13961744518477230470350606331141294339438120672030969453053758445119353748825714158062698843568975300693893288090793249766381<125>

26409294675329952520047051769456344988144483<44>
528667830402888076655586260487501175538292363907075027865455219436299973499985007<81>

Number: trial
N=13961744518477230470350606331141294339438120672030969453053758445119353748825714158062698843568975300693893288090793249766381
  ( 125 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=26409294675329952520047051769456344988144483 (pp44)
 r2=528667830402888076655586260487501175538292363907075027865455219436299973499985007 (pp81)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 43.19 hours.
Scaled time: 22.16 units (timescale=0.513).
Factorization parameters were as follows:
n: 13961744518477230470350606331141294339438120672030969453053758445119353748825714158062698843568975300693893288090793249766381
m: 1000000000000000000000000000000
c5: 700
c0: -1
skew: 1
type: snfsFactor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2000001)
Primes: RFBsize:176302, AFBsize:176098, largePrimes:5270546 encountered
Relations: rels:5044165, finalFF:395396
Max relations in full relation-set: 0
Initial matrix: 352467 x 395396 with sparse part having weight 33232459.
Pruned matrix : 329623 x 331449 with weight 23770136.
Total sieving time: 33.68 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 8.80 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 43.19 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin

26597791215739308044490594222247537267372861584429149293061049124427324190079794935545891769979405882539329762729960567612604616679833336031019<143>

77461896204587304692802549568692094784149038435678059800315429975651<68>
343366126043325324679343651655973979954780461786276458351742207522660246169<75>

Number: n
N=26597791215739308044490594222247537267372861584429149293061049124427324190079794935545891769979405882539329762729960567612604616679833336031019
  ( 143 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=77461896204587304692802549568692094784149038435678059800315429975651 (pp68)
 r2=343366126043325324679343651655973979954780461786276458351742207522660246169 (pp75)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 28.30 hours.
Scaled time: 23.40 units (timescale=0.827).
Factorization parameters were as follows:
name: KA_2_3_155
n: 26597791215739308044490594222247537267372861584429149293061049124427324190079794935545891769979405882539329762729960567612604616679833336031019
skew: 1
deg: 5
c5: 7
c0: -1
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:216816, AFBsize:216696, largePrimes:6565054 encountered
Relations: rels:6066011, finalFF:508144
Max relations in full relation-set: 48
Initial matrix: 433579 x 508144 with sparse part having weight 30474705.
Pruned matrix : 365661 x 367892 with weight 17059396.
Total sieving time: 24.44 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 3.44 hours.
Total square root time: 0.10 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 28.30 hours.
 --------- CPU info (if available) ----------
CPU: AMD Athlon(tm) XP 2100+ stepping 02
Memory: 904260k/917504k available (1815k kernel code, 12496k reserved, 846k data, 272k init, 0k highmem)
Calibrating delay loop... 3440.64 BogoMIPS

1118663207636853450208438029505112974057478853596028008953425364816476665876217420288485812224890075180881980142653681688793<124>

111804472216234621446149216648206991096293<42>
10005531849149209867385888327748278326019822739848288047545094990750961458768022501<83>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 1118663207636853450208438029505112974057478853596028008953425364816476665876217420288485812224890075180881980142653681688793 (124 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2840896213
Step 1 took 6691ms
Step 2 took 3821ms
********** Factor found in step 2: 111804472216234621446149216648206991096293
Found probable prime factor of 42 digits: 111804472216234621446149216648206991096293
Probable prime cofactor 10005531849149209867385888327748278326019822739848288047545094990750961458768022501 has 83 digits

Core 2 Quad Q6600

2072012385944684412456973085456360507191494216348237131106297030543472067602918193405783034386889319372086037717578510715672320752004527<136>

35667897961095649947526145377069<32>

58091799752391019095159666661111369201684177850360308694417611514513839600421435152360645238364888526283<104>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 2072012385944684412456973085456360507191494216348237131106297030543472067602918193405783034386889319372086037717578510715672320752004527 (136 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=828893352
Step 1 took 7549ms
Step 2 took 4070ms
********** Factor found in step 2: 35667897961095649947526145377069
Found probable prime factor of 32 digits: 35667897961095649947526145377069
Composite cofactor 58091799752391019095159666661111369201684177850360308694417611514513839600421435152360645238364888526283 has 104 digits

Core 2 Quad Q6600

58091799752391019095159666661111369201684177850360308694417611514513839600421435152360645238364888526283<104>

62240253527047472580312971081891307447294255689341<50>
933347736560011308158563114276369605838717858921125863<54>

Number: 23333_160
N=58091799752391019095159666661111369201684177850360308694417611514513839600421435152360645238364888526283
  ( 104 digits)
Divisors found:
 r1=62240253527047472580312971081891307447294255689341 (pp50)
 r2=933347736560011308158563114276369605838717858921125863 (pp54)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.76 hours.
Scaled time: 14.49 units (timescale=2.143).
Factorization parameters were as follows:
name: 23333_160
n: 58091799752391019095159666661111369201684177850360308694417611514513839600421435152360645238364888526283
skew: 3825.25
# norm 1.63e+14
c5: 583440
c4: 2326542356
c3: -1039085397060
c2: -24696191837440549
c1: -63642552109250830002
c0: 197660511380706138491336
# alpha -5.58
Y1: 23540119783
Y0: -39776221118266163853
# Murphy_E 2.00e-09
# M 24646029232970984534273208895494097189591808184433543572167780495792969620406958018181523786806597925930
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1800001)
Primes: RFBsize:135072, AFBsize:135103, largePrimes:4502987 encountered
Relations: rels:4540682, finalFF:378476
Max relations in full relation-set: 28
Initial matrix: 270263 x 378476 with sparse part having weight 34673689.
Pruned matrix : 213384 x 214799 with weight 18092350.
Polynomial selection time: 0.39 hours.
Total sieving time: 6.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 6.76 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).

Core 2 Quad Q6600

1466506895981493687124535379820325804475916309373929762311497311107375702506795513963671876299233601761427778500890258144887<124>

18483157127083474363681317601965029524109620367701902163793<59>
79342878811142759961839897023661739977240662042432474165513682759<65>

Number: 23333_162
N=1466506895981493687124535379820325804475916309373929762311497311107375702506795513963671876299233601761427778500890258144887
  ( 124 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=18483157127083474363681317601965029524109620367701902163793 (pp59)
 r2=79342878811142759961839897023661739977240662042432474165513682759 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 85.52 hours.
Scaled time: 57.30 units (timescale=0.670).
Factorization parameters were as follows:
name: 23333_162
n: 1466506895981493687124535379820325804475916309373929762311497311107375702506795513963671876299233601761427778500890258144887
m: 100000000000000000000000000000000
c5: 700
c0: -1
skew: 0.27
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4250001)
Primes: RFBsize:315948, AFBsize:315791, largePrimes:5746913 encountered
Relations: rels:5875322, finalFF:758492
Max relations in full relation-set: 28
Initial matrix: 631806 x 758492 with sparse part having weight 45680761.
Pruned matrix : 528671 x 531894 with weight 30022387.
Total sieving time: 73.60 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 11.37 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 85.52 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

28423740498380012646351441222833046018885664846683919488791556370619977774011134692143246359762495624861587748954770936198932245142948442069275595738871<152>

6005499498342026296996247513568027884866123915015309416115316591128827611<73>
4732951939505968237884782724690167133167712747934122360855348805147547921808661<79>

Number: n
N=28423740498380012646351441222833046018885664846683919488791556370619977774011134692143246359762495624861587748954770936198932245142948442069275595738871
  ( 152 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=6005499498342026296996247513568027884866123915015309416115316591128827611 (pp73)
 r2=4732951939505968237884782724690167133167712747934122360855348805147547921808661 (pp79)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 62.00 hours.
Scaled time: 84.63 units (timescale=1.365).
Factorization parameters were as follows:
name: KA_2_3_163
n: 28423740498380012646351441222833046018885664846683919488791556370619977774011134692143246359762495624861587748954770936198932245142948442069275595738871
skew: 0.17
deg: 5
c5: 7000
c0: -1
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2600001)
Primes: RFBsize:250150, AFBsize:250186, largePrimes:7515166 encountered
Relations: rels:7038514, finalFF:567391
Max relations in full relation-set: 28
Initial matrix: 500403 x 567391 with sparse part having weight 42599784.
Pruned matrix : 449316 x 451882 with weight 30245743.
Total sieving time: 56.37 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 5.04 hours.
Total square root time: 0.30 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 62.00 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

17737678143737607815083631385228215771954008048223564306379712533051099851206148698069537262887626342386813186583817000321<122>

1475524985797736524823505686019457306026851<43>
12021265864330860490642857097445746591366152448633295697093349156568276428128971<80>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 17737678143737607815083631385228215771954008048223564306379712533051099851206148698069537262887626342386813186583817000321 (122 digits)
Using B1=9044000, B2=23421827530, polynomial Dickson(12), sigma=3507902698
Step 1 took 80487ms
********** Factor found in step 1: 1475524985797736524823505686019457306026851
Found probable prime factor of 43 digits: 1475524985797736524823505686019457306026851
Probable prime cofactor 12021265864330860490642857097445746591366152448633295697093349156568276428128971 has 80 digits

750267952840300107181136120042872454448017148981779206859592711682743837084673097534833869239013933547695605573419078242229367631296891747052518756698821007502679528403<168>

11932010618769729868493135550576478670582273449378145996805715014527203523<74>
62878585748162680828932573824793216019304952212408377491474470576966134103734657544119040624561<95>

Number: n
N=750267952840300107181136120042872454448017148981779206859592711682743837084673097534833869239013933547695605573419078242229367631296891747052518756698821007502679528403
  ( 168 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=11932010618769729868493135550576478670582273449378145996805715014527203523 (pp74)
 r2=62878585748162680828932573824793216019304952212408377491474470576966134103734657544119040624561 (pp95)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 89.70 hours.
Scaled time: 118.41 units (timescale=1.320).
Factorization parameters were as follows:
name: KA_2_3_170
n: 750267952840300107181136120042872454448017148981779206859592711682743837084673097534833869239013933547695605573419078242229367631296891747052518756698821007502679528403
skew: 0.68
deg: 5
c5: 7
c0: -1
m: 10000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3600001)
Primes: RFBsize:348513, AFBsize:348031, largePrimes:8026856 encountered
Relations: rels:7665683, finalFF:795791
Max relations in full relation-set: 48
Initial matrix: 696611 x 795791 with sparse part having weight 46042124.
Pruned matrix : 608294 x 611841 with weight 29860162.
Total sieving time: 80.68 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 8.40 hours.
Total square root time: 0.21 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000
total time: 89.70 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2048845051409912722127731439732198390251712322251715834557518251550756184804652868573321871508731445878733544481450488634910153754113422305893151559800372245876626161<166>

52466933536616764762455731674465527913345675902479976653<56>
39050215312850715281346300573082614025282121181643881618463088046577029592640409813713876589831290571574330037<110>

Number: 23333_171
N=2048845051409912722127731439732198390251712322251715834557518251550756184804652868573321871508731445878733544481450488634910153754113422305893151559800372245876626161
  ( 166 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=52466933536616764762455731674465527913345675902479976653
 r2=39050215312850715281346300573082614025282121181643881618463088046577029592640409813713876589831290571574330037
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.726).
Factorization parameters were as follows:
n: 2048845051409912722127731439732198390251712322251715834557518251550756184804652868573321871508731445878733544481450488634910153754113422305893151559800372245876626161
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 70
c0: -1
skew: 0.43
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 5700001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1012135 x 1012383
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 4.20 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.6,2.6,100000

total time: 44.50 hours.

Msieve-1.36

Opteron-2.6GHz; Linux x86_64

485221328148764943945941029041626177492581469613495865508160395638591357100485123046509680479943874602023484692869054974955150680889<132>

1307589882701951594458876131028810831185824064344398681<55>
371080668769112024094567568839236601999686535027101701545010769760593135839969<78>

GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 485221328148764943945941029041626177492581469613495865508160395638591357100485123046509680479943874602023484692869054974955150680889 (132 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=6839645954
Step 1 took 36806ms
Step 2 took 16607ms
********** Factor found in step 2: 1307589882701951594458876131028810831185824064344398681
Found probable prime factor of 55 digits: 1307589882701951594458876131028810831185824064344398681
Probable prime cofactor 371080668769112024094567568839236601999686535027101701545010769760593135839969 has 78 digits

Core 2 Quad Q6700

47883679140645797093100350971204673564972248914308861601933538965993787338998266124737546315333514655972041779220821912086100922791523133377168211949147268410529<161>

626212770198439916878884494387079314783305222977739<51>
76465510477328636319373980447055810294462397240123286146724808347669518353592686948203538809993595947478908611<110>

Number: 23333_175
N=47883679140645797093100350971204673564972248914308861601933538965993787338998266124737546315333514655972041779220821912086100922791523133377168211949147268410529
  ( 161 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=626212770198439916878884494387079314783305222977739
 r2=76465510477328636319373980447055810294462397240123286146724808347669518353592686948203538809993595947478908611
Version: 
Total time: 41.01 hours.
Scaled time: 97.81 units (timescale=2.385).
Factorization parameters were as follows:
n: 47883679140645797093100350971204673564972248914308861601933538965993787338998266124737546315333514655972041779220821912086100922791523133377168211949147268410529
m: 100000000000000000000000000000000000
deg: 5
c5: 7
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3400000, 6200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 15778894
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1111142 x 1111390
Total sieving time: 35.64 hours.
Total relation processing time: 2.17 hours.
Matrix solve time: 2.82 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,52,52,2.5,2.5,100000
total time: 41.01 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
fic routine.. 5344.68 BogoMIPS (lpj=2672343)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

6275739697976723819806501299282739999999585669035730393740043597615652824058877220711885165870344073033944621743703115150215001<127>

1157387409308582896280917524312096338281051129<46>
5422332788055658434650643160327066626640690171069022165934184483609688864253199969<82>

GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 6275739697976723819806501299282739999999585669035730393740043597615652824058877220711885165870344073033944621743703115150215001 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5936603222
Step 1 took 3295ms
Step 2 took 2076ms
********** Factor found in step 2: 1157387409308582896280917524312096338281051129
Found probable prime factor of 46 digits: 1157387409308582896280917524312096338281051129
Probable prime cofactor 5422332788055658434650643160327066626640690171069022165934184483609688864253199969 has 82 digits

Core 2 Quad Q6700

1998208240150312463216703721779456435054799313341077834382435912617684906237100497694972814875849623448710237040094142303389257430946681044440543505966623<154>

69879630446599378117892139495231939036515509<44>
28595002969818270640765917071875585095925170451848322045242452239871232160452793772041029064040673964203065347<110>

Number: 23333_179
N=1998208240150312463216703721779456435054799313341077834382435912617684906237100497694972814875849623448710237040094142303389257430946681044440543505966623
  ( 154 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=69879630446599378117892139495231939036515509
 r2=28595002969818270640765917071875585095925170451848322045242452239871232160452793772041029064040673964203065347
Version: 
Total time: 88.18 hours.
Scaled time: 210.39 units (timescale=2.386).
Factorization parameters were as follows:
n: 1998208240150312463216703721779456435054799313341077834382435912617684906237100497694972814875849623448710237040094142303389257430946681044440543505966623
m: 1000000000000000000000000000000000000
deg: 5
c5: 7
c0: -10
skew: 1.07
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18156181
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1286641 x 1286889
Total sieving time: 81.86 hours.
Total relation processing time: 2.32 hours.
Matrix solve time: 3.69 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 88.18 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core 2 Quad Q6700

23333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<182>

63260551995570788106768735871476130074461634746477<50>
25995503880899966863964451990659560723251183499345255736491<59>
14188796769082230791752762485216295330686733826011471336380633628674520219<74>

Number: 23333_181
N=23333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 182 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=63260551995570788106768735871476130074461634746477 (pp50)
 r2=25995503880899966863964451990659560723251183499345255736491 (pp59)
 r3=14188796769082230791752762485216295330686733826011471336380633628674520219 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 251.75 hours.
Scaled time: 538.99 units (timescale=2.141).
Factorization parameters were as follows:
n: 23333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 1000000000000000000000000000000000000
c5: 70
c0: -1
skew: 0.43
type: snfs
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [5000000, 9100001)
Primes: RFBsize:664579, AFBsize:665975, largePrimes:11133286 encountered
Relations: rels:11498215, finalFF:1574842
Max relations in full relation-set: 28
Initial matrix: 1330621 x 1574842 with sparse part having weight 97445326.
Pruned matrix : 1107698 x 1114415 with weight 66130008.
Total sieving time: 240.97 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 10.19 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,50,50,2.6,2.6,100000
total time: 251.75 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).

