7126956154329172964190407581733579595542753084022720093873577878288167714232922899398415101<91>

19220610958847864530012111841<29>
370797586486105227102882427553203663841628754066639649741320861<63>

Number: 57779_104
N=7126956154329172964190407581733579595542753084022720093873577878288167714232922899398415101
  ( 91 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=19220610958847864530012111841 (pp29)
 r2=370797586486105227102882427553203663841628754066639649741320861 (pp63)
Version: GGNFS-0.77.1-VC8(Sat
Total time: 0.35 hours.
Scaled time: 0.38 units (timescale=1.092).
Factorization parameters were as follows:
n: 7126956154329172964190407581733579595542753084022720093873577878288167714232922899398415101
m: 200000000000000000000000000
deg: 4
c4: 13
c0: 44
skew: 1.36
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 265001)
Primes: RFBsize:34614, AFBsize:34155, largePrimes:979903 encountered
Relations: rels:899445, finalFF:86300
Max relations in full relation-set: 32
Initial matrix: 68836 x 86300 with sparse part having weight 3259399.
Pruned matrix : 57430 x 57838 with weight 1677024.
Total sieving time: 0.31 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,106,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.35 hours.
 --------- CPU info (if available) ----------

GGNFS via factLat.pl

Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP, Cygwin

1362716013425455038269365465041655392090464515205357520408224328485283338132684220072647149320559<97>

342635300376985740079889564063862325331<39>
3977161757490024436199522761739823455145947091623722643189<58>

Number: 57779_112
N=1362716013425455038269365465041655392090464515205357520408224328485283338132684220072647149320559
  ( 97 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=342635300376985740079889564063862325331
 (pp40)
 r2=3977161757490024436199522761739823455145947091623722643189
 (pp59)
Version: Msieve-1.41
Total time: 0.95 hours.
Scaled time: 1.03 units (timescale=1.088).
Factorization parameters were as follows:
n: 1362716013425455038269365465041655392090464515205357520408224328485283338132684220072647149320559
m: 20000000000000000000000
deg: 5
c5: 325
c0: 22
skew: 0.58
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 480001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56708 x 56935
Total sieving time: 0.95 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,114,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 0.95 hours.
 --------- CPU info (if available) ----------

GGNFS (sieving) + msieve v1.41 (postprocessing) via factMsieve.pl

Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP

241646916678284306891584181421069752311910404758585436126214043403503880291835122449927970630605511408522700869<111>

21191076950997992778938517729283<32>
11403239072609000017840567548152233635496296586350682597719486296171078116689943<80>

Number: 57779_113
N=241646916678284306891584181421069752311910404758585436126214043403503880291835122449927970630605511408522700869
  ( 111 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=21191076950997992778938517729283
 (pp33)
 r2=11403239072609000017840567548152233635496296586350682597719486296171078116689943
 (pp81)
Version: Msieve-1.39
Total time: 1.01 hours.
Scaled time: 1.09 units (timescale=1.085).
Factorization parameters were as follows:
n: 241646916678284306891584181421069752311910404758585436126214043403503880291835122449927970630605511408522700869
m: 100000000000000000000000
deg: 5
c5: 13
c0: 275
skew: 1.84
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59957 x 60198
Total sieving time: 1.01 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,116,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 1.01 hours.
 --------- CPU info (if available) ----------

GGNFS (sieving) + msieve v1.39 (postprocessing) via factMsieve.pl

Core 2 Duo E4500 (2.2GHz), 32-bit Windows XP

53645620335396606821871926431568222512112838049256370755536983441795441250273823494624946636921862091022903<107>

156191211927687234042225904227266197684409<42>
343461195244667387875682227644599921552361260327667052031805907567<66>

Number: 57779_114
N=53645620335396606821871926431568222512112838049256370755536983441795441250273823494624946636921862091022903
  ( 107 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=156191211927687234042225904227266197684409
 (pp43)
 r2=343461195244667387875682227644599921552361260327667052031805907567
 (pp67)
Version: Msieve-1.39
Total time: 1.01 hours.
Scaled time: 1.10 units (timescale=1.090).
Factorization parameters were as follows:
n: 53645620335396606821871926431568222512112838049256370755536983441795441250273823494624946636921862091022903
m: 100000000000000000000000
deg: 5
c5: 26
c0: 55
skew: 1.16
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 505001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62274 x 62507
Total sieving time: 1.01 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,116,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 1.01 hours.
 --------- CPU info (if available) ----------

GGNFS (sieving) + msieve v1.39 (postprocessing) via factMsieve.pl

Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP, Cygwin

131591046908794877758412578663182761915457299692172988922289902860810902769937845752396332566096314712276047<108>

2645715604664475548380977250122717151<37>
49737411941327305141315767551566392120952692721970711669814872930052497<71>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2645698852
Step 1 took 6533ms
Step 2 took 7036ms
********** Factor found in step 2: 2645715604664475548380977250122717151
Found probable prime factor of 37 digits: 2645715604664475548380977250122717151
Probable prime cofactor has 71 digits

GMP-ECM 6.2.2

525744182303742310034568486879758102100680007383383575604620876268515086518106958523153164067<93>

71924007866618544951803639781410382773<38>
7309717546312534089494372288483167098053407071733225079<55>

Number: 57779_117
N=525744182303742310034568486879758102100680007383383575604620876268515086518106958523153164067
  ( 93 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=71924007866618544951803639781410382773
 (pp39)
 r2=7309717546312534089494372288483167098053407071733225079
 (pp56)
Version: Msieve-1.41
Total time: 1.23 hours.
Scaled time: 1.34 units (timescale=1.088).
Factorization parameters were as follows:
n: 525744182303742310034568486879758102100680007383383575604620876268515086518106958523153164067
m: 200000000000000000000000
deg: 5
c5: 325
c0: 22
skew: 0.58
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor 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, 585001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73690 x 73919
Total sieving time: 1.23 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,119,5,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 1.23 hours.
 --------- CPU info (if available) ----------

GGNFS (sieving) + msieve v1.41 (postprocessing)

Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP, Cygwin

7193524691371170713641673802460032864647362592976192622799232625333131233825174851481483825439719<97>

65362022175359856796126919799848878544914687343<47>
110056642251239621825067197259113037041248732781833<51>

Number: 57779_119
N=7193524691371170713641673802460032864647362592976192622799232625333131233825174851481483825439719
  ( 97 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=65362022175359856796126919799848878544914687343
 (pp48)
 r2=110056642251239621825067197259113037041248732781833
 (pp52)
Version: Msieve-1.41
Total time: 1.25 hours.
Scaled time: 1.35 units (timescale=1.081).
Factorization parameters were as follows:
n: 7193524691371170713641673802460032864647362592976192622799232625333131233825174851481483825439719
m: 1000000000000000000000000
deg: 5
c5: 26
c0: 55
skew: 1.16
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor 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, 620001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83078 x 83303
Total sieving time: 1.25 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,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 1.25 hours.
 --------- CPU info (if available) ----------

GGNFS (sieving) + msieve v1.41 (postprocessing) via factMsieve.pl

Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP, Cygwin

2835907610033120194199551806236055848179990717764081780027871686218836290400926117700635184267484573<100>

364380770250394223205085702913<30>
7782813588336038236590157745377257175997742877047838277174240662961821<70>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 2835907610033120194199551806236055848179990717764081780027871686218836290400926117700635184267484573 (100 digits)
Using B1=410000, B2=258309880, polynomial Dickson(3), sigma=1875643875
Step 1 took 2844ms
Step 2 took 1547ms
********** Factor found in step 2: 364380770250394223205085702913
Found probable prime factor of 30 digits: 364380770250394223205085702913
Probable prime cofactor 7782813588336038236590157745377257175997742877047838277174240662961821 has 70 digits

1229715128262352446646479717712916921331965604795480595127657762873153975570827675722018351807183853308813442120421<115>

7763687498449931812059462700396020833572123<43>
158393177019022554878786757562711332700651832607685626917554728976969727<72>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1229715128262352446646479717712916921331965604795480595127657762873153975570827675722018351807183853308813442120421 (115 digits)
Using B1=3016000, B2=5707048630, polynomial Dickson(6), sigma=776505955
Step 1 took 23656ms
Step 2 took 10813ms
********** Factor found in step 2: 7763687498449931812059462700396020833572123
Found probable prime factor of 43 digits: 7763687498449931812059462700396020833572123
Probable prime cofactor 158393177019022554878786757562711332700651832607685626917554728976969727 has 72 digits

632632375809316105191624717695862274880643287462266870057488849072710396462327540718929685197421552487417492556979729043772429<126>

552786152596759621451787350162034188925429337<45>
1144443240550567536987813732224100088589848122719187256363678808463144355031420117<82>

Number: 57779_133
N=632632375809316105191624717695862274880643287462266870057488849072710396462327540718929685197421552487417492556979729043772429
  ( 126 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=552786152596759621451787350162034188925429337
 (pp46)
 r2=1144443240550567536987813732224100088589848122719187256363678808463144355031420117
 (pp83)
Version: Msieve-1.39
Total time: 3.25 hours.
Scaled time: 3.54 units (timescale=1.090).
Factorization parameters were as follows:
n: 632632375809316105191624717695862274880643287462266870057488849072710396462327540718929685197421552487417492556979729043772429
m: 1000000000000000000000000000
deg: 5
c5: 13
c0: 275
skew: 1.84
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1175001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 182164 x 182412
Total sieving time: 3.25 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,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 3.25 hours.
 --------- CPU info (if available) ----------

GGNFS (sieving) + msieve v1.39 (postprocessing) via factMsieve.pl

Core 2 Duo E4500 (2.2Ghz), 32-bit Windows XP, Cygwin

57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<137>

162327654977075883402432607143510339247<39>
225516353255079604804093456753934845067833<42>
1578302626785572386446896929818689186951420900821885917029<58>

Number: 57779_136
N=57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 137 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=162327654977075883402432607143510339247 (pp39)
 r2=225516353255079604804093456753934845067833 (pp42)
 r3=1578302626785572386446896929818689186951420900821885917029 (pp58)
Version: Msieve-1.40
Total time: 5.82 hours.
Scaled time: 11.40 units (timescale=1.960).
Factorization parameters were as follows:
name: 57779_136
n: 57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 2000000000000000000000000000
deg: 5
c5: 65
c0: 44
skew: 0.92
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, 1305001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 195509 x 195757
Total sieving time: 5.82 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,138.000,5,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,75000
total time: 5.82 hours.
 --------- CPU info (if available) ----------

56540207875193597111760613217706491076129293855908752726056959507882390115350784593308042957937614467659848751785382557504810007<128>

106562174939360003911367421423355456729232756135646331248841<60>
530584214402232516348340135462445847762080807588416523417975808079327<69>

Number: n
N=56540207875193597111760613217706491076129293855908752726056959507882390115350784593308042957937614467659848751785382557504810007
  ( 128 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=106562174939360003911367421423355456729232756135646331248841 (pp60)
 r2=530584214402232516348340135462445847762080807588416523417975808079327 (pp69)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 4.78 hours.
Scaled time: 12.72 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_7_138_9
n: 56540207875193597111760613217706491076129293855908752726056959507882390115350784593308042957937614467659848751785382557504810007
m: 10000000000000000000000000000
deg: 5
c5: 26
c0: 55
skew: 1.16
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [800000, 1700001)
Primes: RFBsize:121127, AFBsize:121466, largePrimes:6325858 encountered
Relations: rels:5753045, finalFF:323128
Max relations in full relation-set: 28
Initial matrix: 242659 x 323128 with sparse part having weight 28887173.
Pruned matrix : 217171 x 218448 with weight 16093286.
Total sieving time: 4.48 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.15 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,28,28,56,56,2.3,2.3,100000
total time: 4.78 hours.
 --------- CPU info (if available) ----------

18249765458967315251100758570354262987161550021582943083881949385207687813350351661755670150068944041437021726912929793023933<125>

1858703100709054768133619754033983334336277<43>
9818547917634304819287024108448651704534852780908499389251702140960977795402014729<82>

Number: n
N=18249765458967315251100758570354262987161550021582943083881949385207687813350351661755670150068944041437021726912929793023933
  ( 125 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1858703100709054768133619754033983334336277 (pp43)
 r2=9818547917634304819287024108448651704534852780908499389251702140960977795402014729 (pp82)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 3.60 hours.
Scaled time: 9.55 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_7_139_9
n: 18249765458967315251100758570354262987161550021582943083881949385207687813350351661755670150068944041437021726912929793023933
m: 10000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.3
alambda: 2.3
qintsize: 100000
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [800000, 1400001)
Primes: RFBsize:121127, AFBsize:120941, largePrimes:5917320 encountered
Relations: rels:5319702, finalFF:317067
Max relations in full relation-set: 28
Initial matrix: 242136 x 317067 with sparse part having weight 24371004.
Pruned matrix : 208945 x 210219 with weight 12742149.
Total sieving time: 3.16 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.11 hours.
Total square root time: 0.24 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,28,28,56,56,2.3,2.3,100000
total time: 3.60 hours.
 --------- CPU info (if available) ----------

34168553413699943534215778841743330944560565854995941012155248657561572877659329534745682232709216307282126701<110>

3343047086365563711398608131791<31>
10220781380272666838366366338702762386870049984758453088533674483692999433547011<80>

