14727023838660376218327768453568687574256162565042157953529770729131644970005024406053<86>

88487325486117617422437582413031689<35>
166430884397911127150765051393953307715521219894077<51>

10/22/09 10:32:20 v1.12 @ ERIK-DATOR, starting SIQS on c86: 14727023838660376218327768453568687574256162565042157953529770729131644970005024406053
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, random seeds: 1449736531, 3653992088
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, ==== sieve params ====
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, n = 87 digits, 289 bits
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, factor base: 56327 primes (max prime = 1480903)
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, single large prime cutoff: 162899330 (110 * pmax)
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, double large prime range from 42 to 50 bits
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, double large prime cutoff: 604581336785488
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, using 0 large prime slices of factor base
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, buckets hold 1024 elements
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, sieve interval: 18 blocks of size 32768
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, polynomial A has ~ -1878638032 factors
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, using multiplier of 53
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, using small prime variation correction of 21 bits
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, trial factoring cutoff at 95 bits
10/22/09 10:32:20 v1.12 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
10/22/09 10:47:46 v1.12 @ ERIK-DATOR, sieve time = 273.9536, relation time = 157.2822, poly_time = 456.9534
10/22/09 10:47:46 v1.12 @ ERIK-DATOR, 56755 relations found: 19831 full + 36924 from 499168 partial, using 21641994 polys (409 A polys)
10/22/09 10:47:46 v1.12 @ ERIK-DATOR, on average, sieving found 0.02 rels/poly and 560.54 rels/sec
10/22/09 10:47:46 v1.12 @ ERIK-DATOR, trial division touched 10587663 sieve locations out of 25529934938112
10/22/09 10:47:46 v1.12 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
10/22/09 10:47:46 v1.12 @ ERIK-DATOR, begin with 518999 relations
10/22/09 10:47:47 v1.12 @ ERIK-DATOR, reduce to 112382 relations in 8 passes
10/22/09 10:47:51 v1.12 @ ERIK-DATOR, recovered 112382 relations
10/22/09 10:47:51 v1.12 @ ERIK-DATOR, recovered 87260 polynomials
10/22/09 10:47:51 v1.12 @ ERIK-DATOR, attempting to build 56755 cycles
10/22/09 10:47:51 v1.12 @ ERIK-DATOR, found 56755 cycles in 4 passes
10/22/09 10:47:51 v1.12 @ ERIK-DATOR, distribution of cycle lengths:
10/22/09 10:47:51 v1.12 @ ERIK-DATOR,    length 1 : 19831
10/22/09 10:47:51 v1.12 @ ERIK-DATOR,    length 2 : 16544
10/22/09 10:47:51 v1.12 @ ERIK-DATOR,    length 3 : 10341
10/22/09 10:47:51 v1.12 @ ERIK-DATOR,    length 4 : 5393
10/22/09 10:47:51 v1.12 @ ERIK-DATOR,    length 5 : 2628
10/22/09 10:47:51 v1.12 @ ERIK-DATOR,    length 6 : 1199
10/22/09 10:47:51 v1.12 @ ERIK-DATOR,    length 7 : 470
10/22/09 10:47:51 v1.12 @ ERIK-DATOR,    length 9+: 349
10/22/09 10:47:51 v1.12 @ ERIK-DATOR, largest cycle: 13 relations
10/22/09 10:47:51 v1.12 @ ERIK-DATOR, matrix is 56327 x 56755 (10.9 MB) with weight 2617883 (46.13/col)
10/22/09 10:47:51 v1.12 @ ERIK-DATOR, sparse part has weight 2617883 (46.13/col)
10/22/09 10:47:52 v1.12 @ ERIK-DATOR, filtering completed in 3 passes
10/22/09 10:47:52 v1.12 @ ERIK-DATOR, matrix is 48415 x 48479 (9.5 MB) with weight 2292126 (47.28/col)
10/22/09 10:47:52 v1.12 @ ERIK-DATOR, sparse part has weight 2292126 (47.28/col)
10/22/09 10:47:52 v1.12 @ ERIK-DATOR, saving the first 48 matrix rows for later
10/22/09 10:47:52 v1.12 @ ERIK-DATOR, matrix is 48367 x 48479 (7.9 MB) with weight 1946755 (40.16/col)
10/22/09 10:47:52 v1.12 @ ERIK-DATOR, sparse part has weight 1768625 (36.48/col)
10/22/09 10:47:52 v1.12 @ ERIK-DATOR, matrix includes 64 packed rows
10/22/09 10:47:52 v1.12 @ ERIK-DATOR, using block size 19391 for processor cache size 2048 kB
10/22/09 10:47:52 v1.12 @ ERIK-DATOR, commencing Lanczos iteration
10/22/09 10:47:52 v1.12 @ ERIK-DATOR, memory use: 7.2 MB
10/22/09 10:48:07 v1.12 @ ERIK-DATOR, lanczos halted after 766 iterations (dim = 48365)
10/22/09 10:48:07 v1.12 @ ERIK-DATOR, recovered 17 nontrivial dependencies
10/22/09 10:48:08 v1.12 @ ERIK-DATOR, prp51 = 166430884397911127150765051393953307715521219894077
10/22/09 10:48:09 v1.12 @ ERIK-DATOR, prp35 = 88487325486117617422437582413031689
10/22/09 10:48:09 v1.12 @ ERIK-DATOR, Lanczos elapsed time = 20.6080 seconds.
10/22/09 10:48:09 v1.12 @ ERIK-DATOR, Sqrt elapsed time = 2.7920 seconds.
10/22/09 10:48:09 v1.12 @ ERIK-DATOR, SIQS elapsed time = 949.2848 seconds.

YAFU

6245642984811856062235287029426084575778440342963469250312594651400868154281248395588881291723<94>

63432888137017016044348166423759881<35>
98460643496494633707032806939239407637455939456098771653683<59>

Number: 68889_110
N=6245642984811856062235287029426084575778440342963469250312594651400868154281248395588881291723
  ( 94 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=63432888137017016044348166423759881 (pp35)
 r2=98460643496494633707032806939239407637455939456098771653683 (pp59)
Version: Msieve v. 1.41
Total time: 1.02 hours.
Scaled time: 0.80 units (timescale=0.782).
Factorization parameters were as follows:
n: 6245642984811856062235287029426084575778440342963469250312594651400868154281248395588881291723
m: 20000000000000000000000
deg: 5
c5: 31
c0: 16
skew: 0.88
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [270000, 370001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 46726 x 46954
Total sieving time: 0.96 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,112.000,5,0,0,0,0,0,0,0,0,540000,540000,25,25,45,45,2.2,2.2,50000
total time: 1.02 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

204930932879838124217739423206018620661313423302611716631311830955133216392871644371769123460752289<99>

3077974809623148102960387293801097224185933679<46>
66579795337873101825458429741248933989066545646212591<53>

Number: n
N=204930932879838124217739423206018620661313423302611716631311830955133216392871644371769123460752289
  ( 99 digits)
SNFS difficulty: 113 digits.
Divisors found:

Fri Oct 23 00:59:50 2009  prp46 factor: 3077974809623148102960387293801097224185933679
Fri Oct 23 00:59:50 2009  prp53 factor: 66579795337873101825458429741248933989066545646212591
Fri Oct 23 00:59:50 2009  elapsed time 00:01:38 (Msieve 1.42 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.57 hours.
Scaled time: 1.04 units (timescale=1.834).
Factorization parameters were as follows:
name: KA_6_8_110_9
n: 204930932879838124217739423206018620661313423302611716631311830955133216392871644371769123460752289
m: 20000000000000000000000
deg: 5
c5: 155
c0: 8
skew: 0.55
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
qintsize: 2000
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved  special-q in [275000, 399389)
Primes: RFBsize:45322, AFBsize:45075, largePrimes:1074629 encountered
Relations: rels:995016, finalFF:92748
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 53214 hash collisions in 1035831 relations
Msieve: matrix is 62559 x 62790 (16.9 MB)

Total sieving time: 0.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,50000
total time: 0.57 hours.
 --------- CPU info (if available) ----------

25909289654617050042664660117550447162997556043569562953326378778519911769675107119241780518144839699015961<107>

424474417621500274841350325647806085712007847<45>
61038518645710499741252246219722199134494898635738764960652863<62>

Number: 68889_112
N=25909289654617050042664660117550447162997556043569562953326378778519911769675107119241780518144839699015961
  ( 107 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=424474417621500274841350325647806085712007847 (pp45)
 r2=61038518645710499741252246219722199134494898635738764960652863 (pp62)
Version: Msieve-1.40
Total time: 0.89 hours.
Scaled time: 0.92 units (timescale=1.037).
Factorization parameters were as follows:
n: 25909289654617050042664660117550447162997556043569562953326378778519911769675107119241780518144839699015961
m: 50000000000000000000000
deg: 5
c5: 248
c0: 125
skew: 0.87
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 52135 x 52363
Total sieving time: 0.86 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 0.89 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

170245261886954603411699122044909859843034472636318422267522289697284236324224885061314091928262172365293182537<111>

45130259711000452950944547303930885114601<41>
3772308490515012510449614847679149216069295945683508079802035124362337<70>

Number: 68889_117
N=170245261886954603411699122044909859843034472636318422267522289697284236324224885061314091928262172365293182537
  ( 111 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=45130259711000452950944547303930885114601 (pp41)
 r2=3772308490515012510449614847679149216069295945683508079802035124362337 (pp70)
Version: Msieve v. 1.41
Total time: 1.96 hours.
Scaled time: 1.53 units (timescale=0.780).
Factorization parameters were as follows:
n: 170245261886954603411699122044909859843034472636318422267522289697284236324224885061314091928262172365293182537
m: 500000000000000000000000
deg: 5
c5: 248
c0: 125
skew: 0.87
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 560001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 67528 x 67758
Total sieving time: 1.90 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,120.000,5,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 1.96 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

12997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639413<119>

81639827347528296394011236911324937968186783394226152874541<59>
159210326457590438894678389977581407772306683697429931033193<60>

SNFS difficulty: 121 digits.
Divisors found:
 r1=81639827347528296394011236911324937968186783394226152874541 (pp59)
 r2=159210326457590438894678389977581407772306683697429931033193 (pp60)
Version: Msieve v. 1.44 SVN130
Total time: 0.77 hours.
Scaled time: 1.84 units (timescale=2.400).
Factorization parameters were as follows:
n: 12997903563941299790356394129979035639412997903563941299790356394129979035639412997903563941299790356394129979035639413
m: 1000000000000000000000000
deg: 5
c5: 31
c0: 5
skew: 0.69
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [462500, 712501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 80641 x 80867
Total sieving time: 0.73 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 0.77 hours.

1350442758172466235831250671045390216870069256104474538043817178620260152392578018490262908301541399833153207<109>

298297116435961716457125618861217437142706371<45>
4527173357582149631512924797923598004872719944155101719816241917<64>

Number: snfs109
N=1350442758172466235831250671045390216870069256104474538043817178620260152392578018490262908301541399833153207
  ( 109 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=298297116435961716457125618861217437142706371 (pp45)
 r2=4527173357582149631512924797923598004872719944155101719816241917 (pp64)
Version: Msieve-1.40
Total time: 1.11 hours.
Scaled time: 2.16 units (timescale=1.957).
Factorization parameters were as follows:
n: 1350442758172466235831250671045390216870069256104474538043817178620260152392578018490262908301541399833153207
m: 5000000000000000000000000
deg: 5
c5: 248
c0: 125
skew: 0.87
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 640001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102486 x 102715
Total sieving time: 1.05 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 1.11 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

30732008387557760692305871105735131794858801889438045066750574222364303535014410090183<86>

140344436011805338070535887144534289733<39>
218975609300055754225391098819657487228955178651<48>

Thu Oct 22 17:39:32 2009  Msieve v. 1.42
Thu Oct 22 17:39:32 2009  random seeds: b48856c4 3e37d87c
Thu Oct 22 17:39:32 2009  factoring 30732008387557760692305871105735131794858801889438045066750574222364303535014410090183 (86 digits)
Thu Oct 22 17:39:33 2009  searching for 15-digit factors
Thu Oct 22 17:39:33 2009  commencing quadratic sieve (86-digit input)
Thu Oct 22 17:39:34 2009  using multiplier of 31
Thu Oct 22 17:39:34 2009  using 32kb Intel Core sieve core
Thu Oct 22 17:39:34 2009  sieve interval: 14 blocks of size 32768
Thu Oct 22 17:39:34 2009  processing polynomials in batches of 15
Thu Oct 22 17:39:34 2009  using a sieve bound of 1451909 (55262 primes)
Thu Oct 22 17:39:34 2009  using large prime bound of 116152720 (26 bits)
Thu Oct 22 17:39:34 2009  using double large prime bound of 328891653552400 (41-49 bits)
Thu Oct 22 17:39:34 2009  using trial factoring cutoff of 49 bits
Thu Oct 22 17:39:34 2009  polynomial 'A' values have 11 factors
Thu Oct 22 18:17:35 2009  55502 relations (15906 full + 39596 combined from 580000 partial), need 55358
Thu Oct 22 18:17:36 2009  begin with 595906 relations
Thu Oct 22 18:17:36 2009  reduce to 131595 relations in 9 passes
Thu Oct 22 18:17:36 2009  attempting to read 131595 relations
Thu Oct 22 18:17:38 2009  recovered 131595 relations
Thu Oct 22 18:17:38 2009  recovered 113637 polynomials
Thu Oct 22 18:17:38 2009  attempting to build 55502 cycles
Thu Oct 22 18:17:38 2009  found 55502 cycles in 5 passes
Thu Oct 22 18:17:38 2009  distribution of cycle lengths:
Thu Oct 22 18:17:38 2009     length 1 : 15906
Thu Oct 22 18:17:38 2009     length 2 : 11109
Thu Oct 22 18:17:38 2009     length 3 : 9801
Thu Oct 22 18:17:38 2009     length 4 : 7092
Thu Oct 22 18:17:38 2009     length 5 : 4922
Thu Oct 22 18:17:38 2009     length 6 : 3058
Thu Oct 22 18:17:38 2009     length 7 : 1706
Thu Oct 22 18:17:38 2009     length 9+: 1908
Thu Oct 22 18:17:38 2009  largest cycle: 21 relations
Thu Oct 22 18:17:39 2009  matrix is 55262 x 55502 (12.7 MB) with weight 3100505 (55.86/col)
Thu Oct 22 18:17:39 2009  sparse part has weight 3100505 (55.86/col)
Thu Oct 22 18:17:39 2009  filtering completed in 3 passes
Thu Oct 22 18:17:39 2009  matrix is 50446 x 50510 (11.7 MB) with weight 2853284 (56.49/col)
Thu Oct 22 18:17:39 2009  sparse part has weight 2853284 (56.49/col)
Thu Oct 22 18:17:39 2009  saving the first 48 matrix rows for later
Thu Oct 22 18:17:40 2009  matrix is 50398 x 50510 (7.6 MB) with weight 2247840 (44.50/col)
Thu Oct 22 18:17:40 2009  sparse part has weight 1682043 (33.30/col)
Thu Oct 22 18:17:40 2009  matrix includes 64 packed rows
Thu Oct 22 18:17:40 2009  using block size 20204 for processor cache size 1024 kB
Thu Oct 22 18:17:40 2009  commencing Lanczos iteration
Thu Oct 22 18:17:40 2009  memory use: 7.8 MB
Thu Oct 22 18:17:55 2009  lanczos halted after 798 iterations (dim = 50396)
Thu Oct 22 18:17:55 2009  recovered 17 nontrivial dependencies
Thu Oct 22 18:17:56 2009  prp39 factor: 140344436011805338070535887144534289733
Thu Oct 22 18:17:56 2009  prp48 factor: 218975609300055754225391098819657487228955178651
Thu Oct 22 18:17:56 2009  elapsed time 00:38:24