Core 2 Quad Q6600

2811735226630402462886615740715677066912110799243947709490235021387290782226193321814083991672027441970438551819940270755308541057745435233726559906849<151>

1136164271718423710413159468497972690611<40>

2474761173732134864912989200701551230666571156089420367488744037310009103982825967112282669291784196749487952859<112>

GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 2811735226630402462886615740715677066912110799243947709490235021387290782226193321814083991672027441970438551819940270755308541057745435233726559906849 (151 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1027165676
Step 1 took 4002ms
Step 2 took 2434ms
********** Factor found in step 2: 1136164271718423710413159468497972690611
Found probable prime factor of 40 digits: 1136164271718423710413159468497972690611
Composite cofactor 2474761173732134864912989200701551230666571156089420367488744037310009103982825967112282669291784196749487952859 has 112 digits

Core 2 Quad Q6700

2474761173732134864912989200701551230666571156089420367488744037310009103982825967112282669291784196749487952859<112>

3609790553064470517141431651395689502374723203<46>
685569186730578677124771696263241775143925983424281417239078327753<66>

Number: gn
N=2474761173732134864912989200701551230666571156089420367488744037310009103982825967112282669291784196749487952859
  ( 112 digits)
Divisors found:
 r1=3609790553064470517141431651395689502374723203 (pp46)
 r2=685569186730578677124771696263241775143925983424281417239078327753 (pp66)
Version: Msieve-1.40
Total time: 18.12 hours.
Scaled time: 32.94 units (timescale=1.818).
Factorization parameters were as follows:
name: gn
n: 2474761173732134864912989200701551230666571156089420367488744037310009103982825967112282669291784196749487952859
skew: 42519.29
# norm 2.92e+015
c5: 17640
c4: 2146680256
c3: -149860202202680
c2: -3485693350005399665
c1: 96300665592100158874440
c0: -133487144866560121719893991
# alpha -6.13
Y1: 1469294431
Y0: -2687861810504210614850
# Murphy_E 8.18e-010
# M 794708527182231891158967876588998305922489540468628142632142090575199959408992764347475269854214200131069213514
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 500822 x 501062
Polynomial selection time: 1.84 hours.
Total sieving time: 15.38 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 18.12 hours.
 --------- CPU info (if available) ----------

793319743090433962257252313405594857475654943829138074885666205226121445151807575258135545782537071915114063555599310376526208374399165492676914094844220271563043029<165>

2146774143946929892499079291213315804375304135511334845208968936320828956318675311<82>
369540384733665541204226252142529888872807519189077694791908156310596714482912466939<84>

Number: 23333_183
N=793319743090433962257252313405594857475654943829138074885666205226121445151807575258135545782537071915114063555599310376526208374399165492676914094844220271563043029
  ( 165 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=2146774143946929892499079291213315804375304135511334845208968936320828956318675311
 r2=369540384733665541204226252142529888872807519189077694791908156310596714482912466939
Version: 
Total time: 111.29 hours.
Scaled time: 265.64 units (timescale=2.387).
Factorization parameters were as follows:
n: 793319743090433962257252313405594857475654943829138074885666205226121445151807575258135545782537071915114063555599310376526208374399165492676914094844220271563043029
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: -100
skew: 1.70
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20181008
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1529239 x 1529487
Total sieving time: 101.90 hours.
Total relation processing time: 3.18 hours.
Matrix solve time: 5.37 hours.
Time per square root: 0.83 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 111.29 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core 2 Quad Q6700

77732558853419033756669683491705944274877497645738300215439493842462951217065302627328412281590190025743054634782921733997536426404145167353033<143>

626211841955711280857438240127569038468729342892487107356152709783<66>
124131409924561367377637015915840007558163041900703122620831757159786104782751<78>

Number: 23333_185
N=77732558853419033756669683491705944274877497645738300215439493842462951217065302627328412281590190025743054634782921733997536426404145167353033
  ( 143 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=626211841955711280857438240127569038468729342892487107356152709783
 r2=124131409924561367377637015915840007558163041900703122620831757159786104782751
Version: 
Total time: 93.36 hours.
Scaled time: 223.04 units (timescale=2.389).
Factorization parameters were as follows:
n: 77732558853419033756669683491705944274877497645738300215439493842462951217065302627328412281590190025743054634782921733997536426404145167353033
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3600000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19673170
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1515042 x 1515290
Total sieving time: 85.34 hours.
Total relation processing time: 2.57 hours.
Matrix solve time: 5.27 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,54,54,2.5,2.5,100000
total time: 93.36 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core 2 Quad Q6700

169602493290214574870875029464621273292722990046439485058661176055358330897183959950384800110212284781218261656858420826248081757459348920058582274952663373512204128487923<171>

6695092362310618174328898403602002539<37>
25332360498112853861404236655243814952988068906718897086604678524643254421729648514144042645239233214422740405438324301956555928008857<134>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 169602493290214574870875029464621273292722990046439485058661176055358330897183959950384800110212284781218261656858420826248081757459348920058582274952663373512204128487923 (171 digits)
Using B1=50000, B2=12746592, polynomial x^2, sigma=6682635082
Step 1 took 265ms
Step 2 took 312ms
********** Factor found in step 2: 6695092362310618174328898403602002539
Found probable prime factor of 37 digits: 6695092362310618174328898403602002539
Probable prime cofactor 25332360498112853861404236655243814952988068906718897086604678524643254421729648514144042645239233214422740405438324301956555928008857 has 134 digits

Core 2 Quad Q6600

385518221246601484030976460164780106346625353302761690655267687963057699239125328627355159429214466131506783367595422436633294890652400375575424349579156832203654053637<168>

522463396938414507730233459920336033295104100543172819<54>
737885607883157664404261894836446358626391578334884005391830134744434193226206890090405755486568578920267345185223<114>

Number: 23333_187
N=385518221246601484030976460164780106346625353302761690655267687963057699239125328627355159429214466131506783367595422436633294890652400375575424349579156832203654053637
  ( 168 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=522463396938414507730233459920336033295104100543172819
 r2=737885607883157664404261894836446358626391578334884005391830134744434193226206890090405755486568578920267345185223
Version: 
Total time: 120.78 hours.
Scaled time: 288.55 units (timescale=2.389).
Factorization parameters were as follows:
n: 385518221246601484030976460164780106346625353302761690655267687963057699239125328627355159429214466131506783367595422436633294890652400375575424349579156832203654053637
m: 10000000000000000000000000000000000000
deg: 5
c5: 700
c0: -1
skew: 0.27
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20372263
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1645174 x 1645422
Total sieving time: 109.95 hours.
Total relation processing time: 3.41 hours.
Matrix solve time: 6.35 hours.
Time per square root: 1.08 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 120.78 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core 2 Quad Q6700

3417967849890570434850794979451142471243259460170419129740197498288147757723762205791626277284625116185533541258902023742524313394405183159507433031596894655426373<163>

192280798108829424790397166955150926371597034643778823028366049125590191<72>
17775918778722914490096722487937690261494075876939049262119082389925643906681050922012233803<92>

Number: 23333_189
N=3417967849890570434850794979451142471243259460170419129740197498288147757723762205791626277284625116185533541258902023742524313394405183159507433031596894655426373
  ( 163 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=192280798108829424790397166955150926371597034643778823028366049125590191
 r2=17775918778722914490096722487937690261494075876939049262119082389925643906681050922012233803
Version: 
Total time: 191.18 hours.
Scaled time: 448.31 units (timescale=2.345).
Factorization parameters were as follows:
n: 3417967849890570434850794979451142471243259460170419129740197498288147757723762205791626277284625116185533541258902023742524313394405183159507433031596894655426373
m: 100000000000000000000000000000000000000
deg: 5
c5: 7
c0: -10
skew: 1.07
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 10000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 21455006
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1922456 x 1922704
Total sieving time: 176.45 hours.
Total relation processing time: 5.64 hours.
Matrix solve time: 8.85 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 191.18 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core 2 Quad Q6700

621910599237725589540625043979743467052163930474983202197890775306504891978430299317851468044682850777205870609955342048183026867362408146221425970857280800189840802540693359047533<180>

1500376550151264863297931703979847906087454981409<49>
1371498134475670731685670753363326190630031522400618526824043<61>
302226449766451914656944434640659063292292768708405974308047126253134759<72>

Number: 11
N=621910599237725589540625043979743467052163930474983202197890775306504891978430299317851468044682850777205870609955342048183026867362408146221425970857280800189840802540693359047533
  ( 180 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=1500376550151264863297931703979847906087454981409 (pp49)
 r2=1371498134475670731685670753363326190630031522400618526824043 (pp61)
 r3=302226449766451914656944434640659063292292768708405974308047126253134759 (pp72)
Version: Msieve-1.40
Total time: 324.51 hours.
Scaled time: 564.33 units (timescale=1.739).
Factorization parameters were as follows:
n: 621910599237725589540625043979743467052163930474983202197890775306504891978430299317851468044682850777205870609955342048183026867362408146221425970857280800189840802540693359047533
m: 100000000000000000000000000000000000000
deg: 5
c5: 70
c0: -1
skew: 0.43
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 10700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1710104 x 1710329
Total sieving time: 319.04 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.28 hours.
Time per square root: 0.93 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 324.51 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

268211738396452419466808926107643636625241985220911566148927493395871256409646497864395037810386573278760059958142991159308474983805787762022428357<147>

4937131318073193172135043793317217939252625546955795325077941<61>
54325421204540091506084640274120884455278789337378102522759825619531302511051946080977<86>

Number: 23333_193
N=268211738396452419466808926107643636625241985220911566148927493395871256409646497864395037810386573278760059958142991159308474983805787762022428357
  ( 147 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=4937131318073193172135043793317217939252625546955795325077941
 r2=54325421204540091506084640274120884455278789337378102522759825619531302511051946080977
Version: 
Total time: 245.83 hours.
Scaled time: 588.02 units (timescale=2.392).
Factorization parameters were as follows:
n: 268211738396452419466808926107643636625241985220911566148927493395871256409646497864395037810386573278760059958142991159308474983805787762022428357
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -100
skew: 1.70
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 12500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22903522
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2340644 x 2340891
Total sieving time: 224.29 hours.
Total relation processing time: 7.43 hours.
Matrix solve time: 13.78 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 245.83 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core 2 Quad Q6700

22813441161353113676132113682124443284834105089128533164313478793293419415798298118386350542664973525815958889434285150253931001556833730346704665775029237864221686756089247<173>

147003448556591891720923188322512299<36>
155189836601490523856607348367764009304381020936581690620980457710600163102832779066298026952652336067827591049617589382278175363661042653<138>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 22813441161353113676132113682124443284834105089128533164313478793293419415798298118386350542664973525815958889434285150253931001556833730346704665775029237864221686756089247 (173 digits)
Using B1=50000, B2=12746592, polynomial x^2, sigma=6675601438
Step 1 took 327ms
Step 2 took 312ms
********** Factor found in step 2: 147003448556591891720923188322512299
Found probable prime factor of 36 digits: 147003448556591891720923188322512299
Probable prime cofactor 155189836601490523856607348367764009304381020936581690620980457710600163102832779066298026952652336067827591049617589382278175363661042653 has 138 digits

Core 2 Quad Q6600

526824748328436889966446679041531147942674524918447292696673513712407364488979952423237386536766880485460140358415351166417478789123474757256246108646546846696500760096981544005073428167<186>

327089244498103985515681454308236365208067535780672761<54>
6889256203790541578524590329374747047122930179947841851253861<61>
233790881628275341548612552380308164945266153111807794032455399387558227<72>

Number: 23333_197
N=526824748328436889966446679041531147942674524918447292696673513712407364488979952423237386536766880485460140358415351166417478789123474757256246108646546846696500760096981544005073428167
  ( 186 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=327089244498103985515681454308236365208067535780672761
 r2=6889256203790541578524590329374747047122930179947841851253861
 r3=233790881628275341548612552380308164945266153111807794032455399387558227
Version: 
Total time: 253.59 hours.
Scaled time: 603.80 units (timescale=2.381).
Factorization parameters were as follows:
n: 526824748328436889966446679041531147942674524918447292696673513712407364488979952423237386536766880485460140358415351166417478789123474757256246108646546846696500760096981544005073428167
m: 1000000000000000000000000000000000000000
deg: 5
c5: 700
c0: -1
skew: 0.27
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 13700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 33606477
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2732804 x 2733052
Total sieving time: 222.99 hours.
Total relation processing time: 9.93 hours.
Matrix solve time: 19.81 hours.
Time per square root: 0.85 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 253.59 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core 2 Quad Q6700

714222109599803960826135414841374334946621817500120722393256018752176155097945568428045852197263742241788139223335851855778832017401375894431662240015229375538216574313399<171>

8192334989036008821241193427397498790589898211392740413024867<61>
87181751058234790249345016421063974956682529709605245794017790101935641538019513714254649067309874663445763997<110>

Number: 23333_199
N=714222109599803960826135414841374334946621817500120722393256018752176155097945568428045852197263742241788139223335851855778832017401375894431662240015229375538216574313399
  ( 171 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=8192334989036008821241193427397498790589898211392740413024867
 r2=87181751058234790249345016421063974956682529709605245794017790101935641538019513714254649067309874663445763997
Version: 
Total time: 387.56 hours.
Scaled time: 926.27 units (timescale=2.390).
Factorization parameters were as follows:
n: 714222109599803960826135414841374334946621817500120722393256018752176155097945568428045852197263742241788139223335851855778832017401375894431662240015229375538216574313399
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -10
skew: 1.07
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8500000, 17200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38687681
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3222977 x 3223225
Total sieving time: 341.60 hours.
Total relation processing time: 17.44 hours.
Matrix solve time: 28.10 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,17000000,17000000,29,29,56,56,2.5,2.5,100000
total time: 387.56 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: 8046580k/8912896k available (2573k kernel code, 339584k reserved, 1305k data, 212k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.64 BogoMIPS (lpj=2672823)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

348734163788049841671992277273999673677303843965461801722756329150486374794271338964430846939291366760090111820701872201361646019393397982787401037748312074763819437834128402381<177>

1320772449459674991354332277167542105223<40>

264038036173995146439109425490583359073875493939225489480370730539847032663775382553692109225164532166560369840502334328150162602564430347<138>

GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 348734163788049841671992277273999673677303843965461801722756329150486374794271338964430846939291366760090111820701872201361646019393397982787401037748312074763819437834128402381 (177 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2381253461
Step 1 took 5701ms
Step 2 took 2953ms
********** Factor found in step 2: 1320772449459674991354332277167542105223
Found probable prime factor of 40 digits: 1320772449459674991354332277167542105223
Composite cofactor 264038036173995146439109425490583359073875493939225489480370730539847032663775382553692109225164532166560369840502334328150162602564430347 has 138 digits

Core 2 Quad Q6700

264038036173995146439109425490583359073875493939225489480370730539847032663775382553692109225164532166560369840502334328150162602564430347<138>

1794731949304779285115230730646650543051220372018611901<55>
147118368442861277262399168983171949903548379549364889539426805719430335731314771047<84>

Number: 23333_200
N=264038036173995146439109425490583359073875493939225489480370730539847032663775382553692109225164532166560369840502334328150162602564430347
  ( 138 digits)
Divisors found:
 r1=1794731949304779285115230730646650543051220372018611901
 r2=147118368442861277262399168983171949903548379549364889539426805719430335731314771047
Version: 
Total time: 300.62 hours.
Scaled time: 717.87 units (timescale=2.388).
Factorization parameters were as follows:
name: 23333_200
n: 264038036173995146439109425490583359073875493939225489480370730539847032663775382553692109225164532166560369840502334328150162602564430347
skew: 162524.70
# norm 4.54e+19
c5: 1326780
c4: -419579716176
c3: 805397763760141755
c2: 8565348407124879192425
c1: -5314657130646603297688933935
c0: -121953967090689019319770771330529
# alpha -7.06
Y1: 3340505903326217
Y0: -181875424517224649444101380
# Murphy_E 2.58e-11
# M 83102146465073335099769531359796789040778237823226091399536974820397083685050801000817962874713779528863021443201002773588330038447549431
type: gnfs
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [6500000, 12600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22554862
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2006521 x 2006769
Polynomial selection time: 37.74 hours.
Total sieving time: 244.79 hours.
Total relation processing time: 7.67 hours.
Matrix solve time: 9.81 hours.
Time per square root: 0.61 hours.
Prototype def-par.txt line would be:
gnfs,137,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,13000000,13000000,28,28,56,56,2.6,2.6,100000
total time: 300.62 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core 2 Quad Q6700

17885471693777257982520348976378516414557414742126776745229586415035634290519687131992511047087981972579207805245964883326324127477202011270845206818943508218517627643604945575320187821327<188>

54886256497667018141866507886377941633546395179297<50>
325864302560650925220372259202836301391471280390929464755252732112877286834924677164663835423025235881680806721109247749297184286502354991<138>

GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Running on mvx6
Input number is 17885471693777257982520348976378516414557414742126776745229586415035634290519687131992511047087981972579207805245964883326324127477202011270845206818943508218517627643604945575320187821327 (188 digits)
[Sat Jan 22 10:07:34 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1769223658
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20    25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 665100ms
********** Factor found in step 1: 54886256497667018141866507886377941633546395179297
Found probable prime factor of 50 digits: 54886256497667018141866507886377941633546395179297
Probable prime cofactor 325864302560650925220372259202836301391471280390929464755252732112877286834924677164663835423025235881680806721109247749297184286502354991 has 138 digits

GMP-ECM

12408514801558402998520679422858228526909147809616548884745937254832909807174658779483014470443122331007666705662572532730746908989880162229383825679566689946473152590954293826310363<182>

341814137379262820703619531241772438672418960504220543<54>
36301935597796613387875174789602896631621794317547997731884133406295200433460476448871588607865425544775288572131035081371416741<128>

Number: 23333_202
SNFS difficulty: 202 digits.
Version: Msieve-1.51 + GGNFS-0.77.1
Total time: 253.24 hours.
Scaled time: 920.26 units (timescale=3.634).

factMsieve.pl is a bit broken on a modern system, and doesn't output
time for individual step correctly. Let me summary about the it...

factMsieve.pl greatly underestimates the required relations.
Estimated relations was 10683323, but actual number needed was 37489290.

