4251562040146140473214122361854652982848323985713055697350360731657598250913534246242509379<91>

5206728456358460814368918326710497623619<40>
816551520937130805126208331277646872665420305239041<51>

Thu Feb 26 12:33:30 2009  
Thu Feb 26 12:33:30 2009  
Thu Feb 26 12:33:30 2009  Msieve v. 1.39
Thu Feb 26 12:33:30 2009  random seeds: 1c0eaa08 647b5fed
Thu Feb 26 12:33:30 2009  factoring 4251562040146140473214122361854652982848323985713055697350360731657598250913534246242509379 (91 digits)
Thu Feb 26 12:33:30 2009  searching for 15-digit factors
Thu Feb 26 12:33:31 2009  commencing quadratic sieve (91-digit input)
Thu Feb 26 12:33:32 2009  using multiplier of 3
Thu Feb 26 12:33:32 2009  using 64kb Opteron sieve core
Thu Feb 26 12:33:32 2009  sieve interval: 18 blocks of size 65536
Thu Feb 26 12:33:32 2009  processing polynomials in batches of 6
Thu Feb 26 12:33:32 2009  using a sieve bound of 1719869 (64602 primes)
Thu Feb 26 12:33:32 2009  using large prime bound of 165107424 (27 bits)
Thu Feb 26 12:33:32 2009  using double large prime bound of 619412223763104 (42-50 bits)
Thu Feb 26 12:33:32 2009  using trial factoring cutoff of 50 bits
Thu Feb 26 12:33:32 2009  polynomial 'A' values have 12 factors
Thu Feb 26 14:20:01 2009  64779 relations (16935 full + 47844 combined from 763205 partial), need 64698
Thu Feb 26 14:20:02 2009  begin with 780140 relations
Thu Feb 26 14:20:03 2009  reduce to 161345 relations in 11 passes
Thu Feb 26 14:20:03 2009  attempting to read 161345 relations
Thu Feb 26 14:20:04 2009  recovered 161345 relations
Thu Feb 26 14:20:04 2009  recovered 140533 polynomials
Thu Feb 26 14:20:05 2009  attempting to build 64779 cycles
Thu Feb 26 14:20:05 2009  found 64779 cycles in 6 passes
Thu Feb 26 14:20:05 2009  distribution of cycle lengths:
Thu Feb 26 14:20:05 2009     length 1 : 16935
Thu Feb 26 14:20:05 2009     length 2 : 12091
Thu Feb 26 14:20:05 2009     length 3 : 11203
Thu Feb 26 14:20:05 2009     length 4 : 8860
Thu Feb 26 14:20:05 2009     length 5 : 6186
Thu Feb 26 14:20:05 2009     length 6 : 4047
Thu Feb 26 14:20:05 2009     length 7 : 2466
Thu Feb 26 14:20:05 2009     length 9+: 2991
Thu Feb 26 14:20:05 2009  largest cycle: 21 relations
Thu Feb 26 14:20:06 2009  matrix is 64602 x 64779 (16.1 MB) with weight 3955790 (61.07/col)
Thu Feb 26 14:20:06 2009  sparse part has weight 3955790 (61.07/col)
Thu Feb 26 14:20:07 2009  filtering completed in 3 passes
Thu Feb 26 14:20:07 2009  matrix is 60649 x 60713 (15.2 MB) with weight 3741452 (61.63/col)
Thu Feb 26 14:20:07 2009  sparse part has weight 3741452 (61.63/col)
Thu Feb 26 14:20:08 2009  saving the first 48 matrix rows for later
Thu Feb 26 14:20:08 2009  matrix is 60601 x 60713 (9.7 MB) with weight 2963658 (48.81/col)
Thu Feb 26 14:20:08 2009  sparse part has weight 2177748 (35.87/col)
Thu Feb 26 14:20:08 2009  matrix includes 64 packed rows
Thu Feb 26 14:20:08 2009  using block size 21845 for processor cache size 512 kB
Thu Feb 26 14:20:08 2009  commencing Lanczos iteration
Thu Feb 26 14:20:08 2009  memory use: 9.4 MB
Thu Feb 26 14:20:43 2009  lanczos halted after 960 iterations (dim = 60599)
Thu Feb 26 14:20:43 2009  recovered 16 nontrivial dependencies
Thu Feb 26 14:20:44 2009  prp40 factor: 5206728456358460814368918326710497623619
Thu Feb 26 14:20:44 2009  prp51 factor: 816551520937130805126208331277646872665420305239041
Thu Feb 26 14:20:44 2009  elapsed time 01:47:14

2404765808602503142591681696452970432311307864677269497731868612340820899601027490845493796797289173088484451<109>

15072748997352795060939680449363695294889116749<47>
159543943113817436805969360550316504075555966470480954857298799<63>

Number: 48883_111
N=2404765808602503142591681696452970432311307864677269497731868612340820899601027490845493796797289173088484451
  ( 109 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=15072748997352795060939680449363695294889116749
 r2=159543943113817436805969360550316504075555966470480954857298799
Version: 
Total time: 0.55 hours.
Scaled time: 1.31 units (timescale=2.380).
Factorization parameters were as follows:
n: 2404765808602503142591681696452970432311307864677269497731868612340820899601027490845493796797289173088484451
m: 20000000000000000000000
deg: 5
c5: 55
c0: -212
skew: 1.31
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [200000, 400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 1137031
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51705 x 51933
Total sieving time: 0.50 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,400000,400000,25,25,45,45,2.2,2.2,25000
total time: 0.55 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

64763403372051254345862180645606745671444139005957866904918665429237488531590248316682524769830667499<101>

105879858460003669738444647465173<33>
611668775478348043887642134207958264068062222551430503567302962499263<69>

Number: 48883_124
N=64763403372051254345862180645606745671444139005957866904918665429237488531590248316682524769830667499
  ( 101 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=105879858460003669738444647465173
 r2=611668775478348043887642134207958264068062222551430503567302962499263
Version: 
Total time: 2.66 hours.
Scaled time: 2.09 units (timescale=0.787).
Factorization parameters were as follows:
n: 64763403372051254345862180645606745671444139005957866904918665429237488531590248316682524769830667499
m: 10000000000000000000000000
deg: 5
c5: 22
c0: -265
skew: 1.64
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor 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 : 114200 x 114440
Total sieving time: 2.66 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,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 2.66 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

44032561758547617341803247676823990868053192972587863182516175908299645509602916744544203602831<95>

21359195843830967403453380962112507429977<41>
2061527132411459461397036590954458932353735933027377703<55>

Thu Feb 26 12:35:45 2009  
Thu Feb 26 12:35:45 2009  
Thu Feb 26 12:35:45 2009  Msieve v. 1.39
Thu Feb 26 12:35:45 2009  random seeds: 4e3e03e0 16ce5ef6
Thu Feb 26 12:35:45 2009  factoring 44032561758547617341803247676823990868053192972587863182516175908299645509602916744544203602831 (95 digits)
Thu Feb 26 12:35:45 2009  searching for 15-digit factors
Thu Feb 26 12:35:46 2009  commencing quadratic sieve (95-digit input)
Thu Feb 26 12:35:46 2009  using multiplier of 1
Thu Feb 26 12:35:46 2009  using 64kb Opteron sieve core
Thu Feb 26 12:35:46 2009  sieve interval: 18 blocks of size 65536
Thu Feb 26 12:35:46 2009  processing polynomials in batches of 6
Thu Feb 26 12:35:46 2009  using a sieve bound of 2162071 (79710 primes)
Thu Feb 26 12:35:46 2009  using large prime bound of 324310650 (28 bits)
Thu Feb 26 12:35:46 2009  using double large prime bound of 2087998231332900 (43-51 bits)
Thu Feb 26 12:35:46 2009  using trial factoring cutoff of 51 bits
Thu Feb 26 12:35:46 2009  polynomial 'A' values have 12 factors
Thu Feb 26 14:29:17 2009  79910 relations (20477 full + 59433 combined from 1182055 partial), need 79806
Thu Feb 26 14:29:19 2009  begin with 1202532 relations
Thu Feb 26 14:29:20 2009  reduce to 204460 relations in 10 passes
Thu Feb 26 14:29:20 2009  attempting to read 204460 relations
Thu Feb 26 14:29:23 2009  recovered 204460 relations
Thu Feb 26 14:29:23 2009  recovered 182671 polynomials
Thu Feb 26 14:29:23 2009  attempting to build 79910 cycles
Thu Feb 26 14:29:23 2009  found 79910 cycles in 5 passes
Thu Feb 26 14:29:24 2009  distribution of cycle lengths:
Thu Feb 26 14:29:24 2009     length 1 : 20477
Thu Feb 26 14:29:24 2009     length 2 : 14443
Thu Feb 26 14:29:24 2009     length 3 : 13675
Thu Feb 26 14:29:24 2009     length 4 : 10718
Thu Feb 26 14:29:24 2009     length 5 : 7849
Thu Feb 26 14:29:24 2009     length 6 : 5123
Thu Feb 26 14:29:24 2009     length 7 : 3277
Thu Feb 26 14:29:24 2009     length 9+: 4348
Thu Feb 26 14:29:24 2009  largest cycle: 21 relations
Thu Feb 26 14:29:24 2009  matrix is 79710 x 79910 (21.1 MB) with weight 5207940 (65.17/col)
Thu Feb 26 14:29:24 2009  sparse part has weight 5207940 (65.17/col)
Thu Feb 26 14:29:25 2009  filtering completed in 3 passes
Thu Feb 26 14:29:25 2009  matrix is 75065 x 75129 (20.0 MB) with weight 4934428 (65.68/col)
Thu Feb 26 14:29:25 2009  sparse part has weight 4934428 (65.68/col)
Thu Feb 26 14:29:25 2009  saving the first 48 matrix rows for later
Thu Feb 26 14:29:25 2009  matrix is 75017 x 75129 (13.0 MB) with weight 3925757 (52.25/col)
Thu Feb 26 14:29:25 2009  sparse part has weight 2952697 (39.30/col)
Thu Feb 26 14:29:25 2009  matrix includes 64 packed rows
Thu Feb 26 14:29:25 2009  using block size 30051 for processor cache size 1024 kB
Thu Feb 26 14:29:26 2009  commencing Lanczos iteration
Thu Feb 26 14:29:26 2009  memory use: 12.2 MB
Thu Feb 26 14:30:04 2009  lanczos halted after 1188 iterations (dim = 75016)
Thu Feb 26 14:30:04 2009  recovered 17 nontrivial dependencies
Thu Feb 26 14:30:05 2009  prp41 factor: 21359195843830967403453380962112507429977
Thu Feb 26 14:30:05 2009  prp55 factor: 2061527132411459461397036590954458932353735933027377703
Thu Feb 26 14:30:05 2009  elapsed time 01:54:20

30608860635742654933980094618371424703761115776636432481511316570990030268286904377930692261821975632452045301747427793<119>

