14847821972994781395517091597833513801860405097176295209255754273405634127529832648848740378273911<98>

32358778405965305440492935854465363<35>
458849891881505688703834082750529184484557904436360837193089997<63>

Number: n
N=14847821972994781395517091597833513801860405097176295209255754273405634127529832648848740378273911
  ( 98 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=32358778405965305440492935854465363 (pp35)
 r2=458849891881505688703834082750529184484557904436360837193089997 (pp63)
Version: GGNFS-0.77.1-VC8(Wed
Total time: 0.79 hours.
Scaled time: 0.98 units (timescale=1.243).
Factorization parameters were as follows:
name: KA_6_1_101_3
n: 14847821972994781395517091597833513801860405097176295209255754273405634127529832648848740378273911
m:  100000000000000000000
deg: 5
c5:5500
c0: 17
skew: 0.18
type: snfs
rlim: 400000
alim: 400000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 10000
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [200000, 260001)
Primes: RFBsize:33860, AFBsize:33824, largePrimes:1890853 encountered
Relations: rels:1727952, finalFF:90219
Max relations in full relation-set: 28
Initial matrix: 67751 x 90219 with sparse part having weight 7022083.
Pruned matrix : 61776 x 62178 with weight 3504147.
Total sieving time: 0.68 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,103,5,0,0,0,0,0,0,0,0,400000,400000,26,26,52,52,2.4,2.4,20000
total time: 0.79 hours.
 --------- CPU info (if available) ----------

6190973417678248911826496973321001897506450037367806314609001941975686201499624743187528730543<94>

81029967971957752955713055836047647693<38>
76403503205391551231527775810749279533656827067863897451<56>

Number: k1
N=6190973417678248911826496973321001897506450037367806314609001941975686201499624743187528730543
  ( 94 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=81029967971957752955713055836047647693 (pp38)
 r2=76403503205391551231527775810749279533656827067863897451 (pp56)
Version: Msieve-1.39
Total time: 0.20 hours.
Scaled time: 0.50 units (timescale=2.472).
Factorization parameters were as follows:
n: 6190973417678248911826496973321001897506450037367806314609001941975686201499624743187528730543
m: 200000000000000000000000000
deg: 4
c4: 275
c0: 136
skew: 0.84
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2

Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [220000, 300001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 38956 x 39183
Total sieving time: 0.19 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107,4,0,0,0,0,0,0,0,0,440000,440000,25,25,44,44,2.2,2.2,40000
total time: 0.20 hours.
 --------- CPU info (if available) ----------
[    0.140008] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.232014] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.327367] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.424240] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8198000k/10485760k available (2226k kernel code, 189836k reserved, 1082k data, 392k init)
[    0.083992] Calibrating delay using timer specific routine.. 6404.32 BogoMIPS (lpj=12808640)
[    0.152009] Calibrating delay using timer specific routine.. 6400.07 BogoMIPS (lpj=12800150)
[    0.244015] Calibrating delay using timer specific routine.. 6400.09 BogoMIPS (lpj=12800199)
[    0.343793] Calibrating delay using timer specific routine.. 6400.09 BogoMIPS (lpj=12800187)
[    0.428765] Total of 4 processors activated (25604.58 BogoMIPS).

611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<120>

1619798646167707926668253111679<31>

377275973502597272706476705893861400303860757026705314272481031102839141493245455438961847<90>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=905747387
Step 1 took 6385ms
Step 2 took 7264ms
********** Factor found in step 2: 1619798646167707926668253111679
Found probable prime factor of 31 digits: 1619798646167707926668253111679
Composite cofactor has 90 digits

GMP-ECM 6.2.2

377275973502597272706476705893861400303860757026705314272481031102839141493245455438961847<90>

3053270289500435018012281274941085711<37>
123564551359888218602782071126087431100945294762281177<54>

Thu Apr 30 18:48:20 2009  Msieve v. 1.41
Thu Apr 30 18:48:20 2009  random seeds: f3b53190 42af96b3
Thu Apr 30 18:48:20 2009  factoring 377275973502597272706476705893861400303860757026705314272481031102839141493245455438961847 (90 digits)
Thu Apr 30 18:48:21 2009  searching for 15-digit factors
Thu Apr 30 18:48:22 2009  searching for 20-digit factors
Thu Apr 30 18:48:39 2009  searching for 25-digit factors
Thu Apr 30 18:51:51 2009  commencing quadratic sieve (90-digit input)
Thu Apr 30 18:51:51 2009  using multiplier of 1
Thu Apr 30 18:51:51 2009  using 32kb Intel Core sieve core
Thu Apr 30 18:51:51 2009  sieve interval: 36 blocks of size 32768
Thu Apr 30 18:51:51 2009  processing polynomials in batches of 6
Thu Apr 30 18:51:51 2009  using a sieve bound of 1584943 (59903 primes)
Thu Apr 30 18:51:51 2009  using large prime bound of 126795440 (26 bits)
Thu Apr 30 18:51:51 2009  using double large prime bound of 385111478867040 (42-49 bits)
Thu Apr 30 18:51:51 2009  using trial factoring cutoff of 49 bits
Thu Apr 30 18:51:51 2009  polynomial 'A' values have 11 factors
Thu Apr 30 20:33:03 2009  60071 relations (15333 full + 44738 combined from 648878 partial), need 59999
Thu Apr 30 20:33:04 2009  begin with 664211 relations
Thu Apr 30 20:33:05 2009  reduce to 149145 relations in 10 passes
Thu Apr 30 20:33:05 2009  attempting to read 149145 relations
Thu Apr 30 20:33:08 2009  recovered 149145 relations
Thu Apr 30 20:33:08 2009  recovered 131153 polynomials
Thu Apr 30 20:33:08 2009  attempting to build 60071 cycles
Thu Apr 30 20:33:08 2009  found 60071 cycles in 6 passes
Thu Apr 30 20:33:08 2009  distribution of cycle lengths:
Thu Apr 30 20:33:08 2009     length 1 : 15333
Thu Apr 30 20:33:08 2009     length 2 : 11124
Thu Apr 30 20:33:08 2009     length 3 : 10506
Thu Apr 30 20:33:08 2009     length 4 : 8198
Thu Apr 30 20:33:08 2009     length 5 : 5846
Thu Apr 30 20:33:08 2009     length 6 : 3861
Thu Apr 30 20:33:08 2009     length 7 : 2355
Thu Apr 30 20:33:08 2009     length 9+: 2848
Thu Apr 30 20:33:08 2009  largest cycle: 19 relations
Thu Apr 30 20:33:08 2009  matrix is 59903 x 60071 (15.2 MB) with weight 3744595 (62.34/col)
Thu Apr 30 20:33:08 2009  sparse part has weight 3744595 (62.34/col)
Thu Apr 30 20:33:10 2009  filtering completed in 3 passes
Thu Apr 30 20:33:10 2009  matrix is 56440 x 56503 (14.4 MB) with weight 3555074 (62.92/col)
Thu Apr 30 20:33:10 2009  sparse part has weight 3555074 (62.92/col)
Thu Apr 30 20:33:10 2009  saving the first 48 matrix rows for later
Thu Apr 30 20:33:10 2009  matrix is 56392 x 56503 (10.8 MB) with weight 2995473 (53.01/col)
Thu Apr 30 20:33:10 2009  sparse part has weight 2504930 (44.33/col)
Thu Apr 30 20:33:10 2009  matrix includes 64 packed rows
Thu Apr 30 20:33:10 2009  using block size 22601 for processor cache size 3072 kB
Thu Apr 30 20:33:11 2009  commencing Lanczos iteration
Thu Apr 30 20:33:11 2009  memory use: 9.6 MB
Thu Apr 30 20:33:34 2009  lanczos halted after 893 iterations (dim = 56391)
Thu Apr 30 20:33:34 2009  recovered 17 nontrivial dependencies
Thu Apr 30 20:33:34 2009  prp37 factor: 3053270289500435018012281274941085711
Thu Apr 30 20:33:34 2009  prp54 factor: 123564551359888218602782071126087431100945294762281177
Thu Apr 30 20:33:34 2009  elapsed time 01:45:14

Msieve v1.41

Intel Core 2 Duo T8100 / Windows Vista 32bit

6021673481575859773124401532919227792673004029510249607602079740999815999962637314855610908819937<97>

98307462555318089826526950770199792763<38>
61253472778706241794870926147499037925858616278305839202899<59>

Thu Apr 30 07:44:49 2009  Msieve v. 1.41
Thu Apr 30 07:44:49 2009  random seeds: bf780874 d93eee60
Thu Apr 30 07:44:49 2009  factoring 6021673481575859773124401532919227792673004029510249607602079740999815999962637314855610908819937 (97 digits)
Thu Apr 30 07:44:51 2009  searching for 15-digit factors
Thu Apr 30 07:44:52 2009  commencing quadratic sieve (97-digit input)
Thu Apr 30 07:44:53 2009  using multiplier of 17
Thu Apr 30 07:44:53 2009  using 32kb Intel Core sieve core
Thu Apr 30 07:44:53 2009  sieve interval: 36 blocks of size 32768
Thu Apr 30 07:44:53 2009  processing polynomials in batches of 6
Thu Apr 30 07:44:53 2009  using a sieve bound of 2404033 (88123 primes)
Thu Apr 30 07:44:53 2009  using large prime bound of 360604950 (28 bits)
Thu Apr 30 07:44:53 2009  using double large prime bound of 2527301234494800 (43-52 bits)
Thu Apr 30 07:44:53 2009  using trial factoring cutoff of 52 bits
Thu Apr 30 07:44:53 2009  polynomial 'A' values have 13 factors
Thu Apr 30 13:48:31 2009  88458 relations (21528 full + 66930 combined from 1321428 partial), need 88219
Thu Apr 30 13:48:35 2009  begin with 1342956 relations
Thu Apr 30 13:48:36 2009  reduce to 231324 relations in 11 passes
Thu Apr 30 13:48:36 2009  attempting to read 231324 relations
Thu Apr 30 13:48:40 2009  recovered 231324 relations
Thu Apr 30 13:48:40 2009  recovered 218564 polynomials
Thu Apr 30 13:48:41 2009  attempting to build 88458 cycles
Thu Apr 30 13:48:41 2009  found 88458 cycles in 6 passes
Thu Apr 30 13:48:41 2009  distribution of cycle lengths:
Thu Apr 30 13:48:41 2009     length 1 : 21528
Thu Apr 30 13:48:41 2009     length 2 : 15366
Thu Apr 30 13:48:41 2009     length 3 : 14830
Thu Apr 30 13:48:41 2009     length 4 : 12274
Thu Apr 30 13:48:41 2009     length 5 : 8982
Thu Apr 30 13:48:41 2009     length 6 : 6220
Thu Apr 30 13:48:41 2009     length 7 : 3944
Thu Apr 30 13:48:41 2009     length 9+: 5314
Thu Apr 30 13:48:41 2009  largest cycle: 22 relations
Thu Apr 30 13:48:41 2009  matrix is 88123 x 88458 (23.7 MB) with weight 5867152 (66.33/col)
Thu Apr 30 13:48:41 2009  sparse part has weight 5867152 (66.33/col)
Thu Apr 30 13:48:43 2009  filtering completed in 3 passes
Thu Apr 30 13:48:43 2009  matrix is 84104 x 84167 (22.7 MB) with weight 5602479 (66.56/col)
Thu Apr 30 13:48:43 2009  sparse part has weight 5602479 (66.56/col)
Thu Apr 30 13:48:43 2009  saving the first 48 matrix rows for later
Thu Apr 30 13:48:43 2009  matrix is 84056 x 84167 (13.7 MB) with weight 4362940 (51.84/col)
Thu Apr 30 13:48:43 2009  sparse part has weight 3088177 (36.69/col)
Thu Apr 30 13:48:43 2009  matrix includes 64 packed rows
Thu Apr 30 13:48:43 2009  using block size 33666 for processor cache size 1024 kB
Thu Apr 30 13:48:44 2009  commencing Lanczos iteration
Thu Apr 30 13:48:44 2009  memory use: 13.5 MB
Thu Apr 30 13:49:34 2009  lanczos halted after 1331 iterations (dim = 84054)
Thu Apr 30 13:49:34 2009  recovered 17 nontrivial dependencies
Thu Apr 30 13:49:35 2009  prp38 factor: 98307462555318089826526950770199792763
Thu Apr 30 13:49:35 2009  prp59 factor: 61253472778706241794870926147499037925858616278305839202899
Thu Apr 30 13:49:35 2009  elapsed time 06:04:46