253.24 hours with 4 worker, on a 4-core Core i7-2600K overclocked to 4.5 GHz,
corresponds to roughly 63.31 hours of wall clock time.

The initial sieving took nearly 85-90% of the time, or 55+ hours,
Total relation processing time: 06 minutes, 10 seconds.
Matrix solve time: 07 hours, 04 minutes, 01 seconds.
Square root time: 06 minutes, 25 seconds.

Total yield: 113859
0/0 mpqs failures, 25659/28909 vain mpqs
milliseconds total: Sieve 618648 Sched 0 medsched 0
TD 0 (Init 0, MPQS 0) Sieve-Change 854374
TD side 0: init/small/medium/large/search: 0 0 0 0 0
sieve: init/small/medium/large/search: 0 0 0 309332 0
TD side 1: init/small/medium/large/search: 0 0 0 0 0
sieve: init/small/medium/large/search: 0 0 0 309316 0
=>"cat" spairs.out.T1 >> spairs.out
=>"cat" spairs.out.T2 >> spairs.out
=>"cat" spairs.out.T3 >> spairs.out
=>"cat" spairs.out.T4 >> spairs.out
=>"cat" spairs.out >> 23333_202.dat
Found 37489290 relations, need at least 10683323 to proceed.
=> "/home/gaizi/factors/ggnfs-master/bin/msieve" -s 23333_202.dat -l ggnfs.log -i 23333_202.ini -v -nf 23333_202.fb -t 4 -nc1


Msieve v. 1.51
Tue Sep 25 10:39:04 2018
random seeds: 0d565e77 b88c2600
MPI process 0 of 1
factoring 12408514801558402998520679422858228526909147809616548884745937254832909807174658779483014470443122331007666705662572532730746908989880162229383825679566689946473152590954293826310363 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -10000000000000000000000000000000000000000
R1: 1
A0: -1
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 0.27, size 5.650e-14, alpha -0.153, combined = 1.358e-11 rroots = 1

commencing relation filtering
estimated available RAM is 16006.7 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
skipped 3 relations with b > 2^32
found 3692908 hash collisions in 37489286 relations
added 69 free relations
commencing duplicate removal, pass 2
found 2871019 duplicates and 34618336 unique relations
memory use: 138.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1177.7 MB
keeping 38059887 ideals with weight <= 200, target excess is 182488
commencing in-memory singleton removal
begin with 34618336 relations and 38059887 unique ideals
reduce to 12584593 relations and 12359242 ideals in 23 passes
max relations containing the same ideal: 105
relations with 0 large ideals: 3746
relations with 1 large ideals: 1385
relations with 2 large ideals: 23507
relations with 3 large ideals: 193960
relations with 4 large ideals: 872700
relations with 5 large ideals: 2274032
relations with 6 large ideals: 3667391
relations with 7+ large ideals: 5547872
commencing 2-way merge
reduce to 6966529 relation sets and 6743514 unique ideals
ignored 2336 oversize relation sets
commencing full merge
memory use: 729.8 MB
found 3477099 cycles, need 3475714
weight of 3475714 cycles is about 243593221 (70.08/cycle)
distribution of cycle lengths:
1 relations: 519928
2 relations: 492393
3 relations: 454507
4 relations: 382133
5 relations: 323029
6 relations: 260554
7 relations: 207889
8 relations: 163620
9 relations: 130309
10+ relations: 541352
heaviest cycle: 28 relations
commencing cycle optimization
start with 19241032 relations
pruned 310241 relations
memory use: 682.6 MB
distribution of cycle lengths:
1 relations: 519928
2 relations: 501053
3 relations: 466870
4 relations: 386803
5 relations: 325989
6 relations: 259648
7 relations: 205980
8 relations: 161485
9 relations: 127337
10+ relations: 520621
heaviest cycle: 28 relations
RelProcTime: 369
elapsed time 00:06:10
-> Doing matrix solving step...
=> "/home/gaizi/factors/ggnfs-master/bin/msieve" -s 23333_202.dat -l ggnfs.log -i 23333_202.ini -v -nf 23333_202.fb -t 4 -nc2


Msieve v. 1.51
Tue Sep 25 10:45:15 2018
random seeds: 2e2e379a baf82601
MPI process 0 of 1
factoring 12408514801558402998520679422858228526909147809616548884745937254832909807174658779483014470443122331007666705662572532730746908989880162229383825679566689946473152590954293826310363 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -10000000000000000000000000000000000000000
R1: 1
A0: -1
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 0.27, size 5.650e-14, alpha -0.153, combined = 1.358e-11 rroots = 1

commencing linear algebra
initialized process (0,0) of 1 x 1 grid
read 3475714 cycles
cycles contain 11852747 unique relations
read 11852747 relations
using 20 quadratic characters above 536870240
building initial matrix
memory use: 1467.5 MB
read 3475714 cycles
matrix is 3475510 x 3475714 (1050.2 MB) with weight 308949086 (88.89/col)
sparse part has weight 237071132 (68.21/col)
filtering completed in 3 passes
matrix is 3467802 x 3468002 (1049.5 MB) with weight 308671990 (89.01/col)
sparse part has weight 236982433 (68.33/col)
matrix starts at (0, 0)
matrix is 3467802 x 3468002 (1049.5 MB) with weight 308671990 (89.01/col)
sparse part has weight 236982433 (68.33/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 3467754 x 3468002 (1002.9 MB) with weight 248968755 (71.79/col)
sparse part has weight 228231177 (65.81/col)
using block size 65536 for processor cache size 8192 kB
commencing Lanczos iteration (4 threads)
memory use: 884.0 MB
linear algebra at 0.0%, ETA 6h58m3468002 dimensions (0.0%, ETA 6h58m)    
checkpointing every 530000 dimensions002 dimensions (0.1%, ETA 6h39m)    
linear algebra completed 3467753 of 3468002 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 54837 iterations (dim = 3467753)
recovered 40 nontrivial dependencies
BLanczosTime: 25441
elapsed time 07:04:01
=> "/home/gaizi/factors/ggnfs-master/bin/msieve" -s 23333_202.dat -l ggnfs.log -i 23333_202.ini -v -nf 23333_202.fb -t 4 -nc3


Msieve v. 1.51
Tue Sep 25 17:49:16 2018
random seeds: 7661fa1e e5e8da69
MPI process 0 of 1
factoring 12408514801558402998520679422858228526909147809616548884745937254832909807174658779483014470443122331007666705662572532730746908989880162229383825679566689946473152590954293826310363 (182 digits)
searching for 15-digit factors
commencing number field sieve (182-digit input)
R0: -10000000000000000000000000000000000000000
R1: 1
A0: -1
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 0.27, size 5.650e-14, alpha -0.153, combined = 1.358e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1735125 cycles
cycles contain 5932226 unique relations
read 5932226 relations
multiplying 5932226 relations
multiply complete, coefficients have about 191.41 million bits
initial square root is modulo 7397981
sqrtTime: 384
prp54 factor: 341814137379262820703619531241772438672418960504220543
prp128 factor: 36301935597796613387875174789602896631621794317547997731884133406295200433460476448871588607865425544775288572131035081371416741
elapsed time 00:06:25

Msieve 1.51
GGNFS 0.77.1

4 threads.
Core i7-2600K, overclocked to 4.5 GHz.
Fedora Linux 27

6230163662787516964527764149749327735071888545130642038135119427605737757341979638342594368384668610620432984196557569488634834731688075576455774375977035075524181<163>

5307719147203070052990369389597853046622171380009<49>
1173793015418032018695110303616346758684624958390707203522292100969156416807167951453891157453206855761862952344909<115>

8 workers, on a 4-core, 4-thread Core i7-2600K overclocked to 4.5 GHz.

Total time:  ~74.5 hours.
Total raw relations: 39055235
Total sieving time: 65.86 hours
Matrix solve time: ~8.5 hours.
Square root time: 7 minutes 32 seconds

Found 39055235 relations, 119.5% of the estimated minimum (32680275).
-> ./msieve -s 23333_203/23333_203.dat -l 23333_203/23333_203.log -i 23333_203/23333_203.ini -nf 23333_203/23333_203.fb -t 8 -nc1
read 10M relations
read 20M relations
read 30M relations
-> Running matrix solving step ...
-> ./msieve -s 23333_203/23333_203.dat -l 23333_203/23333_203.log -i 23333_203/23333_203.ini -nf 23333_203/23333_203.fb -t 8 -nc2
linear algebra completed 3653391 of 3653791 dimensions (100.0%, ETA 0h 0m)    
-> Running square root step ...
-> ./msieve -s 23333_203/23333_203.dat -l 23333_203/23333_203.log -i 23333_203/23333_203.ini -nf 23333_203/23333_203.fb -t 8 -nc3
commencing square root phase
reading relations for dependency 1
read 1826455 cycles
cycles contain 6153082 unique relations
read 6153082 relations
multiplying 6153082 relations
multiply complete, coefficients have about 217.48 million bits
initial square root is modulo 63808471
sqrtTime: 451
prp49 factor: 5307719147203070052990369389597853046622171380009
prp115 factor: 1173793015418032018695110303616346758684624958390707203522292100969156416807167951453891157453206855761862952344909
elapsed time 00:07:32

Factorization parameters were as follows:
n: 6230163662787516964527764149749327735071888545130642038135119427605737757341979638342594368384668610620432984196557569488634834731688075576455774375977035075524181
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7000
c0: -1
skew: 0.17
# Murphy_E = 1.1e-11
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Prototype def-par.txt line would be: snfs,204,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000
x86_64
processors: 8, speed: 4.45GHz
Linux-4.18.9-200.fc28.x86_64-x86_64-with-fedora-28-Twenty_Eight
Running Python 2.7

Msieve 1.51
GGNFS 0.77.1
factmsieve.py 0.86

8 threads
Fedora Linux 28
Core i7-2600K, overclocked to 4.5 GHz.

73912321751169978958816534414956028677223156031615437328034106898770683406114795152299145987887197152892516724085472204049605486065240752411656916584592527748012176478836888139<176>

197096876686173937512741009580178787148551499<45>
592183479603327372784653411713735059795634987<45>
633258189424000318140650003703129944686920995267263320572063306394764332144767240323203<87>

8 workers, on a 4-core, 4-thread Core i7-2600K overclocked to 4.5 GHz.
After switched to experimental/lasieve4_64, the factorization became much
faster than 23333_202 and 23333_203. Msieve has also been updated to
v1.53, which also fixed the timing report issue. - Tom Li

Number: 23333_204
N = 73912321751169978958816534414956028677223156031615437328034106898770683406114795152299145987887197152892516724085472204049605486065240752411656916584592527748012176478836888139 (176 digits)
SNFS difficulty: 206 digits.
Divisors found:
r1=197096876686173937512741009580178787148551499 (pp45)
r2=592183479603327372784653411713735059795634987 (pp45)
r3=633258189424000318140650003703129944686920995267263320572063306394764332144767240323203 (pp87)
Version: Msieve v. 1.53 (SVN Unversioned directory)
Total time: 59.22 hours.
Factorization parameters were as follows:
n: 73912321751169978958816534414956028677223156031615437328034106898770683406114795152299145987887197152892516724085472204049605486065240752411656916584592527748012176478836888139
m: 50000000000000000000000000000000000000000
deg: 5
c5: 112
c0: -5
skew: 0.54
# Murphy_E = 9.621e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 39738844
Relations: 6580198 relations
Pruned matrix : 3923165 x 3923392
Total sieving time: 52.92 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 5.54 hours.
time per square root: 0.59 hours.
Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,18700000,18700000,29,29,56,56,2.6,2.6,100000
total time: 59.22 hours.
x86_64
processors: 8, speed: 4.50GHz
Linux-4.18.9-200.fc28.x86_64-x86_64-with-fedora-28-Twenty_Eight
Running Python 2.7

