130226373959037120408897782242685193121360604141675290599021813285783982746449324201474759<90>

1220440232504536752439016607144455724019<40>
106704425575836651096236897680730256801192448458461<51>

Number: 27771_101
N=130226373959037120408897782242685193121360604141675290599021813285783982746449324201474759
  ( 90 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=1220440232504536752439016607144455724019
 r2=106704425575836651096236897680730256801192448458461
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.944).
Factorization parameters were as follows:
n: 130226373959037120408897782242685193121360604141675290599021813285783982746449324201474759
Y1: 1
Y0: -100000000000000000000
c5: 250
c0: -61
skew: 0.75
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 285001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 42339 x 42554
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.30 hours.

Msieve-1.37 snfs

Opteron-2.8GHz; Linux x86_64

7373315825985276969439340659001240598496120288389807384293268160113990464333518578797<85>

619747506717711772232144970127654889620759<42>
11897290019020184431574871639392025782656283<44>

Mon Sep  1 11:02:19 2008  Msieve v. 1.37
Mon Sep  1 11:02:19 2008  random seeds: 714daeb2 a296f0bc
Mon Sep  1 11:02:19 2008  factoring 7373315825985276969439340659001240598496120288389807384293268160113990464333518578797 (85 digits)
Mon Sep  1 11:02:20 2008  no P-1/P+1/ECM available, skipping
Mon Sep  1 11:02:20 2008  commencing quadratic sieve (85-digit input)
Mon Sep  1 11:02:20 2008  using multiplier of 2
Mon Sep  1 11:02:20 2008  using 64kb Opteron sieve core
Mon Sep  1 11:02:20 2008  sieve interval: 6 blocks of size 65536
Mon Sep  1 11:02:20 2008  processing polynomials in batches of 17
Mon Sep  1 11:02:20 2008  using a sieve bound of 1434241 (54705 primes)
Mon Sep  1 11:02:20 2008  using large prime bound of 116173521 (26 bits)
Mon Sep  1 11:02:20 2008  using double large prime bound of 328997602795950 (41-49 bits)
Mon Sep  1 11:02:20 2008  using trial factoring cutoff of 49 bits
Mon Sep  1 11:02:20 2008  polynomial 'A' values have 11 factors
Mon Sep  1 11:31:50 2008  54866 relations (16358 full + 38508 combined from 570198 partial), need 54801
Mon Sep  1 11:31:50 2008  begin with 586556 relations
Mon Sep  1 11:31:51 2008  reduce to 128079 relations in 8 passes
Mon Sep  1 11:31:51 2008  attempting to read 128079 relations
Mon Sep  1 11:31:51 2008  recovered 128079 relations
Mon Sep  1 11:31:51 2008  recovered 107644 polynomials
Mon Sep  1 11:31:52 2008  attempting to build 54866 cycles
Mon Sep  1 11:31:52 2008  found 54866 cycles in 5 passes
Mon Sep  1 11:31:52 2008  distribution of cycle lengths:
Mon Sep  1 11:31:52 2008     length 1 : 16358
Mon Sep  1 11:31:52 2008     length 2 : 11052
Mon Sep  1 11:31:52 2008     length 3 : 9697
Mon Sep  1 11:31:52 2008     length 4 : 7070
Mon Sep  1 11:31:52 2008     length 5 : 4547
Mon Sep  1 11:31:52 2008     length 6 : 2753
Mon Sep  1 11:31:52 2008     length 7 : 1601
Mon Sep  1 11:31:52 2008     length 9+: 1788
Mon Sep  1 11:31:52 2008  largest cycle: 18 relations
Mon Sep  1 11:31:52 2008  matrix is 54705 x 54866 (12.5 MB) with weight 2844525 (51.84/col)
Mon Sep  1 11:31:52 2008  sparse part has weight 2844525 (51.84/col)
Mon Sep  1 11:31:52 2008  filtering completed in 4 passes
Mon Sep  1 11:31:52 2008  matrix is 49391 x 49455 (11.4 MB) with weight 2593007 (52.43/col)
Mon Sep  1 11:31:52 2008  sparse part has weight 2593007 (52.43/col)
Mon Sep  1 11:31:52 2008  saving the first 48 matrix rows for later
Mon Sep  1 11:31:52 2008  matrix is 49343 x 49455 (6.7 MB) with weight 1918802 (38.80/col)
Mon Sep  1 11:31:52 2008  sparse part has weight 1248764 (25.25/col)
Mon Sep  1 11:31:52 2008  matrix includes 64 packed rows
Mon Sep  1 11:31:52 2008  using block size 19782 for processor cache size 1024 kB
Mon Sep  1 11:31:53 2008  commencing Lanczos iteration
Mon Sep  1 11:31:53 2008  memory use: 6.4 MB
Mon Sep  1 11:32:03 2008  lanczos halted after 781 iterations (dim = 49337)
Mon Sep  1 11:32:03 2008  recovered 14 nontrivial dependencies
Mon Sep  1 11:32:04 2008  prp42 factor: 619747506717711772232144970127654889620759
Mon Sep  1 11:32:04 2008  prp44 factor: 11897290019020184431574871639392025782656283
Mon Sep  1 11:32:04 2008  elapsed time 00:29:45

Msieve v. 1.37/QS

Opteron-2.8GHz; Linux x86_64

188363537892731304918189934923172037561952148759302117343469768319278002963865656881762961384765891041749099<108>

2077909526098467227127095357094899<34>
90650500191125839001849566503209300133757025311439466547532183753689765801<74>

Number: 27771_120
N=188363537892731304918189934923172037561952148759302117343469768319278002963865656881762961384765891041749099
  ( 108 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=2077909526098467227127095357094899 (pp34)
 r2=90650500191125839001849566503209300133757025311439466547532183753689765801 (pp74)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.05 hours.
Scaled time: 0.97 units (timescale=0.473).
Factorization parameters were as follows:
name: 27771_120
n: 188363537892731304918189934923172037561952148759302117343469768319278002963865656881762961384765891041749099
m: 1000000000000000000000000
c5: 25
c0: -61
skew: 1.2
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63799, largePrimes:2043190 encountered
Relations: rels:2063781, finalFF:182037
Max relations in full relation-set: 28
Initial matrix: 112961 x 182037 with sparse part having weight 14502213.
Pruned matrix : 92717 x 93345 with weight 4989049.
Total sieving time: 1.87 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.05 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

26653864282574460501798442838602429147898348132091860304325293141864766182174044829454183233376011500822591559488813<116>

151751901518049889837708613154968992021300406120197<51>
175641056329064573758109081077588831777126235148165732731308152329<66>

Number: 27771_121
N=26653864282574460501798442838602429147898348132091860304325293141864766182174044829454183233376011500822591559488813
  ( 116 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=151751901518049889837708613154968992021300406120197 (pp51)
 r2=175641056329064573758109081077588831777126235148165732731308152329 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.43 hours.
Scaled time: 1.90 units (timescale=0.781).
Factorization parameters were as follows:
name: 27771_121
n: 26653864282574460501798442838602429147898348132091860304325293141864766182174044829454183233376011500822591559488813
m: 1000000000000000000000000
c5: 250
c0: -61
skew: 0.75
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 650001)
Primes: RFBsize:49098, AFBsize:64054, largePrimes:2215166 encountered
Relations: rels:2352484, finalFF:253562
Max relations in full relation-set: 28
Initial matrix: 113218 x 253562 with sparse part having weight 24450133.
Pruned matrix : 87484 x 88114 with weight 6169356.
Total sieving time: 2.31 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.43 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

811639523541624539168288130012973035685928492625001245552066565976534250127979479486173118937<93>

70362686316521436307034813012932569418787<41>
11535084375410612732158710144999540847723947258858451<53>

Msieve v. 1.36
Tue Sep  2 06:30:15 2008
random seeds: fac47258 aa7b8a3d
factoring 8116395235416245391682881300129730356859284926250012455520665659765342
50127979479486173118937 (93 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (93-digit input)
using multiplier of 57
using 64kb Pentium 4 sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 1956883 (72856 primes)
using large prime bound of 244610375 (27 bits)
using double large prime bound of 1256766767596625 (42-51 bits)
using trial factoring cutoff of 51 bits
polynomial 'A' values have 12 factors

sieving in progress (press Ctrl-C to pause)
73048 relations (18356 full + 54692 combined from 993590 partial), need 72952
73048 relations (18356 full + 54692 combined from 993590 partial), need 72952
sieving complete, commencing postprocessing
begin with 1011946 relations
reduce to 187410 relations in 10 passes
attempting to read 187410 relations
recovered 187410 relations
recovered 170694 polynomials
attempting to build 73048 cycles
found 73048 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 18356
   length 2 : 12889
   length 3 : 12517
   length 4 : 9860
   length 5 : 7391
   length 6 : 4737
   length 7 : 3122
   length 9+: 4176
largest cycle: 23 relations
matrix is 72856 x 73048 (19.3 MB) with weight 4773964 (65.35/col)
sparse part has weight 4773964 (65.35/col)
filtering completed in 3 passes
matrix is 69230 x 69294 (18.5 MB) with weight 4561561 (65.83/col)
sparse part has weight 4561561 (65.83/col)
saving the first 48 matrix rows for later
matrix is 69182 x 69294 (11.9 MB) with weight 3618831 (52.22/col)
sparse part has weight 2700647 (38.97/col)
matrix includes 64 packed rows
using block size 21845 for processor cache size 512 kB
commencing Lanczos iteration
memory use: 11.2 MB
linear algebra completed 64229 out of 69294 dimensions (92.7%)
lanczos halted after 1096 iterations (dim = 69181)
recovered 18 nontrivial dependencies
prp41 factor: 70362686316521436307034813012932569418787
prp53 factor: 11535084375410612732158710144999540847723947258858451
elapsed time 04:50:14

3880699991576011953128227159099334239837445535573922171440035776758693606702134517293709663755165267331753413<109>

20453259670836204190673329947267817129<38>
189735037545599924396551452154414396763586188577807393187978065955851197<72>

Number: 27771_129
N=3880699991576011953128227159099334239837445535573922171440035776758693606702134517293709663755165267331753413
  ( 109 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=20453259670836204190673329947267817129 (pp38)
 r2=189735037545599924396551452154414396763586188577807393187978065955851197 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 5.11 hours.
Scaled time: 4.01 units (timescale=0.785).
Factorization parameters were as follows:
name: 27771_129
n: 3880699991576011953128227159099334239837445535573922171440035776758693606702134517293709663755165267331753413
m: 100000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1050001)
Primes: RFBsize:63951, AFBsize:63784, largePrimes:1545512 encountered
Relations: rels:1563329, finalFF:183787
Max relations in full relation-set: 28
Initial matrix: 127800 x 183787 with sparse part having weight 14621739.
Pruned matrix : 113248 x 113951 with weight 7290682.
Total sieving time: 4.97 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.11 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

158288910077417795908138195479665635472032771658895991675636236713434628266715780232941527665528194251098524510734201<117>

72325146532934744296452924098623296259<38>
2188573651977845386131277387482593882061834489364029224669677420951255801033939<79>

Number: 27771_130
N=158288910077417795908138195479665635472032771658895991675636236713434628266715780232941527665528194251098524510734201
  ( 117 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=72325146532934744296452924098623296259 (pp38)
 r2=2188573651977845386131277387482593882061834489364029224669677420951255801033939 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.74 hours.
Scaled time: 2.93 units (timescale=0.783).
Factorization parameters were as follows:
name: 27771_130
n: 158288910077417795908138195479665635472032771658895991675636236713434628266715780232941527665528194251098524510734201
m: 100000000000000000000000000
c5: 25
c0: -61
skew: 1.2
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 850001)
Primes: RFBsize:63951, AFBsize:63799, largePrimes:1454614 encountered
Relations: rels:1449393, finalFF:168881
Max relations in full relation-set: 28
Initial matrix: 127814 x 168881 with sparse part having weight 10444584.
Pruned matrix : 114673 x 115376 with weight 5503834.
Total sieving time: 3.62 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.74 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

372604760090404334748669246936986927822050971487117589245170278954091582540355072904735504149<93>

2285341270841103220316892131357527<34>
163041189884638045718398236420560827643537175317697019375987<60>

