18872609506443360331949072625824394175999049219789808838348481048176363964104961<80>

133878894470440665305883428582177<33>
140967772262343217162849205986846194637148762593<48>

10/28/09 01:14:46 v1.10 @ 조영욱-PC, starting SIQS on c80: 18872609506443360331949072625824394175999049219789808838348481048176363964104961
10/28/09 01:14:46 v1.10 @ 조영욱-PC, random seeds: 2953276341, 473520796
10/28/09 01:14:47 v1.10 @ 조영욱-PC, ==== sieve params ====
10/28/09 01:14:47 v1.10 @ 조영욱-PC, n = 80 digits, 264 bits
10/28/09 01:14:47 v1.10 @ 조영욱-PC, factor base: 41901 primes (max prime = 1074701)
10/28/09 01:14:47 v1.10 @ 조영욱-PC, single large prime cutoff: 91349585 (85 * pmax)
10/28/09 01:14:47 v1.10 @ 조영욱-PC, using 13 large prime slices of factor base
10/28/09 01:14:47 v1.10 @ 조영욱-PC, buckets hold 1024 elements
10/28/09 01:14:47 v1.10 @ 조영욱-PC, sieve interval: 5 blocks of size 65536
10/28/09 01:14:47 v1.10 @ 조영욱-PC, polynomial A has ~ 10 factors
10/28/09 01:14:47 v1.10 @ 조영욱-PC, using multiplier of 1
10/28/09 01:14:47 v1.10 @ 조영욱-PC, using small prime variation correction of 17 bits
10/28/09 01:14:47 v1.10 @ 조영욱-PC, using SSE2 for trial division and x64 sieve scanning
10/28/09 01:14:47 v1.10 @ 조영욱-PC, trial factoring cutoff at 95 bits
10/28/09 01:14:47 v1.10 @ 조영욱-PC, ==== sieving started ====
10/28/09 01:21:38 v1.10 @ 조영욱-PC, sieve time = 193.1750, relation time = 50.4470, poly_time = 167.9450
10/28/09 01:21:38 v1.10 @ 조영욱-PC, 42077 relations found: 21186 full + 20891 from 219340 partial, using 140092 polys (274 A polys)
10/28/09 01:21:38 v1.10 @ 조영욱-PC, on average, sieving found 1.72 rels/poly and 583.88 rels/sec
10/28/09 01:21:38 v1.10 @ 조영욱-PC, trial division touched 2486400 sieve locations out of 91810693120
10/28/09 01:21:38 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
10/28/09 01:21:38 v1.10 @ 조영욱-PC, begin with 240526 relations
10/28/09 01:21:38 v1.10 @ 조영욱-PC, reduce to 60274 relations in 2 passes
10/28/09 01:21:39 v1.10 @ 조영욱-PC, recovered 60274 relations
10/28/09 01:21:39 v1.10 @ 조영욱-PC, recovered 49064 polynomials
10/28/09 01:21:39 v1.10 @ 조영욱-PC, attempting to build 42077 cycles
10/28/09 01:21:39 v1.10 @ 조영욱-PC, found 42077 cycles in 1 passes
10/28/09 01:21:39 v1.10 @ 조영욱-PC, distribution of cycle lengths:
10/28/09 01:21:39 v1.10 @ 조영욱-PC,    length 1 : 21186
10/28/09 01:21:39 v1.10 @ 조영욱-PC,    length 2 : 20891
10/28/09 01:21:39 v1.10 @ 조영욱-PC, largest cycle: 2 relations
10/28/09 01:21:39 v1.10 @ 조영욱-PC, matrix is 41901 x 42077 (6.1 MB) with weight 1266037 (30.09/col)
10/28/09 01:21:39 v1.10 @ 조영욱-PC, sparse part has weight 1266037 (30.09/col)
10/28/09 01:21:39 v1.10 @ 조영욱-PC, filtering completed in 4 passes
10/28/09 01:21:39 v1.10 @ 조영욱-PC, matrix is 30689 x 30753 (4.9 MB) with weight 1028952 (33.46/col)
10/28/09 01:21:39 v1.10 @ 조영욱-PC, sparse part has weight 1028952 (33.46/col)
10/28/09 01:21:39 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
10/28/09 01:21:39 v1.10 @ 조영욱-PC, matrix is 30641 x 30753 (3.6 MB) with weight 811519 (26.39/col)
10/28/09 01:21:39 v1.10 @ 조영욱-PC, sparse part has weight 632898 (20.58/col)
10/28/09 01:21:39 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
10/28/09 01:21:39 v1.10 @ 조영욱-PC, using block size 12301 for processor cache size 4096 kB
10/28/09 01:21:39 v1.10 @ 조영욱-PC, commencing Lanczos iteration
10/28/09 01:21:39 v1.10 @ 조영욱-PC, memory use: 3.5 MB
10/28/09 01:21:42 v1.10 @ 조영욱-PC, lanczos halted after 486 iterations (dim = 30639)
10/28/09 01:21:42 v1.10 @ 조영욱-PC, recovered 15 nontrivial dependencies
10/28/09 01:21:42 v1.10 @ 조영욱-PC, prp48 = 140967772262343217162849205986846194637148762593
10/28/09 01:21:43 v1.10 @ 조영욱-PC, prp33 = 133878894470440665305883428582177
10/28/09 01:21:43 v1.10 @ 조영욱-PC, Lanczos elapsed time = 3.7600 seconds.
10/28/09 01:21:43 v1.10 @ 조영욱-PC, Sqrt elapsed time = 0.7330 seconds.
10/28/09 01:21:43 v1.10 @ 조영욱-PC, SIQS elapsed time = 416.4350 seconds.
10/28/09 01:21:43 v1.10 @ 조영욱-PC, 
10/28/09 01:21:43 v1.10 @ 조영욱-PC, 

YAFU v1.10

Core 2 Quad Q6600

73333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<110>

366976113897403798134036390219247147<36>
199831352930603192222342071083610479760495108319628605228753948824443242873<75>

SNFS difficulty: 111 digits.
Divisors found:
 r1=366976113897403798134036390219247147 (pp36)
 r2=199831352930603192222342071083610479760495108319628605228753948824443242873 (pp75)
Version: Msieve v. 1.44 SVN130
Total time: 0.46 hours.
Scaled time: 1.12 units (timescale=2.400).
Factorization parameters were as follows:
n: 73333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 10000000000000000000000
deg: 5
c5: 11
c0: -35
skew: 1.26
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 400001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 37502 x 37737
Total sieving time: 0.44 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.46 hours.

27362623708437501481435967480647416522582967037243405954798475215929239453117920160504986430683801273<101>

73599418399459784738905045672909<32>
371777716502150259894247513418601899164271481551734543209609930979997<69>

Number: 73331_117
N=27362623708437501481435967480647416522582967037243405954798475215929239453117920160504986430683801273
  ( 101 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=73599418399459784738905045672909 (pp32)
 r2=371777716502150259894247513418601899164271481551734543209609930979997 (pp69)
Version: Msieve-1.40
Total time: 1.12 hours.
Scaled time: 1.10 units (timescale=0.985).
Factorization parameters were as follows:
n: 27362623708437501481435967480647416522582967037243405954798475215929239453117920160504986430683801273
m: 200000000000000000000000
deg: 5
c5: 275
c0: -28
skew: 0.63
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 79136 x 79384
Total sieving time: 1.08 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,118.000,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 1.12 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

311364843831997533571509606151028341202251813761426819093514387347854877312960120194076028243865355747644925131<111>

677750033164238962514135169268793<33>
459409558976066599817050888415589308499006600496142633440871915604917908812067<78>

Number: 73331_118
N=311364843831997533571509606151028341202251813761426819093514387347854877312960120194076028243865355747644925131
  ( 111 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=677750033164238962514135169268793 (pp33)
 r2=459409558976066599817050888415589308499006600496142633440871915604917908812067 (pp78)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.39 hours.
Scaled time: 4.76 units (timescale=1.989).
Factorization parameters were as follows:
name: 73331_118
n: 311364843831997533571509606151028341202251813761426819093514387347854877312960120194076028243865355747644925131
m: 500000000000000000000000
deg: 5
c5: 176
c0: -175
skew: 1.00
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 610001)
Primes: RFBsize:58029, AFBsize:57998, largePrimes:1411373 encountered
Relations: rels:1434070, finalFF:193473
Max relations in full relation-set: 28
Initial matrix: 116094 x 193473 with sparse part having weight 9266838.
Pruned matrix : 90589 x 91233 with weight 3277602.
Total sieving time: 2.29 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 2.39 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

57250980574006896711440906216273061639096909115796536426296321791734696445274584207837732877585451<98>

12467268040968644200593760852105178561<38>
4592103128437975144998245779741025244221395688765409799392491<61>

Number: 73331_120
N=57250980574006896711440906216273061639096909115796536426296321791734696445274584207837732877585451
  ( 98 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=12467268040968644200593760852105178561 (pp38)
 r2=4592103128437975144998245779741025244221395688765409799392491 (pp61)
Version: GGNFS-0.77.1-20060513-k8
Total time: 1.72 hours.
Scaled time: 3.40 units (timescale=1.981).
Factorization parameters were as follows:
name: 73331_120
n: 57250980574006896711440906216273061639096909115796536426296321791734696445274584207837732877585451
m: 1000000000000000000000000
deg: 5
c5: 22
c0: -7
skew: 0.80
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 520001)
Primes: RFBsize:59531, AFBsize:59739, largePrimes:1304416 encountered
Relations: rels:1281725, finalFF:153417
Max relations in full relation-set: 28
Initial matrix: 119336 x 153417 with sparse part having weight 6853124.
Pruned matrix : 101139 x 101799 with weight 3462450.
Total sieving time: 1.62 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 1.72 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

479085822410821615351658824263053170082524325756116963166672692714955311750266379072262180668088864623762473371<111>

1563778519534554459376784440862037907<37>
306364243034504327427694743241261865971138614286892595581588786721014964953<75>

Number: 73331_122
N=479085822410821615351658824263053170082524325756116963166672692714955311750266379072262180668088864623762473371
  ( 111 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=1563778519534554459376784440862037907 (pp37)
 r2=306364243034504327427694743241261865971138614286892595581588786721014964953 (pp75)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.26 hours.
Scaled time: 6.24 units (timescale=1.914).
Factorization parameters were as follows:
name: 73331_122
n: 479085822410821615351658824263053170082524325756116963166672692714955311750266379072262180668088864623762473371
m: 2000000000000000000000000
deg: 5
c5: 275
c0: -28
skew: 0.63
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [405000, 755001)
Primes: RFBsize:64683, AFBsize:64458, largePrimes:1606389 encountered
Relations: rels:1722493, finalFF:278867
Max relations in full relation-set: 28
Initial matrix: 129208 x 278867 with sparse part having weight 14688172.
Pruned matrix : 91624 x 92334 with weight 4159609.
Total sieving time: 3.15 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,810000,810000,25,25,46,46,2.2,2.2,50000
total time: 3.26 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

970857415506687329866339720723420634641460878102315847533744808301356930781851202765023101706656570455623517486935933<117>

8115001058452151810981501720352816797<37>
119637373860289775776679722919530050967368885966201837192042266522620691868053089<81>

