36659334799706725321602346197427181230420582550156635339598746917283210024661734319802706125441578351<101>

7805333240474970433386479163342277351<37>
4696703352729105271957469089746813401400588494288776527114451001<64>

SNFS difficulty: 104 digits.
Divisors found:
 r1=7805333240474970433386479163342277351 (pp37)
 r2=4696703352729105271957469089746813401400588494288776527114451001 (pp64)
Version: Msieve v. 1.41
Total time: 0.37 hours.
Scaled time: 1.00 units (timescale=2.718).
Factorization parameters were as follows:
n: 36659334799706725321602346197427181230420582550156635339598746917283210024661734319802706125441578351
m: 50000000000000000000000000
deg: 4
c4: 88
c0: 53
skew: 0.88
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [195000, 315001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 35868 x 36095
Total sieving time: 0.35 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,104.000,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,10000
total time: 0.37 hours.

61111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<110>

2001279481780336558695312744101134869291031<43>
30536020414673275723489592051637855902564714744776865441185463166907<68>

SNFS difficulty: 111 digits.
Divisors found:
 r1=2001279481780336558695312744101134869291031 (pp43)
 r2=30536020414673275723489592051637855902564714744776865441185463166907 (pp68)
Version: Msieve v. 1.41
Total time: 0.43 hours.
Scaled time: 1.17 units (timescale=2.728).
Factorization parameters were as follows:
n: 61111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 10000000000000000000000
deg: 5
c5: 11
c0: 106
skew: 1.57
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 400001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 47091 x 47322
Total sieving time: 0.40 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.43 hours.

1480922604626245669870149709177536326917729699905447588314159170033824910432676717318422872494853248027<103>

56266204953522059398999379228885593<35>
26319930513343521868798396749101678517827230791954269804012507624339<68>

Number: 61117_110
N=1480922604626245669870149709177536326917729699905447588314159170033824910432676717318422872494853248027
  ( 103 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=56266204953522059398999379228885593 (pp35)
 r2=26319930513343521868798396749101678517827230791954269804012507624339 (pp68)
Version: Msieve-1.40
Total time: 0.78 hours.
Scaled time: 0.94 units (timescale=1.198).
Factorization parameters were as follows:
n: 1480922604626245669870149709177536326917729699905447588314159170033824910432676717318422872494853248027
m: 10000000000000000000000
deg: 5
c5: 55
c0: 53
skew: 0.99
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 405001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 55362 x 55588
Total sieving time: 0.76 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.78 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

5571256368958985423567427396399955429949048328116611460580828800356560407613375067108315353369597147516739093<109>

570070518907964516234430912852482459059<39>
9772924899942846008737812129553836846959336000821691794249026431285527<70>

SNFS difficulty: 115 digits.
Divisors found:
 r1=570070518907964516234430912852482459059 (pp39)
 r2=9772924899942846008737812129553836846959336000821691794249026431285527 (pp70)
Version: Msieve v. 1.36
Total time: 0.40 hours.
Scaled time: 1.10 units (timescale=2.718).
Factorization parameters were as follows:
n: 5571256368958985423567427396399955429949048328116611460580828800356560407613375067108315353369597147516739093
m: 50000000000000000000000
deg: 5
c5: 44
c0: 1325
skew: 1.98
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 290000)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 63814 x 64046
Total sieving time: 0.40 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,50000
total time: 0.40 hours.

11046380725959987072681732680731637625922539239490870544919588042222167311667849904759210018845587458045369<107>

3415409239210053907032628591575013137983727665864557<52>
3234277344906079783535156666366066863128489133806494717<55>

Number: 61117_113
N=11046380725959987072681732680731637625922539239490870544919588042222167311667849904759210018845587458045369
  ( 107 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=3415409239210053907032628591575013137983727665864557 (pp52)
 r2=3234277344906079783535156666366066863128489133806494717 (pp55)
Version: Msieve-1.40
Total time: 0.99 hours.
Scaled time: 1.18 units (timescale=1.198).
Factorization parameters were as follows:
n: 11046380725959987072681732680731637625922539239490870544919588042222167311667849904759210018845587458045369
m: 50000000000000000000000
deg: 5
c5: 88
c0: 265
skew: 1.25
type: snfs
lss: 1
rlim: 590000
alim: 590000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 590000/590000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [295000, 495001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69333 x 69581
Total sieving time: 0.96 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,590000,590000,25,25,45,45,2.2,2.2,50000
total time: 0.99 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2368055260541331981772641117518230248090145004742647628081803500179870429023326186569929893350083333<100>

17998416975481605047372358908971633<35>
131570196632693976742949748125889936861091146498905961587342674901<66>

Number: 61117_116
N=2368055260541331981772641117518230248090145004742647628081803500179870429023326186569929893350083333
  ( 100 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=17998416975481605047372358908971633 (pp35)
 r2=131570196632693976742949748125889936861091146498905961587342674901 (pp66)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.07 hours.
Scaled time: 0.98 units (timescale=0.473).
Factorization parameters were as follows:
name: 61117_116
n: 2368055260541331981772641117518230248090145004742647628081803500179870429023326186569929893350083333
m: 100000000000000000000000
deg: 5
c5: 550
c0: 53
skew: 0.63
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 520001)
Primes: RFBsize:52074, AFBsize:52142, largePrimes:1221081 encountered
Relations: rels:1173572, finalFF:126322
Max relations in full relation-set: 28
Initial matrix: 104283 x 126322 with sparse part having weight 5808007.
Pruned matrix : 93513 x 94098 with weight 3332777.
Total sieving time: 1.93 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 2.07 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

27607980831663979583355016734159768783013700914780195183979590633553478110498617963490229246000051941103469<107>

22563214542059659537989039551101003220252654467441801<53>
1223583668904998755960382454300969162560941781733059269<55>

Number: 61117_119
N=27607980831663979583355016734159768783013700914780195183979590633553478110498617963490229246000051941103469
  ( 107 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=22563214542059659537989039551101003220252654467441801 (pp53)
 r2=1223583668904998755960382454300969162560941781733059269 (pp55)
Version: Msieve-1.40
Total time: 1.33 hours.
Scaled time: 1.60 units (timescale=1.203).
Factorization parameters were as follows:
n: 27607980831663979583355016734159768783013700914780195183979590633553478110498617963490229246000051941103469
m: 1000000000000000000000000
deg: 5
c5: 11
c0: 106
skew: 1.57
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 615001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73911 x 74139
Total sieving time: 1.29 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.33 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

72759993408925535493330467370978862283625781683526187157727925722177408230466738121226784120998167<98>

680042510639859177559807028099<30>
106993301551788122124887302268157248361593191920096227220300069639133<69>

Thu May 07 15:09:38 2009  Msieve v. 1.41
Thu May 07 15:09:38 2009  random seeds: 88acf240 678bbede
Thu May 07 15:09:38 2009  factoring 72759993408925535493330467370978862283625781683526187157727925722177408230466738121226784120998167 (98 digits)
Thu May 07 15:09:39 2009  searching for 15-digit factors
Thu May 07 15:09:41 2009  commencing quadratic sieve (98-digit input)
Thu May 07 15:09:41 2009  using multiplier of 3
Thu May 07 15:09:41 2009  using 32kb Intel Core sieve core
Thu May 07 15:09:41 2009  sieve interval: 36 blocks of size 32768
Thu May 07 15:09:41 2009  processing polynomials in batches of 6
Thu May 07 15:09:41 2009  using a sieve bound of 2537681 (92941 primes)
Thu May 07 15:09:41 2009  using large prime bound of 380652150 (28 bits)
Thu May 07 15:09:41 2009  using double large prime bound of 2785806185644350 (43-52 bits)
Thu May 07 15:09:41 2009  using trial factoring cutoff of 52 bits
Thu May 07 15:09:41 2009  polynomial 'A' values have 13 factors
Thu May 07 23:39:27 2009  93118 relations (21874 full + 71244 combined from 1408120 partial), need 93037
Thu May 07 23:39:29 2009  begin with 1429994 relations
Thu May 07 23:39:31 2009  reduce to 246943 relations in 12 passes
Thu May 07 23:39:31 2009  attempting to read 246943 relations
Thu May 07 23:39:35 2009  recovered 246943 relations
Thu May 07 23:39:35 2009  recovered 236821 polynomials
Thu May 07 23:39:35 2009  attempting to build 93118 cycles
Thu May 07 23:39:35 2009  found 93118 cycles in 6 passes
Thu May 07 23:39:35 2009  distribution of cycle lengths:
Thu May 07 23:39:35 2009     length 1 : 21874
Thu May 07 23:39:35 2009     length 2 : 15710
Thu May 07 23:39:35 2009     length 3 : 15751
Thu May 07 23:39:35 2009     length 4 : 12687
Thu May 07 23:39:35 2009     length 5 : 9741
Thu May 07 23:39:35 2009     length 6 : 6695
Thu May 07 23:39:35 2009     length 7 : 4566
Thu May 07 23:39:35 2009     length 9+: 6094
Thu May 07 23:39:35 2009  largest cycle: 20 relations
Thu May 07 23:39:36 2009  matrix is 92941 x 93118 (25.5 MB) with weight 6322870 (67.90/col)
Thu May 07 23:39:36 2009  sparse part has weight 6322870 (67.90/col)
Thu May 07 23:39:37 2009  filtering completed in 3 passes
Thu May 07 23:39:37 2009  matrix is 89226 x 89290 (24.6 MB) with weight 6097753 (68.29/col)
Thu May 07 23:39:37 2009  sparse part has weight 6097753 (68.29/col)
Thu May 07 23:39:37 2009  saving the first 48 matrix rows for later
Thu May 07 23:39:37 2009  matrix is 89178 x 89290 (15.2 MB) with weight 4825176 (54.04/col)
Thu May 07 23:39:37 2009  sparse part has weight 3447920 (38.61/col)
Thu May 07 23:39:37 2009  matrix includes 64 packed rows
Thu May 07 23:39:38 2009  using block size 35716 for processor cache size 1024 kB
Thu May 07 23:39:38 2009  commencing Lanczos iteration
Thu May 07 23:39:38 2009  memory use: 14.8 MB
Thu May 07 23:40:33 2009  lanczos halted after 1411 iterations (dim = 89178)
Thu May 07 23:40:33 2009  recovered 18 nontrivial dependencies
Thu May 07 23:40:34 2009  prp30 factor: 680042510639859177559807028099
Thu May 07 23:40:34 2009  prp69 factor: 106993301551788122124887302268157248361593191920096227220300069639133
Thu May 07 23:40:34 2009  elapsed time 08:30:56

38499310862335564193400938123207594584056945380677685869422937329421803349720040011283798020015441723593147682656480449<119>

1835681480017495887981204792297553833979<40>
20972762040377847630780707795788880682323092070234749979411237951180413489474931<80>

Number: 61117_123
N=38499310862335564193400938123207594584056945380677685869422937329421803349720040011283798020015441723593147682656480449
  ( 119 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=1835681480017495887981204792297553833979 (pp40)
 r2=20972762040377847630780707795788880682323092070234749979411237951180413489474931 (pp80)
Version: Msieve v. 1.41
Total time: 6.79 hours.
Scaled time: 5.28 units (timescale=0.777).
Factorization parameters were as follows:
n: 38499310862335564193400938123207594584056945380677685869422937329421803349720040011283798020015441723593147682656480449
m: 5000000000000000000000000
deg: 5
c5: 88
c0: 265
skew: 1.25
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, 780001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 119980 x 120217
Total sieving time: 6.64 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,50000
total time: 6.79 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

48329774171405986815321018316878810152935031620027159601848905049522978483972385330636248212494933983<101>