247539617715612152894729759876354338742558857147054971673720876347783084339220280796770906999857579<99>

24438968728948515381731252918147334447671<41>
10128889662287420283252120128975774558249253186011221512749<59>

Number: 68889_126
N=247539617715612152894729759876354338742558857147054971673720876347783084339220280796770906999857579
  ( 99 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=24438968728948515381731252918147334447671 (pp41)
 r2=10128889662287420283252120128975774558249253186011221512749 (pp59)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 4.21 hours.
Scaled time: 1.98 units (timescale=0.470).
Factorization parameters were as follows:
name: 68889_126
n: 247539617715612152894729759876354338742558857147054971673720876347783084339220280796770906999857579
m: 20000000000000000000000000
deg: 5
c5: 155
c0: 8
skew: 0.55
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 840001)
Primes: RFBsize:77067, AFBsize:76704, largePrimes:2697581 encountered
Relations: rels:2682573, finalFF:279654
Max relations in full relation-set: 28
Initial matrix: 153838 x 279654 with sparse part having weight 21371172.
Pruned matrix : 119190 x 120023 with weight 6566874.
Total sieving time: 3.90 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,50000
total time: 4.21 hours.
 --------- CPU info (if available) ----------

Pentium 4  2.4GHz, Windows XP and Cygwin)

1765190909754349106047805048835653555356153326809056765104083714705035874397650631344173890587328534974454782088558755027<121>

221839062921055719484107373612660853699302142746356139<54>
7957078823320286782689262399302302972074139970168996053248181231993<67>

Number: n
N=1765190909754349106047805048835653555356153326809056765104083714705035874397650631344173890587328534974454782088558755027
  ( 121 digits)
SNFS difficulty: 131 digits.
Divisors found:

Thu Oct 29 22:10:41 2009  prp54 factor: 221839062921055719484107373612660853699302142746356139
Thu Oct 29 22:10:41 2009  prp67 factor: 7957078823320286782689262399302302972074139970168996053248181231993
Thu Oct 29 22:10:41 2009  elapsed time 00:08:18 (Msieve 1.43 - dependency 2)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.84 hours.
Scaled time: 3.36 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_6_8_127_9
n: 1765190909754349106047805048835653555356153326809056765104083714705035874397650631344173890587328534974454782088558755027
m: 100000000000000000000000000
deg: 5
c5: 31
c0: 50
skew: 1.10
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
qintsize: 10000
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [545000, 885331)
Primes: RFBsize:84976, AFBsize:85149, largePrimes:2650390 encountered
Relations: rels:2480173, finalFF:181106
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 234173 hash collisions in 2642513 relations
Msieve: matrix is 158517 x 158742 (42.6 MB)

Total sieving time: 1.79 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time: 1.84 hours.
 --------- CPU info (if available) ----------

50896096883245111904087491066818110988048098986769458408393871306471379148082206150305806791176779739197015576231597671<119>

172646517491005006256239973571080363<36>
294799441210256853477729159395431700808480725079520017412819392555476174232512350517<84>

Number: 68889_130
N=50896096883245111904087491066818110988048098986769458408393871306471379148082206150305806791176779739197015576231597671
  ( 119 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=172646517491005006256239973571080363 (pp36)
 r2=294799441210256853477729159395431700808480725079520017412819392555476174232512350517 (pp84)
Version: Msieve v. 1.42
Total time: 0.11 hours.
Scaled time: 0.11 units (timescale=1.025).
Factorization parameters were as follows:
name: 68889_130
n: 50896096883245111904087491066818110988048098986769458408393871306471379148082206150305806791176779739197015576231597671
m: 200000000000000000000000000
deg: 5
c5: 31
c0: 16
skew: 0.88
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 875001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165872 x 166120
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 0.11 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.88 BogoMIPS (lpj=2393941)
Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393880)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393886)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Total of 4 processors activated (19151.19 BogoMIPS).

total time: 1 hour 17 min

30001684859297133695920447411646111254476339752905477978706189100135479668056060999868132384792574078543187957473551055021294721451<131>

484214506163729990618092275284042969<36>
61959492079224298660493435009803532533981674214668390763156707898945653153181452537824772870179<95>

Number: n
N=30001684859297133695920447411646111254476339752905477978706189100135479668056060999868132384792574078543187957473551055021294721451
  ( 131 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=484214506163729990618092275284042969 (pp36)
 r2=61959492079224298660493435009803532533981674214668390763156707898945653153181452537824772870179 (pp95)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.64 hours.
Scaled time: 8.46 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_6_8_138_9
n: 30001684859297133695920447411646111254476339752905477978706189100135479668056060999868132384792574078543187957473551055021294721451
m: 10000000000000000000000000000
deg: 5
c5: 31
c0: 5
skew: 0.69
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
qintsize: 10000
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1540001)
Primes: RFBsize:121127, AFBsize:121136, largePrimes:3480094 encountered
Relations: rels:3388656, finalFF:277961
Max relations in full relation-set: 48
Initial matrix: 242328 x 277961 with sparse part having weight 26767212.
Pruned matrix : 230728 x 232003 with weight 17588153.
Total sieving time: 4.07 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.43 hours.
Total square root time: 0.07 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 4.64 hours.
 --------- CPU info (if available) ----------

4410106861658074670653860173486054163974219973878488208662754414022560015885316271061355644080305761472103499186111823892689281<127>

10098947505940741188253378705758426820362239035432097<53>
436689750002543719167336765795082713550194093289913311609891257071910504673<75>

Number: 68889_140
N=4410106861658074670653860173486054163974219973878488208662754414022560015885316271061355644080305761472103499186111823892689281
  ( 127 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=10098947505940741188253378705758426820362239035432097 (pp53)
 r2=436689750002543719167336765795082713550194093289913311609891257071910504673 (pp75)
Version: Msieve-1.40
Total time: 5.09 hours.
Scaled time: 5.12 units (timescale=1.006).
Factorization parameters were as follows:
n: 4410106861658074670653860173486054163974219973878488208662754414022560015885316271061355644080305761472103499186111823892689281
m: 20000000000000000000000000000
deg: 5
c5: 31
c0: 16
skew: 0.88
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [845000, 1545001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 219150 x 219377
Total sieving time: 4.88 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 5.09 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<142>

568661993488414430953673552639897<33>
107136670558984692997845953645695662813997409001629<51>
113072457467357463380646477639339817944564509365675623543253<60>

Number: 142-2
N=6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
  ( 142 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=568661993488414430953673552639897 (pp33)
 r2=107136670558984692997845953645695662813997409001629 (pp51)
 r3=113072457467357463380646477639339817944564509365675623543253 (pp60)
Version: Msieve-1.40
Total time: 6.00 hours.
Scaled time: 11.17 units (timescale=1.860).
Factorization parameters were as follows:
n: 6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 20000000000000000000000000000
deg: 5
c5: 155
c0: 8
skew: 0.55
type: snfs
lss: 1
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [870000, 1870001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 261982 x 262208
Total sieving time: 5.74 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1740000,1740000,26,26,48,48,2.3,2.3,100000
total time: 6.00 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

141662154041598406072279686789547160930491864708073143368954510454438480924733983608317853315694110281702047932075282010505848133601120501941<141>

4257496835970046328258574077329808655160261495634343872354609<61>
33273578231402606240782600493794607850183398235273622964448002794566112533642949<80>

Number: s141
N=141662154041598406072279686789547160930491864708073143368954510454438480924733983608317853315694110281702047932075282010505848133601120501941
  ( 141 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=4257496835970046328258574077329808655160261495634343872354609 (pp61)
 r2=33273578231402606240782600493794607850183398235273622964448002794566112533642949 (pp80)
Version: Msieve-1.40
Total time: 6.07 hours.
Scaled time: 10.97 units (timescale=1.808).
Factorization parameters were as follows:
n: 141662154041598406072279686789547160930491864708073143368954510454438480924733983608317853315694110281702047932075282010505848133601120501941
m: 100000000000000000000000000000
deg: 5
c5: 31
c0: 5
skew: 0.69
type: snfs
lss: 1
rlim: 1930000
alim: 1930000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1930000/1930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [965000, 2065001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 295233 x 295458
Total sieving time: 5.87 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1930000,1930000,26,26,49,49,2.3,2.3,100000
total time: 6.07 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

174928537325013691471989457029058752780352462735033025143487876074013410863034271275317125323398497713637324127605363<117>

5929006956554283372161105073815933362297298798067922111<55>
29503850915816027505202414387618333019676491925964734615718733<62>

Number: 68889_145
N=174928537325013691471989457029058752780352462735033025143487876074013410863034271275317125323398497713637324127605363
  ( 117 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=5929006956554283372161105073815933362297298798067922111
 r2=29503850915816027505202414387618333019676491925964734615718733
Version: 
Total time: 4.05 hours.
Scaled time: 9.67 units (timescale=2.386).
Factorization parameters were as follows:
n: 174928537325013691471989457029058752780352462735033025143487876074013410863034271275317125323398497713637324127605363
m: 100000000000000000000000000000
deg: 5
c5: 62
c0: 1
skew: 0.44
type: snfs
lss: 1
rlim: 2250000
alim: 2250000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2250000/2250000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1125000, 2025001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4642203
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 287889 x 288137
Total sieving time: 3.57 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2250000,2250000,26,26,49,49,2.3,2.3,75000
total time: 4.05 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

656276453305026685950132845745911740356925604415194223087379708869983185964276540678527362642992488434795315111654799315241895464139017<135>

37581034560382870644756808555485568620305131<44>
17462969313698974114395124223099743671734245518631937018327064999870014820154330993298790107<92>

Number: 68889_146
N=656276453305026685950132845745911740356925604415194223087379708869983185964276540678527362642992488434795315111654799315241895464139017
  ( 135 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=37581034560382870644756808555485568620305131
 r2=17462969313698974114395124223099743671734245518631937018327064999870014820154330993298790107
Version: 
Total time: 5.79 hours.
Scaled time: 13.84 units (timescale=2.390).
Factorization parameters were as follows:
n: 656276453305026685950132845745911740356925604415194223087379708869983185964276540678527362642992488434795315111654799315241895464139017
m: 100000000000000000000000000000
deg: 5
c5: 620
c0: 1
skew: 0.28
type: snfs
lss: 1
rlim: 2550000
alim: 2550000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2550000/2550000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1275000, 2475001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6418793
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 368564 x 368812
Total sieving time: 4.91 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2550000,2550000,27,27,49,49,2.3,2.3,75000
total time: 5.79 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<148>

14609058570850068072790171345251209857<38>
54119127478220719186968454440445122879267586001<47>
8713169520734770932259156884452356918743245463266750664655868777<64>

N=6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
  ( 148 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=14609058570850068072790171345251209857 (pp38)
 r2=54119127478220719186968454440445122879267586001 (pp47)
 r3=8713169520734770932259156884452356918743245463266750664655868777 (pp64)
Version: Msieve-1.40
Total time: 14.47 hours.
Scaled time: 13.52 units (timescale=0.934).
Factorization parameters were as follows:
n: 6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 500000000000000000000000000000
deg: 5
c5: 248
c0: 125
skew: 0.87
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, 1750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 304330 x 304556
Total sieving time: 14.04 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 14.47 hours.

GGNFS/msieve

892894921774842591947278084980579648441470220219533682231568136751789747957843249021085849<90>

1154296887283017820556565817700236598461<40>
773540093204736296456243349622971513303636130557709<51>

Fri Oct 30 07:07:22 2009  Msieve v. 1.42
Fri Oct 30 07:07:22 2009  random seeds: dc8593b8 2e6a889f
Fri Oct 30 07:07:22 2009  factoring 892894921774842591947278084980579648441470220219533682231568136751789747957843249021085849 (90 digits)
Fri Oct 30 07:07:23 2009  searching for 15-digit factors
Fri Oct 30 07:07:24 2009  commencing quadratic sieve (90-digit input)
Fri Oct 30 07:07:24 2009  using multiplier of 1
Fri Oct 30 07:07:24 2009  using 32kb Intel Core sieve core
Fri Oct 30 07:07:24 2009  sieve interval: 36 blocks of size 32768
Fri Oct 30 07:07:24 2009  processing polynomials in batches of 6
Fri Oct 30 07:07:24 2009  using a sieve bound of 1606249 (61176 primes)
Fri Oct 30 07:07:24 2009  using large prime bound of 134924916 (27 bits)
Fri Oct 30 07:07:24 2009  using double large prime bound of 430690990940364 (42-49 bits)
Fri Oct 30 07:07:24 2009  using trial factoring cutoff of 49 bits
Fri Oct 30 07:07:24 2009  polynomial 'A' values have 11 factors
Fri Oct 30 08:13:01 2009  61413 relations (16479 full + 44934 combined from 660424 partial), need 61272
Fri Oct 30 08:13:02 2009  begin with 676903 relations
Fri Oct 30 08:13:03 2009  reduce to 149572 relations in 11 passes
Fri Oct 30 08:13:03 2009  attempting to read 149572 relations
Fri Oct 30 08:13:05 2009  recovered 149572 relations
Fri Oct 30 08:13:05 2009  recovered 125294 polynomials
Fri Oct 30 08:13:05 2009  attempting to build 61413 cycles
Fri Oct 30 08:13:05 2009  found 61413 cycles in 5 passes
Fri Oct 30 08:13:05 2009  distribution of cycle lengths:
Fri Oct 30 08:13:05 2009     length 1 : 16479
Fri Oct 30 08:13:05 2009     length 2 : 11841
Fri Oct 30 08:13:05 2009     length 3 : 10776
Fri Oct 30 08:13:05 2009     length 4 : 8279
Fri Oct 30 08:13:05 2009     length 5 : 5761
Fri Oct 30 08:13:05 2009     length 6 : 3579
Fri Oct 30 08:13:05 2009     length 7 : 2062
Fri Oct 30 08:13:05 2009     length 9+: 2636
Fri Oct 30 08:13:05 2009  largest cycle: 19 relations
Fri Oct 30 08:13:05 2009  matrix is 61176 x 61413 (15.1 MB) with weight 3709126 (60.40/col)
Fri Oct 30 08:13:05 2009  sparse part has weight 3709126 (60.40/col)
Fri Oct 30 08:13:06 2009  filtering completed in 3 passes
Fri Oct 30 08:13:06 2009  matrix is 57171 x 57235 (14.2 MB) with weight 3482985 (60.85/col)
Fri Oct 30 08:13:06 2009  sparse part has weight 3482985 (60.85/col)
Fri Oct 30 08:13:06 2009  saving the first 48 matrix rows for later
Fri Oct 30 08:13:06 2009  matrix is 57123 x 57235 (10.6 MB) with weight 2895121 (50.58/col)
Fri Oct 30 08:13:06 2009  sparse part has weight 2423000 (42.33/col)
Fri Oct 30 08:13:06 2009  matrix includes 64 packed rows
Fri Oct 30 08:13:06 2009  using block size 22894 for processor cache size 1024 kB
Fri Oct 30 08:13:07 2009  commencing Lanczos iteration
Fri Oct 30 08:13:07 2009  memory use: 9.9 MB
Fri Oct 30 08:13:29 2009  lanczos halted after 905 iterations (dim = 57121)
Fri Oct 30 08:13:30 2009  recovered 15 nontrivial dependencies
Fri Oct 30 08:13:30 2009  prp40 factor: 1154296887283017820556565817700236598461
Fri Oct 30 08:13:30 2009  prp51 factor: 773540093204736296456243349622971513303636130557709
Fri Oct 30 08:13:30 2009  elapsed time 01:06:08