Number: n
N=970857415506687329866339720723420634641460878102315847533744808301356930781851202765023101706656570455623517486935933
  ( 117 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=8115001058452151810981501720352816797 (pp37)
 r2=119637373860289775776679722919530050967368885966201837192042266522620691868053089 (pp81)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.22 hours.
Scaled time: 2.22 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_7_3_123_1
n: 970857415506687329866339720723420634641460878102315847533744808301356930781851202765023101706656570455623517486935933
m: 10000000000000000000000000
deg: 5
c5: 11
c0: -35
skew: 1.26
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
qintsize: 10000
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 640001)
Primes: RFBsize:69823, AFBsize:69714, largePrimes:2298551 encountered
Relations: rels:2160546, finalFF:174436
Max relations in full relation-set: 48
Initial matrix: 139602 x 174436 with sparse part having weight 12948806.
Pruned matrix : 125159 x 125921 with weight 6476055.
Total sieving time: 1.10 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 1.22 hours.
 --------- CPU info (if available) ----------

100945893780488072805794054903888609442778207215050028770210697409559135193502458841115087258636292484211<105>

5835514109274418429331289019347933750642074023<46>
17298543348572175255854507216815323864835034117825029046357<59>

Number: 73331_125
N=100945893780488072805794054903888609442778207215050028770210697409559135193502458841115087258636292484211
  ( 105 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=5835514109274418429331289019347933750642074023 (pp46)
 r2=17298543348572175255854507216815323864835034117825029046357 (pp59)
Version: Msieve v. 1.42
Total time: 0.06 hours.
Scaled time: 0.06 units (timescale=1.024).
Factorization parameters were as follows:
name: 73331_125
n: 100945893780488072805794054903888609442778207215050028770210697409559135193502458841115087258636292484211
m: 10000000000000000000000000
deg: 5
c5: 22
c0: -7
skew: 0.80
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102874 x 103106
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 0.06 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4787.88 BogoMIPS (lpj=2393941)
Calibrating delay using timer specific routine.. 4787.76 BogoMIPS (lpj=2393880)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393886)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393891)
Total of 4 processors activated (19151.19 BogoMIPS).

total time: 57 min

3473508763653508525973618996598802094452506079093510872225215128682143135403106733322106848803942284172130817527756107<118>

6577399073481143560931762320945836405658976407<46>
528097615006827450101667740710985593710548414937408630323507149175477101<72>

Number: n
N=3473508763653508525973618996598802094452506079093510872225215128682143135403106733322106848803942284172130817527756107
  ( 118 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=6577399073481143560931762320945836405658976407 (pp46)
 r2=528097615006827450101667740710985593710548414937408630323507149175477101 (pp72)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.95 hours.
Scaled time: 3.55 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_7_3_126_1
n: 3473508763653508525973618996598802094452506079093510872225215128682143135403106733322106848803942284172130817527756107
m: 20000000000000000000000000
deg: 5
c5: 275
c0: -28
skew: 0.63
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
qintsize: 10000
Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 835001)
Primes: RFBsize:77777, AFBsize:77453, largePrimes:2595907 encountered
Relations: rels:2454373, finalFF:189776
Max relations in full relation-set: 48
Initial matrix: 155297 x 189776 with sparse part having weight 16134020.
Pruned matrix : 143607 x 144447 with weight 8818753.
Total sieving time: 1.77 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.11 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,50000
total time: 1.95 hours.
 --------- CPU info (if available) ----------

163111641399291940164106253116807208918321091467924877033762537156128353415965974233879839517130409<99>

134460901537550527043746602103014314371<39>
1213078594105218010976731081776468633605124806837098291598179<61>

Number: 73331_130
N=163111641399291940164106253116807208918321091467924877033762537156128353415965974233879839517130409
  ( 99 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=134460901537550527043746602103014314371 (pp39)
 r2=1213078594105218010976731081776468633605124806837098291598179 (pp61)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.02 hours.
Scaled time: 7.72 units (timescale=1.919).
Factorization parameters were as follows:
name: 73331_130
n: 163111641399291940164106253116807208918321091467924877033762537156128353415965974233879839517130409
m: 100000000000000000000000000
deg: 5
c5: 22
c0: -7
skew: 0.80
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 890001)
Primes: RFBsize:84270, AFBsize:84284, largePrimes:3048064 encountered
Relations: rels:3176662, finalFF:414631
Max relations in full relation-set: 28
Initial matrix: 168620 x 414631 with sparse part having weight 33226394.
Pruned matrix : 113770 x 114677 with weight 7927149.
Total sieving time: 3.83 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 4.02 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

772504319748246697665149190240682725304722032243784064764023030120508817790677757304825249856253631163551058253<111>

6443188619669826476280091645257651931718381011<46>
119894723769212387435501631561188909687989725490025836640734845023<66>

Number: 73331_136
N=772504319748246697665149190240682725304722032243784064764023030120508817790677757304825249856253631163551058253
  ( 111 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=6443188619669826476280091645257651931718381011 (pp46)
 r2=119894723769212387435501631561188909687989725490025836640734845023 (pp66)
Version: GGNFS-0.77.1-20060513-k8
Total time: 6.27 hours.
Scaled time: 12.36 units (timescale=1.972).
Factorization parameters were as follows:
name: 73331_136
n: 772504319748246697665149190240682725304722032243784064764023030120508817790677757304825249856253631163551058253
m: 2000000000000000000000000000
deg: 5
c5: 55
c0: -56
skew: 1.00
type: snfs
lss: 1
rlim: 1410000
alim: 1410000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1410000/1410000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [705000, 1230001)
Primes: RFBsize:107805, AFBsize:107265, largePrimes:3428918 encountered
Relations: rels:3561302, finalFF:431806
Max relations in full relation-set: 28
Initial matrix: 215137 x 431806 with sparse part having weight 35153928.
Pruned matrix : 155036 x 156175 with weight 10589950.
Total sieving time: 5.94 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,75000
total time: 6.27 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<144>

3107752485792958896855128352023536341050509<43>
59206074072516662497430087693127541112104321<44>
3985554382642451971682452172996902377956999045276349984479<58>

Number: s144
N=733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 144 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=3107752485792958896855128352023536341050509 (pp43)
 r2=59206074072516662497430087693127541112104321 (pp44)
 r3=3985554382642451971682452172996902377956999045276349984479 (pp58)
Version: Msieve-1.40
Total time: 6.51 hours.
Scaled time: 12.04 units (timescale=1.850).
Factorization parameters were as follows:
n: 733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 50000000000000000000000000000
deg: 5
c5: 176
c0: -175
skew: 1.00
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1880000/1880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [940000, 2140001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 331290 x 331538
Total sieving time: 6.24 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1880000,1880000,26,26,49,49,2.3,2.3,100000
total time: 6.51 hours.
 --------- CPU info (if available) ----------

6168797223604576285866739275513559616412539375347282679742557779151130854164360406427707025619267418222104317849439238483<121>

1611222895107357825861684897891027348379434665936113039177013<61>
3828642978160722759423548127980286671936987166408740855033191<61>

Number: 73331_144
N=6168797223604576285866739275513559616412539375347282679742557779151130854164360406427707025619267418222104317849439238483
  ( 121 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1611222895107357825861684897891027348379434665936113039177013 (pp61)
 r2=3828642978160722759423548127980286671936987166408740855033191 (pp61)
Version: Msieve-1.40
Total time: 6.72 hours.
Scaled time: 6.67 units (timescale=0.992).
Factorization parameters were as follows:
n: 6168797223604576285866739275513559616412539375347282679742557779151130854164360406427707025619267418222104317849439238483
m: 100000000000000000000000000000
deg: 5
c5: 11
c0: -35
skew: 1.26
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 270431 x 270656
Total sieving time: 6.48 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 6.72 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

3083754238959747050060530712204481731076920353986016215023861867048446187911390233584704185799384231<100>

5357601451931949330338251285732117<34>
575584852032572576040227977297423130731945405191587010014254749643<66>

Number: g100
N=3083754238959747050060530712204481731076920353986016215023861867048446187911390233584704185799384231
  ( 100 digits)
Divisors found:
 r1=5357601451931949330338251285732117 (pp34)
 r2=575584852032572576040227977297423130731945405191587010014254749643 (pp66)
Version: Msieve-1.40
Total time: 3.29 hours.
Scaled time: 6.46 units (timescale=1.963).
Factorization parameters were as follows:
name: g100
n: 3083754238959747050060530712204481731076920353986016215023861867048446187911390233584704185799384231
skew: 2378.52
# norm 6.26e+013
c5: 716040
c4: 768401206
c3: -3347407358048
c2: -21666142625728748
c1: -5359048822522704315
c0: 22498539625274014910685
# alpha -6.46
Y1: 3195251251
Y0: -5331242520959992304
# Murphy_E 3.76e-009
# M 2889047347447943462753756483416340182973701438603636079111165743841444508017748937466511011496473051
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 228951 x 229176
Polynomial selection time: 0.38 hours.
Total sieving time: 2.65 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.29 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

7333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<151>

557437416104319050904396406476585854891860424980271017156626667<63>
13155437940608153459755208722920934403344534831120327715310189648982331381764859489159993<89>

Number: s151-1
N=7333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 151 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=557437416104319050904396406476585854891860424980271017156626667 (pp63)
 r2=13155437940608153459755208722920934403344534831120327715310189648982331381764859489159993 (pp89)
Version: Msieve-1.40
Total time: 10.22 hours.
Scaled time: 19.13 units (timescale=1.872).
Factorization parameters were as follows:
n: 7333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 1000000000000000000000000000000
deg: 5
c5: 22
c0: -7
skew: 0.80
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 352545 x 352780
Total sieving time: 9.85 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 10.22 hours.
 --------- CPU info (if available) ----------

7333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<154>

16102595691756429004184189289923007311587<41>
16804048553475014199523698985582044088874738998911019<53>
27101392731833721574475833973613757042141875062514354080413427<62>

Number: s154
N=7333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 154 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=16102595691756429004184189289923007311587 (pp41)
 r2=16804048553475014199523698985582044088874738998911019 (pp53)
 r3=27101392731833721574475833973613757042141875062514354080413427 (pp62)
Version: Msieve-1.40
Total time: 17.81 hours.
Scaled time: 34.95 units (timescale=1.963).
Factorization parameters were as follows:
n: 7333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 5000000000000000000000000000000
deg: 5
c5: 176
c0: -175
skew: 1.00
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 499206 x 499433
Total sieving time: 16.85 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 17.81 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

271562734920253252721963146431377932001653050860753475858443777890484893804596955592971171231575888296804819144102887980271374745659427<135>

65155738369339103941331630969006793233<38>
4167902040813106094398057851557338570627756214904008442532444406520855216370513619157114999436019<97>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 271562734920253252721963146431377932001653050860753475858443777890484893804596955592971171231575888296804819144102887980271374745659427 (135 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2666678006
Step 1 took 3359ms
Step 2 took 2155ms
********** Factor found in step 2: 65155738369339103941331630969006793233
Found probable prime factor of 38 digits: 65155738369339103941331630969006793233
Probable prime cofactor 4167902040813106094398057851557338570627756214904008442532444406520855216370513619157114999436019 has 97 digits

Core 2 Quad Q6700

30294324623534526405712572990055743626786655671673795518771416017500752060595516465247798902646655501922458622832011<116>

23693488595112602719126859782566256591<38>
1278592829499304611645554337323796642663523431026589589200118777890584774879621<79>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=236403890
Step 1 took 31182ms
Step 2 took 13038ms
********** Factor found in step 2: 23693488595112602719126859782566256591
Found probable prime factor of 38 digits: 23693488595112602719126859782566256591
Probable prime cofactor 1278592829499304611645554337323796642663523431026589589200118777890584774879621 has 79 digits

GMP-ECM 6.2.1

1265859753580831970140805253178104479059768213757511408464260680420987308767554609998630957690867230291891172698848841<118>

12009077923370648080337714781707462324113111259<47>
105408571886886114038898047458864072059719907211055171359755427498953899<72>

Number: 73331_158
N=1265859753580831970140805253178104479059768213757511408464260680420987308767554609998630957690867230291891172698848841
  ( 118 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=12009077923370648080337714781707462324113111259 (pp47)
 r2=105408571886886114038898047458864072059719907211055171359755427498953899 (pp72)
Version: Msieve v. 1.42
Total time: 1.74 hours.
Scaled time: 1.38 units (timescale=0.796).
Factorization parameters were as follows:
name: 73331_158
n: 1265859753580831970140805253178104479059768213757511408464260680420987308767554609998630957690867230291891172698848841
m: 50000000000000000000000000000000
deg: 5
c5: 176
c0: -175
skew: 1.00
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 641091 x 641316
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.32 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 1.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.19 BogoMIPS (lpj=1860598)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860574)
Total of 2 processors activated (7442.34 BogoMIPS).

