62177201274200327211413308247696347613374762465291108391619886307280847285625228124954901<89>

509413598709906626667570172159511<33>
122056422191446221014247383030211096456944262433194285491<57>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2686212401
Step 1 took 5805ms
Step 2 took 6368ms
********** Factor found in step 2: 509413598709906626667570172159511
Found probable prime factor of 33 digits: 509413598709906626667570172159511
Probable prime cofactor 122056422191446221014247383030211096456944262433194285491 has 57 digits

GMP-ECM 6.2.2

341652411540855550987982852437214566361269865885464620167649342547784989794149585043200330164519731911<102>

517866767205520783356060520331<30>
659730326748824292543983066756293862349872523611320087213527547002192181<72>

Number: 51113_112
N=341652411540855550987982852437214566361269865885464620167649342547784989794149585043200330164519731911
  ( 102 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=517866767205520783356060520331 (pp30)
 r2=659730326748824292543983066756293862349872523611320087213527547002192181 (pp72)
Version: Msieve-1.39
Total time: 0.66 hours.
Scaled time: 0.79 units (timescale=1.184).
Factorization parameters were as follows:
n: 341652411540855550987982852437214566361269865885464620167649342547784989794149585043200330164519731911
m: 20000000000000000000000
deg: 5
c5: 575
c0: 68
skew: 0.65
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 430001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65804 x 66045
Total sieving time: 0.66 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,114,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 0.66 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

131350975040553830349733335037245342075215762201405132631282575232890983280795267893437484333<93>

4412416030289271351015581005697119<34>
29768492848110394115729558818954963316995218350789392555507<59>

Number: 51113_113
N=131350975040553830349733335037245342075215762201405132631282575232890983280795267893437484333
  ( 93 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=4412416030289271351015581005697119 (pp34)
 r2=29768492848110394115729558818954963316995218350789392555507 (pp59)
Version: GGNFS-0.77.1-20060722-prescott
Total time: 1.28 hours.
Scaled time: 2.07 units (timescale=1.621).
Factorization parameters were as follows:
n: 131350975040553830349733335037245342075215762201405132631282575232890983280795267893437484333
m: 50000000000000000000000
deg: 5
c5: 368
c0: 425
skew: 1.03
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 500001)
Primes: RFBsize:49098, AFBsize:49246, largePrimes:1245641 encountered
Relations: rels:1220739, finalFF:145520
Max relations in full relation-set: 32
Initial matrix: 98411 x 145520 with sparse part having weight 6465754.
Pruned matrix : 79822 x 80378 with weight 2618257.
Total sieving time: 1.21 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 1.28 hours.
 --------- CPU info (if available) ----------
[    0.371537] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.13 BogoMIPS (lpj=8800276)
[    0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800811)
[    0.460049] Total of 2 processors activated (8800.54 BogoMIPS).

GGNFS via factLat.pl

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

2757843366487406847844985221556742627265478395894410570933529979555987217995527497496957379329364437010257978261<112>

3149446937547697015940394432710152051321<40>
875659574895009800158875966619714504676290535754462619860371208304102141<72>

Number: 51113_115
N=2757843366487406847844985221556742627265478395894410570933529979555987217995527497496957379329364437010257978261
  ( 112 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=3149446937547697015940394432710152051321 (pp40)
 r2=875659574895009800158875966619714504676290535754462619860371208304102141 (pp72)
Version: Msieve-1.39
Total time: 1.03 hours.
Scaled time: 2.61 units (timescale=2.544).
Factorization parameters were as follows:
n: 2757843366487406847844985221556742627265478395894410570933529979555987217995527497496957379329364437010257978261
m: 100000000000000000000000
deg: 5
c5: 46
c0: 17
skew: 0.82
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 510001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61649 x 61881
Total sieving time: 1.03 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,116,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 1.03 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

5050778501250192301528964311329771609977887153703816742322552335724886835633236616744409621852067574993621553<109>

30361717830758145620260372150707551<35>
166353515614767575628006317055974058159089119918491151110217499030179553903<75>

Number: 51113_116
N=5050778501250192301528964311329771609977887153703816742322552335724886835633236616744409621852067574993621553
  ( 109 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=30361717830758145620260372150707551 (pp35)
 r2=166353515614767575628006317055974058159089119918491151110217499030179553903 (pp75)
Version: Msieve-1.39
Total time: 1.26 hours.
Scaled time: 1.51 units (timescale=1.192).
Factorization parameters were as follows:
n: 5050778501250192301528964311329771609977887153703816742322552335724886835633236616744409621852067574993621553
m: 200000000000000000000000
deg: 5
c5: 115
c0: 136
skew: 1.03
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 630001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76182 x 76425
Total sieving time: 1.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 1.26 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

29813632050069347490532431275832226137066203213154862026980704247830053064634704339885126599399115599653<104>

2016015307475000907731963844200174382199696883<46>
14788395673150931151082918084560210578584532965509326765191<59>

Number: 51113_118
N=29813632050069347490532431275832226137066203213154862026980704247830053064634704339885126599399115599653
  ( 104 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=2016015307475000907731963844200174382199696883 (pp46)
 r2=14788395673150931151082918084560210578584532965509326765191 (pp59)
Version: Msieve-1.39
Total time: 1.54 hours.
Scaled time: 3.93 units (timescale=2.552).
Factorization parameters were as follows:
n: 29813632050069347490532431275832226137066203213154862026980704247830053064634704339885126599399115599653
m: 500000000000000000000000
deg: 5
c5: 368
c0: 425
skew: 1.03
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 665001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79366 x 79598
Total sieving time: 1.54 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.54 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

75091023772224931608850193272260239506670593186929340447367012240320458339626335158324329345270161515064431217<110>

34049764786873379485800962656346734204740599<44>
2205331644498568848091937648557874956117764055165157741281702138583<67>

Number: 51113_122
N=75091023772224931608850193272260239506670593186929340447367012240320458339626335158324329345270161515064431217
  ( 110 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=34049764786873379485800962656346734204740599 (pp44)
 r2=2205331644498568848091937648557874956117764055165157741281702138583 (pp67)
Version: Msieve-1.39
Total time: 1.60 hours.
Scaled time: 1.87 units (timescale=1.168).
Factorization parameters were as follows:
n: 75091023772224931608850193272260239506670593186929340447367012240320458339626335158324329345270161515064431217
m: 2000000000000000000000000
deg: 5
c5: 575
c0: 68
skew: 0.65
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 760001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 93359 x 93597
Total sieving time: 1.60 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,124,5,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,50000
total time: 1.60 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2635706422515447056256903802271865338169561795700607621402887842394171988138136389923500327521824479559<103>

60690029957183105131052218040318610567451<41>
43428985360115019825925624610794271374784635308137098147997509<62>

Number: 51113_124
N=2635706422515447056256903802271865338169561795700607621402887842394171988138136389923500327521824479559
  ( 103 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=60690029957183105131052218040318610567451 (pp41)
 r2=43428985360115019825925624610794271374784635308137098147997509 (pp62)
Version: Msieve-1.39
Total time: 1.50 hours.
Scaled time: 3.84 units (timescale=2.556).
Factorization parameters were as follows:
n: 2635706422515447056256903802271865338169561795700607621402887842394171988138136389923500327521824479559
m: 10000000000000000000000000
deg: 5
c5: 23
c0: 85
skew: 1.30
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 695001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 131110 x 131358
Total sieving time: 1.50 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 1.50 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

311574276510676870408699248115153667418766226787058099189185771886362891194019546059123<87>

25918694903313710763660728913817190897<38>
12021217799467288439523031407236435366656415114659<50>

Fri Mar 06 18:53:23 2009  
Fri Mar 06 18:53:23 2009  
Fri Mar 06 18:53:23 2009  Msieve v. 1.40
Fri Mar 06 18:53:23 2009  random seeds: 0010f447 0021e88e
Fri Mar 06 18:53:23 2009  factoring 311574276510676870408699248115153667418766226787058099189185771886362891194019546059123 (87 digits)
Fri Mar 06 18:53:24 2009  searching for 15-digit factors
Fri Mar 06 18:53:25 2009  commencing quadratic sieve (87-digit input)
Fri Mar 06 18:53:25 2009  using multiplier of 11
Fri Mar 06 18:53:25 2009  using 32kb Intel Core sieve core
Fri Mar 06 18:53:25 2009  sieve interval: 20 blocks of size 32768
Fri Mar 06 18:53:25 2009  processing polynomials in batches of 11
Fri Mar 06 18:53:25 2009  using a sieve bound of 1489637 (56445 primes)
Fri Mar 06 18:53:25 2009  using large prime bound of 119170960 (26 bits)
Fri Mar 06 18:53:25 2009  using double large prime bound of 344434582165760 (42-49 bits)
Fri Mar 06 18:53:25 2009  using trial factoring cutoff of 49 bits
Fri Mar 06 18:53:25 2009  polynomial 'A' values have 11 factors
Fri Mar 06 19:26:01 2009  56840 relations (16048 full + 40792 combined from 593695 partial), need 56541
Fri Mar 06 19:26:02 2009  begin with 609743 relations
Fri Mar 06 19:26:02 2009  reduce to 135618 relations in 10 passes
Fri Mar 06 19:26:02 2009  attempting to read 135618 relations
Fri Mar 06 19:26:03 2009  recovered 135618 relations
Fri Mar 06 19:26:03 2009  recovered 113425 polynomials
Fri Mar 06 19:26:03 2009  attempting to build 56840 cycles
Fri Mar 06 19:26:03 2009  found 56840 cycles in 4 passes
Fri Mar 06 19:26:03 2009  distribution of cycle lengths:
Fri Mar 06 19:26:03 2009     length 1 : 16048
Fri Mar 06 19:26:03 2009     length 2 : 11289
Fri Mar 06 19:26:03 2009     length 3 : 10080
Fri Mar 06 19:26:03 2009     length 4 : 7357
Fri Mar 06 19:26:03 2009     length 5 : 5026
Fri Mar 06 19:26:03 2009     length 6 : 3101
Fri Mar 06 19:26:03 2009     length 7 : 1809
Fri Mar 06 19:26:03 2009     length 9+: 2130
Fri Mar 06 19:26:03 2009  largest cycle: 18 relations
Fri Mar 06 19:26:04 2009  matrix is 56445 x 56840 (13.2 MB) with weight 3235525 (56.92/col)
Fri Mar 06 19:26:04 2009  sparse part has weight 3235525 (56.92/col)
Fri Mar 06 19:26:04 2009  filtering completed in 3 passes
Fri Mar 06 19:26:04 2009  matrix is 51747 x 51811 (12.1 MB) with weight 2966797 (57.26/col)
Fri Mar 06 19:26:04 2009  sparse part has weight 2966797 (57.26/col)
Fri Mar 06 19:26:04 2009  saving the first 48 matrix rows for later
Fri Mar 06 19:26:04 2009  matrix is 51699 x 51811 (8.0 MB) with weight 2357180 (45.50/col)
Fri Mar 06 19:26:04 2009  sparse part has weight 1788183 (34.51/col)
Fri Mar 06 19:26:04 2009  matrix includes 64 packed rows
Fri Mar 06 19:26:04 2009  using block size 20724 for processor cache size 4096 kB
Fri Mar 06 19:26:04 2009  commencing Lanczos iteration
Fri Mar 06 19:26:04 2009  memory use: 7.7 MB
Fri Mar 06 19:26:16 2009  lanczos halted after 819 iterations (dim = 51697)
Fri Mar 06 19:26:16 2009  recovered 16 nontrivial dependencies
Fri Mar 06 19:26:16 2009  prp38 factor: 25918694903313710763660728913817190897
Fri Mar 06 19:26:16 2009  prp50 factor: 12021217799467288439523031407236435366656415114659
Fri Mar 06 19:26:16 2009  elapsed time 00:32:30

Msieve

5577565017959340603130194616039714070499780268304544574590233529387927501354604569332715575645489<97>

2718013478775412943759161342874328001<37>
2052074083338351936368477625152429496333705580464085045253489<61>

