167240104470458055124590488709774157235332814262528043567026572606102362326631930866864933723934839299735358606449539738784433024762747405471596136913<150>

426025821355455446389763010023003055941548925213<48>
392558610504786654688393729054910640342523086700209153831898230820693281781582144438426033576662040901<102>

SNFS difficulty: 159 digits.
Divisors found:
 r1=426025821355455446389763010023003055941548925213 (pp48)
 r2=392558610504786654688393729054910640342523086700209153831898230820693281781582144438426033576662040901 (pp102)
Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density
Total time: 17.42 hours.
Scaled time: 41.81 units (timescale=2.400).
Factorization parameters were as follows:
n: 167240104470458055124590488709774157235332814262528043567026572606102362326631930866864933723934839299735358606449539738784433024762747405471596136913
m: 100000000000000000000000000
deg: 6
c6: 1000
c3: 120
c0: -1
skew: 0.32
type: snfs
lss: 0
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1937500, 3737501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 791872 x 792118
Total sieving time: 16.77 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,159.000,6,0,0,0,0,0,0,0,0,3100000,3100000,27,27,52,52,2.4,2.4,100000
total time: 17.42 hours.

25399338876940567053193857088974585978383050223211530660212951967872111800109174642254320142426379319496555371638909126999193549593<131>

1394266344613051853286626008085244891258073356323088967855259<61>
18216992022417064334261370191497132222936396020547663154608987304206427<71>

Number: 33733_80
N=25399338876940567053193857088974585978383050223211530660212951967872111800109174642254320142426379319496555371638909126999193549593
  ( 131 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1394266344613051853286626008085244891258073356323088967855259 (pp61)
 r2=18216992022417064334261370191497132222936396020547663154608987304206427 (pp71)
Version: Msieve-1.40
Total time: 51.19 hours.
Scaled time: 142.67 units (timescale=2.787).
Factorization parameters were as follows:
name: 33733_80
n: 25399338876940567053193857088974585978383050223211530660212951967872111800109174642254320142426379319496555371638909126999193549593
m: 100000000000000000000000000
deg: 6
c6: 100000
c3: 1200
c0: -1
skew: 0.15
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor 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, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 645050 x 645298
Total sieving time: 49.72 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.91 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,161.000,6,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 51.19 hours.
 --------- CPU info (if available) ----------

930389788834637608259598734574966771525585170960649754230873553865038132339704658138451603706816878545261505314021<114>

4227745367565887974796247246062702037371189<43>
220067602929054075673193596849831526925911878821819395072908186330843889<72>

Number: 114q
N=930389788834637608259598734574966771525585170960649754230873553865038132339704658138451603706816878545261505314021
  ( 114 digits)
Divisors found:
 r1=4227745367565887974796247246062702037371189 (pp43)
 r2=220067602929054075673193596849831526925911878821819395072908186330843889 (pp72)
Version: Msieve-1.40
Total time: 21.15 hours.
Scaled time: 40.16 units (timescale=1.899).
Factorization parameters were as follows:
name: 114q
n: 930389788834637608259598734574966771525585170960649754230873553865038132339704658138451603706816878545261505314021
skew: 17504.16
# norm 3.36e+015
c5: 110760
c4: 58609138
c3: -240003105893741
c2: 1112931436835988180
c1: 23106123746886492776384
c0: 54089451565081956850561112
# alpha -5.35
Y1: 675697248413
Y0: -6093353759872364501277
# Murphy_E 6.04e-010
# M 195426414190990444335484318547405095606835947810720177831793581372417922682658552365952590780966967545732755202140
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, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 549193 x 549421
Total sieving time: 20.43 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 21.15 hours.
 --------- CPU info (if available) ----------

3277146157600368231983082563043268325495424453012323996704668849386586347532632772190705310737332380458512930071929123345409210485223<133>

173811085435754218308321654785608127<36>
18854644106182166275597834630986640699422693815927526253212566608658449423174189936197044416281049<98>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4088350251
Step 1 took 5180ms
Step 2 took 2772ms
********** Factor found in step 2: 173811085435754218308321654785608127
Found probable prime factor of 36 digits: 173811085435754218308321654785608127
Probable prime cofactor 18854644106182166275597834630986640699422693815927526253212566608658449423174189936197044416281049 has 98 digits

1729831462520606617297276726328553809002388897249740957738487539159059732810232299067309472038139324085654334698170357262091954380884670406562288636218173263378948989<166>

33113517111925343008813227293918192088928045055206329704005017981954628057819060859<83>
52239436139437855809870659864406650509159044472557888669032916311669207961537492071<83>

N=1729831462520606617297276726328553809002388897249740957738487539159059732810232299067309472038139324085654334698170357262091954380884670406562288636218173263378948989
  ( 166 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=33113517111925343008813227293918192088928045055206329704005017981954628057819060859 (pp83)
 r2=52239436139437855809870659864406650509159044472557888669032916311669207961537492071 (pp83)
Version: Msieve-1.40
Total time: 135.02 hours.
Scaled time: 266.80 units (timescale=1.976).
Factorization parameters were as follows:
n: 1729831462520606617297276726328553809002388897249740957738487539159059732810232299067309472038139324085654334698170357262091954380884670406562288636218173263378948989
m: 10000000000000000000000000000
deg: 6
c6: 1000
c3: 120
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 939171 x 939402
Total sieving time: 133.83 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.95 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,171.000,6,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 135.02 hours.
 --------- CPU info (if available) ----------

31103352345488956764965630223776446802442009419562166916817662446491377612777134466928713779346981375835378895089025681616428839523732572067443151091857417604756539<164>

13198133540630491150009353134844137754799411039447846429819<59>
2356647797943337917209263622959392260035684658412834676491536009055567769080725764714723555991081140994881<106>

Number: 33733_87
N=31103352345488956764965630223776446802442009419562166916817662446491377612777134466928713779346981375835378895089025681616428839523732572067443151091857417604756539
  ( 164 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=13198133540630491150009353134844137754799411039447846429819
 r2=2356647797943337917209263622959392260035684658412834676491536009055567769080725764714723555991081140994881
Version: 
Total time: 325.74 hours.
Scaled time: 371.67 units (timescale=1.141).
Factorization parameters were as follows:
n: 31103352345488956764965630223776446802442009419562166916817662446491377612777134466928713779346981375835378895089025681616428839523732572067443151091857417604756539
m: 100000000000000000000000000000
deg: 6
c6: 10
c3: 12
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 4600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 744298 x 744546
Total sieving time: 325.74 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,175,6,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 325.74 hours.
 --------- CPU info (if available) ----------

398380875333303361388104852628825950980142249189769052388078471406396618937782449471011584901825019772909688459610850702977313411615724054459158204279<150>

2920776513319284311284134708193642689959383349667976283<55>
136395535062889081412344014232578511702585510384808210588869890578925144285280389042676375432213<96>

N=398380875333303361388104852628825950980142249189769052388078471406396618937782449471011584901825019772909688459610850702977313411615724054459158204279
  ( 150 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=2920776513319284311284134708193642689959383349667976283 (pp55)
 r2=136395535062889081412344014232578511702585510384808210588869890578925144285280389042676375432213 (pp96)
Version: Msieve-1.40
Total time: 191.19 hours.
Scaled time: 317.00 units (timescale=1.658).
Factorization parameters were as follows:
n: 398380875333303361388104852628825950980142249189769052388078471406396618937782449471011584901825019772909688459610850702977313411615724054459158204279
m: 1000000000000000000000000000000
deg: 6
c6: 10
c3: 12
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 6770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1228664 x 1228892
Total sieving time: 188.89 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.97 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,181.000,6,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 191.19 hours.
 --------- CPU info (if available) ----------

583257747580961599121776556388584939361066688763811045411635789439332158781257984196533027040067269498519759619938654582881173037148272123300340590282682253045910879656244673<174>

19385884445129705596178550880906208421112281873862091463850511<62>
30086723627793665139458860829876509202280366553542948792608981845631223873366736298204976944103618499436471165743<113>

N=583257747580961599121776556388584939361066688763811045411635789439332158781257984196533027040067269498519759619938654582881173037148272123300340590282682253045910879656244673
  ( 174 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=19385884445129705596178550880906208421112281873862091463850511 (pp62)
 r2=30086723627793665139458860829876509202280366553542948792608981845631223873366736298204976944103618499436471165743 (pp113)
Version: Msieve-1.40
Total time: 314.27 hours.
Scaled time: 611.57 units (timescale=1.946).
Factorization parameters were as follows:
n: 583257747580961599121776556388584939361066688763811045411635789439332158781257984196533027040067269498519759619938654582881173037148272123300340590282682253045910879656244673
m: 1000000000000000000000000000000
deg: 6
c6: 100000
c3: 1200
c0: -1
skew: 0.15
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4250000, 9050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1592600 x 1592825
Total sieving time: 307.30 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.60 hours.
Time per square root: 3.17 hours.
Prototype def-par.txt line would be:
snfs,185.000,6,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 314.27 hours.
 --------- CPU info (if available) ----------

1672799741502022273661987731268907620405779064098751763141195113969940762394584470045314890825879602910532208956236845291010137797846887608531<142>

38648535994698137506831097466457924894771<41>
3884171109817759129802204839335601758005377073<46>
11143267382020109345140171339257256012487720526549287857<56>

GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]
Input number is 1672799741502022273661987731268907620405779064098751763141195113969940762394584470045314890825879602910532208956236845291010137797846887608531 (142 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2099868261
Step 1 took 8821ms
Step 2 took 3801ms
********** Factor found in step 2: 38648535994698137506831097466457924894771
Found probable prime factor of 41 digits: 38648535994698137506831097466457924894771
Composite cofactor 43282357234217083412888420969686551654933615501585175532042534689558706237370802086332106564905102561 has 101 digits

GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]
Input number is 43282357234217083412888420969686551654933615501585175532042534689558706237370802086332106564905102561 (101 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1136659690
Step 1 took 5954ms
Step 2 took 2901ms
********** Factor found in step 2: 3884171109817759129802204839335601758005377073
Found probable prime factor of 46 digits: 3884171109817759129802204839335601758005377073
Probable prime cofactor 11143267382020109345140171339257256012487720526549287857 has 56 digits

Core i7 980

186881941943654119934845698547636172708808053681155454334484835098622794904881233380974477267998741592470507658802904025933141607<129>

348336967788067281979190115052388873149552897602265339<54>
536497584882680357115103300699139308351021616249978746393190905065648839813<75>

Thu Jun  2 08:57:29 2011  Msieve v. 1.49 (SVN 575)
Thu Jun  2 08:57:29 2011  random seeds: fd298bae 8bb1b9da
Thu Jun  2 08:57:29 2011  factoring 186881941943654119934845698547636172708808053681155454334484835098622794904881233380974477267998741592470507658802904025933141607 (129 digits)
Thu Jun  2 08:57:30 2011  searching for 15-digit factors
Thu Jun  2 08:57:30 2011  commencing number field sieve (129-digit input)
Thu Jun  2 08:57:30 2011  R0: -6625284115579008495354478
Thu Jun  2 08:57:30 2011  R1:  100971777892219
Thu Jun  2 08:57:30 2011  A0: -6346951751478354306479663987535
Thu Jun  2 08:57:30 2011  A1:  508394696888292821897524628
Thu Jun  2 08:57:30 2011  A2: -1754872772335357267745
Thu Jun  2 08:57:30 2011  A3: -18326782157654224
Thu Jun  2 08:57:30 2011  A4:  8242139724
Thu Jun  2 08:57:30 2011  A5:  14640
Thu Jun  2 08:57:30 2011  skew 386445.29, size 2.556e-12, alpha -6.943, combined = 1.019e-10 rroots = 5
Thu Jun  2 08:57:30 2011  
Thu Jun  2 08:57:30 2011  commencing relation filtering
Thu Jun  2 08:57:30 2011  estimated available RAM is 16080.1 MB
Thu Jun  2 08:57:30 2011  commencing duplicate removal, pass 1
Thu Jun  2 09:00:29 2011  error -15 reading relation 18550387
Thu Jun  2 09:02:03 2011  error -15 reading relation 28350968
Thu Jun  2 09:03:40 2011  error -15 reading relation 38245971
Thu Jun  2 09:05:17 2011  error -11 reading relation 48155083
Thu Jun  2 09:06:54 2011  skipped 1 relations with b > 2^32
Thu Jun  2 09:06:54 2011  found 4480650 hash collisions in 58061681 relations
Thu Jun  2 09:07:55 2011  added 122621 free relations
Thu Jun  2 09:07:55 2011  commencing duplicate removal, pass 2
Thu Jun  2 09:11:08 2011  found 1941981 duplicates and 56242321 unique relations
Thu Jun  2 09:11:08 2011  memory use: 197.2 MB
Thu Jun  2 09:11:08 2011  reading ideals above 720000
Thu Jun  2 09:11:08 2011  commencing singleton removal, initial pass
Thu Jun  2 09:23:28 2011  memory use: 1506.0 MB
Thu Jun  2 09:23:28 2011  reading all ideals from disk
Thu Jun  2 09:23:29 2011  memory use: 1758.6 MB
Thu Jun  2 09:23:40 2011  keeping 57721130 ideals with weight <= 200, target excess is 436037
Thu Jun  2 09:23:53 2011  commencing in-memory singleton removal
Thu Jun  2 09:24:03 2011  begin with 56242320 relations and 57721130 unique ideals
Thu Jun  2 09:25:24 2011  reduce to 21218533 relations and 16650127 ideals in 15 passes
Thu Jun  2 09:25:24 2011  max relations containing the same ideal: 107
Thu Jun  2 09:25:42 2011  removing 5003846 relations and 4003846 ideals in 1000000 cliques
Thu Jun  2 09:25:44 2011  commencing in-memory singleton removal
Thu Jun  2 09:25:46 2011  begin with 16214687 relations and 16650127 unique ideals
Thu Jun  2 09:26:09 2011  reduce to 15627758 relations and 12027403 ideals in 8 passes
Thu Jun  2 09:26:09 2011  max relations containing the same ideal: 92
Thu Jun  2 09:26:22 2011  removing 3645099 relations and 2645099 ideals in 1000000 cliques
Thu Jun  2 09:26:23 2011  commencing in-memory singleton removal
Thu Jun  2 09:26:24 2011  begin with 11982659 relations and 12027403 unique ideals
Thu Jun  2 09:26:42 2011  reduce to 11523963 relations and 8896159 ideals in 9 passes
Thu Jun  2 09:26:42 2011  max relations containing the same ideal: 73
Thu Jun  2 09:26:51 2011  removing 3171171 relations and 2171171 ideals in 1000000 cliques
Thu Jun  2 09:26:52 2011  commencing in-memory singleton removal
Thu Jun  2 09:26:53 2011  begin with 8352792 relations and 8896159 unique ideals
Thu Jun  2 09:27:03 2011  reduce to 7863696 relations and 6196218 ideals in 8 passes
Thu Jun  2 09:27:03 2011  max relations containing the same ideal: 56
Thu Jun  2 09:27:09 2011  removing 2823677 relations and 1823677 ideals in 1000000 cliques
Thu Jun  2 09:27:10 2011  commencing in-memory singleton removal
Thu Jun  2 09:27:10 2011  begin with 5040019 relations and 6196218 unique ideals
Thu Jun  2 09:27:18 2011  reduce to 4411061 relations and 3659207 ideals in 11 passes
Thu Jun  2 09:27:18 2011  max relations containing the same ideal: 40
Thu Jun  2 09:27:21 2011  removing 979335 relations and 733284 ideals in 246051 cliques
Thu Jun  2 09:27:21 2011  commencing in-memory singleton removal
Thu Jun  2 09:27:22 2011  begin with 3431726 relations and 3659207 unique ideals
Thu Jun  2 09:27:25 2011  reduce to 3296758 relations and 2783800 ideals in 8 passes
Thu Jun  2 09:27:25 2011  max relations containing the same ideal: 32
Thu Jun  2 09:27:28 2011  relations with 0 large ideals: 24880
Thu Jun  2 09:27:28 2011  relations with 1 large ideals: 203159
Thu Jun  2 09:27:28 2011  relations with 2 large ideals: 645465
Thu Jun  2 09:27:28 2011  relations with 3 large ideals: 1028226
Thu Jun  2 09:27:28 2011  relations with 4 large ideals: 870829
Thu Jun  2 09:27:28 2011  relations with 5 large ideals: 401558
Thu Jun  2 09:27:28 2011  relations with 6 large ideals: 106484
Thu Jun  2 09:27:28 2011  relations with 7+ large ideals: 16157
Thu Jun  2 09:27:28 2011  commencing 2-way merge
Thu Jun  2 09:27:30 2011  reduce to 2072157 relation sets and 1559199 unique ideals
Thu Jun  2 09:27:30 2011  commencing full merge
Thu Jun  2 09:27:51 2011  memory use: 148.6 MB
Thu Jun  2 09:27:51 2011  found 1026249 cycles, need 951399
Thu Jun  2 09:27:51 2011  weight of 951399 cycles is about 66934851 (70.35/cycle)
Thu Jun  2 09:27:51 2011  distribution of cycle lengths:
Thu Jun  2 09:27:51 2011  1 relations: 93390
Thu Jun  2 09:27:51 2011  2 relations: 99144
Thu Jun  2 09:27:51 2011  3 relations: 108513
Thu Jun  2 09:27:51 2011  4 relations: 106508
Thu Jun  2 09:27:51 2011  5 relations: 101440
Thu Jun  2 09:27:51 2011  6 relations: 92179
Thu Jun  2 09:27:51 2011  7 relations: 81018
Thu Jun  2 09:27:51 2011  8 relations: 68967
Thu Jun  2 09:27:51 2011  9 relations: 56925
Thu Jun  2 09:27:51 2011  10+ relations: 143315
Thu Jun  2 09:27:51 2011  heaviest cycle: 15 relations
Thu Jun  2 09:27:52 2011  commencing cycle optimization
Thu Jun  2 09:27:53 2011  start with 5360685 relations
Thu Jun  2 09:28:02 2011  pruned 152324 relations
Thu Jun  2 09:28:02 2011  memory use: 178.2 MB
Thu Jun  2 09:28:02 2011  distribution of cycle lengths:
Thu Jun  2 09:28:02 2011  1 relations: 93390
Thu Jun  2 09:28:02 2011  2 relations: 101693
Thu Jun  2 09:28:02 2011  3 relations: 112717
Thu Jun  2 09:28:02 2011  4 relations: 110420
Thu Jun  2 09:28:02 2011  5 relations: 105443
Thu Jun  2 09:28:02 2011  6 relations: 94612
Thu Jun  2 09:28:02 2011  7 relations: 83038
Thu Jun  2 09:28:02 2011  8 relations: 69460
Thu Jun  2 09:28:02 2011  9 relations: 56405
Thu Jun  2 09:28:02 2011  10+ relations: 124221
Thu Jun  2 09:28:02 2011  heaviest cycle: 15 relations
Thu Jun  2 09:28:03 2011  RelProcTime: 1833
Thu Jun  2 09:28:03 2011  
Thu Jun  2 09:28:03 2011  commencing linear algebra
Thu Jun  2 09:28:04 2011  read 951399 cycles
Thu Jun  2 09:28:05 2011  cycles contain 2951714 unique relations
Thu Jun  2 09:31:40 2011  read 2951714 relations
Thu Jun  2 09:31:45 2011  using 20 quadratic characters above 1073663244
Thu Jun  2 09:31:59 2011  building initial matrix
Thu Jun  2 09:32:36 2011  memory use: 389.8 MB
Thu Jun  2 09:32:37 2011  read 951399 cycles
Thu Jun  2 09:32:37 2011  matrix is 951121 x 951399 (284.0 MB) with weight 90511433 (95.14/col)
Thu Jun  2 09:32:37 2011  sparse part has weight 63973736 (67.24/col)
Thu Jun  2 09:32:53 2011  filtering completed in 3 passes
Thu Jun  2 09:32:53 2011  matrix is 947066 x 947266 (283.3 MB) with weight 90259581 (95.28/col)
Thu Jun  2 09:32:53 2011  sparse part has weight 63840817 (67.39/col)
Thu Jun  2 09:32:55 2011  matrix starts at (0, 0)
Thu Jun  2 09:32:55 2011  matrix is 947066 x 947266 (283.3 MB) with weight 90259581 (95.28/col)
Thu Jun  2 09:32:55 2011  sparse part has weight 63840817 (67.39/col)
Thu Jun  2 09:32:55 2011  saving the first 48 matrix rows for later
Thu Jun  2 09:32:56 2011  matrix includes 64 packed rows
Thu Jun  2 09:32:56 2011  matrix is 947018 x 947266 (274.5 MB) with weight 71445261 (75.42/col)
Thu Jun  2 09:32:56 2011  sparse part has weight 62496482 (65.98/col)
Thu Jun  2 09:32:56 2011  using block size 262144 for processor cache size 6144 kB
Thu Jun  2 09:32:57 2011  commencing Lanczos iteration (4 threads)
Thu Jun  2 09:32:57 2011  memory use: 317.4 MB
Thu Jun  2 09:33:14 2011  linear algebra at 0.3%, ETA 1h23m
Thu Jun  2 11:00:22 2011  lanczos halted after 14978 iterations (dim = 947017)
Thu Jun  2 11:00:23 2011  recovered 28 nontrivial dependencies
Thu Jun  2 11:00:23 2011  BLanczosTime: 5540
Thu Jun  2 11:00:23 2011  
Thu Jun  2 11:00:23 2011  commencing square root phase
Thu Jun  2 11:00:23 2011  reading relations for dependency 1
Thu Jun  2 11:00:24 2011  read 473171 cycles
Thu Jun  2 11:00:25 2011  cycles contain 1472188 unique relations
Thu Jun  2 11:05:04 2011  read 1472188 relations
Thu Jun  2 11:05:11 2011  multiplying 1472188 relations
Thu Jun  2 11:07:31 2011  multiply complete, coefficients have about 69.14 million bits
Thu Jun  2 11:07:32 2011  initial square root is modulo 91781
Thu Jun  2 11:11:00 2011  GCD is N, no factor found
Thu Jun  2 11:11:00 2011  reading relations for dependency 2
Thu Jun  2 11:11:00 2011  read 473555 cycles
Thu Jun  2 11:11:01 2011  cycles contain 1474950 unique relations
Thu Jun  2 11:15:28 2011  read 1474950 relations
Thu Jun  2 11:15:34 2011  multiplying 1474950 relations
Thu Jun  2 11:17:57 2011  multiply complete, coefficients have about 69.27 million bits
Thu Jun  2 11:17:58 2011  initial square root is modulo 93809
Thu Jun  2 11:21:38 2011  sqrtTime: 1275
Thu Jun  2 11:21:38 2011  prp54 factor: 348336967788067281979190115052388873149552897602265339
Thu Jun  2 11:21:38 2011  prp75 factor: 536497584882680357115103300699139308351021616249978746393190905065648839813
Thu Jun  2 11:21:38 2011  elapsed time 02:24:09