Thu Apr 09 03:03:15 2009  Msieve v. 1.41
Thu Apr 09 03:03:15 2009  random seeds: 0244d728 35297466
Thu Apr 09 03:03:15 2009  factoring 34168553413699943534215778841743330944560565854995941012155248657561572877659329534745682232709216307282126701 (110 digits)
Thu Apr 09 03:03:16 2009  searching for 15-digit factors
Thu Apr 09 03:03:18 2009  commencing number field sieve (110-digit input)
Thu Apr 09 03:03:18 2009  R0: -1700913657140603924940
Thu Apr 09 03:03:18 2009  R1:  198739532677
Thu Apr 09 03:03:18 2009  A0:  2785491139512664258540157293
Thu Apr 09 03:03:18 2009  A1:  403368444129627968520825
Thu Apr 09 03:03:18 2009  A2:  728029085584517419
Thu Apr 09 03:03:18 2009  A3: -89078160501357
Thu Apr 09 03:03:18 2009  A4:  189651940
Thu Apr 09 03:03:18 2009  A5:  2400
Thu Apr 09 03:03:18 2009  skew 104086.27, size 1.972286e-010, alpha -6.860694, combined = 1.100483e-009
Thu Apr 09 03:03:19 2009  
Thu Apr 09 03:03:19 2009  commencing relation filtering
Thu Apr 09 03:03:19 2009  commencing duplicate removal, pass 1
Thu Apr 09 03:04:30 2009  found 550305 hash collisions in 5661426 relations
Thu Apr 09 03:04:47 2009  added 42618 free relations
Thu Apr 09 03:04:47 2009  commencing duplicate removal, pass 2
Thu Apr 09 03:05:13 2009  found 539667 duplicates and 5164376 unique relations
Thu Apr 09 03:05:13 2009  memory use: 41.3 MB
Thu Apr 09 03:05:13 2009  reading rational ideals above 3080192
Thu Apr 09 03:05:13 2009  reading algebraic ideals above 3080192
Thu Apr 09 03:05:13 2009  commencing singleton removal, pass 1
Thu Apr 09 03:06:09 2009  relations with 0 large ideals: 111892
Thu Apr 09 03:06:09 2009  relations with 1 large ideals: 725947
Thu Apr 09 03:06:09 2009  relations with 2 large ideals: 1725109
Thu Apr 09 03:06:09 2009  relations with 3 large ideals: 1771461
Thu Apr 09 03:06:09 2009  relations with 4 large ideals: 711542
Thu Apr 09 03:06:09 2009  relations with 5 large ideals: 76946
Thu Apr 09 03:06:09 2009  relations with 6 large ideals: 41477
Thu Apr 09 03:06:09 2009  relations with 7+ large ideals: 2
Thu Apr 09 03:06:09 2009  5164376 relations and about 5234055 large ideals
Thu Apr 09 03:06:09 2009  commencing singleton removal, pass 2
Thu Apr 09 03:07:05 2009  found 2269372 singletons
Thu Apr 09 03:07:05 2009  current dataset: 2895004 relations and about 2370513 large ideals
Thu Apr 09 03:07:05 2009  commencing singleton removal, pass 3
Thu Apr 09 03:07:46 2009  found 592847 singletons
Thu Apr 09 03:07:46 2009  current dataset: 2302157 relations and about 1730815 large ideals
Thu Apr 09 03:07:46 2009  commencing singleton removal, pass 4
Thu Apr 09 03:08:23 2009  found 185711 singletons
Thu Apr 09 03:08:23 2009  current dataset: 2116446 relations and about 1539384 large ideals
Thu Apr 09 03:08:23 2009  commencing singleton removal, final pass
Thu Apr 09 03:09:01 2009  memory use: 33.3 MB
Thu Apr 09 03:09:01 2009  commencing in-memory singleton removal
Thu Apr 09 03:09:01 2009  begin with 2116446 relations and 1590336 unique ideals
Thu Apr 09 03:09:03 2009  reduce to 1885716 relations and 1355557 ideals in 14 passes
Thu Apr 09 03:09:03 2009  max relations containing the same ideal: 39
Thu Apr 09 03:09:03 2009  reading rational ideals above 720000
Thu Apr 09 03:09:03 2009  reading algebraic ideals above 720000
Thu Apr 09 03:09:03 2009  commencing singleton removal, final pass
Thu Apr 09 03:09:43 2009  keeping 1723978 ideals with weight <= 20, new excess is 193681
Thu Apr 09 03:09:45 2009  memory use: 47.9 MB
Thu Apr 09 03:09:45 2009  commencing in-memory singleton removal
Thu Apr 09 03:09:45 2009  begin with 1905859 relations and 1723978 unique ideals
Thu Apr 09 03:09:47 2009  reduce to 1875377 relations and 1595193 ideals in 11 passes
Thu Apr 09 03:09:47 2009  max relations containing the same ideal: 20
Thu Apr 09 03:09:48 2009  removing 235209 relations and 207452 ideals in 27757 cliques
Thu Apr 09 03:09:48 2009  commencing in-memory singleton removal
Thu Apr 09 03:09:48 2009  begin with 1640168 relations and 1595193 unique ideals
Thu Apr 09 03:09:50 2009  reduce to 1620757 relations and 1367935 ideals in 8 passes
Thu Apr 09 03:09:50 2009  max relations containing the same ideal: 20
Thu Apr 09 03:09:51 2009  removing 174444 relations and 146687 ideals in 27757 cliques
Thu Apr 09 03:09:51 2009  commencing in-memory singleton removal
Thu Apr 09 03:09:51 2009  begin with 1446313 relations and 1367935 unique ideals
Thu Apr 09 03:09:52 2009  reduce to 1432880 relations and 1207596 ideals in 7 passes
Thu Apr 09 03:09:52 2009  max relations containing the same ideal: 20
Thu Apr 09 03:09:53 2009  relations with 0 large ideals: 15040
Thu Apr 09 03:09:53 2009  relations with 1 large ideals: 103426
Thu Apr 09 03:09:53 2009  relations with 2 large ideals: 299605
Thu Apr 09 03:09:53 2009  relations with 3 large ideals: 441521
Thu Apr 09 03:09:53 2009  relations with 4 large ideals: 358753
Thu Apr 09 03:09:53 2009  relations with 5 large ideals: 163345
Thu Apr 09 03:09:53 2009  relations with 6 large ideals: 44150
Thu Apr 09 03:09:53 2009  relations with 7+ large ideals: 7040
Thu Apr 09 03:09:53 2009  commencing 2-way merge
Thu Apr 09 03:09:54 2009  reduce to 864816 relation sets and 639532 unique ideals
Thu Apr 09 03:09:54 2009  commencing full merge
Thu Apr 09 03:10:04 2009  memory use: 49.4 MB
Thu Apr 09 03:10:05 2009  found 403958 cycles, need 375732
Thu Apr 09 03:10:05 2009  weight of 375732 cycles is about 26631272 (70.88/cycle)
Thu Apr 09 03:10:05 2009  distribution of cycle lengths:
Thu Apr 09 03:10:05 2009  1 relations: 40847
Thu Apr 09 03:10:05 2009  2 relations: 37918
Thu Apr 09 03:10:05 2009  3 relations: 37801
Thu Apr 09 03:10:05 2009  4 relations: 35042
Thu Apr 09 03:10:05 2009  5 relations: 32630
Thu Apr 09 03:10:05 2009  6 relations: 29567
Thu Apr 09 03:10:05 2009  7 relations: 26654
Thu Apr 09 03:10:05 2009  8 relations: 23522
Thu Apr 09 03:10:05 2009  9 relations: 20609
Thu Apr 09 03:10:05 2009  10+ relations: 91142
Thu Apr 09 03:10:05 2009  heaviest cycle: 20 relations
Thu Apr 09 03:10:05 2009  commencing cycle optimization
Thu Apr 09 03:10:05 2009  start with 2428548 relations
Thu Apr 09 03:10:12 2009  pruned 77505 relations
Thu Apr 09 03:10:12 2009  memory use: 61.7 MB
Thu Apr 09 03:10:12 2009  distribution of cycle lengths:
Thu Apr 09 03:10:12 2009  1 relations: 40847
Thu Apr 09 03:10:12 2009  2 relations: 39017
Thu Apr 09 03:10:12 2009  3 relations: 39486
Thu Apr 09 03:10:12 2009  4 relations: 36367
Thu Apr 09 03:10:12 2009  5 relations: 33787
Thu Apr 09 03:10:12 2009  6 relations: 30392
Thu Apr 09 03:10:12 2009  7 relations: 27261
Thu Apr 09 03:10:12 2009  8 relations: 23779
Thu Apr 09 03:10:12 2009  9 relations: 20663
Thu Apr 09 03:10:12 2009  10+ relations: 84133
Thu Apr 09 03:10:12 2009  heaviest cycle: 20 relations
Thu Apr 09 03:10:13 2009  RelProcTime: 321
Thu Apr 09 03:10:13 2009  
Thu Apr 09 03:10:13 2009  commencing linear algebra
Thu Apr 09 03:10:13 2009  read 375732 cycles
Thu Apr 09 03:10:14 2009  cycles contain 1262361 unique relations
Thu Apr 09 03:10:36 2009  read 1262361 relations
Thu Apr 09 03:10:38 2009  using 20 quadratic characters above 129051674
Thu Apr 09 03:10:46 2009  building initial matrix
Thu Apr 09 03:11:03 2009  memory use: 140.2 MB
Thu Apr 09 03:11:03 2009  read 375732 cycles
Thu Apr 09 03:11:04 2009  matrix is 375495 x 375732 (108.0 MB) with weight 35920809 (95.60/col)
Thu Apr 09 03:11:04 2009  sparse part has weight 25294481 (67.32/col)
Thu Apr 09 03:11:09 2009  filtering completed in 3 passes
Thu Apr 09 03:11:10 2009  matrix is 373450 x 373650 (107.6 MB) with weight 35776280 (95.75/col)
Thu Apr 09 03:11:10 2009  sparse part has weight 25215452 (67.48/col)
Thu Apr 09 03:11:11 2009  read 373650 cycles
Thu Apr 09 03:11:11 2009  matrix is 373450 x 373650 (107.6 MB) with weight 35776280 (95.75/col)
Thu Apr 09 03:11:11 2009  sparse part has weight 25215452 (67.48/col)
Thu Apr 09 03:11:11 2009  saving the first 48 matrix rows for later
Thu Apr 09 03:11:12 2009  matrix is 373402 x 373650 (102.5 MB) with weight 28487580 (76.24/col)
Thu Apr 09 03:11:12 2009  sparse part has weight 24633976 (65.93/col)
Thu Apr 09 03:11:12 2009  matrix includes 64 packed rows
Thu Apr 09 03:11:12 2009  using block size 65536 for processor cache size 3072 kB
Thu Apr 09 03:11:15 2009  commencing Lanczos iteration
Thu Apr 09 03:11:15 2009  memory use: 99.6 MB
Thu Apr 09 03:30:38 2009  lanczos halted after 5906 iterations (dim = 373402)
Thu Apr 09 03:30:39 2009  recovered 31 nontrivial dependencies
Thu Apr 09 03:30:39 2009  BLanczosTime: 1226
Thu Apr 09 03:30:39 2009  
Thu Apr 09 03:30:39 2009  commencing square root phase
Thu Apr 09 03:30:39 2009  reading relations for dependency 1
Thu Apr 09 03:30:39 2009  read 186146 cycles
Thu Apr 09 03:30:40 2009  cycles contain 777166 unique relations
Thu Apr 09 03:30:58 2009  read 777166 relations
Thu Apr 09 03:31:03 2009  multiplying 628388 relations
Thu Apr 09 03:32:32 2009  multiply complete, coefficients have about 25.11 million bits
Thu Apr 09 03:32:33 2009  initial square root is modulo 16293239
Thu Apr 09 03:34:38 2009  sqrtTime: 239
Thu Apr 09 03:34:38 2009  prp31 factor: 3343047086365563711398608131791
Thu Apr 09 03:34:38 2009  prp80 factor: 10220781380272666838366366338702762386870049984758453088533674483692999433547011
Thu Apr 09 03:34:38 2009  elapsed time 00:31:23

Msieve v1.41 / GGNFS / Msieve

Intel Core 2 Duo T8100
Windows Vista Home Premium 32 bit

721487543181173410032853680353390670245309814724173086036523878050716196243725425581890348985568388947243564493206712841145167766494577<135>

2627625558851476694029546636907<31>
274577761184714753670872305144563611669505000759721875940972634740657525851157819603161894138821807409811<105>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=4099621279
Step 1 took 8108ms
Step 2 took 7905ms
********** Factor found in step 2: 2627625558851476694029546636907
Found probable prime factor of 31 digits: 2627625558851476694029546636907
Probable prime cofactor has 105 digits

GMP-ECM 6.2.2

24871127822807536540677308893737853256793987719707497098779318903928078213373681114319761189526515069860939915500591264757<122>

724290725579767305836091030202155649537<39>
34338597671396579436444177778028131407510991420689462672723960428011307199603139061<83>

Number: 57779_144
N=24871127822807536540677308893737853256793987719707497098779318903928078213373681114319761189526515069860939915500591264757
  ( 122 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=724290725579767305836091030202155649537
 r2=34338597671396579436444177778028131407510991420689462672723960428011307199603139061
Version: 
Total time: 5.51 hours.
Scaled time: 13.14 units (timescale=2.384).
Factorization parameters were as follows:
n: 24871127822807536540677308893737853256793987719707497098779318903928078213373681114319761189526515069860939915500591264757
m: 100000000000000000000000000000
deg: 5
c5: 26
c0: 55
skew: 1.16
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [675000, 1275001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4442108
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 236109 x 236357
Total sieving time: 5.21 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1350000,1350000,27,27,49,49,2.3,2.3,75000
total time: 5.51 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: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

1779272625363021460612243496577185608423839199881627329550077736603303475175902484372231463577430300728043315288438234114262937132597<133>

56954380313470557383476264133069369<35>
877944135394782865480706076381912796258246379<45>
35583485323197678203373839989701525841764457126274647<53>

Number: 57779_145
N=1779272625363021460612243496577185608423839199881627329550077736603303475175902484372231463577430300728043315288438234114262937132597
  ( 133 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=56954380313470557383476264133069369
 r2=877944135394782865480706076381912796258246379
 r3=35583485323197678203373839989701525841764457126274647
Version: 
Total time: 4.23 hours.
Scaled time: 10.09 units (timescale=2.384).
Factorization parameters were as follows:
n: 1779272625363021460612243496577185608423839199881627329550077736603303475175902484372231463577430300728043315288438234114262937132597
m: 100000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [675000, 1125001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4184175
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 215777 x 216025
Total sieving time: 3.95 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1350000,1350000,27,27,49,49,2.3,2.3,75000
total time: 4.23 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: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

5362765647171864912608824510227527182258184685704261834523201022179084754944556645341581873430918024187631<106>

449254024867847727675909476262097732256487477847<48>
11937045302486433091318474345081585284330222063528243378473<59>

Wed Apr 08 15:53:47 2009  Msieve v. 1.41
Wed Apr 08 15:53:47 2009  random seeds: 55fce73c e1f53e2b
Wed Apr 08 15:53:47 2009  factoring 5362765647171864912608824510227527182258184685704261834523201022179084754944556645341581873430918024187631 (106 digits)
Wed Apr 08 15:53:49 2009  searching for 15-digit factors
Wed Apr 08 15:53:52 2009  commencing number field sieve (106-digit input)
Wed Apr 08 15:53:52 2009  R0: -271133063771250244924
Wed Apr 08 15:53:52 2009  R1:  100195085147
Wed Apr 08 15:53:52 2009  A0: -59425125008032265936367375
Wed Apr 08 15:53:52 2009  A1:  5255982720263690813535
Wed Apr 08 15:53:52 2009  A2:  111647876233073929
Wed Apr 08 15:53:52 2009  A3: -15196907018525
Wed Apr 08 15:53:52 2009  A4: -106597328
Wed Apr 08 15:53:52 2009  A5:  3660
Wed Apr 08 15:53:52 2009  skew 36177.73, size 5.317563e-010, alpha -6.255835, combined = 1.903280e-009
Wed Apr 08 15:53:52 2009  
Wed Apr 08 15:53:52 2009  commencing relation filtering
Wed Apr 08 15:53:52 2009  commencing duplicate removal, pass 1
Wed Apr 08 15:54:41 2009  found 351678 hash collisions in 4591979 relations
Wed Apr 08 15:55:04 2009  added 31407 free relations
Wed Apr 08 15:55:04 2009  commencing duplicate removal, pass 2
Wed Apr 08 15:55:11 2009  found 335788 duplicates and 4287597 unique relations
Wed Apr 08 15:55:11 2009  memory use: 40.3 MB
Wed Apr 08 15:55:11 2009  reading rational ideals above 2555904
Wed Apr 08 15:55:11 2009  reading algebraic ideals above 2555904
Wed Apr 08 15:55:11 2009  commencing singleton removal, pass 1
Wed Apr 08 15:55:58 2009  relations with 0 large ideals: 94646
Wed Apr 08 15:55:58 2009  relations with 1 large ideals: 617918
Wed Apr 08 15:55:58 2009  relations with 2 large ideals: 1486882
Wed Apr 08 15:55:58 2009  relations with 3 large ideals: 1505950
Wed Apr 08 15:55:58 2009  relations with 4 large ideals: 534854
Wed Apr 08 15:55:58 2009  relations with 5 large ideals: 17526
Wed Apr 08 15:55:58 2009  relations with 6 large ideals: 29821
Wed Apr 08 15:55:58 2009  relations with 7+ large ideals: 0
Wed Apr 08 15:55:58 2009  4287597 relations and about 4323015 large ideals
Wed Apr 08 15:55:58 2009  commencing singleton removal, pass 2
Wed Apr 08 15:56:45 2009  found 1956078 singletons
Wed Apr 08 15:56:45 2009  current dataset: 2331519 relations and about 1946125 large ideals
Wed Apr 08 15:56:45 2009  commencing singleton removal, pass 3
Wed Apr 08 15:57:13 2009  found 481565 singletons
Wed Apr 08 15:57:13 2009  current dataset: 1849954 relations and about 1424840 large ideals
Wed Apr 08 15:57:13 2009  commencing singleton removal, final pass
Wed Apr 08 15:57:38 2009  memory use: 33.3 MB
Wed Apr 08 15:57:38 2009  commencing in-memory singleton removal
Wed Apr 08 15:57:38 2009  begin with 1849954 relations and 1464090 unique ideals
Wed Apr 08 15:57:43 2009  reduce to 1493132 relations and 1095577 ideals in 17 passes
Wed Apr 08 15:57:43 2009  max relations containing the same ideal: 15
Wed Apr 08 15:57:43 2009  reading rational ideals above 100000
Wed Apr 08 15:57:43 2009  reading algebraic ideals above 100000
Wed Apr 08 15:57:43 2009  commencing singleton removal, final pass
Wed Apr 08 15:58:20 2009  keeping 1381232 ideals with weight <= 25, new excess is 104356
Wed Apr 08 15:58:23 2009  memory use: 46.6 MB
Wed Apr 08 15:58:23 2009  commencing in-memory singleton removal
Wed Apr 08 15:58:23 2009  begin with 1496135 relations and 1381232 unique ideals
Wed Apr 08 15:58:27 2009  reduce to 1480368 relations and 1350857 ideals in 12 passes
Wed Apr 08 15:58:27 2009  max relations containing the same ideal: 25
Wed Apr 08 15:58:29 2009  relations with 0 large ideals: 3762
Wed Apr 08 15:58:29 2009  relations with 1 large ideals: 37480
Wed Apr 08 15:58:29 2009  relations with 2 large ideals: 160886
Wed Apr 08 15:58:29 2009  relations with 3 large ideals: 359726
Wed Apr 08 15:58:29 2009  relations with 4 large ideals: 446278
Wed Apr 08 15:58:29 2009  relations with 5 large ideals: 312236
Wed Apr 08 15:58:29 2009  relations with 6 large ideals: 127460
Wed Apr 08 15:58:29 2009  relations with 7+ large ideals: 32540
Wed Apr 08 15:58:29 2009  commencing 2-way merge
Wed Apr 08 15:58:32 2009  reduce to 831906 relation sets and 702521 unique ideals
Wed Apr 08 15:58:32 2009  ignored 126 oversize relation sets
Wed Apr 08 15:58:32 2009  commencing full merge
Wed Apr 08 15:58:48 2009  memory use: 53.8 MB
Wed Apr 08 15:58:49 2009  found 362928 cycles, need 348721
Wed Apr 08 15:58:49 2009  weight of 348721 cycles is about 24522820 (70.32/cycle)
Wed Apr 08 15:58:49 2009  distribution of cycle lengths:
Wed Apr 08 15:58:49 2009  1 relations: 38690
Wed Apr 08 15:58:49 2009  2 relations: 37640
Wed Apr 08 15:58:49 2009  3 relations: 37108
Wed Apr 08 15:58:49 2009  4 relations: 33406
Wed Apr 08 15:58:49 2009  5 relations: 30118
Wed Apr 08 15:58:49 2009  6 relations: 26528
Wed Apr 08 15:58:49 2009  7 relations: 23071
Wed Apr 08 15:58:49 2009  8 relations: 19577
Wed Apr 08 15:58:49 2009  9 relations: 16983
Wed Apr 08 15:58:49 2009  10+ relations: 85600
Wed Apr 08 15:58:49 2009  heaviest cycle: 23 relations
Wed Apr 08 15:58:49 2009  commencing cycle optimization
Wed Apr 08 15:58:50 2009  start with 2308529 relations
Wed Apr 08 15:59:03 2009  pruned 63973 relations
Wed Apr 08 15:59:03 2009  memory use: 59.7 MB
Wed Apr 08 15:59:03 2009  distribution of cycle lengths:
Wed Apr 08 15:59:03 2009  1 relations: 38690
Wed Apr 08 15:59:03 2009  2 relations: 38619
Wed Apr 08 15:59:03 2009  3 relations: 38562
Wed Apr 08 15:59:03 2009  4 relations: 34268
Wed Apr 08 15:59:03 2009  5 relations: 31073
Wed Apr 08 15:59:03 2009  6 relations: 26924
Wed Apr 08 15:59:03 2009  7 relations: 23273
Wed Apr 08 15:59:03 2009  8 relations: 19526
Wed Apr 08 15:59:03 2009  9 relations: 17009
Wed Apr 08 15:59:03 2009  10+ relations: 80777
Wed Apr 08 15:59:03 2009  heaviest cycle: 23 relations
Wed Apr 08 15:59:04 2009  RelProcTime: 258
Wed Apr 08 15:59:05 2009  
Wed Apr 08 15:59:05 2009  commencing linear algebra
Wed Apr 08 15:59:05 2009  read 348721 cycles
Wed Apr 08 15:59:07 2009  cycles contain 1241197 unique relations
Wed Apr 08 15:59:29 2009  read 1241197 relations
Wed Apr 08 15:59:33 2009  using 20 quadratic characters above 67107102
Wed Apr 08 15:59:44 2009  building initial matrix
Wed Apr 08 16:00:16 2009  memory use: 133.6 MB
Wed Apr 08 16:00:16 2009  read 348721 cycles
Wed Apr 08 16:00:18 2009  matrix is 348372 x 348721 (98.2 MB) with weight 32653745 (93.64/col)
Wed Apr 08 16:00:18 2009  sparse part has weight 23311371 (66.85/col)
Wed Apr 08 16:00:25 2009  filtering completed in 3 passes
Wed Apr 08 16:00:25 2009  matrix is 345226 x 345426 (97.5 MB) with weight 32393005 (93.78/col)
Wed Apr 08 16:00:25 2009  sparse part has weight 23152847 (67.03/col)
Wed Apr 08 16:00:27 2009  read 345426 cycles
Wed Apr 08 16:00:28 2009  matrix is 345226 x 345426 (97.5 MB) with weight 32393005 (93.78/col)
Wed Apr 08 16:00:28 2009  sparse part has weight 23152847 (67.03/col)
Wed Apr 08 16:00:28 2009  saving the first 48 matrix rows for later
Wed Apr 08 16:00:28 2009  matrix is 345178 x 345426 (93.6 MB) with weight 25761950 (74.58/col)
Wed Apr 08 16:00:28 2009  sparse part has weight 22474477 (65.06/col)
Wed Apr 08 16:00:28 2009  matrix includes 64 packed rows
Wed Apr 08 16:00:28 2009  using block size 65536 for processor cache size 3072 kB
Wed Apr 08 16:00:33 2009  commencing Lanczos iteration
Wed Apr 08 16:00:33 2009  memory use: 91.0 MB
Wed Apr 08 16:20:55 2009  lanczos halted after 5461 iterations (dim = 345178)
Wed Apr 08 16:20:56 2009  recovered 30 nontrivial dependencies
Wed Apr 08 16:20:56 2009  BLanczosTime: 1311
Wed Apr 08 16:20:56 2009  
Wed Apr 08 16:20:56 2009  commencing square root phase
Wed Apr 08 16:20:56 2009  reading relations for dependency 1
Wed Apr 08 16:20:56 2009  read 172900 cycles
Wed Apr 08 16:20:57 2009  cycles contain 761657 unique relations
Wed Apr 08 16:21:06 2009  read 761657 relations
Wed Apr 08 16:21:10 2009  multiplying 618710 relations
Wed Apr 08 16:22:39 2009  multiply complete, coefficients have about 24.39 million bits
Wed Apr 08 16:22:40 2009  initial square root is modulo 10105189
Wed Apr 08 16:24:44 2009  sqrtTime: 228
Wed Apr 08 16:24:44 2009  prp48 factor: 449254024867847727675909476262097732256487477847
Wed Apr 08 16:24:44 2009  prp59 factor: 11937045302486433091318474345081585284330222063528243378473
Wed Apr 08 16:24:44 2009  elapsed time 00:30:57