Sun Oct 07 07:38:26 2018 Found 39738844 relations, 113.9% of the estimated minimum (34902548).
Sun Oct 07 07:38:26 2018 -> ./msieve -s 23333_204/23333_204.dat -l 23333_204/23333_204.log -i 23333_204/23333_204.ini -nf 23333_204/23333_204.fb -t 8 -nc1
Sun Oct  7 07:38:26 2018  
Sun Oct  7 07:38:26 2018  
Sun Oct  7 07:38:26 2018  Msieve v. 1.53 (SVN Unversioned directory)
Sun Oct  7 07:38:26 2018  random seeds: 2c08bbd0 518657f9
Sun Oct  7 07:38:26 2018  factoring 73912321751169978958816534414956028677223156031615437328034106898770683406114795152299145987887197152892516724085472204049605486065240752411656916584592527748012176478836888139 (176 digits)
Sun Oct  7 07:38:27 2018  no P-1/P+1/ECM available, skipping
Sun Oct  7 07:38:27 2018  commencing number field sieve (176-digit input)
Sun Oct  7 07:38:27 2018  R0: -50000000000000000000000000000000000000000
Sun Oct  7 07:38:27 2018  R1: 1
Sun Oct  7 07:38:27 2018  A0: -5
Sun Oct  7 07:38:27 2018  A1: 0
Sun Oct  7 07:38:27 2018  A2: 0
Sun Oct  7 07:38:27 2018  A3: 0
Sun Oct  7 07:38:27 2018  A4: 0
Sun Oct  7 07:38:27 2018  A5: 112
Sun Oct  7 07:38:27 2018  skew 0.54, size 2.591e-14, alpha 1.031, combined = 8.530e-12 rroots = 1
Sun Oct  7 07:38:27 2018  
Sun Oct  7 07:38:27 2018  commencing relation filtering
Sun Oct  7 07:38:27 2018  estimated available RAM is 16006.3 MB
Sun Oct  7 07:38:27 2018  commencing duplicate removal, pass 1
Sun Oct  7 07:42:25 2018  skipped 2 relations with b > 2^32
Sun Oct  7 07:42:25 2018  found 4710540 hash collisions in 39738841 relations
Sun Oct  7 07:42:45 2018  added 38 free relations
Sun Oct  7 07:42:45 2018  commencing duplicate removal, pass 2
Sun Oct  7 07:42:53 2018  found 3949696 duplicates and 35789183 unique relations
Sun Oct  7 07:42:53 2018  memory use: 197.2 MB
Sun Oct  7 07:42:53 2018  reading ideals above 720000
Sun Oct  7 07:42:53 2018  commencing singleton removal, initial pass
Sun Oct  7 07:46:01 2018  memory use: 753.0 MB
Sun Oct  7 07:46:01 2018  reading all ideals from disk
Sun Oct  7 07:46:02 2018  memory use: 1241.2 MB
Sun Oct  7 07:46:04 2018  keeping 38931096 ideals with weight <= 200, target excess is 191327
Sun Oct  7 07:46:06 2018  commencing in-memory singleton removal
Sun Oct  7 07:46:08 2018  begin with 35789183 relations and 38931096 unique ideals
Sun Oct  7 07:46:26 2018  reduce to 14056482 relations and 13808345 ideals in 22 passes
Sun Oct  7 07:46:26 2018  max relations containing the same ideal: 111
Sun Oct  7 07:46:30 2018  removing 287587 relations and 274488 ideals in 13099 cliques
Sun Oct  7 07:46:30 2018  commencing in-memory singleton removal
Sun Oct  7 07:46:31 2018  begin with 13768895 relations and 13808345 unique ideals
Sun Oct  7 07:46:36 2018  reduce to 13762914 relations and 13527861 ideals in 8 passes
Sun Oct  7 07:46:36 2018  max relations containing the same ideal: 109
Sun Oct  7 07:46:40 2018  removing 207147 relations and 194048 ideals in 13099 cliques
Sun Oct  7 07:46:40 2018  commencing in-memory singleton removal
Sun Oct  7 07:46:41 2018  begin with 13555767 relations and 13527861 unique ideals
Sun Oct  7 07:46:45 2018  reduce to 13552634 relations and 13330678 ideals in 7 passes
Sun Oct  7 07:46:45 2018  max relations containing the same ideal: 108
Sun Oct  7 07:46:47 2018  relations with 0 large ideals: 4098
Sun Oct  7 07:46:47 2018  relations with 1 large ideals: 1220
Sun Oct  7 07:46:47 2018  relations with 2 large ideals: 21070
Sun Oct  7 07:46:47 2018  relations with 3 large ideals: 178414
Sun Oct  7 07:46:47 2018  relations with 4 large ideals: 823811
Sun Oct  7 07:46:47 2018  relations with 5 large ideals: 2238347
Sun Oct  7 07:46:47 2018  relations with 6 large ideals: 3810163
Sun Oct  7 07:46:47 2018  relations with 7+ large ideals: 6475511
Sun Oct  7 07:46:47 2018  commencing 2-way merge
Sun Oct  7 07:46:54 2018  reduce to 7700378 relation sets and 7478441 unique ideals
Sun Oct  7 07:46:54 2018  ignored 19 oversize relation sets
Sun Oct  7 07:46:54 2018  commencing full merge
Sun Oct  7 07:48:14 2018  memory use: 868.7 MB
Sun Oct  7 07:48:14 2018  found 3935443 cycles, need 3928641
Sun Oct  7 07:48:15 2018  weight of 3928641 cycles is about 275266821 (70.07/cycle)
Sun Oct  7 07:48:15 2018  distribution of cycle lengths:
Sun Oct  7 07:48:15 2018  1 relations: 595193
Sun Oct  7 07:48:15 2018  2 relations: 544724
Sun Oct  7 07:48:15 2018  3 relations: 503756
Sun Oct  7 07:48:15 2018  4 relations: 431270
Sun Oct  7 07:48:15 2018  5 relations: 356969
Sun Oct  7 07:48:15 2018  6 relations: 297328
Sun Oct  7 07:48:15 2018  7 relations: 237565
Sun Oct  7 07:48:15 2018  8 relations: 187423
Sun Oct  7 07:48:15 2018  9 relations: 149508
Sun Oct  7 07:48:15 2018  10+ relations: 624905
Sun Oct  7 07:48:15 2018  heaviest cycle: 28 relations
Sun Oct  7 07:48:16 2018  commencing cycle optimization
Sun Oct  7 07:48:20 2018  start with 21823154 relations
Sun Oct  7 07:48:37 2018  pruned 379678 relations
Sun Oct  7 07:48:37 2018  memory use: 763.1 MB
Sun Oct  7 07:48:37 2018  distribution of cycle lengths:
Sun Oct  7 07:48:37 2018  1 relations: 595193
Sun Oct  7 07:48:37 2018  2 relations: 554973
Sun Oct  7 07:48:37 2018  3 relations: 518098
Sun Oct  7 07:48:37 2018  4 relations: 437048
Sun Oct  7 07:48:37 2018  5 relations: 360866
Sun Oct  7 07:48:37 2018  6 relations: 296802
Sun Oct  7 07:48:37 2018  7 relations: 235829
Sun Oct  7 07:48:37 2018  8 relations: 184570
Sun Oct  7 07:48:37 2018  9 relations: 146413
Sun Oct  7 07:48:37 2018  10+ relations: 598849
Sun Oct  7 07:48:37 2018  heaviest cycle: 28 relations
Sun Oct  7 07:48:41 2018  RelProcTime: 614
Sun Oct  7 07:48:41 2018  elapsed time 00:10:15
Sun Oct 07 07:48:41 2018 LatSieveTime: 2075.19
Sun Oct 07 07:48:41 2018 -> Running matrix solving step ...
Sun Oct 07 07:48:41 2018 -> ./msieve -s 23333_204/23333_204.dat -l 23333_204/23333_204.log -i 23333_204/23333_204.ini -nf 23333_204/23333_204.fb -t 8 -nc2
Sun Oct  7 07:48:41 2018  
Sun Oct  7 07:48:41 2018  
Sun Oct  7 07:48:41 2018  Msieve v. 1.53 (SVN Unversioned directory)
Sun Oct  7 07:48:41 2018  random seeds: 7ecc86c3 40958c0c
Sun Oct  7 07:48:41 2018  factoring 73912321751169978958816534414956028677223156031615437328034106898770683406114795152299145987887197152892516724085472204049605486065240752411656916584592527748012176478836888139 (176 digits)
Sun Oct  7 07:48:42 2018  no P-1/P+1/ECM available, skipping
Sun Oct  7 07:48:42 2018  commencing number field sieve (176-digit input)
Sun Oct  7 07:48:42 2018  R0: -50000000000000000000000000000000000000000
Sun Oct  7 07:48:42 2018  R1: 1
Sun Oct  7 07:48:42 2018  A0: -5
Sun Oct  7 07:48:42 2018  A1: 0
Sun Oct  7 07:48:42 2018  A2: 0
Sun Oct  7 07:48:42 2018  A3: 0
Sun Oct  7 07:48:42 2018  A4: 0
Sun Oct  7 07:48:42 2018  A5: 112
Sun Oct  7 07:48:42 2018  skew 0.54, size 2.591e-14, alpha 1.031, combined = 8.530e-12 rroots = 1
Sun Oct  7 07:48:42 2018  
Sun Oct  7 07:48:42 2018  commencing linear algebra
Sun Oct  7 07:48:42 2018  read 3928641 cycles
Sun Oct  7 07:48:46 2018  cycles contain 13175182 unique relations
Sun Oct  7 07:49:37 2018  read 13175182 relations
Sun Oct  7 07:49:47 2018  using 20 quadratic characters above 4294917295
Sun Oct  7 07:50:33 2018  building initial matrix
Sun Oct  7 07:51:40 2018  memory use: 1628.5 MB
Sun Oct  7 07:51:41 2018  read 3928641 cycles
Sun Oct  7 07:51:42 2018  matrix is 3928461 x 3928641 (1186.3 MB) with weight 346939165 (88.31/col)
Sun Oct  7 07:51:42 2018  sparse part has weight 267759672 (68.16/col)
Sun Oct  7 07:52:07 2018  filtering completed in 2 passes
Sun Oct  7 07:52:08 2018  matrix is 3923213 x 3923392 (1185.8 MB) with weight 346761011 (88.38/col)
Sun Oct  7 07:52:08 2018  sparse part has weight 267698897 (68.23/col)
Sun Oct  7 07:52:12 2018  matrix starts at (0, 0)
Sun Oct  7 07:52:13 2018  matrix is 3923213 x 3923392 (1185.8 MB) with weight 346761011 (88.38/col)
Sun Oct  7 07:52:13 2018  sparse part has weight 267698897 (68.23/col)
Sun Oct  7 07:52:13 2018  saving the first 48 matrix rows for later
Sun Oct  7 07:52:13 2018  matrix includes 64 packed rows
Sun Oct  7 07:52:13 2018  matrix is 3923165 x 3923392 (1125.7 MB) with weight 276035910 (70.36/col)
Sun Oct  7 07:52:13 2018  sparse part has weight 255854777 (65.21/col)
Sun Oct  7 07:52:13 2018  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Oct  7 07:52:21 2018  commencing Lanczos iteration (8 threads)
Sun Oct  7 07:52:21 2018  memory use: 920.8 MB
Sun Oct  7 07:52:29 2018  linear algebra at 0.0%, ETA 5h44m
Sun Oct  7 07:52:32 2018  checkpointing every 670000 dimensions
Sun Oct  7 13:21:13 2018  lanczos halted after 62042 iterations (dim = 3923163)
Sun Oct  7 13:21:16 2018  recovered 38 nontrivial dependencies
Sun Oct  7 13:21:16 2018  BLanczosTime: 19954
Sun Oct  7 13:21:16 2018  elapsed time 05:32:35
Sun Oct 07 13:21:16 2018 -> Running square root step ...
Sun Oct 07 13:21:16 2018 -> ./msieve -s 23333_204/23333_204.dat -l 23333_204/23333_204.log -i 23333_204/23333_204.ini -nf 23333_204/23333_204.fb -t 8 -nc3
Sun Oct  7 13:21:16 2018  
Sun Oct  7 13:21:16 2018  
Sun Oct  7 13:21:16 2018  Msieve v. 1.53 (SVN Unversioned directory)
Sun Oct  7 13:21:16 2018  random seeds: b8db076b 6a5c3507
Sun Oct  7 13:21:16 2018  factoring 73912321751169978958816534414956028677223156031615437328034106898770683406114795152299145987887197152892516724085472204049605486065240752411656916584592527748012176478836888139 (176 digits)
Sun Oct  7 13:21:16 2018  no P-1/P+1/ECM available, skipping
Sun Oct  7 13:21:16 2018  commencing number field sieve (176-digit input)
Sun Oct  7 13:21:16 2018  R0: -50000000000000000000000000000000000000000
Sun Oct  7 13:21:16 2018  R1: 1
Sun Oct  7 13:21:16 2018  A0: -5
Sun Oct  7 13:21:16 2018  A1: 0
Sun Oct  7 13:21:16 2018  A2: 0
Sun Oct  7 13:21:16 2018  A3: 0
Sun Oct  7 13:21:16 2018  A4: 0
Sun Oct  7 13:21:16 2018  A5: 112
Sun Oct  7 13:21:16 2018  skew 0.54, size 2.591e-14, alpha 1.031, combined = 8.530e-12 rroots = 1
Sun Oct  7 13:21:16 2018  
Sun Oct  7 13:21:16 2018  commencing square root phase
Sun Oct  7 13:21:16 2018  reading relations for dependency 1
Sun Oct  7 13:21:17 2018  read 1962126 cycles
Sun Oct  7 13:21:18 2018  cycles contain 6587010 unique relations
Sun Oct  7 13:21:45 2018  read 6587010 relations
Sun Oct  7 13:22:03 2018  multiplying 6587010 relations
Sun Oct  7 13:24:49 2018  multiply complete, coefficients have about 199.40 million bits
Sun Oct  7 13:24:49 2018  initial square root is modulo 14322881
Sun Oct  7 13:28:20 2018  GCD is N, no factor found
Sun Oct  7 13:28:20 2018  reading relations for dependency 2
Sun Oct  7 13:28:20 2018  read 1960751 cycles
Sun Oct  7 13:28:22 2018  cycles contain 6587956 unique relations
Sun Oct  7 13:28:48 2018  read 6587956 relations
Sun Oct  7 13:29:07 2018  multiplying 6587956 relations
Sun Oct  7 13:31:53 2018  multiply complete, coefficients have about 199.43 million bits
Sun Oct  7 13:31:53 2018  initial square root is modulo 14349901
Sun Oct  7 13:35:24 2018  found factor: 197096876686173937512741009580178787148551499
Sun Oct  7 13:35:24 2018  reading relations for dependency 3
Sun Oct  7 13:35:24 2018  read 1963050 cycles
Sun Oct  7 13:35:26 2018  cycles contain 6591800 unique relations
Sun Oct  7 13:35:52 2018  read 6591800 relations
Sun Oct  7 13:36:10 2018  multiplying 6591800 relations
Sun Oct  7 13:38:57 2018  multiply complete, coefficients have about 199.54 million bits
Sun Oct  7 13:38:57 2018  initial square root is modulo 14490031
Sun Oct  7 13:42:28 2018  found factor: 197096876686173937512741009580178787148551499
Sun Oct  7 13:42:28 2018  reading relations for dependency 4
Sun Oct  7 13:42:28 2018  read 1962953 cycles
Sun Oct  7 13:42:30 2018  cycles contain 6585952 unique relations
Sun Oct  7 13:42:56 2018  read 6585952 relations
Sun Oct  7 13:43:14 2018  multiplying 6585952 relations
Sun Oct  7 13:46:00 2018  multiply complete, coefficients have about 199.37 million bits
Sun Oct  7 13:46:00 2018  initial square root is modulo 14285471
Sun Oct  7 13:49:30 2018  found factor: 197096876686173937512741009580178787148551499
Sun Oct  7 13:49:30 2018  reading relations for dependency 5
Sun Oct  7 13:49:31 2018  read 1960370 cycles
Sun Oct  7 13:49:32 2018  cycles contain 6580198 unique relations
Sun Oct  7 13:49:59 2018  read 6580198 relations
Sun Oct  7 13:50:17 2018  multiplying 6580198 relations
Sun Oct  7 13:53:02 2018  multiply complete, coefficients have about 199.19 million bits
Sun Oct  7 13:53:02 2018  initial square root is modulo 14075161
Sun Oct  7 13:56:27 2018  sqrtTime: 2111
Sun Oct  7 13:56:27 2018  p45 factor: 197096876686173937512741009580178787148551499
Sun Oct  7 13:56:27 2018  p45 factor: 592183479603327372784653411713735059795634987
Sun Oct  7 13:56:27 2018  p87 factor: 633258189424000318140650003703129944686920995267263320572063306394764332144767240323203
Sun Oct  7 13:56:27 2018  elapsed time 00:35:11
Sun Oct 07 13:56:27 2018 -> Computing time scale for this machine...
Sun Oct 07 13:56:27 2018 -> procrels -speedtest> PIPE
Sun Oct 07 13:56:30 2018 -> Factorization summary written to s206-23333_204.txt

GGNFS 0.77.1, gnfs-lasieve4I14e, with asm64 (aka experimental/lasieve4_64), L1_BITS=15
Msieve 1.53
factmsieve.py 0.86

8 threads
Fedora Linux 28
Core i7-2600K, overclocked to 4.5 GHz.

10235622579790605198516863610712082797849609691576896772874646437487547277596785626024201893000810113117618678289166975030515874677612415684905265627468793325713383161317898130876660150884280446143<197>

1668400348993268219671875387365466025860029507261871419771626273792640888727988428174806278253<94>
6134991871685292134946609902688904753401741917770197546649868861875604543857079026672714571572811415131<103>

N=10235622579790605198516863610712082797849609691576896772874646437487547277596785626024201893000810113117618678289166975030515874677612415684905265627468793325713383161317898130876660150884280446143
  ( 197 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=1668400348993268219671875387365466025860029507261871419771626273792640888727988428174806278253 (pp94)
 r2=6134991871685292134946609902688904753401741917770197546649868861875604543857079026672714571572811415131 (pp103)
Version: Msieve v. 1.50
Total time:
Scaled time: 221.38 units (timescale=1.938).
Factorization parameters were as follows:
n: 10235622579790605198516863610712082797849609691576896772874646437487547277596785626024201893000810113117618678289166975030515874677612415684905265627468793325713383161317898130876660150884280446143
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9450000, 19690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3569634 x 3569861
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,205.000,5,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time:

2440867177327252251845922226215875781455308938171949631254013189156688359130044793898318818627881572490457466629215788706880542369841155256425038978288406746164077667948052698971731193701<187>

3246585372569621878744634242013<31>
751825963965131711855414660935819282563178042642258386989117603598755251980211491191155841913836887641304824948996892684721186622296485372467320080344519977<156>

********** Factor found in step 2: 3246585372569621878744634242013
Found probable prime factor of 31 digits: 3246585372569621878744634242013
Probable prime cofactor 751825963965131711855414660935819282563178042642258386989117603598755251980211491191155841913836887641304824948996892684721186622296485372467320080344519977 has 156 digits

2333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<208>

507958169802281866830472273748115887509881614230152494778868313531<66>
4593554099625097622751964826495562992878456917056456138444224866181889825648109472974025915923232695343843908473856877777140437966954380906543<142>

Number: 23333_207
N = 2333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (208 digits)
SNFS difficulty: 208 digits.
Divisors found:
r1=507958169802281866830472273748115887509881614230152494778868313531 (pp66)
r2=4593554099625097622751964826495562992878456917056456138444224866181889825648109472974025915923232695343843908473856877777140437966954380906543 (pp142)
Version: Msieve v. 1.47
Total time: 743.80 hours.
Factorization parameters were as follows:
n: 2333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 100000000000000000000000000000000000000000
deg: 5
c5: 700
c0: -1
skew: 0.27
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [10000000, 22100000)
Relations: 39142019
Relations in full relation-set: 6094196 relations
Pruned matrix : 3725877 x 3726102
Polynomial selection time: 0.00 hours.
Total sieving time: 731.04 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 12.04 hours.
time per square root: 0.43 hours.

