282999797857287244794825146553466747523751768748736608045279967657165959167172023448554679603800283<99>

5033234758058990957431315127552236327<37>
56226226564171399584270023372840804616856797530190186799408429<62>

Number: n
N=282999797857287244794825146553466747523751768748736608045279967657165959167172023448554679603800283
  ( 99 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=5033234758058990957431315127552236327 (pp37)
 r2=56226226564171399584270023372840804616856797530190186799408429 (pp62)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.71 hours.
Scaled time: 1.25 units (timescale=1.752).
Factorization parameters were as follows:
name: KA_4_6_100_7
n: 282999797857287244794825146553466747523751768748736608045279967657165959167172023448554679603800283
deg: 5
c5: 140
c0: 1
m: 100000000000000000000
skew: 0.37
type: snfs
rlim: 400000
alim: 400000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 10000
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved algebraic special-q in [200000, 230001)
Primes: RFBsize:33860, AFBsize:33783, largePrimes:4654390 encountered
Relations: rels:3905590, finalFF:116916
Max relations in full relation-set: 28
Initial matrix: 67710 x 116916 with sparse part having weight 9501067.
Pruned matrix : 56212 x 56614 with weight 2878348.
Total sieving time: 0.61 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,400000,400000,29,29,58,58,2.5,2.5,20000
total time: 0.71 hours.
 --------- CPU info (if available) ----------

5702275168042634161453697274977310092999593281419143237948608709452904758430079124662216136997<94>

2788605938735191414130857038217899259398483257<46>
2044847961067233264018846952173523758557643519821<49>

Thu Feb 12 07:47:53 2009  Msieve v. 1.39
Thu Feb 12 07:47:53 2009  random seeds: 626506b0 94752051
Thu Feb 12 07:47:53 2009  factoring 5702275168042634161453697274977310092999593281419143237948608709452904758430079124662216136997 (94 digits)
Thu Feb 12 07:47:54 2009  searching for 15-digit factors
Thu Feb 12 07:47:56 2009  commencing quadratic sieve (94-digit input)
Thu Feb 12 07:47:56 2009  using multiplier of 13
Thu Feb 12 07:47:56 2009  using 32kb Intel Core sieve core
Thu Feb 12 07:47:56 2009  sieve interval: 36 blocks of size 32768
Thu Feb 12 07:47:56 2009  processing polynomials in batches of 6
Thu Feb 12 07:47:56 2009  using a sieve bound of 2055311 (76471 primes)
Thu Feb 12 07:47:56 2009  using large prime bound of 283632918 (28 bits)
Thu Feb 12 07:47:56 2009  using double large prime bound of 1640445722406174 (42-51 bits)
Thu Feb 12 07:47:56 2009  using trial factoring cutoff of 51 bits
Thu Feb 12 07:47:56 2009  polynomial 'A' values have 12 factors
Thu Feb 12 10:18:24 2009  76601 relations (20440 full + 56161 combined from 1076215 partial), need 76567
Thu Feb 12 10:18:25 2009  begin with 1096655 relations
Thu Feb 12 10:18:26 2009  reduce to 192800 relations in 10 passes
Thu Feb 12 10:18:26 2009  attempting to read 192800 relations
Thu Feb 12 10:18:29 2009  recovered 192800 relations
Thu Feb 12 10:18:29 2009  recovered 170944 polynomials
Thu Feb 12 10:18:29 2009  attempting to build 76601 cycles
Thu Feb 12 10:18:30 2009  found 76601 cycles in 6 passes
Thu Feb 12 10:18:30 2009  distribution of cycle lengths:
Thu Feb 12 10:18:30 2009     length 1 : 20440
Thu Feb 12 10:18:30 2009     length 2 : 14239
Thu Feb 12 10:18:30 2009     length 3 : 13100
Thu Feb 12 10:18:30 2009     length 4 : 10074
Thu Feb 12 10:18:30 2009     length 5 : 7275
Thu Feb 12 10:18:30 2009     length 6 : 4693
Thu Feb 12 10:18:30 2009     length 7 : 2891
Thu Feb 12 10:18:30 2009     length 9+: 3889
Thu Feb 12 10:18:30 2009  largest cycle: 20 relations
Thu Feb 12 10:18:30 2009  matrix is 76471 x 76601 (19.9 MB) with weight 4914996 (64.16/col)
Thu Feb 12 10:18:30 2009  sparse part has weight 4914996 (64.16/col)
Thu Feb 12 10:18:31 2009  filtering completed in 3 passes
Thu Feb 12 10:18:31 2009  matrix is 71826 x 71890 (18.9 MB) with weight 4656393 (64.77/col)
Thu Feb 12 10:18:31 2009  sparse part has weight 4656393 (64.77/col)
Thu Feb 12 10:18:31 2009  saving the first 48 matrix rows for later
Thu Feb 12 10:18:31 2009  matrix is 71778 x 71890 (12.7 MB) with weight 3753540 (52.21/col)
Thu Feb 12 10:18:31 2009  sparse part has weight 2886411 (40.15/col)
Thu Feb 12 10:18:31 2009  matrix includes 64 packed rows
Thu Feb 12 10:18:31 2009  using block size 28756 for processor cache size 1024 kB
Thu Feb 12 10:18:32 2009  commencing Lanczos iteration
Thu Feb 12 10:18:32 2009  memory use: 11.8 MB
Thu Feb 12 10:19:07 2009  lanczos halted after 1137 iterations (dim = 71778)
Thu Feb 12 10:19:08 2009  recovered 18 nontrivial dependencies
Thu Feb 12 10:19:09 2009  prp46 factor: 2788605938735191414130857038217899259398483257
Thu Feb 12 10:19:09 2009  prp49 factor: 2044847961067233264018846952173523758557643519821
Thu Feb 12 10:19:09 2009  elapsed time 02:31:16

466666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<120>

342863294583316472753439512436141793<36>
10008884276539516247435781948737347856839<41>
135987853606852843149955196433161787992971421<45>

Number: 46667_119
N=466666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
  ( 120 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=342863294583316472753439512436141793
 r2=10008884276539516247435781948737347856839
 r3=135987853606852843149955196433161787992971421
Version: 
Total time: 1.60 hours.
Scaled time: 3.18 units (timescale=1.991).
Factorization parameters were as follows:
name: 46667_119
n: 466666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 1000000000000000000000000
deg: 5
c5: 7
c0: 5
skew: 0.93
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 560001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70783 x 71030
Total sieving time: 1.60 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 1.60 hours.
 --------- CPU info (if available) ----------

2578268876611418047882136279926335174953959484346224677716390423572744014732965009208103130755064456721915285451197053407<121>

233363571794395358732871502584131711<36>
11048291971135058539564418334874354567896531951537936403069323653753099323612883519137<86>

(ここに素因数分解ソフトウェアの出力結果を貼り付けてださい。例：GGNFSのサマリファイル、B1とsigmaを含むGMP-ECMの出力など)

Number: 46667_122
N=2578268876611418047882136279926335174953959484346224677716390423572744014732965009208103130755064456721915285451197053407
  ( 121 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=233363571794395358732871502584131711
 r2=11048291971135058539564418334874354567896531951537936403069323653753099323612883519137
Version: 
Total time: 1.85 hours.
Scaled time: 3.66 units (timescale=1.979).
Factorization parameters were as follows:
name: 46667_122
n: 2578268876611418047882136279926335174953959484346224677716390423572744014732965009208103130755064456721915285451197053407
m: 5000000000000000000000000
deg: 5
c5: 56
c0: 125
skew: 1.17
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 630001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 100795 x 101040
Total sieving time: 1.85 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,50000
total time: 1.85 hours.
 --------- CPU info (if available) ----------

466666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<129>

97442427809946115669704136955838175329000474229<47>
4789152704372922037448426573012625124657528365691003679694960030537882336201918623<82>

Number: 46667_128
N=466666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
  ( 129 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=97442427809946115669704136955838175329000474229
 r2=4789152704372922037448426573012625124657528365691003679694960030537882336201918623
Version: 
Total time: 3.58 hours.
Scaled time: 7.10 units (timescale=1.985).
Factorization parameters were as follows:
name: 46667_128
n: 466666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 100000000000000000000000000
deg: 5
c5: 7
c0: 50
skew: 1.48
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 930001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139335 x 139583
Total sieving time: 3.58 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 3.58 hours.
 --------- CPU info (if available) ----------

4015418058080727685533108412558965697143976543074966994697640454304399091253530341215885796921378974869506083501765780091041<124>

10192161599110403859711452399948989<35>
393971192375050542532099397791091062168385809913731410123886724602590737694211075449017269<90>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=76032831
Step 1 took 3242ms
Step 2 took 3943ms
********** Factor found in step 2: 10192161599110403859711452399948989
Found probable prime factor of 35 digits: 10192161599110403859711452399948989
Probable prime cofactor 393971192375050542532099397791091062168385809913731410123886724602590737694211075449017269 has 90 digits

GMP-ECM 6.2.1

9565661611316363056899754024068290814006736266572966864363379269734131369114221168033497668595087869370207495134511<115>

46554278325090552516893199847461541<35>
205473308908773787368632582384091275114615193757427857138289590570000231197871171<81>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=871041688
Step 1 took 8145ms
Step 2 took 9102ms
********** Factor found in step 2: 46554278325090552516893199847461541
Found probable prime factor of 35 digits: 46554278325090552516893199847461541
Probable prime cofactor 205473308908773787368632582384091275114615193757427857138289590570000231197871171 has 81 digits

GMP-ECM 6.2.1

199364875427097082889189878762010012232418735432546046038860594807740900792360923025260503562375875979319736960293<114>

447832221926721618206166623088373467276639957980131<51>
445177603722581126154064540081841356282753677680658453973442903<63>

SNFS difficulty: 135 digits.
Divisors found:
 r1=447832221926721618206166623088373467276639957980131 (pp51)
 r2=445177603722581126154064540081841356282753677680658453973442903 (pp63)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
n: 199364875427097082889189878762010012232418735432546046038860594807740900792360923025260503562375875979319736960293
m: 1000000000000000000000000000
deg: 5
c5: 7
c0: 50
skew: 1.48
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [645000, 1320001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 161579 x 161825
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,49,49,2.3,2.3,75000
total time: 3.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

12263969914440759335266783627234628457014011679040525685138368121008357742749535862197848991282861309<101>

1171756816497492817243664472564133432549308489139<49>
10466309853523263277601766588807565342572842167782031<53>

Fri Feb 13 07:37:47 2009  Msieve v. 1.39
Fri Feb 13 07:37:47 2009  random seeds: d3312254 864c9447
Fri Feb 13 07:37:47 2009  factoring 12263969914440759335266783627234628457014011679040525685138368121008357742749535862197848991282861309 (101 digits)
Fri Feb 13 07:37:48 2009  searching for 15-digit factors
Fri Feb 13 07:37:49 2009  commencing quadratic sieve (101-digit input)
Fri Feb 13 07:37:50 2009  using multiplier of 1
Fri Feb 13 07:37:50 2009  using 32kb Intel Core sieve core
Fri Feb 13 07:37:50 2009  sieve interval: 36 blocks of size 32768
Fri Feb 13 07:37:50 2009  processing polynomials in batches of 6
Fri Feb 13 07:37:50 2009  using a sieve bound of 2823631 (102500 primes)
Fri Feb 13 07:37:50 2009  using large prime bound of 423544650 (28 bits)
Fri Feb 13 07:37:50 2009  using double large prime bound of 3376125230508000 (43-52 bits)
Fri Feb 13 07:37:50 2009  using trial factoring cutoff of 52 bits
Fri Feb 13 07:37:50 2009  polynomial 'A' values have 13 factors
Fri Feb 13 07:37:53 2009  restarting with 15879 full and 1011164 partial relations
Fri Feb 13 11:40:41 2009  102614 relations (24294 full + 78320 combined from 1548059 partial), need 102596
Fri Feb 13 11:40:43 2009  begin with 1572353 relations
Fri Feb 13 11:40:45 2009  reduce to 272541 relations in 10 passes
Fri Feb 13 11:40:45 2009  attempting to read 272541 relations
Fri Feb 13 11:40:50 2009  recovered 272541 relations
Fri Feb 13 11:40:50 2009  recovered 263021 polynomials
Fri Feb 13 11:40:50 2009  attempting to build 102614 cycles
Fri Feb 13 11:40:50 2009  found 102614 cycles in 6 passes
Fri Feb 13 11:40:50 2009  distribution of cycle lengths:
Fri Feb 13 11:40:50 2009     length 1 : 24294
Fri Feb 13 11:40:50 2009     length 2 : 17427
Fri Feb 13 11:40:50 2009     length 3 : 16759
Fri Feb 13 11:40:50 2009     length 4 : 14052
Fri Feb 13 11:40:50 2009     length 5 : 10897
Fri Feb 13 11:40:50 2009     length 6 : 7402
Fri Feb 13 11:40:50 2009     length 7 : 4908
Fri Feb 13 11:40:50 2009     length 9+: 6875
Fri Feb 13 11:40:50 2009  largest cycle: 20 relations
Fri Feb 13 11:40:51 2009  matrix is 102500 x 102614 (27.8 MB) with weight 6875032 (67.00/col)
Fri Feb 13 11:40:51 2009  sparse part has weight 6875032 (67.00/col)
Fri Feb 13 11:40:52 2009  filtering completed in 3 passes
Fri Feb 13 11:40:52 2009  matrix is 98568 x 98631 (26.9 MB) with weight 6647785 (67.40/col)
Fri Feb 13 11:40:52 2009  sparse part has weight 6647785 (67.40/col)
Fri Feb 13 11:40:53 2009  saving the first 48 matrix rows for later
Fri Feb 13 11:40:53 2009  matrix is 98520 x 98631 (15.8 MB) with weight 5180923 (52.53/col)
Fri Feb 13 11:40:53 2009  sparse part has weight 3562677 (36.12/col)
Fri Feb 13 11:40:53 2009  matrix includes 64 packed rows
Fri Feb 13 11:40:53 2009  using block size 39452 for processor cache size 1024 kB
Fri Feb 13 11:40:53 2009  commencing Lanczos iteration
Fri Feb 13 11:40:53 2009  memory use: 15.9 MB
Fri Feb 13 11:42:06 2009  lanczos halted after 1559 iterations (dim = 98516)
Fri Feb 13 11:42:06 2009  recovered 14 nontrivial dependencies
Fri Feb 13 11:42:07 2009  prp49 factor: 1171756816497492817243664472564133432549308489139
Fri Feb 13 11:42:07 2009  prp53 factor: 10466309853523263277601766588807565342572842167782031
Fri Feb 13 11:42:07 2009  elapsed time 04:04:20

23675018988567691200233651263717779618750621657030298258543712888967462264993398109679892203846411745509469<107>

354652338619270676018346061231933256617627024018009<51>
66755569921628218018055123882044193969712077797446507941<56>