Msieve v1.41 for Poly search and line sieving
GGNFS for sieving
Msieve for final factorization
total time 13,55 hours

Intel Core 2 Duo T8100
Windows Vista Home Premium 32 bit

57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<152>

3953535681244358031390387279802526646473653843971170017410808979<64>
14614204205080672347139781653275652403689134613732690915539647764779044145671465056087201<89>

Number: 57779_151
N=57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 152 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=3953535681244358031390387279802526646473653843971170017410808979 (pp64)
 r2=14614204205080672347139781653275652403689134613732690915539647764779044145671465056087201 (pp89)
Version: Msieve-1.40
Total time: 15.17 hours.
Scaled time: 39.07 units (timescale=2.575).
Factorization parameters were as follows:
name: 57779_151
n: 57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 2000000000000000000000000000000
deg: 5
c5: 65
c0: 44
skew: 0.92
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 416304 x 416552
Total sieving time: 15.17 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,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 15.17 hours.
 --------- CPU info (if available) ----------

84805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687183<149>

93808864550850625172985855237704776067<38>
904021097507399866702195420272204652716997344737015447439748923511012042343544803174140630732101383321666439749<111>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 84805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687182999820604400084805192687183 (149 digits)
Using B1=2012000, B2=2853999340, polynomial Dickson(6), sigma=853283790
Step 1 took 23687ms
Step 2 took 9922ms
********** Factor found in step 2: 93808864550850625172985855237704776067
Found probable prime factor of 38 digits: 93808864550850625172985855237704776067
Probable prime cofactor 904021097507399866702195420272204652716997344737015447439748923511012042343544803174140630732101383321666439749 has 111 digits

14700041650559466010672832813381002063469358855134283947591049880295228687855696994256445000105441634400101420815978396489308196556313<134>

19627040332408708604436682113596563<35>
748968841027261409761188316700947313844944317053127062144103065053216914230007485726769694669513251<99>

Number: 57779_153
N=14700041650559466010672832813381002063469358855134283947591049880295228687855696994256445000105441634400101420815978396489308196556313
  ( 134 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=19627040332408708604436682113596563
 r2=748968841027261409761188316700947313844944317053127062144103065053216914230007485726769694669513251
Version: 
Total time: 9.99 hours.
Scaled time: 23.80 units (timescale=2.383).
Factorization parameters were as follows:
n: 14700041650559466010672832813381002063469358855134283947591049880295228687855696994256445000105441634400101420815978396489308196556313
m: 10000000000000000000000000000000
deg: 5
c5: 13
c0: 275
skew: 1.84
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7814054
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 480721 x 480969
Total sieving time: 9.06 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 9.99 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: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

17174905547133833686201829165853188941164294376020559094629779979976178551279987548468323356118519181871603715021418206048713273953815661<137>

93050385464681516500046281914738043499239<41>
184576404077904571046705571397602099672425078097604346576358124523939748687222923404111884169099<96>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 17174905547133833686201829165853188941164294376020559094629779979976178551279987548468323356118519181871603715021418206048713273953815661 (137 digits)
Using B1=1262000, B2=1426326730, polynomial Dickson(6), sigma=2614469203
Step 1 took 17378ms
Step 2 took 6412ms
********** Factor found in step 2: 93050385464681516500046281914738043499239
Found probable prime factor of 41 digits: 93050385464681516500046281914738043499239
Probable prime cofactor 184576404077904571046705571397602099672425078097604346576358124523939748687222923404111884169099 has 96 digits

17345475165949497981920677807798792488074985823409720137429534007138330164448447246405817405517195370092398011941692518096000533706928183061476366790086393809<158>

1984602862159222328197712995842323139233<40>
8995729372655953524904434979327475766365640628552961<52>
971574720881561621643707317580907592723358162775265761540357497393<66>

Number: n
N=17345475165949497981920677807798792488074985823409720137429534007138330164448447246405817405517195370092398011941692518096000533706928183061476366790086393809
  ( 158 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1984602862159222328197712995842323139233 (pp40)
 r2=8995729372655953524904434979327475766365640628552961 (pp52)
 r3=971574720881561621643707317580907592723358162775265761540357497393 (pp66)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 20.60 hours.
Scaled time: 54.79 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_7_159_9
n: 17345475165949497981920677807798792488074985823409720137429534007138330164448447246405817405517195370092398011941692518096000533706928183061476366790086393809
m: 100000000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved rational special-q in [1750000, 2850001)
Primes: RFBsize:250150, AFBsize:249882, largePrimes:13781805 encountered
Relations: rels:13310814, finalFF:645052
Max relations in full relation-set: 28
Initial matrix: 500100 x 645052 with sparse part having weight 68070186.
Pruned matrix : 420473 x 423037 with weight 45366021.
Total sieving time: 18.84 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 1.15 hours.
Total square root time: 0.31 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,56,56,2.4,2.4,100000
total time: 20.60 hours.
 --------- CPU info (if available) ----------

7409214400811851559358864890571681062392662479437488681089206894365760226084084298889686619055539375683607782674712805634350769647035555578866083939648227<154>

18928489948339749847018632028593340878665991563<47>
391431879723808945338088267301885408398292615483568378380918267204298704333073286676905854436479613341848329<108>

Number: n
N=7409214400811851559358864890571681062392662479437488681089206894365760226084084298889686619055539375683607782674712805634350769647035555578866083939648227
  ( 154 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sun Apr 12 04:53:40 2009  prp47 factor: 18928489948339749847018632028593340878665991563
Sun Apr 12 04:53:40 2009  prp108 factor: 391431879723808945338088267301885408398292615483568378380918267204298704333073286676905854436479613341848329
Sun Apr 12 04:53:40 2009  elapsed time 00:55:48 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 22.58 hours.
Scaled time: 59.57 units (timescale=2.638).
Factorization parameters were as follows:
name: KA_5_7_160_9
n: 7409214400811851559358864890571681062392662479437488681089206894365760226084084298889686619055539375683607782674712805634350769647035555578866083939648227
m: 200000000000000000000000000000000
deg: 5
c5: 65
c0: 44
skew: 0.92
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1850000, 3250123)
Primes: RFBsize:263397, AFBsize:263373, largePrimes:13742240 encountered
Relations: rels:12753845, finalFF:533425
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1099106 hash collisions in 13613282 relations
Msieve: matrix is 678552 x 678800 (183.0 MB)

Total sieving time: 22.26 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,28,28,56,56,2.4,2.4,100000
total time: 22.58 hours.
 --------- CPU info (if available) ----------

35886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731539<161>

321519970820085608181037744328588516697743<42>
111616141305248804803400290837173564328599235003578090047986807312818902456903064735501933589562639357218054538297354173<120>

Number: n
N=35886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731539
  ( 161 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sun Apr 12 06:15:36 2009  prp42 factor: 321519970820085608181037744328588516697743
Sun Apr 12 06:15:36 2009  prp120 factor: 111616141305248804803400290837173564328599235003578090047986807312818902456903064735501933589562639357218054538297354173
Sun Apr 12 06:15:36 2009  elapsed time 00:52:55 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 30.70 hours.
Scaled time: 81.32 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_7_161_9
n: 35886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731538992408557625948930296756383712905452035886818495514147688060731539
m: 200000000000000000000000000000000
deg: 5
c5: 325
c0: 22
skew: 0.58
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [1900000, 3800113)
Primes: RFBsize:269987, AFBsize:269688, largePrimes:8808225 encountered
Relations: rels:8644280, finalFF:545089
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 881198 hash collisions in 9436045 relations
Msieve: matrix is 699430 x 699678 (186.3 MB)

Total sieving time: 30.47 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 30.70 hours.
 --------- CPU info (if available) ----------

7727898020874389273633226675969318827671185863144042247840595857996178908012693244379155722125782899946146998056281826623324143363217546073<139>

285499687981964450229006620431228817065494664829635261<54>
27067973613206102904512248875476135325093088787990227833361756111499707732578188978893<86>

Number: n
N=7727898020874389273633226675969318827671185863144042247840595857996178908012693244379155722125782899946146998056281826623324143363217546073
  ( 139 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Apr 12 13:31:34 2009  prp54 factor: 285499687981964450229006620431228817065494664829635261
Sun Apr 12 13:31:34 2009  prp86 factor: 27067973613206102904512248875476135325093088787990227833361756111499707732578188978893
Sun Apr 12 13:31:34 2009  elapsed time 01:05:41 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 30.87 hours.
Scaled time: 82.12 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_7_162_9
n: 7727898020874389273633226675969318827671185863144042247840595857996178908012693244379155722125782899946146998056281826623324143363217546073
m: 1000000000000000000000000000000000
deg: 5
c5: 13
c0: 275
skew: 1.84
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2050000, 3861203)
Primes: RFBsize:289774, AFBsize:290078, largePrimes:14963521 encountered
Relations: rels:14071940, finalFF:586784
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1356936 hash collisions in 15148444 relations
Msieve: matrix is 754434 x 754682 (201.5 MB)

Total sieving time: 30.49 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,28,28,56,56,2.4,2.4,100000
total time: 30.87 hours.
 --------- CPU info (if available) ----------

278457363931370693256810083723809311549125447635796682650235234084816134689205258661992118672738189311298709411653514577<120>

947603373792569765729573937197287389869<39>
293854339940673288307735977122722469845978112409126167654289550189645063181598133<81>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 278457363931370693256810083723809311549125447635796682650235234084816134689205258661992118672738189311298709411653514577 (120 digits)
Using B1=2136000, B2=2854078510, polynomial Dickson(6), sigma=2890840773
Step 1 took 23758ms
********** Factor found in step 1: 947603373792569765729573937197287389869
Found probable prime factor of 39 digits: 947603373792569765729573937197287389869
Probable prime cofactor 293854339940673288307735977122722469845978112409126167654289550189645063181598133 has 81 digits

5996856975154919058724890468413883408998447325094790249647861377749782830297948367090644019881202485487017193<109>

42691128655357150982468169102793571554807074883<47>
140470799532314444373497792586935413113578875626021083297673571<63>

Number: n
N=5996856975154919058724890468413883408998447325094790249647861377749782830297948367090644019881202485487017193
  ( 109 digits)
Divisors found:
 r1=42691128655357150982468169102793571554807074883 (pp47)
 r2=140470799532314444373497792586935413113578875626021083297673571 (pp63)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 13.47 hours.
Scaled time: 35.25 units (timescale=2.616).
Factorization parameters were as follows:
name: KA_5_7_165_9
n:5996856975154919058724890468413883408998447325094790249647861377749782830297948367090644019881202485487017193
Y0: -1067795297988797501616
Y1:  164264666753
c0:  8530558915607398247347346489
c1:  242316730277730117495673
c2: -1667914485931205175
c3: -70391702544601
c4: -4927106
c5:  4320
skew: 77192.47
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1600000, 2900001)
Primes: RFBsize:230209, AFBsize:230575, largePrimes:16977985 encountered
Relations: rels:15492064, finalFF:690402
Max relations in full relation-set: 28
Initial matrix: 460861 x 690402 with sparse part having weight 64012452.
Pruned matrix : 306082 x 308450 with weight 37318507.
Total sieving time: 11.29 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.52 hours.
Total square root time: 1.16 hours, sqrts: 5.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,28,28,56,56,2.6,2.6,100000
total time: 13.47 hours.
 --------- CPU info (if available) ----------

2472191929363311566113899520147805286457413223560785065597047238434828374391621498727947661965678444475466010146628383966893721000200248317279<142>

22052280975865092692525800150982807244061830250598730578589972079<65>
112105950947613006602391329605195305461345950480308802909553359992427651958801<78>

Number: n
N=2472191929363311566113899520147805286457413223560785065597047238434828374391621498727947661965678444475466010146628383966893721000200248317279
  ( 142 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue Jun 09 23:43:23 2009  prp65 factor: 22052280975865092692525800150982807244061830250598730578589972079
Tue Jun 09 23:43:23 2009  prp78 factor: 112105950947613006602391329605195305461345950480308802909553359992427651958801
Tue Jun 09 23:43:23 2009  elapsed time 01:16:52 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 47.54 hours.
Scaled time: 125.47 units (timescale=2.639).
Factorization parameters were as follows:
name: KA_5_7_167_9
n: 2472191929363311566113899520147805286457413223560785065597047238434828374391621498727947661965678444475466010146628383966893721000200248317279
m: 10000000000000000000000000000000000
deg: 5
c5: 13
c0: 275
skew: 1.84
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2500000, 5174293)
Primes: RFBsize:348513, AFBsize:348622, largePrimes:16908539 encountered
Relations: rels:16337061, finalFF:749922
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1847517 hash collisions in 18248277 relations
Msieve: matrix is 844859 x 845107 (224.0 MB)

Total sieving time: 47.00 hours.
Total relation processing time: 0.54 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000
total time: 47.54 hours.
 --------- CPU info (if available) ----------

26830252932946670433282633304656708361984848210275832396303656863160017951525807757982726879368734099148688994835598198398948373188659<134>

8664505744431290401102450208330703623<37>
3096570505500625044991977990181851031592172948921210009806769010994433962313317765726822407471733<97>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 26830252932946670433282633304656708361984848210275832396303656863160017951525807757982726879368734099148688994835598198398948373188659 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3033120199
Step 1 took 4243ms
Step 2 took 4227ms
********** Factor found in step 2: 8664505744431290401102450208330703623
Found probable prime factor of 37 digits: 8664505744431290401102450208330703623
Probable prime cofactor 3096570505500625044991977990181851031592172948921210009806769010994433962313317765726822407471733 has 97 digits

Core 2 Quad Q6600

26232826532340174616396030782536403742024779171894580240116176618430395544578653223824530693565262148221344307081659139278883139294194258399<140>

1384043175592590791779988490628039252546224441313<49>
18953763144786541147617457620635507938370840235018892429764096556061105082071258607729791423<92>

Number: 57779_171
N=26232826532340174616396030782536403742024779171894580240116176618430395544578653223824530693565262148221344307081659139278883139294194258399
  ( 140 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=1384043175592590791779988490628039252546224441313 (pp49)
 r2=18953763144786541147617457620635507938370840235018892429764096556061105082071258607729791423 (pp92)
Version: Msieve-1.40
Total time: 75.57 hours.
Scaled time: 198.52 units (timescale=2.627).
Factorization parameters were as follows:
name: 57779_171
n: 26232826532340174616396030782536403742024779171894580240116176618430395544578653223824530693565262148221344307081659139278883139294194258399
m: 10000000000000000000000000000000000
deg: 5
c5: 520
c0: 11
skew: 0.46
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 954817 x 955065
Total sieving time: 73.23 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.92 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 75.57 hours.
 --------- CPU info (if available) ----------

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

97450780107039141260457072613462534480633327041513829548037360610763669539962170088778288463915365246494973<107>

118145920262199525963524190015546715838352113676563<51>
824834068673450927934822305182677949265824343092447793071<57>