Fri Mar  6 15:36:55 2009  Msieve v. 1.40
Fri Mar  6 15:36:55 2009  random seeds: 0ccba1c4 88d7ca1a
Fri Mar  6 15:36:55 2009  factoring 5577565017959340603130194616039714070499780268304544574590233529387927501354604569332715575645489 (97 digits)
Fri Mar  6 15:36:56 2009  no P-1/P+1/ECM available, skipping
Fri Mar  6 15:36:56 2009  commencing number field sieve (97-digit input)
Fri Mar  6 15:36:56 2009  R0: -20000000000000000000000000
Fri Mar  6 15:36:56 2009  R1:  1
Fri Mar  6 15:36:56 2009  A0:  136
Fri Mar  6 15:36:56 2009  A1:  0
Fri Mar  6 15:36:56 2009  A2:  0
Fri Mar  6 15:36:56 2009  A3:  0
Fri Mar  6 15:36:56 2009  A4:  0
Fri Mar  6 15:36:56 2009  A5:  115
Fri Mar  6 15:36:56 2009  skew 1.03, size 2.597754e-09, alpha 1.172882, combined = 7.517651e-09
Fri Mar  6 15:36:56 2009  
Fri Mar  6 15:36:56 2009  commencing relation filtering
Fri Mar  6 15:36:56 2009  commencing duplicate removal, pass 1
Fri Mar  6 15:37:31 2009  found 374913 hash collisions in 3892578 relations
Fri Mar  6 15:37:40 2009  added 31511 free relations
Fri Mar  6 15:37:40 2009  commencing duplicate removal, pass 2
Fri Mar  6 15:37:43 2009  found 377312 duplicates and 3546777 unique relations
Fri Mar  6 15:37:43 2009  memory use: 40.3 MB
Fri Mar  6 15:37:43 2009  reading rational ideals above 1114112
Fri Mar  6 15:37:43 2009  reading algebraic ideals above 1114112
Fri Mar  6 15:37:43 2009  commencing singleton removal, pass 1
Fri Mar  6 15:38:14 2009  relations with 0 large ideals: 60150
Fri Mar  6 15:38:14 2009  relations with 1 large ideals: 530121
Fri Mar  6 15:38:14 2009  relations with 2 large ideals: 1484931
Fri Mar  6 15:38:14 2009  relations with 3 large ideals: 1111827
Fri Mar  6 15:38:14 2009  relations with 4 large ideals: 202778
Fri Mar  6 15:38:14 2009  relations with 5 large ideals: 0
Fri Mar  6 15:38:14 2009  relations with 6 large ideals: 156970
Fri Mar  6 15:38:14 2009  relations with 7+ large ideals: 0
Fri Mar  6 15:38:14 2009  3546777 relations and about 3528629 large ideals
Fri Mar  6 15:38:14 2009  commencing singleton removal, pass 2
Fri Mar  6 15:38:47 2009  found 1578884 singletons
Fri Mar  6 15:38:47 2009  current dataset: 1967893 relations and about 1377042 large ideals
Fri Mar  6 15:38:47 2009  commencing singleton removal, pass 3
Fri Mar  6 15:39:04 2009  found 317709 singletons
Fri Mar  6 15:39:04 2009  current dataset: 1650184 relations and about 1044914 large ideals
Fri Mar  6 15:39:04 2009  commencing singleton removal, final pass
Fri Mar  6 15:39:20 2009  memory use: 26.4 MB
Fri Mar  6 15:39:20 2009  commencing in-memory singleton removal
Fri Mar  6 15:39:21 2009  begin with 1650184 relations and 1068111 unique ideals
Fri Mar  6 15:39:21 2009  reduce to 1549980 relations and 966655 ideals in 7 passes
Fri Mar  6 15:39:21 2009  max relations containing the same ideal: 23
Fri Mar  6 15:39:22 2009  reading rational ideals above 557056
Fri Mar  6 15:39:22 2009  reading algebraic ideals above 557056
Fri Mar  6 15:39:22 2009  commencing singleton removal, final pass
Fri Mar  6 15:39:43 2009  keeping 1178944 ideals with weight <= 20, new excess is 140370
Fri Mar  6 15:39:44 2009  memory use: 34.0 MB
Fri Mar  6 15:39:44 2009  commencing in-memory singleton removal
Fri Mar  6 15:39:44 2009  begin with 1580117 relations and 1178944 unique ideals
Fri Mar  6 15:39:44 2009  reduce to 1549968 relations and 999952 ideals in 2 passes
Fri Mar  6 15:39:44 2009  max relations containing the same ideal: 20
Fri Mar  6 15:39:45 2009  removing 534828 relations and 341235 ideals in 193593 cliques
Fri Mar  6 15:39:45 2009  commencing in-memory singleton removal
Fri Mar  6 15:39:45 2009  begin with 1015140 relations and 999952 unique ideals
Fri Mar  6 15:39:46 2009  reduce to 948043 relations and 582060 ideals in 6 passes
Fri Mar  6 15:39:46 2009  max relations containing the same ideal: 19
Fri Mar  6 15:39:46 2009  removing 426135 relations and 234333 ideals in 191802 cliques
Fri Mar  6 15:39:46 2009  commencing in-memory singleton removal
Fri Mar  6 15:39:47 2009  begin with 521908 relations and 582060 unique ideals
Fri Mar  6 15:39:47 2009  reduce to 470591 relations and 289788 ideals in 7 passes
Fri Mar  6 15:39:47 2009  max relations containing the same ideal: 14
Fri Mar  6 15:39:47 2009  removing 63694 relations and 45721 ideals in 17973 cliques
Fri Mar  6 15:39:47 2009  commencing in-memory singleton removal
Fri Mar  6 15:39:47 2009  begin with 406897 relations and 289788 unique ideals
Fri Mar  6 15:39:47 2009  reduce to 400558 relations and 237472 ideals in 6 passes
Fri Mar  6 15:39:47 2009  max relations containing the same ideal: 14
Fri Mar  6 15:39:48 2009  relations with 0 large ideals: 36310
Fri Mar  6 15:39:48 2009  relations with 1 large ideals: 112733
Fri Mar  6 15:39:48 2009  relations with 2 large ideals: 146048
Fri Mar  6 15:39:48 2009  relations with 3 large ideals: 81988
Fri Mar  6 15:39:48 2009  relations with 4 large ideals: 20059
Fri Mar  6 15:39:48 2009  relations with 5 large ideals: 2184
Fri Mar  6 15:39:48 2009  relations with 6 large ideals: 1234
Fri Mar  6 15:39:48 2009  relations with 7+ large ideals: 2
Fri Mar  6 15:39:48 2009  commencing 2-way merge
Fri Mar  6 15:39:48 2009  reduce to 310081 relation sets and 146995 unique ideals
Fri Mar  6 15:39:48 2009  commencing full merge
Fri Mar  6 15:39:49 2009  memory use: 10.3 MB
Fri Mar  6 15:39:49 2009  found 163405 cycles, need 142070
Fri Mar  6 15:39:49 2009  weight of 142070 cycles is about 7188564 (50.60/cycle)
Fri Mar  6 15:39:49 2009  distribution of cycle lengths:
Fri Mar  6 15:39:49 2009  1 relations: 36324
Fri Mar  6 15:39:49 2009  2 relations: 17964
Fri Mar  6 15:39:49 2009  3 relations: 14416
Fri Mar  6 15:39:49 2009  4 relations: 12395
Fri Mar  6 15:39:49 2009  5 relations: 11292
Fri Mar  6 15:39:49 2009  6 relations: 9710
Fri Mar  6 15:39:49 2009  7 relations: 8514
Fri Mar  6 15:39:49 2009  8 relations: 7597
Fri Mar  6 15:39:49 2009  9 relations: 6625
Fri Mar  6 15:39:49 2009  10+ relations: 17233
Fri Mar  6 15:39:49 2009  heaviest cycle: 16 relations
Fri Mar  6 15:39:49 2009  matrix can improve, retrying
Fri Mar  6 15:39:50 2009  reading rational ideals above 557056
Fri Mar  6 15:39:50 2009  reading algebraic ideals above 557056
Fri Mar  6 15:39:50 2009  commencing singleton removal, final pass
Fri Mar  6 15:40:11 2009  keeping 1188055 ideals with weight <= 25, new excess is 131259
Fri Mar  6 15:40:12 2009  memory use: 34.0 MB
Fri Mar  6 15:40:12 2009  commencing in-memory singleton removal
Fri Mar  6 15:40:12 2009  begin with 1580117 relations and 1188055 unique ideals
Fri Mar  6 15:40:12 2009  reduce to 1549968 relations and 1009063 ideals in 2 passes
Fri Mar  6 15:40:12 2009  max relations containing the same ideal: 25
Fri Mar  6 15:40:13 2009  removing 536286 relations and 341964 ideals in 194322 cliques
Fri Mar  6 15:40:13 2009  commencing in-memory singleton removal
Fri Mar  6 15:40:13 2009  begin with 1013682 relations and 1009063 unique ideals
Fri Mar  6 15:40:14 2009  reduce to 946319 relations and 590094 ideals in 6 passes
Fri Mar  6 15:40:14 2009  max relations containing the same ideal: 23
Fri Mar  6 15:40:15 2009  removing 425142 relations and 233773 ideals in 191369 cliques
Fri Mar  6 15:40:15 2009  commencing in-memory singleton removal
Fri Mar  6 15:40:15 2009  begin with 521177 relations and 590094 unique ideals
Fri Mar  6 15:40:15 2009  reduce to 469861 relations and 298399 ideals in 7 passes
Fri Mar  6 15:40:15 2009  max relations containing the same ideal: 17
Fri Mar  6 15:40:15 2009  removing 66868 relations and 47667 ideals in 19201 cliques
Fri Mar  6 15:40:15 2009  commencing in-memory singleton removal
Fri Mar  6 15:40:15 2009  begin with 402993 relations and 298399 unique ideals
Fri Mar  6 15:40:15 2009  reduce to 396019 relations and 243465 ideals in 6 passes
Fri Mar  6 15:40:15 2009  max relations containing the same ideal: 16
Fri Mar  6 15:40:16 2009  relations with 0 large ideals: 29445
Fri Mar  6 15:40:16 2009  relations with 1 large ideals: 99567
Fri Mar  6 15:40:16 2009  relations with 2 large ideals: 143008
Fri Mar  6 15:40:16 2009  relations with 3 large ideals: 90693
Fri Mar  6 15:40:16 2009  relations with 4 large ideals: 27334
Fri Mar  6 15:40:16 2009  relations with 5 large ideals: 4613
Fri Mar  6 15:40:16 2009  relations with 6 large ideals: 1354
Fri Mar  6 15:40:16 2009  relations with 7+ large ideals: 5
Fri Mar  6 15:40:16 2009  commencing 2-way merge
Fri Mar  6 15:40:16 2009  reduce to 306024 relation sets and 153470 unique ideals
Fri Mar  6 15:40:16 2009  commencing full merge
Fri Mar  6 15:40:18 2009  memory use: 10.4 MB
Fri Mar  6 15:40:18 2009  found 155708 cycles, need 135959
Fri Mar  6 15:40:18 2009  weight of 135959 cycles is about 7629747 (56.12/cycle)
Fri Mar  6 15:40:18 2009  distribution of cycle lengths:
Fri Mar  6 15:40:18 2009  1 relations: 29610
Fri Mar  6 15:40:18 2009  2 relations: 15266
Fri Mar  6 15:40:18 2009  3 relations: 13262
Fri Mar  6 15:40:18 2009  4 relations: 11881
Fri Mar  6 15:40:18 2009  5 relations: 10947
Fri Mar  6 15:40:18 2009  6 relations: 9907
Fri Mar  6 15:40:18 2009  7 relations: 8930
Fri Mar  6 15:40:18 2009  8 relations: 7882
Fri Mar  6 15:40:18 2009  9 relations: 6920
Fri Mar  6 15:40:18 2009  10+ relations: 21354
Fri Mar  6 15:40:18 2009  heaviest cycle: 16 relations
Fri Mar  6 15:40:18 2009  matrix can improve, retrying
Fri Mar  6 15:40:18 2009  reading rational ideals above 557056
Fri Mar  6 15:40:18 2009  reading algebraic ideals above 557056
Fri Mar  6 15:40:18 2009  commencing singleton removal, final pass
Fri Mar  6 15:40:38 2009  keeping 1192907 ideals with weight <= 30, new excess is 126407
Fri Mar  6 15:40:39 2009  memory use: 34.0 MB
Fri Mar  6 15:40:39 2009  commencing in-memory singleton removal
Fri Mar  6 15:40:39 2009  begin with 1580117 relations and 1192907 unique ideals
Fri Mar  6 15:40:40 2009  reduce to 1549968 relations and 1013915 ideals in 2 passes
Fri Mar  6 15:40:40 2009  max relations containing the same ideal: 30
Fri Mar  6 15:40:40 2009  removing 537062 relations and 342352 ideals in 194710 cliques
Fri Mar  6 15:40:41 2009  commencing in-memory singleton removal
Fri Mar  6 15:40:41 2009  begin with 1012906 relations and 1013915 unique ideals
Fri Mar  6 15:40:41 2009  reduce to 945360 relations and 594342 ideals in 6 passes
Fri Mar  6 15:40:41 2009  max relations containing the same ideal: 27
Fri Mar  6 15:40:42 2009  removing 424587 relations and 233454 ideals in 191133 cliques
Fri Mar  6 15:40:42 2009  commencing in-memory singleton removal
Fri Mar  6 15:40:42 2009  begin with 520773 relations and 594342 unique ideals
Fri Mar  6 15:40:42 2009  reduce to 469516 relations and 303031 ideals in 7 passes
Fri Mar  6 15:40:42 2009  max relations containing the same ideal: 18
Fri Mar  6 15:40:42 2009  removing 68492 relations and 48640 ideals in 19852 cliques
Fri Mar  6 15:40:42 2009  commencing in-memory singleton removal
Fri Mar  6 15:40:43 2009  begin with 401024 relations and 303031 unique ideals
Fri Mar  6 15:40:43 2009  reduce to 393653 relations and 246703 ideals in 6 passes
Fri Mar  6 15:40:43 2009  max relations containing the same ideal: 16
Fri Mar  6 15:40:43 2009  relations with 0 large ideals: 26105
Fri Mar  6 15:40:43 2009  relations with 1 large ideals: 91713
Fri Mar  6 15:40:43 2009  relations with 2 large ideals: 139422
Fri Mar  6 15:40:43 2009  relations with 3 large ideals: 95927
Fri Mar  6 15:40:43 2009  relations with 4 large ideals: 32101
Fri Mar  6 15:40:43 2009  relations with 5 large ideals: 6784
Fri Mar  6 15:40:43 2009  relations with 6 large ideals: 1585
Fri Mar  6 15:40:43 2009  relations with 7+ large ideals: 16
Fri Mar  6 15:40:43 2009  commencing 2-way merge
Fri Mar  6 15:40:43 2009  reduce to 303906 relation sets and 156956 unique ideals
Fri Mar  6 15:40:43 2009  commencing full merge
Fri Mar  6 15:40:45 2009  memory use: 10.6 MB
Fri Mar  6 15:40:45 2009  found 151966 cycles, need 133107
Fri Mar  6 15:40:45 2009  weight of 133107 cycles is about 7916211 (59.47/cycle)
Fri Mar  6 15:40:45 2009  distribution of cycle lengths:
Fri Mar  6 15:40:45 2009  1 relations: 26429
Fri Mar  6 15:40:45 2009  2 relations: 14052
Fri Mar  6 15:40:45 2009  3 relations: 12599
Fri Mar  6 15:40:45 2009  4 relations: 11271
Fri Mar  6 15:40:45 2009  5 relations: 10883
Fri Mar  6 15:40:45 2009  6 relations: 9895
Fri Mar  6 15:40:45 2009  7 relations: 8963
Fri Mar  6 15:40:45 2009  8 relations: 7951
Fri Mar  6 15:40:45 2009  9 relations: 7092
Fri Mar  6 15:40:45 2009  10+ relations: 23972
Fri Mar  6 15:40:45 2009  heaviest cycle: 16 relations
Fri Mar  6 15:40:45 2009  matrix can improve, retrying
Fri Mar  6 15:40:45 2009  reading rational ideals above 557056
Fri Mar  6 15:40:45 2009  reading algebraic ideals above 557056
Fri Mar  6 15:40:45 2009  commencing singleton removal, final pass
Fri Mar  6 15:41:06 2009  keeping 1197503 ideals with weight <= 35, new excess is 121811
Fri Mar  6 15:41:07 2009  memory use: 34.0 MB
Fri Mar  6 15:41:07 2009  commencing in-memory singleton removal
Fri Mar  6 15:41:07 2009  begin with 1580117 relations and 1197503 unique ideals
Fri Mar  6 15:41:08 2009  reduce to 1549968 relations and 1018511 ideals in 2 passes
Fri Mar  6 15:41:08 2009  max relations containing the same ideal: 35
Fri Mar  6 15:41:08 2009  removing 537798 relations and 342720 ideals in 195078 cliques
Fri Mar  6 15:41:09 2009  commencing in-memory singleton removal
Fri Mar  6 15:41:09 2009  begin with 1012170 relations and 1018511 unique ideals
Fri Mar  6 15:41:09 2009  reduce to 944493 relations and 598396 ideals in 6 passes
Fri Mar  6 15:41:09 2009  max relations containing the same ideal: 30
Fri Mar  6 15:41:10 2009  removing 424150 relations and 233182 ideals in 190968 cliques
Fri Mar  6 15:41:10 2009  commencing in-memory singleton removal
Fri Mar  6 15:41:10 2009  begin with 520343 relations and 598396 unique ideals
Fri Mar  6 15:41:10 2009  reduce to 469090 relations and 307347 ideals in 7 passes
Fri Mar  6 15:41:10 2009  max relations containing the same ideal: 20
Fri Mar  6 15:41:11 2009  removing 69957 relations and 49515 ideals in 20442 cliques
Fri Mar  6 15:41:11 2009  commencing in-memory singleton removal
Fri Mar  6 15:41:11 2009  begin with 399133 relations and 307347 unique ideals
Fri Mar  6 15:41:11 2009  reduce to 391449 relations and 249810 ideals in 6 passes
Fri Mar  6 15:41:11 2009  max relations containing the same ideal: 19
Fri Mar  6 15:41:11 2009  relations with 0 large ideals: 23355
Fri Mar  6 15:41:11 2009  relations with 1 large ideals: 84028
Fri Mar  6 15:41:11 2009  relations with 2 large ideals: 134661
Fri Mar  6 15:41:11 2009  relations with 3 large ideals: 100205
Fri Mar  6 15:41:11 2009  relations with 4 large ideals: 37834
Fri Mar  6 15:41:11 2009  relations with 5 large ideals: 9201
Fri Mar  6 15:41:11 2009  relations with 6 large ideals: 2124
Fri Mar  6 15:41:11 2009  relations with 7+ large ideals: 41
Fri Mar  6 15:41:11 2009  commencing 2-way merge
Fri Mar  6 15:41:11 2009  reduce to 301917 relation sets and 160278 unique ideals
Fri Mar  6 15:41:11 2009  commencing full merge
Fri Mar  6 15:41:13 2009  memory use: 10.7 MB
Fri Mar  6 15:41:13 2009  found 147593 cycles, need 130011
Fri Mar  6 15:41:13 2009  weight of 130011 cycles is about 8359711 (64.30/cycle)
Fri Mar  6 15:41:13 2009  distribution of cycle lengths:
Fri Mar  6 15:41:13 2009  1 relations: 23765
Fri Mar  6 15:41:13 2009  2 relations: 12632
Fri Mar  6 15:41:13 2009  3 relations: 11596
Fri Mar  6 15:41:13 2009  4 relations: 10671
Fri Mar  6 15:41:13 2009  5 relations: 10244
Fri Mar  6 15:41:13 2009  6 relations: 9368
Fri Mar  6 15:41:13 2009  7 relations: 8683
Fri Mar  6 15:41:13 2009  8 relations: 7701
Fri Mar  6 15:41:13 2009  9 relations: 7179
Fri Mar  6 15:41:13 2009  10+ relations: 28172
Fri Mar  6 15:41:13 2009  heaviest cycle: 18 relations
Fri Mar  6 15:41:13 2009  commencing cycle optimization
Fri Mar  6 15:41:14 2009  start with 765303 relations
Fri Mar  6 15:41:15 2009  pruned 66696 relations
Fri Mar  6 15:41:15 2009  memory use: 17.0 MB
Fri Mar  6 15:41:15 2009  distribution of cycle lengths:
Fri Mar  6 15:41:15 2009  1 relations: 23765
Fri Mar  6 15:41:15 2009  2 relations: 13466
Fri Mar  6 15:41:15 2009  3 relations: 12785
Fri Mar  6 15:41:15 2009  4 relations: 11950
Fri Mar  6 15:41:15 2009  5 relations: 11544
Fri Mar  6 15:41:15 2009  6 relations: 10687
Fri Mar  6 15:41:15 2009  7 relations: 9475
Fri Mar  6 15:41:15 2009  8 relations: 8477
Fri Mar  6 15:41:15 2009  9 relations: 7342
Fri Mar  6 15:41:15 2009  10+ relations: 20520
Fri Mar  6 15:41:15 2009  heaviest cycle: 17 relations
Fri Mar  6 15:41:16 2009  RelProcTime: 221
Fri Mar  6 15:41:16 2009  
Fri Mar  6 15:41:16 2009  commencing linear algebra
Fri Mar  6 15:41:16 2009  read 130011 cycles
Fri Mar  6 15:41:16 2009  cycles contain 333059 unique relations
Fri Mar  6 15:41:19 2009  read 333059 relations
Fri Mar  6 15:41:20 2009  using 20 quadratic characters above 66514674
Fri Mar  6 15:41:22 2009  building initial matrix
Fri Mar  6 15:41:30 2009  memory use: 36.3 MB
Fri Mar  6 15:41:30 2009  read 130011 cycles
Fri Mar  6 15:41:31 2009  matrix is 129812 x 130011 (31.6 MB) with weight 10123002 (77.86/col)
Fri Mar  6 15:41:31 2009  sparse part has weight 7368844 (56.68/col)
Fri Mar  6 15:41:33 2009  filtering completed in 2 passes
Fri Mar  6 15:41:33 2009  matrix is 129413 x 129612 (31.5 MB) with weight 10104954 (77.96/col)
Fri Mar  6 15:41:33 2009  sparse part has weight 7358402 (56.77/col)
Fri Mar  6 15:41:34 2009  read 129612 cycles
Fri Mar  6 15:41:34 2009  matrix is 129413 x 129612 (31.5 MB) with weight 10104954 (77.96/col)
Fri Mar  6 15:41:34 2009  sparse part has weight 7358402 (56.77/col)
Fri Mar  6 15:41:34 2009  saving the first 48 matrix rows for later
Fri Mar  6 15:41:34 2009  matrix is 129365 x 129612 (29.4 MB) with weight 7655401 (59.06/col)
Fri Mar  6 15:41:34 2009  sparse part has weight 6916344 (53.36/col)
Fri Mar  6 15:41:34 2009  matrix includes 64 packed rows
Fri Mar  6 15:41:34 2009  using block size 51844 for processor cache size 2048 kB
Fri Mar  6 15:41:35 2009  commencing Lanczos iteration
Fri Mar  6 15:41:35 2009  memory use: 29.3 MB
Fri Mar  6 15:43:37 2009  lanczos halted after 2047 iterations (dim = 129362)
Fri Mar  6 15:43:38 2009  recovered 36 nontrivial dependencies
Fri Mar  6 15:43:38 2009  BLanczosTime: 132
Fri Mar  6 15:43:38 2009  
Fri Mar  6 15:43:38 2009  commencing square root phase
Fri Mar  6 15:43:38 2009  reading relations for dependency 1
Fri Mar  6 15:43:38 2009  read 64856 cycles
Fri Mar  6 15:43:38 2009  cycles contain 211230 unique relations
Fri Mar  6 15:43:44 2009  read 211230 relations
Fri Mar  6 15:43:45 2009  multiplying 166240 relations
Fri Mar  6 15:43:54 2009  multiply complete, coefficients have about 4.36 million bits
Fri Mar  6 15:43:54 2009  initial square root is modulo 104231
Fri Mar  6 15:44:13 2009  sqrtTime: 27
Fri Mar  6 15:44:13 2009  prp37 factor: 2718013478775412943759161342874328001
Fri Mar  6 15:44:13 2009  prp61 factor: 2052074083338351936368477625152429496333705580464085045253489
Fri Mar  6 15:44:13 2009  elapsed time 00:07:18