1687582984400237563818213450460429248882679688106067622082261453494543901533963532663363502192978802402071254669070361683<121>

4682653728534234711143308235969476153633<40>
360390300507760405496205851150786683695433826066308510126793078082183441435140851<81>

Number: 61113_127
N=1687582984400237563818213450460429248882679688106067622082261453494543901533963532663363502192978802402071254669070361683
  ( 121 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=4682653728534234711143308235969476153633 (pp40)
 r2=360390300507760405496205851150786683695433826066308510126793078082183441435140851 (pp81)
Version: Msieve-1.39
Total time: 2.48 hours.
Scaled time: 6.39 units (timescale=2.571).
Factorization parameters were as follows:
n: 1687582984400237563818213450460429248882679688106067622082261453494543901533963532663363502192978802402071254669070361683
m: 50000000000000000000000000
deg: 5
c5: 44
c0: 425
skew: 1.57
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 965001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 155761 x 155992
Total sieving time: 2.48 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,130,5,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,50000
total time: 2.48 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

3376304481276856967464702271332105586249232658072437077961939840392879066912216083486801718845917740945365254757519950890116635973<130>

2959810039062819990859007912121336939581988177042521633010731909<64>
1140716612457302757427878310231801315808493275159253651509479151297<67>

Number: 61113_131
N=3376304481276856967464702271332105586249232658072437077961939840392879066912216083486801718845917740945365254757519950890116635973
  ( 130 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=2959810039062819990859007912121336939581988177042521633010731909 (pp64)
 r2=1140716612457302757427878310231801315808493275159253651509479151297 (pp67)
Version: Msieve-1.39
Total time: 2.67 hours.
Scaled time: 6.87 units (timescale=2.577).
Factorization parameters were as follows:
n: 3376304481276856967464702271332105586249232658072437077961939840392879066912216083486801718845917740945365254757519950890116635973
m: 200000000000000000000000000
deg: 5
c5: 275
c0: 272
skew: 1.00
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 152852 x 153094
Total sieving time: 2.67 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,133,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 2.67 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

258382100463852506230968335487805430257100969220134618900431126539928243525631289673555119871<93>

13042718211587829831766097413915690329339148483<47>
19810448732557328228341823177874542870780022037<47>

Thu Apr 30 14:57:37 2009  Msieve v. 1.41
Thu Apr 30 14:57:37 2009  random seeds: 9171f740 959a443a
Thu Apr 30 14:57:37 2009  factoring 258382100463852506230968335487805430257100969220134618900431126539928243525631289673555119871 (93 digits)
Thu Apr 30 14:57:37 2009  searching for 15-digit factors
Thu Apr 30 14:57:39 2009  commencing quadratic sieve (93-digit input)
Thu Apr 30 14:57:39 2009  using multiplier of 1
Thu Apr 30 14:57:39 2009  using 32kb Intel Core sieve core
Thu Apr 30 14:57:39 2009  sieve interval: 36 blocks of size 32768
Thu Apr 30 14:57:39 2009  processing polynomials in batches of 6
Thu Apr 30 14:57:39 2009  using a sieve bound of 1889131 (70449 primes)
Thu Apr 30 14:57:39 2009  using large prime bound of 221028327 (27 bits)
Thu Apr 30 14:57:39 2009  using double large prime bound of 1047143580966873 (42-50 bits)
Thu Apr 30 14:57:39 2009  using trial factoring cutoff of 50 bits
Thu Apr 30 14:57:39 2009  polynomial 'A' values have 12 factors
Thu Apr 30 16:54:56 2009  70670 relations (18405 full + 52265 combined from 916226 partial), need 70545
Thu Apr 30 16:54:57 2009  begin with 934631 relations
Thu Apr 30 16:54:58 2009  reduce to 177805 relations in 13 passes
Thu Apr 30 16:54:58 2009  attempting to read 177805 relations
Thu Apr 30 16:55:00 2009  recovered 177805 relations
Thu Apr 30 16:55:00 2009  recovered 156794 polynomials
Thu Apr 30 16:55:01 2009  attempting to build 70670 cycles
Thu Apr 30 16:55:01 2009  found 70670 cycles in 6 passes
Thu Apr 30 16:55:01 2009  distribution of cycle lengths:
Thu Apr 30 16:55:01 2009     length 1 : 18405
Thu Apr 30 16:55:01 2009     length 2 : 13040
Thu Apr 30 16:55:01 2009     length 3 : 12090
Thu Apr 30 16:55:01 2009     length 4 : 9445
Thu Apr 30 16:55:01 2009     length 5 : 6860
Thu Apr 30 16:55:01 2009     length 6 : 4372
Thu Apr 30 16:55:01 2009     length 7 : 2799
Thu Apr 30 16:55:01 2009     length 9+: 3659
Thu Apr 30 16:55:01 2009  largest cycle: 18 relations
Thu Apr 30 16:55:01 2009  matrix is 70449 x 70670 (17.6 MB) with weight 4333606 (61.32/col)
Thu Apr 30 16:55:01 2009  sparse part has weight 4333606 (61.32/col)
Thu Apr 30 16:55:02 2009  filtering completed in 3 passes
Thu Apr 30 16:55:02 2009  matrix is 66349 x 66413 (16.7 MB) with weight 4101622 (61.76/col)
Thu Apr 30 16:55:02 2009  sparse part has weight 4101622 (61.76/col)
Thu Apr 30 16:55:02 2009  saving the first 48 matrix rows for later
Thu Apr 30 16:55:02 2009  matrix is 66301 x 66413 (10.0 MB) with weight 3166149 (47.67/col)
Thu Apr 30 16:55:02 2009  sparse part has weight 2210961 (33.29/col)
Thu Apr 30 16:55:02 2009  matrix includes 64 packed rows
Thu Apr 30 16:55:02 2009  using block size 26565 for processor cache size 1024 kB
Thu Apr 30 16:55:03 2009  commencing Lanczos iteration
Thu Apr 30 16:55:03 2009  memory use: 10.0 MB
Thu Apr 30 16:55:30 2009  lanczos halted after 1050 iterations (dim = 66297)
Thu Apr 30 16:55:30 2009  recovered 15 nontrivial dependencies
Thu Apr 30 16:55:31 2009  prp47 factor: 13042718211587829831766097413915690329339148483
Thu Apr 30 16:55:31 2009  prp47 factor: 19810448732557328228341823177874542870780022037
Thu Apr 30 16:55:31 2009  elapsed time 01:57:54

111124379760904060998273023772063612247139489669364432832383286955350483631183018958061606008642952568793901<108>

1187288381940462130868009909981206026936967<43>
93595104147558747071446841923837021201891200362881632886909849003<65>

Number: 61113_118
N=111124379760904060998273023772063612247139489669364432832383286955350483631183018958061606008642952568793901
  ( 108 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=1187288381940462130868009909981206026936967 (pp43)
 r2=93595104147558747071446841923837021201891200362881632886909849003 (pp65)
Version: Msieve-1.39
Total time: 5.36 hours.
Scaled time: 13.78 units (timescale=2.571).
Factorization parameters were as follows:
n: 111124379760904060998273023772063612247139489669364432832383286955350483631183018958061606008642952568793901
m: 5000000000000000000000000000
deg: 5
c5: 88
c0: 85
skew: 0.99
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [765000, 1665001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 239127 x 239362
Total sieving time: 5.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,75000
total time: 5.36 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1217826297265224073102082739938273395751150789544672150731742120357286571820237935321180590087550810674361752653167<115>

81763899605527921358782677567481<32>
4069370006867177330397707858452514611997<40>
3660130512500783146450462819085092132451731<43>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 1217826297265224073102082739938273395751150789544672150731742120357286571820237935321180590087550810674361752653167 (115 digits)
Using B1=1372000, B2=1426564240, polynomial Dickson(6), sigma=3773204362
Step 1 took 13509ms
Step 2 took 5117ms
********** Factor found in step 2: 81763899605527921358782677567481
Found probable prime factor of 32 digits: 81763899605527921358782677567481
Composite cofactor 14894425328790077194413442180434380837484123126965525964547625497245590385796016807 has 83 digits