Thu Apr 09 17:24:45 2009  Msieve v. 1.41
Thu Apr 09 17:24:45 2009  random seeds: ae9280b0 10196da0
Thu Apr 09 17:24:45 2009  factoring 97450780107039141260457072613462534480633327041513829548037360610763669539962170088778288463915365246494973 (107 digits)
Thu Apr 09 17:24:47 2009  searching for 15-digit factors
Thu Apr 09 17:24:49 2009  commencing number field sieve (107-digit input)
Thu Apr 09 17:24:49 2009  R0: -583560684231641996834
Thu Apr 09 17:24:49 2009  R1:  78488406179
Thu Apr 09 17:24:49 2009  A0: -27278358361861303319170275
Thu Apr 09 17:24:50 2009  A1:  3917602922717724100809
Thu Apr 09 17:24:50 2009  A2:  311529443604860231
Thu Apr 09 17:24:50 2009  A3: -1660678779952
Thu Apr 09 17:24:50 2009  A4: -179866821
Thu Apr 09 17:24:50 2009  A5:  1440
Thu Apr 09 17:24:50 2009  skew 39860.96, size 3.272186e-010, alpha -4.805594, combined = 1.441065e-009
Thu Apr 09 17:24:50 2009  
Thu Apr 09 17:24:50 2009  commencing relation filtering
Thu Apr 09 17:24:50 2009  commencing duplicate removal, pass 1
Thu Apr 09 17:26:03 2009  found 423914 hash collisions in 5084040 relations
Thu Apr 09 17:26:30 2009  added 34695 free relations
Thu Apr 09 17:26:30 2009  commencing duplicate removal, pass 2
Thu Apr 09 17:26:42 2009  found 407648 duplicates and 4711086 unique relations
Thu Apr 09 17:26:42 2009  memory use: 41.3 MB
Thu Apr 09 17:26:42 2009  reading rational ideals above 2949120
Thu Apr 09 17:26:42 2009  reading algebraic ideals above 2949120
Thu Apr 09 17:26:42 2009  commencing singleton removal, pass 1
Thu Apr 09 17:27:46 2009  relations with 0 large ideals: 116858
Thu Apr 09 17:27:46 2009  relations with 1 large ideals: 738043
Thu Apr 09 17:27:46 2009  relations with 2 large ideals: 1692634
Thu Apr 09 17:27:46 2009  relations with 3 large ideals: 1613036
Thu Apr 09 17:27:46 2009  relations with 4 large ideals: 515175
Thu Apr 09 17:27:46 2009  relations with 5 large ideals: 2472
Thu Apr 09 17:27:46 2009  relations with 6 large ideals: 32868
Thu Apr 09 17:27:46 2009  relations with 7+ large ideals: 0
Thu Apr 09 17:27:46 2009  4711086 relations and about 4612394 large ideals
Thu Apr 09 17:27:46 2009  commencing singleton removal, pass 2
Thu Apr 09 17:28:51 2009  found 2070067 singletons
Thu Apr 09 17:28:51 2009  current dataset: 2641019 relations and about 2113480 large ideals
Thu Apr 09 17:28:51 2009  commencing singleton removal, pass 3
Thu Apr 09 17:29:29 2009  found 489447 singletons
Thu Apr 09 17:29:29 2009  current dataset: 2151572 relations and about 1588891 large ideals
Thu Apr 09 17:29:29 2009  commencing singleton removal, final pass
Thu Apr 09 17:30:04 2009  memory use: 33.4 MB
Thu Apr 09 17:30:04 2009  commencing in-memory singleton removal
Thu Apr 09 17:30:04 2009  begin with 2151572 relations and 1635870 unique ideals
Thu Apr 09 17:30:08 2009  reduce to 1811566 relations and 1286231 ideals in 14 passes
Thu Apr 09 17:30:08 2009  max relations containing the same ideal: 42
Thu Apr 09 17:30:08 2009  reading rational ideals above 100000
Thu Apr 09 17:30:08 2009  reading algebraic ideals above 100000
Thu Apr 09 17:30:08 2009  commencing singleton removal, final pass
Thu Apr 09 17:30:48 2009  keeping 1637389 ideals with weight <= 25, new excess is 128075
Thu Apr 09 17:30:52 2009  memory use: 47.7 MB
Thu Apr 09 17:30:52 2009  commencing in-memory singleton removal
Thu Apr 09 17:30:53 2009  begin with 1820656 relations and 1637389 unique ideals
Thu Apr 09 17:30:56 2009  reduce to 1801170 relations and 1573710 ideals in 11 passes
Thu Apr 09 17:30:56 2009  max relations containing the same ideal: 25
Thu Apr 09 17:30:58 2009  removing 290398 relations and 250951 ideals in 39447 cliques
Thu Apr 09 17:30:58 2009  commencing in-memory singleton removal
Thu Apr 09 17:30:58 2009  begin with 1510772 relations and 1573710 unique ideals
Thu Apr 09 17:31:01 2009  reduce to 1480022 relations and 1291204 ideals in 9 passes
Thu Apr 09 17:31:01 2009  max relations containing the same ideal: 25
Thu Apr 09 17:31:02 2009  removing 217191 relations and 177744 ideals in 39447 cliques
Thu Apr 09 17:31:02 2009  commencing in-memory singleton removal
Thu Apr 09 17:31:02 2009  begin with 1262831 relations and 1291204 unique ideals
Thu Apr 09 17:31:04 2009  reduce to 1240337 relations and 1090388 ideals in 8 passes
Thu Apr 09 17:31:04 2009  max relations containing the same ideal: 25
Thu Apr 09 17:31:05 2009  relations with 0 large ideals: 5419
Thu Apr 09 17:31:05 2009  relations with 1 large ideals: 46967
Thu Apr 09 17:31:05 2009  relations with 2 large ideals: 172417
Thu Apr 09 17:31:05 2009  relations with 3 large ideals: 329391
Thu Apr 09 17:31:05 2009  relations with 4 large ideals: 356668
Thu Apr 09 17:31:05 2009  relations with 5 large ideals: 223079
Thu Apr 09 17:31:05 2009  relations with 6 large ideals: 85257
Thu Apr 09 17:31:05 2009  relations with 7+ large ideals: 21139
Thu Apr 09 17:31:05 2009  commencing 2-way merge
Thu Apr 09 17:31:07 2009  reduce to 751009 relation sets and 601060 unique ideals
Thu Apr 09 17:31:07 2009  commencing full merge
Thu Apr 09 17:31:23 2009  memory use: 50.7 MB
Thu Apr 09 17:31:24 2009  found 355008 cycles, need 335260
Thu Apr 09 17:31:24 2009  weight of 335260 cycles is about 23712374 (70.73/cycle)
Thu Apr 09 17:31:24 2009  distribution of cycle lengths:
Thu Apr 09 17:31:24 2009  1 relations: 32881
Thu Apr 09 17:31:24 2009  2 relations: 33611
Thu Apr 09 17:31:24 2009  3 relations: 33970
Thu Apr 09 17:31:24 2009  4 relations: 31832
Thu Apr 09 17:31:24 2009  5 relations: 30348
Thu Apr 09 17:31:24 2009  6 relations: 26986
Thu Apr 09 17:31:24 2009  7 relations: 24661
Thu Apr 09 17:31:24 2009  8 relations: 21895
Thu Apr 09 17:31:24 2009  9 relations: 19028
Thu Apr 09 17:31:24 2009  10+ relations: 80048
Thu Apr 09 17:31:24 2009  heaviest cycle: 19 relations
Thu Apr 09 17:31:24 2009  commencing cycle optimization
Thu Apr 09 17:31:25 2009  start with 2173536 relations
Thu Apr 09 17:31:35 2009  pruned 66094 relations
Thu Apr 09 17:31:35 2009  memory use: 55.2 MB
Thu Apr 09 17:31:35 2009  distribution of cycle lengths:
Thu Apr 09 17:31:35 2009  1 relations: 32881
Thu Apr 09 17:31:35 2009  2 relations: 34444
Thu Apr 09 17:31:35 2009  3 relations: 35444
Thu Apr 09 17:31:35 2009  4 relations: 32852
Thu Apr 09 17:31:35 2009  5 relations: 31506
Thu Apr 09 17:31:35 2009  6 relations: 27645
Thu Apr 09 17:31:35 2009  7 relations: 25198
Thu Apr 09 17:31:35 2009  8 relations: 22193
Thu Apr 09 17:31:35 2009  9 relations: 19286
Thu Apr 09 17:31:35 2009  10+ relations: 73811
Thu Apr 09 17:31:35 2009  heaviest cycle: 19 relations
Thu Apr 09 17:31:36 2009  RelProcTime: 305
Thu Apr 09 17:31:36 2009  
Thu Apr 09 17:31:36 2009  commencing linear algebra
Thu Apr 09 17:31:36 2009  read 335260 cycles
Thu Apr 09 17:31:37 2009  cycles contain 1123030 unique relations
Thu Apr 09 17:31:54 2009  read 1123030 relations
Thu Apr 09 17:31:57 2009  using 20 quadratic characters above 87500574
Thu Apr 09 17:32:07 2009  building initial matrix
Thu Apr 09 17:32:32 2009  memory use: 125.5 MB
Thu Apr 09 17:32:33 2009  read 335260 cycles
Thu Apr 09 17:32:34 2009  matrix is 335062 x 335260 (94.9 MB) with weight 31928740 (95.24/col)
Thu Apr 09 17:32:34 2009  sparse part has weight 22524397 (67.18/col)
Thu Apr 09 17:32:41 2009  filtering completed in 2 passes
Thu Apr 09 17:32:41 2009  matrix is 333741 x 333937 (94.7 MB) with weight 31851832 (95.38/col)
Thu Apr 09 17:32:41 2009  sparse part has weight 22487289 (67.34/col)
Thu Apr 09 17:32:42 2009  read 333937 cycles
Thu Apr 09 17:32:43 2009  matrix is 333741 x 333937 (94.7 MB) with weight 31851832 (95.38/col)
Thu Apr 09 17:32:43 2009  sparse part has weight 22487289 (67.34/col)
Thu Apr 09 17:32:43 2009  saving the first 48 matrix rows for later
Thu Apr 09 17:32:44 2009  matrix is 333693 x 333937 (91.4 MB) with weight 25249537 (75.61/col)
Thu Apr 09 17:32:44 2009  sparse part has weight 21955093 (65.75/col)
Thu Apr 09 17:32:44 2009  matrix includes 64 packed rows
Thu Apr 09 17:32:44 2009  using block size 65536 for processor cache size 3072 kB
Thu Apr 09 17:32:49 2009  commencing Lanczos iteration
Thu Apr 09 17:32:49 2009  memory use: 88.4 MB
Thu Apr 09 17:49:15 2009  lanczos halted after 5279 iterations (dim = 333693)
Thu Apr 09 17:49:16 2009  recovered 33 nontrivial dependencies
Thu Apr 09 17:49:16 2009  BLanczosTime: 1060
Thu Apr 09 17:49:16 2009  
Thu Apr 09 17:49:16 2009  commencing square root phase
Thu Apr 09 17:49:16 2009  reading relations for dependency 1
Thu Apr 09 17:49:17 2009  read 166851 cycles
Thu Apr 09 17:49:17 2009  cycles contain 696453 unique relations
Thu Apr 09 17:49:26 2009  read 696453 relations
Thu Apr 09 17:49:29 2009  multiplying 561498 relations
Thu Apr 09 17:50:54 2009  multiply complete, coefficients have about 21.70 million bits
Thu Apr 09 17:50:55 2009  initial square root is modulo 1709443
Thu Apr 09 17:52:58 2009  reading relations for dependency 2
Thu Apr 09 17:52:58 2009  read 167207 cycles
Thu Apr 09 17:52:59 2009  cycles contain 697067 unique relations
Thu Apr 09 17:53:07 2009  read 697067 relations
Thu Apr 09 17:53:11 2009  multiplying 561526 relations
Thu Apr 09 17:54:35 2009  multiply complete, coefficients have about 21.70 million bits
Thu Apr 09 17:54:36 2009  initial square root is modulo 1712237
Thu Apr 09 17:56:39 2009  sqrtTime: 443
Thu Apr 09 17:56:39 2009  prp51 factor: 118145920262199525963524190015546715838352113676563
Thu Apr 09 17:56:39 2009  prp57 factor: 824834068673450927934822305182677949265824343092447793071
Thu Apr 09 17:56:39 2009  elapsed time 00:31:54
total time for Polysearch + Sieving + factorization ~ 10 hours

Msieve v1.41 / GGNFS / Msieve

Intel Core 2 Duo T8100
Windows Vista Home Premium 32 bit

979284369114877589453860640301318267419962335216572504708097928436911487758945386064030131826741996233521657250470809792843691148775894538606403013182674199623352165725047081<174>

221396733866059271753457736994463053326306135043477879714218658472367433821816422859<84>
4423210550645817710188763098309667499105730033402825302895493919405103994634059074107437659<91>

Number: 57779_175
N=979284369114877589453860640301318267419962335216572504708097928436911487758945386064030131826741996233521657250470809792843691148775894538606403013182674199623352165725047081
  ( 174 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=221396733866059271753457736994463053326306135043477879714218658472367433821816422859 (pp84)
 r2=4423210550645817710188763098309667499105730033402825302895493919405103994634059074107437659 (pp91)
Version: Msieve-1.39
Total time: 59.74 hours.
Scaled time: 103.90 units (timescale=1.739).
Factorization parameters were as follows:
n: 979284369114877589453860640301318267419962335216572504708097928436911487758945386064030131826741996233521657250470809792843691148775894538606403013182674199623352165725047081
m: 100000000000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1140797 x 1141045
Total sieving time: 59.74 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,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 59.74 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

454259558560177617779846921361715173579765664626557554784539730910269919284694065785462429495021909268968827720489447274128826216236820811168122913020946479<156>

13817864090562759775463260897296749<35>
32874802906074682710099327376859541591327599127860507098654769921357006793231766047838923169451077279541075207899454597771<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1630770380
Step 1 took 26162ms
Step 2 took 14336ms
********** Factor found in step 2: 13817864090562759775463260897296749
Found probable prime factor of 35 digits: 13817864090562759775463260897296749
Probable prime cofactor 32874802906074682710099327376859541591327599127860507098654769921357006793231766047838923169451077279541075207899454597771 has 122 digits

GMP-ECM 6.3

319989821539102344714749708461259940774514756502991917132685772874732251253877299877418891793014437960375328952735671469760463943052673477477055477004659082842237<162>

806137474728691800620384616292701058135493680401339191<54>
396942000056250906842104481434267090943271909645357894300384306698448318468745337145764114390304351458556907<108>

Number: 57779_179
N = 319989821539102344714749708461259940774514756502991917132685772874732251253877299877418891793014437960375328952735671469760463943052673477477055477004659082842237 (162 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=806137474728691800620384616292701058135493680401339191 (pp54)
r2=396942000056250906842104481434267090943271909645357894300384306698448318468745337145764114390304351458556907 (pp108)
Version: Msieve v. 1.52 (SVN 945M)
Total time: 63.29 hours.
Factorization parameters were as follows:
n: 319989821539102344714749708461259940774514756502991917132685772874732251253877299877418891793014437960375328952735671469760463943052673477477055477004659082842237
m: 1000000000000000000000000000000000000
deg: 5
c5: 26
c0: 55
skew: 1.16
# Murphy_E = 8.689e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18537482
Relations: 2426936 relations
Pruned matrix : 1465077 x 1465303
Polynomial selection time: 0.00 hours.
Total sieving time: 58.45 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.26 hours.
time per square root: 1.36 hours.
Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,400000
total time: 63.29 hours.
x86 Family 16 Model 4 Stepping 3, AuthenticAMD
Windows-XP-5.1.2600-SP3
processors: 4, speed: 3.20GHz

825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397<180>

85953570641100435302364859126378100802894940416504268380526330442075309405460436217<83>
9602821840215038595051714729650614572066911996666266197149048428837644236481298696881375472096541<97>

Number: 57779_180
N=825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397
  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=85953570641100435302364859126378100802894940416504268380526330442075309405460436217 (pp83)
 r2=9602821840215038595051714729650614572066911996666266197149048428837644236481298696881375472096541 (pp97)
Version: Msieve-1.39
Total time: 110.43 hours.
Scaled time: 192.03 units (timescale=1.739).
Factorization parameters were as follows:
n: 825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397
m: 1000000000000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1404538 x 1404784
Total sieving time: 110.43 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,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 110.43 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

40600451277665603438462039829671810932492997712468478849840455596499272861676146916196939261839959572308339955745357337707<122>

760709516823435322284803971154506765518059289320909<51>
53371819833679274984631391612038926591773108484753524753906129523475223<71>

Number: 57779_183
N=40600451277665603438462039829671810932492997712468478849840455596499272861676146916196939261839959572308339955745357337707
  ( 122 digits)
Divisors found:
 r1=760709516823435322284803971154506765518059289320909 (pp51)
 r2=53371819833679274984631391612038926591773108484753524753906129523475223 (pp71)
Version: Msieve-1.39
Total time: 51.53 hours.
Scaled time: 132.99 units (timescale=2.581).
Factorization parameters were as follows:
# Murphy_E = 2.262445e-10, selected by Jeff Gilchrist
n: 40600451277665603438462039829671810932492997712468478849840455596499272861676146916196939261839959572308339955745357337707
Y0: -293254863654452879987050
Y1: 12192311360713
c0: -63029949335627363746734079251
c1: -30365307533505781597878895
c2: -1310763885392580973715
c3: -1061241013495825
c4: -1142314074
c5: 18720
skew: 203548.67
type: gnfs
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2900000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 818639 x 818887
Total sieving time: 51.53 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:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5800000,5800000,27,27,52,52,2.5,2.5,60000
total time: 51.53 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

14367949773352767504160287086418222293936920643890168065744923886876788743447106028433409545498395313701405890004372518368221760073621692004123445178844058155789490277053121<173>

1094700579329323482106728665966591787710617253254442123579<58>
13125004265691902403494538072782099685092861862058429203158851643738081267982317343563819725598829370542692523957299<116>

Number: n
N=14367949773352767504160287086418222293936920643890168065744923886876788743447106028433409545498395313701405890004372518368221760073621692004123445178844058155789490277053121
  ( 173 digits)
SNFS difficulty: 186 digits.
Divisors found:

Thu Mar  1 12:54:51 2012  prp58 factor: 1094700579329323482106728665966591787710617253254442123579
Thu Mar  1 12:54:51 2012  prp116 factor: 13125004265691902403494538072782099685092861862058429203158851643738081267982317343563819725598829370542692523957299
Thu Mar  1 12:54:51 2012  elapsed time 02:59:52 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_57779_185
n: 14367949773352767504160287086418222293936920643890168065744923886876788743447106028433409545498395313701405890004372518368221760073621692004123445178844058155789490277053121
m: 10000000000000000000000000000000000000
#  c173, diff: 186.72
skew: 0.73
deg: 5
c5: 52
c0: 11
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, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7717207 hash collisions in 76733024 relations (73822996 unique)
Msieve: matrix is 1147418 x 1147666 (316.6 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,186,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5596.93 BogoMIPS (lpj=2798468)
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.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

850275022273526508950787929423837456979149768472564151329136016091651013839321534164957900022144758897404556751385617169590443615131971758507569810481709742171595539280637571530817<180>

1716425302770739265757963591170662811029416159659747067418019548434103<70>
495375488173572244929186018809198155482937346999002461944403770600659782193168299108126772676930523942039613639<111>

Number: 7
N=850275022273526508950787929423837456979149768472564151329136016091651013839321534164957900022144758897404556751385617169590443615131971758507569810481709742171595539280637571530817
  ( 180 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=1716425302770739265757963591170662811029416159659747067418019548434103 (pp70)
 r2=495375488173572244929186018809198155482937346999002461944403770600659782193168299108126772676930523942039613639 (pp111)
Version: Msieve-1.40
Total time: 217.48 hours.
Scaled time: 378.19 units (timescale=1.739).
Factorization parameters were as follows:
n: 850275022273526508950787929423837456979149768472564151329136016091651013839321534164957900022144758897404556751385617169590443615131971758507569810481709742171595539280637571530817
m: 10000000000000000000000000000000000000
deg: 5
c5: 520
c0: 11
skew: 0.46
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4700000, 8100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1706431 x 1706657
Total sieving time: 212.10 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.41 hours.
Time per square root: 0.73 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 217.48 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

6680327917921064470952338226135813177165519879704950879436895192756660079126769081156168671790604501141644924019994404588787703961038954281261276127479384115549084286780412199<175>

1824767457211570631862985305939127<34>
10446242100594102842148530539385555571768077<44>

350453310906396888589767735021720520358922067752771017588399992504440561489872205040583750418440981<99>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3171087648
Step 1 took 10156ms
Step 2 took 7035ms
********** Factor found in step 2: 1824767457211570631862985305939127
Found probable prime factor of 34 digits: 1824767457211570631862985305939127
Composite cofactor 3660920130682997644945294349595060632778278566834492668527532641688064805041432219702159236882672486969532479224568436144478705629400044363537 has 142 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2441302492
Step 1 took 30389ms
Step 2 took 15991ms
********** Factor found in step 2: 10446242100594102842148530539385555571768077
Found probable prime factor of 44 digits: 10446242100594102842148530539385555571768077

GMP-ECM 6.3

350453310906396888589767735021720520358922067752771017588399992504440561489872205040583750418440981<99>

762652753919703260289828404252277733<36>
459518842756705961489942018812796401730751084677997578884249457<63>

Divisors found:
 r1=762652753919703260289828404252277733 (pp36)
 r2=459518842756705961489942018812796401730751084677997578884249457 (pp63)
Version: Msieve v. 1.49 SVN548 option -D density
Total time: 2.47 hours.
Scaled time: 5.92 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  350453310906396888589767735021720520358922067752771017588399992504440561489872205040583750418440981
skew:  10344913.28
Y0:  -1554818627283168872580359
Y1:   27630145934921
c0:   250663654753789470396382089792
c1:   81728809854166446927458
c2:  -9393387357784361
c3:  -1865337988
c4:   60
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [937500, 1497501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 203266 x 203491
Total sieving time: 2.30 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,98,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,46,46,2.5,2.5,70000
total time: 2.47 hours.