49438205682481110643925421520349<32>
977579455083906759296235116370906001403373620855265425236407586719467<69>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=951753314
Step 1 took 7056ms
Step 2 took 7421ms
********** Factor found in step 2: 49438205682481110643925421520349
Found probable prime factor of 32 digits: 49438205682481110643925421520349
Probable prime cofactor has 69 digits

GMP-ECM 6.2.3

4412067483562898136417947180989349016200511211292870274945580118260308530454298344442350244203342661239181<106>

28387544830117222306493512799<29>
155422651376388126156321417359485103331166545348719964250814055488446526704019<78>

Number: 61117_128
N=4412067483562898136417947180989349016200511211292870274945580118260308530454298344442350244203342661239181
  ( 106 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=28387544830117222306493512799 (pp29)
 r2=155422651376388126156321417359485103331166545348719964250814055488446526704019 (pp78)
Version: Msieve-1.40
Total time: 2.97 hours.
Scaled time: 3.57 units (timescale=1.200).
Factorization parameters were as follows:
n: 4412067483562898136417947180989349016200511211292870274945580118260308530454298344442350244203342661239181
m: 50000000000000000000000000
deg: 5
c5: 88
c0: 265
skew: 1.25
type: snfs
lss: 1
rlim: 1040000
alim: 1040000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1040000/1040000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [520000, 1020001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153557 x 153791
Total sieving time: 2.86 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1040000,1040000,26,26,47,47,2.3,2.3,50000
total time: 2.97 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

101000184498715458216033484984919119474059656317034752219990764224088721060222146196857219028684853696895193<108>

945452696870843572549900286629024050147201761<45>
106827327092084961430164948683844062392323374336348354303704313<63>

Number: 61117_134
N=101000184498715458216033484984919119474059656317034752219990764224088721060222146196857219028684853696895193
  ( 108 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=945452696870843572549900286629024050147201761 (pp45)
 r2=106827327092084961430164948683844062392323374336348354303704313 (pp63)
Version: Msieve v. 1.41
Total time: 4.41 hours.
Scaled time: 4.17 units (timescale=0.946).
Factorization parameters were as follows:
n: 101000184498715458216033484984919119474059656317034752219990764224088721060222146196857219028684853696895193
m: 1000000000000000000000000000
deg: 5
c5: 11
c0: 106
skew: 1.57
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1175001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 192081 x 192316
Total sieving time: 4.22 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 4.41 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

37512928177321042052137087899746731284548448675174485642387833241165805143299523703911054704964909<98>

626966962998021396827054558842257997237883<42>
59832384146594063198278007871246052814557417692463599223<56>

Thu May 07 23:48:15 2009  Msieve v. 1.41
Thu May 07 23:48:15 2009  random seeds: 3841bec4 032f2dc8
Thu May 07 23:48:15 2009  factoring 37512928177321042052137087899746731284548448675174485642387833241165805143299523703911054704964909 (98 digits)
Thu May 07 23:48:17 2009  searching for 15-digit factors
Thu May 07 23:48:18 2009  commencing quadratic sieve (98-digit input)

Thu May 07 23:48:18 2009  using multiplier of 29
Thu May 07 23:48:18 2009  using 32kb Intel Core sieve core
Thu May 07 23:48:18 2009  sieve interval: 36 blocks of size 32768
Thu May 07 23:48:18 2009  processing polynomials in batches of 6
Thu May 07 23:48:18 2009  using a sieve bound of 2503477 (91765 primes)
Thu May 07 23:48:18 2009  using large prime bound of 375521550 (28 bits)
Thu May 07 23:48:18 2009  using double large prime bound of 2718583754966400 (43-52 bits)
Thu May 07 23:48:18 2009  using trial factoring cutoff of 52 bits
Thu May 07 23:48:18 2009  polynomial 'A' values have 13 factors
Fri May 08 07:31:56 2009  92187 relations (22218 full + 69969 combined from 1379844 partial), need 91861
Fri May 08 07:31:58 2009  begin with 1402062 relations
Fri May 08 07:31:59 2009  reduce to 241624 relations in 10 passes
Fri May 08 07:31:59 2009  attempting to read 241624 relations
Fri May 08 07:32:03 2009  recovered 241624 relations
Fri May 08 07:32:03 2009  recovered 230814 polynomials
Fri May 08 07:32:04 2009  attempting to build 92187 cycles
Fri May 08 07:32:04 2009  found 92187 cycles in 5 passes
Fri May 08 07:32:04 2009  distribution of cycle lengths:
Fri May 08 07:32:04 2009     length 1 : 22218
Fri May 08 07:32:04 2009     length 2 : 16175
Fri May 08 07:32:04 2009     length 3 : 15495
Fri May 08 07:32:04 2009     length 4 : 12495
Fri May 08 07:32:04 2009     length 5 : 9228
Fri May 08 07:32:04 2009     length 6 : 6453
Fri May 08 07:32:04 2009     length 7 : 4259
Fri May 08 07:32:04 2009     length 9+: 5864
Fri May 08 07:32:04 2009  largest cycle: 21 relations
Fri May 08 07:32:04 2009  matrix is 91765 x 92187 (25.0 MB) with weight 6174509 (66.98/col)
Fri May 08 07:32:04 2009  sparse part has weight 6174509 (66.98/col)
Fri May 08 07:32:06 2009  filtering completed in 3 passes
Fri May 08 07:32:06 2009  matrix is 87829 x 87893 (23.9 MB) with weight 5903463 (67.17/col)
Fri May 08 07:32:06 2009  sparse part has weight 5903463 (67.17/col)
Fri May 08 07:32:06 2009  saving the first 48 matrix rows for later
Fri May 08 07:32:06 2009  matrix is 87781 x 87893 (14.6 MB) with weight 4663415 (53.06/col)
Fri May 08 07:32:06 2009  sparse part has weight 3295555 (37.50/col)
Fri May 08 07:32:06 2009  matrix includes 64 packed rows
Fri May 08 07:32:06 2009  using block size 35157 for processor cache size 1024 kB
Fri May 08 07:32:07 2009  commencing Lanczos iteration
Fri May 08 07:32:07 2009  memory use: 14.3 MB
Fri May 08 07:33:25 2009  lanczos halted after 1390 iterations (dim = 87779)
Fri May 08 07:33:26 2009  recovered 16 nontrivial dependencies
Fri May 08 07:33:26 2009  prp42 factor: 626966962998021396827054558842257997237883
Fri May 08 07:33:26 2009  prp56 factor: 59832384146594063198278007871246052814557417692463599223
Fri May 08 07:33:26 2009  elapsed time 07:45:11

61111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117<140>

55222676755743811812143735433434316389037947984568052041039337458107<68>
1106630730368477338439401197886469885070910057830214075394122282080081431<73>

Number: 61117_139
N=61111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
  ( 140 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=55222676755743811812143735433434316389037947984568052041039337458107 (pp68)
 r2=1106630730368477338439401197886469885070910057830214075394122282080081431 (pp73)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 11.75 hours.
Scaled time: 5.56 units (timescale=0.473).
Factorization parameters were as follows:
name: 61117_139
n: 61111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111117
m: 10000000000000000000000000000
deg: 5
c5: 11
c0: 106
skew: 1.57
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1685001)
Primes: RFBsize:119057, AFBsize:119101, largePrimes:3673934 encountered
Relations: rels:3742209, finalFF:354161
Max relations in full relation-set: 28
Initial matrix: 238223 x 354161 with sparse part having weight 31935230.
Pruned matrix : 203926 x 205181 with weight 15076212.
Total sieving time: 10.62 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.90 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 11.75 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

2037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037039<148>

1934253706957006579243393144221742149992149<43>
1140583220880797403978091503281085123359628851<46>
923333322179040387392850591047434036029068313871256542661761<60>

Number: 61117_147
N=2037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037039
  ( 148 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1934253706957006579243393144221742149992149 (pp43)
 r2=1140583220880797403978091503281085123359628851 (pp46)
 r3=923333322179040387392850591047434036029068313871256542661761 (pp60)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 29.48 hours.
Scaled time: 13.94 units (timescale=0.473).
Factorization parameters were as follows:
name: 61117_147
n: 2037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037039
m: 500000000000000000000000000000
deg: 5
c5: 44
c0: 1325
skew: 1.98
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, 1800001)
Primes: RFBsize:162662, AFBsize:162806, largePrimes:6688861 encountered
Relations: rels:6491098, finalFF:368269
Max relations in full relation-set: 28
Initial matrix: 325535 x 368269 with sparse part having weight 35663558.
Pruned matrix : 306604 x 308295 with weight 26923864.
Total sieving time: 25.88 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 3.21 hours.
Time per square root: 0.12 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: 29.48 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

278157082890810701461589035553532594952713295908562180751529863955899458858038739695544429272239923127497091994133414251757447023719213068325494361<147>

9098865678589426948210548308231663<34>
30570523042816547814440813700618361961725138008742239062105098207703222902446606516081094383000429754808066107447<113>

Number: 61117_149
N=278157082890810701461589035553532594952713295908562180751529863955899458858038739695544429272239923127497091994133414251757447023719213068325494361
  ( 147 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=9098865678589426948210548308231663 (pp34)
 r2=30570523042816547814440813700618361961725138008742239062105098207703222902446606516081094383000429754808066107447 (pp113)
Version: Msieve v. 1.41
Total time: 28.51 hours.
Scaled time: 22.52 units (timescale=0.790).
Factorization parameters were as follows:
n: 278157082890810701461589035553532594952713295908562180751529863955899458858038739695544429272239923127497091994133414251757447023719213068325494361
m: 1000000000000000000000000000000
deg: 5
c5: 11
c0: 106
skew: 1.57
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 349166 x 349414
Total sieving time: 27.59 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 28.51 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

139486452208136198228535102355156871796087194235955116983831305936858728587122893524901274783831730324992445526989165162831773471883<132>

90377613606019928854624782853071442817<38>
1543373924611406170236513127510391203460553114247136700047193975005970719034929975233597849099<94>