77339520494972931167826759474091260634184068058778035576179427687548337200309358081979891724672235112142304717710750193348801237432327919566898685228151585460170146945088940448569218870843<188>

39902387823073173350023529194231689248785469<44>

1938217853976450367537090815950799111635088563248400134339820745876833278101894813423088013058770778510394406283453496596592825274151663212940247<145>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1615333829
Step 1 took 50563ms
Step 2 took 25865ms
********** Factor found in step 2: 39902387823073173350023529194231689248785469
Found probable prime factor of 44 digits: 39902387823073173350023529194231689248785469
Composite cofactor has 145 digits

1938217853976450367537090815950799111635088563248400134339820745876833278101894813423088013058770778510394406283453496596592825274151663212940247<145>

2606376798041584317086094135013869192613072980204050363459441<61>
743644531916035886044805993376952733108320632802666300025683792424234311553437389767<84>

Number: 33733_95
N=1938217853976450367537090815950799111635088563248400134339820745876833278101894813423088013058770778510394406283453496596592825274151663212940247
  ( 145 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=2606376798041584317086094135013869192613072980204050363459441
 r2=743644531916035886044805993376952733108320632802666300025683792424234311553437389767
Version: 
Total time: 168.08 hours.
Scaled time: 618.38 units (timescale=3.679).
Factorization parameters were as follows:
n: 1938217853976450367537090815950799111635088563248400134339820745876833278101894813423088013058770778510394406283453496596592825274151663212940247
m: 100000000000000000000000000000000
deg: 6
c6: 1
c3: 12
c0: -10
skew: 1.47
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [6000000, 11800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21099206
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1962395 x 1962643
Total sieving time: 157.57 hours.
Total relation processing time: 2.26 hours.
Matrix solve time: 8.11 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,192,6,0,0,0,0,0,0,0,0,12000000,12000000,28,28,54,54,2.5,2.5,100000
total time: 168.08 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 24581152k/26214400k available (5084k kernel code, 1057684k absent, 575564k reserved, 7229k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.70 BogoMIPS (lpj=3333351)
Total of 12 processors activated (79997.61 BogoMIPS).

GGNFS / Msieve v1.39

Core i7 980

22667679889603309739694648326772728700501172958314218867888280087121115193318971399287779042521793230791671789876760365304262256448620373555561985334841284165163948089187<170>

29038042203492816551483463446475884644629089591<47>
135332719562496540652617961038472767426702589077763467469<57>
5768155100148103960758768076320852868972858640032852157044759289353<67>

Number: 33733_97
N=22667679889603309739694648326772728700501172958314218867888280087121115193318971399287779042521793230791671789876760365304262256448620373555561985334841284165163948089187
  ( 170 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=29038042203492816551483463446475884644629089591
 r2=135332719562496540652617961038472767426702589077763467469
 r3=5768155100148103960758768076320852868972858640032852157044759289353
Version: 
Total time: 268.36 hours.
Scaled time: 984.62 units (timescale=3.669).
Factorization parameters were as follows:
n: 22667679889603309739694648326772728700501172958314218867888280087121115193318971399287779042521793230791671789876760365304262256448620373555561985334841284165163948089187
m: 100000000000000000000000000000000
deg: 6
c6: 1000
c3: 120
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 16500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34578026
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2742707 x 2742953
Total sieving time: 243.77 hours.
Total relation processing time: 5.97 hours.
Matrix solve time: 17.98 hours.
Time per square root: 0.65 hours.
Prototype def-par.txt line would be:
snfs,195,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 268.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 24581152k/26214400k available (5084k kernel code, 1057684k absent, 575564k reserved, 7229k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.81 BogoMIPS (lpj=3333405)
Total of 12 processors activated (79997.71 BogoMIPS).

GGNFS / Msieve v1.39

Core i7 980

17950553047564118926722072843703278076145887016706041204776498561532431533449329807126692669837811583455980487030815175900161896037935980788600106374977359864968759755003671785625879240526461<191>

265134528086676730824980335327650551960861445967165313927611<60>
67703566099454972352859113069991875193472318812897328820984666431102521359713238439893202011016770205954157564430491608235655085351<131>

Number: n
N=17950553047564118926722072843703278076145887016706041204776498561532431533449329807126692669837811583455980487030815175900161896037935980788600106374977359864968759755003671785625879240526461
  ( 191 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Jan  4 14:30:31 2012  prp60 factor: 265134528086676730824980335327650551960861445967165313927611
Wed Jan  4 14:30:31 2012  prp131 factor: 67703566099454972352859113069991875193472318812897328820984666431102521359713238439893202011016770205954157564430491608235655085351
Wed Jan  4 14:30:31 2012  elapsed time 05:34:18 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.649).
Factorization parameters were as follows:
name: KA_3_98_7_3_98
n: 17950553047564118926722072843703278076145887016706041204776498561532431533449329807126692669837811583455980487030815175900161896037935980788600106374977359864968759755003671785625879240526461
m: 100000000000000000000000000000000
deg: 6
c6: 100000
c3: 1200
c0: -1
skew: 0.15
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, 21300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9632569 hash collisions in 65387065 relations
Msieve: matrix is 1776784 x 1777009 (502.5 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,197,6,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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).

3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<199>

15504370541453652479560236759221376292370199683<47>
214993141735169599459376608952822410332799454244028195587850738897690627924795656966618695863921011170722415031910858565819040039623524339545493557876551<153>

SNFS difficulty: 199 digits.
Divisors found:
 r1=15504370541453652479560236759221376292370199683 (pp47)
 r2=214993141735169599459376608952822410332799454244028195587850738897690627924795656966618695863921011170722415031910858565819040039623524339545493557876551 (pp153)
Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density
Total time: 320.19 hours.
Scaled time: 768.45 units (timescale=2.400).
Factorization parameters were as follows:
n: 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 1000000000000000000000000000000000
c6: 10
c3: 12
c0: -1
skew: 0.68
type: snfs
lss: 0
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [9062500, 17562501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2672909 x 2673135
Total sieving time: 314.78 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 4.72 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
snfs,199.000,6,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 320.19 hours.