11312926582629569735706825148931447422166875763212917695378460963807918703953528423373129743219702130852404196787051012831774445251<131>

81794757600323035554827444059633541274214747<44>
138308699903585154803319669716002943598265094204006724265991671763585624304306433563833<87>

Mon Apr 20 19:08:11 2009  
Mon Apr 20 19:08:11 2009  
Mon Apr 20 19:08:11 2009  Msieve v. 1.41
Mon Apr 20 19:08:11 2009  random seeds: 87569ffc 473e86b3
Mon Apr 20 19:08:11 2009  factoring 11312926582629569735706825148931447422166875763212917695378460963807918703953528423373129743219702130852404196787051012831774445251 (131 digits)
Mon Apr 20 19:08:12 2009  searching for 15-digit factors
Mon Apr 20 19:08:14 2009  commencing number field sieve (131-digit input)
Mon Apr 20 19:08:14 2009  R0: -12083212830902574969747860
Mon Apr 20 19:08:14 2009  R1:  213108260669881
Mon Apr 20 19:08:14 2009  A0:  56090967640472498013392023696851
Mon Apr 20 19:08:14 2009  A1:  332754979081695566842805070
Mon Apr 20 19:08:14 2009  A2: -1465196442719012042647
Mon Apr 20 19:08:14 2009  A3: -25753535061241090
Mon Apr 20 19:08:14 2009  A4:  2934479696
Mon Apr 20 19:08:14 2009  A5:  43920
Mon Apr 20 19:08:14 2009  skew 392473.78, size 1.303298e-012, alpha -6.358696, combined = 6.937147e-011
Mon Apr 20 19:08:14 2009  
Mon Apr 20 19:08:14 2009  commencing relation filtering
Mon Apr 20 19:08:14 2009  commencing duplicate removal, pass 1
Mon Apr 20 19:10:10 2009  error -15 reading relation 9581126
Mon Apr 20 19:10:11 2009  error -15 reading relation 9725613
Mon Apr 20 19:11:18 2009  found 3444048 hash collisions in 15840366 relations
Mon Apr 20 19:11:59 2009  added 104414 free relations
Mon Apr 20 19:11:59 2009  commencing duplicate removal, pass 2
Mon Apr 20 19:13:09 2009  found 3625670 duplicates and 12319109 unique relations
Mon Apr 20 19:13:09 2009  memory use: 106.6 MB
Mon Apr 20 19:13:09 2009  reading rational ideals above 10420224
Mon Apr 20 19:13:09 2009  reading algebraic ideals above 10420224
Mon Apr 20 19:13:09 2009  commencing singleton removal, pass 1
Mon Apr 20 19:16:02 2009  relations with 0 large ideals: 374026
Mon Apr 20 19:16:02 2009  relations with 1 large ideals: 2578236
Mon Apr 20 19:16:02 2009  relations with 2 large ideals: 5243824
Mon Apr 20 19:16:02 2009  relations with 3 large ideals: 3361638
Mon Apr 20 19:16:02 2009  relations with 4 large ideals: 647320
Mon Apr 20 19:16:02 2009  relations with 5 large ideals: 15067
Mon Apr 20 19:16:02 2009  relations with 6 large ideals: 98994
Mon Apr 20 19:16:02 2009  relations with 7+ large ideals: 4
Mon Apr 20 19:16:02 2009  12319109 relations and about 11869560 large ideals
Mon Apr 20 19:16:02 2009  commencing singleton removal, pass 2
Mon Apr 20 19:18:33 2009  found 5868335 singletons
Mon Apr 20 19:18:33 2009  current dataset: 6450774 relations and about 4791520 large ideals
Mon Apr 20 19:18:33 2009  commencing singleton removal, pass 3
Mon Apr 20 19:20:20 2009  found 1098994 singletons
Mon Apr 20 19:20:20 2009  current dataset: 5351780 relations and about 3626493 large ideals
Mon Apr 20 19:20:20 2009  commencing singleton removal, pass 4
Mon Apr 20 19:21:59 2009  found 274520 singletons
Mon Apr 20 19:21:59 2009  current dataset: 5077260 relations and about 3346643 large ideals
Mon Apr 20 19:21:59 2009  commencing singleton removal, final pass
Mon Apr 20 19:23:46 2009  memory use: 74.7 MB
Mon Apr 20 19:23:46 2009  commencing in-memory singleton removal
Mon Apr 20 19:23:46 2009  begin with 5077260 relations and 3647012 unique ideals
Mon Apr 20 19:23:52 2009  reduce to 4263128 relations and 2811805 ideals in 14 passes
Mon Apr 20 19:23:52 2009  max relations containing the same ideal: 23
Mon Apr 20 19:23:53 2009  reading rational ideals above 720000
Mon Apr 20 19:23:53 2009  reading algebraic ideals above 720000
Mon Apr 20 19:23:53 2009  commencing singleton removal, final pass
Mon Apr 20 19:25:41 2009  keeping 4000705 ideals with weight <= 20, new excess is 343752
Mon Apr 20 19:25:46 2009  memory use: 128.7 MB
Mon Apr 20 19:25:46 2009  commencing in-memory singleton removal
Mon Apr 20 19:25:47 2009  begin with 4290130 relations and 4000705 unique ideals
Mon Apr 20 19:25:54 2009  reduce to 4190944 relations and 3768298 ideals in 12 passes
Mon Apr 20 19:25:54 2009  max relations containing the same ideal: 20
Mon Apr 20 19:25:57 2009  removing 149756 relations and 137809 ideals in 11947 cliques
Mon Apr 20 19:25:57 2009  commencing in-memory singleton removal
Mon Apr 20 19:25:58 2009  begin with 4041188 relations and 3768298 unique ideals
Mon Apr 20 19:26:02 2009  reduce to 4037824 relations and 3627111 ideals in 8 passes
Mon Apr 20 19:26:02 2009  max relations containing the same ideal: 20
Mon Apr 20 19:26:05 2009  removing 110736 relations and 98789 ideals in 11947 cliques
Mon Apr 20 19:26:05 2009  commencing in-memory singleton removal
Mon Apr 20 19:26:06 2009  begin with 3927088 relations and 3627111 unique ideals
Mon Apr 20 19:26:10 2009  reduce to 3925129 relations and 3526358 ideals in 7 passes
Mon Apr 20 19:26:10 2009  max relations containing the same ideal: 20
Mon Apr 20 19:26:11 2009  relations with 0 large ideals: 8781
Mon Apr 20 19:26:11 2009  relations with 1 large ideals: 84877
Mon Apr 20 19:26:11 2009  relations with 2 large ideals: 374180
Mon Apr 20 19:26:11 2009  relations with 3 large ideals: 893493
Mon Apr 20 19:26:11 2009  relations with 4 large ideals: 1203750
Mon Apr 20 19:26:11 2009  relations with 5 large ideals: 907674
Mon Apr 20 19:26:11 2009  relations with 6 large ideals: 366841
Mon Apr 20 19:26:11 2009  relations with 7+ large ideals: 85533
Mon Apr 20 19:26:11 2009  commencing 2-way merge
Mon Apr 20 19:26:15 2009  reduce to 2337038 relation sets and 1938267 unique ideals
Mon Apr 20 19:26:15 2009  commencing full merge
Mon Apr 20 19:26:54 2009  memory use: 175.7 MB
Mon Apr 20 19:26:55 2009  found 1180571 cycles, need 1128467
Mon Apr 20 19:26:55 2009  weight of 1128467 cycles is about 79026752 (70.03/cycle)
Mon Apr 20 19:26:55 2009  distribution of cycle lengths:
Mon Apr 20 19:26:55 2009  1 relations: 128978
Mon Apr 20 19:26:55 2009  2 relations: 137710
Mon Apr 20 19:26:55 2009  3 relations: 137141
Mon Apr 20 19:26:55 2009  4 relations: 123799
Mon Apr 20 19:26:55 2009  5 relations: 109162
Mon Apr 20 19:26:55 2009  6 relations: 93570
Mon Apr 20 19:26:55 2009  7 relations: 78142
Mon Apr 20 19:26:55 2009  8 relations: 66063
Mon Apr 20 19:26:55 2009  9 relations: 55092
Mon Apr 20 19:26:55 2009  10+ relations: 198810
Mon Apr 20 19:26:55 2009  heaviest cycle: 19 relations
Mon Apr 20 19:26:55 2009  commencing cycle optimization
Mon Apr 20 19:26:58 2009  start with 6454929 relations
Mon Apr 20 19:27:15 2009  pruned 170048 relations
Mon Apr 20 19:27:15 2009  memory use: 171.3 MB
Mon Apr 20 19:27:15 2009  distribution of cycle lengths:
Mon Apr 20 19:27:15 2009  1 relations: 128978
Mon Apr 20 19:27:15 2009  2 relations: 141126
Mon Apr 20 19:27:15 2009  3 relations: 142718
Mon Apr 20 19:27:15 2009  4 relations: 126930
Mon Apr 20 19:27:15 2009  5 relations: 112065
Mon Apr 20 19:27:15 2009  6 relations: 94751
Mon Apr 20 19:27:15 2009  7 relations: 78734
Mon Apr 20 19:27:15 2009  8 relations: 65542
Mon Apr 20 19:27:15 2009  9 relations: 54402
Mon Apr 20 19:27:15 2009  10+ relations: 183221
Mon Apr 20 19:27:15 2009  heaviest cycle: 19 relations
Mon Apr 20 19:27:17 2009  RelProcTime: 895
Mon Apr 20 19:27:17 2009  
Mon Apr 20 19:27:17 2009  commencing linear algebra
Mon Apr 20 19:27:17 2009  read 1128467 cycles
Mon Apr 20 19:27:20 2009  cycles contain 3583964 unique relations
Mon Apr 20 19:28:27 2009  read 3583964 relations
Mon Apr 20 19:28:33 2009  using 20 quadratic characters above 268430840
Mon Apr 20 19:28:56 2009  building initial matrix
Mon Apr 20 19:29:53 2009  memory use: 407.2 MB
Mon Apr 20 19:30:05 2009  read 1128467 cycles
Mon Apr 20 19:30:25 2009  matrix is 1128216 x 1128467 (323.7 MB) with weight 105969391 (93.91/col)
Mon Apr 20 19:30:25 2009  sparse part has weight 75825912 (67.19/col)
Mon Apr 20 19:30:49 2009  filtering completed in 3 passes
Mon Apr 20 19:30:49 2009  matrix is 1122687 x 1122887 (322.9 MB) with weight 105636528 (94.08/col)
Mon Apr 20 19:30:49 2009  sparse part has weight 75655471 (67.38/col)
Mon Apr 20 19:30:55 2009  read 1122887 cycles
Mon Apr 20 19:30:56 2009  matrix is 1122687 x 1122887 (322.9 MB) with weight 105636528 (94.08/col)
Mon Apr 20 19:30:56 2009  sparse part has weight 75655471 (67.38/col)
Mon Apr 20 19:30:56 2009  saving the first 48 matrix rows for later
Mon Apr 20 19:30:57 2009  matrix is 1122639 x 1122887 (309.2 MB) with weight 84191763 (74.98/col)
Mon Apr 20 19:30:57 2009  sparse part has weight 74309659 (66.18/col)
Mon Apr 20 19:30:57 2009  matrix includes 64 packed rows
Mon Apr 20 19:30:57 2009  using block size 65536 for processor cache size 3072 kB
Mon Apr 20 19:31:07 2009  commencing Lanczos iteration
Mon Apr 20 19:31:07 2009  memory use: 307.1 MB
Mon Apr 20 22:47:31 2009  lanczos halted after 17753 iterations (dim = 1122639)
Mon Apr 20 22:47:34 2009  recovered 30 nontrivial dependencies
Mon Apr 20 22:47:34 2009  BLanczosTime: 12017
Mon Apr 20 22:47:34 2009  
Mon Apr 20 22:47:34 2009  commencing square root phase
Mon Apr 20 22:47:34 2009  reading relations for dependency 1
Mon Apr 20 22:47:35 2009  read 560536 cycles
Mon Apr 20 22:47:36 2009  cycles contain 2179676 unique relations
Mon Apr 20 22:48:35 2009  read 2179676 relations
Mon Apr 20 22:48:49 2009  multiplying 1789248 relations
Mon Apr 20 22:55:12 2009  multiply complete, coefficients have about 83.73 million bits
Mon Apr 20 22:55:16 2009  initial square root is modulo 1023313
Mon Apr 20 23:03:42 2009  reading relations for dependency 2
Mon Apr 20 23:03:43 2009  read 562605 cycles
Mon Apr 20 23:03:44 2009  cycles contain 2184477 unique relations
Mon Apr 20 23:04:41 2009  read 2184477 relations
Mon Apr 20 23:04:55 2009  multiplying 1793096 relations
Mon Apr 20 23:11:28 2009  multiply complete, coefficients have about 83.91 million bits
Mon Apr 20 23:11:31 2009  initial square root is modulo 1054013
Mon Apr 20 23:20:00 2009  reading relations for dependency 3
Mon Apr 20 23:20:01 2009  read 561085 cycles
Mon Apr 20 23:20:02 2009  cycles contain 2178671 unique relations
Mon Apr 20 23:20:59 2009  read 2178671 relations
Mon Apr 20 23:21:13 2009  multiplying 1788758 relations
Mon Apr 20 23:27:36 2009  multiply complete, coefficients have about 83.70 million bits
Mon Apr 20 23:27:40 2009  initial square root is modulo 1017953
Mon Apr 20 23:36:06 2009  sqrtTime: 2912
Mon Apr 20 23:36:06 2009  prp44 factor: 81794757600323035554827444059633541274214747
Mon Apr 20 23:36:06 2009  prp87 factor: 138308699903585154803319669716002943598265094204006724265991671763585624304306433563833
Mon Apr 20 23:36:06 2009  elapsed time 04:27:55
total time 191,26 hours

Msieve v1.41 / GGNFS / Msieve

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

2948944136223071744975311099428755494535096121401224832604887421222076476329335812714826327039038916421819237663914507841072326824673361904065176202247662536443562029622143848360755678277<187>

30801606174199913457588213935842219<35>

95739946791903685132248909040386648829197591890573936370776635152212693642358749880570399774978728195176825298861308146931074602792034098577412749483983<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3691768300
Step 1 took 69848ms
Step 2 took 22050ms
********** Factor found in step 2: 30801606174199913457588213935842219
Found probable prime factor of 35 digits: 30801606174199913457588213935842219
Composite cofactor 95739946791903685132248909040386648829197591890573936370776635152212693642358749880570399774978728195176825298861308146931074602792034098577412749483983 has 152 digits

GMP-ECM 6.2.1

95739946791903685132248909040386648829197591890573936370776635152212693642358749880570399774978728195176825298861308146931074602792034098577412749483983<152>

139232156123891619253797023831664739673973782320396469<54>
687628127418441491216453834091779132777580721981441114238887417700522471918400366168808866618072307<99>

Factors: 139232156123891619253797023831664739673973782320396469 687628127418441491216453834091779132777580721981441114238887417700522471918400366168808866618072307
Info:Square Root: Total cpu/real time for sqrt: 3049.21/817.267
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55018783
Info:Lattice Sieving: Average J: 3792.36 for 581772 special-q, max bucket fill -bkmult 1.0,1s:1.233360
Info:Lattice Sieving: Total time: 275246s
Info:Quadratic Characters: Total cpu/real time for characters: 96.43/45.5797
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 774.02/223.265
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 187.7s
Info:Linear Algebra: Total cpu/real time for bwc: 72023.5/21036.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 40614.47, WCT time 10409.77, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (67000 iterations)
Info:Linear Algebra: Lingen CPU time 881.21, WCT time 114.43
Info:Linear Algebra: Mksol: CPU time 29378.9,  WCT time 10178.38, iteration CPU time 0.25, COMM 0.03, cpu-wait 0.02, comm-wait 0.0 (34000 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 130.56/220.285
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 220.2s
Info:Filtering - Merging: Total cpu/real time for merge: 342.25/54.8479
Info:Filtering - Merging: Total cpu/real time for replay: 66.08/55.4082
Info:Generate Free Relations: Total cpu/real time for freerel: 623.62/80.7597
Info:Generate Factor Base: Total cpu/real time for makefb: 37.25/6.87218
Info:Square Root: Total cpu/real time for sqrt: 3049.21/817.267
Info:Filtering - Singleton removal: Total cpu/real time for purge: 227.45/82.106
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.57733e+06/30417.9
Info:root: Cleaning up computation data in /tmp/cado.cwbc8w5o
139232156123891619253797023831664739673973782320396469 687628127418441491216453834091779132777580721981441114238887417700522471918400366168808866618072307

CADO-NFS

4096258766726720740667971559804242320204762210193078789573643799991234200087502956062556651081059596297406481786892826487203960221239970957<139>

2727985128384338877226234355709214137188729920210732997<55>
1501569317261178732934223988499952127540587214432302584379188371432287562361156400681<85>

7^2*179*2543*5333*12227*42331*67399*1578877607*215291080296945318383*2727985128384338877226234355709214137188729920210732997*1501569317261178732934223988499952127540587214432302584379188371432287562361156400681