Number: 46667_142
N=23675018988567691200233651263717779618750621657030298258543712888967462264993398109679892203846411745509469
  ( 107 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=354652338619270676018346061231933256617627024018009
 r2=66755569921628218018055123882044193969712077797446507941
Version: 
Total time: 8.19 hours.
Scaled time: 16.11 units (timescale=1.967).
Factorization parameters were as follows:
name: 46667_142
n: 23675018988567691200233651263717779618750621657030298258543712888967462264993398109679892203846411745509469
m: 50000000000000000000000000000
deg: 5
c5: 56
c0: 125
skew: 1.17
type: snfs
lss: 1
rlim: 1840000
alim: 1840000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1840000/1840000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [920000, 1720001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 278300 x 278548
Total sieving time: 8.19 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1840000,1840000,26,26,49,49,2.3,2.3,100000
total time: 8.19 hours.
 --------- CPU info (if available) ----------

51731775993953009910301308419212924796902674648198394769006101620615186310053836176840364665870571890912291010439718267916947301<128>

260954755813331551484629836671841329424589369<45>
198240403140835028113695300828948914392004001895842843502933578491559379460150732429<84>

Number: 46667_143
N=51731775993953009910301308419212924796902674648198394769006101620615186310053836176840364665870571890912291010439718267916947301
  ( 128 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=260954755813331551484629836671841329424589369
 r2=198240403140835028113695300828948914392004001895842843502933578491559379460150732429
Version: 
Total time: 12.09 hours.
Scaled time: 9.46 units (timescale=0.782).
Factorization parameters were as follows:
n: 51731775993953009910301308419212924796902674648198394769006101620615186310053836176840364665870571890912291010439718267916947301
m: 100000000000000000000000000000
deg: 5
c5: 7
c0: 50
skew: 1.48
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 309798 x 310046
Total sieving time: 12.09 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 12.09 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1209293049874629965857509671889586266473728920998546232084066695052908898286693988441135423590198309266664250739469<115>

41860487605074545822214730527238787086921508635630057<53>
28888651782642712901521098516490340221304589902980438590000517<62>

Number: 46667_144
N=1209293049874629965857509671889586266473728920998546232084066695052908898286693988441135423590198309266664250739469
  ( 115 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=41860487605074545822214730527238787086921508635630057
 r2=28888651782642712901521098516490340221304589902980438590000517
Version: 
Total time: 9.39 hours.
Scaled time: 18.52 units (timescale=1.972).
Factorization parameters were as follows:
name: 46667_144
n: 1209293049874629965857509671889586266473728920998546232084066695052908898286693988441135423590198309266664250739469
m: 100000000000000000000000000000
deg: 5
c5: 7
c0: 5
skew: 0.93
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 1845001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 267507 x 267755
Total sieving time: 9.39 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 9.39 hours.
 --------- CPU info (if available) ----------

221169036334913112164296998420221169036334913112164296998420221169036334913112164296998420221169036334913112164296998420221169036334913112164297<144>

8052958223086142680681622957815586168218929634167397<52>
27464321831555993887170069360422205207318039121738929888700795651176142159905108128526327701<92>

SNFS difficulty: 146 digits.
Divisors found:
 r1=8052958223086142680681622957815586168218929634167397 (pp52)
 r2=27464321831555993887170069360422205207318039121738929888700795651176142159905108128526327701 (pp92)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
n: 221169036334913112164296998420221169036334913112164296998420221169036334913112164296998420221169036334913112164296998420221169036334913112164297
m: 100000000000000000000000000000
deg: 5
c5: 14
c0: 1
skew: 0.59
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 1755001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 270750 x 270998
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 6.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

1124825824120646305023027673995572656480837216059662782981628272312007636368630268568362380512011078237498677112251068794491<124>

59211116240071953560041490929300702713976962338049427<53>
18996869093972672801989286866587901833146301492603126387978691101914233<71>

Number: 46667_147
N=1124825824120646305023027673995572656480837216059662782981628272312007636368630268568362380512011078237498677112251068794491
  ( 124 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=59211116240071953560041490929300702713976962338049427
 r2=18996869093972672801989286866587901833146301492603126387978691101914233
Version: 
Total time: 14.36 hours.
Scaled time: 27.90 units (timescale=1.943).
Factorization parameters were as follows:
name: 46667_147
n: 1124825824120646305023027673995572656480837216059662782981628272312007636368630268568362380512011078237498677112251068794491
m: 500000000000000000000000000000
deg: 5
c5: 56
c0: 125
skew: 1.17
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 318450 x 318698
Total sieving time: 14.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 14.36 hours.
 --------- CPU info (if available) ----------

7389137774260243688053830273352604246508616558218557111613676233755812817641078542381629932217207801812449835065450103573331<124>

52085636918944088812203312210504732508023447832895818013441<59>
141865170733330080376212873778627147222277396429992237445479582291<66>

Number: 46669_149
N=7389137774260243688053830273352604246508616558218557111613676233755812817641078542381629932217207801812449835065450103573331
  ( 124 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=52085636918944088812203312210504732508023447832895818013441
 r2=141865170733330080376212873778627147222277396429992237445479582291
Version: 
Total time: 5.45 hours.
Scaled time: 12.87 units (timescale=2.360).
Factorization parameters were as follows:
n: 7389137774260243688053830273352604246508616558218557111613676233755812817641078542381629932217207801812449835065450103573331
m: 1000000000000000000000000000000
deg: 5
c5: 7
c0: 5
skew: 0.93
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [900000, 1400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6346214
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 348304 x 348552
Total sieving time: 4.98 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,27,27,49,49,2.4,2.4,100000
total time: 5.45 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

103501269100061459963680493576104709397584435573134197614576074461874816345074624925092291323443376939458487404792623379413862577691478883<138>

278292037251093167192697707757978140015212683389508754823953<60>
371916027933907022212166087325008623133827796688636219284264407757441270101811<78>

SNFS difficulty: 151 digits.
Divisors found:
 r1=278292037251093167192697707757978140015212683389508754823953 (pp60)
 r2=371916027933907022212166087325008623133827796688636219284264407757441270101811 (pp78)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
n: 103501269100061459963680493576104709397584435573134197614576074461874816345074624925092291323443376939458487404792623379413862577691478883
m: 1000000000000000000000000000000
deg: 5
c5: 14
c0: 1
skew: 0.59
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1150000, 1650001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 324486 x 324734
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,52,52,2.4,2.4,100000
total time: 10.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

2629466384499347241036001490457162666115412103509341476457525842912585465822458952893668770251581037113343323667412465004458259<127>

164419801792715399978720014469178894785688300264421<51>
15992394807860943672501515269727850107518587694312563080621071031105148189079<77>

Number: 46667_152
N=2629466384499347241036001490457162666115412103509341476457525842912585465822458952893668770251581037113343323667412465004458259
  ( 127 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=164419801792715399978720014469178894785688300264421
 r2=15992394807860943672501515269727850107518587694312563080621071031105148189079
Version: 
Total time: 7.86 hours.
Scaled time: 18.80 units (timescale=2.392).
Factorization parameters were as follows:
n: 2629466384499347241036001490457162666115412103509341476457525842912585465822458952893668770251581037113343323667412465004458259
m: 2000000000000000000000000000000
deg: 5
c5: 175
c0: 4
skew: 0.47
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1100000, 1800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8279462
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 340575 x 340823
Total sieving time: 7.23 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,50,50,2.4,2.4,100000
total time: 7.86 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

35254710304912628291403028187926064483943842176341801575918120849567564630525220153645723046212671844646381939073<113>

432646889532735937305204725920593650955996146661358049<54>
81486106008963007311412437866254747504214979242895064015777<59>

Number: 46667_153
N=35254710304912628291403028187926064483943842176341801575918120849567564630525220153645723046212671844646381939073
  ( 113 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=432646889532735937305204725920593650955996146661358049
 r2=81486106008963007311412437866254747504214979242895064015777
Version: 
Total time: 9.75 hours.
Scaled time: 23.18 units (timescale=2.377).
Factorization parameters were as follows:
n: 35254710304912628291403028187926064483943842176341801575918120849567564630525220153645723046212671844646381939073
m: 10000000000000000000000000000000
deg: 5
c5: 7
c0: 50
skew: 1.48
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1100000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7765803
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 459979 x 460227
Total sieving time: 8.90 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,50,50,2.4,2.4,100000
total time: 9.75 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

159271899886234357224118316268486916951080773606370875995449374288964732650739476678043230944254835039817974971558589306029579067121729237770193401592719<153>

7512655541259282306331650654533633<34>

21200479512406470387486737841689387728256616761959944459277057188240292447586447134939384922724107131176462502589510543<119>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3012614861
Step 1 took 3893ms
Step 2 took 4707ms
********** Factor found in step 2: 7512655541259282306331650654533633
Found probable prime factor of 34 digits: 7512655541259282306331650654533633
Composite cofactor has 119 digits

GMP-ECM 6.2.1

21200479512406470387486737841689387728256616761959944459277057188240292447586447134939384922724107131176462502589510543<119>

54231808989727239423216603755622960161369<41>
390923332769930875603107034278747100755856831370854327511895410945686871799847<78>

Number: 46667_154
N=21200479512406470387486737841689387728256616761959944459277057188240292447586447134939384922724107131176462502589510543
  ( 119 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=54231808989727239423216603755622960161369
 r2=390923332769930875603107034278747100755856831370854327511895410945686871799847
Version: 
Total time: 8.87 hours.
Scaled time: 21.14 units (timescale=2.384).
Factorization parameters were as follows:
n: 21200479512406470387486737841689387728256616761959944459277057188240292447586447134939384922724107131176462502589510543
m: 10000000000000000000000000000000
deg: 5
c5: 7
c0: 5
skew: 0.93
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1100000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8302757
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 366414 x 366662
Total sieving time: 8.12 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,50,50,2.4,2.4,100000
total time: 8.87 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

149275680880976788467660198622530779642196164017610224805481211436514278248616466484962074353989379<99>

69640697804905676650210740049288662547179405011<47>
2143512135664749341932732352584032738864120525449489<52>

Thu Feb 12 11:55:17 2009  Msieve v. 1.39
Thu Feb 12 11:55:17 2009  random seeds: e96394ac 9a5ad5fa
Thu Feb 12 11:55:17 2009  factoring 149275680880976788467660198622530779642196164017610224805481211436514278248616466484962074353989379 (99 digits)
Thu Feb 12 11:55:18 2009  searching for 15-digit factors
Thu Feb 12 11:55:20 2009  commencing quadratic sieve (99-digit input)
Thu Feb 12 11:55:20 2009  using multiplier of 1
Thu Feb 12 11:55:20 2009  using 32kb Intel Core sieve core
Thu Feb 12 11:55:20 2009  sieve interval: 36 blocks of size 32768
Thu Feb 12 11:55:20 2009  processing polynomials in batches of 6
Thu Feb 12 11:55:20 2009  using a sieve bound of 2577401 (94097 primes)
Thu Feb 12 11:55:20 2009  using large prime bound of 386610150 (28 bits)
Thu Feb 12 11:55:20 2009  using double large prime bound of 2864783531160900 (43-52 bits)
Thu Feb 12 11:55:20 2009  using trial factoring cutoff of 52 bits
Thu Feb 12 11:55:20 2009  polynomial 'A' values have 13 factors
Thu Feb 12 18:39:39 2009  94622 relations (23309 full + 71313 combined from 1406727 partial), need 94193
Thu Feb 12 18:39:41 2009  begin with 1430036 relations
Thu Feb 12 18:39:42 2009  reduce to 246673 relations in 12 passes
Thu Feb 12 18:39:42 2009  attempting to read 246673 relations
Thu Feb 12 18:39:46 2009  recovered 246673 relations
Thu Feb 12 18:39:46 2009  recovered 233241 polynomials
Thu Feb 12 18:39:47 2009  attempting to build 94622 cycles
Thu Feb 12 18:39:47 2009  found 94622 cycles in 6 passes
Thu Feb 12 18:39:47 2009  distribution of cycle lengths:
Thu Feb 12 18:39:47 2009     length 1 : 23309
Thu Feb 12 18:39:47 2009     length 2 : 16347
Thu Feb 12 18:39:47 2009     length 3 : 15767
Thu Feb 12 18:39:47 2009     length 4 : 12855
Thu Feb 12 18:39:47 2009     length 5 : 9640
Thu Feb 12 18:39:47 2009     length 6 : 6630
Thu Feb 12 18:39:47 2009     length 7 : 4243
Thu Feb 12 18:39:47 2009     length 9+: 5831
Thu Feb 12 18:39:47 2009  largest cycle: 18 relations
Thu Feb 12 18:39:47 2009  matrix is 94097 x 94622 (25.6 MB) with weight 6321039 (66.80/col)
Thu Feb 12 18:39:47 2009  sparse part has weight 6321039 (66.80/col)
Thu Feb 12 18:39:49 2009  filtering completed in 3 passes
Thu Feb 12 18:39:49 2009  matrix is 89731 x 89795 (24.3 MB) with weight 6003460 (66.86/col)
Thu Feb 12 18:39:49 2009  sparse part has weight 6003460 (66.86/col)
Thu Feb 12 18:39:49 2009  saving the first 48 matrix rows for later
Thu Feb 12 18:39:49 2009  matrix is 89683 x 89795 (14.6 MB) with weight 4679779 (52.12/col)
Thu Feb 12 18:39:49 2009  sparse part has weight 3297305 (36.72/col)
Thu Feb 12 18:39:49 2009  matrix includes 64 packed rows
Thu Feb 12 18:39:49 2009  using block size 35918 for processor cache size 1024 kB
Thu Feb 12 18:39:50 2009  commencing Lanczos iteration
Thu Feb 12 18:39:50 2009  memory use: 14.4 MB
Thu Feb 12 18:40:44 2009  lanczos halted after 1420 iterations (dim = 89681)
Thu Feb 12 18:40:45 2009  recovered 16 nontrivial dependencies
Thu Feb 12 18:40:46 2009  prp47 factor: 69640697804905676650210740049288662547179405011
Thu Feb 12 18:40:46 2009  prp52 factor: 2143512135664749341932732352584032738864120525449489
Thu Feb 12 18:40:46 2009  elapsed time 06:45:29

72089872971461088881510076819431699394836374891179644631331325694824456779438131337001864179041635058446583330602730913<119>

11174819369441197114738866818706428965753<41>
6451099618540499233273736884263980249879617664845365580552739306543961653391721<79>

Number: 46667_159
N=72089872971461088881510076819431699394836374891179644631331325694824456779438131337001864179041635058446583330602730913
  ( 119 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=11174819369441197114738866818706428965753 (pp41)
 r2=6451099618540499233273736884263980249879617664845365580552739306543961653391721 (pp79)
Version: Msieve-1.39
Total time: 20.77 hours.
Scaled time: 53.41 units (timescale=2.571).
Factorization parameters were as follows:
n: 72089872971461088881510076819431699394836374891179644631331325694824456779438131337001864179041635058446583330602730913
m: 100000000000000000000000000000000
deg: 5
c5: 7
c0: 5
skew: 0.93
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 576094 x 576342
Total sieving time: 20.77 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 20.77 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