1704464976498961952325781654522530467089605153114420733818426845098902894380463517810237551818675541555728010433904730893787212678882956935991227286245809896177691727147471556928623<181>

3175337714928851184284689469108090187610458258359374482284506988585609317<73>
536782266807533375991195158761471433322647959748376746076635313935673662627908263148645287228643942416394819<108>

Number: 33733_100
N=1704464976498961952325781654522530467089605153114420733818426845098902894380463517810237551818675541555728010433904730893787212678882956935991227286245809896177691727147471556928623
  ( 181 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=3175337714928851184284689469108090187610458258359374482284506988585609317
 r2=536782266807533375991195158761471433322647959748376746076635313935673662627908263148645287228643942416394819
Version: 
Total time: 404.54 hours.
Scaled time: 1486.67 units (timescale=3.675).
Factorization parameters were as follows:
n: 1704464976498961952325781654522530467089605153114420733818426845098902894380463517810237551818675541555728010433904730893787212678882956935991227286245809896177691727147471556928623
m: 1000000000000000000000000000000000
deg: 6
c6: 1000
c3: 120
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 21800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39118741
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3532433 x 3532680
Total sieving time: 362.81 hours.
Total relation processing time: 9.37 hours.
Matrix solve time: 31.87 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 404.54 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 24581152k/26214400k available (5084k kernel code, 1057684k absent, 575564k reserved, 7229k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.81 BogoMIPS (lpj=3333405)
Total of 12 processors activated (79997.71 BogoMIPS).

GGNFS / Msieve v1.39

Core i7 980

207404303023680581630748679584109119909216023638201881072873792702960694322420574551373258054313920647567206375096379071697667805924501086051011316678681329098935189145307803<174>

81468225917496260028184835431106748003386111287<47>
2545830606814994695327002865389411135691020023347868643462834057249465920148687715014066085249341600186671397779432735170267069<127>

Number: n
N=207404303023680581630748679584109119909216023638201881072873792702960694322420574551373258054313920647567206375096379071697667805924501086051011316678681329098935189145307803  ( 174 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Feb 19 05:36:56 2022  p47 factor: 81468225917496260028184835431106748003386111287
Sat Feb 19 05:36:56 2022  p127 factor: 2545830606814994695327002865389411135691020023347868643462834057249465920148687715014066085249341600186671397779432735170267069
Sat Feb 19 05:36:56 2022  elapsed time 01:58:10 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 10^205+12x10^102-1 = 3(102)73(102)
#
n: 207404303023680581630748679584109119909216023638201881072873792702960694322420574551373258054313920647567206375096379071697667805924501086051011316678681329098935189145307803
m: 10000000000000000000000000000000000
deg: 6
c6: 10
c3: 12
c0: -1
skew: 0.68
# Murphy_E = 1.002e-11
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4675317 hash collisions in 33722466 relations (29791745 unique)
Msieve: matrix is 2237495 x 2237720 (778.7 MB)

Sieving start time : 2022/02/18 11:13:19
Sieving end time  : 2022/02/19 03:37:04
Total sieving time: 16hrs 23min 45secs.

Total relation processing time: 1hrs 42min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 20sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18300000,18300000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376)
[    0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

480260579498903835091794004024168798670441700353786381532686988639404520219986811626355398772562007325596955728453643900752143679463268207750015854372299323150927974771919211<174>

38822232651316698123616303288307976150675256324177<50>
12370761460639880964931175678059168761196235897361910156367079884794385412761637484866577341545716940522893784361543634094843<125>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4008355929
Step 1 took 281995ms
********** Factor found in step 1: 38822232651316698123616303288307976150675256324177
Found probable prime factor of 50 digits: 38822232651316698123616303288307976150675256324177

144964584994014612513705901478599057394091047014021381662569741320781328764104387668684002745935240806917828172463695026591239243<129>

680390655394890230482655055093065423<36>
213060811233333267428479696349029839344746151514064582657079989851084863311693075459327910341<93>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3377576890
Step 1 took 17623ms
Step 2 took 7911ms
********** Factor found in step 2: 680390655394890230482655055093065423
Found probable prime factor of 36 digits: 680390655394890230482655055093065423

8927707817442313384893518544640264315196408892257238148760531864070407688283727504355756522099217863315314115027832033784002342310449142345052660731322422373365944216009680159062149<181>

64151237316087232025312445123374170792832910899<47>
139166572477059743994798952011821567279498304008186737865797914608347837741469328245164846143845373811575444953394760604107315237723751<135>

Y:\ALL\ECM>ecm-svn3038-skylake\ecm -primetest -one -sigma 1:2889282799 43e6      
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 8927707817442313384893518544640264315196408892257238148760531864070407688283727504355756522099217863315314115027832033784002342310449142345052660731322422373365944216009680159062149 (181 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2889282799
Step 1 took 69359ms
********** Factor found in step 1: 64151237316087232025312445123374170792832910899
Found prime factor of 47 digits: 64151237316087232025312445123374170792832910899
Prime cofactor 139166572477059743994798952011821567279498304008186737865797914608347837741469328245164846143845373811575444953394760604107315237723751 has 135 digits

267555543062346657252730307028243249071075225649642649664653600925733729581247828894594664771553844011594035225670373919133954241142928590801477603703081350101176260809603428562339140974351<189>

3129999922513030935130216777<28>

85481006289460302631974489291967517900560927493105419265469768007272136880347416548778225914677196097287186840483773027919951621818847016766705530889187222906263<161>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2981472417
Step 1 took 8502ms
Step 2 took 47ms
********** Factor found in step 2: 3129999922513030935130216777
Found probable prime factor of 28 digits: 3129999922513030935130216777
Composite cofactor 85481006289460302631974489291967517900560927493105419265469768007272136880347416548778225914677196097287186840483773027919951621818847016766705530889187222906263 has 161 digits

GMP-ECM 6.3

85481006289460302631974489291967517900560927493105419265469768007272136880347416548778225914677196097287186840483773027919951621818847016766705530889187222906263<161>

129744269864669816687603497946093834395080308193289<51>
658842246972614240989059354012346435261486769660791529326191750170141107004812788113537349796551279802508843167<111>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2781673066
Step 1 took 299315ms
Step 2 took 82027ms
********** Factor found in step 2: 129744269864669816687603497946093834395080308193289
Found probable prime factor of 51 digits: 129744269864669816687603497946093834395080308193289
Probable prime cofactor 658842246972614240989059354012346435261486769660791529326191750170141107004812788113537349796551279802508843167 has 111 digits

375925201772092269870907649236070621080772495112845811505217629328395925736027693189393823613312145874741322647233972154952826032603121021881047358830755234216497021011567710219502232969981333<192>

136202743880011598428849148090254549<36>

2760041325623110917668039135308788141471092615473126065476421794040329722417243407466127400984046688065999932469234463164420935581155475533358705285153646017<157>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2557212618
Step 1 took 8549ms
Step 2 took 5382ms
********** Factor found in step 2: 136202743880011598428849148090254549
Found probable prime factor of 36 digits: 136202743880011598428849148090254549
Composite cofactor 2760041325623110917668039135308788141471092615473126065476421794040329722417243407466127400984046688065999932469234463164420935581155475533358705285153646017 has 157 digits

GMP-ECM 6.3

2760041325623110917668039135308788141471092615473126065476421794040329722417243407466127400984046688065999932469234463164420935581155475533358705285153646017<157>

46196772367293774071473939526988111314837769825977<50>
59745328173124820275803351590697110963859111783041002367546334688918100182883912954909904150679104694856521<107>

Number: 33733_109
N = 2760041325623110917668039135308788141471092615473126065476421794040329722417243407466127400984046688065999932469234463164420935581155475533358705285153646017 (157 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=46196772367293774071473939526988111314837769825977 (pp50)
r2=59745328173124820275803351590697110963859111783041002367546334688918100182883912954909904150679104694856521 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 40.50 hours.
Factorization parameters were as follows:
n: 2760041325623110917668039135308788141471092615473126065476421794040329722417243407466127400984046688065999932469234463164420935581155475533358705285153646017
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c2: 12
c0: -10
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 29274640
Relations: 9227762 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.70 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 7795626 x 7795851
Matrix solve time: 27.41 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,29,58,58,2.8,2.8,100000
total time: 40.50 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333733333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<227>

131186406017052301782653209017067866509<39>

254091367736688286515907841745697946078495354733545652027466266094778410493816635222881499494652982944016774661048102838540176165701762792752935888593529713687755337785557139816260684002537<189>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3379620135
Step 1 took 43053ms
Step 2 took 14585ms
********** Factor found in step 2: 131186406017052301782653209017067866509
Found probable prime factor of 39 digits: 131186406017052301782653209017067866509

80663151927226897607212612522253082527441347585531950205380021536808863277452772524235352494527471673826468335678693004597199843544214725820031512918827950982466311664137754652863655070633617472330548577973<206>

62648770502383001950817478142921173883290770734761059126458898824750105288748477094893523755646995806970803354861426825018631433832065511991751587568186048919711810028812128363722447341462221724421198429<203>

17226290492983539034338591734085266250472074585148199913985410408800005215456264531840023218817860314805508298916902633155756530337102772533462461663002023881<158>

2904585321459706042246787010797354800127505317715569092425503172924590670375513851791399718025445343397343323504102768081876186285954623209150291304897<151>

12177761339245064295072223347700781446711<41>
238515539970318546212411544171507046281929427197752297300489996403058942137182642516820736573878272867498486727<111>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=484088833
Step 1 took 22596ms
Step 2 took 9047ms
********** Factor found in step 2: 12177761339245064295072223347700781446711
Found probable prime factor of 41 digits: 12177761339245064295072223347700781446711

34175129308693078771817347016084534861675190131879465918324291158007886738126110198299103130803759295665075202662532378284738708802988038181862478999425758719738961066705030299823433169172757947733042522120988768101109279927940782949<233>