23170333865059911320172901781817463495296432410996862069873982088491668836825268806120304124323254449187510933228247007723728437099297224723<140>

2159958576333471630827291022074668095705599543<46>
10727212141443721091591595069382603712040863221467467516173427204992746524141860104161935808261<95>

Number: 140-1
N=23170333865059911320172901781817463495296432410996862069873982088491668836825268806120304124323254449187510933228247007723728437099297224723
  ( 140 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=2159958576333471630827291022074668095705599543 (pp46)
 r2=10727212141443721091591595069382603712040863221467467516173427204992746524141860104161935808261 (pp95)
Version: Msieve-1.40
Total time: 11.72 hours.
Scaled time: 21.56 units (timescale=1.839).
Factorization parameters were as follows:
n: 23170333865059911320172901781817463495296432410996862069873982088491668836825268806120304124323254449187510933228247007723728437099297224723
m: 1000000000000000000000000000000
deg: 5
c5: 31
c0: 5
skew: 0.69
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor 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: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 347406 x 347631
Total sieving time: 11.26 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.25 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: 11.72 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

76019140815104174106040378633604961828787051133016498888962165752162413165265840336691286063511280469440153338034833994237<122>

12191688122843586596710384365301<32>
6235325251854743704987134113434328800026549545253723826064948248579721224281529557691548137<91>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 76019140815104174106040378633604961828787051133016498888962165752162413165265840336691286063511280469440153338034833994237 (122 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5303952899
Step 1 took 4180ms
Step 2 took 4072ms
********** Factor found in step 2: 12191688122843586596710384365301
Found probable prime factor of 32 digits: 12191688122843586596710384365301
Probable prime cofactor 6235325251854743704987134113434328800026549545253723826064948248579721224281529557691548137 has 91 digits

Core 2 Quad Q6600

10059728808336764499325527072746644513434507160480820155599506547755317583853407366482035947677455606697381403<110>

5493701927661664353508380996233<31>
1831138445587014365066380042150258971520737748665221421217743758160394976207491<79>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=932480872
Step 1 took 4556ms
Step 2 took 2892ms
********** Factor found in step 2: 5493701927661664353508380996233
Found probable prime factor of 31 digits: 5493701927661664353508380996233
Probable prime cofactor has 79 digits

293584658860942089330373628337866772843823008072004048956554585386295704757683810268428307004607294908440933<108>

2047286436358399332746767528784913403<37>
143401848245111395152462431599114639891263907588462914138515107713364511<72>

Number: 68889_152
N=293584658860942089330373628337866772843823008072004048956554585386295704757683810268428307004607294908440933
  ( 108 digits)
Divisors found:
 r1=2047286436358399332746767528784913403 (pp37)
 r2=143401848245111395152462431599114639891263907588462914138515107713364511 (pp72)
Version: Msieve v. 1.42
Total time: 1.57 hours.
Scaled time: 1.25 units (timescale=0.796).
Factorization parameters were as follows:
name: 68889_152
n: 293584658860942089330373628337866772843823008072004048956554585386295704757683810268428307004607294908440933
skew: 20292.48
# norm 1.63e+15
c5: 71820
c4: 1110610932
c3: -122056751817017
c2: -298460222123537630
c1: 10976673227134073062274
c0: -43347975164602651352375725
# alpha -6.61
Y1: 346267168987
Y0: -332886508791170821074
# Murphy_E 1.34e-09
# M 172869377536465402217927941292900691467983588265290012264119551228617920336609439842646379546531619125352462
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 309705 x 309929
Polynomial selection time: 1.10 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 1.57 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 9 hours 50 min.

9318966491408907897331239777556947590723819863258001682224484236870644315607530517<82>

18005674193602941951875933406071629901<38>
517557209533412051293341030536534190408042217<45>

Msieve v. 1.44
Wed Dec 30 20:11:47 2009
random seeds: 5d395059 e30359e1
factoring 9318966491408907897331239777556947590723819863258001682224484236870644315607530517 (82 digits)
searching for 15-digit factors
commencing quadratic sieve (82-digit input)
using multiplier of 5
using 32kb Intel Core sieve core
sieve interval: 12 blocks of size 32768
processing polynomials in batches of 17
using a sieve bound of 1353259 (52059 primes)
using large prime bound of 124499828 (26 bits)
using trial factoring cutoff of 27 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
52349 relations (26870 full + 25479 combined from 277807 partial), need 52155
52349 relations (26870 full + 25479 combined from 277807 partial), need 52155
sieving complete, commencing postprocessing
begin with 304677 relations
reduce to 74669 relations in 2 passes
attempting to read 74669 relations
recovered 74669 relations
recovered 66414 polynomials
attempting to build 52349 cycles
found 52349 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 26870
   length 2 : 25479
largest cycle: 2 relations
matrix is 52059 x 52349 (8.0 MB) with weight 1669349 (31.89/col)
sparse part has weight 1669349 (31.89/col)
filtering completed in 3 passes
matrix is 37279 x 37343 (6.2 MB) with weight 1320299 (35.36/col)
sparse part has weight 1320299 (35.36/col)
saving the first 48 matrix rows for later
matrix is 37231 x 37343 (4.2 MB) with weight 999801 (26.77/col)
sparse part has weight 729943 (19.55/col)
matrix includes 64 packed rows
using block size 14937 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 4.4 MB
lanczos halted after 590 iterations (dim = 37229)
recovered 17 nontrivial dependencies
prp38 factor: 18005674193602941951875933406071629901
prp45 factor: 517557209533412051293341030536534190408042217
elapsed time 00:24:53

msieve 1.44 SVN

Core 2 Duo T7200, 2 GB RAM

239351197657415781482239426940729964789508573000127126369981591962648550714986423189363201892078938488247798287473064786694266176058479519972679991039<150>

307751512093900182523103591179516105887904485683<48>
777741743749371700205770435793158260169789376483035661599247350889095620550394856646401246531737334533<102>

N=239351197657415781482239426940729964789508573000127126369981591962648550714986423189363201892078938488247798287473064786694266176058479519972679991039
  ( 150 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=307751512093900182523103591179516105887904485683 (pp48)
 r2=777741743749371700205770435793158260169789376483035661599247350889095620550394856646401246531737334533 (pp102)
Version: Msieve-1.40
Total time: 18.09 hours.
Scaled time: 16.94 units (timescale=0.936).
Factorization parameters were as follows:
n: 239351197657415781482239426940729964789508573000127126369981591962648550714986423189363201892078938488247798287473064786694266176058479519972679991039
m: 10000000000000000000000000000000
deg: 5
c5: 62
c0: 1
skew: 0.44
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 508570 x 508795
Total sieving time: 17.35 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 18.09 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

175940167876504896511304657002191611494640990717813672697925297094734825241073949440738976534486071255262491006664200683199872116342331<135>

3591192411773887177750066177591277<34>
48992130663808788824021380783744673823751813871645838891644996896011597575479103140844753977049090503<101>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2890323597
Step 1 took 5068ms
Step 2 took 3293ms
********** Factor found in step 2: 3591192411773887177750066177591277
Found probable prime factor of 34 digits: 3591192411773887177750066177591277
Probable prime cofactor has 101 digits

4054918378142351595193343642820959370386001662799123941828722710944923697594867266411112681488793695668052489639436667907<121>

3319788860369352872404102738800668772432910172315087<52>
1221438636218331585834875340346720758794325326050050023941628269694861<70>

Number: 68889_159
N=4054918378142351595193343642820959370386001662799123941828722710944923697594867266411112681488793695668052489639436667907
  ( 121 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=3319788860369352872404102738800668772432910172315087 (pp52)
 r2=1221438636218331585834875340346720758794325326050050023941628269694861 (pp70)
Version: Msieve-1.40
Total time: 36.50 hours.
Scaled time: 74.65 units (timescale=2.045).
Factorization parameters were as follows:
name: 68889_159
n: 4054918378142351595193343642820959370386001662799123941828722710944923697594867266411112681488793695668052489639436667907
m: 20000000000000000000000000000000
deg: 5
c5: 19375
c0: 1
skew: 0.14
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 628475 x 628723
Total sieving time: 34.68 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.49 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 36.50 hours.
 --------- CPU info (if available) ----------

306727044802127814424375616589250916885422921254872033030512673166461055305588714882275327983387892370545873366367767<117>

16556159061948455796618403686337<32>
18526461581725696646250632430189163201851631153233661011208358341151186188524227730391<86>

Number: 68889_160
N=306727044802127814424375616589250916885422921254872033030512673166461055305588714882275327983387892370545873366367767
  ( 117 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=16556159061948455796618403686337 (pp32)
 r2=18526461581725696646250632430189163201851631153233661011208358341151186188524227730391 (pp86)
Version: Msieve v. 1.42
Total time: 1.03 hours.
Scaled time: 0.82 units (timescale=0.792).
Factorization parameters were as follows:
name: 68889_160
n: 306727044802127814424375616589250916885422921254872033030512673166461055305588714882275327983387892370545873366367767
m: 100000000000000000000000000000000
deg: 5
c5: 62
c0: 1
skew: 0.44
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 539554 x 539778
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.87 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 1.03 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 19 hourd 27 min.

16539173901826965897585327535919936254397014826120236901180260695519977407606420778122284496246921019358462726211129451149528394299094957771243<143>

229277065428152667545393143151558398679295264580138699<54>
72136189770841945401903354365295300858708682566494112260440581982604466005105846653154657<89>

Number: 68889_161
N=16539173901826965897585327535919936254397014826120236901180260695519977407606420778122284496246921019358462726211129451149528394299094957771243
  ( 143 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=229277065428152667545393143151558398679295264580138699 (pp54)
 r2=72136189770841945401903354365295300858708682566494112260440581982604466005105846653154657 (pp89)
Version: Msieve v. 1.42
Total time: 1.77 hours.
Scaled time: 1.40 units (timescale=0.795).
Factorization parameters were as follows:
name: 68889_161
n: 16539173901826965897585327535919936254397014826120236901180260695519977407606420778122284496246921019358462726211129451149528394299094957771243
m: 100000000000000000000000000000000
deg: 5
c5: 620
c0: 1
skew: 0.28
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 736056 x 736282
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.55 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 1.77 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.30 BogoMIPS (lpj=1860651)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860572)
Total of 2 processors activated (7442.44 BogoMIPS).

Total time: 24 hours 46 min.

366423310731740288249166729427607003398651495207139748342182804714702993387271576455857355442360530934503499173923878928278119580329089430480836129691987<153>

4574932102448503776738276586531<31>
80093715606321353511254833907906321101627948022995314816785837005521295579182426767932811900706911611508850538489919996177<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=258849838
Step 1 took 9068ms
Step 2 took 5289ms
********** Factor found in step 2: 4574932102448503776738276586531
Found probable prime factor of 31 digits: 4574932102448503776738276586531
Probable prime cofactor has 122 digits

9095288529117400483498722580072614537470423851001887365380412832386101409955438959060066683090380036453697735824768614095190247935893623449271880950215487<154>

521483570100224510383352162072882440892494875084805613<54>
17441179455317004161955466957426397054551514294451788913467649233897745421755225210506617140729284699<101>

N=9095288529117400483498722580072614537470423851001887365380412832386101409955438959060066683090380036453697735824768614095190247935893623449271880950215487
  ( 154 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=521483570100224510383352162072882440892494875084805613 (pp54)
 r2=17441179455317004161955466957426397054551514294451788913467649233897745421755225210506617140729284699 (pp101)
Version: Msieve-1.40
Total time: 30.42 hours.
Scaled time: 56.94 units (timescale=1.872).
Factorization parameters were as follows:
n: 9095288529117400483498722580072614537470423851001887365380412832386101409955438959060066683090380036453697735824768614095190247935893623449271880950215487
m: 1000000000000000000000000000000000
deg: 5
c5: 62
c0: 1
skew: 0.44
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor 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, 3700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 717148 x 717375
Total sieving time: 29.48 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.65 hours.
Time per square root: 0.20 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: 30.42 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

2634764965321371273171419621642056305786720324618391271412110758913286698302420047195854717187149862042776756177671145973673<124>

376086460207166299103907106949428103083327376659<48>
7005742679143560472394984002006753697421168708337655022037043987570498747347<76>

Number: 68889_168
N=2634764965321371273171419621642056305786720324618391271412110758913286698302420047195854717187149862042776756177671145973673
  ( 124 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=376086460207166299103907106949428103083327376659
 r2=7005742679143560472394984002006753697421168708337655022037043987570498747347
Version: 
Total time: 56.26 hours.
Scaled time: 133.83 units (timescale=2.379).
Factorization parameters were as follows:
n: 2634764965321371273171419621642056305786720324618391271412110758913286698302420047195854717187149862042776756177671145973673
m: 10000000000000000000000000000000000
deg: 5
c5: 31
c0: 50
skew: 0.11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11546825
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1043972 x 1044220
Total sieving time: 51.04 hours.
Total relation processing time: 2.51 hours.
Matrix solve time: 2.57 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 56.26 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

6471759738916994284767148030766741581729238374193197470639598463793058878313971785014557325262880339124320512984042385781734089933056805459222589823906031573087<160>

1132246658442052086249310300011175812648265977323<49>
5715856779672020785607712412512635373068953262320874474059217265128852249119318167249014571590732236340019928669<112>

Number: 68889_169
N=6471759738916994284767148030766741581729238374193197470639598463793058878313971785014557325262880339124320512984042385781734089933056805459222589823906031573087
  ( 160 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=1132246658442052086249310300011175812648265977323
 r2=5715856779672020785607712412512635373068953262320874474059217265128852249119318167249014571590732236340019928669
Version: 
Total time: 81.71 hours.
Scaled time: 164.24 units (timescale=2.010).
Factorization parameters were as follows:
n: 6471759738916994284767148030766741581729238374193197470639598463793058878313971785014557325262880339124320512984042385781734089933056805459222589823906031573087
m: 2000000000000000000000000000000000
deg: 5
c5: 19375
c0: 1
skew: 0.14
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, 5350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 744983 x 745231
Total sieving time: 81.71 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 81.71 hours.
 --------- CPU info (if available) ----------

20594958510781779504537841907134260582928566040465993369104063197935584880082011178741800418217149241247047677122181138303202220262608271<137>

53216027439132375430995215492636147<35>
387006687681412470632539132793733289263031398892586524902106088059519115017667158339741992322196507893<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=406518593
Step 1 took 42569ms
********** Factor found in step 1: 53216027439132375430995215492636147
Found probable prime factor of 35 digits: 53216027439132375430995215492636147
Probable prime cofactor 387006687681412470632539132793733289263031398892586524902106088059519115017667158339741992322196507893 has 102 digits

GMP-ECM 6.2.1

41885110218269013743251242933886894553065623203921966750213480259235140257489183725742761044159299638473910322682345152493013336915444070595188357745853<152>

51731867207590248363764618349610394268656931225806836823599340188387<68>
809657808216972881450973750171735866842379212534385190588465448602888403011520279519<84>

Number: n
N=41885110218269013743251242933886894553065623203921966750213480259235140257489183725742761044159299638473910322682345152493013336915444070595188357745853
  ( 152 digits)
SNFS difficulty: 174 digits.
Divisors found:

Wed Jun 16 23:29:25 2010  prp68 factor: 51731867207590248363764618349610394268656931225806836823599340188387
Wed Jun 16 23:29:25 2010  prp84 factor: 809657808216972881450973750171735866842379212534385190588465448602888403011520279519
Wed Jun 16 23:29:25 2010  elapsed time 02:37:47 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.878).
Factorization parameters were as follows:
name: KA_6_8_172_9
n: 41885110218269013743251242933886894553065623203921966750213480259235140257489183725742761044159299638473910322682345152493013336915444070595188357745853
m: 10000000000000000000000000000000000
deg: 5
c5: 62000
c0: 1
skew: 0.11
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1343168 hash collisions in 11105377 relations
Msieve: matrix is 1096667 x 1096895 (310.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034148k/2097088k available (3972k kernel code, 388k absent, 62552k reserved, 2498k data, 1292k init)
VBoxDrv: dbg - g_abExecMemory=ffffffffa02c4440
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.43 BogoMIPS (lpj=3013215)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.39 BogoMIPS).