Mon Sep  1 10:51:50 2008  Msieve v. 1.36
Mon Sep  1 10:51:50 2008  random seeds: 6c6c726c 4abd9356
Mon Sep  1 10:51:50 2008  factoring 372604760090404334748669246936986927822050971487117589245170278954091582540355072904735504149 (93 digits)
Mon Sep  1 10:51:50 2008  no P-1/P+1/ECM available, skipping
Mon Sep  1 10:51:50 2008  commencing quadratic sieve (93-digit input)
Mon Sep  1 10:51:51 2008  using multiplier of 1
Mon Sep  1 10:51:51 2008  using 64kb Opteron sieve core
Mon Sep  1 10:51:51 2008  sieve interval: 18 blocks of size 65536
Mon Sep  1 10:51:51 2008  processing polynomials in batches of 6
Mon Sep  1 10:51:51 2008  using a sieve bound of 1923133 (71747 primes)
Mon Sep  1 10:51:51 2008  using large prime bound of 232699093 (27 bits)
Mon Sep  1 10:51:51 2008  using double large prime bound of 1148762820023984 (42-51 bits)
Mon Sep  1 10:51:51 2008  using trial factoring cutoff of 51 bits
Mon Sep  1 10:51:51 2008  polynomial 'A' values have 12 factors
Mon Sep  1 13:09:44 2008  72146 relations (17299 full + 54847 combined from 977711 partial), need 71843
Mon Sep  1 13:09:45 2008  begin with 995010 relations
Mon Sep  1 13:09:45 2008  reduce to 187321 relations in 9 passes
Mon Sep  1 13:09:45 2008  attempting to read 187321 relations
Mon Sep  1 13:09:47 2008  recovered 187321 relations
Mon Sep  1 13:09:47 2008  recovered 171042 polynomials
Mon Sep  1 13:09:47 2008  attempting to build 72146 cycles
Mon Sep  1 13:09:47 2008  found 72146 cycles in 6 passes
Mon Sep  1 13:09:47 2008  distribution of cycle lengths:
Mon Sep  1 13:09:47 2008     length 1 : 17299
Mon Sep  1 13:09:47 2008     length 2 : 12778
Mon Sep  1 13:09:47 2008     length 3 : 12307
Mon Sep  1 13:09:47 2008     length 4 : 9774
Mon Sep  1 13:09:47 2008     length 5 : 7552
Mon Sep  1 13:09:47 2008     length 6 : 4913
Mon Sep  1 13:09:47 2008     length 7 : 3199
Mon Sep  1 13:09:47 2008     length 9+: 4324
Mon Sep  1 13:09:47 2008  largest cycle: 20 relations
Mon Sep  1 13:09:47 2008  matrix is 71747 x 72146 (18.8 MB) with weight 4351494 (60.32/col)
Mon Sep  1 13:09:47 2008  sparse part has weight 4351494 (60.32/col)
Mon Sep  1 13:09:48 2008  filtering completed in 3 passes
Mon Sep  1 13:09:48 2008  matrix is 68402 x 68465 (17.9 MB) with weight 4139994 (60.47/col)
Mon Sep  1 13:09:48 2008  sparse part has weight 4139994 (60.47/col)
Mon Sep  1 13:09:48 2008  saving the first 48 matrix rows for later
Mon Sep  1 13:09:48 2008  matrix is 68354 x 68465 (10.6 MB) with weight 3144332 (45.93/col)
Mon Sep  1 13:09:48 2008  sparse part has weight 2085056 (30.45/col)
Mon Sep  1 13:09:48 2008  matrix includes 64 packed rows
Mon Sep  1 13:09:48 2008  using block size 27386 for processor cache size 1024 kB
Mon Sep  1 13:09:48 2008  commencing Lanczos iteration
Mon Sep  1 13:09:48 2008  memory use: 10.0 MB
Mon Sep  1 13:10:13 2008  lanczos halted after 1082 iterations (dim = 68350)
Mon Sep  1 13:10:13 2008  recovered 13 nontrivial dependencies
Mon Sep  1 13:10:14 2008  prp34 factor: 2285341270841103220316892131357527
Mon Sep  1 13:10:14 2008  prp60 factor: 163041189884638045718398236420560827643537175317697019375987
Mon Sep  1 13:10:14 2008  elapsed time 02:18:24

Msieve v. 1.36/QS

Opteron-2.8GHz; Linux x86_64

9259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257<136>

1901077818633176986641273760618004825731<40>
4870531426176132915928552436849317829157610124238343115163233836263288860176292922476799468932947<97>

Number: 27771_136
N=9259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
  ( 136 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1901077818633176986641273760618004825731
 r2=4870531426176132915928552436849317829157610124238343115163233836263288860176292922476799468932947
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.291).
Factorization parameters were as follows:
n: 9259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257
Y1: 1
Y0: -1000000000000000000000000000
c5: 250
c0: -61
skew: 0.75
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 154199 x 154447
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.10 hours.

Msieve-1.37 snfs

Opteron-2.2GHz; Linux x86_64

16516916640508643948357831885991140837451264045925620296168380208470962412813488436668742365820180095732542134692365768398006171<128>

6190455589244173649468957716997216405600058094976893<52>
2668126182700760482119033930880089627186177930718096494876239686787844595447<76>

Number: 27771_139
N=16516916640508643948357831885991140837451264045925620296168380208470962412813488436668742365820180095732542134692365768398006171
  ( 128 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=6190455589244173649468957716997216405600058094976893 (pp52)
 r2=2668126182700760482119033930880089627186177930718096494876239686787844595447 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.63 hours.
Scaled time: 13.07 units (timescale=0.786).
Factorization parameters were as follows:
name: 27771_139
n: 16516916640508643948357831885991140837451264045925620296168380208470962412813488436668742365820180095732542134692365768398006171
m: 10000000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1950001)
Primes: RFBsize:100021, AFBsize:99699, largePrimes:2732880 encountered
Relations: rels:2707703, finalFF:256474
Max relations in full relation-set: 28
Initial matrix: 199785 x 256474 with sparse part having weight 24432411.
Pruned matrix : 182795 x 183857 with weight 15345607.
Total sieving time: 16.20 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 16.63 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

22230767278105423457838826207878695530231315713506366491222875197108426865608784560893162769503742321415017381147<113>

2901173421641272627502030357866773367220862841<46>
7662681283468009442196894266756698463559266727460022585926879778867<67>

Number: 27771_142
N=22230767278105423457838826207878695530231315713506366491222875197108426865608784560893162769503742321415017381147
  ( 113 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=2901173421641272627502030357866773367220862841 (pp46)
 r2=7662681283468009442196894266756698463559266727460022585926879778867 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.27 hours.
Scaled time: 16.45 units (timescale=1.011).
Factorization parameters were as follows:
name: 27771_142
n: 22230767278105423457838826207878695530231315713506366491222875197108426865608784560893162769503742321415017381147
m: 50000000000000000000000000000
c5: 4
c0: -305
skew: 2.38
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2350001)
Primes: RFBsize:100021, AFBsize:99834, largePrimes:3010808 encountered
Relations: rels:3140551, finalFF:366900
Max relations in full relation-set: 28
Initial matrix: 199919 x 366900 with sparse part having weight 41430559.
Pruned matrix : 163905 x 164968 with weight 19507651.
Total sieving time: 15.88 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 16.27 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

1058340406055840797247159275511465608167592959514093349104328096492970348022598919601596788146797957174561417149<112>

1309143485309777583241846470683317<34>
484378549302141911629687706665230167387<39>
1668988046339800108673532942790290417931<40>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 1058340406055840797247159275511465608167592959514093349104328096492970348022598919601596788146797957174561417149

Run 100 out of 904:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2624782773
Step 1 took 11606ms
Step 2 took 5928ms
********** Factor found in step 2: 1309143485309777583241846470683317
Found probable prime factor of 34 digits: 1309143485309777583241846470683317
Composite cofactor 808422008688688376397533217076481426744848381871723328550796245844581316216297 has 78 digits

Tue Sep  2 11:39:26 2008  Msieve v. 1.36
Tue Sep  2 11:39:26 2008  random seeds: 5ccc56ec cd254687
Tue Sep  2 11:39:26 2008  factoring 808422008688688376397533217076481426744848381871723328550796245844581316216297 (78 digits)
Tue Sep  2 11:39:27 2008  no P-1/P+1/ECM available, skipping
Tue Sep  2 11:39:27 2008  commencing quadratic sieve (78-digit input)
Tue Sep  2 11:39:27 2008  using multiplier of 5
Tue Sep  2 11:39:27 2008  using 32kb Intel Core sieve core
Tue Sep  2 11:39:27 2008  sieve interval: 12 blocks of size 32768
Tue Sep  2 11:39:27 2008  processing polynomials in batches of 17
Tue Sep  2 11:39:27 2008  using a sieve bound of 1032511 (40529 primes)
Tue Sep  2 11:39:27 2008  using large prime bound of 103251100 (26 bits)
Tue Sep  2 11:39:27 2008  using trial factoring cutoff of 27 bits
Tue Sep  2 11:39:27 2008  polynomial 'A' values have 10 factors
Tue Sep  2 11:46:12 2008  40779 relations (20784 full + 19995 combined from 222822 partial), need 40625
Tue Sep  2 11:46:12 2008  begin with 243606 relations
Tue Sep  2 11:46:12 2008  reduce to 58257 relations in 2 passes
Tue Sep  2 11:46:12 2008  attempting to read 58257 relations
Tue Sep  2 11:46:12 2008  recovered 58257 relations
Tue Sep  2 11:46:12 2008  recovered 47947 polynomials
Tue Sep  2 11:46:13 2008  attempting to build 40779 cycles
Tue Sep  2 11:46:13 2008  found 40779 cycles in 1 passes
Tue Sep  2 11:46:13 2008  distribution of cycle lengths:
Tue Sep  2 11:46:13 2008     length 1 : 20784
Tue Sep  2 11:46:13 2008     length 2 : 19995
Tue Sep  2 11:46:13 2008  largest cycle: 2 relations
Tue Sep  2 11:46:13 2008  matrix is 40529 x 40779 (5.3 MB) with weight 1219217 (29.90/col)
Tue Sep  2 11:46:13 2008  sparse part has weight 1219217 (29.90/col)
Tue Sep  2 11:46:13 2008  filtering completed in 3 passes
Tue Sep  2 11:46:13 2008  matrix is 29746 x 29810 (4.1 MB) with weight 967944 (32.47/col)
Tue Sep  2 11:46:13 2008  sparse part has weight 967944 (32.47/col)
Tue Sep  2 11:46:13 2008  saving the first 48 matrix rows for later
Tue Sep  2 11:46:13 2008  matrix is 29698 x 29810 (2.3 MB) with weight 682503 (22.90/col)
Tue Sep  2 11:46:13 2008  sparse part has weight 436808 (14.65/col)
Tue Sep  2 11:46:13 2008  matrix includes 64 packed rows
Tue Sep  2 11:46:13 2008  commencing Lanczos iteration
Tue Sep  2 11:46:13 2008  memory use: 3.5 MB
Tue Sep  2 11:46:25 2008  lanczos halted after 471 iterations (dim = 29698)
Tue Sep  2 11:46:25 2008  recovered 18 nontrivial dependencies
Tue Sep  2 11:46:25 2008  prp39 factor: 484378549302141911629687706665230167387
Tue Sep  2 11:46:25 2008  prp40 factor: 1668988046339800108673532942790290417931
Tue Sep  2 11:46:25 2008  elapsed time 00:06:59

188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393<144>

9828296418549422058299450666557398619289<40>
87046340760163089105257888142997578027021705923<47>
220877459896081835011433334820685258323697425657910538619<57>

Number: 27771_145
N=188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393
  ( 144 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=9828296418549422058299450666557398619289
 r2=87046340760163089105257888142997578027021705923
 r3=220877459896081835011433334820685258323697425657910538619
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.731).
Factorization parameters were as follows:
n: 188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393046107331821617535903250188964474678760393
Y1: 1
Y0: -100000000000000000000000000000
c5: 25
c0: -61
skew: 1.2
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved rational special-q in [750000, 1950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 224466 x 224712
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 5.00 hours.

Msieve-1.37 snfs

Opteron-2.6GHz; Linux x86_64

182167207812755629686046229168270893227835379964737052055815747768780391916854905259389815243129008035784843900450078564467304547383<132>

9229490189668026616203266998176737<34>
19737515731549627398346041144166461110062712518326895924348032317964415590287193972630324247892759<98>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 182167207812755629686046229168270893227835379964737052055815747768780391916854905259389815243129008035784843900450078564467304547383

Run 334 out of 904:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4055225039
Step 1 took 14680ms
Step 2 took 6957ms
********** Factor found in step 2: 9229490189668026616203266998176737
Found probable prime factor of 34 digits: 9229490189668026616203266998176737
Probable prime cofactor 19737515731549627398346041144166461110062712518326895924348032317964415590287193972630324247892759 has 98 digits

354585323001884776628629511894083866932645350523269087652602074338492850583139742796679407422397312103865993638601297787473881576436829<135>

470636525232146442959347571682077326597<39>
753416498702436697593695957452689801144133736876627078063382917767291118360831661478156933806457<96>

Number: 27771_149
N=354585323001884776628629511894083866932645350523269087652602074338492850583139742796679407422397312103865993638601297787473881576436829
  ( 135 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=470636525232146442959347571682077326597 (pp39)
 r2=753416498702436697593695957452689801144133736876627078063382917767291118360831661478156933806457 (pp96)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 29.16 hours.
Scaled time: 29.54 units (timescale=1.013).
Factorization parameters were as follows:
name: 27771_149
n: 354585323001884776628629511894083866932645350523269087652602074338492850583139742796679407422397312103865993638601297787473881576436829
m: 1000000000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:175719, largePrimes:5507544 encountered
Relations: rels:5398019, finalFF:462635
Max relations in full relation-set: 28
Initial matrix: 352086 x 462635 with sparse part having weight 40929944.
Pruned matrix : 302640 x 304464 with weight 23597003.
Total sieving time: 28.49 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 29.16 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

172532650636111904860054938051259144514788546119627239692446419141078903561074468627544423576489365555172803898817679618101016804921<132>

1649194932995458194552098353071508753<37>
40462912832676719001557694003003432413533<41>
2585485814085485481752663875511265877142630193494391229<55>

Number: 27771_152
N=172532650636111904860054938051259144514788546119627239692446419141078903561074468627544423576489365555172803898817679618101016804921
  ( 132 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=1649194932995458194552098353071508753 (pp37)
 r2=40462912832676719001557694003003432413533 (pp41)
 r3=2585485814085485481752663875511265877142630193494391229 (pp55)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 30.42 hours.
Scaled time: 23.91 units (timescale=0.786).
Factorization parameters were as follows:
name: 27771_152
n: 172532650636111904860054938051259144514788546119627239692446419141078903561074468627544423576489365555172803898817679618101016804921
m: 5000000000000000000000000000000
c5: 4
c0: -305
skew: 2.38
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2300001)
Primes: RFBsize:176302, AFBsize:175969, largePrimes:5737118 encountered
Relations: rels:5759844, finalFF:564149
Max relations in full relation-set: 28
Initial matrix: 352335 x 564149 with sparse part having weight 53178188.
Pruned matrix : 277777 x 279602 with weight 28211723.
Total sieving time: 29.27 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.94 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 30.42 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<154>

109597476817915399648783767470638342286678753105441<51>
25345271245548484326118620469718080997667197757537826608184756610171014468393711341782508146039235365131<104>

Number: 27771_153
N=2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 154 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=109597476817915399648783767470638342286678753105441
 r2=25345271245548484326118620469718080997667197757537826608184756610171014468393711341782508146039235365131
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.716).
Factorization parameters were as follows:
n: 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
Y1: 1
Y0: -5000000000000000000000000000000
c5: 8
c0: -61
skew: 1.5
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1200000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 472490 x 472732
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,52,52,2.5,2.5,100000
total time: 11.50 hours.