5154124847465318575875909299259407920785063338000727627008011930955397673372273303683836140037099541129055867435883533010164707885527873438963243852707167154579360820732885823722764907910718185783247<199>

43067909384149705056308798685189157<35>
119674368251601100699438665068186895643407946703079972655650711926296452821720551739604728791151689255315376940506201684686520853157167365829917584063939927283558371<165>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3918110710
Step 1 took 9969ms
********** Factor found in step 1: 43067909384149705056308798685189157
Found probable prime factor of 35 digits: 43067909384149705056308798685189157
Probable prime cofactor 119674368251601100699438665068186895643407946703079972655650711926296452821720551739604728791151689255315376940506201684686520853157167365829917584063939927283558371 has 165 digits

GMP-ECM 6.3

893644227335681733134018708708495702827627145379022160296216462547003196979813289068992544921920562543351517809653062103351363782788769986136415327774219522605418253353376748154357965644259032414253511374500296585599964083<222>

61974481530493607045675395170906506440290372624433313996111934152076652511641617428201029718080621721861141139251824209610216678218154692006030128642191498347810558082863859050835901687<185>

290109151929992628674452771993318215428079839213066770581195537462536803492795977202277617443420658248864538252670052866236477294977545612803689192067264660047641672105736690140620713593964637<192>

4180311686169442002658915138790618108178813757193863790968663096290565709963978799506664916072363774836561408745644739162949321342301735511037921424210957970875162660437315160881477615311922205133848970261765978888214445222547<226>

333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<255>

266501866937838985282862809788419<33>
1250772976427525930723938457835415778468040820772303610336209741096046421317304427860837598708992320109430083674747233361652038189416077034800853971281562623985601448751498029315421680770654848769638722757621116775446577607<223>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1488278647
Step 1 took 55458ms
Step 2 took 17000ms
********** Factor found in step 2: 266501866937838985282862809788419
Found probable prime factor of 33 digits: 266501866937838985282862809788419

466667266260983584749204595434557928833346073879189938493902876629007468813771428104397190833091308946124917603653258521457852280913702598287261060481891599374706196024503343123167249115985197112657699837017072876942456456926608084948053310517<243>

290634560907080078006005835748041471323<39>

1605684006762649323748506182314457391771400657298730036272154925982027223673069213807968758135556824703183975793559897247784738406944060389956155664253723306739854560806901517605744285941172761863104412079<205>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1423886835
Step 1 took 49243ms
Step 2 took 16047ms
********** Factor found in step 2: 290634560907080078006005835748041471323
Found probable prime factor of 39 digits: 290634560907080078006005835748041471323

122395631397648679223384753377706382657884620262333907691634947519839454220887973746635929683241225700664735278940665401791235232701838605357915160002105612539568599290806258317477501243936456884381495467552065249647726290157695452164633737207<243>

39605594212883555029951718341185052916546813421909751486647846646963392478339774131520663652310667746256679315072516903656735368818213363989831160908022667795978338094765668371203734963061826284901313106227947743975769196598122852881<233>

933659552748633096108918102454559061029238988877451649621474899162753932662570444331989944101575697668018618116718738946652558327632751224135814771155099427148447757143728312576026024225843491071000132565931694880494740953569452441304647954806607461635707<255>

361395952080815453220657943446323321990545294709<48>

2583480936554175663080926116206948929827085351500038171530128995836502254466472789102036012095350661615528315727062676674012352306402361735490310389025626926955940039637852186785844491054521504938059833048623<208>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 933659552748633096108918102454559061029238988877451649621474899162753932662570444331989944101575697668018618116718738946652558327632751224135814771155099427148447757143728312576026024225843491071000132565931694880494740953569452441304647954806607461635707 (255 digits)
[Sat Sep 15 16:51:42 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2223429973
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 719765ms
Using 30 small primes for NTT
Estimated memory usage: 890M
Initializing tables of differences for F took 453ms
Computing roots of F took 21469ms
Building F from its roots took 15469ms
Computing 1/F took 6500ms
Initializing table of differences for G took 390ms
Computing roots of G took 18094ms
Building G from its roots took 15219ms
Computing roots of G took 18109ms
Building G from its roots took 15344ms
Computing G * H took 3734ms
Reducing  G * H mod F took 3656ms
Computing roots of G took 18141ms
Building G from its roots took 15281ms
Computing G * H took 3656ms
Reducing  G * H mod F took 3641ms
Computing roots of G took 18125ms
Building G from its roots took 15156ms
Computing G * H took 3672ms
Reducing  G * H mod F took 3625ms
Computing polyeval(F,G) took 30312ms
Computing product of all F(g_i) took 141ms
Step 2 took 231016ms
********** Factor found in step 2: 361395952080815453220657943446323321990545294709
Found probable prime factor of 48 digits: 361395952080815453220657943446323321990545294709
Composite cofactor 2583480936554175663080926116206948929827085351500038171530128995836502254466472789102036012095350661615528315727062676674012352306402361735490310389025626926955940039637852186785844491054521504938059833048623 has 208 digits

GMP-ECM

333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<267>

77111137530896495110528471174163605612326126304241610631005252669844966229014547485700372526393966835595567947440167243636683237700144572027132460007960890199839550239222840483266049342987298857613174182377172810950432074072879651203249809427291796998621<254>

3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<271>

27736071136838698095059659950222424348759445958562723571988722959<65>
120180443613949426820899291276918150335011256272591281730326921938166768773708023511553570181225886826749550291468699925762767400071766484953542806064022885274595000221334422960433924868362744883687759460187<207>

< Parameters were as follows: >
# 
# 33733_135, SNFS_diff=271, C271
# 10X^6 + 12*X^3 - 1, X - 10^45
#
n: 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 1000000000000000000000000000000000000000000000
Y1: 1
Y0: -1000000000000000000000000000000000000000000000
deg: 6
c6: 10
c3: 12
c0: -1
type: snfs
skew: 0.68
rlim: 180000000
alim: 180000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.6
alambda: 2.6


< Sieved from 30M to 242M using gnfs-lasieve4I15e: >
<   55000 thread.hour >
<   402M relations >
< Most of the sieving was done using { 6 threads of Intel Xeon W3530, >
< 12 threads on Intel Core i7-5820K, and 2x 12 threads on dual Intel Xeon E5-2620 } >
< it took ~68 calendar days. >

< This has been (wildly?) oversieved the filtering tests I made afterwards gave the following results: >
<  (1) Using default target density, the minimum number of relations for building a matrix is somewhere >
<      between 330M and 340M. >
<  (2) Using 350M relations and default target density, a 28M matrix is built (ETA 465h). >
<  (3) Using 350M relations and target density 96, a 25M matrix is built (ETA 423h). >
<  (4) Using all 402M relations, building matrix succeds at td=128 and fails at td=132, >
<      at td=128 a 19M matrix is obtained (ETA 266h). >
<  Rem: - All filtering/LA tests were made using 6 threads on Core i7-5820K running Windows 7 Pro. >
<       - 350M have been obtained in ~45000 thread.hour. >