8506852667322605511522308593778220976465640611810156036962012834803786513651600772594725316671665981005764390770485935550283<124>

162215110648549389956882405770800727596818702289519241<54>
52441801712007636051659829247711284124133796479273577819813583068954163<71>

N = 8506852667322605511522308593778220976465640611810156036962012834803786513651600772594725316671665981005764390770485935550283 (124 digits)
Divisors found:
r1=162215110648549389956882405770800727596818702289519241 (pp54)
r2=52441801712007636051659829247711284124133796479273577819813583068954163 (pp71)
Version: Msieve v. 1.48
Total time: 23.84 hours.
Factorization parameters were as follows:
n: 8506852667322605511522308593778220976465640611810156036962012834803786513651600772594725316671665981005764390770485935550283
Y0: -1324360933078021208044148
Y1: 13377159904901
c0: -236237366163004768592340224985
c1: -3190186142091441267906510
c2: -33826465245513697971
c3: -363772576832450
c4: 3146791828
c5: 2088
skew: 206423.48 
type: gnfs
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11148993
Relations: 1782146 relations
Pruned matrix : 1008741 x 1008983
Polynomial selection time: 0.00 hours.
Total sieving time: 22.46 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 1.20 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 23.84 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

2916435577133554267133927042205027896759400020770172748309728740163427772143202478465561603204592554258980253642300325570517375532848163041<139>

992406222413648305174340403977<30>
2938751804720088266217488864767251391489762075217540818048669967383822092013634121211026480988278875386033433<109>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2119590681
Step 1 took 6057ms
Step 2 took 3432ms
********** Factor found in step 2: 992406222413648305174340403977
Found probable prime factor of 30 digits: 992406222413648305174340403977
Probable prime cofactor has 109 digits

20505370910629485120171972217326920336990001424192690566229776092459917278589500142695405062272484884758120490382622070457433719235089962598587800138312531789443<161>

4312717682524591753110449217010003193750937828460470478222807<61>
4754628617059391869221750537857342485532262540840535818285605373163075979429605631989516981154301749<100>

N=20505370910629485120171972217326920336990001424192690566229776092459917278589500142695405062272484884758120490382622070457433719235089962598587800138312531789443
  ( 161 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=4312717682524591753110449217010003193750937828460470478222807 (pp61)
 r2=4754628617059391869221750537857342485532262540840535818285605373163075979429605631989516981154301749 (pp100)
Version: Msieve v. 1.47
Total time:
Scaled time: 4.20 units (timescale=1.741).
Factorization parameters were as follows:
n: 20505370910629485120171972217326920336990001424192690566229776092459917278589500142695405062272484884758120490382622070457433719235089962598587800138312531789443
m: 200000000000000000000000000000000000
deg: 5
c5: 19375
c0: 1
skew: 0.14
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 160000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 9520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1475251 x 1475481
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time:

2927609931950584916702830006912517286735722035384881939027028727223087579830910534731775555298686768547604661150105448501137142486782871664821<142>

60754401421461808494445467532665228382708964137106428991<56>
48187618731379542020911245913600820966239718754574221236877154939111393923563904837131<86>

01/21/14 13:03:26 v1.34.3, nfs: commencing nfs on c142: 2927609931950584916702830006912517286735722035384881939027028727223087579830910534731775555298686768547604661150105448501137142486782871664821
01/21/14 13:03:26 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/21/14 13:03:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/21/14 13:08:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
[61 lines snipped]
01/21/14 18:21:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/21/14 18:26:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/21/14 21:11:09 v1.34.3, 
01/21/14 21:11:09 v1.34.3, ****************************
01/21/14 21:11:09 v1.34.3, Starting factorization of 2927609931950584916702830006912517286735722035384881939027028727223087579830910534731775555298686768547604661150105448501137142486782871664821
01/21/14 21:11:09 v1.34.3, using pretesting plan: none
01/21/14 21:11:09 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/21/14 21:11:09 v1.34.3, ****************************
01/21/14 21:11:09 v1.34.3, nfs: previous data file found - commencing search for last special-q
01/21/14 21:11:16 v1.34.3, nfs: parsing special-q from .dat file
01/21/14 21:11:16 v1.34.3, nfs: commencing nfs on c142: 2927609931950584916702830006912517286735722035384881939027028727223087579830910534731775555298686768547604661150105448501137142486782871664821
01/21/14 21:11:16 v1.34.3, nfs: resuming with filtering
01/21/14 21:11:16 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/21/14 21:18:04 v1.34.3, nfs: commencing lattice sieving with 6 threads
[78 lines snipped]
01/22/14 06:43:40 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/22/14 06:50:50 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/22/14 06:57:51 v1.34.3, nfs: commencing msieve filtering
01/22/14 07:02:48 v1.34.3, nfs: commencing msieve linear algebra
01/22/14 07:40:35 v1.34.3, nfs: commencing msieve sqrt
01/22/14 07:44:16 v1.34.3, prp86 = 48187618731379542020911245913600820966239718754574221236877154939111393923563904837131
01/22/14 07:44:16 v1.34.3, prp56 = 60754401421461808494445467532665228382708964137106428991
01/22/14 07:44:16 v1.34.3, NFS elapsed time = 37987.5700 seconds.
01/22/14 07:44:16 v1.34.3, 
01/22/14 07:44:16 v1.34.3, 
01/22/14 07:44:16 v1.34.3, Total factoring time = 37987.5713 seconds
--
Wed Jan 22 06:57:51 2014  
Wed Jan 22 06:57:51 2014  commencing relation filtering
Wed Jan 22 06:57:51 2014  estimated available RAM is 15988.7 MB
Wed Jan 22 06:57:51 2014  commencing duplicate removal, pass 1
Wed Jan 22 06:59:10 2014  found 3095013 hash collisions in 21111705 relations
Wed Jan 22 06:59:40 2014  added 704831 free relations
Wed Jan 22 06:59:40 2014  commencing duplicate removal, pass 2
Wed Jan 22 07:00:00 2014  found 2207387 duplicates and 19609149 unique relations
Wed Jan 22 07:00:00 2014  memory use: 82.6 MB
Wed Jan 22 07:00:00 2014  reading ideals above 720000
Wed Jan 22 07:00:00 2014  commencing singleton removal, initial pass
Wed Jan 22 07:01:29 2014  memory use: 376.5 MB
Wed Jan 22 07:01:29 2014  reading all ideals from disk
Wed Jan 22 07:01:29 2014  memory use: 600.9 MB
Wed Jan 22 07:01:30 2014  keeping 20276079 ideals with weight <= 200, target excess is 116019
Wed Jan 22 07:01:31 2014  commencing in-memory singleton removal
Wed Jan 22 07:01:32 2014  begin with 19609149 relations and 20276079 unique ideals
Wed Jan 22 07:01:44 2014  reduce to 9416632 relations and 7975923 ideals in 14 passes
Wed Jan 22 07:01:44 2014  max relations containing the same ideal: 120
Wed Jan 22 07:01:48 2014  removing 1823930 relations and 1423930 ideals in 400000 cliques
Wed Jan 22 07:01:48 2014  commencing in-memory singleton removal
Wed Jan 22 07:01:49 2014  begin with 7592702 relations and 7975923 unique ideals
Wed Jan 22 07:01:54 2014  reduce to 7307356 relations and 6251266 ideals in 9 passes
Wed Jan 22 07:01:54 2014  max relations containing the same ideal: 100
Wed Jan 22 07:01:57 2014  removing 1458706 relations and 1058706 ideals in 400000 cliques
Wed Jan 22 07:01:58 2014  commencing in-memory singleton removal
Wed Jan 22 07:01:58 2014  begin with 5848650 relations and 6251266 unique ideals
Wed Jan 22 07:02:02 2014  reduce to 5627652 relations and 4959580 ideals in 8 passes
Wed Jan 22 07:02:02 2014  max relations containing the same ideal: 85
Wed Jan 22 07:02:04 2014  removing 1361015 relations and 961015 ideals in 400000 cliques
Wed Jan 22 07:02:04 2014  commencing in-memory singleton removal
Wed Jan 22 07:02:05 2014  begin with 4266637 relations and 4959580 unique ideals
Wed Jan 22 07:02:08 2014  reduce to 4028935 relations and 3744816 ideals in 11 passes
Wed Jan 22 07:02:08 2014  max relations containing the same ideal: 66
Wed Jan 22 07:02:10 2014  removing 626325 relations and 476789 ideals in 149536 cliques
Wed Jan 22 07:02:10 2014  commencing in-memory singleton removal
Wed Jan 22 07:02:10 2014  begin with 3402610 relations and 3744816 unique ideals
Wed Jan 22 07:02:12 2014  reduce to 3335763 relations and 3198829 ideals in 8 passes
Wed Jan 22 07:02:12 2014  max relations containing the same ideal: 58
Wed Jan 22 07:02:14 2014  relations with 0 large ideals: 2846
Wed Jan 22 07:02:14 2014  relations with 1 large ideals: 1686
Wed Jan 22 07:02:14 2014  relations with 2 large ideals: 26234
Wed Jan 22 07:02:14 2014  relations with 3 large ideals: 158759
Wed Jan 22 07:02:14 2014  relations with 4 large ideals: 496443
Wed Jan 22 07:02:14 2014  relations with 5 large ideals: 881475
Wed Jan 22 07:02:14 2014  relations with 6 large ideals: 945631
Wed Jan 22 07:02:14 2014  relations with 7+ large ideals: 822689
Wed Jan 22 07:02:14 2014  commencing 2-way merge
Wed Jan 22 07:02:16 2014  reduce to 2038877 relation sets and 1901943 unique ideals
Wed Jan 22 07:02:16 2014  commencing full merge
Wed Jan 22 07:02:38 2014  memory use: 240.9 MB
Wed Jan 22 07:02:38 2014  found 1070443 cycles, need 1050143
Wed Jan 22 07:02:39 2014  weight of 1050143 cycles is about 73653454 (70.14/cycle)
Wed Jan 22 07:02:39 2014  distribution of cycle lengths:
Wed Jan 22 07:02:39 2014  1 relations: 111663
Wed Jan 22 07:02:39 2014  2 relations: 112329
Wed Jan 22 07:02:39 2014  3 relations: 114468
Wed Jan 22 07:02:39 2014  4 relations: 111330
Wed Jan 22 07:02:39 2014  5 relations: 106425
Wed Jan 22 07:02:39 2014  6 relations: 98134
Wed Jan 22 07:02:39 2014  7 relations: 86782
Wed Jan 22 07:02:39 2014  8 relations: 74584
Wed Jan 22 07:02:39 2014  9 relations: 61462
Wed Jan 22 07:02:39 2014  10+ relations: 172966
Wed Jan 22 07:02:39 2014  heaviest cycle: 20 relations
Wed Jan 22 07:02:39 2014  commencing cycle optimization
Wed Jan 22 07:02:40 2014  start with 6066485 relations
Wed Jan 22 07:02:47 2014  pruned 164326 relations
Wed Jan 22 07:02:47 2014  memory use: 197.2 MB
Wed Jan 22 07:02:47 2014  distribution of cycle lengths:
Wed Jan 22 07:02:47 2014  1 relations: 111663
Wed Jan 22 07:02:47 2014  2 relations: 114682
Wed Jan 22 07:02:47 2014  3 relations: 118370
Wed Jan 22 07:02:47 2014  4 relations: 114620
Wed Jan 22 07:02:47 2014  5 relations: 109897
Wed Jan 22 07:02:47 2014  6 relations: 100519
Wed Jan 22 07:02:47 2014  7 relations: 89048
Wed Jan 22 07:02:47 2014  8 relations: 75053
Wed Jan 22 07:02:47 2014  9 relations: 61418
Wed Jan 22 07:02:47 2014  10+ relations: 154873
Wed Jan 22 07:02:47 2014  heaviest cycle: 19 relations
Wed Jan 22 07:02:48 2014  RelProcTime: 297
Wed Jan 22 07:02:48 2014  
Wed Jan 22 07:02:48 2014  commencing linear algebra
Wed Jan 22 07:02:49 2014  read 1050143 cycles
Wed Jan 22 07:02:50 2014  cycles contain 3232325 unique relations
Wed Jan 22 07:03:21 2014  read 3232325 relations
Wed Jan 22 07:03:24 2014  using 20 quadratic characters above 268434402
Wed Jan 22 07:03:38 2014  building initial matrix
Wed Jan 22 07:03:58 2014  memory use: 404.0 MB
Wed Jan 22 07:03:58 2014  read 1050143 cycles
Wed Jan 22 07:03:58 2014  matrix is 1050057 x 1050143 (313.7 MB) with weight 93593526 (89.12/col)
Wed Jan 22 07:03:58 2014  sparse part has weight 70677305 (67.30/col)
Wed Jan 22 07:04:04 2014  filtering completed in 2 passes
Wed Jan 22 07:04:04 2014  matrix is 1049531 x 1049675 (313.6 MB) with weight 93575582 (89.15/col)
Wed Jan 22 07:04:04 2014  sparse part has weight 70669461 (67.33/col)
Wed Jan 22 07:04:06 2014  matrix starts at (0, 0)
Wed Jan 22 07:04:06 2014  matrix is 1049531 x 1049675 (313.6 MB) with weight 93575582 (89.15/col)
Wed Jan 22 07:04:06 2014  sparse part has weight 70669461 (67.33/col)
Wed Jan 22 07:04:06 2014  saving the first 48 matrix rows for later
Wed Jan 22 07:04:07 2014  matrix includes 64 packed rows
Wed Jan 22 07:04:07 2014  matrix is 1049483 x 1049675 (297.1 MB) with weight 73957092 (70.46/col)
Wed Jan 22 07:04:07 2014  sparse part has weight 67393054 (64.20/col)
Wed Jan 22 07:04:07 2014  using block size 65536 for processor cache size 8192 kB
Wed Jan 22 07:04:10 2014  commencing Lanczos iteration (6 threads)
Wed Jan 22 07:04:10 2014  memory use: 274.1 MB
Wed Jan 22 07:04:13 2014  linear algebra at 0.1%, ETA 0h34m
Wed Jan 22 07:04:14 2014  checkpointing every 1830000 dimensions
Wed Jan 22 07:40:34 2014  lanczos halted after 16601 iterations (dim = 1049459)
Wed Jan 22 07:40:35 2014  recovered 31 nontrivial dependencies
Wed Jan 22 07:40:35 2014  BLanczosTime: 2267
Wed Jan 22 07:40:35 2014  
Wed Jan 22 07:40:35 2014  commencing square root phase
Wed Jan 22 07:40:35 2014  reading relations for dependency 1
Wed Jan 22 07:40:35 2014  read 524340 cycles
Wed Jan 22 07:40:35 2014  cycles contain 1613014 unique relations
Wed Jan 22 07:40:54 2014  read 1613014 relations
Wed Jan 22 07:40:58 2014  multiplying 1613014 relations
Wed Jan 22 07:41:34 2014  multiply complete, coefficients have about 44.42 million bits
Wed Jan 22 07:41:34 2014  initial square root is modulo 2387851
Wed Jan 22 07:42:21 2014  GCD is 1, no factor found
Wed Jan 22 07:42:21 2014  reading relations for dependency 2
Wed Jan 22 07:42:21 2014  read 525074 cycles
Wed Jan 22 07:42:22 2014  cycles contain 1616676 unique relations
Wed Jan 22 07:42:42 2014  read 1616676 relations
Wed Jan 22 07:42:46 2014  multiplying 1616676 relations
Wed Jan 22 07:43:21 2014  multiply complete, coefficients have about 44.52 million bits
Wed Jan 22 07:43:21 2014  initial square root is modulo 2466091
Wed Jan 22 07:44:16 2014  sqrtTime: 221
--
n: 2927609931950584916702830006912517286735722035384881939027028727223087579830910534731775555298686768547604661150105448501137142486782871664821
m: 1000000000000000000000000000000000000
deg: 5
c5: 62
c0: 1
skew: 0.44
# Murphy_E = 1.158e-10
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