GGNFS, Msieve

255418083085020621921848801999963970518244378318709131852759728438141366489827307610118582825816438016235954958473736052138318794673918695198305944186907912794170466347614457420761610271<186>

1637575427283887837740172461748129191679<40>

155973324238665247239684730458066190459418657974154005121987988186416947728784275159436362223342698736673050363403474372350321904098488648963342049<147>

********** Factor found in step 2: 1637575427283887837740172461748129191679
Found probable prime factor of 40 digits: 1637575427283887837740172461748129191679
Composite cofactor 155973324238665247239684730458066190459418657974154005121987988186416947728784275159436362223342698736673050363403474372350321904098488648963342049 has 147 digits

155973324238665247239684730458066190459418657974154005121987988186416947728784275159436362223342698736673050363403474372350321904098488648963342049<147>

4182965539490561818044177582495065019292592971<46>
37287738272321756883127673356370239482232307804354701791410323626320203595525759263987638627912783619<101>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1369448182
Step 1 took 59693ms
Step 2 took 30370ms
********** Factor found in step 2: 4182965539490561818044177582495065019292592971
Found probable prime factor of 46 digits: 4182965539490561818044177582495065019292592971
Probable prime cofactor 37287738272321756883127673356370239482232307804354701791410323626320203595525759263987638627912783619 has 101 digits

81665216887563802096122462861922423503014210921873634382268844287280054879869305724319182128684905427411375275579100425044054365496833810791625361369348233762243<161>

155271082161750037355096311632111682655339446567<48>
525952519623009791353766719081288792718844623921763129510958196066624630246169628322095984809448332496359150055429<114>

#
# N = 7x10^209-1 = 23(209)
#
n: 81665216887563802096122462861922423503014210921873634382268844287280054879869305724319182128684905427411375275579100425044054365496833810791625361369348233762243
m: 500000000000000000000000000000000000000000
deg: 5
c5: 112
c0: -5
skew: 0.54
# Murphy_E = 5.909e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 81665216887563802096122462861922423503014210921873634382268844287280054879869305724319182128684905427411375275579100425044054365496833810791625361369348233762243 (161 digits)
Using B1=57500000, B2=388127758210, polynomial Dickson(30), sigma=1:3719608147
Step 1 took 133841ms
Step 2 took 57237ms
********** Factor found in step 2: 155271082161750037355096311632111682655339446567
Found prime factor of 48 digits: 155271082161750037355096311632111682655339446567
Prime cofactor 525952519623009791353766719081288792718844623921763129510958196066624630246169628322095984809448332496359150055429 has 114 digits

11284530186011140591499897257729801951747684554650366772121237212431549568013511426698789705186298268213039675833302950145453910270608058711285611794307646999725420841384916398008857648590027203<194>

111325212668611460094745751244094538535682670397794219975808060238553776581961709099<84>
101365449169205620909283284271993234885233891743481547629660805156678931981135213370360966679929971855323895497<111>