11596514298237038639067575234023927441349<41>
2639488026190419162144058720175270446979675692915179501209940086668045827264157<79>

Number: 48883_128
N=30608860635742654933980094618371424703761115776636432481511316570990030268286904377930692261821975632452045301747427793
  ( 119 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=11596514298237038639067575234023927441349
 r2=2639488026190419162144058720175270446979675692915179501209940086668045827264157
Version: 
Total time: 2.71 hours.
Scaled time: 2.57 units (timescale=0.950).
Factorization parameters were as follows:
n: 30608860635742654933980094618371424703761115776636432481511316570990030268286904377930692261821975632452045301747427793
m: 100000000000000000000000000
deg: 5
c5: 11
c0: -1325
skew: 2.61
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 : 164487 x 164734
Total sieving time: 2.71 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: 2.71 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

4357952949637687480439860834487236713464822412626922260738831005387602493757440039797623836283296431890596931127341<115>

105441685305072759250343963660885215379364893<45>
41330456138185682306653571302025199180323207767883057670613596493709137<71>

Number: 48883_129
N=4357952949637687480439860834487236713464822412626922260738831005387602493757440039797623836283296431890596931127341
  ( 115 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=105441685305072759250343963660885215379364893
 r2=41330456138185682306653571302025199180323207767883057670613596493709137
Version: 
Total time: 2.55 hours.
Scaled time: 2.54 units (timescale=0.997).
Factorization parameters were as follows:
n: 4357952949637687480439860834487236713464822412626922260738831005387602493757440039797623836283296431890596931127341
m: 100000000000000000000000000
deg: 5
c5: 22
c0: -265
skew: 1.64
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 890001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 138240 x 138488
Total sieving time: 2.55 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,131,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 2.55 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<133>

1110220553312655297808882682723776743181104103<46>
4403529437733352862117465895923540771817098994724462891230371415746741912312872108706261<88>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883 (133 digits)
Using B1=20000000, B2=59950304286, polynomial Dickson(12), sigma=2504866877
Step 1 took 257030ms
Step 2 took 84305ms
********** Factor found in step 2: 1110220553312655297808882682723776743181104103
Found probable prime factor of 46 digits: 1110220553312655297808882682723776743181104103
Probable prime cofactor 4403529437733352862117465895923540771817098994724462891230371415746741912312872108706261 has 88 digits

143686827011691925346526157094251099188322446463017116723156638837921518214692501721207858184843360138281649003357941<117>

332560041044241248900484291976845162767167<42>
432062813561467316727657432335915267712627225383416457686955661487805189323<75>

Number: 48883_135
N=143686827011691925346526157094251099188322446463017116723156638837921518214692501721207858184843360138281649003357941
  ( 117 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=332560041044241248900484291976845162767167 (pp42)
 r2=432062813561467316727657432335915267712627225383416457686955661487805189323 (pp75)
Version: Msieve-1.39
Total time: 3.60 hours.
Scaled time: 9.25 units (timescale=2.571).
Factorization parameters were as follows:
n: 143686827011691925346526157094251099188322446463017116723156638837921518214692501721207858184843360138281649003357941
m: 1000000000000000000000000000
deg: 5
c5: 44
c0: -53
skew: 1.04
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1265001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 190904 x 191152
Total sieving time: 3.60 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,136,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 3.60 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

3154343958053389376334984624566041695442685230963101653023859921211386889423050385418406800432231574239119049<109>

6199736064021385889457145645067<31>

508786813741771010621372438944508866566847913331596410044410894001651984362747<78>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 3154343958053389376334984624566041695442685230963101653023859921211386889423050385418406800432231574239119049 (109 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1434853449
Step 1 took 3287ms
Step 2 took 1989ms
********** Factor found in step 2: 6199736064021385889457145645067
Found probable prime factor of 31 digits: 6199736064021385889457145645067
Composite cofactor 508786813741771010621372438944508866566847913331596410044410894001651984362747 has 78 digits

Core 2 Quad Q6700

508786813741771010621372438944508866566847913331596410044410894001651984362747<78>

8369302132878724900360524015317<31>
60792023715215966066345455742641376351243291791<47>

GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 508786813741771010621372438944508866566847913331596410044410894001651984362747 (78 digits)
Using B1=452000, B2=347971482, polynomial Dickson(3), sigma=880082943
Step 1 took 3437ms
Step 2 took 1875ms
********** Factor found in step 2: 8369302132878724900360524015317
Found probable prime factor of 31 digits: 8369302132878724900360524015317
Probable prime cofactor 60792023715215966066345455742641376351243291791 has 47 digits

22703739585359152834153630462313097456102458702056872748467242203681433200574940099692377148680851774990929417252110879730588707<128>

3166361761003036680303142908682110958372709395350709<52>
7170292373088502235906232820143055411742367312635436307677957012591149333623<76>

Number: 48883_143
N=22703739585359152834153630462313097456102458702056872748467242203681433200574940099692377148680851774990929417252110879730588707
  ( 128 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=3166361761003036680303142908682110958372709395350709 (pp52)
 r2=7170292373088502235906232820143055411742367312635436307677957012591149333623 (pp76)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 19.94 hours.
Scaled time: 9.41 units (timescale=0.472).
Factorization parameters were as follows:
name: 48883_143
n: 22703739585359152834153630462313097456102458702056872748467242203681433200574940099692377148680851774990929417252110879730588707
m: 100000000000000000000000000000
deg: 5
c5: 11
c0: -1325
skew: 2.61
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:142523, largePrimes:4104424 encountered
Relations: rels:4229370, finalFF:348448
Max relations in full relation-set: 28
Initial matrix: 284618 x 348448 with sparse part having weight 35413561.
Pruned matrix : 262138 x 263625 with weight 24173663.
Total sieving time: 17.49 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.14 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 2.4GHz, Windows XP and Cygwin)

143472952596491781054853177023595303753457066690313745153344570376869567149465397211683238998531186432590885097236794256571770660035621060553<141>

1223424440156560969442482741818564284725731966756254692657813<61>
117271609007689616091476396520146862786413933843883272607744325347034802241242981<81>

Number: 48883_151
N=143472952596491781054853177023595303753457066690313745153344570376869567149465397211683238998531186432590885097236794256571770660035621060553
  ( 141 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=1223424440156560969442482741818564284725731966756254692657813
 r2=117271609007689616091476396520146862786413933843883272607744325347034802241242981
Version: 
Total time: 20.66 hours.
Scaled time: 52.98 units (timescale=2.564).
Factorization parameters were as follows:
name: 48883_151
n: 143472952596491781054853177023595303753457066690313745153344570376869567149465397211683238998531186432590885097236794256571770660035621060553
m: 2000000000000000000000000000000
deg: 5
c5: 55
c0: -212
skew: 1.31
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 : 441545 x 441793
Total sieving time: 20.66 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,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 20.66 hours.
 --------- CPU info (if available) ----------

55772046796889604611565433373184869108095366970314153076733218930415322606287422908723895375387076542638241231242160565438609419535425162563569787<146>

200326200647338176783717118787364154206526143935667093756398611<63>
278406152648363885257167153873463163169044380062157145420913892618617561178604359417<84>

Number: 48883_153
N=55772046796889604611565433373184869108095366970314153076733218930415322606287422908723895375387076542638241231242160565438609419535425162563569787
  ( 146 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=200326200647338176783717118787364154206526143935667093756398611
 r2=278406152648363885257167153873463163169044380062157145420913892618617561178604359417
Version: 
Total time: 21.35 hours.
Scaled time: 54.53 units (timescale=2.554).
Factorization parameters were as follows:
name: 48883_153
n: 55772046796889604611565433373184869108095366970314153076733218930415322606287422908723895375387076542638241231242160565438609419535425162563569787
m: 10000000000000000000000000000000
deg: 5
c5: 11
c0: -1325
skew: 2.61
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 556380 x 556627
Total sieving time: 21.35 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 21.35 hours.
 --------- CPU info (if available) ----------

3904548555183361474972152974898301500498034441516456316616201170811593739854587975847222604768148422814799459053584850965755880391863655682531856151<148>

22678645829390954202749404051050551174900006487478899476556840123289<68>
172168505322445876370816162423063654892260575030429034434333933237155428621798959<81>

Number: 48883_156
N=3904548555183361474972152974898301500498034441516456316616201170811593739854587975847222604768148422814799459053584850965755880391863655682531856151
  ( 148 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=22678645829390954202749404051050551174900006487478899476556840123289 (pp68)
 r2=172168505322445876370816162423063654892260575030429034434333933237155428621798959 (pp81)
Version: Msieve-1.39
Total time: 25.70 hours.
Scaled time: 66.08 units (timescale=2.571).
Factorization parameters were as follows:
n: 3904548555183361474972152974898301500498034441516456316616201170811593739854587975847222604768148422814799459053584850965755880391863655682531856151
m: 20000000000000000000000000000000
deg: 5
c5: 55
c0: -212
skew: 1.31
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 569817 x 570065
Total sieving time: 25.70 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 25.70 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

316401814297965907394291797154972600399998639673545127845303781978003377261891752987666719911842619277112628571479923032120541297983200838818775228405179<153>

270753400153194627352563532766388049026002628614359930789354579172611<69>
1168597750273654958778265117257632928376975109003170721228878788746067186593553414889<85>

Number: 48883_161
N=316401814297965907394291797154972600399998639673545127845303781978003377261891752987666719911842619277112628571479923032120541297983200838818775228405179
  ( 153 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=270753400153194627352563532766388049026002628614359930789354579172611 (pp69)
 r2=1168597750273654958778265117257632928376975109003170721228878788746067186593553414889 (pp85)
Version: Msieve-1.39
Total time: 38.09 hours.
Scaled time: 97.94 units (timescale=2.571).
Factorization parameters were as follows:
n: 316401814297965907394291797154972600399998639673545127845303781978003377261891752987666719911842619277112628571479923032120541297983200838818775228405179
m: 200000000000000000000000000000000
deg: 5
c5: 55
c0: -212
skew: 1.31
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 695008 x 695256
Total sieving time: 38.09 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,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 38.09 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1598409962619200596193855594467257493982145487120616427743983492682436548094421930883169039497314160954071802200907617979095677885648999229600476844498337<154>

3409381221648677307546535609243234419019084991<46>
468826997834597142439467798015574281037728660247030807287630943512703579760743270536065940594634112718677407<108>

Number: 48883_163
N=1598409962619200596193855594467257493982145487120616427743983492682436548094421930883169039497314160954071802200907617979095677885648999229600476844498337
  ( 154 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=3409381221648677307546535609243234419019084991 (pp46)
 r2=468826997834597142439467798015574281037728660247030807287630943512703579760743270536065940594634112718677407 (pp108)
Version: Msieve-1.39
Total time: 43.07 hours.
Scaled time: 110.73 units (timescale=2.571).
Factorization parameters were as follows:
n: 1598409962619200596193855594467257493982145487120616427743983492682436548094421930883169039497314160954071802200907617979095677885648999229600476844498337
m: 1000000000000000000000000000000000
deg: 5
c5: 11
c0: -1325
skew: 2.61
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 809954 x 810202
Total sieving time: 43.07 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: 43.07 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