29552337482731661582763166879179122307905308074367663864093578705581008324350040215619708647076944684905630628479475506004707<125>

399007013662755691469737714633<30>

74064706811669136267266549263175661936240043622241422381737475862705723444971303591286665563979<95>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=953689393
Step 1 took 9805ms
Step 2 took 10466ms
********** Factor found in step 2: 399007013662755691469737714633
Found probable prime factor of 30 digits: 399007013662755691469737714633
Composite cofactor has 95 digits

GMP-ECM 6.2.1

74064706811669136267266549263175661936240043622241422381737475862705723444971303591286665563979<95>

780810284493164937541387674186542177655467<42>
94856213196199882289140137695997617853942491092295137<53>

Thu Feb 12 17:48:12 2009  Msieve v. 1.38
Thu Feb 12 17:48:12 2009  random seeds: bd78225c 7d519f38
Thu Feb 12 17:48:12 2009  factoring 74064706811669136267266549263175661936240043622241422381737475862705723444971303591286665563979 (95 digits)
Thu Feb 12 17:48:14 2009  searching for 15-digit factors
Thu Feb 12 17:48:15 2009  commencing quadratic sieve (95-digit input)
Thu Feb 12 17:48:16 2009  using multiplier of 35
Thu Feb 12 17:48:16 2009  using 64kb Pentium 4 sieve core
Thu Feb 12 17:48:16 2009  sieve interval: 18 blocks of size 65536
Thu Feb 12 17:48:16 2009  processing polynomials in batches of 6
Thu Feb 12 17:48:16 2009  using a sieve bound of 2193701 (81176 primes)
Thu Feb 12 17:48:16 2009  using large prime bound of 329055150 (28 bits)
Thu Feb 12 17:48:16 2009  using double large prime bound of 2143303351966200 (43-51 bits)
Thu Feb 12 17:48:16 2009  using trial factoring cutoff of 51 bits
Thu Feb 12 17:48:16 2009  polynomial 'A' values have 12 factors
Fri Feb 13 00:06:21 2009  81352 relations (19911 full + 61441 combined from 1214476 partial), need 81272
Fri Feb 13 00:06:27 2009  begin with 1234387 relations
Fri Feb 13 00:06:29 2009  reduce to 211622 relations in 11 passes
Fri Feb 13 00:06:29 2009  attempting to read 211622 relations
Fri Feb 13 00:06:35 2009  recovered 211622 relations
Fri Feb 13 00:06:35 2009  recovered 196858 polynomials
Fri Feb 13 00:06:35 2009  attempting to build 81352 cycles
Fri Feb 13 00:06:35 2009  found 81352 cycles in 6 passes
Fri Feb 13 00:06:35 2009  distribution of cycle lengths:
Fri Feb 13 00:06:35 2009     length 1 : 19911
Fri Feb 13 00:06:35 2009     length 2 : 14320
Fri Feb 13 00:06:35 2009     length 3 : 13518
Fri Feb 13 00:06:35 2009     length 4 : 11192
Fri Feb 13 00:06:35 2009     length 5 : 8350
Fri Feb 13 00:06:35 2009     length 6 : 5604
Fri Feb 13 00:06:35 2009     length 7 : 3538
Fri Feb 13 00:06:35 2009     length 9+: 4919
Fri Feb 13 00:06:35 2009  largest cycle: 20 relations
Fri Feb 13 00:06:36 2009  matrix is 81176 x 81352 (22.7 MB) with weight 5613162 (69.00/col)
Fri Feb 13 00:06:36 2009  sparse part has weight 5613162 (69.00/col)
Fri Feb 13 00:06:37 2009  filtering completed in 3 passes
Fri Feb 13 00:06:37 2009  matrix is 77351 x 77415 (21.7 MB) with weight 5377028 (69.46/col)
Fri Feb 13 00:06:37 2009  sparse part has weight 5377028 (69.46/col)
Fri Feb 13 00:06:38 2009  saving the first 48 matrix rows for later
Fri Feb 13 00:06:38 2009  matrix is 77303 x 77415 (16.2 MB) with weight 4522122 (58.41/col)
Fri Feb 13 00:06:38 2009  sparse part has weight 3771008 (48.71/col)
Fri Feb 13 00:06:38 2009  matrix includes 64 packed rows
Fri Feb 13 00:06:38 2009  using block size 21845 for processor cache size 512 kB
Fri Feb 13 00:06:40 2009  commencing Lanczos iteration
Fri Feb 13 00:06:40 2009  memory use: 14.1 MB
Fri Feb 13 00:07:51 2009  lanczos halted after 1223 iterations (dim = 77301)
Fri Feb 13 00:07:52 2009  recovered 18 nontrivial dependencies
Fri Feb 13 00:07:53 2009  prp42 factor: 780810284493164937541387674186542177655467
Fri Feb 13 00:07:53 2009  prp53 factor: 94856213196199882289140137695997617853942491092295137
Fri Feb 13 00:07:53 2009  elapsed time 06:19:41

Msieve

173403596777493614657332166591274041874084815925516146203645866528900650934565328260520164469099995823858736379801101557<120>

87626829942236546445549104979905166220049<41>
1978887024576844368225830411346447797924000567626738265413690868084042418013093<79>

Number: 46667_163
N=173403596777493614657332166591274041874084815925516146203645866528900650934565328260520164469099995823858736379801101557
  ( 120 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=87626829942236546445549104979905166220049
 r2=1978887024576844368225830411346447797924000567626738265413690868084042418013093
Version: 
Total time: 22.87 hours.
Scaled time: 54.51 units (timescale=2.383).
Factorization parameters were as follows:
n: 173403596777493614657332166591274041874084815925516146203645866528900650934565328260520164469099995823858736379801101557
m: 1000000000000000000000000000000000
deg: 5
c5: 7
c0: 50
skew: 1.48
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9787512
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 725648 x 725896
Total sieving time: 20.43 hours.
Total relation processing time: 0.91 hours.
Matrix solve time: 1.15 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 22.87 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

342588705559534254121698972148086282215402776189583832046557063234547700191829157631019386577152681215832616981649256045250314269811<132>

8567432506482975511227306736847<31>

39987324709041758691823561140139597659692108721927001185977095775180330550267978236047812260559216413<101>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3502152376
Step 1 took 3243ms
Step 2 took 4098ms
********** Factor found in step 2: 8567432506482975511227306736847
Found probable prime factor of 31 digits: 8567432506482975511227306736847
Composite cofactor has 101 digits

GMP-ECM 6.2.1

39987324709041758691823561140139597659692108721927001185977095775180330550267978236047812260559216413<101>

105837646301488096064392853135688270797190690443<48>
377817592382338625566553437445757380341481911272332791<54>

Fri Feb 13 12:23:57 2009  Msieve v. 1.39
Fri Feb 13 12:23:57 2009  random seeds: c697f178 e036b717
Fri Feb 13 12:23:57 2009  factoring 39987324709041758691823561140139597659692108721927001185977095775180330550267978236047812260559216413 (101 digits)
Fri Feb 13 12:23:58 2009  searching for 15-digit factors
Fri Feb 13 12:23:59 2009  commencing quadratic sieve (101-digit input)
Fri Feb 13 12:24:00 2009  using multiplier of 5
Fri Feb 13 12:24:00 2009  using 32kb Intel Core sieve core
Fri Feb 13 12:24:00 2009  sieve interval: 36 blocks of size 32768
Fri Feb 13 12:24:00 2009  processing polynomials in batches of 6
Fri Feb 13 12:24:00 2009  using a sieve bound of 2974607 (107273 primes)
Fri Feb 13 12:24:00 2009  using large prime bound of 446191050 (28 bits)
Fri Feb 13 12:24:00 2009  using double large prime bound of 3707981036623950 (44-52 bits)
Fri Feb 13 12:24:00 2009  using trial factoring cutoff of 52 bits
Fri Feb 13 12:24:00 2009  polynomial 'A' values have 13 factors
Sat Feb 14 03:55:15 2009  107440 relations (25168 full + 82272 combined from 1625467 partial), need 107369
Sat Feb 14 03:55:17 2009  begin with 1650635 relations
Sat Feb 14 03:55:19 2009  reduce to 286005 relations in 11 passes
Sat Feb 14 03:55:19 2009  attempting to read 286005 relations
Sat Feb 14 03:55:25 2009  recovered 286005 relations
Sat Feb 14 03:55:25 2009  recovered 278001 polynomials
Sat Feb 14 03:55:25 2009  attempting to build 107440 cycles
Sat Feb 14 03:55:25 2009  found 107440 cycles in 6 passes
Sat Feb 14 03:55:25 2009  distribution of cycle lengths:
Sat Feb 14 03:55:25 2009     length 1 : 25168
Sat Feb 14 03:55:25 2009     length 2 : 18101
Sat Feb 14 03:55:25 2009     length 3 : 17717
Sat Feb 14 03:55:25 2009     length 4 : 14669
Sat Feb 14 03:55:25 2009     length 5 : 11309
Sat Feb 14 03:55:25 2009     length 6 : 7873
Sat Feb 14 03:55:25 2009     length 7 : 5171
Sat Feb 14 03:55:25 2009     length 9+: 7432
Sat Feb 14 03:55:25 2009  largest cycle: 21 relations
Sat Feb 14 03:55:26 2009  matrix is 107273 x 107440 (30.8 MB) with weight 7645489 (71.16/col)
Sat Feb 14 03:55:26 2009  sparse part has weight 7645489 (71.16/col)
Sat Feb 14 03:55:28 2009  filtering completed in 3 passes
Sat Feb 14 03:55:28 2009  matrix is 103299 x 103363 (29.8 MB) with weight 7398436 (71.58/col)
Sat Feb 14 03:55:28 2009  sparse part has weight 7398436 (71.58/col)
Sat Feb 14 03:55:28 2009  saving the first 48 matrix rows for later
Sat Feb 14 03:55:28 2009  matrix is 103251 x 103363 (19.5 MB) with weight 5997541 (58.02/col)
Sat Feb 14 03:55:28 2009  sparse part has weight 4487591 (43.42/col)
Sat Feb 14 03:55:28 2009  matrix includes 64 packed rows
Sat Feb 14 03:55:28 2009  using block size 41345 for processor cache size 1024 kB
Sat Feb 14 03:55:29 2009  commencing Lanczos iteration
Sat Feb 14 03:55:29 2009  memory use: 18.2 MB
Sat Feb 14 03:56:55 2009  lanczos halted after 1634 iterations (dim = 103249)
Sat Feb 14 03:56:55 2009  recovered 17 nontrivial dependencies
Sat Feb 14 03:56:56 2009  prp48 factor: 105837646301488096064392853135688270797190690443
Sat Feb 14 03:56:56 2009  prp54 factor: 377817592382338625566553437445757380341481911272332791
Sat Feb 14 03:56:56 2009  elapsed time 15:32:59

9983484083845200357518942533658895832376749692236922937893888318516337912293695221613470764610702632769022446093554356116181010244931137412628862626617<151>

104294166814274386903054982107897366760334221897<48>
95724280549876303733349614934130035922104058690830754970637258308603613525009196486295646799077246779761<104>

SNFS difficulty: 171 digits.
Divisors found:
 r1=104294166814274386903054982107897366760334221897 (pp48)
 r2=95724280549876303733349614934130035922104058690830754970637258308603613525009196486295646799077246779761 (pp104)
Version: Msieve-1.39
Total time: 30.32 hours.
Scaled time:  units (timescale=2.950).
Factorization parameters were as follows:
n: 9983484083845200357518942533658895832376749692236922937893888318516337912293695221613470764610702632769022446093554356116181010244931137412628862626617
m: 10000000000000000000000000000000000
deg: 5
c5: 14
c0: 1
skew: 0.59
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 4500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 883374 x 883621
Total sieving time: 22.32 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 1.60 hours. * 4
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,200000
total time: 30.32 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

24545442231707557443195388045005997931178690810482840774904483526903568635628800068776271020858144863975192360888664449533761102657624998421849365666000078823<158>

8716281892569658959466816355313570524828127197103157<52>
2816045021746225571280058016558802032880013547923850367154664124292968300123708807461754097927827102820139<106>

Number: 46667_171
N=24545442231707557443195388045005997931178690810482840774904483526903568635628800068776271020858144863975192360888664449533761102657624998421849365666000078823
  ( 158 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=8716281892569658959466816355313570524828127197103157
 r2=2816045021746225571280058016558802032880013547923850367154664124292968300123708807461754097927827102820139
Version: 
Total time: 77.95 hours.
Scaled time: 156.90 units (timescale=2.013).
Factorization parameters were as follows:
n: 24545442231707557443195388045005997931178690810482840774904483526903568635628800068776271020858144863975192360888664449533761102657624998421849365666000078823
m: 20000000000000000000000000000000000
deg: 5
c5: 35
c0: 8
skew: 0.74
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 827628 x 827876
Total sieving time: 77.95 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 77.95 hours.
 --------- CPU info (if available) ----------

5367822049324104198459781648285230954004443945514259477635815794499811904007692354910681910349769898679479<106>

645931821966020252623561182000975442691069658013<48>
8310199105822166266834778444707835250551130821474294358883<58>