Total time: 25 hours 57 min.

525047134913247893845015632085153098971384931147227989785446648051359156106059521252476074556693157681200925992219756091740053936660222906374549533424023293<156>

324485775047405152706505180736142372790996977<45>
1618089837178662448363775067491171510470582401491581751100635227165937052536156327577009094712259852356951106509<112>

N=525047134913247893845015632085153098971384931147227989785446648051359156106059521252476074556693157681200925992219756091740053936660222906374549533424023293
  ( 156 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=324485775047405152706505180736142372790996977 (pp45)
 r2=1618089837178662448363775067491171510470582401491581751100635227165937052536156327577009094712259852356951106509 (pp112)
Version: Msieve-1.40
Total time: 18.84 hours.
Scaled time: 35.27 units (timescale=1.872).
Factorization parameters were as follows:
n: 525047134913247893845015632085153098971384931147227989785446648051359156106059521252476074556693157681200925992219756091740053936660222906374549533424023293
m: 100000000000000000000000000000000
deg: 5
c5: 11
c0: -35
skew: 1.26
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 637822 x 638049
Total sieving time: 17.98 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 18.84 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

174717130523613286633890384198832402107308102364215903679379884811521302486601441601050476899580413554955564752082915883480253008099078501430427810563037<153>

62892293150312003950256891682691118047<38>
963980414783305788992504638378182452100686241977<48>
2881839886247664950088754545652096672709151792121416684401536364123<67>

N=174717130523613286633890384198832402107308102364215903679379884811521302486601441601050476899580413554955564752082915883480253008099078501430427810563037
  ( 153 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=62892293150312003950256891682691118047 (pp38)
 r2=963980414783305788992504638378182452100686241977 (pp48)
 r3=2881839886247664950088754545652096672709151792121416684401536364123 (pp67)
Version: Msieve-1.40
Total time: 19.92 hours.
Scaled time: 36.76 units (timescale=1.845).
Factorization parameters were as follows:
n: 174717130523613286633890384198832402107308102364215903679379884811521302486601441601050476899580413554955564752082915883480253008099078501430427810563037
m: 100000000000000000000000000000000
deg: 5
c5: 22
c0: -7
skew: 0.80
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 683391 x 683639
Total sieving time: 19.13 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 19.92 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1598116110685453051884152389093381063570392044919000755814313712121566721546816342185364254479151650919152978297<112>

97195054545007868780229153979999042837726017679<47>
16442360346075195163255521245258464415073491367475255299473133943<65>

Number: 73331_161
N=1598116110685453051884152389093381063570392044919000755814313712121566721546816342185364254479151650919152978297
  ( 112 digits)
Divisors found:
 r1=97195054545007868780229153979999042837726017679 (pp47)
 r2=16442360346075195163255521245258464415073491367475255299473133943 (pp65)
Version: Msieve v. 1.43
Total time: 22.37 hours.
Scaled time: 21.93 units (timescale=0.980).
Factorization parameters were as follows:
name: 73331_161
n: 1598116110685453051884152389093381063570392044919000755814313712121566721546816342185364254479151650919152978297
skew: 18801.73
# norm 1.08e+016
c5: 41040
c4: -11257294188
c3: -442650124089326
c2: 2964052129907482063
c1: -8608213059353517719384
c0: 16835718387366714053310855
# alpha -6.76
Y1: 655947863939
Y0: -2080116740162367855658
# Murphy_E 8.38e-010
# M 1271251820443806534114929805329990668883291174007574987231604085600016271988485379380744146412786916036972965427
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 439313 x 439538
Polynomial selection time: 1.84 hours.
Total sieving time: 19.64 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 22.37 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

150721810883613833860276412458540167568640519018256430521087768408836448415786099602290956392194423273<102>

199209648585588769622820458941437925059772499<45>
756598949668130460359016509976391729974682603903888934227<57>

Number: g102
N=150721810883613833860276412458540167568640519018256430521087768408836448415786099602290956392194423273
  ( 102 digits)
Divisors found:
 r1=199209648585588769622820458941437925059772499 (pp45)
 r2=756598949668130460359016509976391729974682603903888934227 (pp57)
Version: Msieve-1.40
Total time: 4.99 hours.
Scaled time: 9.77 units (timescale=1.957).
Factorization parameters were as follows:
name: g102
n: 150721810883613833860276412458540167568640519018256430521087768408836448415786099602290956392194423273
skew: 5475.89
# norm 1.34e+014
c5: 68040
c4: -664173246
c3: -7626252806023
c2: -37813406180968319
c1: 52258057748767061759
c0: 107057378213323747343421
# alpha -5.71
Y1: 17409096199
Y0: -18581602017512027734
# Murphy_E 2.75e-009
# M 67503055058093048970044476777557095622419620092815774496828876992418422713533293625409912225975661918
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 262112 x 262337
Polynomial selection time: 0.50 hours.
Total sieving time: 4.23 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 4.99 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

4236870315556380098039369903323088181940804099761376480634290491976797824420141498514838608126730235966130123927245727176506817<127>

6754321484568289172985434187887056943790139178677<49>
627282892180425272457203747632461341968295653636265909025507998427062127369821<78>

Number: 73331_164
N=4236870315556380098039369903323088181940804099761376480634290491976797824420141498514838608126730235966130123927245727176506817
  ( 127 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=6754321484568289172985434187887056943790139178677
 r2=627282892180425272457203747632461341968295653636265909025507998427062127369821
Version: 
Total time: 18.55 hours.
Scaled time: 44.21 units (timescale=2.383).
Factorization parameters were as follows:
n: 4236870315556380098039369903323088181940804099761376480634290491976797824420141498514838608126730235966130123927245727176506817
m: 1000000000000000000000000000000000
deg: 5
c5: 11
c0: -35
skew: 1.26
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9469802
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 701714 x 701962
Total sieving time: 16.64 hours.
Total relation processing time: 0.71 hours.
Matrix solve time: 1.12 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 18.55 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

156028368794326241134751773049645390070921985815602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773<165>

1564682708516157729593076746118340115858134618497421<52>
99718855423597857720868501793338779777648696574003544048348780020772616457565445007512772585819256887992072879313<113>

Number: 73331_165
N=156028368794326241134751773049645390070921985815602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773
  ( 165 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1564682708516157729593076746118340115858134618497421 (pp52)
 r2=99718855423597857720868501793338779777648696574003544048348780020772616457565445007512772585819256887992072879313 (pp113)
Version: Msieve-1.40
Total time: 38.13 hours.
Scaled time: 37.71 units (timescale=0.989).
Factorization parameters were as follows:
n: 156028368794326241134751773049645390070921985815602836879432624113475177304964539007092198581560283687943262411347517730496453900709219858156028368794326241134751773
m: 1000000000000000000000000000000000
deg: 5
c5: 22
c0: -7
skew: 0.80
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 3650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 805551 x 805782
Total sieving time: 35.57 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.49 hours.
Time per square root: 0.94 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 38.13 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

7045885957488314366183623370458357518983247288396398217078479943464251420227362790070367387651860604343780717909807001651<121>

1104239814695922526636398039119065670197823<43>
6380757027338811217564960531118647618150226218080350862755796008818598741511437<79>

Number: 73331_166
N=7045885957488314366183623370458357518983247288396398217078479943464251420227362790070367387651860604343780717909807001651
  ( 121 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=1104239814695922526636398039119065670197823 (pp43)
 r2=6380757027338811217564960531118647618150226218080350862755796008818598741511437 (pp79)
Version: Msieve v. 1.44
Total time: 54.51 hours.
Scaled time: 81.55 units (timescale=1.496).
Factorization parameters were as follows:
n: 7045885957488314366183623370458357518983247288396398217078479943464251420227362790070367387651860604343780717909807001651
m: 1000000000000000000000000000000000
deg: 5
c5: 220
c0: -7
skew: 0.50
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2150000, 3850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 750134 x 750359
Total sieving time: 52.28 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.38 hours.
Time per square root: 0.76 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 54.51 hours.
 --------- CPU info (if available) ----------
[    0.030572] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.102093] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2051108k/2096800k available (7372k kernel code, 452k absent, 44524k reserved, 3466k data, 772k init)
[    0.001009] Calibrating delay loop (skipped), value calculated using timer frequency.. 3989.54 BogoMIPS (lpj=1994771)
[    0.001999] Calibrating delay using timer specific routine.. 5505.93 BogoMIPS (lpj=2752967)
[    0.103024] Total of 2 processors activated (9495.47 BogoMIPS).

ggnfs + msieve

591864152696626842812668745032588230279781511823363593048159712564648742149496262903393598297576869181661427625198226425276005160723380263<138>

109820016330048359322910570503010931<36>

5389401426765989035878493200566942374516146102706060431089988040720698547959542215951996250572612213373<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4116852324
Step 1 took 42504ms
Step 2 took 14782ms
********** Factor found in step 2: 109820016330048359322910570503010931
Found probable prime factor of 36 digits: 109820016330048359322910570503010931
Composite cofactor 5389401426765989035878493200566942374516146102706060431089988040720698547959542215951996250572612213373 has 103 digits

GMP-ECM 6.2.1

5389401426765989035878493200566942374516146102706060431089988040720698547959542215951996250572612213373<103>

1401391479136958593688939741110720276274288575652677<52>
3845750104092990927871071735575755688207468194738649<52>

Number: 73331_167
N=5389401426765989035878493200566942374516146102706060431089988040720698547959542215951996250572612213373
  ( 103 digits)
Divisors found:
 r1=1401391479136958593688939741110720276274288575652677
 r2=3845750104092990927871071735575755688207468194738649
Version: 
Total time: 3.55 hours.
Scaled time: 8.49 units (timescale=2.390).
Factorization parameters were as follows:
name: 73331_167
n: 5389401426765989035878493200566942374516146102706060431089988040720698547959542215951996250572612213373
skew: 4097.75
# norm 1.64e+14
c5: 40320
c4: -1958361504
c3: -17221716378444
c2: 27188414562676651
c1: 33121214055673416898
c0: -33012256189229942644761
# alpha -5.50
Y1: 45693702307
Y0: -42189907306613412250
# Murphy_E 2.46e-09
# M 1997110600840141969487185735223388600956316936391544059751688593970011381357450945414187330994898656216
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4676874
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 262876 x 263124
Polynomial selection time: 0.25 hours.
Total sieving time: 2.82 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 3.55 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