102942977633012101180739550347858143335187192258265597979941494870078161661437989140125181736468106633738763<108>

7862625727717047507506747886063428866231417793<46>
13092697172411652719473407661621196298322843061510254562777291<62>

Number: 48883_164
N=102942977633012101180739550347858143335187192258265597979941494870078161661437989140125181736468106633738763
  ( 108 digits)
Divisors found:
 r1=7862625727717047507506747886063428866231417793 (pp46)
 r2=13092697172411652719473407661621196298322843061510254562777291 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 21.84 hours.
Scaled time: 10.31 units (timescale=0.472).
Factorization parameters were as follows:
name: 48883_164
n: 102942977633012101180739550347858143335187192258265597979941494870078161661437989140125181736468106633738763
skew: 20692.37
# norm 1.34e+15
c5: 27600
c4: 3288080556
c3: -66558113477159
c2: -1080970303183105211
c1: 9820381395717295647051
c0: 99797268987273415522565403
# alpha -6.18
Y1: 172874243003
Y0: -326837632365735623162
# Murphy_E 1.34e-09
# M 29593209732172111755289090560667936426206250818983003423088700963706017810763694749058577282903162950489239
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: RFBsize:183072, AFBsize:183778, largePrimes:4450675 encountered
Relations: rels:4527310, finalFF:452352
Max relations in full relation-set: 28
Initial matrix: 366925 x 452352 with sparse part having weight 32939034.
Pruned matrix : 301955 x 303853 with weight 19313258.
Polynomial selection time: 1.24 hours.
Total sieving time: 17.66 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 2.44 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 21.84 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

530373080094652308503073813347489472998405144040288103478680870539908946996081386713455215477925812136792378345976101630089607737275355359004113645932815954393701<162>

240176965948327227964428493955389903582874479604862156178867<60>
2208259555617665688706709242812968313599814381853752897676508469902040009732755649720367881553125991303<103>

Number: 48883_167
N=530373080094652308503073813347489472998405144040288103478680870539908946996081386713455215477925812136792378345976101630089607737275355359004113645932815954393701
  ( 162 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=240176965948327227964428493955389903582874479604862156178867 (pp60)
 r2=2208259555617665688706709242812968313599814381853752897676508469902040009732755649720367881553125991303 (pp103)
Version: Msieve-1.39
Total time: 59.50 hours.
Scaled time: 152.96 units (timescale=2.571).
Factorization parameters were as follows:
n: 530373080094652308503073813347489472998405144040288103478680870539908946996081386713455215477925812136792378345976101630089607737275355359004113645932815954393701
m: 2000000000000000000000000000000000
deg: 5
c5: 275
c0: -106
skew: 0.83
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 954960 x 955207
Total sieving time: 59.50 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,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 59.50 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1885918487279731334844061215429615053174211390022725930251012918160514773580971772193004553379869884756817593843749606903596980083631836398459<142>

489641797116893462699294028241035350517514338379<48>
3851628881325874837178721243483272939017889163594114474066555739511475683749623855910191557521<94>

Number: 48883_169
N=1885918487279731334844061215429615053174211390022725930251012918160514773580971772193004553379869884756817593843749606903596980083631836398459
  ( 142 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=489641797116893462699294028241035350517514338379
 r2=3851628881325874837178721243483272939017889163594114474066555739511475683749623855910191557521
Version: 
Total time: 33.52 hours.
Scaled time: 78.24 units (timescale=2.334).
Factorization parameters were as follows:
n: 1885918487279731334844061215429615053174211390022725930251012918160514773580971772193004553379869884756817593843749606903596980083631836398459
m: 10000000000000000000000000000000000
deg: 5
c5: 22
c0: -265
skew: 1.64
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11061459
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 921196 x 921444
Total sieving time: 30.41 hours.
Total relation processing time: 0.79 hours.
Matrix solve time: 1.88 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 33.52 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672349)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

52946576002580636960528842851208189219741647489968588151776737420461266890367768097054339727229323615058818228881279646734337015730796232832869667532043381<155>

2292642669168448055304163075564111519<37>
309383401453904318103572359005677794938603540643389041<54>
74645649139320830256619174883931685521648798111908759101775184539<65>

Number: 48883_170
N=52946576002580636960528842851208189219741647489968588151776737420461266890367768097054339727229323615058818228881279646734337015730796232832869667532043381
  ( 155 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=2292642669168448055304163075564111519 (pp37)
 r2=309383401453904318103572359005677794938603540643389041 (pp54)
 r3=74645649139320830256619174883931685521648798111908759101775184539 (pp65)
Version: Msieve-1.40
Total time: 56.02 hours.
Scaled time: 97.42 units (timescale=1.739).
Factorization parameters were as follows:
n: 52946576002580636960528842851208189219741647489968588151776737420461266890367768097054339727229323615058818228881279646734337015730796232832869667532043381
m: 10000000000000000000000000000000000
deg: 5
c5: 44
c0: -53
skew: 1.04
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 948199 x 948447
Total sieving time: 54.23 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.15 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 56.02 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<172>

75059015380479339613706194125465158146139625871231697571901<59>
65133933133905008261265014533189153316103348018734416649842781849800236873376647775219658789236125956277334331183<113>

Number: 48883_171
N=4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
  ( 172 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=75059015380479339613706194125465158146139625871231697571901 (pp59)
 r2=65133933133905008261265014533189153316103348018734416649842781849800236873376647775219658789236125956277334331183 (pp113)
Version: Msieve-1.39
Total time: 84.05 hours.
Scaled time: 146.16 units (timescale=1.739).
Factorization parameters were as follows:
n: 4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
m: 20000000000000000000000000000000000
deg: 5
c5: 55
c0: -212
skew: 1.31
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1078148 x 1078396
Total sieving time: 84.05 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,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 84.05 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

4120196318215502492045729973979201797354695244352477644779531666992825446451085293391156602887675116080907781955694267416539581971019461052333145856805771<154>

8274132125637981019642431638358582031<37>
497961146335672362998939131480651464836116764555333720012606499722473170434220748130283332761885239826833048747417541<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2501932875
Step 1 took 22729ms
Step 2 took 16505ms
********** Factor found in step 2: 8274132125637981019642431638358582031
Found probable prime factor of 37 digits: 8274132125637981019642431638358582031
Probable prime cofactor 497961146335672362998939131480651464836116764555333720012606499722473170434220748130283332761885239826833048747417541 has 117 digits

GMP-ECM 6.2.3

736684667656573015982597552421435284907888653997225514461014244113521430001847759939106459507516271227963029114082946810420453252864173493929201548439880434461<159>

1646738025169843406389668036832328251433<40>

447359966428534906395938509073824559318651275810550084420644423062032276044011783334643384853448110403046696203762229717<120>

Input number is 736684667656573015982597552421435284907888653997225514461014244113521430001847759939106459507516271227963029114082946810420453252864173493929201548439880434461 (159 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2145029454
Step 1 took 11497ms
Step 2 took 4820ms
********** Factor found in step 2: 1646738025169843406389668036832328251433
Found probable prime factor of 40 digits: 1646738025169843406389668036832328251433
Composite cofactor 447359966428... has 120 digits

447359966428534906395938509073824559318651275810550084420644423062032276044011783334643384853448110403046696203762229717<120>

631146454455297945001048067446323766066036777214639296087<57>
708805322870145285625508691984841931169574013543424181830573491<63>