Info:root: Using default parameter file ./parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.dumloh4v
Info:Database: Opened connection to database /tmp/cado.dumloh4v/c140.db
Info:root: Set tasks.threads=12 based on detected logical cpus
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/ng/cado-nfs-2.3.0
Info:root: Command line parameters: ./cado-nfs.py 4096258766726720740667971559804242320204762210193078789573643799991234200087502956062556651081059596297406481786892826487203960221239970957
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.dumloh4v/c140.parameters_snapshot.0
Info:Server Launcher: Adding ng-All-Series to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,ng-All-Series
Info:Complete Factorization: Factoring 4096258766726720740667971559804242320204762210193078789573643799991234200087502956062556651081059596297406481786892826487203960221239970957
Info:HTTP server: serving at https://ng-All-Series:43683 (0.0.0.0)
Info:HTTP server: For debugging purposes, the URL above can be accessed if the server.only_registered=False parameter is added
Info:HTTP server: You can start additional cado-nfs-client.py scripts with parameters: --server=https://ng-All-Series:43683 --certsha1=7b1ccbdb787d92826cef09d1a053de06ae560508
Info:HTTP server: If you want to start additional clients, remember to add their hosts to server.whitelist
Info:Client Launcher: Starting client id localhost on host localhost
Info:Client Launcher: Starting client id localhost+2 on host localhost
Info:Client Launcher: Starting client id localhost+3 on host localhost
Info:Client Launcher: Starting client id localhost+4 on host localhost
Info:Client Launcher: Starting client id localhost+5 on host localhost
Info:Client Launcher: Starting client id localhost+6 on host localhost
Info:Client Launcher: Running clients: localhost (Host localhost, PID 24353), localhost+2 (Host localhost, PID 24356), localhost+3 (Host localhost, PID 24359), localhost+4 (Host localhost, PID 24362), localhost+5 (Host localhost, PID 24365), localhost+6 (Host localhost, PID 24368)
Info:Polynomial Selection (size optimized): Starting
Info:Polynomial Selection (size optimized): 0 polynomials in queue from previous run
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_0-4000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_4000-8000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_8000-12000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_12000-16000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_16000-20000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_20000-24000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_24000-28000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_28000-32000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_32000-36000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_36000-40000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_0-4000 to client localhost
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_4000-8000 to client localhost+2
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_8000-12000 to client localhost+3
Warning:HTTP server: 127.0.0.1 Connection error: [Errno 104] Connection reset by peer
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_12000-16000 to client localhost+4
Warning:HTTP server: 127.0.0.1 Connection error: [Errno 104] Connection reset by peer
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_16000-20000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_20000-24000 to client localhost+6
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_40000-44000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_44000-48000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_48000-52000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_52000-56000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_56000-60000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_60000-64000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_24000-28000 to client localhost+4
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_64000-68000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_28000-32000 to client localhost+6
Info:Polynomial Selection (size optimized): Parsed 694 polynomials, added 283 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.690000
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_12000-16000 as ok (1.0% => ETA Unknown)
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_68000-72000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_32000-36000 to client localhost+3
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_36000-40000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_40000-44000 to client localhost
Info:Polynomial Selection (size optimized): Parsed 632 polynomials, added 72 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.400000
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_8000-12000 as ok (2.0% => ETA Mon Apr  8 02:37:44 2019)
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_72000-76000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_76000-80000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_80000-84000 to database
Info:Polynomial Selection (size optimized): Parsed 670 polynomials, added 60 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.190000
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_0-4000 as ok (3.0% => ETA Mon Apr  8 00:17:20 2019)
...EJ: 425 similar lines
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_388000-392000 as ok (99.0% => ETA Sun Apr  7 23:03:33 2019)
Info:Polynomial Selection (size optimized): Parsed 657 polynomials, added 0 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_396000-400000 as ok (100.0% => ETA Sun Apr  7 23:03:01 2019)
Info:Polynomial Selection (size optimized): Finished
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66679/41.060/49.910/55.390/0.970
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66679/40.440/44.621/50.570/1.208
Info:Polynomial Selection (size optimized): Total time: 47474.6
Info:Polynomial Selection (root optimized): Starting
Info:Polynomial Selection (root optimized): No polynomial was previously found
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_0 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_6 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_12 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_18 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_24 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_30 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_36 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_42 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_48 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_54 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_0 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_6 to client localhost+2
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_60 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_66 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_12 to client localhost+6
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_72 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_18 to client localhost+4
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_78 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_24 to client localhost+3
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_84 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_30 to client localhost
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_90 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_36 to client localhost+5
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_96 to database
Info:Polynomial Selection (root optimized): New best polynomial from file /tmp/cado.dumloh4v/c140.upload/c140.polyselect2.5gnpt21g.opt_0: Murphy E = 7.23e-10
Info:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_0 as ok (4.0% => ETA Unknown)
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_42 to client localhost+2
Info:Polynomial Selection (root optimized): Best polynomial from file /tmp/cado.dumloh4v/c140.upload/c140.polyselect2.zb006qtu.opt_6 with E=6.75e-10 is no better than current best with E=7.23e-10
Info:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_6 as ok (10.0% => ETA Sun Apr  7 23:47:45 2019)
...EJ: 39 similar lines
Info:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_84 as ok (100.0% => ETA Sun Apr  7 23:13:43 2019)
Info:Polynomial Selection (root optimized): Finished, best polynomial from file /tmp/cado.dumloh4v/c140.upload/c140.polyselect2.ynv7lg9b.opt_78 has Murphy_E = 9.09e-10
Info:Polynomial Selection (root optimized): Best overall polynomial was 4-th in list after size optimization
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6477.44
Info:Polynomial Selection (root optimized): Rootsieve time: 6475.4
Info:Generate Factor Base: Starting
Info:Generate Factor Base: Finished
Info:Generate Factor Base: Total cpu/real time for makefb: 23.05/2.50351
Info:Generate Free Relations: Starting
Info:Generate Free Relations: Found 121619 free relations
Info:Generate Free Relations: Finished
Info:Generate Free Relations: Total cpu/real time for freerel: 279.33/24.2255
Info:Lattice Sieving: Starting
Info:Lattice Sieving: We want 25172582 relations
Info:Lattice Sieving: Adding workunit c140_sieving_10122724-10130000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10130000-10140000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10140000-10150000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10150000-10160000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10160000-10170000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10170000-10180000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10180000-10190000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10190000-10200000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10200000-10210000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10210000-10220000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10122724-10130000 to client localhost+5
Info:Lattice Sieving: Adding workunit c140_sieving_10220000-10230000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10130000-10140000 to client localhost+6
Info:Lattice Sieving: Adding workunit c140_sieving_10230000-10240000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10140000-10150000 to client localhost+2
Info:Lattice Sieving: Adding workunit c140_sieving_10240000-10250000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10150000-10160000 to client localhost
Info:Lattice Sieving: Adding workunit c140_sieving_10250000-10260000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10160000-10170000 to client localhost+4
Info:Lattice Sieving: Adding workunit c140_sieving_10260000-10270000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10170000-10180000 to client localhost+3
Info:Lattice Sieving: Adding workunit c140_sieving_10270000-10280000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10180000-10190000 to client localhost+5
Info:Lattice Sieving: Adding workunit c140_sieving_10280000-10290000 to database
Info:Lattice Sieving: Found 16859 relations in '/tmp/cado.dumloh4v/c140.upload/c140.10122724-10130000.81dozt08.gz', total is now 16859/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_10122724-10130000 as ok (0.1% => ETA Unknown)
...EJ: 5084 similar lines
Info:Lattice Sieving: Marking workunit c140_sieving_22830000-22840000 as ok (99.9% => ETA Tue Apr  9 10:18:19 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22900000-22910000 to client localhost+5
Info:Lattice Sieving: Adding workunit c140_sieving_23000000-23010000 to database
Info:Lattice Sieving: Found 19825 relations in '/tmp/cado.dumloh4v/c140.upload/c140.22840000-22850000.1l78zoi0.gz', total is now 25164871/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_22840000-22850000 as ok (100.0% => ETA Tue Apr  9 10:19:02 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22910000-22920000 to client localhost+4
Info:Lattice Sieving: Adding workunit c140_sieving_23010000-23020000 to database
Info:Lattice Sieving: Found 16490 relations in '/tmp/cado.dumloh4v/c140.upload/c140.22850000-22860000.fqatm1wo.gz', total is now 25181361/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_22850000-22860000 as ok (100.0% => ETA Tue Apr  9 10:18:15 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22920000-22930000 to client localhost+6
Info:Lattice Sieving: Adding workunit c140_sieving_23020000-23030000 to database
Info:Lattice Sieving: Reached target of 25172582 relations, now have 25181361
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25181361
Info:Lattice Sieving: Average J: 3796.64 for 767750 special-q, max bucket fill: 0.641141
Info:Lattice Sieving: Total CPU time: 1.45846e+06s
Info:Filtering - Duplicate Removal, splitting pass: Starting
Info:Filtering - Duplicate Removal, splitting pass: Splitting 1274 new files
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22930000-22940000 to client localhost
Info:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 12589042, 1: 12592319
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 119.98/218.024
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 217.8s
Info:Filtering - Duplicate Removal, removal pass: Starting
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22940000-22950000 to client localhost+2
Info:Filtering - Duplicate Removal, removal pass: 10620435 unique relations remain on slice 0
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22950000-22960000 to client localhost+3
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22960000-22970000 to client localhost+5
Info:Filtering - Duplicate Removal, removal pass: 10627469 unique relations remain on slice 1
Info:Filtering - Duplicate Removal, removal pass: Of 25181361 newly added relations 21247904 were unique (ratio 0.843795)
Info:Filtering - Duplicate Removal, removal pass: 21247904 unique relations remain in total
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 510.13/344.031
Info:Filtering - Singleton removal: Starting
Info:Filtering - Singleton removal: Reading 21247904 unique and 121619 free relations, total 21369523
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22970000-22980000 to client localhost+4
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22980000-22990000 to client localhost+6
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_22990000-23000000 to client localhost
Info:Filtering - Singleton removal: After purge, 7680837 relations with 7680677 primes remain with weight 149669493 and excess 160
Info:Filtering - Singleton removal: Have enough relations
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Cancelling remaining workunits
Info:Client Launcher: Stopped client localhost (Host localhost, PID 24353)
Info:Client Launcher: Stopped client localhost+2 (Host localhost, PID 24356)
Info:Client Launcher: Stopped client localhost+3 (Host localhost, PID 24359)
Info:Client Launcher: Stopped client localhost+4 (Host localhost, PID 24362)
Info:Client Launcher: Stopped client localhost+5 (Host localhost, PID 24365)
Info:Client Launcher: Stopped client localhost+6 (Host localhost, PID 24368)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 271.27/227.75
Info:Filtering - Merging: Starting
Info:Filtering - Merging: Merged matrix has 1884580 rows and total weight 320379166 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 900.88/820.854
Info:Filtering - Merging: Total cpu/real time for replay: 67.64/52.9529
Info:Linear Algebra: Starting
Info:Linear Algebra: krylov: N=1000 ; ETA (N=59000): Tue Apr  9 13:58:04 2019 [0.190 s/iter]
Info:Linear Algebra: krylov: N=2000 ; ETA (N=59000): Tue Apr  9 14:00:24 2019 [0.193 s/iter]
...EJ: 56 similar lines
Info:Linear Algebra: krylov: N=58000 ; ETA (N=59000): Tue Apr  9 14:07:17 2019 [0.200 s/iter]
Info:Linear Algebra: krylov: N=59000 ; ETA (N=59000): Tue Apr  9 14:07:18 2019 [0.200 s/iter]
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:07:36 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:09:34 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:36 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:37 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:43 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:42 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:42 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:43 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:42 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:42 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:42 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:42 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:43 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:39 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:43 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:45 2019
Info:Linear Algebra: lingen ETA: Tue Apr  9 14:08:37 2019
Info:Linear Algebra: mksol: N=1000 ; ETA (N=30000): Tue Apr  9 15:55:03 2019 [0.213 s/iter]
Info:Linear Algebra: mksol: N=2000 ; ETA (N=30000): Tue Apr  9 15:56:20 2019 [0.215 s/iter]
...EJ: 27 similar lines
Info:Linear Algebra: mksol: N=29000 ; ETA (N=30000): Tue Apr  9 15:57:22 2019 [0.217 s/iter]
Info:Linear Algebra: mksol: N=30000 ; ETA (N=30000): Tue Apr  9 15:57:14 2019 [0.217 s/iter]
Info:Linear Algebra: Total cpu/real time for bwc: 197767/0.000303268
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11782.47
Info:Linear Algebra: Lingen CPU time 678.7, WCT time 78.32
Info:Linear Algebra: Mksol: WCT time 6517.32
Info:Quadratic Characters: Starting
Info:Quadratic Characters: Total cpu/real time for characters: 75.81/17.7919
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 2727985128384338877226234355709214137188729920210732997 1501569317261178732934223988499952127540587214432302584379188371432287562361156400681
Info:Square Root: Total cpu/real time for sqrt: 4652.6/677.083
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66679/41.060/49.910/55.390/0.970
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66679/40.440/44.621/50.570/1.208
Info:Polynomial Selection (size optimized): Total time: 47474.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6477.44
Info:Polynomial Selection (root optimized): Rootsieve time: 6475.4
Info:Generate Factor Base: Total cpu/real time for makefb: 23.05/2.50351
Info:Generate Free Relations: Total cpu/real time for freerel: 279.33/24.2255
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25181361
Info:Lattice Sieving: Average J: 3796.64 for 767750 special-q, max bucket fill: 0.641141
Info:Lattice Sieving: Total CPU time: 1.45846e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 119.98/218.024
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 217.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 510.13/344.031
Info:Filtering - Singleton removal: Total cpu/real time for purge: 271.27/227.75
Info:Filtering - Merging: Total cpu/real time for merge: 900.88/820.854
Info:Filtering - Merging: Total cpu/real time for replay: 67.64/52.9529
Info:Linear Algebra: Total cpu/real time for bwc: 197767/0.000303268
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11782.47
Info:Linear Algebra: Lingen CPU time 678.7, WCT time 78.32
Info:Linear Algebra: Mksol: WCT time 6517.32
Info:Quadratic Characters: Total cpu/real time for characters: 75.81/17.7919
Info:Square Root: Total cpu/real time for sqrt: 4652.6/677.083
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.71708e+06/151986
Info:root: Cleaning up computation data in /tmp/cado.dumloh4v
2727985128384338877226234355709214137188729920210732997 1501569317261178732934223988499952127540587214432302584379188371432287562361156400681

cado-nfs-2.3.0

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

1754574006598501120047610152965012787044290889255161195209887450770936940749106565781599680304769419086485533348447997375615488109684519479026285650318630571194701774806215751214631<181>

87244349890144603968163064213665993740350954064677383351884623041<65>
20111033079022385100616684401814366721213812661838967053995427184592162734480797650379219003117903675009135201141991<116>

N=1754574006598501120047610152965012787044290889255161195209887450770936940749106565781599680304769419086485533348447997375615488109684519479026285650318630571194701774806215751214631
  ( 181 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=87244349890144603968163064213665993740350954064677383351884623041 (pp65)
 r2=20111033079022385100616684401814366721213812661838967053995427184592162734480797650379219003117903675009135201141991 (pp116)
Version: Msieve v. 1.48
Total time:
Scaled time: 38.65 units (timescale=0.676).
Factorization parameters were as follows:
n: 1754574006598501120047610152965012787044290889255161195209887450770936940749106565781599680304769419086485533348447997375615488109684519479026285650318630571194701774806215751214631
m: 200000000000000000000000000000000000000
deg: 5
c5: 1625
c0: 11
skew: 0.37
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6150000, 23430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2736800 x 2737025
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time:

1535294795451139595886314052708190749759991532583431747912571414163956149388437191857475883533467584822308523440715590570137747823882026133676208592791447441903669919625521467328633421<184>

2538726774876900598971683617606194579270793<43>
604749912690223999355112664837667034619451749468524005693011508638677307207378236727628551798120190959885838313915982478418158916639918290597<141>

p43 factor: 2538726774876900598971683617606194579270793
p141 factor: 604749912690223999355112664837667034619451749468524005693011508638677307207378236727628551798120190959885838313915982478418158916639918290597


Msieve v. 1.54 (SVN 1034)
random seeds: a5814b1a bc2e5b0f
factoring 1535294795451139595886314052708190749759991532583431747912571414163956149388437191857475883533467584822308523440715590570137747823882026133676208592791447441903669919625521467328633421 (184 digits)
searching for 15-digit factors
commencing number field sieve (184-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 26
skew 1.00, size 8.873e-14, alpha 1.168, combined = 1.861e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 614734 hash collisions in 36704439 relations
added 727458 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37431897 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1237.9 MB
keeping 40171122 ideals with weight <= 200, target excess is 197183
commencing in-memory singleton removal
begin with 37431897 relations and 40171122 unique ideals
reduce to 14290430 relations and 13069624 ideals in 14 passes
max relations containing the same ideal: 110
removing 2147819 relations and 1747819 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12142611 relations and 13069624 unique ideals
reduce to 11863102 relations and 11032339 ideals in 9 passes
max relations containing the same ideal: 98
removing 1730507 relations and 1330507 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10132595 relations and 11032339 unique ideals
reduce to 9912462 relations and 9473973 ideals in 10 passes
max relations containing the same ideal: 85
removing 1002129 relations and 792373 ideals in 209756 cliques
commencing in-memory singleton removal
begin with 8910333 relations and 9473973 unique ideals
reduce to 8824667 relations and 8594147 ideals in 8 passes
max relations containing the same ideal: 80
relations with 0 large ideals: 4061
relations with 1 large ideals: 8092
relations with 2 large ideals: 73621
relations with 3 large ideals: 366165
relations with 4 large ideals: 1098127
relations with 5 large ideals: 2042162
relations with 6 large ideals: 2486276
relations with 7+ large ideals: 2746163
commencing 2-way merge
reduce to 5478653 relation sets and 5248132 unique ideals
commencing full merge
memory use: 619.9 MB
found 2563750 cycles, need 2540332
weight of 2540332 cycles is about 228976405 (90.14/cycle)
distribution of cycle lengths:
1 relations: 219969
2 relations: 221980
3 relations: 229436
4 relations: 222396
5 relations: 212744
6 relations: 196209
7 relations: 182718
8 relations: 163932
9 relations: 146795
10+ relations: 744153
heaviest cycle: 28 relations
commencing cycle optimization
start with 18581953 relations
pruned 625741 relations
memory use: 549.9 MB
distribution of cycle lengths:
1 relations: 219969
2 relations: 227406
3 relations: 238209
4 relations: 229757
5 relations: 220580
6 relations: 202294
7 relations: 187925
8 relations: 167751
9 relations: 149054
10+ relations: 697387
heaviest cycle: 27 relations
RelProcTime: 986
elapsed time 00:16:27


Msieve v. 1.54 (SVN 1034)
random seeds: f8048637 2b88868d
factoring 1535294795451139595886314052708190749759991532583431747912571414163956149388437191857475883533467584822308523440715590570137747823882026133676208592791447441903669919625521467328633421 (184 digits)
searching for 15-digit factors
commencing number field sieve (184-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 26
skew 1.00, size 8.873e-14, alpha 1.168, combined = 1.861e-11 rroots = 1

commencing linear algebra
read 2540332 cycles
cycles contain 8644649 unique relations
read 8644649 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1065.9 MB
read 2540332 cycles
matrix is 2540155 x 2540332 (933.5 MB) with weight 273216860 (107.55/col)
sparse part has weight 216760811 (85.33/col)
filtering completed in 2 passes
matrix is 2539346 x 2539523 (933.4 MB) with weight 273186493 (107.57/col)
sparse part has weight 216748959 (85.35/col)
matrix starts at (0, 0)
matrix is 2539346 x 2539523 (933.4 MB) with weight 273186493 (107.57/col)
sparse part has weight 216748959 (85.35/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2539298 x 2539523 (884.0 MB) with weight 224050007 (88.23/col)
sparse part has weight 206338310 (81.25/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 841.9 MB
linear algebra at 0.1%, ETA 3h14m
checkpointing every 820000 dimensions
lanczos halted after 40158 iterations (dim = 2539296)
recovered 36 nontrivial dependencies
BLanczosTime: 11240
elapsed time 03:07:21