374231598506163308382441501093680244678968569367534840001844719025140218054176554879938828543582022103100500549761982787203744343960777788549<141>

2528431516575789096617651796309427<34>
148009386868021114014136141181083786229874235422605861967736289169789771857161756134774694674396272086829287<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=897477864
Step 1 took 42495ms
Step 2 took 14659ms
********** Factor found in step 2: 2528431516575789096617651796309427
Found probable prime factor of 34 digits: 2528431516575789096617651796309427
Probable prime cofactor 148009386868021114014136141181083786229874235422605861967736289169789771857161756134774694674396272086829287 has 108 digits

GMP-ECM 6.2.1

7342146456129040983080502229309806839938604884892583875335971039188122628916130598861274401172661036743998439093355207727<121>

7085999215281227635840096984763449<34>

1036148358624627286217516372248460715568726928814760434392187296717805689495977792371623<88>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2752642412
Step 1 took 34284ms
Step 2 took 13203ms
********** Factor found in step 2: 7085999215281227635840096984763449
Found probable prime factor of 34 digits: 7085999215281227635840096984763449
Composite cofactor 1036148358624627286217516372248460715568726928814760434392187296717805689495977792371623 has 88 digits

GMP-ECM 6.2.1

1036148358624627286217516372248460715568726928814760434392187296717805689495977792371623<88>

2918897382864143812189601638526072779141423<43>
354979371562529997440931835199505599882907401<45>

10/29/09 19:43:40 v1.12 @ ERIK-DATOR, starting SIQS on c88: 1036148358624627286217516372248460715568726928814760434392187296717805689495977792371623
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, random seeds: 1579246471, 485612288
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, ==== sieve params ====
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, n = 88 digits, 291 bits
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, factor base: 60488 primes (max prime = 1595317)
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, single large prime cutoff: 175484870 (110 * pmax)
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, double large prime range from 43 to 50 bits
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, double large prime cutoff: 691244073679672
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, using 0 large prime slices of factor base
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, buckets hold 1024 elements
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, sieve interval: 18 blocks of size 32768
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, polynomial A has ~ 0 factors
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, using multiplier of 3
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, using small prime variation correction of 20 bits
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, using SSE2 for trial division and x128 sieve scanning
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, trial factoring cutoff at 97 bits
10/29/09 19:43:40 v1.12 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
10/29/09 20:04:47 v1.12 @ ERIK-DATOR, sieve time = 379.8600, relation time = 165.2976, poly_time = 696.2156
10/29/09 20:04:47 v1.12 @ ERIK-DATOR, 60850 relations found: 20164 full + 40686 from 522236 partial, using 48318116 polys (613 A polys)
10/29/09 20:04:47 v1.12 @ ERIK-DATOR, on average, sieving found 0.01 rels/poly and 428.14 rels/sec
10/29/09 20:04:47 v1.12 @ ERIK-DATOR, trial division touched 13914331 sieve locations out of 56998368903168
10/29/09 20:04:47 v1.12 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
10/29/09 20:04:47 v1.12 @ ERIK-DATOR, begin with 542400 relations
10/29/09 20:04:47 v1.12 @ ERIK-DATOR, reduce to 123655 relations in 8 passes
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, recovered 123655 relations
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, recovered 102177 polynomials
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, attempting to build 60850 cycles
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, found 60850 cycles in 4 passes
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, distribution of cycle lengths:
10/29/09 20:04:54 v1.12 @ ERIK-DATOR,    length 1 : 20164
10/29/09 20:04:54 v1.12 @ ERIK-DATOR,    length 2 : 16960
10/29/09 20:04:54 v1.12 @ ERIK-DATOR,    length 3 : 11354
10/29/09 20:04:54 v1.12 @ ERIK-DATOR,    length 4 : 6358
10/29/09 20:04:54 v1.12 @ ERIK-DATOR,    length 5 : 3250
10/29/09 20:04:54 v1.12 @ ERIK-DATOR,    length 6 : 1545
10/29/09 20:04:54 v1.12 @ ERIK-DATOR,    length 7 : 694
10/29/09 20:04:54 v1.12 @ ERIK-DATOR,    length 9+: 525
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, largest cycle: 15 relations
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, matrix is 60488 x 60850 (12.1 MB) with weight 2920285 (47.99/col)
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, sparse part has weight 2920285 (47.99/col)
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, filtering completed in 3 passes
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, matrix is 53491 x 53554 (10.8 MB) with weight 2626833 (49.05/col)
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, sparse part has weight 2626833 (49.05/col)
10/29/09 20:04:54 v1.12 @ ERIK-DATOR, saving the first 48 matrix rows for later
10/29/09 20:04:55 v1.12 @ ERIK-DATOR, matrix is 53443 x 53554 (9.2 MB) with weight 2268111 (42.35/col)
10/29/09 20:04:55 v1.12 @ ERIK-DATOR, sparse part has weight 2086592 (38.96/col)
10/29/09 20:04:55 v1.12 @ ERIK-DATOR, matrix includes 64 packed rows
10/29/09 20:04:55 v1.12 @ ERIK-DATOR, using block size 21421 for processor cache size 2048 kB
10/29/09 20:04:55 v1.12 @ ERIK-DATOR, commencing Lanczos iteration
10/29/09 20:04:55 v1.12 @ ERIK-DATOR, memory use: 8.3 MB
10/29/09 20:05:13 v1.12 @ ERIK-DATOR, lanczos halted after 847 iterations (dim = 53443)
10/29/09 20:05:13 v1.12 @ ERIK-DATOR, recovered 18 nontrivial dependencies
10/29/09 20:05:14 v1.12 @ ERIK-DATOR, prp43 = 2918897382864143812189601638526072779141423
10/29/09 20:05:21 v1.12 @ ERIK-DATOR, prp45 = 354979371562529997440931835199505599882907401
10/29/09 20:05:21 v1.12 @ ERIK-DATOR, Lanczos elapsed time = 26.7540 seconds.
10/29/09 20:05:21 v1.12 @ ERIK-DATOR, Sqrt elapsed time = 7.7850 seconds.
10/29/09 20:05:21 v1.12 @ ERIK-DATOR, SIQS elapsed time = 1301.4064 seconds.

YAFU

3436175011898950822730319928680930364500235689325945642525140013165927267179894080408173175351066355679279036010384808531829453421957703054429651176231355518649691<163>

560536069054328544089788696356798717818119114505792935652481777664292627567<75>
6130158613514500224281908713781901398009589380109037108836665847241392993116712167381973<88>

Number: n
N=3436175011898950822730319928680930364500235689325945642525140013165927267179894080408173175351066355679279036010384808531829453421957703054429651176231355518649691
  ( 163 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat Jan  7 00:58:06 2012  prp75 factor: 560536069054328544089788696356798717818119114505792935652481777664292627567
Sat Jan  7 00:58:06 2012  prp88 factor: 6130158613514500224281908713781901398009589380109037108836665847241392993116712167381973
Sat Jan  7 00:58:06 2012  elapsed time 02:21:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_73331_177
n: 3436175011898950822730319928680930364500235689325945642525140013165927267179894080408173175351066355679279036010384808531829453421957703054429651176231355518649691
m: 100000000000000000000000000000000000
deg: 5
c5: 2200
c0: -7
skew: 0.32
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, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7142907 hash collisions in 75000097 relations
Msieve: matrix is 1109038 x 1109272 (308.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5595.66 BogoMIPS (lpj=2797831)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44761.43 BogoMIPS).

4313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843<178>

248547605560480925622741006789238584355839363443<48>
52256505242291123397545087983645084835369273482120400731461829<62>
332125758345610575600565424353848439016390715672904492677915743077469<69>

Number: n
N=4313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843
  ( 178 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sat Nov 14 06:46:51 2009  prp48 factor: 248547605560480925622741006789238584355839363443
Sat Nov 14 06:46:51 2009  prp62 factor: 52256505242291123397545087983645084835369273482120400731461829
Sat Nov 14 06:46:51 2009  prp69 factor: 332125758345610575600565424353848439016390715672904492677915743077469
Sat Nov 14 06:46:51 2009  elapsed time 05:12:36 (Msieve 1.43 - dependency 5)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 111.82 hours.
Scaled time: 203.84 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_7_3_177_1
n: 4313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843
m: 500000000000000000000000000000000000
deg: 5
c5: 176
c0: -175
skew: 1.00
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [3600000, 5400823)
Primes: RFBsize:489319, AFBsize:489694, largePrimes:20744051 encountered
Relations: rels:20484312, finalFF:986940
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1849522 hash collisions in 21701103 relations
Msieve: matrix is 1291973 x 1292197 (348.9 MB)

Total sieving time: 111.13 hours.
Total relation processing time: 0.68 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,56,56,2.5,2.5,100000
total time: 111.82 hours.
 --------- CPU info (if available) ----------

26474127557160048134777376654632972322503008423586040914560770156438026474127557160048134777376654632972322503008423586040914560770156438026474127557160048134777376654632972322503<179>

28341234128475964035151410109192458499<38>

934120491618255487715617124498006305942083239924591056032626276482155278960222427194169266237177630746177989763840285711539332572356417301997<141>

Factor=28341234128475964035151410109192458499  Method=ECM  B1=11000000  Sigma=413036558

ECMNET

934120491618255487715617124498006305942083239924591056032626276482155278960222427194169266237177630746177989763840285711539332572356417301997<141>

67058256592292662003881326725828882570681<41>
13929984748896955195464241509434392216654026429146694238764474991880558366527718997711997232165882837<101>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=658161080
Step 1 took 30006ms
Step 2 took 12945ms
********** Factor found in step 2: 67058256592292662003881326725828882570681
Found probable prime factor of 41 digits: 67058256592292662003881326725828882570681
Probable prime cofactor 13929984748896955195464241509434392216654026429146694238764474991880558366527718997711997232165882837 has 101 digits

GMP-ECM 6.3

AMD Phenom x4, 3GHz

4271033615032375279996546710520795554939044610976371924403017513185355448363955456333380985554130397682816251063097534324241791657<130>

22883169412820725759407186356986219923131<41>

186645194902042215439193454573340482165661336557053550706195264359575993024346178853869547<90>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2868529325
Step 1 took 228182ms
Step 2 took 95723ms
********** Factor found in step 2: 22883169412820725759407186356986219923131
Found probable prime factor of 41 digits: 22883169412820725759407186356986219923131
Composite cofactor 186645194902042215439193454573340482165661336557053550706195264359575993024346178853869547 has 90 digits

GMP-ECM 6.3

186645194902042215439193454573340482165661336557053550706195264359575993024346178853869547<90>

35675792793111128120777414654006396693<38>
5231704197421024246032113784283651112835283266855679<52>

>> siqs(186645194902042215439193454573340482165661336557053550706195264359575993024346178853869547)


starting SIQS on c90: 186645194902042215439193454573340482165661336557053550706195264359575993024346178853869547

==== sieving in progress ( 8 threads):   64720 relations needed ====
====            Press ctrl-c to abort and save state            ====
65856 rels found: 18736 full + 47120 from 763967 partial, (567.57 rels/sec)

SIQS elapsed time = 1435.8480 seconds.