Thu Feb 12 22:34:57 2009  Msieve v. 1.39
Thu Feb 12 22:34:57 2009  random seeds: 9db02c00 3ef00dcd
Thu Feb 12 22:34:57 2009  factoring 5367822049324104198459781648285230954004443945514259477635815794499811904007692354910681910349769898679479 (106 digits)
Thu Feb 12 22:34:58 2009  searching for 15-digit factors
Thu Feb 12 22:34:59 2009  commencing number field sieve (106-digit input)
Thu Feb 12 22:34:59 2009  R0: -258172299182433160252
Thu Feb 12 22:34:59 2009  R1:  107981281439
Thu Feb 12 22:34:59 2009  A0: -82194652127860805641635
Thu Feb 12 22:34:59 2009  A1:  7033312543780076998983
Thu Feb 12 22:34:59 2009  A2: -87363472109491385
Thu Feb 12 22:34:59 2009  A3: -17887783854145
Thu Feb 12 22:34:59 2009  A4:  104218002
Thu Feb 12 22:34:59 2009  A5:  4680
Thu Feb 12 22:34:59 2009  skew 24498.05, size 6.764167e-011, alpha -5.840131, combined = 4.738707e-010
Thu Feb 12 22:35:00 2009  
Thu Feb 12 22:35:00 2009  commencing relation filtering
Thu Feb 12 22:35:00 2009  commencing duplicate removal, pass 1
Thu Feb 12 22:35:56 2009  found 323492 hash collisions in 4679360 relations
Thu Feb 12 22:36:09 2009  added 31781 free relations
Thu Feb 12 22:36:09 2009  commencing duplicate removal, pass 2
Thu Feb 12 22:36:16 2009  found 299722 duplicates and 4411418 unique relations
Thu Feb 12 22:36:16 2009  memory use: 43.3 MB
Thu Feb 12 22:36:16 2009  reading rational ideals above 2818048
Thu Feb 12 22:36:16 2009  reading algebraic ideals above 2818048
Thu Feb 12 22:36:16 2009  commencing singleton removal, pass 1
Thu Feb 12 22:37:03 2009  relations with 0 large ideals: 104413
Thu Feb 12 22:37:03 2009  relations with 1 large ideals: 664703
Thu Feb 12 22:37:03 2009  relations with 2 large ideals: 1546652
Thu Feb 12 22:37:03 2009  relations with 3 large ideals: 1511527
Thu Feb 12 22:37:03 2009  relations with 4 large ideals: 528095
Thu Feb 12 22:37:03 2009  relations with 5 large ideals: 25948
Thu Feb 12 22:37:03 2009  relations with 6 large ideals: 30080
Thu Feb 12 22:37:03 2009  relations with 7+ large ideals: 0
Thu Feb 12 22:37:03 2009  4411418 relations and about 4341436 large ideals
Thu Feb 12 22:37:03 2009  commencing singleton removal, pass 2
Thu Feb 12 22:37:51 2009  found 1970017 singletons
Thu Feb 12 22:37:51 2009  current dataset: 2441401 relations and about 1971541 large ideals
Thu Feb 12 22:37:51 2009  commencing singleton removal, pass 3
Thu Feb 12 22:38:24 2009  found 459939 singletons
Thu Feb 12 22:38:24 2009  current dataset: 1981462 relations and about 1477357 large ideals
Thu Feb 12 22:38:24 2009  commencing singleton removal, final pass
Thu Feb 12 22:39:07 2009  memory use: 37.3 MB
Thu Feb 12 22:39:07 2009  commencing in-memory singleton removal
Thu Feb 12 22:39:07 2009  begin with 1981462 relations and 1518445 unique ideals
Thu Feb 12 22:39:09 2009  reduce to 1658341 relations and 1186258 ideals in 16 passes
Thu Feb 12 22:39:09 2009  max relations containing the same ideal: 49
Thu Feb 12 22:39:10 2009  reading rational ideals above 720000
Thu Feb 12 22:39:10 2009  reading algebraic ideals above 720000
Thu Feb 12 22:39:10 2009  commencing singleton removal, final pass
Thu Feb 12 22:39:32 2009  keeping 1441724 ideals with weight <= 20, new excess is 185015
Thu Feb 12 22:39:34 2009  memory use: 46.8 MB
Thu Feb 12 22:39:34 2009  commencing in-memory singleton removal
Thu Feb 12 22:39:34 2009  begin with 1663865 relations and 1441724 unique ideals
Thu Feb 12 22:39:36 2009  reduce to 1646608 relations and 1397747 ideals in 11 passes
Thu Feb 12 22:39:36 2009  max relations containing the same ideal: 20
Thu Feb 12 22:39:37 2009  removing 167614 relations and 150492 ideals in 17122 cliques
Thu Feb 12 22:39:37 2009  commencing in-memory singleton removal
Thu Feb 12 22:39:37 2009  begin with 1478994 relations and 1397747 unique ideals
Thu Feb 12 22:39:38 2009  reduce to 1467517 relations and 1235600 ideals in 7 passes
Thu Feb 12 22:39:38 2009  max relations containing the same ideal: 20
Thu Feb 12 22:39:39 2009  removing 123087 relations and 105965 ideals in 17122 cliques
Thu Feb 12 22:39:39 2009  commencing in-memory singleton removal
Thu Feb 12 22:39:39 2009  begin with 1344430 relations and 1235600 unique ideals
Thu Feb 12 22:39:40 2009  reduce to 1336954 relations and 1122079 ideals in 8 passes
Thu Feb 12 22:39:40 2009  max relations containing the same ideal: 20
Thu Feb 12 22:39:41 2009  relations with 0 large ideals: 16191
Thu Feb 12 22:39:41 2009  relations with 1 large ideals: 109998
Thu Feb 12 22:39:41 2009  relations with 2 large ideals: 306115
Thu Feb 12 22:39:41 2009  relations with 3 large ideals: 427806
Thu Feb 12 22:39:41 2009  relations with 4 large ideals: 318411
Thu Feb 12 22:39:41 2009  relations with 5 large ideals: 125538
Thu Feb 12 22:39:41 2009  relations with 6 large ideals: 29363
Thu Feb 12 22:39:41 2009  relations with 7+ large ideals: 3532
Thu Feb 12 22:39:41 2009  commencing 2-way merge
Thu Feb 12 22:39:42 2009  reduce to 793256 relation sets and 578381 unique ideals
Thu Feb 12 22:39:42 2009  commencing full merge
Thu Feb 12 22:39:52 2009  memory use: 43.3 MB
Thu Feb 12 22:39:52 2009  found 366573 cycles, need 340581
Thu Feb 12 22:39:52 2009  weight of 340581 cycles is about 24093365 (70.74/cycle)
Thu Feb 12 22:39:52 2009  distribution of cycle lengths:
Thu Feb 12 22:39:52 2009  1 relations: 38055
Thu Feb 12 22:39:52 2009  2 relations: 34114
Thu Feb 12 22:39:52 2009  3 relations: 33825
Thu Feb 12 22:39:52 2009  4 relations: 31479
Thu Feb 12 22:39:52 2009  5 relations: 29063
Thu Feb 12 22:39:52 2009  6 relations: 25710
Thu Feb 12 22:39:52 2009  7 relations: 23273
Thu Feb 12 22:39:52 2009  8 relations: 21000
Thu Feb 12 22:39:52 2009  9 relations: 18232
Thu Feb 12 22:39:52 2009  10+ relations: 85830
Thu Feb 12 22:39:52 2009  heaviest cycle: 20 relations
Thu Feb 12 22:39:52 2009  commencing cycle optimization
Thu Feb 12 22:39:52 2009  start with 2233449 relations
Thu Feb 12 22:39:59 2009  pruned 71620 relations
Thu Feb 12 22:39:59 2009  memory use: 56.8 MB
Thu Feb 12 22:39:59 2009  distribution of cycle lengths:
Thu Feb 12 22:39:59 2009  1 relations: 38055
Thu Feb 12 22:39:59 2009  2 relations: 35065
Thu Feb 12 22:39:59 2009  3 relations: 35335
Thu Feb 12 22:39:59 2009  4 relations: 32598
Thu Feb 12 22:39:59 2009  5 relations: 30086
Thu Feb 12 22:39:59 2009  6 relations: 26481
Thu Feb 12 22:39:59 2009  7 relations: 23791
Thu Feb 12 22:39:59 2009  8 relations: 21224
Thu Feb 12 22:39:59 2009  9 relations: 18440
Thu Feb 12 22:39:59 2009  10+ relations: 79506
Thu Feb 12 22:39:59 2009  heaviest cycle: 19 relations
Thu Feb 12 22:40:00 2009  
Thu Feb 12 22:40:00 2009  commencing linear algebra
Thu Feb 12 22:40:00 2009  read 340581 cycles
Thu Feb 12 22:40:00 2009  cycles contain 1166929 unique relations
Thu Feb 12 22:40:14 2009  read 1166929 relations
Thu Feb 12 22:40:16 2009  using 20 quadratic characters above 67107708
Thu Feb 12 22:40:23 2009  building initial matrix
Thu Feb 12 22:40:38 2009  memory use: 137.7 MB
Thu Feb 12 22:40:38 2009  read 340581 cycles
Thu Feb 12 22:40:39 2009  matrix is 340340 x 340581 (96.0 MB) with weight 32664453 (95.91/col)
Thu Feb 12 22:40:39 2009  sparse part has weight 22770201 (66.86/col)
Thu Feb 12 22:40:44 2009  filtering completed in 3 passes
Thu Feb 12 22:40:44 2009  matrix is 338226 x 338426 (95.6 MB) with weight 32510703 (96.06/col)
Thu Feb 12 22:40:44 2009  sparse part has weight 22686610 (67.04/col)
Thu Feb 12 22:40:45 2009  read 338426 cycles
Thu Feb 12 22:40:46 2009  matrix is 338226 x 338426 (95.6 MB) with weight 32510703 (96.06/col)
Thu Feb 12 22:40:46 2009  sparse part has weight 22686610 (67.04/col)
Thu Feb 12 22:40:46 2009  saving the first 48 matrix rows for later
Thu Feb 12 22:40:46 2009  matrix is 338178 x 338426 (92.3 MB) with weight 25662083 (75.83/col)
Thu Feb 12 22:40:46 2009  sparse part has weight 22161269 (65.48/col)
Thu Feb 12 22:40:46 2009  matrix includes 64 packed rows
Thu Feb 12 22:40:46 2009  using block size 65536 for processor cache size 3072 kB
Thu Feb 12 22:40:49 2009  commencing Lanczos iteration
Thu Feb 12 22:40:49 2009  memory use: 90.3 MB
Thu Feb 12 22:57:01 2009  lanczos halted after 5349 iterations (dim = 338176)
Thu Feb 12 22:57:02 2009  recovered 28 nontrivial dependencies
Thu Feb 12 22:57:02 2009  
Thu Feb 12 22:57:02 2009  commencing square root phase
Thu Feb 12 22:57:02 2009  reading relations for dependency 1
Thu Feb 12 22:57:02 2009  read 169394 cycles
Thu Feb 12 22:57:03 2009  cycles contain 719905 unique relations
Thu Feb 12 22:57:12 2009  read 719905 relations
Thu Feb 12 22:57:16 2009  multiplying 582576 relations
Thu Feb 12 22:58:47 2009  multiply complete, coefficients have about 23.47 million bits
Thu Feb 12 22:58:48 2009  initial square root is modulo 5501819
Thu Feb 12 23:00:56 2009  prp48 factor: 645931821966020252623561182000975442691069658013
Thu Feb 12 23:00:56 2009  prp58 factor: 8310199105822166266834778444707835250551130821474294358883
Thu Feb 12 23:00:56 2009  elapsed time 00:25:59

Polyselection with Msieve v1.39 ~0,62 hours
Sieving GGNFS ~ 9:30
Linear Algebra with Msieve v1.39 ~ 26 minutes

Core 2 Duo T8100 (2,1GHz) , Windows Vista 32bit

256159225974764736307571517106004014553141132535297333620862403998469713326939657743381358905565791496293364166913780086094582792574506768353339998381929141009<159>

882422282348200734467628605777350822555882231032901366253505616218641<69>
290290976439424503451102602466503308897180372496607867746039783169057938642528106494523649<90>

Number: n
N=256159225974764736307571517106004014553141132535297333620862403998469713326939657743381358905565791496293364166913780086094582792574506768353339998381929141009
  ( 159 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Jan  8 22:07:27 2012  prp69 factor: 882422282348200734467628605777350822555882231032901366253505616218641
Sun Jan  8 22:07:27 2012  prp90 factor: 290290976439424503451102602466503308897180372496607867746039783169057938642528106494523649
Sun Jan  8 22:07:27 2012  elapsed time 02:34:12 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_46667_176
n: 256159225974764736307571517106004014553141132535297333620862403998469713326939657743381358905565791496293364166913780086094582792574506768353339998381929141009
m: 100000000000000000000000000000000000
deg: 5
c5: 140
c0: 1
skew: 0.37
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 6765415 hash collisions in 75500096 relations
Msieve: matrix is 1074394 x 1074639 (294.3 MB)

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

913867875410837879033123950583039378182121770092953919892006393531178725842693634611637136900578783572537498429050677614033656405446962974881<141>

705706748629943750270533634366062024387710380677032588359025492157117<69>
1294968309690983265962609340991774176991813046318397997135998509754439093<73>

Number: 46667_177
N = 913867875410837879033123950583039378182121770092953919892006393531178725842693634611637136900578783572537498429050677614033656405446962974881 (141 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=705706748629943750270533634366062024387710380677032588359025492157117 (pp69)
r2=1294968309690983265962609340991774176991813046318397997135998509754439093 (pp73)
Version: Msieve v. 1.50 (SVN Official Release)
Total time: 50.05 hours.
Factorization parameters were as follows:
n: 913867875410837879033123950583039378182121770092953919892006393531178725842693634611637136900578783572537498429050677614033656405446962974881
m: 100000000000000000000000000000000000
deg: 5
c5: 1400
c0: 1
skew: 0.23
# Murphy_E = 1.517e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 17059793
Relations: 2180432 relations
Pruned matrix : 1261517 x 1261747
Polynomial selection time: 0.00 hours.
Total sieving time: 48.87 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.95 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 50.05 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

16091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954023<179>

92675896264996983590750934289457199517<38>
173636885873488126303743651617020492024657710926734399245020902788494883365428374403641911428951894559811517313745583408396839097490999409619<141>

Number: 46667_179
N=16091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954023
  ( 179 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=92675896264996983590750934289457199517 (pp38)
 r2=173636885873488126303743651617020492024657710926734399245020902788494883365428374403641911428951894559811517313745583408396839097490999409619 (pp141)
Version: Msieve-1.39
Total time: 120.30 hours.
Scaled time: 307.98 units (timescale=2.560).
Factorization parameters were as follows:
n: 16091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954022988505747126436781609195402298850574712643678160919540229885057471264367816091954023
m: 1000000000000000000000000000000000000
deg: 5
c5: 7
c0: 5
skew: 0.93
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1311235 x 1311483
Total sieving time: 120.30 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,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 120.30 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

10417341003472695033086219122815241760441338092569980348430292734723155442353783317818936196018641087629928425426348282961769102613041171563933081977776835256448892152989069977<176>

1172452363816037728649885943412504699468920569755011261533521576093947543910089989<82>
8885086784734578588942035780312830751406596097560532726566468481627824418076932918133587209093<94>

Number: 46667_180
N=10417341003472695033086219122815241760441338092569980348430292734723155442353783317818936196018641087629928425426348282961769102613041171563933081977776835256448892152989069977
  ( 176 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=1172452363816037728649885943412504699468920569755011261533521576093947543910089989 (pp82)
 r2=8885086784734578588942035780312830751406596097560532726566468481627824418076932918133587209093 (pp94)
Version: Msieve-1.39
Total time: 102.09 hours.
Scaled time: 177.54 units (timescale=1.739).
Factorization parameters were as follows:
n: 10417341003472695033086219122815241760441338092569980348430292734723155442353783317818936196018641087629928425426348282961769102613041171563933081977776835256448892152989069977
m: 1000000000000000000000000000000000000
deg: 5
c5: 14
c0: 1
skew: 0.59
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 5350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1247235 x 1247483
Total sieving time: 102.09 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 102.09 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1906169074979535664591494748198920580880822919188627162540884162718945041622854824433548249582063387342899223445808166667149849821540043831242912479<148>

69444143975503308120554853078553910088519983651767275083184763<62>
27448953444540179219944449894984556908171464958552054549550901320547715053018266353133<86>