[05/09 03:44:07] GGNFS-0.77.1-VC8(Sat 01/17/2009) : makefb
[05/09 03:44:08] name: 
[05/09 03:44:08] n=139486452208136198228535102355156871796087194235955116983831305936858728587122893524901274783831730324992445526989165162831773471883 (132 digits)
[05/09 03:44:08] c0: 53
[05/09 03:44:08] c1: 0
[05/09 03:44:08] c2: 0
[05/09 03:44:08] c3: 0
[05/09 03:44:08] c4: 0
[05/09 03:44:08] c5: 55
[05/09 03:44:08] RFBsize: 176302 (upto 2399993)
[05/09 03:44:08] AFBsize: 175779 (upto 2399993)
[05/09 03:44:08] maxNumLargeRatPrimes: 3
[05/09 03:44:08] maxLargeRatPrime: 134217728
[05/09 03:44:08] maxNumLargeAlgPrimes: 3
[05/09 03:44:08] maxLargeAlgPrime: 134217728
[05/09 03:45:18] GGNFS-0.77.1-VC8(Sat 01/17/2009) : procrels
[05/09 03:53:30] There were 1093778/8178163 duplicates.
[05/09 03:53:31] RelProcTime: 486.6
[05/09 03:54:06] largePrimes: 7039805 , relations: 7084385
[05/09 03:55:56] GGNFS-0.77.1-VC8(Sat 01/17/2009) : matbuild
[05/09 03:58:53] largePrimes: 7039805 , relations: 7084385
[05/09 04:12:40] reduceRelSets dropped relation-set weight from 14596713 to 11211708.
[05/09 04:19:45] reduceRelSets dropped relation-set weight from 11211708 to 11098389.
[05/09 04:19:45] After removing heavy rel-sets, weight is 9758161.
[05/09 04:28:56] Heap stats for matbuild run.
[05/09 04:28:56] Max heap usage: 0 MB
[05/09 04:28:56] malloc/realloc errors: 0 
[05/09 04:28:56] total malloc's : 598 
[05/09 04:28:56] total realloc's: 318 
[05/09 04:28:56] rels:7084385, initialFF:0, finalFF:508034
[05/09 04:28:56] depinf file written. Run matprune.
[05/09 04:39:15] GGNFS-0.77.1-VC8(Sat 01/17/2009) : matprune
[05/09 04:39:19] Pruning matrix with wt=0.700
[05/09 04:39:19] Initial matrix is 352147 x 508032 with sparse part having weight 83261174.
[05/09 04:39:19] (total weight is 128934569)
[05/09 04:44:09] Matrix pruned to 331118 x 332942 with weight 39049575.
[05/09 04:44:11] Matrix is pruned. Run matsolve.
[05/09 04:44:11] Heap stats for matprune run:
[05/09 04:44:11] Max heap usage: 0 MB
[05/09 04:44:11] malloc/realloc errors: 0 
[05/09 04:44:11] total malloc's : 18 
[05/09 04:44:11] total realloc's: 0 
[05/09 04:44:24] GGNFS-0.77.1-VC8(Sat 01/17/2009) : matsolve (seed=1373339240)
[05/09 05:38:46] BLanczosTime: 3262.1
[05/09 05:38:46] Heap stats for matsolve run:
[05/09 05:38:46] Max heap usage: 0 MB
[05/09 05:38:46] malloc/realloc errors: 0 
[05/09 05:38:46] total malloc's : 16 
[05/09 05:38:46] total realloc's: 0 
[05/09 05:42:19] GGNFS-0.77.1-VC8(Sat 01/17/2009) : sqrt
[05/09 05:42:19] bmultiplier=1
[05/09 05:51:08] From dependence 0, sqrt obtained:
[05/09 05:51:08]   r1=90377613606019928854624782853071442817 (pp38)
[05/09 05:51:08]   r2=1543373924611406170236513127510391203460553114247136700047193975005970719034929975233597849099 (pp94)
[05/09 05:51:08] (pp=probable prime, c=composite)
[05/09 05:51:08] sqrtTime: 529.1

All things done by GGNFS

287046900452296523635214596698421367210854311194270084376888166052944430800517935676949223976641000358837008264491447433837664667271<132>

7068361314994357655785488053712469413994760160307524653<55>
40610105745920779918481121272161456452030286435210027784502911521712533819907<77>

Number: n
N=287046900452296523635214596698421367210854311194270084376888166052944430800517935676949223976641000358837008264491447433837664667271
  ( 132 digits)
SNFS difficulty: 155 digits.
Divisors found:

Mon May 11 14:21:24 2009  prp55 factor: 7068361314994357655785488053712469413994760160307524653
Mon May 11 14:21:24 2009  prp77 factor: 40610105745920779918481121272161456452030286435210027784502911521712533819907
Mon May 11 14:21:24 2009  elapsed time 00:25:14 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 14.91 hours.
Scaled time: 38.08 units (timescale=2.554).
Factorization parameters were as follows:
name: KA_6_1_151_7
n: 287046900452296523635214596698421367210854311194270084376888166052944430800517935676949223976641000358837008264491447433837664667271
m: 5000000000000000000000000000000
deg: 5
c5: 44
c0: 1325
skew: 1.98
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1350000, 2250257)
Primes: RFBsize:196645, AFBsize:196816, largePrimes:11996756 encountered
Relations: rels:11284515, finalFF:436714
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 914717 hash collisions in 12009197 relations
Msieve: matrix is 430294 x 430542 (115.0 MB)

Total sieving time: 14.70 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2700000,2700000,28,28,56,56,2.4,2.4,100000
total time: 14.91 hours.
 --------- CPU info (if available) ----------

3407573899934668020619771206672862792568146534282880109137450143289303958145920235977066012463975368877788939109996770804831361<127>

7278517545065402090054562438600913836277499509<46>
468168672925009595606107004497002477134020078039196140371123604319737203741838429<81>

Number: 61117_154
N=3407573899934668020619771206672862792568146534282880109137450143289303958145920235977066012463975368877788939109996770804831361
  ( 127 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=7278517545065402090054562438600913836277499509 (pp46)
 r2=468168672925009595606107004497002477134020078039196140371123604319737203741838429 (pp81)
Version: Msieve-1.40
Total time: 16.01 hours.
Scaled time: 27.84 units (timescale=1.739).
Factorization parameters were as follows:
n: 3407573899934668020619771206672862792568146534282880109137450143289303958145920235977066012463975368877788939109996770804831361
m: 10000000000000000000000000000000
deg: 5
c5: 11
c0: 106
skew: 1.57
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 513580 x 513828
Total sieving time: 15.52 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 16.01 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

8747515926152942519546407836004408792559589434353922398149240659872076613378278769963181244234164340507350866062207908614198534928815983783008852739<148>

4574519951664141163904776330845147834730931008411393678889<58>
1912225986241622695547172120836614414703594235215141036385313882156078530401611682475064651<91>

Number: n
N=8747515926152942519546407836004408792559589434353922398149240659872076613378278769963181244234164340507350866062207908614198534928815983783008852739
  ( 148 digits)
SNFS difficulty: 156 digits.
Divisors found:

Sun May 10 17:40:49 2009  prp58 factor: 4574519951664141163904776330845147834730931008411393678889
Sun May 10 17:40:49 2009  prp91 factor: 1912225986241622695547172120836614414703594235215141036385313882156078530401611682475064651
Sun May 10 17:40:49 2009  elapsed time 00:41:16 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 18.85 hours.
Scaled time: 50.14 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_1_154_7
n: 8747515926152942519546407836004408792559589434353922398149240659872076613378278769963181244234164340507350866062207908614198534928815983783008852739
m: 10000000000000000000000000000000
deg: 5
c5: 55
c0: 53
skew: 0.99
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1450000, 2565383)
Primes: RFBsize:210109, AFBsize:209530, largePrimes:12305001 encountered
Relations: rels:11297272, finalFF:410773
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1007232 hash collisions in 12272639 relations
Msieve: matrix is 549105 x 549353 (147.2 MB)

Total sieving time: 18.59 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,28,28,56,56,2.4,2.4,100000
total time: 18.85 hours.
 --------- CPU info (if available) ----------

75535535054261730613087714059859628973467293268687873854848630218608420957271895055902762387784703651195858028690178083649<122>

4836686945562780478646372773363953343<37>
15617205724583581065383112857335668159768622684480608510969886639257988319179734009343<86>

Using B1=3000000, B2=5706890290 , polynomial Dickson(6) , sigma=4078726757
********** Factor found in step 2: 4836686945562780478646372773363953343
Found probable prime factor of 37 digits: 4836686945562780478646372773363953343
Probable prime cofactor 15617205724583581065383112857335668159768622684480608510969886639257988319179734009343 has 86 digits

GMP-ECM 6.2.3

Intel Core 2 Duo T8100
Windows Vista 32 bit

417638255558508713627723912352227521132881097469078988057677364814564851991010690402606900421091516458151313767659912418053384947164739954461043537659<150>

13817558341465076358377329712261<32>
30225184887059178490293947945272519104526393199396084242282172451085350402214128357155116143842990858452098996661902719<119>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 417638255558508713627723912352227521132881097469078988057677364814564851991010690402606900421091516458151313767659912418053384947164739954461043537659 (150 digits)
Using B1=918000, B2=871204962, polynomial Dickson(3), sigma=3934766055
Step 1 took 14071ms
Step 2 took 4945ms
********** Factor found in step 2: 13817558341465076358377329712261
Found probable prime factor of 32 digits: 13817558341465076358377329712261
Probable prime cofactor 30225184887059178490293947945272519104526393199396084242282172451085350402214128357155116143842990858452098996661902719 has 119 digits

7461905257642570205274359759519501514193898474760211147148201732868313154587524623931779179230011032717598088072376762527591935829590195347<139>

17845553710717112864759785999618398828238960930529700031<56>
418138062769178038646403383540644184918563093786817713598293397086549042213175848237<84>

Number: n
N=7461905257642570205274359759519501514193898474760211147148201732868313154587524623931779179230011032717598088072376762527591935829590195347
  ( 139 digits)
SNFS difficulty: 160 digits.
Divisors found:

Mon May 11 01:35:01 2009  prp56 factor: 17845553710717112864759785999618398828238960930529700031
Mon May 11 01:35:01 2009  prp84 factor: 418138062769178038646403383540644184918563093786817713598293397086549042213175848237
Mon May 11 01:35:01 2009  elapsed time 00:43:35 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 26.47 hours.
Scaled time: 68.98 units (timescale=2.606).
Factorization parameters were as follows:
name: KA_6_1_157_7
n: 7461905257642570205274359759519501514193898474760211147148201732868313154587524623931779179230011032717598088072376762527591935829590195347
m: 50000000000000000000000000000000
deg: 5
c5: 88
c0: 265
skew: 1.25
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1650000, 3231931)
Primes: RFBsize:236900, AFBsize:236768, largePrimes:13344150 encountered
Relations: rels:12314752, finalFF:423174
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1315446 hash collisions in 14066940 relations
Msieve: matrix is 609139 x 609387 (163.0 MB)

Total sieving time: 26.17 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,28,28,56,56,2.4,2.4,100000
total time: 26.47 hours.
 --------- CPU info (if available) ----------

89191850333795838431224741678938543992837614421268237563958056735200519236760235158865591431645163<98>

177339214346923928023382818463973318947220121<45>
502944882564508401354967688113709310226342169790528803<54>

Fri May 08 08:00:46 2009  Msieve v. 1.41
Fri May 08 08:00:46 2009  random seeds: c6c87428 b8cc5b0b
Fri May 08 08:00:46 2009  factoring 89191850333795838431224741678938543992837614421268237563958056735200519236760235158865591431645163 (98 digits)
Fri May 08 08:00:48 2009  searching for 15-digit factors
Fri May 08 08:00:49 2009  commencing quadratic sieve (98-digit input)
Fri May 08 08:00:50 2009  using multiplier of 2
Fri May 08 08:00:50 2009  using 32kb Intel Core sieve core
Fri May 08 08:00:50 2009  sieve interval: 36 blocks of size 32768
Fri May 08 08:00:50 2009  processing polynomials in batches of 6
Fri May 08 08:00:50 2009  using a sieve bound of 2534047 (92941 primes)
Fri May 08 08:00:50 2009  using large prime bound of 380107050 (28 bits)
Fri May 08 08:00:50 2009  using double large prime bound of 2778629288667150 (43-52 bits)
Fri May 08 08:00:50 2009  using trial factoring cutoff of 52 bits
Fri May 08 08:00:50 2009  polynomial 'A' values have 13 factors
Fri May 08 15:14:00 2009  93166 relations (22156 full + 71010 combined from 1397542 partial), need 93037
Fri May 08 15:14:01 2009  begin with 1419698 relations
Fri May 08 15:14:03 2009  reduce to 244999 relations in 12 passes
Fri May 08 15:14:03 2009  attempting to read 244999 relations
Fri May 08 15:14:07 2009  recovered 244999 relations
Fri May 08 15:14:07 2009  recovered 233319 polynomials
Fri May 08 15:14:07 2009  attempting to build 93166 cycles
Fri May 08 15:14:07 2009  found 93166 cycles in 5 passes
Fri May 08 15:14:07 2009  distribution of cycle lengths:
Fri May 08 15:14:07 2009     length 1 : 22156
Fri May 08 15:14:07 2009     length 2 : 15953
Fri May 08 15:14:07 2009     length 3 : 15490
Fri May 08 15:14:07 2009     length 4 : 12846
Fri May 08 15:14:07 2009     length 5 : 9851
Fri May 08 15:14:07 2009     length 6 : 6586
Fri May 08 15:14:07 2009     length 7 : 4342
Fri May 08 15:14:07 2009     length 9+: 5942
Fri May 08 15:14:07 2009  largest cycle: 21 relations
Fri May 08 15:14:08 2009  matrix is 92941 x 93166 (25.1 MB) with weight 6214628 (66.70/col)
Fri May 08 15:14:08 2009  sparse part has weight 6214628 (66.70/col)
Fri May 08 15:14:10 2009  filtering completed in 3 passes
Fri May 08 15:14:10 2009  matrix is 89101 x 89165 (24.2 MB) with weight 5980570 (67.07/col)
Fri May 08 15:14:10 2009  sparse part has weight 5980570 (67.07/col)
Fri May 08 15:14:10 2009  saving the first 48 matrix rows for later
Fri May 08 15:14:10 2009  matrix is 89053 x 89165 (14.4 MB) with weight 4603797 (51.63/col)
Fri May 08 15:14:10 2009  sparse part has weight 3252535 (36.48/col)
Fri May 08 15:14:10 2009  matrix includes 64 packed rows
Fri May 08 15:14:10 2009  using block size 35666 for processor cache size 1024 kB
Fri May 08 15:14:10 2009  commencing Lanczos iteration
Fri May 08 15:14:10 2009  memory use: 14.3 MB
Fri May 08 15:15:05 2009  lanczos halted after 1410 iterations (dim = 89052)
Fri May 08 15:15:06 2009  recovered 17 nontrivial dependencies
Fri May 08 15:15:06 2009  prp45 factor: 177339214346923928023382818463973318947220121
Fri May 08 15:15:06 2009  prp54 factor: 502944882564508401354967688113709310226342169790528803
Fri May 08 15:15:06 2009  elapsed time 07:14:20