Msieve v. 1.54 (SVN 1034)
random seeds: 317757ee 58524297
factoring 1535294795451139595886314052708190749759991532583431747912571414163956149388437191857475883533467584822308523440715590570137747823882026133676208592791447441903669919625521467328633421 (184 digits)
searching for 15-digit factors
commencing number field sieve (184-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 26
skew 1.00, size 8.873e-14, alpha 1.168, combined = 1.861e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1269892 cycles
cycles contain 4323622 unique relations
read 4323622 relations
multiplying 4323622 relations
multiply complete, coefficients have about 117.66 million bits
initial square root is modulo 278761781
GCD is N, no factor found
reading relations for dependency 2
read 1269916 cycles
cycles contain 4320104 unique relations
read 4320104 relations
multiplying 4320104 relations
multiply complete, coefficients have about 117.56 million bits
initial square root is modulo 274316741
sqrtTime: 458
p43 factor: 2538726774876900598971683617606194579270793
p141 factor: 604749912690223999355112664837667034619451749468524005693011508638677307207378236727628551798120190959885838313915982478418158916639918290597
elapsed time 00:07:39

CADO-NFS/Msieve

2507206647322814436500135705744273279758691833540728488771499003385289025126313519686362630082299794459178069117751368048682483007039121<136>

124983585212975494444207599696457<33>
632394553174014976691291963192884507171937573<45>
31721157876312680245539261007036254938393070660760364592661<59>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 2507206647322814436500135705744273279758691833540728488771499003385289025126313519686362630082299794459178069117751368048682483007039121 (136 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1013880214
Step 1 took 43353ms
Step 2 took 14523ms
********** Factor found in step 2: 124983585212975494444207599696457
Found probable prime factor of 33 digits: 124983585212975494444207599696457
Composite cofactor 20060287461353143260577074732985834740382233133179282303851165223232505606725814342567316225784265951753 has 104 digits

Number: 57779_197
N=20060287461353143260577074732985834740382233133179282303851165223232505606725814342567316225784265951753
  ( 104 digits)
Divisors found:
 r1=632394553174014976691291963192884507171937573 (pp45)
 r2=31721157876312680245539261007036254938393070660760364592661 (pp59)
Version: Msieve v. 1.41
Total time: 9.76 hours.
Scaled time: 8.73 units (timescale=0.895).
Factorization parameters were as follows:
name: 57779_197
n: 20060287461353143260577074732985834740382233133179282303851165223232505606725814342567316225784265951753
skew: 9162.82
# norm 1.56e+014
c5: 37800
c4: -971408292
c3: 5500669569536
c2: 114106733298595240
c1: -205004754396022467272
c0: -1438295962118762891247067
# alpha -5.92
Y1: 136309959109
Y0: -55587167437977075996
# Murphy_E 2.26e-009
# M 5905042831134496601099371153764024483475550021478620361667233147008724041134572060710188437332295219513
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, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 299270 x 299518
Polynomial selection time: 0.64 hours.
Total sieving time: 8.52 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 9.76 hours.
 --------- CPU info (if available) ----------

GMP-ECM, GGNFS, Msieve

23578716065480863098125363280145146250357829092329593351374346477921993023692559507418141856809333168237338230976971732358195032331242078031690748417282618527658756933<167>

17173388301948652142273432100110188397<38>

1372979848292686829625320198654853670591592871906627973741064067674509800948751118067871037675548779501663018681229581827312376889<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3710027529
Step 1 took 19444ms
Step 2 took 8209ms
********** Factor found in step 2: 17173388301948652142273432100110188397
Found probable prime factor of 38 digits: 17173388301948652142273432100110188397

1372979848292686829625320198654853670591592871906627973741064067674509800948751118067871037675548779501663018681229581827312376889<130>

7144950128877905893431522566584348164679845883790087<52>
192160872158293064501375248193647545534755632000351121467983448056514090784447<78>

Number: 57779_198
N = 1372979848292686829625320198654853670591592871906627973741064067674509800948751118067871037675548779501663018681229581827312376889 (130 digits)
Divisors found:
r1=7144950128877905893431522566584348164679845883790087 (pp52)
r2=192160872158293064501375248193647545534755632000351121467983448056514090784447 (pp78)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 45.06 hours.
Factorization parameters were as follows:
# Murphy_E = 8.847e-11, selected by Erik Branger
# expecting poly E from 9.38e-011 to > 1.08e-010
n: 1372979848292686829625320198654853670591592871906627973741064067674509800948751118067871037675548779501663018681229581827312376889
Y0: -12709637372577106273180996
Y1: 66330606301981
c0: -26593022298097012710909774371223
c1: 285591881540291252170206841
c2: 470987732082305041466
c3: -5037843439441889
c4: -3609273351
c5: 4140
skew: 463761.46
type: gnfs
# selected mechanically
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17173131
Relations: 2404764 relations
Pruned matrix : 1389900 x 1390130
Polynomial selection time: 0.00 hours.
Total sieving time: 43.50 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.35 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,9300000,9300000,28,28,53,53,2.5,2.5,100000
total time: 45.06 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

481106710208268919854254606596665571381055880615797009068611325765618817745923774383375837009109138833029636427538857069325838738764269957<138>

1786826983403462415473402018217405391<37>
269251983922852962675309422494691188138974240910425994172961541962117182925129658737872261636387448427<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1647347969
Step 1 took 42593ms
Step 2 took 14619ms
********** Factor found in step 2: 1786826983403462415473402018217405391
Found probable prime factor of 37 digits: 1786826983403462415473402018217405391
Probable prime cofactor 269251983922852962675309422494691188138974240910425994172961541962117182925129658737872261636387448427 has 102 digits

GMP-ECM 6.2.1

192592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<201>

8075439109054338741026365424340286769<37>
46072334646769181132736381886218495737461<41>
517646417427145438243223197026762870951002843055646221049761620790442362955715502310129467442320445073950466702993889063677<123>

Number: 57779_200
N=192592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
  ( 201 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=8075439109054338741026365424340286769
 r2=46072334646769181132736381886218495737461
 r3=517646417427145438243223197026762870951002843055646221049761620790442362955715502310129467442320445073950466702993889063677
Version: 
Total time: 724.79 hours.
Scaled time: 1437.98 units (timescale=1.984).
Factorization parameters were as follows:
n: 192592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
m: 10000000000000000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8050000, 15150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2550504 x 2550752
Total sieving time: 724.79 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,201,5,0,0,0,0,0,0,0,0,16100000,16100000,29,29,56,56,2.6,2.6,100000
total time: 724.79 hours.
 --------- CPU info (if available) ----------

10034714322296884356285619617557739649722858558192948644840777065120085619270202243877907630840613808037072866113174981681821979922466393838222265448683918270339449298737497855562251797612934438001<197>

327574010996440651174881028085255183<36>
30633426295854463882304563603886870527666531320541302771617844658424271598181095302778430382149016907140565796158720390106944926598693879577187939072797793406847<161>

C197=P36*P161
C197=327574010996440651174881028085255183<36>*30633426295854463882304563603886870527666531320541302771617844658424271598181095302778430382149016907140565796158720390106944926598693879577187939072797793406847<161>

ECMNET

6320813095810260882609775699407235820251225494595994068133016940031786168650237091271100812013676146402840462370536918884780435555008277553932810308847732914863497081700457574209<178>

782271622665477987349436323566027562129876309243678648367<57>
8080074634783503724005493690056413567209827340382286719440277161173555455470276525648222601852289833485516744858800214927<121>

Number: n
N=6320813095810260882609775699407235820251225494595994068133016940031786168650237091271100812013676146402840462370536918884780435555008277553932810308847732914863497081700457574209  ( 178 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Oct 10 02:48:10 2021  p57 factor: 782271622665477987349436323566027562129876309243678648367
Sun Oct 10 02:48:10 2021  p121 factor: 8080074634783503724005493690056413567209827340382286719440277161173555455470276525648222601852289833485516744858800214927
Sun Oct 10 02:48:10 2021  elapsed time 02:08:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 52x10^202+11 = 57(201)9
#
n: 6320813095810260882609775699407235820251225494595994068133016940031786168650237091271100812013676146402840462370536918884780435555008277553932810308847732914863497081700457574209
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5200
c0: 11
skew: 0.29
# Murphy_E = 9.61e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10714085 hash collisions in 66832020 relations (58487343 unique)
Msieve: matrix is 2374550 x 2374779 (813.6 MB)

Sieving start time : 2021/10/09 09:29:51
Sieving end time  : 2021/10/10 00:38:20

Total sieving time: 15hrs 8min 29secs.

Total relation processing time: 1hrs 48min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 20sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

6127639627839019211107367731831304154648706882882909770846489930259277304680725947284367031526601863782705940009818102856441260469530490180735726734467473744991827<163>

17162394224705000291562445933501688176441694775416173248272983098282401<71>
357038741076019394119569865081231946183877895877516590464506708527656146783850286275970567027<93>

Number: n
N=6127639627839019211107367731831304154648706882882909770846489930259277304680725947284367031526601863782705940009818102856441260469530490180735726734467473744991827  ( 163 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat Sep  9 02:11:57 2023  prp71 factor: 17162394224705000291562445933501688176441694775416173248272983098282401
Sat Sep  9 02:11:57 2023  prp93 factor: 357038741076019394119569865081231946183877895877516590464506708527656146783850286275970567027
Sat Sep  9 02:11:57 2023  elapsed time 03:14:09 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 52x10^203+11 = 57(202)9
#
n: 6127639627839019211107367731831304154648706882882909770846489930259277304680725947284367031526601863782705940009818102856441260469530490180735726734467473744991827
m: 20000000000000000000000000000000000000000
deg: 5
c5: 1625
c0: 11
skew: 0.37
# Murphy_E = 9.603e-12
type: snfs
lss: 1
rlim: 18100000
alim: 18100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3459287 hash collisions in 18223701 relations (15405051 unique)
Msieve: matrix is 2474142 x 2474367 (695.1 MB)

Sieving start time: 2023/09/08 04:22:33
Sieving end time  : 2023/09/08 22:57:23

Total sieving time: 18hrs 34min 50secs.

Total relation processing time: 3hrs 5min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 15sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18100000,18100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397<204>

3489796835931103361689260396347023065416395122343361<52>
236517156786464756205308903707715975525031761922301258980101045633547768238421296759011363918993807438685658380715328301003618543542563650318286959170677<153>

Msieve v. 1.41
Mon Jun 15 11:30:04 2009
random seeds: 15203ffb 1cd35f9e
factoring 825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397 (204 digits)
searching for 15-digit factors
commencing number field sieve (204-digit input)
R0: -100000000000000000000000000000000000000000
R1:  1
A0:  55
A1:  0
A2:  0
A3:  0
A4:  0
A5:  26
skew 1.16, size 2.311556e-14, alpha 1.167854, combined = 8.053847e-12

commencing relation filtering
commencing duplicate removal, pass 1
error -11 reading relation 4747171
error -11 reading relation 36981095
error -11 reading relation 37269830
error -9 reading relation 37529624
error -15 reading relation 37808078
found 6615974 hash collisions in 41847181 relations
added 36 free relations
commencing duplicate removal, pass 2
found 5189566 duplicates and 36657651 unique relations
memory use: 165.2 MB
reading rational ideals above 27066368
reading algebraic ideals above 27066368
commencing singleton removal, pass 1
relations with 0 large ideals: 854492
relations with 1 large ideals: 4838519
relations with 2 large ideals: 11747822
relations with 3 large ideals: 12974157
relations with 4 large ideals: 5544950
relations with 5 large ideals: 51281
relations with 6 large ideals: 646430
relations with 7+ large ideals: 0
36657651 relations and about 31746105 large ideals
commencing singleton removal, pass 2
found 11657926 singletons
current dataset: 24999725 relations and about 18520428 large ideals
commencing singleton removal, pass 3
found 2458512 singletons
current dataset: 22541213 relations and about 15954383 large ideals
commencing singleton removal, pass 4
found 610781 singletons
current dataset: 21930432 relations and about 15335945 large ideals
commencing singleton removal, pass 5
found 151119 singletons
current dataset: 21779313 relations and about 15184347 large ideals
commencing singleton removal, final pass
memory use: 360.3 MB
commencing in-memory singleton removal
begin with 21779313 relations and 18395015 unique ideals
reduce to 15354339 relations and 11633580 ideals in 18 passes
max relations containing the same ideal: 46
reading rational ideals above 720000
reading algebraic ideals above 720000
commencing singleton removal, final pass
keeping 13441317 ideals with weight <= 20, new excess is 1564387
memory use: 489.2 MB
commencing in-memory singleton removal
begin with 15354376 relations and 13441317 unique ideals
reduce to 15313044 relations and 13399791 ideals in 13 passes
max relations containing the same ideal: 20
removing 728555 relations and 679273 ideals in 49282 cliques
commencing in-memory singleton removal
begin with 14584489 relations and 13399791 unique ideals
reduce to 14556496 relations and 12692371 ideals in 8 passes
max relations containing the same ideal: 20
removing 524992 relations and 475710 ideals in 49282 cliques
commencing in-memory singleton removal
begin with 14031504 relations and 12692371 unique ideals
reduce to 14016019 relations and 12201099 ideals in 8 passes
max relations containing the same ideal: 20
relations with 0 large ideals: 121410
relations with 1 large ideals: 784824
relations with 2 large ideals: 2483536
relations with 3 large ideals: 4142115
relations with 4 large ideals: 3815762
relations with 5 large ideals: 1924327
relations with 6 large ideals: 648133
relations with 7+ large ideals: 95912
commencing 2-way merge
reduce to 8245211 relation sets and 6430293 unique ideals
ignored 2 oversize relation sets
commencing full merge
memory use: 604.6 MB
found 4064935 cycles, need 3832493
weight of 3832493 cycles is about 268453437 (70.05/cycle)
distribution of cycle lengths:
1 relations: 555724
2 relations: 487158
3 relations: 462672
4 relations: 405356
5 relations: 357807
6 relations: 296266
7 relations: 254182
8 relations: 213886
9 relations: 178724
10+ relations: 620718
heaviest cycle: 20 relations
commencing cycle optimization
start with 20801266 relations
pruned 493110 relations
memory use: 717.1 MB
distribution of cycle lengths:
1 relations: 555724
2 relations: 498808
3 relations: 479788
4 relations: 414965
5 relations: 364985
6 relations: 299239
7 relations: 255275
8 relations: 212681
9 relations: 175573
10+ relations: 575455
heaviest cycle: 20 relations
RelProcTime: 1843

commencing linear algebra
read 3832493 cycles
cycles contain 12267129 unique relations
read 12267129 relations
using 20 quadratic characters above 536870840
building initial matrix
memory use: 1538.9 MB
read 3832493 cycles
matrix is 3830980 x 3832493 (1149.3 MB) with weight 338758144 (88.39/col)
sparse part has weight 259136904 (67.62/col)
filtering completed in 3 passes
matrix is 3777859 x 3778059 (1139.2 MB) with weight 335479132 (88.80/col)
sparse part has weight 257071186 (68.04/col)
read 3778059 cycles
matrix is 3777859 x 3778059 (1139.2 MB) with weight 335479132 (88.80/col)
sparse part has weight 257071186 (68.04/col)
saving the first 48 matrix rows for later
matrix is 3777811 x 3778059 (1080.2 MB) with weight 265630651 (70.31/col)
sparse part has weight 245398470 (64.95/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 1135.5 MB
linear algebra completed 3777680 of 3778059 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 59744 iterations (dim = 3777811)
recovered 37 nontrivial dependencies
BLanczosTime: 95960

commencing square root phase
reading relations for dependency 1
read 1889489 cycles
cycles contain 7358025 unique relations
read 7358025 relations
multiplying 6101724 relations
multiply complete, coefficients have about 175.74 million bits
initial square root is modulo 2028101
reading relations for dependency 2
read 1888830 cycles
cycles contain 7354128 unique relations
read 7354128 relations
multiplying 6099464 relations
multiply complete, coefficients have about 175.68 million bits
initial square root is modulo 2017991
reading relations for dependency 3
read 1888847 cycles
cycles contain 7355319 unique relations
read 7355319 relations
multiplying 6101654 relations
multiply complete, coefficients have about 175.74 million bits
initial square root is modulo 2027561
sqrtTime: 4290
prp52 factor: 3489796835931103361689260396347023065416395122343361
prp153 factor: 236517156786464756205308903707715975525031761922301258980101045633547768238421296759011363918993807438685658380715328301003618543542563650318286959170677
elapsed time 28:21:58
Sieving CPU time 551:45:01

lasieve/msieve

Q6700, Linux

15922493154042632537402203820924138559637887670861617534610978420365663536037745912885980806618751477104318853587178985617611646292070555223550038101855213734167406073<167>

13725137520615195507659201588200300742698226008398011465657006107<65>
1160097166977525917848104971945642021000911104757544820570287107129943493922523572269407618414977999739<103>

Number: n
N=15922493154042632537402203820924138559637887670861617534610978420365663536037745912885980806618751477104318853587178985617611646292070555223550038101855213734167406073  ( 167 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun Mar 31 18:03:47 2024  prp65 factor: 13725137520615195507659201588200300742698226008398011465657006107
Sun Mar 31 18:03:47 2024  prp103 factor: 1160097166977525917848104971945642021000911104757544820570287107129943493922523572269407618414977999739
Sun Mar 31 18:03:47 2024  elapsed time 02:41:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
#
# N = 52x10^205+11 = 57(204)9
#
n: 15922493154042632537402203820924138559637887670861617534610978420365663536037745912885980806618751477104318853587178985617611646292070555223550038101855213734167406073
m: 100000000000000000000000000000000000000000
deg: 5
c5: 52
c0: 11
skew: 0.73
# Murphy_E = 1.095e-11
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3211443 hash collisions in 19934586 relations (17240509 unique)
Msieve: matrix is 2270288 x 2270513 (640.5 MB)

Sieving start time: 2024/03/30 16:25:48
Sieving end time  : 2024/03/31 15:21:56

Total sieving time: 22hrs 56min 8secs.