< Filtering on Core i7-5820K running Windows 7 Pro (64GB RAM): >

Tue May 26 09:41:17 2015  
Tue May 26 09:41:17 2015  Msieve v. 1.53 (SVN 983M)
Tue May 26 09:41:17 2015  random seeds: c8af08e0 68464cf5
Tue May 26 09:41:17 2015  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (271 digits)
Tue May 26 09:41:18 2015  no P-1/P+1/ECM available, skipping
Tue May 26 09:41:18 2015  commencing number field sieve (271-digit input)
Tue May 26 09:41:18 2015  R0: -1000000000000000000000000000000000000000000000
Tue May 26 09:41:18 2015  R1: 1
Tue May 26 09:41:18 2015  A0: -1
Tue May 26 09:41:18 2015  A1: 0
Tue May 26 09:41:18 2015  A2: 0
Tue May 26 09:41:18 2015  A3: 12
Tue May 26 09:41:18 2015  A4: 0
Tue May 26 09:41:18 2015  A5: 0
Tue May 26 09:41:18 2015  A6: 10
Tue May 26 09:41:18 2015  skew 0.68, size 2.932e-013, alpha 0.985, combined = 4.506e-014 rroots = 2
Tue May 26 09:41:18 2015  
Tue May 26 09:41:18 2015  commencing relation filtering
Tue May 26 09:41:18 2015  setting target matrix density to 128.0
Tue May 26 09:41:18 2015  estimated available RAM is 65426.9 MB
Tue May 26 09:41:18 2015  commencing duplicate removal, pass 1
Tue May 26 09:53:02 2015  error -9 reading relation 53152784
Tue May 26 09:53:02 2015  error -9 reading relation 53162248
Tue May 26 09:53:02 2015  error -15 reading relation 53170820
Tue May 26 09:53:02 2015  error -1 reading relation 53187947
Tue May 26 09:54:31 2015  error -9 reading relation 59819900
Tue May 26 09:54:32 2015  error -5 reading relation 59853805
Tue May 26 09:54:32 2015  error -9 reading relation 59862245
Tue May 26 10:31:35 2015  error -15 reading relation 224892570
Tue May 26 10:31:35 2015  error -9 reading relation 224902436
Tue May 26 10:31:35 2015  error -9 reading relation 224910972
Tue May 26 10:31:35 2015  error -1 reading relation 224929649
Tue May 26 10:31:35 2015  error -15 reading relation 224938935
Tue May 26 10:31:36 2015  error -9 reading relation 224958292
Tue May 26 10:31:36 2015  error -5 reading relation 224967407
Tue May 26 10:31:36 2015  error -9 reading relation 224985894
Tue May 26 11:11:40 2015  skipped 3340 relations with b > 2^32
Tue May 26 11:11:40 2015  skipped 9 relations with composite factors
Tue May 26 11:11:40 2015  found 84063457 hash collisions in 402498066 relations
Tue May 26 11:12:08 2015  commencing duplicate removal, pass 2
Tue May 26 11:20:01 2015  found 75965509 duplicates and 326532557 unique relations
Tue May 26 11:20:01 2015  memory use: 2387.0 MB
Tue May 26 11:20:01 2015  reading ideals above 241893376
Tue May 26 11:20:01 2015  commencing singleton removal, initial pass
Tue May 26 12:14:04 2015  memory use: 6024.0 MB
Tue May 26 12:14:04 2015  reading all ideals from disk
Tue May 26 12:14:07 2015  memory use: 5638.8 MB
Tue May 26 12:14:21 2015  commencing in-memory singleton removal
Tue May 26 12:14:35 2015  begin with 326532557 relations and 297771732 unique ideals
Tue May 26 12:17:04 2015  reduce to 176837476 relations and 128923259 ideals in 17 passes
Tue May 26 12:17:04 2015  max relations containing the same ideal: 36
Tue May 26 12:17:17 2015  reading ideals above 720000
Tue May 26 12:17:17 2015  commencing singleton removal, initial pass
Tue May 26 12:54:27 2015  memory use: 3012.0 MB
Tue May 26 12:54:27 2015  reading all ideals from disk
Tue May 26 12:54:30 2015  memory use: 7414.0 MB
Tue May 26 12:54:56 2015  keeping 154482301 ideals with weight <= 200, target excess is 954575
Tue May 26 12:55:22 2015  commencing in-memory singleton removal
Tue May 26 12:55:41 2015  begin with 176837477 relations and 154482301 unique ideals
Tue May 26 12:59:11 2015  reduce to 176801237 relations and 154446055 ideals in 11 passes
Tue May 26 12:59:11 2015  max relations containing the same ideal: 200
Tue May 26 13:00:48 2015  removing 15172288 relations and 13172288 ideals in 2000000 cliques
Tue May 26 13:00:52 2015  commencing in-memory singleton removal
Tue May 26 13:01:10 2015  begin with 161628949 relations and 154446055 unique ideals
Tue May 26 13:03:47 2015  reduce to 160677531 relations and 140308268 ideals in 9 passes
Tue May 26 13:03:47 2015  max relations containing the same ideal: 196
Tue May 26 13:05:15 2015  removing 11294400 relations and 9294400 ideals in 2000000 cliques
Tue May 26 13:05:18 2015  commencing in-memory singleton removal
Tue May 26 13:05:35 2015  begin with 149383131 relations and 140308268 unique ideals
Tue May 26 13:07:58 2015  reduce to 148780611 relations and 130403706 ideals in 9 passes
Tue May 26 13:07:58 2015  max relations containing the same ideal: 189
Tue May 26 13:09:20 2015  removing 10084133 relations and 8084133 ideals in 2000000 cliques
Tue May 26 13:09:24 2015  commencing in-memory singleton removal
Tue May 26 13:09:39 2015  begin with 138696478 relations and 130403706 unique ideals
Tue May 26 13:11:52 2015  reduce to 138175331 relations and 121791757 ideals in 9 passes
Tue May 26 13:11:52 2015  max relations containing the same ideal: 179
Tue May 26 13:13:08 2015  removing 9435596 relations and 7435596 ideals in 2000000 cliques
Tue May 26 13:13:11 2015  commencing in-memory singleton removal
Tue May 26 13:13:25 2015  begin with 128739735 relations and 121791757 unique ideals
Tue May 26 13:15:14 2015  reduce to 128253836 relations and 113863848 ideals in 8 passes
Tue May 26 13:15:14 2015  max relations containing the same ideal: 171
Tue May 26 13:16:25 2015  removing 9018443 relations and 7018443 ideals in 2000000 cliques
Tue May 26 13:16:28 2015  commencing in-memory singleton removal
Tue May 26 13:16:41 2015  begin with 119235393 relations and 113863848 unique ideals
Tue May 26 13:18:09 2015  reduce to 118757605 relations and 106361093 ideals in 7 passes
Tue May 26 13:18:09 2015  max relations containing the same ideal: 164
Tue May 26 13:19:16 2015  removing 8730804 relations and 6730804 ideals in 2000000 cliques
Tue May 26 13:19:19 2015  commencing in-memory singleton removal
Tue May 26 13:19:31 2015  begin with 110026801 relations and 106361093 unique ideals
Tue May 26 13:21:03 2015  reduce to 109550753 relations and 99147341 ideals in 8 passes
Tue May 26 13:21:03 2015  max relations containing the same ideal: 155
Tue May 26 13:22:04 2015  removing 8526162 relations and 6526162 ideals in 2000000 cliques
Tue May 26 13:22:06 2015  commencing in-memory singleton removal
Tue May 26 13:22:17 2015  begin with 101024591 relations and 99147341 unique ideals
Tue May 26 13:23:51 2015  reduce to 100539012 relations and 92128275 ideals in 9 passes
Tue May 26 13:23:51 2015  max relations containing the same ideal: 149
Tue May 26 13:24:47 2015  removing 8380893 relations and 6380893 ideals in 2000000 cliques
Tue May 26 13:24:50 2015  commencing in-memory singleton removal
Tue May 26 13:25:00 2015  begin with 92158119 relations and 92128275 unique ideals
Tue May 26 13:26:16 2015  reduce to 91653144 relations and 85234005 ideals in 8 passes
Tue May 26 13:26:16 2015  max relations containing the same ideal: 137
Tue May 26 13:27:08 2015  removing 8279253 relations and 6279253 ideals in 2000000 cliques
Tue May 26 13:27:10 2015  commencing in-memory singleton removal
Tue May 26 13:27:19 2015  begin with 83373891 relations and 85234005 unique ideals
Tue May 26 13:28:36 2015  reduce to 82837349 relations and 78408615 ideals in 9 passes
Tue May 26 13:28:36 2015  max relations containing the same ideal: 131
Tue May 26 13:29:22 2015  removing 8209812 relations and 6209812 ideals in 2000000 cliques
Tue May 26 13:29:24 2015  commencing in-memory singleton removal
Tue May 26 13:29:32 2015  begin with 74627537 relations and 78408615 unique ideals
Tue May 26 13:30:33 2015  reduce to 74047578 relations and 71607537 ideals in 8 passes
Tue May 26 13:30:33 2015  max relations containing the same ideal: 117
Tue May 26 13:31:14 2015  removing 5897740 relations and 4565007 ideals in 1332733 cliques
Tue May 26 13:31:16 2015  commencing in-memory singleton removal
Tue May 26 13:31:23 2015  begin with 68149838 relations and 71607537 unique ideals
Tue May 26 13:32:18 2015  reduce to 67827592 relations and 66715398 ideals in 8 passes
Tue May 26 13:32:18 2015  max relations containing the same ideal: 110
Tue May 26 13:33:06 2015  relations with 0 large ideals: 12015
Tue May 26 13:33:06 2015  relations with 1 large ideals: 7009
Tue May 26 13:33:06 2015  relations with 2 large ideals: 122429
Tue May 26 13:33:06 2015  relations with 3 large ideals: 959126
Tue May 26 13:33:06 2015  relations with 4 large ideals: 4082623
Tue May 26 13:33:06 2015  relations with 5 large ideals: 10450243
Tue May 26 13:33:06 2015  relations with 6 large ideals: 16843268
Tue May 26 13:33:06 2015  relations with 7+ large ideals: 35350879
Tue May 26 13:33:06 2015  commencing 2-way merge
Tue May 26 13:33:59 2015  reduce to 42429347 relation sets and 41317153 unique ideals
Tue May 26 13:33:59 2015  commencing full merge
Tue May 26 13:52:31 2015  memory use: 5424.4 MB
Tue May 26 13:52:36 2015  found 19014922 cycles, need 19001353
Tue May 26 13:52:38 2015  weight of 19001353 cycles is about 2432828869 (128.03/cycle)
Tue May 26 13:52:38 2015  distribution of cycle lengths:
Tue May 26 13:52:38 2015  1 relations: 920937
Tue May 26 13:52:38 2015  2 relations: 1215371
Tue May 26 13:52:38 2015  3 relations: 1376048
Tue May 26 13:52:38 2015  4 relations: 1382796
Tue May 26 13:52:38 2015  5 relations: 1391129
Tue May 26 13:52:38 2015  6 relations: 1350027
Tue May 26 13:52:38 2015  7 relations: 1318862
Tue May 26 13:52:38 2015  8 relations: 1247992
Tue May 26 13:52:38 2015  9 relations: 1179236
Tue May 26 13:52:38 2015  10+ relations: 7618955
Tue May 26 13:52:38 2015  heaviest cycle: 28 relations
Tue May 26 13:52:42 2015  commencing cycle optimization
Tue May 26 13:53:16 2015  start with 169009293 relations
Tue May 26 14:01:03 2015  pruned 7217736 relations
Tue May 26 14:01:03 2015  memory use: 4544.7 MB
Tue May 26 14:01:03 2015  distribution of cycle lengths:
Tue May 26 14:01:03 2015  1 relations: 920937
Tue May 26 14:01:03 2015  2 relations: 1246494
Tue May 26 14:01:03 2015  3 relations: 1433261
Tue May 26 14:01:03 2015  4 relations: 1436681
Tue May 26 14:01:03 2015  5 relations: 1454211
Tue May 26 14:01:03 2015  6 relations: 1407861
Tue May 26 14:01:03 2015  7 relations: 1378460
Tue May 26 14:01:03 2015  8 relations: 1300010
Tue May 26 14:01:03 2015  9 relations: 1225709
Tue May 26 14:01:03 2015  10+ relations: 7197729
Tue May 26 14:01:03 2015  heaviest cycle: 28 relations
Tue May 26 14:02:13 2015  RelProcTime: 15655
Tue May 26 14:02:13 2015  elapsed time 04:20:56