GGNFS (sieving), msieve v1.40-beta2 (postprocessing)

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<128>

6599238864992473661867771888020943737578620316459510081053<58>
7745000924613357302214301740844777467164561254663784453622295281253021<70>

Number: 51113_127
N=51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
  ( 128 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=6599238864992473661867771888020943737578620316459510081053
 r2=7745000924613357302214301740844777467164561254663784453622295281253021
Version: 
Total time: 2.86 hours.
Scaled time: 2.84 units (timescale=0.995).
Factorization parameters were as follows:
n: 51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
m: 20000000000000000000000000
deg: 5
c5: 575
c0: 68
skew: 0.65
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132565 x 132813
Total sieving time: 2.86 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,50000
total time: 2.86 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

131297919127251267690339352393994188785077492024334806689386353399493233465038256753629303186449568944557<105>

86754520556469833455200256325953<32>
5542838338358103983727907338142633<34>
273044552898454950594350745066450950693<39>

Number: 51113_128
N=131297919127251267690339352393994188785077492024334806689386353399493233465038256753629303186449568944557
  ( 105 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=86754520556469833455200256325953 (pp32)
 r2=5542838338358103983727907338142633 (pp34)
 r3=273044552898454950594350745066450950693 (pp39)
Version: Msieve-1.39
Total time: 2.08 hours.
Scaled time: 2.43 units (timescale=1.170).
Factorization parameters were as follows:
n: 131297919127251267690339352393994188785077492024334806689386353399493233465038256753629303186449568944557
m: 50000000000000000000000000
deg: 5
c5: 368
c0: 425
skew: 1.03
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 935001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 161969 x 162217
Total sieving time: 2.08 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 2.08 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

187474108665317042616501734125735600581889023212579579612019036645896104785475882858181<87>

13747478299743188012769630624319808854561<41>
13636981603296597526680098271187326870062608421<47>

Fri Mar 06 18:22:58 2009  
Fri Mar 06 18:22:58 2009  
Fri Mar 06 18:22:58 2009  Msieve v. 1.40
Fri Mar 06 18:22:58 2009  random seeds: 0010f447 0021e88e
Fri Mar 06 18:22:58 2009  factoring 187474108665317042616501734125735600581889023212579579612019036645896104785475882858181 (87 digits)
Fri Mar 06 18:22:59 2009  searching for 15-digit factors
Fri Mar 06 18:23:00 2009  commencing quadratic sieve (87-digit input)
Fri Mar 06 18:23:00 2009  using multiplier of 5
Fri Mar 06 18:23:00 2009  using 32kb Intel Core sieve core
Fri Mar 06 18:23:00 2009  sieve interval: 19 blocks of size 32768
Fri Mar 06 18:23:00 2009  processing polynomials in batches of 11
Fri Mar 06 18:23:00 2009  using a sieve bound of 1478933 (56333 primes)
Fri Mar 06 18:23:00 2009  using large prime bound of 118314640 (26 bits)
Fri Mar 06 18:23:00 2009  using double large prime bound of 339992380628560 (41-49 bits)
Fri Mar 06 18:23:00 2009  using trial factoring cutoff of 49 bits
Fri Mar 06 18:23:00 2009  polynomial 'A' values have 11 factors
Fri Mar 06 18:48:15 2009  56602 relations (16793 full + 39809 combined from 580979 partial), need 56429
Fri Mar 06 18:48:15 2009  begin with 597772 relations
Fri Mar 06 18:48:15 2009  reduce to 131917 relations in 11 passes
Fri Mar 06 18:48:15 2009  attempting to read 131917 relations
Fri Mar 06 18:48:17 2009  recovered 131917 relations
Fri Mar 06 18:48:17 2009  recovered 104390 polynomials
Fri Mar 06 18:48:17 2009  attempting to build 56602 cycles
Fri Mar 06 18:48:17 2009  found 56602 cycles in 5 passes
Fri Mar 06 18:48:17 2009  distribution of cycle lengths:
Fri Mar 06 18:48:17 2009     length 1 : 16793
Fri Mar 06 18:48:17 2009     length 2 : 11564
Fri Mar 06 18:48:17 2009     length 3 : 10042
Fri Mar 06 18:48:17 2009     length 4 : 7084
Fri Mar 06 18:48:17 2009     length 5 : 4903
Fri Mar 06 18:48:17 2009     length 6 : 2853
Fri Mar 06 18:48:17 2009     length 7 : 1626
Fri Mar 06 18:48:17 2009     length 9+: 1737
Fri Mar 06 18:48:17 2009  largest cycle: 17 relations
Fri Mar 06 18:48:17 2009  matrix is 56333 x 56602 (12.7 MB) with weight 3113120 (55.00/col)
Fri Mar 06 18:48:17 2009  sparse part has weight 3113120 (55.00/col)
Fri Mar 06 18:48:18 2009  filtering completed in 3 passes
Fri Mar 06 18:48:18 2009  matrix is 50734 x 50797 (11.6 MB) with weight 2826636 (55.65/col)
Fri Mar 06 18:48:18 2009  sparse part has weight 2826636 (55.65/col)
Fri Mar 06 18:48:18 2009  saving the first 48 matrix rows for later
Fri Mar 06 18:48:18 2009  matrix is 50686 x 50797 (7.4 MB) with weight 2216417 (43.63/col)
Fri Mar 06 18:48:18 2009  sparse part has weight 1642296 (32.33/col)
Fri Mar 06 18:48:18 2009  matrix includes 64 packed rows
Fri Mar 06 18:48:18 2009  using block size 20318 for processor cache size 4096 kB
Fri Mar 06 18:48:18 2009  commencing Lanczos iteration
Fri Mar 06 18:48:18 2009  memory use: 7.3 MB
Fri Mar 06 18:48:28 2009  lanczos halted after 803 iterations (dim = 50680)
Fri Mar 06 18:48:29 2009  recovered 14 nontrivial dependencies
Fri Mar 06 18:48:29 2009  prp41 factor: 13747478299743188012769630624319808854561
Fri Mar 06 18:48:29 2009  prp47 factor: 13636981603296597526680098271187326870062608421
Fri Mar 06 18:48:29 2009  elapsed time 00:25:02

Msieve

458641541394042685813084629403334632456415679454516215582051842802618842043920225312037181506797546042216855028784511554005407<126>

2995443894178877333175966911<28>
153113046879406592655362075559329006950987502421523034157252675103445336866089598291005284520872737<99>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1492474375
Step 1 took 8777ms
Step 2 took 8525ms
********** Factor found in step 2: 2995443894178877333175966911
Found probable prime factor of 28 digits: 2995443894178877333175966911
Probable prime cofactor  has 99 digits

GMP-ECM 6.2.2

2518251121551633601419087702525546323870542114736815313608600828242439007408590192176793239962892307214821747<109>

3253898913398857863840646050922281096920564879<46>
773918056022581270276301143282161876126995043437065725389072093<63>

Number: 51113_142
N=2518251121551633601419087702525546323870542114736815313608600828242439007408590192176793239962892307214821747
  ( 109 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=3253898913398857863840646050922281096920564879 (pp46)
 r2=773918056022581270276301143282161876126995043437065725389072093 (pp63)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 15.98 hours.
Scaled time: 7.53 units (timescale=0.471).
Factorization parameters were as follows:
name: 51113_142
n: 2518251121551633601419087702525546323870542114736815313608600828242439007408590192176793239962892307214821747
m: 20000000000000000000000000000
deg: 5
c5: 575
c0: 68
skew: 0.65
type: snfs
lss: 1
rlim: 1780000
alim: 1780000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1780000/1780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [890000, 2090001)
Primes: RFBsize:133671, AFBsize:133292, largePrimes:3844978 encountered
Relations: rels:3887227, finalFF:322419
Max relations in full relation-set: 28
Initial matrix: 267030 x 322419 with sparse part having weight 29853912.
Pruned matrix : 247373 x 248772 with weight 20147298.
Total sieving time: 14.09 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.62 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1780000,1780000,26,26,49,49,2.3,2.3,100000
total time: 15.98 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

5848849575482404980903607610112559837740405564754665231895575593151694941823586596327909534403255257458667454847960312051623509291<130>

139623054636055338710939135384408668661<39>
41890285173377352541316306659022432235174853079005378363036811052955504759851453668960732831<92>

Number: 51113_143
N=5848849575482404980903607610112559837740405564754665231895575593151694941823586596327909534403255257458667454847960312051623509291
  ( 130 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=139623054636055338710939135384408668661 (pp39)
 r2=41890285173377352541316306659022432235174853079005378363036811052955504759851453668960732831 (pp92)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 19.94 hours.
Scaled time: 9.39 units (timescale=0.471).
Factorization parameters were as follows:
name: 51113_143
n: 5848849575482404980903607610112559837740405564754665231895575593151694941823586596327909534403255257458667454847960312051623509291
m: 50000000000000000000000000000
deg: 5
c5: 368
c0: 425
skew: 1.03
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 2450001)
Primes: RFBsize:142029, AFBsize:142512, largePrimes:4151889 encountered
Relations: rels:4321208, finalFF:386100
Max relations in full relation-set: 28
Initial matrix: 284608 x 386100 with sparse part having weight 39663465.
Pruned matrix : 250533 x 252020 with weight 23269867.
Total sieving time: 17.80 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 19.94 hours.
 --------- CPU info (if available) ----------