Thu Apr 30 19:21:58 2009  
Thu Apr 30 19:21:58 2009  
Thu Apr 30 19:21:58 2009  Msieve v. 1.39
Thu Apr 30 19:21:58 2009  random seeds: 891a2560 10e6359e
Thu Apr 30 19:21:58 2009  factoring 14894425328790077194413442180434380837484123126965525964547625497245590385796016807 (83 digits)
Thu Apr 30 19:21:58 2009  searching for 15-digit factors
Thu Apr 30 19:21:59 2009  commencing quadratic sieve (83-digit input)
Thu Apr 30 19:21:59 2009  using multiplier of 3
Thu Apr 30 19:21:59 2009  using 32kb Intel Core sieve core
Thu Apr 30 19:21:59 2009  sieve interval: 12 blocks of size 32768
Thu Apr 30 19:21:59 2009  processing polynomials in batches of 17
Thu Apr 30 19:21:59 2009  using a sieve bound of 1355089 (52059 primes)
Thu Apr 30 19:21:59 2009  using large prime bound of 124668188 (26 bits)
Thu Apr 30 19:21:59 2009  using trial factoring cutoff of 27 bits
Thu Apr 30 19:21:59 2009  polynomial 'A' values have 11 factors
Thu Apr 30 19:39:42 2009  52241 relations (26351 full + 25890 combined from 281262 partial), need 52155
Thu Apr 30 19:39:42 2009  begin with 307613 relations
Thu Apr 30 19:39:42 2009  reduce to 74928 relations in 2 passes
Thu Apr 30 19:39:42 2009  attempting to read 74928 relations
Thu Apr 30 19:39:43 2009  recovered 74928 relations
Thu Apr 30 19:39:43 2009  recovered 68440 polynomials
Thu Apr 30 19:39:43 2009  attempting to build 52241 cycles
Thu Apr 30 19:39:43 2009  found 52241 cycles in 1 passes
Thu Apr 30 19:39:43 2009  distribution of cycle lengths:
Thu Apr 30 19:39:43 2009     length 1 : 26351
Thu Apr 30 19:39:43 2009     length 2 : 25890
Thu Apr 30 19:39:43 2009  largest cycle: 2 relations
Thu Apr 30 19:39:43 2009  matrix is 52059 x 52241 (7.1 MB) with weight 1660494 (31.79/col)
Thu Apr 30 19:39:43 2009  sparse part has weight 1660494 (31.79/col)
Thu Apr 30 19:39:43 2009  filtering completed in 3 passes
Thu Apr 30 19:39:43 2009  matrix is 38003 x 38067 (5.7 MB) with weight 1338402 (35.16/col)
Thu Apr 30 19:39:43 2009  sparse part has weight 1338402 (35.16/col)
Thu Apr 30 19:39:43 2009  saving the first 48 matrix rows for later
Thu Apr 30 19:39:43 2009  matrix is 37955 x 38067 (3.6 MB) with weight 1010804 (26.55/col)
Thu Apr 30 19:39:43 2009  sparse part has weight 719314 (18.90/col)
Thu Apr 30 19:39:43 2009  matrix includes 64 packed rows
Thu Apr 30 19:39:43 2009  using block size 15226 for processor cache size 6144 kB
Thu Apr 30 19:39:44 2009  commencing Lanczos iteration
Thu Apr 30 19:39:44 2009  memory use: 4.2 MB
Thu Apr 30 19:39:47 2009  lanczos halted after 602 iterations (dim = 37953)
Thu Apr 30 19:39:47 2009  recovered 17 nontrivial dependencies
Thu Apr 30 19:39:47 2009  prp40 factor: 4069370006867177330397707858452514611997
Thu Apr 30 19:39:47 2009  prp43 factor: 3660130512500783146450462819085092132451731
Thu Apr 30 19:39:47 2009  elapsed time 00:17:49

3661941792028893320771674453906461398736845292068741409358102612764247173984037287722223413240085681776284995306884363<118>

10615121701713873642054896444448927095209397<44>
344974075185369880980187433999848289501839524696372984170815766498887686079<75>

Number: 61113_140
N=3661941792028893320771674453906461398736845292068741409358102612764247173984037287722223413240085681776284995306884363
  ( 118 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=10615121701713873642054896444448927095209397 (pp44)
 r2=344974075185369880980187433999848289501839524696372984170815766498887686079 (pp75)
Version: Msieve-1.39
Total time: 4.88 hours.
Scaled time: 12.50 units (timescale=2.560).
Factorization parameters were as follows:
n: 3661941792028893320771674453906461398736845292068741409358102612764247173984037287722223413240085681776284995306884363
m: 10000000000000000000000000000
deg: 5
c5: 55
c0: 17
skew: 0.79
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1605001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248771 x 249007
Total sieving time: 4.88 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,141,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 4.88 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

149798170465404801889673648353571477390630741370430580041195733866328662659834965071847732868899781815670187328774549033441<123>

60340823343326933516766372625551502784610350942842391<53>
2482534413113388832724548281270442360749001612536624017335879644836551<70>

Number: 61113_143
N=149798170465404801889673648353571477390630741370430580041195733866328662659834965071847732868899781815670187328774549033441
  ( 123 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=60340823343326933516766372625551502784610350942842391 (pp53)
 r2=2482534413113388832724548281270442360749001612536624017335879644836551 (pp70)
Version: Msieve-1.39
Total time: 8.00 hours.
Scaled time: 20.60 units (timescale=2.576).
Factorization parameters were as follows:
n: 149798170465404801889673648353571477390630741370430580041195733866328662659834965071847732868899781815670187328774549033441
m: 50000000000000000000000000000
deg: 5
c5: 88
c0: 85
skew: 0.99
type: snfs
lss: 1
rlim: 1860000
alim: 1860000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1860000/1860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [930000, 2230001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 318333 x 318562
Total sieving time: 8.00 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,145,5,0,0,0,0,0,0,0,0,1860000,1860000,26,26,49,49,2.3,2.3,100000
total time: 8.00 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

991232047909020325177097572719621562742925067741248714124225850023383164010173789470927731740455872665105602348016057166190487802051608839<138>

62047967175543760816542807092147978147061016750701197820446736461993<68>
15975254194946695413822386088009888763248723626869235808879754858431023<71>

Number: n
N=991232047909020325177097572719621562742925067741248714124225850023383164010173789470927731740455872665105602348016057166190487802051608839
  ( 138 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=62047967175543760816542807092147978147061016750701197820446736461993 (pp68)
 r2=15975254194946695413822386088009888763248723626869235808879754858431023 (pp71)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 6.15 hours.
Scaled time: 16.36 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_1_143_3
n: 991232047909020325177097572719621562742925067741248714124225850023383164010173789470927731740455872665105602348016057166190487802051608839
m: 100000000000000000000000000000
deg: 5
c5: 11
c0: 34
skew: 1.25
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [950000, 2050001)
Primes: RFBsize:142029, AFBsize:142593, largePrimes:6880110 encountered
Relations: rels:6253829, finalFF:326860
Max relations in full relation-set: 28
Initial matrix: 284687 x 326860 with sparse part having weight 29127953.
Pruned matrix : 268932 x 270419 with weight 21137673.
Total sieving time: 5.74 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.24 hours.
Total square root time: 0.08 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1900000,1900000,28,28,56,56,2.3,2.3,100000
total time: 6.15 hours.
 --------- CPU info (if available) ----------

2322928543420475118824821236796569054213102688127694063920166482940863388996539736729948247430475893861048264045178605545393523786191<133>

107016565731908504231459299776275005741<39>
21706251995039129583953685992479342156376606649272283107467957832369820404585460036933394617451<95>

Number: n
N=2322928543420475118824821236796569054213102688127694063920166482940863388996539736729948247430475893861048264045178605545393523786191
  ( 133 digits)
SNFS difficulty: 146 digits.
Divisors found:

Fri May 01 18:04:23 2009  prp39 factor: 107016565731908504231459299776275005741
Fri May 01 18:04:23 2009  prp95 factor: 21706251995039129583953685992479342156376606649272283107467957832369820404585460036933394617451
Fri May 01 18:04:23 2009  elapsed time 00:17:55 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 6.00 hours.
Scaled time: 15.95 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_1_144_3
n: 2322928543420475118824821236796569054213102688127694063920166482940863388996539736729948247430475893861048264045178605545393523786191
m: 100000000000000000000000000000
deg: 5
c5: 55
c0: 17
skew: 0.79
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1000000, 1999567)
Primes: RFBsize:148933, AFBsize:148321, largePrimes:9515026 encountered
Relations: rels:8485513, finalFF:307147
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 859106 hash collisions in 9671035 relations
Msieve: matrix is 341182 x 341430 (91.2 MB)

Total sieving time: 5.80 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,56,56,2.4,2.4,100000
total time: 6.00 hours.
 --------- CPU info (if available) ----------

85257307180663645777655545117027633679803372464365020456848138665445440598020230260861824971246596997401711612151618479710857<125>

160965543312759353198552642730359050359052328137190922370513<60>
529661848281448338885793967808712449857065677368809581586525810489<66>

Number: 61113_146
N=85257307180663645777655545117027633679803372464365020456848138665445440598020230260861824971246596997401711612151618479710857
  ( 125 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=160965543312759353198552642730359050359052328137190922370513 (pp60)
 r2=529661848281448338885793967808712449857065677368809581586525810489 (pp66)
Version: Msieve-1.39
Total time: 7.58 hours.
Scaled time: 13.18 units (timescale=1.739).
Factorization parameters were as follows:
n: 85257307180663645777655545117027633679803372464365020456848138665445440598020230260861824971246596997401711612151618479710857
m: 200000000000000000000000000000
deg: 5
c5: 275
c0: 272
skew: 1.00
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, 2350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 331424 x 331672
Total sieving time: 7.58 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,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 7.58 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

360828976895667299737562769774660717483559074368529041201510988550692299042274113620704153686059912843<102>

8420887143370657565490007495995287668142801<43>
42849283068676424463551912087229682013357069256594047052443<59>

Number: 61113_150
N=360828976895667299737562769774660717483559074368529041201510988550692299042274113620704153686059912843
  ( 102 digits)
Divisors found:
 r1=8420887143370657565490007495995287668142801 (pp43)
 r2=42849283068676424463551912087229682013357069256594047052443 (pp59)
Version: Msieve-1.40
Total time: 4.78 hours.
Scaled time: 12.22 units (timescale=2.554).
Factorization parameters were as follows:
name: 61113_150
# Murphy_E = 3.043745e-09, selected by Jeff Gilchrist
n: 360828976895667299737562769774660717483559074368529041201510988550692299042274113620704153686059912843
Y0: -44113535318694843826
Y1: 24303255677
c0: 465157296557827797222705
c1: 268644217472380387089
c2: 16241102223304477
c3: -1397388248401
c4: -105304494
c5: 2160
skew: 16337.53
type: gnfs
# selected mechanically
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.4
alambda: 2.4
Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [835000, 1435001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 220727 x 220975
Total sieving time: 4.78 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1670000,1670000,26,26,48,48,2.4,2.4,100000
total time: 4.78 hours.
 --------- CPU info (if available) ----------

10151118877849548401188089456175729029236441628323407793634299245381671285719861686972157486834518691140029954849212458085091866984755239827387<143>

3308092725448856055133083186613<31>
3068571445944642173555566328749439194505144924727462058149060519333716290496346376102747785291468715529594477999<112>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1070043456
Step 1 took 7665ms
Step 2 took 8164ms
********** Factor found in step 2: 3308092725448856055133083186613
Found probable prime factor of 31 digits: 3308092725448856055133083186613
Probable prime cofactor has 112 digits

GMP-ECM 6.2.2

174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439063<153>

1232654391467284570396223070468890151373701148611847251467<58>
141244562033352471422960766465762608824220881553425132457487800547462661060496451035078688975589<96>

Number: 61113_154
N=174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439063
  ( 153 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=1232654391467284570396223070468890151373701148611847251467 (pp58)
 r2=141244562033352471422960766465762608824220881553425132457487800547462661060496451035078688975589 (pp96)
Version: Msieve-1.39
Total time: 17.35 hours.
Scaled time: 44.60 units (timescale=2.571).
Factorization parameters were as follows:
n: 174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439062994618550174105729661285216840772396327951883507439063
m: 10000000000000000000000000000000
deg: 5
c5: 11
c0: 34
skew: 1.25
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 445869 x 446117
Total sieving time: 17.35 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 17.35 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

137135790667987258497062069606788365533877730492617388925132440398292490112752801128294151957777779325427769881630714049121531915355137<135>

12124727791377638326845253721179147109990591753399<50>
11310422223706317727474682057533510318275643666078995018519442259981719412163525709063<86>

Number: n
N=137135790667987258497062069606788365533877730492617388925132440398292490112752801128294151957777779325427769881630714049121531915355137
  ( 135 digits)
SNFS difficulty: 160 digits.
Divisors found:

Mon May 04 12:12:16 2009  prp50 factor: 12124727791377638326845253721179147109990591753399
Mon May 04 12:12:16 2009  prp86 factor: 11310422223706317727474682057533510318275643666078995018519442259981719412163525709063
Mon May 04 12:12:16 2009  elapsed time 02:17:24 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 39.62 hours.
Scaled time: 52.02 units (timescale=1.313).
Factorization parameters were as follows:
name: KA_6_1_156_3
n: 137135790667987258497062069606788365533877730492617388925132440398292490112752801128294151957777779325427769881630714049121531915355137
m: 50000000000000000000000000000000
deg: 5
c5: 44
c0: 425
skew: 1.57
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1650000, 3210121)
Primes: RFBsize:236900, AFBsize:237488, largePrimes:13811646 encountered
Relations: rels:13142029, finalFF:416258
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1330848 hash collisions in 14317622 relations
Msieve: matrix is 578036 x 578284 (153.5 MB)

Total sieving time: 39.12 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,28,28,56,56,2.4,2.4,100000
total time: 39.62 hours.
 --------- CPU info (if available) ----------

1846257133266196710305471634776770728432359852299429338704263175562269217858341725411211816045652903658945955018462571332661967103054716347767707284323598523<157>

473827959932100290692183934041550493799062394539511<51>
3896471482034884541768779423085832074586818741605048169360830630153978031461284856168107994452562187584093<106>

Number: 61113_158
N=1846257133266196710305471634776770728432359852299429338704263175562269217858341725411211816045652903658945955018462571332661967103054716347767707284323598523
  ( 157 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=473827959932100290692183934041550493799062394539511 (pp51)
 r2=3896471482034884541768779423085832074586818741605048169360830630153978031461284856168107994452562187584093 (pp106)
Version: Msieve-1.39
Total time: 28.19 hours.
Scaled time: 49.02 units (timescale=1.739).
Factorization parameters were as follows:
n: 1846257133266196710305471634776770728432359852299429338704263175562269217858341725411211816045652903658945955018462571332661967103054716347767707284323598523
m: 50000000000000000000000000000000
deg: 5
c5: 88
c0: 85
skew: 0.99
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 608868 x 609116
Total sieving time: 28.19 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 28.19 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

273703038093879591074250157422546137883823419528662340911505327987668867536699780839613305549266028283942751636145364283724805214548251413217634381<147>

988927876452064515740826404730390842363<39>
276767441399096380316151693006323720191422239464515146167317202352562731456327706585980600161679177720537687<108>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 273703038093879591074250157422546137883823419528662340911505327987668867536699780839613305549266028283942751636145364283724805214548251413217634381 (147 digits)
Using B1=2428000, B2=3567796060, polynomial Dickson(6), sigma=1970218074
Step 1 took 37377ms
Step 2 took 12590ms
********** Factor found in step 2: 988927876452064515740826404730390842363
Found probable prime factor of 39 digits: 988927876452064515740826404730390842363
Probable prime cofactor 276767441399096380316151693006323720191422239464515146167317202352562731456327706585980600161679177720537687 has 108 digits

1630202193882551104644598265925382882273090792872901616189458196053098853630152192869885169100062147087738877976546460977103393162871641515066409748427<151>

282451979306041155940265917052798974301<39>
644722799675175966492607182499443099118039843<45>
8952077269999371031550399889027325040511664465137117896843843554189<67>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 1630202193882551104644598265925382882273090792872901616189458196053098853630152192869885169100062147087738877976546460977103393162871641515066409748427 (151 digits)
Using B1=2830000, B2=4281592780, polynomial Dickson(6), sigma=2000062157
Step 1 took 43743ms
Step 2 took 9375ms
********** Factor found in step 2: 282451979306041155940265917052798974301
Found probable prime factor of 39 digits: 282451979306041155940265917052798974301
Composite cofactor 5771608320422500642589016843134140631258908662565308929895490414334452685237669024313423499189266080364031552327 has 112 digits


GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 5771608320422500642589016843134140631258908662565308929895490414334452685237669024313423499189266080364031552327 (112 digits)
Using B1=4640000, B2=8562235510, polynomial Dickson(6), sigma=1859142445
Step 1 took 45879ms
********** Factor found in step 1: 644722799675175966492607182499443099118039843
Found probable prime factor of 45 digits: 644722799675175966492607182499443099118039843
Probable prime cofactor 8952077269999371031550399889027325040511664465137117896843843554189 has 67 digits

7830453672911169816739466041188016318913244857508424008110812471942050633932960185035002833034958319<100>

5465358655311332029004825867899211<34>
1432742875035547153933750660830179143999140191987535372145307749229<67>

Number: 61113_165
N=7830453672911169816739466041188016318913244857508424008110812471942050633932960185035002833034958319
  ( 100 digits)
Divisors found:
 r1=5465358655311332029004825867899211 (pp34)
 r2=1432742875035547153933750660830179143999140191987535372145307749229 (pp67)
Version: Msieve-1.40
Total time: 4.52 hours.
Scaled time: 11.59 units (timescale=2.564).
Factorization parameters were as follows:
name: 61113_165
# Murphy_E = 3.280698e-09, selected by Jeff Gilchrist
n: 7830453672911169816739466041188016318913244857508424008110812471942050633932960185035002833034958319
Y0: -23554394723977259197
Y1: 6482663053
c0: 626424900598470617370720
c1: 408296215573260026130
c2: -14200135718664369
c3: -3571120408384
c4: 30953858
c5: 1080
skew: 22078.27
type: gnfs
# selected mechanically
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.4
alambda: 2.4
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206809 x 207057
Total sieving time: 4.52 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:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,47,47,2.4,2.4,100000
total time: 4.52 hours.
 --------- CPU info (if available) ----------

455692220094378475899028019297894009795617089865204368694899943284127257853245517194919666672096984551704299608853985767015618988158532829578064133<147>

96341799290463865188662743214896995784016161192590672095139619<62>
4729953389395374818079029796745396474394029557670207973418519714975101293655196577207<85>

Number: n
N=455692220094378475899028019297894009795617089865204368694899943284127257853245517194919666672096984551704299608853985767015618988158532829578064133
  ( 147 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue May 05 13:44:14 2009  prp62 factor: 96341799290463865188662743214896995784016161192590672095139619
Tue May 05 13:44:14 2009  prp85 factor: 4729953389395374818079029796745396474394029557670207973418519714975101293655196577207
Tue May 05 13:44:14 2009  elapsed time 01:23:46 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 54.51 hours.
Scaled time: 144.41 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_1_167_3
n: 455692220094378475899028019297894009795617089865204368694899943284127257853245517194919666672096984551704299608853985767015618988158532829578064133
m: 5000000000000000000000000000000000
deg: 5
c5: 88
c0: 85
skew: 0.99
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2450000, 5522809)
Primes: RFBsize:341992, AFBsize:342599, largePrimes:17230416 encountered
Relations: rels:16855884, finalFF:673202
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2033482 hash collisions in 18633936 relations
Msieve: matrix is 876911 x 877159 (232.8 MB)

Total sieving time: 53.25 hours.
Total relation processing time: 1.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,28,28,56,56,2.4,2.4,100000
total time: 54.51 hours.
 --------- CPU info (if available) ----------

522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317189<171>

493749677347938526775502150247920833506391063<45>
1057858289223318308788894162344464041259794820007724457791366870178514553961234787544201200451027293578968082744471755879288003<127>

Number: n
N=522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317189
  ( 171 digits)
SNFS difficulty: 175 digits.
Divisors found:

Fri May 08 02:39:21 2009  prp45 factor: 493749677347938526775502150247920833506391063
Fri May 08 02:39:21 2009  prp127 factor: 1057858289223318308788894162344464041259794820007724457791366870178514553961234787544201200451027293578968082744471755879288003
Fri May 08 02:39:21 2009  elapsed time 02:22:25 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 91.95 hours.
Scaled time: 238.60 units (timescale=2.595).
Factorization parameters were as follows:
name: KA_6_1_171_3
n: 522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317188983855650522317189
m: 50000000000000000000000000000000000
deg: 5
c5: 44
c0: 425
skew: 1.57
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2900000, 7700001)
Primes: RFBsize:399993, AFBsize:400815, largePrimes:21169931 encountered
Relations: rels:21218933, finalFF:661920
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2987853 hash collisions in 24011991 relations
Msieve: matrix is 1038429 x 1038677 (273.8 MB)

Total sieving time: 90.52 hours.
Total relation processing time: 1.43 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,56,56,2.5,2.5,100000
total time: 91.95 hours.
 --------- CPU info (if available) ----------

188234426423725474262396228486340490932133565653666574676867823644258558714134008433256528993426924180799536622158486511588006671339086564671718005988651503<156>

1502221108847147816089653844878208888805068411868344667<55>
125304074956171099691498672219190448198448833981860276879364617797412055984449707500841917018971648509<102>

Number: 61113_174
N=188234426423725474262396228486340490932133565653666574676867823644258558714134008433256528993426924180799536622158486511588006671339086564671718005988651503
  ( 156 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=1502221108847147816089653844878208888805068411868344667
 r2=125304074956171099691498672219190448198448833981860276879364617797412055984449707500841917018971648509
Version: 
Total time: 120.87 hours.
Scaled time: 243.44 units (timescale=2.014).
Factorization parameters were as follows:
n: 188234426423725474262396228486340490932133565653666574676867823644258558714134008433256528993426924180799536622158486511588006671339086564671718005988651503
m: 50000000000000000000000000000000000
deg: 5
c5: 176
c0: 17
skew: 0.63
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 6550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 928329 x 928577
Total sieving time: 120.87 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 120.87 hours.
 --------- CPU info (if available) ----------

9257729581756774801900532700075875990291164102204579641526778294521711571516951942268910970429687861396301000038292239774833656566512845311641346697895379941<157>

18733926729269387689065089874154995040101661974780377<53>
494169199844939337124870844405096286909648811888218468536353415006855154506636648905611905285707612407533<105>

Number: n
N=9257729581756774801900532700075875990291164102204579641526778294521711571516951942268910970429687861396301000038292239774833656566512845311641346697895379941
  ( 157 digits)
SNFS difficulty: 177 digits.
Divisors found:

Fri Jan 13 01:38:17 2012  prp53 factor: 18733926729269387689065089874154995040101661974780377
Fri Jan 13 01:38:17 2012  prp105 factor: 494169199844939337124870844405096286909648811888218468536353415006855154506636648905611905285707612407533
Fri Jan 13 01:38:17 2012  elapsed time 02:09:50 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.647).
Factorization parameters were as follows:
name: KA_61113_176
n: 9257729581756774801900532700075875990291164102204579641526778294521711571516951942268910970429687861396301000038292239774833656566512845311641346697895379941
m: 100000000000000000000000000000000000
deg: 5
c5: 550
c0: 17
skew: 0.50
type: snfs
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8506467 hash collisions in 75000099 relations
Msieve: matrix is 1035440 x 1035684 (288.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

178999019816964082346441696683454816306172124550572550016823629213737333045443697336622476671482762654551593738111421875552113549989<132>

