136786262222961607423427420100186694763304312464186029316623227786095861291336253904878093864951293<99>

14264563175678646066692467232445450415882111<44>
9589235964560401629928815287749601616969400503907295363<55>

N=136786262222961607423427420100186694763304312464186029316623227786095861291336253904878093864951293
  ( 99 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=14264563175678646066692467232445450415882111 (pp44)
 r2=9589235964560401629928815287749601616969400503907295363 (pp55)
Version: Msieve-1.40
Total time: 0.43 hours.
Scaled time: 0.40 units (timescale=0.933).
Factorization parameters were as follows:
n: 136786262222961607423427420100186694763304312464186029316623227786095861291336253904878093864951293
m: 10000000000000000000000000
deg: 4
c4: 740
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 240001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 28967 x 29196
Total sieving time: 0.41 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,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.43 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

27232487963048036887352930934955311798218210181948815594568530766274778910258822044241058681693739<98>

178762733459672161555355417407377994279<39>
152338730987191626377018711066721306720322496094971825627741<60>

N=27232487963048036887352930934955311798218210181948815594568530766274778910258822044241058681693739
  ( 98 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=178762733459672161555355417407377994279 (pp39)
 r2=152338730987191626377018711066721306720322496094971825627741 (pp60)
Version: Msieve-1.40
Total time: 0.53 hours.
Scaled time: 0.49 units (timescale=0.934).
Factorization parameters were as follows:
n: 27232487963048036887352930934955311798218210181948815594568530766274778910258822044241058681693739
m: 100000000000000000000000000
deg: 4
c4: 740
c0: 7
skew: 0.31
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [210000, 290001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 35410 x 35635
Total sieving time: 0.50 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,106.000,4,0,0,0,0,0,0,0,0,420000,420000,25,25,44,44,2.2,2.2,20000
total time: 0.53 hours.
 --------- CPU info (if available) ----------

31304619069799313347791546584435570651666053983824786450148340612541872018746776609239<86>

913210952527387271478427055381<30>
34279723631392260651290376851272559703995049754302697019<56>

Msieve v. 1.44
Wed Dec 30 20:12:39 2009
random seeds: d459268d c9723bd2
factoring 31304619069799313347791546584435570651666053983824786450148340612541872018746776609239 (86 digits)
searching for 15-digit factors
commencing quadratic sieve (86-digit input)
using multiplier of 1
using 32kb Intel Core sieve core
sieve interval: 16 blocks of size 32768
processing polynomials in batches of 13
using a sieve bound of 1460177 (55667 primes)
using large prime bound of 116814160 (26 bits)
using double large prime bound of 332270518827920 (41-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
55883 relations (15304 full + 40579 combined from 589737 partial), need 55763
55883 relations (15304 full + 40579 combined from 589737 partial), need 55763
sieving complete, commencing postprocessing
begin with 605041 relations
reduce to 135096 relations in 10 passes
attempting to read 135096 relations
recovered 135096 relations
recovered 115512 polynomials
attempting to build 55883 cycles
found 55883 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 15304
   length 2 : 10806
   length 3 : 9917
   length 4 : 7336
   length 5 : 5141
   length 6 : 3257
   length 7 : 1918
   length 9+: 2204
largest cycle: 17 relations
matrix is 55667 x 55883 (13.0 MB) with weight 2952573 (52.83/col)
sparse part has weight 2952573 (52.83/col)
filtering completed in 3 passes
matrix is 51430 x 51494 (12.0 MB) with weight 2743607 (53.28/col)
sparse part has weight 2743607 (53.28/col)
saving the first 48 matrix rows for later
matrix is 51382 x 51494 (7.0 MB) with weight 2002206 (38.88/col)
sparse part has weight 1307292 (25.39/col)
matrix includes 64 packed rows
using block size 20597 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 7.2 MB
lanczos halted after 815 iterations (dim = 51380)
recovered 17 nontrivial dependencies
prp30 factor: 913210952527387271478427055381
prp56 factor: 34279723631392260651290376851272559703995049754302697019

msieve 1.44 SVN

Core 2 Duo T7200, 2 GB RAM

368728916866464344116060267693475654132306723322499072179395906977741386823837055387236910149<93>

320869262547611440730749277009409566059496239<45>
1149156244941820688323620195120788405134114431691<49>

Number: 82223_109
N=368728916866464344116060267693475654132306723322499072179395906977741386823837055387236910149
  ( 93 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=320869262547611440730749277009409566059496239 (pp45)
 r2=1149156244941820688323620195120788405134114431691 (pp49)
Version: Msieve v. 1.43
Total time: 1.54 hours.
Scaled time: 3.21 units (timescale=2.082).
Factorization parameters were as follows:
n: 368728916866464344116060267693475654132306723322499072179395906977741386823837055387236910149 
m: 2000000000000000000000 
deg: 5 
c5: 23125 
c0: 7 
skew: 0.20 
type: snfs 
lss: 1 
rlim: 490000 
alim: 490000 
lpbr: 25 
lpba: 25 
mfbr: 44 
mfba: 44 
rlambda: 2.2 
alambda: 2.2
qintsize: 100000 
Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 445001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 49464 x 49695
Total sieving time: 1.52 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 ,110.000,5,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,
total time: 1.54 hours.
 --------- CPU info (if available) ----------

82222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<113>

21641296820368068010986972109255296378751<41>
3799320479946349808905134779878922946495529685949834083476836773573823473<73>

N=82222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
  ( 113 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=21641296820368068010986972109255296378751 (pp41)
 r2=3799320479946349808905134779878922946495529685949834083476836773573823473 (pp73)
Version: Msieve-1.40
Total time: 1.18 hours.
Scaled time: 1.10 units (timescale=0.934).
Factorization parameters were as follows:
n: 82222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 10000000000000000000000
deg: 5
c5: 7400
c0: 7
skew: 0.25
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 475001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56767 x 56992
Total sieving time: 1.14 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,113.000,5,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,50000
total time: 1.18 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1316292668852455290969766462863988255554433904038482377858300799469229652663870624256483537<91>

4771078302928103003249053216331130905359<40>
275889973980226027644937934329184487045855466470943<51>

Number: 82223_113
N=1316292668852455290969766462863988255554433904038482377858300799469229652663870624256483537
  ( 91 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=4771078302928103003249053216331130905359 (pp40)
 r2=275889973980226027644937934329184487045855466470943 (pp51)
Version: Msieve v. 1.43
Total time: 1.51 hours.
Scaled time: 3.25 units (timescale=2.151).
Factorization parameters were as follows:
n: 1316292668852455290969766462863988255554433904038482377858300799469229652663870624256483537 
m: 10000000000000000000000 
deg: 5 
c5: 74000 
c0: 7 
skew: 0.16 
type: snfs 
lss: 1 
rlim: 570000 
alim: 570000 
lpbr: 25 
lpba: 25 
mfbr: 45 
mfba: 45 
rlambda: 2.2 
alambda: 2.2
qintsize: 100000 
Factor 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, 485001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 67285 x 67533
Total sieving time: 1.47 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.02 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,
total time: 1.51 hours.
 --------- CPU info (if available) ----------

GGNFS/Msieve

23907609408090700649711311929315206286888868150383143069342312238286161521928153497<83>

68061608699056508024876458611857685600097<41>
351264242280863332627210703173063133222201<42>

Msieve v. 1.44
Wed Dec 30 20:40:56 2009
random seeds: d6f6e2fb 6a7a2a34
factoring 23907609408090700649711311929315206286888868150383143069342312238286161521928153497 (83 digits)
searching for 15-digit factors
commencing quadratic sieve (83-digit input)
using multiplier of 5
using 32kb Intel Core sieve core
sieve interval: 12 blocks of size 32768
processing polynomials in batches of 17
using a sieve bound of 1367761 (52327 primes)
using large prime bound of 124466251 (26 bits)
using trial factoring cutoff of 27 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
52648 relations (27056 full + 25592 combined from 277893 partial), need 52423
52648 relations (27056 full + 25592 combined from 277893 partial), need 52423
sieving complete, commencing postprocessing
begin with 304949 relations
reduce to 74992 relations in 2 passes
attempting to read 74992 relations
recovered 74992 relations
recovered 66966 polynomials
attempting to build 52648 cycles
found 52648 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 27056
   length 2 : 25592
largest cycle: 2 relations
matrix is 52327 x 52648 (8.0 MB) with weight 1685390 (32.01/col)
sparse part has weight 1685390 (32.01/col)
filtering completed in 3 passes
matrix is 37464 x 37527 (6.2 MB) with weight 1332464 (35.51/col)
sparse part has weight 1332464 (35.51/col)
saving the first 48 matrix rows for later
matrix is 37416 x 37527 (4.2 MB) with weight 1017627 (27.12/col)
sparse part has weight 726161 (19.35/col)
matrix includes 64 packed rows
using block size 15010 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 4.4 MB
lanczos halted after 593 iterations (dim = 37412)
recovered 15 nontrivial dependencies
prp41 factor: 68061608699056508024876458611857685600097
prp42 factor: 351264242280863332627210703173063133222201
elapsed time 00:52:57

msieve 1.44 SVN

Core 2 Duo T7200, 2 GB RAM

79183073700737564136372789721065848965667959068367095057989650031934067079622694771237437073<92>

1769399417534025540590342091297952124401142791<46>
44751384518422265212465633850647683333951105703<47>

Number: 82223_117
N=79183073700737564136372789721065848965667959068367095057989650031934067079622694771237437073
  ( 92 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=1769399417534025540590342091297952124401142791 (pp46)
 r2=44751384518422265212465633850647683333951105703 (pp47)
Version: Msieve v. 1.43
Total time: 2.22 hours.
Scaled time: 4.70 units (timescale=2.116).
Factorization parameters were as follows:
n: 79183073700737564136372789721065848965667959068367095057989650031934067079622694771237437073 
m: 100000000000000000000000 
deg: 5 
c5: 7400 
c0: 7 
skew: 0.25 
type: snfs 
lss: 1 
rlim: 670000 
alim: 670000 
lpbr: 25 
lpba: 25 
mfbr: 45 
mfba: 45 
rlambda: 2.2 
alambda: 2.2
qintsize: 100000 
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 635001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69595 x 69820
Total sieving time: 2.18 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 ,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,
total time: 2.22 hours.
 --------- CPU info (if available) ----------

10338352854868267206930804463346420015767932996894993954518687648600791701604663560944888424557<95>

9731777017818584188976657871094177<34>
1062329401499752956719237460041806047248032718769202350852941<61>