yafu v1.34.3

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

15611691253616364848780951704788592703228927208774297633269385491247051574841263527032988314254882845171845471693377444452676582307835077309170215569961563<155>

470967867546910596384554824165093652605140579664804067374000757789407<69>
33148102724994009449986512742811610470662236505291700325080649365128933551800410696709<86>

Number: 68889_181
N=15611691253616364848780951704788592703228927208774297633269385491247051574841263527032988314254882845171845471693377444452676582307835077309170215569961563
  ( 155 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=470967867546910596384554824165093652605140579664804067374000757789407
 r2=33148102724994009449986512742811610470662236505291700325080649365128933551800410696709
Version: 
Total time: 59.54 hours.
Scaled time: 312.27 units (timescale=5.245).
Factorization parameters were as follows:
n: 15611691253616364848780951704788592703228927208774297633269385491247051574841263527032988314254882845171845471693377444452676582307835077309170215569961563
m: 1000000000000000000000000000000000000
deg: 5
c5: 620
c0: 1
skew: 0.28
# Murphy_E = 8.358e-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, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18613428
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1347547 x 1347795
Total sieving time: 56.02 hours.
Total relation processing time: 1.34 hours.
Matrix solve time: 2.00 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: 59.54 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49374320k/51380224k available (5220k kernel code, 1085960k absent, 919944k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.06 BogoMIPS (lpj=3400031)
Total of 12 processors activated (81600.74 BogoMIPS).

GGNFS / Msieve v1.39

Core i7 4930K

10058202790687866343208722284566699982743146914873165476464462409692378139959275838581442394280532140782549907454921959731108198978935517<137>

1186611957688043932219971756502759458639949<43>
8476404375938483607663016557341017824611516175428184763926174835134353231114352664100646042833<94>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 10058202790687866343208722284566699982743146914873165476464462409692378139959275838581442394280532140782549907454921959731108198978935517 (137 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=510329973
Step 1 took 25546ms
Step 2 took 8361ms
********** Factor found in step 2: 1186611957688043932219971756502759458639949
Found probable prime factor of 43 digits: 1186611957688043932219971756502759458639949
Probable prime cofactor 8476404375938483607663016557341017824611516175428184763926174835134353231114352664100646042833 has 94 digits

Core i7-4930K

1518798161958613557796562334245936907631759170067852509160399921199052690475133668276107067878696252441479275265418788086067897280255095197<139>

2364802067766686006835964048686807187<37>
642251705823719648362007474811269274631423424957850035191810206850583469985495109810743277682304105231<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4006625762
Step 1 took 48611ms
Step 2 took 19831ms
********** Factor found in step 2: 2364802067766686006835964048686807187
Found probable prime factor of 37 digits: 2364802067766686006835964048686807187
Probable prime cofactor 642251705823719648362007474811269274631423424957850035191810206850583469985495109810743277682304105231 has 102 digits

20153652045725763265772398519588981197973816584824163419019766884909383457328310655688725519825538483465352726046104173916460241938964064624033837841944047969<158>

2894621452889130987063021588515679808722027536356435763672721962779129097<73>
6962448241931717290419794550181591287532529411503324964933549342579828108632127047577<85>

Number: 68889_185
N=20153652045725763265772398519588981197973816584824163419019766884909383457328310655688725519825538483465352726046104173916460241938964064624033837841944047969
  ( 158 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=2894621452889130987063021588515679808722027536356435763672721962779129097
 r2=6962448241931717290419794550181591287532529411503324964933549342579828108632127047577
Version: 
Total time: 61.72 hours.
Scaled time: 324.48 units (timescale=5.257).
Factorization parameters were as follows:
n: 20153652045725763265772398519588981197973816584824163419019766884909383457328310655688725519825538483465352726046104173916460241938964064624033837841944047969
m: 10000000000000000000000000000000000000
deg: 5
c5: 62
c0: 1
skew: 0.44
# Murphy_E = 7.251e-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, 6900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19783341
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1642372 x 1642620
Total sieving time: 56.84 hours.
Total relation processing time: 1.41 hours.
Matrix solve time: 3.37 hours.
Time per square root: 0.10 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: 61.72 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

1919489484964800766157402571167927480827154213127576347725188837876179464649665402838955174313454204956427538818079187965640057443985987928175206845172207003<157>

4021038098906874488762350060272645799315037720136379349379906136094248769809<76>
477361675704245874207674779490424755834914524879017665041774706104578445933452267<81>

Number: 68889_186
N=1919489484964800766157402571167927480827154213127576347725188837876179464649665402838955174313454204956427538818079187965640057443985987928175206845172207003
  ( 157 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=4021038098906874488762350060272645799315037720136379349379906136094248769809
 r2=477361675704245874207674779490424755834914524879017665041774706104578445933452267
Version: 
Total time: 86.82 hours.
Scaled time: 456.31 units (timescale=5.256).
Factorization parameters were as follows:
n: 1919489484964800766157402571167927480827154213127576347725188837876179464649665402838955174313454204956427538818079187965640057443985987928175206845172207003
m: 10000000000000000000000000000000000000
deg: 5
c5: 620
c0: 1
skew: 0.28
# Murphy_E = 5.231e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 7900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20813250
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1689340 x 1689588
Total sieving time: 80.65 hours.
Total relation processing time: 2.16 hours.
Matrix solve time: 3.73 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 86.82 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368504k/51380224k available (5398k kernel code, 1086464k absent, 925256k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.78 BogoMIPS (lpj=3399891)
Total of 12 processors activated (81597.38 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

62665444117427613152907292661857943522060827195806868834482190005012157395977978094987633907536678693906250735988018244067937989209847241776424927213302967<155>

1849190057369076140141407201103<31>

33888049455870691317919747686980935159126946097838594210941180686787749397808077986911027982634221968104920393473559160881689<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2304118069
Step 1 took 11184ms
Step 2 took 5509ms
********** Factor found in step 2: 1849190057369076140141407201103
Found probable prime factor of 31 digits: 1849190057369076140141407201103
Composite cofactor has 125 digits

33888049455870691317919747686980935159126946097838594210941180686787749397808077986911027982634221968104920393473559160881689<125>

3006746979172029135860649135821173<34>

11270668829341428898010572397383238822044107793433033958133751731646804587196993283022886293<92>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2629018177
Step 1 took 34219ms
Step 2 took 13740ms
********** Factor found in step 2: 3006746979172029135860649135821173
Found probable prime factor of 34 digits: 3006746979172029135860649135821173
Composite cofactor 11270668829341428898010572397383238822044107793433033958133751731646804587196993283022886293 has 92 digits

GMP-ECM 6.2.1

11270668829341428898010572397383238822044107793433033958133751731646804587196993283022886293<92>

1177667319927559790709272878782439111818259<43>
9570333351896616991124445351088249914236626668727<49>

Number: 68889_188
N=11270668829341428898010572397383238822044107793433033958133751731646804587196993283022886293
  ( 92 digits)
Divisors found:
 r1=1177667319927559790709272878782439111818259 (pp43)
 r2=9570333351896616991124445351088249914236626668727 (pp49)
Version: Msieve v. 1.43
Total time: 1.27 hours.
Scaled time: 0.99 units (timescale=0.779).
Factorization parameters were as follows:
# Murphy_E = 3.654456e-08, selected by Erik Branger
n: 11270668829341428898010572397383238822044107793433033958133751731646804587196993283022886293
Y0: -11431321258257815887845
Y1: 576515385683
c0: -102181777323958048333033352
c1: -831689765921919843971
c2: 87865900106882
c3: 603673556
c4: 660
skew: 960076.21
type: gnfs
# selected mechanically
rlim: 870000
alim: 870000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.4
alambda: 2.4
Factor base limits: 870000/870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved algebraic special-q in [435000, 755001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118277 x 118503
Total sieving time: 1.16 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,870000,870000,26,26,46,46,2.4,2.4,40000
total time: 1.27 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

3756935067359240500961455618659191449330832223845963500727016846486372047178710602889418476076859267783358873492810648281262721931343390973838800599531501468534328221<166>

412281812991719655401137950828121626359825039298021101<54>
9112541346650902312499298924291643631479257954186125814887462290630065257772835080057952904165642224809571275121<112>

Number: 68889_190
N=3756935067359240500961455618659191449330832223845963500727016846486372047178710602889418476076859267783358873492810648281262721931343390973838800599531501468534328221
  ( 166 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=412281812991719655401137950828121626359825039298021101
 r2=9112541346650902312499298924291643631479257954186125814887462290630065257772835080057952904165642224809571275121
Version: 
Total time: 93.53 hours.
Scaled time: 491.66 units (timescale=5.257).
Factorization parameters were as follows:
n: 3756935067359240500961455618659191449330832223845963500727016846486372047178710602889418476076859267783358873492810648281262721931343390973838800599531501468534328221
m: 100000000000000000000000000000000000000
deg: 5
c5: 62
c0: 1
skew: 0.44
# Murphy_E = 4.521e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20640009
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1857431 x 1857678
Total sieving time: 86.38 hours.
Total relation processing time: 2.23 hours.
Matrix solve time: 4.77 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 93.53 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

397782673676387672909984107165608470457721099421561796218861542328748601772187644024325809270355330198218071744990341342901681615455201118431165141901946910207703<162>

25541738778519125427750470301832782468745942823<47>
90533227218074420079231193453942096928346030229273<50>
172023350324523499041837064227951274582173610644915071935839080057<66>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 397782673676387672909984107165608470457721099421561796218861542328748601772187644024325809270355330198218071744990341342901681615455201118431165141901946910207703 (162 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4196971622
Step 1 took 29538ms
Step 2 took 9849ms
********** Factor found in step 2: 25541738778519125427750470301832782468745942823
Found probable prime factor of 47 digits: 25541738778519125427750470301832782468745942823
Composite cofactor 15573829061744501967695806610839440355273254885908588717276062884848162139497703995735524472978617449713757111908561 has 116 digits

Number: 68889_191
N=15573829061744501967695806610839440355273254885908588717276062884848162139497703995735524472978617449713757111908561
  ( 116 digits)
Divisors found:
 r1=90533227218074420079231193453942096928346030229273
 r2=172023350324523499041837064227951274582173610644915071935839080057
Version: 
Total time: 11.06 hours.
Scaled time: 58.02 units (timescale=5.246).
Factorization parameters were as follows:
name: 68889_191
n: 15573829061744501967695806610839440355273254885908588717276062884848162139497703995735524472978617449713757111908561
skew: 58283.22
# norm 1.60e+16
c5: 68400
c4: 6542891066
c3: -870841977176055
c2: -20074702964627300374
c1: 1251452966756846276082780
c0: 6078083593001805441273587000
# alpha -6.72
Y1: 2068767323803
Y0: -11788713205626229104417
# Murphy_E 5.04e-10
# M 7241054543744875963815356571506641250819804071827902811265542692884179197982577792988455721100256648004519281349457
type: gnfs
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 75000
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1650000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9994972
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 506090 x 506338
Polynomial selection time: 1.51 hours.
Total sieving time: 8.81 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3300000,3300000,27,27,53,53,2.5,2.5,75000
total time: 11.06 hours.
 --------- CPU info (if available) ----------

GMP-ECM v6.4.4 / GGNFS / Msieve v1.39

Core i7-4930K

1859846094484339172443255093197163151356958077630868751127125276207029594995593446665530346094790361844266677121701470505309151295984212007757230405528136037<157>

27709219442314269517733553661<29>

67120118571229054007852553625644972193178932995580312107496834585836388640387628469745320290016883024135792757907790554597095817<128>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=809520046
Step 1 took 7132ms
Step 2 took 4136ms
********** Factor found in step 2: 27709219442314269517733553661
Found probable prime factor of 29 digits: 27709219442314269517733553661
Composite cofactor has 128 digits

67120118571229054007852553625644972193178932995580312107496834585836388640387628469745320290016883024135792757907790554597095817<128>

25282667868355140733212912540868075985105142265695600452749<59>
2654787814352433936618556409145199621494963919444041855456438115069933<70>