***factors found***

PRP52 = 5231704197421024246032113784283651112835283266855679
PRP38 = 35675792793111128120777414654006396693

5944613157948862904356475977788755098816243530087164085491911710794726243755278666155523293752287735063138484060114113869328040365347<133>

7334972460059876255776723373356410023695279435912736793197312443<64>
810447917878117884239730723096400830025168489733314742964668739481529<69>

Number: n
N=5944613157948862904356475977788755098816243530087164085491911710794726243755278666155523293752287735063138484060114113869328040365347
  ( 133 digits)
Divisors found:

Mon Apr 23 13:35:25 2012  prp64 factor: 7334972460059876255776723373356410023695279435912736793197312443
Mon Apr 23 13:35:25 2012  prp69 factor: 810447917878117884239730723096400830025168489733314742964668739481529
Mon Apr 23 13:35:25 2012  elapsed time 01:33:14 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
name: KA_73331_187
n: 5944613157948862904356475977788755098816243530087164085491911710794726243755278666155523293752287735063138484060114113869328040365347
skew: 179741.50
# norm 1.44e+18
c5: 430080
c4: -5423582216
c3: -19922367407029998
c2: 1540721357035539364011
c1: -145746802235990672853942602
c0: -14443610336143157592211287465120
# alpha -6.71
Y1: 864666637569337
Y0: -26798772728930670184669441
# Murphy_E 5.85e-11
# M 3557784012625431931884238501141837965252181009244844388895940175442091076679231630902234545392237010566905001393781014019329940330118
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 21360000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3194504 hash collisions in 14026500 relations (10741328 unique)
Msieve: matrix is 1095631 x 1095857 (315.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<189>

1439804239664097685685896347039690976177416861734275651404144103963<67>
509328499758007349074189685847253363748278305932331944594971040870874995118639499429499748714681777407393380275849433840937<123>

N=733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 189 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=1439804239664097685685896347039690976177416861734275651404144103963 (pp67)
 r2=509328499758007349074189685847253363748278305932331944594971040870874995118639499429499748714681777407393380275849433840937 (pp123)
Version: Msieve-1.40
Total time: 480.46 hours.
Scaled time: 446.35 units (timescale=0.929).
Factorization parameters were as follows:
n: 733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 50000000000000000000000000000000000000
deg: 5
c5: 176
c0: -175
skew: 1.00
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5300000, 10500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1872355 x 1872580
Total sieving time: 468.26 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 11.41 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,190.000,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 480.46 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

407658065685166310501605868253723487576970958871956471124972363571878547862561736139122026862691121265688651307854596126709860375369796582617072138241182837219<159>

4715017394018487212573314712771537<34>

86459504094793995848071740496250801037756736698779005777981059351341971162775627688244792448740248563772972323369718806985587<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2977646538
Step 1 took 25351ms
Step 2 took 13774ms
********** Factor found in step 2: 4715017394018487212573314712771537
Found probable prime factor of 34 digits: 4715017394018487212573314712771537
Composite cofactor 86459504094793995848071740496250801037756736698779005777981059351341971162775627688244792448740248563772972323369718806985587 has 125 digits

GMP-ECM 6.3

86459504094793995848071740496250801037756736698779005777981059351341971162775627688244792448740248563772972323369718806985587<125>

24154206636633995150283750912115948296305549800796926048249<59>
3579480187259114361780964993709867704204776126892247288967613129163<67>

N = 86459504094793995848071740496250801037756736698779005777981059351341971162775627688244792448740248563772972323369718806985587 (125 digits)
Divisors found:
r1=24154206636633995150283750912115948296305549800796926048249 (pp59)
r2=3579480187259114361780964993709867704204776126892247288967613129163 (pp67)
Version: Msieve v. 1.48
Total time: 25.37 hours.
Factorization parameters were as follows:
n: 86459504094793995848071740496250801037756736698779005777981059351341971162775627688244792448740248563772972323369718806985587
Y0: -1395784725283067774525093
Y1: 38927183785921
c0: -4673716387442844960561037770600
c1: 25396354609887455229156306
c2: 518306860954269896517
c3: -2029940073416611
c4: 510933163
c5: 16320
skew: 240653.93 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11464326
Relations: 1598270 relations
Pruned matrix : 944523 x 944753
Polynomial selection time: 0.00 hours.
Total sieving time: 24.20 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 1.06 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 25.37 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

834462881030564500099046022136881221318606416315268644545799294248470729411336660538482628402064414726290517876491295835392643654944380013225270407986806927<156>

1141316468028010897248216066453761573748193327<46>
3110120240934325837258078746852631201402042080879941<52>
235084372316223140372405052478661222506223710663493007564461<60>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=774232662
Step 1 took 301216ms
Step 2 took 81382ms
********** Factor found in step 2: 1141316468028010897248216066453761573748193327
Found probable prime factor of 46 digits: 1141316468028010897248216066453761573748193327
Composite cofactor 731140664668026672219223185711370532902222526995845672075962736151527798843422787314512374359277335088159376801 has 111 digits

N=731140664668026672219223185711370532902222526995845672075962736151527798843422787314512374359277335088159376801
  ( 111 digits)
Divisors found:
 r1=3110120240934325837258078746852631201402042080879941 (pp52)
 r2=235084372316223140372405052478661222506223710663493007564461 (pp60)
Version: Msieve v. 1.48
Total time: 2.17 hours.
Scaled time: 2.12 units (timescale=0.980).
Factorization parameters were as follows:
name: c111
n: 731140664668026672219223185711370532902222526995845672075962736151527798843422787314512374359277335088159376801
skew: 34284.27
# norm 3.21e+15
c5: 36960
c4: -135121976
c3: 65725140572516
c2: -378260417498143434
c1: -99652969169879325086929
c0: 1202263786110243379310382987
# alpha -6.49
Y1: 865395832913
Y0: -1816577566212986026610
# Murphy_E 8.37e-10
# M 548633149215487628380365125248902927327884895257512506296036911310851471877318392969370516035640683937720236186
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2400001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 394163 x 394394
Polynomial selection time: 1.64 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 2.17 hours.

145488111654282241874972175489431220973382686911392193820077417261115418420789334828014126477895301824971849057865927053494282884330954255453151709763822379<156>

69507268030409531952376952007986170764337907423283319328035362812911<68>
2093135232859835307160612928274777131132976271905346355620862673189407037974085653600389<88>

p68 factor: 69507268030409531952376952007986170764337907423283319328035362812911
p88 factor: 2093135232859835307160612928274777131132976271905346355620862673189407037974085653600389


Msieve v. 1.54 (SVN 1034)
random seeds: 1ee8b8cc 1c2d548f
factoring 145488111654282241874972175489431220973382686911392193820077417261115418420789334828014126477895301824971849057865927053494282884330954255453151709763822379 (156 digits)
searching for 15-digit factors
commencing number field sieve (156-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 220
skew 1.00, size 2.623e-13, alpha -0.239, combined = 3.577e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 595281 hash collisions in 36098978 relations
added 726992 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 36825970 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1183.3 MB
keeping 39451162 ideals with weight <= 200, target excess is 204642
commencing in-memory singleton removal
begin with 36825970 relations and 39451162 unique ideals
reduce to 13803794 relations and 12372426 ideals in 17 passes
max relations containing the same ideal: 110
removing 2112461 relations and 1712461 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11691333 relations and 12372426 unique ideals
reduce to 11411871 relations and 10370001 ideals in 9 passes
max relations containing the same ideal: 98
removing 1695871 relations and 1295871 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9716000 relations and 10370001 unique ideals
reduce to 9496150 relations and 8846350 ideals in 9 passes
max relations containing the same ideal: 85
removing 1603196 relations and 1203196 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7892954 relations and 8846350 unique ideals
reduce to 7646586 relations and 7386646 ideals in 10 passes
max relations containing the same ideal: 74
removing 171078 relations and 148523 ideals in 22555 cliques
commencing in-memory singleton removal
begin with 7475508 relations and 7386646 unique ideals
reduce to 7472505 relations and 7235110 ideals in 6 passes
max relations containing the same ideal: 74
relations with 0 large ideals: 4335
relations with 1 large ideals: 16706
relations with 2 large ideals: 125032
relations with 3 large ideals: 511462
relations with 4 large ideals: 1256747
relations with 5 large ideals: 1944587
relations with 6 large ideals: 1966405
relations with 7+ large ideals: 1647231
commencing 2-way merge
reduce to 4558329 relation sets and 4320934 unique ideals
commencing full merge
memory use: 470.2 MB
found 2105123 cycles, need 2079134
weight of 2079134 cycles is about 187148535 (90.01/cycle)
distribution of cycle lengths:
1 relations: 167542
2 relations: 174326
3 relations: 186134
4 relations: 179777
5 relations: 175137
6 relations: 163344
7 relations: 152392
8 relations: 136972
9 relations: 122988
10+ relations: 620522
heaviest cycle: 26 relations
commencing cycle optimization
start with 15388776 relations
pruned 483649 relations
memory use: 461.5 MB
distribution of cycle lengths:
1 relations: 167542
2 relations: 178454
3 relations: 192899
4 relations: 185565
5 relations: 181639
6 relations: 168144
7 relations: 156376
8 relations: 139733
9 relations: 125391
10+ relations: 583391
heaviest cycle: 26 relations
RelProcTime: 895
elapsed time 00:14:56


Msieve v. 1.54 (SVN 1034)
random seeds: 4903cfe6 db55943e
factoring 145488111654282241874972175489431220973382686911392193820077417261115418420789334828014126477895301824971849057865927053494282884330954255453151709763822379 (156 digits)
searching for 15-digit factors
commencing number field sieve (156-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 220
skew 1.00, size 2.623e-13, alpha -0.239, combined = 3.577e-11 rroots = 1

commencing linear algebra
read 2079134 cycles
cycles contain 7303037 unique relations
read 7303037 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 897.2 MB
read 2079134 cycles
matrix is 2078952 x 2079134 (764.3 MB) with weight 226169175 (108.78/col)
sparse part has weight 177495158 (85.37/col)
filtering completed in 2 passes
matrix is 2077899 x 2078081 (764.2 MB) with weight 226128941 (108.82/col)
sparse part has weight 177480380 (85.41/col)
matrix starts at (0, 0)
matrix is 2077899 x 2078081 (764.2 MB) with weight 226128941 (108.82/col)
sparse part has weight 177480380 (85.41/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2077851 x 2078081 (729.1 MB) with weight 186473638 (89.73/col)
sparse part has weight 170358061 (81.98/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 685.4 MB
linear algebra at 0.1%, ETA 1h53m
checkpointing every 1050000 dimensions
lanczos halted after 32865 iterations (dim = 2077847)
recovered 36 nontrivial dependencies
BLanczosTime: 7040
elapsed time 01:57:21