60619930020584405310487036426918061<35>
2952808090609512148978894706174668069252869107539830545924667357501023911513029612145352044665049<97>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3248460931
Step 1 took 15803ms
Step 2 took 9953ms
********** Factor found in step 2: 60619930020584405310487036426918061
Found probable prime factor of 35 digits: 60619930020584405310487036426918061
Probable prime cofactor 2952808090609512148978894706174668069252869107539830545924667357501023911513029612145352044665049 has 97 digits

GMP-ECM 6.3

30121235766388892499866111339535789998720146621589573899917750804695750352029103722640116067391102429395967495150570947473704264931143259236146647<146>

378085908620841077930651883306380494222897<42>
79667702708792600844252037283358842220012689536715589790664075166077122730884774500357492181278311983751<104>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2639716402
Step 1 took 9831ms
Step 2 took 4575ms
********** Factor found in step 2: 378085908620841077930651883306380494222897
Found probable prime factor of 42 digits: 378085908620841077930651883306380494222897
Probable prime cofactor 79667702708792600844252037283358842220012689536715589790664075166077122730884774500357492181278311983751 has 104 digits

GMP-ECM 6.3

611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<180>

12377994530432761028221676774712257063726401<44>
73269204460209175829580074342407808171006969<44>
673827013176111083910624677558147698900308166031355405696528671720862868315586604941485397777<93>

Number: 61113_179
N=611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=12377994530432761028221676774712257063726401 (pp44)
 r2=73269204460209175829580074342407808171006969 (pp44)
 r3=673827013176111083910624677558147698900308166031355405696528671720862868315586604941485397777 (pp93)
Version: Msieve-1.39
Total time: 137.25 hours.
Scaled time: 238.68 units (timescale=1.739).
Factorization parameters were as follows:
n: 611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
m: 1000000000000000000000000000000000000
deg: 5
c5: 11
c0: 34
skew: 1.25
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 5950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1290361 x 1290609
Total sieving time: 137.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 137.25 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

360165202147503940250654139367752230629616405477120253751748618585015054224423650823840572257268216739324281485623101826655770306041944371894915677100081<153>

7845282138667076210992842909059642309051<40>
45908508550936127762517332952488330112923161443262710972166606601459777540955752484365108568394774928944250294531<113>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 360165202147503940250654139367752230629616405477120253751748618585015054224423650823840572257268216739324281485623101826655770306041944371894915677100081 (153 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=157042163
Step 1 took 24629ms
Step 2 took 723ms
********** Factor found in step 2: 7845282138667076210992842909059642309051
Found probable prime factor of 40 digits: 7845282138667076210992842909059642309051
Probable prime cofactor 45908508550936127762517332952488330112923161443262710972166606601459777540955752484365108568394774928944250294531 has 113 digits

Core i7-4930K

36455323465638643539658213877307100028757412521774479550624550883233457524614894503527311600811897203126576789373140909480692184566551118568436837925627943673296193<164>

453879733719935952474218148618616977057133967<45>
80319346199610676450572045798888774880196676723959567435587401098558909917740161057241877352711519078644207368380178479<119>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 36455323465638643539658213877307100028757412521774479550624550883233457524614894503527311600811897203126576789373140909480692184566551118568436837925627943673296193 (164 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2718313580
Step 1 took 29721ms
Step 2 took 9860ms
********** Factor found in step 2: 453879733719935952474218148618616977057133967
Found probable prime factor of 45 digits: 453879733719935952474218148618616977057133967
Probable prime cofactor 80319346199610676450572045798888774880196676723959567435587401098558909917740161057241877352711519078644207368380178479 has 119 digits

Core i7-4930K

611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<186>

1096040361315018452438210082225829075210151<43>

557562597765930815412243176953401553071377242201602332140988914411667452895150577949126139543829258917591831711208244743857512136813261667131663<144>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (186 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2707379689
Step 1 took 29921ms
Step 2 took 19500ms
********** Factor found in step 2: 1096040361315018452438210082225829075210151
Found probable prime factor of 43 digits: 1096040361315018452438210082225829075210151
Composite cofactor 557562597765930815412243176953401553071377242201602332140988914411667452895150577949126139543829258917591831711208244743857512136813261667131663 has 144 digits

Core 2 Quad Q6600

557562597765930815412243176953401553071377242201602332140988914411667452895150577949126139543829258917591831711208244743857512136813261667131663<144>

262608222024256057080440484626863017447403009950774830321<57>
2123172661800478654228807833089883467220558132760589954119496890326072641552701698696703<88>

Number: 61113_185
N=557562597765930815412243176953401553071377242201602332140988914411667452895150577949126139543829258917591831711208244743857512136813261667131663
  ( 144 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=262608222024256057080440484626863017447403009950774830321
 r2=2123172661800478654228807833089883467220558132760589954119496890326072641552701698696703
Version: 
Total time: 78.86 hours.
Scaled time: 414.00 units (timescale=5.250).
Factorization parameters were as follows:
n: 557562597765930815412243176953401553071377242201602332140988914411667452895150577949126139543829258917591831711208244743857512136813261667131663
m: 10000000000000000000000000000000000000
deg: 5
c5: 55
c0: 17
skew: 0.79
# Murphy_E = 5.97e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20449046
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1725332 x 1725580
Total sieving time: 73.00 hours.
Total relation processing time: 1.87 hours.
Matrix solve time: 3.87 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 78.86 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

342529853769204200620719452001447644803110153596386641720085341071243433758676929304902025585538097610104657379217785602876425813173168636797537<144>

42512636442159715395978096225114241<35>

8057130360174930899544255836185450937136116181030116115303640356632942483973272399602951335647357630822373857<109>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1307535553
Step 1 took 21545ms
Step 2 took 7677ms
********** Factor found in step 2: 42512636442159715395978096225114241
Found probable prime factor of 35 digits: 42512636442159715395978096225114241
Composite cofactor 8057130360174930899544255836185450937136116181030116115303640356632942483973272399602951335647357630822373857 has 109 digits

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

Core-i5. 3.4 GHz, OpenSUSE

8057130360174930899544255836185450937136116181030116115303640356632942483973272399602951335647357630822373857<109>

58667212913351574601575609128383595992844517974927<50>
137336170580915337338932138864159270943308496613859450696591<60>

N=8057130360174930899544255836185450937136116181030116115303640356632942483973272399602951335647357630822373857
  ( 109 digits)
Divisors found:
 r1=58667212913351574601575609128383595992844517974927 (pp50)
 r2=137336170580915337338932138864159270943308496613859450696591 (pp60)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 9.48 hours.
Scaled time: 9.58 units (timescale=1.010).
Factorization parameters were as follows:
n: 8057130360174930899544255836185450937136116181030116115303640356632942483973272399602951335647357630822373857
skew: 1588754.20
c0: 25975758558161667418448148837
c1: 69303989639536197176788
c2: -84425289258672467
c3: -3308309106
c4: 23184
Y0: -136536261649714176514456094
Y1: 19188261537401
rlim: 3060000
alim: 3060000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 160000
type: gnfs
Factor base limits: 3060000/3060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1530000, 2490001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 482075 x 482301
Total sieving time: 8.90 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
gnfs,108,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3060000,3060000,26,26,52,52,2.5,2.5,100000
total time: 9.48 hours.
 --------- CPU info (if available) ----------

714247778333079933279222556158572822211472887439016109192921115609413114179552087180686171728995172897887815296351035011028403188275513097471833123203758263642866209987896602473<177>

573395679707400699385348747479834393752793967409490749<54>
1245645552644475714914257635039358945570950278650907410937990090328439047225546137808020213496628143001027627071390746085277<124>

Number: n
N=714247778333079933279222556158572822211472887439016109192921115609413114179552087180686171728995172897887815296351035011028403188275513097471833123203758263642866209987896602473
  ( 177 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sun Feb 12 15:35:38 2012  prp54 factor: 573395679707400699385348747479834393752793967409490749
Sun Feb 12 15:35:38 2012  prp124 factor: 1245645552644475714914257635039358945570950278650907410937990090328439047225546137808020213496628143001027627071390746085277
Sun Feb 12 15:35:38 2012  elapsed time 03:26:45 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.657).
Factorization parameters were as follows:
name: KA_61113_187
n: 714247778333079933279222556158572822211472887439016109192921115609413114179552087180686171728995172897887815296351035011028403188275513097471833123203758263642866209987896602473
m: 10000000000000000000000000000000000000
#  c177, diff: 188.74
skew: 0.31
deg: 5
c5: 5500
c0: 17
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8200066 hash collisions in 77486896 relations (71662512 unique)
Msieve: matrix is 1338330 x 1338559 (375.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.12 BogoMIPS (lpj=2798061)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797563)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44761.89 BogoMIPS).

321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427<189>

743141132482156367337598193227260139629402238122971076355782741496332829<72>
432807999506483598225778604308585057267632076708114307439969977345662831173299530582744403436363128148721417709214863<117>

Number: 61113_189
N=321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=743141132482156367337598193227260139629402238122971076355782741496332829
 r2=432807999506483598225778604308585057267632076708114307439969977345662831173299530582744403436363128148721417709214863
Version: 
Total time: 424.41 hours.
Scaled time: 854.34 units (timescale=2.013).
Factorization parameters were as follows:
n: 321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427
m: 100000000000000000000000000000000000000
deg: 5
c5: 11
c0: 34
skew: 1.25
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5350000, 9650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1681268 x 1681516
Total sieving time: 424.41 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,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 424.41 hours.
 --------- CPU info (if available) ----------

73627844712182061579651941097724230254350736278447121820615796519410977242302543507362784471218206157965194109772423025435073627844712182061579651941097724230254350736278447121820615796519411<191>

1554680079421055663241309632741999791<37>
47358839729650484514213082265957188539646153312865411770034607331778178504222288115743334089402845551750039467061001611721179865193092780024997006733901821<155>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
73627844712182061579651941097724230254350736278447121820615796519410977242302543507362784471218206157965194109772423025435073627844712182061579651941097724230254350736278447121820615796519411
=
1554680079421055663241309632741999791* 47358839729650484514213082265957188539646153312865411770034607331778178504222288115743334089402845551750039467061001611721179865193092780024997006733901821

33787854276483560442085336393221876130796021891636512609086462515490869394140277080699950221758475858872117<107>

384765495832116367237778956105135383415129352909<48>
87814148208409307707864677216212472091320723207070971272713<59>

Number: n
N=33787854276483560442085336393221876130796021891636512609086462515490869394140277080699950221758475858872117
  ( 107 digits)
Divisors found:

Fri May 01 18:47:23 2009  prp48 factor: 384765495832116367237778956105135383415129352909
Fri May 01 18:47:23 2009  prp59 factor: 87814148208409307707864677216212472091320723207070971272713
Fri May 01 18:47:23 2009  elapsed time 00:46:39 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 13.43 hours.
Scaled time: 17.72 units (timescale=1.319).
Factorization parameters were as follows:
name: KA_6_1_192_3_Jeff_Gilchrist
# Murphy_E = 1.564195e-09, selected by Jeff Gilchrist
n: 33787854276483560442085336393221876130796021891636512609086462515490869394140277080699950221758475858872117
Y0: -394413411388729801681
Y1: 148581631799
c0: -25649377604197306364870640
c1: 10507065941092396630478
c2: -10142164446033363
c3: -19061095063357
c4: -22053853
c5: 3540
skew: 38283.63
type: gnfs
# selected mechanically
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [1150000, 2153159)
Primes: RFBsize:169511, AFBsize:170117, largePrimes:4322460 encountered
Relations: rels:4223392, finalFF:359082
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 401952 hash collisions in 4637187 relations
Msieve: matrix is 329174 x 329422 (90.2 MB)