Wed Oct 12 07:30:06 2011  commencing relation filtering
Wed Oct 12 07:30:06 2011  estimated available RAM is 2006.1 MB
Wed Oct 12 07:30:06 2011  commencing duplicate removal, pass 1
Wed Oct 12 07:33:17 2011  found 1164595 hash collisions in 11817148 relations
Wed Oct 12 07:34:01 2011  added 1017 free relations
Wed Oct 12 07:34:01 2011  commencing duplicate removal, pass 2
Wed Oct 12 07:34:12 2011  found 817895 duplicates and 11000270 unique relations
Wed Oct 12 07:34:12 2011  memory use: 49.3 MB
Wed Oct 12 07:34:12 2011  reading ideals above 720000
Wed Oct 12 07:34:12 2011  commencing singleton removal, initial pass
Wed Oct 12 07:37:55 2011  memory use: 344.5 MB
Wed Oct 12 07:37:55 2011  reading all ideals from disk
Wed Oct 12 07:37:56 2011  memory use: 312.3 MB
Wed Oct 12 07:37:59 2011  commencing in-memory singleton removal
Wed Oct 12 07:38:02 2011  begin with 11000270 relations and 11279879 unique ideals
Wed Oct 12 07:38:34 2011  reduce to 5054285 relations and 4393578 ideals in 18 passes
Wed Oct 12 07:38:34 2011  max relations containing the same ideal: 94
Wed Oct 12 07:38:43 2011  removing 1367777 relations and 1104711 ideals in 263066 cliques
Wed Oct 12 07:38:43 2011  commencing in-memory singleton removal
Wed Oct 12 07:38:44 2011  begin with 3686508 relations and 4393578 unique ideals
Wed Oct 12 07:38:56 2011  reduce to 3454074 relations and 3041647 ideals in 11 passes
Wed Oct 12 07:38:56 2011  max relations containing the same ideal: 71
Wed Oct 12 07:39:02 2011  removing 1020326 relations and 757260 ideals in 263066 cliques
Wed Oct 12 07:39:02 2011  commencing in-memory singleton removal
Wed Oct 12 07:39:03 2011  begin with 2433748 relations and 3041647 unique ideals
Wed Oct 12 07:39:09 2011  reduce to 2226232 relations and 2060854 ideals in 9 passes
Wed Oct 12 07:39:09 2011  max relations containing the same ideal: 52
Wed Oct 12 07:39:12 2011  removing 196758 relations and 165956 ideals in 30802 cliques
Wed Oct 12 07:39:13 2011  commencing in-memory singleton removal
Wed Oct 12 07:39:13 2011  begin with 2029474 relations and 2060854 unique ideals
Wed Oct 12 07:39:17 2011  reduce to 2017116 relations and 1882378 ideals in 7 passes
Wed Oct 12 07:39:17 2011  max relations containing the same ideal: 50
Wed Oct 12 07:39:21 2011  relations with 0 large ideals: 494
Wed Oct 12 07:39:21 2011  relations with 1 large ideals: 4004
Wed Oct 12 07:39:21 2011  relations with 2 large ideals: 44930
Wed Oct 12 07:39:21 2011  relations with 3 large ideals: 204062
Wed Oct 12 07:39:21 2011  relations with 4 large ideals: 468229
Wed Oct 12 07:39:21 2011  relations with 5 large ideals: 599021
Wed Oct 12 07:39:21 2011  relations with 6 large ideals: 448585
Wed Oct 12 07:39:21 2011  relations with 7+ large ideals: 247791
Wed Oct 12 07:39:21 2011  commencing 2-way merge
Wed Oct 12 07:39:25 2011  reduce to 1235948 relation sets and 1101210 unique ideals
Wed Oct 12 07:39:25 2011  commencing full merge
Wed Oct 12 07:40:06 2011  memory use: 124.4 MB
Wed Oct 12 07:40:07 2011  found 611206 cycles, need 593410
Wed Oct 12 07:40:07 2011  weight of 593410 cycles is about 41856047 (70.53/cycle)
Wed Oct 12 07:40:07 2011  distribution of cycle lengths:
Wed Oct 12 07:40:07 2011  1 relations: 66490
Wed Oct 12 07:40:07 2011  2 relations: 62048
Wed Oct 12 07:40:07 2011  3 relations: 64128
Wed Oct 12 07:40:07 2011  4 relations: 61191
Wed Oct 12 07:40:07 2011  5 relations: 56695
Wed Oct 12 07:40:07 2011  6 relations: 51878
Wed Oct 12 07:40:07 2011  7 relations: 44951
Wed Oct 12 07:40:07 2011  8 relations: 39383
Wed Oct 12 07:40:07 2011  9 relations: 32777
Wed Oct 12 07:40:07 2011  10+ relations: 113869
Wed Oct 12 07:40:07 2011  heaviest cycle: 19 relations
Wed Oct 12 07:40:07 2011  commencing cycle optimization
Wed Oct 12 07:40:10 2011  start with 3549335 relations
Wed Oct 12 07:40:23 2011  pruned 93690 relations
Wed Oct 12 07:40:23 2011  memory use: 116.1 MB
Wed Oct 12 07:40:23 2011  distribution of cycle lengths:
Wed Oct 12 07:40:23 2011  1 relations: 66490
Wed Oct 12 07:40:23 2011  2 relations: 63494
Wed Oct 12 07:40:23 2011  3 relations: 66443
Wed Oct 12 07:40:23 2011  4 relations: 62830
Wed Oct 12 07:40:23 2011  5 relations: 58350
Wed Oct 12 07:40:23 2011  6 relations: 53035
Wed Oct 12 07:40:23 2011  7 relations: 45824
Wed Oct 12 07:40:23 2011  8 relations: 39500
Wed Oct 12 07:40:23 2011  9 relations: 32856
Wed Oct 12 07:40:23 2011  10+ relations: 104588
Wed Oct 12 07:40:23 2011  heaviest cycle: 19 relations
Wed Oct 12 07:40:26 2011  RelProcTime: 620
Wed Oct 12 07:40:26 2011
Wed Oct 12 07:40:26 2011  commencing linear algebra
Wed Oct 12 07:40:26 2011  read 593410 cycles
Wed Oct 12 07:40:28 2011  cycles contain 1923428 unique relations
Wed Oct 12 07:41:04 2011  read 1923428 relations
Wed Oct 12 07:41:09 2011  using 20 quadratic characters above 134213334
Wed Oct 12 07:41:39 2011  building initial matrix
Wed Oct 12 07:42:28 2011  memory use: 246.9 MB
Wed Oct 12 07:42:30 2011  read 593410 cycles
Wed Oct 12 07:42:30 2011  matrix is 593226 x 593410 (179.7 MB) with weight 57520682 (96.93/col)
Wed Oct 12 07:42:30 2011  sparse part has weight 39978664 (67.37/col)
Wed Oct 12 07:42:51 2011  filtering completed in 2 passes
Wed Oct 12 07:42:52 2011  matrix is 592221 x 592405 (179.6 MB) with weight 57470876 (97.01/col)
Wed Oct 12 07:42:52 2011  sparse part has weight 39959815 (67.45/col)
Wed Oct 12 07:42:56 2011  matrix starts at (0, 0)
Wed Oct 12 07:42:56 2011  matrix is 592221 x 592405 (179.6 MB) with weight 57470876 (97.01/col)
Wed Oct 12 07:42:56 2011  sparse part has weight 39959815 (67.45/col)
Wed Oct 12 07:42:56 2011  saving the first 48 matrix rows for later
Wed Oct 12 07:42:56 2011  matrix includes 64 packed rows
Wed Oct 12 07:42:56 2011  matrix is 592173 x 592405 (173.5 MB) with weight 45738314 (77.21/col)
Wed Oct 12 07:42:56 2011  sparse part has weight 39548082 (66.76/col)
Wed Oct 12 07:42:56 2011  using block size 65536 for processor cache size 2048 kB
Wed Oct 12 07:43:01 2011  commencing Lanczos iteration (8 threads)
Wed Oct 12 07:43:01 2011  memory use: 164.9 MB
Wed Oct 12 07:43:16 2011  linear algebra at 0.5%, ETA 0h45m
Wed Oct 12 08:27:43 2011  lanczos halted after 9366 iterations (dim = 592172)
Wed Oct 12 08:27:45 2011  recovered 29 nontrivial dependencies
Wed Oct 12 08:27:45 2011  BLanczosTime: 2839
Wed Oct 12 08:27:45 2011
Wed Oct 12 08:27:45 2011  commencing square root phase
Wed Oct 12 08:27:45 2011  reading relations for dependency 1
Wed Oct 12 08:27:45 2011  read 296147 cycles
Wed Oct 12 08:27:46 2011  cycles contain 959930 unique relations
Wed Oct 12 08:28:06 2011  read 959930 relations
Wed Oct 12 08:28:16 2011  multiplying 959930 relations
Wed Oct 12 08:30:19 2011  multiply complete, coefficients have about 40.86 million bits
Wed Oct 12 08:30:20 2011  initial square root is modulo 735491
Wed Oct 12 08:32:52 2011  sqrtTime: 307

prp57 = 631146454455297945001048067446323766066036777214639296087
prp63 = 708805322870145285625508691984841931169574013543424181830573491
NFS elapsed time = 45462.8101 seconds.

32830720153135849851160699033752882105393552404267543242119377917037932678980220736436643277367707533086861327930596609718223412526842872469569725931588081051488038624423<170>

1120886185472502001745151703357521756546592160242547383371669935652279998112137<79>
29289967686858663074760949091003398222965290677896735780680947302188023023471760375590088879<92>

N=32830720153135849851160699033752882105393552404267543242119377917037932678980220736436643277367707533086861327930596609718223412526842872469569725931588081051488038624423
  ( 170 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=1120886185472502001745151703357521756546592160242547383371669935652279998112137 (pp79)
 r2=29289967686858663074760949091003398222965290677896735780680947302188023023471760375590088879 (pp92)
Version: Msieve v. 1.47
Total time:
Scaled time: 11.45 units (timescale=1.885).
Factorization parameters were as follows:
n: 32830720153135849851160699033752882105393552404267543242119377917037932678980220736436643277367707533086861327930596609718223412526842872469569725931588081051488038624423
m: 100000000000000000000000000000000000
deg: 5
c5: 4400
c0: -53
skew: 0.41
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 9200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1560991 x 1561239
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time:

255374605235841059721034585208668040930280933540442138179600432767092381937563114527791170434631907396989284307445255084697019215371972555819810232291642906671435207022615917<174>

2243624887279444668820667858985640296967<40>
113822326844261831051636941861630872675671228992810312842270222656505481319312290957790096081428671498059445557567204011295878387791851<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1181267836
Step 1 took 17561ms
Step 2 took 6913ms
********** Factor found in step 2: 2243624887279444668820667858985640296967
Found probable prime factor of 40 digits: 2243624887279444668820667858985640296967
Probable prime cofactor 113822326844261831051636941861630872675671228992810312842270222656505481319312290957790096081428671498059445557567204011295878387791851 has 135 digits

GMP-ECM 6.2.3

1252747876927273663343656093020337622715980894042605754365567664566086626537131010787406141286841934415354821280977389120750605494121<133>

454791431804520819202376496434291939610407<42>
2754554702045775919458848258225423598001020658695274456207504314361318996282302528688254703<91>

Number: n
N=1252747876927273663343656093020337622715980894042605754365567664566086626537131010787406141286841934415354821280977389120750605494121
  ( 133 digits)
Divisors found:

Fri Apr 20 19:34:08 2012  prp42 factor: 454791431804520819202376496434291939610407
Fri Apr 20 19:34:08 2012  prp91 factor: 2754554702045775919458848258225423598001020658695274456207504314361318996282302528688254703
Fri Apr 20 19:34:08 2012  elapsed time 01:57:02 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
name: KA_48883_180
n: 1252747876927273663343656093020337622715980894042605754365567664566086626537131010787406141286841934415354821280977389120750605494121
skew: 466130.70
# norm 1.14e+19
c5: 13440
c4: 5446843020
c3: -108395935074264662
c2: -915425896729491594769
c1: 1359125296031683108122154208
c0: 4895503544560437840126550109131
# alpha -6.36
Y1: 649336435421531
Y0: -39254757539297078431678524
# Murphy_E 5.03e-11
# M 449574590986688221836257553045915408643720562894248982427583379212112476315325479753894121571172395406796616064531530886319789648491
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 27600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3482301 hash collisions in 14594475 relations
Msieve: matrix is 1182933 x 1183158 (343.0 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:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

164367727914335849634023654667022730498639204623697956327093486479646577916035542687714182846664380333985159334225873256815292198715802936053878931325696295418846575446933419<174>

75136561911297362615670255660147492574552848557375430721<56>
2187586492290937413486719444905461791044107233512907002040688197991671022637988608310033892768255015869817622481839339<118>

Number: n
N=164367727914335849634023654667022730498639204623697956327093486479646577916035542687714182846664380333985159334225873256815292198715802936053878931325696295418846575446933419
  ( 174 digits)
SNFS difficulty: 182 digits.
Divisors found:

Thu Jan 19 22:15:49 2012  prp56 factor: 75136561911297362615670255660147492574552848557375430721
Thu Jan 19 22:15:49 2012  prp118 factor: 2187586492290937413486719444905461791044107233512907002040688197991671022637988608310033892768255015869817622481839339
Thu Jan 19 22:15:49 2012  elapsed time 02:22:45 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_48883_181
n: 164367727914335849634023654667022730498639204623697956327093486479646577916035542687714182846664380333985159334225873256815292198715802936053878931325696295418846575446933419
m: 1000000000000000000000000000000000000
deg: 5
c5: 440
c0: -53
skew: 0.65
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6421560 hash collisions in 76000093 relations
Msieve: matrix is 1110096 x 1110332 (309.6 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,182,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

85988713119497862045620535672181980063666065134648889925148837778150384093793783712886712664122370005157538558412475747216942994598688633379831163242600774304662420131<167>

589686159402410994428222555154135842501780156403860701269031<60>
145821148671081202365858929875238980696883296255099646054295477486284086346133713761870008301935995022008101<108>

Number: n
N=85988713119497862045620535672181980063666065134648889925148837778150384093793783712886712664122370005157538558412475747216942994598688633379831163242600774304662420131
  ( 167 digits)
SNFS difficulty: 183 digits.
Divisors found:

Mon Jan 23 11:51:19 2012  prp60 factor: 589686159402410994428222555154135842501780156403860701269031
Mon Jan 23 11:51:19 2012  prp108 factor: 145821148671081202365858929875238980696883296255099646054295477486284086346133713761870008301935995022008101
Mon Jan 23 11:51:19 2012  elapsed time 02:31:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.623).
Factorization parameters were as follows:
name: KA_48883_182
n: 85988713119497862045620535672181980063666065134648889925148837778150384093793783712886712664122370005157538558412475747216942994598688633379831163242600774304662420131
m: 1000000000000000000000000000000000000
deg: 5
c5: 4400
c0: -53
skew: 0.41
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6532427 hash collisions in 76000092 relations
Msieve: matrix is 1123271 x 1123506 (315.7 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,183,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

4771189358527673345090500319339661684702319261386636447532099685569219861267591347649225628750687053842985877348789439907334515471619066057277913328731341193071229757044617361<175>

767742939148627762079368459706683733832808849470502181966933159177364459441832460081<84>
6214566250285001020395797094371266219688163848721614504375468445551084260673527950862806881<91>

Number: n
N=4771189358527673345090500319339661684702319261386636447532099685569219861267591347649225628750687053842985877348789439907334515471619066057277913328731341193071229757044617361
  ( 175 digits)
SNFS difficulty: 184 digits.
Divisors found:

Mon Jan 23 21:45:02 2012  prp84 factor: 767742939148627762079368459706683733832808849470502181966933159177364459441832460081
Mon Jan 23 21:45:02 2012  prp91 factor: 6214566250285001020395797094371266219688163848721614504375468445551084260673527950862806881
Mon Jan 23 21:45:02 2012  elapsed time 02:25:42 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_48883_183
n: 4771189358527673345090500319339661684702319261386636447532099685569219861267591347649225628750687053842985877348789439907334515471619066057277913328731341193071229757044617361
m: 2000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -53
skew: 0.52
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6634630 hash collisions in 76000093 relations
Msieve: matrix is 1133875 x 1134109 (318.0 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,184,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

3257780547485647306159019001698790748121392105136099396246046655578228176676266199500131211318916253361160798008824095727455646326714056807656731275653973648550802039<166>

3275059886726181835948298329609<31>

994723962358499857034906620862728673988094292020798804741202761600110750319416879898539770636399696812517190866205397904655376811142271<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2168286000
Step 1 took 60065ms
Step 2 took 23736ms
********** Factor found in step 2: 3275059886726181835948298329609
Found probable prime factor of 31 digits: 3275059886726181835948298329609
Composite cofactor 994723962358499857034906620862728673988094292020798804741202761600110750319416879898539770636399696812517190866205397904655376811142271 has 135 digits

994723962358499857034906620862728673988094292020798804741202761600110750319416879898539770636399696812517190866205397904655376811142271<135>

6256510145996362082958480243266946263409527401215790499<55>
158990226043993416116113998030010609409970962586871491961011726622634241325882229<81>

Number: n
N=994723962358499857034906620862728673988094292020798804741202761600110750319416879898539770636399696812517190866205397904655376811142271
  ( 135 digits)
Divisors found:

Sat Jun  2 18:53:05 2012  prp55 factor: 6256510145996362082958480243266946263409527401215790499
Sat Jun  2 18:53:05 2012  prp81 factor: 158990226043993416116113998030010609409970962586871491961011726622634241325882229
Sat Jun  2 18:53:05 2012  elapsed time 03:32:24 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
name: KA_48883_184
n: 994723962358499857034906620862728673988094292020798804741202761600110750319416879898539770636399696812517190866205397904655376811142271
skew: 148368.24
# norm 3.55e+18
c5: 251940
c4: -435850147475
c3: 20569249426545260
c2: 6524594676440782604842
c1: 174048437903217634073646246
c0: 3419870484660606919434773537487
# alpha -6.16
Y1: 301619758756393
Y0: -83038909419543176184863716
# Murphy_E 4.01e-11
# M 687144569722842117712525198400289552564507679073123009029318925216852353368165009851311917926428598151973599694994076355702997401437402
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 14320000)
Primes: RFBsize:1270607, AFBsize:1269127,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2283465 hash collisions in 25397797 relations (24106434 unique)
Msieve: matrix is 1572519 x 1572747 (454.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,134,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1935215393510587228105136892621526506332949071084492603905336542246680105603602769767575919116240859855568496235333038527155216639920690971<139>

86863572238613514718554790150891876403326983275520481687037<59>
22278791254342689743698633048225321479009052102901407004956325052893536636993783<80>

Number: 48883_185
N=1935215393510587228105136892621526506332949071084492603905336542246680105603602769767575919116240859855568496235333038527155216639920690971
  ( 139 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=86863572238613514718554790150891876403326983275520481687037
 r2=22278791254342689743698633048225321479009052102901407004956325052893536636993783
Version: 
Total time: 78.21 hours.
Scaled time: 400.82 units (timescale=5.125).
Factorization parameters were as follows:
n: 1935215393510587228105136892621526506332949071084492603905336542246680105603602769767575919116240859855568496235333038527155216639920690971
m: 10000000000000000000000000000000000000
deg: 5
c5: 44
c0: -53
skew: 1.04
# Murphy_E = 5.662e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20471330
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1682285 x 1682533
Total sieving time: 72.58 hours.
Total relation processing time: 1.88 hours.
Matrix solve time: 3.64 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 78.21 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

12614755649164782466540222910737758806084638766402918107791130147423050315030368871682696888882424720052402360964175401006330011604757129026872400489<149>

701369152041563796496762336543809445054711<42>
17985900310051304004659440594685576140243299518731610155117273367341715876545295331735286665230320310583199<107>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2943128529
Step 1 took 37492ms
Step 2 took 23846ms
********** Factor found in step 2: 701369152041563796496762336543809445054711
Found probable prime factor of 42 digits: 701369152041563796496762336543809445054711
Probable prime cofactor 

45638138437973013492596078843766259837926190459949953214590130368814540302751735217948318552226546998130335694062331080219532516545520457732377405364949260184463<161>

2232455664560776338267003828690523973811368099856088699<55>
20443021181767599453285109956731846085576193839936868405507531571162679062967757049724419159316034160477437<107>

45638138437973013492596078843766259837926190459949953214590130368814540302751735217948318552226546998130335694062331080219532516545520457732377405364949260184463=2232455664560776338267003828690523973811368099856088699*20443021181767599453285109956731846085576193839936868405507531571162679062967757049724419159316034160477437

cado polynomial
n: 45638138437973013492596078843766259837926190459949953214590130368814540302751735217948318552226546998130335694062331080219532516545520457732377405364949260184463
skew: 1.64
type: snfs
c0: -265
c5: 22
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 22*x^5-265
# 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.sqrt.threads = 2
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 20443021181767599453285109956731846085576193839936868405507531571162679062967757049724419159316034160477437 2232455664560776338267003828690523973811368099856088699
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.68/2.07035
Info:Generate Free Relations: Total cpu/real time for freerel: 101.9/26.3745
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25304915
Info:Lattice Sieving: Average J: 1894.42 for 2052485 special-q, max bucket fill -bkmult 1.0,1s:1.082870
Info:Lattice Sieving: Total time: 456918s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.93/58.834
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.400000000000006s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 414.29/263.428
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 225.69999999999996s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 337.85/203.504
Info:Filtering - Merging: Total cpu/real time for merge: 285.21/82.2709
Info:Filtering - Merging: Total cpu/real time for replay: 76.01/66.0977
Info:Linear Algebra: Total cpu/real time for bwc: 67133.8/17301
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11147.63, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61952 iterations)
Info:Linear Algebra: Lingen CPU time 404.79, WCT time 117.23
Info:Linear Algebra: Mksol: WCT time 5924.29, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30976 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 70.63/29.2618
Info:Square Root: Total cpu/real time for sqrt: 910.08/280.301
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 935395/475835
Info:root: Cleaning up computation data in /tmp/cado.co0uj7j6
20443021181767599453285109956731846085576193839936868405507531571162679062967757049724419159316034160477437 2232455664560776338267003828690523973811368099856088699

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)

123434981228747908253162766155477493613658455895874435021964317473180777994798537677042728620665733462795724723818234767673552363009349165019288243<147>

273700621133308278581682108925097014631<39>
450985389502012939580286926664935138255294045223274690961899698742452796546026481166150404231335819913968853<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2166101701
Step 1 took 16545ms
Step 2 took 7246ms
********** Factor found in step 2: 273700621133308278581682108925097014631
Found probable prime factor of 39 digits: 273700621133308278581682108925097014631

280557019713505127480670944147422041481581838892429260444233294166044323391905804404224917351658902213738258540235945533384619537759796796541913189111723<153>

133396886663428373837032220609<30>
2103175169457846601552806103544676440988572210079484013420789074998367704348399128910180822984955341604439165177509040355947<124>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2020511789
Step 1 took 29469ms
********** Factor found in step 1: 133396886663428373837032220609
Found probable prime factor of 30 digits: 133396886663428373837032220609
Probable prime cofactor has 124 digits

GMP-ECM 6.2.1

26365957171692653677891863266750582500467251933881068942290970261301357414086232063980316415461143186148755788604731146942170602486527181827830254446238908514516170333427<170>

34330066450436359483269390009045707261<38>
768013578119873510172002593518708248309668009214948098411651751030293918325474796850889763349757958812191973867470419649033858866607<132>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=941849903
Step 1 took 59994ms
Step 2 took 23799ms
********** Factor found in step 2: 34330066450436359483269390009045707261
Found probable prime factor of 38 digits: 34330066450436359483269390009045707261
Probable prime cofactor 768013578119873510172002593518708248309668009214948098411651751030293918325474796850889763349757958812191973867470419649033858866607 has 132 digits

2999618436769525879831050046844921224757744884879879914734340227495960929288084162049692996403336912963962869728091494338846486973944129124859527449076296470877<160>

3663981044280663026294995781937850940184757<43>
154398147450023912606937706634207381717040884467979<51>
5302378319247958440584826915822320627139772894439527323268708713659<67>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1513909235
Step 1 took 86052ms
********** Factor found in step 1: 3663981044280663026294995781937850940184757
Found probable prime factor of 43 digits: 3663981044280663026294995781937850940184757
Composite cofactor 818677389571056254109471364355393674406858069159817201566020381887352954663974521382993574581217539875519269665425161 has 117 digits