4288709698800019026275754676448043841529837333139951514187441566330353849740766992842533395402659155966335968160619196108658748928797282049722520482487638769<157>

76625767327269088745587943<26>

55969549779291807578331999389155335060385717795888554665336739968324394289490377698401886225152663948359880548781879323856843476583<131>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=544097540
Step 1 took 8980ms
Step 2 took 7861ms
********** Factor found in step 2: 76625767327269088745587943
Found probable prime factor of 26 digits: 76625767327269088745587943
Composite cofactor has 131 digits

GMP-ECM 6.2.3

55969549779291807578331999389155335060385717795888554665336739968324394289490377698401886225152663948359880548781879323856843476583<131>

25937588457776918008836386172560311496435019969223053253357<59>
2157854800973617411073781544796855937311836707863709108700798479647760419<73>

Number: n
N=55969549779291807578331999389155335060385717795888554665336739968324394289490377698401886225152663948359880548781879323856843476583
  ( 131 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=25937588457776918008836386172560311496435019969223053253357 (pp59)
 r2=2157854800973617411073781544796855937311836707863709108700798479647760419 (pp73)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 30.09 hours.
Scaled time: 79.41 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_6_1_160_7
n: 55969549779291807578331999389155335060385717795888554665336739968324394289490377698401886225152663948359880548781879323856843476583
m: 100000000000000000000000000000000
deg: 5
c5: 550
c0: 53
skew: 0.63
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [1800000, 3500001)
Primes: RFBsize:256726, AFBsize:256777, largePrimes:14804714 encountered
Relations: rels:14493415, finalFF:613981
Max relations in full relation-set: 28
Initial matrix: 513570 x 613981 with sparse part having weight 68840197.
Pruned matrix : 472743 x 475374 with weight 50744989.
Total sieving time: 27.82 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 1.59 hours.
Total square root time: 0.20 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,28,28,56,56,2.4,2.4,100000
total time: 30.09 hours.
 --------- CPU info (if available) ----------

28941308669755240703099761874611761902648796448592435335238186323844236163242374178690923009820090062849191275519712456825298767899<131>

4997494605967408149532708505482310328253201826819<49>
5791163563277687995964939570082543825557369323515164525575236980824238068315661321<82>

Number: n
N=28941308669755240703099761874611761902648796448592435335238186323844236163242374178690923009820090062849191275519712456825298767899
  ( 131 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=4997494605967408149532708505482310328253201826819 (pp49)
 r2=5791163563277687995964939570082543825557369323515164525575236980824238068315661321 (pp82)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 38.21 hours.
Scaled time: 101.65 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_1_163_7
n: 28941308669755240703099761874611761902648796448592435335238186323844236163242374178690923009820090062849191275519712456825298767899
m: 1000000000000000000000000000000000
deg: 5
c5: 11
c0: 106
skew: 1.57
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [2050000, 4150001)
Primes: RFBsize:289774, AFBsize:289728, largePrimes:16159564 encountered
Relations: rels:16219905, finalFF:774173
Max relations in full relation-set: 28
Initial matrix: 579567 x 774173 with sparse part having weight 90821724.
Pruned matrix : 504359 x 507320 with weight 60248084.
Total sieving time: 35.33 hours.
Total relation processing time: 0.60 hours.
Matrix solve time: 2.09 hours.
Total square root time: 0.20 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,28,28,56,56,2.4,2.4,100000
total time: 38.21 hours.
 --------- CPU info (if available) ----------

43341213553979511426319936958234830575256107171000788022064617809298660362490149724192277383766745468873128447596532702915681639085894405043341213553979511426319937<164>

434392873792766435314567746253<30>
601015833271961930438381726821925015839283136961619049463<57>
166009316724078941748218206828287356577245780644970974597600113903444595211683<78>

Number: 61117_165
N=43341213553979511426319936958234830575256107171000788022064617809298660362490149724192277383766745468873128447596532702915681639085894405043341213553979511426319937
  ( 164 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=434392873792766435314567746253 (pp30)
 r2=601015833271961930438381726821925015839283136961619049463 (pp57)
 r3=166009316724078941748218206828287356577245780644970974597600113903444595211683 (pp78)
Version: Msieve-1.40
Total time: 45.17 hours.
Scaled time: 78.55 units (timescale=1.739).
Factorization parameters were as follows:
n: 43341213553979511426319936958234830575256107171000788022064617809298660362490149724192277383766745468873128447596532702915681639085894405043341213553979511426319937
m: 1000000000000000000000000000000000
deg: 5
c5: 55
c0: 53
skew: 0.99
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 798827 x 799075
Total sieving time: 43.98 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.81 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 45.17 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

47008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547009<167>

413253709863765149819165994687158966560294819480339<51>
113752268610108864645974297516771880453518903037560549478996788182332828844323184288710023807427966999107247784733531<117>

Number: n
N=47008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547009
  ( 167 digits)
SNFS difficulty: 170 digits.
Divisors found:

Mon May 18 20:45:42 2009  prp51 factor: 413253709863765149819165994687158966560294819480339
Mon May 18 20:45:42 2009  prp117 factor: 113752268610108864645974297516771880453518903037560549478996788182332828844323184288710023807427966999107247784733531
Mon May 18 20:45:42 2009  elapsed time 01:47:01 (Msieve 1.39 - dependency 5)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 46.69 hours.
Scaled time: 123.67 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_6_1_166_7
n: 47008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547009
m: 5000000000000000000000000000000000
deg: 5
c5: 44
c0: 1325
skew: 1.98
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2400000, 5036893)
Primes: RFBsize:335439, AFBsize:335533, largePrimes:16351362 encountered
Relations: rels:15644308, finalFF:647400
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1750957 hash collisions in 17268406 relations
Msieve: matrix is 861002 x 861250 (230.9 MB)

Total sieving time: 46.06 hours.
Total relation processing time: 0.63 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,28,28,56,56,2.4,2.4,100000
total time: 46.69 hours.
 --------- CPU info (if available) ----------

1164549155203626829526840703770057776331666897044154747749189812937458891968038623377040295732783853980802775338775983249429<124>

409276563277414763663135352084046268821974277482384997407629<60>
2845384416537614405451040024545314866333284940268230907212204201<64>

Number: 61117_168
N=1164549155203626829526840703770057776331666897044154747749189812937458891968038623377040295732783853980802775338775983249429
  ( 124 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=409276563277414763663135352084046268821974277482384997407629 (pp60)
 r2=2845384416537614405451040024545314866333284940268230907212204201 (pp64)
Version: Msieve-1.40
Total time: 80.05 hours.
Scaled time: 204.46 units (timescale=2.554).
Factorization parameters were as follows:
name: 61117_168
n: 1164549155203626829526840703770057776331666897044154747749189812937458891968038623377040295732783853980802775338775983249429
m: 5000000000000000000000000000000000
deg: 5
c5: 88
c0: 265
skew: 1.25
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1020457 x 1020705
Total sieving time: 77.37 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.40 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 80.05 hours.
 --------- CPU info (if available) ----------

1671212347334596219507410428017889758975124908091594236923391998388037186811384996722745868763892908306829644401101534483453918223449576156245604289<148>

31499273936242556516634609465971955509<38>
53055583145099933520947588688085961040800233395621622150497267775458366053416556199130127742788741791063315421<110>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 1671212347334596219507410428017889758975124908091594236923391998388037186811384996722745868763892908306829644401101534483453918223449576156245604289 (148 digits)
Using B1=1798000, B2=2140281790, polynomial Dickson(6), sigma=2177163353
Step 1 took 27627ms
Step 2 took 8830ms
********** Factor found in step 2: 31499273936242556516634609465971955509
Found probable prime factor of 38 digits: 31499273936242556516634609465971955509
Probable prime cofactor 53055583145099933520947588688085961040800233395621622150497267775458366053416556199130127742788741791063315421 has 110 digits

36480440348782502181098190984609803333422429452696004192197999151018411873622928140737009346361855906541450334801422615720816739<128>

138076070934145108899829431997603725655307579<45>
264205376804078662541102594999473809307029747928977642336676775472227007205794914041<84>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 36480440348782502181098190984609803333422429452696004192197999151018411873622928140737009346361855906541450334801422615720816739 (128 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=8183252458
Step 1 took 50063ms
Step 2 took 16700ms
********** Factor found in step 2: 138076070934145108899829431997603725655307579
Found probable prime factor of 45 digits: 138076070934145108899829431997603725655307579
Probable prime cofactor 264205376804078662541102594999473809307029747928977642336676775472227007205794914041 has 84 digits

Core 2 Quad Q6700

202952778423536618216303381193288536120059483614330680187011760190997014749131915615924782010265720537714161306868291026904158317927372425728508223277576670024612636947<168>

1564288375667914117144174724299318185064610611<46>
129741281454502009424231502334110360678149501887013003964661212991492932260928953098054019152165699509735690212465942370977<123>

Number: n
N=202952778423536618216303381193288536120059483614330680187011760190997014749131915615924782010265720537714161306868291026904158317927372425728508223277576670024612636947
  ( 168 digits)
SNFS difficulty: 172 digits.
Divisors found:

Wed May 13 18:27:32 2009  prp46 factor: 1564288375667914117144174724299318185064610611
Wed May 13 18:27:32 2009  prp123 factor: 129741281454502009424231502334110360678149501887013003964661212991492932260928953098054019152165699509735690212465942370977
Wed May 13 18:27:32 2009  elapsed time 01:53:42 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 62.51 hours.
Scaled time: 166.95 units (timescale=2.671).
Factorization parameters were as follows:
name: KA_6_1_170_7
n: 202952778423536618216303381193288536120059483614330680187011760190997014749131915615924782010265720537714161306868291026904158317927372425728508223277576670024612636947
m: 10000000000000000000000000000000000
deg: 5
c5: 550
c0: 53
skew: 0.63
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2650000, 6195757)
Primes: RFBsize:367900, AFBsize:368503, largePrimes:17829043 encountered
Relations: rels:17580473, finalFF:723415
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2219364 hash collisions in 19608042 relations
Msieve: matrix is 928670 x 928918 (249.1 MB)