Total relation processing time: 2hrs 33min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 26sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

655084073425505502119125648893001014871958726366867802006723781670248525285441434998030621348227733180743451765881695657448419451136809236625701649050623464873<159>

3793998755478371357587844227259592236384360591067962773<55>
172663228336485935186950512699521786049844353968742962028789259647537684220002626194864293482583129557701<105>

Number: n
N=655084073425505502119125648893001014871958726366867802006723781670248525285441434998030621348227733180743451765881695657448419451136809236625701649050623464873  ( 159 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sat Aug 10 16:52:48 2024  prp55 factor: 3793998755478371357587844227259592236384360591067962773
Sat Aug 10 16:52:48 2024  prp105 factor: 172663228336485935186950512699521786049844353968742962028789259647537684220002626194864293482583129557701
Sat Aug 10 16:52:48 2024  elapsed time 02:40:59 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.952).
Factorization parameters were as follows:
#
# N = 52x10^206+11 = 57(205)9
#
n: 655084073425505502119125648893001014871958726366867802006723781670248525285441434998030621348227733180743451765881695657448419451136809236625701649050623464873
m: 100000000000000000000000000000000000000000
deg: 5
c5: 520
c0: 11
skew: 0.46
# Murphy_E = 7.233e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
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 [50000, 41650000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7675724 hash collisions in 25965569 relations (16707919 unique)
Msieve: matrix is 2248016 x 2248242 (635.9 MB)

Sieving start time: 2024/08/09 15:20:04
Sieving end time  : 2024/08/10 14:06:03

Total sieving time: 22hrs 45min 59secs.

Total relation processing time: 2hrs 31min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 5sec.

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) ----------

7999379740146360026759982302035577133252724686728357641015819155419463316688838732941725039206177707843582180762303839531131345285900523489743073<145>

7773087579024436542867999209450836066988416516740118861587263039<64>
1029112261867802645126593152272112790664633618204386860814844529516960218213546207<82>

7999379740146360026759982302035577133252724686728357641015819155419463316688838732941725039206177707843582180762303839531131345285900523489743073=7773087579024436542867999209450836066988416516740118861587263039*1029112261867802645126593152272112790664633618204386860814844529516960218213546207

7999379740146360026759982302035577133252724686728357641015819155419463316688838732941725039206177707843582180762303839531131345285900523489743073
skew: 390904.024
c0: 108026197740493798727703584532480
c1: 69758479555483366566114619916
c2: 794976683244782905056
c3: -543985435519192433
c4: -35586470598
c5: 923400
Y0: -7637617911213900005645518959
Y1: 884585135418849163
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.736e-07
# f(x) = 923400*x^5-35586470598*x^4-543985435519192433*x^3+794976683244782905056*x^2+69758479555483366566114619916*x+108026197740493798727703584532480
# g(x) = 884585135418849163*x-7637617911213900005645518959

Info:Square Root: Factors: 7773087579024436542867999209450836066988416516740118861587263039 1029112261867802645126593152272112790664633618204386860814844529516960218213546207
Info:Square Root: Total cpu/real time for sqrt: 3212.54/991.501
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): 78069/44.310/52.218/58.110/0.905
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63784/42.500/46.796/52.950/1.190
Info:Polynomial Selection (size optimized): Total time: 41930.4
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5776.37
Info:Polynomial Selection (root optimized): Rootsieve time: 5771.99
Info:Generate Factor Base: Total cpu/real time for makefb: 18.94/5.06842
Info:Generate Free Relations: Total cpu/real time for freerel: 445.67/112.926
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49216113
Info:Lattice Sieving: Average J: 3828.03 for 1197941 special-q, max bucket fill -bkmult 1.0,1s:1.081120
Info:Lattice Sieving: Total time: 1.6819e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.52/238.304
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 237.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 962.79/881.178
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 771.3999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 820.14/838.826
Info:Filtering - Merging: Total cpu/real time for merge: 508.74/147.849
Info:Filtering - Merging: Total cpu/real time for replay: 150.01/129.783
Info:Linear Algebra: Total cpu/real time for bwc: 228766/58837.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 37599.08, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (110080 iterations)
Info:Linear Algebra: Lingen CPU time 787.14, WCT time 227.04
Info:Linear Algebra: Mksol: WCT time 20536.87, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 143.6/60.6991
Info:Square Root: Total cpu/real time for sqrt: 3212.54/991.501
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.10825e+06/500.043
7773087579024436542867999209450836066988416516740118861587263039 1029112261867802645126593152272112790664633618204386860814844529516960218213546207

cado-nfs-3.0.0

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

272525352504996381815275012852126358609852224165728521380201568045889259832715362613939139837529541667755678828967373725777456340482761089895696971707768773198414525130573489352582048701883<189>

24766623043789530822834272947020702071991441206093<50>
138932475057652077595598974644016414633761548948064059565319<60>
79202035530264676622134953666842894474084952172633421331642255972959775820071649<80>

Number: n
N=272525352504996381815275012852126358609852224165728521380201568045889259832715362613939139837529541667755678828967373725777456340482761089895696971707768773198414525130573489352582048701883
  ( 189 digits)
SNFS difficulty: 211 digits.
Divisors found:

Mon Aug  9 15:52:09 2021  found factor: 24766623043789530822834272947020702071991441206093
Mon Aug  9 15:55:47 2021  found factor: 24766623043789530822834272947020702071991441206093
Mon Aug  9 15:59:25 2021  p50 factor: 24766623043789530822834272947020702071991441206093
Mon Aug  9 15:59:25 2021  p60 factor: 138932475057652077595598974644016414633761548948064059565319
Mon Aug  9 15:59:25 2021  p80 factor: 79202035530264676622134953666842894474084952172633421331642255972959775820071649
Mon Aug  9 15:59:25 2021  elapsed time 03:50:31 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 52x10^209+11 = 57(208)9
#
n: 272525352504996381815275012852126358609852224165728521380201568045889259832715362613939139837529541667755678828967373725777456340482761089895696971707768773198414525130573489352582048701883
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 26
c0: 55
skew: 1.16
# Murphy_E = 4.379e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 53100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9438575 hash collisions in 60503147 relations (53108417 unique)
Msieve: matrix is 3037851 x 3038077 (1057.7 MB)

Sieving start time : 2021/08/08 14:31:02
Sieving end time  : 2021/08/09 12:07:38

Total sieving time: 21hrs 36min 36secs.

Total relation processing time: 3hrs 19min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 37sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

1012685065889668876724577144868672666640310061643657371901816167184005978875273148552723703000829782499059208226953091712030872748826081906022623297791297011700452204529345557812264885440764073854210727<202>

10363950691394446011382074183350053817<38>
97712262055678923983564000987620449611410556636732099398627575973506410026351593650460183689313553432270300787834745983265352779074979494296055217928102512984187231<164>

Run 76 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2256380329
Step 1 took 18921ms
Step 2 took 6149ms
********** Factor found in step 2: 10363950691394446011382074183350053817
Found probable prime factor of 38 digits: 10363950691394446011382074183350053817
Probable prime cofactor 97712262055678923983564000987620449611410556636732099398627575973506410026351593650460183689313553432270300787834745983265352779074979494296055217928102512984187231 has 164 digits

GMP-ECM 6.4.4

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

474422300237326265365064315444132870336814405997834008108158107419883125299858541882246881602815186495052688891152615918003627094011262484937653486942517987403178664550652163484621708821532981<192>

43327174529951004321476926212872739327052894791232581689870980482994850363170081654058853602644685639465428173711093621505409965831293348470656158190787100640110247190752764616975055714227<188>

4046696595908453708127707225219<31>

10706800844362380815513314913718071452563695083931213647369926418977054456190219352538132261301430300022806453067478140717413530269688593346798516683525878033<158>

Run 4 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1725128654
Step 1 took 16085ms
Step 2 took 5689ms
********** Factor found in step 2: 4046696595908453708127707225219
Found probable prime factor of 31 digits: 4046696595908453708127707225219
Composite cofactor 10706800844362380815513314913718071452563695083931213647369926418977054456190219352538132261301430300022806453067478140717413530269688593346798516683525878033 has 158 digits

GMP-ECM 6.4.4

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

278266042051273539007407019716375582873486687451128134286353086318394002050699026189728152736241665213776637471819476155394511051301256633529978783<147>

2755662492501008088169400267621695979560861<43>
56431996042739572846459663731814442897836384079<47>
1789405524821802869156116954836564677642946196068565592357<58>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3260358754
Step 1 took 36002ms
Step 2 took 16022ms
********** Factor found in step 2: 2755662492501008088169400267621695979560861
Found probable prime factor of 43 digits: 2755662492501008088169400267621695979560861
Composite cofactor 

prp47 factor: 56431996042739572846459663731814442897836384079
prp58 factor: 1789405524821802869156116954836564677642946196068565592357

234558120851868946541107964482358227769098451693318644992816519916015856537212967210470541634958523949991023206258400949055386212773574390370427788521207763378130232042356511179<177>

14179978216318124646694609361639131<35>

16541500788904081307006096149920760242435787339541971638855860118502133391509743792650124696056110827770462188515327863514942250720583926189009<143>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=368943102
Step 1 took 5255ms
Step 2 took 3674ms
********** Factor found in step 2: 14179978216318124646694609361639131
Found probable prime factor of 35 digits: 14179978216318124646694609361639131
Composite cofactor 

16541500788904081307006096149920760242435787339541971638855860118502133391509743792650124696056110827770462188515327863514942250720583926189009<143>

193478025261774680900225671056179519<36>

85495501447895820194972457372498634838841746492020489212926422881105253662616923213373334978921351343529711<107>

Run 40 out of 230:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2727379010
Step 1 took 32500ms
Step 2 took 18797ms
********** Factor found in step 2: 193478025261774680900225671056179519
Found probable prime factor of 36 digits: 193478025261774680900225671056179519

GMP-ECM 7.0

85495501447895820194972457372498634838841746492020489212926422881105253662616923213373334978921351343529711<107>

262779947603818128810730123096542871602073<42>
325350173129624261046051770508297274630399712308791401776715582407<66>

N=85495501447895820194972457372498634838841746492020489212926422881105253662616923213373334978921351343529711
  ( 107 digits)
Divisors found:
 r1=262779947603818128810730123096542871602073 (pp42)
 r2=325350173129624261046051770508297274630399712308791401776715582407 (pp66)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 14.14 hours.
Scaled time: 15.41 units (timescale=1.090).
Factorization parameters were as follows:
n: 85495501447895820194972457372498634838841746492020489212926422881105253662616923213373334978921351343529711
skew: 27778876.61
c0: 9382876788408115761384851542255
c1: 202894775075458465553278
c2: -125229449260466581
c3: 6116428604
c4: 72
Y0: -185631408079628349585471558
Y1: 24813812525749
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 240000
type: gnfs
Factor base limits: 2780000/2780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1390000, 2830001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 374135 x 374360
Total sieving time: 13.69 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.25 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,106,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2780000,2780000,26,26,52,52,2.5,2.5,150000
total time: 14.14 hours.
 --------- CPU info (if available) ----------

26493060085241514029908135532277947564986500307139079794673722047447132443475043352948667147218609602131518945946654156555533005976278096906849871515881560500155003125643037171<176>

593507349602424671959202295877<30>

44638133130092718232105378310586094786142236785527496050615962683122350214546210558427931905146751194834410745296255843242661435601504110490616023<146>

Run 101 out of 290:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=352281662
Step 1 took 16114ms
Step 2 took 5503ms
********** Factor found in step 2: 593507349602424671959202295877
Found probable prime factor of 30 digits: 593507349602424671959202295877
Composite cofactor 44638133130092718232105378310586094786142236785527496050615962683122350214546210558427931905146751194834410745296255843242661435601504110490616023 has 146 digits

GMP-ECM 6.4.4

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

44638133130092718232105378310586094786142236785527496050615962683122350214546210558427931905146751194834410745296255843242661435601504110490616023<146>

262082410596880253755888081251118725284253098179<48>
170320980444401011897363317099015811352025283422795361389942358632112929412669459394677851276844637<99>

Number: 57779_218
N = 44638133130092718232105378310586094786142236785527496050615962683122350214546210558427931905146751194834410745296255843242661435601504110490616023 (146 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=262082410596880253755888081251118725284253098179 (pp48)
r2=170320980444401011897363317099015811352025283422795361389942358632112929412669459394677851276844637 (pp99)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 64.03 hours.
Factorization parameters were as follows:
n: 44638133130092718232105378310586094786142236785527496050615962683122350214546210558427931905146751194834410745296255843242661435601504110490616023
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: 275
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369621
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: 536870912/22369621
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 7935438 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 38.47 hours.
Total relation processing time: 0.53 hours.
Pruned matrix : 6933100 x 6933347
Matrix solve time: 24.05 hours.
time per square root: 0.98 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,22369621,29,28,58,56,2.8,2.8,100000
total time: 64.03 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

194506496783527690372302654093922311569602217663922194594179399194297383383237676779455868240934008854496635600896090530259909162064487048957805912000399248551595181195860089453073362014404997<192>

269959274392531340443124132123847961718321<42>

720503110038396527898097318999446552837141234465134473580035091284177403914448438035244988449518241420294909298692867382930907691441850229515540516757<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=480098204
Step 1 took 25937ms
Step 2 took 9541ms
********** Factor found in step 2: 269959274392531340443124132123847961718321
Found probable prime factor of 42 digits: 269959274392531340443124132123847961718321

720503110038396527898097318999446552837141234465134473580035091284177403914448438035244988449518241420294909298692867382930907691441850229515540516757<150>

49477664210054745824728911541549814242741370323744687055501662219<65>
14562189253307099656990184526875956406656014801152681500650850652621176617461616007903<86>

Number: 57779_220
N = 720503110038396527898097318999446552837141234465134473580035091284177403914448438035244988449518241420294909298692867382930907691441850229515540516757 (150 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=49477664210054745824728911541549814242741370323744687055501662219 (pp65)
r2=14562189253307099656990184526875956406656014801152681500650850652621176617461616007903 (pp86)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.77 hours.
Factorization parameters were as follows:
n: 720503110038396527898097318999446552837141234465134473580035091284177403914448438035244988449518241420294909298692867382930907691441850229515540516757
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 52
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 25577080
Relations: 8543106 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 42.00 hours.
Total relation processing time: 0.23 hours.
Pruned matrix : 7237108 x 7237333
Matrix solve time: 32.04 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 74.77 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

554371327736876380423177982466372008188420600008609366655776020941792185674991930331163875560295833921802123794255428557900058517758111848020359599329443889609460251875023563244050199677323531225340764797684913<210>

2088846521446237902862088132395584640373784733501645860433185749246592172095499437720027644460692333<100>
265395912071630209155114167447211017902004279422864358457684690474918770979696342668026758438732066716563042261<111>

Number: n
N=554371327736876380423177982466372008188420600008609366655776020941792185674991930331163875560295833921802123794255428557900058517758111848020359599329443889609460251875023563244050199677323531225340764797684913
  ( 210 digits)
SNFS difficulty: 222 digits.
Divisors found:

Wed Apr  8 20:33:20 2020  p100 factor: 2088846521446237902862088132395584640373784733501645860433185749246592172095499437720027644460692333
Wed Apr  8 20:33:20 2020  p111 factor: 265395912071630209155114167447211017902004279422864358457684690474918770979696342668026758438732066716563042261
Wed Apr  8 20:33:20 2020  elapsed time 11:35:04 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.132).
Factorization parameters were as follows:
#
# N = 52x10^221+11 = 57(220)9
#
n: 554371327736876380423177982466372008188420600008609366655776020941792185674991930331163875560295833921802123794255428557900058517758111848020359599329443889609460251875023563244050199677323531225340764797684913
m: 100000000000000000000000000000000000000000000
deg: 5
c5: 520
c0: 11
skew: 0.46
# Murphy_E = 1.645e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 94000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10809674 hash collisions in 61943631 relations (52795620 unique)
Msieve: matrix is 4968154 x 4968379 (1742.9 MB)

Sieving start time: 2020/04/06 07:48:06
Sieving end time  : 2020/04/08 08:56:42

Total sieving time: 49hrs 8min 36secs.

Total relation processing time: 10hrs 58min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 29sec.

Prototype def-par.txt line would be:
snfs,222,5,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.142709] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283224K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2712K bss, 420236K reserved, 0K cma-reserved)
[    0.176573] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.53 BogoMIPS (lpj=11977076)
[    0.174219] smpboot: Total of 16 processors activated (95816.60 BogoMIPS)

26995574374736452568691991507768402650469708742882826557833617802182594406718351810354313990275475931879886965263361482588700790897045154299238145190499020181503536145313588399328708944063931434893720057504952433<212>

11050817451842037346507385888953760856562831057027313928856560094311007855822005057118866658574383412716145064872237922183108683004314861466295414987881026686602888569011090586320860298693129495726076525645949683<212>

1380922179843352780813158951918791954099274500998263633464582610721996459644154722031469691904905048094996885712683671182316317155600818809382073643200718700642699567467616978929993674442986484532429820656205769095301<217>

2946989760698490251891182596759985327794184821086094413901473624031840440418850062571830406252812942356749507180229534178847761726907839229384047616054110330462100508637249904022470850794729921535811127842001169<211>

170295328831217800606937648590500828359186720116027818987505147251773043617311374690623105752687980044950792699139434705113751292912557446448889032175309007730719640647735845105447376800081<189>

412846544648252826301322258154099744103<39>
412490624031527772110170918427319658162307247785001130570440059265593033073844726045615092819124040224558809013326864298086131008167825819587941333127<150>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2323850865
Step 1 took 5362ms
Step 2 took 3635ms
********** Factor found in step 2: 412846544648252826301322258154099744103
Found probable prime factor of 39 digits: 412846544648252826301322258154099744103
Probable prime cofactor 

5777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<232>

227007965952305354802506545939869269376255510001298673904782699640404188168225409791838284515309563198163902821651<114>
25451872376107258722225184610096505816264181200028282279809778905936404457135437096996821886304796018585553251650864929<119>

Mon Sep 17 17:14:48 2018  p114 factor: 227007965952305354802506545939869269376255510001298673904782699640404188168225409791838284515309563198163902821651
Mon Sep 17 17:14:48 2018  p119 factor: 25451872376107258722225184610096505816264181200028282279809778905936404457135437096996821886304796018585553251650864929

ggnfs-lasieve4I14e on the NFS@Home grid + msieve

57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<233>

125931928379174645070213425065084287155258117895143595135392299638827675480705463286836904579166802850467177242927<114>
458801659923858397677545338933630739922187797034500658702041751650680196908359394053459152301903866609092378431597281277<120>

N=57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
  ( 233 digits)
SNFS difficulty: 235 digits.
Divisors found:
 r1=125931928379174645070213425065084287155258117895143595135392299638827675480705463286836904579166802850467177242927 (pp114)
 r2=458801659923858397677545338933630739922187797034500658702041751650680196908359394053459152301903866609092378431597281277 (pp120)
Version: Msieve v. 1.52 (SVN Unversioned directory)
Total time:
Scaled time: 237.76 units (timescale=2.031).
Factorization parameters were as follows:
n: 57777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 1000000000000000000000000000000000000000
deg: 6
c6: 13
c0: 275
skew: 1.66
# Murphy_E = 7.924e-13
type: snfs
lss: 1
rlim: 58000000
alim: 58000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
#qintsize: 320000
Factor base limits: 58000000/58000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [29000000, 60300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7548869 x 7549095
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,235.000,6,0,0,0,0,0,0,0,0,58000000,58000000,30,30,60,60,2.7,2.7,100000
total time: