52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<119>

18545033725620385839073282769<29>
18245443874384613460664481658963115751599<41>
154338149112696928687790210316254402187911944002059<51>

Number: 52229_118
N=52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 119 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=18545033725620385839073282769 (pp29)
 r2=18245443874384613460664481658963115751599 (pp41)
 r3=154338149112696928687790210316254402187911944002059 (pp51)
Version: Msieve-1.39
Total time: 1.87 hours.
Scaled time: 3.26 units (timescale=1.739).
Factorization parameters were as follows:
n: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 500000000000000000000000
deg: 5
c5: 376
c0: 1525
skew: 1.32
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 815001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 96047 x 96284
Total sieving time: 1.87 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.87 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1758639140205169286031893103550385204774521808095693803127341596688532507052227630505474749<91>

449984349489798173821454543304923876501<39>
3908222901972372478578448309529138923621476871226249<52>

Number: 52229_119
N=1758639140205169286031893103550385204774521808095693803127341596688532507052227630505474749
  ( 91 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=449984349489798173821454543304923876501 (pp39)
 r2=3908222901972372478578448309529138923621476871226249 (pp52)
Version: Msieve-1.39
Total time: 1.57 hours.
Scaled time: 1.89 units (timescale=1.203).
Factorization parameters were as follows:
n: 1758639140205169286031893103550385204774521808095693803127341596688532507052227630505474749
m: 1000000000000000000000000
deg: 5
c5: 47
c0: 610
skew: 1.67
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 725001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89511 x 89759
Total sieving time: 1.57 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 1.57 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

8180874927090955321763329739007171305207975714973516401847502742135482630269011446011380272155299<97>

9009871097094871337526875860959775050975172901<46>
907990229708034753497605253062135272842718763548199<51>

Number: 52229_120
N=8180874927090955321763329739007171305207975714973516401847502742135482630269011446011380272155299
  ( 97 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=9009871097094871337526875860959775050975172901 (pp46)
 r2=907990229708034753497605253062135272842718763548199 (pp51)
Version: Msieve-1.39
Total time: 1.40 hours.
Scaled time: 1.69 units (timescale=1.205).
Factorization parameters were as follows:
n: 8180874927090955321763329739007171305207975714973516401847502742135482630269011446011380272155299
m: 1000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 84053 x 84301
Total sieving time: 1.40 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 1.40 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

6844283865583869028296936434404561653472298359609743449444989938676734020553820586253449788957938601<100>

4060994832987603706866691724669597451559<40>
1685371232188603324955176401904084463066907092390985334424239<61>

Number: 52229_124
N=6844283865583869028296936434404561653472298359609743449444989938676734020553820586253449788957938601
  ( 100 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=4060994832987603706866691724669597451559 (pp40)
 r2=1685371232188603324955176401904084463066907092390985334424239 (pp61)
Version: Msieve-1.39
Total time: 1.72 hours.
Scaled time: 2.98 units (timescale=1.739).
Factorization parameters were as follows:
n: 6844283865583869028296936434404561653472298359609743449444989938676734020553820586253449788957938601
m: 10000000000000000000000000
deg: 5
c5: 47
c0: 610
skew: 1.67
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 144287 x 144535
Total sieving time: 1.72 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 1.72 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

10309247106574019575801427213546091197756556283296533777875259460763507614969253051823456951<92>

36119310367160443267030313272188255347<38>
285422036073732811972082844292589214988221463070831533<54>

Msieve v. 1.40
Mon Mar 16 18:48:35 2009
random seeds: 09b0ea96 fc39a54b
factoring 10309247106574019575801427213546091197756556283296533777875259460763507614969253051823456951 (92 digits)
searching for 15-digit factors
commencing quadratic sieve (92-digit input)
using multiplier of 11
using 32kb Intel Core sieve core
sieve interval: 36 blocks of size 32768
processing polynomials in batches of 6
using a sieve bound of 1748333 (65882 primes)
using large prime bound of 176581633 (27 bits)
using double large prime bound of 699039714332622 (42-50 bits)
using trial factoring cutoff of 50 bits
polynomial 'A' values have 12 factors

sieving in progress (press Ctrl-C to pause)
66430 relations (16969 full + 49461 combined from 801476 partial), need 65978
66430 relations (16969 full + 49461 combined from 801476 partial), need 65978
sieving complete, commencing postprocessing
begin with 818445 relations
reduce to 166376 relations in 11 passes
attempting to read 166376 relations
recovered 166376 relations
recovered 147930 polynomials
attempting to build 66430 cycles
found 66430 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 16969
   length 2 : 12288
   length 3 : 11501
   length 4 : 9184
   length 5 : 6476
   length 6 : 4214
   length 7 : 2619
   length 9+: 3179
largest cycle: 19 relations
matrix is 65882 x 66430 (17.4 MB) with weight 4026396 (60.61/col)
sparse part has weight 4026396 (60.61/col)
filtering completed in 3 passes
matrix is 62105 x 62169 (16.3 MB) with weight 3763927 (60.54/col)
sparse part has weight 3763927 (60.54/col)
saving the first 48 matrix rows for later
matrix is 62057 x 62169 (10.1 MB) with weight 2907251 (46.76/col)
sparse part has weight 2023206 (32.54/col)
matrix includes 64 packed rows
using block size 24867 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 9.2 MB
linear algebra completed 56196 of 62169 dimensions (90.4%, ETA 0h 0m)
lanczos halted after 983 iterations (dim = 62057)
recovered 18 nontrivial dependencies
prp38 factor: 36119310367160443267030313272188255347
prp54 factor: 285422036073732811972082844292589214988221463070831533
elapsed time 01:26:49

24306862033504603934335500192850107717193325380275387792278851810924822007257197746988141412086680237<101>

23894510075301486165654975089685133299839<41>
1017257184052053219025068016261178571707894387955363477622483<61>

Number: 52229_126
N=24306862033504603934335500192850107717193325380275387792278851810924822007257197746988141412086680237
  ( 101 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=23894510075301486165654975089685133299839 (pp41)
 r2=1017257184052053219025068016261178571707894387955363477622483 (pp61)
Version: Msieve-1.39
Total time: 1.75 hours.
Scaled time: 3.04 units (timescale=1.739).
Factorization parameters were as follows:
n: 24306862033504603934335500192850107717193325380275387792278851810924822007257197746988141412086680237
m: 10000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
type: snfs
lss: 1
rlim: 940000
alim: 940000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 940000/940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [470000, 820001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139863 x 140111
Total sieving time: 1.75 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,127,5,0,0,0,0,0,0,0,0,940000,940000,26,26,46,46,2.3,2.3,50000
total time: 1.75 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

409631452321763546825635704242285696253772845989896048275809030748571767303698583312109480104433<96>

1229958574412209062018051100217580143117<40>
333044917807515859998647944588270739048031866360687340149<57>

03/16/09 14:26:52 v1.07 @ Core2Duo, starting SIQS on c96: 409631452321763546825635704242285696253772845989896048275809030748571767303698583312109480104433
03/16/09 14:26:52 v1.07 @ Core2Duo, random seeds: 3914057527, 3818987683
03/16/09 14:26:54 v1.07 @ Core2Duo, ==== sieve params ====
03/16/09 14:26:54 v1.07 @ Core2Duo, n = 96 digits, 318 bits
03/16/09 14:26:54 v1.07 @ Core2Duo, factor base: 88192 primes (max prime = 2397251)
03/16/09 14:26:54 v1.07 @ Core2Duo, single large prime cutoff: 311642630 (130 * pmax)
03/16/09 14:26:54 v1.07 @ Core2Duo, double large prime range from 44 to 51 bits
03/16/09 14:26:54 v1.07 @ Core2Duo, double large prime cutoff: 1943490174637453
03/16/09 14:26:54 v1.07 @ Core2Duo, using 6 large prime slices of factor base
03/16/09 14:26:54 v1.07 @ Core2Duo, buckets hold 2048 elements
03/16/09 14:26:54 v1.07 @ Core2Duo, sieve interval: 26 blocks of size 32768
03/16/09 14:26:54 v1.07 @ Core2Duo, polynomial A has ~ 12 factors
03/16/09 14:26:54 v1.07 @ Core2Duo, using multiplier of 1
03/16/09 14:26:54 v1.07 @ Core2Duo, using small prime variation correction of 17 bits
03/16/09 14:26:54 v1.07 @ Core2Duo, using x128 sieve scanning
03/16/09 14:26:54 v1.07 @ Core2Duo, trial factoring cutoff at 100 bits
03/16/09 14:26:54 v1.07 @ Core2Duo, ==== sieving started ====
03/16/09 17:11:19 v1.07 @ Core2Duo, sieve time = 3229.1400, relation time = 1905.8000, poly_time = 4442.4100
03/16/09 17:11:19 v1.07 @ Core2Duo, 88271 relations found: 21574 full + 66697 from 1222577 partial, using 835916 polys (394 A polys)
03/16/09 17:11:19 v1.07 @ Core2Duo, trial division touched 69874537 sieve locations out of 1424347365376
03/16/09 17:11:19 v1.07 @ Core2Duo, ==== post processing stage (msieve-1.38) ====
03/16/09 17:11:20 v1.07 @ Core2Duo, begin with 1244251 relations
03/16/09 17:11:21 v1.07 @ Core2Duo, reduce to 229300 relations in 12 passes
03/16/09 17:11:26 v1.07 @ Core2Duo, failed to read relation 207209
03/16/09 17:11:26 v1.07 @ Core2Duo, recovered 229299 relations
03/16/09 17:11:26 v1.07 @ Core2Duo, recovered 208310 polynomials
03/16/09 17:11:26 v1.07 @ Core2Duo, attempting to build 88257 cycles
03/16/09 17:11:26 v1.07 @ Core2Duo, found 88257 cycles in 5 passes
03/16/09 17:11:26 v1.07 @ Core2Duo, distribution of cycle lengths:
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 1 : 21574
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 2 : 15434
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 3 : 14923
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 4 : 11922
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 5 : 8967
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 6 : 6126
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 7 : 3975
03/16/09 17:11:26 v1.07 @ Core2Duo,    length 9+: 5336
03/16/09 17:11:26 v1.07 @ Core2Duo, largest cycle: 18 relations
03/16/09 17:11:27 v1.07 @ Core2Duo, matrix is 88192 x 88257 (23.5 MB) with weight 5796900 (65.68/col)
03/16/09 17:11:27 v1.07 @ Core2Duo, sparse part has weight 5796900 (65.68/col)
03/16/09 17:11:27 v1.07 @ Core2Duo, filtering completed in 3 passes
03/16/09 17:11:27 v1.07 @ Core2Duo, matrix is 84165 x 84229 (22.6 MB) with weight 5587386 (66.34/col)
03/16/09 17:11:27 v1.07 @ Core2Duo, sparse part has weight 5587386 (66.34/col)
03/16/09 17:11:28 v1.07 @ Core2Duo, saving the first 48 matrix rows for later
03/16/09 17:11:28 v1.07 @ Core2Duo, matrix is 84117 x 84229 (15.3 MB) with weight 4514775 (53.60/col)
03/16/09 17:11:28 v1.07 @ Core2Duo, sparse part has weight 3511399 (41.69/col)
03/16/09 17:11:28 v1.07 @ Core2Duo, matrix includes 64 packed rows
03/16/09 17:11:28 v1.07 @ Core2Duo, using block size 33691 for processor cache size 2048 kB
03/16/09 17:11:29 v1.07 @ Core2Duo, commencing Lanczos iteration
03/16/09 17:11:29 v1.07 @ Core2Duo, memory use: 14.3 MB
03/16/09 17:12:10 v1.07 @ Core2Duo, lanczos halted after 1331 iterations (dim = 84113)
03/16/09 17:12:10 v1.07 @ Core2Duo, recovered 14 nontrivial dependencies
03/16/09 17:12:14 v1.07 @ Core2Duo, prp40 = 1229958574412209062018051100217580143117
03/16/09 17:12:21 v1.07 @ Core2Duo, prp57 = 333044917807515859998647944588270739048031866360687340149
03/16/09 17:12:21 v1.07 @ Core2Duo, Lanczos elapsed time = 51.2800 seconds.
03/16/09 17:12:21 v1.07 @ Core2Duo, Sqrt elapsed time = 10.8300 seconds.
03/16/09 17:12:21 v1.07 @ Core2Duo, SIQS elapsed time = 1096.3454 seconds.