Pentium 4 3.06GHz, Windows XP and Cygwin)

5701419781155083271333386525485811005817385766910918648397290166476505121632518945836340115783145510877303515223800157<118>

137650711667873379471304368018035611255346407634131777<54>
41419471879750193306941692642248802022013014694168758886515974941<65>

Number: 51113_144
N=5701419781155083271333386525485811005817385766910918648397290166476505121632518945836340115783145510877303515223800157
  ( 118 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=137650711667873379471304368018035611255346407634131777 (pp54)
 r2=41419471879750193306941692642248802022013014694168758886515974941 (pp65)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 16.67 hours.
Scaled time: 7.84 units (timescale=0.470).
Factorization parameters were as follows:
name: 51113_144
n: 5701419781155083271333386525485811005817385766910918648397290166476505121632518945836340115783145510877303515223800157
m: 100000000000000000000000000000
deg: 5
c5: 23
c0: 85
skew: 1.30
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 2165001)
Primes: RFBsize:144125, AFBsize:143987, largePrimes:4038730 encountered
Relations: rels:4137598, finalFF:378490
Max relations in full relation-set: 28
Initial matrix: 288177 x 378490 with sparse part having weight 34073323.
Pruned matrix : 255568 x 257072 with weight 19711452.
Total sieving time: 14.69 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.70 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 16.67 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

51734907808882951637333473963353371587253719697383137652805531581141899550195669462548918187805945701871983590803<113>

151187449087050159689435421843968531441609<42>
342190493465467590083868747754619291085634754952297946010802975078867067<72>

Number: 51113_145
N=51734907808882951637333473963353371587253719697383137652805531581141899550195669462548918187805945701871983590803
  ( 113 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=151187449087050159689435421843968531441609 (pp42)
 r2=342190493465467590083868747754619291085634754952297946010802975078867067 (pp72)
Version: Msieve-1.40beta2
Total time: 8.92 hours.
Scaled time: 14.67 units (timescale=1.644).
Factorization parameters were as follows:
n: 51734907808882951637333473963353371587253719697383137652805531581141899550195669462548918187805945701871983590803
m: 100000000000000000000000000000
deg: 5
c5: 46
c0: 17
skew: 0.82
type: snfs
lss: 1
rlim: 1950000
alim: 1950000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

Factor base limits: 1950000/1950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [975000, 2175001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 332083 x 332331
Total sieving time: 8.92 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,146,5,0,0,0,0,0,0,0,0,1950000,1950000,26,26,49,49,2.3,2.3,100000
total time: 8.92 hours.
 --------- CPU info (if available) ----------
[    0.371537] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456480] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.13 BogoMIPS (lpj=8800276)
[    0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800811)
[    0.460049] Total of 2 processors activated (8800.54 BogoMIPS).

GGNFS (sieving), msieve v1.40beta2 (postprocessing), via factMsieve.pl

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

931954845842757379712167151150040856218413162686610932846537310731272241905042886757291832003286399733437061941542968128409598328469<132>

196402249692752872132715270377448801991427612454686894648603854373<66>
4745133252295663327826221303086537424769467238293624817207646507953<67>

Number: 51113_149
N=931954845842757379712167151150040856218413162686610932846537310731272241905042886757291832003286399733437061941542968128409598328469
  ( 132 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=196402249692752872132715270377448801991427612454686894648603854373 (pp66)
 r2=4745133252295663327826221303086537424769467238293624817207646507953 (pp67)
Version: Msieve-1.39
Total time: 13.09 hours.
Scaled time: 33.66 units (timescale=2.571).
Factorization parameters were as follows:
n: 931954845842757379712167151150040856218413162686610932846537310731272241905042886757291832003286399733437061941542968128409598328469
m: 1000000000000000000000000000000
deg: 5
c5: 23
c0: 85
skew: 1.30
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 357966 x 358214
Total sieving time: 13.09 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:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 13.09 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

572707485647797938116353541234240131287691440561653408719273477869397873381688181445930446824002231787050923633876171146638813654874437<135>

12927026782792133527436421144607<32>

44303109699607022872926009371300736105651392884345897886736800768893549967713945190056822343455756593691<104>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=643304458
Step 1 took 136340ms
Step 2 took 89838ms
********** Factor found in step 2: 12927026782792133527436421144607
Found probable prime factor of 32 digits: 12927026782792133527436421144607
Composite cofactor  has 104 digits

GMP-ECM 6.2.2

44303109699607022872926009371300736105651392884345897886736800768893549967713945190056822343455756593691<104>

215277725831553129790685239591654012757177<42>
205795139875606871141235190127379148672452160595173895881524083<63>

Sat Mar  7 17:47:25 2009  Msieve v. 1.40
Sat Mar  7 17:47:25 2009  random seeds: 5be9bc6a a4db309b
Sat Mar  7 17:47:25 2009  factoring 44303109699607022872926009371300736105651392884345897886736800768893549967713945190056822343455756593691 (104 digits)
Sat Mar  7 17:47:26 2009  no P-1/P+1/ECM available, skipping
Sat Mar  7 17:47:26 2009  commencing number field sieve (104-digit input)
Sat Mar  7 17:47:26 2009  R0: -205803718671706643940
Sat Mar  7 17:47:26 2009  R1:  45109791671
Sat Mar  7 17:47:26 2009  A0: -16910212684373235259751719
Sat Mar  7 17:47:26 2009  A1: -671274074771843691581
Sat Mar  7 17:47:26 2009  A2:  68600220111545809
Sat Mar  7 17:47:26 2009  A3:  630091046276
Sat Mar  7 17:47:26 2009  A4: -16543905
Sat Mar  7 17:47:26 2009  A5:  120
Sat Mar  7 17:47:26 2009  skew 49338.29, size 6.783315e-10, alpha -4.664099, combined = 2.157279e-09
Sat Mar  7 17:47:26 2009  
Sat Mar  7 17:47:26 2009  commencing relation filtering
Sat Mar  7 17:47:26 2009  commencing duplicate removal, pass 1
Sat Mar  7 17:48:04 2009  found 350324 hash collisions in 4485313 relations
Sat Mar  7 17:48:21 2009  added 608 free relations
Sat Mar  7 17:48:21 2009  commencing duplicate removal, pass 2
Sat Mar  7 17:48:25 2009  found 333640 duplicates and 4152281 unique relations
Sat Mar  7 17:48:25 2009  memory use: 40.3 MB
Sat Mar  7 17:48:25 2009  reading rational ideals above 1638400
Sat Mar  7 17:48:25 2009  reading algebraic ideals above 1638400
Sat Mar  7 17:48:25 2009  commencing singleton removal, pass 1
Sat Mar  7 17:49:00 2009  relations with 0 large ideals: 46830
Sat Mar  7 17:49:00 2009  relations with 1 large ideals: 383631
Sat Mar  7 17:49:00 2009  relations with 2 large ideals: 1185742
Sat Mar  7 17:49:00 2009  relations with 3 large ideals: 1588216
Sat Mar  7 17:49:00 2009  relations with 4 large ideals: 815270
Sat Mar  7 17:49:00 2009  relations with 5 large ideals: 98913
Sat Mar  7 17:49:00 2009  relations with 6 large ideals: 33676
Sat Mar  7 17:49:00 2009  relations with 7+ large ideals: 3
Sat Mar  7 17:49:00 2009  4152281 relations and about 4324405 large ideals
Sat Mar  7 17:49:00 2009  commencing singleton removal, pass 2
Sat Mar  7 17:49:38 2009  found 1958944 singletons
Sat Mar  7 17:49:38 2009  current dataset: 2193337 relations and about 1929600 large ideals
Sat Mar  7 17:49:38 2009  commencing singleton removal, pass 3
Sat Mar  7 17:49:58 2009  found 473190 singletons
Sat Mar  7 17:49:58 2009  current dataset: 1720147 relations and about 1414479 large ideals
Sat Mar  7 17:49:58 2009  commencing singleton removal, final pass
Sat Mar  7 17:50:17 2009  memory use: 33.3 MB
Sat Mar  7 17:50:17 2009  commencing in-memory singleton removal
Sat Mar  7 17:50:17 2009  begin with 1720147 relations and 1452587 unique ideals
Sat Mar  7 17:50:19 2009  reduce to 1355162 relations and 1074705 ideals in 15 passes
Sat Mar  7 17:50:19 2009  max relations containing the same ideal: 53
Sat Mar  7 17:50:20 2009  reading rational ideals above 720000
Sat Mar  7 17:50:20 2009  reading algebraic ideals above 720000
Sat Mar  7 17:50:20 2009  commencing singleton removal, final pass
Sat Mar  7 17:50:36 2009  keeping 1159198 ideals with weight <= 20, new excess is 167390
Sat Mar  7 17:50:37 2009  memory use: 33.9 MB
Sat Mar  7 17:50:37 2009  commencing in-memory singleton removal
Sat Mar  7 17:50:37 2009  begin with 1355770 relations and 1159198 unique ideals
Sat Mar  7 17:50:38 2009  reduce to 1352754 relations and 1153168 ideals in 10 passes
Sat Mar  7 17:50:38 2009  max relations containing the same ideal: 20
Sat Mar  7 17:50:39 2009  relations with 0 large ideals: 20819
Sat Mar  7 17:50:39 2009  relations with 1 large ideals: 135377
Sat Mar  7 17:50:39 2009  relations with 2 large ideals: 361336
Sat Mar  7 17:50:39 2009  relations with 3 large ideals: 468155
Sat Mar  7 17:50:39 2009  relations with 4 large ideals: 285605
Sat Mar  7 17:50:39 2009  relations with 5 large ideals: 71003
Sat Mar  7 17:50:39 2009  relations with 6 large ideals: 10069
Sat Mar  7 17:50:39 2009  relations with 7+ large ideals: 390
Sat Mar  7 17:50:39 2009  commencing 2-way merge
Sat Mar  7 17:50:40 2009  reduce to 747235 relation sets and 547805 unique ideals
Sat Mar  7 17:50:40 2009  ignored 156 oversize relation sets
Sat Mar  7 17:50:40 2009  commencing full merge
Sat Mar  7 17:50:48 2009  memory use: 34.0 MB
Sat Mar  7 17:50:48 2009  found 311219 cycles, need 292005
Sat Mar  7 17:50:48 2009  weight of 292005 cycles is about 20642731 (70.69/cycle)
Sat Mar  7 17:50:48 2009  distribution of cycle lengths:
Sat Mar  7 17:50:48 2009  1 relations: 35474
Sat Mar  7 17:50:48 2009  2 relations: 29215
Sat Mar  7 17:50:48 2009  3 relations: 29093
Sat Mar  7 17:50:48 2009  4 relations: 26887
Sat Mar  7 17:50:48 2009  5 relations: 24684
Sat Mar  7 17:50:48 2009  6 relations: 21474
Sat Mar  7 17:50:48 2009  7 relations: 19536
Sat Mar  7 17:50:48 2009  8 relations: 16873
Sat Mar  7 17:50:48 2009  9 relations: 14629
Sat Mar  7 17:50:48 2009  10+ relations: 74140
Sat Mar  7 17:50:48 2009  heaviest cycle: 21 relations
Sat Mar  7 17:50:48 2009  commencing cycle optimization
Sat Mar  7 17:50:49 2009  start with 1939747 relations
Sat Mar  7 17:50:53 2009  pruned 57961 relations
Sat Mar  7 17:50:53 2009  memory use: 50.5 MB
Sat Mar  7 17:50:53 2009  distribution of cycle lengths:
Sat Mar  7 17:50:53 2009  1 relations: 35474
Sat Mar  7 17:50:53 2009  2 relations: 30041
Sat Mar  7 17:50:53 2009  3 relations: 30255
Sat Mar  7 17:50:53 2009  4 relations: 27709
Sat Mar  7 17:50:53 2009  5 relations: 25469
Sat Mar  7 17:50:53 2009  6 relations: 22072
Sat Mar  7 17:50:53 2009  7 relations: 19928
Sat Mar  7 17:50:53 2009  8 relations: 16959
Sat Mar  7 17:50:53 2009  9 relations: 14701
Sat Mar  7 17:50:53 2009  10+ relations: 69397
Sat Mar  7 17:50:53 2009  heaviest cycle: 21 relations
Sat Mar  7 17:50:53 2009  RelProcTime: 191
Sat Mar  7 17:50:53 2009  
Sat Mar  7 17:50:53 2009  commencing linear algebra
Sat Mar  7 17:50:54 2009  read 292005 cycles
Sat Mar  7 17:50:54 2009  cycles contain 1060412 unique relations
Sat Mar  7 17:51:04 2009  read 1060412 relations
Sat Mar  7 17:51:05 2009  using 20 quadratic characters above 67107098
Sat Mar  7 17:51:12 2009  building initial matrix
Sat Mar  7 17:51:34 2009  memory use: 114.4 MB
Sat Mar  7 17:51:34 2009  read 292005 cycles
Sat Mar  7 17:51:36 2009  matrix is 291468 x 292005 (82.3 MB) with weight 27886129 (95.50/col)
Sat Mar  7 17:51:36 2009  sparse part has weight 19524201 (66.86/col)
Sat Mar  7 17:51:43 2009  filtering completed in 3 passes
Sat Mar  7 17:51:43 2009  matrix is 287466 x 287666 (81.2 MB) with weight 27492798 (95.57/col)
Sat Mar  7 17:51:43 2009  sparse part has weight 19277016 (67.01/col)
Sat Mar  7 17:51:47 2009  read 287666 cycles
Sat Mar  7 17:51:47 2009  matrix is 287466 x 287666 (81.2 MB) with weight 27492798 (95.57/col)
Sat Mar  7 17:51:47 2009  sparse part has weight 19277016 (67.01/col)
Sat Mar  7 17:51:47 2009  saving the first 48 matrix rows for later
Sat Mar  7 17:51:47 2009  matrix is 287418 x 287666 (78.4 MB) with weight 21745986 (75.59/col)
Sat Mar  7 17:51:47 2009  sparse part has weight 18816033 (65.41/col)
Sat Mar  7 17:51:47 2009  matrix includes 64 packed rows
Sat Mar  7 17:51:47 2009  using block size 65536 for processor cache size 2048 kB
Sat Mar  7 17:51:49 2009  commencing Lanczos iteration
Sat Mar  7 17:51:49 2009  memory use: 76.1 MB
Sat Mar  7 18:04:53 2009  lanczos halted after 4547 iterations (dim = 287417)
Sat Mar  7 18:04:54 2009  recovered 33 nontrivial dependencies
Sat Mar  7 18:04:54 2009  BLanczosTime: 819
Sat Mar  7 18:04:54 2009  
Sat Mar  7 18:04:54 2009  commencing square root phase
Sat Mar  7 18:04:54 2009  reading relations for dependency 1
Sat Mar  7 18:04:54 2009  read 144047 cycles
Sat Mar  7 18:04:55 2009  cycles contain 647455 unique relations
Sat Mar  7 18:05:01 2009  read 647455 relations
Sat Mar  7 18:05:04 2009  multiplying 527798 relations
Sat Mar  7 18:05:53 2009  multiply complete, coefficients have about 18.48 million bits
Sat Mar  7 18:05:54 2009  initial square root is modulo 204107
Sat Mar  7 18:07:25 2009  sqrtTime: 137
Sat Mar  7 18:07:25 2009  prp42 factor: 215277725831553129790685239591654012757177
Sat Mar  7 18:07:25 2009  prp63 factor: 205795139875606871141235190127379148672452160595173895881524083
Sat Mar  7 18:07:25 2009  elapsed time 00:20:00

