965958296342699794753572981872097062462295422828102753260690849120541919044714347802585323233317<96>

280004806321731330653399192607151<33>
3449791841190017557092461644422967826444086977263646737250524267<64>

Number: 82221_108
N=965958296342699794753572981872097062462295422828102753260690849120541919044714347802585323233317
  ( 96 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=280004806321731330653399192607151 (pp33)
 r2=3449791841190017557092461644422967826444086977263646737250524267 (pp64)
Version: Msieve v. 1.43
Total time: 1.45 hours.
Scaled time: 3.11 units (timescale=2.137).
Factorization parameters were as follows:
n: 965958296342699794753572981872097062462295422828102753260690849120541919044714347802585323233317 
m: 1000000000000000000000 
deg: 5 
c5: 74000 
c0: -11 
skew: 0.17 
type: snfs 
lss: 1 
rlim: 470000 
alim: 470000 
lpbr: 25 
lpba: 25 
mfbr: 44 
mfba: 44 
rlambda: 2.2 
alambda: 2.2
qintsize: 100000 
Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 435001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 48972 x 49197
Total sieving time: 1.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs ,109.000,5,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,
total time: 1.45 hours.
 --------- CPU info (if available) ----------

1320216153755273927910012075904226651190890413647306845592245074539516006393358021777710064943037907<100>

6673514037470993699331018077083<31>
197829231547639824992485686472168257393106666913709688939566227967529<69>

N=1320216153755273927910012075904226651190890413647306845592245074539516006393358021777710064943037907
  ( 100 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=6673514037470993699331018077083 (pp31)
 r2=197829231547639824992485686472168257393106666913709688939566227967529 (pp69)
Version: Msieve-1.40
Total time: 1.41 hours.
Scaled time: 1.32 units (timescale=0.933).
Factorization parameters were as follows:
n: 1320216153755273927910012075904226651190890413647306845592245074539516006393358021777710064943037907
m: 10000000000000000000000
deg: 5
c5: 74000
c0: -11
skew: 0.17
type: snfs
lss: 1
rlim: 570000
alim: 570000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 570000/570000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [285000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65340 x 65565
Total sieving time: 1.37 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,570000,570000,25,25,45,45,2.2,2.2,50000
total time: 1.41 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

261608172436720382606215129225871654916138363802507815884304037986702568966357301243937997429477289369213<105>

1181001568097894163972473995712254191971378231<46>
221513823100220872937462949328412865729151478395929586802923<60>

Number: 82221_114
N=261608172436720382606215129225871654916138363802507815884304037986702568966357301243937997429477289369213
  ( 105 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=1181001568097894163972473995712254191971378231 (pp46)
 r2=221513823100220872937462949328412865729151478395929586802923 (pp60)
Version: Msieve v. 1.43
Total time: 1.63 hours.
Scaled time: 3.47 units (timescale=2.131).
Factorization parameters were as follows:
n: 261608172436720382606215129225871654916138363802507815884304037986702568966357301243937997429477289369213 
m: 20000000000000000000000 
deg: 5 
c5: 23125 
c0: -11 
skew: 0.22 
type: snfs 
lss: 1 
rlim: 600000 
alim: 600000 
lpbr: 25 
lpba: 25 
mfbr: 45 
mfba: 45 
rlambda: 2.2 
alambda: 2.2  
qintsize: 100000 
Factor 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, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63346 x 63571
Total sieving time: 1.60 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,
total time: 1.63 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve v1.43

Pentium 4  Windows Vista and Cygwin

3471568954327738742147397092424517774410349983735849045476171895927444020628872359666109588098979<97>

12154798857102922188148501854223812533<38>
285613031950672848878992014562017580106502054929170643951863<60>

Number: 82221_115
N=3471568954327738742147397092424517774410349983735849045476171895927444020628872359666109588098979
  ( 97 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=12154798857102922188148501854223812533 (pp38)
 r2=285613031950672848878992014562017580106502054929170643951863 (pp60)
Version: Msieve v. 1.43
Total time: 1.73 hours.
Scaled time: 3.71 units (timescale=2.144).
Factorization parameters were as follows:
n: 3471568954327738742147397092424517774410349983735849045476171895927444020628872359666109588098979 
m: 100000000000000000000000 
deg: 5 
c5: 74 
c0: -11
skew: 0.68 
type: snfs 
lss: 1 
rlim: 620000 
alim: 620000 
lpbr: 25 
lpba: 25 
mfbr: 45 
mfba: 45 
rlambda: 2.2 
alambda: 2.2 
qintsize: 100000 
Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56558 x 56787
Total sieving time: 1.70 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs ,116.000,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,
total time: 1.73 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

13629856139564828827007896742120138136649259595214248532777613008081724938242581132614035804975776636772833<107>

870130675635869377849091365342454625217975699<45>
15664148525282684063173194554626061122889997334428522821899067<62>

SNFS difficulty: 121 digits.
Divisors found:
 r1=870130675635869377849091365342454625217975699 (pp45)
 r2=15664148525282684063173194554626061122889997334428522821899067 (pp62)
Version: Msieve v. 1.44 SVN157
Total time: 0.99 hours.
Scaled time: 2.38 units (timescale=2.400).
Factorization parameters were as follows:
n: 13629856139564828827007896742120138136649259595214248532777613008081724938242581132614035804975776636772833
m: 1000000000000000000000000
c5: 37
c0: -55
skew: 1
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 48
mfba: 48
rlambda: 2.4
alambda: 2.4
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 48/48
Sieved rational special-q in [450000, 650001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 101473 x 101700
Total sieving time: 0.91 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,720000,720000,25,25,48,48,2.4,2.4,50000
total time: 0.99 hours.

49692169111886005744944096872882699844186402079541467501978176365150633406406000477436383849273780235081821<107>

7106028033204610610559171631753<31>
98735646101573691729907701103956499<35>
70825078681952061269481089265797276597143<41>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2516828111
Step 1 took 4576ms
Step 2 took 2928ms
********** Factor found in step 2: 7106028033204610610559171631753
Found probable prime factor of 31 digits: 7106028033204610610559171631753
Composite cofactor has 76 digits

starting SIQS on c76: 6992959903857330019260851742891966155880459405480352244673515617016619682357

==== sieve params ====
n = 76 digits, 252 bits
factor base: 30260 primes (max prime = 752977)
single large prime cutoff: 64003045 (85 * pmax)
using 21 large prime slices of factor base
buckets hold 1024 elements
sieve interval: 5 blocks of size 65536
polynomial A has ~ 9 factors
using multiplier of 1
using small prime variation correction of 20 bits
using SSE2 for trial division and x64 sieve scanning
trial factoring cutoff at 89 bits

==== sieving in progress (1 thread):   30324 relations needed ====
====           Press ctrl-c to abort and save state           ====
 30321 rels: 15149 full + 15172 from 158218 partial, (904.31 rels/sec)
sieve time = 84.1094, relation time = 29.6572, poly_time = 77.8770
trial division touched 2005729 sieve locations out of 11579723612160
QS elapsed time = 194.9185 seconds.

==== post processing stage (msieve-1.38) ====
begin with 173675 relations
reduce to 43722 relations in 2 passes
attempting to read 43722 relations
recovered 43722 relations
recovered 32056 polynomials
attempting to build 30404 cycles
found 30404 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 15188
   length 2 : 15216
largest cycle: 2 relations
seed1 = 870784338, seed2 = 3091378852
matrix is 30260 x 30404 (4.1 MB) with weight 831491 (27.35/col)
sparse part has weight 831491 (27.35/col)
filtering completed in 4 passes
matrix is 26302 x 26366 (3.5 MB) with weight 708536 (26.87/col)
sparse part has weight 708536 (26.87/col)
saving the first 48 matrix rows for later
matrix is 26254 x 26366 (3.1 MB) with weight 588337 (22.31/col)
sparse part has weight 545118 (20.68/col)
matrix includes 64 packed rows
commencing Lanczos iteration
memory use: 4.1 MB
lanczos halted after 417 iterations (dim = 26246)
recovered 12 nontrivial dependencies
Lanczos elapsed time = 15.7400 seconds.
Sqrt elapsed time = 0.4700 seconds.
SIQS elapsed time = 215.2561 seconds.


***factors found***

PRP41 = 70825078681952061269481089265797276597143
PRP35 = 98735646101573691729907701103956499

429060415993525419317446046295583388438307151610961340039894595800206371145926521499108159592091<96>

7873774553675642667619778637788378119<37>
54492342023335052426405252922981566988128597856530657520589<59>

Number: 82221_126
N=429060415993525419317446046295583388438307151610961340039894595800206371145926521499108159592091
  ( 96 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=7873774553675642667619778637788378119 (pp37)
 r2=54492342023335052426405252922981566988128597856530657520589 (pp59)
Version: Msieve v. 1.43
Total time: 3.86 hours.
Scaled time: 8.24 units (timescale=2.137).
Factorization parameters were as follows:
n: 429060415993525419317446046295583388438307151610961340039894595800206371145926521499108159592091 
m: 10000000000000000000000000 
deg: 5 
c5: 740 
c0: -11 
skew: 0.43 
type: snfs 
lss: 1 
rlim: 950000 
alim: 950000 
lpbr: 26 
lpba: 26 
mfbr: 46 
mfba: 46 
rlambda: 2.3 
alambda: 2.3 
qintsize: 100000 
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 875001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 117607 x 117832
Total sieving time: 3.77 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs ,127.000,5,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,
total time: 3.86 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

13312158978685685153803232620358737970168380858710680831695593543637214276582164392225365100778471<98>

37317144512271336788956213169659307<35>
356730375613496541028190518809648354289407778804538819681193653<63>

Number: 82221_131
N=13312158978685685153803232620358737970168380858710680831695593543637214276582164392225365100778471
  ( 98 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=37317144512271336788956213169659307 (pp35)
 r2=356730375613496541028190518809648354289407778804538819681193653 (pp63)
Version: Msieve-1.40
Total time: 4.04 hours.
Scaled time: 8.03 units (timescale=1.988).
Factorization parameters were as follows:
name: 82221_131
n: 13312158978685685153803232620358737970168380858710680831695593543637214276582164392225365100778471
m: 100000000000000000000000000
deg: 5
c5: 740
c0: -11
skew: 0.43
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, 1075001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 172479 x 172710
Total sieving time: 3.80 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.09 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: 4.04 hours.
 --------- CPU info (if available) ----------

27407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407<134>

880500255505631351042341007438609866227248606054946936229<57>
31127086262648017888891124845598357440730217956374972076658366365436016847683<77>

N=27407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407
  ( 134 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=880500255505631351042341007438609866227248606054946936229 (pp57)
 r2=31127086262648017888891124845598357440730217956374972076658366365436016847683 (pp77)
Version: Msieve-1.40
Total time: 6.15 hours.
Scaled time: 5.73 units (timescale=0.933).
Factorization parameters were as follows:
n: 27407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407
m: 100000000000000000000000000
deg: 5
c5: 74000
c0: -11
skew: 0.17
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1520001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 185930 x 186162
Total sieving time: 5.93 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,75000
total time: 6.15 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

822222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<138>

3989171378492494644064663177060991<34>
1089248565930454992062793436775327135330341494729973<52>
189225437950633518121508016978459022362313769834648647<54>

N=822222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
  ( 138 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=3989171378492494644064663177060991 (pp34)
 r2=1089248565930454992062793436775327135330341494729973 (pp52)
 r3=189225437950633518121508016978459022362313769834648647 (pp54)
Version: Msieve-1.40
Total time: 6.99 hours.
Scaled time: 6.53 units (timescale=0.934).
Factorization parameters were as follows:
n: 822222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
m: 1000000000000000000000000000
deg: 5
c5: 7400
c0: -11
skew: 0.27
type: snfs
lss: 1
rlim: 1440000
alim: 1440000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1440000/1440000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [720000, 1695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 253579 x 253804
Total sieving time: 6.72 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,138.000,5,0,0,0,0,0,0,0,0,1440000,1440000,26,26,48,48,2.3,2.3,75000
total time: 6.99 hours.
 --------- CPU info (if available) ----------

225398276139876700381639838112046730813993475147869130116479879810575051052983948703<84>

200257418771463518302181025169<30>
1125542701602002917087529733394743103351330712689111087<55>

Wed Dec 30 20:40:44 2009  Msieve v. 1.44
Wed Dec 30 20:40:44 2009  random seeds: 98de21f7 6417f164
Wed Dec 30 20:40:44 2009  factoring 225398276139876700381639838112046730813993475147869130116479879810575051052983948703 (84 digits)
Wed Dec 30 20:40:45 2009  searching for 15-digit factors
Wed Dec 30 20:40:46 2009  commencing quadratic sieve (84-digit input)
Wed Dec 30 20:40:46 2009  using multiplier of 7
Wed Dec 30 20:40:46 2009  using 32kb Intel Core sieve core
Wed Dec 30 20:40:46 2009  sieve interval: 12 blocks of size 32768
Wed Dec 30 20:40:46 2009  processing polynomials in batches of 17
Wed Dec 30 20:40:46 2009  using a sieve bound of 1388837 (53235 primes)
Wed Dec 30 20:40:46 2009  using large prime bound of 120828819 (26 bits)
Wed Dec 30 20:40:46 2009  using trial factoring cutoff of 27 bits
Wed Dec 30 20:40:46 2009  polynomial 'A' values have 11 factors
Wed Dec 30 21:20:42 2009  53337 relations (26752 full + 26585 combined from 284771 partial), need 53331
Wed Dec 30 21:20:42 2009  begin with 311523 relations
Wed Dec 30 21:20:42 2009  reduce to 76624 relations in 2 passes
Wed Dec 30 21:20:42 2009  attempting to read 76624 relations
Wed Dec 30 21:20:43 2009  recovered 76624 relations
Wed Dec 30 21:20:43 2009  recovered 71450 polynomials
Wed Dec 30 21:20:43 2009  attempting to build 53337 cycles
Wed Dec 30 21:20:44 2009  found 53337 cycles in 1 passes
Wed Dec 30 21:20:44 2009  distribution of cycle lengths:
Wed Dec 30 21:20:44 2009     length 1 : 26752
Wed Dec 30 21:20:44 2009     length 2 : 26585
Wed Dec 30 21:20:44 2009  largest cycle: 2 relations
Wed Dec 30 21:20:44 2009  matrix is 53235 x 53337 (8.2 MB) with weight 1711885 (32.10/col)
Wed Dec 30 21:20:44 2009  sparse part has weight 1711885 (32.10/col)
Wed Dec 30 21:20:44 2009  filtering completed in 3 passes
Wed Dec 30 21:20:44 2009  matrix is 39767 x 39831 (6.6 MB) with weight 1406476 (35.31/col)
Wed Dec 30 21:20:44 2009  sparse part has weight 1406476 (35.31/col)
Wed Dec 30 21:20:44 2009  saving the first 48 matrix rows for later
Wed Dec 30 21:20:44 2009  matrix is 39719 x 39831 (4.3 MB) with weight 1048181 (26.32/col)
Wed Dec 30 21:20:44 2009  sparse part has weight 734480 (18.44/col)
Wed Dec 30 21:20:44 2009  matrix includes 64 packed rows
Wed Dec 30 21:20:44 2009  using block size 15932 for processor cache size 4096 kB
Wed Dec 30 21:20:44 2009  commencing Lanczos iteration
Wed Dec 30 21:20:44 2009  memory use: 4.7 MB
Wed Dec 30 21:20:50 2009  lanczos halted after 630 iterations (dim = 39716)
Wed Dec 30 21:20:50 2009  recovered 15 nontrivial dependencies
Wed Dec 30 21:20:50 2009  prp30 factor: 200257418771463518302181025169
Wed Dec 30 21:20:50 2009  prp55 factor: 1125542701602002917087529733394743103351330712689111087
Wed Dec 30 21:20:50 2009  elapsed time 00:40:06

msieve 1.44 SVN

Core 2 Duo T7200, 2 GB RAM

5560273817262154438561403679413314540735234178297250181640572919867851788517244109392875261840972139656945720673712128831<121>

346961166726588428603553629940752629665932831213<48>
16025637306101605074011516528621808555300601471924584871978040633271684187<74>

Number: 82221_141
N=5560273817262154438561403679413314540735234178297250181640572919867851788517244109392875261840972139656945720673712128831
  ( 121 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=346961166726588428603553629940752629665932831213 (pp48)
 r2=16025637306101605074011516528621808555300601471924584871978040633271684187 (pp74)
Version: Msieve v. 1.42
Total time: 0.28 hours.
Scaled time: 0.22 units (timescale=0.796).
Factorization parameters were as follows:
name: 82221_141
n: 5560273817262154438561403679413314540735234178297250181640572919867851788517244109392875261840972139656945720673712128831
m: 10000000000000000000000000000
deg: 5
c5: 740
c0: -11
skew: 0.43
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 1940001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 269522 x 269747
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,100000
total time: 0.28 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: 5 hours 53 min.

139731199046724364137058640167289613691756246316619790344746277761068299947838748584870743034874394546401402323536993<117>

71298462826498960655810060026806761<35>
774595524037916813898173100038859037<36>
2530103200471536162763457256235524766757391949<46>

Number: 82221_142
N=139731199046724364137058640167289613691756246316619790344746277761068299947838748584870743034874394546401402323536993
  ( 117 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=71298462826498960655810060026806761 (pp35)
 r2=774595524037916813898173100038859037 (pp36)
 r3=2530103200471536162763457256235524766757391949 (pp46)
Version: Msieve-1.40
Total time: 10.68 hours.
Scaled time: 21.76 units (timescale=2.038).
Factorization parameters were as follows:
name: 82221_142
n: 139731199046724364137058640167289613691756246316619790344746277761068299947838748584870743034874394546401402323536993
m: 10000000000000000000000000000
deg: 5
c5: 7400
c0: -11
skew: 0.27
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 2175001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 323668 x 323916
Total sieving time: 9.98 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 10.68 hours.
 --------- CPU info (if available) ----------

112567432500865739755703780550195180111480144626616701941212585661822859189287451106469526421989315056329277<108>

2262186114862823704055353056311<31>
216181815780095593847187248030695664551<39>
230178771527478244556192643189440449757<39>

Number: 82221_143
N=112567432500865739755703780550195180111480144626616701941212585661822859189287451106469526421989315056329277
  ( 108 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=2262186114862823704055353056311 (pp31)
 r2=216181815780095593847187248030695664551 (pp39)
 r3=230178771527478244556192643189440449757 (pp39)
Version: Msieve-1.40
Total time: 10.11 hours.
Scaled time: 33.80 units (timescale=3.344).
Factorization parameters were as follows:
name: 82221_143
n: 112567432500865739755703780550195180111480144626616701941212585661822859189287451106469526421989315056329277
m: 10000000000000000000000000000
deg: 5
c5: 74000
c0: -11
skew: 0.17
type: snfs
lss: 1
rlim: 1820000
alim: 1820000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1820000/1820000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [910000, 2610001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 325821 x 326069
Total sieving time: 9.80 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1820000,1820000,26,26,49,49,2.3,2.3,100000
total time: 10.11 hours.
 --------- CPU info (if available) ----------

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

32659678280465940272583750919334262793015965021441488750674449470537485711169958363280364659134111193250322721676954003701<122>

65644949779495998548605311089108603<35>
497520043661715039805263208424745950040244210144960573160946521007641532742073922489167<87>

N=32659678280465940272583750919334262793015965021441488750674449470537485711169958363280364659134111193250322721676954003701
  ( 122 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=65644949779495998548605311089108603 (pp35)
 r2=497520043661715039805263208424745950040244210144960573160946521007641532742073922489167 (pp87)
Version: Msieve-1.40
Total time: 12.08 hours.
Scaled time: 11.28 units (timescale=0.934).
Factorization parameters were as follows:
n: 32659678280465940272583750919334262793015965021441488750674449470537485711169958363280364659134111193250322721676954003701
m: 20000000000000000000000000000
deg: 5
c5: 23125
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2545001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 273736 x 273961
Total sieving time: 11.84 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 12.08 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

3639623930378284878830713578586467494968302340715789399867161670686102198120778431364584216373627373693353607236976161<118>

1652226931504055043981744630497738767<37>
2202859583619704595242235350795898265270657599159433528988900238195692457468325583<82>

N=3639623930378284878830713578586467494968302340715789399867161670686102198120778431364584216373627373693353607236976161
  ( 118 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=1652226931504055043981744630497738767 (pp37)
 r2=2202859583619704595242235350795898265270657599159433528988900238195692457468325583 (pp82)
Version: Msieve-1.40
Total time: 18.33 hours.
Scaled time: 17.12 units (timescale=0.934).
Factorization parameters were as follows:
n: 3639623930378284878830713578586467494968302340715789399867161670686102198120778431364584216373627373693353607236976161
m: 100000000000000000000000000000
deg: 5
c5: 74000
c0: -11
skew: 0.17
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 3500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 432131 x 432356
Total sieving time: 17.81 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 18.33 hours.
 --------- CPU info (if available) ----------

ggnfs/msieve

26040051828235290858405248558610861921457116548694978394131627417885049996525322994844270863026581<98>

2002006950457821097108221216415097<34>
13006973738168303497417536218328529592769241244640693733861208573<65>

Number: 82221_149
N=26040051828235290858405248558610861921457116548694978394131627417885049996525322994844270863026581
  ( 98 digits)
Divisors found:
 r1=2002006950457821097108221216415097 (pp34)
 r2=13006973738168303497417536218328529592769241244640693733861208573 (pp65)
Version: Msieve-1.40
Total time: 4.48 hours.
Scaled time: 9.18 units (timescale=2.051).
Factorization parameters were as follows:
name: 82221_149
n: 26040051828235290858405248558610861921457116548694978394131627417885049996525322994844270863026581
skew: 5063.53
# norm 6.48e+13
c5: 42000
c4: 117470008
c3: -4143077465145
c2: 22869191795035591
c1: 40654086890001756561
c0: -325780752970354793735
# alpha -6.15
Y1: 18367110487
Y0: -3618072605077533498
# Murphy_E 4.46e-09
# M 2877276600787159591108497998556665651270985714435942259703305017989450532873820142354213457405466
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 205185 x 205431
Polynomial selection time: 0.40 hours.
Total sieving time: 3.80 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.48 hours.
 --------- CPU info (if available) ----------

57729721119040320459088954615762194327138399962018712344197461109166729650130463146133314597208581725562242475027769128119991<125>

269858496578815618905990641246812425718599511<45>
213925897649769268746380868356663648378505071057529604075790650063805388002123681<81>

Number: 82221_151
N=57729721119040320459088954615762194327138399962018712344197461109166729650130463146133314597208581725562242475027769128119991
  ( 125 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=269858496578815618905990641246812425718599511 (pp45)
 r2=213925897649769268746380868356663648378505071057529604075790650063805388002123681 (pp81)
Version: Msieve v. 1.42
Total time: 1.28 hours.
Scaled time: 1.02 units (timescale=0.796).
Factorization parameters were as follows:
name: 82221_151
n: 57729721119040320459088954615762194327138399962018712344197461109166729650130463146133314597208581725562242475027769128119991
m: 1000000000000000000000000000000
deg: 5
c5: 740
c0: -11
skew: 0.43
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 524252 x 524500
Total sieving time: 0.00 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.89 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 1.28 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.. 3721.37 BogoMIPS (lpj=1860686)
Calibrating delay using timer specific routine.. 5284.00 BogoMIPS (lpj=2642001)
Total of 2 processors activated (9005.37 BogoMIPS).

Total time: 14 hours 14 min.

18705813831680387340240914594053633004686234975565006577172538421626876198876728956878511583617516209111275362430775787859<122>

4364508568833193383190234511213155623593299055249<49>
4285892337400358198507082891195773419354473434555068841583347567499689891<73>

Number: 82221_153
N=18705813831680387340240914594053633004686234975565006577172538421626876198876728956878511583617516209111275362430775787859
  ( 122 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=4364508568833193383190234511213155623593299055249 (pp49)
 r2=4285892337400358198507082891195773419354473434555068841583347567499689891 (pp73)
Version: Msieve-1.40
Total time: 28.71 hours.
Scaled time: 72.45 units (timescale=2.524).
Factorization parameters were as follows:
name: 82221_153
n: 18705813831680387340240914594053633004686234975565006577172538421626876198876728956878511583617516209111275362430775787859
m: 1000000000000000000000000000000
deg: 5
c5: 74000
c0: -11
skew: 0.17
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 489443 x 489691
Total sieving time: 27.92 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 28.71 hours.
 --------- CPU info (if available) ----------

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

216584009916845654229675352209324567235327525227243321710650485364283964122332639144938191<90>

153300831171188817008778420890659773169<39>
1412803885420486914510831729333904595361386414293439<52>

===============================================================
======= Welcome to YAFU (Yet Another Factoring Utility) =======
=======             bbuhrow@gmail.com                   =======
=======     Type help at any time, or quit to quit      =======
===============================================================

>> siqs(216584009916845654229675352209324567235327525227243321710650485364283964122332639144938191)


starting SIQS on c90: 216584009916845654229675352209324567235327525227243321710650485364283964122332639144938191

==== sieving in progress ( 2 threads):   64714 relations needed ====
====            Press ctrl-c to abort and save state            ====
64754 rels found: 18910 full + 45844 from 755266 partial, (378.05 rels/sec)

SIQS elapsed time = 2083.8049 seconds.


***factors found***

PRP52 = 1412803885420486914510831729333904595361386414293439
PRP39 = 153300831171188817008778420890659773169

yafu 1.17 for 64-bit Linux

Core 2 Duo T7200

213635278730480852175411194927012233523114066241618711531346984437324799443687037419484669632055162979838055540078398359<120>

1399704968268939120263928176007738833<37>
152628792190893330512667317957150843600083059023378801527717334912563497995221384423<84>

Number: 82221_157
N=213635278730480852175411194927012233523114066241618711531346984437324799443687037419484669632055162979838055540078398359
  ( 120 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=1399704968268939120263928176007738833 (pp37)
 r2=152628792190893330512667317957150843600083059023378801527717334912563497995221384423 (pp84)
Version: Msieve v. 1.42
Total time: 1.53 hours.
Scaled time: 1.22 units (timescale=0.796).
Factorization parameters were as follows:
name: 82221_157
n: 213635278730480852175411194927012233523114066241618711531346984437324799443687037419484669632055162979838055540078398359
m: 10000000000000000000000000000000
deg: 5
c5: 7400
c0: -11
skew: 0.27
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 610509 x 610734
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.21 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 1.53 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.. 3721.37 BogoMIPS (lpj=1860686)
Calibrating delay using timer specific routine.. 5284.00 BogoMIPS (lpj=2642001)
Total of 2 processors activated (9005.37 BogoMIPS).

Total time: 27 hours.

115590590911696703373240175648247714502255830721438513070526345513769654891814402234670047998007563353568900917<111>

9928758151182349614392176102307<31>
646973397690287943358592112168152017<36>
17994555703348915014344984809530464652187543<44>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2376824820
Step 1 took 16629ms
Step 2 took 13432ms
********** Factor found in step 2: 9928758151182349614392176102307
Found probable prime factor of 31 digits: 9928758151182349614392176102307
Composite cofactor 11641998843322796671211425045860691491990681530267460685220233918673354817724231 has 80 digits

Sat Mar 20 17:40:46 2010  Msieve v. 1.43
Sat Mar 20 17:40:46 2010  random seeds: 7360a124 d2696f6a
Sat Mar 20 17:40:46 2010  factoring 11641998843322796671211425045860691491990681530267460685220233918673354817724231 (80 digits)
Sat Mar 20 17:40:47 2010  searching for 15-digit factors
Sat Mar 20 17:40:47 2010  commencing quadratic sieve (80-digit input)
Sat Mar 20 17:40:47 2010  using multiplier of 7
Sat Mar 20 17:40:47 2010  using VC8 32kb sieve core
Sat Mar 20 17:40:47 2010  sieve interval: 12 blocks of size 32768
Sat Mar 20 17:40:47 2010  processing polynomials in batches of 17
Sat Mar 20 17:40:47 2010  using a sieve bound of 1181647 (45941 primes)
Sat Mar 20 17:40:47 2010  using large prime bound of 118164700 (26 bits)
Sat Mar 20 17:40:47 2010  using trial factoring cutoff of 27 bits
Sat Mar 20 17:40:47 2010  polynomial 'A' values have 10 factors
Sat Mar 20 17:54:02 2010  46279 relations (23715 full + 22564 combined from 250276 partial), need 46037
Sat Mar 20 17:54:02 2010  begin with 273991 relations
Sat Mar 20 17:54:02 2010  reduce to 65991 relations in 2 passes
Sat Mar 20 17:54:02 2010  attempting to read 65991 relations
Sat Mar 20 17:54:03 2010  recovered 65991 relations
Sat Mar 20 17:54:03 2010  recovered 54929 polynomials
Sat Mar 20 17:54:03 2010  attempting to build 46279 cycles
Sat Mar 20 17:54:03 2010  found 46279 cycles in 1 passes
Sat Mar 20 17:54:03 2010  distribution of cycle lengths:
Sat Mar 20 17:54:03 2010     length 1 : 23715
Sat Mar 20 17:54:03 2010     length 2 : 22564
Sat Mar 20 17:54:03 2010  largest cycle: 2 relations
Sat Mar 20 17:54:03 2010  matrix is 45941 x 46279 (6.7 MB) with weight 1397772 (30.20/col)
Sat Mar 20 17:54:03 2010  sparse part has weight 1397772 (30.20/col)
Sat Mar 20 17:54:04 2010  filtering completed in 3 passes
Sat Mar 20 17:54:04 2010  matrix is 32692 x 32755 (5.2 MB) with weight 1103739 (33.70/col)
Sat Mar 20 17:54:04 2010  sparse part has weight 1103739 (33.70/col)
Sat Mar 20 17:54:04 2010  saving the first 48 matrix rows for later
Sat Mar 20 17:54:04 2010  matrix is 32644 x 32755 (3.5 MB) with weight 812117 (24.79/col)
Sat Mar 20 17:54:04 2010  sparse part has weight 580697 (17.73/col)
Sat Mar 20 17:54:04 2010  matrix includes 64 packed rows
Sat Mar 20 17:54:04 2010  using block size 13102 for processor cache size 4096 kB
Sat Mar 20 17:54:04 2010  commencing Lanczos iteration
Sat Mar 20 17:54:04 2010  memory use: 3.8 MB
Sat Mar 20 17:54:08 2010  lanczos halted after 518 iterations (dim = 32643)
Sat Mar 20 17:54:08 2010  recovered 17 nontrivial dependencies
Sat Mar 20 17:54:08 2010  prp36 factor: 646973397690287943358592112168152017
Sat Mar 20 17:54:08 2010  prp44 factor: 17994555703348915014344984809530464652187543
Sat Mar 20 17:54:08 2010  elapsed time 00:13:22

GMP-ECM 6.2.3, Msieve 1.43

1964791185366060301988547322896712800924951785754540919864205803682568733461598425385493794635882202919562318832081263923821<124>

833830366505211225148680705559944708138076331191751<51>
2356344005077417461565121433927426696829996416546269623051686666558934571<73>

Number: 82221_163
N=1964791185366060301988547322896712800924951785754540919864205803682568733461598425385493794635882202919562318832081263923821
  ( 124 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=833830366505211225148680705559944708138076331191751 (pp51)
 r2=2356344005077417461565121433927426696829996416546269623051686666558934571 (pp73)
Version: Msieve-1.40
Total time: 86.06 hours.
Scaled time: 204.32 units (timescale=2.374).
Factorization parameters were as follows:
name: 82221_163
n: 1964791185366060301988547322896712800924951785754540919864205803682568733461598425385493794635882202919562318832081263923821
m: 100000000000000000000000000000000
deg: 5
c5: 74000
c0: -11
skew: 0.17
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 781508 x 781756
Total sieving time: 84.43 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.39 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 86.06 hours.
 --------- CPU info (if available) ----------

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

11621237201738734098015783254250131898946883554034727888561887251566885684132408647949260084810346086125066629317388516193003101731022889045111650985776949<155>

24555719619863487936632295570896281462931182241979329985754797804419<68>
473259891448595216624590487319071293153837430045954623523588969167582431254727772912871<87>

Number: 82221_164
N=11621237201738734098015783254250131898946883554034727888561887251566885684132408647949260084810346086125066629317388516193003101731022889045111650985776949
  ( 155 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=24555719619863487936632295570896281462931182241979329985754797804419 (pp68)
 r2=473259891448595216624590487319071293153837430045954623523588969167582431254727772912871 (pp87)
Version: Msieve-1.40
Total time: 69.72 hours.
Scaled time: 135.46 units (timescale=1.943).
Factorization parameters were as follows:
name: 82221_164
n: 11621237201738734098015783254250131898946883554034727888561887251566885684132408647949260084810346086125066629317388516193003101731022889045111650985776949
m: 200000000000000000000000000000000
deg: 5
c5: 23125
c0: -11
skew: 0.22
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 795936 x 796184
Total sieving time: 67.20 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.58 hours.
Time per square root: 0.81 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 69.72 hours.
 --------- CPU info (if available) ----------

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

123263799736470913632687733139288704047536659986245732527563543734782140952603533812159493423731205537661659536115257011303960973363144514451<141>

180713013971834527756830766838376923<36>

682096972582630363196275250464397053224532348021397585942126511079255793695719271323653067331145070612137<105>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3785405668
Step 1 took 2464ms
Step 2 took 1624ms
********** Factor found in step 2: 180713013971834527756830766838376923
Found probable prime factor of 36 digits: 180713013971834527756830766838376923
Composite cofactor has 105 digits

682096972582630363196275250464397053224532348021397585942126511079255793695719271323653067331145070612137<105>

356242719370455749525160381595966174395472218397<48>
1914697299043800920925499202383539019779299123770031911421<58>

Number: 82221_165
N = 682096972582630363196275250464397053224532348021397585942126511079255793695719271323653067331145070612137 (105 digits)
Divisors found:
r1=356242719370455749525160381595966174395472218397 (pp48)
r2=1914697299043800920925499202383539019779299123770031911421 (pp58)
Version: Msieve v. 1.44
Total time: 10.10 hours.
Factorization parameters were as follows:
n: 682096972582630363196275250464397053224532348021397585942126511079255793695719271323653067331145070612137
Y0: -231765322046326522506
Y1: 40312353917
c0: 123165506149098557376798529
c1: 6933696602984930483548
c2: -438891051120343579
c3: -6681470417788
c4: 49623750
c5: 1020
skew: 53891.73  
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [1250000, 2150000)
Total raw relations: 4781700
Relations: 478792 relations
Pruned matrix : 281601 x 281826
Polynomial selection time: 0.74 hours.
Total sieving time: 8.66 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.46 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,104,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 10.10 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

7832925809490542271336784054703460247901516835497972965820922379939241899802059847787198458818921808347358504546272479967821493971822637155589427667164163305918093<163>

12282174341422190513664184756456656787463150544675585342339203224117<68>
637747486051687477232218813972543723400921248158345089102984928372672952637450985536658998171129<96>

Number: ss163
N=7832925809490542271336784054703460247901516835497972965820922379939241899802059847787198458818921808347358504546272479967821493971822637155589427667164163305918093
  ( 163 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=12282174341422190513664184756456656787463150544675585342339203224117 (pp68)
 r2=637747486051687477232218813972543723400921248158345089102984928372672952637450985536658998171129 (pp96)
Version: Msieve-1.40
Total time: 48.22 hours.
Scaled time: 94.08 units (timescale=1.951).
Factorization parameters were as follows:
n: 7832925809490542271336784054703460247901516835497972965820922379939241899802059847787198458818921808347358504546272479967821493971822637155589427667164163305918093
m: 1000000000000000000000000000000000
deg: 5
c5: 740
c0: -11
skew: 0.43
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 837428 x 837653
Total sieving time: 47.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.01 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 48.22 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

369831092114091280478228185025111938889594489664397886134531003128393616744243612451113775497145249761044220933037176215112415743918133739120341<144>

19273339835578487317333932518589315811<38>
4236873921842034033888528072830141515403<40>
4528985185710485490486844809814969681777929605709982517062963747477<67>

Number: 82221_168
N=369831092114091280478228185025111938889594489664397886134531003128393616744243612451113775497145249761044220933037176215112415743918133739120341
  ( 144 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=19273339835578487317333932518589315811 (pp38)
 r2=4236873921842034033888528072830141515403 (pp40)
 r3=4528985185710485490486844809814969681777929605709982517062963747477 (pp67)
Version: Msieve-1.40
Total time: 90.79 hours.
Scaled time: 177.50 units (timescale=1.955).
Factorization parameters were as follows:
name: 82221_168
n: 369831092114091280478228185025111938889594489664397886134531003128393616744243612451113775497145249761044220933037176215112415743918133739120341
m: 1000000000000000000000000000000000
deg: 5
c5: 74000
c0: -11
skew: 0.17
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 6050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 992525 x 992773
Total sieving time: 87.44 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.59 hours.
Time per square root: 0.60 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 90.79 hours.
 --------- CPU info (if available) ----------

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

46475610192868741223390758178380125962234431806503039128183944678483789751695001747210779754293259695975401695333709221377863465497772389967<140>

3724986102552462090360727850182111<34>

12476720426157398365485083002269591564632957209095766089237298972361813241388041052964843525567409032273297<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2817275447
Step 1 took 20873ms
Step 2 took 15038ms
********** Factor found in step 2: 3724986102552462090360727850182111
Found probable prime factor of 34 digits: 3724986102552462090360727850182111
Composite cofactor 12476720426157398365485083002269591564632957209095766089237298972361813241388041052964843525567409032273297 has 107 digits

GMP-ECM 6.2.3

12476720426157398365485083002269591564632957209095766089237298972361813241388041052964843525567409032273297<107>

369702866884187823765956204346621087517362556639381<51>
33747967743149322002135075523923362873346571673703540237<56>

Number: g4
N=12476720426157398365485083002269591564632957209095766089237298972361813241388041052964843525567409032273297
  ( 107 digits)
Divisors found:
 r1=369702866884187823765956204346621087517362556639381 (pp51)
 r2=33747967743149322002135075523923362873346571673703540237 (pp56)
Version: Msieve-1.40
Total time: 7.91 hours.
Scaled time: 15.48 units (timescale=1.957).
Factorization parameters were as follows:
name: g4
n: 12476720426157398365485083002269591564632957209095766089237298972361813241388041052964843525567409032273297
skew: 6066.82
# norm 2.12e+014
c5: 84780
c4: -1542407454
c3: -7622067621826
c2: -37930611604067951
c1: 10676545364768861050
c0: 244855390759242128923616
# alpha -5.88
Y1: 428489921167
Y0: -171224284845165505251
# Murphy_E 1.87e-009
# M 8877211861660936875814356362798231298279143939944399546568498110458377322163425263073297823472605755279585
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, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 259402 x 259627
Polynomial selection time: 0.97 hours.
Total sieving time: 6.67 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.91 hours.
 --------- CPU info (if available) ----------

238076929611664580453225828344519747855555033394938312674995993953502308048054515601745825846256269719747195374142093403557147942751030590791021569477052538504752889<165>

33175572550367487582780446274973792799767240848337234673<56>
7176271916640286879787534791761697858202366352193795565654648510709777155677511378141138569325514724227757193<109>

Number: 1
N=238076929611664580453225828344519747855555033394938312674995993953502308048054515601745825846256269719747195374142093403557147942751030590791021569477052538504752889
  ( 165 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=33175572550367487582780446274973792799767240848337234673 (pp56)
 r2=7176271916640286879787534791761697858202366352193795565654648510709777155677511378141138569325514724227757193 (pp109)
Version: Msieve v. 1.43
Total time: 3.39 hours.
Scaled time: 7.86 units (timescale=2.315).
Factorization parameters were as follows:
n: 238076929611664580453225828344519747855555033394938312674995993953502308048054515601745825846256269719747195374142093403557147942751030590791021569477052538504752889
m: 10000000000000000000000000000000000
deg: 5
c5: 740
c0: -11
skew: 0.43
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 2650000)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 989338 x 989570
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 3.23 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 3.39 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

64256385779612546659975854575401649758862113147263470855690381820507124453884236792014508510061213181778700217856718131545573<125>

3625479745310971943185628615381832662068860013400999<52>
17723553927647448118604796519069501505697101868155336210793511704671681427<74>

Sun May 02 23:19:18 2010  Msieve v. 1.45
Sun May 02 23:19:18 2010  random seeds: fb382da0 386b62d8
Sun May 02 23:19:18 2010  factoring 64256385779612546659975854575401649758862113147263470855690381820507124453884236792014508510061213181778700217856718131545573 (125 digits)
Sun May 02 23:19:19 2010  searching for 15-digit factors
Sun May 02 23:19:20 2010  commencing number field sieve (125-digit input)
Sun May 02 23:19:20 2010  R0: -10000000000000000000000000000000000
Sun May 02 23:19:20 2010  R1:  1
Sun May 02 23:19:20 2010  A0: -11
Sun May 02 23:19:20 2010  A1:  0
Sun May 02 23:19:20 2010  A2:  0
Sun May 02 23:19:20 2010  A3:  0
Sun May 02 23:19:20 2010  A4:  0
Sun May 02 23:19:20 2010  A5:  74000
Sun May 02 23:19:20 2010  skew 0.17, size 1.673408e-012, alpha 0.311155, combined = 1.169785e-010
Sun May 02 23:19:20 2010  
Sun May 02 23:19:20 2010  commencing relation filtering
Sun May 02 23:19:20 2010  estimated available RAM is 3069.5 MB
Sun May 02 23:19:20 2010  commencing duplicate removal, pass 1
Sun May 02 23:22:20 2010  error -15 reading relation 11603515
Sun May 02 23:22:21 2010  found 1799398 hash collisions in 11689291 relations
Sun May 02 23:22:59 2010  added 373762 free relations
Sun May 02 23:23:00 2010  commencing duplicate removal, pass 2
Sun May 02 23:23:50 2010  found 1630886 duplicates and 10432167 unique relations
Sun May 02 23:23:50 2010  memory use: 53.3 MB
Sun May 02 23:23:50 2010  reading ideals above 720000
Sun May 02 23:23:51 2010  commencing singleton removal, initial pass
Sun May 02 23:27:30 2010  memory use: 344.5 MB
Sun May 02 23:27:30 2010  reading all ideals from disk
Sun May 02 23:27:47 2010  memory use: 314.6 MB
Sun May 02 23:27:54 2010  commencing in-memory singleton removal
Sun May 02 23:27:56 2010  begin with 10432167 relations and 11332505 unique ideals
Sun May 02 23:28:18 2010  reduce to 4653399 relations and 4459647 ideals in 16 passes
Sun May 02 23:28:18 2010  max relations containing the same ideal: 74
Sun May 02 23:28:23 2010  removing 336303 relations and 306589 ideals in 29714 cliques
Sun May 02 23:28:24 2010  commencing in-memory singleton removal
Sun May 02 23:28:24 2010  begin with 4317096 relations and 4459647 unique ideals
Sun May 02 23:28:32 2010  reduce to 4298161 relations and 4133965 ideals in 7 passes
Sun May 02 23:28:32 2010  max relations containing the same ideal: 72
Sun May 02 23:28:36 2010  removing 244243 relations and 214529 ideals in 29714 cliques
Sun May 02 23:28:36 2010  commencing in-memory singleton removal
Sun May 02 23:28:37 2010  begin with 4053918 relations and 4133965 unique ideals
Sun May 02 23:28:45 2010  reduce to 4043196 relations and 3908626 ideals in 8 passes
Sun May 02 23:28:45 2010  max relations containing the same ideal: 68
Sun May 02 23:28:50 2010  relations with 0 large ideals: 2842
Sun May 02 23:28:50 2010  relations with 1 large ideals: 1647
Sun May 02 23:28:50 2010  relations with 2 large ideals: 25342
Sun May 02 23:28:50 2010  relations with 3 large ideals: 157200
Sun May 02 23:28:50 2010  relations with 4 large ideals: 525059
Sun May 02 23:28:50 2010  relations with 5 large ideals: 1013348
Sun May 02 23:28:50 2010  relations with 6 large ideals: 1195100
Sun May 02 23:28:50 2010  relations with 7+ large ideals: 1122658
Sun May 02 23:28:50 2010  commencing 2-way merge
Sun May 02 23:28:56 2010  reduce to 2445757 relation sets and 2311187 unique ideals
Sun May 02 23:28:56 2010  commencing full merge
Sun May 02 23:30:05 2010  memory use: 241.9 MB
Sun May 02 23:30:05 2010  found 1229326 cycles, need 1213387
Sun May 02 23:30:05 2010  weight of 1213387 cycles is about 85007415 (70.06/cycle)
Sun May 02 23:30:05 2010  distribution of cycle lengths:
Sun May 02 23:30:05 2010  1 relations: 164777
Sun May 02 23:30:05 2010  2 relations: 147751
Sun May 02 23:30:05 2010  3 relations: 141201
Sun May 02 23:30:05 2010  4 relations: 124177
Sun May 02 23:30:05 2010  5 relations: 109919
Sun May 02 23:30:05 2010  6 relations: 92326
Sun May 02 23:30:05 2010  7 relations: 77503
Sun May 02 23:30:05 2010  8 relations: 65819
Sun May 02 23:30:05 2010  9 relations: 55675
Sun May 02 23:30:05 2010  10+ relations: 234239
Sun May 02 23:30:05 2010  heaviest cycle: 24 relations
Sun May 02 23:30:06 2010  commencing cycle optimization
Sun May 02 23:30:09 2010  start with 7156854 relations
Sun May 02 23:30:32 2010  pruned 175541 relations
Sun May 02 23:30:32 2010  memory use: 187.1 MB
Sun May 02 23:30:32 2010  distribution of cycle lengths:
Sun May 02 23:30:32 2010  1 relations: 164777
Sun May 02 23:30:32 2010  2 relations: 151067
Sun May 02 23:30:32 2010  3 relations: 146082
Sun May 02 23:30:32 2010  4 relations: 126993
Sun May 02 23:30:32 2010  5 relations: 112426
Sun May 02 23:30:32 2010  6 relations: 93174
Sun May 02 23:30:32 2010  7 relations: 78081
Sun May 02 23:30:32 2010  8 relations: 65572
Sun May 02 23:30:32 2010  9 relations: 54891
Sun May 02 23:30:32 2010  10+ relations: 220324
Sun May 02 23:30:32 2010  heaviest cycle: 24 relations
Sun May 02 23:30:34 2010  RelProcTime: 674
Sun May 02 23:30:34 2010  
Sun May 02 23:30:34 2010  commencing linear algebra
Sun May 02 23:30:34 2010  read 1213387 cycles
Sun May 02 23:30:38 2010  cycles contain 3916053 unique relations
Sun May 02 23:32:07 2010  read 3916053 relations
Sun May 02 23:32:16 2010  using 20 quadratic characters above 134217690
Sun May 02 23:32:43 2010  building initial matrix
Sun May 02 23:34:05 2010  memory use: 422.5 MB
Sun May 02 23:34:06 2010  read 1213387 cycles
Sun May 02 23:34:23 2010  matrix is 1213205 x 1213387 (344.4 MB) with weight 106782164 (88.00/col)
Sun May 02 23:34:23 2010  sparse part has weight 81797300 (67.41/col)
Sun May 02 23:34:47 2010  filtering completed in 2 passes
Sun May 02 23:34:47 2010  matrix is 1211249 x 1211431 (344.3 MB) with weight 106712476 (88.09/col)
Sun May 02 23:34:47 2010  sparse part has weight 81770427 (67.50/col)
Sun May 02 23:34:52 2010  read 1211431 cycles
Sun May 02 23:34:54 2010  matrix is 1211249 x 1211431 (344.3 MB) with weight 106712476 (88.09/col)
Sun May 02 23:34:54 2010  sparse part has weight 81770427 (67.50/col)
Sun May 02 23:34:54 2010  saving the first 48 matrix rows for later
Sun May 02 23:34:55 2010  matrix is 1211201 x 1211431 (325.1 MB) with weight 84769359 (69.97/col)
Sun May 02 23:34:55 2010  sparse part has weight 77946775 (64.34/col)
Sun May 02 23:34:55 2010  matrix includes 64 packed rows
Sun May 02 23:34:55 2010  using block size 65536 for processor cache size 3072 kB
Sun May 02 23:35:04 2010  commencing Lanczos iteration (2 threads)
Sun May 02 23:35:04 2010  memory use: 348.2 MB
Sun May 02 23:35:14 2010  linear algebra at 0.1%, ETA 3h58m
Mon May 03 03:28:22 2010  lanczos halted after 19154 iterations (dim = 1211199)
Mon May 03 03:28:27 2010  recovered 38 nontrivial dependencies
Mon May 03 03:28:28 2010  BLanczosTime: 14274
Mon May 03 03:28:28 2010  
Mon May 03 03:28:28 2010  commencing square root phase
Mon May 03 03:28:28 2010  reading relations for dependency 1
Mon May 03 03:28:29 2010  read 605077 cycles
Mon May 03 03:28:31 2010  cycles contain 1954816 unique relations
Mon May 03 03:30:07 2010  read 1954816 relations
Mon May 03 03:30:22 2010  multiplying 1954816 relations
Mon May 03 03:36:45 2010  multiply complete, coefficients have about 72.35 million bits
Mon May 03 03:36:45 2010  initial square root is modulo 156041
Mon May 03 03:49:43 2010  reading relations for dependency 2
Mon May 03 03:49:46 2010  read 606661 cycles
Mon May 03 03:49:48 2010  cycles contain 1960386 unique relations
Mon May 03 03:50:37 2010  read 1960386 relations
Mon May 03 03:50:52 2010  multiplying 1960386 relations
Mon May 03 03:57:12 2010  multiply complete, coefficients have about 72.55 million bits
Mon May 03 03:57:13 2010  initial square root is modulo 161411
Mon May 03 04:10:10 2010  reading relations for dependency 3
Mon May 03 04:10:12 2010  read 605653 cycles
Mon May 03 04:10:14 2010  cycles contain 1958104 unique relations
Mon May 03 04:10:53 2010  read 1958104 relations
Mon May 03 04:11:09 2010  multiplying 1958104 relations
Mon May 03 04:17:30 2010  multiply complete, coefficients have about 72.46 million bits
Mon May 03 04:17:31 2010  initial square root is modulo 159161
Mon May 03 04:30:27 2010  reading relations for dependency 4
Mon May 03 04:30:29 2010  read 605568 cycles
Mon May 03 04:30:32 2010  cycles contain 1956180 unique relations
Mon May 03 04:31:06 2010  read 1956180 relations
Mon May 03 04:31:22 2010  multiplying 1956180 relations
Mon May 03 04:37:48 2010  multiply complete, coefficients have about 72.39 million bits
Mon May 03 04:37:49 2010  initial square root is modulo 157271
Mon May 03 04:51:16 2010  sqrtTime: 4968
Mon May 03 04:51:16 2010  prp52 factor: 3625479745310971943185628615381832662068860013400999
Mon May 03 04:51:16 2010  prp74 factor: 17723553927647448118604796519069501505697101868155336210793511704671681427
Mon May 03 04:51:16 2010  elapsed time 05:31:58

GGNFS+Msieve v.1.45 via factmsieve.py

Core 2 T8100@2.1GHz , Win Vista 32

95913654970247371701067612609860427785894627123527996571214632241347575398344037113020005982528526030072476114746147449760545426176570552563354802630498839013631899<164>

1123681624054039444425235751709152415870271505876203037<55>
2577914786593590937285150419613043381121396563670288397<55>
33110718467170786514730681727982203149191265328615603891<56>

Nice split!

N=95913654970247371701067612609860427785894627123527996571214632241347575398344037113020005982528526030072476114746147449760545426176570552563354802630498839013631899
  ( 164 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=1123681624054039444425235751709152415870271505876203037 (pp55)
 r2=2577914786593590937285150419613043381121396563670288397 (pp55)
 r3=33110718467170786514730681727982203149191265328615603891 (pp56)
Version: Msieve-1.40
Total time: 66.12 hours.
Scaled time: 123.77 units (timescale=1.872).
Factorization parameters were as follows:
n: 95913654970247371701067612609860427785894627123527996571214632241347575398344037113020005982528526030072476114746147449760545426176570552563354802630498839013631899
m: 100000000000000000000000000000000000
deg: 5
c5: 74
c0: -11
skew: 0.68
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 360000Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6340001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1241581 x 1241809
Total sieving time: 63.41 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.70 hours.
Time per square root: 0.86 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 66.12 hours.
 --------- CPU info (if available) ----------

737879615191859944138371032784976571687541475920261641254745344064608936937706897337151601485805122318787919210265707389224454949913729353958978689014550565121062434201<168>

26875337726624354285586117910672522936375451339160329576263<59>
27455640658270546684696473217978741004958623464951810685842841118601048180406013992733247195520004974614557727<110>

N=737879615191859944138371032784976571687541475920261641254745344064608936937706897337151601485805122318787919210265707389224454949913729353958978689014550565121062434201
  ( 168 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=26875337726624354285586117910672522936375451339160329576263 (pp59)
 r2=27455640658270546684696473217978741004958623464951810685842841118601048180406013992733247195520004974614557727 (pp110)
Version: Msieve-1.40
Total time: 103.91 hours.
Scaled time: 196.19 units (timescale=1.888).
Factorization parameters were as follows:
n: 737879615191859944138371032784976571687541475920261641254745344064608936937706897337151601485805122318787919210265707389224454949913729353958978689014550565121062434201
m: 100000000000000000000000000000000000
deg: 5
c5: 740
c0: -11
skew: 0.43
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 360000Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 8290001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1237307 x 1237532
Total sieving time: 101.66 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.92 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 103.91 hours.
 --------- CPU info (if available) ----------

18895412670091963770686686329555592433701161249845505967231281859918585436944386920308040686120759094764077655035837208101657765013837040521769<143>

52473986183159093893303341107<29>
360091047860134233475885996380826155872176233488253934279287800043748202464373794455960743133711230070125525026867<114>

Input number is 18895412670091963770686686329555592433701161249845505967231281859918585436944386920308040686120759094764077655035837208101657765013837040521769 (143 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3301844711
Step 1 took 2492ms
********** Factor found in step 1: 52473986183159093893303341107
Found probable prime factor of 29 digits: 52473986183159093893303341107
Probable prime cofactor has 114 digits

26076228674466093637837861371810111615308772989547402374111987482764914574909673261903025511467474156838335694290030491537618448775999806834279978182507<152>

15173505779854109192343024157362098893199662490581336163<56>
1718536839989051782956656388221083221546957050680324342095803346816830931640692467888349560928089<97>

N=26076228674466093637837861371810111615308772989547402374111987482764914574909673261903025511467474156838335694290030491537618448775999806834279978182507
  ( 152 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=15173505779854109192343024157362098893199662490581336163 (pp56)
 r2=1718536839989051782956656388221083221546957050680324342095803346816830931640692467888349560928089 (pp97)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 120.66 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 26076228674466093637837861371810111615308772989547402374111987482764914574909673261903025511467474156838335694290030491537618448775999806834279978182507
m: 1000000000000000000000000000000000000
deg: 5
c5: 37
c0: -55
skew: 1.08
# Murphy_E = 8.969e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 9700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1492626 x 1492853
Total sieving time: 118.17 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.12 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 120.66 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

152024043489212682682064885489349551051304787700282356307283676675954066449870152648847390635167008215092824251203897616993887651279049527503274423972936790660492576741<168>

3749740187639189377617400832337164810567<40>
40542553852224618920841908123336437501385662026556112782212252024734800308124806823956695576898244458840679853807507818449931123<128>

Input number is 152024043489212682682064885489349551051304787700282356307283676675954066449870152648847390635167008215092824251203897616993887651279049527503274423972936790660492576741 (168 digits)
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=204474299
Step 1 took 11497ms
Step 2 took 10748ms
********** Factor found in step 2: 3749740187639189377617400832337164810567
Found probable prime factor of 40 digits: 3749740187639189377617400832337164810567
Probable prime cofactor 405425538522... has 128 digits

7756719863099800424720502167941656357102069414523941847153668789351746223539885030051017480168908968652576122294595775946797618111994288498907594564432070120316372654238443<172>

106559512621751076467818638513936341098500379<45>
21887010453632632534383998258394452140723679984543408506450231<62>
3325825326637022206762760327546664871718899852918725439224034944407<67>

N=7756719863099800424720502167941656357102069414523941847153668789351746223539885030051017480168908968652576122294595775946797618111994288498907594564432070120316372654238443
  ( 172 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=106559512621751076467818638513936341098500379 (pp45)
 r2=21887010453632632534383998258394452140723679984543408506450231 (pp62)
 r3=3325825326637022206762760327546664871718899852918725439224034944407 (pp67)
Version: Msieve v. 1.47
Total time:
Scaled time: 18.70 units (timescale=1.786).
Factorization parameters were as follows:
n: 7756719863099800424720502167941656357102069414523941847153668789351746223539885030051017480168908968652576122294595775946797618111994288498907594564432070120316372654238443
m: 1000000000000000000000000000000000000
deg: 5
c5: 740
c0: -11
skew: 0.43
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 11200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1715063 x 1715311
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time:

281337595165090420443715451940982053480766115067235500151408815349874017166641475407280283279203070474017818595706510420317824093609356009645595859<147>

638444488001306066296334959548881569014125515307739154108940878524679<69>
440661013529675720132202846855506503361322660034149940725475295390301462814421<78>

N=281337595165090420443715451940982053480766115067235500151408815349874017166641475407280283279203070474017818595706510420317824093609356009645595859
  ( 147 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=638444488001306066296334959548881569014125515307739154108940878524679 (pp69)
 r2=440661013529675720132202846855506503361322660034149940725475295390301462814421 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 232.09 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 281337595165090420443715451940982053480766115067235500151408815349874017166641475407280283279203070474017818595706510420317824093609356009645595859
m: 1000000000000000000000000000000000000
deg: 5
c5: 74000
c0: -11
skew: 0.17
# Murphy_E = 4.64e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
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, 15600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1946827 x 1947053
Total sieving time: 227.60 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.65 hours.
Time per square root: 0.59 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 232.09 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

2891015489878523519429360754302548580434916747614104360397672854487419581793157629499381652892322883886908290760747925738252945530430981722166855768819961665293135209<166>

20625172945280599683464444041446470669183506045016590928644977503534737553909201<80>
140169272643119263109493413921521354973467154963696154002380988219516801498863721872409<87>

N=2891015489878523519429360754302548580434916747614104360397672854487419581793157629499381652892322883886908290760747925738252945530430981722166855768819961665293135209
  ( 166 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=20625172945280599683464444041446470669183506045016590928644977503534737553909201 (pp80)
 r2=140169272643119263109493413921521354973467154963696154002380988219516801498863721872409 (pp87)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 178.90 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2891015489878523519429360754302548580434916747614104360397672854487419581793157629499381652892322883886908290760747925738252945530430981722166855768819961665293135209
m: 10000000000000000000000000000000000000
deg: 5
c5: 37
c0: -55
skew: 1.08
# Murphy_E = 5.621e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
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, 12900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1806236 x 1806465
Total sieving time: 175.14 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 3.11 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 178.90 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

304405684918918958270326294289682380294872776303247901019443489345845477307234144231152957242414964148281133462003142882855174600421392379613774483253908189<156>

60631936082903196349034971367939609<35>

5020550300467055693727138354857843788937529449819893765483814753869595407411209855643446826572709100676661828551512779621<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3669048825
Step 1 took 23665ms
********** Factor found in step 1: 60631936082903196349034971367939609
Found probable prime factor of 35 digits: 60631936082903196349034971367939609
Composite cofactor 5020550300467055693727138354857843788937529449819893765483814753869595407411209855643446826572709100676661828551512779621 has 121 digits

GMP-ECM 6.3

5020550300467055693727138354857843788937529449819893765483814753869595407411209855643446826572709100676661828551512779621<121>

897520211181128104755412777226663047795996735378657<51>
5593801942198113853460228027993321678668122837178397727837143694664453<70>

Number: n
N=5020550300467055693727138354857843788937529449819893765483814753869595407411209855643446826572709100676661828551512779621
  ( 121 digits)
Divisors found:

Thu Oct 28 12:49:56 2010  prp51 factor: 897520211181128104755412777226663047795996735378657
Thu Oct 28 12:49:56 2010  prp70 factor: 5593801942198113853460228027993321678668122837178397727837143694664453
Thu Oct 28 12:49:56 2010  elapsed time 00:34:07 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.062).
Factorization parameters were as follows:
name: KA_8_2_185_1
# Murphy_E = 2.703e-10, selected by Erik Branger
n: 5020550300467055693727138354857843788937529449819893765483814753869595407411209855643446826572709100676661828551512779621
Y0: -273179166652837358469841
Y1: 8324750010757
c0: 307379022641557419434560244784
c1: 50148261653394826325871708
c2: 21228210009311405404
c3: -989201036244835
c4: -123786956
c5: 3300
skew: 330261.6
type: gnfs
# selected mechanically
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 3170000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2757945 hash collisions in 20000000 relations
Msieve: matrix is 540688 x 540917 (151.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5500000,5500000,27,27,56,56,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830498)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Total of 4 processors activated (22643.70 BogoMIPS).

4245094805594498599023094323998314905865753756275792551381118393887929931230848794581201445870303128143790993992238989905455149949334781678926380553846798213780935409<166>

667712975842473304385474631817761955790964121<45>
6357664084988518201507110701763020351810274844838750084075348729643983584081067831723150506303869017779510832400264027929<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3457639258
Step 1 took 11624ms
Step 2 took 5566ms
********** Factor found in step 2: 667712975842473304385474631817761955790964121
Found probable prime factor of 45 digits: 667712975842473304385474631817761955790964121
Probable prime cofactor 

158521302148031220064065148347970050717585380016908610057707330452405121819792951378851486683095398310688492406328999423305943038760660179709859892263309819707<159>

18994885767141254212117425278481927025771<41>

8345472781007874690928456531071857346228870960932143956970119850393848631995481648038323261268896239063143111610389617<118>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1966098360
Step 1 took 73478ms
Step 2 took 26102ms
********** Factor found in step 2: 18994885767141254212117425278481927025771
Found probable prime factor of 41 digits: 18994885767141254212117425278481927025771

8345472781007874690928456531071857346228870960932143956970119850393848631995481648038323261268896239063143111610389617<118>

946294890447780254424142129234097592372745611737<48>
8819103712013972924412540637389838170907191021012502767042910440753241<70>

N=8345472781007874690928456531071857346228870960932143956970119850393848631995481648038323261268896239063143111610389617
  ( 118 digits)
Divisors found:
 r1=946294890447780254424142129234097592372745611737 (pp48)
 r2=8819103712013972924412540637389838170907191021012502767042910440753241 (pp70)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 71.79 hours.
Scaled time: 103.30 units (timescale=1.439).
Factorization parameters were as follows:
n: 8345472781007874690928456531071857346228870960932143956970119850393848631995481648038323261268896239063143111610389617
skew: 254929.70
c0: 33668741456040409530281194725
c1: -3779624868497995397407065
c2: -4043098617558873921
c3: -34645462658171
c4: -485421548
c5: 780
Y0: -101361234786527057701264
Y1: 1170146942941
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type:gnfs
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2400000, 9600001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 764813 x 765038
Total sieving time: 70.18 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 1.15 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
type:gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,
total time: 71.79 hours.
 --------- CPU info (if available) ----------

2242348316218546133315010240107168790635049836055088479365164609407699647163060556185597283927336852498415097368569887708351573157188858083331608459866561187383433161273247816273<178>

960893284419822639653008696349<30>
2333608063014461277455171028569744154127122645244188266020883756703033023747035760610488122954892144351793914524964752707413419209745868913825812677<148>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3014225849
Step 1 took 3420ms
Step 2 took 2036ms
********** Factor found in step 2: 960893284419822639653008696349
Found probable prime factor of 30 digits: 960893284419822639653008696349
Probable prime cofactor has 148 digits

55037664952928575413001060035045727649111283506908293135912415636949258155849813492840215188138925069100331005177649839771747141882225615141<140>

158387925059504374853808121365331899196220789498717310442301<60>
347486495149498351903968263790005992228836873240692901021666891349108827771640841<81>

Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 8.05/1.30662
Info:Generate Free Relations: Total cpu/real time for freerel: 143.1/20.6023
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22411392
Info:Lattice Sieving: Average J: 3791.69 for 674334 special-q, max bucket fill -bkmult 1.0,1s:1.117440
Info:Lattice Sieving: Total time: 300067s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 38.68/55.7988
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 254.26/102.146
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 92.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 112.07/51.5309
Info:Filtering - Merging: Total cpu/real time for merge: 819.43/813.776
Info:Filtering - Merging: Total cpu/real time for replay: 79.05/73.1084
Info:Linear Algebra: Total cpu/real time for bwc: 76034.3/10478.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 6605.04, iteration CPU time 0.12, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (50000 iterations)
Info:Linear Algebra: Lingen CPU time 225.69, WCT time 226.44
Info:Linear Algebra: Mksol: WCT time 3468.24, iteration CPU time 0.13, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 58.75/16.0359
Info:Square Root: Total cpu/real time for sqrt: 2313.61/329.047
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 657851/93233.8
347486495149498351903968263790005992228836873240692901021666891349108827771640841 158387925059504374853808121365331899196220789498717310442301

CADO-NFS-3.0.0-dev

3.7GHz Quad-Core Intel Xeon E5 w/ 64GB RAM

27407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407<194>

12614699014912646460647478505012749385388312741972514364796396433899<68>
2172656468062166970353972117383232688510501427203546481493670278118588680767239315345086197908316870713483725673491196875225293<127>

Note: factors found on 13th(!) dependency.

N=27407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407
  ( 194 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=12614699014912646460647478505012749385388312741972514364796396433899 (pp68)
 r2=2172656468062166970353972117383232688510501427203546481493670278118588680767239315345086197908316870713483725673491196875225293 (pp127)
Version: Msieve-1.40
Total time: 610.68 hours.
Scaled time: 1107.16 units (timescale=1.813).
Factorization parameters were as follows:
n: 27407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407
m: 100000000000000000000000000000000000000
deg: 5
c5: 74000
c0: -11
skew: 0.17
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6200000, 15800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2428803 x 2429028
Total sieving time: 597.68 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 8.13 hours.
Time per square root: 4.59 hours.
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 610.68 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

10395415741365413670916935865967805315290135072020492936175505417032107132849137692494761665741748273947592359344816550840847643567271795330186816906724509420271369356347592151697339<182>

4359172206788072337611519388962108135669579977<46>
2384722430827060538085204845228113289563909754564707397339679300981398663244691172405528487360173910521306441282981714986506797251537507<136>

p46 factor: 4359172206788072337611519388962108135669579977
p136 factor: 2384722430827060538085204845228113289563909754564707397339679300981398663244691172405528487360173910521306441282981714986506797251537507


Msieve v. 1.54 (SVN 1034)
random seeds: 384272a2 f3183692
factoring 10395415741365413670916935865967805315290135072020492936175505417032107132849137692494761665741748273947592359344816550840847643567271795330186816906724509420271369356347592151697339 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 37
skew 1.00, size 9.402e-14, alpha 0.782, combined = 1.929e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 610319 hash collisions in 36653906 relations
added 726968 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37380874 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1237.1 MB
keeping 40146824 ideals with weight <= 200, target excess is 197238
commencing in-memory singleton removal
begin with 37380874 relations and 40146824 unique ideals
reduce to 14239739 relations and 13043738 ideals in 15 passes
max relations containing the same ideal: 105
removing 2150426 relations and 1750426 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12089313 relations and 13043738 unique ideals
reduce to 11807466 relations and 11001256 ideals in 9 passes
max relations containing the same ideal: 98
removing 1732448 relations and 1332448 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10075018 relations and 11001256 unique ideals
reduce to 9851340 relations and 9437259 ideals in 9 passes
max relations containing the same ideal: 83
removing 913989 relations and 728705 ideals in 185284 cliques
commencing in-memory singleton removal
begin with 8937351 relations and 9437259 unique ideals
reduce to 8866498 relations and 8636362 ideals in 7 passes
max relations containing the same ideal: 78
relations with 0 large ideals: 4082
relations with 1 large ideals: 7862
relations with 2 large ideals: 72664
relations with 3 large ideals: 363188
relations with 4 large ideals: 1091129
relations with 5 large ideals: 2044764
relations with 6 large ideals: 2501184
relations with 7+ large ideals: 2781625
commencing 2-way merge
reduce to 5502071 relation sets and 5271935 unique ideals
commencing full merge
memory use: 623.8 MB
found 2575418 cycles, need 2552135
weight of 2552135 cycles is about 230212600 (90.20/cycle)
distribution of cycle lengths:
1 relations: 220692
2 relations: 223142
3 relations: 231187
4 relations: 220829
5 relations: 213692
6 relations: 196361
7 relations: 182818
8 relations: 164156
9 relations: 147784
10+ relations: 751474
heaviest cycle: 26 relations
commencing cycle optimization
start with 18712992 relations
pruned 632114 relations
memory use: 553.2 MB
distribution of cycle lengths:
1 relations: 220692
2 relations: 228630
3 relations: 239960
4 relations: 228604
5 relations: 221162
6 relations: 202341
7 relations: 188398
8 relations: 167886
9 relations: 150260
10+ relations: 704202
heaviest cycle: 26 relations
RelProcTime: 989
elapsed time 00:16:30


Msieve v. 1.54 (SVN 1034)
random seeds: 8fa446d5 7c2aced6
factoring 10395415741365413670916935865967805315290135072020492936175505417032107132849137692494761665741748273947592359344816550840847643567271795330186816906724509420271369356347592151697339 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 37
skew 1.00, size 9.402e-14, alpha 0.782, combined = 1.929e-11 rroots = 1

commencing linear algebra
read 2552135 cycles
cycles contain 8691959 unique relations
read 8691959 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1066.3 MB
read 2552135 cycles
matrix is 2551957 x 2552135 (938.9 MB) with weight 274678726 (107.63/col)
sparse part has weight 218052478 (85.44/col)
filtering completed in 2 passes
matrix is 2551173 x 2551351 (938.8 MB) with weight 274649204 (107.65/col)
sparse part has weight 218040969 (85.46/col)
matrix starts at (0, 0)
matrix is 2551173 x 2551351 (938.8 MB) with weight 274649204 (107.65/col)
sparse part has weight 218040969 (85.46/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2551125 x 2551351 (892.1 MB) with weight 225397898 (88.34/col)
sparse part has weight 208340439 (81.66/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 848.0 MB
linear algebra at 0.1%, ETA 3h15m
checkpointing every 820000 dimensions
lanczos halted after 40348 iterations (dim = 2551123)
recovered 35 nontrivial dependencies
BLanczosTime: 11378
elapsed time 03:09:40


Msieve v. 1.54 (SVN 1034)
random seeds: 6525edc7 584a60cb
factoring 10395415741365413670916935865967805315290135072020492936175505417032107132849137692494761665741748273947592359344816550840847643567271795330186816906724509420271369356347592151697339 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 37
skew 1.00, size 9.402e-14, alpha 0.782, combined = 1.929e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1274783 cycles
cycles contain 4345086 unique relations
read 4345086 relations
multiplying 4345086 relations
multiply complete, coefficients have about 120.26 million bits
initial square root is modulo 428578411
sqrtTime: 230
p46 factor: 4359172206788072337611519388962108135669579977
p136 factor: 2384722430827060538085204845228113289563909754564707397339679300981398663244691172405528487360173910521306441282981714986506797251537507
elapsed time 00:03:51

CADO-NFS/Msieve

36084716669891447245674981957461187595116136468546473516269964746374973965803201526783896382428699486222308520335121651049920943716049331553097050800177756223284541547918802795627<179>

23190502429742554349073742535217081195110322001<47>
1556012715947527487535405973126479945243652170583066234122574569891198290203133728111763983175707140939809506450281355024608508901627<133>

Number: n
N=36084716669891447245674981957461187595116136468546473516269964746374973965803201526783896382428699486222308520335121651049920943716049331553097050800177756223284541547918802795627  ( 179 digits)
SNFS difficulty: 196 digits.
Divisors found:

Tue Mar  2 02:17:24 2021  p47 factor: 23190502429742554349073742535217081195110322001
Tue Mar  2 02:17:24 2021  p133 factor: 1556012715947527487535405973126479945243652170583066234122574569891198290203133728111763983175707140939809506450281355024608508901627
Tue Mar  2 02:17:24 2021  elapsed time 01:05:51 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 74x10^195-11 = 82(194)1
#
n: 36084716669891447245674981957461187595116136468546473516269964746374973965803201526783896382428699486222308520335121651049920943716049331553097050800177756223284541547918802795627
m: 1000000000000000000000000000000000000000
deg: 5
c5: 74
c0: -11
skew: 0.68
# Murphy_E = 2.483e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3405706 hash collisions in 28246337 relations (26431647 unique)
Msieve: matrix is 1585116 x 1585341 (557.7 MB)

Sieving start time : 2021/03/01 21:26:47
Sieving end time  : 2021/03/02 01:10:57

Total sieving time: 3hrs 44min 10secs.