YAFU v1.07

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

3547919828184056116315607548433446194927697545722684470883241053448355384409942056430193280858844197931955275979473094651933589885680739<136>

237889815236994003472994542573001<33>
2770758482137124969166412549823186766443947403693<49>
5382688866148215158381784090133347240153974065965281623<55>

Number: 52229_141
N=3547919828184056116315607548433446194927697545722684470883241053448355384409942056430193280858844197931955275979473094651933589885680739
  ( 136 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=237889815236994003472994542573001 (pp33)
 r2=2770758482137124969166412549823186766443947403693 (pp49)
 r3=5382688866148215158381784090133347240153974065965281623 (pp55)
Version: Msieve-1.39
Total time: 5.65 hours.
Scaled time: 6.78 units (timescale=1.200).
Factorization parameters were as follows:
n: 3547919828184056116315607548433446194927697545722684470883241053448355384409942056430193280858844197931955275979473094651933589885680739
m: 10000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
type: snfs
lss: 1
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [835000, 1835001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274463 x 274711
Total sieving time: 5.65 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,142,5,0,0,0,0,0,0,0,0,1670000,1670000,26,26,48,48,2.3,2.3,100000
total time: 5.65 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

8166687335918092412037262866937791195485907167805717719906495118566264796547401483301565255820867166648568323166129315468551947327811<133>

4565845753121195746924551387258397021<37>
1788647224960539742443560414147995611121695950816486297797249923096857197776551827973807510280991<97>

Number: 52229_142
N=8166687335918092412037262866937791195485907167805717719906495118566264796547401483301565255820867166648568323166129315468551947327811
  ( 133 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=4565845753121195746924551387258397021 (pp37)
 r2=1788647224960539742443560414147995611121695950816486297797249923096857197776551827973807510280991 (pp97)
Version: Msieve-1.39
Total time: 10.51 hours.
Scaled time: 27.01 units (timescale=2.571).
Factorization parameters were as follows:
n: 8166687335918092412037262866937791195485907167805717719906495118566264796547401483301565255820867166648568323166129315468551947327811
m: 20000000000000000000000000000
deg: 5
c5: 1175
c0: 488
skew: 0.84
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [900000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 344241 x 344489
Total sieving time: 10.51 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,144,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,49,49,2.3,2.3,100000
total time: 10.51 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

605750486343000404874843255841407322336179563269398224619563116036694385526322917940252330159715633119<102>

843533943620266080062357916034467423067<39>
718110386575849847385899895133421039103985314002695286774474957<63>

Number: 52229_143
N=605750486343000404874843255841407322336179563269398224619563116036694385526322917940252330159715633119
  ( 102 digits)
Divisors found:
 r1=843533943620266080062357916034467423067
 r2=718110386575849847385899895133421039103985314002695286774474957
Version: 
Total time: 9.17 hours.
Scaled time: 7.24 units (timescale=0.789).
Factorization parameters were as follows:
name: 52229_143
n: 605750486343000404874843255841407322336179563269398224619563116036694385526322917940252330159715633119
skew: 2028.19
# norm 3.98e+013
c5: 484680
c4: -957011292
c3: -7259569440258
c2: 12296856586459339
c1: 22812751531700371574
c0: -73288405825787053568
# alpha -5.27
Y1: 25932542933
Y0: -16571735877576221307
# Murphy_E 2.82e-009
# M 383023636319566478011625387693809335917375317312372669279878183539994291798391880866888635246176265339
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 232156 x 232404
Polynomial selection time: 0.62 hours.
Total sieving time: 8.55 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:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 9.17 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

60025542784163473818646232439335887611749680715197956577266922094508301404853128991060025542784163473818646232439335887611749680715197956577267<143>

35665836196780192728533512673<29>
1976709432008267264427519070426499<34>
851414124657241695767207870881297397947237108071634876732657125843696881206420721<81>

Number: 52229_144
N=60025542784163473818646232439335887611749680715197956577266922094508301404853128991060025542784163473818646232439335887611749680715197956577267
  ( 143 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=35665836196780192728533512673
 r2=1976709432008267264427519070426499
 r3=851414124657241695767207870881297397947237108071634876732657125843696881206420721
Version: 
Total time: 12.31 hours.
Scaled time: 12.75 units (timescale=1.036).
Factorization parameters were as follows:
n: 60025542784163473818646232439335887611749680715197956577266922094508301404853128991060025542784163473818646232439335887611749680715197956577267
m: 100000000000000000000000000000
deg: 5
c5: 47
c0: 610
skew: 1.67
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 364332 x 364580
Total sieving time: 12.31 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 12.31 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

4415566983412916558364200333566126155840383990444855088058423457637337768106379951019223089264831632838735255607415030193<121>

12822898127825871123041260367860744391887985989183<50>
344350156992285033341866116549986062298882723986694029020884286713875471<72>

Number: 52229_146
N=4415566983412916558364200333566126155840383990444855088058423457637337768106379951019223089264831632838735255607415030193
  ( 121 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=12822898127825871123041260367860744391887985989183 (pp50)
 r2=344350156992285033341866116549986062298882723986694029020884286713875471 (pp72)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 23.49 hours.
Scaled time: 60.22 units (timescale=2.564).
Factorization parameters were as follows:
name: 52229_146
n: 4415566983412916558364200333566126155840383990444855088058423457637337768106379951019223089264831632838735255607415030193
m: 100000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 3100001)
Primes: RFBsize:148933, AFBsize:149036, largePrimes:4703269 encountered
Relations: rels:5381201, finalFF:641992
Max relations in full relation-set: 28
Initial matrix: 298036 x 641992 with sparse part having weight 79596977.
Pruned matrix : 227418 x 228972 with weight 37582236.
Total sieving time: 22.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 23.49 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

606675876199651581317035127957145483690901889131660586888217858313407073692363357548983792092630032283116193071<111>

219213132009021623869566675173488915702299783936522029<54>
2767516118398801454302828847039547607150038471761799341899<58>

Number: 52229_149
N=606675876199651581317035127957145483690901889131660586888217858313407073692363357548983792092630032283116193071
  ( 111 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=219213132009021623869566675173488915702299783936522029 (pp54)
 r2=2767516118398801454302828847039547607150038471761799341899 (pp58)
Version: Msieve-1.39
Total time: 16.20 hours.
Scaled time: 41.65 units (timescale=2.571).
Factorization parameters were as follows:
n: 606675876199651581317035127957145483690901889131660586888217858313407073692363357548983792092630032283116193071
m: 1000000000000000000000000000000
deg: 5
c5: 47
c0: 610
skew: 1.67
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 436101 x 436349
Total sieving time: 16.20 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 16.20 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

401591409701094762557236606442942058249930610119999828677048360538804414672459347923455562310561948894319531364533784369607514371<129>

13551298952508005615508715858630155784976003377<47>
29634901503428958238102266429923613340973044009914909611452496602972186130738987123<83>

Number: 52229_151
N=401591409701094762557236606442942058249930610119999828677048360538804414672459347923455562310561948894319531364533784369607514371
  ( 129 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=13551298952508005615508715858630155784976003377 (pp47)
 r2=29634901503428958238102266429923613340973044009914909611452496602972186130738987123 (pp83)
Version: Msieve-1.40
Total time: 21.55 hours.
Scaled time: 35.41 units (timescale=1.643).
Factorization parameters were as follows:
n: 401591409701094762557236606442942058249930610119999828677048360538804414672459347923455562310561948894319531364533784369607514371
m: 1000000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
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, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 433946 x 434194
Total sieving time: 21.55 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,152,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 21.55 hours.
 --------- CPU info (if available) ----------
[    0.366872] CPU0: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.456430] CPU1: Intel(R) Core(TM)2 Duo CPU     E4500  @ 2.20GHz stepping 0d
[    0.004000] Memory: 2036264k/2070528k available (2576k kernel code, 32096k reserved, 1165k data, 424k init, 1152180k highmem)
[    0.004010] Calibrating delay loop (skipped), value calculated using timer frequency.. 4400.13 BogoMIPS (lpj=8800268)
[    0.004000] Calibrating delay using timer specific routine.. 4400.41 BogoMIPS (lpj=8800821)
[    0.460050] Total of 2 processors activated (8800.54 BogoMIPS).

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

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

26071974595579550393999475913790933972486860700120637626726518445387274546574219539309075431750905426207893727988956584997<122>

1142881122706237152034929100702236331731481069594600653461<58>
22812499110881731749464498894319372578237508831024251483110858577<65>

Number: 52229_152
N=26071974595579550393999475913790933972486860700120637626726518445387274546574219539309075431750905426207893727988956584997
  ( 122 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=1142881122706237152034929100702236331731481069594600653461
 r2=22812499110881731749464498894319372578237508831024251483110858577
Version: 
Total time: 35.93 hours.
Scaled time: 36.25 units (timescale=1.009).
Factorization parameters were as follows:
n: 26071974595579550393999475913790933972486860700120637626726518445387274546574219539309075431750905426207893727988956584997
m: 2000000000000000000000000000000
deg: 5
c5: 1175
c0: 488
skew: 0.84
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 508553 x 508801
Total sieving time: 35.93 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,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 35.93 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

114700457246579318138478529527468263717968577260197719911362953388175243029481033280139922014098783960013610492455511266691921061547300810749<141>

6287405169625602502477237795484824113448923850663462083007464764063<67>
18242892600702144900224066166443686086519340119714997012668019979791537123<74>

Number: n
N=114700457246579318138478529527468263717968577260197719911362953388175243029481033280139922014098783960013610492455511266691921061547300810749
  ( 141 digits)
SNFS difficulty: 156 digits.
Divisors found:

Sun Mar 22 13:39:49 2009  prp67 factor: 6287405169625602502477237795484824113448923850663462083007464764063
Sun Mar 22 13:39:49 2009  prp74 factor: 18242892600702144900224066166443686086519340119714997012668019979791537123
Sun Mar 22 13:39:49 2009  elapsed time 01:25:39 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 24.36 hours.
Scaled time: 44.42 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_5_2_153_9
n: 114700457246579318138478529527468263717968577260197719911362953388175243029481033280139922014098783960013610492455511266691921061547300810749
deg: 5
c5: 47
c0: 610
m: 10000000000000000000000000000000
skew: 1.67
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [1500000, 10000000
)
Primes: RFBsize:216816, AFBsize:217102, largePrimes:24249774 encountered
Relations: rels:22372236, finalFF:558517
Max relations in full relation-set: 28
Initial matrix: 433983 x 558517 with sparse part having weight 89057458.
Pruned matrix : 399040 x 401273 with weight 56926209.

Msieve: found 2110438 hash collisions in 23723689 relations
Msieve: matrix is 535966 x 536214 (141.4 MB)

Total sieving time: 23.82 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,29,29,58,58,2.5,2.5,100000
total time: 24.36 hours.
 --------- CPU info (if available) ----------

5754644640585449191008920125142453967791053807545353415454995626035209442376213481020112037757307342677623289412305082228414988718229306797<139>

20170670960464360204959468810331<32>

285297630994272504091552978449388295403830314074853375107757128116579477814437793906499110695817310611368087<108>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=958636256
Step 1 took 7668ms
Step 2 took 7649ms
********** Factor found in step 2: 20170670960464360204959468810331
Found probable prime factor of 32 digits: 20170670960464360204959468810331
Composite cofactor has 108 digits

GMP-ECM 6.2.2

285297630994272504091552978449388295403830314074853375107757128116579477814437793906499110695817310611368087<108>

1362060369851719248423367258847794687379<40>
209460342073774190375828058205240979575586001449705679614534145203053<69>

Number: 52227_155
N=285297630994272504091552978449388295403830314074853375107757128116579477814437793906499110695817310611368087
  ( 108 digits)
Divisors found:
 r1=1362060369851719248423367258847794687379 (pp40)
 r2=209460342073774190375828058205240979575586001449705679614534145203053 (pp69)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 20.73 hours.
Scaled time: 9.78 units (timescale=0.472).
Factorization parameters were as follows:
name: 52227_155
n: 285297630994272504091552978449388295403830314074853375107757128116579477814437793906499110695817310611368087
skew: 12217.28
# norm 5.15e+14
c5: 24480
c4: 2762001072
c3: -4673288308058
c2: -155456926716493285
c1: 560007686009585776790
c0: -3036206145102312397412120
# alpha -6.01
Y1: 239892078833
Y0: -410479642376546949693
# Murphy_E 1.42e-09
# M 253874833941645235923460218686059303773393118734419260658942706884390200216848854565959869477840516971217388
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:182725, largePrimes:4485821 encountered
Relations: rels:4584016, finalFF:461794
Max relations in full relation-set: 28
Initial matrix: 365882 x 461794 with sparse part having weight 37155706.
Pruned matrix : 295333 x 297226 with weight 21432233.
Total sieving time: 17.67 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 2.50 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: 20.73 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

86646698285537530193450319277642828024489879500902537700671930529507367477335548923716463218539734619713860135139678033581656660881717159<137>

149475423087669771725404269873003177613<39>
805851248526890988295119477659282638721085559<45>
719328626510539286405990039328350670878493687056107477<54>

Number: n
N=86646698285537530193450319277642828024489879500902537700671930529507367477335548923716463218539734619713860135139678033581656660881717159
  ( 137 digits)
SNFS difficulty: 161 digits.
Divisors found:

Thu Apr 02 23:59:54 2009  prp39 factor: 149475423087669771725404269873003177613
Thu Apr 02 23:59:54 2009  prp45 factor: 805851248526890988295119477659282638721085559
Thu Apr 02 23:59:54 2009  prp54 factor: 719328626510539286405990039328350670878493687056107477
Thu Apr 02 23:59:54 2009  elapsed time 01:04:50 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 26.06 hours.
Scaled time: 68.45 units (timescale=2.627).
Factorization parameters were as follows:
name: KA_5_2_159_9
n: 86646698285537530193450319277642828024489879500902537700671930529507367477335548923716463218539734619713860135139678033581656660881717159
skew: 1.05
deg: 5
c5: 47
c0: 61
m: 100000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2250000, 3858307)
Primes: RFBsize:315948, AFBsize:315702, largePrimes:15105273 encountered
Relations: rels:14286619, finalFF:585267
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1139206 hash collisions in 15114291 relations
Msieve: matrix is 721821 x 722069 (193.9 MB)

Total sieving time: 25.67 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.4,2.4,100000
total time: 26.06 hours.
 --------- CPU info (if available) ----------

3707543746123136872396667795676844488755429619918336710617759781865291116820081632082907645190199672284844174330477097638895807993800204328099954691527789<154>

219943733041963750242646478617524491832623759499803899627166611<63>
16856782845527874382183048874522274027542137890355911903085056358760184087391042615656550399<92>

Number: 52229_161
N=3707543746123136872396667795676844488755429619918336710617759781865291116820081632082907645190199672284844174330477097638895807993800204328099954691527789
  ( 154 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=219943733041963750242646478617524491832623759499803899627166611 (pp63)
 r2=16856782845527874382183048874522274027542137890355911903085056358760184087391042615656550399 (pp92)
Version: Msieve-1.39
Total time: 36.14 hours.
Scaled time: 92.92 units (timescale=2.571).
Factorization parameters were as follows:
n: 3707543746123136872396667795676844488755429619918336710617759781865291116820081632082907645190199672284844174330477097638895807993800204328099954691527789
m: 100000000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 669486 x 669734
Total sieving time: 36.14 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 36.14 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

5289670814781501143300446211869773706757081771895663831740748506427681590178589415863902847429799596882065438630195849499186347337117811435840626044921010021<157>

971829109621331280713052310611805906814693<42>
5443005115212690963075124445015554464452373759718062686515066448009637291266093021375952448364071566322188969133697<115>

Number: 52229_162
N=5289670814781501143300446211869773706757081771895663831740748506427681590178589415863902847429799596882065438630195849499186347337117811435840626044921010021
  ( 157 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=971829109621331280713052310611805906814693 (pp42)
 r2=5443005115212690963075124445015554464452373759718062686515066448009637291266093021375952448364071566322188969133697 (pp115)
Version: Msieve-1.39
Total time: 53.98 hours.
Scaled time: 138.18 units (timescale=2.560).
Factorization parameters were as follows:
n: 5289670814781501143300446211869773706757081771895663831740748506427681590178589415863902847429799596882065438630195849499186347337117811435840626044921010021
m: 200000000000000000000000000000000
deg: 5
c5: 1175
c0: 488
skew: 0.84
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 809812 x 810060
Total sieving time: 53.98 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,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 53.98 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

258037223577586703584366939521687141457565042608347763233440879201328184257788165302728714631007910945833069136088685122225466935446774836043071413903546909<156>