GGNFS (sieving), msieve v1.40beta2 (postprocessing)

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit + Core 2 Quad Q6600 (2.8Ghz), Windows Vista 32-bit

281728483297528288628543635323252275165617448625794641793103989907614506221161628367059228669427524783995179771689025780827272937745212100439<141>

8172175016707545457583974190335930691504416901869276777808732983<64>
34474112793907433702099859827871212701283307072048202180063531357502611064033<77>

Number: 51113_151
N=281728483297528288628543635323252275165617448625794641793103989907614506221161628367059228669427524783995179771689025780827272937745212100439
  ( 141 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=8172175016707545457583974190335930691504416901869276777808732983 (pp64)
 r2=34474112793907433702099859827871212701283307072048202180063531357502611064033 (pp77)
Version: Msieve-1.39
Total time: 18.05 hours.
Scaled time: 46.41 units (timescale=2.571).
Factorization parameters were as follows:
n: 281728483297528288628543635323252275165617448625794641793103989907614506221161628367059228669427524783995179771689025780827272937745212100439
m: 2000000000000000000000000000000
deg: 5
c5: 115
c0: 136
skew: 1.03
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 484060 x 484308
Total sieving time: 18.05 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,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 18.05 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

865697676202081916341498386800609669470416786194109405329118213708875996392148475883723477869652766591928727938376929397819002677508814919539140949<147>

1168853512068217384515790254569897<34>

740638298352956917629241927420886535153044207773338129179800117727688945646884036097074009882338060886955895879117<114>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3675542085
Step 1 took 10717ms
Step 2 took 10124ms
********** Factor found in step 2: 1168853512068217384515790254569897
Found probable prime factor of 34 digits: 1168853512068217384515790254569897
Composite cofactor  has 114 digits

6.2.2

740638298352956917629241927420886535153044207773338129179800117727688945646884036097074009882338060886955895879117<114>

196490224292758436049630492490170845480502019<45>
3769339166967671013328223086443654127269835499673885309638515657941743<70>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 740638298352956917629241927420886535153044207773338129179800117727688945646884036097074009882338060886955895879117 (114 digits)
Using B1=3000000, B2=4016636513, polynomial Dickson(6), sigma=1271141060
Step 1 took 31279ms
Step 2 took 14671ms
********** Factor found in step 2: 196490224292758436049630492490170845480502019
Found probable prime factor of 45 digits: 196490224292758436049630492490170845480502019
Probable prime cofactor 3769339166967671013328223086443654127269835499673885309638515657941743 has 70 digits

2333036685380856739826065847758746702938037939625502537307957298158902603241338377544987477719833473532798856159<112>

69421810469250964905352073912281382114825982371<47>
33606681669793526544589443702103712368855493759521473358763489429<65>

Number: 51113_160
N=2333036685380856739826065847758746702938037939625502537307957298158902603241338377544987477719833473532798856159
  ( 112 digits)
Divisors found:
 r1=69421810469250964905352073912281382114825982371 (pp47)
 r2=33606681669793526544589443702103712368855493759521473358763489429 (pp65)
Version: Msieve-1.40beta2
Total time: 22.62 hours.
Scaled time: 36.91 units (timescale=1.632).
Factorization parameters were as follows:
n: 2333036685380856739826065847758746702938037939625502537307957298158902603241338377544987477719833473532798856159
Y0: -3076877135434206027874
Y1:  294082766161
c0: -51400975692427172720771409
c1:  63166927505729826659688
c2: -278627879419892472
c3: -51454969560080
c4:  88080333
c5:  8460
skew: 49144.96
type: gnfs
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 385651 x 385899
Total sieving time: 22.62 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,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 22.62 hours.
 --------- CPU info (if available) ----------
[    0.367147] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.452481] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.13 BogoMIPS (lpj=8800276)
[    0.004000] Calibrating delay using timer specific routine.. 4400.40 BogoMIPS (lpj=8800811)
[    0.456049] Total of 2 processors activated (8800.54 BogoMIPS).

GGNFS (sieving) + msieve 1.40beta2 (postprocessing) w/factMsieve.pl

Core 2 Duo E4500 (2.2Ghz), Ubuntu 8.10 32-bit

45832614003609986015505277560643422175904489813533037778187090635645628988225589864451526185487048322758261220754908397166921<125>

2901428838271710072989478722772703305541<40>
15796566642975477222426106514151356215220954988925611533724771019602789181077878704181<86>

Number: 51113_163
N=45832614003609986015505277560643422175904489813533037778187090635645628988225589864451526185487048322758261220754908397166921
  ( 125 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=2901428838271710072989478722772703305541 (pp40)
 r2=15796566642975477222426106514151356215220954988925611533724771019602789181077878704181 (pp86)
Version: Msieve-1.39
Total time: 42.88 hours.
Scaled time: 110.25 units (timescale=2.571).
Factorization parameters were as follows:
n: 45832614003609986015505277560643422175904489813533037778187090635645628988225589864451526185487048322758261220754908397166921
m: 500000000000000000000000000000000
deg: 5
c5: 368
c0: 425
skew: 1.03
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 762163 x 762411
Total sieving time: 42.88 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,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 42.88 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

59623330778132327923866078409993846933798124893348604036533381388770126581603759352316741<89>

63196433917841945793059806729903<32>
943460367647408648898474271030755521492481831856147907147<57>

03/06/09 19:22:06 v1.06 @ IGNACIO1, starting SIQS on c89: 59623330778132327923866078409993846933798124893348604036533381388770126581603759352316741
03/06/09 19:22:06 v1.06 @ IGNACIO1, ==== sieve params ====
03/06/09 19:22:06 v1.06 @ IGNACIO1, n = 89 digits, 298 bits
03/06/09 19:22:06 v1.06 @ IGNACIO1, factor base: 63461 primes (max prime = 1684867)
03/06/09 19:22:06 v1.06 @ IGNACIO1, single large prime cutoff: 185335370 (110 * pmax)
03/06/09 19:22:06 v1.06 @ IGNACIO1, double large prime range from 43 to 50 bits
03/06/09 19:22:06 v1.06 @ IGNACIO1, double large prime cutoff: 762649442103813
03/06/09 19:22:06 v1.06 @ IGNACIO1, using 10 large prime slices of factor base
03/06/09 19:22:06 v1.06 @ IGNACIO1, buckets hold 1024 elements
03/06/09 19:22:06 v1.06 @ IGNACIO1, sieve interval: 18 blocks of size 32768
03/06/09 19:22:06 v1.06 @ IGNACIO1, polynomial A has ~ 12 factors
03/06/09 19:22:06 v1.06 @ IGNACIO1, using multiplier of 5
03/06/09 19:22:06 v1.06 @ IGNACIO1, using small prime variation correction of 22 bits
03/06/09 19:22:06 v1.06 @ IGNACIO1, trial factoring cutoff at 99 bits
03/06/09 19:22:06 v1.06 @ IGNACIO1, ==== sieving started ====
03/06/09 20:10:54 v1.06 @ IGNACIO1, sieve time = 964.0200, relation time = 483.0980, poly_time = 1477.0580
03/06/09 20:10:54 v1.06 @ IGNACIO1, 63569 relations found: 22378 full + 41191 from 525403 partial, using 390919 polys (217 A polys)
03/06/09 20:10:54 v1.06 @ IGNACIO1, trial division touched 13057043 sieve locations out of 461146816512
03/06/09 20:10:54 v1.06 @ IGNACIO1, ==== post processing stage (msieve-1.38) ====
03/06/09 20:10:55 v1.06 @ IGNACIO1, begin with 547781 relations
03/06/09 20:10:55 v1.06 @ IGNACIO1, reduce to 123657 relations in 8 passes
03/06/09 20:10:57 v1.06 @ IGNACIO1, recovered 123657 relations
03/06/09 20:10:57 v1.06 @ IGNACIO1, recovered 105947 polynomials
03/06/09 20:10:57 v1.06 @ IGNACIO1, attempting to build 63569 cycles
03/06/09 20:10:57 v1.06 @ IGNACIO1, found 63569 cycles in 4 passes
03/06/09 20:10:57 v1.06 @ IGNACIO1, distribution of cycle lengths:
03/06/09 20:10:57 v1.06 @ IGNACIO1,    length 1 : 22378
03/06/09 20:10:57 v1.06 @ IGNACIO1,    length 2 : 19249
03/06/09 20:10:57 v1.06 @ IGNACIO1,    length 3 : 11557
03/06/09 20:10:57 v1.06 @ IGNACIO1,    length 4 : 5805
03/06/09 20:10:57 v1.06 @ IGNACIO1,    length 5 : 2681
03/06/09 20:10:57 v1.06 @ IGNACIO1,    length 6 : 1160
03/06/09 20:10:57 v1.06 @ IGNACIO1,    length 7 : 465
03/06/09 20:10:57 v1.06 @ IGNACIO1,    length 9+: 274
03/06/09 20:10:57 v1.06 @ IGNACIO1, largest cycle: 13 relations
03/06/09 20:10:57 v1.06 @ IGNACIO1, matrix is 63461 x 63569 (12.2 MB) with weight 2951178 (46.42/col)
03/06/09 20:10:57 v1.06 @ IGNACIO1, sparse part has weight 2951178 (46.42/col)
03/06/09 20:10:58 v1.06 @ IGNACIO1, filtering completed in 3 passes
03/06/09 20:10:58 v1.06 @ IGNACIO1, matrix is 55505 x 55569 (10.9 MB) with weight 2647033 (47.64/col)
03/06/09 20:10:58 v1.06 @ IGNACIO1, sparse part has weight 2647033 (47.64/col)
03/06/09 20:10:58 v1.06 @ IGNACIO1, saving the first 48 matrix rows for later
03/06/09 20:10:58 v1.06 @ IGNACIO1, matrix is 55457 x 55569 (6.8 MB) with weight 1941756 (34.94/col)
03/06/09 20:10:58 v1.06 @ IGNACIO1, sparse part has weight 1446471 (26.03/col)
03/06/09 20:10:58 v1.06 @ IGNACIO1, matrix includes 64 packed rows
03/06/09 20:10:58 v1.06 @ IGNACIO1, using block size 22227 for processor cache size 4096 kB
03/06/09 20:10:58 v1.06 @ IGNACIO1, commencing Lanczos iteration
03/06/09 20:10:58 v1.06 @ IGNACIO1, memory use: 7.2 MB
03/06/09 20:11:12 v1.06 @ IGNACIO1, lanczos halted after 878 iterations (dim = 55457)
03/06/09 20:11:12 v1.06 @ IGNACIO1, recovered 18 nontrivial dependencies
03/06/09 20:11:13 v1.06 @ IGNACIO1, prp32 = 63196433917841945793059806729903
03/06/09 20:11:16 v1.06 @ IGNACIO1, prp57 = 943460367647408648898474271030755521492481831856147907147
03/06/09 20:11:16 v1.06 @ IGNACIO1, Lanczos elapsed time = 17.9010 seconds.
03/06/09 20:11:16 v1.06 @ IGNACIO1, Sqrt elapsed time = 4.0970 seconds.
03/06/09 20:11:16 v1.06 @ IGNACIO1, Total elapsed time = 2950.5970 seconds.
03/06/09 20:11:16 v1.06 @ IGNACIO1, 
03/06/09 20:11:16 v1.06 @ IGNACIO1, 

Yafu 1.06

1052726973422312414369679920117417355319166283649319053416903491099269688020426323445565576922947838234591638134285291<118>

630342612127198618772322707546108783051<39>
1670086954568573035831635264946570628527344374543767768165202474247383904070241<79>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 1052726973422312414369679920117417355319166283649319053416903491099269688020426323445565576922947838234591638134285291 (118 digits)
Using B1=10000000, B2=22329304695, polynomial Dickson(12), sigma=2297428923
Step 1 took 115620ms
Step 2 took 43491ms
********** Factor found in step 2: 630342612127198618772322707546108783051
Found probable prime factor of 39 digits: 630342612127198618772322707546108783051
Probable prime cofactor 1670086954568573035831635264946570628527344374543767768165202474247383904070241 has 79 digits

2158849293134853218077483584563445998248047975113245449955511147068663709373540698881406823223212936548474217269200575389861213183399554894589<142>

748774627935310542844341727839743802819927791<45>
2883176342510051409699334891335850828461686184029339561537467917820009781658838034655592152020179<97>

748774627935310542844341727839743802819927791
2883176342510051409699334891335850828461686184029339561537467917820009781658838034655592152020179

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2638478874

63014602164578516246284111617020145906259199185840819334849396989209898299899308049379840635246456422169885608780350225758695943625084271396681008492854788438843929073<167>

1867026776250839137075534866906396435778878221081763119151314197691<67>
33751311425279937395605541824788251853175237888586255354011331969755570768424421839612181207353096003<101>

N=63014602164578516246284111617020145906259199185840819334849396989209898299899308049379840635246456422169885608780350225758695943625084271396681008492854788438843929073
  ( 167 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=1867026776250839137075534866906396435778878221081763119151314197691 (pp67)
 r2=33751311425279937395605541824788251853175237888586255354011331969755570768424421839612181207353096003 (pp101)
Version: Msieve-1.40
Total time: 93.43 hours.
Scaled time: 183.96 units (timescale=1.969).
Factorization parameters were as follows:
n: 63014602164578516246284111617020145906259199185840819334849396989209898299899308049379840635246456422169885608780350225758695943625084271396681008492854788438843929073
m: 100000000000000000000000000000000000
deg: 5
c5: 46
c0: 17
skew: 0.82
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 7000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1181148 x 1181375
Total sieving time: 91.13 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.01 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 93.43 hours.
 --------- CPU info (if available) ----------

542133732592978106945666598706861585594673769910452102579020398144651552201458231853382298783483099625489084900969349436539147122107481904070115834587083184571120388401<168>

8104568488111348562614408845397543<34>
66892362423519288858149215229470409647792932927990440248147057831515216094067576405705120507840562693982861619178921972432842900479207<134>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3582017823
Step 1 took 13133ms
Step 2 took 11373ms
********** Factor found in step 2: 8104568488111348562614408845397543
Found probable prime factor of 34 digits: 8104568488111348562614408845397543
Probable prime cofactor  has 134 digits

6.2.2

13832000329003677732486359003304176203544012674149590872787370476248161041862479999349586626768847291172756459635120679817785553539225845188616211<146>

3388768254679443081680648204169118438487879<43>
4081719164449650762349748983677163113332039512988898962657701345925090096107403245259948468919560490709<103>

N=13832000329003677732486359003304176203544012674149590872787370476248161041862479999349586626768847291172756459635120679817785553539225845188616211
  ( 146 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=3388768254679443081680648204169118438487879 (pp43)
 r2=4081719164449650762349748983677163113332039512988898962657701345925090096107403245259948468919560490709 (pp103)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 155.65 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13832000329003677732486359003304176203544012674149590872787370476248161041862479999349586626768847291172756459635120679817785553539225845188616211
m: 1000000000000000000000000000000000000
deg: 5
c5: 4600
c0: 17
skew: 0.33
# Murphy_E = 6.687e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 11650001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1537229 x 1537457
Total sieving time: 153.02 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.20 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 155.65 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