< Linear algebra + square root on Dual Xeon E5-2620 (32GB RAM): >

Wed May 27 08:45:03 2015  
Wed May 27 08:45:03 2015  
Wed May 27 08:45:03 2015  Msieve v. 1.53 (SVN 975)
Wed May 27 08:45:03 2015  random seeds: 932b7bae 3d04ecf6
Wed May 27 08:45:03 2015  MPI process 0 of 2
Wed May 27 08:45:03 2015  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (271 digits)
Wed May 27 08:45:06 2015  no P-1/P+1/ECM available, skipping
Wed May 27 08:45:06 2015  commencing number field sieve (271-digit input)
Wed May 27 08:45:06 2015  R0: -1000000000000000000000000000000000000000000000
Wed May 27 08:45:06 2015  R1: 1
Wed May 27 08:45:06 2015  A0: -1
Wed May 27 08:45:06 2015  A1: 0
Wed May 27 08:45:06 2015  A2: 0
Wed May 27 08:45:06 2015  A3: 12
Wed May 27 08:45:06 2015  A4: 0
Wed May 27 08:45:06 2015  A5: 0
Wed May 27 08:45:06 2015  A6: 10
Wed May 27 08:45:06 2015  skew 0.68, size 2.932e-13, alpha 0.985, combined = 4.506e-14 rroots = 2
Wed May 27 08:45:06 2015  
Wed May 27 08:45:06 2015  commencing linear algebra
Wed May 27 08:45:06 2015  initialized process (0,0) of 1 x 2 grid
Wed May 27 08:45:16 2015  read 19001353 cycles
Wed May 27 08:46:16 2015  cycles contain 67102920 unique relations
Wed May 27 09:09:00 2015  read 67102920 relations
Wed May 27 09:12:32 2015  using 20 quadratic characters above 4294917296
Wed May 27 09:19:26 2015  building initial matrix
Wed May 27 09:39:34 2015  memory use: 8911.9 MB
Wed May 27 09:40:20 2015  read 19001353 cycles
Wed May 27 09:40:24 2015  matrix is 19001176 x 19001353 (9464.9 MB) with weight 2727591500 (143.55/col)
Wed May 27 09:40:24 2015  sparse part has weight 2272157287 (119.58/col)
Wed May 27 09:48:17 2015  filtering completed in 2 passes
Wed May 27 09:48:23 2015  matrix is 19001049 x 19001226 (9464.9 MB) with weight 2727587293 (143.55/col)
Wed May 27 09:48:23 2015  sparse part has weight 2272156214 (119.58/col)
Wed May 27 09:50:44 2015  matrix starts at (0, 0)
Wed May 27 09:50:47 2015  matrix is 19001049 x 9500624 (4732.5 MB) with weight 1363791107 (143.55/col)
Wed May 27 09:50:47 2015  sparse part has weight 1136078277 (119.58/col)
Wed May 27 09:50:47 2015  saving the first 48 matrix rows for later
Wed May 27 09:50:50 2015  matrix includes 64 packed rows
Wed May 27 09:50:53 2015  matrix is 19001001 x 9500624 (4559.4 MB) with weight 1172212288 (123.38/col)
Wed May 27 09:50:53 2015  sparse part has weight 1100214018 (115.80/col)
Wed May 27 09:50:53 2015  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Wed May 27 09:52:36 2015  commencing Lanczos iteration (6 threads)
Wed May 27 09:52:36 2015  memory use: 3995.9 MB
Wed May 27 09:53:36 2015  linear algebra at 0.0%, ETA 198h41m
Wed May 27 09:53:55 2015  checkpointing every 100000 dimensions
Thu Jun  4 15:29:44 2015  lanczos halted after 300476 iterations (dim = 19001000)
Thu Jun  4 15:30:09 2015  recovered 35 nontrivial dependencies
Thu Jun  4 15:30:11 2015  BLanczosTime: 715505
Thu Jun  4 15:30:11 2015  elapsed time 198:45:08
Wed May 27 08:45:03 2015  
Wed May 27 08:45:03 2015  
Wed May 27 08:45:03 2015  Msieve v. 1.53 (SVN 975)
Wed May 27 08:45:03 2015  random seeds: 8c040b50 16480b19
Wed May 27 08:45:03 2015  MPI process 1 of 2
Wed May 27 08:45:03 2015  factoring 3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (271 digits)
Wed May 27 08:45:06 2015  no P-1/P+1/ECM available, skipping
Wed May 27 08:45:06 2015  commencing number field sieve (271-digit input)
Wed May 27 08:45:06 2015  R0: -1000000000000000000000000000000000000000000000
Wed May 27 08:45:06 2015  R1: 1
Wed May 27 08:45:06 2015  A0: -1
Wed May 27 08:45:06 2015  A1: 0
Wed May 27 08:45:06 2015  A2: 0
Wed May 27 08:45:06 2015  A3: 12
Wed May 27 08:45:06 2015  A4: 0
Wed May 27 08:45:06 2015  A5: 0
Wed May 27 08:45:06 2015  A6: 10
Wed May 27 08:45:06 2015  skew 0.68, size 2.932e-13, alpha 0.985, combined = 4.506e-14 rroots = 2
Wed May 27 08:45:06 2015  
Wed May 27 08:45:06 2015  commencing linear algebra
Wed May 27 08:45:06 2015  initialized process (0,1) of 1 x 2 grid
Wed May 27 09:50:46 2015  matrix starts at (0, 9500624)
Wed May 27 09:50:48 2015  matrix is 19001049 x 9500602 (4732.5 MB) with weight 1363796186 (143.55/col)
Wed May 27 09:50:48 2015  sparse part has weight 1136077937 (119.58/col)
Wed May 27 09:50:48 2015  saving the first 48 matrix rows for later
Wed May 27 09:50:51 2015  matrix includes 64 packed rows
Wed May 27 09:50:53 2015  matrix is 19001001 x 9500602 (4559.5 MB) with weight 1172208845 (123.38/col)
Wed May 27 09:50:53 2015  sparse part has weight 1100226860 (115.81/col)
Wed May 27 09:50:53 2015  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Wed May 27 09:52:33 2015  commencing Lanczos iteration (6 threads)
Wed May 27 09:52:33 2015  memory use: 3996.0 MB
Thu Jun  4 15:29:44 2015  lanczos halted after 300476 iterations (dim = 19001000)
Thu Jun  4 15:29:47 2015  lanczos error: only trivial dependencies found
Thu Jun  4 15:29:48 2015  BLanczosTime: 715482
Thu Jun  4 15:29:48 2015  elapsed time 198:44:45

Thu Jun 04 16:45:20 2015  
Thu Jun 04 16:45:20 2015  commencing square root phase
Thu Jun 04 16:45:20 2015  reading relations for dependency 1
Thu Jun 04 16:45:27 2015  read 9504583 cycles
Thu Jun 04 16:45:53 2015  cycles contain 33562844 unique relations
Thu Jun 04 17:01:59 2015  read 33562844 relations
Thu Jun 04 17:06:53 2015  multiplying 33562844 relations
Thu Jun 04 17:49:21 2015  multiply complete, coefficients have about 995.06 million bits
Thu Jun 04 17:49:32 2015  initial square root is modulo 845681693
Thu Jun 04 18:38:28 2015  sqrtTime: 6788
Thu Jun 04 18:38:28 2015  p65 factor: 27736071136838698095059659950222424348759445958562723571988722959
Thu Jun 04 18:38:28 2015  p207 factor: 120180443613949426820899291276918150335011256272591281730326921938166768773708023511553570181225886826749550291468699925762767400071766484953542806064022885274595000221334422960433924868362744883687759460187
Thu Jun 04 18:38:28 2015  elapsed time 01:53:11

93231645045136377566955427172782646907279550105827479709903324910631348613000214898678640661831638455837277097480279058881350311250751164398329774395319938592038405389376057231271153242651529114125125975188101749134576799298602491601077614869578351<248>

3929863338358871814804304805489119849613246442764726437763160670238400409577314581232826658777315465558552275181089781323010510576993941896175654416948712145093793475504222766529150861646440686908324067150125993<211>

2342380686160321863574482420015104479833316582201519443242142687475279411231606488033916626414327638202038738271507956944427475881003671153429099743108018605034788749667815055279134966278223184245170111983168370654373283213084607624397263974721876251960011511<259>

2181296333532040346357257280953<31>
1073847991284818891389142760260548838916590321081427153184017589530359235226625507066080059558825744858865918722878460923762064820306085987284482370830603777030282709806724845548354391461511198353320787502197895157165426625226287<229>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2956705280
Step 1 took 14555ms
Step 2 took 7832ms
********** Factor found in step 2: 2181296333532040346357257280953
Found probable prime factor of 31 digits: 2181296333532040346357257280953
Probable prime cofactor 1073847991284818891389142760260548838916590321081427153184017589530359235226625507066080059558825744858865918722878460923762064820306085987284482370830603777030282709806724845548354391461511198353320787502197895157165426625226287 has 229 digits

GMP-ECM 6.3

76166569521000559185601517547314674566910867085889328480336247447020086182282456084089165484587344286128477852149023719374758269726700174389359440596989466929087851375433070731200151315669333890316338249151431310447122942619250433879677856618272581665940903<257>

18326571142325824638469382777537396341440256317648459277909473636928829718598895876948386485999938622425054426132533535121089949888630173857796587354572249429791621969399969837360713212330469213330743941953251868837111741485985549100623902077546153236934663<257>

665932631669742907329577565657<30>

27520157851965049762707014811705967863164224982338758384457587252337706525666059532299436103774813822960522305871582994209199627391125647334497608237176729144176329451755181151237507532076391435459778979421384866365051990593759<227>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=405661227
Step 1 took 14649ms
Step 2 took 7597ms
********** Factor found in step 2: 665932631669742907329577565657
Found probable prime factor of 30 digits: 665932631669742907329577565657
Composite cofactor 27520157851965049762707014811705967863164224982338758384457587252337706525666059532299436103774813822960522305871582994209199627391125647334497608237176729144176329451755181151237507532076391435459778979421384866365051990593759 has 227 digits