Number: 82223_118
N=10338352854868267206930804463346420015767932996894993954518687648600791701604663560944888424557
  ( 95 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=9731777017818584188976657871094177 (pp34)
 r2=1062329401499752956719237460041806047248032718769202350852941 (pp61)
Version: Msieve v. 1.43
Total time: 2.17 hours.
Scaled time: 4.69 units (timescale=2.158).
Factorization parameters were as follows:
n: 10338352854868267206930804463346420015767932996894993954518687648600791701604663560944888424557 
m: 100000000000000000000000 
deg: 5 
c5: 74000 
c0: 7 
skew: 0.16 
type: snfs 
lss: 1 
rlim: 700000 
alim: 700000 
lpbr: 25 
lpba: 25 
mfbr: 45 
mfba: 45 
rlambda: 2.2 
alambda: 2.2
qintsize: 100000 
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 81104 x 81329
Total sieving time: 2.13 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 ,119.000,5,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,
total time: 2.17 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve

72250177943050163979923716592549135946235089675625987902115016938736006020136486472584885558955931809505572189573199<116>

41033424612072791529661390791936945321154481026188421<53>
1760764026549049648526529900672347437117477931829209906188129219<64>

SNFS difficulty: 128 digits.
Divisors found:
 r1=41033424612072791529661390791936945321154481026188421 (pp53)
 r2=1760764026549049648526529900672347437117477931829209906188129219 (pp64)
Version: Msieve v. 1.44 SVN157
Total time: 1.63 hours.
Scaled time: 3.90 units (timescale=2.400).
Factorization parameters were as follows:
n: 72250177943050163979923716592549135946235089675625987902115016938736006020136486472584885558955931809505572189573199
m: 10000000000000000000000000
deg: 5
c5: 7400
c0: 7
skew: 0.25
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [612500, 1012501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 141615 x 141840
Total sieving time: 1.50 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,50000
total time: 1.63 hours.

17085850548592198376416417364240364188138428358883494501037395500236943721750209771047790281014090164408765633338346469<119>

19340741984388366992519674116779123<35>
883412361448371937210059513143931637048002413045072851945851491893262420578674501703<84>

Number: 82223_133
N=17085850548592198376416417364240364188138428358883494501037395500236943721750209771047790281014090164408765633338346469
  ( 119 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=19340741984388366992519674116779123 (pp35)
 r2=883412361448371937210059513143931637048002413045072851945851491893262420578674501703 (pp84)
Version: Msieve-1.40
Total time: 3.71 hours.
Scaled time: 12.27 units (timescale=3.311).
Factorization parameters were as follows:
name: 82223_133
n: 17085850548592198376416417364240364188138428358883494501037395500236943721750209771047790281014090164408765633338346469
m: 100000000000000000000000000
deg: 5
c5: 74000
c0: 7
skew: 0.16
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor 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, 1295001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189504 x 189752
Total sieving time: 3.57 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 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: 3.71 hours.
 --------- CPU info (if available) ----------

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

63955637382558853203252291357824253411580362632705915400323169421622095893632813405791<86>

39275069903784316858522542290157047550703<41>
1628402891178468932265318833074020641848849297<46>

Msieve v. 1.43
Wed Dec 30 20:17:43 2009
random seeds: 06feb1a4 51aeb8f8
factoring 6395563738255885320325229135782425341158036263270591540032316942162209
5893632813405791 (86 digits)
searching for 15-digit factors
searching for 20-digit factors
searching for 25-digit factors
200 of 214 curves
completed 214 ECM curves
commencing quadratic sieve (86-digit input)
using multiplier of 1
using VC8 32kb sieve core
sieve interval: 17 blocks of size 32768
processing polynomials in batches of 12
using a sieve bound of 1470941 (55893 primes)
using large prime bound of 117675280 (26 bits)
using double large prime bound of 336692393460720 (41-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
56202 relations (15771 full + 40431 combined from 587095 partial), need 55989
56202 relations (15771 full + 40431 combined from 587095 partial), need 55989
sieving complete, commencing postprocessing
begin with 602866 relations
reduce to 134060 relations in 9 passes
attempting to read 134060 relations
recovered 134060 relations
recovered 111584 polynomials
attempting to build 56202 cycles
found 56202 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 15771
   length 2 : 11179
   length 3 : 10122
   length 4 : 7308
   length 5 : 4917
   length 6 : 3043
   length 7 : 1798
   length 9+: 2064
largest cycle: 20 relations
matrix is 55893 x 56202 (13.2 MB) with weight 3015932 (53.66/col)
sparse part has weight 3015932 (53.66/col)
filtering completed in 3 passes
matrix is 51372 x 51435 (12.2 MB) with weight 2778376 (54.02/col)
sparse part has weight 2778376 (54.02/col)
saving the first 48 matrix rows for later
matrix is 51324 x 51435 (7.3 MB) with weight 2085843 (40.55/col)
sparse part has weight 1392128 (27.07/col)
matrix includes 64 packed rows
using block size 20574 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 7.3 MB
lanczos halted after 813 iterations (dim = 51314)
recovered 12 nontrivial dependencies
prp41 factor: 39275069903784316858522542290157047550703
prp46 factor: 1628402891178468932265318833074020641848849297
elapsed time 00:39:29

2170499798642147058400816811870170087990301972251040006710950728774638472460903872376958326110555287176188561290074685724828141879119<133>

87478739769677627003012223232965067<35>
24811740593849957488665585777088822921720098486535775153164092604817627553765134520892270846930957<98>

Number: 82223_137
N=2170499798642147058400816811870170087990301972251040006710950728774638472460903872376958326110555287176188561290074685724828141879119
  ( 133 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=87478739769677627003012223232965067 (pp35)
 r2=24811740593849957488665585777088822921720098486535775153164092604817627553765134520892270846930957 (pp98)
Version: Msieve-1.40
Total time: 4.73 hours.
Scaled time: 15.66 units (timescale=3.311).
Factorization parameters were as follows:
name: 82223_137
n: 2170499798642147058400816811870170087990301972251040006710950728774638472460903872376958326110555287176188561290074685724828141879119
m: 1000000000000000000000000000
deg: 5
c5: 7400
c0: 7
skew: 0.25
type: snfs
lss: 1
rlim: 1440000
alim: 1440000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor 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, 1545001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 227924 x 228172
Total sieving time: 4.57 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 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: 4.73 hours.
 --------- CPU info (if available) ----------

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

14813429176644426451984370882663569387250979989685354132135107195357305020363911028937028503489742972851984162777142938294759<125>

6006065520921277255594266376193528107379<40>
2466411517663926120110800852435750512376371595649222426907107976400906288214361516221<85>

Number: 82223_140
N=14813429176644426451984370882663569387250979989685354132135107195357305020363911028937028503489742972851984162777142938294759
  ( 125 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=6006065520921277255594266376193528107379 (pp40)
 r2=2466411517663926120110800852435750512376371595649222426907107976400906288214361516221 (pp85)
Version: Msieve v. 1.42
Total time: 0.26 hours.
Scaled time: 0.21 units (timescale=0.796).
Factorization parameters were as follows:
name: 82223_140
n: 14813429176644426451984370882663569387250979989685354132135107195357305020363911028937028503489742972851984162777142938294759
m: 10000000000000000000000000000
deg: 5
c5: 74
c0: 7
skew: 0.62
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 1710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247456 x 247681
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 0.26 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: 4 hours 9 min.

36239665774647329269583053477045051385593270284149007228877969070201198581921369478104623156221<95>

426575869677777469522746000255145564427659<42>
84954795502196780264384238430126374714364201291687319<53>

Number: 82223_143
N=36239665774647329269583053477045051385593270284149007228877969070201198581921369478104623156221
  ( 95 digits)
Divisors found:
 r1=426575869677777469522746000255145564427659 (pp42)
 r2=84954795502196780264384238430126374714364201291687319 (pp53)
Version: Msieve v. 1.43
Total time: 6.34 hours.
Scaled time: 13.45 units (timescale=2.123).
Factorization parameters were as follows:
name: n109355
n:  36239665774647329269583053477045051385593270284149007228877969070201198581921369478104623156221
m:  6992354253243587134373
deg: 4
c4: 15159696
c3: -147110356967
c2: -241938388389499948
c1: 825366303156431284
c0: 250696921285829202279584
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.700
# E(F1,F2) = 3.705919e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1262277210.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 163528 x 163753
Polynomial selection time: 0.17 hours.
Total sieving time: 6.06 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.34 hours.
 --------- CPU info (if available) ----------

GGNFS/Msieve

423349520520815091512869145566437002753186286980543349984673976996135048860812479126526568776531332231443<105>

751848897877653384269731204404768957427<39>
563077929243311560387757684237527605908875652071975927205925299809<66>

Number: 82223_144
N=423349520520815091512869145566437002753186286980543349984673976996135048860812479126526568776531332231443
  ( 105 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=751848897877653384269731204404768957427 (pp39)
 r2=563077929243311560387757684237527605908875652071975927205925299809 (pp66)
Version: Msieve-1.40
Total time: 8.61 hours.
Scaled time: 28.75 units (timescale=3.339).
Factorization parameters were as follows:
name: 82223_144
n: 423349520520815091512869145566437002753186286980543349984673976996135048860812479126526568776531332231443
m: 20000000000000000000000000000
deg: 5
c5: 23125
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2345001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 336488 x 336736
Total sieving time: 8.35 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.03 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: 8.61 hours.
 --------- CPU info (if available) ----------

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

645090189611005350668056021513527420924389912629523383291967107105568253662589839167598952814869398761687724837122371517227835038089<132>

33308198125930876474472692643201062744381244087<47>
19367309728735942472053180933836716277628541775015586429914014117132124883923029018047<86>

N=645090189611005350668056021513527420924389912629523383291967107105568253662589839167598952814869398761687724837122371517227835038089
  ( 132 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=33308198125930876474472692643201062744381244087 (pp47)
 r2=19367309728735942472053180933836716277628541775015586429914014117132124883923029018047 (pp86)
Version: Msieve-1.40
Total time: 13.86 hours.
Scaled time: 12.93 units (timescale=0.933).
Factorization parameters were as follows:
n: 645090189611005350668056021513527420924389912629523383291967107105568253662589839167598952814869398761687724837122371517227835038089
m: 100000000000000000000000000000
deg: 5
c5: 740
c0: 7
skew: 0.39
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 311297 x 311522
Total sieving time: 13.56 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 13.86 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

2740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741<148>

2052681062723119327601454077461108489<37>
1335200480246468736238467669456761727492237746468320706333989559305780854288238038410553205988526412728280295069<112>

Number: ss148
N=2740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
  ( 148 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=2052681062723119327601454077461108489 (pp37)
 r2=1335200480246468736238467669456761727492237746468320706333989559305780854288238038410553205988526412728280295069 (pp112)
Version: Msieve-1.40
Total time: 10.62 hours.
Scaled time: 20.42 units (timescale=1.922).
Factorization parameters were as follows:
n: 2740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
m: 100000000000000000000000000000
deg: 5
c5: 7400
c0: 7
skew: 0.25
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 335418 x 335645
Total sieving time: 10.40 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 10.62 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

21704361558071449221428386263473815131925826076927787195366919538516494913127713634784858507745909213707352393634490390749777973<128>

87915096462000931631552777812988424872188507<44>
246878663978405670664932180728942081573278847547856754892226432963127602950250046639<84>

N=21704361558071449221428386263473815131925826076927787195366919538516494913127713634784858507745909213707352393634490390749777973
  ( 128 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=87915096462000931631552777812988424872188507 (pp44)
 r2=246878663978405670664932180728942081573278847547856754892226432963127602950250046639 (pp84)
Version: Msieve-1.40
Total time: 15.89 hours.
Scaled time: 14.84 units (timescale=0.934).
Factorization parameters were as follows:
n: 21704361558071449221428386263473815131925826076927787195366919538516494913127713634784858507745909213707352393634490390749777973
m: 100000000000000000000000000000
deg: 5
c5: 74000
c0: 7
skew: 0.16
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, 3100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 409001 x 409226
Total sieving time: 15.19 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.31 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: 15.89 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

361081640885650210928763644853683631077245930595831540392212560941953620198592193076156003342442404882297<105>

579180378505389095946572253966422629<36>
623435555288395283413092923868231376104709566911600623704414347388293<69>

N=361081640885650210928763644853683631077245930595831540392212560941953620198592193076156003342442404882297
  ( 105 digits)
Divisors found:
 r1=579180378505389095946572253966422629 (pp36)
 r2=623435555288395283413092923868231376104709566911600623704414347388293 (pp69)
Version: Msieve-1.40
Total time: 7.61 hours.
Scaled time: 14.94 units (timescale=1.963).
Factorization parameters were as follows:
name: g2
n: 361081640885650210928763644853683631077245930595831540392212560941953620198592193076156003342442404882297
skew: 13220.75
# norm 2.22e+014
c5: 45240
c4: 904789648
c3: -15813269313852
c2: -195577011792129351
c1: 1359062818044170974322
c0: -27829864323386649130992
# alpha -5.76
Y1: 143552112703
Y0: -95590328387467068839
# Murphy_E 1.98e-009
# M 234950484234620280193750132282301301894474385041595932270304049396096439477713152032460667972551123085952
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 : 241166 x 241391
Polynomial selection time: 0.74 hours.
Total sieving time: 6.61 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.61 hours.
 --------- CPU info (if available) ----------

79764722434899126156410804526889130327502605034829393526592974544381056377539161588143532993506195683962038335148989026469383348539<131>

827310955583515819797600957619571880091833857556989032033<57>
96414439935271708323086543724646751143190014336534560514333612306575590683<74>

Number: 82223_158
N=79764722434899126156410804526889130327502605034829393526592974544381056377539161588143532993506195683962038335148989026469383348539
  ( 131 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=827310955583515819797600957619571880091833857556989032033 (pp57)
 r2=96414439935271708323086543724646751143190014336534560514333612306575590683 (pp74)
Version: Msieve-1.40
Total time: 36.97 hours.
Scaled time: 80.32 units (timescale=2.173).
Factorization parameters were as follows:
name: 82223_158
n: 79764722434899126156410804526889130327502605034829393526592974544381056377539161588143532993506195683962038335148989026469383348539
m: 10000000000000000000000000000000
deg: 5
c5: 74000
c0: 7
skew: 0.16
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 588926 x 589174
Total sieving time: 35.83 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.93 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 36.97 hours.
 --------- CPU info (if available) ----------

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

3646961938761802932686710934958335121435075663037106699628360103943936952219746722119615958382182472615948097601955499335646225456877174696926180716437<151>

13612526102630178814108886084833333255850695543131942601530077<62>
267912209039374838475441823503589748603365313914039468502331760983276516533423637081542681<90>

Number: n
N=3646961938761802932686710934958335121435075663037106699628360103943936952219746722119615958382182472615948097601955499335646225456877174696926180716437
  ( 151 digits)
SNFS difficulty: 160 digits.
Divisors found:

Mon Mar 22 18:14:00 2010  prp62 factor: 13612526102630178814108886084833333255850695543131942601530077
Mon Mar 22 18:14:00 2010  prp90 factor: 267912209039374838475441823503589748603365313914039468502331760983276516533423637081542681
Mon Mar 22 18:14:00 2010  elapsed time 00:32:13 (Msieve 1.42 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.073).
Factorization parameters were as follows:
name: KA_8_2_158_3
n: 3646961938761802932686710934958335121435075663037106699628360103943936952219746722119615958382182472615948097601955499335646225456877174696926180716437
m: 20000000000000000000000000000000
deg: 5
c5: 23125
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 1700000)
Primes: RFBsize:243539, AFBsize:243179, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 971748 hash collisions in 9945617 relations
Msieve: matrix is 611991 x 612216 (172.7 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,160,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6061180k/7077888k available (3786k kernel code, 787972k absent, 228736k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.27 BogoMIPS (lpj=2798138)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.09 BogoMIPS (lpj=2797549)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44762.02 BogoMIPS).

187508917549876845232190009030994877003897607863548877933323399532979317688592997836090164527224350774680391674725994591153263848591580062332593216091<150>

4941497072642320766649697503757173357228877483581901064689661600745163<70>
37945771249766610881020445002008048640315072203176846126544881363287872551188657<80>

Number: 82223_160
N=187508917549876845232190009030994877003897607863548877933323399532979317688592997836090164527224350774680391674725994591153263848591580062332593216091
  ( 150 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=4941497072642320766649697503757173357228877483581901064689661600745163 (pp70)
 r2=37945771249766610881020445002008048640315072203176846126544881363287872551188657 (pp80)
Version: Msieve-1.40
Total time: 39.75 hours.
Scaled time: 54.46 units (timescale=1.370).
Factorization parameters were as follows:
name: 82223_160
n: 187508917549876845232190009030994877003897607863548877933323399532979317688592997836090164527224350774680391674725994591153263848591580062332593216091
m: 100000000000000000000000000000000
deg: 5
c5: 74
c0: 7
skew: 0.62
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 664385 x 664633
Total sieving time: 37.72 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.11 hours.
Time per square root: 0.79 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 39.75 hours.
 --------- CPU info (if available) ----------

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

30493761358112490802815215186410558076106286412096089011377902749186473776141471311334428746768436728886969163<110>

508376107172738510081505409581250285434001<42>
59982680003785410057175673269604340785883105795967010473276843227163<68>

03/21/10 22:47:05 v1.16 @ debian, Initializing...
Powered by Tom's Fast Math (x86-64 asm)
Using GMP-ECM 6.2.3, Powered by GMP 4.2.3
cached 664581 primes. pmax = 10000079
detected cpu 6, with L1 = 32768 bytes, L2 = 4194304 bytes

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

>> siqs(30493761358112490802815215186410558076106286412096089011377902749186473776141471311334428746768436728886969163)


starting SIQS on c110: 30493761358112490802815215186410558076106286412096089011377902749186473776141471311334428746768436728886969163

==== sieving in progress ( 2 threads):  217064 relations needed ====
====            Press ctrl-c to abort and save state            ====
217661 rels found: 52463 full + 165198 from 3211193 partial, ( 40.92 rels/sec)

SIQS elapsed time = 80102.0994 seconds.


***factors found***


ans = 30493761358112490802815215186410558076106286412096089011377902749186473776141471311334428746768436728886969163

>> q

unrecognized token: q
>> siqs(30493761358112490802815215186410558076106286412096089011377902749186473776141471311334428746768436728886969163)


starting SIQS on c110: 30493761358112490802815215186410558076106286412096089011377902749186473776141471311334428746768436728886969163

==== sieving in progress ( 2 threads):  217064 relations needed ====
====            Press ctrl-c to abort and save state            ====


^TSIQS elapsed time = 333.6148 seconds.


***factors found***

PRP42 = 508376107172738510081505409581250285434001

ans = 59982680003785410057175673269604340785883105795967010473276843227163

>>    

30532629718650258135685454727170886573772482780530322259514104855330941509554020947139538934340695827801364278177665710785601432777502807165468643790189021<155>

1642483863868670871335193208790378058146374774776975213808947021371<67>
18589302695939042151362939021345682115055401786513203183289212045506577298573165413822151<89>

Number: 82223_164
N=30532629718650258135685454727170886573772482780530322259514104855330941509554020947139538934340695827801364278177665710785601432777502807165468643790189021
  ( 155 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=1642483863868670871335193208790378058146374774776975213808947021371 (pp67)
 r2=18589302695939042151362939021345682115055401786513203183289212045506577298573165413822151 (pp89)
Version: Msieve-1.40
Total time: 75.87 hours.
Scaled time: 152.96 units (timescale=2.016).
Factorization parameters were as follows:
name: 82223_164
n: 30532629718650258135685454727170886573772482780530322259514104855330941509554020947139538934340695827801364278177665710785601432777502807165468643790189021
m: 200000000000000000000000000000000
deg: 5
c5: 23125
c0: 7
skew: 0.20
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, 4450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 790894 x 791142
Total sieving time: 73.93 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.66 hours.
Time per square root: 0.15 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: 75.87 hours.
 --------- CPU info (if available) ----------

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

213318747377425405635159646213122331594177934088179135571985262294868253160180974842015254328415514041535074894919865543911461<126>

197592921030740879464071229795485994937195621893<48>
1079586992614163298007161376237654916493559634458697257804348335943217098754977<79>

Number: c126
N = 213318747377425405635159646213122331594177934088179135571985262294868253160180974842015254328415514041535074894919865543911461 (126 digits)
SNFS difficulty: 169 digits.
Divisors found:
r1=197592921030740879464071229795485994937195621893 (pp48)
r2=1079586992614163298007161376237654916493559634458697257804348335943217098754977 (pp79)
Version: Msieve v. 1.44
Total time: 75.45 hours.
Factorization parameters were as follows:
n: 213318747377425405635159646213122331594177934088179135571985262294868253160180974842015254328415514041535074894919865543911461
m: 1000000000000000000000000000000000
deg: 5
c5: 7400
c0: 7
skew: 0.25
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [2300000, 5100000)
Total raw relations: 10633505
Relations: 1510904 relations
Pruned matrix : 904611 x 904838
Polynomial selection time: 0.00 hours.
Total sieving time: 71.42 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.70 hours.
time per square root: 1.19 hours.
Prototype def-par.txt line would be: snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 75.45 hours.
 --------- CPU info (if available) ----------

factmsieve.py
msieve v. 1.44

Core 2 Duo T8100 @ 2.1 GHz, Windows Vista 32bit

50812811751710899970845483197626152769119678067811971911309665166866857094092107037872142622651393190482659035411277050860645078712991292896551712767794872706629<161>

145734766190895269575308859697622941<36>

348666368909887565784738066241072748028280725131065699107137888414693900960911759699192565795459776460062521646230864179565769<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1792868031
Step 1 took 24149ms
********** Factor found in step 1: 145734766190895269575308859697622941
Found probable prime factor of 36 digits: 145734766190895269575308859697622941
Composite cofactor 348666368909887565784738066241072748028280725131065699107137888414693900960911759699192565795459776460062521646230864179565769 has 126 digits

GMP-ECM 6.2.3

348666368909887565784738066241072748028280725131065699107137888414693900960911759699192565795459776460062521646230864179565769<126>

244829457396206330377967090055612766773339501901858450723<57>
1424119354827644216799611331577200872528823796537793370346998515303203<70>

Number: 82223_169
N=348666368909887565784738066241072748028280725131065699107137888414693900960911759699192565795459776460062521646230864179565769
  ( 126 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=244829457396206330377967090055612766773339501901858450723 (pp57)
 r2=1424119354827644216799611331577200872528823796537793370346998515303203 (pp70)
Version: Msieve-1.40
Total time: 88.32 hours.
Scaled time: 117.74 units (timescale=1.333).
Factorization parameters were as follows:
name: 82223_169
n: 348666368909887565784738066241072748028280725131065699107137888414693900960911759699192565795459776460062521646230864179565769
m: 2000000000000000000000000000000000
deg: 5
c5: 23125
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 975808 x 976056
Total sieving time: 85.07 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.48 hours.
Time per square root: 0.62 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 88.32 hours.
 --------- CPU info (if available) ----------

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

785889251926759935396636095545447719648071988438614007946017231253221148496938788786997735082247646562204124273677915529341712189859096897943174344589<150>

59265807431315181664554698744611011469991307899040480750491353373<65>
13260415844963374349710933531221761800800505547475029571289676399733174042810596953393<86>

Number: n
N=785889251926759935396636095545447719648071988438614007946017231253221148496938788786997735082247646562204124273677915529341712189859096897943174344589
  ( 150 digits)
SNFS difficulty: 173 digits.
Divisors found:

Wed Jun  9 00:53:53 2010  prp65 factor: 59265807431315181664554698744611011469991307899040480750491353373
Wed Jun  9 00:53:53 2010  prp86 factor: 13260415844963374349710933531221761800800505547475029571289676399733174042810596953393
Wed Jun  9 00:53:53 2010  elapsed time 01:32:47 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.875).
Factorization parameters were as follows:
name: KA_8_2_171_3
n: 785889251926759935396636095545447719648071988438614007946017231253221148496938788786997735082247646562204124273677915529341712189859096897943174344589
m: 10000000000000000000000000000000000
deg: 5
c5: 7400
c0: 7
skew: 0.25
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 11850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2195805 hash collisions in 14937806 relations
Msieve: matrix is 835108 x 835333 (235.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034788k/2097088k available (3786k kernel code, 388k absent, 61912k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.89 BogoMIPS (lpj=3013446)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.85 BogoMIPS).

206584901028936135170098258689194301443800620171619333963316054870084366895899674188618247529217762552888208447805275820204311026048348768266565356158192415991453877<165>

43621549313054232440214438087275630972002696868177861355565539960203442169226917<80>
4735845110552121363926379939519228874693259926248728719417647944632349474666142620881<85>

Number: qw6
N=206584901028936135170098258689194301443800620171619333963316054870084366895899674188618247529217762552888208447805275820204311026048348768266565356158192415991453877
  ( 165 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=43621549313054232440214438087275630972002696868177861355565539960203442169226917 (pp80)
 r2=4735845110552121363926379939519228874693259926248728719417647944632349474666142620881 (pp85)
Version: Msieve-1.40
Total time: 94.04 hours.
Scaled time: 175.01 units (timescale=1.861).
Factorization parameters were as follows:
n: 206584901028936135170098258689194301443800620171619333963316054870084366895899674188618247529217762552888208447805275820204311026048348768266565356158192415991453877
m: 10000000000000000000000000000000000
deg: 5
c5: 74000
c0: 7
skew: 0.16
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 240000Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 7890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1121993 x 1122223
Total sieving time: 91.96 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.67 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 94.04 hours.
 --------- CPU info (if available) ----------

1379336054726089955078379839325989300825737665194132229864489552461369270629461872541892672743201178027549441741691364237916829763835299819195138772390911293779939980241943<172>

2327896567042186710833545936792504802499199820950556449042347654321100405928885144201<85>
592524631143155635661277241490354545253475607927379149430886707733346181494464595581343<87>

Number: 5
N=1379336054726089955078379839325989300825737665194132229864489552461369270629461872541892672743201178027549441741691364237916829763835299819195138772390911293779939980241943
  ( 172 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=2327896567042186710833545936792504802499199820950556449042347654321100405928885144201 (pp85)
 r2=592524631143155635661277241490354545253475607927379149430886707733346181494464595581343 (pp87)
Version: Msieve-1.40
Total time: 95.13 hours.
Scaled time: 165.43 units (timescale=1.739).
Factorization parameters were as follows:
n: 1379336054726089955078379839325989300825737665194132229864489552461369270629461872541892672743201178027549441741691364237916829763835299819195138772390911293779939980241943
m: 20000000000000000000000000000000000
deg: 5
c5: 23125
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 7800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1215407 x 1215632
Total sieving time: 92.71 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.99 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 95.13 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

313094035439037290742381859589932509376833362975629981245548462840406742608187376203052334190365129209913599345911758177847921<126>

2492873210024182941756920140736987<34>
125595651708255157674945970289426592269641497153258011979913715967463608822451630533667794083<93>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4131492870
Step 1 took 22299ms
Step 2 took 15718ms
********** Factor found in step 2: 2492873210024182941756920140736987
Found probable prime factor of 34 digits: 2492873210024182941756920140736987
Probable prime cofactor 125595651708255157674945970289426592269641497153258011979913715967463608822451630533667794083 has 93 digits

GMP-ECM 6.3 [config GMP 5.0.1] [ECM]

PPC-G5, 2.5 GHz, Mac OS X

38409035466072883740001972355875284823759621722904761163274733602196581595843519513347139824460327099650685393666661476256468548709404504237969926763312104555623030888131089<173>

3252863033223340106514118740466504732937589564901451581799890862711566814536463<79>
11807762907254182169742270530926809500320083463260747838892342697054372531624894637998558535903<95>

Number: 82223_176
N=38409035466072883740001972355875284823759621722904761163274733602196581595843519513347139824460327099650685393666661476256468548709404504237969926763312104555623030888131089
  ( 173 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=3252863033223340106514118740466504732937589564901451581799890862711566814536463
 r2=11807762907254182169742270530926809500320083463260747838892342697054372531624894637998558535903
Version: 
Total time: 157.86 hours.
Scaled time: 317.45 units (timescale=2.011).
Factorization parameters were as follows:
n: 38409035466072883740001972355875284823759621722904761163274733602196581595843519513347139824460327099650685393666661476256468548709404504237969926763312104555623030888131089
m: 100000000000000000000000000000000000
deg: 5
c5: 740
c0: 7
skew: 0.39
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor 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, 8250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1167354 x 1167602
Total sieving time: 157.86 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 157.86 hours.
 --------- CPU info (if available) ----------

1482003712105359877536761918254779961826941006126314908455476712740490741646889953923138492659140301437792898272407440055922282724737884895620526463199417963<157>

110227069771047121228338049200377605463<39>
13445006886090983904517384842770814289211551918184081893790161415524193916410623589132837555915739828468837549782687501<119>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=220331459
Step 1 took 26349ms
Step 2 took 9472ms
********** Factor found in step 2: 110227069771047121228338049200377605463
Found probable prime factor of 39 digits: 110227069771047121228338049200377605463
Probable prime cofactor 13445006886090983904517384842770814289211551918184081893790161415524193916410623589132837555915739828468837549782687501 has 119 digits

GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]

Core i5, 3.3 GHz, openSUSE

52179175107882207345516324572238295523527413775147101203554981302579773673533093548869992976259956086288278801512039674788355272208532239996282586335557364903708620768312969<173>

20350547700518433757929041283186039877902554983841669380714623100250259653<74>
2564018220824245125544993403648105464751153767794276325055576486482674136544789349291883836955581173<100>

Number: 82223_178
N=52179175107882207345516324572238295523527413775147101203554981302579773673533093548869992976259956086288278801512039674788355272208532239996282586335557364903708620768312969
  ( 173 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=20350547700518433757929041283186039877902554983841669380714623100250259653
 r2=2564018220824245125544993403648105464751153767794276325055576486482674136544789349291883836955581173
Version: 
Total time: 202.07 hours.
Scaled time: 406.57 units (timescale=2.012).
Factorization parameters were as follows:
n: 52179175107882207345516324572238295523527413775147101203554981302579773673533093548869992976259956086288278801512039674788355272208532239996282586335557364903708620768312969
m: 100000000000000000000000000000000000
deg: 5
c5: 74000
c0: 7
skew: 0.16
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 10000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1311647 x 1311895
Total sieving time: 202.07 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 202.07 hours.
 --------- CPU info (if available) ----------

1324861133434316427395691178253822047189939167066055577674990338358821256448318626882707790838522033324006939198110095398566183<127>

15583530396709062990682456561893994043363<41>
85016751641470228195824199310316235253208219507694936332395163249422609883629755004141<86>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2944153945
Step 1 took 48813ms
Step 2 took 32666ms
********** Factor found in step 2: 15583530396709062990682456561893994043363
Found probable prime factor of 41 digits: 15583530396709062990682456561893994043363
Probable prime cofactor 85016751641470228195824199310316235253208219507694936332395163249422609883629755004141 has 86 digits

GMP-ECM 6.2.3

265832123268872564024894105593658175061052201070602123146586254498562140688037803003802202169937631684066722005691930560200018867331857<135>

1934814743328664752372478950657125462347091<43>
137394096352363781512597224349983037626164718495028082230493202965040156594605314881144364427<93>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1786056043
Step 1 took 255467ms
Step 2 took 105098ms
********** Factor found in step 2: 1934814743328664752372478950657125462347091
Found probable prime factor of 43 digits: 1934814743328664752372478950657125462347091
Probable prime cofactor 137394096352363781512597224349983037626164718495028082230493202965040156594605314881144364427 has 93 digits

GMP-ECM 6.3

2740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741<184>

6136632490580243258631065964830174243<37>
1717977914355339982622852015460713391234001885393276036589<58>
259968222070964465146922410053004401550333629696220682879389277295341344801322342191269683<90>

Number: 7
N=2740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
  ( 184 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=6136632490580243258631065964830174243 (pp37)
 r2=1717977914355339982622852015460713391234001885393276036589 (pp58)
 r3=259968222070964465146922410053004401550333629696220682879389277295341344801322342191269683 (pp90)
Version: Msieve-1.40
Total time: 232.12 hours.
Scaled time: 403.66 units (timescale=1.739).
Factorization parameters were as follows:
n: 2740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740741
m: 1000000000000000000000000000000000000
deg: 5
c5: 74000
c0: 7
skew: 0.16
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1735009 x 1735234
Total sieving time: 226.03 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.42 hours.
Time per square root: 1.43 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: 232.12 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

4837224199893067026749486616690997376708199817840140870696461851051924675695164514355305503345302565056940418631636658700033177846921073325080103587759189454812397<163>

605535375527504104716992619499663148932716938741<48>
14893983525113021233710703967560630633675153324769<50>
536346965670305462807721254542632567518159710439947776499973620793<66>

N=4837224199893067026749486616690997376708199817840140870696461851051924675695164514355305503345302565056940418631636658700033177846921073325080103587759189454812397
  ( 163 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=605535375527504104716992619499663148932716938741 (pp48)
 r2=14893983525113021233710703967560630633675153324769 (pp50)
 r3=536346965670305462807721254542632567518159710439947776499973620793 (pp66)
Version: Msieve-1.40
Total time: 282.58 hours.
Scaled time: 547.93 units (timescale=1.939).
Factorization parameters were as follows:
n: 4837224199893067026749486616690997376708199817840140870696461851051924675695164514355305503345302565056940418631636658700033177846921073325080103587759189454812397
m: 2000000000000000000000000000000000000
deg: 5
c5: 23125
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 8560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1637008 x 1637233
Total sieving time: 278.02 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.36 hours.
Time per square root: 0.97 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 282.58 hours.
 --------- CPU info (if available) ----------

12259934425888243427675157363399150373858980696499509026933640134392479749635667464297326923645959605587220276966783119461616127048956596061663897738851<152>

523700859167415659179099681382851431539557<42>
20319359065451993073436620833810596242696984551<47>
1152112413687937696818082645491137610268062749754068452979526593<64>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3531536591
Step 1 took 81134ms
Step 2 took 29923ms
********** Factor found in step 2: 20319359065451993073436620833810596242696984551
Found probable prime factor of 47 digits: 20319359065451993073436620833810596242696984551
Composite cofactor 603362260905817988948101124249180314518868433091789101184342956985367686380461637701540715116879012939301 has 105 digits8684326594347361494261790394529056370347

nfs: commencing gnfs on c105: 603362260905817988948101124249180314518868433091789101184342956985367686380461637701540715116879012939301
nfs: commencing poly selection with 8 threads
nfs: setting deadline of 238 seconds
nfs: completed 8 ranges of size 250 in 557.3079 seconds
nfs: best poly = # norm 2.163100e-14 alpha -5.353362 e 6.156e-09 rroots 2
nfs: commencing lattice sieving with 8 threads
nfs: commencing lattice sieving with 8 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp64 = 1152112413687937696818082645491137610268062749754068452979526593
prp42 = 523700859167415659179099681382851431539557
NFS elapsed time = 7759.0451 seconds.

1713007739399646819488122082962003540522876161095071272243470930848982501946185645965750944095685051394248332328454239710283728094891592559393314107296157193578949<163>

2255720916271537830640696690308595935244058130028606463619593<61>
759405885295004904241149796615897071799518890783560417742559418955400576681570868088009378560698857693<102>

Number: 82223_187
N = 1713007739399646819488122082962003540522876161095071272243470930848982501946185645965750944095685051394248332328454239710283728094891592559393314107296157193578949 (163 digits)
SNFS difficulty: 189 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN 1005)
Total time: 15.14 hours.
Factorization parameters were as follows:
n: 1713007739399646819488122082962003540522876161095071272243470930848982501946185645965750944095685051394248332328454239710283728094891592559393314107296157193578949
m: 10000000000000000000000000000000000000
deg: 5
c5: 7400
c0: 7
skew: 0.25
# Murphy_E = 3.942e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22670578
Relations: 3625640 relations
Pruned matrix : 2201956 x 2202179
Polynomial selection time: 0.00 hours.
Total sieving time: 13.72 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.14 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.6,2.6,100000
total time: 15.14 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134
processors: 12, speed: 2.21GHz

__square root phase + factors__
Sat Oct 27 15:18:35 2018  Msieve v. 1.53 (SVN 1005)
Sat Oct 27 15:18:35 2018  random seeds: 6c700f88 a559b046
Sat Oct 27 15:18:35 2018  factoring 1713007739399646819488122082962003540522876161095071272243470930848982501946185645965750944095685051394248332328454239710283728094891592559393314107296157193578949 (163 digits)
Sat Oct 27 15:18:36 2018  searching for 15-digit factors
Sat Oct 27 15:18:36 2018  commencing number field sieve (163-digit input)
Sat Oct 27 15:18:36 2018  R0: -10000000000000000000000000000000000000
Sat Oct 27 15:18:36 2018  R1: 1
Sat Oct 27 15:18:36 2018  A0: 7
Sat Oct 27 15:18:36 2018  A1: 0
Sat Oct 27 15:18:36 2018  A2: 0
Sat Oct 27 15:18:36 2018  A3: 0
Sat Oct 27 15:18:36 2018  A4: 0
Sat Oct 27 15:18:36 2018  A5: 7400
Sat Oct 27 15:18:36 2018  skew 0.25, size 2.367e-013, alpha 0.263, combined = 3.508e-011 rroots = 1
Sat Oct 27 15:18:36 2018  
Sat Oct 27 15:18:36 2018  commencing square root phase
Sat Oct 27 15:18:36 2018  reading relations for dependency 1
Sat Oct 27 15:18:37 2018  read 1101130 cycles
Sat Oct 27 15:18:38 2018  cycles contain 3622642 unique relations
Sat Oct 27 15:18:54 2018  read 3622642 relations
Sat Oct 27 15:19:05 2018  multiplying 3622642 relations
Sat Oct 27 15:20:27 2018  multiply complete, coefficients have about 124.89 million bits
Sat Oct 27 15:20:27 2018  initial square root is modulo 920549741
Sat Oct 27 15:22:07 2018  GCD is N, no factor found
Sat Oct 27 15:22:07 2018  reading relations for dependency 2
Sat Oct 27 15:22:07 2018  read 1100926 cycles
Sat Oct 27 15:22:08 2018  cycles contain 3622408 unique relations
Sat Oct 27 15:22:25 2018  read 3622408 relations
Sat Oct 27 15:22:35 2018  multiplying 3622408 relations
Sat Oct 27 15:23:57 2018  multiply complete, coefficients have about 124.88 million bits
Sat Oct 27 15:23:57 2018  initial square root is modulo 918920491
Sat Oct 27 15:25:36 2018  GCD is 1, no factor found
Sat Oct 27 15:25:36 2018  reading relations for dependency 3
Sat Oct 27 15:25:36 2018  read 1101653 cycles
Sat Oct 27 15:25:37 2018  cycles contain 3625640 unique relations
Sat Oct 27 15:25:54 2018  read 3625640 relations
Sat Oct 27 15:26:05 2018  multiplying 3625640 relations
Sat Oct 27 15:27:27 2018  multiply complete, coefficients have about 124.99 million bits
Sat Oct 27 15:27:27 2018  initial square root is modulo 936448501
Sat Oct 27 15:29:05 2018  sqrtTime: 629
Sat Oct 27 15:29:05 2018  p61 factor: 2255720916271537830640696690308595935244058130028606463619593
Sat Oct 27 15:29:05 2018  p102 factor: 759405885295004904241149796615897071799518890783560417742559418955400576681570868088009378560698857693
Sat Oct 27 15:29:05 2018  elapsed time 00:10:30
Sat Oct 27 15:29:05 2018 -> Computing 1.54067e+09 scale for this machine...
Sat Oct 27 15:29:05 2018 -> procrels -speedtest> PIPE
Sat Oct 27 15:29:07 2018 -> Factorization summary written to s189-82223_187.txt

msieve v1.53, GGNFS, factmsieve.py v0.76

Intel Core i7-8750H, Windows 10

123513906593503840200594679001134464203581717619605938870090605575658957720205817614802022561755908781107469375655705012098969008276410126060148561290636082943355192193493<171>

3289757949887045471118494946798899298851759<43>

37544983088419838327987387771219017640637289953354515474130540985385569892408961298684388761104169092051500464244855309866244027<128>

GMP-ECM 7.0.4 [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 123513906593503840200594679001134464203581717619605938870090605575658957720205817614802022561755908781107469375655705012098969008276410126060148561290636082943355192193493 (171 digits)
Run 1063 out of 1668:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1649577182
Step 1 took 25807ms
Step 2 took 10993ms
********** Factor found in step 2: 3289757949887045471118494946798899298851759
Found prime factor of 43 digits: 3289757949887045471118494946798899298851759
Composite cofactor 37544983088419838327987387771219017640637289953354515474130540985385569892408961298684388761104169092051500464244855309866244027 has 128 digits

GMP-ECM 7.0.4

Linux Ubuntu 18.04 LTS [4.15.0-109-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

37544983088419838327987387771219017640637289953354515474130540985385569892408961298684388761104169092051500464244855309866244027<128>

44047558608899064362887417906543445631096109<44>
852373758595431198064411748896696440637996171276991558824344062682141374368203047303<84>