N=1906169074979535664591494748198920580880822919188627162540884162718945041622854824433548249582063387342899223445808166667149849821540043831242912479
  ( 148 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=69444143975503308120554853078553910088519983651767275083184763 (pp62)
 r2=27448953444540179219944449894984556908171464958552054549550901320547715053018266353133 (pp86)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 113.38 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1906169074979535664591494748198920580880822919188627162540884162718945041622854824433548249582063387342899223445808166667149849821540043831242912479
m: 1000000000000000000000000000000000000
deg: 5
c5: 140
c0: 1
skew: 0.37
# Murphy_E = 9.649e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 9400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1411275 x 1411499
Total sieving time: 110.83 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.89 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 113.38 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

18308551401258059032000732342056050322361280029293682242012894451201171747289680515778048046869891587220631121921874795663488825244876874991826539553009795074999673061582120391803<179>

99337268011377573858694433257182813159834985248138871718472604050896795517134809<80>
184306975295123807994275531879649282427027278526009180015853910534954578635427995339599927648804467<99>

Number: n
N=18308551401258059032000732342056050322361280029293682242012894451201171747289680515778048046869891587220631121921874795663488825244876874991826539553009795074999673061582120391803
  ( 179 digits)
SNFS difficulty: 185 digits.
Divisors found:

Mon Jul 13 22:15:46 2009  prp80 factor: 99337268011377573858694433257182813159834985248138871718472604050896795517134809
Mon Jul 13 22:15:46 2009  prp99 factor: 184306975295123807994275531879649282427027278526009180015853910534954578635427995339599927648804467
Mon Jul 13 22:15:46 2009  elapsed time 02:40:38 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 150.06 hours.
Scaled time: 397.50 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_4_6_181_7
n: 18308551401258059032000732342056050322361280029293682242012894451201171747289680515778048046869891587220631121921874795663488825244876874991826539553009795074999673061582120391803
m: 5000000000000000000000000000000000000
deg: 5
c5: 56
c0: 125
skew: 1.17
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [4300000, 6900977)
Primes: RFBsize:577439, AFBsize:576914, largePrimes:20806339 encountered
Relations: rels:20705108, finalFF:1024227
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1805413 hash collisions in 21853565 relations
Msieve: matrix is 1379817 x 1380065 (373.7 MB)

Total sieving time: 149.50 hours.
Total relation processing time: 0.56 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,56,56,2.5,2.5,100000
total time: 150.06 hours.
 --------- CPU info (if available) ----------

2488022393623269691497663302682674602747238783861762632356126995060742401002033247443245987752887483274713748580716511351868744734056174925034996700704590170285584096134341835439<178>

2382309436848608429515710782337046103074905774875135063353620428270919969829<76>
1044374150200446498197582320576516819989106942296904804562163907478690398558019374206562021089536289091<103>

Number: n
N=2488022393623269691497663302682674602747238783861762632356126995060742401002033247443245987752887483274713748580716511351868744734056174925034996700704590170285584096134341835439
  ( 178 digits)
SNFS difficulty: 185 digits.
Divisors found:

Thu Jul 16 02:37:54 2009  prp76 factor: 2382309436848608429515710782337046103074905774875135063353620428270919969829
Thu Jul 16 02:37:54 2009  prp103 factor: 1044374150200446498197582320576516819989106942296904804562163907478690398558019374206562021089536289091
Thu Jul 16 02:37:54 2009  elapsed time 02:45:14 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 193.61 hours.
Scaled time: 494.47 units (timescale=2.554).
Factorization parameters were as follows:
name: KA_4_6_182_7
n: 2488022393623269691497663302682674602747238783861762632356126995060742401002033247443245987752887483274713748580716511351868744734056174925034996700704590170285584096134341835439
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: 50
skew: 1.48
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [4400000, 7649990)
Primes: RFBsize:590006, AFBsize:591015, largePrimes:20956756 encountered
Relations: rels:20817925, finalFF:1183054
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2257684 hash collisions in 23732928 relations
Msieve: matrix is 1367636 x 1367884 (364.2 MB)

Total sieving time: 193.00 hours.
Total relation processing time: 0.61 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,56,56,2.5,2.5,100000
total time: 193.61 hours.
 --------- CPU info (if available) ----------

8256886018810337495620127673494357954697747711069380224676085898931890720294644797513068126524321628047553336292399751136057480571096517504506036552062526516926652300959<169>

1488247983280186098571489708637<31>

5548057925542539633876144788364042228068713112868763687008067831727809467689271994969198458381672917577464003883096593416056508405328606507<139>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=1804857347
Step 1 took 4577ms
Step 2 took 5369ms
********** Factor found in step 2: 1488247983280186098571489708637
Found probable prime factor of 31 digits: 1488247983280186098571489708637
Composite cofactor has 139 digits

GMP-ECM 6.2.1

5548057925542539633876144788364042228068713112868763687008067831727809467689271994969198458381672917577464003883096593416056508405328606507<139>

4690868957961877490011751313728263420395261193857269356139263<61>
1182735645626114394078536118634438413598298142839120817419979140102620272056789<79>

Number: 46667_186
N=5548057925542539633876144788364042228068713112868763687008067831727809467689271994969198458381672917577464003883096593416056508405328606507
  ( 139 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=4690868957961877490011751313728263420395261193857269356139263
 r2=1182735645626114394078536118634438413598298142839120817419979140102620272056789
Version: 
Total time: 76.92 hours.
Scaled time: 396.99 units (timescale=5.161).
Factorization parameters were as follows:
n: 5548057925542539633876144788364042228068713112868763687008067831727809467689271994969198458381672917577464003883096593416056508405328606507
m: 10000000000000000000000000000000000000
deg: 5
c5: 140
c0: 1
skew: 0.37
# Murphy_E = 6.041e-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, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20280023
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1716310 x 1716558
Total sieving time: 70.19 hours.
Total relation processing time: 2.39 hours.
Matrix solve time: 4.21 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 76.92 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368512k/51380224k available (5398k kernel code, 1086464k absent, 925248k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.34 BogoMIPS (lpj=3400174)
Total of 12 processors activated (81604.17 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

1824963484187789745482248040956833362078980104750063984175967259882340381707872572289508701734584893697827756713063145581614330138753735002749118985783328660797031139<166>

839922888034454777047106107026385657071119<42>

2172775037073316742389295630799394302968353732239871556299167449909960896162557784632484514749501477366450009514945988569581<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=117479385
Step 1 took 19729ms
Step 2 took 8246ms
********** Factor found in step 2: 839922888034454777047106107026385657071119
Found probable prime factor of 42 digits: 839922888034454777047106107026385657071119

2172775037073316742389295630799394302968353732239871556299167449909960896162557784632484514749501477366450009514945988569581<124>

3302288995115474147340758012502587117934662552682752761799<58>
657960293689359352539477585790525652851843958590079365241742184619<66>

Number: 46667_187
N = 2172775037073316742389295630799394302968353732239871556299167449909960896162557784632484514749501477366450009514945988569581 (124 digits)
Divisors found:
r1=3302288995115474147340758012502587117934662552682752761799 (pp58)
r2=657960293689359352539477585790525652851843958590079365241742184619 (pp66)
Version: Msieve v. 1.51 (SVN 845)
Total time: 45.67 hours.
Factorization parameters were as follows:
# Murphy_E = 1.982e-10, selected by Dmitry Domanov
n: 2172775037073316742389295630799394302968353732239871556299167449909960896162557784632484514749501477366450009514945988569581
Y0: -698107345494157256480307
Y1: 351191133107
c0: -3129067334761541715261159160
c1: -2092797957308455014886538
c2: -20362420784392959431
c3: 385496971953038
c4: -9584097030
c5: 13104
skew: 89155.6
type: gnfs
# selected mechanically
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10388493
Relations: 1670040 relations
Pruned matrix : 964396 x 964624
Polynomial selection time: 0.00 hours.
Total sieving time: 44.42 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.76 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 45.67 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

2580041526416713571715258453999499789448227778085494944072419889595031256518864549673707805569163787000596982422187918898134350703239301756483768041<148>

4810128570097211267961910453561547496217403599438229222687928658063594943<73>
536376832514597775028105148143600200102404950030574857862384626384199456087<75>

Number: 46667_188
N=2580041526416713571715258453999499789448227778085494944072419889595031256518864549673707805569163787000596982422187918898134350703239301756483768041
  ( 148 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=4810128570097211267961910453561547496217403599438229222687928658063594943
 r2=536376832514597775028105148143600200102404950030574857862384626384199456087
Version: 
Total time: 105.58 hours.
Scaled time: 554.83 units (timescale=5.255).
Factorization parameters were as follows:
n: 2580041526416713571715258453999499789448227778085494944072419889595031256518864549673707805569163787000596982422187918898134350703239301756483768041
m: 20000000000000000000000000000000000000
deg: 5
c5: 875
c0: 2
skew: 0.30
# Murphy_E = 4.186e-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
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 9200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21319525
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1815768 x 1816016
Total sieving time: 98.20 hours.
Total relation processing time: 2.65 hours.
Matrix solve time: 4.58 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 105.58 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

116210540296004847639680919059358683832623618962239875156676710577649392799926953374671082667197914850876974541590922296652306364187231781922620381668617343593063890894904167808020187431<186>

10128992616845406650370872567<29>

11473060026002633862873187847428263852356990812032173801213368823063425357300143024973808939526542988293615478197607055708097005793552950139882721311441146193<158>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=559243349
Step 1 took 5299ms
Step 2 took 5887ms
********** Factor found in step 2: 10128992616845406650370872567
Found probable prime factor of 29 digits: 10128992616845406650370872567
Composite cofactor has 158 digits

GMP-ECM 6.2.1

11473060026002633862873187847428263852356990812032173801213368823063425357300143024973808939526542988293615478197607055708097005793552950139882721311441146193<158>

459435476721751671675714552765084722801618645567679208493<57>
24972081189435603181797774431202042876459828334256341538004746101978619007903680586304534501466958901<101>

Number: 46667_189
N=11473060026002633862873187847428263852356990812032173801213368823063425357300143024973808939526542988293615478197607055708097005793552950139882721311441146193
  ( 158 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=459435476721751671675714552765084722801618645567679208493
 r2=24972081189435603181797774431202042876459828334256341538004746101978619007903680586304534501466958901
Version: 
Total time: 86.66 hours.
Scaled time: 455.33 units (timescale=5.254).
Factorization parameters were as follows:
n: 11473060026002633862873187847428263852356990812032173801213368823063425357300143024973808939526542988293615478197607055708097005793552950139882721311441146193
m: 100000000000000000000000000000000000000
deg: 5
c5: 7
c0: 5
skew: 0.93
# Murphy_E = 4.885e-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
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20610661
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1771181 x 1771429
Total sieving time: 80.06 hours.
Total relation processing time: 2.06 hours.
Matrix solve time: 4.24 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 86.66 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

56427041729502917363826915764240949333156336362440098444008891355940750276550408536783047532702190538267975982490004449200099777019709364183271<143>

464780196570807563341613087771026795926127031197<48>
121405864849292183425606305100493040359507197626702107441610518662489234365864058438244818479443<96>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 56427041729502917363826915764240949333156336362440098444008891355940750276550408536783047532702190538267975982490004449200099777019709364183271 (143 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7301488348
Step 1 took 24802ms
********** Factor found in step 1: 464780196570807563341613087771026795926127031197
Found probable prime factor of 48 digits: 464780196570807563341613087771026795926127031197
Probable prime cofactor 121405864849292183425606305100493040359507197626702107441610518662489234365864058438244818479443 has 96 digits

Core i7-4930K

327195058138740776083511172174020119375507353876349316427460570209259505664029056973569444641051270926949350176559159920663857282025515203111364042217357972049473843726635792469339<180>

1101755951024994305895466399271699818436590631796021934710201540613<67>
296975984413192488837739509202479120944162544111718224105052666437241219152033598542468293112104964301740960257503<114>

N=327195058138740776083511172174020119375507353876349316427460570209259505664029056973569444641051270926949350176559159920663857282025515203111364042217357972049473843726635792469339
  ( 180 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=1101755951024994305895466399271699818436590631796021934710201540613 (pp67)
 r2=296975984413192488837739509202479120944162544111718224105052666437241219152033598542468293112104964301740960257503 (pp114)
Version: Msieve v. 1.47
Total time:
Scaled time: 55.11 units (timescale=1.874).
Factorization parameters were as follows:
n: 327195058138740776083511172174020119375507353876349316427460570209259505664029056973569444641051270926949350176559159920663857282025515203111364042217357972049473843726635792469339
m: 100000000000000000000000000000000000000
deg: 5
c5: 140
c0: 1
skew: 0.37
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5600000, 17600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2347975 x 2348202
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
total time:

13915426798417221763516733555140790467883711477301476724453606705243629704172864923576093496565142657883142956882928923035944236867298022809754273416320260581292424924549<170>

462119935655791361486982051216493<33>
30112154280186876402133415618899951125050959464703518389615185245091234262257669146945323775268235498034779512356171484421776174648079993<137>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3931416344
Step 1 took 4596ms
Step 2 took 5150ms
********** Factor found in step 2: 462119935655791361486982051216493
Found probable prime factor of 33 digits: 462119935655791361486982051216493
Probable prime cofactor has 137 digits

GMP-ECM 6.2.1

2499526764141216243799449425199411906608984491855257164941012046487979086152144092099222586012959912209154129738863925316694150159861638519<139>

300304125643577097155478944475718909<36>

8323318098892312395018467980900645024149797138390385911208071430477385229001986137257942282261530204291<103>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2390175780
Step 1 took 11879ms
Step 2 took 11261ms
********** Factor found in step 2: 300304125643577097155478944475718909
Found probable prime factor of 36 digits: 300304125643577097155478944475718909
Composite cofactor has 103 digits

GMP-ECM 6.2.1

8323318098892312395018467980900645024149797138390385911208071430477385229001986137257942282261530204291<103>

36569467023955655702572987728072281<35>
227602936992216342653791484918798807288750684295729520069400243313211<69>