Msieve 1.37

Opteron-2.6GHz; Linux x86_64

24158384001018243165313643924362406754822830761328446656124480605992670616305009456597905435143480920734912217227845152317<122>

5301064110976528276021825235523818767679<40>
4557270671561061255123982087138571971565022174347192982395270017827900110497448323<82>

Number: 27771_154
N=24158384001018243165313643924362406754822830761328446656124480605992670616305009456597905435143480920734912217227845152317
  ( 122 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=5301064110976528276021825235523818767679 (pp40)
 r2=4557270671561061255123982087138571971565022174347192982395270017827900110497448323 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 32.40 hours.
Scaled time: 32.60 units (timescale=1.006).
Factorization parameters were as follows:
name: 27771_154
n: 24158384001018243165313643924362406754822830761328446656124480605992670616305009456597905435143480920734912217227845152317
m: 10000000000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2800001)
Primes: RFBsize:216816, AFBsize:216067, largePrimes:6039660 encountered
Relations: rels:6273316, finalFF:769405
Max relations in full relation-set: 28
Initial matrix: 432948 x 769405 with sparse part having weight 68934654.
Pruned matrix : 305773 x 308001 with weight 39508435.
Total sieving time: 31.36 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 32.40 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

1236602598420845392465064144285320486196111595543875173246683943577905648456176531599471021910006680459702992441135973992261273<127>

251111527431617622010853018800610054904163<42>
4924515457609151256111451286897140203112085825934235152907008026879826815789247413971<85>

Number: 27771_157
N=1236602598420845392465064144285320486196111595543875173246683943577905648456176531599471021910006680459702992441135973992261273
  ( 127 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=251111527431617622010853018800610054904163 (pp42)
 r2=4924515457609151256111451286897140203112085825934235152907008026879826815789247413971 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 43.89 hours.
Scaled time: 44.02 units (timescale=1.003).
Factorization parameters were as follows:
name: 27771_157
n: 1236602598420845392465064144285320486196111595543875173246683943577905648456176531599471021910006680459702992441135973992261273
m: 50000000000000000000000000000000
c5: 4
c0: -305
skew: 2.38
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3700001)
Primes: RFBsize:283146, AFBsize:282638, largePrimes:6156179 encountered
Relations: rels:6587926, finalFF:1001963
Max relations in full relation-set: 28
Initial matrix: 565848 x 1001963 with sparse part having weight 66147813.
Pruned matrix : 326559 x 329452 with weight 53505394.
Total sieving time: 42.50 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.22 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 43.89 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

6801738906313097876321071530318925677145892816770339831482330442223968792790096629545748052182195909549545385477539183240234514249<130>

40938435274311943365251489605994903<35>
166145551502820974033100434453141488073658394935290823556214125540250731272635492119584942449183<96>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=232563863
Step 1 took 4581ms
Step 2 took 3756ms
********** Factor found in step 2: 40938435274311943365251489605994903
Found probable prime factor of 35 digits: 40938435274311943365251489605994903
Probable prime cofactor 166145551502820974033100434453141488073658394935290823556214125540250731272635492119584942449183 has 96 digits

GMP-ECM 6.2.1

1211810328045179737137835843378066173006313450989972138219571769921632974435429855162342174929531805158519800996508886585732210697013<133>

253653749852508153250333883090711675749451709540031375104589078333<66>
4777419331469809285428949137256054363568169465244600000364285743961<67>

Number: n
N=1211810328045179737137835843378066173006313450989972138219571769921632974435429855162342174929531805158519800996508886585732210697013
  ( 133 digits)
SNFS difficulty: 162 digits.
Divisors found:

Thu Sep  4 16:02:43 2008  prp66 factor: 253653749852508153250333883090711675749451709540031375104589078333
Thu Sep  4 16:02:43 2008  prp67 factor: 4777419331469809285428949137256054363568169465244600000364285743961
Thu Sep  4 16:02:43 2008  elapsed time 01:45:45 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 15.24 hours.
Scaled time: 12.77 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_2_7_160_1
n: 1211810328045179737137835843378066173006313450989972138219571769921632974435429855162342174929531805158519800996508886585732210697013
type: snfs
skew: 0.75
deg: 5
c5: 250
c0: -61
m: 100000000000000000000000000000000
rlim: 4400000
alim: 4400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 2100001)
Primes: RFBsize:309335, AFBsize:309449, largePrimes:12410612 encountered
Relations: rels:11542233, finalFF:649714
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 14.97 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4400000,4400000,28,28,52,52,2.5,2.5,100000
total time: 15.24 hours.
 --------- CPU info (if available) ----------

1450536926816670844973433674050011398591359995388009351598663646137374467946327419502249207<91>

518359647652198152916575830119<30>
2798321461530763710270557913472221025759214843794041462439153<61>

Mon Sep  1 10:49:29 2008  Msieve v. 1.37
Mon Sep  1 10:49:29 2008  random seeds: dc3a699f 068f696d
Mon Sep  1 10:49:29 2008  factoring 1450536926816670844973433674050011398591359995388009351598663646137374467946327419502249207 (91 digits)
Mon Sep  1 10:49:29 2008  no P-1/P+1/ECM available, skipping
Mon Sep  1 10:49:29 2008  commencing quadratic sieve (91-digit input)
Mon Sep  1 10:49:29 2008  using multiplier of 7
Mon Sep  1 10:49:30 2008  using 64kb Opteron sieve core
Mon Sep  1 10:49:30 2008  sieve interval: 18 blocks of size 65536
Mon Sep  1 10:49:30 2008  processing polynomials in batches of 6
Mon Sep  1 10:49:30 2008  using a sieve bound of 1648379 (62353 primes)
Mon Sep  1 10:49:30 2008  using large prime bound of 145057352 (27 bits)
Mon Sep  1 10:49:30 2008  using double large prime bound of 490649675444456 (42-49 bits)
Mon Sep  1 10:49:30 2008  using trial factoring cutoff of 49 bits
Mon Sep  1 10:49:30 2008  polynomial 'A' values have 12 factors
Mon Sep  1 12:30:08 2008  62716 relations (16467 full + 46249 combined from 697522 partial), need 62449
Mon Sep  1 12:30:08 2008  begin with 713989 relations
Mon Sep  1 12:30:09 2008  reduce to 154131 relations in 12 passes
Mon Sep  1 12:30:09 2008  attempting to read 154131 relations
Mon Sep  1 12:30:11 2008  recovered 154131 relations
Mon Sep  1 12:30:11 2008  recovered 134673 polynomials
Mon Sep  1 12:30:11 2008  attempting to build 62716 cycles
Mon Sep  1 12:30:11 2008  found 62716 cycles in 6 passes
Mon Sep  1 12:30:11 2008  distribution of cycle lengths:
Mon Sep  1 12:30:11 2008     length 1 : 16467
Mon Sep  1 12:30:11 2008     length 2 : 11946
Mon Sep  1 12:30:11 2008     length 3 : 11000
Mon Sep  1 12:30:11 2008     length 4 : 8364
Mon Sep  1 12:30:11 2008     length 5 : 5902
Mon Sep  1 12:30:11 2008     length 6 : 3907
Mon Sep  1 12:30:11 2008     length 7 : 2351
Mon Sep  1 12:30:11 2008     length 9+: 2779
Mon Sep  1 12:30:11 2008  largest cycle: 19 relations
Mon Sep  1 12:30:11 2008  matrix is 62353 x 62716 (16.4 MB) with weight 3807249 (60.71/col)
Mon Sep  1 12:30:11 2008  sparse part has weight 3807249 (60.71/col)
Mon Sep  1 12:30:12 2008  filtering completed in 3 passes
Mon Sep  1 12:30:12 2008  matrix is 58563 x 58627 (15.4 MB) with weight 3568812 (60.87/col)
Mon Sep  1 12:30:12 2008  sparse part has weight 3568812 (60.87/col)
Mon Sep  1 12:30:12 2008  saving the first 48 matrix rows for later
Mon Sep  1 12:30:12 2008  matrix is 58515 x 58627 (10.2 MB) with weight 2824552 (48.18/col)
Mon Sep  1 12:30:12 2008  sparse part has weight 2093163 (35.70/col)
Mon Sep  1 12:30:12 2008  matrix includes 64 packed rows
Mon Sep  1 12:30:12 2008  using block size 23450 for processor cache size 1024 kB
Mon Sep  1 12:30:13 2008  commencing Lanczos iteration
Mon Sep  1 12:30:13 2008  memory use: 9.0 MB
Mon Sep  1 12:30:39 2008  lanczos halted after 927 iterations (dim = 58513)
Mon Sep  1 12:30:40 2008  recovered 17 nontrivial dependencies
Mon Sep  1 12:30:40 2008  prp30 factor: 518359647652198152916575830119
Mon Sep  1 12:30:40 2008  prp61 factor: 2798321461530763710270557913472221025759214843794041462439153
Mon Sep  1 12:30:40 2008  elapsed time 01:41:11

Opteron-2.8GHz; Linux x86_64

2081185558379197404061940888574676124277720154769167766210744209875394379700563161625838976603572195846297556535733534620852297581830624068407<142>

343669074489795639277832878263307<33>
6055783638574069034440712866051481024164387943862544584024154281615135516630551624273818820529570512643159301<109>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=1462551368
Step 1 took 5520ms
Step 2 took 4013ms
********** Factor found in step 2: 343669074489795639277832878263307
Found probable prime factor of 33 digits: 343669074489795639277832878263307
Probable prime cofactor 6055783638574069034440712866051481024164387943862544584024154281615135516630551624273818820529570512643159301 has 109 digits

GMP-ECM 6.2.1

84200599508268498871711966589202115119059647704691657404600720757131790778350341854434003570105419150584352160587383382169681048129062678926273955070560102387929<161>

659829942255417221379291150281179<33>
248570702244139474826035756339690768851787296439<48>
513373237714119628900245111388942430675374787557277953916106237311225424401827709<81>

Number: 27771_164
N=84200599508268498871711966589202115119059647704691657404600720757131790778350341854434003570105419150584352160587383382169681048129062678926273955070560102387929
  ( 161 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=659829942255417221379291150281179
 r2=248570702244139474826035756339690768851787296439
 r3=513373237714119628900245111388942430675374787557277953916106237311225424401827709
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.725).
Factorization parameters were as follows:
n: 84200599508268498871711966589202115119059647704691657404600720757131790778350341854434003570105419150584352160587383382169681048129062678926273955070560102387929
Y1: 1
Y0: -1000000000000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfs
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 827994 x 828242
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.5,2.5,100000
total time: 31.00 hours.

# I knew about 3 factors, because of ECM results (but GNFS was still useless):

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3546418022
Step 1 took 19842ms
Step 2 took 14809ms
********** Factor found in step 2: 659829942255417221379291150281179
Found probable prime factor of 33 digits: 659829942255417221379291150281179
Composite cofactor 127609546211946264112980194582537324356226142070695470718473719517438302591875232733472700792167849318979451951203715019387228251 has 129 digits

Msieve 1.37

Opteron-2.6GHz; Linux x86_64

34418027471514668290845983930951905281810929262352274908359794248319699468930591666473141478536247585331790659027127957<119>

80362373512148298738695020240543<32>
1311733054597632858229417944775231493<37>
326503438371259342587167097723316440052457045232143<51>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=4222096588
Step 1 took 3912ms
********** Factor found in step 1: 80362373512148298738695020240543
Found probable prime factor of 32 digits: 80362373512148298738695020240543
Composite cofactor 428285352551361986373445292067672882719692682241289020565800346753478523267674749479499 has 87 digits

Tue Sep  2 09:21:10 2008  Msieve v. 1.37
Tue Sep  2 09:21:10 2008  random seeds: a88b20fd 0f1ad02c
Tue Sep  2 09:21:10 2008  factoring 428285352551361986373445292067672882719692682241289020565800346753478523267674749479499 (87 digits)
Tue Sep  2 09:21:11 2008  no P-1/P+1/ECM available, skipping
Tue Sep  2 09:21:11 2008  commencing quadratic sieve (87-digit input)
Tue Sep  2 09:21:11 2008  using multiplier of 3
Tue Sep  2 09:21:11 2008  using 64kb Opteron sieve core
Tue Sep  2 09:21:11 2008  sieve interval: 10 blocks of size 65536
Tue Sep  2 09:21:11 2008  processing polynomials in batches of 11
Tue Sep  2 09:21:11 2008  using a sieve bound of 1484177 (56667 primes)
Tue Sep  2 09:21:11 2008  using large prime bound of 118734160 (26 bits)
Tue Sep  2 09:21:11 2008  using double large prime bound of 342165490136480 (42-49 bits)
Tue Sep  2 09:21:11 2008  using trial factoring cutoff of 49 bits
Tue Sep  2 09:21:11 2008  polynomial 'A' values have 11 factors
Tue Sep  2 10:02:32 2008  56852 relations (15434 full + 41418 combined from 599869 partial), need 56763
Tue Sep  2 10:02:33 2008  begin with 615303 relations
Tue Sep  2 10:02:33 2008  reduce to 138044 relations in 11 passes
Tue Sep  2 10:02:33 2008  attempting to read 138044 relations
Tue Sep  2 10:02:34 2008  recovered 138044 relations
Tue Sep  2 10:02:34 2008  recovered 118769 polynomials
Tue Sep  2 10:02:34 2008  attempting to build 56852 cycles
Tue Sep  2 10:02:34 2008  found 56852 cycles in 5 passes
Tue Sep  2 10:02:34 2008  distribution of cycle lengths:
Tue Sep  2 10:02:34 2008     length 1 : 15434
Tue Sep  2 10:02:34 2008     length 2 : 11111
Tue Sep  2 10:02:34 2008     length 3 : 10050
Tue Sep  2 10:02:34 2008     length 4 : 7450
Tue Sep  2 10:02:34 2008     length 5 : 5195
Tue Sep  2 10:02:34 2008     length 6 : 3284
Tue Sep  2 10:02:34 2008     length 7 : 2019
Tue Sep  2 10:02:34 2008     length 9+: 2309
Tue Sep  2 10:02:34 2008  largest cycle: 17 relations
Tue Sep  2 10:02:34 2008  matrix is 56667 x 56852 (14.0 MB) with weight 3220880 (56.65/col)
Tue Sep  2 10:02:34 2008  sparse part has weight 3220880 (56.65/col)
Tue Sep  2 10:02:35 2008  filtering completed in 3 passes
Tue Sep  2 10:02:35 2008  matrix is 52655 x 52719 (13.1 MB) with weight 3016772 (57.22/col)
Tue Sep  2 10:02:35 2008  sparse part has weight 3016772 (57.22/col)
Tue Sep  2 10:02:35 2008  saving the first 48 matrix rows for later
Tue Sep  2 10:02:35 2008  matrix is 52607 x 52719 (8.5 MB) with weight 2347485 (44.53/col)
Tue Sep  2 10:02:35 2008  sparse part has weight 1706392 (32.37/col)
Tue Sep  2 10:02:35 2008  matrix includes 64 packed rows
Tue Sep  2 10:02:35 2008  using block size 21087 for processor cache size 1024 kB
Tue Sep  2 10:02:35 2008  commencing Lanczos iteration
Tue Sep  2 10:02:35 2008  memory use: 7.7 MB
Tue Sep  2 10:02:50 2008  lanczos halted after 834 iterations (dim = 52604)
Tue Sep  2 10:02:50 2008  recovered 15 nontrivial dependencies
Tue Sep  2 10:02:50 2008  prp37 factor: 1311733054597632858229417944775231493
Tue Sep  2 10:02:50 2008  prp51 factor: 326503438371259342587167097723316440052457045232143
Tue Sep  2 10:02:50 2008  elapsed time 00:41:40

GMP-ECM 6.2.1+Msieve 1.37/QS

Opteron-2.6GHz; Linux x86_64

17077462550874378271150629056169128122565987071157482103253108951984884573035699470470382216719112388277895264154420547419468349410224094522969853<146>

51349565953817840490156245892197350453929733234153814020952530482561583<71>
332572675808658297792850706653907384324838226345820816882845634793838252691<75>

Number: 27771_170
N=17077462550874378271150629056169128122565987071157482103253108951984884573035699470470382216719112388277895264154420547419468349410224094522969853
  ( 146 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=51349565953817840490156245892197350453929733234153814020952530482561583 (pp71)
 r2=332572675808658297792850706653907384324838226345820816882845634793838252691 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 170.65 hours.
Scaled time: 172.53 units (timescale=1.011).
Factorization parameters were as follows:
name: 27771_170
n: 17077462550874378271150629056169128122565987071157482103253108951984884573035699470470382216719112388277895264154420547419468349410224094522969853
m: 10000000000000000000000000000000000
c5: 25
c0: -61
skew: 1.2
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 7900001)
Primes: RFBsize:412849, AFBsize:412112, largePrimes:6360126 encountered
Relations: rels:6833798, finalFF:1111408
Max relations in full relation-set: 28
Initial matrix: 825025 x 1111408 with sparse part having weight 72010060.
Pruned matrix : 587573 x 591762 with weight 55353352.
Total sieving time: 166.78 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.59 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 170.65 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

140693040843042149232431819099808745710133880796846730083341746919877322624230977216985684527160960476077508970181392027842574047562946081<138>

44512398379504795249333730316447728566719025499<47>
3160760731055610510155798731208531392799859145056964147663316803202246756868891237027738419<91>

# what a nice catch for B1=3e6! :-) Wow.
#
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3132305148
Step 1 took 18363ms
Step 2 took 16355ms
********** Factor found in step 2: 44512398379504795249333730316447728566719025499
Found probable prime factor of 47 digits: 44512398379504795249333730316447728566719025499
Probable prime cofactor 3160760731055610510155798731208531392799859145056964147663316803202246756868891237027738419 has 91 digits

GMP-ECM 6.2.1

Opteron-2.6GHz; Linux x86_64

2993798630634018102752511257355121413329191653523966592393572962544732016371065178595419712380085455069<103>

1419307810265852610333835137969799236391677581<46>
2109337107130584539479018932845314440549663990721314805649<58>

Msieve v. 1.36
Tue Sep  2 13:53:04 2008
random seeds: 331ffe7b d5a5e8c8
factoring 2993798630634018102752511257355121413329191653523966592393572962544732
016371065178595419712380085455069 (103 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (103-digit input)
using multiplier of 1
using 64kb Pentium 4 sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 3418799 (122500 primes)
using large prime bound of 512819850 (28 bits)
using double large prime bound of 4763615381480700 (44-53 bits)
using trial factoring cutoff of 53 bits
polynomial 'A' values have 13 factors

sieving in progress (press Ctrl-C to pause)
100039 relations (27689 full + 72350 combined from 1685255 partial), need 122596
100275 relations (27714 full + 72561 combined from 1686837 partial), need 122596
100506 relations (27736 full + 72770 combined from 1688414 partial), need 122596
100749 relations (27755 full + 72994 combined from 1690053 partial), need 122596
101012 relations (27781 full + 73231 combined from 1691734 partial), need 122596
101272 relations (27809 full + 73463 combined from 1693393 partial), need 122596
101524 relations (27834 full + 73690 combined from 1695033 partial), need 122596
101785 relations (27857 full + 73928 combined from 1696615 partial), need 122596
102024 relations (27882 full + 74142 combined from 1698192 partial), need 122596
102312 relations (27902 full + 74410 combined from 1699740 partial), need 122596
102557 relations (27936 full + 74621 combined from 1701299 partial), need 122596
102792 relations (27961 full + 74831 combined from 1702802 partial), need 122596
103045 relations (27997 full + 75048 combined from 1704372 partial), need 122596
103324 relations (28032 full + 75292 combined from 1706045 partial), need 122596
103582 relations (28060 full + 75522 combined from 1707634 partial), need 122596
103834 relations (28093 full + 75741 combined from 1709201 partial), need 122596
104069 relations (28118 full + 75951 combined from 1710735 partial), need 122596
104304 relations (28156 full + 76148 combined from 1712299 partial), need 122596
104536 relations (28183 full + 76353 combined from 1713828 partial), need 122596
104784 relations (28212 full + 76572 combined from 1715370 partial), need 122596
105055 relations (28236 full + 76819 combined from 1716949 partial), need 122596
105312 relations (28269 full + 77043 combined from 1718490 partial), need 122596
105545 relations (28303 full + 77242 combined from 1720109 partial), need 122596
105798 relations (28327 full + 77471 combined from 1721726 partial), need 122596
106066 relations (28358 full + 77708 combined from 1723336 partial), need 122596
106315 relations (28382 full + 77933 combined from 1724913 partial), need 122596
106540 relations (28405 full + 78135 combined from 1726523 partial), need 122596
106795 relations (28430 full + 78365 combined from 1728052 partial), need 122596
107071 relations (28456 full + 78615 combined from 1729635 partial), need 122596
107349 relations (28486 full + 78863 combined from 1731297 partial), need 122596
107612 relations (28505 full + 79107 combined from 1732891 partial), need 122596
107878 relations (28531 full + 79347 combined from 1734576 partial), need 122596
108119 relations (28560 full + 79559 combined from 1736178 partial), need 122596
108348 relations (28582 full + 79766 combined from 1737692 partial), need 122596
108579 relations (28603 full + 79976 combined from 1739206 partial), need 122596
108835 relations (28630 full + 80205 combined from 1740789 partial), need 122596
109089 relations (28658 full + 80431 combined from 1742365 partial), need 122596
109343 relations (28687 full + 80656 combined from 1743914 partial), need 122596
109578 relations (28712 full + 80866 combined from 1745500 partial), need 122596
109836 relations (28739 full + 81097 combined from 1747133 partial), need 122596
110093 relations (28764 full + 81329 combined from 1748667 partial), need 122596
110348 relations (28789 full + 81559 combined from 1750171 partial), need 122596
110618 relations (28818 full + 81800 combined from 1751812 partial), need 122596
110880 relations (28833 full + 82047 combined from 1753432 partial), need 122596
111115 relations (28862 full + 82253 combined from 1754973 partial), need 122596
111382 relations (28887 full + 82495 combined from 1756580 partial), need 122596
111634 relations (28915 full + 82719 combined from 1758168 partial), need 122596
111902 relations (28944 full + 82958 combined from 1759681 partial), need 122596
112141 relations (28969 full + 83172 combined from 1761279 partial), need 122596
112406 relations (28996 full + 83410 combined from 1762883 partial), need 122596
112641 relations (29019 full + 83622 combined from 1764483 partial), need 122596
112900 relations (29044 full + 83856 combined from 1765994 partial), need 122596
113157 relations (29063 full + 84094 combined from 1767612 partial), need 122596
113431 relations (29094 full + 84337 combined from 1769187 partial), need 122596
113699 relations (29115 full + 84584 combined from 1770789 partial), need 122596
113976 relations (29152 full + 84824 combined from 1772445 partial), need 122596
114260 relations (29181 full + 85079 combined from 1774007 partial), need 122596
114504 relations (29203 full + 85301 combined from 1775586 partial), need 122596
114784 relations (29225 full + 85559 combined from 1777186 partial), need 122596
115057 relations (29259 full + 85798 combined from 1778770 partial), need 122596
115325 relations (29282 full + 86043 combined from 1780307 partial), need 122596
115605 relations (29305 full + 86300 combined from 1781882 partial), need 122596
115862 relations (29330 full + 86532 combined from 1783480 partial), need 122596
116094 relations (29347 full + 86747 combined from 1785041 partial), need 122596
116349 relations (29365 full + 86984 combined from 1786621 partial), need 122596
116608 relations (29392 full + 87216 combined from 1788221 partial), need 122596
116875 relations (29411 full + 87464 combined from 1789818 partial), need 122596
117163 relations (29438 full + 87725 combined from 1791426 partial), need 122596
117465 relations (29464 full + 88001 combined from 1793037 partial), need 122596
117754 relations (29493 full + 88261 combined from 1794667 partial), need 122596
118013 relations (29511 full + 88502 combined from 1796239 partial), need 122596
118293 relations (29539 full + 88754 combined from 1797859 partial), need 122596
118590 relations (29576 full + 89014 combined from 1799475 partial), need 122596
118867 relations (29595 full + 89272 combined from 1801040 partial), need 122596
119128 relations (29618 full + 89510 combined from 1802617 partial), need 122596
119375 relations (29645 full + 89730 combined from 1804194 partial), need 122596
119642 relations (29675 full + 89967 combined from 1805758 partial), need 122596
119923 relations (29704 full + 90219 combined from 1807401 partial), need 122596
120225 relations (29745 full + 90480 combined from 1809005 partial), need 122596
120505 relations (29768 full + 90737 combined from 1810656 partial), need 122596
120771 relations (29787 full + 90984 combined from 1812243 partial), need 122596
121035 relations (29810 full + 91225 combined from 1813821 partial), need 122596
121305 relations (29831 full + 91474 combined from 1815435 partial), need 122596
121600 relations (29860 full + 91740 combined from 1816956 partial), need 122596
121881 relations (29884 full + 91997 combined from 1818562 partial), need 122596
122151 relations (29908 full + 92243 combined from 1820182 partial), need 122596
122423 relations (29927 full + 92496 combined from 1821756 partial), need 122596
122710 relations (29950 full + 92760 combined from 1823402 partial), need 122596

122710 relations (29950 full + 92760 combined from 1823402 partial), need 122596

sieving complete, commencing postprocessing
begin with 1853352 relations
reduce to 320739 relations in 10 passes
attempting to read 320739 relations
recovered 320739 relations
recovered 310067 polynomials
attempting to build 122710 cycles
found 122709 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 29950
   length 2 : 21063
   length 3 : 20688
   length 4 : 16492
   length 5 : 12620
   length 6 : 8658
   length 7 : 5521
   length 9+: 7717
largest cycle: 19 relations
matrix is 122500 x 122709 (35.8 MB) with weight 8892811 (72.47/col)
sparse part has weight 8892811 (72.47/col)
filtering completed in 3 passes
matrix is 116994 x 117058 (34.4 MB) with weight 8538750 (72.94/col)
sparse part has weight 8538750 (72.94/col)
saving the first 48 matrix rows for later
matrix is 116946 x 117058 (24.7 MB) with weight 7163227 (61.19/col)
sparse part has weight 5785677 (49.43/col)
matrix includes 64 packed rows
using block size 21845 for processor cache size 512 kB
commencing Lanczos iteration
memory use: 21.9 MB
linear algebra completed 115406 out of 117058 dimensions (98.6%)
lanczos halted after 1850 iterations (dim = 116945)
recovered 16 nontrivial dependencies
prp46 factor: 1419307810265852610333835137969799236391677581
prp58 factor: 2109337107130584539479018932845314440549663990721314805649
elapsed time 34:58:42

362407875953992078870973210457563521793287716680851855268135599529779022325737810170065681415705662921348106771932711328587577814913912875930872703313939430576484431<165>

66522182025933914980141308358046139455527739<44>
5447925262173541576005437341883756530635970709270997946040684543445936204837528913808007878742336075875516134731712620029<121>

N=362407875953992078870973210457563521793287716680851855268135599529779022325737810170065681415705662921348106771932711328587577814913912875930872703313939430576484431
  ( 165 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=66522182025933914980141308358046139455527739 (pp44)
 r2=5447925262173541576005437341883756530635970709270997946040684543445936204837528913808007878742336075875516134731712620029 (pp121)
Version: Msieve v. 1.42
Total time: 144.27 hours.
Scaled time: 429.36 units (timescale=2.976).
Factorization parameters were as follows:
n: 362407875953992078870973210457563521793287716680851855268135599529779022325737810170065681415705662921348106771932711328587577814913912875930872703313939430576484431
m: 50000000000000000000000000000000000
deg: 5
c5: 80
c0: -61
skew: 0.95
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5


Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 7050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1169139 x 1169367
Total sieving time: 142.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.29 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 144.27 hours.

11452484364908758195074343082799435768817865283807308656031130204422545152770464456026948659621184271067513847601656145852860829890317<134>

325357900102713751078335624642068978594422001<45>
35199650481187855151220231434203930641589700515520621743884025357824851988375481446116317<89>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1023625928
Step 1 took 40720ms
Step 2 took 18399ms
********** Factor found in step 2: 325357900102713751078335624642068978594422001
Found probable prime factor of 45 digits: 325357900102713751078335624642068978594422001
Probable prime cofactor 35199650481187855151220231434203930641589700515520621743884025357824851988375481446116317 has 89 digits

GMP-ECM 6.2.3

19738606534113596565288605060859842456308204379753848765592185686611325413891982510383263138612965470192664510813296272081653385865781869221<140>

14344981459401114281441547188409204249146069939<47>
1375993868655558348978891915700067652067302194536892775483245969319727867058872581465851194439<94>

Msieve v. 1.50 (SVN exported)
Fri Sep 14 12:11:00 2012
random seeds: 0670333b 7e1769a0
factoring 19738606534113596565288605060859842456308204379753848765592185686611325413891982510383263138612965470192664510813296272081653385865781869221 (140 digits)
searching for 15-digit factors
commencing number field sieve (140-digit input)
R0: -100000000000000000000000000000000000
R1: 1
A0: -61
A1: 0
A2: 0
A3: 0
A4: 0
A5: 250
skew 0.75, size 1.607e-12, alpha 0.859, combined = 1.122e-10 rroots = 1

commencing square root phase
reading relations for dependency 1
read 352968 cycles
cycles contain 1060122 unique relations
read 1060122 relations
multiplying 1060122 relations
multiply complete, coefficients have about 32.46 million bits
initial square root is modulo 2099419481
sqrtTime: 77
prp47 factor: 14344981459401114281441547188409204249146069939
prp94 factor: 1375993868655558348978891915700067652067302194536892775483245969319727867058872581465851194439
elapsed time 00:01:18

20336435621711163004319017348426243298172111428968716683560440330360969186174025427330767182759040760653224708661581393558803649657453331<137>

71134251631905636534346663289671327<35>
285888094063953311988136712438838290992815309587898590647604791112176558836528871352247718253340599053<102>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1489180364
Step 1 took 60415ms
Step 2 took 11865ms
********** Factor found in step 2: 71134251631905636534346663289671327
Found probable prime factor of 35 digits: 71134251631905636534346663289671327
Probable prime cofactor 285888094063953311988136712438838290992815309587898590647604791112176558836528871352247718253340599053 has 102 digits

GMP-ECM 6.2.1

1148785327149475402072690803172588920198892530444697792074098502348584772877030303796373666589082913404668130179378423428541665585643933967<139>

3033609681640163118211947707190263880163644662540933727443<58>
378685937779697714288980705899283428904149075269378180789618703955829338929302869<81>

N=1148785327149475402072690803172588920198892530444697792074098502348584772877030303796373666589082913404668130179378423428541665585643933967
  ( 139 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=3033609681640163118211947707190263880163644662540933727443 (pp58)
 r2=378685937779697714288980705899283428904149075269378180789618703955829338929302869 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 144.42 hours.
Scaled time: 115.53 units (timescale=0.800).
Factorization parameters were as follows:
n: 1148785327149475402072690803172588920198892530444697792074098502348584772877030303796373666589082913404668130179378423428541665585643933967
m: 500000000000000000000000000000000000
deg: 5
c5: 8
c0: -61
skew: 1.50
# Murphy_E = 1.191e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 8200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1404896 x 1405127
Total sieving time: 137.70 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 2.88 hours.
Time per square root: 3.35 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 144.42 hours.
 --------- CPU info (if available) ----------

9683812359535301254694461975539262097437827193396900440368249003380257723117517064703466892327786474741693711177659940892638072156655378943646971477107937<154>

46205555207059443940132915017451119439632045524572814917095001<62>
209581127553592842313039179332680997588112827178274595514135243096222019311597164216419092937<93>

SNFS difficulty: 180 digits.
Divisors found:
 r1=46205555207059443940132915017451119439632045524572814917095001 (pp62)
 r2=209581127553592842313039179332680997588112827178274595514135243096222019311597164216419092937 (pp93)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 105.80 hours.
Scaled time: 203.44 units (timescale=1.923).
Factorization parameters were as follows:
n: 9683812359535301254694461975539262097437827193396900440368249003380257723117517064703466892327786474741693711177659940892638072156655378943646971477107937
m: 500000000000000000000000000000000000
deg: 5
c5: 80
c0: -61
skew: 0.95
# Murphy_E = 9.744e-11
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 9150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1566819 x 1567067
Total sieving time: 103.02 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.47 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 105.80 hours.
 --------- CPU info (if available) ----------

1268919133323414465955464464810661920386263446628195592473335890507595834324398833235822964262179907641298584286117804743491931591129880159938367362493539<154>

43952400331059530094446521726274677395012244991<47>
28870303413820983247599551062169424987701202250805189914283964624648114109735130174345717592163756000956829<107>

N=1268919133323414465955464464810661920386263446628195592473335890507595834324398833235822964262179907641298584286117804743491931591129880159938367362493539
  ( 154 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=43952400331059530094446521726274677395012244991 (pp47)
 r2=28870303413820983247599551062169424987701202250805189914283964624648114109735130174345717592163756000956829 (pp107)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 94.39 hours.
Scaled time: 181.41 units (timescale=1.922).
Factorization parameters were as follows:
n: 1268919133323414465955464464810661920386263446628195592473335890507595834324398833235822964262179907641298584286117804743491931591129880159938367362493539
m: 1000000000000000000000000000000000000
deg: 5
c5: 25
c0: -61
skew: 1.20
# Murphy_E = 1.118e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1250389 x 1250615
Total sieving time: 92.38 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.50 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 94.39 hours.
 --------- CPU info (if available) ----------

57510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337<179>

75510615435433520332094734482048406815014663397888447357329506169<65>
761627047329789607062080654255561176112224466344542541980790154090969468251343258094559369704529752173237377695073<114>

Number: 27771_181
N=57510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337
  ( 179 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=75510615435433520332094734482048406815014663397888447357329506169 (pp65)
 r2=761627047329789607062080654255561176112224466344542541980790154090969468251343258094559369704529752173237377695073 (pp114)
Version: Msieve-1.39
Total time: 164.24 hours.
Scaled time: 284.96 units (timescale=1.735).
Factorization parameters were as follows:
n: 57510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337014032666206579250057510927076144467448815274902231423970554405337
m: 1000000000000000000000000000000000000
deg: 5
c5: 250
c0: -61
skew: 0.75
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 6650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1525062 x 1525310
Total sieving time: 164.24 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,182,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 164.24 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

30773519564548160797830416671291408914885197315247054710183706096118783318575533029894295595074971984793006225165458779325237722214514755830997671368360130133<158>

8669632016123061916796275866681188298080002637458820578788528466567<67>
3549576211229971902588534703314750688553380340638757643423328560633508371570386185671820099<91>

N=30773519564548160797830416671291408914885197315247054710183706096118783318575533029894295595074971984793006225165458779325237722214514755830997671368360130133
  ( 158 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=8669632016123061916796275866681188298080002637458820578788528466567 (pp67)
 r2=3549576211229971902588534703314750688553380340638757643423328560633508371570386185671820099 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 142.62 hours.
Scaled time: 274.25 units (timescale=1.923).
Factorization parameters were as follows:
n: 30773519564548160797830416671291408914885197315247054710183706096118783318575533029894295595074971984793006225165458779325237722214514755830997671368360130133
m: 5000000000000000000000000000000000000
deg: 5
c5: 8
c0: -61
skew: 1.50
# Murphy_E = 7.475e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 11350001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1627916 x 1628146
Total sieving time: 139.65 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.54 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 142.62 hours.
 --------- CPU info (if available) ----------

34421038138510257469365276056725870852264904309513974941484235164532562302079030703566019551149662673826242599476800220294644086465647803937766763045573454495387580889439625499105053<182>

509575232245114400105218066214409542599718583695395748663216501642189269183<75>
67548491293142657192636214891586037775613013390913300305025073464846830376816916705229553974495985164761891<107>

Number: 27771_184
N=34421038138510257469365276056725870852264904309513974941484235164532562302079030703566019551149662673826242599476800220294644086465647803937766763045573454495387580889439625499105053
  ( 182 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=509575232245114400105218066214409542599718583695395748663216501642189269183 (pp75)
 r2=67548491293142657192636214891586037775613013390913300305025073464846830376816916705229553974495985164761891 (pp107)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 835.22 hours.
Scaled time: 1672.94 units (timescale=2.003).
Factorization parameters were as follows:
n: 34421038138510257469365276056725870852264904309513974941484235164532562302079030703566019551149662673826242599476800220294644086465647803937766763045573454495387580889439625499105053
m: 10000000000000000000000000000000000000
c5: 5
c0: -122
skew: 1.89
type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 15000001)
Primes: RFBsize:501962, AFBsize:500647, largePrimes:6989854 encountered
Relations: rels:7537555, finalFF:1185130
Max relations in full relation-set: 32
Initial matrix: 1002674 x 1185130 with sparse part having weight 117077372.
Pruned matrix : 861922 x 866999 with weight 96601519.
Total sieving time: 826.03 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 8.80 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 835.22 hours.
 --------- CPU info (if available) ----------

27809894898955270782781536255945287665458320084517387708928670168936155846203127601219220364296662497159926705893001062149944642346771985118998030300338925617557633147934331647<176>

5414636935281406913349458857105484780449526483<46>
15009116190485478016577138811493608631091125451562089<53>
342195966763892628879123527833453886016064164105727964142669362057924357193181<78>

Number: n
N=27809894898955270782781536255945287665458320084517387708928670168936155846203127601219220364296662497159926705893001062149944642346771985118998030300338925617557633147934331647
  ( 176 digits)
SNFS difficulty: 187 digits.
Divisors found:

Fri Feb 10 21:13:59 2012  prp46 factor: 5414636935281406913349458857105484780449526483
Fri Feb 10 21:13:59 2012  prp53 factor: 15009116190485478016577138811493608631091125451562089
Fri Feb 10 21:13:59 2012  prp78 factor: 342195966763892628879123527833453886016064164105727964142669362057924357193181
Fri Feb 10 21:13:59 2012  elapsed time 03:10:59 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_27771_186
n: 27809894898955270782781536255945287665458320084517387708928670168936155846203127601219220364296662497159926705893001062149944642346771985118998030300338925617557633147934331647
m: 10000000000000000000000000000000000000
#  c176, diff: 187.4
skew: 0.75
deg: 5
c5: 250
c0: -61
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7246181 hash collisions in 76720955 relations (71998930 unique)
Msieve: matrix is 1219637 x 1219876 (341.8 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,187,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

4038545957205107762979358476126149020366004208363319795722001030034244790199778666021922520992404086707660106178179109264388208188904149894884038480945377<154>

156036180637286656358135333912367766215147691292844319<54>
25882112345423881351610615434392599822326561460281122965970297545272282068953055151269841206206365183<101>

Number: 27771_187
N = 4038545957205107762979358476126149020366004208363319795722001030034244790199778666021922520992404086707660106178179109264388208188904149894884038480945377 (154 digits)
SNFS difficulty: 190 digits.
Divisors found:
r1=156036180637286656358135333912367766215147691292844319 (pp54)
r2=25882112345423881351610615434392599822326561460281122965970297545272282068953055151269841206206365183 (pp101)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 13.79 hours.
Factorization parameters were as follows:
n: 4038545957205107762979358476126149020366004208363319795722001030034244790199778666021922520992404086707660106178179109264388208188904149894884038480945377
m: 50000000000000000000000000000000000000
deg: 5
c5: 4
c0: -305
skew: 2.38
# Murphy_E = 4.619e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21995027
Relations: 3182704 relations
Pruned matrix : 1943055 x 1943283
Polynomial selection time: 0.00 hours.
Total sieving time: 12.36 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.16 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,190,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,200000
total time: 13.79 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 12, speed: 3.40GHz

9180500055301496233125153009099296696212343438643914405703211597075006018460421254001885549856558175225935135925988071790966946854426694461695522098361486016109919463842932866297059<181>

344559956490953332823434154872725361<36>

26644129366618772497187487830227859459964086829907275972770837997721242500674436465066351795983058463983452897365194039667812872161360447649763219<146>

 Factor=344559956490953332823434154872725361  Method=ECM  B1=11000000  Sigma=1737892046