N=818677389571056254109471364355393674406858069159817201566020381887352954663974521382993574581217539875519269665425161
  ( 117 digits)
Divisors found:
 r1=154398147450023912606937706634207381717040884467979 (pp51)
 r2=5302378319247958440584826915822320627139772894439527323268708713659 (pp67)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 44.21 hours.
Scaled time: 42.00 units (timescale=0.950).
Factorization parameters were as follows:
n: 818677389571056254109471364355393674406858069159817201566020381887352954663974521382993574581217539875519269665425161
skew: 131220.99
c0: -9681674555355251505454030660
c1: -170387925754970620050584
c2: 715829614077474265
c3: -141639467360734
c4: 266905464
c5: 2352
Y0: -51089892991722458114769
Y1: 532275105347
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2350000, 3750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 552100 x 552329
Total sieving time: 43.24 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,54,54,2.5,2.5,100000
total time: 44.21 hours.
 --------- CPU info (if available) ----------

12489260249166008399399306795453974474581262267807102247302158479567441120114210037701970997801488993981446313103758382867209127037606481604065550162906098668845318327877<170>

558181805694120503372853256590782574814323806697531192662612837332913<69>
22374896712434282644610429511616373525267984803781830548941194814855391353192288434175640262032111829<101>

Number: n
N=12489260249166008399399306795453974474581262267807102247302158479567441120114210037701970997801488993981446313103758382867209127037606481604065550162906098668845318327877  ( 170 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Mar 23 11:09:18 2021  p69 factor: 558181805694120503372853256590782574814323806697531192662612837332913
Tue Mar 23 11:09:18 2021  p101 factor: 22374896712434282644610429511616373525267984803781830548941194814855391353192288434175640262032111829
Tue Mar 23 11:09:18 2021  elapsed time 01:28:28 (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 = 44x10^197-53 = 48(196)3
#
n: 12489260249166008399399306795453974474581262267807102247302158479567441120114210037701970997801488993981446313103758382867209127037606481604065550162906098668845318327877
m: 1000000000000000000000000000000000000000
deg: 5
c5: 4400
c0: -53
skew: 0.41
# Murphy_E = 1.435e-11
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4302313 hash collisions in 29238064 relations (26353898 unique)
Msieve: matrix is 1998400 x 1998625 (699.3 MB)

Sieving start time : 2021/03/23 01:04:48
Sieving end time  : 2021/03/23 09:40:17

Total sieving time: 8hrs 35min 29secs.

Total relation processing time: 1hrs 16min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 2sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14300000,14300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116948] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153521] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152037] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

1130294521100248210107982430188193780878072895108385868266691039926703482928070086069615815718014328384004822041935108404363995218134897414340822382256513302911456297920152758276986224818097721<193>

62726900170484381870152945767500722785828123726554752769767<59>
399227036326560990356542066529754565124556756278336141268091<60>
45135457772454285943266266144361747537885951523900457051952173372945862893<74>

Number: n
N=1130294521100248210107982430188193780878072895108385868266691039926703482928070086069615815718014328384004822041935108404363995218134897414340822382256513302911456297920152758276986224818097721
  ( 193 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Apr 15 16:37:20 2010  prp59 factor: 62726900170484381870152945767500722785828123726554752769767
Thu Apr 15 16:37:20 2010  prp60 factor: 399227036326560990356542066529754565124556756278336141268091
Thu Apr 15 16:37:20 2010  prp74 factor: 45135457772454285943266266144361747537885951523900457051952173372945862893
Thu Apr 15 16:37:20 2010  elapsed time 06:03:42 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_4_8_197_3
n: 1130294521100248210107982430188193780878072895108385868266691039926703482928070086069615815718014328384004822041935108404363995218134897414340822382256513302911456297920152758276986224818097721
m: 2000000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -53
skew: 0.52
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 17050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4983184 hash collisions in 31847220 relations
Msieve: matrix is 2107607 x 2107832 (594.1 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,199,5,0,0,0,0,0,0,0,0,14900000,14900000,28,28,56,56,2.5,2.5,100000
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: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

542859695943749109574464444309855577037826744054536135496637570350367659602247628332445388928914085542166648708800206597438030579281382926938298870398424287<156>

7046882295480502467634870497200027<34>

77035442509364829592824984655079160994427570285601319384761126720874299891224577489225266938170642713438522459468169082381<122>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2540175551
Step 1 took 32875ms
********** Factor found in step 1: 7046882295480502467634870497200027
Found probable prime factor of 34 digits: 7046882295480502467634870497200027
Composite cofactor has 122 digits

GMP-ECM 6.2.1

77035442509364829592824984655079160994427570285601319384761126720874299891224577489225266938170642713438522459468169082381<122>

17093319897861558819189989484935430767783<41>
4506757199284748937489169617028628948676844119512148373046760090531769332278731307<82>

Number: 48883_200
N=77035442509364829592824984655079160994427570285601319384761126720874299891224577489225266938170642713438522459468169082381
  ( 122 digits)
Divisors found:
 r1=17093319897861558819189989484935430767783 (pp41)
 r2=4506757199284748937489169617028628948676844119512148373046760090531769332278731307 (pp82)
Version: Msieve-1.40
Total time: 79.27 hours.
Scaled time: 154.97 units (timescale=1.955).
Factorization parameters were as follows:
name: 48883_200
# Murphy_E = 2.266954e-10, selected by Jeff Gilchrist
n: 77035442509364829592824984655079160994427570285601319384761126720874299891224577489225266938170642713438522459468169082381
Y0: -368091799120498919063005
Y1: 12847974784117
c0: 109359585716408333906284552008
c1: 3405141569669740082931020
c2: -37901142473314887746
c3: -844999055076687
c4: 3776565670
c5: 11400
skew: 118654.68
type: gnfs
# selected mechanically
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2950000, 5350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 810955 x 811203
Total sieving time: 79.27 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5900000,5900000,27,27,52,52,2.5,2.5,100000
total time: 79.27 hours.
 --------- CPU info (if available) ----------

321602419069460169436773449383158314957789075819728975342322085587957607171079755417578049361899982728166595079470596285124413452437505598116826757125901<153>

1381483755702466462301905576355879679814289<43>
16761060799658048517079058492511518316903451068589<50>
13889033415236593965310759889351899345802299006235827926400081<62>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3417113576
Step 1 took 16676ms
Step 2 took 7311ms
********** Factor found in step 2: 1381483755702466462301905576355879679814289
Found probable prime factor of 43 digits: 1381483755702466462301905576355879679814289
Composite cofactor 232794933521262822264808075341572302568543142888736064349851176152586447126182635661032444890026877223386155709 has 111 digits

N=232794933521262822264808075341572302568543142888736064349851176152586447126182635661032444890026877223386155709
  ( 111 digits)
Divisors found:
 r1=16761060799658048517079058492511518316903451068589 (pp50)
 r2=13889033415236593965310759889351899345802299006235827926400081 (pp62)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 25.01 hours.
Scaled time: 22.96 units (timescale=0.918).
Factorization parameters were as follows:
n: 232794933521262822264808075341572302568543142888736064349851176152586447126182635661032444890026877223386155709
skew: 49050.20
c0: -143090613609108177172013568
c1: -16030856939080364034032
c2: 130382394547694789
c3: 19730246599213
c4: -98932749
c5: 612
Y0: -3281289962831689999045
Y1: 44316894127
rlim: 3460000
alim: 3460000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 160000
Factor base limits: 3460000/3460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1730000, 2530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 323168 x 323394
Total sieving time: 24.52 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3460000,3460000,26,26,52,52,2.5,2.5,100000
total time: 25.01 hours.
 --------- CPU info (if available) ----------

365586783851232250216476203857348142678211320388226480525690916671807147540214536161620956020888501258681556796672761697442662042641152135879268698213412230236485339561<168>

178505157193140541106178828032541538362810084706711703833572685313<66>
2048046059843926671585419241148973507800647015902525391417439902665393349072279998065858389282609603497<103>

Number: n
N=365586783851232250216476203857348142678211320388226480525690916671807147540214536161620956020888501258681556796672761697442662042641152135879268698213412230236485339561  ( 168 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Feb 14 10:37:59 2022  p66 factor: 178505157193140541106178828032541538362810084706711703833572685313
Mon Feb 14 10:37:59 2022  p103 factor: 2048046059843926671585419241148973507800647015902525391417439902665393349072279998065858389282609603497
Mon Feb 14 10:37:59 2022  elapsed time 02:19:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 44x10^203-53 = 48(202)3
#
n: 365586783851232250216476203857348142678211320388226480525690916671807147540214536161620956020888501258681556796672761697442662042641152135879268698213412230236485339561
m: 20000000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -53
skew: 0.52
# Murphy_E = 8.067e-12
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5292960 hash collisions in 32644552 relations (28807799 unique)
Msieve: matrix is 2470218 x 2470443 (857.8 MB)

Sieving start time : 2022/02/13 15:35:24
Sieving end time  : 2022/02/14 08:18:09

Total sieving time: 16hrs 42min 45secs.

Total relation processing time: 2hrs 5min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 29sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18000000,18000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

1203863306793619524473993816520287832772442474486306054885222577909108320337081725902213466852718268625680593176283892856165695367862321814550329694382883252619770718761115215190566089359489999726394703<202>

75956254527312360496911296790966809<35>

15849429573449204111210382410071127103818486388678547282497647139185547003406911430474426852551951533584065408618982135342664560514133979604513938702039208944975046567<167>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=100595225
Step 1 took 63234ms
Step 2 took 31359ms
********** Factor found in step 2: 75956254527312360496911296790966809
Found probable prime factor of 35 digits: 75956254527312360496911296790966809
Composite cofactor has 167 digits

GMP-ECM 6.2.1

15849429573449204111210382410071127103818486388678547282497647139185547003406911430474426852551951533584065408618982135342664560514133979604513938702039208944975046567<167>

23279243489594562920196882190242457117<38>

680839546204911562984737767986866470902126800678641853154938806472369417754905491525683844631102624845307946016729548686870120851<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3295045934
Step 1 took 19413ms
Step 2 took 8243ms
********** Factor found in step 2: 23279243489594562920196882190242457117
Found probable prime factor of 38 digits: 23279243489594562920196882190242457117

680839546204911562984737767986866470902126800678641853154938806472369417754905491525683844631102624845307946016729548686870120851<129>

1315192437797196989050302833092211797<37>
997281895058177292615503390623810547889121<42>
519083872243054470294679990523875346261535141488423<51>