Msieve v. 1.54 (SVN 1034)
random seeds: 01d75243 22e254c0
factoring 145488111654282241874972175489431220973382686911392193820077417261115418420789334828014126477895301824971849057865927053494282884330954255453151709763822379 (156 digits)
searching for 15-digit factors
commencing number field sieve (156-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -7
A1: 0
A2: 0
A3: 0
A4: 0
A5: 220
skew 1.00, size 2.623e-13, alpha -0.239, combined = 3.577e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1038149 cycles
cycles contain 3651728 unique relations
read 3651728 relations
multiplying 3651728 relations
multiply complete, coefficients have about 106.51 million bits
initial square root is modulo 44170111
GCD is 1, no factor found
reading relations for dependency 2
read 1039141 cycles
cycles contain 3648480 unique relations
read 3648480 relations
multiplying 3648480 relations
multiply complete, coefficients have about 106.42 million bits
initial square root is modulo 43487681
sqrtTime: 418
p68 factor: 69507268030409531952376952007986170764337907423283319328035362812911
p88 factor: 2093135232859835307160612928274777131132976271905346355620862673189407037974085653600389
elapsed time 00:06:59

CADO-NFS/Msieve

2144388013149765845008822010952585417658436842478224463101999027467265636153396611607310993044543512873617515495668656261361370950414126560342956642979718522151127<163>

91701099114691934282157784003316841307<38>
23384539922119665425630048768464179132824716685342925647002542937163239921961926066888793342366816242092701053575525680510261<125>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=725057747
Step 1 took 71589ms
Step 2 took 26390ms
********** Factor found in step 2: 91701099114691934282157784003316841307
Found probable prime factor of 38 digits: 91701099114691934282157784003316841307

2249170412591462115354329790140135681434914158351322089239614012627631890970337267563084291731540059618514324695527287761254827679980197574441001<145>

330148173335726394108575078059433052048828035070239624159627<60>
6812608986645185723309357454114420358108910405056310636829850982818912153829647473563<85>

2249170412591462115354329790140135681434914158351322089239614012627631890970337267563084291731540059618514324695527287761254827679980197574441001=330148173335726394108575078059433052048828035070239624159627*6812608986645185723309357454114420358108910405056310636829850982818912153829647473563

n: 2249170412591462115354329790140135681434914158351322089239614012627631890970337267563084291731540059618514324695527287761254827679980197574441001
skew: 1406320.831
c0: -100606214243425023804939222813245140
c1: -85530003552726505212084149393
c2: 239514197599318842835342
c3: 153915406557301811
c4: -57320938500
c5: 11880
Y0: -16282548760868936045672714038
Y1: 25302001057617466601
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.89e-07
# found by revision 7f9c8bd19
# f(x) = 11880*x^5-57320938500*x^4+153915406557301811*x^3+239514197599318842835342*x^2-85530003552726505212084149393*x-100606214243425023804939222813245140
# g(x) = 25302001057617466601*x-16282548760868936045672714038

Info:Square Root: Factors: 330148173335726394108575078059433052048828035070239624159627 6812608986645185723309357454114420358108910405056310636829850982818912153829647473563
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): 78153/42.180/52.035/57.880/0.936
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78153/41.120/46.692/52.800/1.350
Info:Polynomial Selection (size optimized): Total time: 38782.8
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2258.09
Info:Polynomial Selection (root optimized): Rootsieve time: 2256.55
Info:Generate Factor Base: Total cpu/real time for makefb: 51.42/8.61776
Info:Generate Free Relations: Total cpu/real time for freerel: 1258.22/168.985
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48462690
Info:Lattice Sieving: Average J: 3872.91 for 1055521 special-q, max bucket fill -bkmult 1.0,1s:1.176960
Info:Lattice Sieving: Total time: 479085s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 299.15/254.208
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 252.39999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2432.86/1516.31
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1188.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2114.53/1429.51
Info:Filtering - Merging: Total cpu/real time for merge: 4283.2/4020.65
Info:Filtering - Merging: Total cpu/real time for replay: 463.37/441.775
Info:Linear Algebra: Total cpu/real time for bwc: 365132/73757.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 50179.72, iteration CPU time 0.4, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (107000 iterations)
Info:Linear Algebra: Lingen CPU time 655.96, WCT time 151.3
Info:Linear Algebra: Mksol: WCT time 21679.3, iteration CPU time 0.35, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (54000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 149.62/40.3482
Info:Square Root: Total cpu/real time for sqrt: 16357.2/2217.56
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.11014e+06/576542
Info:root: Cleaning up computation data in /tmp/cado.1e2scbm9
330148173335726394108575078059433052048828035070239624159627 6812608986645185723309357454114420358108910405056310636829850982818912153829647473563

cado-nfs-3.0.0

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

2337689937307406226755923918818403995324620125385187546488152162363192009350759749229624907023695675273615981298480501540750185952608649452768037403038996918499628094782701094463925193922006163<193>

865705014948683820695382200352934286953759<42>
2700330825097480678864281228686638696675856044230083140116407966903315950254431328829179821478217319803331163711026706022488383947812078822791851974157<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2548502624
Step 1 took 70148ms
Step 2 took 21764ms
********** Factor found in step 2: 865705014948683820695382200352934286953759
Found probable prime factor of 42 digits: 865705014948683820695382200352934286953759
Probable prime cofactor 2700330825097480678864281228686638696675856044230083140116407966903315950254431328829179821478217319803331163711026706022488383947812078822791851974157 has 151 digits

GMP-ECM 6.2.1

193461256772070595503682342225963029748311284259676038812965512782155689928209718444551821701138582087324044462792022611539223719330226037787<141>

77606502219713246960214308446812929351325671<44>
2492848553132297416457617944306764517340696310459674037842765725842446078337239599253323559418797<97>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1854828235
Step 1 took 60667ms
Step 2 took 23335ms
********** Factor found in step 2: 77606502219713246960214308446812929351325671
Found probable prime factor of 44 digits: 77606502219713246960214308446812929351325671

733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<198>

1691177910918677267446605245592845163445118231338319440072463508348212239791344230793<85>
433622819100666887719364223144800146851804753218297702397853994103761436609576924767421335549798919696781901321467<114>

N=733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 198 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=1691177910918677267446605245592845163445118231338319440072463508348212239791344230793 (pp85)
 r2=433622819100666887719364223144800146851804753218297702397853994103761436609576924767421335549798919696781901321467 (pp114)
Version: Msieve-1.40
Total time: 884.76 hours.
Scaled time: 826.37 units (timescale=0.934).
Factorization parameters were as follows:
n: 733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 2000000000000000000000000000000000000000
deg: 5
c5: 275
c0: -28
skew: 0.63
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7250000, 17450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2261830 x 2262055
Total sieving time: 873.62 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 9.77 hours.
Time per square root: 0.89 hours.
Prototype def-par.txt line would be:
snfs,198.000,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 884.76 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

199549206019832792773287123006247059660336196595818963750424796197341790015745389155878269862857793131528429741918330754598813701667<132>

794665983683432713229078783480692812643<39>
251110793864465017123285981756621383926958842016475700116836392151198146827790293005731055169<93>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=247713101
Step 1 took 42786ms
Step 2 took 16973ms
********** Factor found in step 2: 794665983683432713229078783480692812643
Found probable prime factor of 39 digits: 794665983683432713229078783480692812643
Probable prime cofactor 251110793864465017123285981756621383926958842016475700116836392151198146827790293005731055169 has 93 digits

GMP-ECM 6.2.3

953328846014455143292973853305405824788116055671059289657256916625026779332283016277175716667234980658279374812316091761489412002671036760763300420478254142191086039891343564779173917761702429<192>

206217163655406148231303273607413663934673255585405508617539668291139<69>
4622936467148246820955986679435191697082413544249972204694747187910910803723343324526567830445636048100989307875904108974111<124>

Number: n
N=953328846014455143292973853305405824788116055671059289657256916625026779332283016277175716667234980658279374812316091761489412002671036760763300420478254142191086039891343564779173917761702429
  ( 192 digits)
SNFS difficulty: 200 digits.
Divisors found:

Wed Nov 24 21:39:43 2010  prp69 factor: 206217163655406148231303273607413663934673255585405508617539668291139
Wed Nov 24 21:39:43 2010  prp124 factor: 4622936467148246820955986679435191697082413544249972204694747187910910803723343324526567830445636048100989307875904108974111
Wed Nov 24 21:39:43 2010  elapsed time 13:51:04 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
name: KA_7_3_198_1
n: 953328846014455143292973853305405824788116055671059289657256916625026779332283016277175716667234980658279374812316091761489412002671036760763300420478254142191086039891343564779173917761702429
m: 2000000000000000000000000000000000000000
deg: 5
c5: 6875
c0: -7
skew: 0.25
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4436128 hash collisions in 37905059 relations
Msieve: matrix is 2982455 x 2982686 (856.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
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.. 5660.32 BogoMIPS (lpj=2830164)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22643.06 BogoMIPS).

7349214718884842355190666643939935234991814875947196751693290856983961931388393322381229793077992178994174227016384684370216254358742552371335812256250461161305138394097<169>

592607224022098149928623639483447817489547716219<48>
12401493638577028702280077432895835295535981691367277962326089048448978232197943687287588207908328901593436650751971301763<122>

N=7349214718884842355190666643939935234991814875947196751693290856983961931388393322381229793077992178994174227016384684370216254358742552371335812256250461161305138394097
  ( 169 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=592607224022098149928623639483447817489547716219 (pp48)
 r2=12401493638577028702280077432895835295535981691367277962326089048448978232197943687287588207908328901593436650751971301763 (pp122)
Version: Msieve v. 1.49
Total time:
Scaled time: 75.45 units (timescale=0.677).
Factorization parameters were as follows:
n: 7349214718884842355190666643939935234991814875947196751693290856983961931388393322381229793077992178994174227016384684370216254358742552371335812256250461161305138394097
m: 10000000000000000000000000000000000000000
deg: 5
c5: 22
c0: -7
skew: 0.80
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7950000, 15950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3097025 x 3097249
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time:

7333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<202>

3738114793715978661298050160614532582086315190690527451331033822598214807149604588803644290893165131<100>
1961773176591890071629121456467970548515701478098619338991482566628187530247462634365623114078994482201<103>

Number: n
N=7333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 202 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Jul 25 05:12:48 2012  prp100 factor: 3738114793715978661298050160614532582086315190690527451331033822598214807149604588803644290893165131
Wed Jul 25 05:12:48 2012  prp103 factor: 1961773176591890071629121456467970548515701478098619338991482566628187530247462634365623114078994482201
Wed Jul 25 05:12:48 2012  elapsed time 07:11:03 (Msieve 1.44 - dependency 1)

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_73331_201
n: 7333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 10000000000000000000000000000000000000000
#  c202, diff: 202.34
skew: 0.502
deg: 5
c5: 220
c0: -7
# Murphy_E = 1.543e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 31050000)
Primes: RFBsize:1061198, AFBsize:1059425,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9343905 hash collisions in 53553444 relations (45504550 unique)
Msieve: matrix is 2360607 x 2360838 (412.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

16338373178918217886410761244037423083889142923711345108175844660660334300432449356959912357960499288323471116352025122459620312450414949758674067684060064395731663<164>

1147297694405713162815504310492948825013<40>

14240744367033095813417268985623247584774802942356927704395807252271723576421750622537681854282316457481238950184973123512051<125>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=485341387
Step 1 took 72653ms
Step 2 took 26366ms
********** Factor found in step 2: 1147297694405713162815504310492948825013
Found probable prime factor of 40 digits: 1147297694405713162815504310492948825013

14240744367033095813417268985623247584774802942356927704395807252271723576421750622537681854282316457481238950184973123512051<125>