Number: 68889_195/68889_195
N=67120118571229054007852553625644972193178932995580312107496834585836388640387628469745320290016883024135792757907790554597095817
  ( 128 digits)
Divisors found:
 r1=25282667868355140733212912540868075985105142265695600452749 (pp59)
 r2=2654787814352433936618556409145199621494963919444041855456438115069933 (pp70)
Version: Msieve v. 1.44
Total time: 118.57 hours.
Scaled time: 247.22 units (timescale=2.085).
Factorization parameters were as follows:
# Murphy_E = 1.01495e-10, selected by Jeff Gilchrist
n: 67120118571229054007852553625644972193178932995580312107496834585836388640387628469745320290016883024135792757907790554597095817
Y0: -5042868671696922716840007
Y1: 107061350438971
c0: 4479249778427655178239639963616
c1: 86710113784543636299699444
c2: -3437659081104933389168
c3: 12074145424100631
c4: 42528970552
c5: 20580
skew: 270764.13
type: gnfs
# selected mechanically
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4250000, 8950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1300298 x 1300523
Total sieving time: 115.42 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.22 hours.
Time per square root: 0.79 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8500000,8500000,28,28,53,53,2.5,2.5,100000
total time: 118.57 hours.
 --------- CPU info (if available) ----------

linux ubuntu 10.4 quadcore 2.5 ghz

301743248616482870960473094479217920434198801105937674445315606404159774023507745797860251021181889370218038698084952404869357340415539387957621620779792157303622330363109065097212427733708663<192>

89531588268845862199637813684159136194493359744125099143364201653532024332803<77>
3370243446485131770113347484910600373057261501134355778377433073145208681591570225369931387074948824171964384746621<115>

Thu Mar 18 00:49:09 2010  
Thu Mar 18 00:49:09 2010  
Thu Mar 18 00:49:09 2010  Msieve v. 1.42
Thu Mar 18 00:49:09 2010  random seeds: b334435f 3647de5c
Thu Mar 18 00:49:09 2010  factoring 301743248616482870960473094479217920434198801105937674445315606404159774023507745797860251021181889370218038698084952404869357340415539387957621620779792157303622330363109065097212427733708663 (192 digits)
Thu Mar 18 00:49:11 2010  no P-1/P+1/ECM available, skipping
Thu Mar 18 00:49:11 2010  commencing number field sieve (192-digit input)
Thu Mar 18 00:49:11 2010  R0: -1000000000000000000000000000000000000000
Thu Mar 18 00:49:11 2010  R1:  1
Thu Mar 18 00:49:11 2010  A0:  1
Thu Mar 18 00:49:11 2010  A1:  0
Thu Mar 18 00:49:11 2010  A2:  0
Thu Mar 18 00:49:11 2010  A3:  0
Thu Mar 18 00:49:11 2010  A4:  0
Thu Mar 18 00:49:11 2010  A5:  620
Thu Mar 18 00:49:11 2010  skew 1.00, size 1.020836e-13, alpha 1.017124, combined = 1.939307e-11
Thu Mar 18 00:49:11 2010  
Thu Mar 18 00:49:11 2010  commencing relation filtering
Thu Mar 18 00:49:11 2010  estimated available RAM is 7923.9 MB
Thu Mar 18 00:49:11 2010  commencing duplicate removal, pass 1
Thu Mar 18 00:49:39 2010  error -11 reading relation 5669518
Thu Mar 18 00:49:41 2010  error -11 reading relation 6012769
Thu Mar 18 00:49:51 2010  error -11 reading relation 7571284
Thu Mar 18 00:50:09 2010  error -6 reading relation 10555040
Thu Mar 18 00:50:42 2010  error -11 reading relation 16179623
Thu Mar 18 00:52:16 2010  found 4528409 hash collisions in 31865978 relations
Thu Mar 18 00:52:51 2010  added 732011 free relations
Thu Mar 18 00:52:51 2010  commencing duplicate removal, pass 2
Thu Mar 18 00:53:06 2010  found 3615765 duplicates and 28982224 unique relations
Thu Mar 18 00:53:06 2010  memory use: 165.2 MB
Thu Mar 18 00:53:06 2010  reading ideals above 720000
Thu Mar 18 00:53:06 2010  commencing singleton removal, initial pass
Thu Mar 18 00:57:16 2010  memory use: 532.8 MB
Thu Mar 18 00:57:16 2010  reading all ideals from disk
Thu Mar 18 00:57:17 2010  memory use: 975.5 MB
Thu Mar 18 00:57:24 2010  keeping 25554896 ideals with weight <= 200, target excess is 157163
Thu Mar 18 00:57:30 2010  commencing in-memory singleton removal
Thu Mar 18 00:57:36 2010  begin with 28982224 relations and 25554896 unique ideals
Thu Mar 18 00:58:31 2010  reduce to 20229606 relations and 15814663 ideals in 12 passes
Thu Mar 18 00:58:31 2010  max relations containing the same ideal: 164
Thu Mar 18 00:58:48 2010  removing 2055400 relations and 1655400 ideals in 400000 cliques
Thu Mar 18 00:58:49 2010  commencing in-memory singleton removal
Thu Mar 18 00:58:53 2010  begin with 18174206 relations and 15814663 unique ideals
Thu Mar 18 00:59:24 2010  reduce to 18045318 relations and 14027202 ideals in 8 passes
Thu Mar 18 00:59:24 2010  max relations containing the same ideal: 152
Thu Mar 18 00:59:39 2010  removing 1548114 relations and 1148114 ideals in 400000 cliques
Thu Mar 18 00:59:40 2010  commencing in-memory singleton removal
Thu Mar 18 00:59:43 2010  begin with 16497204 relations and 14027202 unique ideals
Thu Mar 18 01:00:04 2010  reduce to 16417902 relations and 12798172 ideals in 6 passes
Thu Mar 18 01:00:04 2010  max relations containing the same ideal: 143
Thu Mar 18 01:00:18 2010  removing 1386446 relations and 986446 ideals in 400000 cliques
Thu Mar 18 01:00:19 2010  commencing in-memory singleton removal
Thu Mar 18 01:00:22 2010  begin with 15031456 relations and 12798172 unique ideals
Thu Mar 18 01:00:41 2010  reduce to 14958019 relations and 11736710 ideals in 6 passes
Thu Mar 18 01:00:41 2010  max relations containing the same ideal: 133
Thu Mar 18 01:00:54 2010  removing 1308211 relations and 908211 ideals in 400000 cliques
Thu Mar 18 01:00:54 2010  commencing in-memory singleton removal
Thu Mar 18 01:00:57 2010  begin with 13649808 relations and 11736710 unique ideals
Thu Mar 18 01:01:14 2010  reduce to 13582726 relations and 10759896 ideals in 6 passes
Thu Mar 18 01:01:14 2010  max relations containing the same ideal: 126
Thu Mar 18 01:01:26 2010  removing 1257000 relations and 857000 ideals in 400000 cliques
Thu Mar 18 01:01:26 2010  commencing in-memory singleton removal
Thu Mar 18 01:01:29 2010  begin with 12325726 relations and 10759896 unique ideals
Thu Mar 18 01:01:44 2010  reduce to 12258403 relations and 9833956 ideals in 6 passes
Thu Mar 18 01:01:44 2010  max relations containing the same ideal: 114
Thu Mar 18 01:01:54 2010  removing 1216929 relations and 816929 ideals in 400000 cliques
Thu Mar 18 01:01:55 2010  commencing in-memory singleton removal
Thu Mar 18 01:01:57 2010  begin with 11041474 relations and 9833956 unique ideals
Thu Mar 18 01:02:09 2010  reduce to 10967722 relations and 8941295 ideals in 5 passes
Thu Mar 18 01:02:09 2010  max relations containing the same ideal: 108
Thu Mar 18 01:02:18 2010  removing 1183968 relations and 783968 ideals in 400000 cliques
Thu Mar 18 01:02:18 2010  commencing in-memory singleton removal
Thu Mar 18 01:02:20 2010  begin with 9783754 relations and 8941295 unique ideals
Thu Mar 18 01:02:32 2010  reduce to 9700512 relations and 8071452 ideals in 6 passes
Thu Mar 18 01:02:32 2010  max relations containing the same ideal: 99
Thu Mar 18 01:02:41 2010  removing 1169886 relations and 769886 ideals in 400000 cliques
Thu Mar 18 01:02:41 2010  commencing in-memory singleton removal
Thu Mar 18 01:02:43 2010  begin with 8530626 relations and 8071452 unique ideals
Thu Mar 18 01:02:53 2010  reduce to 8442389 relations and 7210404 ideals in 6 passes
Thu Mar 18 01:02:53 2010  max relations containing the same ideal: 90
Thu Mar 18 01:03:00 2010  removing 1154408 relations and 754408 ideals in 400000 cliques
Thu Mar 18 01:03:01 2010  commencing in-memory singleton removal
Thu Mar 18 01:03:02 2010  begin with 7287981 relations and 7210404 unique ideals
Thu Mar 18 01:03:11 2010  reduce to 7183682 relations and 6347523 ideals in 6 passes
Thu Mar 18 01:03:11 2010  max relations containing the same ideal: 82
Thu Mar 18 01:03:17 2010  removing 1144280 relations and 744280 ideals in 400000 cliques
Thu Mar 18 01:03:17 2010  commencing in-memory singleton removal
Thu Mar 18 01:03:19 2010  begin with 6039402 relations and 6347523 unique ideals
Thu Mar 18 01:03:27 2010  reduce to 5910029 relations and 5467726 ideals in 7 passes
Thu Mar 18 01:03:27 2010  max relations containing the same ideal: 69
Thu Mar 18 01:03:32 2010  removing 834988 relations and 574995 ideals in 259993 cliques
Thu Mar 18 01:03:32 2010  commencing in-memory singleton removal
Thu Mar 18 01:03:33 2010  begin with 5075041 relations and 5467726 unique ideals
Thu Mar 18 01:03:39 2010  reduce to 5001360 relations and 4816238 ideals in 6 passes
Thu Mar 18 01:03:39 2010  max relations containing the same ideal: 61
Thu Mar 18 01:03:45 2010  relations with 0 large ideals: 3359
Thu Mar 18 01:03:45 2010  relations with 1 large ideals: 1454
Thu Mar 18 01:03:45 2010  relations with 2 large ideals: 20097
Thu Mar 18 01:03:45 2010  relations with 3 large ideals: 133049
Thu Mar 18 01:03:45 2010  relations with 4 large ideals: 473640
Thu Mar 18 01:03:45 2010  relations with 5 large ideals: 1013523
Thu Mar 18 01:03:45 2010  relations with 6 large ideals: 1405834
Thu Mar 18 01:03:45 2010  relations with 7+ large ideals: 1950404
Thu Mar 18 01:03:45 2010  commencing 2-way merge
Thu Mar 18 01:03:50 2010  reduce to 3527189 relation sets and 3342067 unique ideals
Thu Mar 18 01:03:50 2010  commencing full merge
Thu Mar 18 01:04:56 2010  memory use: 420.6 MB
Thu Mar 18 01:04:57 2010  found 1863797 cycles, need 1836267
Thu Mar 18 01:04:58 2010  weight of 1836267 cycles is about 128548266 (70.01/cycle)
Thu Mar 18 01:04:58 2010  distribution of cycle lengths:
Thu Mar 18 01:04:58 2010  1 relations: 167955
Thu Mar 18 01:04:58 2010  2 relations: 208299
Thu Mar 18 01:04:58 2010  3 relations: 232873
Thu Mar 18 01:04:58 2010  4 relations: 228157
Thu Mar 18 01:04:58 2010  5 relations: 212386
Thu Mar 18 01:04:58 2010  6 relations: 184728
Thu Mar 18 01:04:58 2010  7 relations: 154407
Thu Mar 18 01:04:58 2010  8 relations: 123976
Thu Mar 18 01:04:58 2010  9 relations: 95967
Thu Mar 18 01:04:58 2010  10+ relations: 227519
Thu Mar 18 01:04:58 2010  heaviest cycle: 18 relations
Thu Mar 18 01:04:58 2010  commencing cycle optimization
Thu Mar 18 01:05:02 2010  start with 9953409 relations
Thu Mar 18 01:05:19 2010  pruned 344454 relations
Thu Mar 18 01:05:19 2010  memory use: 309.7 MB
Thu Mar 18 01:05:19 2010  distribution of cycle lengths:
Thu Mar 18 01:05:19 2010  1 relations: 167955
Thu Mar 18 01:05:19 2010  2 relations: 213532
Thu Mar 18 01:05:19 2010  3 relations: 243071
Thu Mar 18 01:05:19 2010  4 relations: 237426
Thu Mar 18 01:05:19 2010  5 relations: 221534
Thu Mar 18 01:05:19 2010  6 relations: 190193
Thu Mar 18 01:05:19 2010  7 relations: 157419
Thu Mar 18 01:05:19 2010  8 relations: 122830
Thu Mar 18 01:05:19 2010  9 relations: 93137
Thu Mar 18 01:05:19 2010  10+ relations: 189170
Thu Mar 18 01:05:19 2010  heaviest cycle: 18 relations
Thu Mar 18 01:05:22 2010  RelProcTime: 971
Thu Mar 18 01:05:22 2010  
Thu Mar 18 01:05:22 2010  commencing linear algebra
Thu Mar 18 01:05:23 2010  read 1836267 cycles
Thu Mar 18 01:05:26 2010  cycles contain 4901195 unique relations
Thu Mar 18 01:05:58 2010  read 4901195 relations
Thu Mar 18 01:06:05 2010  using 20 quadratic characters above 268434500
Thu Mar 18 01:06:28 2010  building initial matrix
Thu Mar 18 01:07:24 2010  memory use: 628.5 MB
Thu Mar 18 01:07:25 2010  read 1836267 cycles
Thu Mar 18 01:07:26 2010  matrix is 1836089 x 1836267 (545.4 MB) with weight 160129255 (87.20/col)
Thu Mar 18 01:07:26 2010  sparse part has weight 122782447 (66.87/col)
Thu Mar 18 01:07:47 2010  filtering completed in 2 passes
Thu Mar 18 01:07:47 2010  matrix is 1835750 x 1835928 (545.4 MB) with weight 160118655 (87.21/col)
Thu Mar 18 01:07:47 2010  sparse part has weight 122778555 (66.88/col)
Thu Mar 18 01:07:56 2010  read 1835928 cycles
Thu Mar 18 01:07:57 2010  matrix is 1835750 x 1835928 (545.4 MB) with weight 160118655 (87.21/col)
Thu Mar 18 01:07:57 2010  sparse part has weight 122778555 (66.88/col)
Thu Mar 18 01:07:57 2010  saving the first 48 matrix rows for later
Thu Mar 18 01:07:58 2010  matrix is 1835702 x 1835928 (516.4 MB) with weight 127136824 (69.25/col)
Thu Mar 18 01:07:58 2010  sparse part has weight 116998788 (63.73/col)
Thu Mar 18 01:07:58 2010  matrix includes 64 packed rows
Thu Mar 18 01:07:58 2010  using block size 65536 for processor cache size 6144 kB
Thu Mar 18 01:08:05 2010  commencing Lanczos iteration (4 threads)
Thu Mar 18 01:08:05 2010  memory use: 555.3 MB
Thu Mar 18 05:07:07 2010  lanczos halted after 29025 iterations (dim = 1835701)
Thu Mar 18 05:07:09 2010  recovered 37 nontrivial dependencies
Thu Mar 18 05:07:10 2010  BLanczosTime: 14508
Thu Mar 18 05:07:10 2010  
Thu Mar 18 05:07:10 2010  commencing square root phase
Thu Mar 18 05:07:10 2010  reading relations for dependency 1
Thu Mar 18 05:07:10 2010  read 918618 cycles
Thu Mar 18 05:07:12 2010  cycles contain 3080839 unique relations
Thu Mar 18 05:07:35 2010  read 3080839 relations
Thu Mar 18 05:07:50 2010  multiplying 2452702 relations
Thu Mar 18 05:11:18 2010  multiply complete, coefficients have about 78.65 million bits
Thu Mar 18 05:11:19 2010  initial square root is modulo 442271
Thu Mar 18 05:17:10 2010  reading relations for dependency 2
Thu Mar 18 05:17:11 2010  read 917299 cycles
Thu Mar 18 05:17:12 2010  cycles contain 3075703 unique relations
Thu Mar 18 05:17:35 2010  read 3075703 relations
Thu Mar 18 05:17:50 2010  multiplying 2448982 relations
Thu Mar 18 05:21:19 2010  multiply complete, coefficients have about 78.53 million bits
Thu Mar 18 05:21:19 2010  initial square root is modulo 433651
Thu Mar 18 05:27:14 2010  reading relations for dependency 3
Thu Mar 18 05:27:15 2010  read 918078 cycles
Thu Mar 18 05:27:16 2010  cycles contain 3078435 unique relations
Thu Mar 18 05:27:39 2010  read 3078435 relations
Thu Mar 18 05:27:54 2010  multiplying 2450762 relations
Thu Mar 18 05:31:23 2010  multiply complete, coefficients have about 78.59 million bits
Thu Mar 18 05:31:23 2010  initial square root is modulo 437471
Thu Mar 18 05:37:15 2010  reading relations for dependency 4
Thu Mar 18 05:37:16 2010  read 918129 cycles
Thu Mar 18 05:37:17 2010  cycles contain 3080359 unique relations
Thu Mar 18 05:37:40 2010  read 3080359 relations
Thu Mar 18 05:37:55 2010  multiplying 2452242 relations
Thu Mar 18 05:41:24 2010  multiply complete, coefficients have about 78.64 million bits
Thu Mar 18 05:41:24 2010  initial square root is modulo 441251
Thu Mar 18 05:47:16 2010  sqrtTime: 2406
Thu Mar 18 05:47:16 2010  prp77 factor: 89531588268845862199637813684159136194493359744125099143364201653532024332803
Thu Mar 18 05:47:16 2010  prp115 factor: 3370243446485131770113347484910600373057261501134355778377433073145208681591570225369931387074948824171964384746621
Thu Mar 18 05:47:16 2010  elapsed time 04:58:07