Sat Feb 14 08:07:36 2009  Msieve v. 1.39
Sat Feb 14 08:07:36 2009  random seeds: 54bcde54 f0c5251e
Sat Feb 14 08:07:36 2009  factoring 8323318098892312395018467980900645024149797138390385911208071430477385229001986137257942282261530204291 (103 digits)
Sat Feb 14 08:07:37 2009  searching for 15-digit factors
Sat Feb 14 08:07:39 2009  commencing quadratic sieve (103-digit input)
Sat Feb 14 08:07:39 2009  using multiplier of 3
Sat Feb 14 08:07:39 2009  using 32kb Intel Core sieve core
Sat Feb 14 08:07:39 2009  sieve interval: 36 blocks of size 32768
Sat Feb 14 08:07:39 2009  processing polynomials in batches of 6
Sat Feb 14 08:07:39 2009  using a sieve bound of 3491867 (125000 primes)
Sat Feb 14 08:07:39 2009  using large prime bound of 523780050 (28 bits)
Sat Feb 14 08:07:39 2009  using double large prime bound of 4948437687597450 (44-53 bits)
Sat Feb 14 08:07:39 2009  using trial factoring cutoff of 53 bits
Sat Feb 14 08:07:39 2009  polynomial 'A' values have 14 factors
Sun Feb 15 10:05:35 2009  125322 relations (29305 full + 96017 combined from 1879366 partial), need 125096
Sun Feb 15 10:05:38 2009  begin with 1908671 relations
Sun Feb 15 10:05:40 2009  reduce to 331728 relations in 12 passes
Sun Feb 15 10:05:40 2009  attempting to read 331728 relations
Sun Feb 15 10:05:47 2009  recovered 331728 relations
Sun Feb 15 10:05:47 2009  recovered 324855 polynomials
Sun Feb 15 10:05:48 2009  attempting to build 125322 cycles
Sun Feb 15 10:05:48 2009  found 125322 cycles in 6 passes
Sun Feb 15 10:05:48 2009  distribution of cycle lengths:
Sun Feb 15 10:05:48 2009     length 1 : 29305
Sun Feb 15 10:05:48 2009     length 2 : 21336
Sun Feb 15 10:05:48 2009     length 3 : 21156
Sun Feb 15 10:05:48 2009     length 4 : 17003
Sun Feb 15 10:05:48 2009     length 5 : 13040
Sun Feb 15 10:05:48 2009     length 6 : 9175
Sun Feb 15 10:05:48 2009     length 7 : 5943
Sun Feb 15 10:05:48 2009     length 9+: 8364
Sun Feb 15 10:05:48 2009  largest cycle: 22 relations
Sun Feb 15 10:05:48 2009  matrix is 125000 x 125322 (36.0 MB) with weight 8946269 (71.39/col)
Sun Feb 15 10:05:48 2009  sparse part has weight 8946269 (71.39/col)
Sun Feb 15 10:05:51 2009  filtering completed in 3 passes
Sun Feb 15 10:05:51 2009  matrix is 120297 x 120361 (34.8 MB) with weight 8630529 (71.71/col)
Sun Feb 15 10:05:51 2009  sparse part has weight 8630529 (71.71/col)
Sun Feb 15 10:05:51 2009  saving the first 48 matrix rows for later
Sun Feb 15 10:05:51 2009  matrix is 120249 x 120361 (22.1 MB) with weight 6954167 (57.78/col)
Sun Feb 15 10:05:51 2009  sparse part has weight 5074835 (42.16/col)
Sun Feb 15 10:05:51 2009  matrix includes 64 packed rows
Sun Feb 15 10:05:51 2009  using block size 43690 for processor cache size 1024 kB
Sun Feb 15 10:05:52 2009  commencing Lanczos iteration
Sun Feb 15 10:05:52 2009  memory use: 21.0 MB
Sun Feb 15 10:07:37 2009  lanczos halted after 1904 iterations (dim = 120247)
Sun Feb 15 10:07:37 2009  recovered 17 nontrivial dependencies
Sun Feb 15 10:07:38 2009  prp35 factor: 36569467023955655702572987728072281
Sun Feb 15 10:07:38 2009  prp69 factor: 227602936992216342653791484918798807288750684295729520069400243313211
Sun Feb 15 10:07:38 2009  elapsed time 26:00:02

55662327796816359693864180752745903201583934513996760905692969215771955444591327929794318921951893105984604803668310015176874223643633679747100911616916538744283223192666365069<176>

2302547123295387084975840675017<31>

24174240446012188423303584163418618873580884672507283345705373054705879742773704017354755985074043014862200477183294129720127756212163374408552357<146>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=1926129916
Step 1 took 5350ms
Step 2 took 5715ms
********** Factor found in step 2: 2302547123295387084975840675017
Found probable prime factor of 31 digits: 2302547123295387084975840675017
Composite cofactor has 146 digits

GMP-ECM 6.2.1

24174240446012188423303584163418618873580884672507283345705373054705879742773704017354755985074043014862200477183294129720127756212163374408552357<146>

33199825608188242560984737083559835626260440918773517208542689<62>
728143597237750912459398693376963576660482765454756508776486836885164994263491756613<84>

Number: 46667_198
N=24174240446012188423303584163418618873580884672507283345705373054705879742773704017354755985074043014862200477183294129720127756212163374408552357
  ( 146 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=33199825608188242560984737083559835626260440918773517208542689
 r2=728143597237750912459398693376963576660482765454756508776486836885164994263491756613
Version: 
Total time: 225.43 hours.
Scaled time: 1177.64 units (timescale=5.224).
Factorization parameters were as follows:
n: 24174240446012188423303584163418618873580884672507283345705373054705879742773704017354755985074043014862200477183294129720127756212163374408552357
m: 2000000000000000000000000000000000000000
deg: 5
c5: 875
c0: 2
skew: 0.30
# Murphy_E = 1.617e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 16700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 35528863
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2947133 x 2947381
Total sieving time: 205.59 hours.
Total relation processing time: 3.20 hours.
Matrix solve time: 15.91 hours.
Time per square root: 0.72 hours.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 225.43 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367704k/51380224k available (5488k kernel code, 1086464k absent, 926056k reserved, 6940k data, 1328k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.37 BogoMIPS (lpj=3400188)
Total of 12 processors activated (81604.51 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

686375447369711232043928028631661518850811393832426337206451929205275285581212923469137618277197627102024807569740648134529587684463401480609893611805657694759033191155562092464578124233955973917733<198>

17268657808265784724924226260641198943477949649024528350163893333443862548782385324754967379<92>
39746890290522289081279371334625966365011301137370225441717922329881930335373256628682163100398324661871527<107>

Number: n
N=686375447369711232043928028631661518850811393832426337206451929205275285581212923469137618277197627102024807569740648134529587684463401480609893611805657694759033191155562092464578124233955973917733
  ( 198 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sat Apr 24 15:50:01 2010  prp92 factor: 17268657808265784724924226260641198943477949649024528350163893333443862548782385324754967379
Sat Apr 24 15:50:01 2010  prp107 factor: 39746890290522289081279371334625966365011301137370225441717922329881930335373256628682163100398324661871527
Sat Apr 24 15:50:01 2010  elapsed time 06:47:17 (Msieve 1.42 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.018).
Factorization parameters were as follows:
name: KA_4_6_200_7
n: 686375447369711232043928028631661518850811393832426337206451929205275285581212923469137618277197627102024807569740648134529587684463401480609893611805657694759033191155562092464578124233955973917733
m: 10000000000000000000000000000000000000000
deg: 5
c5: 140
c0: 1
skew: 0.37
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6128828 hash collisions in 37325154 relations
Msieve: matrix is 1940010 x 1940236 (545.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

1115246629277280421925646690899633855041743317465106100460432520411029259547058267893911936847352273001607091782573717464101542874417799547829711218510618214954274964837<169>

48326866642981153173983078876394571667<38>

23077155767541478781930367183793746984412107008662130995816782221600812881088549133359158521039434158160035804765349982799711529511<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2477402787
Step 1 took 19404ms
Step 2 took 8237ms
********** Factor found in step 2: 48326866642981153173983078876394571667
Found probable prime factor of 38 digits: 48326866642981153173983078876394571667

23077155767541478781930367183793746984412107008662130995816782221600812881088549133359158521039434158160035804765349982799711529511<131>

25915548953530345770209308165783343256327618071<47>
890475282191458002512032968010960962541470506981680818115817128014309646066093526641<84>

01/28/14 10:24:59 v1.34.3, 
01/28/14 10:24:59 v1.34.3, ****************************
01/28/14 10:24:59 v1.34.3, Starting factorization of 23077155767541478781930367183793746984412107008662130995816782221600812881088549133359158521039434158160035804765349982799711529511
01/28/14 10:24:59 v1.34.3, using pretesting plan: none
01/28/14 10:24:59 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/28/14 10:24:59 v1.34.3, ****************************
01/28/14 10:24:59 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C131
01/28/14 10:24:59 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C131
01/28/14 10:24:59 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C131
01/28/14 10:24:59 v1.34.3, final ECM pretested depth: 0.00
01/28/14 10:24:59 v1.34.3, scheduler: switching to sieve method
01/28/14 10:24:59 v1.34.3, nfs: commencing nfs on c131: 23077155767541478781930367183793746984412107008662130995816782221600812881088549133359158521039434158160035804765349982799711529511
01/28/14 10:24:59 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/28/14 10:24:59 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/28/14 10:41:11 v1.34.3, nfs: commencing lattice sieving with 6 threads
[73 lines snipped]
01/29/14 08:41:45 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/29/14 09:00:41 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/29/14 09:18:57 v1.34.3, nfs: commencing msieve filtering
01/29/14 09:24:14 v1.34.3, nfs: commencing msieve linear algebra
01/29/14 10:24:39 v1.34.3, nfs: commencing msieve sqrt
01/29/14 10:29:58 v1.34.3, prp84 = 890475282191458002512032968010960962541470506981680818115817128014309646066093526641
01/29/14 10:29:58 v1.34.3, prp47 = 25915548953530345770209308165783343256327618071
01/29/14 10:29:58 v1.34.3, NFS elapsed time = 86699.5266 seconds.
01/29/14 10:29:58 v1.34.3, 
01/29/14 10:29:58 v1.34.3, 
01/29/14 10:29:58 v1.34.3, Total factoring time = 86699.5616 seconds
--
Wed Jan 29 09:18:57 2014  
Wed Jan 29 09:18:57 2014  commencing relation filtering
Wed Jan 29 09:18:57 2014  estimated available RAM is 15988.7 MB
Wed Jan 29 09:18:57 2014  commencing duplicate removal, pass 1
Wed Jan 29 09:20:46 2014  found 3018634 hash collisions in 21030174 relations
Wed Jan 29 09:21:10 2014  added 119752 free relations
Wed Jan 29 09:21:10 2014  commencing duplicate removal, pass 2
Wed Jan 29 09:21:30 2014  found 2116180 duplicates and 19033746 unique relations
Wed Jan 29 09:21:30 2014  memory use: 82.6 MB
Wed Jan 29 09:21:30 2014  reading ideals above 720000
Wed Jan 29 09:21:30 2014  commencing singleton removal, initial pass
Wed Jan 29 09:23:09 2014  memory use: 376.5 MB
Wed Jan 29 09:23:09 2014  reading all ideals from disk
Wed Jan 29 09:23:09 2014  memory use: 590.9 MB
Wed Jan 29 09:23:10 2014  keeping 19994207 ideals with weight <= 200, target excess is 120068
Wed Jan 29 09:23:11 2014  commencing in-memory singleton removal
Wed Jan 29 09:23:12 2014  begin with 19033746 relations and 19994207 unique ideals
Wed Jan 29 09:23:20 2014  reduce to 8183136 relations and 7451478 ideals in 16 passes
Wed Jan 29 09:23:20 2014  max relations containing the same ideal: 118
Wed Jan 29 09:23:23 2014  removing 1728038 relations and 1431848 ideals in 296190 cliques
Wed Jan 29 09:23:23 2014  commencing in-memory singleton removal
Wed Jan 29 09:23:24 2014  begin with 6455098 relations and 7451478 unique ideals
Wed Jan 29 09:23:27 2014  reduce to 6159762 relations and 5710630 ideals in 10 passes
Wed Jan 29 09:23:27 2014  max relations containing the same ideal: 97
Wed Jan 29 09:23:29 2014  removing 1342976 relations and 1046786 ideals in 296190 cliques
Wed Jan 29 09:23:29 2014  commencing in-memory singleton removal
Wed Jan 29 09:23:29 2014  begin with 4816786 relations and 5710630 unique ideals
Wed Jan 29 09:23:31 2014  reduce to 4576527 relations and 4411898 ideals in 10 passes
Wed Jan 29 09:23:31 2014  max relations containing the same ideal: 75
Wed Jan 29 09:23:33 2014  removing 193484 relations and 168134 ideals in 25350 cliques
Wed Jan 29 09:23:33 2014  commencing in-memory singleton removal
Wed Jan 29 09:23:33 2014  begin with 4383043 relations and 4411898 unique ideals
Wed Jan 29 09:23:35 2014  reduce to 4377604 relations and 4238297 ideals in 7 passes
Wed Jan 29 09:23:35 2014  max relations containing the same ideal: 73
Wed Jan 29 09:23:35 2014  relations with 0 large ideals: 490
Wed Jan 29 09:23:35 2014  relations with 1 large ideals: 1550
Wed Jan 29 09:23:35 2014  relations with 2 large ideals: 25809
Wed Jan 29 09:23:35 2014  relations with 3 large ideals: 167143
Wed Jan 29 09:23:35 2014  relations with 4 large ideals: 568494
Wed Jan 29 09:23:35 2014  relations with 5 large ideals: 1097866
Wed Jan 29 09:23:35 2014  relations with 6 large ideals: 1255510
Wed Jan 29 09:23:35 2014  relations with 7+ large ideals: 1260742
Wed Jan 29 09:23:35 2014  commencing 2-way merge
Wed Jan 29 09:23:37 2014  reduce to 2577215 relation sets and 2437908 unique ideals
Wed Jan 29 09:23:37 2014  commencing full merge
Wed Jan 29 09:24:04 2014  memory use: 297.6 MB
Wed Jan 29 09:24:04 2014  found 1336772 cycles, need 1318108
Wed Jan 29 09:24:05 2014  weight of 1318108 cycles is about 92429976 (70.12/cycle)
Wed Jan 29 09:24:05 2014  distribution of cycle lengths:
Wed Jan 29 09:24:05 2014  1 relations: 169106
Wed Jan 29 09:24:05 2014  2 relations: 151229
Wed Jan 29 09:24:05 2014  3 relations: 147184
Wed Jan 29 09:24:05 2014  4 relations: 134510
Wed Jan 29 09:24:05 2014  5 relations: 124988
Wed Jan 29 09:24:05 2014  6 relations: 109074
Wed Jan 29 09:24:05 2014  7 relations: 95861
Wed Jan 29 09:24:05 2014  8 relations: 83612
Wed Jan 29 09:24:05 2014  9 relations: 70307
Wed Jan 29 09:24:05 2014  10+ relations: 232237
Wed Jan 29 09:24:05 2014  heaviest cycle: 20 relations
Wed Jan 29 09:24:05 2014  commencing cycle optimization
Wed Jan 29 09:24:06 2014  start with 7559187 relations
Wed Jan 29 09:24:12 2014  pruned 173027 relations
Wed Jan 29 09:24:12 2014  memory use: 253.8 MB
Wed Jan 29 09:24:12 2014  distribution of cycle lengths:
Wed Jan 29 09:24:12 2014  1 relations: 169106
Wed Jan 29 09:24:12 2014  2 relations: 154497
Wed Jan 29 09:24:12 2014  3 relations: 152064
Wed Jan 29 09:24:12 2014  4 relations: 137483
Wed Jan 29 09:24:12 2014  5 relations: 127869
Wed Jan 29 09:24:12 2014  6 relations: 110876
Wed Jan 29 09:24:12 2014  7 relations: 96862
Wed Jan 29 09:24:12 2014  8 relations: 83807
Wed Jan 29 09:24:12 2014  9 relations: 69866
Wed Jan 29 09:24:12 2014  10+ relations: 215678
Wed Jan 29 09:24:12 2014  heaviest cycle: 19 relations
Wed Jan 29 09:24:14 2014  RelProcTime: 317
Wed Jan 29 09:24:14 2014  
Wed Jan 29 09:24:14 2014  commencing linear algebra
Wed Jan 29 09:24:14 2014  read 1318108 cycles
Wed Jan 29 09:24:16 2014  cycles contain 4270020 unique relations
Wed Jan 29 09:24:43 2014  read 4270020 relations
Wed Jan 29 09:24:47 2014  using 20 quadratic characters above 268434858
Wed Jan 29 09:25:05 2014  building initial matrix
Wed Jan 29 09:25:36 2014  memory use: 561.6 MB
Wed Jan 29 09:25:36 2014  read 1318108 cycles
Wed Jan 29 09:25:36 2014  matrix is 1317943 x 1318108 (394.8 MB) with weight 124029995 (94.10/col)
Wed Jan 29 09:25:36 2014  sparse part has weight 89003017 (67.52/col)
Wed Jan 29 09:25:46 2014  filtering completed in 2 passes
Wed Jan 29 09:25:46 2014  matrix is 1317014 x 1317185 (394.8 MB) with weight 123994871 (94.14/col)
Wed Jan 29 09:25:46 2014  sparse part has weight 88993442 (67.56/col)
Wed Jan 29 09:25:50 2014  matrix starts at (0, 0)
Wed Jan 29 09:25:50 2014  matrix is 1317014 x 1317185 (394.8 MB) with weight 123994871 (94.14/col)
Wed Jan 29 09:25:50 2014  sparse part has weight 88993442 (67.56/col)
Wed Jan 29 09:25:50 2014  saving the first 48 matrix rows for later
Wed Jan 29 09:25:50 2014  matrix includes 64 packed rows
Wed Jan 29 09:25:51 2014  matrix is 1316966 x 1317185 (381.0 MB) with weight 98723643 (74.95/col)
Wed Jan 29 09:25:51 2014  sparse part has weight 86712108 (65.83/col)
Wed Jan 29 09:25:51 2014  using block size 65536 for processor cache size 8192 kB
Wed Jan 29 09:25:55 2014  commencing Lanczos iteration (6 threads)
Wed Jan 29 09:25:55 2014  memory use: 348.9 MB
Wed Jan 29 09:25:59 2014  linear algebra at 0.1%, ETA 0h57m
Wed Jan 29 09:26:00 2014  checkpointing every 1470000 dimensions
Wed Jan 29 10:24:38 2014  lanczos halted after 20829 iterations (dim = 1316960)
Wed Jan 29 10:24:39 2014  recovered 29 nontrivial dependencies
Wed Jan 29 10:24:39 2014  BLanczosTime: 3625
Wed Jan 29 10:24:39 2014  
Wed Jan 29 10:24:39 2014  commencing square root phase
Wed Jan 29 10:24:39 2014  reading relations for dependency 1
Wed Jan 29 10:24:39 2014  read 658185 cycles
Wed Jan 29 10:24:40 2014  cycles contain 2134794 unique relations
Wed Jan 29 10:25:01 2014  read 2134794 relations
Wed Jan 29 10:25:07 2014  multiplying 2134794 relations
Wed Jan 29 10:27:22 2014  multiply complete, coefficients have about 101.21 million bits
Wed Jan 29 10:27:23 2014  initial square root is modulo 18392027
Wed Jan 29 10:29:58 2014  sqrtTime: 319
--
# Murphy_E = 7.563e-11, selected by Dmitry Domanov
n: 23077155767541478781930367183793746984412107008662130995816782221600812881088549133359158521039434158160035804765349982799711529511
Y0: -14629308235953580852203511
Y1: 5626841394031
c0: 48090227407197771464811237284280
c1: 424034514207257020590745662
c2: -3682288692238494717889
c3: -8164648684645388
c4: 38407718936
c5: 34440
skew: 325867.9
type: gnfs
# selected mechanically
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6

yafu v1.34.3

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

106615326389358325760773236486145211822883072539764654223992313853783311195692625991630800030554487055421862692742488233113047463734916705261511407034507526971034786420510773777360103<183>

112360807546434592703472842276954937402993236727532039<54>
948865789748779878460107598266404543993875458375712271502886557213291719402778746414798680029226582788593353958724843696658322977<129>

Number: n
N=106615326389358325760773236486145211822883072539764654223992313853783311195692625991630800030554487055421862692742488233113047463734916705261511407034507526971034786420510773777360103  ( 183 digits)
SNFS difficulty: 204 digits.
Divisors found:

Mon Sep 20 06:24:03 2021  p54 factor: 112360807546434592703472842276954937402993236727532039
Mon Sep 20 06:24:03 2021  p129 factor: 948865789748779878460107598266404543993875458375712271502886557213291719402778746414798680029226582788593353958724843696658322977
Mon Sep 20 06:24:03 2021  elapsed time 01:56:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 14x10^203+1 = 46(202)7
#
n: 106615326389358325760773236486145211822883072539764654223992313853783311195692625991630800030554487055421862692742488233113047463734916705261511407034507526971034786420510773777360103
m: 10000000000000000000000000000000000000000
deg: 5
c5: 14000
c0: 1
skew: 0.15
# Murphy_E = 9.988e-12
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10548641 hash collisions in 71604261 relations (62468780 unique)
Msieve: matrix is 2262305 x 2262533 (770.4 MB)

Sieving start time : 2021/09/19 13:31:30
Sieving end time  : 2021/09/20 04:26:36

Total sieving time: 14hrs 55min 6secs.

Total relation processing time: 1hrs 35min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.154026] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892)
[    0.150212] smpboot: Total of 16 processors activated (102391.13 BogoMIPS)

4234701032303786786575259415672820302539561145491882427550155953121683080887515659392494869705591978736554013855370782705332309470029079698025264671461720948116723037054034637460508563487<187>

85546395577581480397571844796656383<35>

49501805467225833449350459682062479620662966987145895723889560077810294783203738814482530345222472524750975100610029437647086129084137651615311158833889<152>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3996907096
Step 1 took 16003ms
Step 2 took 15084ms
********** Factor found in step 2: 85546395577581480397571844796656383
Found probable prime factor of 35 digits: 85546395577581480397571844796656383
Composite cofactor has 152 digits

GMP-ECM 6.2.1

49501805467225833449350459682062479620662966987145895723889560077810294783203738814482530345222472524750975100610029437647086129084137651615311158833889<152>

5476781544672811626213099909062352598137851491<46>
9038484566793711783196145062708695175472617051699094033551613836093723151366430670957603234101964960787179<106>

#
# N = 14x10^205+1 = 46(204)7
#
n: 49501805467225833449350459682062479620662966987145895723889560077810294783203738814482530345222472524750975100610029437647086129084137651615311158833889
m: 100000000000000000000000000000000000000000
deg: 5
c5: 14
c0: 1
skew: 0.59
# Murphy_E = 1.278e-11
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
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 49501805467225833449350459682062479620662966987145895723889560077810294783203738814482530345222472524750975100610029437647086129084137651615311158833889 (152 digits)
Using B1=37380000, B2=192391008826, polynomial Dickson(12), sigma=1:3518910120
Step 1 took 78760ms
Step 2 took 10529ms
********** Factor found in step 2: 5476781544672811626213099909062352598137851491
Found prime factor of 46 digits: 5476781544672811626213099909062352598137851491
Prime cofactor 9038484566793711783196145062708695175472617051699094033551613836093723151366430670957603234101964960787179 has 106 digits

48177212779926922027018900431471092528919993884558763283933099145482791430163087574620142580060587896647839854269647371303362331937166815043695130729245638733640231845612463783868281<182>

40520510798508369594312565278229728744811<41>
1188958673781091844872216784011693406421211049260708572682815973718889692744295461505543388815196336721464431952938798743103289694498731129771<142>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3854128432
Step 1 took 83711ms
Step 2 took 29199ms
********** Factor found in step 2: 40520510798508369594312565278229728744811
Found probable prime factor of 41 digits: 40520510798508369594312565278229728744811

34620881778220512728440753097760304706914685318941310244175721529185015340085117687557443367619714396946810303524491494411175396685784529620728510193994103481247757538986361604137567<182>

3271173970967363962906205285364951106247<40>

10583625965934882507064266695991774533815862799685394569743798139181777211281708739188298411634341058744127374483581878131706487316887411739561<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1128310858
Step 1 took 22980ms
Step 2 took 8938ms
********** Factor found in step 2: 3271173970967363962906205285364951106247
Found probable prime factor of 40 digits: 3271173970967363962906205285364951106247

10583625965934882507064266695991774533815862799685394569743798139181777211281708739188298411634341058744127374483581878131706487316887411739561<143>

3040422792917940603803112213305025767789342521<46>
1302708411088824950551470979353247583486969982917<49>
2672103563954732476942950234957217372482478822973<49>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3818347439
Step 1 took 33695ms
Step 2 took 18975ms
********** Factor found in step 2: 3040422792917940603803112213305025767789342521
Found probable prime factor of 46 digits: 3040422792917940603803112213305025767789342521
Composite cofactor

prp49 factor: 1302708411088824950551470979353247583486969982917
prp49 factor: 2672103563954732476942950234957217372482478822973

69006668957390420879738384606699388462742125280568170127278387463308416614156169674840386219522386036752161825186799172222162722424748759124258722401117365926034685516621317199712286486953<188>

12789701864078994141719726204539021<35>

5395486907415859136583783699284638328829223519403133144556376836847442759543497064155952870411295248872232311001923183039578250225788872580098869654398093<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3360341576
Step 1 took 23050ms
Step 2 took 9210ms
********** Factor found in step 2: 12789701864078994141719726204539021
Found probable prime factor of 35 digits: 12789701864078994141719726204539021

6458084315865867719531153256167359832261115293902699118241974586591082151021540265268566735583233840159157404982304246302659585245465501936096011822618881779948194514742583786526081713739993<190>

254908693981066565729371204683623<33>

25334892329508165924718729910283036446692479959513815488720976669140433126687498946865200580506440534048034070806378646855746519483199317302499524614384416191<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1610560044
Step 1 took 22880ms
********** Factor found in step 1: 254908693981066565729371204683623
Found probable prime factor of 33 digits: 254908693981066565729371204683623

378797410216220267447205787375061114903594706252078312576588101378092035324481920134895169169570554670342083824078906747382983392168688227274117016472546522409790073180953957986496954604106650951985534268043<207>

653692944557636203164927209257324892135630599051167758073047983339490569115378536552681725196174179029<102>
579472997788829039469706898998972604350908493436009946964128927130727908927033199984171798013833638143967<105>

Number: n
N=378797410216220267447205787375061114903594706252078312576588101378092035324481920134895169169570554670342083824078906747382983392168688227274117016472546522409790073180953957986496954604106650951985534268043
  ( 207 digits)
SNFS difficulty: 213 digits.
Divisors found:

Wed Nov 13 07:05:32 2019  p102 factor: 653692944557636203164927209257324892135630599051167758073047983339490569115378536552681725196174179029
Wed Nov 13 07:05:32 2019  p105 factor: 579472997788829039469706898998972604350908493436009946964128927130727908927033199984171798013833638143967
Wed Nov 13 07:05:32 2019  elapsed time 03:45:04 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.111).
Factorization parameters were as follows:
#
# N = 14x10^212+1 = 46(211)7
#
n: 378797410216220267447205787375061114903594706252078312576588101378092035324481920134895169169570554670342083824078906747382983392168688227274117016472546522409790073180953957986496954604106650951985534268043
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 1400
c0: 1
skew: 0.23
# Murphy_E = 4.763e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 59700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10570910 hash collisions in 67751192 relations (59690727 unique)
Msieve: matrix is 2866954 x 2867180 (999.1 MB)

Sieving start time: 2019/11/12 02:22:32
Sieving end time  : 2019/11/13 03:19:11

Total sieving time: 24hrs 56min 39secs.
Total relation processing time: 3hrs 21min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 37sec.

Prototype def-par.txt line would be:
snfs,213,5,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

21116138763197586726998491704374057315233785822021116138763197586726998491704374057315233785822021116138763197586726998491704374057315233785822021116138763197586726998491704374057315233785822021116138763197586727<212>

24483210813754598377505754289<29>

862474245058356474849218772259039268989823779437666575304037935399312092893576133104154429494647412764540832910406446504295090462519329610485123617919014731679144314365863996389350743<183>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:686033246
Step 1 took 5000ms
Step 2 took 2953ms
********** Factor found in step 2: 24483210813754598377505754289
Found probable prime factor of 29 digits: 24483210813754598377505754289
Composite cofactor 862474245058356474849218772259039268989823779437666575304037935399312092893576133104154429494647412764540832910406446504295090462519329610485123617919014731679144314365863996389350743 has 183 digits

GMP-ECM 7.0

11021491723082939967986127810343109110632647050138937052036414407634588000686850446991185282779077633703249170951849579895382696107567889123108020295538879709368339242961497640926632842483129401<194>

1284812157190187285423453942739154312343008107883592129724182140017349345809491225830175356152684890900287535664228622006031267979361002553582194033072125317081722756329<169>

1736796204224182243237615747086853062384664312586241872984041307590328794999409150395358545062222823078212402930392184594523214091156381223423<142>

5195631096158626547739199104083<31>

334280123449926426661936473800502692485918857442646641312870559665901498724655941086191444586521545849408146981<111>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1576266254
Step 1 took 8062ms
Step 2 took 5109ms
********** Factor found in step 2: 5195631096158626547739199104083
Found probable prime factor of 31 digits: 5195631096158626547739199104083
Composite cofactor 334280123449926426661936473800502692485918857442646641312870559665901498724655941086191444586521545849408146981 has 111 digits

GMP-ECM 7.0

334280123449926426661936473800502692485918857442646641312870559665901498724655941086191444586521545849408146981<111>

38924557955336174181610713381030192709033<41>
8587897743976817813706590501005164778101132254237840170632244296073757<70>

N=334280123449926426661936473800502692485918857442646641312870559665901498724655941086191444586521545849408146981
  ( 111 digits)
Divisors found:
 r1=38924557955336174181610713381030192709033 (pp41)
 r2=8587897743976817813706590501005164778101132254237840170632244296073757 (pp70)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 26.85 hours.
Scaled time: 26.50 units (timescale=0.987).
Factorization parameters were as follows:
n: 334280123449926426661936473800502692485918857442646641312870559665901498724655941086191444586521545849408146981
skew: 28645.16
c0: 18610637353264255201128485
c1: -7308680974770329587641
c2: 227069188037909989
c3: 7451987993235
c4: 178759488
c5: 5244
Y0: -2295564815746114643076
Y1: 11244182869
rlim: 3460000
alim: 3460000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 100000
Factor base limits: 3460000/3460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1730000, 2630001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 396087 x 396318
Total sieving time: 26.44 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3460000,3460000,26,26,52,52,2.5,2.5,100000
total time: 26.85 hours.
 --------- CPU info (if available) ----------