GMP-ECM 6.3

27520157851965049762707014811705967863164224982338758384457587252337706525666059532299436103774813822960522305871582994209199627391125647334497608237176729144176329451755181151237507532076391435459778979421384866365051990593759<227>

9285028454634871117258289421965436238333<40>

2963928219113601581512718379796160051639723169031286079935470864989993866135112082339383620093445367879593480689132684569861198878686857593118897383577463140324260871793703766605774163723<187>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2082973655
Step 1 took 159859ms
Step 2 took 48018ms
********** Factor found in step 2: 9285028454634871117258289421965436238333
Found probable prime factor of 40 digits: 9285028454634871117258289421965436238333

2963928219113601581512718379796160051639723169031286079935470864989993866135112082339383620093445367879593480689132684569861198878686857593118897383577463140324260871793703766605774163723<187>

47098435769281105371173071157299492987408107068461<50>

62930502270454532795714735346386171331343065442953732468632213284311924741912950801864300413875418862193836933389586212859091050848305943<137>

Resuming ECM residue saved by @aafc1ac4932e with GMP-ECM 7.0.5-dev on Tue Apr 16 00:45:42 2024 
Input number is 2963928219113601581512718379796160051639723169031286079935470864989993866135112082339383620093445367879593480689132684569861198878686857593118897383577463140324260871793703766605774163723 (187 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:2666854460
Step 1 took 0ms
Step 2 took 38278ms
********** Factor found in step 2: 47098435769281105371173071157299492987408107068461
Found prime factor of 50 digits: 47098435769281105371173071157299492987408107068461
Composite cofactor 62930502270454532795714735346386171331343065442953732468632213284311924741912950801864300413875418862193836933389586212859091050848305943 has 137 digits

62930502270454532795714735346386171331343065442953732468632213284311924741912950801864300413875418862193836933389586212859091050848305943<137>

12505108071909397277741543486093318633483835843276673<53>
5032383719403211284789430875147010400237135462793465065610246332845691638731639651991<85>

CADO:



STA:Sun 21 Apr 2024 06:03:56 AEST (62930502270454532795714735346386171331343065442953732468632213284311924741912950801864300413875418862193836933389586212859091050848305943 - C137)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 62930502270454532795714735346386171331343065442953732468632213284311924741912950801864300413875418862193836933389586212859091050848305943 2>&1 | tee -a log-63



Debug:root: Looking for parameter file for c137 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c135

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c135

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.n399wvsb

Info:Database: Opened connection to database /tmp/cado.n399wvsb/c135.db

Info:root: Set tasks.threads=20 based on --server-threads 20

Info:root: tasks.threads = 20 [via tasks.threads]

Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]

Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]

Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]

Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]

Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 62930502270454532795714735346386171331343065442953732468632213284311924741912950801864300413875418862193836933389586212859091050848305943

Debug:root: Root parameter dictionary:

N = 62930502270454532795714735346386171331343065442953732468632213284311924741912950801864300413875418862193836933389586212859091050848305943

name = c135

===

Info:Polynomial Selection (root optimized): Best polynomial is:

n: 62930502270454532795714735346386171331343065442953732468632213284311924741912950801864300413875418862193836933389586212859091050848305943

skew: 301736.396

c0: -406154903824211598966643267633776

c1: -1721842992065759674271193420

c2: 17292982398382234944830

c3: 88525215613638679

c4: -152544014590

c5: -163800

Y0: -271131757239550645323278447

Y1: 262162291808403066113

# MurphyE (Bf=1.074e+09,Bg=5.369e+08,area=5.033e+13) = 1.441e-06

# f(x) = -163800*x^5-152544014590*x^4+88525215613638679*x^3+17292982398382234944830*x^2-1721842992065759674271193420*x-406154903824211598966643267633776

# g(x) = 262162291808403066113*x-271131757239550645323278447

===

Debug:Command: Process with PID 936591 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 12505108071909397277741543486093318633483835843276673 5032383719403211284789430875147010400237135462793465065610246332845691638731639651991

Debug:Square Root: Exit SqrtTask.run(sqrt)

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 3922.2/477.702

Info:HTTP server: Got notification to stop serving Workunits

Info:Polynomial Selection (root optimized): Aggregate statistics:

Info:Polynomial Selection (root optimized): Total time: 1244.07

Info:Polynomial Selection (root optimized): Rootsieve time: 1243.33

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 56574848

Info:Lattice Sieving: Average J: 3862.09 for 495613 special-q, max bucket fill -bkmult 1.0,1s:1.295950

Info:Lattice Sieving: Total time: 666073s

Info:Polynomial Selection (size optimized): Aggregate statistics:

Info:Polynomial Selection (size optimized): potential collisions: 63638.2

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 43758/40.850/51.180/62.580/2.400

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 37183/39.230/44.388/56.630/1.353

Info:Polynomial Selection (size optimized): Total time: 23349.4

Info:Square Root: Total cpu/real time for sqrt: 3922.2/477.702

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 983.27/1804.72

Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 908.5999999999999s

Info:Quadratic Characters: Total cpu/real time for characters: 92.97/21.1607

Info:Filtering - Singleton removal: Total cpu/real time for purge: 332.53/121.259

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 483.88/1534.84

Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1534.2s

Info:Filtering - Merging: Total cpu/real time for merge: 448/49.0425

Info:Filtering - Merging: Total cpu/real time for replay: 35.22/30.8977

Info:Generate Factor Base: Total cpu/real time for makefb: 8.42/2.38405

Info:Generate Free Relations: Total cpu/real time for freerel: 1326.51/97.0725

Info:Linear Algebra: Total cpu/real time for bwc: 44991/10867.7

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 20277.1, WCT time 6138.7, iteration CPU time 0.03, COMM 0.06, cpu-wait 0.02, comm-wait 0.01 (54000 iterations)

Info:Linear Algebra: Lingen CPU time 9587.83, WCT time 798.19

Info:Linear Algebra: Mksol: CPU time 12912.57,  WCT time 3452.11, iteration CPU time 0.05, COMM 0.06, cpu-wait 0.01, comm-wait 0.0 (27000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 836984/83254.7 [23:07:35]

Info:root: Cleaning up computation data in /tmp/cado.n399wvsb

12505108071909397277741543486093318633483835843276673 5032383719403211284789430875147010400237135462793465065610246332845691638731639651991



END:Mon 22 Apr 2024 05:11:33 AEST (62930502270454532795714735346386171331343065442953732468632213284311924741912950801864300413875418862193836933389586212859091050848305943 - C137)

45779279573479436108212162851188674534448273211312971669783018585714847897811733220455573964503227512345073467450583745967447885400159357109872846087844134915809089286174751554542363584587327857899051728645394873039<215>

16624236720124021402218460782667789994135700177046366092983434855129744691874619829882847911436321765718516727264912655754255787519373632700122843170925085814461865922792049210928380220823057203930074840667014929177422267790179332491731973070371081590737295425258697<266>

16060171639262411734022940603050359<35>

1035121983346842688599683797364331810902113834744934087971049510548798335805533498315859761297889112894468698136262511526167257075506633011443534031322450090993505874469386966236115884086245199124789953648888421221321970594986677183<232>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=410619646
Step 1 took 55420ms
Step 2 took 17635ms
********** Factor found in step 2: 16060171639262411734022940603050359
Found probable prime factor of 35 digits: 16060171639262411734022940603050359

20574871374766790802704696628501726679931915833042884560968947346778562010055178720853905455390912670923617018546748076470037643264123027538853068102979179259529550887290206706327928576541294698170709727959814010561495854577281522195087252000034329584386225885790128840418587701<278>

4761904761904761904761904761904761904761904761904761904761904761904761904761904761904761904761904761904761904761904761904761904761904761904761904819047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619047619<292>

5770620340293890787452649633579158912481444788093130397570635821726467847093252599968150934671986288208203535520815340893249082055539698103255384013673135276195733882657121734490473245199684070069634449081357615350991122441859058088173346876388857268415743<256>

1605452108165190160503057811105168168201<40>

3594389587172994010380671565534410012934139055560525349532104038571396782985852012596896285576131411602949693954404726058404066689876250884445778031532950857580416085258739936844296960897353210879000280544905283763143<217>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3761383518
Step 1 took 599400ms
Step 2 took 135575ms
********** Factor found in step 2: 1605452108165190160503057811105168168201
Found probable prime factor of 40 digits: 1605452108165190160503057811105168168201

1117954276819710825160768515026456481277928438849914404787617901765908523746436460026087546876974120279285936596613924601353870849895488281933400710120975777522159516785476554928426159268629835156766682870006860677726082354437256237569689287611509584762073465266423635637<271>

3339392767506514398234823841734351<34>
334777713989742582686987081102364039631306861035255868767345204828374661516647064167768166539912118786744239628206367042000193818640282522157786404213904217840871917038552499899500066913497965903507557082183984851593888613198635572112187<237>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2682799061
Step 1 took 63977ms
Step 2 took 18834ms
********** Factor found in step 2: 3339392767506514398234823841734351
Found probable prime factor of 34 digits: 3339392767506514398234823841734351

2919234022970632876125707592036340626487564949292723270833667257509410604400627324408301962261083467042616414529121494282992294376416157102934122069085556086005813905745940407187936441032923303171351912383312143106892086998757420060752617513287903454956539<256>

231042788075675585912704193391464447457211570602168773091204482546294101063573037574510785687318554466650259173110539871588143248339020178498908285288368479367211228270678095332039279641246766977881000976521032647428264413055371405223108981708914169645099366483546154384258740209<279>