1496264689744556697713455616492523651767838009877562621586684040250572854722555513862078250144600045397516355271944053546345966132520860289004166042926188348428250689<166>

5944471152265388231458023758098851071953303037<46>
246044354378643048074738095250482827383191151092631<51>
1023014522682329255281627165709520660968651744312972427155420328081587<70>

N=1496264689744556697713455616492523651767838009877562621586684040250572854722555513862078250144600045397516355271944053546345966132520860289004166042926188348428250689
  ( 166 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=5944471152265388231458023758098851071953303037 (pp46)
 r2=246044354378643048074738095250482827383191151092631 (pp51)
 r3=1023014522682329255281627165709520660968651744312972427155420328081587 (pp70)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 183.15 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1496264689744556697713455616492523651767838009877562621586684040250572854722555513862078250144600045397516355271944053546345966132520860289004166042926188348428250689
m: 1000000000000000000000000000000000000
deg: 5
c5: 46000
c0: 17
skew: 0.21
# Murphy_E = 5.283e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
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, 13000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1828312 x 1828537
Total sieving time: 178.89 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.16 hours.
Time per square root: 0.84 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 183.15 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

129999158874386414092278381557565950049692477944100948620607526312960057177710102208554877754945065686966498221667922135545765706993431853492629149688738432863870965564829359889<177>

3968767260443630332344935218494234427<37>
32755551117869042807946521858380075254197316346061167646931499643323885643226734962949475903163294324458137898254397621009914369288420060707<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1950863607
Step 1 took 69033ms
Step 2 took 25841ms
********** Factor found in step 2: 3968767260443630332344935218494234427
Found probable prime factor of 37 digits: 3968767260443630332344935218494234427
Probable prime cofactor 32755551117869042807946521858380075254197316346061167646931499643323885643226734962949475903163294324458137898254397621009914369288420060707 has 140 digits

21014788672922974313248960645943713662452708882572632199332648653966452528619323484042769617204004560785915741575398008284527078366665999479562170835656811800006945037714485315641<179>

3483918410417653328026025291809676294239358737081<49>
6031940532844945205031708236972941727762753225496898645969583576605344615126483413085920246168251254539204418216058542930622437761<130>

Number: n
N=21014788672922974313248960645943713662452708882572632199332648653966452528619323484042769617204004560785915741575398008284527078366665999479562170835656811800006945037714485315641
  ( 179 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Feb  6 03:13:12 2012  prp49 factor: 3483918410417653328026025291809676294239358737081
Mon Feb  6 03:13:12 2012  prp130 factor: 6031940532844945205031708236972941727762753225496898645969583576605344615126483413085920246168251254539204418216058542930622437761
Mon Feb  6 03:13:12 2012  elapsed time 03:28:03 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.639).
Factorization parameters were as follows:
name: KA_51113_188
n: 21014788672922974313248960645943713662452708882572632199332648653966452528619323484042769617204004560785915741575398008284527078366665999479562170835656811800006945037714485315641
m: 10000000000000000000000000000000000000
#  c179, diff: 189.66
skew: 0.21
deg: 5
c5: 46000
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, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8745195 hash collisions in 80884672 relations (74648050 unique)
Msieve: matrix is 1314842 x 1315090 (368.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

6878350085200239603734739909058371014629976880201850069612691269946453707830548772678342600248531281315362608696621217573386641320539222946587882840360413<154>

31888168549636096654079391407691926132122787976175141184681308552577<68>
215702261937483843943631996904784646639522877755448795113329505373482763816226035723869<87>

6878350085200239603734739909058371014629976880201850069612691269946453707830548772678342600248531281315362608696621217573386641320539222946587882840360413=31888168549636096654079391407691926132122787976175141184681308552577*215702261937483843943631996904784646639522877755448795113329505373482763816226035723869

cado polynomial
n: 6878350085200239603734739909058371014629976880201850069612691269946453707830548772678342600248531281315362608696621217573386641320539222946587882840360413
skew: 1.30
type: snfs
c0: 85
c5: 23
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5+85
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10800000
tasks.lim1 = 10800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 215702261937483843943631996904784646639522877755448795113329505373482763816226035723869 31888168549636096654079391407691926132122787976175141184681308552577
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.68/1.93524
Info:Generate Free Relations: Total cpu/real time for freerel: 101.92/26.4847
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25742319
Info:Lattice Sieving: Average J: 1893.78 for 2249483 special-q, max bucket fill -bkmult 1.0,1s:1.079860
Info:Lattice Sieving: Total time: 493994s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.99/58.845
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 415.52/260.611
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 224.60000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 334.8/200.149
Info:Filtering - Merging: Total cpu/real time for merge: 307.22/87.7375
Info:Filtering - Merging: Total cpu/real time for replay: 79.67/70.1621
Info:Linear Algebra: Total cpu/real time for bwc: 72882/18697.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11908.86, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64512 iterations)
Info:Linear Algebra: Lingen CPU time 422.87, WCT time 122.1
Info:Linear Algebra: Mksol: WCT time 6538.31, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32256 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 73.46/30.1398
Info:Square Root: Total cpu/real time for sqrt: 522.27/167.5
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.01103e+06/514030
Info:root: Cleaning up computation data in /tmp/cado.erjajg6y
215702261937483843943631996904784646639522877755448795113329505373482763816226035723869 31888168549636096654079391407691926132122787976175141184681308552577

cado-nfs-3.0.0

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

28263462042147791730505769436211068374988578546457156629895848319476091378984184647841825722136897556711925177745706122411041509055898301774768203657174650854068887489947<170>

61137583776896848228636175019758186715547<41>
462292755063509909489422139570791741128811985179471440250996026534409705588866339888433675338364698340991547113525470534358195201<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3667222916
Step 1 took 65816ms
Step 2 took 26460ms
********** Factor found in step 2: 61137583776896848228636175019758186715547
Found probable prime factor of 41 digits: 61137583776896848228636175019758186715547

8592846641971572621696190566922397254772298904038451120712683228444563997093376222846137608834940756058423885124848457677428273080666281856577917504936216793784756663659170341976616249073<187>

260762297269813544129807543823882798729799665167997971159<57>
32952795446039739761211054902354536947392420415529117074629841418240402306663274850387484713927945397575803753833074495265237699447<131>

Number: n
N=8592846641971572621696190566922397254772298904038451120712683228444563997093376222846137608834940756058423885124848457677428273080666281856577917504936216793784756663659170341976616249073
  ( 187 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed Feb 10 01:40:43 2010  prp57 factor: 260762297269813544129807543823882798729799665167997971159
Wed Feb 10 01:40:43 2010  prp131 factor: 32952795446039739761211054902354536947392420415529117074629841418240402306663274850387484713927945397575803753833074495265237699447
Wed Feb 10 01:40:43 2010  elapsed time 09:20:43 (Msieve 1.42 - dependency 1)

Version: 
Total time: 18.79 hours.
Scaled time: 15.82 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_5_1_190_3
n: 8592846641971572621696190566922397254772298904038451120712683228444563997093376222846137608834940756058423885124848457677428273080666281856577917504936216793784756663659170341976616249073
m: 100000000000000000000000000000000000000
deg: 5
c5: 460
c0: 17
skew: 0.52
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10374101)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3318617 hash collisions in 26193151 relations
Msieve: matrix is 1884230 x 1884455 (506.1 MB)

Total sieving time: 18.79 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,192,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,56,56,2.5,2.5,100000
total time: 18.79 hours.
 --------- CPU info (if available) ----------

1897177758266466003567898788990143883156391975952024979817210485604186454194873990330347451353318868475162185495198890089889471727783333599774752844633265884111584613964949<172>

24527637055228679790053330005147297<35>

77348574344711900248143397201902127252238419609437775764473096905398712073855667946645489904090700000217853926771032123860527776171449717<137>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=2994922549
Step 1 took 187100ms
Step 2 took 128392ms
********** Factor found in step 2: 24527637055228679790053330005147297
Found probable prime factor of 35 digits: 24527637055228679790053330005147297
Composite cofactor has 137 digits

GMP-ECM 6.2.2

77348574344711900248143397201902127252238419609437775764473096905398712073855667946645489904090700000217853926771032123860527776171449717<137>

838046162845822061171586726636968564409591957231906572968087699<63>
92296317045415499589441238697953244066554440247057760024894074397306439383<74>

7*384865744381226570291*24527637055228679790053330005147297*838046162845822061171586726636968564409591957231906572968087699*92296317045415499589441238697953244066554440247057760024894074397306439383

Log has been overwritten. Cado-nfs-2.3.0 has been used the by default way, without any options. Elapsed time has been about 50 hours.

cado-nfs-2.3.0

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

51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<194>

217410993050638873355737846333375723<36>

235089819488596087295387233793131386382105303301089051036631344503098791738232356187656689122842975052128957602428239192437050778955177424652359127571338331931<159>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 51111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (194 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1525602877
Step 1 took 22444ms
Step 2 took 8829ms
********** Factor found in step 2: 217410993050638873355737846333375723
Found probable prime factor of 36 digits: 217410993050638873355737846333375723
Composite cofactor 235089819488596087295387233793131386382105303301089051036631344503098791738232356187656689122842975052128957602428239192437050778955177424652359127571338331931 has 159 digits

Core 2 Quad Q6700

235089819488596087295387233793131386382105303301089051036631344503098791738232356187656689122842975052128957602428239192437050778955177424652359127571338331931<159>

22629271489049673839143842811570298512345728466425660455690663273<65>
10388748908790823259594779343986440315372124395674441950906472618732226160621343777111519179747<95>

235089819488596087295387233793131386382105303301089051036631344503098791738232356187656689122842975052128957602428239192437050778955177424652359127571338331931=22629271489049673839143842811570298512345728466425660455690663273*10388748908790823259594779343986440315372124395674441950906472618732226160621343777111519179747

cado polynomial
n: 235089819488596087295387233793131386382105303301089051036631344503098791738232356187656689122842975052128957602428239192437050778955177424652359127571338331931
skew: 0.58
type: snfs
c0: 17
c6: 460
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 460*x^6+17
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12300000
tasks.lim1 = 12300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 22629271489049673839143842811570298512345728466425660455690663273 10388748908790823259594779343986440315372124395674441950906472618732226160621343777111519179747
Info:Square Root: Total cpu/real time for sqrt: 755.4/227.659
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 116.56/136.481
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 135.49999999999997s
Info:Filtering - Merging: Merged matrix has 2401202 rows and total weight 410729812 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 648.52/179.668
Info:Filtering - Merging: Total cpu/real time for replay: 92.67/80.2997
Info:Linear Algebra: Total cpu/real time for bwc: 99326.1/25429.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 63564.64, WCT time 16224.47, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75264 iterations)
Info:Linear Algebra: Lingen CPU time 516.38, WCT time 130.82
Info:Linear Algebra: Mksol: CPU time 34392.41,  WCT time 8783.99, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 184.27/47.6655
Info:Generate Factor Base: Total cpu/real time for makefb: 7.98/3.34382
Info:Filtering - Singleton removal: Total cpu/real time for purge: 415.23/407.835
Info:Square Root: Total cpu/real time for sqrt: 755.4/227.659
Info:Quadratic Characters: Total cpu/real time for characters: 83.83/36.1795
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 527.17/505.565
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 408.29999999999995s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27722784
Info:Lattice Sieving: Average J: 1893.3 for 3194446 special-q, max bucket fill -bkmult 1.0,1s:1.191080
Info:Lattice Sieving: Total time: 669402s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.4075e+06/69487.7
Info:root: Cleaning up computation data in /tmp/cado.fnsumpaj
22629271489049673839143842811570298512345728466425660455690663273 10388748908790823259594779343986440315372124395674441950906472618732226160621343777111519179747

cado-nfs-3.0.0

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

106677408713731836093503710909822578785203254954233898227861361144289238639733070166922470407002324543413917867708988612841823115190450200734865846843124530786010591001<168>

1352232292703206748131418929363<31>
78889854420261070134295297737329302219952025430485075571736676711205438128918148705492132762635601259166557687516563362370477021572531427<137>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=979988983 
Step 1 took 13253ms
Step 2 took 11473ms
********** Factor found in step 2: 1352232292703206748131418929363
Found probable prime factor of 31 digits: 1352232292703206748131418929363
Probable prime cofactor 788898544202610701342952977373293022199520254304850755717366767112054381289181487054921327626356012591665576875
16563362370477021572531427 has 137 digits 

GMP-ECM 6.2.2

34674586482065094315953501179424130338244514719566314691404567398222044813874100876034502781102379988447075395397273237244729111261146801096797638112440464089347820556047365805173999231<185>

46638014411653612788414145080653<32>

743483334775093414308085926936551688757350932685493179334475707140726021929978120094874282079886030617190668431423415363905819287792994902061667650047227<153>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=213234464
Step 1 took 15805ms
Step 2 took 12860ms
********** Factor found in step 2: 46638014411653612788414145080653
Found probable prime factor of 32 digits: 46638014411653612788414145080653
Composite cofactor  has 153 digits

6.2.2

743483334775093414308085926936551688757350932685493179334475707140726021929978120094874282079886030617190668431423415363905819287792994902061667650047227<153>

2060102078266857577068239391499043590094485734744126863<55>
360896356844889065224128237771589170953205993479845591245127455869924401113777524756503448348521429<99>

743483334775093414308085926936551688757350932685493179334475707140726021929978120094874282079886030617190668431423415363905819287792994902061667650047227=2060102078266857577068239391499043590094485734744126863*360896356844889065224128237771589170953205993479845591245127455869924401113777524756503448348521429

cado polynomial
n: 743483334775093414308085926936551688757350932685493179334475707140726021929978120094874282079886030617190668431423415363905819287792994902061667650047227
skew: 0.52
type: snfs
c0: 17
c5: 460
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 460*x^5+17
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13800000
tasks.lim1 = 13800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2060102078266857577068239391499043590094485734744126863 360896356844889065224128237771589170953205993479845591245127455869924401113777524756503448348521429
Info:Square Root: Total cpu/real time for sqrt: 916.2/289.088
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.85/2.36211
Info:Generate Free Relations: Total cpu/real time for freerel: 99.45/25.7242
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32542217
Info:Lattice Sieving: Average J: 1893.6 for 5827602 special-q, max bucket fill -bkmult 1.0,1s:1.159290
Info:Lattice Sieving: Total time: 1.46448e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 64.41/165.382
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 164.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 544.17/552.65
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 481.40000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 471.66/552.166
Info:Filtering - Merging: Merged matrix has 3188010 rows and total weight 545630726 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 448.55/130.315
Info:Filtering - Merging: Total cpu/real time for replay: 124.81/110.596
Info:Linear Algebra: Total cpu/real time for bwc: 158364/40668.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 23775.98, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (99840 iterations)
Info:Linear Algebra: Lingen CPU time 662.7, WCT time 191.59
Info:Linear Algebra: Mksol: WCT time 16651.2, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50176 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 110.4/47.0106
Info:Square Root: Total cpu/real time for sqrt: 916.2/289.088
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.89257e+06/41009.8
2060102078266857577068239391499043590094485734744126863 360896356844889065224128237771589170953205993479845591245127455869924401113777524756503448348521429