37544983088419838327987387771219017640637289953354515474130540985385569892408961298684388761104169092051500464244855309866244027=44047558608899064362887417906543445631096109*852373758595431198064411748896696440637996171276991558824344062682141374368203047303

cado polynomial
n: 37544983088419838327987387771219017640637289953354515474130540985385569892408961298684388761104169092051500464244855309866244027
skew: 171630.504
c0: -526295852363606607472622118258
c1: 22629067349687770332616213
c2: 53385178997108929377
c3: -2086266593920487
c4: -1662261700
c5: 7500
Y0: -7583289382604492833128859
Y1: 64443457006871083
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.96e-07
# found by revision 7f9c8bd19
# f(x) = 7500*x^5-1662261700*x^4-2086266593920487*x^3+53385178997108929377*x^2+22629067349687770332616213*x-526295852363606607472622118258
# g(x) = 64443457006871083*x-7583289382604492833128859

cado parameters (extracts)
tasks.I = 14
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56

cado log (extracts)
Info:Square Root: Factors: 852373758595431198064411748896696440637996171276991558824344062682141374368203047303 44047558608899064362887417906543445631096109
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38909/38.190/45.521/49.760/0.864
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38909/37.060/40.871/46.300/1.041
Info:Polynomial Selection (size optimized): Total time: 11396.5
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4880.88
Info:Polynomial Selection (root optimized): Rootsieve time: 4878.48
Info:Generate Factor Base: Total cpu/real time for makefb: 78.39/14.1698
Info:Generate Free Relations: Total cpu/real time for freerel: 457.63/65.6815
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22902987
Info:Lattice Sieving: Average J: 8007.03 for 44072 special-q, max bucket fill -bkmult 1.0,1s:1.068950
Info:Lattice Sieving: Total time: 252934s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 116.37/336.766
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 335.70000000000005s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 665.34/751.712
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 689.6999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 456.52/602.26
Info:Filtering - Merging: Merged matrix has 1591102 rows and total weight 270487689 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1489.69/1439.22
Info:Filtering - Merging: Total cpu/real time for replay: 142.92/125.813
Info:Linear Algebra: Total cpu/real time for bwc: 95695/20828.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 12951.9, iteration CPU time 0.2, COMM 0.0, cpu-wait 0.05, comm-wait 0.0 (50000 iterations)
Info:Linear Algebra: Lingen CPU time 507.28, WCT time 109.62
Info:Linear Algebra: Mksol: WCT time 7109.28, iteration CPU time 0.22, COMM 0.0, cpu-wait 0.05, comm-wait 0.0 (25000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 102.42/29.8259
Info:Square Root: Total cpu/real time for sqrt: 6784.31/950.949
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 420310/71144.9
Info:root: Cleaning up computation data in /tmp/cado.4whlkm52
852373758595431198064411748896696440637996171276991558824344062682141374368203047303 44047558608899064362887417906543445631096109

cado-nfs-3.0.0

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)

7467462119513968012951694962155659099075722041292325017486976464705678429653576881680363322696359549885646689133<112>

2457093403688479319664170728457310796129<40>
3039144587789843907203350478023534458857047279416568642559709874846996877<73>

Number: k112
N=7467462119513968012951694962155659099075722041292325017486976464705678429653576881680363322696359549885646689133
  ( 112 digits)
Divisors found:
 r1=2457093403688479319664170728457310796129 (pp40)
 r2=3039144587789843907203350478023534458857047279416568642559709874846996877 (pp73)
Version: Msieve-1.40
Total time: 20.59 hours.
Scaled time: 39.22 units (timescale=1.905).
Factorization parameters were as follows:
name: k112
n: 7467462119513968012951694962155659099075722041292325017486976464705678429653576881680363322696359549885646689133
skew: 12657.51
# norm 5.47e+014
c5: 28560
c4: 530928971
c3: 2037133713074
c2: -419103404823800988
c1: -1897409093381486878554
c0: 38216028700230682755672
# alpha -4.71
Y1: 161322859379
Y0: -3044267978019637357055
# Murphy_E 8.01e-010
# M 2195131600680299451027265016533503115586418627593401937267156427618153008947681997114789865599204287567335628168
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 440463 x 440690
Polynomial selection time: 1.84 hours.
Total sieving time: 18.03 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 20.59 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

4591567128595180442559875733949349167457555446430658289401029345192216887046791148659273098429090342466134913010413186954312547644873973<136>

12795140763129696042682855681236602904047<41>
358852412302190372141753132996466294204484030257632670304459729657364454539455708631217563981659<96>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2585024994
Step 1 took 7488ms
Step 2 took 6568ms
********** Factor found in step 2: 12795140763129696042682855681236602904047
Found probable prime factor of 41 digits: 12795140763129696042682855681236602904047
Probable prime cofactor 358852412302190372141753132996466294204484030257632670304459729657364454539455708631217563981659 has 96 digits

GMP-ECM 6.2.3

3841830764882238469114031285683685906724362699340415588476989403913098154200444525594333172254609581866542732126217381146267667973772401616011<142>

3073480102628571680532000160547407<34>
1249993699844206061025133682364920091806307817079486798775344546830615738578770204231244010987809751087027973<109>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1011604966
Step 1 took 21746ms
Step 2 took 11981ms
********** Factor found in step 2: 3073480102628571680532000160547407
Found probable prime factor of 34 digits: 3073480102628571680532000160547407
Probable prime cofactor 1249993699844206061025133682364920091806307817079486798775344546830615738578770204231244010987809751087027973 has 109 digits

GMP-ECM 6.3

7760372445331361015093018001153879082467453625682466515251853627362135267204767504592737095358190792491619504364887445050978258844468485953923750561<148>

587774708625614238014512395182845499<36>
13202971021800744716224599740049498754311281175214958631729367720545974838219474478424071653740576282027289673939<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3068385093
Step 1 took 21763ms
********** Factor found in step 1: 587774708625614238014512395182845499
Found probable prime factor of 36 digits: 587774708625614238014512395182845499
Probable prime cofactor 13202971021800744716224599740049498754311281175214958631729367720545974838219474478424071653740576282027289673939 has 113 digits

GMP-ECM 6.3

65228544771151332448285447537229904350797450826799403050670186213467862660580742969004673878424763611347687928611457541323779724619084957263619188675453637840250619392295877165070637<182>

1540581325486405932426446273329903207530336629733221489933<58>
42340215146095452391007365933753357127258204757558865620948108476111069740411616958441466265611644022681446230558489824560289<125>

N=65228544771151332448285447537229904350797450826799403050670186213467862660580742969004673878424763611347687928611457541323779724619084957263619188675453637840250619392295877165070637
  ( 182 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=1540581325486405932426446273329903207530336629733221489933 (pp58)
 r2=42340215146095452391007365933753357127258204757558865620948108476111069740411616958441466265611644022681446230558489824560289 (pp125)
Version: Msieve v. 1.48
Total time:
Scaled time: 191.39 units (timescale=0.676).
Factorization parameters were as follows:
n: 65228544771151332448285447537229904350797450826799403050670186213467862660580742969004673878424763611347687928611457541323779724619084957263619188675453637840250619392295877165070637
m: 2000000000000000000000000000000000000000
deg: 5
c5: 23125
c0: 7
skew: 0.20
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 1000000
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7800000, 18800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3341368 x 3341598
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15600000,15600000,29,29,56,56,2.6,2.6,100000
total time:

4190186111268983584182199859403948868931167346648517569286468045654984659712498853607646743016992790937151356468365487179535276863099423525081070221483321306264754716153797<172>

1663638137525863502295757781154859<34>

2518688419526473785505820893830033979800268146389275724128944692412991268754888338594332129285102892100038946292539845528077515863286469583<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1646370199
Step 1 took 25257ms
Step 2 took 14289ms
********** Factor found in step 2: 1663638137525863502295757781154859
Found probable prime factor of 34 digits: 1663638137525863502295757781154859
Composite cofactor 2518688419526473785505820893830033979800268146389275724128944692412991268754888338594332129285102892100038946292539845528077515863286469583 has 139 digits

GMP-ECM 6.3

2518688419526473785505820893830033979800268146389275724128944692412991268754888338594332129285102892100038946292539845528077515863286469583<139>

4386351317806065259092355919703354028494928870354411306607719<61>
574210371454298801590039988286716267723473335484924517780748156122286236218457<78>

Number: 82223_200
N = 2518688419526473785505820893830033979800268146389275724128944692412991268754888338594332129285102892100038946292539845528077515863286469583 (139 digits)
Divisors found:
r1=4386351317806065259092355919703354028494928870354411306607719 (pp61)
r2=574210371454298801590039988286716267723473335484924517780748156122286236218457 (pp78)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 288.96 hours.
Factorization parameters were as follows:
# Murphy_E = 2.968e-11, selected by Erik Branger
n: 2518688419526473785505820893830033979800268146389275724128944692412991268754888338594332129285102892100038946292539845528077515863286469583
Y0: -635182838571493798427533599
Y1: 740332500465679
c0: 5187761894131249596766111374900320
c1: 4960980295365983258413669052
c2: -61539287419885761254476
c3: -25469552166170693
c4: 162784158494
c5: 24360
skew: 694100.01
type: gnfs
# selected mechanically
rlim: 16500000
alim: 16500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8250000, 20350000)
Relations: 23013522
Relations in full relation-set: 3752840 relations
Pruned matrix : 2335511 x 2335737
Polynomial selection time: 0.00 hours.
Total sieving time: 283.89 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 4.63 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16500000,16500000,28,28,55,55,2.6,2.6,100000
total time: 288.96 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

29797988034699936315785687983215645808310847070837737242825412666451263948991312718956347450810213567268160249717226917643109515715302978734574096890867566262804086903385503565756951<182>

54488066767433033253784017670820223527289419305247473504123<59>
546871816206734876647030560842819391294882663470653121983667306049962276079302227016781583486065347690509425878093742722837<123>

Number: n
N=29797988034699936315785687983215645808310847070837737242825412666451263948991312718956347450810213567268160249717226917643109515715302978734574096890867566262804086903385503565756951  ( 182 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Sep 24 06:10:32 2021  p59 factor: 54488066767433033253784017670820223527289419305247473504123
Fri Sep 24 06:10:32 2021  p123 factor: 546871816206734876647030560842819391294882663470653121983667306049962276079302227016781583486065347690509425878093742722837
Fri Sep 24 06:10:32 2021  elapsed time 01:52:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 74x10^201+7 = 82(200)3
#
n: 29797988034699936315785687983215645808310847070837737242825412666451263948991312718956347450810213567268160249717226917643109515715302978734574096890867566262804086903385503565756951
m: 10000000000000000000000000000000000000000
deg: 5
c5: 740
c0: 7
skew: 0.39
# Murphy_E = 1.073e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9194662 hash collisions in 61756712 relations (54859983 unique)
Msieve: matrix is 2162109 x 2162335 (749.4 MB)

Sieving start time : 2021/09/23 15:25:38
Sieving end time  : 2021/09/24 04:16:41

Total sieving time: 12hrs 51min 3secs.