97542073059366228229437037810193214070457<41>
145995916637591543761266437121005406059884798210983720763479331744362770724900863243<84>

N = 14240744367033095813417268985623247584774802942356927704395807252271723576421750622537681854282316457481238950184973123512051 (125 digits)
Divisors found:
r1=97542073059366228229437037810193214070457 (pp41)
r2=145995916637591543761266437121005406059884798210983720763479331744362770724900863243 (pp84)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 14.63 hours.
Factorization parameters were as follows:
n: 14240744367033095813417268985623247584774802942356927704395807252271723576421750622537681854282316457481238950184973123512051
Y0: -1761391645003454128431091
Y1: 11678341493731
c0: -976047848388853923053488872853440
c1: 20962232500979411944960692
c2: 8868978581268689416368
c3: 5805814838487071
c4: -7659088090
c5: 840
skew: 1110786.65
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11130086
Relations: 1631280 relations
Pruned matrix : 938990 x 939225
Polynomial selection time: 0.00 hours.
Total sieving time: 13.25 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.85 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 14.63 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

22789078237711754289268890622357389493643866594770439601702476321010846773583263889055706668034259969055601506796864855542172116897956595443017811200833818396273955046465226525162401730555365827847<197>

811268371327678242409477575054280456943477705108491879381<57>
69958097172507825069596024874022934752350300441767084157459928121189<68>
401535757838151440490884321226279621759385640353905881412817901593443983<72>

Number: n
N=22789078237711754289268890622357389493643866594770439601702476321010846773583263889055706668034259969055601506796864855542172116897956595443017811200833818396273955046465226525162401730555365827847
  ( 197 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat May  1 14:42:26 2021  found factor: 69958097172507825069596024874022934752350300441767084157459928121189
Sat May  1 14:44:52 2021  p57 factor: 811268371327678242409477575054280456943477705108491879381
Sat May  1 14:44:52 2021  p68 factor: 69958097172507825069596024874022934752350300441767084157459928121189
Sat May  1 14:44:52 2021  p72 factor: 401535757838151440490884321226279621759385640353905881412817901593443983
Sat May  1 14:44:52 2021  elapsed time 01:53:23 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 22x10^204-7 = 73(203)1
#
n: 22789078237711754289268890622357389493643866594770439601702476321010846773583263889055706668034259969055601506796864855542172116897956595443017811200833818396273955046465226525162401730555365827847
m: 100000000000000000000000000000000000000000
deg: 5
c5: 11
c0: -35
skew: 1.26
# Murphy_E = 1.103e-11
type: snfs
lss: 1
rlim: 19000000
alim: 19000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19000000/19000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 29500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8072823 hash collisions in 59053527 relations (53340956 unique)
Msieve: matrix is 2084983 x 2085208 (724.8 MB)

Sieving start time : 2021/05/01 02:14:25
Sieving end time  : 2021/05/01 12:50:25

Total sieving time: 10hrs 36min 0secs.

Total relation processing time: 1hrs 28min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 51sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19000000,19000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

120713039872872416597623552614683701891065071859751663379486226694453927560713029116755903910321023655680325422290151879064814112862336649828568443440858577382208271623332437867<177>

250597921302534461203465402923029479056535553006081503<54>
481700084523612392876191234552623423099776202026382216122540751166975874578937950318173655387726051195328754545593316044789<123>

Number: n
N=120713039872872416597623552614683701891065071859751663379486226694453927560713029116755903910321023655680325422290151879064814112862336649828568443440858577382208271623332437867  ( 177 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Jun 24 03:46:58 2024  prp54 factor: 250597921302534461203465402923029479056535553006081503
Mon Jun 24 03:46:58 2024  prp123 factor: 481700084523612392876191234552623423099776202026382216122540751166975874578937950318173655387726051195328754545593316044789
Mon Jun 24 03:46:58 2024  elapsed time 02:48:55 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.011).
Factorization parameters were as follows:
#
# N = 22x10^206-7 = 73(205)1
#
n: 120713039872872416597623552614683701891065071859751663379486226694453927560713029116755903910321023655680325422290151879064814112862336649828568443440858577382208271623332437867
m: 100000000000000000000000000000000000000000
deg: 5
c5: 220
c0: -7
skew: 0.50
# Murphy_E = 9.503e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5807483 hash collisions in 23314940 relations (16949976 unique)
Msieve: matrix is 2279928 x 2280153 (643.9 MB)

Sieving start time: 2024/06/23 06:42:28
Sieving end time  : 2024/06/24 00:49:08

Total sieving time: 18hrs 6min 40secs.

Total relation processing time: 2hrs 37min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 36sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

92359657800899940744243418286924799529894266347394034575460549839123008142552251316425014968235439916870902208358305369468144986730557839170712795192405944753625975822456534104277523963104079<191>

777426463502695171270980096858023<33>
118801793014317359373978020208231511468275274830985109415037667775667488319674224986267968739887421626570241765475104052376964466968234650800468265073526350873<159>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3427460877
Step 1 took 10592ms
Step 2 took 6599ms
********** Factor found in step 2: 777426463502695171270980096858023
Found probable prime factor of 33 digits: 777426463502695171270980096858023
Probable prime cofactor 118801793014317359373978020208231511468275274830985109415037667775667488319674224986267968739887421626570241765475104052376964466968234650800468265073526350873 has 159 digits

GMP-ECM 6.3

84866720672761640242255911738610500327894148053851791845079658990086023994136481117154650310535046098059638159163677043552058017976314469775874705859661304632951433090305905952243181730509586081857809667091<206>

60207594642294229448904437409366937<35>

1409568363874563964670136195186095207918132937226387964858686333051354511433149581507131870564968718438419785642159772481586297000917861660178794239656382549994205287522443<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2242387847
Step 1 took 27130ms
Step 2 took 10224ms
********** Factor found in step 2: 60207594642294229448904437409366937
Found probable prime factor of 35 digits: 60207594642294229448904437409366937

1256862142999594744420739762070504106232072107052075297976358149157070254569613382798556662804970823731690402962434509309463309261144444471307095404040988608540859008730944386581<178>

15409512064751179861896385447307383<35>

81564045488152159831765009357153651346750711095107771332798684438137212720541503685961982509852837695755823827432412812891355186236566007940307<143>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=276623722
Step 1 took 85621ms
Step 2 took 29486ms
********** Factor found in step 2: 15409512064751179861896385447307383
Found probable prime factor of 35 digits: 15409512064751179861896385447307383

81564045488152159831765009357153651346750711095107771332798684438137212720541503685961982509852837695755823827432412812891355186236566007940307<143>

2777243367058076359855745721854878467789016751532729653<55>
29368706558313847711563037431532805571379468082740361353962494875526860387942392196377319<89>

saNumber: 73331_210
N = 81564045488152159831765009357153651346750711095107771332798684438137212720541503685961982509852837695755823827432412812891355186236566007940307 (143 digits)
Divisors found:
r1=2777243367058076359855745721854878467789016751532729653 (pp55)
r2=29368706558313847711563037431532805571379468082740361353962494875526860387942392196377319 (pp89)
Version: Msieve v. 1.51 (SVN 845)
Total time: 635.54 hours.
Factorization parameters were as follows:
# Murphy_E = 1.405e-11, selected by Erik Branger
# expecting poly E from 1.37e-011 to > 1.57e-011
n: 81564045488152159831765009357153651346750711095107771332798684438137212720541503685961982509852837695755823827432412812891355186236566007940307
Y0: -6947249791141686622761834898
Y1: 3233226728047753
c0: 8253420214200685526940941676444305625
c1: 3105093601173075300345038579055
c2: -1921568776981115717040057
c3: -608576039391861863
c4: 91011190504
c5: 5040
skew: 5274147.95
type: gnfs
# selected mechanically
rlim: 22000000
alim: 22000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23621440
Relations: 4476414 relations
Pruned matrix : 2770041 x 2770266
Polynomial selection time: 0.00 hours.
Total sieving time: 627.15 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 7.58 hours.
time per square root: 0.55 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,22000000,22000000,28,28,56,56,2.6,2.6,100000
total time: 635.54 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

21975826590750174807711517330935970432524223354310258715413045649785236240135850564379182898811307561682149635401058835281190690240735191289581460393567076216162221556288083108580561382479272799920087903306363<209>

961821050803079484252075796670808361726453<42>
22848144748340971022725148483763075696118884812290289847523720352790658942553061784816971446664429784934923142547956719780806610265746909814862779943901883928022199471<167>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=119706112
Step 1 took 138321ms
Step 2 took 31046ms
********** Factor found in step 2: 961821050803079484252075796670808361726453
Found probable prime factor of 42 digits: 961821050803079484252075796670808361726453

156461133632031861176303250124457719934570798662968494417182277220681317118270393286394993243723774980442358295996017352962093734442785008178650167128938197852215347414835360216200839200625844534528127444705213<210>

898021160373401888261443286756116169100223039<45>
174228782723755089153757102763614985376920191763340203639272466653371509723519461568865836497141879010149869635459643545843444148927327735074669202556374569962014467<165>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1512350092
Step 1 took 407961ms
Step 2 took 99672ms
********** Factor found in step 2: 898021160373401888261443286756116169100223039
Found probable prime factor of 45 digits: 898021160373401888261443286756116169100223039

73333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<215>

20524587556451057611870536521997926208624589<44>
3572950400666347346613491874837968792753354540079878695494161731207135130163849737509562349447550503331376473411340133334847356784618379644206868261729506651768382379557279<172>

Looks like a missed ECM here, unfortunately. --Bob.

Number: n
N=73333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 215 digits)
SNFS difficulty: 217 digits.
Divisors found:

Wed Sep  5 12:13:26 2012  prp44 factor: 20524587556451057611870536521997926208624589
Wed Sep  5 12:13:26 2012  prp172 factor: 3572950400666347346613491874837968792753354540079878695494161731207135130163849737509562349447550503331376473411340133334847356784618379644206868261729506651768382379557279
Wed Sep  5 12:13:26 2012  elapsed time 33:28:10 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
name: KA_73331_214
n: 73333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 1000000000000000000000000000000000000
#  c215, diff: 217.04
skew: 1.78
deg: 6
c6: 11
c0: -350
# Murphy_E = 2.515e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 100000
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, 100000)
Primes: RFBsize:1799676, AFBsize:1800792, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 15284279 hash collisions in 73013159 relations (59343722 unique)
Msieve: matrix is 4260292 x 4260517 (1209.0 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,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) ----------
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.. 5662.33 BogoMIPS (lpj=2831168)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22645.07 BogoMIPS).