Resuming ECM residue saved by *** with GMP-ECM 7.0-dev on Sat Sep 21 13:52:22 2013 
Input number is 680839546204911562984737767986866470902126800678641853154938806472369417754905491525683844631102624845307946016729548686870120851 (129 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2768087075
Step 1 took 0ms
Step 2 took 11689ms
********** Factor found in step 2: 1315192437797196989050302833092211797
Found probable prime factor of 37 digits: 1315192437797196989050302833092211797
Composite cofactor 517672947804690157051172427642208297084125791274275609619146669846571215668987932332709146183 has 93 digits
---
Msieve v. 1.44
Sat Sep 21 14:45:24 2013
random seeds: 321954ca e57019f2
factoring 517672947804690157051172427642208297084125791274275609619146669846571215668987932332709146183 (93 digits)
72245 relations (18478 full + 53767 combined from 958156 partial), need 71861
sieving complete, commencing postprocessing
begin with 976634 relations
reduce to 183290 relations in 11 passes
attempting to read 183290 relations
recovered 183290 relations
recovered 164235 polynomials
attempting to build 72245 cycles
found 72245 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 18478
   length 2 : 13177
   length 3 : 12554
   length 4 : 9612
   length 5 : 6885
   length 6 : 4728
   length 7 : 2939
   length 9+: 3872
largest cycle: 21 relations
matrix is 71765 x 72245 (19.6 MB) with weight 4558919 (63.10/col)
sparse part has weight 4558919 (63.10/col)
filtering completed in 3 passes
matrix is 67705 x 67768 (18.4 MB) with weight 4284436 (63.22/col)
sparse part has weight 4284436 (63.22/col)
saving the first 48 matrix rows for later
matrix is 67657 x 67768 (11.6 MB) with weight 3343438 (49.34/col)
sparse part has weight 2373529 (35.02/col)
matrix includes 64 packed rows
using block size 21845 for processor cache size 512 kB
commencing Lanczos iteration
memory use: 11.0 MB
linear algebra at 35.5%, ETA 0h 0m67768 dimensions (35.5%, ETA 0h 0m)    
linear algebra completed 64245 of 67768 dimensions (94.8%, ETA 0h 0m)    
lanczos halted after 1072 iterations (dim = 67654)
recovered 17 nontrivial dependencies
prp42 factor: 997281895058177292615503390623810547889121
prp51 factor: 519083872243054470294679990523875346261535141488423
elapsed time 01:26:38

ECM: GMP-ECM 7.0-dev
QS: Msieve v. 1.44

Step 1: Nvidia GeForce GTX 580, Ubuntu 12.04
Step 2: AMD Athlon II X4 640, Ubuntu 12.04
QS: AMD Athlon II X4 640, Ubuntu 12.04

3175603617369924127177910131298593014250332976384749802305189804948990042464870367803431715684800362215548101739596870402229715999130856548546100491940903330077385517302608142313<178>

1747559457628762017832218079859953768153632114977432419464582539444405921869442932768767922178868089135696907062754005562971336220412707899667755225145309037<157>

1689379276653049193988043849926296405970122243933<49>
1034438791679141326637292569299136795942199584278072081336213256674797584690238628509422719244900806878603089<109>

#
# N = 44x10^208-53 = 48(207)3
#
n: 1747559457628762017832218079859953768153632114977432419464582539444405921869442932768767922178868089135696907062754005562971336220412707899667755225145309037
m: 200000000000000000000000000000000000000000
deg: 5
c5: 1375
c0: -53
skew: 0.52
# Murphy_E = 4.397e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1747559457628762017832218079859953768153632114977432419464582539444405921869442932768767922178868089135696907062754005562971336220412707899667755225145309037 (157 digits)
Using B1=58510000, B2=388129104100, polynomial Dickson(30), sigma=1:1826356182
Step 1 took 136315ms
Step 2 took 10680ms
********** Factor found in step 2: 1689379276653049193988043849926296405970122243933
Found prime factor of 49 digits: 1689379276653049193988043849926296405970122243933
Prime cofactor 1034438791679141326637292569299136795942199584278072081336213256674797584690238628509422719244900806878603089 has 109 digits

8288010191514230450189989107009611305609771738967970809156487737077396904917679271193192341578712475331032770621035935620192566096868202702949316772086836976441739<163>

40957879467935303911421201434601720101547<41>

202354474869790687993351398219856855281849025042558931387303343606263985402899189542564916678119370249474224874161869413537<123>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1815706198
Step 1 took 12933ms
Step 2 took 10063ms
********** Factor found in step 2: 40957879467935303911421201434601720101547
Found probable prime factor of 41 digits: 40957879467935303911421201434601720101547
Composite cofactor 

202354474869790687993351398219856855281849025042558931387303343606263985402899189542564916678119370249474224874161869413537<123>

3218194927146022686813433953051508310508727916422867<52>
62878253011617228413603846133591954766555003334552825624488154506686011<71>

N=202354474869790687993351398219856855281849025042558931387303343606263985402899189542564916678119370249474224874161869413537
  ( 123 digits)
Divisors found:
 r1=3218194927146022686813433953051508310508727916422867 (pp52)
 r2=62878253011617228413603846133591954766555003334552825624488154506686011 (pp71)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 58.29 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 202354474869790687993351398219856855281849025042558931387303343606263985402899189542564916678119370249474224874161869413537
skew: 74122.05
c0: -40744550112451980679303727616
c1: 748774570464616168390950
c2: 10951952557294716503
c3: -1303143104508250
c4: 3611960034
c5: 98280
Y0: -290221434841870198932407
Y1: 4372511852117
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2650000, 5450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 799533 x 799773
Total sieving time: 56.84 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.70 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000
total time: 58.29 hours.
 --------- CPU info (if available) ----------

47763535731633430639980198113448091551840980168330947362278887531297768050175968189048438966562622278907876160229161647135811152611892056207763232747385620584640684590975662544266391219677<188>

754607478445846325676721925680155339258677486402312997021802822228899720272651159130654233313859856210447685218332373656836417595196867015073298171481860617953<159>

37221720618458415243762170991539296130157104793741372274906328956178976988511750719407241181764044077035633349167456417568806559980620559909205777794840394618992255558601724784260027145086799039<194>

16059860828766254115390461400221330438411899840311250212935451032609307561511976097324457334459221761742800348244508339967998857401909090981122486013997024181136364960312404202379<179>

218347094859158257175369078651604106045829262715303194490935807562837397990497297700765241545745613884865557475700125631782703780360888529550213708656074122669648958886104442341<177>

46563128888739555791501890878991<32>
1079013369931957812865804112228339<34>
13098526578611536701557096061970775669456646671<47>
331784421528474709214214003370041257167261594242563771128560410279<66>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3794894661
Step 1 took 23161ms
Step 2 took 8921ms
********** Factor found in step 2: 1079013369931957812865804112228339
Found probable prime factor of 34 digits: 1079013369931957812865804112228339

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2622854494
Step 1 took 17515ms
Step 2 took 6992ms
********** Factor found in step 2: 46563128888739555791501890878991
Found probable prime factor of 32 digits: 46563128888739555791501890878991
Composite cofactor 4345887063759979713212756214413826813656777212762971576410908990109918871147168969135485440905573726027299531209 has 112 digits

N=4345887063759979713212756214413826813656777212762971576410908990109918871147168969135485440905573726027299531209
  ( 112 digits)
Divisors found:
 r1=13098526578611536701557096061970775669456646671 (pp47)
 r2=331784421528474709214214003370041257167261594242563771128560410279 (pp66)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 30.75 hours.
Scaled time: 23.28 units (timescale=0.757).
Factorization parameters were as follows:
n: 4345887063759979713212756214413826813656777212762971576410908990109918871147168969135485440905573726027299531209
skew: 80906.76
c0: -1790627088315018414638367063
c1: 94550784723539413253520
c2: -581375179200781817
c3: 15517323969248
c4: 253213696
c5: 1848
Y0: -4723620694167386047360
Y1: 110049257377
rlim: 3720000
alim: 3720000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 200000
Factor base limits: 3720000/3720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1860000, 2860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 343885 x 344110
Total sieving time: 30.17 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3720000,3720000,26,26,52,52,2.5,2.5,100000
total time: 30.75 hours.
 --------- CPU info (if available) ----------

695849172042676615611062227516008206448081397931483794845678202255488495119787918644463189176407438382674837354351570390639919951619693352339360233188232872028677553893516390355530367278260369<192>

177764284865286099599270716767638111058551953031507888505441477148509946819009806799614513090658068822275892638091157801452974611209915833163227460383337759245753<162>

6385556898525153517866142237212594475299836386291482084218316987385081536546348465395779876242255410310558830582463405531897950575785794225457092584799185389641938100446942203865078855048749815287874582743097<208>

9819922446960630282231622258048658975068413018382698665131632920946605901047035307707262056813551174849139712443100667827594366481857030896800775097876575627132360232444066192873969715815950140283247529508895377<211>

2770646587766666115624086037625439<34>

3544271034176239300974679879614115274436804388503470266477664409110847227281409308633502263521383515034299365115198417393218500104196936567969008586983960822439870388055424438543<178>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1987999908
Step 1 took 26648ms
Step 2 took 10683ms
********** Factor found in step 2: 2770646587766666115624086037625439
Found probable prime factor of 34 digits: 2770646587766666115624086037625439

3544271034176239300974679879614115274436804388503470266477664409110847227281409308633502263521383515034299365115198417393218500104196936567969008586983960822439870388055424438543<178>

3615816149580318433775045575160889631<37>

980213287278894627597257004323241465916562950076491370493776880636120737013186624988285069043187615735715192967752140244104416221502306075153<141>

Factor found in step 2: 3615816149580318433775045575160889631

980213287278894627597257004323241465916562950076491370493776880636120737013186624988285069043187615735715192967752140244104416221502306075153<141>

95688836856966451815937319222519522145756398463054007<53>
10243757991792665218642069483265955350035789448573026544610178834696704808959043702229879<89>

Number: 48883_226
N = 980213287278894627597257004323241465916562950076491370493776880636120737013186624988285069043187615735715192967752140244104416221502306075153 (141 digits)
Divisors found:
r1=95688836856966451815937319222519522145756398463054007 (pp53)
r2=10243757991792665218642069483265955350035789448573026544610178834696704808959043702229879 (pp89)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 239.77 hours.
Factorization parameters were as follows:
# Murphy_E = 1.865e-11, selected by Erik Branger
# expecting poly E from 1.79e-011 to > 2.06e-011
n: 980213287278894627597257004323241465916562950076491370493776880636120737013186624988285069043187615735715192967752140244104416221502306075153
Y0: -2169392260472887731531365373
Y1: 497103339670951
c0: 556869437328515126745926451762292832
c1: 1400373181444619595719838426854
c2: 118813677770538955073913
c3: -395690463811236464
c4: -2931510860
c5: 20400
skew: 2718936.15
type: gnfs
# selected mechanically
rlim: 19400000
alim: 19400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23250574
Relations: 3712508 relations
Pruned matrix : 2308201 x 2308428
Polynomial selection time: 0.00 hours.
Total sieving time: 236.66 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.78 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,140,5,65,2000,1e-05,0.28,250,20,50000,3600,19400000,19400000,28,28,56,56,2.6,2.6,100000
total time: 239.77 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, Msieve

17439874796123411079359901558321896087638538720953851315258895556718745782782824425045931329760041705950868082763052474763512047668505146204249350926857647643118451397<167>

114388514552816629898701704147335508382975726842649820806869396429177701376087638734863286829480614879996479818860391917244237898177941228249104449101769755335960295649763769476698462226805580995274874956068840334991<216>

10685364169783955822478129918534358379676461324810382502100469277705930963793511588913020978428559561315589789857729990120107371367625933634826384809841267924774332981977436793297260322176721<191>