Total sieving time: 13.26 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.5,2.5,150000
total time: 13.43 hours.
 --------- CPU info (if available) ----------

6358502703877088949626841158819784004088542053465045730726798079737261297054137892219431662398940826474844826091789085139778589180607501166942917773510672471769602254633420769329311<181>

51221066083662120607496508459320964845692176597011<50>
52577001617925667660698933076216096951717750013475439849245552611<65>
2361078527440933821736150772128327541852242748956039853097628884791<67>

Number: n
N=6358502703877088949626841158819784004088542053465045730726798079737261297054137892219431662398940826474844826091789085139778589180607501166942917773510672471769602254633420769329311  ( 181 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Mar  1 04:56:59 2021  found factor: 51221066083662120607496508459320964845692176597011
Mon Mar  1 04:59:16 2021  found factor: 51221066083662120607496508459320964845692176597011
Mon Mar  1 05:01:32 2021  p50 factor: 51221066083662120607496508459320964845692176597011
Mon Mar  1 05:01:32 2021  p65 factor: 52577001617925667660698933076216096951717750013475439849245552611
Mon Mar  1 05:01:32 2021  p67 factor: 2361078527440933821736150772128327541852242748956039853097628884791
Mon Mar  1 05:01:32 2021  elapsed time 01:21:58 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 55x10^195+17 = 61(194)3
#
n: 6358502703877088949626841158819784004088542053465045730726798079737261297054137892219431662398940826474844826091789085139778589180607501166942917773510672471769602254633420769329311
m: 1000000000000000000000000000000000000000
deg: 5
c5: 55
c0: 17
skew: 0.79
# Murphy_E = 2.314e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3267322 hash collisions in 26784800 relations (24995726 unique)
Msieve: matrix is 1766034 x 1766259 (619.8 MB)

Sieving start time : 2021/02/28 22:19:35
Sieving end time  : 2021/03/01 03:39:01

Total sieving time: 5hrs 19min 26secs.

Total relation processing time: 1hrs 5min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 49sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

241194329834792235012989732710787949320179334506098626588092963805458776747108358717054958195302960607218606503020057519278136635689988719144824046273267940967735607356267029<174>

76404158135984388385247202346655442800832104413331625532100747<62>
3156822033239522403765522350375721114038895845437002252250376865394186049449807148534993674815147549542576829407<112>

Number: n
N=241194329834792235012989732710787949320179334506098626588092963805458776747108358717054958195302960607218606503020057519278136635689988719144824046273267940967735607356267029  ( 174 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat Mar  6 16:26:30 2021  p62 factor: 76404158135984388385247202346655442800832104413331625532100747
Sat Mar  6 16:26:30 2021  p112 factor: 3156822033239522403765522350375721114038895845437002252250376865394186049449807148534993674815147549542576829407
Sat Mar  6 16:26:30 2021  elapsed time 01:04:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 55x10^196+17 = 61(195)3
#
n: 241194329834792235012989732710787949320179334506098626588092963805458776747108358717054958195302960607218606503020057519278136635689988719144824046273267940967735607356267029
m: 1000000000000000000000000000000000000000
deg: 5
c5: 550
c0: 17
skew: 0.50
# Murphy_E = 2.04e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3949227 hash collisions in 30195178 relations (27886994 unique)
Msieve: matrix is 1603880 x 1604105 (560.5 MB)

Sieving start time : 2021/03/06 09:25:46
Sieving end time  : 2021/03/06 15:21:18

Total sieving time: 5hrs 55min 32secs.

Total relation processing time: 0hrs 50min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 8sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.154161] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400)
[    0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)

2515383406286594894761549662173567738925541790533091969369436215886794837212691774203542679162514510158886854607006323284068576134072396372162638346322769406613464314043<169>

4213235470482687363272210358316373165525834879432090460694473313605523437176055467<82>
597019422225271725443186490171450291181441452589615617110090564463154744708476130516529<87>

Number: n
N=2515383406286594894761549662173567738925541790533091969369436215886794837212691774203542679162514510158886854607006323284068576134072396372162638346322769406613464314043  ( 169 digits)
SNFS difficulty: 198 digits.
Divisors found:

Wed Mar 24 06:23:06 2021  p82 factor: 4213235470482687363272210358316373165525834879432090460694473313605523437176055467
Wed Mar 24 06:23:06 2021  p87 factor: 597019422225271725443186490171450291181441452589615617110090564463154744708476130516529
Wed Mar 24 06:23:06 2021  elapsed time 01:36:58 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 55x10^197+17 = 61(196)3
#
n: 2515383406286594894761549662173567738925541790533091969369436215886794837212691774203542679162514510158886854607006323284068576134072396372162638346322769406613464314043
m: 1000000000000000000000000000000000000000
deg: 5
c5: 5500
c0: 17
skew: 0.31
# Murphy_E = 1.355e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4163609 hash collisions in 28192247 relations (25375271 unique)
Msieve: matrix is 2132707 x 2132932 (744.0 MB)

Sieving start time : 2021/03/23 19:55:25
Sieving end time  : 2021/03/24 04:45:26

Total sieving time: 8hrs 50min 1secs.

Total relation processing time: 1hrs 25min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 23sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

11236149299485819172193467158358845712816422607187364966823244656600967795679114846372943980099447926176442738978967<116>

746799927063051765367184540694213571283990251<45>
15045728972784379234711971257195171910039681620386470902747042503219717<71>

Number: 61113_198
N=11236149299485819172193467158358845712816422607187364966823244656600967795679114846372943980099447926176442738978967
  ( 116 digits)
Divisors found:
 r1=746799927063051765367184540694213571283990251 (pp45)
 r2=15045728972784379234711971257195171910039681620386470902747042503219717 (pp71)
Version: Msieve-1.40
Total time: 24.09 hours.
Scaled time: 61.77 units (timescale=2.564).
Factorization parameters were as follows:
name: 61113_198
# Murphy_E = 6.103973e-10, selected by Jeff Gilchrist
n: 11236149299485819172193467158358845712816422607187364966823244656600967795679114846372943980099447926176442738978967
Y0: -15107092040465287704648
Y1: 2323038215251
c0: -686769523076129772705030731
c1: 114042434326443914589151
c2: 9623962751739062717
c3: -19077419576851
c4: -3224939526
c5: 14280
skew: 51529.25
type: gnfs
# selected mechanically
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1950000, 2950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 510153 x 510401
Total sieving time: 24.09 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3900000,3900000,27,27,51,51,2.5,2.5,100000
total time: 24.09 hours.
 --------- CPU info (if available) ----------

1791724184900878326582352306606968086033777211959517288152525947796636786189303669848348229317960681422557856295643605237<121>

7969824024706850311637866653194343659977<40>
224813519012018880758200954355240402897525050961812494056620389047570537939602381<81>

Number: 61113_200
N=1791724184900878326582352306606968086033777211959517288152525947796636786189303669848348229317960681422557856295643605237
  ( 121 digits)
Divisors found:
 r1=7969824024706850311637866653194343659977 (pp40)
 r2=224813519012018880758200954355240402897525050961812494056620389047570537939602381 (pp81)
Version: Msieve-1.40
Total time: 50.53 hours.
Scaled time: 130.10 units (timescale=2.575).
Factorization parameters were as follows:
name: 61113_200
# Murphy_E = 2.721748e-10, selected by Jeff Gilchrist
n: 1791724184900878326582352306606968086033777211959517288152525947796636786189303669848348229317960681422557856295643605237
Y0: -176569456505448007089270
Y1: 7053922909259
c0: 692473754981649357842549234393
c1: 21424563729501290145330269
c2: 167347493654071875953
c3: -1379857106816429
c4: -4358776066
c5: 10440
skew: 217623.68
type: gnfs
# selected mechanically
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2650000, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 748338 x 748586
Total sieving time: 50.53 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,52,52,2.5,2.5,100000
total time: 50.53 hours.
 --------- CPU info (if available) ----------

477688711964801662112531752104651509275646894913575555781696051552401559095080014741439187574863050298401397106518873789843184039324594483100510244527<150>

27751523619000267652000577245231168815296443<44>
929503137826049744624150510614077083276228483173141<51>
18518563145653883296300934770177423641695903960629018729<56>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3273040819
Step 1 took 59430ms
********** Factor found in step 1: 27751523619000267652000577245231168815296443
Found probable prime factor of 44 digits: 27751523619000267652000577245231168815296443
Composite cofactor 17213062551915126797417215017626453421216571306025723832255729028200038734133400861361803583937527038757789 has 107 digits

N=17213062551915126797417215017626453421216571306025723832255729028200038734133400861361803583937527038757789
  ( 107 digits)
Divisors found:
 r1=929503137826049744624150510614077083276228483173141 (pp51)
 r2=18518563145653883296300934770177423641695903960629018729 (pp56)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 8.72 hours.
Scaled time: 16.02 units (timescale=1.836).
Factorization parameters were as follows:
n: 17213062551915126797417215017626453421216571306025723832255729028200038734133400861361803583937527038757789
skew: 7812441.53
c0: 1668165532049287469663056647090
c1: 396254315115146920404991
c2: -106027967419289599
c3: -14794312545
c4: 1188
Y0: -61696496551430990194438163
Y1: 3497491152079
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 120000
type: gnfs
Factor base limits: 2780000/2780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1390000, 2230001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 355214 x 355449
Total sieving time: 8.38 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,106,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2780000,2780000,26,26,52,52,2.5,2.5,150000
total time: 8.72 hours.
 --------- CPU info (if available) ----------

1404805801514659919279484988501375209115694809803805915493717288598646326826150273961257335364743433944534487253008281588759556970045679389688038498132050793893772463456272683<175>

44760212170913117642993963823919460036173<41>

31385146168443678058310121332097038287695078224422769815117927012135864915901162162220117655131693041477593336147367773048616683542871<134>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4269962917
Step 1 took 15482ms
Step 2 took 11333ms
********** Factor found in step 2: 44760212170913117642993963823919460036173
Found probable prime factor of 41 digits: 44760212170913117642993963823919460036173
Composite cofactor

31385146168443678058310121332097038287695078224422769815117927012135864915901162162220117655131693041477593336147367773048616683542871<134>

727984110888647786522154206075615335939712394520657237609961407<63>
43112405475624920385625498078316203240032477319390624628309162720846953<71>