26644129366618772497187487830227859459964086829907275972770837997721242500674436465066351795983058463983452897365194039667812872161360447649763219<146>

28172895250639690909327135764207491675262223241158622239<56>
945736287647390219553620749930045228824681773074517917625096785519367406134505825203895821<90>

Polynomial: X^5 - 244 ; m = 100000000000000000000000000000000000000
rlim = alim = 22000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.1
skew = 4.8
qIntSize = 100000

Initial matrix: 2780117 x 3191560
Pruned matrix: 2366277 x 2380241

time: 24 days 11 hours or so

p56 = 28172895250639690909327135764207491675262223241158622239
p90 = 945736287647390219553620749930045228824681773074517917625096785519367406134505825203895821

GGNFS-0.77.1

Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

12018048381692400421212717296275637610146695518590629238134898909984029084551522417939927731397994346344885523713952234598514496626646795174947<143>

2016363122734122769308758804969621922733<40>
5960259958234267822953007523507500830294029263387822644819553059732204123759026007056155922498545778959<103>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2931673241
Step 1 took 18370ms
Step 2 took 16498ms
********** Factor found in step 2: 2016363122734122769308758804969621922733
Found probable prime factor of 40 digits: 2016363122734122769308758804969621922733
Probable prime cofactor 5960259958234267822953007523507500830294029263387822644819553059732204123759026007056155922498545778959 has 103 digits

GMP-ECM 6.2.1

247963099745257270802375505975056582154939067955397108717598579378561964954640444325257948150547559699797086297962971975687<123>

2976504347692375718574208936493265731<37>
83306815908902703939279567118759249527571709871356299315811741626793814308282721962477<86>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2641304095
Step 1 took 5033ms
Step 2 took 2858ms
********** Factor found in step 2: 2976504347692375718574208936493265731
Found probable prime factor of 37 digits: 2976504347692375718574208936493265731
Probable prime cofactor 83306815908902703939279567118759249527571709871356299315811741626793814308282721962477 has 86 digits

GMP-ECM 6.2.1

5387562871505622395289608142855865421864361484426893792724951639083372273480832188402520604375436469206433412917154825320127047451288226531147288983287814483593<160>

496093373143380719981737319156524836583893154653244252197487651<63>
10859977502558799554831501293698993080104954165745623932818716497804653112611321607530774181324643<98>

p63 factor: 496093373143380719981737319156524836583893154653244252197487651
p98 factor: 10859977502558799554831501293698993080104954165745623932818716497804653112611321607530774181324643


Msieve v. 1.54 (SVN 1034)
random seeds: 89141d34 31d67a24
factoring 5387562871505622395289608142855865421864361484426893792724951639083372273480832188402520604375436469206433412917154825320127047451288226531147288983287814483593 (160 digits)
searching for 15-digit factors
commencing number field sieve (160-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -305
A1: 0
A2: 0
A3: 0
A4: 0
A5: 4
skew 1.00, size 1.483e-13, alpha 0.759, combined = 2.342e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 647627 hash collisions in 37735744 relations
added 728427 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38464171 unique relations
memory use: 159.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1256.1 MB
keeping 40531464 ideals with weight <= 200, target excess is 205186
commencing in-memory singleton removal
begin with 38464171 relations and 40531464 unique ideals
reduce to 15283519 relations and 13477521 ideals in 13 passes
max relations containing the same ideal: 110
removing 2063609 relations and 1663609 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13219910 relations and 13477521 unique ideals
reduce to 12989863 relations and 11575954 ideals in 9 passes
max relations containing the same ideal: 105
removing 1645487 relations and 1245487 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11344376 relations and 11575954 unique ideals
reduce to 11171516 relations and 10152154 ideals in 8 passes
max relations containing the same ideal: 98
removing 1544901 relations and 1144901 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9626615 relations and 10152154 unique ideals
reduce to 9444520 relations and 8818995 ideals in 8 passes
max relations containing the same ideal: 89
removing 1483224 relations and 1095715 ideals in 387509 cliques
commencing in-memory singleton removal
begin with 7961296 relations and 8818995 unique ideals
reduce to 7756482 relations and 7510750 ideals in 8 passes
max relations containing the same ideal: 77
relations with 0 large ideals: 4287
relations with 1 large ideals: 11962
relations with 2 large ideals: 98213
relations with 3 large ideals: 440022
relations with 4 large ideals: 1175398
relations with 5 large ideals: 1954697
relations with 6 large ideals: 2115070
relations with 7+ large ideals: 1956833
commencing 2-way merge
reduce to 4783983 relation sets and 4538251 unique ideals
commencing full merge
memory use: 521.6 MB
found 2211135 cycles, need 2182451
weight of 2182451 cycles is about 196864523 (90.20/cycle)
distribution of cycle lengths:
1 relations: 178948
2 relations: 180364
3 relations: 188210
4 relations: 186714
5 relations: 183104
6 relations: 171423
7 relations: 161667
8 relations: 147021
9 relations: 132544
10+ relations: 652456
heaviest cycle: 26 relations
commencing cycle optimization
start with 16174086 relations
pruned 556425 relations
memory use: 478.9 MB
distribution of cycle lengths:
1 relations: 178948
2 relations: 184695
3 relations: 195499
4 relations: 193124
5 relations: 190269
6 relations: 177472
7 relations: 166935
8 relations: 151245
9 relations: 135008
10+ relations: 609256
heaviest cycle: 26 relations
RelProcTime: 972
elapsed time 00:16:13


Msieve v. 1.54 (SVN 1034)
random seeds: 6951c4ae a49db171
factoring 5387562871505622395289608142855865421864361484426893792724951639083372273480832188402520604375436469206433412917154825320127047451288226531147288983287814483593 (160 digits)
searching for 15-digit factors
commencing number field sieve (160-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -305
A1: 0
A2: 0
A3: 0
A4: 0
A5: 4
skew 1.00, size 1.483e-13, alpha 0.759, combined = 2.342e-11 rroots = 1

commencing linear algebra
read 2182451 cycles
cycles contain 7530178 unique relations
read 7530178 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 922.3 MB
read 2182451 cycles
matrix is 2182272 x 2182451 (802.0 MB) with weight 235308767 (107.82/col)
sparse part has weight 186238829 (85.33/col)
filtering completed in 2 passes
matrix is 2181344 x 2181523 (801.9 MB) with weight 235272688 (107.85/col)
sparse part has weight 186224297 (85.36/col)
matrix starts at (0, 0)
matrix is 2181344 x 2181523 (801.9 MB) with weight 235272688 (107.85/col)
sparse part has weight 186224297 (85.36/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2181296 x 2181523 (764.0 MB) with weight 194017372 (88.94/col)
sparse part has weight 178465739 (81.81/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 723.8 MB
linear algebra at 0.1%, ETA 1h59m
checkpointing every 1040000 dimensions
lanczos halted after 34496 iterations (dim = 2181293)
recovered 36 nontrivial dependencies
BLanczosTime: 8015
elapsed time 02:13:36


Msieve v. 1.54 (SVN 1034)
random seeds: bda04424 944e0102
factoring 5387562871505622395289608142855865421864361484426893792724951639083372273480832188402520604375436469206433412917154825320127047451288226531147288983287814483593 (160 digits)
searching for 15-digit factors
commencing number field sieve (160-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -305
A1: 0
A2: 0
A3: 0
A4: 0
A5: 4
skew 1.00, size 1.483e-13, alpha 0.759, combined = 2.342e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1090735 cycles
cycles contain 3767996 unique relations
read 3767996 relations
multiplying 3767996 relations
multiply complete, coefficients have about 93.43 million bits
initial square root is modulo 5084851
GCD is 1, no factor found
reading relations for dependency 2
read 1090023 cycles
cycles contain 3762022 unique relations
read 3762022 relations
multiplying 3762022 relations
multiply complete, coefficients have about 93.28 million bits
initial square root is modulo 4964041
GCD is N, no factor found
reading relations for dependency 3
read 1090846 cycles
cycles contain 3764364 unique relations
read 3764364 relations
multiplying 3764364 relations
multiply complete, coefficients have about 93.34 million bits
initial square root is modulo 5012831
GCD is N, no factor found
reading relations for dependency 4
read 1090880 cycles
cycles contain 3763478 unique relations
read 3763478 relations
multiplying 3763478 relations
multiply complete, coefficients have about 93.32 million bits
initial square root is modulo 4994051
GCD is N, no factor found
reading relations for dependency 5
read 1090633 cycles
cycles contain 3763730 unique relations
read 3763730 relations
multiplying 3763730 relations
multiply complete, coefficients have about 93.33 million bits
initial square root is modulo 4999021
GCD is N, no factor found
reading relations for dependency 6
read 1090724 cycles
cycles contain 3763804 unique relations
read 3763804 relations
multiplying 3763804 relations
multiply complete, coefficients have about 93.33 million bits
initial square root is modulo 5002051
GCD is 1, no factor found
reading relations for dependency 7
read 1090050 cycles
cycles contain 3762830 unique relations
read 3762830 relations
multiplying 3762830 relations
multiply complete, coefficients have about 93.30 million bits
initial square root is modulo 4978451
sqrtTime: 1225
p63 factor: 496093373143380719981737319156524836583893154653244252197487651
p98 factor: 10859977502558799554831501293698993080104954165745623932818716497804653112611321607530774181324643
elapsed time 00:20:26

CADO-NFS/Msieve

122189082454211509754407203134752262606418736447529853867973477734494432479252752444387581184751624907132441550802269764979596199639643765821411759390271<153>

80485311297327121853982640517<29>

1518153815704622240936737904859078621016147552740776785285576396386699185397561525934124104891750356941221401004594467058163<124>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1712037598
Step 1 took 18241ms
Step 2 took 16894ms
********** Factor found in step 2: 80485311297327121853982640517
Found probable prime factor of 29 digits: 80485311297327121853982640517
Composite cofactor 1518153815704622240936737904859078621016147552740776785285576396386699185397561525934124104891750356941221401004594467058163 has 124 digits

GMP-ECM 6.2.1

1518153815704622240936737904859078621016147552740776785285576396386699185397561525934124104891750356941221401004594467058163<124>

128613570680091058920064785055072809139946797083167593<54>
11803993992833193782465781270323656372348977417985328398765195618890491<71>

Number: 27771_193
N=1518153815704622240936737904859078621016147552740776785285576396386699185397561525934124104891750356941221401004594467058163
  ( 124 digits)
Divisors found:
 r1=128613570680091058920064785055072809139946797083167593 (pp54)
 r2=11803993992833193782465781270323656372348977417985328398765195618890491 (pp71)
Version: Msieve-1.40
Total time: 58.22 hours.
Scaled time: 117.89 units (timescale=2.025).
Factorization parameters were as follows:
# Murphy_E = 1.861264e-10, selected by Jeff Gilchrist
n: 1518153815704622240936737904859078621016147552740776785285576396386699185397561525934124104891750356941221401004594467058163
Y0: -609424693195493084629365
Y1: 14285840635807
c0: 449801078557326487786247371904
c1: 56040688801503068267930764
c2: 249106677690281349198
c3: -2249875713199399
c4: -3915672212
c5: 18060
skew: 221678.63
type: gnfs
# selected mechanically
rlim: 6400000
alim: 6400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3200000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 884389 x 884637
Total sieving time: 54.32 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.21 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6400000,6400000,27,27,52,52,2.5,2.5,100000
total time: 58.22 hours.
 --------- CPU info (if available) ----------
[    0.138880] CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.231790] CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 3600+ stepping 01
[    0.004000] Memory: 986784k/1014720k available (2225k kernel code, 27548k reserved, 1080k data, 392k init)
[    0.084029] Calibrating delay using timer specific routine.. 4004.53 BogoMIPS (lpj=8009076)
[    0.152009] Calibrating delay using timer specific routine.. 4000.15 BogoMIPS (lpj=8000316)
[    0.231806] Total of 2 processors activated (8004.69 BogoMIPS).