Total relation processing time: 1hrs 31min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 11sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.154026] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892)
[    0.150212] smpboot: Total of 16 processors activated (102391.13 BogoMIPS)

65344054804210327019749374767296168280849075589176163476645599645880887782426387470473079395257895330727266443424181184995190653170539401333574016184776782134721284289781342649508049<182>

6115733519668260543865471810321908671<37>
10684581758518939582793553207601183887253911037665790184385926761342095732292115250119495529662459085539909020996263193052374759685053942202302319<146>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2196882443
Step 1 took 8580ms
********** Factor found in step 1: 6115733519668260543865471810321908671
Found probable prime factor of 37 digits: 6115733519668260543865471810321908671
Probable prime cofactor 10684581758518939582793553207601183887253911037665790184385926761342095732292115250119495529662459085539909020996263193052374759685053942202302319 has 146 digits

GMP-ECM 6.3

3497704173641306239514899211195556517683229604984573995953625910547428669181232636639070554992894643510785058505947444863541960474785540137105161871953100531204264887652984550757626761<184>

453789053558110974529462710230237057<36>
7707775553897092607200957811138977095377730341370534303430063199294980376184513873820953449613109727852419202419913025834134921943812735133874468873<148>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1775285533
Step 1 took 116351ms
Step 2 took 38714ms
********** Factor found in step 2: 453789053558110974529462710230237057
Found probable prime factor of 36 digits: 453789053558110974529462710230237057

1345853407464393993128872738647999316160971342416025112897094957232779896587534123749402095530129838479403896063742527330827136042136123978560918963256383255401146157861329812289824075134994552931141411<202>

11575967837678317353757813331505963085670793464377<50>
4028762249256736834058245247216938362204250376800999<52>
28858171361410967142097856187820162415140873273288587380240845510310675822909542319425653635512745357<101>

Number: n
N=1345853407464393993128872738647999316160971342416025112897094957232779896587534123749402095530129838479403896063742527330827136042136123978560918963256383255401146157861329812289824075134994552931141411
  ( 202 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Jul 28 03:45:14 2012  prp50 factor: 11575967837678317353757813331505963085670793464377
Sat Jul 28 03:45:14 2012  prp52 factor: 4028762249256736834058245247216938362204250376800999
Sat Jul 28 03:45:14 2012  prp101 factor: 28858171361410967142097856187820162415140873273288587380240845510310675822909542319425653635512745357
Sat Jul 28 03:45:14 2012  elapsed time 15:32:12 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
name: KA_82223_205
n: 1345853407464393993128872738647999316160971342416025112897094957232779896587534123749402095530129838479403896063742527330827136042136123978560918963256383255401146157861329812289824075134994552931141411
m: 100000000000000000000000000000000000000000
#  c202, diff: 206.87
skew: 0.624
deg: 5
c5: 74
c0: 7
# Murphy_E = 8.411e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28800000)
Primes: RFBsize:1246718, AFBsize:1245841,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6855409 hash collisions in 48303205 relations (43091935 unique)
Msieve: matrix is 2951140 x 2951365 (839.2 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,206,5,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000
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.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

100752712796533498644257440925648552870260334476210965377296451010227342262814191423786232755249940710922135056521002891630004670517493271667849824419095842629438937648235658660277965642194874894027<198>

2451848007598180349869727368394954099234174621901667077959303946475387397<73>
41092560584630373613816052270264110280349113742112464195565842084066075100563496368644939196894927695034231996113707660379791<125>

Number: n
N=100752712796533498644257440925648552870260334476210965377296451010227342262814191423786232755249940710922135056521002891630004670517493271667849824419095842629438937648235658660277965642194874894027
  ( 198 digits)
SNFS difficulty: 208 digits.
Divisors found:

Tue Jun  1 17:03:28 2021  p73 factor: 2451848007598180349869727368394954099234174621901667077959303946475387397
Tue Jun  1 17:03:28 2021  p125 factor: 41092560584630373613816052270264110280349113742112464195565842084066075100563496368644939196894927695034231996113707660379791
Tue Jun  1 17:03:28 2021  elapsed time 03:22:03 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 74x10^207+7 = 82(206)3
#
n: 100752712796533498644257440925648552870260334476210965377296451010227342262814191423786232755249940710922135056521002891630004670517493271667849824419095842629438937648235658660277965642194874894027
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7400
c0: 7
skew: 0.25
# Murphy_E = 5.797e-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, 44900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9396168 hash collisions in 60322184 relations (52965712 unique)
Msieve: matrix is 2881143 x 2881368 (1007.5 MB)

Sieving start time : 2021/05/31 21:25:41
Sieving end time  : 2021/06/01 13:40:05

Total sieving time: 16hrs 14min 24secs.

Total relation processing time: 2hrs 56min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 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)

161032284982034982931056642340166767495487104967659553774221573646498682987937409018993467394382123328541718047583878877571393038569710058137689463930004762622109107778168708232150287528007749<192>

58297667131582309134899558407474380317<38>

2762242348713075538634877299967289533634571945567067417587280335208483406629149862900847309581218691628470646468698464187848534631900693565127465918401097<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2666862540
Step 1 took 31985ms
Step 2 took 11730ms
********** Factor found in step 2: 58297667131582309134899558407474380317
Found probable prime factor of 38 digits: 58297667131582309134899558407474380317

21027088004046293691589448948219375040846539197049388083324098463601826515157973102376345094295123704631926507485927479278373071688162601903235614204082096571163906150991540859325939754551370028443398773041<206>

280407774480014127113633104993697135727197<42>
212119936298162606081245518542831460217790784218329013004429271<63>
353514794626586802713472205474421059221785300436774334557948011107187154386276799600860810939601230243<102>

Number: n
N=21027088004046293691589448948219375040846539197049388083324098463601826515157973102376345094295123704631926507485927479278373071688162601903235614204082096571163906150991540859325939754551370028443398773041
  ( 206 digits)
SNFS difficulty: 211 digits.
Divisors found:

Tue Jul 31 16:07:35 2012  prp42 factor: 280407774480014127113633104993697135727197
Tue Jul 31 16:07:35 2012  prp63 factor: 212119936298162606081245518542831460217790784218329013004429271
Tue Jul 31 16:07:35 2012  prp102 factor: 353514794626586802713472205474421059221785300436774334557948011107187154386276799600860810939601230243
Tue Jul 31 16:07:35 2012  elapsed time 15:15:14 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
name: KA_82223_209
n: 21027088004046293691589448948219375040846539197049388083324098463601826515157973102376345094295123704631926507485927479278373071688162601903235614204082096571163906150991540859325939754551370028443398773041
m: 1000000000000000000000000000000000000000000
#  c206, diff: 211.57
skew: 0.989
deg: 5
c5: 37
c0: 35
# Murphy_E = 4.9e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 28
lpba: 28
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 57/57
Sieved  special-q in [100000, 72800000)
Primes: RFBsize:1507122, AFBsize:1506759, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8373333 hash collisions in 43023010 relations (35227955 unique)
Msieve: matrix is 3061836 x 3062061 (860.5 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,211,5,0,0,0,0,0,0,0,0,24000000,24000000,28,28,57,57,2.6,2.6,100000
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.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

16814360372642581231538286753010679391047489206998409452397182458532151783685526016814360372642581231538286753010679391047489206998409452397182458532151783685526016814360372642581231538286753010679391047489207<209>

1457634931541380382441857218638116027344117606347717501071942526136506008912087<79>
11535371449188711452996608663190401098822242698415808333901018960835237884602284376384228601048133206597456384743619487654949993761<131>

Number: n
N=16814360372642581231538286753010679391047489206998409452397182458532151783685526016814360372642581231538286753010679391047489206998409452397182458532151783685526016814360372642581231538286753010679391047489207
  ( 209 digits)
SNFS difficulty: 211 digits.
Divisors found:

Wed Jun 27 17:49:45 2012  prp79 factor: 1457634931541380382441857218638116027344117606347717501071942526136506008912087
Wed Jun 27 17:49:45 2012  prp131 factor: 11535371449188711452996608663190401098822242698415808333901018960835237884602284376384228601048133206597456384743619487654949993761
Wed Jun 27 17:49:45 2012  elapsed time 15:12:25 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
name: KA_82223_210
n: 16814360372642581231538286753010679391047489206998409452397182458532151783685526016814360372642581231538286753010679391047489206998409452397182458532151783685526016814360372642581231538286753010679391047489207
m: 1000000000000000000000000000000000000000000
#  c209, diff: 211.87
skew: 0.62
deg: 5
c5: 74
c0: 7
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 28
lpba: 28
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 57/57
Sieved  special-q in [100000, 69000000)
Primes: RFBsize:1507122, AFBsize:1506344, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9381123 hash collisions in 44997560 relations (35962103 unique)
Msieve: matrix is 2949046 x 2949271 (829.8 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:
snfs,211,5,0,0,0,0,0,0,0,0,24000000,24000000,28,28,57,57,2.6,2.6,100000
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.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

4327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380116959064327485380117<211>

46560987559365273064227859808213598793786667<44>

92942302278262760435663214405393387723714313174722030008031296839490807347474693962150708761560265304507864806253135884945416269941174962551796558348747810711798780351<167>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4239068627
Step 1 took 391638ms
********** Factor found in step 1: 46560987559365273064227859808213598793786667
Found probable prime factor of 44 digits: 46560987559365273064227859808213598793786667

208434947538159214951854668591771469708469666082463241617335257794344931598114868266621977388101352298927193365549897088893090146356980745071512105104609914853094206248890760646872101059955469986613<198>

29470330545599362803663878932696136997212266029470330545599362803663878932696136997212266029470330545599362803663878932696136997212266029470330545599362803663878932696136997212266029470330545599362803663878932696137<215>

7172537448524024721915587512291<31>

4108773325633010205551576098729331165986904679729693730938910427463007781910314580835207635538899192467330745072542383832107904052577375496162816519587784614283446796604827263074491107<184>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1460047131
Step 1 took 11372ms
Step 2 took 6225ms
********** Factor found in step 2: 7172537448524024721915587512291
Found probable prime factor of 31 digits: 7172537448524024721915587512291
Composite cofactor 4108773325633010205551576098729331165986904679729693730938910427463007781910314580835207635538899192467330745072542383832107904052577375496162816519587784614283446796604827263074491107 has 184 digits

GMP-ECM 6.3

1288083207998405404914947829772929904274064777735929365942895186582150965164633764367618470732554309753080073320429052989439861654079345356591701802922452315494638773718788271527795818758822471<193>

44409303115843787127516927981830694248676551357910380307118720163268320391293447390614074214178683043589127008261100242714701192034688358391603749779793980685695189268015281859947067468095425518201133313<203>

543634852876258202595267823205495287094162826892873259203691<60>
81689580572112808699461468824186274303296645613210084460590396825268816809047256636636097657535542364823657070981516857839278796993150208760643<143>

Number: 82223_220
N = 44409303115843787127516927981830694248676551357910380307118720163268320391293447390614074214178683043589127008261100242714701192034688358391603749779793980685695189268015281859947067468095425518201133313 (203 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=543634852876258202595267823205495287094162826892873259203691 (pp60)
r2=81689580572112808699461468824186274303296645613210084460590396825268816809047256636636097657535542364823657070981516857839278796993150208760643 (pp143)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 95.54 hours.
Factorization parameters were as follows:
n: 44409303115843787127516927981830694248676551357910380307118720163268320391293447390614074214178683043589127008261100242714701192034688358391603749779793980685695189268015281859947067468095425518201133313
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 74
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 8766052 relations
Pruned matrix : 7538492 x 7538717
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 41.83 hours.
Total relation processing time: 0.89 hours.
Matrix solve time: 52.44 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 95.54 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