72533535683897919367050843049102695262622230330026538812469651505101456980937<77>
3557488562285399128352167251090547646264542317070408776923597887660186679045557<79>

Number: 52229_165
N=258037223577586703584366939521687141457565042608347763233440879201328184257788165302728714631007910945833069136088685122225466935446774836043071413903546909
  ( 156 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=72533535683897919367050843049102695262622230330026538812469651505101456980937 (pp77)
 r2=3557488562285399128352167251090547646264542317070408776923597887660186679045557 (pp79)
Version: Msieve-1.39
Total time: 43.32 hours.
Scaled time: 110.89 units (timescale=2.560).
Factorization parameters were as follows:
n: 258037223577586703584366939521687141457565042608347763233440879201328184257788165302728714631007910945833069136088685122225466935446774836043071413903546909
m: 1000000000000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 743624 x 743872
Total sieving time: 43.32 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 43.32 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

For the records page

423955762779197108748010664666559127694051691975812539877069526095525968365910818624458358288204930884391825958098258024391334879743<132>

5079837261726309477074870937453617318273958408771046998347443561<64>
83458532416670736671267228864304174336696566851849644029351322951463<68>

Number: n
N=423955762779197108748010664666559127694051691975812539877069526095525968365910818624458358288204930884391825958098258024391334879743
  ( 132 digits)
SNFS difficulty: 169 digits.
Divisors found:

Tue Jun 23 03:49:36 2009  prp64 factor: 5079837261726309477074870937453617318273958408771046998347443561
Tue Jun 23 03:49:36 2009  prp68 factor: 83458532416670736671267228864304174336696566851849644029351322951463
Tue Jun 23 03:49:36 2009  elapsed time 02:21:21 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 74.52 hours.
Scaled time: 198.22 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_2_166_9
n: 423955762779197108748010664666559127694051691975812539877069526095525968365910818624458358288204930884391825958098258024391334879743
m: 2000000000000000000000000000000000
deg: 5
c5: 1175
c0: 488
skew: 0.84
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2400000, 6868387)
Primes: RFBsize:335439, AFBsize:335523, largePrimes:18006057 encountered
Relations: rels:18460657, finalFF:659503
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2776050 hash collisions in 21096983 relations
Msieve: matrix is 847467 x 847715 (222.3 MB)

Total sieving time: 73.33 hours.
Total relation processing time: 1.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4800000,4800000,28,28,56,56,2.4,2.4,100000
total time: 74.52 hours.
 --------- CPU info (if available) ----------

27627339246057276483234757819207456028441582910075966920529994180420725881958578321909646664114761200120848299705705944861235677662427047598986328119589672852791<161>

10510633214327225798229348673064411<35>
2628513304830956602240823352104911960288107310430910800133860524644986354367963340687139457780089343410802616392394992059130581<127>

Number: 52229_170
N=27627339246057276483234757819207456028441582910075966920529994180420725881958578321909646664114761200120848299705705944861235677662427047598986328119589672852791
  ( 161 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=10510633214327225798229348673064411 (pp35)
 r2=2628513304830956602240823352104911960288107310430910800133860524644986354367963340687139457780089343410802616392394992059130581 (pp127)
Version: Msieve-1.40
Total time: 61.03 hours.
Scaled time: 106.12 units (timescale=1.739).
Factorization parameters were as follows:
n: 27627339246057276483234757819207456028441582910075966920529994180420725881958578321909646664114761200120848299705705944861235677662427047598986328119589672852791
m: 10000000000000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
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, 5750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 966761 x 967009
Total sieving time: 59.53 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.21 hours.
Time per square root: 0.12 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: 61.03 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1437528551707119281313675875542368254399786406986836567956741962539411239838906542666098053887433178858381201289266668628552414894416032281242016585115461957396099<163>

155705137976349535618955127465479103372581214599<48>
9232377109645985396433945968057508694695399541386192131778368096665877091302329437777202702426026982598638033918501<115>

Number: 52229_172
N=1437528551707119281313675875542368254399786406986836567956741962539411239838906542666098053887433178858381201289266668628552414894416032281242016585115461957396099
  ( 163 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=155705137976349535618955127465479103372581214599 (pp48)
 r2=9232377109645985396433945968057508694695399541386192131778368096665877091302329437777202702426026982598638033918501 (pp115)
Version: Msieve-1.40
Total time: 113.19 hours.
Scaled time: 196.84 units (timescale=1.739).
Factorization parameters were as follows:
n: 1437528551707119281313675875542368254399786406986836567956741962539411239838906542666098053887433178858381201289266668628552414894416032281242016585115461957396099
m: 20000000000000000000000000000000000
deg: 5
c5: 1175
c0: 488
skew: 0.84
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 9050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1275294 x 1275542
Total sieving time: 110.55 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.22 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 113.19 hours.

GGNFS, Msieve

14272061614892375673824494259819983931172007372236131870180840303432061850749329549380593083977434784994475729243757937040837987513043620306988302609439<152>

2713126239066248706577362905776044487016284540385685889<55>
5260375064524921514235484960795577000211357953325138664530107226453712509202351070463504384961951<97>

Number: n
N=14272061614892375673824494259819983931172007372236131870180840303432061850749329549380593083977434784994475729243757937040837987513043620306988302609439
  ( 152 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu Jan 19 05:41:11 2012  prp55 factor: 2713126239066248706577362905776044487016284540385685889
Thu Jan 19 05:41:11 2012  prp97 factor: 5260375064524921514235484960795577000211357953325138664530107226453712509202351070463504384961951
Thu Jan 19 05:41:11 2012  elapsed time 02:20:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.647).
Factorization parameters were as follows:
name: KA_52229_176
n: 14272061614892375673824494259819983931172007372236131870180840303432061850749329549380593083977434784994475729243757937040837987513043620306988302609439
m: 100000000000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
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 7535914 hash collisions in 75000099 relations
Msieve: matrix is 1096690 x 1096918 (308.4 MB)

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

160472782391879399814600872554941836289911201563381999183025481868313152766960735842347268146772129666259100680860268342869498866334413061<138>

11894929707115550919571108391000768163225167930621<50>
13490855880878768694665984822648504862743239947035562573294596967243172200514466806185641<89>

Number: 52229_177
N = 160472782391879399814600872554941836289911201563381999183025481868313152766960735842347268146772129666259100680860268342869498866334413061 (138 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=11894929707115550919571108391000768163225167930621 (pp50)
r2=13490855880878768694665984822648504862743239947035562573294596967243172200514466806185641 (pp89)
Version: Msieve v. 1.51 (SVN 845)
Total time: 107.52 hours.
Factorization parameters were as follows:
n: 160472782391879399814600872554941836289911201563381999183025481868313152766960735842347268146772129666259100680860268342869498866334413061
m: 100000000000000000000000000000000000
deg: 5
c5: 4700
c0: 61
skew: 0.42
# Murphy_E = 7.634e-11
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19485336
Relations: 2635502 relations
Pruned matrix : 1569500 x 1569729
Polynomial selection time: 0.00 hours.
Total sieving time: 105.18 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.99 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 107.52 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

1273425163218800460371533735717797892936964179079949583101165888372330411709210080200227937794304176184097691270327921440409523869199144675619378988348630054136074417739<169>

115408121164094735012236175664796745389444902756462350565310383181720875166223<78>
11034103582781337864927757606282630036211683990647968980583740201381062663832992545798233093<92>

Number: n
N=1273425163218800460371533735717797892936964179079949583101165888372330411709210080200227937794304176184097691270327921440409523869199144675619378988348630054136074417739
  ( 169 digits)
SNFS difficulty: 179 digits.
Divisors found:

Wed Feb  1 12:55:11 2012  prp78 factor: 115408121164094735012236175664796745389444902756462350565310383181720875166223
Wed Feb  1 12:55:11 2012  prp92 factor: 11034103582781337864927757606282630036211683990647968980583740201381062663832992545798233093
Wed Feb  1 12:55:11 2012  elapsed time 03:53:53 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.649).
Factorization parameters were as follows:
name: KA_52229_178
n: 1273425163218800460371533735717797892936964179079949583101165888372330411709210080200227937794304176184097691270327921440409523869199144675619378988348630054136074417739
m: 100000000000000000000000000000000000
deg: 5
c5: 47000
c0: 61
skew: 0.26
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10730196 hash collisions in 76000098 relations
Msieve: matrix is 1375856 x 1376084 (385.5 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,179,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

7171008352911063440993924582880486063030072259764205558138415447092894650467590710902200413385440199160201380894835681004748472373440860864234272534181606863714472076368871<172>

46086527706787783863770048419<29>
155598798818920185760682857386549258894779410779794936254768626444142587537228894385588949913316988978207015735754666249496968259470947413724909<144>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1444878925
Step 1 took 9129ms
Step 2 took 8957ms
********** Factor found in step 2: 46086527706787783863770048419
Found probable prime factor of 29 digits: 46086527706787783863770048419
Probable prime cofactor has 144 digits

GMP-ECM 6.2.2

2984656272837301872941810920503703097678773002832656174803916968577333453319309647690843972028375735039690688451877536825784685380399137091444596598220524217992862805298489<172>

107322378932355729245713582855453961656424687369<48>
127248519277150410216836543650998769382874257509777211<54>
218550243535932156374990718848513622654338442739119806162477279229069571<72>

Number: n
N=2984656272837301872941810920503703097678773002832656174803916968577333453319309647690843972028375735039690688451877536825784685380399137091444596598220524217992862805298489
  ( 172 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Jan 20 20:01:35 2012  prp48 factor: 107322378932355729245713582855453961656424687369
Fri Jan 20 20:01:35 2012  prp54 factor: 127248519277150410216836543650998769382874257509777211
Fri Jan 20 20:01:35 2012  prp72 factor: 218550243535932156374990718848513622654338442739119806162477279229069571
Fri Jan 20 20:01:35 2012  elapsed time 02:23:59 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.658).
Factorization parameters were as follows:
name: KA_52229 180
n: 2984656272837301872941810920503703097678773002832656174803916968577333453319309647690843972028375735039690688451877536825784685380399137091444596598220524217992862805298489
m: 1000000000000000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
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, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5717648 hash collisions in 76000099 relations
Msieve: matrix is 1037204 x 1037452 (287.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

10485022954014068904990891110645207354756265530800919450051069619503559315865054055191528562617494512910296984357857838089997758440238485807566820132732654200089409<164>

26053743307872932769578681796025708751399<41>

402438253502163721374413543289478854827413737349545818460246829481329244668601583506895179394252582921306538280311108347991<123>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7565981
Step 1 took 29319ms
Step 2 took 9805ms
********** Factor found in step 2: 26053743307872932769578681796025708751399
Found probable prime factor of 41 digits: 26053743307872932769578681796025708751399
Composite cofactor 402438253502163721374413543289478854827413737349545818460246829481329244668601583506895179394252582921306538280311108347991 has 123 digits

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]

Core-i5, 3.4 GHz, Linux (OpenSUSE)

402438253502163721374413543289478854827413737349545818460246829481329244668601583506895179394252582921306538280311108347991<123>

2413724256140824768123588424976830427397<40>
166729174833583030450781109564381636447967574904771645482169638273815872168454431403<84>

Number: 52229_181
N = 402438253502163721374413543289478854827413737349545818460246829481329244668601583506895179394252582921306538280311108347991 (123 digits)
Divisors found:
r1=2413724256140824768123588424976830427397 (pp40)
r2=166729174833583030450781109564381636447967574904771645482169638273815872168454431403 (pp84)
Version: Msieve v. 1.51 (SVN 845)
Total time: 46.15 hours.
Factorization parameters were as follows:
# Murphy_E = 1.954e-10, selected by Erik Branger
n: 402438253502163721374413543289478854827413737349545818460246829481329244668601583506895179394252582921306538280311108347991
Y0: -484205253746280924656039
Y1: 6781045055747
c0: -8995590788231196086237909982000
c1: 88946269083009165842845950
c2: 63900001625970833965
c3: -2748158274050042
c4: -55268076
c5: 15120
skew: 297857.92
type: gnfs
# selected mechanically
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10352658
Relations: 1390224 relations
Pruned matrix : 817737 x 817963
Polynomial selection time: 0.00 hours.
Total sieving time: 45.04 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.62 hours.
time per square root: 0.40 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,6200000,6200000,27,27,52,52,2.5,2.5,100000
total time: 46.15 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

3232226435970265846236451757188221400714438709580553767065174279795300964396998306487207820154993202004200696972674155507<121>

17506708982877796590471231654665554196604017<44>
184627872613379352806475438960335967278715754772741368162582062046769524215971<78>

Number: 52229_182
N=3232226435970265846236451757188221400714438709580553767065174279795300964396998306487207820154993202004200696972674155507
  ( 121 digits)
Divisors found:
 r1=17506708982877796590471231654665554196604017 (pp44)
 r2=184627872613379352806475438960335967278715754772741368162582062046769524215971 (pp78)
Version: Msieve-1.41
Total time: 24.87 hours.
Scaled time: 92.16 units (timescale=3.706).
Factorization parameters were as follows:
n: 3232226435970265846236451757188221400714438709580553767065174279795300964396998306487207820154993202004200696972674155507
Y0: -185237779331646459172495
Y1:  7107011474677
c0:  55561197852791414195499475416
c1: -4782340600789847977395504
c2: -149176072421321140560
c3:  896428011026213
c4:  5109382940
c5:  14820
skew: 114386.69
type: gnfs
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2200000, 4000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 721051 x 721299
Total sieving time: 24.28 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4400000,4400000,27,27,53,53,2.5,2.5,100000
total time: 24.87 hours.
 --------- CPU info (if available) ----------

GGNFS & Msieve 1.41 

Intel Core2 Q9550 @ 3.4GHz in Vista 64bit

1369709609136682592656525100023141106875403338734672725912380966686549251867588422237017085194072580955377719634852179952645336847983011035458864095081947701512988173142973963<175>

23580467869898578816558113541392511<35>

58086617139822417192309155633607444600006416172320696813705786684420593367822572818386028872976485426874441318380077890295282806517242070133<140>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2046773793
Step 1 took 11001ms
********** Factor found in step 1: 23580467869898578816558113541392511
Found probable prime factor of 35 digits: 23580467869898578816558113541392511
Composite cofactor has 140 digits

GMP-ECM 6.2.2

58086617139822417192309155633607444600006416172320696813705786684420593367822572818386028872976485426874441318380077890295282806517242070133<140>

36377633729069843384746900576312670219318418207511<50>
1596767331609165137658486729516612424808300734794870594375954221339930310023483523489131603<91>