Wed Oct 30 21:00:07 2024  
Wed Oct 30 21:00:07 2024  
Wed Oct 30 21:00:07 2024  Msieve v. 1.54 (SVN unknown)
Wed Oct 30 21:00:07 2024  random seeds: dddc1885 fe55afc7
Wed Oct 30 21:00:07 2024  MPI process 0 of 1
Wed Oct 30 21:00:07 2024  factoring 11284530186011140591499897257729801951747684554650366772121237212431549568013511426698789705186298268213039675833302950145453910270608058711285611794307646999725420841384916398008857648590027203 (194 digits)
Wed Oct 30 21:00:07 2024  searching for 15-digit factors
Wed Oct 30 21:00:07 2024  commencing number field sieve (194-digit input)
Wed Oct 30 21:00:07 2024  R0: 100000000000000000000000000000000000
Wed Oct 30 21:00:07 2024  R1: -1
Wed Oct 30 21:00:07 2024  A0: -1
Wed Oct 30 21:00:07 2024  A1: 0
Wed Oct 30 21:00:07 2024  A2: 0
Wed Oct 30 21:00:07 2024  A3: 0
Wed Oct 30 21:00:07 2024  A4: 0
Wed Oct 30 21:00:07 2024  A5: 0
Wed Oct 30 21:00:07 2024  A6: 70
Wed Oct 30 21:00:07 2024  skew 1.00, size 1.966e-10, alpha 0.336, combined = 5.319e-12 rroots = 2
Wed Oct 30 21:00:07 2024  
Wed Oct 30 21:00:07 2024  commencing relation filtering
Wed Oct 30 21:00:07 2024  setting target matrix density to 140.0
Wed Oct 30 21:00:07 2024  estimated available RAM is 64038.1 MB
Wed Oct 30 21:00:07 2024  commencing duplicate removal, pass 1
Wed Oct 30 21:00:58 2024  error -9 reading relation 21235113
Wed Oct 30 21:01:31 2024  error -9 reading relation 35370126
Wed Oct 30 21:02:09 2024  error -9 reading relation 51851139
Wed Oct 30 21:02:18 2024  error -15 reading relation 55809745
Wed Oct 30 21:02:18 2024  error -15 reading relation 56084728
Wed Oct 30 21:02:27 2024  error -15 reading relation 59999745
Wed Oct 30 21:02:35 2024  error -9 reading relation 63804593
Wed Oct 30 21:02:39 2024  skipped 4 relations with b > 2^32
Wed Oct 30 21:02:39 2024  skipped 3 relations with composite factors
Wed Oct 30 21:02:39 2024  found 1937506 hash collisions in 65792294 relations
Wed Oct 30 21:02:45 2024  added 1219421 free relations
Wed Oct 30 21:02:45 2024  commencing duplicate removal, pass 2
Wed Oct 30 21:02:55 2024  found 0 duplicates and 67011715 unique relations
Wed Oct 30 21:02:55 2024  memory use: 194.6 MB
Wed Oct 30 21:02:55 2024  reading ideals above 720000
Wed Oct 30 21:02:55 2024  commencing singleton removal, initial pass
Wed Oct 30 21:05:34 2024  memory use: 1506.0 MB
Wed Oct 30 21:05:34 2024  reading all ideals from disk
Wed Oct 30 21:05:35 2024  memory use: 2342.9 MB
Wed Oct 30 21:05:36 2024  keeping 63338197 ideals with weight <= 200, target excess is 367362
Wed Oct 30 21:05:39 2024  commencing in-memory singleton removal
Wed Oct 30 21:05:40 2024  begin with 67011715 relations and 63338197 unique ideals
Wed Oct 30 21:05:53 2024  reduce to 34056319 relations and 26209537 ideals in 13 passes
Wed Oct 30 21:05:53 2024  max relations containing the same ideal: 134
Wed Oct 30 21:06:00 2024  removing 4227831 relations and 3227831 ideals in 1000000 cliques
Wed Oct 30 21:06:00 2024  commencing in-memory singleton removal
Wed Oct 30 21:06:01 2024  begin with 29828488 relations and 26209537 unique ideals
Wed Oct 30 21:06:06 2024  reduce to 29390421 relations and 22527333 ideals in 8 passes
Wed Oct 30 21:06:06 2024  max relations containing the same ideal: 119
Wed Oct 30 21:06:12 2024  removing 3376778 relations and 2376778 ideals in 1000000 cliques
Wed Oct 30 21:06:13 2024  commencing in-memory singleton removal
Wed Oct 30 21:06:13 2024  begin with 26013643 relations and 22527333 unique ideals
Wed Oct 30 21:06:17 2024  reduce to 25740057 relations and 19867820 ideals in 7 passes
Wed Oct 30 21:06:17 2024  max relations containing the same ideal: 110
Wed Oct 30 21:06:22 2024  removing 3124830 relations and 2124830 ideals in 1000000 cliques
Wed Oct 30 21:06:23 2024  commencing in-memory singleton removal
Wed Oct 30 21:06:23 2024  begin with 22615227 relations and 19867820 unique ideals
Wed Oct 30 21:06:27 2024  reduce to 22366557 relations and 17485340 ideals in 7 passes
Wed Oct 30 21:06:27 2024  max relations containing the same ideal: 97
Wed Oct 30 21:06:31 2024  removing 3000073 relations and 2000073 ideals in 1000000 cliques
Wed Oct 30 21:06:31 2024  commencing in-memory singleton removal
Wed Oct 30 21:06:32 2024  begin with 19366484 relations and 17485340 unique ideals
Wed Oct 30 21:06:35 2024  reduce to 19117198 relations and 15226063 ideals in 8 passes
Wed Oct 30 21:06:35 2024  max relations containing the same ideal: 88
Wed Oct 30 21:06:39 2024  removing 2930736 relations and 1930736 ideals in 1000000 cliques
Wed Oct 30 21:06:39 2024  commencing in-memory singleton removal
Wed Oct 30 21:06:39 2024  begin with 16186462 relations and 15226063 unique ideals
Wed Oct 30 21:06:42 2024  reduce to 15921954 relations and 13018700 ideals in 8 passes
Wed Oct 30 21:06:42 2024  max relations containing the same ideal: 81
Wed Oct 30 21:06:45 2024  removing 2886210 relations and 1886210 ideals in 1000000 cliques
Wed Oct 30 21:06:45 2024  commencing in-memory singleton removal
Wed Oct 30 21:06:45 2024  begin with 13035744 relations and 13018700 unique ideals
Wed Oct 30 21:06:47 2024  reduce to 12742356 relations and 10823070 ideals in 6 passes
Wed Oct 30 21:06:47 2024  max relations containing the same ideal: 67
Wed Oct 30 21:06:49 2024  removing 2851445 relations and 1851445 ideals in 1000000 cliques
Wed Oct 30 21:06:50 2024  commencing in-memory singleton removal
Wed Oct 30 21:06:50 2024  begin with 9890911 relations and 10823070 unique ideals
Wed Oct 30 21:06:51 2024  reduce to 9542927 relations and 8600644 ideals in 7 passes
Wed Oct 30 21:06:51 2024  max relations containing the same ideal: 55
Wed Oct 30 21:06:53 2024  removing 1628949 relations and 1112806 ideals in 516143 cliques
Wed Oct 30 21:06:53 2024  commencing in-memory singleton removal
Wed Oct 30 21:06:53 2024  begin with 7913978 relations and 8600644 unique ideals
Wed Oct 30 21:06:54 2024  reduce to 7739305 relations and 7304594 ideals in 7 passes
Wed Oct 30 21:06:54 2024  max relations containing the same ideal: 50
Wed Oct 30 21:06:55 2024  removing 50350 relations and 41779 ideals in 8571 cliques
Wed Oct 30 21:06:55 2024  commencing in-memory singleton removal
Wed Oct 30 21:06:55 2024  begin with 7688955 relations and 7304594 unique ideals
Wed Oct 30 21:06:56 2024  reduce to 7688744 relations and 7262604 ideals in 5 passes
Wed Oct 30 21:06:56 2024  max relations containing the same ideal: 50
Wed Oct 30 21:06:56 2024  relations with 0 large ideals: 13255
Wed Oct 30 21:06:56 2024  relations with 1 large ideals: 12033
Wed Oct 30 21:06:56 2024  relations with 2 large ideals: 124848
Wed Oct 30 21:06:56 2024  relations with 3 large ideals: 603904
Wed Oct 30 21:06:56 2024  relations with 4 large ideals: 1500030
Wed Oct 30 21:06:56 2024  relations with 5 large ideals: 2128137
Wed Oct 30 21:06:56 2024  relations with 6 large ideals: 1828620
Wed Oct 30 21:06:56 2024  relations with 7+ large ideals: 1477917
Wed Oct 30 21:06:56 2024  commencing 2-way merge
Wed Oct 30 21:06:58 2024  reduce to 5018112 relation sets and 4591972 unique ideals
Wed Oct 30 21:06:58 2024  commencing full merge
Wed Oct 30 21:08:23 2024  memory use: 216.9 MB
Wed Oct 30 21:08:23 2024  found 18386 cycles, need 1201224
Wed Oct 30 21:08:23 2024  too few cycles, matrix probably cannot build
Wed Oct 30 21:08:23 2024  filtering wants 1000000 more relations
Wed Oct 30 21:08:23 2024  elapsed time 00:08:16
Wed Oct 30 21:08:57 2024  
Wed Oct 30 21:08:57 2024  
Wed Oct 30 21:08:57 2024  Msieve v. 1.54 (SVN unknown)
Wed Oct 30 21:08:57 2024  random seeds: ba9bad51 c5631343
Wed Oct 30 21:08:57 2024  MPI process 0 of 1
Wed Oct 30 21:08:57 2024  factoring 11284530186011140591499897257729801951747684554650366772121237212431549568013511426698789705186298268213039675833302950145453910270608058711285611794307646999725420841384916398008857648590027203 (194 digits)
Wed Oct 30 21:08:57 2024  searching for 15-digit factors
Wed Oct 30 21:08:57 2024  commencing number field sieve (194-digit input)
Wed Oct 30 21:08:57 2024  R0: 100000000000000000000000000000000000
Wed Oct 30 21:08:57 2024  R1: -1
Wed Oct 30 21:08:57 2024  A0: -1
Wed Oct 30 21:08:57 2024  A1: 0
Wed Oct 30 21:08:57 2024  A2: 0
Wed Oct 30 21:08:57 2024  A3: 0
Wed Oct 30 21:08:57 2024  A4: 0
Wed Oct 30 21:08:57 2024  A5: 0
Wed Oct 30 21:08:57 2024  A6: 70
Wed Oct 30 21:08:57 2024  skew 1.00, size 1.966e-10, alpha 0.336, combined = 5.319e-12 rroots = 2
Wed Oct 30 21:08:57 2024  
Wed Oct 30 21:08:57 2024  commencing relation filtering
Wed Oct 30 21:08:57 2024  setting target matrix density to 130.0
Wed Oct 30 21:08:57 2024  estimated available RAM is 64038.1 MB
Wed Oct 30 21:08:57 2024  commencing duplicate removal, pass 1
Wed Oct 30 21:09:47 2024  error -9 reading relation 21235113
Wed Oct 30 21:10:20 2024  error -9 reading relation 35370126
Wed Oct 30 21:10:58 2024  error -9 reading relation 51851139
Wed Oct 30 21:11:07 2024  error -15 reading relation 55809745
Wed Oct 30 21:11:08 2024  error -15 reading relation 56084728
Wed Oct 30 21:11:16 2024  error -15 reading relation 59999745
Wed Oct 30 21:11:24 2024  error -9 reading relation 63804593
Wed Oct 30 21:11:36 2024  skipped 4 relations with b > 2^32
Wed Oct 30 21:11:36 2024  skipped 3 relations with composite factors
Wed Oct 30 21:11:36 2024  found 2008129 hash collisions in 67011715 relations
Wed Oct 30 21:11:40 2024  commencing duplicate removal, pass 2
Wed Oct 30 21:11:50 2024  found 0 duplicates and 67011715 unique relations
Wed Oct 30 21:11:50 2024  memory use: 194.6 MB
Wed Oct 30 21:11:50 2024  reading ideals above 720000
Wed Oct 30 21:11:50 2024  commencing singleton removal, initial pass
Wed Oct 30 21:14:31 2024  memory use: 1506.0 MB
Wed Oct 30 21:14:31 2024  reading all ideals from disk
Wed Oct 30 21:14:32 2024  memory use: 2342.9 MB
Wed Oct 30 21:14:34 2024  keeping 63338197 ideals with weight <= 200, target excess is 367362
Wed Oct 30 21:14:36 2024  commencing in-memory singleton removal
Wed Oct 30 21:14:37 2024  begin with 67011715 relations and 63338197 unique ideals
Wed Oct 30 21:14:50 2024  reduce to 34056319 relations and 26209537 ideals in 13 passes
Wed Oct 30 21:14:50 2024  max relations containing the same ideal: 134
Wed Oct 30 21:14:56 2024  removing 4227831 relations and 3227831 ideals in 1000000 cliques
Wed Oct 30 21:14:57 2024  commencing in-memory singleton removal
Wed Oct 30 21:14:58 2024  begin with 29828488 relations and 26209537 unique ideals
Wed Oct 30 21:15:03 2024  reduce to 29390421 relations and 22527333 ideals in 8 passes
Wed Oct 30 21:15:03 2024  max relations containing the same ideal: 119
Wed Oct 30 21:15:09 2024  removing 3376778 relations and 2376778 ideals in 1000000 cliques
Wed Oct 30 21:15:09 2024  commencing in-memory singleton removal
Wed Oct 30 21:15:10 2024  begin with 26013643 relations and 22527333 unique ideals
Wed Oct 30 21:15:14 2024  reduce to 25740057 relations and 19867820 ideals in 7 passes
Wed Oct 30 21:15:14 2024  max relations containing the same ideal: 110
Wed Oct 30 21:15:19 2024  removing 3124830 relations and 2124830 ideals in 1000000 cliques
Wed Oct 30 21:15:19 2024  commencing in-memory singleton removal
Wed Oct 30 21:15:20 2024  begin with 22615227 relations and 19867820 unique ideals
Wed Oct 30 21:15:23 2024  reduce to 22366557 relations and 17485340 ideals in 7 passes
Wed Oct 30 21:15:23 2024  max relations containing the same ideal: 97
Wed Oct 30 21:15:28 2024  removing 3000073 relations and 2000073 ideals in 1000000 cliques
Wed Oct 30 21:15:28 2024  commencing in-memory singleton removal
Wed Oct 30 21:15:28 2024  begin with 19366484 relations and 17485340 unique ideals
Wed Oct 30 21:15:32 2024  reduce to 19117198 relations and 15226063 ideals in 8 passes
Wed Oct 30 21:15:32 2024  max relations containing the same ideal: 88
Wed Oct 30 21:15:35 2024  removing 2930736 relations and 1930736 ideals in 1000000 cliques
Wed Oct 30 21:15:36 2024  commencing in-memory singleton removal
Wed Oct 30 21:15:36 2024  begin with 16186462 relations and 15226063 unique ideals
Wed Oct 30 21:15:38 2024  reduce to 15921954 relations and 13018700 ideals in 8 passes
Wed Oct 30 21:15:38 2024  max relations containing the same ideal: 81
Wed Oct 30 21:15:42 2024  removing 2886210 relations and 1886210 ideals in 1000000 cliques
Wed Oct 30 21:15:42 2024  commencing in-memory singleton removal
Wed Oct 30 21:15:42 2024  begin with 13035744 relations and 13018700 unique ideals
Wed Oct 30 21:15:44 2024  reduce to 12742356 relations and 10823070 ideals in 6 passes
Wed Oct 30 21:15:44 2024  max relations containing the same ideal: 67
Wed Oct 30 21:15:46 2024  removing 2851445 relations and 1851445 ideals in 1000000 cliques
Wed Oct 30 21:15:47 2024  commencing in-memory singleton removal
Wed Oct 30 21:15:47 2024  begin with 9890911 relations and 10823070 unique ideals
Wed Oct 30 21:15:48 2024  reduce to 9542927 relations and 8600644 ideals in 7 passes
Wed Oct 30 21:15:48 2024  max relations containing the same ideal: 55
Wed Oct 30 21:15:50 2024  removing 1628949 relations and 1112806 ideals in 516143 cliques
Wed Oct 30 21:15:50 2024  commencing in-memory singleton removal
Wed Oct 30 21:15:50 2024  begin with 7913978 relations and 8600644 unique ideals
Wed Oct 30 21:15:51 2024  reduce to 7739305 relations and 7304594 ideals in 7 passes
Wed Oct 30 21:15:51 2024  max relations containing the same ideal: 50
Wed Oct 30 21:15:52 2024  removing 50350 relations and 41779 ideals in 8571 cliques
Wed Oct 30 21:15:52 2024  commencing in-memory singleton removal
Wed Oct 30 21:15:52 2024  begin with 7688955 relations and 7304594 unique ideals
Wed Oct 30 21:15:53 2024  reduce to 7688744 relations and 7262604 ideals in 5 passes
Wed Oct 30 21:15:53 2024  max relations containing the same ideal: 50
Wed Oct 30 21:15:53 2024  relations with 0 large ideals: 13255
Wed Oct 30 21:15:53 2024  relations with 1 large ideals: 12033
Wed Oct 30 21:15:53 2024  relations with 2 large ideals: 124848
Wed Oct 30 21:15:53 2024  relations with 3 large ideals: 603904
Wed Oct 30 21:15:53 2024  relations with 4 large ideals: 1500030
Wed Oct 30 21:15:53 2024  relations with 5 large ideals: 2128137
Wed Oct 30 21:15:53 2024  relations with 6 large ideals: 1828620
Wed Oct 30 21:15:53 2024  relations with 7+ large ideals: 1477917
Wed Oct 30 21:15:53 2024  commencing 2-way merge
Wed Oct 30 21:15:55 2024  reduce to 5018112 relation sets and 4591972 unique ideals
Wed Oct 30 21:15:55 2024  commencing full merge
Wed Oct 30 21:16:45 2024  memory use: 623.8 MB
Wed Oct 30 21:16:46 2024  found 2212199 cycles, need 2196172
Wed Oct 30 21:16:46 2024  weight of 2196172 cycles is about 286150034 (130.29/cycle)
Wed Oct 30 21:16:46 2024  distribution of cycle lengths:
Wed Oct 30 21:16:46 2024  1 relations: 50464
Wed Oct 30 21:16:46 2024  2 relations: 85100
Wed Oct 30 21:16:46 2024  3 relations: 114997
Wed Oct 30 21:16:46 2024  4 relations: 130509
Wed Oct 30 21:16:46 2024  5 relations: 143157
Wed Oct 30 21:16:46 2024  6 relations: 149715
Wed Oct 30 21:16:46 2024  7 relations: 152633
Wed Oct 30 21:16:46 2024  8 relations: 149902
Wed Oct 30 21:16:46 2024  9 relations: 145925
Wed Oct 30 21:16:46 2024  10+ relations: 1073770
Wed Oct 30 21:16:46 2024  heaviest cycle: 28 relations
Wed Oct 30 21:16:46 2024  commencing cycle optimization
Wed Oct 30 21:16:48 2024  start with 22371136 relations
Wed Oct 30 21:17:13 2024  pruned 1251960 relations
Wed Oct 30 21:17:13 2024  memory use: 545.7 MB
Wed Oct 30 21:17:13 2024  distribution of cycle lengths:
Wed Oct 30 21:17:13 2024  1 relations: 50464
Wed Oct 30 21:17:13 2024  2 relations: 87434
Wed Oct 30 21:17:13 2024  3 relations: 120168
Wed Oct 30 21:17:13 2024  4 relations: 136804
Wed Oct 30 21:17:13 2024  5 relations: 151913
Wed Oct 30 21:17:13 2024  6 relations: 159224
Wed Oct 30 21:17:13 2024  7 relations: 163458
Wed Oct 30 21:17:13 2024  8 relations: 160542
Wed Oct 30 21:17:13 2024  9 relations: 156343
Wed Oct 30 21:17:13 2024  10+ relations: 1009822
Wed Oct 30 21:17:13 2024  heaviest cycle: 28 relations
Wed Oct 30 21:17:14 2024  RelProcTime: 497
Wed Oct 30 21:17:14 2024  elapsed time 00:08:17
Wed Oct 30 21:17:28 2024  
Wed Oct 30 21:17:28 2024  
Wed Oct 30 21:17:28 2024  Msieve v. 1.54 (SVN unknown)
Wed Oct 30 21:17:28 2024  random seeds: 2343b115 b7feb9dd
Wed Oct 30 21:17:28 2024  MPI process 0 of 1
Wed Oct 30 21:17:28 2024  factoring 11284530186011140591499897257729801951747684554650366772121237212431549568013511426698789705186298268213039675833302950145453910270608058711285611794307646999725420841384916398008857648590027203 (194 digits)
Wed Oct 30 21:17:28 2024  searching for 15-digit factors
Wed Oct 30 21:17:29 2024  commencing number field sieve (194-digit input)
Wed Oct 30 21:17:29 2024  R0: 100000000000000000000000000000000000
Wed Oct 30 21:17:29 2024  R1: -1
Wed Oct 30 21:17:29 2024  A0: -1
Wed Oct 30 21:17:29 2024  A1: 0
Wed Oct 30 21:17:29 2024  A2: 0
Wed Oct 30 21:17:29 2024  A3: 0
Wed Oct 30 21:17:29 2024  A4: 0
Wed Oct 30 21:17:29 2024  A5: 0
Wed Oct 30 21:17:29 2024  A6: 70
Wed Oct 30 21:17:29 2024  skew 1.00, size 1.966e-10, alpha 0.336, combined = 5.319e-12 rroots = 2
Wed Oct 30 21:17:29 2024  
Wed Oct 30 21:17:29 2024  commencing linear algebra
Wed Oct 30 21:17:29 2024  initialized process (0,0) of 1 x 1 grid
Wed Oct 30 21:17:29 2024  read 2196172 cycles
Wed Oct 30 21:17:30 2024  cycles contain 7488723 unique relations
Wed Oct 30 21:17:42 2024  read 7488723 relations
Wed Oct 30 21:17:48 2024  using 20 quadratic characters above 4294917295
Wed Oct 30 21:18:04 2024  building initial matrix
Wed Oct 30 21:18:44 2024  memory use: 957.9 MB
Wed Oct 30 21:18:45 2024  read 2196172 cycles
Wed Oct 30 21:18:45 2024  matrix is 2195995 x 2196172 (1100.2 MB) with weight 323146811 (147.14/col)
Wed Oct 30 21:18:45 2024  sparse part has weight 264265129 (120.33/col)
Wed Oct 30 21:18:54 2024  filtering completed in 2 passes
Wed Oct 30 21:18:54 2024  matrix is 2195975 x 2196147 (1100.2 MB) with weight 323145501 (147.14/col)
Wed Oct 30 21:18:54 2024  sparse part has weight 264264424 (120.33/col)
Wed Oct 30 21:18:57 2024  matrix starts at (0, 0)
Wed Oct 30 21:18:57 2024  matrix is 2195975 x 2196147 (1100.2 MB) with weight 323145501 (147.14/col)
Wed Oct 30 21:18:57 2024  sparse part has weight 264264424 (120.33/col)
Wed Oct 30 21:18:57 2024  saving the first 240 matrix rows for later
Wed Oct 30 21:18:57 2024  matrix includes 256 packed rows
Wed Oct 30 21:18:57 2024  matrix is 2195735 x 2196147 (991.5 MB) with weight 239768114 (109.18/col)
Wed Oct 30 21:18:57 2024  sparse part has weight 224789272 (102.36/col)
Wed Oct 30 21:18:57 2024  using block size 8192 and superblock size 884736 for processor cache size 36864 kB
Wed Oct 30 21:19:00 2024  commencing Lanczos iteration (32 threads)
Wed Oct 30 21:19:00 2024  memory use: 1395.5 MB
Wed Oct 30 21:19:02 2024  linear algebra at 0.1%, ETA 0h23m
Wed Oct 30 21:19:02 2024  checkpointing every 7350000 dimensions
Wed Oct 30 21:49:11 2024  lanczos halted after 8605 iterations (dim = 2195733)
Wed Oct 30 21:49:15 2024  recovered 36 nontrivial dependencies
Wed Oct 30 21:49:15 2024  BLanczosTime: 1906
Wed Oct 30 21:49:15 2024  elapsed time 00:31:47
Wed Oct 30 21:53:41 2024  
Wed Oct 30 21:53:41 2024  
Wed Oct 30 21:53:41 2024  Msieve v. 1.54 (SVN unknown)
Wed Oct 30 21:53:41 2024  random seeds: 4ea35a92 e38882c1
Wed Oct 30 21:53:41 2024  MPI process 0 of 1
Wed Oct 30 21:53:41 2024  factoring 11284530186011140591499897257729801951747684554650366772121237212431549568013511426698789705186298268213039675833302950145453910270608058711285611794307646999725420841384916398008857648590027203 (194 digits)
Wed Oct 30 21:53:41 2024  searching for 15-digit factors
Wed Oct 30 21:53:41 2024  commencing number field sieve (194-digit input)
Wed Oct 30 21:53:41 2024  R0: 100000000000000000000000000000000000
Wed Oct 30 21:53:41 2024  R1: -1
Wed Oct 30 21:53:41 2024  A0: -1
Wed Oct 30 21:53:41 2024  A1: 0
Wed Oct 30 21:53:41 2024  A2: 0
Wed Oct 30 21:53:41 2024  A3: 0
Wed Oct 30 21:53:41 2024  A4: 0
Wed Oct 30 21:53:41 2024  A5: 0
Wed Oct 30 21:53:41 2024  A6: 70
Wed Oct 30 21:53:41 2024  skew 1.00, size 1.966e-10, alpha 0.336, combined = 5.319e-12 rroots = 2
Wed Oct 30 21:53:41 2024  
Wed Oct 30 21:53:41 2024  commencing square root phase
Wed Oct 30 21:53:41 2024  handling dependencies 1 to 64
Wed Oct 30 21:53:41 2024  reading relations for dependency 1
Wed Oct 30 21:53:41 2024  read 1098639 cycles
Wed Oct 30 21:53:42 2024  cycles contain 3745084 unique relations
Wed Oct 30 21:53:49 2024  read 3745084 relations
Wed Oct 30 21:53:55 2024  multiplying 3745084 relations
Wed Oct 30 21:54:39 2024  multiply complete, coefficients have about 109.35 million bits
Wed Oct 30 21:54:39 2024  initial square root is modulo 70660939
Wed Oct 30 21:55:28 2024  sqrtTime: 107
Wed Oct 30 21:55:28 2024  p84 factor: 111325212668611460094745751244094538535682670397794219975808060238553776581961709099
Wed Oct 30 21:55:28 2024  p111 factor: 101365449169205620909283284271993234885233891743481547629660805156678931981135213370360966679929971855323895497
Wed Oct 30 21:55:28 2024  elapsed time 00:01:47

NFS@Home, msieve_nfsathome

ubuntu, i9-14900k

11748435154351360071381520407864825245467222071498067003317570710930595371090790836152605663475719008998123212033736850300667620304396058622850716463643517673944345935441907329649579731869146567<194>

1368604237247960929952465823572871713270789411095627<52>
167824258926137044731031934784723477303756138476329120244323<60>
51150208196993011010034950214786489095897042682144514537808922629246240374315107527<83>

 ../../msieve_nfsathome/msieve -i c194.n -s nfs.dat -l msieve.log -nf 23333_212.fb -t 32 -nc1 "target_density=120" -v


Msieve v. 1.54 (SVN unknown)
Mon Oct 28 07:05:10 2024
random seeds: cd3a0dd6 f2c1fade
MPI process 0 of 1
factoring 11748435154351360071381520407864825245467222071498067003317570710930595371090790836152605663475719008998123212033736850300667620304396058622850716463643517673944345935441907329649579731869146567 (194 digits)
searching for 15-digit factors
commencing number field sieve (194-digit input)
R0: 1000000000000000000000000000000000000000000
R1: -1
A0: -1
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 1.00, size 1.217e-14, alpha -0.153, combined = 4.906e-12 rroots = 1

commencing relation filtering
setting target matrix density to 120.0
estimated available RAM is 64038.1 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
read 40M relations
read 50M relations
read 60M relations
found 3634533 hash collisions in 64984516 relations
commencing duplicate removal, pass 2
found 0 duplicates and 64984516 unique relations
memory use: 197.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 2274.5 MB
keeping 67140303 ideals with weight <= 200, target excess is 389615
commencing in-memory singleton removal
begin with 64984516 relations and 67140303 unique ideals
reduce to 27767140 relations and 24591675 ideals in 20 passes
max relations containing the same ideal: 116
removing 2989927 relations and 2589927 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 24777213 relations and 24591675 unique ideals
reduce to 24512832 relations and 21732347 ideals in 9 passes
max relations containing the same ideal: 107
removing 2257325 relations and 1857325 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 22255507 relations and 21732347 unique ideals
reduce to 22086668 relations and 19703408 ideals in 7 passes
max relations containing the same ideal: 98
removing 2031141 relations and 1631141 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 20055527 relations and 19703408 unique ideals
reduce to 19905166 relations and 17919227 ideals in 8 passes
max relations containing the same ideal: 93
removing 1918729 relations and 1518729 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 17986437 relations and 17919227 unique ideals
reduce to 17838587 relations and 16249945 ideals in 9 passes
max relations containing the same ideal: 85
removing 1855708 relations and 1455708 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 15982879 relations and 16249945 unique ideals
reduce to 15828707 relations and 14637025 ideals in 9 passes
max relations containing the same ideal: 78
removing 1820328 relations and 1420328 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 14008379 relations and 14637025 unique ideals
reduce to 13839211 relations and 13043832 ideals in 9 passes
max relations containing the same ideal: 73
removing 1602424 relations and 1258999 ideals in 343425 cliques
commencing in-memory singleton removal
begin with 12236787 relations and 13043832 unique ideals
reduce to 12088913 relations and 11633789 ideals in 8 passes
max relations containing the same ideal: 67
relations with 0 large ideals: 7269
relations with 1 large ideals: 14209
relations with 2 large ideals: 142655
relations with 3 large ideals: 713437
relations with 4 large ideals: 1992495
relations with 5 large ideals: 3248022
relations with 6 large ideals: 3269905
relations with 7+ large ideals: 2700921
commencing 2-way merge
reduce to 7105154 relation sets and 6650031 unique ideals
ignored 1 oversize relation sets
commencing full merge
memory use: 782.4 MB
found 3027155 cycles, need 3014231
weight of 3014231 cycles is about 361856905 (120.05/cycle)
distribution of cycle lengths:
1 relations: 205205
2 relations: 191328
3 relations: 199144
4 relations: 199199
5 relations: 201507
6 relations: 196093
7 relations: 192356
8 relations: 181651
9 relations: 173569
10+ relations: 1274179
heaviest cycle: 28 relations
commencing cycle optimization
start with 27733292 relations
pruned 1102151 relations
memory use: 768.6 MB
distribution of cycle lengths:
1 relations: 205205
2 relations: 195837
3 relations: 206734
4 relations: 206425
5 relations: 210169
6 relations: 203919
7 relations: 200118
8 relations: 188989
9 relations: 180472
10+ relations: 1216363
heaviest cycle: 28 relations
RelProcTime: 465
elapsed time 00:07:45