Number: 61113_204
N = 31385146168443678058310121332097038287695078224422769815117927012135864915901162162220117655131693041477593336147367773048616683542871 (134 digits)
Divisors found:
r1=727984110888647786522154206075615335939712394520657237609961407 (pp63)
r2=43112405475624920385625498078316203240032477319390624628309162720846953 (pp71)
Version: Msieve v. 1.51 (SVN 845)
Total time: 153.24 hours.
Factorization parameters were as follows:
# Murphy_E = 4.83e-11, selected by Dmitry Domanov
n: 31385146168443678058310121332097038287695078224422769815117927012135864915901162162220117655131693041477593336147367773048616683542871
Y0: -42573590539986468766061735
Y1: 47700677043383
c0: 1342666966504974924657281687837952
c1: 17491737707824666135705421356
c2: 30097738279651567493205
c3: -172187388497742636
c4: -42250435652
c5: 224400
skew: 479978.41
type: gnfs
# selected mechanically
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20217021
Relations: 2806256 relations
Pruned matrix : 1684069 x 1684296
Polynomial selection time: 0.00 hours.
Total sieving time: 149.91 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.86 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12200000,12200000,28,28,54,54,2.6,2.6,100000
total time: 153.24 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

689877070481645334943685393173260644971041568427243775894175243704165467582682487095107328603543135356026350207403949692123224286364677058285962861964727525093233870599<168>

27066081504124951115736965511777095692825433060047<50>
25488620152736406369206405050696245117236110240479676926902820412535220255066249539752601991713570926971529973665273417<119>

Number: n
N=689877070481645334943685393173260644971041568427243775894175243704165467582682487095107328603543135356026350207403949692123224286364677058285962861964727525093233870599  ( 168 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Apr  3 23:37:31 2024  prp50 factor: 27066081504124951115736965511777095692825433060047
Wed Apr  3 23:37:31 2024  prp119 factor: 25488620152736406369206405050696245117236110240479676926902820412535220255066249539752601991713570926971529973665273417
Wed Apr  3 23:37:31 2024  elapsed time 03:17:16 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 55x10^205+17 = 61(204)3
#
n: 689877070481645334943685393173260644971041568427243775894175243704165467582682487095107328603543135356026350207403949692123224286364677058285962861964727525093233870599
m: 100000000000000000000000000000000000000000
deg: 5
c5: 55
c0: 17
skew: 0.79
# Murphy_E = 8.818e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3928969 hash collisions in 19621426 relations (15921263 unique)
Msieve: matrix is 2394104 x 2394329 (678.0 MB)

Sieving start time: 2024/04/03 04:24:51
Sieving end time  : 2024/04/03 20:19:51

Total sieving time: 15hrs 55min 0secs.

Total relation processing time: 2hrs 53min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 23sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1532734925404115293527186102269327513956002721505692902661964596222958787108040479116057940239236869105782391733661724738788675711613495869983416635614905762109185547130281064930943671683<187>

2754712127504283941177879655840935599209553691260967849<55>
556404754638642976783141777914629715391678851603927540419196627881748650071903931792976321227772946206945261299932192933826855144267<132>

Number: n
N=1532734925404115293527186102269327513956002721505692902661964596222958787108040479116057940239236869105782391733661724738788675711613495869983416635614905762109185547130281064930943671683  ( 187 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Nov 29 00:28:13 2021  p55 factor: 2754712127504283941177879655840935599209553691260967849
Mon Nov 29 00:28:13 2021  p132 factor: 556404754638642976783141777914629715391678851603927540419196627881748650071903931792976321227772946206945261299932192933826855144267
Mon Nov 29 00:28:13 2021  elapsed time 02:26:58 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 55x10^206+17 = 61(205)3
#
n: 1532734925404115293527186102269327513956002721505692902661964596222958787108040479116057940239236869105782391733661724738788675711613495869983416635614905762109185547130281064930943671683
m: 100000000000000000000000000000000000000000
deg: 5
c5: 550
c0: 17
skew: 0.50
# Murphy_E = 6.887e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 51600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11205737 hash collisions in 73337925 relations (63490284 unique)
Msieve: matrix is 2474045 x 2474272 (848.7 MB)

Sieving start time : 2021/11/28 03:19:26
Sieving end time  : 2021/11/28 21:59:46

Total sieving time: 18hrs 40min 20secs.

Total relation processing time: 1hrs 59min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 15sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved)
[    0.152615] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284)
[    0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

170276942470650126135015716660733905288964748983374559356534437026208892950749346207166976591963896779931280195130622094375734741925441900969200227690886873475902284802341608626339712802436953483<195>

691751471475190133243927877654924551<36>

246153350577667918939017922299741128009743848899002680045146664927643758076463575347276111937980021457632051175385639107227123594790264690005735720508927178333<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=23890350
Step 1 took 17523ms
Step 2 took 6799ms
********** Factor found in step 2: 691751471475190133243927877654924551
Found probable prime factor of 36 digits: 691751471475190133243927877654924551
Composite cofactor

246153350577667918939017922299741128009743848899002680045146664927643758076463575347276111937980021457632051175385639107227123594790264690005735720508927178333<159>

4714350669081736354339833266815763857<37>
52213627677725084257151440007187015163069687010150025607268070475709188256797393526593785456625391782075660933288949894669<122>

Run 267 out of 393:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3813196524
Step 1 took 50225ms
Step 2 took 16713ms
********** Factor found in step 2: 4714350669081736354339833266815763857
Found probable prime factor of 37 digits: 4714350669081736354339833266815763857
Probable prime cofactor 52213627677725084257151440007187015163069687010150025607268070475709188256797393526593785456625391782075660933288949894669 has 122 digits

GMP-ECM 6.4.4

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

10636927381784632874722769948181513232846968172154973501147392619920271620728666208906031758661886378576000702353693320866550136539969044610251112493154178289980840125558188234801847904765189<191>

267508718089419575108279157451637<33>

39762918598522271668835172182514489498347643624461369082692344832176444967753732937022672193565212344734648843175559290880669545854280664973175064987557417297<158>

Input number is 10636927381784632874722769948181513232846968172154973501147392619920271620728666208906031758661886378576000702353693320866550136539969044610251112493154178289980840125558188234801847904765189 (191 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=42359957
Step 1 took 16057ms
Step 2 took 5630ms
********** Factor found in step 2: 267508718089419575108279157451637
Found probable prime factor of 33 digits: 267508718089419575108279157451637
Composite cofactor 39762918598522271668835172182514489498347643624461369082692344832176444967753732937022672193565212344734648843175559290880669545854280664973175064987557417297 has 158 digits

GMP-ECM 6.4.4

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

39762918598522271668835172182514489498347643624461369082692344832176444967753732937022672193565212344734648843175559290880669545854280664973175064987557417297<158>

50961180376960304262850448020640789147<38>

780258979568283335019987274698014411632394722876492399184590462600561304242011240589710737229561469963354796566442296451<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1929152358
Step 1 took 12415ms
Step 2 took 5617ms
********** Factor found in step 2: 50961180376960304262850448020640789147
Found probable prime factor of 38 digits: 50961180376960304262850448020640789147
Composite cofactor

780258979568283335019987274698014411632394722876492399184590462600561304242011240589710737229561469963354796566442296451<120>

1530464392907546447086269261029066425216269157489<49>
509818446730382613848351530867209753996771760099458569073270950441681459<72>

Divisors found:
 r1=1530464392907546447086269261029066425216269157489 (pp49)
 r2=509818446730382613848351530867209753996771760099458569073270950441681459 (pp72)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 20.69 hours.
Scaled time: 49.67 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  780258979568283335019987274698014411632394722876492399184590462600561304242011240589710737229561469963354796566442296451
skew:  587835.23
Y0:  -304105023454050621735169
Y1:  743809115633
c0:  -5511497253885073660993541059200
c1:  45801439232663070205431218
c2:  8027871587056835563
c3:  -522473835162748
c4:  -127219418
c5:  300
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1650000, 3450001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 718019 x 718244
Total sieving time: 19.24 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.71 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3300000,3300000,27,27,53,53,2.5,2.5,100000
total time: 20.69 hours.

1270017596074338948465757370556625676406836529632308776179515903138546282075564631783552034345886896683338903828632494204151215464970905116912622732007171140832298579281782485426967718837<187>

716076401332186393652475957384127830757214830264422072064602154300315305108970990855492368120716500597279541759977762600509886603459476732683069525724754397506153426304685058969485798476069778966552371<201>

115909099714556671674873708941<30>
6177913581380845925184697171503055424142433369036307220728306295443981686242987233274734218447663364047878323922466732792182573550996465555510391663259928445063092129207231<172>

Run 43 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1877734103
Step 1 took 18855ms
Step 2 took 6089ms
********** Factor found in step 2: 115909099714556671674873708941
Found probable prime factor of 30 digits: 115909099714556671674873708941
Probable prime cofactor 6177913581380845925184697171503055424142433369036307220728306295443981686242987233274734218447663364047878323922466732792182573550996465555510391663259928445063092129207231 has 172 digits

GMP-ECM 6.4.4

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

4564077427517945731219333877908453549718758864436783924636339316888872483368639143088069368920751691823785356049968734302044351194201801700204188493013651643002297167711898165083828849861783406731451579<202>

1036179603328839962489307654033059230097861024380773431963899480432480719986707142482365081576482518796571552318285443138614279577353231201492343345705415481<157>

1860685937539706687879902670659497982265890316867063826441827956293920998116982945393348972593468784404645274201548626503635953093944431057646197527076350658195555739<166>

6880456784021128902979386118924799779595587179152190345498032114615261033105933650096575876248942059536446953428926331616866850067659386564186883016621327948963373317011736751303177623359<187>

39324553113713512201763872301285742531048591268368852722249139601<65>
174965924320236752160851006942562560654890776021265213437159944134708165994138696309031397333440198725384679409460271146959<123>

Number: 61113_222
N = 6880456784021128902979386118924799779595587179152190345498032114615261033105933650096575876248942059536446953428926331616866850067659386564186883016621327948963373317011736751303177623359 (187 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=39324553113713512201763872301285742531048591268368852722249139601 (pp65)
r2=174965924320236752160851006942562560654890776021265213437159944134708165994138696309031397333440198725384679409460271146959 (pp123)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 78.39 hours.
Factorization parameters were as follows:
n: 6880456784021128902979386118924799779595587179152190345498032114615261033105933650096575876248942059536446953428926331616866850067659386564186883016621327948963373317011736751303177623359
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5500
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34292321
Relations: 9636074 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 29.53 hours.
Total relation processing time: 0.47 hours.
Pruned matrix : 8209582 x 8209807
Matrix solve time: 48.12 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 78.39 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

78968085263708177604679734879729452468319798921410817967220778542045264793629831213614557350141187757534668066268294213261785376517676862307944232451030095598764020245119808225287045400475158147948574259936231117474503<218>

21320098512537307633705553249288057101<38>

3703926847114280793293094806506822200029099701176344451896796154007901863971303266745714360930496321372915662816949326413791056611042965703138024030254684937509365268983109152583203<181>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1094402787
Step 1 took 18402ms
Step 2 took 11867ms
********** Factor found in step 2: 21320098512537307633705553249288057101
Found probable prime factor of 38 digits: 21320098512537307633705553249288057101
Composite cofactor

504622282818558320619328325232132399898923027148039427399590555319854387460135117162708554396227960168260062435183796698317620269293689169303165686189382867018092322272428401428612269132159678489881943349<204>

167889618607452850067869996829<30>
7157550058431074586601113605891192408411<40>

419931242865072211444546438884696127364083589012057522108311921195208545290582143966822193944538863717025575927114903237287891672979771<135>