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1169805586998533927436713560525912310314331032405172374705673493828343862704988973513491556300228997682634444724073968472438637783414470344580545241<148>

130550024777403132153418348493<30>
8960592608030015896461355940957297379276489908903690773678245168039100889919773852994128966768993206114558634605407037<118>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=1748386705
Step 1 took 154413ms
Step 2 took 115743ms
********** Factor found in step 2: 130550024777403132153418348493
Found probable prime factor of 30 digits: 130550024777403132153418348493
Probable prime cofactor has 118 digits

GMP-ECM 6.2.2

2192214056118725601630987762193801019326643567055084808284747925849551441678434560826540105553931365837291000526639267712132317676770267569260971<145>

3420061608500292909209468447453364451360943366374615305323824729<64>
640986715172074904076678106671713883320485136780130255219971407401246417176123299<81>

2192214056118725601630987762193801019326643567055084808284747925849551441678434560826540105553931365837291000526639267712132317676770267569260971=3420061608500292909209468447453364451360943366374615305323824729*640986715172074904076678106671713883320485136780130255219971407401246417176123299

n: 2192214056118725601630987762193801019326643567055084808284747925849551441678434560826540105553931365837291000526639267712132317676770267569260971
skew: 581474.633
c0: -9161913922488616657109254383442149
c1: -60860357562356559093203715372
c2: 101167065401833584306229
c3: -91429627664381428
c4: -105046025520
c5: 253800
Y0: -6132535639398825760851001990
Y1: 61067535185250791501
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.93e-07
# found by revision 7f9c8bd19
# f(x) = 253800*x^5-105046025520*x^4-91429627664381428*x^3+101167065401833584306229*x^2-60860357562356559093203715372*x-9161913922488616657109254383442149
# g(x) = 61067535185250791501*x-6132535639398825760851001990

Info:Square Root: Factors: 3420061608500292909209468447453364451360943366374615305323824729 640986715172074904076678106671713883320485136780130255219971407401246417176123299
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 18.08/4.8296
Info:Generate Free Relations: Total cpu/real time for freerel: 445.75/114.448
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47854030
Info:Lattice Sieving: Average J: 3807.77 for 56363 special-q, max bucket fill -bkmult 1.0,1s:1.071780
Info:Lattice Sieving: Total time: 80168.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.47/80.6704
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.29999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 813.76/452.005
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 372.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 633.48/589.447
Info:Filtering - Merging: Total cpu/real time for merge: 466.27/136.947
Info:Filtering - Merging: Total cpu/real time for replay: 141.23/121.945
Info:Linear Algebra: Total cpu/real time for bwc: 201334/51472.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 32841.93, iteration CPU time 0.3, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (104448 iterations)
Info:Linear Algebra: Lingen CPU time 704.89, WCT time 202.82
Info:Linear Algebra: Mksol: WCT time 17990.5, iteration CPU time 0.33, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52224 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 136.5/56.76
Info:Square Root: Total cpu/real time for sqrt: 1561.83/461.326
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 300353/94031.9
Info:root: Cleaning up computation data in /tmp/cado.gsscwc_v
3420061608500292909209468447453364451360943366374615305323824729 640986715172074904076678106671713883320485136780130255219971407401246417176123299

cado-nfs-3.0.0

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

72551415483888517760049292527301124032565333330201576062054979474155703535015573069095572226591385587901950582495925642909299063051058503583071576620216334760029765962191195880297<179>

4484058301071379622741105676188345008565178269<46>
16179855526533575678537934369831757501254131546308240212048973593777960637129934028687447988527666859786511809301731416788135516561213<134>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2161286943
Step 1 took 31469ms
Step 2 took 13281ms
********** Factor found in step 2: 4484058301071379622741105676188345008565178269
Found prime factor of 46 digits: 4484058301071379622741105676188345008565178269
Prime cofactor 16179855526533575678537934369831757501254131546308240212048973593777960637129934028687447988527666859786511809301731416788135516561213 has 134 digits
 

GMP-ECM

26441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340461<200>

25095474208856818167520252174989158442949<41>
3297726093382206271419702874019435673426517286346071139459697077025086546391<76>
319501926354791297344734539988594417282060450051494131411273826097979565702137229279<84>

N=26441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340461
  ( 200 digits)
SNFS difficulty: 204 digits.
Divisors found:
 r1=25095474208856818167520252174989158442949 (pp41)
 r2=3297726093382206271419702874019435673426517286346071139459697077025086546391 (pp76)
 r3=319501926354791297344734539988594417282060450051494131411273826097979565702137229279 (pp84)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 1246.67 hours.
Scaled time: 2805.00 units (timescale=2.250).
Factorization parameters were as follows:
n: 26441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340460999022820026441340461
m: 20000000000000000000000000000000000000000
deg: 5
c5: 575
c0: 68
skew: 0.65
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8900000, 25100001)
Primes: RFBsize:1139344, AFBsize:1139550, largePrimes:39498154 encountered
Relations: rels:43640536, finalFF:2563810
Max relations in full relation-set: 32
Initial matrix: 2278961 x 2563810 with sparse part having weight 390927558.
Pruned matrix : 2046135 x 2057593 with weight 354661269.
Total sieving time: 1150.15 hours.
Total relation processing time: 5.81 hours.
Matrix solve time: 90.28 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17800000,17800000,29,29,56,56,2.6,2.6,100000
total time: 1246.67 hours.

2318692355219335889279330974266495446963016649764130289273157607089790609897107557958035371221408594586966423706067076252481005230640799873091717010757764222127636712290159721726633235266306829909<196>

687532532280190842916694085002465076025339239115000269108110699129<66>
3372483840916485969525018388583766838089177129312922854258447133659282089546867045981361800617945037942604625720722799254656805821<130>

Number: n
N=2318692355219335889279330974266495446963016649764130289273157607089790609897107557958035371221408594586966423706067076252481005230640799873091717010757764222127636712290159721726633235266306829909
  ( 196 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri Feb  4 15:10:30 2011  prp66 factor: 687532532280190842916694085002465076025339239115000269108110699129
Fri Feb  4 15:10:30 2011  prp130 factor: 3372483840916485969525018388583766838089177129312922854258447133659282089546867045981361800617945037942604625720722799254656805821
Fri Feb  4 15:10:30 2011  elapsed time 08:08:16 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
name: KA_5_1_202_3
n: 2318692355219335889279330974266495446963016649764130289273157607089790609897107557958035371221408594586966423706067076252481005230640799873091717010757764222127636712290159721726633235266306829909
m: 10000000000000000000000000000000000000000
#  Diff: 204.66
deg: 5
c5: 46000
c0: 17
skew: 0.21
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7224138 hash collisions in 35149185 relations
Msieve: matrix is 2361500 x 2361725 (670.0 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,204,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.85 BogoMIPS (lpj=2830925)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Total of 4 processors activated (22644.58 BogoMIPS).

1566326652841884263383910245190642757004562144678594557191654475127994269429970431957852371626251467309348151111157434132964267730612039440949517298355163675551456620800107222169714432173<187>

63689867134616881370121996365422509084045658107622854840991757136388970402365741328899<86>
24593027483182648193442793079216593590181337920426724435135005658989351364469812375681657574182538127<101>

Number: n
N=1566326652841884263383910245190642757004562144678594557191654475127994269429970431957852371626251467309348151111157434132964267730612039440949517298355163675551456620800107222169714432173  ( 187 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Oct 16 03:26:03 2021  p86 factor: 63689867134616881370121996365422509084045658107622854840991757136388970402365741328899
Sat Oct 16 03:26:03 2021  p101 factor: 24593027483182648193442793079216593590181337920426724435135005658989351364469812375681657574182538127
Sat Oct 16 03:26:03 2021  elapsed time 02:14:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 46x10^204+17 = 51(203)3
#
n: 1566326652841884263383910245190642757004562144678594557191654475127994269429970431957852371626251467309348151111157434132964267730612039440949517298355163675551456620800107222169714432173
m: 100000000000000000000000000000000000000000
deg: 5
c5: 23
c0: 85
skew: 1.30
# Murphy_E = 8.971e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10526816 hash collisions in 71691274 relations (62593684 unique)
Msieve: matrix is 2361667 x 2361894 (808.4 MB)

Sieving start time : 2021/10/15 08:35:03
Sieving end time  : 2021/10/16 01:10:07

Total sieving time: 16hrs 35min 4secs.

Total relation processing time: 1hrs 51min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 12sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

862751014878177192669246921523968294566576483833430066679513968164744011420420343829157650192501374428066076914577049981508132536348691220233943087987161990584331787629270593936633701623762319<192>

62321402216712896823293790132767241588838041343835141111373628231<65>
13843575147396329756606438156046388463323867640423034049267670108192626196467870450072124480393113435375707111405429844434909049<128>

Number: n
N=862751014878177192669246921523968294566576483833430066679513968164744011420420343829157650192501374428066076914577049981508132536348691220233943087987161990584331787629270593936633701623762319
  ( 192 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Jul 13 23:33:38 2021  p65 factor: 62321402216712896823293790132767241588838041343835141111373628231
Tue Jul 13 23:33:38 2021  p128 factor: 13843575147396329756606438156046388463323867640423034049267670108192626196467870450072124480393113435375707111405429844434909049
Tue Jul 13 23:33:38 2021  elapsed time 02:21:14 (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 = 46x10^205+17 = 51(204)3
#
n: 862751014878177192669246921523968294566576483833430066679513968164744011420420343829157650192501374428066076914577049981508132536348691220233943087987161990584331787629270593936633701623762319
m: 100000000000000000000000000000000000000000
deg: 5
c5: 46
c0: 17
skew: 0.82
# Murphy_E = 8.103e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8463224 hash collisions in 57136362 relations (50701035 unique)
Msieve: matrix is 2453673 x 2453898 (854.9 MB)

Sieving start time : 2021/07/13 09:19:30
Sieving end time  : 2021/07/13 21:11:30

Total sieving time: 11hrs 52min 0secs.

Total relation processing time: 1hrs 56min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 20sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472)
[    0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

76945806133492899080566380845970175404605438351211822617090122941173170437402063544645431149048497085993792644945532745595572553198550883206932138407769156533588383526363940466720334337<185>

32073322060812338802396791402060820006201175117649383611611<59>
2399059442224303534037820082867278021149892752549561881576046135805137426519063621518262331326919126341327533580743791500592467<127>

Number: n
N=76945806133492899080566380845970175404605438351211822617090122941173170437402063544645431149048497085993792644945532745595572553198550883206932138407769156533588383526363940466720334337  ( 185 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Dec  4 16:58:17 2021  p59 factor: 32073322060812338802396791402060820006201175117649383611611
Sat Dec  4 16:58:17 2021  p127 factor: 2399059442224303534037820082867278021149892752549561881576046135805137426519063621518262331326919126341327533580743791500592467
Sat Dec  4 16:58:17 2021  elapsed time 03:04:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 46x10^206+17 = 51(205)3
#
n: 76945806133492899080566380845970175404605438351211822617090122941173170437402063544645431149048497085993792644945532745595572553198550883206932138407769156533588383526363940466720334337
m: 100000000000000000000000000000000000000000
deg: 5
c5: 460
c0: 17
skew: 0.52
# Murphy_E = 5.353e-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, 73200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11595911 hash collisions in 66697251 relations (57108207 unique)
Msieve: matrix is 2806782 x 2807008 (966.0 MB)

Sieving start time : 2021/12/03 09:33:56
Sieving end time  : 2021/12/04 13:52:56

Total sieving time: 28hrs 19min 0secs.

Total relation processing time: 2hrs 43min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 35sec.

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

5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<208>

12857144385741798650630560034014123007<38>

397530816934683065513765639296516490304989267058017598797819310992571984766487826679581332076879867696278967799742850043088796508297983275740854757367960934745202164079159<171>

GMP-ECM 6.4.4 [configured with GMP 5.1.2, --enable-asm-redc] [ECM]
Input number is 5111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (208 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1224186650
Step 1 took 4943ms
Step 2 took 2354ms
********** Factor found in step 2: 12857144385741798650630560034014123007
Found probable prime factor of 38 digits: 12857144385741798650630560034014123007
Composite cofactor 397530816934683065513765639296516490304989267058017598797819310992571984766487826679581332076879867696278967799742850043088796508297983275740854757367960934745202164079159 has 171 digits

Core i7 980

397530816934683065513765639296516490304989267058017598797819310992571984766487826679581332076879867696278967799742850043088796508297983275740854757367960934745202164079159<171>

13018597723146422377374166695292575178367<41>
30535609547861898318616507785283570641544085616502886806717860733526721627971060665626240689035573941349443519573791456104005064777<131>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3780691958
Step 1 took 73733ms
Step 2 took 28864ms
********** Factor found in step 2: 13018597723146422377374166695292575178367
Found probable prime factor of 41 digits: 13018597723146422377374166695292575178367

479185414818967931822494264679297825796229654192781250084566756601037758256793530196336891881428375386345431691553974609589192985161789561083592404256428242723<159>

300430296981027179421279512980058674307470498007421452338124997010768185333881888833565912981779480857963620059026141297730182770883775331352545705245625595793<159>

356631803315980487972393923569184259<36>
735289210605738738052639810334080121462657<42>
1145685625448469195721223316213156190637442150241747803843185665821815619447986011<82>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2630524526
Step 1 took 19542ms
Step 2 took 7924ms
********** Factor found in step 2: 735289210605738738052639810334080121462657
Found probable prime factor of 42 digits: 735289210605738738052639810334080121462657

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3435364672
Step 1 took 13995ms
Step 2 took 5880ms
********** Factor found in step 2: 356631803315980487972393923569184259
Found probable prime factor of 36 digits: 356631803315980487972393923569184259

139578540427670629266401973181179204809613783385804726979014925736052273072095170364681799648216859832839645082432255788436011982568644998878981130720915652982149200027247659755224990809<186>

10483747623378541701241243522037818755557579771722869081135183632781760424293237854511495724001302093406811881297208566579787842174259803568635467302639<152>

3913502348128391199582994965251408384936429014603593830506876625893680067866417026413784837227690682919865148409120563540679312066929504227671819796859861942170928118084462605183890887237730101645493211<202>

513575030892889615026869060654806629131070722061061831099025048484344290101570247357744884915470511485103926761940177538705896880525614457349<141>

1112427134603655071683837214130064052521096677177569526201663527777417<70>
461670715247224225222806838389216490218138384827703563535204746459568797<72>