GGNFS

Athlon 64X2 3600 1 GB RAM, Debian Linux

163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163<195>

119509737931441137246596335232308772579390887315656085068081433412471176766596851200060667993821<96>
1367241662802357158967844931268345670438128299143736962843556968202636908577271893194737300367939703<100>

Number: 15557_195
N=163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163
  ( 195 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=119509737931441137246596335232308772579390887315656085068081433412471176766596851200060667993821
 r2=1367241662802357158967844931268345670438128299143736962843556968202636908577271893194737300367939703
Version: 
Total time: 1129.81 hours.
Scaled time: 2875.38 units (timescale=2.545).
Factorization parameters were as follows:
n: 163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163
m: 1000000000000000000000000000000000000000
c5: 25
c0: -61
skew: 1.2
type: snfs
Y0: 1000000000000000000000000000000000000000
Y1: -1
rlambda: 2.6
alambda: 2.6
rlim: 20000000
alim: 20000000
qintsize: 1000000Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [10000000, 26000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1695139 x 1695356
Total sieving time: 1129.81 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,196,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,48,48,2.6,2.6,100000
total time: 1129.81 hours.
 --------- CPU info (if available) ----------

GGNFS + Msieve 1.38

C2Q Q6600 2.4 Ghz, 4 Gb RAM, windows vista

513911695328155767302130030458099454497704225628249674790952283656510333009850875507044696505969242638062431183636479780169281575022974132314122673446007181621653<162>

40364346656855192366420299812847579509343004727296983344121<59>
12731822459484220963285560129738834479492246021968866514515522217719997082702314137316765011124564570493<104>

513911695328155767302130030458099454497704225628249674790952283656510333009850875507044696505969242638062431183636479780169281575022974132314122673446007181621653=40364346656855192366420299812847579509343004727296983344121*12731822459484220963285560129738834479492246021968866514515522217719997082702314137316765011124564570493

cado polynomial
n: 513911695328155767302130030458099454497704225628249674790952283656510333009850875507044696505969242638062431183636479780169281575022974132314122673446007181621653
skew: 1.16
type: snfs
c0: -61
c6: 25
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 25*x^6-61
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14700000
tasks.lim1 = 14700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 12731822459484220963285560129738834479492246021968866514515522217719997082702314137316765011124564570493 40364346656855192366420299812847579509343004727296983344121
Info:Square Root: Total cpu/real time for sqrt: 2400.33/703.154
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31383712
Info:Lattice Sieving: Average J: 1894.64 for 5611765 special-q, max bucket fill -bkmult 1.0,1s:1.225040
Info:Lattice Sieving: Total time: 1.37932e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.61/3.70189
Info:Generate Free Relations: Total cpu/real time for freerel: 182.37/46.9674
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 135.52/163.884
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 162.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 616.44/598.105
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 478.8999999999999s
Info:Filtering - Merging: Merged matrix has 3005497 rows and total weight 512977616 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 857.78/236.642
Info:Filtering - Merging: Total cpu/real time for replay: 118.59/103.096
Info:Linear Algebra: Total cpu/real time for bwc: 163219/41769.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 104838.68, WCT time 26734.23, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (94208 iterations)
Info:Linear Algebra: Lingen CPU time 655.68, WCT time 166.41
Info:Linear Algebra: Mksol: CPU time 56585.17,  WCT time 14452.94, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47104 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 103.76/44.5401
Info:Square Root: Total cpu/real time for sqrt: 2400.33/703.154
Info:Filtering - Singleton removal: Total cpu/real time for purge: 495.82/486.132
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.54289e+06/88876
Info:root: Cleaning up computation data in /tmp/cado.ehgv4m57
12731822459484220963285560129738834479492246021968866514515522217719997082702314137316765011124564570493 40364346656855192366420299812847579509343004727296983344121

cado-nfs-3.0.0

4 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

678658238101575110612852174634589813478945224838445266673636798816284445345665880350107903666285157536566150102021139954934451894097864844037449<144>

21631834288992712007555427246085799<35>

31373124860100658739370173152893372981358932607827628090607273537011259875274623530665824683543468162744478351<110>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1435650970
Step 1 took 20513ms
Step 2 took 16641ms
********** Factor found in step 2: 21631834288992712007555427246085799
Found probable prime factor of 35 digits: 21631834288992712007555427246085799
Composite cofactor 31373124860100658739370173152893372981358932607827628090607273537011259875274623530665824683543468162744478351 has 110 digits

GMP-ECM 6.2.1

31373124860100658739370173152893372981358932607827628090607273537011259875274623530665824683543468162744478351<110>

8137130775905265500667125642011561<34>
3855551265441025333983640384610406523731030541038891638539125959121664278391<76>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2054967644
Step 1 took 37534ms
Step 2 took 21049ms
********** Factor found in step 2: 8137130775905265500667125642011561
Found probable prime factor of 34 digits: 8137130775905265500667125642011561
Probable prime cofactor 3855551265441025333983640384610406523731030541038891638539125959121664278391 has 76 digits

GMP-ECM 6.2.1

17452060167537220043833199220722803963224121543298213451506715374566113059857422581039917085553647686054215092300890439761334409096571559565531004112403827424131475798356427452047<179>

2123029431849520083370025081872906316520466909901590897129673989708817592997<76>
8220357148950829383638963294593126926885203322122284737267580040273679737822235876513934924236194863651<103>

Number: n
N=17452060167537220043833199220722803963224121543298213451506715374566113059857422581039917085553647686054215092300890439761334409096571559565531004112403827424131475798356427452047
  ( 179 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Sep 27 00:36:44 2012  prp76 factor: 2123029431849520083370025081872906316520466909901590897129673989708817592997
Thu Sep 27 00:36:44 2012  prp103 factor: 8220357148950829383638963294593126926885203322122284737267580040273679737822235876513934924236194863651
Thu Sep 27 00:36:44 2012  elapsed time 05:07:49 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_27771_200
n: 17452060167537220043833199220722803963224121543298213451506715374566113059857422581039917085553647686054215092300890439761334409096571559565531004112403827424131475798356427452047
m: 10000000000000000000000000000000000000000
#  c179, diff: 201.4
skew: 1.195
deg: 5
c5: 25
c0: -61
# Murphy_E = 1.681e-11
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26950000)
Primes: RFBsize:1025092, AFBsize:1024447,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10961957 hash collisions in 73523823 relations (65727201 unique)
Msieve: matrix is 1693544 x 1693771 (480.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

9431261582043973259002047451752317685490087396335049916667818026649098523683349093291355787308269679285883271157781482514263894613890590450264977<145>

8484086097696052854549061216517464333438459696322114897169668129<64>
1111641427661270004441284104674198649150814132732184065064316330593982466208441713<82>

9431261582043973259002047451752317685490087396335049916667818026649098523683349093291355787308269679285883271157781482514263894613890590450264977=8484086097696052854549061216517464333438459696322114897169668129*1111641427661270004441284104674198649150814132732184065064316330593982466208441713

n: 9431261582043973259002047451752317685490087396335049916667818026649098523683349093291355787308269679285883271157781482514263894613890590450264977
skew: 669205.087
c0: -930048233905829100872254363116900
c1: -41799808987349952871182298600
c2: -288048248778578345403069
c3: 181675641925583875
c4: 195433661886
c5: 118800
Y0: -13303651413599108664745821439
Y1: 1085029189354643637541
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.747e-07
# f(x) = 118800*x^5+195433661886*x^4+181675641925583875*x^3-288048248778578345403069*x^2-41799808987349952871182298600*x-930048233905829100872254363116900
# g(x) = 1085029189354643637541*x-13303651413599108664745821439

Info:Square Root: Factors: 1111641427661270004441284104674198649150814132732184065064316330593982466208441713 8484086097696052854549061216517464333438459696322114897169668129
Info:Square Root: Total cpu/real time for sqrt: 4583.94/1414.66
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78541/44.100/52.245/56.990/0.911
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64262/40.910/46.833/52.980/1.197
Info:Polynomial Selection (size optimized): Total time: 41866.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5875.83
Info:Polynomial Selection (root optimized): Rootsieve time: 5871.2
Info:Generate Factor Base: Total cpu/real time for makefb: 18.11/4.88015
Info:Generate Free Relations: Total cpu/real time for freerel: 468.89/118.316
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49189303
Info:Lattice Sieving: Average J: 3796.27 for 1187681 special-q, max bucket fill -bkmult 1.0,1s:1.080970
Info:Lattice Sieving: Total time: 1.67532e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.54/253.547
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 252.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 965.86/881.557
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 773.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 821.01/834.164
Info:Filtering - Merging: Total cpu/real time for merge: 503.79/146.235
Info:Filtering - Merging: Total cpu/real time for replay: 148.5/127.091
Info:Linear Algebra: Total cpu/real time for bwc: 224078/57349.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 36664.05, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (109568 iterations)
Info:Linear Algebra: Lingen CPU time 774.37, WCT time 222.86
Info:Linear Algebra: Mksol: WCT time 20001.66, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54784 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 141.89/57.7578
Info:Square Root: Total cpu/real time for sqrt: 4583.94/1414.66
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.10217e+06/910.997
1111641427661270004441284104674198649150814132732184065064316330593982466208441713 8484086097696052854549061216517464333438459696322114897169668129

cado-nfs-3.0.0

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

178649760494251582726904133040005514412610463087306750031607503380387699795131790456335235237012223776675635986244807834819496925678821594837559<144>

14650084403256770867793492899611862338323788582587021<53>
12194452644555211204478071363747344297957512556438962313872523580734686328405808105336864979<92>

Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78368/43.020/51.617/56.330/0.914
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78368/41.290/46.266/52.360/1.270
Info:Polynomial Selection (size optimized): Total time: 60225
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4503.42
Info:Polynomial Selection (root optimized): Rootsieve time: 4501.81
Info:Generate Factor Base: Total cpu/real time for makefb: 22.41/1.3377
Info:Generate Free Relations: Total cpu/real time for freerel: 492.86/12.7194
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47630309
Info:Lattice Sieving: Average J: 3802.24 for 936665 special-q, max bucket fill -bkmult 1.0,1s:1.222770
Info:Lattice Sieving: Total time: 1.24558e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 137.43/97.9332
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 97.39999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1515.16/532.283
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 460.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2241.4/422.951
Info:Filtering - Merging: Total cpu/real time for merge: 1189.76/71.3914
Info:Filtering - Merging: Total cpu/real time for replay: 170.97/141.622
Info:Linear Algebra: Total cpu/real time for bwc: 404510/18337.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11552.55, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (102000 iterations)
Info:Linear Algebra: Lingen CPU time 376.36, WCT time 363.19
Info:Linear Algebra: Mksol: WCT time 6170.37, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (51000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 140.96/23.1363
Info:Square Root: Total cpu/real time for sqrt: 10045.3/1355.06
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.6552e+06/779.895
14650084403256770867793492899611862338323788582587021 12194452644555211204478071363747344297957512556438962313872523580734686328405808105336864979

$ cat 27771_207.poly
n: 178649760494251582726904133040005514412610463087306750031607503380387699795131790456335235237012223776675635986244807834819496925678821594837559
skew: 379074.102
c0: 2859314939603178032851489238877945
c1: -15782567491106357185749019548
c2: 15528580274341760347219
c3: -75125158277794636
c4: -330316142100
c5: -474480
Y0: -3267786932997926285860738528
Y1: 48897615561746697617
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.036e-07
# f(x) = -474480*x^5-330316142100*x^4-75125158277794636*x^3+15528580274341760347219*x^2-15782567491106357185749019548*x+2859314939603178032851489238877945
# g(x) = 48897615561746697617*x-3267786932997926285860738528

CADO-NFS-3.0.0-dev

AMD Ryzen Threadripper 2990WX 32-Core Processor with 64GB RAM

1375213921589072458861683608404030386247450503687257839430622839216545856782087721887299942656026944392276981692012199372203272621727174432862460081739675012712073979220992832997255600786821<190>

96539385167814987081389944836641029033897<41>

14245107519573798035810937994619093050426545143192920607196598629156957518670041998667129850529971925833047190265082746793201684847925748086798215293<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=357789799
Step 1 took 32691ms
Step 2 took 11770ms
********** Factor found in step 2: 96539385167814987081389944836641029033897
Found probable prime factor of 41 digits: 96539385167814987081389944836641029033897

14245107519573798035810937994619093050426545143192920607196598629156957518670041998667129850529971925833047190265082746793201684847925748086798215293<149>

716796376493902162025851341423097009763249167<45>
19873297336199609238648492739386573166526670336142562314305768380151472452971983412867033494494937843379<104>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 14245107519573798035810937994619093050426545143192920607196598629156957518670041998667129850529971925833047190265082746793201684847925748086798215293 (149 digits)
Using B1=45580000, B2=240492732496, polynomial Dickson(12), sigma=1:1111055606
Step 1 took 93454ms
Step 2 took 33113ms
********** Factor found in step 2: 716796376493902162025851341423097009763249167
Found prime factor of 45 digits: 716796376493902162025851341423097009763249167
Prime cofactor 19873297336199609238648492739386573166526670336142562314305768380151472452971983412867033494494937843379 has 104 digits

2571508609455309623205661372741851514685187812853807108276192879203710363202905001069854786744301749008036848713425540111870948268145417768278974924958747914546578086180108365956252784500471<190>

38654928602419054645987669371783995383<38>
66524727956537544114603109945094913928627693845559494520806633234056735712970622062792300872689926063360048586578124993507615796990232330126834192251137<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=369651913
Step 1 took 30454ms
Step 2 took 10996ms
********** Factor found in step 2: 38654928602419054645987669371783995383
Found probable prime factor of 38 digits: 38654928602419054645987669371783995383

2482129011952065900663214166239375081470396604224099317043122565414809271066796629735619505774677560854974745168253451780221063000124528068878503357227627615082159<163>

43309054027284205341390324690651572813827850735314784374779314939942363375244285411463053283444620013528610814948637325685808732313848299784363736729824359284264184553158107716399762362887<188>

69233990796137831968147199739843997699826855762094106694368763615984118043904984084038131677568010643528702930737451536719350592286139136295769845188860171137039869563011<170>

45299096156535252275830405521739804824003562612049705692555098895063242776503165105056577842316029815679606617203110900418322007215295465588084182212793328073929436736844743408870876185157860760672040893<203>

4829899153450651559041746548398635972306771031<46>
9378890680185727796855844738758915812580068998403305595406947275438382083694361639998631473917520499059762858377831242287418284318851766713791251709316513803<157>

Number: n
N=45299096156535252275830405521739804824003562612049705692555098895063242776503165105056577842316029815679606617203110900418322007215295465588084182212793328073929436736844743408870876185157860760672040893
  ( 203 digits)
SNFS difficulty: 217 digits.
Divisors found:

Sun Sep 22 06:08:47 2019  p46 factor: 4829899153450651559041746548398635972306771031
Sun Sep 22 06:08:47 2019  p157 factor: 9378890680185727796855844738758915812580068998403305595406947275438382083694361639998631473917520499059762858377831242287418284318851766713791251709316513803
Sun Sep 22 06:08:47 2019  elapsed time 07:51:41 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.040).
Factorization parameters were as follows:
#
# N = 25x10^216-61 = 27(215)1
#
n: 45299096156535252275830405521739804824003562612049705692555098895063242776503165105056577842316029815679606617203110900418322007215295465588084182212793328073929436736844743408870876185157860760672040893
m: 1000000000000000000000000000000000000
deg: 6
c6: 25
c0: -61
skew: 1.16
# Murphy_E = 3.21e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 54500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9677750 hash collisions in 56970718 relations (49335443 unique)
Msieve: matrix is 4034497 x 4034722 (1407.9 MB)

Sieving start time: 2019/09/20 23:36:19
Sieving end time  : 2019/09/21 22:15:02

Total sieving time: 22hrs 38min 43secs.