../../msieve_nfsathome/msieve -i c194.n -s nfs.dat -l msieve.log -nf 23333_212.fb -t 32 -nc2 "target_density=120" -v


Msieve v. 1.54 (SVN unknown)
Mon Oct 28 07:13:18 2024
random seeds: 084dfe84 c1157a74
MPI process 0 of 1
factoring 11748435154351360071381520407864825245467222071498067003317570710930595371090790836152605663475719008998123212033736850300667620304396058622850716463643517673944345935441907329649579731869146567 (194 digits)
searching for 15-digit factors
commencing number field sieve (194-digit input)
R0: 1000000000000000000000000000000000000000000
R1: -1
A0: -1
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 1.00, size 1.217e-14, alpha -0.153, combined = 4.906e-12 rroots = 1

commencing linear algebra
initialized process (0,0) of 1 x 1 grid
read 3014231 cycles
cycles contain 11721030 unique relations
read 11721030 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1433.9 MB
read 3014231 cycles
matrix is 3014054 x 3014231 (1412.3 MB) with weight 408036329 (135.37/col)
sparse part has weight 337063501 (111.82/col)
filtering completed in 2 passes
matrix is 3013813 x 3013984 (1412.3 MB) with weight 408026420 (135.38/col)
sparse part has weight 337059641 (111.83/col)
matrix starts at (0, 0)
matrix is 3013813 x 3013984 (1412.3 MB) with weight 408026420 (135.38/col)
sparse part has weight 337059641 (111.83/col)
saving the first 240 matrix rows for later
matrix includes 256 packed rows
matrix is 3013573 x 3013984 (1266.8 MB) with weight 303607914 (100.73/col)
sparse part has weight 283855193 (94.18/col)
using block size 8192 and superblock size 884736 for processor cache size 36864 kB
commencing Lanczos iteration (32 threads)
memory use: 1829.5 MB
linear algebra at 0.1%, ETA 0h32m3013984 dimensions (0.1%, ETA 0h32m)    
checkpointing every 3680000 dimensions84 dimensions (0.1%, ETA 0h49m)    
linear algebra completed 3013422 of 3013984 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 11809 iterations (dim = 3013571)
recovered 40 nontrivial dependencies
BLanczosTime: 3476
elapsed time 00:57:56


mpirun -n 4 ../../msieve_nfsathome/msieve -i c194.n -s nfs.dat -l msieve.log -nf 23333_212.fb -t 32 -nc3 "target_density=120" -v


Msieve v. 1.54 (SVN unknown)
Mon Oct 28 17:42:29 2024
random seeds: 8982dfc0 4f1d754e


Msieve v. 1.54 (SVN unknown)
Mon Oct 28 17:42:29 2024
random seeds: 63b4fd60 c3f5f09c
MPI process 2 of 4


Msieve v. 1.54 (SVN unknown)
Mon Oct 28 17:42:29 2024
random seeds: 77424f7c 0ebee45e
MPI process 3 of 4
factoring 11748435154351360071381520407864825245467222071498067003317570710930595371090790836152605663475719008998123212033736850300667620304396058622850716463643517673944345935441907329649579731869146567 (194 digits)
MPI process 0 of 4
factoring 11748435154351360071381520407864825245467222071498067003317570710930595371090790836152605663475719008998123212033736850300667620304396058622850716463643517673944345935441907329649579731869146567 (194 digits)


factoring 11748435154351360071381520407864825245467222071498067003317570710930595371090790836152605663475719008998123212033736850300667620304396058622850716463643517673944345935441907329649579731869146567 (194 digits)
Msieve v. 1.54 (SVN unknown)
Mon Oct 28 17:42:29 2024
random seeds: 00630abb bdc5f0c5
MPI process 1 of 4
factoring 11748435154351360071381520407864825245467222071498067003317570710930595371090790836152605663475719008998123212033736850300667620304396058622850716463643517673944345935441907329649579731869146567 (194 digits)
searching for 15-digit factors
searching for 15-digit factors
searching for 15-digit factors
searching for 15-digit factors
commencing number field sieve (194-digit input)
commencing number field sieve (194-digit input)
R0: 1000000000000000000000000000000000000000000
R1: -1
A0: -1
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 1.00, size 1.217e-14, alpha -0.153, combined = 4.906e-12 rroots = 1

commencing square root phase
R0: 1000000000000000000000000000000000000000000
R1: -1
A0: -1
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 1.00, size 1.217e-14, alpha -0.153, combined = 4.906e-12 rroots = 1

commencing square root phase
handling dependencies 1 to 64
reading relations for dependency 1
handling dependencies 1 to 64
reading relations for dependency 1
commencing number field sieve (194-digit input)
commencing number field sieve (194-digit input)
R0: 1000000000000000000000000000000000000000000
R1: -1
A0: -1
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 1.00, size 1.217e-14, alpha -0.153, combined = 4.906e-12 rroots = 1

commencing square root phase
R0: 1000000000000000000000000000000000000000000
R1: -1
A0: -1
A1: 0
A2: 0
A3: 0
A4: 0
A5: 700
skew 1.00, size 1.217e-14, alpha -0.153, combined = 4.906e-12 rroots = 1

commencing square root phase
handling dependencies 1 to 64
reading relations for dependency 1
handling dependencies 1 to 64
reading relations for dependency 1
read 1506528 cycles
read 1506528 cycles
read 1506528 cycles
read 1506528 cycles
cycles contain 5862296 unique relations
cycles contain 5862296 unique relations
cycles contain 5862296 unique relations
cycles contain 5862296 unique relations
read 5862296 relations
read 5862296 relations
read 5862296 relations
read 5862296 relations
multiplying 5862296 relations
multiplying 5862296 relations
multiplying 5862296 relations
multiplying 5862296 relations
multiply complete, coefficients have about 188.76 million bits
initial square root is modulo 5944021
multiply complete, coefficients have about 188.76 million bits
multiply complete, coefficients have about 188.76 million bits
initial square root is modulo 5944021
multiply complete, coefficients have about 188.76 million bits
initial square root is modulo 5944021
initial square root is modulo 5944021
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 2
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 2
read 1507062 cycles
read 1507062 cycles
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 2
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 2
read 1507062 cycles
read 1507062 cycles
cycles contain 5857516 unique relations
cycles contain 5857516 unique relations
cycles contain 5857516 unique relations
cycles contain 5857516 unique relations
read 5857516 relations
read 5857516 relations
read 5857516 relations
read 5857516 relations
multiplying 5857516 relations
multiplying 5857516 relations
multiplying 5857516 relations
multiplying 5857516 relations
multiply complete, coefficients have about 188.60 million bits
initial square root is modulo 5868361
multiply complete, coefficients have about 188.60 million bits
multiply complete, coefficients have about 188.60 million bits
multiply complete, coefficients have about 188.60 million bits
initial square root is modulo 5868361
initial square root is modulo 5868361
initial square root is modulo 5868361
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 3
read 1506800 cycles
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 3
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 3
read 1506800 cycles
read 1506800 cycles
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 3
read 1506800 cycles
cycles contain 5861216 unique relations
cycles contain 5861216 unique relations
cycles contain 5861216 unique relations
cycles contain 5861216 unique relations
read 5861216 relations
read 5861216 relations
read 5861216 relations
read 5861216 relations
multiplying 5861216 relations
multiplying 5861216 relations
multiplying 5861216 relations
multiplying 5861216 relations
multiply complete, coefficients have about 188.72 million bits
multiply complete, coefficients have about 188.72 million bits
initial square root is modulo 5925971
initial square root is modulo 5925971
multiply complete, coefficients have about 188.72 million bits
initial square root is modulo 5925971
multiply complete, coefficients have about 188.72 million bits
initial square root is modulo 5925971
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 4
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 4
read 1507230 cycles
read 1507230 cycles
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 4
found factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
reading relations for dependency 4
read 1507230 cycles
read 1507230 cycles
cycles contain 5864134 unique relations
cycles contain 5864134 unique relations
cycles contain 5864134 unique relations
cycles contain 5864134 unique relations
read 5864134 relations
read 5864134 relations
read 5864134 relations
read 5864134 relations
multiplying 5864134 relations
multiplying 5864134 relations
multiplying 5864134 relations
multiplying 5864134 relations
multiply complete, coefficients have about 188.82 million bits
initial square root is modulo 5972851
multiply complete, coefficients have about 188.82 million bits
multiply complete, coefficients have about 188.82 million bits
initial square root is modulo 5972851
initial square root is modulo 5972851
multiply complete, coefficients have about 188.82 million bits
initial square root is modulo 5972851
sqrtTime: 625
p52 factor: 1368604237247960929952465823572871713270789411095627
p60 factor: 167824258926137044731031934784723477303756138476329120244323
p83 factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
elapsed time 00:10:25
sqrtTime: 626
p52 factor: 1368604237247960929952465823572871713270789411095627
p60 factor: 167824258926137044731031934784723477303756138476329120244323
p83 factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
elapsed time 00:10:26
sqrtTime: 626
p52 factor: 1368604237247960929952465823572871713270789411095627
p60 factor: 167824258926137044731031934784723477303756138476329120244323
p83 factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
elapsed time 00:10:26
sqrtTime: 627
p52 factor: 1368604237247960929952465823572871713270789411095627
p60 factor: 167824258926137044731031934784723477303756138476329120244323
p83 factor: 51150208196993011010034950214786489095897042682144514537808922629246240374315107527
elapsed time 00:10:27

cado-nfs, msieve_nfsathome

ubuntu 24.0.4, i9-14900k

2864965043953570319548448462044366870999701120708095827100295954274454216068773280715674816981401616634913848239353586893786553984659789869632756887386655593610632709633195788979342967437713<190>

5212256525298342382853350113909305835268756169<46>
549659256033946576976251409395214495102018681608300353290341394542369561618463453162806787553288287203450884622113506531726098359694447132298377<144>