Number: 52229_183
N=58086617139822417192309155633607444600006416172320696813705786684420593367822572818386028872976485426874441318380077890295282806517242070133
  ( 140 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=36377633729069843384746900576312670219318418207511
 r2=1596767331609165137658486729516612424808300734794870594375954221339930310023483523489131603
Version: 
Total time: 110.70 hours.
Scaled time: 581.38 units (timescale=5.252).
Factorization parameters were as follows:
n: 58086617139822417192309155633607444600006416172320696813705786684420593367822572818386028872976485426874441318380077890295282806517242070133
m: 2000000000000000000000000000000000000
deg: 5
c5: 5875
c0: 244
skew: 0.53
# Murphy_E = 4.001e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 9100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21291089
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1812939 x 1813187
Total sieving time: 102.92 hours.
Total relation processing time: 2.86 hours.
Matrix solve time: 4.42 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 110.70 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.. 6799.94 BogoMIPS (lpj=3399973)
Total of 12 processors activated (81599.35 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

25028412317019266319700050889611088430813818793112696998602276670419169705510712320949827088140975298937382874206672586378689071733486774359902659786777<152>

15126888535897401145286506087740019307021708797365789354761737829<65>
1654564470256041208354280920387576403846913175918585631803669037250306974060332105455013<88>

Number: 52229_185
N = 25028412317019266319700050889611088430813818793112696998602276670419169705510712320949827088140975298937382874206672586378689071733486774359902659786777 (152 digits)
SNFS difficulty: 187 digits.
Divisors found:
r1=15126888535897401145286506087740019307021708797365789354761737829 (pp65)
r2=1654564470256041208354280920387576403846913175918585631803669037250306974060332105455013 (pp88)
Version: Msieve v. 1.52 (SVN 956M)
Total time: 14.15 hours.
Factorization parameters were as follows:
n: 25028412317019266319700050889611088430813818793112696998602276670419169705510712320949827088140975298937382874206672586378689071733486774359902659786777
m: 10000000000000000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
# Murphy_E = 5.308e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21879988
Relations: 3152246 relations
Pruned matrix : 1902346 x 1902572
Polynomial selection time: 0.00 hours.
Total sieving time: 12.81 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.12 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,200000
total time: 14.15 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

9376637445301894692630526042340308089577381927812760651326578892014175084978443337190895669157712510157322717408832872581<121>

418959790849984109280420085898543<33>
130459351366153640145461498845742658269799017<45>
171553492944694353363214986772791976579824851<45>

Number: 52229_187
N=9376637445301894692630526042340308089577381927812760651326578892014175084978443337190895669157712510157322717408832872581
  ( 121 digits)
Divisors found:
 r1=418959790849984109280420085898543 (pp33)
 r2=130459351366153640145461498845742658269799017 (pp45)
 r3=171553492944694353363214986772791976579824851 (pp45)
Version: Msieve-1.39
Total time: 44.72 hours.
Scaled time: 115.52 units (timescale=2.583).
Factorization parameters were as follows:
n: 9376637445301894692630526042340308089577381927812760651326578892014175084978443337190895669157712510157322717408832872581
Y0: -235662499711423574126299
Y1:  7140679275653
c0:  3616806725893284226991581464
c1:  3136244370186715815288714
c2: -77509608345842470109
c3: -1117609557837509
c4:  4914956575
c5:  12900
skew: 113010.98
type: gnfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 4720001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 640055 x 640303
Total sieving time: 44.72 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 44.72 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

14825190605439850962196046396915826403982054725688793499617936107831380097860354355915880678838713750208729991853984058107843379434308448585733<143>

34461699539841418825579125628841351<35>
430193252317702480711040497680446163331824874304874768856386928623928612241031321894543131893971208149393683<108>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2141233825
Step 1 took 7765ms
Step 2 took 7620ms
********** Factor found in step 2: 34461699539841418825579125628841351
Found probable prime factor of 35 digits: 34461699539841418825579125628841351
Probable prime cofactor has 108 digits

GMP-ECM 6.2.2

14760921747328822772521947449234206520370229042396193817811910053852239404563260442645496364259348766976237742546284126387408870937095546818346129796239608075543256881180547115134875567<185>

30390445707825038960851973251143484945459001<44>
18358209069653071667212608313170676329147161299343189406442330879<65>
26457335036124703173968663913338261158133741397602332844201758028428386579673<77>

Number: n
N=14760921747328822772521947449234206520370229042396193817811910053852239404563260442645496364259348766976237742546284126387408870937095546818346129796239608075543256881180547115134875567
  ( 185 digits)
SNFS difficulty: 190 digits.
Divisors found:

Sun Mar  7 20:00:49 2010  prp44 factor: 30390445707825038960851973251143484945459001
Sun Mar  7 20:00:49 2010  prp65 factor: 18358209069653071667212608313170676329147161299343189406442330879
Sun Mar  7 20:00:49 2010  prp77 factor: 26457335036124703173968663913338261158133741397602332844201758028428386579673
Sun Mar  7 20:00:49 2010  elapsed time 06:37:29 (Msieve 1.42 - dependency 2)

Version: 
Total time: 13.33 hours.
Scaled time: 11.22 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_5_2_188_9
n: 14760921747328822772521947449234206520370229042396193817811910053852239404563260442645496364259348766976237742546284126387408870937095546818346129796239608075543256881180547115134875567
m: 10000000000000000000000000000000000000
deg: 5
c5: 470000
c0: 61
skew: 0.17
type: snfs
lss: 1
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 8147621)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4104887 hash collisions in 29975781 relations
Msieve: matrix is 1571864 x 1572089 (419.4 MB)

Total sieving time: 13.33 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,190,5,0,0,0,0,0,0,0,0,10500000,10500000,28,28,56,56,2.5,2.5,100000
total time: 13.33 hours.
 --------- CPU info (if available) ----------

5987770375419670325338036810551066274805708515520689186191644835658803527275541986386440695319841190999809718556783381799527871534043213542571117234107822252540653280013<169>

93603981074749332057833540879042243<35>

63969184928555725419888542337471071127268261667483265316817211212893362944495734135745868593470357733678892956596854054764423090641391<134>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2046487259
Step 1 took 8953ms
Step 2 took 8917ms
********** Factor found in step 2: 93603981074749332057833540879042243
Found probable prime factor of 35 digits: 93603981074749332057833540879042243
Composite cofactor has 134 digits

GMP-ECM 6.2.2

63969184928555725419888542337471071127268261667483265316817211212893362944495734135745868593470357733678892956596854054764423090641391<134>

697612395025415850613547631322889179592028979105250284471357<60>
91697316998252532639414805786020554205623777915759292390459284657613028763<74>

Number: n
N=63969184928555725419888542337471071127268261667483265316817211212893362944495734135745868593470357733678892956596854054764423090641391
  ( 134 digits)
Divisors found:

Sun Apr 29 19:15:43 2012  prp60 factor: 697612395025415850613547631322889179592028979105250284471357
Sun Apr 29 19:15:43 2012  prp74 factor: 91697316998252532639414805786020554205623777915759292390459284657613028763
Sun Apr 29 19:15:43 2012  elapsed time 03:40:00 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.079).
Factorization parameters were as follows:
name: KA_52229_190
n: 63969184928555725419888542337471071127268261667483265316817211212893362944495734135745868593470357733678892956596854054764423090641391
skew: 50872.05
# norm 4.17e+17
c5: 387720
c4: 241619553384
c3: -4339024667356700
c2: -214711831688404545667
c1: -1080059876681709267172962
c0: -43269360963655270103258156520
# alpha -4.56
Y1: 908147719083989
Y0: -44003721312603629867090791
# Murphy_E 4.55e-11
# M 16770881849675468776030020313947940076456404038566573488654270352652188631382128387304710207315538304973551683244878107321942872645725
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, 23820000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3247201 hash collisions in 13035470 relations (9537621 unique)
Msieve: matrix is 1413279 x 1413504 (408.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,133,5,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) ----------

3960022500052568767482412129258933832274081517595284498776723671764933940648784282207445085157433523333049987889682111023690455185091782142869160593417224129<157>

293910169349421851875974946550585202825241561303857713700527<60>
13473581090501857087626441503511549792087183835102366167451993277172966373518877385456274911683727<98>

3960022500052568767482412129258933832274081517595284498776723671764933940648784282207445085157433523333049987889682111023690455185091782142869160593417224129=293910169349421851875974946550585202825241561303857713700527*13473581090501857087626441503511549792087183835102366167451993277172966373518877385456274911683727

cado polynomial
n: 3960022500052568767482412129258933832274081517595284498776723671764933940648784282207445085157433523333049987889682111023690455185091782142869160593417224129
skew: 0.42
type: snfs
c0: 61
c5: 4700
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 4700*x^5+61
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 293910169349421851875974946550585202825241561303857713700527 13473581090501857087626441503511549792087183835102366167451993277172966373518877385456274911683727
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.14/2.12525
Info:Generate Free Relations: Total cpu/real time for freerel: 99.72/25.7816
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31922523
Info:Lattice Sieving: Average J: 1893.82 for 5422262 special-q, max bucket fill -bkmult 1.0,1s:1.081690
Info:Lattice Sieving: Total time: 1.20472e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 62.35/165.253
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 164.20000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 534.75/543.853
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 475.70000000000005s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 444.85/529.307
Info:Filtering - Merging: Merged matrix has 3013626 rows and total weight 519149787 (172.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 426.86/123.555
Info:Filtering - Merging: Total cpu/real time for replay: 118.01/103.765
Info:Linear Algebra: Total cpu/real time for bwc: 166712/42697.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 27199.69, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (94208 iterations)
Info:Linear Algebra: Lingen CPU time 641.19, WCT time 184.07
Info:Linear Algebra: Mksol: WCT time 14962.3, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47104 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 105.65/44.5499
Info:Square Root: Total cpu/real time for sqrt: 926.56/290.183
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.39494e+06/130993
Info:root: Cleaning up computation data in /tmp/cado.8scpuzrm
293910169349421851875974946550585202825241561303857713700527 13473581090501857087626441503511549792087183835102366167451993277172966373518877385456274911683727

cado-nfs-3.0.0

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

931725509687744139255081579863422770355653993751208869796014944927240819882115141648448186094926600443458086354442528377048995937<129>

31449927846139949578368413117292041321098081<44>
29625680359139544392198050797703384493675531341424132839677447733601178686924939627777<86>

Number: 3
N=931725509687744139255081579863422770355653993751208869796014944927240819882115141648448186094926600443458086354442528377048995937
  ( 129 digits)
Divisors found:
 r1=31449927846139949578368413117292041321098081 (pp44)
 r2=29625680359139544392198050797703384493675531341424132839677447733601178686924939627777 (pp86)
Version: Msieve v. 1.43
Total time: 3.85 hours.
Scaled time: 9.26 units (timescale=2.401).
Factorization parameters were as follows:
# Murphy_E = 8.106731e-11, selected by Jeff Gilchrist
n: 931725509687744139255081579863422770355653993751208869796014944927240819882115141648448186094926600443458086354442528377048995937
Y0: -7121104992231479148033256
Y1: 194953621636543
c0: 1378095214807450998415853130174615
c1: 12761892213051158145976133547
c2: -1012692872261243369043
c3: -72969976797160827
c4: 16857118028
c5: 50880
skew: 657999.41
type: gnfs
# selected mechanically
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4600000, 4600000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1345651 x 1345876
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 3.33 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9200000,9200000,28,28,53,53,2.5,2.5,100000
total time: 3.85 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<197>

1579229435921678256326591199705715594120801084508283699645866680988859851099<76>
33068166685826757029330791732171671095878658225580448280795059966475529175322301526715686040210443228306558116508701585871<122>

Number: 52229_196
N=52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 197 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=1579229435921678256326591199705715594120801084508283699645866680988859851099
 r2=33068166685826757029330791732171671095878658225580448280795059966475529175322301526715686040210443228306558116508701585871
Version: 
Total time: 419.87 hours.
Scaled time: 1003.49 units (timescale=2.390).
Factorization parameters were as follows:
n: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
m: 1000000000000000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [9000000, 18400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 24409029
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2823593 x 2823841
Total sieving time: 384.51 hours.
Total relation processing time: 12.75 hours.
Matrix solve time: 21.79 hours.
Time per square root: 0.82 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,18000000,18000000,28,28,55,55,2.5,2.5,100000
total time: 419.87 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core 2 Quad Q6700

782941862402132267199733466600033316674995835415625520573046809928369148758953856405130767949358654006330168249208728968848908878893886390138264201232716974845910378144261202731967349658504081292687<198>

1821402884526033038533370786121841309816963740679<49>
429856496359875945099381474633284382898100856895829070340592911058234885519310144276396296060479619834175215447282578435029435921107042424727017527353<150>

Number: 52229_200
N=782941862402132267199733466600033316674995835415625520573046809928369148758953856405130767949358654006330168249208728968848908878893886390138264201232716974845910378144261202731967349658504081292687
  ( 198 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=1821402884526033038533370786121841309816963740679
 r2=429856496359875945099381474633284382898100856895829070340592911058234885519310144276396296060479619834175215447282578435029435921107042424727017527353
Version: 
Total time: 879.42 hours.
Scaled time: 1768.52 units (timescale=2.011).
Factorization parameters were as follows:
n: 782941862402132267199733466600033316674995835415625520573046809928369148758953856405130767949358654006330168249208728968848908878893886390138264201232716974845910378144261202731967349658504081292687
m: 10000000000000000000000000000000000000000
deg: 5
c5: 47
c0: 61
skew: 1.05
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8050000, 17750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3153324 x 3153572
Total sieving time: 879.42 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time: 879.42 hours.
 --------- CPU info (if available) ----------

18468069677985447348595991085277919295493721698112076946693120660705930326801160462605078657547062817127194891913789323089501242259893980564889949167558401391041733282874818753929<179>

415435917277575359054208110528438256596382749<45>
1727515888492707168571057438566403935020436964953715484537<58>
25733295817523812494612648019305010403583406585598483183098285605035498659333<77>

#
# N = 47x10^201+61 = 52(200)9
#
n: 18468069677985447348595991085277919295493721698112076946693120660705930326801160462605078657547062817127194891913789323089501242259893980564889949167558401391041733282874818753929
m: 10000000000000000000000000000000000000000
deg: 5
c5: 470
c0: 61
skew: 0.66
# Murphy_E = 1.053e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 18468069677985447348595991085277919295493721698112076946693120660705930326801160462605078657547062817127194891913789323089501242259893980564889949167558401391041733282874818753929 (179 di
gits)
Using B1=45020000, B2=240492732496, polynomial Dickson(12), sigma=1:3380286521
Step 1 took 119506ms
Step 2 took 37931ms
********** Factor found in step 2: 415435917277575359054208110528438256596382749
Found prime factor of 45 digits: 415435917277575359054208110528438256596382749
Composite cofactor 44454677388055314223029856281311453132024535412162520333062706974740519708624522029786419072985819250660091924878279595983185992233821 has 134 digits