28153884795426993298483778284244471883800094553639205956249429198695026754574463533805155344427554984976566485681239912057444589830272994200869730194689063<155>

4356402963159021076175099427201274926109<40>
6462644763011400186060413123950473603980574135024907879815715334654919073097207116886878604199270593081081502770707<115>

GMP-ECM 6.4.2 [configured with GMP 5.0.5, --enable-asm-redc] [ECM]
Input number is (62*10^197+1)/(9*53*502537759*918684274727294587178667856012189) (155 digits)
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=837352938
dF=4096, k=6, d=39270, d2=13, i0=13
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
910     8615    97096   1281819 1.9e+007        3.1e+008        6.2e+009        1.7e+011        2.3e+016        3.1e+021
Step 1 took 5569ms
Using 19 small primes for NTT
Estimated memory usage: 13M
Initializing tables of differences for F took 0ms
Computing roots of F took 110ms
Building F from its roots took 156ms
Computing 1/F took 93ms
Initializing table of differences for G took 16ms
Computing roots of G took 93ms
Building G from its roots took 188ms
Computing roots of G took 93ms
Building G from its roots took 187ms
Computing G * H took 47ms
Reducing  G * H mod F took 63ms
Computing roots of G took 93ms
Building G from its roots took 187ms
Computing G * H took 32ms
Reducing  G * H mod F took 62ms
Computing roots of G took 94ms
Building G from its roots took 187ms
Computing G * H took 47ms
Reducing  G * H mod F took 62ms
Computing roots of G took 94ms
Building G from its roots took 171ms
Computing G * H took 31ms
Reducing  G * H mod F took 63ms
Computing roots of G took 93ms
Building G from its roots took 188ms
Computing G * H took 46ms
Reducing  G * H mod F took 63ms
Computing polyeval(F,G) took 327ms
Computing product of all F(g_i) took 0ms
Step 2 took 2917ms
********** Factor found in step 2: 4356402963159021076175099427201274926109
Found probable prime factor of 40 digits: 4356402963159021076175099427201274926109
Probable prime cofactor ((62*10^197+1)/(9*53*502537759*918684274727294587178667856012189))/4356402963159021076175099427201274926109 has 115 digits

2881150262695852179389437285034019097793832487480359202238956644974041487611796769532028110494589839377819100366759795946342206870590963<136>

967551883484650368439527991<27>

2977773400966729557262910612070948030761525293963782726524942079349040033987086057984353270415668276487545893<109>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=108283914
Step 1 took 6361ms
Step 2 took 3400ms
********** Factor found in step 2: 967551883484650368439527991
Found probable prime factor of 27 digits: 967551883484650368439527991
Composite cofactor has 109 digits

2977773400966729557262910612070948030761525293963782726524942079349040033987086057984353270415668276487545893<109>

389335045641826884043776271524628176938144933<45>
7648356946798376318897104196293214401401437074839678930464373121<64>

Number: 68889_198
N=2977773400966729557262910612070948030761525293963782726524942079349040033987086057984353270415668276487545893
  ( 109 digits)
Divisors found:
 r1=389335045641826884043776271524628176938144933
 r2=7648356946798376318897104196293214401401437074839678930464373121
Version: 
Total time: 7.85 hours.
Scaled time: 18.72 units (timescale=2.386).
Factorization parameters were as follows:
name: 68889_198
n: 2977773400966729557262910612070948030761525293963782726524942079349040033987086057984353270415668276487545893
skew: 13010.10
# norm 1.27e+15
c5: 78480
c4: -6385590726
c3: -83027284657224
c2: 1039693392422710096
c1: 3226468451680015843691
c0: -11675131750255900193175048
# alpha -6.11
Y1: 255036436039
Y0: -519792487094797911245
# Murphy_E 1.17e-09
# M 1068445440488013207161556177092025105597982621636098042704133419685243901292810259292319983730838995356696897
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 2250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8157089
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 377678 x 377926
Polynomial selection time: 0.58 hours.
Total sieving time: 5.83 hours.
Total relation processing time: 0.89 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 7.85 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

242272516758324412292457230047910439067692819425960231472862407947536198911223643423847291115565537993477600700178264007499983234327818331<138>

391009372282598562511570190167212961362072351157<48>
619607952985904633144967216064295218654410415308394696166882666826776905948061927555883983<90>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2783007953
Step 1 took 49073ms
Step 2 took 18442ms
********** Factor found in step 2: 391009372282598562511570190167212961362072351157
Found probable prime factor of 48 digits: 391009372282598562511570190167212961362072351157
Probable prime cofactor 619607952985904633144967216064295218654410415308394696166882666826776905948061927555883983 has 90 digits

GMP-ECM 6.2.3

86784523682544029935076267228782640463134464244178571445330047464845631292208660415658904270876616309807575483582120349538220674018940632170178236095419097741<158>

166459968114110917792409954373763567<36>
521353720451585563201948390811982204708097218278300204653924086870185218566078964887594284662469470101878473061146762637123<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2064762550
Step 1 took 19565ms
Step 2 took 7903ms
********** Factor found in step 2: 166459968114110917792409954373763567
Found probable prime factor of 36 digits: 166459968114110917792409954373763567

24864478175392112475830300337365220042021181577921470152701813524190276813584903534939587757655405659979461152420208213252000086567579507855271<143>

22957154472094300859455048425499<32>
254283222669037122658716773311703971120187<42>
4259352525026471250927689283392136508727243983953474139896901254099167<70>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3708123993
Step 1 took 10217ms
Step 2 took 9041ms
********** Factor found in step 2: 22957154472094300859455048425499
Found probable prime factor of 32 digits: 22957154472094300859455048425499
Composite cofactor 

Divisors found:
 r1=254283222669037122658716773311703971120187 (pp42)
 r2=4259352525026471250927689283392136508727243983953474139896901254099167 (pp70)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 9.62 hours.
Scaled time: 23.08 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  1083081886547231702709113571214720607613819638709414238729725305307130167867168180428320156177470252718573584229
skew:  32906.81
Y0:  -2335827851199393309873
Y1:  147870172001
c0:  110390953833703898939009720
c1:  -6951436164038844986094
c2:  180801486843605963
c3:  -13794601738596
c4:  675360188
c5:  15576
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1750000, 2550001)
Pruned matrix : 385539 x 385766
Total sieving time: 9.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.07 hours.
total time: 9.62 hours.

350521131989894346867784095728850494136971003546419176865651530938171529908856984016717221104851631670963841770912133174170749740058325299668358481399822587656989487620806429<174>

395797195857486654507577005756543151933436579567458888732239575419987<69>
885607921578366347412194572503586185302607467600920380010269635574254156354235242822903259085284457717967<105>

Number: n
N=350521131989894346867784095728850494136971003546419176865651530938171529908856984016717221104851631670963841770912133174170749740058325299668358481399822587656989487620806429  ( 174 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Nov 17 12:27:23 2023  prp69 factor: 395797195857486654507577005756543151933436579567458888732239575419987
Fri Nov 17 12:27:23 2023  prp105 factor: 885607921578366347412194572503586185302607467600920380010269635574254156354235242822903259085284457717967
Fri Nov 17 12:27:23 2023  elapsed time 02:40:26 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.079).
Factorization parameters were as follows:
#
# N = 62x10^204+1 = 68(203)9
#
n: 350521131989894346867784095728850494136971003546419176865651530938171529908856984016717221104851631670963841770912133174170749740058325299668358481399822587656989487620806429
m: 10000000000000000000000000000000000
deg: 6
c6: 62
c0: 1
skew: 0.50
# Murphy_E = 9.446e-12
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3601779 hash collisions in 20294543 relations (17368674 unique)
Msieve: matrix is 2253318 x 2253543 (637.7 MB)

Sieving start time: 2023/11/16 12:11:12
Sieving end time  : 2023/11/17 09:46:29

Total sieving time: 21hrs 35min 17secs.

Total relation processing time: 2hrs 31min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 12sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18800000,18800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6735202841946371049751646396980091096262868464299226202779430995945642066278026865932784453368042982955922723896372334049861983483433190801759927479<148>

172116567930073579417807141912321190157645135909773272561<57>
39131635745157934295649747867326591225129439851588305792114224772109021023717547733014201639<92>

Number: 68889_205
N=67352028419463710497516463969800910962628684642992262027794309959456420662780>
  ( 148 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=172116567930073579417807141912321190157645135909773272561
 r2=391316357451579342956497478673265912251294398515883057921142247721090210237>
Version:
Total time: 333.92 hours.
Scaled time: 2322.41 units (timescale=6.955).
Factorization parameters were as follows:
n: 6735202841946371049751646396980091096262868464299226202779430995945642066278>
m: 100000000000000000000000000000000000000000
deg: 5
c5: 62
c0: 1
skew: 0.44
# Murphy_E = 9.472e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 20600001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: 39323131
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 3613274 x 3613519
Total sieving time: 274.90 hours.
Total relation processing time: 10.76 hours.
Matrix solve time: 47.84 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 333.92 hours.
 --------- CPU info (if available) ----------
[    0.121997] smpboot: CPU0: Intel(R) Core(TM) i7-10700K CPU @ 3.80GHz (family>
[    0.083593] Memory: 1828728K/134029788K available (16384K kernel code, 5596K>
[    0.263029] x86/mm: Memory block size: 2048MB
[    0.120999] Calibrating delay loop (skipped), value calculated using timer f>
[    0.137523] smpboot: Total of 16 processors activated (121596.80 BogoMIPS)

GGNFS / Msieve v1.39

458739354657314303049136904101277811073376099679622353924811139967296323426043077105206691675360517339607703861549503155682818731363713717046606438628813270885588925144095950515341871804547438828586860817<204>

1649788342184842259739021312086347837599562477289<49>
328224158526881218686381950338910592305520420773612572330497703<63>
847163479146196033385272435701135378167351396604893595156356493466470161124604215056639155951<93>

Number: n
N=458739354657314303049136904101277811073376099679622353924811139967296323426043077105206691675360517339607703861549503155682818731363713717046606438628813270885588925144095950515341871804547438828586860817
  ( 204 digits)
SNFS difficulty: 208 digits.
Divisors found:

Mon Aug 14 03:59:12 2017  prp49 factor: 1649788342184842259739021312086347837599562477289
Mon Aug 14 03:59:12 2017  prp63 factor: 328224158526881218686381950338910592305520420773612572330497703
Mon Aug 14 03:59:12 2017  prp93 factor: 847163479146196033385272435701135378167351396604893595156356493466470161124604215056639155951
Mon Aug 14 03:59:12 2017  elapsed time 07:34:57 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.821).
Factorization parameters were as follows:
#
# 62x10^207+1 68(206)9
#
n: 458739354657314303049136904101277811073376099679622353924811139967296323426043077105206691675360517339607703861549503155682818731363713717046606438628813270885588925144095950515341871804547438828586860817
m: 100000000000000000000000000000000000000000
deg: 5
c5: 6200
c0: 1
skew: 0.17
# Murphy_E = 6.959e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 21700000)
Primes: RFBsize:1329943, AFBsize:1329948,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9745877 hash collisions in 64221527 relations (56851030 unique)
Msieve: matrix is 2558984 x 2559209 (726.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 7hrs 2min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 39sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

12603209546762892224349912799946892406659221515334293276702134946150053572086879097156458646747526199506017578800189057067920063281644835172303791280990921981685391<164>

308633043263660957487948722095741753<36>

40835580706101335740006391532674709657168328855307109178009077680663457459103708360277386799108785738668451914581284159519191047<128>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=105739086
Step 1 took 8093ms
Step 2 took 5652ms
********** Factor found in step 2: 308633043263660957487948722095741753
Found probable prime factor of 36 digits: 308633043263660957487948722095741753
Composite cofactor 

40835580706101335740006391532674709657168328855307109178009077680663457459103708360277386799108785738668451914581284159519191047<128>

43452860254164675026816880470337967123<38>
939767381646355719348687189899390160845285522219075582788177943094764055960192656961497789<90>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3659543130
Step 1 took 8185ms
Step 2 took 8600ms
********** Factor found in step 2: 43452860254164675026816880470337967123
Found probable prime factor of 38 digits: 43452860254164675026816880470337967123
Probable prime cofactor 

210669384981311586816173972137274889568467550118926265715256540944614339109751953788651036357458375806999660210669384981311586816173972137274889568467550118926265715256540944614339109751953788651036357458375807<210>

43814095872270862707053692120340983<35>

4808255900006837178787538885451655159602568519496960968057349710863141671047786680202063190214542942691043805086518910819742723359489864875109355470956616707597413298821683129<175>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3034668220
Step 1 took 18305ms
Step 2 took 13561ms
********** Factor found in step 2: 43814095872270862707053692120340983
Found probable prime factor of 35 digits: 43814095872270862707053692120340983
Composite cofactor