Input number is 504622282818558320619328325232132399898923027148039427399590555319854387460135117162708554396227960168260062435183796698317620269293689169303165686189382867018092322272428401428612269132159678489881943349 (204 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4194720104
Step 1 took 18788ms
Step 2 took 6311ms
********** Factor found in step 2: 167889618607452850067869996829
Found probable prime factor of 30 digits: 167889618607452850067869996829
Composite cofactor 3005678891905931380118054468456406161129868395985963131159000315371741501588261818908595588590919614030751466316367031464092433833592597949581489971363974037695769130373253881 has 175 digits
--
Run 228 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4146090509
Step 1 took 16195ms
Step 2 took 5536ms
********** Factor found in step 2: 7157550058431074586601113605891192408411
Found probable prime factor of 40 digits: 7157550058431074586601113605891192408411
Composite cofactor 419931242865072211444546438884696127364083589012057522108311921195208545290582143966822193944538863717025575927114903237287891672979771 has 135 digits

GMP-ECM 6.4.4

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

419931242865072211444546438884696127364083589012057522108311921195208545290582143966822193944538863717025575927114903237287891672979771<135>

2721169169277624848553183126625247666132580961<46>
154320153118796820495005557241172731617410671011503292497447100218192522033226027780477211<90>

Number: 61113_224
N = 419931242865072211444546438884696127364083589012057522108311921195208545290582143966822193944538863717025575927114903237287891672979771 (135 digits)
Divisors found:
r1=2721169169277624848553183126625247666132580961 (pp46)
r2=154320153118796820495005557241172731617410671011503292497447100218192522033226027780477211 (pp90)
Version: Msieve v. 1.51 (SVN 845)
Total time: 175.34 hours.
Factorization parameters were as follows:
# Murphy_E = 4.185e-11, selected by Erik Branger
# expecting poly E from 4.36e-011 to > 5.01e-011
n: 419931242865072211444546438884696127364083589012057522108311921195208545290582143966822193944538863717025575927114903237287891672979771
Y0: -150715056807085709366749600
Y1: 139703464597661
c0: -1012365853048739467531900535760729
c1: 17004578372688143253134735307
c2: -58347709793761560812938
c3: -16482209126427125
c4: 16360175445
c5: 5400
skew: 1313395.32
type: gnfs
# selected mechanically
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20706613
Relations: 3145028 relations
Pruned matrix : 1889219 x 1889447
Polynomial selection time: 0.00 hours.
Total sieving time: 171.34 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.11 hours.
time per square root: 0.71 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,13000000,13000000,28,28,54,54,2.6,2.6,100000
total time: 175.34 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

214121356654391037827410178760760220778384045436882439598475716915254217696065616237269680312540760096858871254697206164314683400138900269113529387716035816658394730401965949<174>

799873183742504824689612846835919832346580687570988745057147303191203140156687885120759036021925251123821823158219278688906049804467364446945866037239186805291960983640411920146478594666445610804977828969661537298086557913<222>

66185583236979437068974139058233<32>
12085308380203212049127073022298598881225101065430577566370155704476236848306605208807863346109438236904174093900928100431549032425339226317457423171165443497277555918272737290745656261612961<191>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3715519850
Step 1 took 21506ms
Step 2 took 14669ms
********** Factor found in step 2: 66185583236979437068974139058233
Found probable prime factor of 32 digits: 66185583236979437068974139058233
Probable prime cofactor

57709180676290700905606414917680994693562051832400225778188844383650523144002993452379461186647229085824577039752122327753401875957277255965458146370681538339617510144995227732858855453885893698468697207369245086943<215>

15573503354363544251860658819973797<35>

3705600426773668075376615334184758528812282086653540799796381789934836561220742938936879547649689524024998143820000706050210268063521895329343665350089609475938381341155390246778419<181>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=423366665
Step 1 took 20189ms
Step 2 took 7547ms
********** Factor found in step 2: 15573503354363544251860658819973797
Found probable prime factor of 35 digits: 15573503354363544251860658819973797
Composite cofactor

3705600426773668075376615334184758528812282086653540799796381789934836561220742938936879547649689524024998143820000706050210268063521895329343665350089609475938381341155390246778419<181>

42049318577572532509950315462293235779<38>

88125100527790500332174159816123966721628152358811243671670999054982559597718444635051028444197795182084821431930027430716349775762547308942161<143>

Run 150 out of 189:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=30894086
Step 1 took 232213ms
Step 2 took 57336ms
********** Factor found in step 2: 42049318577572532509950315462293235779
Found probable prime factor of 38 digits: 42049318577572532509950315462293235779
Composite cofactor 88125100527790500332174159816123966721628152358811243671670999054982559597718444635051028444197795182084821431930027430716349775762547308942161 has 143 digits

GMP-ECM 6.4.4

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

88125100527790500332174159816123966721628152358811243671670999054982559597718444635051028444197795182084821431930027430716349775762547308942161<143>

12138225710707497275010922171592334275084678616457<50>
7260130321192880331906929570742670009463771098599616890979819526042180190436052111388405294473<94>

Number: 61113_227
N = 88125100527790500332174159816123966721628152358811243671670999054982559597718444635051028444197795182084821431930027430716349775762547308942161 (143 digits)
Divisors found:
r1=12138225710707497275010922171592334275084678616457 (pp50)
r2=7260130321192880331906929570742670009463771098599616890979819526042180190436052111388405294473 (pp94)
Version: Msieve v. 1.51 (SVN 845)
Total time: 494.38 hours.
Factorization parameters were as follows:
# Murphy_E = 1.366e-11, selected by Erik Branger
# expecting poly E from 1.36e-011 to > 1.57e-011
n: 88125100527790500332174159816123966721628152358811243671670999054982559597718444635051028444197795182084821431930027430716349775762547308942161
Y0: -6506020896487103373822316336
Y1: 2085355352639467
c0: 331300704089715797782150584592198275
c1: 2128962821710553480700832956610
c2: -474750799096120897208704
c3: -396324593622644010
c4: 30450737309
c5: 7560
skew: 3869229.48
type: gnfs
# selected mechanically
rlim: 22000000
alim: 22000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23594257
Relations: 4460794 relations
Pruned matrix : 2770406 x 2770633
Polynomial selection time: 0.00 hours.
Total sieving time: 485.53 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 7.82 hours.
time per square root: 0.82 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,22000000,22000000,28,28,56,56,2.6,2.6,100000
total time: 494.38 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS; Msieve

476609218575458892166250325468018879661942652168411432498987224106606951246011442579927318012549878603074344857715390631772296774138540471239242925463124454811432219593700804379398197513688150660454185122783800291544093<219>

80269533646013029252510467068581<32>
5937610409913375286945675277019538069680262288418606444000280203090928506245937734410579491930279067652276668120428339404879864428735164947264260133961957891095579010183688348351136035353<187>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=983835430
Step 1 took 6656ms
Step 2 took 4378ms
********** Factor found in step 2: 80269533646013029252510467068581
Found probable prime factor of 32 digits: 80269533646013029252510467068581
Probable prime cofactor

5208874122492194313424142009263203568697247208417159709071549381245215913705619641569808346086250627141696488401512266360671185868618702889115186815124924409611903861928344086577110469254889790781955911460005818465819843389<223>

31103666149748339089149605461029917<35>
167468172318147759768447035726418572660312889019908889224549054608474831643000127750243085066273546641945542490312486218695202408126577401197671801215033034209776184990127422709226127104417<189>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=68192630
Step 1 took 67169ms
Step 2 took 30832ms
********** Factor found in step 2: 31103666149748339089149605461029917
Found probable prime factor of 35 digits: 31103666149748339089149605461029917
Probable prime cofactor 

54032812653502308674722467825916101778170743687985067295412122998329894881619019550054032812653502308674722467825916101778170743687985067295412122998329894881619019550054032812653502308674722467825916101778170743687985067295412123<230>

100609209413496266602630814620696796430498210370965228601481345586122340256344880137914195488470925441699990009529285598409370930866184539173006421593100649240482563299097070644696007195811094971167713770742221568121142289647<225>

21340425019486415472883543645046687<35>

4714489487516193595317265315382649866797912522719946239243134650958469049597433127953189615356218807087430130988987882639771942400897999876140967617954689817015052262110152911503628031484081<190>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4199050626
Step 1 took 18934ms
Step 2 took 6799ms
********** Factor found in step 2: 21340425019486415472883543645046687
Found probable prime factor of 35 digits: 21340425019486415472883543645046687
Composite cofactor 

92172715454284731599289130661262866383160135137943677844386435514624343341237891362709659149387969482130457524318736195987389080589306655383955008252172787914134069307923013164761163811223837029<194>

11197184734575400000738408237679661377937172334819785343598618670969723853358362581243789195690284477360600419698458580842804025135483133870955713813970132390570659532518092772075694208666539283320070032263839922921<215>

31361614536702832251319156732501192006441<41>

357034703091297011679006284921312142683065972057096183043553362553253287190319865264950676020255298580004059711852979254359092293906510378121128371611557507040179483523193281<174>

Run 31 out of 150:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=596449376
Step 1 took 314870ms
Step 2 took 71024ms
********** Factor found in step 2: 31361614536702832251319156732501192006441
Found probable prime factor of 41 digits: 31361614536702832251319156732501192006441
Composite cofactor 357034703091297011679006284921312142683065972057096183043553362553253287190319865264950676020255298580004059711852979254359092293906510378121128371611557507040179483523193281 has 174 digits

GMP-ECM 6.4.4

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

10149370536462617400979127580472764363356156467694572147183723939987796161467934196403733957287046309511207918786474537665160480239540998317026004191877133533417276639492319290889693649057795713502158749837970791921<215>

3192334501968276926605697606146865631217712622512125063244038937985208705426305334283384222101890539905282041443212837128718788840910050831496585314250541757267493316838843712298710662552449629118139760802857330483171583573<223>

19920632113948835348074822104731760420691<41>

160252670884521721895977394390309761064657633962546080418550413615683658143039049683090418552009053417392801482992243207466425243876956765064416365079162006915691596670921577526136503<183>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3311035802
Step 1 took 18123ms
Step 2 took 6528ms
********** Factor found in step 2: 19920632113948835348074822104731760420691
Found probable prime factor of 41 digits: 19920632113948835348074822104731760420691
Composite cofactor

104229635419694528692401228546669954253569995882907228435985927086775088872464151739171221371494840149961315793349166473305863928639513947952968810532488937348248209004962480412561195617894716056082790733887116957702786230726828257<231>

554722950818201300822329967141812955259578397661349479204810908123372735246804221001095914351073617234518994875623107947627653932973944431731724049516783006601152853558977677557689140541914316021<195>

2910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910052910053<241>

235750716674794758745849666006874959758357481<45>

12343771213502477485076586771656318609391340657381179051671972002679172856797089656577579222256166342313862853251371060638196481415744475951478051321692283444279127076067627879468795915059004038813<197>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=193819471
Step 1 took 301658ms
Step 2 took 153544ms
********** Factor found in step 2: 235750716674794758745849666006874959758357481
Found probable prime factor of 45 digits: 235750716674794758745849666006874959758357481
Composite cofactor