CADO

STA:Tue 06 Jul 2021 19:21:47 AEST (44,454,677,388,055,314,223,029,856,281,311,453,132,024,535,412,162,520,333,062,706,974,740,519,708,624,522,029,786,419,072,985,819,250,660,091,924,878,279,595,983,185,9
92,233,821 - C134)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 44454677388055314223029856281311453132024535412162520333062706974740519708624522029786419072985819250660091924878279595983185992233821 2>&1
 | tee -a log20

Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c135
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.app3ilfp
Info:Database: Opened connection to database /tmp/cado.app3ilfp/c135.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors 4445467738805531422302985628131145313202453541216252033306270697474051970862452202978641907298581925066
0091924878279595983185992233821
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py /tmp/cado.app3ilfp/c135.parameters_snapshot.0

Info:Server Launcher: Adding linux-6 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,linux-6
Info:Complete Factorization: Factoring 44454677388055314223029856281311453132024535412162520333062706974740519708624522029786419072985819250660091924878279595983185992233821
...
n: 44454677388055314223029856281311453132024535412162520333062706974740519708624522029786419072985819250660091924878279595983185992233821
skew: 181502.119
c0: 19342805670753901467360014441600
c1: 270807821887577198882180980
c2: 1086143123176080905157
c3: -24948051001850807
c4: 963517836
c5: 180000
Y0: -62941594139674462331938026
Y1: 577182716820205693
# MurphyE (Bf=1.64e+07,Bg=3.34e+06,area=5.51e+14) = 3.78e-10
# f(x) = 180000*x^5+963517836*x^4-24948051001850807*x^3+1086143123176080905157*x^2+270807821887577198882180980*x+19342805670753901467360014441600
# g(x) = 577182716820205693*x-62941594139674462331938026
...
Info:Square Root: Factors: 25733295817523812494612648019305010403583406585598483183098285605035498659333 1727515888492707168571057438566403935020436964953715484537
Info:Square Root: Total cpu/real time for sqrt: 1201.53/165.542
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 35600.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 36010/40.410/48.046/52.650/0.993
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 36010/38.830/42.978/48.760/1.268
Info:Polynomial Selection (size optimized): Total time: 8996.9
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2879.65
Info:Polynomial Selection (root optimized): Rootsieve time: 2878.63
Info:Generate Factor Base: Total cpu/real time for makefb: 21.41/1.96799
Info:Generate Free Relations: Total cpu/real time for freerel: 307.26/20.7002
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19120431
Info:Lattice Sieving: Average J: 3807.74 for 724078 special-q, max bucket fill: 0.735314
Info:Lattice Sieving: Total CPU time: 554677s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.94/64.5339
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 64.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 309.26/94.0865
Info:Filtering - Singleton removal: Total cpu/real time for purge: 219.51/81.2223
Info:Filtering - Merging: Total cpu/real time for merge: 518.47/423.782
Info:Filtering - Merging: Total cpu/real time for replay: 41.82/32.6452
Info:Linear Algebra: Total cpu/real time for bwc: 39047.6/0.000244856
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1651.12
Info:Linear Algebra: Lingen CPU time 293.64, WCT time 28.81
Info:Linear Algebra: Mksol: WCT time 895.94
Info:Quadratic Characters: Total cpu/real time for characters: 42.66/10.3226
Info:Square Root: Total cpu/real time for sqrt: 1201.53/165.542
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 608315/40345
Info:root: Cleaning up computation data in /tmp/cado.app3ilfp
25733295817523812494612648019305010403583406585598483183098285605035498659333 1727515888492707168571057438566403935020436964953715484537

END:Wed 07 Jul 2021 06:34:13 AEST (44,454,677,388,055,314,223,029,856,281,311,453,132,024,535,412,162,520,333,062,706,974,740,519,708,624,522,029,786,419,072,985,819,250,660,091,924,878,279,595,983,185,9
92,233,821 - C134)

60309806769067453478798491937303351328545411875364204694156068072738920348778670301762228581576300711935948422364956649991658232807060243571107213573703990887779759656888787<173>

11094611129732754919972329825485204886689633468092262154990885473284688841752183<80>
5435954993270700214798960105705091871630794604126334709492294063804386909552008393437921491589<94>

Number: n
N=60309806769067453478798491937303351328545411875364204694156068072738920348778670301762228581576300711935948422364956649991658232807060243571107213573703990887779759656888787  ( 173 digits)
SNFS difficulty: 203 digits.
Divisors found:

Wed Nov 24 01:24:15 2021  p80 factor: 11094611129732754919972329825485204886689633468092262154990885473284688841752183
Wed Nov 24 01:24:15 2021  p94 factor: 5435954993270700214798960105705091871630794604126334709492294063804386909552008393437921491589
Wed Nov 24 01:24:15 2021  elapsed time 03:01:43 (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 = 47x10^202+61 = 52(201)9
#
n: 60309806769067453478798491937303351328545411875364204694156068072738920348778670301762228581576300711935948422364956649991658232807060243571107213573703990887779759656888787
m: 10000000000000000000000000000000000000000
deg: 5
c5: 4700
c0: 61
skew: 0.42
# Murphy_E = 7.194e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 71900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10879744 hash collisions in 65355938 relations (56581740 unique)
Msieve: matrix is 2759454 x 2759681 (949.7 MB)

Sieving start time : 2021/11/22 17:13:37
Sieving end time  : 2021/11/23 22:21:00

Total sieving time: 29hrs 7min 23secs.

Total relation processing time: 2hrs 40min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 14sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117806] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239948K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487288K reserved, 0K cma-reserved)
[    0.152615] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798284)
[    0.150213] smpboot: Total of 16 processors activated (102386.27 BogoMIPS)

26739786533245885037662077530957968667379269514761418496870198585516262634519098079867441653360734215596840718658531018253377868086669413932668708746729647371619487734249208535627998200708845687<194>

222814515928552546450240458078968957<36>

120009176340289405066318958397618467197138668739675307820543325707746638616118130891013829394440672341003140456664643255964330119087962151432353740063272965891<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1169588101
Step 1 took 84229ms
Step 2 took 29465ms
********** Factor found in step 2: 222814515928552546450240458078968957
Found probable prime factor of 36 digits: 222814515928552546450240458078968957
Composite cofactor 120009176340289405066318958397618467197138668739675307820543325707746638616118130891013829394440672341003140456664643255964330119087962151432353740063272965891 has 159 digits

120009176340289405066318958397618467197138668739675307820543325707746638616118130891013829394440672341003140456664643255964330119087962151432353740063272965891<159>

4385253989569270533776671018621661869<37>
27366528056468851212074843436957186906076931664429244140930164801842994994512733673659083597723369535005852381030431037039<122>

120009176340289405066318958397618467197138668739675307820543325707746638616118130891013829394440672341003140456664643255964330119087962151432353740063272965891
=4385253989569270533776671018621661869 * 27366528056468851212074843436957186906076931664429244140930164801842994994512733673659083597723369535005852381030431037039

350632967108389602464278333941345818851072750372454274103964912830406294085567872471059724730739992226392516448043281536637787938673548025153066210694603907841719802481735379537806067143975118487831917<201>

20194671096761091832186829435988704365487<41>
9471896794686022886422445694883334722867319<43>
1833069811112554214479030625907879474746219426511471381872548281127265355644588248308625697591882480899120783940961589<118>

Sun Dec 20 15:19:03 2009  Msieve v. 1.43
Sun Dec 20 15:19:03 2009  random seeds: 5540a3c0 8848d85a
Sun Dec 20 15:19:03 2009  factoring
350632967108389602464278333941345818851072750372454274103964912830406294085567872471059724730739992226392516448043281536637787938673548025153066210694603907841719802481735379537806067143975118487831917
(201 digits)
Sun Dec 20 15:19:05 2009  no P-1/P+1/ECM available, skipping
Sun Dec 20 15:19:05 2009  commencing number field sieve (201-digit input)
Sun Dec 20 15:19:05 2009  R0: -100000000000000000000000000000000000000000
Sun Dec 20 15:19:05 2009  R1:  1
Sun Dec 20 15:19:05 2009  A0:  61
Sun Dec 20 15:19:05 2009  A1:  0
Sun Dec 20 15:19:05 2009  A2:  0
Sun Dec 20 15:19:05 2009  A3:  0
Sun Dec 20 15:19:05 2009  A4:  0
Sun Dec 20 15:19:05 2009  A5:  47
Sun Dec 20 15:19:05 2009  skew 1.05, size 2.211741e-14, alpha
0.903629, combined = 7.847376e-12
Sun Dec 20 15:19:05 2009
Sun Dec 20 15:19:05 2009  commencing linear algebra
Sun Dec 20 15:19:06 2009  read 2801241 cycles
Sun Dec 20 15:19:13 2009  cycles contain 7840037 unique relations
Sun Dec 20 15:20:33 2009  read 7840037 relations
Sun Dec 20 15:20:48 2009  using 20 quadratic characters above 536866608
Sun Dec 20 15:21:44 2009  building initial matrix
Sun Dec 20 15:24:22 2009  memory use: 1037.1 MB
Sun Dec 20 15:24:27 2009  read 2801241 cycles
Sun Dec 20 15:24:30 2009  matrix is 2800834 x 2801241 (826.2 MB) with
weight 244934261 (87.44/col)
Sun Dec 20 15:24:30 2009  sparse part has weight 185757819 (66.31/col)
Sun Dec 20 15:25:51 2009  filtering completed in 3 passes
Sun Dec 20 15:25:52 2009  matrix is 2794922 x 2795122 (825.1 MB) with
weight 244600938 (87.51/col)
Sun Dec 20 15:25:52 2009  sparse part has weight 185554338 (66.39/col)
Sun Dec 20 15:26:18 2009  read 2795122 cycles
Sun Dec 20 15:26:21 2009  matrix is 2794922 x 2795122 (825.1 MB) with
weight 244600938 (87.51/col)
Sun Dec 20 15:26:21 2009  sparse part has weight 185554338 (66.39/col)
Sun Dec 20 15:26:22 2009  saving the first 48 matrix rows for later
Sun Dec 20 15:26:24 2009  matrix is 2794874 x 2795122 (786.2 MB) with
weight 193230385 (69.13/col)
Sun Dec 20 15:26:24 2009  sparse part has weight 178134501 (63.73/col)
Sun Dec 20 15:26:24 2009  matrix includes 64 packed rows
Sun Dec 20 15:26:24 2009  using block size 65536 for processor cache
size 6144 kB
Sun Dec 20 15:26:40 2009  commencing Lanczos iteration (5 threads)
Sun Dec 20 15:26:40 2009  memory use: 868.2 MB
Sun Dec 20 15:26:55 2009  linear algebra at 0.0%, ETA 14h22m
Mon Dec 21 04:57:45 2009  lanczos halted after 44202 iterations (dim = 2794871)
Mon Dec 21 04:57:53 2009  recovered 35 nontrivial dependencies
Mon Dec 21 04:57:54 2009  BLanczosTime: 49129
Mon Dec 21 04:57:54 2009  elapsed time 13:38:51
Mon Dec 21 05:37:36 2009
Mon Dec 21 05:37:36 2009
Mon Dec 21 05:37:36 2009  Msieve v. 1.43
Mon Dec 21 05:37:36 2009  random seeds: 0aeca43c 249cbc15
Mon Dec 21 05:37:36 2009  factoring
350632967108389602464278333941345818851072750372454274103964912830406294085567872471059724730739992226392516448043281536637787938673548025153066210694603907841719802481735379537806067143975118487831917
(201 digits)
Mon Dec 21 05:37:38 2009  no P-1/P+1/ECM available, skipping
Mon Dec 21 05:37:38 2009  commencing number field sieve (201-digit input)
Mon Dec 21 05:37:38 2009  R0: -100000000000000000000000000000000000000000
Mon Dec 21 05:37:38 2009  R1:  1
Mon Dec 21 05:37:38 2009  A0:  61
Mon Dec 21 05:37:38 2009  A1:  0
Mon Dec 21 05:37:38 2009  A2:  0
Mon Dec 21 05:37:38 2009  A3:  0
Mon Dec 21 05:37:39 2009  A4:  0
Mon Dec 21 05:37:39 2009  A5:  47
Mon Dec 21 05:37:39 2009  skew 1.05, size 2.211741e-14, alpha
0.903629, combined = 7.847376e-12
Mon Dec 21 05:37:39 2009
Mon Dec 21 05:37:39 2009  commencing square root phase
Mon Dec 21 05:37:39 2009  reading relations for dependency 1
Mon Dec 21 05:37:39 2009  read 1398917 cycles
Mon Dec 21 05:37:43 2009  cycles contain 3920050 unique relations
Mon Dec 21 05:38:29 2009  read 3920050 relations
Mon Dec 21 05:38:59 2009  multiplying 3920050 relations
Mon Dec 21 05:42:51 2009  multiply complete, coefficients have about
115.67 million bits
Mon Dec 21 05:42:52 2009  initial square root is modulo 200748451
Mon Dec 21 05:50:46 2009  reading relations for dependency 2
Mon Dec 21 05:50:46 2009  read 1397154 cycles
Mon Dec 21 05:50:50 2009  cycles contain 3917288 unique relations
Mon Dec 21 05:51:37 2009  read 3917288 relations
Mon Dec 21 05:52:06 2009  multiplying 3917288 relations
Mon Dec 21 05:55:55 2009  multiply complete, coefficients have about
115.60 million bits
Mon Dec 21 05:55:56 2009  initial square root is modulo 198217301
Mon Dec 21 06:03:50 2009  sqrtTime: 1571
Mon Dec 21 06:03:50 2009  prp41 factor:
20194671096761091832186829435988704365487
Mon Dec 21 06:03:50 2009  prp43 factor:
9471896794686022886422445694883334722867319
Mon Dec 21 06:03:50 2009  prp118 factor:
1833069811112554214479030625907879474746219426511471381872548281127265355644588248308625697591882480899120783940961589
Mon Dec 21 06:03:50 2009  elapsed time 00:26:14

ggnfs-lasieve4I14e on the RSALS grid + msieve (Lionel Debroux + Jeff Gilchrist)