Number: 51113_213
N = 513575030892889615026869060654806629131070722061061831099025048484344290101570247357744884915470511485103926761940177538705896880525614457349 (141 digits)
Divisors found:
r1=1112427134603655071683837214130064052521096677177569526201663527777417 (pp70)
r2=461670715247224225222806838389216490218138384827703563535204746459568797 (pp72)
Version: Msieve v. 1.51 (SVN 845)
Total time: 365.23 hours.
Factorization parameters were as follows:
# Murphy_E = 1.931e-11, selected by Erik Branger
# expecting poly E from 1.86e-011 to > 2.14e-011
n: 513575030892889615026869060654806629131070722061061831099025048484344290101570247357744884915470511485103926761940177538705896880525614457349
Y0: -2324966810684603591295413209
Y1: 404558120750779
c0: -2197543679163486042094148531589169920
c1: -233630331178677353446621832664
c2: 3567596919210414930198362
c3: 768187896570596801
c4: -168341998158
c5: 7560
skew: 4109778.28
type: gnfs
# selected mechanically
rlim: 19100000
alim: 19100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23006583
Relations: 3741832 relations
Pruned matrix : 2305088 x 2305313
Polynomial selection time: 0.00 hours.
Total sieving time: 358.25 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 5.26 hours.
time per square root: 1.53 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19100000,19100000,28,28,56,56,2.6,2.6,100000
total time: 365.23 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

266574892153207828684032016424152096177264465883572844343611659661074880282746553866986717452647386915157478083630636788146313281593534031027912109377929721588566234831704718518393380461<186>

76510739061468426842243094229798139230556098599248975745722990904540699181839341043826652109336997399325179407001557183338435506929396068925904924037597431619948106656369940286134079<182>

10858294881514684697308448399557981659343<41>

7046294090955421999916986255412570054810437293690780225353671732410633056409980754149801381508202348954276963148717322973147497217614831902353<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1707436024
Step 1 took 22862ms
Step 2 took 8968ms
********** Factor found in step 2: 10858294881514684697308448399557981659343
Found probable prime factor of 41 digits: 10858294881514684697308448399557981659343

7046294090955421999916986255412570054810437293690780225353671732410633056409980754149801381508202348954276963148717322973147497217614831902353<142>

63849561295242294840376731046641193158401<41>
110357752630016451640197000172853964482334652280373464102711944095925787226369549487350400355945867153<102>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1384687263
Step 1 took 33542ms
Step 2 took 13268ms
********** Factor found in step 2: 63849561295242294840376731046641193158401
Found probable prime factor of 41 digits: 63849561295242294840376731046641193158401
Probable prime cofactor 

305633625014118944633804407768409442750171088387915512235311314423913837894582976207086713574783897094487299594038815470376793105968493159786587999229271728225265270053884536931837057412612037978300012623997554931<213>

509731131746408009886416971699228903947922348478958838833420497637828052929419158970313772481413261<99>
599597721188770012222117690380744708455609011493168090185961208055925717974488205288620900700842395877464482969471<114>

Number: n
N=305633625014118944633804407768409442750171088387915512235311314423913837894582976207086713574783897094487299594038815470376793105968493159786587999229271728225265270053884536931837057412612037978300012623997554931
  ( 213 digits)
SNFS difficulty: 217 digits.
Divisors found:

Tue Oct 24 03:52:29 2017  p99 factor: 509731131746408009886416971699228903947922348478958838833420497637828052929419158970313772481413261
Tue Oct 24 03:52:29 2017  p114 factor: 599597721188770012222117690380744708455609011493168090185961208055925717974488205288620900700842395877464482969471
Tue Oct 24 03:52:29 2017  elapsed time 06:11:42 (Msieve 1.53 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.117).
Factorization parameters were as follows:
#
# 46x10^216+17 51(215)3
#
n: 305633625014118944633804407768409442750171088387915512235311314423913837894582976207086713574783897094487299594038815470376793105968493159786587999229271728225265270053884536931837057412612037978300012623997554931
m: 1000000000000000000000000000000000000
deg: 6
c6: 46
c0: 17
skew: 0.85
# Murphy_E = 3.025e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 57400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11754002 hash collisions in 68525511 relations (58063887 unique)
Msieve: matrix is 3860971 x 3861197 (1099.6 MB)

Sieving start time: 2017/10/22 08:15:59
Sieving end time  : 2017/10/23 21:38:48

Total sieving time: 37hrs 22min 49secs.

Total relation processing time: 5hrs 31min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 23sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297376K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406084K reserved, 0K cma-reserved)
[    0.100625] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.61 BogoMIPS (lpj=11977224)
[    0.098232] smpboot: Total of 16 processors activated (95817.79 BogoMIPS)

46479517016872917409471392246907090559991467266280995010262783061396788435441480399551137583195325802728766186313534584220952899284540404374844492780595686881112227327547354027853859463486889725787839832327<206>

404726520970665032728079553074003947089059934477289543<54>
110356598713494611238897442002566905881312088146141121517900656973843<69>
1040642685544655830062197997241604098546118978729198531346626998067496369324165288923<85>

Number: n
N=46479517016872917409471392246907090559991467266280995010262783061396788435441480399551137583195325802728766186313534584220952899284540404374844492780595686881112227327547354027853859463486889725787839832327  ( 206 digits)
SNFS difficulty: 219 digits.
Divisors found:

Sun Jun 28 12:29:34 2020  found factor: 110356598713494611238897442002566905881312088146141121517900656973843
Sun Jun 28 12:51:43 2020  p54 factor: 404726520970665032728079553074003947089059934477289543
Sun Jun 28 12:51:43 2020  p69 factor: 110356598713494611238897442002566905881312088146141121517900656973843
Sun Jun 28 12:51:43 2020  p85 factor: 1040642685544655830062197997241604098546118978729198531346626998067496369324165288923
Sun Jun 28 12:51:43 2020  elapsed time 11:53:57 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.126).
Factorization parameters were as follows:
#
# N = 46x10^218+17 = 51(217)3
#
n: 46479517016872917409471392246907090559991467266280995010262783061396788435441480399551137583195325802728766186313534584220952899284540404374844492780595686881112227327547354027853859463486889725787839832327
m: 1000000000000000000000000000000000000
deg: 6
c6: 4600
c0: 17
skew: 0.39
# Murphy_E = 1.967e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 99200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10208558 hash collisions in 58956490 relations (50801022 unique)
Msieve: matrix is 4720682 x 4720907 (1663.2 MB)

Sieving start time: 2020/06/25 22:30:20
Sieving end time  : 2020/06/28 00:56:40

Total sieving time: 50hrs 26min 20secs.

Total relation processing time: 10hrs 39min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 55min 23sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149982] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283140K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420320K reserved, 0K cma-reserved)
[    0.184563] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.60 BogoMIPS (lpj=11977216)
[    0.182229] smpboot: Total of 16 processors activated (95817.72 BogoMIPS)

63085163660867060980422297498228939768649281013062435370464872947651407645083097125109922171487575825778825846647111837383302728482641561706568061<146>

172578173136094627363371229196140416614478911<45>
365545436682298699446563522492366259653574435303805804039231557868693286877712054706710230926888227651<102>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:716865669
Step 1 took 28812ms
Step 2 took 18203ms
********** Factor found in step 2: 172578173136094627363371229196140416614478911
Found probable prime factor of 45 digits: 172578173136094627363371229196140416614478911
Probable prime cofactor 365545436682298699446563522492366259653574435303805804039231557868693286877712054706710230926888227651 has 102 digits

GMP-ECM 7.0

3060513324540952039951643951667206344309676350494022618423048214981443408755271136069933875981955813972431088198054386572546347533179028682180736578895894694990153320804587341033989509635533700188363974412397559<211>

198955396549954467737882295412686995932007<42>
15382911836585980048529228623156441986524417622258049981161196617103092044816034472288685669963749112416906498341675676705703964539397049165253391140588454264577670301937<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2497334277
Step 1 took 26705ms
Step 2 took 10338ms
********** Factor found in step 2: 198955396549954467737882295412686995932007
Found probable prime factor of 42 digits: 198955396549954467737882295412686995932007

26890341769713481926783301595759962267278356351679217541518212553257611955917612774308254655619207376908059874105977027740240049522517839974193520162762249278469345883014441921<176>

19384247749755864053360640415236129518013590475253381<53>
216492177344652817824498960536770978385780380569958386040283<60>
6407744135735569391828480297239454607134957318360223366524719927<64>

Number: 51113_222
N = 26890341769713481926783301595759962267278356351679217541518212553257611955917612774308254655619207376908059874105977027740240049522517839974193520162762249278469345883014441921 (176 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=19384247749755864053360640415236129518013590475253381 (pp53)
r2=216492177344652817824498960536770978385780380569958386040283 (pp60)
r3=6407744135735569391828480297239454607134957318360223366524719927 (pp64)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 82.93 hours.
Factorization parameters were as follows:
n: 26890341769713481926783301595759962267278356351679217541518212553257611955917612774308254655619207376908059874105977027740240049522517839974193520162762249278469345883014441921
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4600
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: 33903689
Relations: 8974540 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 27.05 hours.
Total relation processing time: 0.46 hours.
Pruned matrix : 7683368 x 7683593
Matrix solve time: 54.68 hours.
time per square root: 0.74 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: 82.93 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

200389672077870154045157465362995460858090039082536993098527862811506352042587148537326990879421363638568783<108>

189525702314836402856207772195629<33>
1057321881044855522317685122430292725420226570406711059648804703932475509227<76>

N=200389672077870154045157465362995460858090039082536993098527862811506352042587148537326990879421363638568783
  ( 108 digits)
Divisors found:
 r1=189525702314836402856207772195629 (pp33)
 r2=1057321881044855522317685122430292725420226570406711059648804703932475509227 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 11.53 hours.
Scaled time: 10.76 units (timescale=0.933).
Factorization parameters were as follows:
n: 200389672077870154045157465362995460858090039082536993098527862811506352042587148537326990879421363638568783
skew: 2863238.97
c0: -84905504645983820059871322713
c1: -65354915262542753080298
c2: 31801373300562087
c3: 5523838042
c4: 3120
Y0: -89522010679688675054739636
Y1: 166343691565291
rlim: 2920000
alim: 2920000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 120000
type: gnfs
Factor base limits: 2920000/2920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1460000, 2300001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 416844 x 417070
Total sieving time: 10.97 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2920000,2920000,26,26,52,52,2.5,2.5,150000
total time: 11.53 hours.
 --------- CPU info (if available) ----------

1770125853112106806133866735053862799787028154564746618888476322577824305612788823118746867601163743998594649368778257993296418720893967306077953654288620261746886001621987098944899130322968878200222507051634006619057<217>

2113055756574232629741812754435524907387109795907015190270679429498181207806009755247345555388098157003871609557244990022003566274118479292382514902079904193688616826159455563271111680283<187>

16468353611619348843478716201951973243264658363452891164449661795742310295573447043181378134467594231431190639519826982500502492873776595325327301571719485195634193433904982579513551041100141926971<197>

6604371287741624460848001878262338753112457715482520447829539371157443968787744958007478124547709250535558187578750689774044810306834252675506773810755629061094973821380236738466682896292973036000025831<202>

4162540266986604335857817831340228231161372525840247717894618170434326039681425184604047235254458287360650861074960905780582463044105352778609007665280183459233530659849235223410244463807566567849123511428084874741<214>

133554814523551472593457669261933<33>
31167279755778246398425257982592821069016564176953671499710308316119562964097773976643952105843840449701842277242153788560995062469905704289789644648206831524292699773810970528222377<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=300062283
Step 1 took 31341ms
Step 2 took 11081ms
********** Factor found in step 2: 133554814523551472593457669261933
Found probable prime factor of 33 digits: 133554814523551472593457669261933

276143720974976362258625515997516013098074298748475506854777512245011261447646098949737326104800921319584476587761426909603808763574801166766610727020841653073673641090990770826363409425946243122445470145237<207>

1246638549093387409251680069671596117766593384172284337200114891860061785703399776457482372946007951356087347708576306356894643421235600766691834007681767312300007262088637<172>

1461396056381301022607376161398956770416035359517130083777307129739194547989024546562352666328458200452008178965029961473725987091512050594586744695633842731910089036577030247121<178>

964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870021<234>

415925174858499583074082373042183511707657<42>
67807978613395445271452364832397916394233161<44>

34193491328276277432625654804780585557435038579846304230622441047473826880440488529879994540828420669592057992009159533922180828721113114141769545973<149>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3851680377
Step 1 took 178312ms
Step 2 took 51570ms
********** Factor found in step 2: 67807978613395445271452364832397916394233161
Found probable prime factor of 44 digits: 67807978613395445271452364832397916394233161

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1969885546
Step 1 took 114288ms
Step 2 took 23253ms
********** Factor found in step 2: 415925174858499583074082373042183511707657
Found probable prime factor of 42 digits: 415925174858499583074082373042183511707657

34193491328276277432625654804780585557435038579846304230622441047473826880440488529879994540828420669592057992009159533922180828721113114141769545973<149>

38776947998926500658640146064563555531827840655907<50>
881799447682754417880555598417764154851529958832008059126298656265169466795219372278276395467320839<99>

FACTORS
881799447682754417880555598417764154851529958832008059126298656265169466795219372278276395467320839
38776947998926500658640146064563555531827840655907
POLYNOMIAL
n: 34193491328276277432625654804780585557435038579846304230622441047473826880440488529879994540828420669592057992009159533922180828721113114141769545973
skew: 3655652.887
c0: -1377045862777224200265846422015208058
c1: 2294847492089693841333841762703
c2: 404605933881007056563323
c3: -452227737422323817
c4: -25319209860
c5: 3780
Y0: -100307766083361363883867879731
Y1: 1326165555714608481107
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=4.027e+14) = 6.915e-07
# f(x) = 3780*x^5-25319209860*x^4-452227737422323817*x^3+404605933881007056563323*x^2+2294847492089693841333841762703*x-1377045862777224200265846422015208058
# g(x) = 1326165555714608481107*x-100307766083361363883867879731

cado-nfs

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

113838111191827544916973423149154713258932360131968975117110462635423589011215214024964968857358643443352850790301447425033669715418901751873602025073131515303983010516791033085202238643440394096819<198>

259684990623685421722615884745172843<36>
438370007132189512178534747213251673040718779570323558378187240060491894190232397757989798780891551080665624232456977203590786926891436736654502192293311798851033<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3621962476
Step 1 took 26727ms
Step 2 took 9976ms
********** Factor found in step 2: 259684990623685421722615884745172843
Found probable prime factor of 36 digits: 259684990623685421722615884745172843

2239014331732332506400066853210105603140161436549013371798850271823173619964866700022073339478065698042419087071814651587102912646081509675101035194888484030081003284876989131563729140145141251909544667<202>

479004474944178265944950106950200890585995926385580245333791327262445110143926645660212895702987387741219675601851689886542093330496419054069521942233856038325396562683439298686547967456915963127329844138578731475037<216>

5500798407547826234422289839323991<34>

87079081881444789405620543402509881114686304542823270501170133916362524333228787887829430330549468303811922773478370023726486666797586606911383294066240250262454746046939248998688107<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2038146720
Step 1 took 30644ms
Step 2 took 11047ms
********** Factor found in step 2: 5500798407547826234422289839323991
Found probable prime factor of 34 digits: 5500798407547826234422289839323991

731203306310602447941503735495151804164679701160387855666825623907168971546653950087426482276267683993005881417898585280559529486568113177555237641074550945795580988714035924336353520902877126053091718327769829915752662533778413606739787<237>

100699957864307998204685836411367098348892928717958611744572763741515491977074798519920861362703263569226381902825223750452227374327599624189915302788535291188352347169441214714100126177448405754975471<201>

2754847897656920186152518503434418789015625707910115814949920551667983813996457329244592237573538335753551611839427434751501790124123858364326636201159068134380825539835305178871817644224352160722193638777080129831496869718024279<229>