5909543775463794601992058949786318571476673151566508338726784041822562343346492128449164414688142638853169819293151422850750730019830860663786725666021120242044174682783124640822544233016431523<193>

411765256370663597143846448992578867084046903806021131044292839963689791029132391888224449497927136266224954846196318444275995021383718427431052715311116726091879801978344890835415555368389529932526647762898078740746979608261508371<231>

160255100414872763612270857412543179272674867396331427651645366561501770107684961236872889678701585988489663720710233079881106988157463198025316934626160946720475487626432996331286707455649347618534118555377989<210>

334801558609092275494952201985911343518935682081949159240132380825042416815508804201612584121822889961673548805709782154205548494052131439628137071109508151815804293621345358120766220384547385636480387491739<207>

18941341512176989038891900121546741<35>
5384948726726111912721355593001269709<37>

3282427663897160196885415226564581655549547471852889537507030698746789607527878580110651833742722235433925505218689797884426735182606731<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2673483169
Step 1 took 26789ms
Step 2 took 10298ms
********** Factor found in step 2: 18941341512176989038891900121546741
Found probable prime factor of 35 digits: 18941341512176989038891900121546741

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=7289421
Step 1 took 19844ms
Step 2 took 8290ms
********** Factor found in step 2: 5384948726726111912721355593001269709
Found probable prime factor of 37 digits: 5384948726726111912721355593001269709

3282427663897160196885415226564581655549547471852889537507030698746789607527878580110651833742722235433925505218689797884426735182606731<136>

178762910997301494799929032604821498432213<42>
18361905417543295063805864495669312391856212482658429574561819972409656154490669676062325963487<95>

prp42 = 178762910997301494799929032604821498432213 (curve 191 stg2 B1=3000000 sigma=3933467756 thread=5)
Finished 1910 curves using Lenstra ECM method on C136 input, B1=3M, B2=gmp-ecm default

YAFU

5797670263072854679163519394060900173960619177513672111402681388768714185247339570026895167832110727940133867622720891921852306051558666568692103139260069106281<160>

6858967200007130952839480596188089102701<40>
845268696293929953179183905788244624821210387747395987109528061092865495378104497826899543969351422665894751827150537581<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3778210084
Step 1 took 19474ms
********** Factor found in step 1: 6858967200007130952839480596188089102701
Found probable prime factor of 40 digits: 6858967200007130952839480596188089102701

5340049102743347662459914234573314076071240922544133775874155588958932835576279526308684334085102234602091333680288074594415497927574528455473433749002198473547962023790834475716447<181>

9461755155581360342343504720125583295701352600907468335376212287379308861793862761542266090359761735801991269380470077199320473947917338666322602842827344472399630131389372728641162935724576909016622583489237253510526202610584263380857149<238>

168517156213046315862595674059093<33>
56147132839219174483932652062143780168738442167017279148619940934440775100477501790549154609276965355757588991860626535546790417835417678665832379954640462564928243796369018272997184565471220932514110955593<206>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3532411148
Step 1 took 4016ms
Step 2 took 2875ms
********** Factor found in step 2: 168517156213046315862595674059093
Found probable prime factor of 33 digits: 168517156213046315862595674059093
Probable prime cofactor 56147132839219174483932652062143780168738442167017279148619940934440775100477501790549154609276965355757588991860626535546790417835417678665832379954640462564928243796369018272997184565471220932514110955593 has 206 digits

GMP-ECM 7.0

12551805330011737678120208999083584134806754387753844822652589965328576039363009230058482598047293393882443494061682418369341167976237880650719706396841876775258524898772328745257667638995119239055474024448229555449030665866169576379109<236>

4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<244>

3168297789750982033236206172212450115478478296441654110174041923661639945621697062928159972898751219810020207<109>
1543064829544681074731559708886932322571954651835967334292357427571201530441331767799062835340652734988056773301134271205496517038847869<136>

prp109 factor: 3168297789750982033236206172212450115478478296441654110174041923661639945621697062928159972898751219810020207
prp136 factor: 1543064829544681074731559708886932322571954651835967334292357427571201530441331767799062835340652734988056773301134271205496517038847869

ggnfs-lasieve4I14e on the NFS@Home grid + msieve

20574285964168615453310772275568553966601468279114454871804113422745830458857181288342922869979027035242658425906281894672468770988019751555992437033354108677054042666789754365020515910158079173702503<200>

66814117746966608483164506269112147257<38>

307933213188356400170355136642968463384956664957134571105089615078821175252289379567488452502375738440694886184116699607461838395259355917678099758576363465995679<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3209475347
Step 1 took 26762ms
Step 2 took 9957ms
********** Factor found in step 2: 66814117746966608483164506269112147257
Found probable prime factor of 38 digits: 66814117746966608483164506269112147257

307933213188356400170355136642968463384956664957134571105089615078821175252289379567488452502375738440694886184116699607461838395259355917678099758576363465995679<162>

359502754299325742010684884736486650633<39>
856553140430095274985110399880789292596128834963974396919732502012049032012670156678426422821837136430923423127099101922663<123>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=957417617
Step 1 took 40155ms
Step 2 took 14958ms
********** Factor found in step 2: 359502754299325742010684884736486650633
Found probable prime factor of 39 digits: 359502754299325742010684884736486650633
Probable prime cofactor 

298785510997000428579704216316527024392829667229664778310673963954211480348690018982684919056020295592361905203778767229495540035998068396052100423877548310265311353681542759177495112819197423438843805374241875604815819595265171251<231>

3290275782728939160005709842121401502222739271476116804984691221143766214240268075644143831781072090729873599494544966855859279578768533492868028574206046423095182310745440110975275396891205083589927057534771412861545504499057<226>

4545448706284928323733963514130141<34>
723861602085514874383031434248315637586612468213265051271500189669787024065278443560294729752257175525804022648943217675487162702438469508693318110436592633709176654561458914689224050947450277<192>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2447601338
Step 1 took 30440ms
Step 2 took 11443ms
********** Factor found in step 2: 4545448706284928323733963514130141
Found probable prime factor of 34 digits: 4545448706284928323733963514130141

53256548046898241080328518820925575527071071382765838487849612495908656801501573989507920240571599005432607995714306183924519524541646772185447332193452149877135334742003043655345998179528763023222639233949466846539<215>

666023950726868276963592885575960953462692402190729650890080900358438095918935565963060363504850055506648966511528858659360643533421627091672594718314374636667559963660606125941786023647546149619322821951544262911461097440218097398527<234>

2324632546675779716572448901914562685791614909178392446779187202306045384728123886996855455923053501477021166467971635705843501764377562341497418472301456667038702413533893477993372766681097878520563660716645963987129027640789<226>

63688779106803375788997222054677309003756523413667030112474528649840004378314069142246615603609028886089188058243909583182561004839869546273755534645371396990065404467967605513091785822220618422966532719031899292175936257259127626132623516100299<245>

100490254427773425521804283029211606254464843367074347185045188301598687833290806867709196322353531255110891431697825394650630608998481774814433113303643091940863693403891481039597923321681193477926922847673776898354862981033059<228>

739930180860797775904409092598394317874342029699115800250466366221380047143642477844556476600464777053150698384782864965937145958122978750382367329257327032491511403248999790969723906824628307004431340953605200498376609999786429243251542460136681921<249>

9836775374171140821878912307018014247534576775532952163834677696596903423244241088071034648911935958387926905574743031312873338094842577765204869188097375406607485972518407115647<178>

12547100721306323996004178830833370725374476029381104518205370840849563238407348068427980214512347302137076460646884131768379203700272261076717264428529129151956909723187041231<176>

4040215988341092292807001346572071925348145893<46>

3105551969873310682559675004918003033801146038166488000152637280010848125792907528413363673391767767121603380637139328516801864867<130>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2395119523
Step 1 took 31125ms
Step 2 took 13187ms
********** Factor found in step 2: 4040215988341092292807001346572071925348145893
Found prime factor of 46 digits: 4040215988341092292807001346572071925348145893
Composite cofactor 3105551969873310682559675004918003033801146038166488000152637280010848125792907528413363673391767767121603380637139328516801864867 has 130 digits

GMP-ECM

3105551969873310682559675004918003033801146038166488000152637280010848125792907528413363673391767767121603380637139328516801864867<130>

3282534874722150273050819346169226620499582994971<49>
946083465491339133180596645084802799649461879530018622030008700623404577753905177<81>

3105551969873310682559675004918003033801146038166488000152637280010848125792907528413363673391767767121603380637139328516801864867=3282534874722150273050819346169226620499582994971*946083465491339133180596645084802799649461879530018622030008700623404577753905177

cado polynomial
n: 3105551969873310682559675004918003033801146038166488000152637280010848125792907528413363673391767767121603380637139328516801864867
skew: 41423.247
c0: 42811965337654962192698797104
c1: -1993977849084989649223731
c2: -30044802475776927386
c3: 185565345613949
c4: 56555737140
c5: 345600
Y0: -9778205306218002314998102
Y1: 313007983610374673
# MurphyE = 4.972e-07
# f(x) = 345600*x^5+56555737140*x^4+185565345613949*x^3-30044802475776927386*x^2-1993977849084989649223731*x+42811965337654962192698797104
# g(x) = 313007983610374673*x-9778205306218002314998102

cado log (extracts)
Info:Square Root: Factors: 946083465491339133180596645084802799649461879530018622030008700623404577753905177 3282534874722150273050819346169226620499582994971
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39068/39.600/46.231/50.370/0.836
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 31013/37.890/41.481/47.030/0.968
Info:Polynomial Selection (size optimized): Total time: 4952.39
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5400.69
Info:Polynomial Selection (root optimized): Rootsieve time: 5396.42
Info:Generate Factor Base: Total cpu/real time for makefb: 39.12/10.3867
Info:Generate Free Relations: Total cpu/real time for freerel: 235.14/59.3162
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24064450
Info:Lattice Sieving: Average J: 7661.85 for 63271 special-q, max bucket fill -bkmult 1.0,1s:1.077100
Info:Lattice Sieving: Total time: 113849s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.08/120.165
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 312.71/286.058
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 259.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 202.19/225.9
Info:Filtering - Merging: Merged matrix has 1672252 rows and total weight 287616060 (172.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 228.97/66.1694
Info:Filtering - Merging: Total cpu/real time for replay: 65.54/55.7337
Info:Linear Algebra: Total cpu/real time for bwc: 46390.6/11884.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 7561.26, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52480 iterations)
Info:Linear Algebra: Lingen CPU time 326.63, WCT time 95.39
Info:Linear Algebra: Mksol: WCT time 4136.16, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 65.2/26.1529
Info:Square Root: Total cpu/real time for sqrt: 1312.29/346.636
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 289374/61047.5
Info:root: Cleaning up computation data in /tmp/cado.v8360ori
946083465491339133180596645084802799649461879530018622030008700623404577753905177 3282534874722150273050819346169226620499582994971

cado-nfs-3.0.0

2 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)

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