22886087347676834882827571208934998492114644528926887103197767967492592008289518799995970621889722489972344374128553335458209423876680147434838871689<149>

18823292167671845798824969018442710830321024762783414061189<59>
1215838714280951146360069262962776768163933171686400646814057061670107480989390683347144501<91>

1215838714280951146360069262962776768163933171686400646814057061670107480989390683347144501
18823292167671845798824969018442710830321024762783414061189

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

42922766592641068818755228257929468600981417024661394583483048914703045844237780033669624743405554348211440874052509614488168272660312205057141751207310277948868024128823485503731391391<185>

47868323574974187327656654972610491<35>

896684140722264987586316698537256904139272427019547258672689619637874042334895047970086672453033212892129590205050494321483644098361826262806816129901<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2079500581
Step 1 took 22774ms
Step 2 took 9241ms
********** Factor found in step 2: 47868323574974187327656654972610491
Found probable prime factor of 35 digits: 47868323574974187327656654972610491

896684140722264987586316698537256904139272427019547258672689619637874042334895047970086672453033212892129590205050494321483644098361826262806816129901<150>

13831008491491276795176043774690687708235801641<47>
64831435919795561603417317089373677233028552499285804704406922847348698945991030959254838815506722237861<104>

CADO:

STA:Thu May 9 11:43:54 PM AEST 2024 (896684140722264987586316698537256904139272427019547258672689619637874042334895047970086672453033212892129590205050494321483644098361826262806816129901 - C150)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 896684140722264987586316698537256904139272427019547258672689619637874042334895047970086672453033212892129590205050494321483644098361826262806816129901 2>&1 | tee -a log-11 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c150 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c150
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c150
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.k8_0cwug
Info:Database: Opened connection to database /tmp/cado.k8_0cwug/c150.db
Info:root: Set tasks.threads=20 based on --server-threads 20
Info:root: tasks.threads = 20 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 896684140722264987586316698537256904139272427019547258672689619637874042334895047970086672453033212892129590205050494321483644098361826262806816129901
Debug:root: Root parameter dictionary:
N = 896684140722264987586316698537256904139272427019547258672689619637874042334895047970086672453033212892129590205050494321483644098361826262806816129901
name = c150
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 896684140722264987586316698537256904139272427019547258672689619637874042334895047970086672453033212892129590205050494321483644098361826262806816129901
skew: 173368.729
c0: 676771003674425485085040019561000
c1: 13341173519254482362333562710
c2: 99975979849267688833861
c3: 324499482909907681
c4: -4585559580176
c5: 776160 
Y0: -34959737987124717301172436126
Y1: 292781927079785644012873
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=4.027e+14) = 5.706e-07
# f(x) = 776160*x^5-4585559580176*x^4+324499482909907681*x^3+99975979849267688833861*x^2+13341173519254482362333562710*x+676771003674425485085040019561000
# g(x) = 292781927079785644012873*x-34959737987124717301172436126
===
Debug:Command: Process with PID 690784 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 64831435919795561603417317089373677233028552499285804704406922847348698945991030959254838815506722237861 13831008491491276795176043774690687708235801641
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 4841.38/528.466
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 10.09/1.57836
Info:Filtering - Merging: Total cpu/real time for merge: 419.74/58.7239
Info:Filtering - Merging: Total cpu/real time for replay: 63.35/56.1999
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6142.49
Info:Polynomial Selection (root optimized): Rootsieve time: 6141.91
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 163037914
Info:Lattice Sieving: Average J: 7607.29 for 909472 special-q, max bucket fill -bkmult 1.0,1s:1.115720
Info:Lattice Sieving: Total time: 1.9645e+06s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 161982
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 112844/46.020/56.410/70.220/2.646
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 96135/44.120/48.938/62.100/1.518
Info:Polynomial Selection (size optimized): Total time: 77532.7
Info:Quadratic Characters: Total cpu/real time for characters: 105.31/27.2295 
Info:Filtering - Singleton removal: Total cpu/real time for purge: 914.84/765.963
Info:Linear Algebra: Total cpu/real time for bwc: 153533/17958.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 96503.54, WCT time 11204.58, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (108000 iterations)
Info:Linear Algebra: Lingen CPU time 142.27, WCT time 144.05
Info:Linear Algebra: Mksol: CPU time 48871.8,  WCT time 5728.14, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (52000 iterations)
Info:Square Root: Total cpu/real time for sqrt: 4841.38/528.466
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2193.85/1438.06
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1244.3000000000002s
Info:Generate Free Relations: Total cpu/real time for freerel: 912.38/104.171
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 757.09/663.152
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 662.9s
Info:HTTP server: Shutting down HTTP server
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 2.11818e+06/228376 [2d 15:26:16]
Info:root: Cleaning up computation data in /tmp/cado.k8_0cwug
64831435919795561603417317089373677233028552499285804704406922847348698945991030959254838815506722237861 13831008491491276795176043774690687708235801641

END:Sun May 12 03:10:11 PM AEST 2024 (896684140722264987586316698537256904139272427019547258672689619637874042334895047970086672453033212892129590205050494321483644098361826262806816129901 - C150)

193415637860082304526748971193415637860082304526748971193415637860082304526748971193415637860082304526748971193415637860082304526748971193415637860082304526748971193415637860082304526748971193415637860082304527<210>

1681168834910816517640498457807<31>

115048312723654976446806112492815930064121857234738837033727180507452502383356598002143872155530080111302238156025664112815845911345438401972993451620408139312583874620125251936961<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3155119996
Step 1 took 26679ms
Step 2 took 10307ms
********** Factor found in step 2: 1681168834910816517640498457807
Found probable prime factor of 31 digits: 1681168834910816517640498457807

115048312723654976446806112492815930064121857234738837033727180507452502383356598002143872155530080111302238156025664112815845911345438401972993451620408139312583874620125251936961<180>

609889037568493449191774794647883649873369<42>
188638105682846450473518184826175588756941060068281536773151361921438408385243683467212262421780051494804865446671878876364661592478710569<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2799143315
Step 1 took 32142ms
Step 2 took 11112ms
********** Factor found in step 2: 609889037568493449191774794647883649873369
Found probable prime factor of 42 digits: 609889037568493449191774794647883649873369

350107781301142641317809028059487293838277659799017408235514849596933585169963919753356130687409248153788458189603783086329260122845086856367113957050182122695907883661142955742647902603<186>

16614761702690402342585980439893<32>

21072091647540767111097288632807958027307108201927462407069569709956505411304986082644265755046741318814592286702526107951009293093150749781387904300741471<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=914527662
Step 1 took 22897ms
********** Factor found in step 1: 16614761702690402342585980439893
Found probable prime factor of 32 digits: 16614761702690402342585980439893

21072091647540767111097288632807958027307108201927462407069569709956505411304986082644265755046741318814592286702526107951009293093150749781387904300741471<155>

20882859778204102034766219763562236729<38>
1009061587892965240395337855515091876727145414411080733232451855529737114221369150098688808340507082211822525241555799<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2370844119
Step 1 took 20887ms
Step 2 took 7841ms
********** Factor found in step 2: 20882859778204102034766219763562236729
Found probable prime factor of 38 digits: 20882859778204102034766219763562236729

5642179254179958449181656028933159039289087680830037619233530651092908551276840044379715418043519154100439198901148261095319797148645635550028824276059833502984373112304434226897983<181>

36619529334808350567661793348057531<35>
154075690121359310139547755470653033307339950933661346769721187353256132588878647103127530367792875725284275774970855664194879422744738992447759693<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3829028127
Step 1 took 22749ms
Step 2 took 8936ms
********** Factor found in step 2: 36619529334808350567661793348057531
Found probable prime factor of 35 digits: 36619529334808350567661793348057531

42428823182662106101159323580567012087366216214373184454673823397219919560785954515651441224521438441707512899508103835478035779622279529627851180733490399017458154876923123368354716927039778219409<197>

589672226758273838055062418625045001732769389763087624893314894001640498814946487731873294270926877294204371880108553299283864586420224590944437108138234038295234106943<168>

18916909613450531853804251601758550527038467317291948396828854717668951883166176693150297295426531206158554957577318056927197812190732765068476539870142817571323382991574297235309375629008974090324489<200>

488041905068745032003603784852631913984663701<45>
38760830611022873769339989150156842999773842217094576775506670422448022431468108058263147699499672331704008449781967861594096169635973191439195838664385189<155>

Number: n
N=18916909613450531853804251601758550527038467317291948396828854717668951883166176693150297295426531206158554957577318056927197812190732765068476539870142817571323382991574297235309375629008974090324489  ( 200 digits)
SNFS difficulty: 217 digits.
Divisors found:

Sat Nov  7 11:37:56 2020  p45 factor: 488041905068745032003603784852631913984663701
Sat Nov  7 11:37:56 2020  p155 factor: 38760830611022873769339989150156842999773842217094576775506670422448022431468108058263147699499672331704008449781967861594096169635973191439195838664385189
Sat Nov  7 11:37:56 2020  elapsed time 06:28:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 47x10^216+61 = 52(215)9
#
n: 18916909613450531853804251601758550527038467317291948396828854717668951883166176693150297295426531206158554957577318056927197812190732765068476539870142817571323382991574297235309375629008974090324489
m: 1000000000000000000000000000000000000
deg: 6
c6: 47
c0: 61
skew: 1.04
# Murphy_E = 2.398e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 49400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10489773 hash collisions in 62622649 relations (53391606 unique)
Msieve: matrix is 3974757 x 3974982 (1386.5 MB)

Sieving start time: 2020/11/06 10:30:09
Sieving end time  : 2020/11/07 05:08:49

Total sieving time: 18hrs 38min 40secs.

Total relation processing time: 5hrs 56min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 48sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118294] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242460K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484776K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798568)
[    0.152036] smpboot: Total of 16 processors activated (102388.54 BogoMIPS)

52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<218>

98196822291987017003179587967833368529376409955839<50>
531811732837342747647725554123297818219750938559621417351282351990709770571743142991528778576012570822893173012565006469267460844209764920664880477080062699624995772011<168>