829844215608615291765682169665421900343253743729018143412168533816151786051073139451548413865942438987590056957489344045867753008185281581230432650597865037154388744294821017690769869110935083550224435140130511863<213>

5469313163294478222654098676214141137716102191<46>
151727317641609124465215275854378714393212310557955579353430774553649977685967652359511861088946550309762829452951518893697743198900052690207246976159199691378876779193<168>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3165040581
Step 1 took 74383ms
Step 2 took 24849ms
********** Factor found in step 2: 5469313163294478222654098676214141137716102191
Found probable prime factor of 46 digits: 5469313163294478222654098676214141137716102191
Probable prime cofactor 

527577937649880095923261390887290167865707434052757793764988009592326139088729016786570743405275779376498800959232613908872901678657074340527577937649880095923261390887290167865707434052757793764988009592326139088729<216>

2024981470159319384928703855479500140971809933<46>
260534698921650807964420010482648320084102880546689958199841354109048854350421425008624040145360232090240045409009692093535802539471383559206844456403582622643785783081213<171>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1061959728
Step 1 took 69160ms
Step 2 took 31084ms
********** Factor found in step 2: 2024981470159319384928703855479500140971809933
Found probable prime factor of 46 digits: 2024981470159319384928703855479500140971809933
Probable prime cofactor 

733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<219>

935229329773823691992498427556279<33>

784121402085072564059342205709889467376390882841921563121574910153065751056796707434722781189711199178464024446868503263976147222126349860578280052208568232839060509507777877565061515589<186>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4143466384
Step 1 took 21282ms
Step 2 took 7728ms
********** Factor found in step 2: 935229329773823691992498427556279
Found probable prime factor of 33 digits: 935229329773823691992498427556279
Composite cofactor 784121402085072564059342205709889467376390882841921563121574910153065751056796707434722781189711199178464024446868503263976147222126349860578280052208568232839060509507777877565061515589 has 186 digits

1327322365761537611351358369853718317948632406040166491860422745090420243347191972520367835610333433640894498976950901716419013683172600235959665615133532078017119923332605230649594841876626545699550076150022611027<214>

27924234211790354491710770130923<32>

47532990723917750291077574172282745005598044546855401935111450629027014126544948840135002671079672440037270363504911779916185814506994117222095287429206880812118931987287886408654649<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2572475959
Step 1 took 31226ms
Step 2 took 11056ms
********** Factor found in step 2: 27924234211790354491710770130923
Found probable prime factor of 32 digits: 27924234211790354491710770130923

47532990723917750291077574172282745005598044546855401935111450629027014126544948840135002671079672440037270363504911779916185814506994117222095287429206880812118931987287886408654649<182>

19512317141082619957448353920877852517748455679216121<53>
2436050540806269068167054791778881177010688523984778117467930663597065702408350407137578297008196185331482479663541180326811586369<130>

Number: 73331_221
N = 47532990723917750291077574172282745005598044546855401935111450629027014126544948840135002671079672440037270363504911779916185814506994117222095287429206880812118931987287886408654649 (182 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=19512317141082619957448353920877852517748455679216121 (pp53)
r2=2436050540806269068167054791778881177010688523984778117467930663597065702408350407137578297008196185331482479663541180326811586369 (pp130)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.68 hours.
Factorization parameters were as follows:
n: 47532990723917750291077574172282745005598044546855401935111450629027014126544948840135002671079672440037270363504911779916185814506994117222095287429206880812118931987287886408654649
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 220
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30621785
Relations: 9276012 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 26.36 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 7895189 x 7895414
Matrix solve time: 34.44 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 61.68 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

64896755162241887905604719764011799410029498525073746312684365781710914454277286135693215339233038348082595870206489675516224188790560471976401179941002949852507374631268436578171091445427728613569321533923303834808259587<221>

32491968825917920112981504338599543560123598943493592820609808398960920473611<77>
1997316798804620010403020765374033355303666435317172721680342228035764750982285913424948719080098332261939058291030966035967927283563800235626217<145>

Number: n
N=64896755162241887905604719764011799410029498525073746312684365781710914454277286135693215339233038348082595870206489675516224188790560471976401179941002949852507374631268436578171091445427728613569321533923303834808259587
  ( 221 digits)
SNFS difficulty: 223 digits.
Divisors found:

Fri Apr 26 19:02:04 2019  p77 factor: 32491968825917920112981504338599543560123598943493592820609808398960920473611
Fri Apr 26 19:02:04 2019  p145 factor: 1997316798804620010403020765374033355303666435317172721680342228035764750982285913424948719080098332261939058291030966035967927283563800235626217
Fri Apr 26 19:02:04 2019  elapsed time 10:52:34 (Msieve 1.54 - dependency 10)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.703).
Factorization parameters were as follows:
#
# N = 22x10^222-7 = 73(221)1
#
n: 64896755162241887905604719764011799410029498525073746312684365781710914454277286135693215339233038348082595870206489675516224188790560471976401179941002949852507374631268436578171091445427728613569321533923303834808259587
m: 10000000000000000000000000000000000000
deg: 6
c6: 22
c0: -7
skew: 0.83
# Murphy_E = 2.291e-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, 65700000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11585242 hash collisions in 63664532 relations (54155536 unique)
Msieve: matrix is 4542979 x 4543204 (1590.1 MB)

Sieving start time: 2019/04/25 02:07:39
Sieving end time  : 2019/04/26 08:07:40

Total sieving time: 30hrs 0min 1sec.

Total relation processing time: 8hrs 54min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 37min 10sec.

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) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285104K/16703460K available (12300K kernel code, 2473K rwdata, 4252K rodata, 2408K init, 2416K bss, 418356K reserved, 0K cma-reserved)
[    0.080571] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.46 BogoMIPS (lpj=11976920)
[    0.078216] smpboot: Total of 16 processors activated (95815.36 BogoMIPS)

313839141493072426741091083913371965771795918630413761544438517718454234671789010976528680779863614555033752222604270463770458265361244528774252603582388489348051886087729966527<177>

103235525847548096291251147140724342129235286693022981871337710958601279917986746898785441433028570034059375834658309589043381544597610018119510802121135397614715563858273998492398899103218570891497309<201>

597315644320047281763637881915521<33>

172832449357769609452494738037001371818599945651895201001429936712121833847868034539879802695553437412780057750134141042675768468007596955393873067077995673455792683229<168>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=713733329
Step 1 took 12105ms
Step 2 took 6989ms
********** Factor found in step 2: 597315644320047281763637881915521
Found probable prime factor of 33 digits: 597315644320047281763637881915521
Composite cofactor 172832449357769609452494738037001371818599945651895201001429936712121833847868034539879802695553437412780057750134141042675768468007596955393873067077995673455792683229 has 168 digits

GMP-ECM 6.3

1469605878423513694054776219104876419505678022712090848363393453573814295257181028724114896459585838343353373413493653974615898463593854375417501670006680026720106880427521710086840347361389445557782231128924515698062792251169<226>

26071551219031580026153049896113074077810681107439323014290726335060353951082069933526653420930686591179864987659378837553102738961189522963582055777569357163708117649714553259297670896467632256037767<200>

6112798743727451034344952873355902995893117<43>
4265076000708264456250230576835920033260249193640886718147641754564279050657716074053972201157950514128522542375883786498036481020428061347253629281701626451<157>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1546214024
Step 1 took 409571ms
Step 2 took 103549ms
********** Factor found in step 2: 6112798743727451034344952873355902995893117
Found probable prime factor of 43 digits: 6112798743727451034344952873355902995893117

4964290034971279108749438323940387231723567855868213479431201351023012381622873328966586347539842621554223547555131582394519859130021833091570174421772741758059983011376254744799212710132239784903591350157<205>

72109589530935872156967000685832507<35>

68843687327349708443096025784200434788593679296811535779439992960894640989824600854136614553639345402484508018342269868963347030762249995244786748613061096588293164948951<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1024648780
Step 1 took 27257ms
********** Factor found in step 1: 72109589530935872156967000685832507
Found probable prime factor of 35 digits: 72109589530935872156967000685832507

2441057171494116649606701455428789096930927600291004847550648514643978839001704457142400687889620950558507966294475616333821398574356576804695145480792720374539<160>

46916547122616605493599943773341709830982357035625652689998833422636290464883669065540556141066272069164443136724306901525541989217475225594067915040871041515478962496204165882071<179>

616449838138259196599592482638453<33>

76107647727363054743360849379926713736414124849044888918997293417303011801956417399626272718374584671690440680300358335561905422482973691826609307<146>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1791366523
Step 1 took 8977ms
********** Factor found in step 1: 616449838138259196599592482638453
Found probable prime factor of 33 digits: 616449838138259196599592482638453
Composite cofactor 76107647727363054743360849379926713736414124849044888918997293417303011801956417399626272718374584671690440680300358335561905422482973691826609307 has 146 digits

76107647727363054743360849379926713736414124849044888918997293417303011801956417399626272718374584671690440680300358335561905422482973691826609307<146>

14641269958840044560601338539504701936767088175687061<53>
5198158898874144345943640377285068088157830649647137186688857601450813204224120374388632735087<94>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1134593901
Step 1 took 60501ms
Step 2 took 24085ms
********** Factor found in step 2: 14641269958840044560601338539504701936767088175687061
Found probable prime factor of 53 digits: 14641269958840044560601338539504701936767088175687061

533682051298570505777664632996569767814617820266905647293108396998421453307999107028443931598879676253714415423678600435022252296198042053792266637170192153142801912026633845948375812805927299594090049<201>

12090254048543285636794511970582435643530773<44>

44141508454313420747070196915364630884603889881981530090783656646857413252920901811048468944811475297911739998251017681978752056318783432229362070220285030013<158>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2572136124
Step 1 took 75842ms
Step 2 took 23145ms
********** Factor found in step 2: 12090254048543285636794511970582435643530773
Found probable prime factor of 44 digits: 12090254048543285636794511970582435643530773

44141508454313420747070196915364630884603889881981530090783656646857413252920901811048468944811475297911739998251017681978752056318783432229362070220285030013<158>

1881501392491774017005546664030972460346924222971357690934663942826461<70>
23460789681295124953794036011033123319500218168232578721359255539633236160820233244908833<89>

p70 factor: 1881501392491774017005546664030972460346924222971357690934663942826461
p89 factor: 23460789681295124953794036011033123319500218168232578721359255539633236160820233244908833 

Complete log at: https://pastebin.com/wQdsxJVP

GGNFS + Msieve

3098883576446246829038218232869689692318627454590386782111171854414949617813613394920260295370505626761857471545770838491884597635292790277980571165748250002005614878875773408439736924306641494586393106911140887441892137<220>

32132213201939671242795822879559<32>

96441647420015927783329888182342977309452389226387984233180260836808585899255452472266057950477966887198409949424737519677127919867633206112327277353806879888994330501411397097945966652943<188>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1754889018
Step 1 took 11900ms
Step 2 took 7977ms
********** Factor found in step 2: 32132213201939671242795822879559
Found probable prime factor of 32 digits: 32132213201939671242795822879559
Composite cofactor 96441647420015927783329888182342977309452389226387984233180260836808585899255452472266057950477966887198409949424737519677127919867633206112327277353806879888994330501411397097945966652943 has 188 digits

96441647420015927783329888182342977309452389226387984233180260836808585899255452472266057950477966887198409949424737519677127919867633206112327277353806879888994330501411397097945966652943<188>

204130338253157105675746500051324527887<39>

472451318335697457478241068122412775304785606592656416208264447828569452851992517247204497248302581983826268369792961337678744679552043560141778233089<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3869579003
Step 1 took 23446ms
Step 2 took 9280ms
********** Factor found in step 2: 204130338253157105675746500051324527887
Found probable prime factor of 39 digits: 204130338253157105675746500051324527887

196474790787753138966462014736970193263185559015191780673370944270054160750462286521907977362089207267988809708542553393483715845985305163550376903238902855856344827974220994542101583992556444340929116637608371791<213>

10784040053350377834666323771796084063366207644226229707760134302157139379994691465167074195775449624023158359912060324421117015136314533280098001707746334171212324140144064333<176>