Total relation processing time: 0hrs 49min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 4sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

42027518386832636591605765296007555370386099341473828206607012833532149030523152996090145318324242294802609209173188401961201293337017317661818205001324948566295418242876412300126167<182>

304830817379100492203028748794499290689<39>

137871619241716751611246626310176511644857123213041561444544138411059459528374877508941957453411312614039040687438666640695078611134443568506903<144>

Factor=304830817379100492203028748794499290689  Method=ECM  B1=11000000  Sigma=3428003461

137871619241716751611246626310176511644857123213041561444544138411059459528374877508941957453411312614039040687438666640695078611134443568506903<144>

40586742521398004289262334559286347957696857<44>
202552590734191542474356834525899702835434117457<48>
16770765155460183061341139328866397959936384432067647<53>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2803682720
Step 1 took 16404ms
Step 2 took 6986ms
********** Factor found in step 2: 40586742521398004289262334559286347957696857
Found probable prime factor of 44 digits: 40586742521398004289262334559286347957696857
Composite cofactor 3396961930833166658911285237742433004270670709691516942346266074806496080453411373009102841167613679 has 100 digits

N=3396961930833166658911285237742433004270670709691516942346266074806496080453411373009102841167613679
  ( 100 digits)
Divisors found:
 r1=202552590734191542474356834525899702835434117457 (pp48)
 r2=16770765155460183061341139328866397959936384432067647 (pp53)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.63 hours.
Scaled time: 6.03 units (timescale=1.302).
Factorization parameters were as follows:
name: zz100
n: 3396961930833166658911285237742433004270670709691516942346266074806496080453411373009102841167613679
skew: 5805.06
# norm 5.13e+13
c5: 12600
c4: -680168820
c3: -3875695583596
c2: 15775109449186600
c1: 7854807980245145125
c0: 9724005018389104230047
# alpha -5.40
Y1: 9601838257
Y0: -12194042914032580800
# Murphy_E 3.43e-09
# M 2180233120199276730285348221771368782240286436599037499074010458130872849938101692941011290425696792
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 208987 x 209213
Polynomial selection time: 0.38 hours.
Total sieving time: 4.08 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.63 hours.
 --------- CPU info (if available) ----------

319023929875265889756611702519265277961300119570115890299149186582876829572775004720704760940642272966376218627168570024669808069359742869486476717300168118332556416361585495501179850595059<189>

113288139722503892579821992686772502735339<42>

2816039972557639488837768525150830476196480498760874868662132118152445384551297454116433156915310225990659590971780304958015163037906347642703923481<148>

Factor=113288139722503892579821992686772502735339  Method=ECM  B1=11000000  Sigma=2177920630

2816039972557639488837768525150830476196480498760874868662132118152445384551297454116433156915310225990659590971780304958015163037906347642703923481<148>

1131457124934169101535280773854632500453595237906859838003015091637881<70>
2488861407560170228678899580611205401065823080345951787908303469200750807197601<79>

2816039972557639488837768525150830476196480498760874868662132118152445384551297454116433156915310225990659590971780304958015163037906347642703923481=1131457124934169101535280773854632500453595237906859838003015091637881*2488861407560170228678899580611205401065823080345951787908303469200750807197601

cado polynomial
n: 2816039972557639488837768525150830476196480498760874868662132118152445384551297454116433156915310225990659590971780304958015163037906347642703923481
skew: 0.73
type: snfs
c0: -11
c6: 74
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 74*x^6-11
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15000000
tasks.lim1 = 15000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1131457124934169101535280773854632500453595237906859838003015091637881 2488861407560170228678899580611205401065823080345951787908303469200750807197601
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.96/3.4623
Info:Generate Free Relations: Total cpu/real time for freerel: 162.11/41.0817
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28093761
Info:Lattice Sieving: Average J: 1894.47 for 3225523 special-q, max bucket fill -bkmult 1.0,1s:1.139040
Info:Lattice Sieving: Total time: 933441s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.51/139.448
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 138.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 488.33/413.654
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 350.59999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 419.51/470.364
Info:Filtering - Merging: Merged matrix has 2565503 rows and total weight 436283916 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 370.16/106.48
Info:Filtering - Merging: Total cpu/real time for replay: 99.69/88.3086
Info:Linear Algebra: Total cpu/real time for bwc: 114963/29390
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 18729.42, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80384 iterations)
Info:Linear Algebra: Lingen CPU time 521.19, WCT time 150.97
Info:Linear Algebra: Mksol: WCT time 10245.04, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 88.23/38.3404
Info:Square Root: Total cpu/real time for sqrt: 1391.35/411.57
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.86445e+06/82441.2
Info:root: Cleaning up computation data in /tmp/cado.hi_l72b9
1131457124934169101535280773854632500453595237906859838003015091637881 2488861407560170228678899580611205401065823080345951787908303469200750807197601

cado-nfs-3.0.0

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

76083789274062657516631787483839899720269529655150194524087179824134551782233224137908438446795501430742716198243518114017762069304316386944424192683649357429135748042253539999<176>

17321054010489174341890354792856927<35>
4392561170237580091522830632770265109295747331344726399150251093351764158423680839068667334221350911164779734422541424766334577227020913683137<142>

Factor=17321054010489174341890354792856927  Method=ECM  B1=11000000  Sigma=1018910344

396278631017234130675650786399521809926433217207544415912070178565296278349588203791833911461102935752222218637963520572911502004806385957893939959358288242649264724081957<171>

4731086064664542591171262261018628098072315164897384353667156253<64>
83760604986020740712563797907790795834566130727601897759310865724825142324505268509492051576124220391558569<107>

Number: n
N=396278631017234130675650786399521809926433217207544415912070178565296278349588203791833911461102935752222218637963520572911502004806385957893939959358288242649264724081957
  ( 171 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Oct 18 20:37:53 2012  prp64 factor: 4731086064664542591171262261018628098072315164897384353667156253
Thu Oct 18 20:37:53 2012  prp107 factor: 83760604986020740712563797907790795834566130727601897759310865724825142324505268509492051576124220391558569
Thu Oct 18 20:37:53 2012  elapsed time 05:21:20 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
name: KA_82221_200
n: 396278631017234130675650786399521809926433217207544415912070178565296278349588203791833911461102935752222218637963520572911502004806385957893939959358288242649264724081957
m: 10000000000000000000000000000000000000000
#  c171, diff: 201.87
skew: 0.683
deg: 5
c5: 74
c0: -11
# Murphy_E = 1.536e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 30900000)
Primes: RFBsize:1043113, AFBsize:1043256,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9593464 hash collisions in 67343559 relations (60588986 unique)
Msieve: matrix is 1809919 x 1810145 (515.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

8222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<202>

5158531964051785263215826460434653482273548126165007116819953837679363974374476512925568007<91>
1593907390614296348374358888412772898099030967775414750120598856636801905906014990914725955540789062984024102603<112>

Number: 82221_201
N=8222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
  ( 202 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=5158531964051785263215826460434653482273548126165007116819953837679363974374476512925568007
 r2=1593907390614296348374358888412772898099030967775414750120598856636801905906014990914725955540789062984024102603
Version: 
Total time: 318.50 hours.
Scaled time: 1672.12 units (timescale=5.250).
Factorization parameters were as follows:
n: 8222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221
m: 10000000000000000000000000000000000000000
deg: 5
c5: 740
c0: -11
skew: 0.43
# Murphy_E = 9.757e-12
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9000000, 20500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39876862
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3624853 x 3625099
Total sieving time: 285.79 hours.
Total relation processing time: 6.25 hours.
Matrix solve time: 25.84 hours.
Time per square root: 0.62 hours.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,18000000,18000000,29,29,56,56,2.6,2.6,100000
total time: 318.50 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7 4930K

8090473905793721099902453524651134558264385840985778949694442205167247938628066078043129676465138626480161565676753484007569151831029351757035884209351246445322738794722975057057<178>

1264107271462054912584134855094180859981<40>
6400148221943500847632449949985416497858910432555305505541411575755185581821463118010808267246131752979679731416377395728123343687721176997<139>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3916506628
Step 1 took 88313ms
Step 2 took 30106ms
********** Factor found in step 2: 1264107271462054912584134855094180859981
Found probable prime factor of 40 digits: 1264107271462054912584134855094180859981

203792013297623110458705955173351275914673800255140966130888725295553243902249786904477202560383331191069313252839136996010469829219064429958102769958254771<156>

449301760777170613236187006678809957498482088646023072252580449301760777170613236187006678809957498482088646023072252580449301760777170613236187006678809957498482088646023072252580449301760777170613236187<204>

258025352451635705909263141786379<33>

1741308582695910757964825247740040583062527223961053892339101257643982448431617442908552420062335200508337263809480745585065027738982996727245143931124634110283809197923953<172>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1560849506
Step 1 took 18545ms
Step 2 took 13753ms
********** Factor found in step 2: 258025352451635705909263141786379
Found probable prime factor of 33 digits: 258025352451635705909263141786379
Composite cofactor 

1741308582695910757964825247740040583062527223961053892339101257643982448431617442908552420062335200508337263809480745585065027738982996727245143931124634110283809197923953<172>

426043258138002760923530588633232071594227144849223406363751<60>
4087163801878237606001300652871781971712440757448969355253607482340593692560321568822375143258537776933790457703<112>

Number: n
N=1741308582695910757964825247740040583062527223961053892339101257643982448431617442908552420062335200508337263809480745585065027738982996727245143931124634110283809197923953  ( 172 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu May  2 00:19:14 2024  prp60 factor: 426043258138002760923530588633232071594227144849223406363751
Thu May  2 00:19:14 2024  prp112 factor: 4087163801878237606001300652871781971712440757448969355253607482340593692560321568822375143258537776933790457703
Thu May  2 00:19:14 2024  elapsed time 02:29:12 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.919).
Factorization parameters were as follows:
#
# N = 74x10^205-11 = 82(204)1
#
n: 1741308582695910757964825247740040583062527223961053892339101257643982448431617442908552420062335200508337263809480745585065027738982996727245143931124634110283809197923953
m: 100000000000000000000000000000000000000000
deg: 5
c5: 74
c0: -11
skew: 0.68
# Murphy_E = 8.385e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4348149 hash collisions in 21578106 relations (17473847 unique)
Msieve: matrix is 2181284 x 2181509 (619.3 MB)

Sieving start time: 2024/05/01 06:48:18
Sieving end time  : 2024/05/01 21:49:37

Total sieving time: 15hrs 1min 19secs.

Total relation processing time: 2hrs 20min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

775845020791605928869921720112956368211962945319432902369752049553615607230432812733766183848340619533124994728401746270467239030602070536216809174514915614910326615416240800341562381847954241981791<198>

700402026731107865489754486155382413006668166411101995102187107032510362991<75>
1107713843166049930043089697185943113888467531024956391149428040323314476261545441964038589892442833458672917583178864086801<124>

Number: n
N=775845020791605928869921720112956368211962945319432902369752049553615607230432812733766183848340619533124994728401746270467239030602070536216809174514915614910326615416240800341562381847954241981791
  ( 198 digits)
SNFS difficulty: 208 digits.
Divisors found:

Wed Jun  2 16:17:25 2021  p75 factor: 700402026731107865489754486155382413006668166411101995102187107032510362991
Wed Jun  2 16:17:25 2021  p124 factor: 1107713843166049930043089697185943113888467531024956391149428040323314476261545441964038589892442833458672917583178864086801
Wed Jun  2 16:17:25 2021  elapsed time 04:17:59 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 74x10^207-11 = 82(206)1
#
n: 775845020791605928869921720112956368211962945319432902369752049553615607230432812733766183848340619533124994728401746270467239030602070536216809174514915614910326615416240800341562381847954241981791
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7400
c0: -11
skew: 0.27
# Murphy_E = 4.564e-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, 52100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9095059 hash collisions in 57117465 relations (49806270 unique)
Msieve: matrix is 3210100 x 3210325 (1120.8 MB)

Sieving start time : 2021/06/01 17:12:22
Sieving end time  : 2021/06/02 11:58:25

Total sieving time: 18hrs 46min 3secs.

Total relation processing time: 3hrs 52min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 20sec.

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) ----------
[    0.117662] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.152608] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.07 BogoMIPS (lpj=12798140)
[    0.150211] smpboot: Total of 16 processors activated (102385.12 BogoMIPS)

42506284525262514608584785415403439587084399080278181773471944073142170928796465332781578011569557685343868613324714340789397171396350839960724358019333781095343915109751229446494426579625387<191>

6530896624975093828482417563799995879<37>

6508491401121299514022214817742737461076317612155463677926267404628282596531595364287838858343310121716023685026718336562639445255291790912171458096292253<154>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1612575244
Step 1 took 5181ms
Step 2 took 2859ms
********** Factor found in step 2: 6530896624975093828482417563799995879
Found probable prime factor of 37 digits: 6530896624975093828482417563799995879
Composite cofactor 

9724948317860485277089343765845689097976027062854066759993470628235778161696948814439700016188200161604828882149047238845900802748431069993866915365279863282846427675658926908938842829776581349521<196>

37318752127373562308160429695959<32>

260591465777527125609683736375115019503589811929244788496603332411612618282813362663138654231736053218723367267183120761304275493343123031381552340619752100680245719<165>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4077204076
Step 1 took 5460ms
Step 2 took 2518ms
********** Factor found in step 2: 37318752127373562308160429695959
Found probable prime factor of 32 digits: 37318752127373562308160429695959
Composite cofactor 

81435939046478709683119705259064749387125617274666064964190175631133206604033783886346912392967489134842649877808297675641171483019861494332148301867255894199<158>

966006043017180653606024484783911181703180931903832444527089891060697133949154185738218759009317997063263198122551087811264262578106592777704254326312440561648062784838751317667903<180>

902641206484522594212835625654815876981946718731580696580031124218735176996615736801036044797135666415249395325859386368316987809679629807755568324835511833549214643046242529925753048273690353<192>

458789652944571442099760881815815348952367<42>
1967440199863389175531867357499233904178766419273179532737604519130501711288918248174891826663817128669604033948410260094543815819195254894838267592159<151>

Run 173 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3001367868
Step 1 took 15989ms
Step 2 took 5645ms
********** Factor found in step 2: 458789652944571442099760881815815348952367
Found probable prime factor of 42 digits: 458789652944571442099760881815815348952367
Probable prime cofactor 1967440199863389175531867357499233904178766419273179532737604519130501711288918248174891826663817128669604033948410260094543815819195254894838267592159 has 151 digits

GMP-ECM 6.4.4

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

1847408165320754049530743983630272028538090279341443396761049459143685787233079393824608160752463166345417740177139865341654901528901990867373185001646348992744598767760429439255083645799768782338494537135041<208>

1518347710217354795298308494693484323<37>

1216722726216838388381461862420427723029740336043181619323120781995406320510582123635459087167922356907910890897703380812121881933708810742280130294837561803674270152849867<172>

Run 216 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3369276501
Step 1 took 18615ms
Step 2 took 6316ms
********** Factor found in step 2: 1518347710217354795298308494693484323
Found probable prime factor of 37 digits: 1518347710217354795298308494693484323
Composite cofactor 1216722726216838388381461862420427723029740336043181619323120781995406320510582123635459087167922356907910890897703380812121881933708810742280130294837561803674270152849867 has 172 digits

GMP-ECM 6.4.4

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

7146523719790203789318325130128767911308210728895241150518018556914354185736573580373845367016318830452202893773362162739640840076129309834827272328206743233709849827750531467823<178>

10991103690679124794198745445178090610141785695216308014047164912414005864072309506406619704502436958272085034568727999262319525769598138962144712396339612708817624031331503971318119451625377222412609<200>

921532651797715241805457721747190912485283132676709022672475792991956175768179303819244546433903151321807911407369715497508915226400887216947724517223445392845156796651811723105566464723567<189>

75586278939024843800663697564614888699285439828365181118369950490374724936918718441<83>
12191798097920814903151280128398192658138672972939392347951329611992375063126843628024809140625444118491287<107>

Number: 82221_219
N = 921532651797715241805457721747190912485283132676709022672475792991956175768179303819244546433903151321807911407369715497508915226400887216947724517223445392845156796651811723105566464723567 (189 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=75586278939024843800663697564614888699285439828365181118369950490374724936918718441 (pp83)
r2=12191798097920814903151280128398192658138672972939392347951329611992375063126843628024809140625444118491287 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 73.34 hours.
Factorization parameters were as follows:
n: 921532651797715241805457721747190912485283132676709022672475792991956175768179303819244546433903151321807911407369715497508915226400887216947724517223445392845156796651811723105566464723567
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 37
c0: -55
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8103560 relations
Pruned matrix : 6930243 x 6930468
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.15 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 36.65 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 73.34 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1392863440757401391336443782916247032633393786122688420139301331063850127470623583370685035945895177077641975849286242749852029212506679293421944825478152534002432138742627013717069128992566180153<196>

2105308813969214975286115516695182781209<40>
661595786573175213988678444724132975209360550296350480019334351988673120648850563900436908444301298042021535967750239349851391558607259747784243181808624417<156>

Run 233 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3491688330
Step 1 took 18703ms
********** Factor found in step 1: 2105308813969214975286115516695182781209
Found probable prime factor of 40 digits: 2105308813969214975286115516695182781209
Probable prime cofactor 661595786573175213988678444724132975209360550296350480019334351988673120648850563900436908444301298042021535967750239349851391558607259747784243181808624417 has 156 digits

GMP-ECM 6.4.4

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

1157411416187540446656121246505683917627923450054063996861496312718596467702720860196756839229310438482564452290005802623399433256116576194831426540922883097137174960423376197<175>

101787997205349547614273633941039<33>
11370804495274142073364771415842265447407827099437088815249996029865447533107398234841178160473623547985544278973721527680083408484218922795723<143>

Run 150 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=470292829
Step 1 took 16414ms
Step 2 took 5553ms
********** Factor found in step 2: 101787997205349547614273633941039
Found probable prime factor of 33 digits: 101787997205349547614273633941039
Probable prime cofactor 11370804495274142073364771415842265447407827099437088815249996029865447533107398234841178160473623547985544278973721527680083408484218922795723 has 143 digits

GMP-ECM 6.4.4

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

30427936595720782159889745495563114937481848049847005111080420067695707820114584306576246358820090967404953306044566814733663923<128>

4806688036453244757669646285249437346093078165147<49>
6330333145184292931202943758232944343040210581570968517341280508065199882980809<79>

12/26/13 04:25:30 v1.34.3, 
12/26/13 04:25:30 v1.34.3, ****************************
12/26/13 04:25:30 v1.34.3, Starting factorization of 30427936595720782159889745495563114937481848049847005111080420067695707820114584306576246358820090967404953306044566814733663923
12/26/13 04:25:30 v1.34.3, using pretesting plan: normal
12/26/13 04:25:30 v1.34.3, using tune info for qs/gnfs crossover
12/26/13 04:25:30 v1.34.3, input indicated to have been pretested to t40.00
12/26/13 04:25:30 v1.34.3, ****************************
12/26/13 04:25:30 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C128
12/26/13 04:25:30 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C128
12/26/13 04:25:30 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C128
12/26/13 04:25:30 v1.34.3, final ECM pretested depth: 40.58
12/26/13 04:25:30 v1.34.3, scheduler: switching to sieve method
12/26/13 04:25:30 v1.34.3, nfs: commencing nfs on c128: 30427936595720782159889745495563114937481848049847005111080420067695707820114584306576246358820090967404953306044566814733663923
12/26/13 04:25:30 v1.34.3, nfs: commencing poly selection with 8 threads
12/26/13 04:25:30 v1.34.3, nfs: setting deadline of 5294 seconds
12/26/13 05:57:30 v1.34.3, nfs: completed 407 ranges of size 250 in 5519.1692 seconds
12/26/13 05:57:30 v1.34.3, nfs: best poly = # norm 3.446741e-12 alpha -8.285447 e 1.099e-10 rroots 3
12/26/13 05:57:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 06:10:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
[54 lines omitted]
12/26/13 18:54:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 19:09:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/26/13 19:23:23 v1.34.3, nfs: commencing msieve filtering
12/26/13 19:28:21 v1.34.3, nfs: commencing msieve linear algebra
12/26/13 20:08:21 v1.34.3, nfs: commencing msieve sqrt
12/26/13 20:24:54 v1.34.3, prp79 = 6330333145184292931202943758232944343040210581570968517341280508065199882980809
12/26/13 20:24:54 v1.34.3, prp49 = 4806688036453244757669646285249437346093078165147
12/26/13 20:24:55 v1.34.3, NFS elapsed time = 57564.2640 seconds.
12/26/13 20:24:55 v1.34.3, 
12/26/13 20:24:55 v1.34.3, 
12/26/13 20:24:55 v1.34.3, Total factoring time = 57564.3103 seconds

yafu 1.34.3

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

2785338553155650779748164347039181497162083420686373907796055719495700661659978010662146958653265199998177099605764367586614087429195016021258022904916861959383871717324436442295975252572371<190>

134604171866457593767805963032295128190903<42>

20692809996402031419748936573751344067186705117614291590555968480017437091907215989373884775736119773944007219305156420058724216308741619553054140357<149>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2056877356
Step 1 took 83859ms
Step 2 took 30183ms
********** Factor found in step 2: 134604171866457593767805963032295128190903
Found probable prime factor of 42 digits: 134604171866457593767805963032295128190903

20692809996402031419748936573751344067186705117614291590555968480017437091907215989373884775736119773944007219305156420058724216308741619553054140357<149>

109452430974696505967662334874660048357522816094669321<54>
189057564205091510186564650828858502886196577354944294057711545590272062103644947275448837213917<96>

Number: 82221_224
N = 20692809996402031419748936573751344067186705117614291590555968480017437091907215989373884775736119773944007219305156420058724216308741619553054140357 (149 digits)
Divisors found:
r1=109452430974696505967662334874660048357522816094669321 (pp54)
r2=189057564205091510186564650828858502886196577354944294057711545590272062103644947275448837213917 (pp96)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 103.66 hours.
Factorization parameters were as follows:
n: 20692809996402031419748936573751344067186705117614291590555968480017437091907215989373884775736119773944007219305156420058724216308741619553054140357
# norm 2.350932e-14 alpha -7.024456 e 6.307e-12 rroots 5
skew: 13437412.79
c0: -7189828796839213088931555276727297035
c1: 25080912101697849108312858961553
c2: -8441538663320755354835775
c3: -1538024306341324221
c4: 37197555470
c5: 408
Y0: -138366725554331548218535274506
Y1: 3457834211609707
type: gnfs
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 44025423
Relations: 6695240 relations
Pruned matrix : 3970928 x 3971158
Polynomial selection time: 0.70 hours.
Total sieving time: 94.94 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 7.48 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: gnfs,148,5,65,2000,1e-05,0.28,250,20,50000,3600,19700000,19700000,29,29,58,58,2.6,2.6,100000
total time: 103.66 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

119427349114854719859235976152349614523287274162294611808987508255289577849281557344585332724420867557050851907024489847372947084131671184242952771534401715298883448112121862388558332767<186>

9654805141244385545363087232558905087200508683469985899881332068507986458863941404853369902292878923192916084533990623981558353985926032441650354326383634889894716285723160795127117379027935268084548436508750839493967<217>

41940173966752687831891079804803603339816189743335999012166572878125507318961206221012896001160934386391077564752354819521826228296525102998184501714336679<155>

47666245689410393113922887730310148746974909<44>
879871560265762272218237838810378660105890311546009166973945283767386205084597121314816895604899392655982740531<111>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2075730781
Step 1 took 43203ms
Step 2 took 21137ms
********** Factor found in step 2: 47666245689410393113922887730310148746974909
Found probable prime factor of 44 digits: 47666245689410393113922887730310148746974909
Probable prime cofactor 

36895894697784490972139384233174490685313599273759216557979020190838162429651905428017837165196040862801944621985405214535148699126454854839676584572797579609947965077569115777516011950874071486003<197>

1366718925805516734432034248990246536101<40>
26995963838020893973127289309799747171083304047386331335658801986295536828525087976466770804480594745902327193511255984923108237352119595715913593633213907703<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=142107342
Step 1 took 26933ms
Step 2 took 9534ms
********** Factor found in step 2: 1366718925805516734432034248990246536101
Found probable prime factor of 40 digits: 1366718925805516734432034248990246536101