Total sieving time: 61.63 hours.
Total relation processing time: 0.87 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,28,28,56,56,2.4,2.4,100000
total time: 62.51 hours.
 --------- CPU info (if available) ----------

15149386725281021123753962941845636012571236548033196437966015793924269592977295200949728825977617469721884804063340963115374974865790205783760408317288755574285706415903<170>

12576082971806871968069729416319272329315487489596105277919238868516031336329<77>
1204618859405030553363698323853833563350237788260488026770597375925396803921048656034405570407<94>

Number: n
N=15149386725281021123753962941845636012571236548033196437966015793924269592977295200949728825977617469721884804063340963115374974865790205783760408317288755574285706415903
  ( 170 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sat May 16 20:13:23 2009  prp77 factor: 12576082971806871968069729416319272329315487489596105277919238868516031336329
Sat May 16 20:13:23 2009  prp94 factor: 1204618859405030553363698323853833563350237788260488026770597375925396803921048656034405570407
Sat May 16 20:13:23 2009  elapsed time 01:57:04 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 92.51 hours.
Scaled time: 246.07 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_6_1_172_7
n: 15149386725281021123753962941845636012571236548033196437966015793924269592977295200949728825977617469721884804063340963115374974865790205783760408317288755574285706415903
m: 50000000000000000000000000000000000
deg: 5
c5: 88
c0: 265
skew: 1.25
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2950000, 7750001)
Primes: RFBsize:406429, AFBsize:406189, largePrimes:21211462 encountered
Relations: rels:21323565, finalFF:723633
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2986877 hash collisions in 24112465 relations
Msieve: matrix is 1043634 x 1043882 (273.1 MB)

Total sieving time: 90.86 hours.
Total relation processing time: 1.64 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,56,56,2.5,2.5,100000
total time: 92.51 hours.
 --------- CPU info (if available) ----------

239247381950835953271002206530700096616562080644810140432213052125726596219114053223784447145607668167466463623109167801465811908369747<135>

1018475184277358975894469106660938578673647843247893386021159020959<67>
234907424004237957671415327521391929589787465511202014513689071785933<69>

N = 239247381950835953271002206530700096616562080644810140432213052125726596219114053223784447145607668167466463623109167801465811908369747 (135 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=1018475184277358975894469106660938578673647843247893386021159020959 (pp67)
r2=234907424004237957671415327521391929589787465511202014513689071785933 (pp69)
Version: Msieve v. 1.48
Total time: 31.45 hours.
Factorization parameters were as follows:
name: (55*10^174+53)/9
n: 239247381950835953271002206530700096616562080644810140432213052125726596219114053223784447145607668167466463623109167801465811908369747
Y0: 50000000000000000000000000000000000
Y1: -1
c0: 53
c1: 0
c2: 0
c3: 0
c4: 0
c5: 176
skew: 0.79
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20321243
Relations: 2296336 relations
Pruned matrix : 1307558 x 1307783
Polynomial selection time: 0.00 hours.
Total sieving time: 29.07 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.19 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 31.45 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

17864655458511700126474194728171426482285671587776001288799888953676830778759660064133484988842088606900542575344489428600749<125>

100725641761411888662678520210296743198045849<45>
177359559553143205261256366747765295087055539201647920504636641335042775774530101<81>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=980873326
Step 1 took 28226ms
Step 2 took 12291ms
********** Factor found in step 2: 100725641761411888662678520210296743198045849
Found probable prime factor of 45 digits: 100725641761411888662678520210296743198045849
Probable prime cofactor 177359559553143205261256366747765295087055539201647920504636641335042775774530101 has 81 digits

GMP-ECM 6.3

373761792225403671045007644030407494987972780788782728722228570974003307676742562817064417635787314744965135102814364244204111276406720069279920407244221672440236085913<168>

3696655326458371112750855358703882024302617071308235051<55>
101108098867170024944635431115302930236554607188969692761924105445135440221865366133462681909489118081262650642763<114>

N=373761792225403671045007644030407494987972780788782728722228570974003307676742562817064417635787314744965135102814364244204111276406720069279920407244221672440236085913
  ( 168 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=3696655326458371112750855358703882024302617071308235051 (pp55)
 r2=101108098867170024944635431115302930236554607188969692761924105445135440221865366133462681909489118081262650642763 (pp114)
Version: Msieve-1.40
Total time: 92.65 hours.
Scaled time: 165.19 units (timescale=1.783).
Factorization parameters were as follows:
n: 373761792225403671045007644030407494987972780788782728722228570974003307676742562817064417635787314744965135102814364244204111276406720069279920407244221672440236085913
m: 100000000000000000000000000000000000
deg: 5
c5: 550
c0: 53
skew: 0.63
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 360000Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 7880001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1365123 x 1365358
Total sieving time: 90.21 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.10 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 92.65 hours.
 --------- CPU info (if available) ----------

75672834690628813738884692486237863109217914374123742971025559531819051117687768380587578923326908021733238123148595305807683682047514284967385008248338981278540697538431481<173>

121267649127676182373047910614477486882780677773<48>
624015021606932925999715651797548114366055875459187905620591759468551484260290666283449260213316132801468484092282493219437597<126>

N=75672834690628813738884692486237863109217914374123742971025559531819051117687768380587578923326908021733238123148595305807683682047514284967385008248338981278540697538431481
  ( 173 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=121267649127676182373047910614477486882780677773 (pp48)
 r2=624015021606932925999715651797548114366055875459187905620591759468551484260290666283449260213316132801468484092282493219437597 (pp126)
Version: Msieve-1.40
Total time: 147.29 hours.
Scaled time: 137.28 units (timescale=0.932).
Factorization parameters were as follows:
n: 75672834690628813738884692486237863109217914374123742971025559531819051117687768380587578923326908021733238123148595305807683682047514284967385008248338981278540697538431481
m: 100000000000000000000000000000000000
deg: 5
c5: 5500
c0: 53
skew: 0.40
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3350000, 8450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1468416 x 1468643
Total sieving time: 142.34 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.36 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 147.29 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1747206064789663244636024616303834496193490674713373318452462065863603279375819621166243768610765930109283400738765121207497819831128816001092760172125999<154>

3514079069963058301123185499707119<34>

497201693531622986468404093303032176513401812734315698467007241033476464189757219441938251968856592445114918259509443521<120>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1981296361
Step 1 took 7208ms
********** Factor found in step 1: 3514079069963058301123185499707119
Found probable prime factor of 34 digits: 3514079069963058301123185499707119
Composite cofactor 497201693531622986468404093303032176513401812734315698467007241033476464189757219441938251968856592445114918259509443521 has 120 digits

GMP-ECM 6.3

497201693531622986468404093303032176513401812734315698467007241033476464189757219441938251968856592445114918259509443521<120>

8878178185491589728084629549419149463341703<43>
56002671172350732514023683650394958180496574128921583970187594938207874937207<77>

N = 497201693531622986468404093303032176513401812734315698467007241033476464189757219441938251968856592445114918259509443521 (120 digits)
Divisors found:
r1=8878178185491589728084629549419149463341703 (pp43)
r2=56002671172350732514023683650394958180496574128921583970187594938207874937207 (pp77)
Version: Msieve v. 1.48
Total time: 14.30 hours.
Factorization parameters were as follows:
n: 497201693531622986468404093303032176513401812734315698467007241033476464189757219441938251968856592445114918259509443521
Y0: -149329003610146513117597
Y1: 6680130958027
c0: -4312054384605524303056259520
c1: 609449312312976054169880
c2: 12149597279602654744
c3: -116737838042932
c4: -1269112185
c5: 6696
skew: 93212.35  
type: gnfs
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10332549
Relations: 1384000 relations
Pruned matrix : 771263 x 771489
Polynomial selection time: 0.00 hours.
Total sieving time: 13.50 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.70 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 14.30 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

347251012715764026001976513935616774044413158795508406369239458704167449281469891115862348103211087716283232721044329665653190027941598552927486431045159232258351<162>

46306312790534647025553802989865522803249024023126239585478367615736679<71>
7498999419075852276856222414144239895342914371164662061371350279411062488674689462986872569<91>

Number: 61117_181
N=347251012715764026001976513935616774044413158795508406369239458704167449281469891115862348103211087716283232721044329665653190027941598552927486431045159232258351
  ( 162 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=46306312790534647025553802989865522803249024023126239585478367615736679
 r2=7498999419075852276856222414144239895342914371164662061371350279411062488674689462986872569
Version: 
Total time: 64.48 hours.
Scaled time: 332.60 units (timescale=5.158).
Factorization parameters were as follows:
n: 347251012715764026001976513935616774044413158795508406369239458704167449281469891115862348103211087716283232721044329665653190027941598552927486431045159232258351
m: 1000000000000000000000000000000000000
deg: 5
c5: 550
c0: 53
skew: 0.63
# Murphy_E = 7.336e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18545136
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1400820 x 1401068
Total sieving time: 60.61 hours.
Total relation processing time: 1.44 hours.
Matrix solve time: 2.26 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 64.48 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 BogoMIPS).

GGNFS / Msieve v1.39

Core i7 4930K

2330977343755051664962169151030160200956998175310511494483055749129449997381316479916199821808818389301326298603063968087753827693340178998454160669173212376325223821196817321<175>

17868784444876265467940557600369903<35>
7792286882177862311418212703288884542140202909802789<52>
16740873289171532846662824594307797794816194321650194909050871228736057758030236836532763<89>

N=2330977343755051664962169151030160200956998175310511494483055749129449997381316479916199821808818389301326298603063968087753827693340178998454160669173212376325223821196817321
  ( 175 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=17868784444876265467940557600369903 (pp35)
 r2=7792286882177862311418212703288884542140202909802789 (pp52)
 r3=16740873289171532846662824594307797794816194321650194909050871228736057758030236836532763 (pp89)
Version: Msieve v. 1.47
Total time:
Scaled time: 36.53 units (timescale=1.427).
Factorization parameters were as follows:
n: 2330977343755051664962169151030160200956998175310511494483055749129449997381316479916199821808818389301326298603063968087753827693340178998454160669173212376325223821196817321
m: 1000000000000000000000000000000000000
deg: 5
c5: 5500
c0: 53
skew: 0.40
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 12150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1675072 x 1675299
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time:

330127208713874607401883925962019611005586868883100010427065755155049824140591039663274693062116817792363945169490933653247184531990569242689808108989256509<156>

2000975919480487944735414439411542215858514135894817517554663405382121480169<76>
164983099246684246142977051124977336591726694630098509356881432380431604874999861<81>

Number: 61117_183
N=330127208713874607401883925962019611005586868883100010427065755155049824140591039663274693062116817792363945169490933653247184531990569242689808108989256509
  ( 156 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=2000975919480487944735414439411542215858514135894817517554663405382121480169
 r2=164983099246684246142977051124977336591726694630098509356881432380431604874999861
Version: 
Total time: 88.75 hours.
Scaled time: 466.27 units (timescale=5.254).
Factorization parameters were as follows:
n: 330127208713874607401883925962019611005586868883100010427065755155049824140591039663274693062116817792363945169490933653247184531990569242689808108989256509
m: 5000000000000000000000000000000000000
deg: 5
c5: 88
c0: 265
skew: 1.25
# Murphy_E = 5.12e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20836912
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1690676 x 1690924
Total sieving time: 82.74 hours.
Total relation processing time: 2.22 hours.
Matrix solve time: 3.65 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 88.75 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

2358864828467638518975995333736484776744166098394685263099205276995063539240788632844833871583398738221759026946814031385768754047597603393334276879264720388740923731466827927244031<181>

299186033889093434494711100919736508233251687550293980333909521<63>
7884274535829624751955048946137314807144323255787431031881040268248974228611948641297326772368968198018694299874423311<118>

Number: n
N=2358864828467638518975995333736484776744166098394685263099205276995063539240788632844833871583398738221759026946814031385768754047597603393334276879264720388740923731466827927244031
  ( 181 digits)
SNFS difficulty: 186 digits.
Divisors found:

Thu Jul 30 08:47:27 2009  prp63 factor: 299186033889093434494711100919736508233251687550293980333909521
Thu Jul 30 08:47:27 2009  prp118 factor: 7884274535829624751955048946137314807144323255787431031881040268248974228611948641297326772368968198018694299874423311
Thu Jul 30 08:47:27 2009  elapsed time 02:59:55 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 197.17 hours.
Scaled time: 513.83 units (timescale=2.606).
Factorization parameters were as follows:
name: KA_6_1_183_7
n: 2358864828467638518975995333736484776744166098394685263099205276995063539240788632844833871583398738221759026946814031385768754047597603393334276879264720388740923731466827927244031
m: 10000000000000000000000000000000000000
deg: 5
c5: 11
c0: 106
skew: 1.57
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, 7801231)
Primes: RFBsize:590006, AFBsize:590541, largePrimes:21231701 encountered
Relations: rels:21472492, finalFF:1016701
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2220134 hash collisions in 23704512 relations
Msieve: matrix is 1468917 x 1469164 (396.3 MB)

Total sieving time: 196.53 hours.
Total relation processing time: 0.65 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,56,56,2.5,2.5,100000
total time: 197.17 hours.
 --------- CPU info (if available) ----------

2900112660866045570897270732396122364094645419003007198938965527093949472517710399772351695639587667818073622451662683463972881515981787335042230659<148>

669122999816403241599286490951516318197219735662094812602724439<63>
4334199633941428667002144810116078909001555761436330467326048206073662174656656204981<85>

Number: 61117_185
N=2900112660866045570897270732396122364094645419003007198938965527093949472517710399772351695639587667818073622451662683463972881515981787335042230659
  ( 148 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=669122999816403241599286490951516318197219735662094812602724439
 r2=4334199633941428667002144810116078909001555761436330467326048206073662174656656204981
Version: 
Total time: 93.33 hours.
Scaled time: 490.09 units (timescale=5.251).
Factorization parameters were as follows:
n: 2900112660866045570897270732396122364094645419003007198938965527093949472517710399772351695639587667818073622451662683463972881515981787335042230659
m: 10000000000000000000000000000000000000
deg: 5
c5: 55
c0: 53
skew: 0.99
# Murphy_E = 4.88e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20990391
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1745065 x 1745313
Total sieving time: 86.88 hours.
Total relation processing time: 2.31 hours.
Matrix solve time: 4.02 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 93.33 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

3252125446710873989110474588642423409501343730321563303887977916287900309667323820346751457434688345006866071847720899280739381<127>

8397437812343835280132655770909271267<37>
387275919082175736508356647496709535387646969166143986070306062251228534714159765453364743<90>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2229209567
Step 1 took 38497ms
Step 2 took 13868ms
********** Factor found in step 2: 8397437812343835280132655770909271267
Found probable prime factor of 37 digits: 8397437812343835280132655770909271267
Probable prime cofactor 387275919082175736508356647496709535387646969166143986070306062251228534714159765453364743 has 90 digits

GMP-ECM 6.2.1

3353820943824522620537912372760719231417658842015843290513910034118943337449091236544542093712213209484684921318657343978474607<127>

105624890951837284826850554532441255605518509918227<51>
31752183728679956711982173397908926382986301230511463917943385497736924949941<77>

Number: 61117_188
N=3353820943824522620537912372760719231417658842015843290513910034118943337449091236544542093712213209484684921318657343978474607
  ( 127 digits)
Divisors found:
 r1=105624890951837284826850554532441255605518509918227 (pp51)
 r2=31752183728679956711982173397908926382986301230511463917943385497736924949941 (pp77)
Version: Msieve-1.40
Total time: 96.29 hours.
Scaled time: 310.26 units (timescale=3.222).
Factorization parameters were as follows:
name: 61117_188
# Murphy_E = 1.157454e-10, selected by Jeff Gilchrist
n: 3353820943824522620537912372760719231417658842015843290513910034118943337449091236544542093712213209484684921318657343978474607
Y0: -2625548429413531077760474
Y1: 60286404966257
c0: 68081307298291923989745076069399
c1: 5356871208883519836365291570
c2: -13099698895852305524151
c3: -28014524541481834
c4: 28144621888
c5: 26880
skew: 629762.92
type: gnfs
# selected mechanically
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [3950000, 7150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1122869 x 1123117
Total sieving time: 93.39 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.55 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 96.29 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

216089201533202880231960301937317599951191357719799295135939708583279858721921164328522503141617816550396574144541196010249841581625926260039<141>

8296889393068527060459401656510626548753<40>
26044604344578867167670117553551342987735875368796322048838491263108658604217109241559806685842146263<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=350748159
Step 1 took 9508ms
Step 2 took 4207ms
********** Factor found in step 2: 8296889393068527060459401656510626548753
Found probable prime factor of 40 digits: 8296889393068527060459401656510626548753
Probable prime cofactor

34941186183920084137877811538531704127963815058187496259116532826226447111083668655218282762325576635070721618416311180979703433585493328564756098023025001516689104162418511163<176>

74935516954599430381496609886481634576421587359<47>
51421145295334217656985591455761509041134600984000550001<56>
9067930674686537583126945240104155791724568895026304145778960833712786357<73>

34941186183920084137877811538531704127963815058187496259116532826226447111083668655218282762325576635070721618416311180979703433585493328564756098023025001516689104162418511163=74935516954599430381496609886481634576421587359*51421145295334217656985591455761509041134600984000550001*9067930674686537583126945240104155791724568895026304145778960833712786357

cado polynomial
n: 34941186183920084137877811538531704127963815058187496259116532826226447111083668655218282762325576635070721618416311180979703433585493328564756098023025001516689104162418511163
skew: 0.99
type: snfs
c0: 53
c5: 55
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 55*x^5+53
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11000000
tasks.lim1 = 11000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 74935516954599430381496609886481634576421587359 51421145295334217656985591455761509041134600984000550001 9067930674686537583126945240104155791724568895026304145778960833712786357
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.74/2.0287
Info:Generate Free Relations: Total cpu/real time for freerel: 101.94/26.3485
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26811742
Info:Lattice Sieving: Average J: 1894.16 for 2868862 special-q, max bucket fill -bkmult 1.0,1s:1.119200
Info:Lattice Sieving: Total time: 666693s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.92/110.491
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 109.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 431.48/394.8
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 342.29999999999995s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 343.61/357.511
Info:Filtering - Merging: Merged matrix has 2266940 rows and total weight 387778525 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 326.63/93.9896
Info:Filtering - Merging: Total cpu/real time for replay: 88.3/75.8574
Info:Linear Algebra: Total cpu/real time for bwc: 90816.1/23293.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 14693.61, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71168 iterations)
Info:Linear Algebra: Lingen CPU time 454.34, WCT time 132.22
Info:Linear Algebra: Mksol: WCT time 8253.12, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 80.86/34.5646
Info:Square Root: Total cpu/real time for sqrt: 1138.48/348.777
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.31996e+06/358246
74935516954599430381496609886481634576421587359 51421145295334217656985591455761509041134600984000550001 9067930674686537583126945240104155791724568895026304145778960833712786357

cado-nfs-3.0.0

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

1370582990137006707977424007201873434217440873475549968822021386145277079143461139249396028828299880728428584681277082371337522926890772328644220525272849790973374535673260953<175>

78064749370829688687017990584792017557<38>

17557002375378789507649247929273082190290242557346610100617190504811747638440634586480319067280641829531512581117958725320244371227197429<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1909236680
Step 1 took 15384ms
********** Factor found in step 1: 78064749370829688687017990584792017557
Found probable prime factor of 38 digits: 78064749370829688687017990584792017557
Composite cofactor 

17557002375378789507649247929273082190290242557346610100617190504811747638440634586480319067280641829531512581117958725320244371227197429<137>

1584589667982300273202475513014211842244979703765952591<55>
11079841507318789153741132689219535678252472176378407604797466555189569792989380219<83>

Number: 61117_193
N = 17557002375378789507649247929273082190290242557346610100617190504811747638440634586480319067280641829531512581117958725320244371227197429 (137 digits)
Divisors found:
r1=1584589667982300273202475513014211842244979703765952591 (pp55)
r2=11079841507318789153741132689219535678252472176378407604797466555189569792989380219 (pp83)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 122.65 hours.
Factorization parameters were as follows:
# Murphy_E = 3.332e-11, selected by Erik Branger
# expecting poly E from 3.47e-011 to > 3.99e-011
n: 17557002375378789507649247929273082190290242557346610100617190504811747638440634586480319067280641829531512581117958725320244371227197429
Y0: -328924926453075018279318748
Y1: 217346298264937
c0: 275239581454504763341003087893835425
c1: 376135190949359468538676260585
c2: -289027860725727174135259
c3: -54832175956844105
c4: 25328078426
c5: 4560
skew: 3063014.76
type: gnfs
# selected mechanically
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22803930
Relations: 3630048 relations
Pruned matrix : 2191890 x 2192117
Polynomial selection time: 0.00 hours.
Total sieving time: 119.14 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.20 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14400000,14400000,28,28,55,55,2.6,2.6,100000
total time: 122.65 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

23133897340211284396363541996179784735112234269204492014894014816320491669551151327860099016150785348500118142995948607376140800365186324027719360992062899139882313563<167>

6917583622569492638710025710083108098366765580010202375905261376850319499171891401<82>
3344216507153453780581865733997174406596610745846765694529433744122718278591906735363<85>

Number: n
N=23133897340211284396363541996179784735112234269204492014894014816320491669551151327860099016150785348500118142995948607376140800365186324027719360992062899139882313563  ( 167 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Mar 29 14:01:56 2021  p82 factor: 6917583622569492638710025710083108098366765580010202375905261376850319499171891401
Mon Mar 29 14:01:56 2021  p85 factor: 3344216507153453780581865733997174406596610745846765694529433744122718278591906735363
Mon Mar 29 14:01:56 2021  elapsed time 01:07:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 55x10^195+53 = 61(194)7
#
n: 23133897340211284396363541996179784735112234269204492014894014816320491669551151327860099016150785348500118142995948607376140800365186324027719360992062899139882313563
m: 1000000000000000000000000000000000000000
deg: 5
c5: 55
c0: 53
skew: 0.99
# Murphy_E = 1.892e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4629800 hash collisions in 31790972 relations (28763534 unique)
Msieve: matrix is 1703877 x 1704102 (591.9 MB)

Sieving start time : 2021/03/29 05:39:24
Sieving end time  : 2021/03/29 12:54:23

Total sieving time: 7hrs 14min 59secs.

Total relation processing time: 0hrs 56min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

838963880661499918379030363466746602935243864396861664511251947655389981822988765497026818037369353036544995961495755866865948485246837976973<141>

216428879338032920663745262094007668556613<42>
14309301821623912665606231157667894037777767<44>
270900376703889712773684485590178862376690445527325873263<57>

838963880661499918379030363466746602935243864396861664511251947655389981822988765497026818037369353036544995961495755866865948485246837976973=216428879338032920663745262094007668556613*14309301821623912665606231157667894037777767*270900376703889712773684485590178862376690445527325873263

Info:Square Root: Factors: 216428879338032920663745262094007668556613 270900376703889712773684485590178862376690445527325873263 14309301821623912665606231157667894037777767
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66707/42.300/50.757/56.470/0.946
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66707/40.620/45.583/51.720/1.386
Info:Polynomial Selection (size optimized): Total time: 44969.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9321.46
Info:Polynomial Selection (root optimized): Rootsieve time: 9319.23
Info:Generate Factor Base: Total cpu/real time for makefb: 23.21/14.1691
Info:Generate Free Relations: Total cpu/real time for freerel: 861/476.482
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34456143
Info:Lattice Sieving: Average J: 3796.9 for 1145091 special-q, max bucket fill -bkmult 1.0,1s:1.124320
Info:Lattice Sieving: Total time: 1.59134e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 151.59/544.993
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 543.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1190.03/1629.64
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1469.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 902.04/1315.34
Info:Filtering - Merging: Total cpu/real time for merge: 1467.3/1351.04
Info:Filtering - Merging: Total cpu/real time for replay: 100.7/80.1833
Info:Linear Algebra: Total cpu/real time for bwc: 174298/35482
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 23246.96, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (65000 iterations)
Info:Linear Algebra: Lingen CPU time 733.25, WCT time 157.18
Info:Linear Algebra: Mksol: WCT time 11614.71, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.05, comm-wait 0.0 (33000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 86.5/20.9282
Info:Square Root: Total cpu/real time for sqrt: 5077.04/746.65
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.74808e+06/313844
Info:root: Cleaning up computation data in /tmp/cado.qy8m_gps
216428879338032920663745262094007668556613 270900376703889712773684485590178862376690445527325873263 14309301821623912665606231157667894037777767

cado-nfs-3.0.0

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

25444660893460510317172439394273556297338846060840182666903667766609275787693643836357738825942267824554292636529889428645386199205259751<137>

4646275918046474726914070102202746441538122559419<49>
5476355976757986022100975097151083556451371821389834131152133448924920125725709745151429<88>

Number: 61117_199
N=25444660893460510317172439394273556297338846060840182666903667766609275787693643836357738825942267824554292636529889428645386199205259751
  ( 137 digits)
Divisors found:
 r1=4646275918046474726914070102202746441538122559419 (pp49)
 r2=5476355976757986022100975097151083556451371821389834131152133448924920125725709745151429 (pp88)
Version: Msieve-1.40
Total time: 455.10 hours.
Scaled time: 1153.23 units (timescale=2.534).
Factorization parameters were as follows:
name: 61117_199
# Murphy_E = 3.193184e-11, selected by Jeff Gilchrist
n: 25444660893460510317172439394273556297338846060840182666903667766609275787693643836357738825942267824554292636529889428645386199205259751
Y0: -195340899491540177501362945
Y1: 1646830578424513
c0: -17264089700630042706198979052928
c1: 4053148267436222996637322534
c2: -5446174057260405430633
c3: -42244614185732804
c4: 45385993146
c5: 89460
skew: 431663.49
type: gnfs
# selected mechanically
rlim: 14600000
alim: 14600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14600000/14600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [7300000, 13000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2006714 x 2006962
Total sieving time: 455.10 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,136,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,14600000,14600000,28,28,55,55,2.6,2.6,100000
total time: 455.10 hours.
 --------- CPU info (if available) ----------

61825560793777565228873872021548172325795087703549612793488357980305093036171834731609763242960647518672840240413823993689282725543881753998343624813541427949289017527381792982996172366075767<191>

23074832604403156003968083678423161<35>
2679350349088988305490403091431348358892120669855456232877078195575641044743881337125955286009460700529432362124348914568981407995940754578885914624269755247<157>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2828504491
Step 1 took 89687ms
Step 2 took 26641ms
********** Factor found in step 2: 23074832604403156003968083678423161
Found probable prime factor of 35 digits: 23074832604403156003968083678423161
Probable prime cofactor 2679350349088988305490403091431348358892120669855456232877078195575641044743881337125955286009460700529432362124348914568981407995940754578885914624269755247 has 157 digits

GMP-ECM 6.2.3

Dual Xeon E5335 / Windows 2003 Server SP2

38489004867673403898664599753081340177422821948190533000288732416566474183683935550866752107453414289221494307227397399240752672244076708186601100688796669519<158>

3182926213879566929452257852809267<34>

12092333369161073721453095497369483934473764519498218736238482790936465340160389049119166372609930051353777385455408331203957<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4133403303
Step 1 took 68140ms
Step 2 took 22047ms
********** Factor found in step 2: 3182926213879566929452257852809267
Found probable prime factor of 34 digits: 3182926213879566929452257852809267
Composite cofactor 12092333369161073721453095497369483934473764519498218736238482790936465340160389049119166372609930051353777385455408331203957 has 125 digits

GMP-ECM 6.2.3

Dual Xeon E5320 / Windows 2003 Server SP2

12092333369161073721453095497369483934473764519498218736238482790936465340160389049119166372609930051353777385455408331203957<125>

1013944414775298531887586674648494811<37>
2482825775424863871031919439485952104015647<43>
4803410675320021647238892316395541852769020721<46>

N=12092333369161073721453095497369483934473764519498218736238482790936465340160389049119166372609930051353777385455408331203957
  ( 125 digits)
Divisors found:
 r1=1013944414775298531887586674648494811 (pp37)
 r2=2482825775424863871031919439485952104015647 (pp43)
 r3=4803410675320021647238892316395541852769020721 (pp46)
Version: Msieve-1.39
Total time: 41.67 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 12092333369161073721453095497369483934473764519498218736238482790936465340160389049119166372609930051353777385455408331203957
Y0: -1274220013688769562210121
Y1: 23595695924081
c0: -4189165970554800237272722358592
c1: 28436094983909550967213948
c2: 554318636804277421328
c3: -207429849887747
c4: -6490537500
c5: 3600
skew: 301287.21
type: gnfs
# selected mechanically
rlim: 6800000
alim: 6800000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6

Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved algebraic special-q in [3400000, 6100001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 953591 x 953835
Total sieving time: 39.29 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 1.74 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6800000,6800000,29,29,55,55,2.6,2.6,300000
total time: 41.67 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.236014] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.332940] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.432541] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197988k/10485760k available (2226k kernel code, 189848k reserved, 1082k data, 392k init)
[    0.083990] Calibrating delay using timer specific routine.. 5337.16 BogoMIPS (lpj=10674326)
[    0.156009] Calibrating delay using timer specific routine.. 5333.34 BogoMIPS (lpj=10666681)
[    0.256016] Calibrating delay using timer specific routine.. 5333.37 BogoMIPS (lpj=10666743)
[    0.352020] Calibrating delay using timer specific routine.. 5333.36 BogoMIPS (lpj=10666726)
[    0.440025] Total of 4 processors activated (21337.23 BogoMIPS).

39894813014752924409303702078973429700227991597360403623224256398577163842394408473815626673775244859174717086207365610398699806706784118707534975656123698519855917549<167>

49103517554322951613338390815370602661017266036884733148413<59>
812463444612038476063098742753457158940028652593806972093244365737208709266183133954638839336155323744381873<108>

Number: n
N=39894813014752924409303702078973429700227991597360403623224256398577163842394408473815626673775244859174717086207365610398699806706784118707534975656123698519855917549  ( 167 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Sep 23 11:39:49 2023  prp59 factor: 49103517554322951613338390815370602661017266036884733148413
Sat Sep 23 11:39:49 2023  prp108 factor: 812463444612038476063098742753457158940028652593806972093244365737208709266183133954638839336155323744381873
Sat Sep 23 11:39:49 2023  elapsed time 02:27:34 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
#
# N = 55x10^203+53 = 61(202)7
#
n: 39894813014752924409303702078973429700227991597360403623224256398577163842394408473815626673775244859174717086207365610398699806706784118707534975656123698519855917549
m: 10000000000000000000000000000000000
deg: 6
c6: 11
c0: 106
skew: 1.46
# Murphy_E = 9.915e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3043566 hash collisions in 18765284 relations (16459465 unique)
Msieve: matrix is 2183515 x 2183740 (617.8 MB)

Sieving start time: 2023/09/22 17:47:30
Sieving end time  : 2023/09/23 09:11:52

Total sieving time: 15hrs 24min 22secs.

Total relation processing time: 2hrs 19min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 58sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18300000,18300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

111293227301240413606102915882555292498836479896396122948663469515773285578421254982901313260082154636880552014407414152451486270462777474250794228940286124769825370808798235496468969424715190513770007487<204>

371166365926859621709143567057692574048759959<45>
299847285524710925716978119793796145540294403290423817119819664905992878440587427585634480422573761400320678024791527799610741661109511996000556376557495040793<159>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1673665776
Step 1 took 66489ms
Step 2 took 34408ms
********** Factor found in step 2: 371166365926859621709143567057692574048759959
Found probable prime factor of 45 digits: 371166365926859621709143567057692574048759959
Probable prime cofactor 

3738529608222255041932090758074036602627860252085049948769503283206458020514700203377968842025707859520179291730156525276401678148777854570526174546810662574968949558380558511086321221265266481711<196>

43834413985516693092598008144986842147605833<44>
23573109452456544524811358177387341293377740920139353535647889985591<68>
3618001535964472144624719114950616944217974573950471371426343305805609445374840465537<85>

#
# N = 55x10^209+53 = 61(208)7
#
# n: 3738529608222255041932090758074036602627860252085049948769503283206458020514700203377968842025707859520179291730156525276401678148777854570526174546810662574968949558380558511086321221265266481711
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 37385296082222550419320907580740366026278602520850499487695032832064580205147002033779688420257078595201792917301565252764016781487778545705261745468106625749689495583805585110863212212
65266481711 (196 digits)
# Using B1=36250000, B2=192389627446, polynomial Dickson(12), sigma=1:3224123490
# Step 1 took 116838ms
# Step 2 took 37751ms
# ********** Factor found in step 2: 43834413985516693092598008144986842147605833
# Found prime factor of 44 digits: 43834413985516693092598008144986842147605833
# Composite cofactor 85287546206446395040647341109671149798358048195857481231607911238990266264717761708449360506306788610971821667264074774204763703184505514105690662077367 has 152 digits
#
n: 85287546206446395040647341109671149798358048195857481231607911238990266264717761708449360506306788610971821667264074774204763703184505514105690662077367
m: 100000000000000000000000000000000000
deg: 6
c6: 11
c0: 106
skew: 1.46
# Murphy_E = 6.264e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



Number: n
N=85287546206446395040647341109671149798358048195857481231607911238990266264717761708449360506306788610971821667264074774204763703184505514105690662077367
  ( 152 digits)
SNFS difficulty: 211 digits.
Divisors found:

Wed Jun 16 18:18:36 2021  p68 factor: 23573109452456544524811358177387341293377740920139353535647889985591
Wed Jun 16 18:18:36 2021  p85 factor: 3618001535964472144624719114950616944217974573950471371426343305805609445374840465537
Wed Jun 16 18:18:36 2021  elapsed time 02:57:48 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 55x10^209+53 = 61(208)7
#
# n: 3738529608222255041932090758074036602627860252085049948769503283206458020514700203377968842025707859520179291730156525276401678148777854570526174546810662574968949558380558511086321221265266481711
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 37385296082222550419320907580740366026278602520850499487695032832064580205147002033779688420257078595201792917301565252764016781487778545705261745468106625749689495583805585110863212212
65266481711 (196 digits)
# Using B1=36250000, B2=192389627446, polynomial Dickson(12), sigma=1:3224123490
# Step 1 took 116838ms
# Step 2 took 37751ms
# ********** Factor found in step 2: 43834413985516693092598008144986842147605833
# Found prime factor of 44 digits: 43834413985516693092598008144986842147605833
# Composite cofactor 85287546206446395040647341109671149798358048195857481231607911238990266264717761708449360506306788610971821667264074774204763703184505514105690662077367 has 152 digits
#
n: 85287546206446395040647341109671149798358048195857481231607911238990266264717761708449360506306788610971821667264074774204763703184505514105690662077367
m: 100000000000000000000000000000000000
deg: 6
c6: 11
c0: 106
skew: 1.46
# Murphy_E = 6.264e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 60300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7451325 hash collisions in 57079954 relations (52443241 unique)
Msieve: matrix is 2752144 x 2752369 (965.0 MB)

Sieving start time : 2021/06/15 16:51:02
Sieving end time  : 2021/06/16 15:19:29

Total sieving time: 22hrs 28min 27secs.

Total relation processing time: 2hrs 37min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 23sec.

Prototype def-par.txt line would be:
snfs,211,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119993] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241092K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 486144K reserved, 0K cma-reserved)
[    0.154044] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.33 BogoMIPS (lpj=12798672)
[    0.150212] smpboot: Total of 16 processors activated (102389.37 BogoMIPS)

3105641495073698340841037975227816680101139801045743417407366362004139975249165587483258187030729764800038901075414336995203067633751600795958880442896020933319281427244533912167896965600326271<193>

1155219491703423650493593782818735559756353707204368830077714765805503045578659945389624028565427431211930266750682629699642932157109850871665616467128754463348036126864104179794160890569208149548414198697752573<211>

951826075570820411221754317575197812933068003515121021173353328106173399699610348496755900173656279<99>
1213687585739470316262402388632172552747153336686985474799439130081333124238599251449855507845061437654226259787<112>

Number: n
N=1155219491703423650493593782818735559756353707204368830077714765805503045578659945389624028565427431211930266750682629699642932157109850871665616467128754463348036126864104179794160890569208149548414198697752573
  ( 211 digits)
SNFS difficulty: 213 digits.
Divisors found:

Sat Feb  1 01:46:24 2014  prp99 factor: 951826075570820411221754317575197812933068003515121021173353328106173399699610348496755900173656279
Sat Feb  1 01:46:24 2014  prp112 factor: 1213687585739470316262402388632172552747153336686985474799439130081333124238599251449855507845061437654226259787
Sat Feb  1 01:46:24 2014  elapsed time 33:55:20 (Msieve 1.44 - dependency 8)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.744).
Factorization parameters were as follows:
#
#  55*10^212+53 - 61(211)7
#
#  c211, diff: 213.74
#
skew: 0.461
n: 1155219491703423650493593782818735559756353707204368830077714765805503045578659945389624028565427431211930266750682629699642932157109850871665616467128754463348036126864104179794160890569208149548414198697752573
m: 100000000000000000000000000000000000
deg: 6
c6: 5500
c0: 53
# Murphy_E = 3.268e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 37000000)
Primes: RFBsize:1624527, AFBsize:1624890,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10235432 hash collisions in 58520457 relations (50307694 unique)
Msieve: matrix is 3712732 x 3712957 (1060.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 23hrs 57min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 9hrs 18min 41sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679013<213>

61607846324671889777091586103810270304270937<44>
11021523818583648895568144498641419509843242553357918302535214161886489375632408932968801116242883065777530477547238543707768243619814712976417924203092143774664253506349<170>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=710177973
Step 1 took 21766ms
Step 2 took 14248ms
********** Factor found in step 2: 61607846324671889777091586103810270304270937
Found probable prime factor of 44 digits: 61607846324671889777091586103810270304270937
Probable prime cofactor

1792743198930989406834917030664036946586335041448932612140057920414394872183687817685225665879045528595066924518419001461002192665992284289879775557228291843284080882487492729568806626251<187>

860310186611585992088608484204401753575509083535754817725978307481052112763826262784827036657146478834223873959592263845597943431064193560127732230555451039599384792560962136287567687166156407231575282287313<207>

69805506258324053827558783063012791612568694287841783776005846181891334027478276212136311677351<95>
12324388615246195107474727377292687804827883679118272150879054832926478851037899734377527343968084028081662744263<113>

Number: n
N=860310186611585992088608484204401753575509083535754817725978307481052112763826262784827036657146478834223873959592263845597943431064193560127732230555451039599384792560962136287567687166156407231575282287313
  ( 207 digits)
SNFS difficulty: 217 digits.
Divisors found:

Sat Dec 21 11:06:06 2019  p95 factor: 69805506258324053827558783063012791612568694287841783776005846181891334027478276212136311677351
Sat Dec 21 11:06:06 2019  p113 factor: 12324388615246195107474727377292687804827883679118272150879054832926478851037899734377527343968084028081662744263
Sat Dec 21 11:06:06 2019  elapsed time 04:48:38 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.133).
Factorization parameters were as follows:
#
# N = 55x10^215+53 = 61(214)7
#
n: 860310186611585992088608484204401753575509083535754817725978307481052112763826262784827036657146478834223873959592263845597943431064193560127732230555451039599384792560962136287567687166156407231575282287313
m: 1000000000000000000000000000000000000
deg: 6
c6: 11
c0: 106
skew: 1.46
# Murphy_E = 3.94e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 61700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9591375 hash collisions in 63294172 relations (56508533 unique)
Msieve: matrix is 3266698 x 3266924 (1146.4 MB)

Sieving start time: 2019/12/20 01:42:22
Sieving end time  : 2019/12/21 06:15:15

Total sieving time: 28hrs 32min 53secs.

Total relation processing time: 4hrs 18min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 30sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149711] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283564K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2388K bss, 419896K reserved, 0K cma-reserved)
[    0.184572] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977084)
[    0.182221] smpboot: Total of 16 processors activated (95816.67 BogoMIPS)

66331683549927706865093722092790212292012522471766494174606858577179755649717841764688563685645833908139800717199327941029998698022768789325382231174573580722155707<164>

213028100698329018474002049004722365566409<42>
311375275526962482082307737092991281157473825144311074466062111270537758725023826835454265977935398402442390644026614938723<123>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3218851663
Step 1 took 40145ms
Step 2 took 229ms
********** Factor found in step 2: 213028100698329018474002049004722365566409
Found probable prime factor of 42 digits: 213028100698329018474002049004722365566409
Probable prime cofactor

65083999360183884927929970897656713263892377693917046244544370526147379981948140367775909347522596686067843880433348833154047162831991373132018589280495989956174415871930148554653708391791940781469<197>

8906641740975000605688825364025740821024050678449306517387008634043700927010088065835383144964878696381354067647125931899322990819374062398050521792550666414879607213579<169>

1126680038588811226841447304834346498290885933729311873695811688764236655933587155183012258794933536007107276263879460189236284110989256559546965659682322885628986276102435989811871989599502305895286269<202>

4863256550262193196742917889754311950594461402327826317<55>
231671931543086786674776379221330861551415929761417560462286242602068931804739570772727831710526439043703930523169297794422112169398529964267588657<147>

Number: 61117_219
N = 1126680038588811226841447304834346498290885933729311873695811688764236655933587155183012258794933536007107276263879460189236284110989256559546965659682322885628986276102435989811871989599502305895286269 (202 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=4863256550262193196742917889754311950594461402327826317 (pp55)
r2=231671931543086786674776379221330861551415929761417560462286242602068931804739570772727831710526439043703930523169297794422112169398529964267588657 (pp147)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 92.43 hours.
Factorization parameters were as follows:
n: 1126680038588811226841447304834346498290885933729311873695811688764236655933587155183012258794933536007107276263879460189236284110989256559546965659682322885628986276102435989811871989599502305895286269
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: 106
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 9265838 relations
Pruned matrix : 7881161 x 7881386
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 43.79 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 47.98 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 92.43 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

46126529391762341894548934754213796437611426009071112501148484373662763520266115588159191073277852799715992235304605278860090020868290320073820108916766760848838440710202241540639192059187887176436877<200>

413826308042606008914853387255659059<36>
111463501704230285299449167681749175093632973798515745701961892503074456570349955186301886640919896943524750816982577275722417452957584607043968386650368180782538303<165>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1730321985
Step 1 took 18145ms
Step 2 took 13121ms
********** Factor found in step 2: 413826308042606008914853387255659059
Found probable prime factor of 36 digits: 413826308042606008914853387255659059
Probable prime cofactor

9737223571607777206360541768416237876699061325104836533394429619874067745609574316437304181231637700320711838023541297761809116226434691927575803001495469188228325389470465799610529505156890252142117<199>

216678354093750135901079385242168072900838452844151201051567053767892238611502747279<84>
44938607791873740275261061065264887091124016311871627081349230580038995074982311442565344415544150277339369343949323<116>

Number: 61117_221
N = 9737223571607777206360541768416237876699061325104836533394429619874067745609574316437304181231637700320711838023541297761809116226434691927575803001495469188228325389470465799610529505156890252142117 (199 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=216678354093750135901079385242168072900838452844151201051567053767892238611502747279 (pp84)
r2=44938607791873740275261061065264887091124016311871627081349230580038995074982311442565344415544150277339369343949323 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 69.60 hours.
Factorization parameters were as follows:
n: 9737223571607777206360541768416237876699061325104836533394429619874067745609574316437304181231637700320711838023541297761809116226434691927575803001495469188228325389470465799610529505156890252142117
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 550
c0: 53
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8866466 relations
Pruned matrix : 7609112 x 7609337
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 31.84 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 37.17 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 69.60 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

281808720454233141653834576976343163067284842132565734329249942163712528842541808508155605200906963254479490422985663881247976211017858922154358618009280911021664534204113801531660834509501228356854821583<204>

3251933529033252157180956524841381488438656056573555421210122104130694979583104120675434670108205465598514379498144790285931209392199408945262949478929503188858356435857875061860317441293174045936569471075067<208>

97586663660898757828441734833076221<35>

33323544499208493185316326259781549942393059889975140034385751443881038693419134513003291612067708773629823280008198331605835202673055010532514885686452122664573486321495127<173>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=44155441
Step 1 took 18361ms
Step 2 took 13753ms
********** Factor found in step 2: 97586663660898757828441734833076221
Found probable prime factor of 35 digits: 97586663660898757828441734833076221
Composite cofactor

146475394555685172329071274926747657945067351415377160903994390371415798616618308742548979428803819026393144544076820262421482217709977397690123010811428155551357395283214951933155232784055877644045709<201>

349323120294236655062918589909972218687<39>
419312052498294978512747865559001326441594758706692645456800731098048411697099772095713019734541121353555579914931035382228644419242248347805422253962860381382707<162>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3996642235
Step 1 took 59267ms
Step 2 took 27311ms
********** Factor found in step 2: 349323120294236655062918589909972218687
Found probable prime factor of 39 digits: 349323120294236655062918589909972218687
Probable prime cofactor

4408767829294560525187077440029107474126798170590804843910888608933199189737806176566732483107843400675638427638079985526979397484161934119025870014929001299138397082501426035599917656297453851639<196>

2168925218302032085828262402206006348079<40>
2032697020668151410731479198032263468513893568313133746967495397170695751950266221015896235966693922579493742986540141189462789919364869071973589790845427641<157>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=555582474
Step 1 took 64100ms
Step 2 took 32005ms
********** Factor found in step 2: 2168925218302032085828262402206006348079
Found probable prime factor of 40 digits: 2168925218302032085828262402206006348079
Probable prime cofactor

5183021723206756761625248016486936802833224642568494773319374604535555014455042325555107071861625239839657629513249998288729492181409930149334300268532806213758469600123933435302065882402604209900357934958630744054987<217>

339047618166712973225961167275052053506937854319074042687791581738591067337421293311965559292710476885655459150785598719797685013504115955144280441648423293720807238746274170554768312006716146945310453<201>

6986220631428840648294246092087315567219851875383289948152880425262670049756762110098009925872904763793347751009618192696546059937223795145818423682539924569389751415823676298984485205011312687872481620672859323<211>

1882493161922088707249853820821463239919097253439161649724301149758648782590785873821150911597811377832790469640740088905578217955459612671487264562875474237346798546937312720895471594601561345148870814605693457039667<217>

2080267614580409762328773108422562234155132841363199188710046688718900008942164235942805561842380567625105786108654920667386617191014737782680217779134034999747458700475876924149631204839479945751<196>