822222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<222>

6929381624442579936497897309<28>

118657373310474038552890261084216058547780781492405584542208333004709010730362668597358017054555372541052998834446587617438169939220965037674694728195432723068137961395302078216518046275383184347<195>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2714701930
Step 1 took 11466ms
Step 2 took 6552ms
********** Factor found in step 2: 6929381624442579936497897309
Found probable prime factor of 28 digits: 6929381624442579936497897309
Composite cofactor 118657373310474038552890261084216058547780781492405584542208333004709010730362668597358017054555372541052998834446587617438169939220965037674694728195432723068137961395302078216518046275383184347 has 195 digits

GMP-ECM 6.3

118657373310474038552890261084216058547780781492405584542208333004709010730362668597358017054555372541052998834446587617438169939220965037674694728195432723068137961395302078216518046275383184347<195>

105955460241066831445127593376755723<36>

1119879740416474789794680610079460947256800622074035735256152731600941742921228308513314735656580307457093571794351669711764012822890875017249113717997314975089<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=799358329
Step 1 took 27282ms
Step 2 took 9968ms
********** Factor found in step 2: 105955460241066831445127593376755723
Found probable prime factor of 36 digits: 105955460241066831445127593376755723

1119879740416474789794680610079460947256800622074035735256152731600941742921228308513314735656580307457093571794351669711764012822890875017249113717997314975089<160>

38325267077327481204512715460493750119947083632381<50>
29220402773891559411922422757178752172722152728902387132778685447359655126982654022187366445451982074727156869<110>

Number: 82223_221
N = 1119879740416474789794680610079460947256800622074035735256152731600941742921228308513314735656580307457093571794351669711764012822890875017249113717997314975089 (160 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=38325267077327481204512715460493750119947083632381 (pp50)
r2=29220402773891559411922422757178752172722152728902387132778685447359655126982654022187366445451982074727156869 (pp110)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 43.71 hours.
Factorization parameters were as follows:
n: 1119879740416474789794680610079460947256800622074035735256152731600941742921228308513314735656580307457093571794351669711764012822890875017249113717997314975089
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 740
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 35484001
Relations: 8946280 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.71 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 7681092 x 7681317
Matrix solve time: 23.45 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 43.71 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, Msieve

145012060389761980336896169853189607759402140729333327264603718551812476029999733898962239940911646057463279573620095213907284446609383721282088041555765508503188838045731202946607530118221462564676941<201>

63089394610583985864825800899035982644894621372377103778626387454211<68>
2298517227575908716838030387665815953486006176499071242783836933782016413326198579869804070242965680698889299693451610568682989592431<133>

Number: 82223_222
N = 145012060389761980336896169853189607759402140729333327264603718551812476029999733898962239940911646057463279573620095213907284446609383721282088041555765508503188838045731202946607530118221462564676941 (201 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=63089394610583985864825800899035982644894621372377103778626387454211 (pp68)
r2=2298517227575908716838030387665815953486006176499071242783836933782016413326198579869804070242965680698889299693451610568682989592431 (pp133)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 98.50 hours.
Factorization parameters were as follows:
n: 145012060389761980336896169853189607759402140729333327264603718551812476029999733898962239940911646057463279573620095213907284446609383721282088041555765508503188838045731202946607530118221462564676941
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7400
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36280721
Relations: 10067090 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 38.33 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 8632562 x 8632787
Matrix solve time: 58.20 hours.
time per square root: 1.56 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 98.50 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

3255204037508748360850804761219786537795778176320326153848860876538468813605697134936565311050142019273447256676797389502318892984287482024895272607941906045133843872496297205407333798739532209584112492813257302324435629<220>

1257596821591640334336326274296409562165173018049809235665047634447816128080741679276173236962194118767<103>
2588432144245478735686558963323862147655986397637237856162370189177190164781401500623719767889203339456636000921498787<118>

Number: n
N=3255204037508748360850804761219786537795778176320326153848860876538468813605697134936565311050142019273447256676797389502318892984287482024895272607941906045133843872496297205407333798739532209584112492813257302324435629
  ( 220 digits)
SNFS difficulty: 225 digits.
Divisors found:

Fri Nov  1 01:19:06 2019  p103 factor: 1257596821591640334336326274296409562165173018049809235665047634447816128080741679276173236962194118767
Fri Nov  1 01:19:06 2019  p118 factor: 2588432144245478735686558963323862147655986397637237856162370189177190164781401500623719767889203339456636000921498787
Fri Nov  1 01:19:06 2019  elapsed time 21:59:48 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.132).
Factorization parameters were as follows:
#
# N = 74x10^224+7 = 82(223)3
#
n: 3255204037508748360850804761219786537795778176320326153848860876538468813605697134936565311050142019273447256676797389502318892984287482024895272607941906045133843872496297205407333798739532209584112492813257302324435629
m: 10000000000000000000000000000000000000
deg: 6
c6: 7400
c0: 7
skew: 0.31
# Murphy_E = 1.116e-12
type: snfs
lss: 1
rlim: 41000000
alim: 41000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 41000000/41000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 161300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 19279567 hash collisions in 110846200 relations (94110880 unique)
Msieve: matrix is 6557839 x 6558064 (2289.3 MB)

Sieving start time: 2019/10/27 09:39:35
Sieving end time  : 2019/10/31 03:15:04

Total sieving time: 89hrs 35min 29secs.

Total relation processing time: 20hrs 46min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 34min 27sec.

Prototype def-par.txt line would be:
snfs,225,6,0,0,0,0,0,0,0,0,41000000,41000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

13058048495827512355296088602741166715457888411211358102333808540422512569695128095044241197684208037299433227757246643419811141797525076305765146056919327552852892437148877457802651595561181104015649894662134465077925669<221>

23380798698626793706137641021545549<35>

558494543498825836840058901153148340892949457433380972098059756947442190376866506491864126422326166951825763335972630537394080584986260450803686542297959985544049837088617696377107853881<186>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3266518550
Step 1 took 42846ms
Step 2 took 14483ms
********** Factor found in step 2: 23380798698626793706137641021545549
Found probable prime factor of 35 digits: 23380798698626793706137641021545549

1288585015699927712948526924863589771545581251201880627829914692187451456123916730739991052375392174848312801928783592638919386412651502143034294687906189598009682421881644684733646328315036817<193>

684522064132952296198400514164429011909309044097260755206439645536466711491706007789307736996829114435654765802589775210471856056315257244196014588829130306946343596565879607332209877406087967386359187695526969120481781<219>

28793852766961025875744814919947325940765177<44>
23773201511900293030628347867441315974785313267051325872482286898200296494225130022342271253964254241001780916622328468309949227053009803858834686540527437480604317073938796253<176>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3628088100
Step 1 took 460382ms
Step 2 took 64474ms
********** Factor found in step 2: 28793852766961025875744814919947325940765177
Found probable prime factor of 44 digits: 28793852766961025875744814919947325940765177

1880903777309908855533548705468504865236608871459994873820205129495977062794044792015267342545812548517441112019539385654378287938841710069777938180583718985394813668247<169>

13286994544839449016418468032547800290561074030431085100418768541271449278337450227793760685560367117432804557814037590871887895673477883516578135511791391585704385389966260352707687220679431579285043306597584062770031792133<224>

2639793689659914515651364737509551416369<40>

5033345824290994827314195075560370408800126700984139404357308254489510452143084140948572109390970769966394680150785156278724269238804958404015755266666149583467873574357911619753383957<184>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2224642470
Step 1 took 157446ms
Step 2 took 47871ms
********** Factor found in step 2: 2639793689659914515651364737509551416369
Found probable prime factor of 40 digits: 2639793689659914515651364737509551416369

5033345824290994827314195075560370408800126700984139404357308254489510452143084140948572109390970769966394680150785156278724269238804958404015755266666149583467873574357911619753383957<184>

125342871855934254060911046136949794800130243<45>
40156618001191068559900507500778862644114636592716062523862741140261401193467632173686785991080409857459058931189957139045383307973267619399<140>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2505844795
Step 1 took 337119ms
Step 2 took 93996ms
********** Factor found in step 2: 125342871855934254060911046136949794800130243
Found probable prime factor of 45 digits: 125342871855934254060911046136949794800130243

14105294422494221828154845572539326759765032644930713208595132774722873930519205003471349709631314934497782417749225480726166793307895338953820958299289705732207134537068544043<176>

147829972509861783835613585949709686837031856936891892181475429864491941409247419180334502735843678450500359899362788362393790800820924890425204045462743481393561782137844260152094894351860399411519668021<204>

28197215467137270272809852951271<32>

5242715284498631408009096126927139680812577070623683398584480347570294061475861883270050764473140608799700003349413895868536369747013494994296589808953790320107808847269251<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1986603764
Step 1 took 37017ms
Step 2 took 13058ms
********** Factor found in step 2: 28197215467137270272809852951271
Found probable prime factor of 32 digits: 28197215467137270272809852951271

62207496565589740328461521029502310034697898830456555385535518677815665251010543840529187424803571650570502527352917481384648555894775265582781406508659300476201796501848247868998248556387651287402349<200>

172978749064360972562398627090041280060812614052310499368491258543942200549270589271851951539858686976752501190754197791735599281709118156859975601261876092313874157976092677471257542679354049306781937282536552489645657906267<225>

14952966499715157152012636544345188663<38>
11568189433692377267530753114978409204214774679872876976343322227537617336160980997125642434344274217671283128608132180238326346962271120888958676948186065633564035621056425537459340634109<188>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2133417086
Step 1 took 33586ms
Step 2 took 11326ms
********** Factor found in step 2: 14952966499715157152012636544345188663
Found probable prime factor of 38 digits: 14952966499715157152012636544345188663

78526910944200023021964587116159193512039566373712252062345183716420418430396632345582300426680478920211943443765756348688831750344848467808770484544075383447240076215772647167644899537302605608989327779106673633687421<218>

28563710049988958000182634384819142299<38>

2749184570448697000321545624835894462846921312690380515146259386210622425404452462404725678658088941883106555129063478568401575437930091867359771966046867998738228223238283059214279<181>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3457952173
Step 1 took 42688ms
Step 2 took 14110ms
********** Factor found in step 2: 28563710049988958000182634384819142299
Found probable prime factor of 38 digits: 28563710049988958000182634384819142299

1371245682197506445317965004698369496232131881221216580287453861752122141670803566647080089827710392170706004369826442916432026147060910918506683803531624724152621126856347005208695254174284955600361934738711914809323655303672548013519<235>

662427019908847369481020575885184895952582048116650055041412901379098784754180534467208315810470934057175552498277049437608505224086224475788532097044652986604556268895877390256683042083624089941394637603412552458580051<219>