# siever: 14e
# qrange: 1M .. 76.4M
# params: rlim=alim: 31000000, lpbr=lpba: 29, mfbr=mfba: 58, rlambda=alambda: 2.6
# very bad params
Thu Feb 16 15:35:05 2017  
Thu Feb 16 15:35:06 2017  
Thu Feb 16 15:35:06 2017  Msieve v. 1.53 (SVN unknown)
Thu Feb 16 15:35:06 2017  random seeds: ae5ecff0 49a2541b
Thu Feb 16 15:35:06 2017  factoring 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229 (218 digits)
Thu Feb 16 15:35:08 2017  no P-1/P+1/ECM available, skipping
Thu Feb 16 15:35:08 2017  commencing number field sieve (218-digit input)
Thu Feb 16 15:35:08 2017  R0: -1000000000000000000000000000000000000
Thu Feb 16 15:35:08 2017  R1: 1
Thu Feb 16 15:35:08 2017  A0: 61
Thu Feb 16 15:35:08 2017  A1: 0
Thu Feb 16 15:35:08 2017  A2: 0
Thu Feb 16 15:35:08 2017  A3: 0
Thu Feb 16 15:35:08 2017  A4: 0
Thu Feb 16 15:35:08 2017  A5: 0
Thu Feb 16 15:35:08 2017  A6: 470
Thu Feb 16 15:35:08 2017  skew 0.71, size 2.854e-011, alpha 1.610, combined = 1.394e-012 rroots = 0
Thu Feb 16 15:35:08 2017  
Thu Feb 16 15:35:08 2017  commencing relation filtering
Thu Feb 16 15:35:08 2017  estimated available RAM is 24567.3 MB
Thu Feb 16 15:35:08 2017  commencing duplicate removal, pass 1
Thu Feb 16 15:49:48 2017  skipped 4 relations with b > 2^32
Thu Feb 16 15:49:48 2017  skipped 2 relations with composite factors
Thu Feb 16 15:49:48 2017  found 16177186 hash collisions in 64028044 relations
Thu Feb 16 15:50:18 2017  added 1218575 free relations
Thu Feb 16 15:50:18 2017  commencing duplicate removal, pass 2
Thu Feb 16 15:50:57 2017  found 18251817 duplicates and 46994802 unique relations
Thu Feb 16 15:50:57 2017  memory use: 362.4 MB
Thu Feb 16 15:50:58 2017  reading ideals above 720000
Thu Feb 16 15:50:58 2017  commencing singleton removal, initial pass
Thu Feb 16 16:01:09 2017  memory use: 1378.0 MB
Thu Feb 16 16:01:10 2017  reading all ideals from disk
Thu Feb 16 16:01:11 2017  memory use: 1724.0 MB
Thu Feb 16 16:01:17 2017  keeping 49883696 ideals with weight <= 200, target excess is 261012
Thu Feb 16 16:01:23 2017  commencing in-memory singleton removal
Thu Feb 16 16:01:28 2017  begin with 46994802 relations and 49883696 unique ideals
Thu Feb 16 16:02:17 2017  reduce to 23358469 relations and 22674646 ideals in 18 passes
Thu Feb 16 16:02:17 2017  max relations containing the same ideal: 129
Thu Feb 16 16:02:29 2017  removing 1811858 relations and 1621333 ideals in 190525 cliques
Thu Feb 16 16:02:30 2017  commencing in-memory singleton removal
Thu Feb 16 16:02:32 2017  begin with 21546611 relations and 22674646 unique ideals
Thu Feb 16 16:02:52 2017  reduce to 21418347 relations and 20923420 ideals in 9 passes
Thu Feb 16 16:02:52 2017  max relations containing the same ideal: 125
Thu Feb 16 16:03:03 2017  removing 1322205 relations and 1131680 ideals in 190525 cliques
Thu Feb 16 16:03:03 2017  commencing in-memory singleton removal
Thu Feb 16 16:03:06 2017  begin with 20096142 relations and 20923420 unique ideals
Thu Feb 16 16:03:22 2017  reduce to 20024092 relations and 19719007 ideals in 8 passes
Thu Feb 16 16:03:22 2017  max relations containing the same ideal: 120
Thu Feb 16 16:03:36 2017  relations with 0 large ideals: 9098
Thu Feb 16 16:03:36 2017  relations with 1 large ideals: 5055
Thu Feb 16 16:03:36 2017  relations with 2 large ideals: 38420
Thu Feb 16 16:03:36 2017  relations with 3 large ideals: 274303
Thu Feb 16 16:03:36 2017  relations with 4 large ideals: 1164849
Thu Feb 16 16:03:36 2017  relations with 5 large ideals: 3024446
Thu Feb 16 16:03:36 2017  relations with 6 large ideals: 4950512
Thu Feb 16 16:03:36 2017  relations with 7+ large ideals: 10557409
Thu Feb 16 16:03:36 2017  commencing 2-way merge
Thu Feb 16 16:03:52 2017  reduce to 12785948 relation sets and 12480863 unique ideals
Thu Feb 16 16:03:53 2017  commencing full merge
Thu Feb 16 16:07:44 2017  memory use: 1470.5 MB
Thu Feb 16 16:07:46 2017  found 6702673 cycles, need 6663063
Thu Feb 16 16:07:47 2017  weight of 6663063 cycles is about 466555648 (70.02/cycle)
Thu Feb 16 16:07:47 2017  distribution of cycle lengths:
Thu Feb 16 16:07:47 2017  1 relations: 861362
Thu Feb 16 16:07:47 2017  2 relations: 910038
Thu Feb 16 16:07:47 2017  3 relations: 896536
Thu Feb 16 16:07:47 2017  4 relations: 768345
Thu Feb 16 16:07:47 2017  5 relations: 642178
Thu Feb 16 16:07:47 2017  6 relations: 527168
Thu Feb 16 16:07:47 2017  7 relations: 433102
Thu Feb 16 16:07:47 2017  8 relations: 345803
Thu Feb 16 16:07:47 2017  9 relations: 278952
Thu Feb 16 16:07:47 2017  10+ relations: 999579
Thu Feb 16 16:07:47 2017  heaviest cycle: 24 relations
Thu Feb 16 16:07:48 2017  commencing cycle optimization
Thu Feb 16 16:07:57 2017  start with 35895356 relations
Thu Feb 16 16:09:06 2017  pruned 814155 relations
Thu Feb 16 16:09:06 2017  memory use: 1188.0 MB
Thu Feb 16 16:09:06 2017  distribution of cycle lengths:
Thu Feb 16 16:09:06 2017  1 relations: 861362
Thu Feb 16 16:09:06 2017  2 relations: 929119
Thu Feb 16 16:09:06 2017  3 relations: 928110
Thu Feb 16 16:09:06 2017  4 relations: 782890
Thu Feb 16 16:09:06 2017  5 relations: 653041
Thu Feb 16 16:09:06 2017  6 relations: 529054
Thu Feb 16 16:09:06 2017  7 relations: 430947
Thu Feb 16 16:09:06 2017  8 relations: 341114
Thu Feb 16 16:09:06 2017  9 relations: 273082
Thu Feb 16 16:09:06 2017  10+ relations: 934344
Thu Feb 16 16:09:06 2017  heaviest cycle: 24 relations
Thu Feb 16 16:09:20 2017  RelProcTime: 2052
Thu Feb 16 16:09:20 2017  
Thu Feb 16 16:09:20 2017  commencing linear algebra
Thu Feb 16 16:09:21 2017  read 6663063 cycles
Thu Feb 16 16:09:33 2017  cycles contain 19718430 unique relations
Thu Feb 16 16:12:50 2017  read 19718430 relations
Thu Feb 16 16:13:23 2017  using 20 quadratic characters above 1073708682
Thu Feb 16 16:14:57 2017  building initial matrix
Thu Feb 16 16:19:05 2017  memory use: 2509.9 MB
Thu Feb 16 16:19:13 2017  read 6663063 cycles
Thu Feb 16 16:19:15 2017  matrix is 6662882 x 6663063 (2004.4 MB) with weight 581180549 (87.22/col)
Thu Feb 16 16:19:15 2017  sparse part has weight 452153876 (67.86/col)
Thu Feb 16 16:20:18 2017  filtering completed in 2 passes
Thu Feb 16 16:20:21 2017  matrix is 6657401 x 6657582 (2004.0 MB) with weight 581029502 (87.27/col)
Thu Feb 16 16:20:21 2017  sparse part has weight 452109664 (67.91/col)
Thu Feb 16 16:21:42 2017  matrix starts at (0, 0)
Thu Feb 16 16:21:44 2017  matrix is 6657401 x 6657582 (2004.0 MB) with weight 581029502 (87.27/col)
Thu Feb 16 16:21:44 2017  sparse part has weight 452109664 (67.91/col)
Thu Feb 16 16:21:44 2017  saving the first 48 matrix rows for later
Thu Feb 16 16:21:46 2017  matrix includes 64 packed rows
Thu Feb 16 16:21:48 2017  matrix is 6657353 x 6657582 (1905.5 MB) with weight 464655088 (69.79/col)
Thu Feb 16 16:21:48 2017  sparse part has weight 432935846 (65.03/col)
Thu Feb 16 16:21:48 2017  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Thu Feb 16 16:22:16 2017  commencing Lanczos iteration (12 threads)
Thu Feb 16 16:22:16 2017  memory use: 1576.6 MB
Thu Feb 16 16:22:33 2017  linear algebra at 0.0%, ETA 19h30m
Thu Feb 16 16:22:38 2017  checkpointing every 350000 dimensions
Fri Feb 17 10:35:23 2017  lanczos halted after 105280 iterations (dim = 6657353)
Fri Feb 17 10:35:29 2017  recovered 35 nontrivial dependencies
Fri Feb 17 10:35:33 2017  BLanczosTime: 66373
Fri Feb 17 10:35:33 2017  
Fri Feb 17 10:35:33 2017  commencing square root phase
Fri Feb 17 10:35:33 2017  reading relations for dependency 1
Fri Feb 17 10:35:34 2017  read 3331112 cycles
Fri Feb 17 10:35:40 2017  cycles contain 9864100 unique relations
Fri Feb 17 10:37:21 2017  read 9864100 relations
Fri Feb 17 10:38:25 2017  multiplying 9864100 relations
Fri Feb 17 10:54:16 2017  multiply complete, coefficients have about 323.77 million bits
Fri Feb 17 10:54:20 2017  initial square root is modulo 644863
Fri Feb 17 11:13:29 2017  sqrtTime: 2276
Fri Feb 17 11:13:29 2017  prp50 factor: 98196822291987017003179587967833368529376409955839
Fri Feb 17 11:13:29 2017  prp168 factor: 531811732837342747647725554123297818219750938559621417351282351990709770571743142991528778576012570822893173012565006469267460844209764920664880477080062699624995772011
Fri Feb 17 11:13:29 2017  elapsed time 19:38:23

124248328221567092097079547857136810752549133382832135954113482609866448181994940518030356362544426050058190352064402298892981772663366432607673500501405275799612076914927916072822366887932355328711<198>

3291942447825904684183931918895205583786876648047086172684933647496719679959337422645586736785475893173440921315642582293027693753531485635986220247020957329144817231626652303447023576696263583427<196>

717383321484633536526692203340149803207271794744753406463<57>
4588819323277811399049496036618470007601301889250269459870893715120589748642208619934284051956135448382433164909991174018840599153245492029<139>

Number: 52229_219
N = 3291942447825904684183931918895205583786876648047086172684933647496719679959337422645586736785475893173440921315642582293027693753531485635986220247020957329144817231626652303447023576696263583427 (196 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=717383321484633536526692203340149803207271794744753406463 (pp57)
r2=4588819323277811399049496036618470007601301889250269459870893715120589748642208619934284051956135448382433164909991174018840599153245492029 (pp139)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 94.96 hours.
Factorization parameters were as follows:
n: 3291942447825904684183931918895205583786876648047086172684933647496719679959337422645586736785475893173440921315642582293027693753531485635986220247020957329144817231626652303447023576696263583427
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 47
c0: 610
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 9460426 relations
Pruned matrix : 8016535 x 8016760
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 43.95 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 50.33 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 94.96 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<221>

47070091947390813718645108799488852490845863085765872755847796788986863888655389<80>
1109456558542308117469696642272548971926614325287110781396094758885955805330300009179561804247810047768910055518280687323065377568562940441561<142>

# siever: 14e
# qrange: 8M .. 100M
# params (bad): rlim=alim: 37000000, lpbr=lpba: 29, mfbr=mfba: 58, rlambda=alambda: 2.6
Sat Mar 18 12:08:43 2017  
Sat Mar 18 12:08:43 2017  
Sat Mar 18 12:08:43 2017  Msieve v. 1.53 (SVN 988)
Sat Mar 18 12:08:43 2017  random seeds: 82d1ffd8 06b2f5ec
Sat Mar 18 12:08:43 2017  factoring 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229 (221 digits)
Sat Mar 18 12:08:45 2017  searching for 15-digit factors
Sat Mar 18 12:08:46 2017  commencing number field sieve (221-digit input)
Sat Mar 18 12:08:46 2017  R0: -5000000000000000000000000000000000000
Sat Mar 18 12:08:46 2017  R1: 1
Sat Mar 18 12:08:46 2017  A0: 1525
Sat Mar 18 12:08:46 2017  A1: 0
Sat Mar 18 12:08:46 2017  A2: 0
Sat Mar 18 12:08:46 2017  A3: 0
Sat Mar 18 12:08:46 2017  A4: 0
Sat Mar 18 12:08:46 2017  A5: 0
Sat Mar 18 12:08:46 2017  A6: 752
Sat Mar 18 12:08:46 2017  skew 1.13, size 1.740e-011, alpha 0.117, combined = 9.808e-013 rroots = 0
Sat Mar 18 12:08:46 2017  
Sat Mar 18 12:08:46 2017  commencing relation filtering
Sat Mar 18 12:08:46 2017  estimated available RAM is 130995.6 MB
Sat Mar 18 12:09:15 2017  
Sat Mar 18 12:09:15 2017  
Sat Mar 18 12:09:15 2017  Msieve v. 1.53 (SVN 988)
Sat Mar 18 12:09:15 2017  random seeds: e1fc5588 07afe0aa
Sat Mar 18 12:09:15 2017  factoring 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229 (221 digits)
Sat Mar 18 12:09:16 2017  searching for 15-digit factors
Sat Mar 18 12:09:16 2017  commencing number field sieve (221-digit input)
Sat Mar 18 12:09:16 2017  R0: -5000000000000000000000000000000000000
Sat Mar 18 12:09:16 2017  R1: 1
Sat Mar 18 12:09:16 2017  A0: 1525
Sat Mar 18 12:09:16 2017  A1: 0
Sat Mar 18 12:09:16 2017  A2: 0
Sat Mar 18 12:09:16 2017  A3: 0
Sat Mar 18 12:09:16 2017  A4: 0
Sat Mar 18 12:09:16 2017  A5: 0
Sat Mar 18 12:09:16 2017  A6: 752
Sat Mar 18 12:09:16 2017  skew 1.13, size 1.740e-011, alpha 0.117, combined = 9.808e-013 rroots = 0
Sat Mar 18 12:09:16 2017  
Sat Mar 18 12:09:16 2017  commencing relation filtering
Sat Mar 18 12:09:16 2017  estimated available RAM is 130995.6 MB
Sat Mar 18 12:09:16 2017  commencing duplicate removal, pass 1
Sat Mar 18 12:11:26 2017  error -11 reading relation 15126933
Sat Mar 18 12:16:02 2017  found 1782448 hash collisions in 44969083 relations
Sat Mar 18 12:16:19 2017  added 1217396 free relations
Sat Mar 18 12:16:19 2017  commencing duplicate removal, pass 2
Sat Mar 18 12:16:38 2017  found 0 duplicates and 46186479 unique relations
Sat Mar 18 12:16:38 2017  memory use: 130.6 MB
Sat Mar 18 12:16:38 2017  reading ideals above 720000
Sat Mar 18 12:16:38 2017  commencing singleton removal, initial pass
Sat Mar 18 12:22:54 2017  memory use: 1378.0 MB
Sat Mar 18 12:22:54 2017  reading all ideals from disk
Sat Mar 18 12:22:55 2017  memory use: 1707.2 MB
Sat Mar 18 12:22:59 2017  keeping 46871996 ideals with weight <= 200, target excess is 254892
Sat Mar 18 12:23:04 2017  commencing in-memory singleton removal
Sat Mar 18 12:23:08 2017  begin with 46186479 relations and 46871996 unique ideals
Sat Mar 18 12:24:05 2017  reduce to 27523296 relations and 26045063 ideals in 20 passes
Sat Mar 18 12:24:05 2017  max relations containing the same ideal: 148
Sat Mar 18 12:24:17 2017  removing 2708823 relations and 2308823 ideals in 400000 cliques
Sat Mar 18 12:24:18 2017  commencing in-memory singleton removal
Sat Mar 18 12:24:20 2017  begin with 24814473 relations and 26045063 unique ideals
Sat Mar 18 12:24:45 2017  reduce to 24578256 relations and 23495336 ideals in 9 passes
Sat Mar 18 12:24:45 2017  max relations containing the same ideal: 140
Sat Mar 18 12:25:03 2017  removing 2048944 relations and 1648944 ideals in 400000 cliques
Sat Mar 18 12:25:08 2017  commencing in-memory singleton removal
Sat Mar 18 12:25:10 2017  begin with 22529312 relations and 23495336 unique ideals
Sat Mar 18 12:25:27 2017  reduce to 22385341 relations and 21699896 ideals in 9 passes
Sat Mar 18 12:25:27 2017  max relations containing the same ideal: 131
Sat Mar 18 12:25:37 2017  removing 1812514 relations and 1422744 ideals in 389770 cliques
Sat Mar 18 12:25:37 2017  commencing in-memory singleton removal
Sat Mar 18 12:25:39 2017  begin with 20572827 relations and 21699896 unique ideals
Sat Mar 18 12:25:54 2017  reduce to 20448334 relations and 20150592 ideals in 8 passes
Sat Mar 18 12:25:54 2017  max relations containing the same ideal: 121
Sat Mar 18 12:26:05 2017  relations with 0 large ideals: 9202
Sat Mar 18 12:26:05 2017  relations with 1 large ideals: 4077
Sat Mar 18 12:26:05 2017  relations with 2 large ideals: 34000
Sat Mar 18 12:26:05 2017  relations with 3 large ideals: 248733
Sat Mar 18 12:26:05 2017  relations with 4 large ideals: 1072912
Sat Mar 18 12:26:05 2017  relations with 5 large ideals: 2870263
Sat Mar 18 12:26:05 2017  relations with 6 large ideals: 4870063
Sat Mar 18 12:26:05 2017  relations with 7+ large ideals: 11339084
Sat Mar 18 12:26:05 2017  commencing 2-way merge
Sat Mar 18 12:26:18 2017  reduce to 13743905 relation sets and 13446163 unique ideals
Sat Mar 18 12:26:18 2017  commencing full merge
Sat Mar 18 12:29:41 2017  memory use: 1561.5 MB
Sat Mar 18 12:29:43 2017  found 7179638 cycles, need 7138363
Sat Mar 18 12:29:44 2017  weight of 7138363 cycles is about 499707098 (70.00/cycle)
Sat Mar 18 12:29:44 2017  distribution of cycle lengths:
Sat Mar 18 12:29:44 2017  1 relations: 819856
Sat Mar 18 12:29:44 2017  2 relations: 925403
Sat Mar 18 12:29:44 2017  3 relations: 958360
Sat Mar 18 12:29:44 2017  4 relations: 856384
Sat Mar 18 12:29:44 2017  5 relations: 737104
Sat Mar 18 12:29:44 2017  6 relations: 623096
Sat Mar 18 12:29:44 2017  7 relations: 517017
Sat Mar 18 12:29:44 2017  8 relations: 419427
Sat Mar 18 12:29:44 2017  9 relations: 335269
Sat Mar 18 12:29:44 2017  10+ relations: 946447
Sat Mar 18 12:29:44 2017  heaviest cycle: 22 relations
Sat Mar 18 12:29:45 2017  commencing cycle optimization
Sat Mar 18 12:29:52 2017  start with 37835239 relations
Sat Mar 18 12:30:46 2017  pruned 964283 relations
Sat Mar 18 12:30:46 2017  memory use: 1234.2 MB
Sat Mar 18 12:30:46 2017  distribution of cycle lengths:
Sat Mar 18 12:30:46 2017  1 relations: 819856
Sat Mar 18 12:30:46 2017  2 relations: 947176
Sat Mar 18 12:30:46 2017  3 relations: 995163
Sat Mar 18 12:30:46 2017  4 relations: 877226
Sat Mar 18 12:30:46 2017  5 relations: 753845
Sat Mar 18 12:30:46 2017  6 relations: 628224
Sat Mar 18 12:30:46 2017  7 relations: 517660
Sat Mar 18 12:30:46 2017  8 relations: 413672
Sat Mar 18 12:30:46 2017  9 relations: 327876
Sat Mar 18 12:30:46 2017  10+ relations: 857665
Sat Mar 18 12:30:46 2017  heaviest cycle: 21 relations
Sat Mar 18 12:30:53 2017  RelProcTime: 1297
Sat Mar 18 12:30:53 2017  
Sat Mar 18 12:30:53 2017  commencing linear algebra
Sat Mar 18 12:30:54 2017  read 7138363 cycles
Sat Mar 18 12:31:03 2017  cycles contain 20210445 unique relations
Sat Mar 18 12:33:02 2017  read 20210445 relations
Sat Mar 18 12:33:31 2017  using 20 quadratic characters above 4294917295
Sat Mar 18 12:34:51 2017  building initial matrix
Sat Mar 18 12:37:41 2017  memory use: 2585.0 MB
Sat Mar 18 12:37:45 2017  read 7138363 cycles
Sat Mar 18 12:37:46 2017  matrix is 7138186 x 7138363 (2115.7 MB) with weight 615798170 (86.27/col)
Sat Mar 18 12:37:46 2017  sparse part has weight 483225644 (67.69/col)
Sat Mar 18 12:38:41 2017  filtering completed in 2 passes
Sat Mar 18 12:38:42 2017  matrix is 7134841 x 7135018 (2115.5 MB) with weight 615715028 (86.29/col)
Sat Mar 18 12:38:42 2017  sparse part has weight 483203430 (67.72/col)
Sat Mar 18 12:38:56 2017  matrix starts at (0, 0)
Sat Mar 18 12:38:57 2017  matrix is 7134841 x 7135018 (2115.5 MB) with weight 615715028 (86.29/col)
Sat Mar 18 12:38:57 2017  sparse part has weight 483203430 (67.72/col)
Sat Mar 18 12:38:57 2017  saving the first 48 matrix rows for later
Sat Mar 18 12:38:59 2017  matrix includes 64 packed rows
Sat Mar 18 12:39:00 2017  matrix is 7134793 x 7135018 (2039.3 MB) with weight 493926518 (69.23/col)
Sat Mar 18 12:39:00 2017  sparse part has weight 463231610 (64.92/col)
Sat Mar 18 12:39:00 2017  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Mar 18 12:39:27 2017  commencing Lanczos iteration (32 threads)
Sat Mar 18 12:39:27 2017  memory use: 1683.1 MB
Sat Mar 18 12:39:40 2017  linear algebra at 0.0%, ETA 15h37m
Sat Mar 18 12:39:43 2017  checkpointing every 490000 dimensions
Sat Mar 18 23:44:39 2017  lanczos halted after 112827 iterations (dim = 7134792)
Sat Mar 18 23:44:45 2017  recovered 38 nontrivial dependencies
Sat Mar 18 23:44:47 2017  BLanczosTime: 40434
Sat Mar 18 23:44:47 2017  
Sat Mar 18 23:44:47 2017  commencing square root phase
Sat Mar 18 23:44:47 2017  reading relations for dependency 1
Sat Mar 18 23:44:49 2017  read 3568300 cycles
Sat Mar 18 23:44:54 2017  cycles contain 10107482 unique relations
Sat Mar 18 23:46:20 2017  read 10107482 relations
Sat Mar 18 23:47:24 2017  multiplying 10107482 relations
Sun Mar 19 00:00:15 2017  multiply complete, coefficients have about 344.08 million bits
Sun Mar 19 00:00:17 2017  initial square root is modulo 1492417
Sun Mar 19 00:13:28 2017  sqrtTime: 1721
Sun Mar 19 00:13:28 2017  p80 factor: 47070091947390813718645108799488852490845863085765872755847796788986863888655389
Sun Mar 19 00:13:28 2017  p142 factor: 1109456558542308117469696642272548971926614325287110781396094758885955805330300009179561804247810047768910055518280687323065377568562940441561
Sun Mar 19 00:13:28 2017  elapsed time 12:04:13