567317791936931830087589291931578912212055338373494400344636408314719362071273598246951421767013746201601501525490091657509516984716916199567392732787189305437402475097722777232878188909321479685585159478979<207>

10976272403312571489945141321555883<35>

51685833868856863499449327036818903214660034015514839150109725319739823648818918808452624960242699803013517473637149265677349517629343897200129229757678146777335496161117513<173>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1636988313
Step 1 took 15229ms
Step 2 took 13292ms
********** Factor found in step 2: 10976272403312571489945141321555883
Found probable prime factor of 35 digits: 10976272403312571489945141321555883
Composite cofactor

201886034351598218864637187074782239250504323114078792138066469155541386145314088404098321727675241161939663586376737665905355617484333171279900997345631373054244325059026734469<177>

9559635820150150346135064512492379067060799366182527802219587589404023546773111847295193712957495063331842491824487752740894938305248310190831572796137108807904931168556248495900578959454754814335803<199>

2602752378323867749584011410602393819004479004061347523783849920953999544226751013530001042824325052556517252313521734761672207912407597916180691505862869216544256346213048487972941345768389216989<196>

578747697082119113393990991467021<33>

4497214229008950171865574888846191886217439316188442377536273727061600969926093846293264410412306113181909584586120382758425380276291141526422543298906991108257809<163>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1412064986
Step 1 took 12297ms
Step 2 took 7176ms
********** Factor found in step 2: 578747697082119113393990991467021
Found probable prime factor of 33 digits: 578747697082119113393990991467021
Composite cofactor 

4497214229008950171865574888846191886217439316188442377536273727061600969926093846293264410412306113181909584586120382758425380276291141526422543298906991108257809<163>

1901824767184004523484767874094510405563<40>
1159349328219212867980766992773433024224281<43>
2039664619236859021783490894219382727388657398872546816395646343191608142084517403<82>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3950255539
Step 1 took 19932ms
Step 2 took 7968ms
********** Factor found in step 2: 1901824767184004523484767874094510405563
Found probable prime factor of 40 digits: 1901824767184004523484767874094510405563
Composite cofactor 2364683806104749110637238482822638474945359070375945520419359480833426741261070012310070001555224398364768800297774319662243 has 124 digits

N=2364683806104749110637238482822638474945359070375945520419359480833426741261070012310070001555224398364768800297774319662243
  ( 124 digits)
Divisors found:
 r1=1159349328219212867980766992773433024224281 (pp43)
 r2=2039664619236859021783490894219382727388657398872546816395646343191608142084517403 (pp82)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 62.32 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2364683806104749110637238482822638474945359070375945520419359480833426741261070012310070001555224398364768800297774319662243
skew: 186022.22
c0: -771639013573069886425477885183
c1: 98178171902163846777427609
c2: -415928054833622088889
c3: -7371916712445001
c4: 8212529204
c5: 61620
Y0: -520966955168739498851490
Y1: 4486403075549
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [3350000, 6150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 793544 x 793774
Total sieving time: 60.90 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.66 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6700000,6700000,27,27,54,54,2.5,2.5,100000
total time: 62.32 hours.
 --------- CPU info (if available) ----------

619525354886510615309375175172444457816268081577410392864436418802403697450410533267154979956199359259697493027723774999381953879683491345399440271368682131249509297873744059569529159647529801133883<198>

604926927875797576545747735383281<33>
1024132546160534548861887400518252497630781909822669642475616442453969730182651040362940553754709861546004281521775838972423023761750139393936928609364125359360388843<166>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3029264285
Step 1 took 15113ms
Step 2 took 12913ms
********** Factor found in step 2: 604926927875797576545747735383281
Found probable prime factor of 33 digits: 604926927875797576545747735383281
Probable prime cofactor 

22962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<218>

52163359550869847496832443381302886896739040957654400140353385604061531114315484353487<86>
440212500894798008096954966418710529213313127069772776540652779490925751474129895311594674723484276687547777005211734568094981108349<132>

Number: n
N=22962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
  ( 218 digits)
SNFS difficulty: 218 digits.
Divisors found:

Sun Dec 17 04:07:35 2017  p86 factor: 52163359550869847496832443381302886896739040957654400140353385604061531114315484353487
Sun Dec 17 04:07:35 2017  p132 factor: 440212500894798008096954966418710529213313127069772776540652779490925751474129895311594674723484276687547777005211734568094981108349
Sun Dec 17 04:07:35 2017  elapsed time 06:55:41 (Msieve 1.53 - dependency 7)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.004).
Factorization parameters were as follows:
#
# 62x10^217+1 68(216)9
#
n: 22962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
m: 1000000000000000000000000000000000000
deg: 6
c6: 620
c0: 1
skew: 0.34
# Murphy_E = 2.94e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 57900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13254541 hash collisions in 72067849 relations (61264381 unique)
Msieve: matrix is 3896658 x 3896883 (1103.7 MB)

Sieving start time: 2017/12/15 03:29:35
Sieving end time  : 2017/12/16 21:06:21

Total sieving time: 41hrs 36min 46secs.

Total relation processing time: 5hrs 45min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 48min 57sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297380K/16703460K available (9294K kernel code, 2479K rwdata, 3996K rodata, 2324K init, 2384K bss, 406080K reserved, 0K cma-reserved)
[    0.100633] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.65 BogoMIPS (lpj=11977316)
[    0.098227] smpboot: Total of 16 processors activated (95818.52 BogoMIPS)

4855236269032734312204835614926817818560259093344950146969631779675850145963857278435103418769309105830580818724394394149459975470145146650392554667151766157290196748710764299326976477990205805061883<199>

11844901186863930755633582056145527<35>

409900951678450605969145260702493597413248624223317561740231440984476449716308430067625523791442920852233562758638985258821253904495959095713180991164251863234460829<165>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1090028328
Step 1 took 18193ms
Step 2 took 13089ms
********** Factor found in step 2: 11844901186863930755633582056145527
Found probable prime factor of 35 digits: 11844901186863930755633582056145527
Composite cofactor

409900951678450605969145260702493597413248624223317561740231440984476449716308430067625523791442920852233562758638985258821253904495959095713180991164251863234460829<165>

181307249700328368465754038253<30>

2260808392140693466081815299383603604062632626754070512285055073059205983586244195172842790877811963233079577350382988086135467528526193<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1257133333
Step 1 took 11337ms
Step 2 took 4933ms
********** Factor found in step 2: 181307249700328368465754038253
Found probable prime factor of 30 digits: 181307249700328368465754038253
Composite cofactor

2260808392140693466081815299383603604062632626754070512285055073059205983586244195172842790877811963233079577350382988086135467528526193<136>

418576063240595029970394780989920627398260725071093323707<57>
5401188913282875083123800012820447803769852089964359365470490500911028874965699<79>

Number: 68889_220
N = 2260808392140693466081815299383603604062632626754070512285055073059205983586244195172842790877811963233079577350382988086135467528526193 (136 digits)
Divisors found:
r1=418576063240595029970394780989920627398260725071093323707 (pp57)
r2=5401188913282875083123800012820447803769852089964359365470490500911028874965699 (pp79)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 94.84 hours.
Factorization parameters were as follows:
# Murphy_E = 3.89e-11, selected by Erik Branger
# expecting poly E from 3.93e-011 to > 4.52e-011
n: 2260808392140693466081815299383603604062632626754070512285055073059205983586244195172842790877811963233079577350382988086135467528526193
Y0: -189794651182730103449493014
Y1: 157873443812077
c0: 74743246225736078970442015921552227
c1: 134670258006189816266857509433
c2: -59789439191201343427961
c3: -126283823675671733
c4: 31277020014
c5: 9180
skew: 1825855.53
type: gnfs
# selected mechanically
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22020971
Relations: 3619984 relations
Pruned matrix : 2147939 x 2148187
Polynomial selection time: 0.00 hours.
Total sieving time: 91.78 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.75 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13700000,13700000,28,28,55,55,2.6,2.6,100000
total time: 94.84 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

4068547485518000553814483777697203353763692213493936642284270553914977279037376420725273661217013070889114345463579793465686233852405442819522622870578873191640495724926754233964874124261928442251879<199>

8415552108943767014213643149491316944039<40>
1269435090823889483763911814460339996802037953639<49>
380843262073515905411286421277157532245732345451317766151640145522545490513572295306938989472105286788880363799<111>

Number: 68889_221
N = 4068547485518000553814483777697203353763692213493936642284270553914977279037376420725273661217013070889114345463579793465686233852405442819522622870578873191640495724926754233964874124261928442251879 (199 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=8415552108943767014213643149491316944039 (pp40)
r2=1269435090823889483763911814460339996802037953639 (pp49)
r3=380843262073515905411286421277157532245732345451317766151640145522545490513572295306938989472105286788880363799 (pp111)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.25 hours.
Factorization parameters were as follows:
n: 4068547485518000553814483777697203353763692213493936642284270553914977279037376420725273661217013070889114345463579793465686233852405442819522622870578873191640495724926754233964874124261928442251879
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 620
c0: 1
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
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 8792400 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 42.96 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 7519114 x 7519339
Matrix solve time: 5.05 hours.
time per square root: 0.82 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: 49.25 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

275640896921087103239928900145481250104327606496745785435971520794569396326659442087548702128754756763350291038242103599255551514353689631162768809597377790219402282045293150558699376849537517123917803390927526933<213>

16064618189267056075921099851973283522339085351408141244242376326822239161291820887<83>
17158260076498160813790482721148350199650158780942931330382350927731118582547807510924267338333741349407297340887932072057085855859<131>

Number: n
N=275640896921087103239928900145481250104327606496745785435971520794569396326659442087548702128754756763350291038242103599255551514353689631162768809597377790219402282045293150558699376849537517123917803390927526933
  ( 213 digits)
SNFS difficulty: 223 digits.
Divisors found:

Thu Jul  5 06:38:03 2018  p83 factor: 16064618189267056075921099851973283522339085351408141244242376326822239161291820887
Thu Jul  5 06:38:03 2018  p131 factor: 17158260076498160813790482721148350199650158780942931330382350927731118582547807510924267338333741349407297340887932072057085855859
Thu Jul  5 06:38:03 2018  elapsed time 08:29:31 (Msieve 1.53 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.126).
Factorization parameters were as follows:
#
# 62x10^222+1 = 68(221)9
#
n: 275640896921087103239928900145481250104327606496745785435971520794569396326659442087548702128754756763350291038242103599255551514353689631162768809597377790219402282045293150558699376849537517123917803390927526933
m: 10000000000000000000000000000000000000
deg: 6
c6: 62
c0: 1
skew: 0.50
# Murphy_E = 2.344e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 72600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14157225 hash collisions in 73455650 relations (61556596 unique)
Msieve: matrix is 4419295 x 4419522 (1258.2 MB)

Sieving start time: 2018/07/03 01:04:23
Sieving end time  : 2018/07/04 22:06:27

Total sieving time: 45hrs 2min 4secs.
Total relation processing time: 7hrs 38min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 30min 7sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.036000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16286688K/16703460K available (12300K kernel code, 2470K rwdata, 4240K rodata, 2408K init, 2416K bss, 416772K reserved, 0K cma-reserved)
[    0.068627] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.28 BogoMIPS (lpj=11978572)
[    0.066213] smpboot: Total of 16 processors activated (95828.57 BogoMIPS)

6088054979329522837612797069406030532245198970529310143540828270863528357195033898536740230663580741064800837291120407102284313884110887356050719775469498547058788636943416903236942862420864423856566526114336637807<214>

76259603770114097228929838543<29>
79833288901973193147273110927443640595096198834122657589766259302867919362441388491712317207372650830912547869654951056314358237853876454537641692090923772169826187662994947739738724449<185>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3105911689
Step 1 took 11301ms
Step 2 took 7804ms
********** Factor found in step 2: 76259603770114097228929838543
Found probable prime factor of 29 digits: 76259603770114097228929838543
Probable prime cofactor 

88645711281854638074705836284764971234139000894429730404902199346402562948522150323863149265328744899947515011510369161880096578123759802808498963780467468738598206868046725074858627157756181914519819848408851<209>

27267904817864047300061001421137897756428999270209146011557209051111897776873872256752154882951234241262500283894551080054719852630091789588956120568714863805460796839555418526399<179>

5709437593839557593715694179577815719<37>

4775935347342428603388443059556149013071469202443945962913671272882602568658103321763417496725211396472255943942346266873614955630507373447721<142>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=503207709
Step 1 took 17165ms
Step 2 took 12926ms
********** Factor found in step 2: 5709437593839557593715694179577815719
Found probable prime factor of 37 digits: 5709437593839557593715694179577815719
Composite cofactor

4775935347342428603388443059556149013071469202443945962913671272882602568658103321763417496725211396472255943942346266873614955630507373447721<142>

1041052550734730479844739135491652592027680670297781200412033<61>
4587602560477640799968985374357729624280210153654504596691300637466951791219642537<82>

Number: 68889_230
N = 4775935347342428603388443059556149013071469202443945962913671272882602568658103321763417496725211396472255943942346266873614955630507373447721 (142 digits)
Divisors found:
r1=1041052550734730479844739135491652592027680670297781200412033 (pp61)
r2=4587602560477640799968985374357729624280210153654504596691300637466951791219642537 (pp82)
Version: Msieve v. 1.51 (SVN 845)
Total time: 451.04 hours.
Factorization parameters were as follows:
# Murphy_E = 1.735e-11, selected by Maksym Voznyy
# selected by CADO-NFS, optimized by Msieve
n: 4775935347342428603388443059556149013071469202443945962913671272882602568658103321763417496725211396472255943942346266873614955630507373447721
Y0: -2059026508242593731165689711
Y1: 127856556530766476479
c0: -23057807085608086270106627499808
c1: 4239582786101289576922636882
c2: 103994893002131417186695
c3: -4792845885649453
c4: -557486654352
c5: 550800
skew: 322587.16
type: gnfs
# selected mechanically
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23202126
Relations: 4139482 relations
Pruned matrix : 2558544 x 2558769
Polynomial selection time: 0.00 hours.
Total sieving time: 444.16 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 6.29 hours.
time per square root: 0.40 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,20000000,20000000,28,28,56,56,2.6,2.6,100000
total time: 451.04 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

475555721984903985845712340124021875794715156640620381724766885457457321427161986096941364884604543608762327554668522499944969362948307701642927877563588549880603962963824915048074789525961583893330093<201>

29147494058387880705224287152294823893132598325886738634792895790413318073479887616182333399315744723970512080685928532656531399373678303067326127882101543161205210418545897408362417837245080841804208890006875089<212>

1810073271723035547961253941075359460759<40>

16102936004707671056082608126505236770415656947097042624973565043751224635925996300642769382882879359511516085886633798678827341751174961479730602974518830414316402128006871<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=121813158
Step 1 took 18032ms
Step 2 took 7576ms
********** Factor found in step 2: 1810073271723035547961253941075359460759
Found probable prime factor of 40 digits: 1810073271723035547961253941075359460759
Composite cofactor