Total relation processing time: 7hrs 2min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 31min 46sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284064K/16703460K available (12300K kernel code, 2481K rwdata, 4172K rodata, 2436K init, 2384K bss, 419396K reserved, 0K cma-reserved)
[    0.080573] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.87 BogoMIPS (lpj=11977744)
[    0.078218] smpboot: Total of 16 processors activated (95821.95 BogoMIPS)

46443116719324239451395756342079675183876267741680294205195923231771728696028517332384007131142630405408604169079217535103002802782762507352948082504333<152>

1391046483468567601050468138862532141592053302072898752151900636716970415808720576663282865518819469251975536869576669484026788276119707377466890877919570610595184226555398601808019484787<187>

1953788967063114940651281248994131773268796369000827850593<58>
711973763246064752313612279194631320003319506682437943504848751628954828359731807316403768433689622875607833795433314508768408659<129>

Number: 27771_220
N = 1391046483468567601050468138862532141592053302072898752151900636716970415808720576663282865518819469251975536869576669484026788276119707377466890877919570610595184226555398601808019484787 (187 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1953788967063114940651281248994131773268796369000827850593 (pp58)
r2=711973763246064752313612279194631320003319506682437943504848751628954828359731807316403768433689622875607833795433314508768408659 (pp129)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 47.33 hours.
Factorization parameters were as follows:
n: 1391046483468567601050468138862532141592053302072898752151900636716970415808720576663282865518819469251975536869576669484026788276119707377466890877919570610595184226555398601808019484787
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 25
c0: -61
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31261451
Relations: 8784590 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.70 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7555042 x 7555267
Matrix solve time: 28.86 hours.
time per square root: 0.50 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: 47.33 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFs, NFS_factory, Msieve

2177358675417934895422639462998367619617352049300623869841201717368066359085969378315117445740501001925368943562344576821669508922469700127121170563400300166837054044183342170986272901777319779128508206919687731<211>

3140586769382762880906227058395114267258183986382663815182142791808719811<73>
693296773916507136923292570780067171898121033082161388517110706419743705420214573710862242525586533835010553027873305470360589924556864721<138>

Number: n
N=2177358675417934895422639462998367619617352049300623869841201717368066359085969378315117445740501001925368943562344576821669508922469700127121170563400300166837054044183342170986272901777319779128508206919687731  ( 211 digits)
SNFS difficulty: 223 digits.
Divisors found:

Thu Apr 16 18:29:16 2020  p73 factor: 3140586769382762880906227058395114267258183986382663815182142791808719811
Thu Apr 16 18:29:16 2020  p138 factor: 693296773916507136923292570780067171898121033082161388517110706419743705420214573710862242525586533835010553027873305470360589924556864721
Thu Apr 16 18:29:16 2020  elapsed time 13:58:32 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.128).
Factorization parameters were as follows:
#
# N = 25x10^222-61 = 27(221)1
#
n: 2177358675417934895422639462998367619617352049300623869841201717368066359085969378315117445740501001925368943562344576821669508922469700127121170563400300166837054044183342170986272901777319779128508206919687731
m: 10000000000000000000000000000000000000
deg: 6
c6: 25
c0: -61
skew: 1.16
# Murphy_E = 2.012e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 152100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9605331 hash collisions in 57692629 relations (50224246 unique)
Msieve: matrix is 5475451 x 5475676 (1905.1 MB)

Sieving start time: 2020/04/13 13:06:11
Sieving end time  : 2020/04/16 04:29:30

Total sieving time: 63hrs 23min 19secs.

Total relation processing time: 13hrs 27min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 5sec.
Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149784] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283232K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2712K bss, 420228K reserved, 0K cma-reserved)
[    0.184551] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5989.10 BogoMIPS (lpj=11978200)
[    0.182220] smpboot: Total of 16 processors activated (95825.60 BogoMIPS)

146043954638724322179483335160927381682329501087387789537178587706004709940904131601586179886276273533807636195582788430194620335402092684856347748788812210555121191625669061676529336220119925336955971153421446791914079<219>

4516929422256102982201304369962603<34>

32332573964766247251950630074623953172691754899295178753231021766822135501263198514221277467594591073235888738286224538876481284986801398548098776595889635798513373347960356467939664093<185>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3605982086
Step 1 took 37744ms
Step 2 took 11875ms
********** Factor found in step 2: 4516929422256102982201304369962603
Found probable prime factor of 34 digits: 4516929422256102982201304369962603

32332573964766247251950630074623953172691754899295178753231021766822135501263198514221277467594591073235888738286224538876481284986801398548098776595889635798513373347960356467939664093<185>

195346265564818520836589252919312943561<39>

165514164661816193875833436465497261027083338810365850505321186552748698436020782103948151546646144723559212841250860918573714836952087164004509813<147>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3779503544
Step 1 took 264639ms
********** Factor found in step 1: 195346265564818520836589252919312943561
Found probable prime factor of 39 digits: 195346265564818520836589252919312943561
Composite cofactor 165514164661816193875833436465497261027083338810365850505321186552748698436020782103948151546646144723559212841250860918573714836952087164004509813 has 147 digits

165514164661816193875833436465497261027083338810365850505321186552748698436020782103948151546646144723559212841250860918573714836952087164004509813<147>

547448786241376739924150848961974790499829122395242757402074636931111<69>
302337257514420741266186823291110987007728598682947390526500483724330554951683<78>

n: 165514164661816193875833436465497261027083338810365850505321186552748698436020782103948151546646144723559212841250860918573714836952087164004509813
skew: 1755173.26
c0: 17468272863629464412732318366469500
c1: 28816586873861499616011490244
c2: 132786482668541857075953
c3: 31151225925907711
c4: -96738924473
c5: 840
Y0: -45594648308712135371956459083
Y1: 12279449706997751
rlim: 21400000
alim: 21400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

09/26/21 04:54:58 v1.34.5 @ XXXX, prp78 = 302337257514420741266186823291110987007728598682947390526500483724330554951683
09/26/21 04:54:58 v1.34.5 @ XXXX, prp69 = 547448786241376739924150848961974790499829122395242757402074636931111
09/26/21 04:54:58 v1.34.5 @ XXXX, NFS elapsed time = 290124.2657 seconds.

yafu v1.34.5

core i7 4790s 3.2GHz

17808014361522494050876642246180412423640124818509621634543501880490700548052326784471667912159191111549900584979025364524711576056996473229603786639188188186262997446401972615120443080493008466713580099700661524994296093<221>

8633945358025785019707334473506629773014104228166535911910403003261901493125949404324713422112085844382100073319533296112851989768439692362002374720652759068045892910249822158802424656975221092888254241477<205>

2445139926637045170996962307952605413103377856747175041659535573696826920929856290106456074520003648205634414729091387483494738735955903430758412628364396218909934857835837726452491125187682404243258573418663<208>

80199867886133961716861947310005958782491629093<47>
30488079233604249425820626469055138201920459887651100527802415501606400603327138001005421583160650501670847443090883437385298045145531418313269202393295046038491<161>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=924741585
Step 1 took 98400ms
Step 2 took 33577ms
********** Factor found in step 2: 80199867886133961716861947310005958782491629093
Found probable prime factor of 47 digits: 80199867886133961716861947310005958782491629093

10566343679860116135405847857510279259156701579239160630722988552689850837417284371759293384531526483255887016694194154827864762995345089130739922021865339780898520687509480815930557717404913683469120383964890837305113<218>

4846468716652791838355241765215785609924364642697597183149441354368074329528609791112206643345268057407247554391138561713086201126168589064321028118651455480476716123439743464566833459223237050807293092962721198421902727771<223>

17279023945866591364029870030319622537861172485798994845310257917591726076983677099010505370488092073283575690020350331026453660390862361832221088257078834849107049901090868439936755580720148553553712085215014327<212>

728532723387811665758486141988521806562616632574064920125745732809600855621724392869609272537891864468748584309370470949636615035862845556101063225725673078300636737899813623651857328706714110882227869474028275807911109<219>

1322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751<235>

26652650614963713338637393616055537096643812123838342932868793948113312702068856959000917600141726276401358614637<113>
49629259838369874322842581997404831258085804484906314797325286628980122800924811784359721405911530950190290718487424535323<122>

N=1322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751
  ( 235 digits)
SNFS difficulty: 236 digits.
Divisors found:
 r1=26652650614963713338637393616055537096643812123838342932868793948113312702068856959000917600141726276401358614637 (pp113)
 r2=49629259838369874322842581997404831258085804484906314797325286628980122800924811784359721405911530950190290718487424535323 (pp122)
Version: Msieve v. 1.53 (SVN Unversioned directory)
Total time:
Scaled time: 93.93 units (timescale=1.894).
Factorization parameters were as follows:
n: 1322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751322751
m: 1000000000000000000000000000000000000000
deg: 6
c6: 250
c0: -61
skew: 0.79
# Murphy_E = 7.947e-13
type: snfs
lss: 1
rlim: 61000000
alim: 61000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
#qintsize: 800000
Factor base limits: 61000000/61000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [30500000, 64400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7987566 x 7987792
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,236.000,6,0,0,0,0,0,0,0,0,61000000,61000000,30,30,60,60,2.7,2.7,100000
total time:

2067681137032876890158408715839063520812885052420675123150034004298260810620842326929545377219819150798675790503218778662221767563952362336988599070046513802222757718553815544810743007545085086249096426444638338348316110628791403<229>

271849616054718625655249978037452594826558764143509682869561967333739688981257130869588920677209838242591468414902061026632451113963914913706346866020499005523456407807647946653252373217757729044747<198>

274235423210869950531290937790937377<36>
991300149600597775974807670757893270891008451713000118080507080130582909855013154024999054615739600841808704181989244699829424148174564863146149580788420290416811<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=328408207
Step 1 took 37759ms
Step 2 took 12773ms
********** Factor found in step 2: 274235423210869950531290937790937377
Found probable prime factor of 36 digits: 274235423210869950531290937790937377

830022697878271666440471919787007642391331130526101988476352996786025878036103318674245687437821624564963687888953967824651939520010651579370712152881502429861197113245689268649216843090753339099272509<201>

56773751057571394927762010132568247118603005738105996347032022497984695656622466033402339880681823101978921241682715110861443686407195823268946596402453071403280896558644844919354183<182>

2094798041884872468359916674380033560987175480655538928985130383356277824288901300646051463133135126205517457544426999796729571029691389516251177249193846822357905648099487728317537325152296022533139703954271681088168922925134627001<232>

142674576710748512959531512869457685241<39>
14682349793346602873290710688674491910144474678401696515810983655136620817390092646589666016375789923416137917615736004046997765543142105422457223129626914383192216163790004781905964214142055361<194>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3679054576
Step 1 took 147624ms
Step 2 took 44540ms
********** Factor found in step 2: 142674576710748512959531512869457685241
Found probable prime factor of 39 digits: 142674576710748512959531512869457685241

23760382656887944424897675586919265470938496571203110970833254303413897770369848236782662840731988259701375796778241284945769005157354705328299731800867756035457601342268589403275031716376478770663<197>

355659960331536714503178390111081101<36>
66806459278517464850717572677891394584364118338510037122125713087660368151907514468430812617449144797341267181132929985267154290548809718484710494832902222231363<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2626778076
Step 1 took 37368ms
Step 2 took 12613ms
********** Factor found in step 2: 355659960331536714503178390111081101
Found probable prime factor of 36 digits: 355659960331536714503178390111081101

5634437683119224701374802794681090827135451881902186161821050259184133423484336263240928555330178048230786567500563443768311922470137480279468109082713545188190218616182105025918413342348433626324092855533017804823078656750056344376831192247<241>

250695744070452431069193919814308690986951173<45>
22475202776221809441714654500019436502157298167656465589482466715397341122137965274527343736509113468015152266381648421260974411235571430349032849284436145087024987101205917428851739135116528870539<197>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3799521970
Step 1 took 31016ms
Step 2 took 9841ms
********** Factor found in step 2: 250695744070452431069193919814308690986951173
Found probable prime factor of 45 digits: 250695744070452431069193919814308690986951173

21363544390693438041316670216575014346315006468020025981420752642278924269621473430555515003329570911767898649916859552207862198504427975004644806099364070100178414772173339246864714982055485473265399475108499815914417267157<224>

470512028267255915941261084864702806369636557782332800673843641416459063436252055676659787044209708249450219023872044372801149496461048214078869697777631540750817284721467721833669729790107226073<195>

1530194572272345283794643508299546029750864288486590325049022021881798096402711067147022633620067903446579821611513354323137766271325491961573578389888300373970552863455572993944147245215327909410363437506921757<211>

67281996249496000253046689458569970643<38>

22743001955501695611850622070364501049440767305657711848356831620997565661171600239325103382195956567511267496637426872398602578035872421310133844319467218370932625955646799<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1502153175
Step 1 took 28836ms
Step 2 took 10120ms
********** Factor found in step 2: 67281996249496000253046689458569970643
Found probable prime factor of 38 digits: 67281996249496000253046689458569970643

5223136259395323506866600100646588094995313491344577018920139063679140618924326424672337376776749434345644559604895528068253608175914903390706749434870670510937763789140404554133278332175443430687450825227854381336547429<220>

5146530892122154846045712485855261270587275171593319632281781032250314084512826074593983453417869380405899433496827539575601878274982796454598424279132721720723367181325260227129750472723089970729<196>

586614214811978001449826046263894396182966886739127428140011279722012229382984113545203168124642493295974084124099156812426130955152023460680800283744908342446879478982593692527919758045038305124477459428740479297727<216>