623720519759863643252645988757011499636350132034454238903550563048570324750445559208586768152836143265759978487675559572346813865982240046203291437853303668214261541603855650616048829394858517738619706877093<207>

8902388716507069986255008338801894459<37>

70062152936923859697919274176029181663846305763821000409243533704368368627961698423589292687761569387366006943307566351716116208415329056437715162412279552274298571271327<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=589224497
Step 1 took 26668ms
Step 2 took 10290ms
********** Factor found in step 2: 8902388716507069986255008338801894459
Found probable prime factor of 37 digits: 8902388716507069986255008338801894459

70062152936923859697919274176029181663846305763821000409243533704368368627961698423589292687761569387366006943307566351716116208415329056437715162412279552274298571271327<170>

18503061621167832413960668684276501640295233<44>
3786516759841058276158492386798956006011659205269286602074700209041106757285435112455245849119352286868220945285168551655524319<127>

Number: 52229_222
N = 70062152936923859697919274176029181663846305763821000409243533704368368627961698423589292687761569387366006943307566351716116208415329056437715162412279552274298571271327 (170 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=18503061621167832413960668684276501640295233 (pp44)
r2=3786516759841058276158492386798956006011659205269286602074700209041106757285435112455245849119352286868220945285168551655524319 (pp127)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 76.29 hours.
Factorization parameters were as follows:
n: 70062152936923859697919274176029181663846305763821000409243533704368368627961698423589292687761569387366006943307566351716116208415329056437715162412279552274298571271327
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4700
c0: 61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 10321580 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 31.53 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 8809971 x 8810196
Matrix solve time: 43.87 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 76.29 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

48195054299502846865796972745491720641404171313528383497980298026987453689604705679078992860389380932662817716106181726986188664658986511104320697132547984018455960378567721421796414039070185737<194>

462135670844948062413088238504062901244917826459338642635299826506998636555324634052794744361382613704564585394021324460434396950800185448180234762428412722959950000510789142707569462776075938351469232799346117<210>

181782474026527569804938839791638494848289531878785136703048459432631875613627827290137347343655463681376863082785257217096142140560842325778214017148868368012243475164781886087652568996981613228987447001<204>

6074450236085204945666461485763132838606015443<46>

29925749156137748623423238669294698848314357166080850968227460722499430842076835088539123876934041748807439350820306512129806476338145736746729347104974742307<158>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Tue Nov 21 10:28:18 2023
Input number is 181782474026527569804938839791638494848289531878785136703048459432631875613627827290137347343655463681376863082785257217096142140560842325778214017148868368012243475164781886087652568996981613228987447001 (204 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9984MB of memory
Using B1=4000000000-4000000000, B2=8344907294582686, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20        25      30      35      40      45      50      55      60      65
0.81    0.53    0.28    0.12    0.045   0.015   0.0045  0.0012  0.00031 7.3e-05
Step 1 took 0ms
Computing F from factored S_1 took 170614ms
Computing h took 20186ms
Computing DCT-I of h took 53397ms
Multi-point evaluation 1 of 5:
Computing g_i took 67320ms
Computing g*h took 110323ms
Computing gcd of coefficients and N took 24464ms
Step 2 took 447749ms
********** Factor found in step 2: 6074450236085204945666461485763132838606015443
Found prime factor of 46 digits: 6074450236085204945666461485763132838606015443
Composite cofactor 29925749156137748623423238669294698848314357166080850968227460722499430842076835088539123876934041748807439350820306512129806476338145736746729347104974742307 has 158 digits

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

276304606961420438167968394102452942279289660267850291118621118070145281922247161241724780541009492747309468273663646175020779151711384861459520953<147>

2460368184099954827189239129436359542364307<43>
112302137845477560193747641568911049911266192381303711121482229678389738633711461393606855223737665330179<105>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2427197221
Step 1 took 84140ms
Step 2 took 31985ms
********** Factor found in step 2: 2460368184099954827189239129436359542364307
Found prime factor of 43 digits: 2460368184099954827189239129436359542364307
Prime cofactor 112302137845477560193747641568911049911266192381303711121482229678389738633711461393606855223737665330179 has 105 digits
 

GMP-ECM

3807973895395921061250324480025708867886412998294152418059676253025331515460983747900164967007849402340252504273039657615741017304871012353763263169980032253379435438643616375653985946601440441153<196>

7873451462632315645408993961993672012170957598012864703544263315382019247144987429469908703717497687722588856980417495249635968162886797385993775999615359881229657120587197626842175990043603222505088603513<205>

14439191036641751381707695474388868919794902043913573761224934946836127470407338795648580811851196455946642580867150225957978881915066835021489817298150861896818155285819178317864965914292648608461365947472066309680709547991877187<230>

81249192974522253327279586338949608691360948663518561973680398774582565161817748165472234535015909471172804504022116646441871890996260248770847457<146>

73308968010133475390022851484412933372847<41>
1108311782035878654839973184777209968967671283587287061392534123730913991730638104972696335263575089323631<106>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:648036379
Step 1 took 19937ms
Step 2 took 14266ms
********** Factor found in step 2: 73308968010133475390022851484412933372847
Found probable prime factor of 41 digits: 73308968010133475390022851484412933372847
Probable prime cofactor 1108311782035878654839973184777209968967671283587287061392534123730913991730638104972696335263575089323631 has 106 digits

GMP-ECM 7.0

908760656855195884503270091791730989833571365688920074151613529285805133191300113961467334277126133450303281825129272310385472996697492038902325968976148249576923044179433943261640920884629998698923500513791136429500110560111543<228>

95866428892992987280157441605367035738837<41>

9479446218546047090043276707752121651299129152568580123056136627988831660142532077404178580935717778961474136535770271167064103737953436306457269017518509565721210319442760515644099803739<187>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3341170595
Step 1 took 107003ms
Step 2 took 27559ms
********** Factor found in step 2: 95866428892992987280157441605367035738837
Found probable prime factor of 41 digits: 95866428892992987280157441605367035738837

317449255753474108481395742221080091842540164678595278884911001252469936937165051895591056410699072643900548859143065917833652943332304077443520314027378372494018224547724921012536570898509<189>

2257059158570173831384486885467837274077450834382307229275405787855862610844437251599022890781684393578745690792983764940065110846149627025223036208315141269<157>

7115944320542090310915019096551727976199227<43>
317183364132651308168856810477513656779038603019498522503596217615609517826982494900961212306965852549737574548847<114>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1365969964
Step 1 took 42002ms
Step 2 took 24074ms
********** Factor found in step 2: 7115944320542090310915019096551727976199227
Found probable prime factor of 43 digits: 7115944320542090310915019096551727976199227
Probable prime cofactor

942226060055226368895861136215088373524305152984474953193340348150129718983849266819355251380686913703018440999521544035554315467553204172601185478435739226493383108305994484515694705505948379367968399966737589290537745241<222>

1308521200425792815732802942366689399<37>

720069388060832332430260189798554793615573950311753477535461642667912166368542511149003938691610624962670366785633972324066047585434135143793904034613088608537338627482490633971304349359<186>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2777999613
Step 1 took 30476ms
Step 2 took 11426ms
********** Factor found in step 2: 1308521200425792815732802942366689399
Found probable prime factor of 37 digits: 1308521200425792815732802942366689399

6616387187237440150870492519422166613034216578758257489712306479775321465316835593944757774766835523328207761294367301920524761293059825427449880039103115513855615899645328790508793458804373487774821402484570347371243175333<223>

25843057661878157396107624318725979056367516178253859186212114890729907439107950932423033529268648078539529403378794381518463433041417086077716320073732414051192754572192268318155828187400547479310644146925536747147<215>

70165136207385500896060232538626502494131795201854890824399935243306967306862559301475393566449584989397998598136813588043680946652217804273522197176447381832873919041636091710647671981808819985623<197>

1156493654226548180034453486057959<34>

60670576056304665471914919996760399286031408393828466714347784713485985829325040338078697638279897057918581453923474479949079214835702228524663672263989094510020497<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=874355388
Step 1 took 27416ms
Step 2 took 9955ms
********** Factor found in step 2: 1156493654226548180034453486057959
Found probable prime factor of 34 digits: 1156493654226548180034453486057959

765426642788928625361790702399342430029166341421646918615300915820986651036125836426926543104115358399166675611169691380228351201224598806421052829820025826369535659894401423166720340539423085136223991<201>

177040124727362734013205816300607696451995616002062218711052731506077353267994322279008502220120028236272820470843540048381358259166103254185479749055494876010918189879102292126051440383296514896665568220760421325598331307361<225>

142841485123165564143792353289823130207731932584880425811154070232259488925980658047593420137377332104547077340115423703459463007914004444216770327432572332354366961481946602945704263488795745971212400020441<207>