2882971932208974279771833364222318321286629188031547950001029632832931776528489940487222256543316653281439838553571796297440332777331603550174007948765470233314799942340561355820514404563332715553633574267416239369041<217>

1090965840017931568449375808789985076436973265774830626032168623903<67>
2642586803782590070479556546802461159577408686263901021007678177546079843584335589614921684136640897720995968765361061159295929185946195710543098255247<151>

Number: 46667_220
N = 2882971932208974279771833364222318321286629188031547950001029632832931776528489940487222256543316653281439838553571796297440332777331603550174007948765470233314799942340561355820514404563332715553633574267416239369041 (217 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1090965840017931568449375808789985076436973265774830626032168623903 (pp67)
r2=2642586803782590070479556546802461159577408686263901021007678177546079843584335589614921684136640897720995968765361061159295929185946195710543098255247 (pp151)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 38.51 hours.
Factorization parameters were as follows:
n: 2882971932208974279771833364222318321286629188031547950001029632832931776528489940487222256543316653281439838553571796297440332777331603550174007948765470233314799942340561355820514404563332715553633574267416239369041
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 14
c0: 1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30957003
Relations: 7013644 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.15 hours.
Total relation processing time: 0.31 hours.
Pruned matrix : 6242692 x 6242917
Matrix solve time: 19.89 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 38.51 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

64576873689205789206154727658434334334740340273644974688197394810210883891630490248189257697289102124626567287968546673792146109396630833858034898405471839653203742268230933886832430961<185>

59359804972597102043861687996778872542243<41>
1087888912691291658863240106851665916387412281909249822003425314031449639449197610001175506811284837534787039515022729004911237707662383239572827<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2501174312
Step 1 took 83986ms
Step 2 took 30433ms
********** Factor found in step 2: 59359804972597102043861687996778872542243
Found probable prime factor of 41 digits: 59359804972597102043861687996778872542243

185594338474184222582324092695913688260412999391492258817113468721066421050131303339479571444640130720617884630648913850711628901433270064699858886086755661251419277993111545843404914537<186>

41279037870300759575844017335223896223<38>

4496091673873889637668872434196250485289312549483240176072859232309251702908389590244983325103985851076710273330578357043823098207774660541594768119<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4232571623
Step 1 took 22750ms
Step 2 took 9284ms
********** Factor found in step 2: 41279037870300759575844017335223896223
Found probable prime factor of 38 digits: 41279037870300759575844017335223896223

4496091673873889637668872434196250485289312549483240176072859232309251702908389590244983325103985851076710273330578357043823098207774660541594768119<148>

443989345696852818099207898931273743584493339<45>
10126575597928272117786711207239853603289442741914099311681089161632990658673804083678217260325200072021<104>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2359347940
Step 1 took 29531ms
Step 2 took 18031ms
********** Factor found in step 2: 443989345696852818099207898931273743584493339
Found probable prime factor of 45 digits: 443989345696852818099207898931273743584493339
Probable prime cofactor 10126575597928272117786711207239853603289442741914099311681089161632990658673804083678217260325200072021 has 104 digits

GMP-ECM 7.0

1783325762765184727339837096563280019040326776394713427555331798089828201891748482913156725678583061483748052886866043750700642943826808445572887680893752006005260613228873697774578379027112378876406107<202>

9053343721159238087400274567118138381649971<43>
196979791963188408585897210408189822670477619563555432640295879547833239439540287244405560529152290132755881938106283570550235087498071132428808844298024194617<159>

 (14x10^224+1)/3 = 46(223)7

 GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
 Input number is 1783325762765184727339837096563280019040326776394713427555331798089828201891748482913156725678583061483748052886866043750700642943826808445572887680893752006005260613228873697774578379027112378876406107 (202 digits)
 Using B1=5990000, B2=14270867530, polynomial Dickson(12), sigma=751806397
 Step 1 took 32314ms
 Step 2 took 12449ms
 ********** Factor found in step 2: 9053343721159238087400274567118138381649971
 Found probable prime factor of 43 digits: 9053343721159238087400274567118138381649971
 Probable prime cofactor 196979791963188408585897210408189822670477619563555432640295879547833239439540287244405560529152290132755881938106283570550235087498071132428808844298024194617 has 159 digits

73815836483665339217905900896969273055709205456878986756436649764551352082403438544719208168698408822514367850052216232832637279322729879359215901317360717905234244166488951<173>

18401647851897133778761992210900616447<38>

4011370996649913165304660057160208517778089975905577311060105844475729110394120166122833856081513596160520434600473616169868952753674633<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=446846726
Step 1 took 19503ms
Step 2 took 8237ms
********** Factor found in step 2: 18401647851897133778761992210900616447
Found probable prime factor of 38 digits: 18401647851897133778761992210900616447

4011370996649913165304660057160208517778089975905577311060105844475729110394120166122833856081513596160520434600473616169868952753674633<136>

7346817892708902965247331249269275654753833<43>
546001147058627995883139891531447108903372416628332680374590794139934603459059016984335637601<93>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2969074325
Step 1 took 39097ms
Step 2 took 22120ms
********** Factor found in step 2: 7346817892708902965247331249269275654753833
Found probable prime factor of 43 digits: 7346817892708902965247331249269275654753833
Probable prime cofactor 

1182185237570147690114179967872524255278685096984047191379130048389920716088134527524903961039743364353241590957891644855380255853984038496361953564531361478025862583468117968075304825157467210925604385156609286229769<217>

50513253045064948977831580612276350472886923<44>

23403466740015172960074810565454413270975045188757644841427590388297558649863015677428079590194175583614609002114922319854027834334244959478230314000308097116120538311603003<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=384415755
Step 1 took 30412ms
Step 2 took 11083ms
********** Factor found in step 2: 50513253045064948977831580612276350472886923
Found probable prime factor of 44 digits: 50513253045064948977831580612276350472886923

268697589812070458084176415157994830799784436896011371310215972485601486441370934494323688811203757168097819239036468795973974219884945965988461779411916339030586383410394185156074274028945393673487390462480638133<213>

6467773479295321514574286826789741<34>
41544063142011223555949129958495444585328412685948428194738510407550053767591078758625215998728873930944628335343237204520631029884698985308412915558672657629771618134729501361513<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=977545855
Step 1 took 31594ms
Step 2 took 11188ms
********** Factor found in step 2: 6467773479295321514574286826789741
Found probable prime factor of 34 digits: 6467773479295321514574286826789741

599218411177433318215480832477531738555477273376977235106181352656038389629453649644810504689095933973082021816506559145311838632741779353648010228281627226046640995379508153909471477762185116021589000448947274048658272721<222>

3209098446200788436253192258270035452787<40>

186724845380434031253749942784996406073645511607509883274175044631565972074102682010458774276699995260790527520772017422467850202410392245779521636238213000008794794558483785041882283<183>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=49355307
Step 1 took 127826ms
Step 2 took 44144ms
********** Factor found in step 2: 3209098446200788436253192258270035452787
Found probable prime factor of 40 digits: 3209098446200788436253192258270035452787

67616240233736835415477576823520845883701407821205735897501529399542774994181297728447251112342319452404503941929945362722676705610057182465621408063673709590525607665993052478937135590492859478739162338793702567010362619<221>

227378610693559907036101424046208207<36>

297372914837903636782046581794051426725307737683894862554933321409564513214528576499648171006947225727629715784214203342651083310687991803856151744038961072032783362355575392687744823317<186>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3736104350
Step 1 took 30526ms
Step 2 took 11444ms
********** Factor found in step 2: 227378610693559907036101424046208207
Found probable prime factor of 36 digits: 227378610693559907036101424046208207

47906752661676344859992713510910751005993440460144921990536714608289584603456264306220599335187669191361043624272041915056966552634066758856917594909525155503220203084701093277335702690500445092085432951652692037099<215>

6200228341333547341758850715161092057963249353641280571886568149685493967090807811406230657305466534109184302907715920012595962714745153767965848905421445792308580379711942718901277<181>

152745420618441478006756541407619783463877<42>
40591909834218444184891437000121253206568178707472681736087357096592715994246716648571100306325630494032751975445192270918274842648092206201<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2681880178
Step 1 took 84305ms
Step 2 took 29190ms
********** Factor found in step 2: 152745420618441478006756541407619783463877
Found probable prime factor of 42 digits: 152745420618441478006756541407619783463877

62885385489694895975546275657193056937298757255486114193965652878572458137565806716141035076426460296555549182918476928651540407551054961958237064811637586479841703137958976798540785322209<188>

44428969293802051695168001620505578816794551<44>

1415414007780449654178778767133246178602295470658120130799112677987270104059785781699173870645664142385484018187876678641585672103600573939358759<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3291978903
Step 1 took 84060ms
Step 2 took 30184ms
********** Factor found in step 2: 44428969293802051695168001620505578816794551
Found probable prime factor of 44 digits: 44428969293802051695168001620505578816794551

1415414007780449654178778767133246178602295470658120130799112677987270104059785781699173870645664142385484018187876678641585672103600573939358759<145>

218032637205771647205120522479346906412521609221267379362015593124909<69>
6491752913324765062375968350885409859543683466536631703644392586062132527651<76>

PID27669 2020-03-31 08:16:48,673 Debug:root: Root parameter dictionary:
N = 1415414007780449654178778767133246178602295470658120130799112677987270104059785781699173870645664142385484018187876678641585672103600573939358759
name = 46667_233
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.07
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID27669 2020-03-31 08:42:02,571 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 1415414007780449654178778767133246178602295470658120130799112677987270104059785781699173870645664142385484018187876678641585672103600573939358759
skew: 121750.326
c0: 9738979918717538262642455992532
c1: 1816595150270931851029982139
c2: -15447092154269455451944
c3: -237083748017504151
c4: 217253770304
c5: 2678400
Y0: -6099603241488176639812153524
Y1: 109599821422089391481
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.978e-06
PID27669 2020-03-31 13:10:30,073 Info:Square Root: Factors: 218032637205771647205120522479346906412521609221267379362015593124909 6491752913324765062375968350885409859543683466536631703644392586062132527651
PID27669 2020-03-31 13:10:30,073 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID27669 2020-03-31 13:10:30,073 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID27669 2020-03-31 13:10:30,073 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID27669 2020-03-31 13:10:30,074 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146869/43.010/52.487/58.930/1.218
PID27669 2020-03-31 13:10:30,074 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121898/42.140/46.393/52.910/0.976
PID27669 2020-03-31 13:10:30,074 Info:Polynomial Selection (size optimized): Total time: 62025.4
PID27669 2020-03-31 13:10:30,074 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID27669 2020-03-31 13:10:30,074 Info:Polynomial Selection (root optimized): Total time: 2020.68
PID27669 2020-03-31 13:10:30,074 Info:Polynomial Selection (root optimized): Rootsieve time: 2019.1
PID27669 2020-03-31 13:10:30,075 Info:Generate Factor Base: Total cpu/real time for makefb: 14.44/2.73301
PID27669 2020-03-31 13:10:30,075 Info:Generate Free Relations: Total cpu/real time for freerel: 1344.38/227.046
PID27669 2020-03-31 13:10:30,075 Info:Lattice Sieving: Aggregate statistics:
PID27669 2020-03-31 13:10:30,075 Info:Lattice Sieving: Total number of relations: 96444467
PID27669 2020-03-31 13:10:30,075 Info:Lattice Sieving: Average J: 7719.12 for 505779 special-q, max bucket fill -bkmult 1.0,1s:1.087840
PID27669 2020-03-31 13:10:30,075 Info:Lattice Sieving: Total time: 468234s
PID27669 2020-03-31 13:10:30,076 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 278.17/262.728
PID27669 2020-03-31 13:10:30,076 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID27669 2020-03-31 13:10:30,076 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 262.0s
PID27669 2020-03-31 13:10:30,076 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1076.57/435.643
PID27669 2020-03-31 13:10:30,076 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID27669 2020-03-31 13:10:30,076 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 338.1s
PID27669 2020-03-31 13:10:30,077 Info:Filtering - Singleton removal: Total cpu/real time for purge: 452.5/228.637
PID27669 2020-03-31 13:10:30,077 Info:Filtering - Merging: Total cpu/real time for merge: 144.49/33.3038
PID27669 2020-03-31 13:10:30,077 Info:Filtering - Merging: Total cpu/real time for replay: 51.42/53.3957
PID27669 2020-03-31 13:10:30,077 Info:Linear Algebra: Total cpu/real time for bwc: 38192.7/6758.99
PID27669 2020-03-31 13:10:30,077 Info:Linear Algebra: Aggregate statistics:
PID27669 2020-03-31 13:10:30,077 Info:Linear Algebra: Krylov: WCT time 4309.64, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (65024 iterations)
PID27669 2020-03-31 13:10:30,078 Info:Linear Algebra: Lingen CPU time 252.12, WCT time 47.34
PID27669 2020-03-31 13:10:30,078 Info:Linear Algebra: Mksol: WCT time 2317.13, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31488 iterations)
PID27669 2020-03-31 13:10:30,078 Info:Quadratic Characters: Total cpu/real time for characters: 67.75/21.2257
PID27669 2020-03-31 13:10:30,078 Info:Square Root: Total cpu/real time for sqrt: 591.97/132.909
PID27669 2020-03-31 13:10:30,078 Info:HTTP server: Shutting down HTTP server
PID27669 2020-03-31 13:10:30,359 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.07265e+06/17620.8

CADO-NFS

169261644559207382513635023682473208533521916963348877291573330928472855790369616991835085578043653992268146459040682080692870556948843141750044312365423063<156>

864845128953413402872951079441<30>
195713242628814061922538689800823349228529457803256459427673897336957797513774273335287481823749339921840356733567446161143143<126>

Step 1 took 3672ms
Step 2 took 2234ms
********** Factor found in step 2: 864845128953413402872951079441
Found probable prime factor of 30 digits: 864845128953413402872951079441
Probable prime cofactor 195713242628814061922538689800823349228529457803256459427673897336957797513774273335287481823749339921840356733567446161143143 has 126 digits

GMP-ECM 7.0

133628774750958825410551800771119259460754200250195401022311606882683975732147213338335058524795486524416625814959417013815675766697043852391644739986997847040131066470187868767706415518432684304124588310642851753947<216>

211239016239476647124673095935378668237511038265362468301063498111081452263264130198027916983644505222171111101968198580976261849859334923317935608312282899027434874927335883974675048083127736031633<198>

9754794361089964349287577588360689<34>

21654891781426911299362050387208194439108697426947146794298741903782710134729491532854681898056269800472134901804749254956660479384840969359903844396152617325563297<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2714642684
Step 1 took 26666ms
Step 2 took 9950ms
********** Factor found in step 2: 9754794361089964349287577588360689
Found probable prime factor of 34 digits: 9754794361089964349287577588360689

21654891781426911299362050387208194439108697426947146794298741903782710134729491532854681898056269800472134901804749254956660479384840969359903844396152617325563297<164>

1680876805886809688875037084053894790574988369<46>