Sat Nov 16 21:44:00 2024  
Sat Nov 16 21:44:00 2024  
Sat Nov 16 21:44:00 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Nov 16 21:44:00 2024  random seeds: e766da35 ed94d851
Sat Nov 16 21:44:00 2024  factoring 2864965043953570319548448462044366870999701120708095827100295954274454216068773280715674816981401616634913848239353586893786553984659789869632756887386655593610632709633195788979342967437713 (190 digits)
Sat Nov 16 21:44:00 2024  searching for 15-digit factors
Sat Nov 16 21:44:01 2024  commencing number field sieve (190-digit input)
Sat Nov 16 21:44:01 2024  R0: 1000000000000000000000000000000000000
Sat Nov 16 21:44:01 2024  R1: -1
Sat Nov 16 21:44:01 2024  A0: -1
Sat Nov 16 21:44:01 2024  A1: 0
Sat Nov 16 21:44:01 2024  A2: 0
Sat Nov 16 21:44:01 2024  A3: 0
Sat Nov 16 21:44:01 2024  A4: 0
Sat Nov 16 21:44:01 2024  A5: 0
Sat Nov 16 21:44:01 2024  A6: 7
Sat Nov 16 21:44:01 2024  skew 1.00, size 1.018e-10, alpha 1.681, combined = 3.385e-12 rroots = 2
Sat Nov 16 21:44:01 2024  
Sat Nov 16 21:44:01 2024  commencing relation filtering
Sat Nov 16 21:44:01 2024  setting target matrix density to 150.0
Sat Nov 16 21:44:01 2024  estimated available RAM is 64046.8 MB
Sat Nov 16 21:44:01 2024  commencing duplicate removal, pass 1
Sat Nov 16 21:46:42 2024  error -15 reading relation 45903246
Sat Nov 16 21:46:42 2024  error -9 reading relation 45974134
Sat Nov 16 21:46:43 2024  error -15 reading relation 46110086
Sat Nov 16 21:46:44 2024  error -15 reading relation 46394749
Sat Nov 16 21:49:18 2024  error -9 reading relation 91906129
Sat Nov 16 21:49:31 2024  error -9 reading relation 96017706
Sat Nov 16 21:49:33 2024  skipped 5 relations with b > 2^32
Sat Nov 16 21:49:33 2024  skipped 13 relations with composite factors
Sat Nov 16 21:49:33 2024  found 4117768 hash collisions in 96843653 relations
Sat Nov 16 21:49:41 2024  added 1219123 free relations
Sat Nov 16 21:49:41 2024  commencing duplicate removal, pass 2
Sat Nov 16 21:49:58 2024  found 0 duplicates and 98062776 unique relations
Sat Nov 16 21:49:58 2024  memory use: 261.2 MB
Sat Nov 16 21:49:58 2024  reading ideals above 720000
Sat Nov 16 21:49:58 2024  commencing singleton removal, initial pass
Sat Nov 16 21:55:23 2024  memory use: 2756.0 MB
Sat Nov 16 21:55:23 2024  reading all ideals from disk
Sat Nov 16 21:55:24 2024  memory use: 3548.9 MB
Sat Nov 16 21:55:28 2024  keeping 82010867 ideals with weight <= 200, target excess is 535935
Sat Nov 16 21:55:34 2024  commencing in-memory singleton removal
Sat Nov 16 21:55:38 2024  begin with 98062776 relations and 82010867 unique ideals
Sat Nov 16 21:56:06 2024  reduce to 64994722 relations and 46087937 ideals in 11 passes
Sat Nov 16 21:56:06 2024  max relations containing the same ideal: 159
Sat Nov 16 21:56:22 2024  removing 7101312 relations and 5101312 ideals in 2000000 cliques
Sat Nov 16 21:56:23 2024  commencing in-memory singleton removal
Sat Nov 16 21:56:26 2024  begin with 57893410 relations and 46087937 unique ideals
Sat Nov 16 21:56:40 2024  reduce to 57246595 relations and 40314533 ideals in 7 passes
Sat Nov 16 21:56:40 2024  max relations containing the same ideal: 149
Sat Nov 16 21:56:54 2024  removing 5886406 relations and 3886406 ideals in 2000000 cliques
Sat Nov 16 21:56:55 2024  commencing in-memory singleton removal
Sat Nov 16 21:56:57 2024  begin with 51360189 relations and 40314533 unique ideals
Sat Nov 16 21:57:10 2024  reduce to 50925820 relations and 35978357 ideals in 7 passes
Sat Nov 16 21:57:10 2024  max relations containing the same ideal: 138
Sat Nov 16 21:57:22 2024  removing 5537000 relations and 3537000 ideals in 2000000 cliques
Sat Nov 16 21:57:23 2024  commencing in-memory singleton removal
Sat Nov 16 21:57:25 2024  begin with 45388820 relations and 35978357 unique ideals
Sat Nov 16 21:57:36 2024  reduce to 45006566 relations and 32045127 ideals in 7 passes
Sat Nov 16 21:57:36 2024  max relations containing the same ideal: 124
Sat Nov 16 21:57:47 2024  removing 5347884 relations and 3347884 ideals in 2000000 cliques
Sat Nov 16 21:57:48 2024  commencing in-memory singleton removal
Sat Nov 16 21:57:50 2024  begin with 39658682 relations and 32045127 unique ideals
Sat Nov 16 21:57:58 2024  reduce to 39291872 relations and 28315731 ideals in 6 passes
Sat Nov 16 21:57:58 2024  max relations containing the same ideal: 111
Sat Nov 16 21:58:07 2024  removing 5228003 relations and 3228003 ideals in 2000000 cliques
Sat Nov 16 21:58:09 2024  commencing in-memory singleton removal
Sat Nov 16 21:58:10 2024  begin with 34063869 relations and 28315731 unique ideals
Sat Nov 16 21:58:17 2024  reduce to 33692631 relations and 24700163 ideals in 6 passes
Sat Nov 16 21:58:17 2024  max relations containing the same ideal: 102
Sat Nov 16 21:58:25 2024  removing 5141820 relations and 3141820 ideals in 2000000 cliques
Sat Nov 16 21:58:26 2024  commencing in-memory singleton removal
Sat Nov 16 21:58:27 2024  begin with 28550811 relations and 24700163 unique ideals
Sat Nov 16 21:58:35 2024  reduce to 28159032 relations and 21147246 ideals in 8 passes
Sat Nov 16 21:58:35 2024  max relations containing the same ideal: 89
Sat Nov 16 21:58:42 2024  removing 5070840 relations and 3070840 ideals in 2000000 cliques
Sat Nov 16 21:58:43 2024  commencing in-memory singleton removal
Sat Nov 16 21:58:44 2024  begin with 23088192 relations and 21147246 unique ideals
Sat Nov 16 21:58:49 2024  reduce to 22664568 relations and 17628272 ideals in 7 passes
Sat Nov 16 21:58:49 2024  max relations containing the same ideal: 78
Sat Nov 16 21:58:54 2024  removing 4994752 relations and 2994752 ideals in 2000000 cliques
Sat Nov 16 21:58:56 2024  commencing in-memory singleton removal
Sat Nov 16 21:58:56 2024  begin with 17669816 relations and 17628272 unique ideals
Sat Nov 16 21:59:00 2024  reduce to 17196458 relations and 14126780 ideals in 7 passes
Sat Nov 16 21:59:00 2024  max relations containing the same ideal: 67
Sat Nov 16 21:59:04 2024  removing 4901422 relations and 2901422 ideals in 2000000 cliques
Sat Nov 16 21:59:05 2024  commencing in-memory singleton removal
Sat Nov 16 21:59:06 2024  begin with 12295036 relations and 14126780 unique ideals
Sat Nov 16 21:59:08 2024  reduce to 11726451 relations and 10606049 ideals in 7 passes
Sat Nov 16 21:59:08 2024  max relations containing the same ideal: 53
Sat Nov 16 21:59:11 2024  removing 1462716 relations and 963999 ideals in 498717 cliques
Sat Nov 16 21:59:12 2024  commencing in-memory singleton removal
Sat Nov 16 21:59:12 2024  begin with 10263735 relations and 10606049 unique ideals
Sat Nov 16 21:59:14 2024  reduce to 10093985 relations and 9464795 ideals in 7 passes
Sat Nov 16 21:59:14 2024  max relations containing the same ideal: 47
Sat Nov 16 21:59:18 2024  relations with 0 large ideals: 18544
Sat Nov 16 21:59:18 2024  relations with 1 large ideals: 23075
Sat Nov 16 21:59:18 2024  relations with 2 large ideals: 214145
Sat Nov 16 21:59:18 2024  relations with 3 large ideals: 957997
Sat Nov 16 21:59:18 2024  relations with 4 large ideals: 2178409
Sat Nov 16 21:59:18 2024  relations with 5 large ideals: 2824756
Sat Nov 16 21:59:18 2024  relations with 6 large ideals: 2225721
Sat Nov 16 21:59:18 2024  relations with 7+ large ideals: 1651338
Sat Nov 16 21:59:18 2024  commencing 2-way merge
Sat Nov 16 21:59:21 2024  reduce to 7123386 relation sets and 6494196 unique ideals
Sat Nov 16 21:59:21 2024  commencing full merge
Sat Nov 16 22:01:50 2024  memory use: 307.3 MB
Sat Nov 16 22:01:50 2024  found 28154 cycles, need 1717635
Sat Nov 16 22:01:50 2024  too few cycles, matrix probably cannot build
Sat Nov 16 22:01:50 2024  filtering wants 1000000 more relations
Sat Nov 16 22:01:50 2024  elapsed time 00:17:50
Sat Nov 16 22:02:08 2024  
Sat Nov 16 22:02:08 2024  
Sat Nov 16 22:02:08 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Nov 16 22:02:08 2024  random seeds: 25906cba 9e9cae40
Sat Nov 16 22:02:08 2024  factoring 2864965043953570319548448462044366870999701120708095827100295954274454216068773280715674816981401616634913848239353586893786553984659789869632756887386655593610632709633195788979342967437713 (190 digits)
Sat Nov 16 22:02:08 2024  searching for 15-digit factors
Sat Nov 16 22:02:09 2024  commencing number field sieve (190-digit input)
Sat Nov 16 22:02:09 2024  R0: 1000000000000000000000000000000000000
Sat Nov 16 22:02:09 2024  R1: -1
Sat Nov 16 22:02:09 2024  A0: -1
Sat Nov 16 22:02:09 2024  A1: 0
Sat Nov 16 22:02:09 2024  A2: 0
Sat Nov 16 22:02:09 2024  A3: 0
Sat Nov 16 22:02:09 2024  A4: 0
Sat Nov 16 22:02:09 2024  A5: 0
Sat Nov 16 22:02:09 2024  A6: 7
Sat Nov 16 22:02:09 2024  skew 1.00, size 1.018e-10, alpha 1.681, combined = 3.385e-12 rroots = 2
Sat Nov 16 22:02:09 2024  
Sat Nov 16 22:02:09 2024  commencing relation filtering
Sat Nov 16 22:02:09 2024  setting target matrix density to 140.0
Sat Nov 16 22:02:09 2024  estimated available RAM is 64046.8 MB
Sat Nov 16 22:02:09 2024  commencing duplicate removal, pass 1
Sat Nov 16 22:04:50 2024  error -15 reading relation 45903246
Sat Nov 16 22:04:50 2024  error -9 reading relation 45974134
Sat Nov 16 22:04:51 2024  error -15 reading relation 46110086
Sat Nov 16 22:04:52 2024  error -15 reading relation 46394749
Sat Nov 16 22:07:26 2024  error -9 reading relation 91906129
Sat Nov 16 22:07:39 2024  error -9 reading relation 96017706
Sat Nov 16 22:07:51 2024  skipped 5 relations with b > 2^32
Sat Nov 16 22:07:51 2024  skipped 13 relations with composite factors
Sat Nov 16 22:07:51 2024  found 4218400 hash collisions in 98062776 relations
Sat Nov 16 22:07:57 2024  commencing duplicate removal, pass 2
Sat Nov 16 22:08:13 2024  found 0 duplicates and 98062776 unique relations
Sat Nov 16 22:08:13 2024  memory use: 261.2 MB
Sat Nov 16 22:08:13 2024  reading ideals above 720000
Sat Nov 16 22:08:13 2024  commencing singleton removal, initial pass
Sat Nov 16 22:13:37 2024  memory use: 2756.0 MB
Sat Nov 16 22:13:39 2024  reading all ideals from disk
Sat Nov 16 22:13:40 2024  memory use: 3548.9 MB
Sat Nov 16 22:13:44 2024  keeping 82010867 ideals with weight <= 200, target excess is 535935
Sat Nov 16 22:13:50 2024  commencing in-memory singleton removal
Sat Nov 16 22:13:53 2024  begin with 98062776 relations and 82010867 unique ideals
Sat Nov 16 22:14:22 2024  reduce to 64994722 relations and 46087937 ideals in 11 passes
Sat Nov 16 22:14:22 2024  max relations containing the same ideal: 159
Sat Nov 16 22:14:37 2024  removing 7101312 relations and 5101312 ideals in 2000000 cliques
Sat Nov 16 22:14:39 2024  commencing in-memory singleton removal
Sat Nov 16 22:14:41 2024  begin with 57893410 relations and 46087937 unique ideals
Sat Nov 16 22:14:56 2024  reduce to 57246595 relations and 40314533 ideals in 7 passes
Sat Nov 16 22:14:56 2024  max relations containing the same ideal: 149
Sat Nov 16 22:15:09 2024  removing 5886406 relations and 3886406 ideals in 2000000 cliques
Sat Nov 16 22:15:11 2024  commencing in-memory singleton removal
Sat Nov 16 22:15:13 2024  begin with 51360189 relations and 40314533 unique ideals
Sat Nov 16 22:15:25 2024  reduce to 50925820 relations and 35978357 ideals in 7 passes
Sat Nov 16 22:15:25 2024  max relations containing the same ideal: 138
Sat Nov 16 22:15:38 2024  removing 5537000 relations and 3537000 ideals in 2000000 cliques
Sat Nov 16 22:15:39 2024  commencing in-memory singleton removal
Sat Nov 16 22:15:41 2024  begin with 45388820 relations and 35978357 unique ideals
Sat Nov 16 22:15:52 2024  reduce to 45006566 relations and 32045127 ideals in 7 passes
Sat Nov 16 22:15:52 2024  max relations containing the same ideal: 124
Sat Nov 16 22:16:03 2024  removing 5347884 relations and 3347884 ideals in 2000000 cliques
Sat Nov 16 22:16:04 2024  commencing in-memory singleton removal
Sat Nov 16 22:16:05 2024  begin with 39658682 relations and 32045127 unique ideals
Sat Nov 16 22:16:14 2024  reduce to 39291872 relations and 28315731 ideals in 6 passes
Sat Nov 16 22:16:14 2024  max relations containing the same ideal: 111
Sat Nov 16 22:16:23 2024  removing 5228003 relations and 3228003 ideals in 2000000 cliques
Sat Nov 16 22:16:24 2024  commencing in-memory singleton removal
Sat Nov 16 22:16:26 2024  begin with 34063869 relations and 28315731 unique ideals
Sat Nov 16 22:16:32 2024  reduce to 33692631 relations and 24700163 ideals in 6 passes
Sat Nov 16 22:16:32 2024  max relations containing the same ideal: 102
Sat Nov 16 22:16:41 2024  removing 5141820 relations and 3141820 ideals in 2000000 cliques
Sat Nov 16 22:16:42 2024  commencing in-memory singleton removal
Sat Nov 16 22:16:43 2024  begin with 28550811 relations and 24700163 unique ideals
Sat Nov 16 22:16:51 2024  reduce to 28159032 relations and 21147246 ideals in 8 passes
Sat Nov 16 22:16:51 2024  max relations containing the same ideal: 89
Sat Nov 16 22:16:57 2024  removing 5070840 relations and 3070840 ideals in 2000000 cliques
Sat Nov 16 22:16:59 2024  commencing in-memory singleton removal
Sat Nov 16 22:16:59 2024  begin with 23088192 relations and 21147246 unique ideals
Sat Nov 16 22:17:05 2024  reduce to 22664568 relations and 17628272 ideals in 7 passes
Sat Nov 16 22:17:05 2024  max relations containing the same ideal: 78
Sat Nov 16 22:17:10 2024  removing 4994752 relations and 2994752 ideals in 2000000 cliques
Sat Nov 16 22:17:11 2024  commencing in-memory singleton removal
Sat Nov 16 22:17:12 2024  begin with 17669816 relations and 17628272 unique ideals
Sat Nov 16 22:17:16 2024  reduce to 17196458 relations and 14126780 ideals in 7 passes
Sat Nov 16 22:17:16 2024  max relations containing the same ideal: 67
Sat Nov 16 22:17:20 2024  removing 4901422 relations and 2901422 ideals in 2000000 cliques
Sat Nov 16 22:17:21 2024  commencing in-memory singleton removal
Sat Nov 16 22:17:22 2024  begin with 12295036 relations and 14126780 unique ideals
Sat Nov 16 22:17:24 2024  reduce to 11726451 relations and 10606049 ideals in 7 passes
Sat Nov 16 22:17:24 2024  max relations containing the same ideal: 53
Sat Nov 16 22:17:27 2024  removing 1462716 relations and 963999 ideals in 498717 cliques
Sat Nov 16 22:17:28 2024  commencing in-memory singleton removal
Sat Nov 16 22:17:28 2024  begin with 10263735 relations and 10606049 unique ideals
Sat Nov 16 22:17:30 2024  reduce to 10093985 relations and 9464795 ideals in 7 passes
Sat Nov 16 22:17:30 2024  max relations containing the same ideal: 47
Sat Nov 16 22:17:34 2024  relations with 0 large ideals: 18544
Sat Nov 16 22:17:34 2024  relations with 1 large ideals: 23075
Sat Nov 16 22:17:34 2024  relations with 2 large ideals: 214145
Sat Nov 16 22:17:34 2024  relations with 3 large ideals: 957997
Sat Nov 16 22:17:34 2024  relations with 4 large ideals: 2178409
Sat Nov 16 22:17:34 2024  relations with 5 large ideals: 2824756
Sat Nov 16 22:17:34 2024  relations with 6 large ideals: 2225721
Sat Nov 16 22:17:34 2024  relations with 7+ large ideals: 1651338
Sat Nov 16 22:17:34 2024  commencing 2-way merge
Sat Nov 16 22:17:37 2024  reduce to 7123386 relation sets and 6494196 unique ideals
Sat Nov 16 22:17:37 2024  commencing full merge
Sat Nov 16 22:19:09 2024  memory use: 826.0 MB
Sat Nov 16 22:19:09 2024  found 3004805 cycles, need 2994396
Sat Nov 16 22:19:10 2024  weight of 2994396 cycles is about 419367180 (140.05/cycle)
Sat Nov 16 22:19:10 2024  distribution of cycle lengths:
Sat Nov 16 22:19:10 2024  1 relations: 43062
Sat Nov 16 22:19:10 2024  2 relations: 94772
Sat Nov 16 22:19:10 2024  3 relations: 140893
Sat Nov 16 22:19:10 2024  4 relations: 167253
Sat Nov 16 22:19:10 2024  5 relations: 190825
Sat Nov 16 22:19:10 2024  6 relations: 202553
Sat Nov 16 22:19:10 2024  7 relations: 209414
Sat Nov 16 22:19:10 2024  8 relations: 207419
Sat Nov 16 22:19:10 2024  9 relations: 200891
Sat Nov 16 22:19:10 2024  10+ relations: 1537314
Sat Nov 16 22:19:10 2024  heaviest cycle: 28 relations
Sat Nov 16 22:19:11 2024  commencing cycle optimization
Sat Nov 16 22:19:15 2024  start with 31854295 relations
Sat Nov 16 22:20:04 2024  pruned 2112651 relations
Sat Nov 16 22:20:04 2024  memory use: 739.9 MB
Sat Nov 16 22:20:04 2024  distribution of cycle lengths:
Sat Nov 16 22:20:04 2024  1 relations: 43062
Sat Nov 16 22:20:04 2024  2 relations: 97842
Sat Nov 16 22:20:04 2024  3 relations: 148040
Sat Nov 16 22:20:04 2024  4 relations: 177317
Sat Nov 16 22:20:04 2024  5 relations: 204983
Sat Nov 16 22:20:04 2024  6 relations: 218754
Sat Nov 16 22:20:04 2024  7 relations: 227632
Sat Nov 16 22:20:04 2024  8 relations: 225497
Sat Nov 16 22:20:04 2024  9 relations: 218360
Sat Nov 16 22:20:04 2024  10+ relations: 1432909
Sat Nov 16 22:20:04 2024  heaviest cycle: 28 relations
Sat Nov 16 22:20:07 2024  RelProcTime: 1078
Sat Nov 16 22:20:07 2024  
Sat Nov 16 22:20:07 2024  commencing linear algebra
Sat Nov 16 22:20:07 2024  read 2994396 cycles
Sat Nov 16 22:20:10 2024  cycles contain 9798665 unique relations
Sat Nov 16 22:20:32 2024  read 9798665 relations
Sat Nov 16 22:20:47 2024  using 20 quadratic characters above 4294917295
Sat Nov 16 22:21:16 2024  building initial matrix
Sat Nov 16 22:22:41 2024  memory use: 1274.1 MB
Sat Nov 16 22:22:41 2024  read 2994396 cycles
Sat Nov 16 22:22:42 2024  matrix is 2994219 x 2994396 (1566.6 MB) with weight 449632401 (150.16/col)
Sat Nov 16 22:22:42 2024  sparse part has weight 377723390 (126.14/col)
Sat Nov 16 22:23:03 2024  filtering completed in 2 passes
Sat Nov 16 22:23:04 2024  matrix is 2994196 x 2994373 (1566.5 MB) with weight 449631096 (150.16/col)
Sat Nov 16 22:23:04 2024  sparse part has weight 377722679 (126.14/col)
Sat Nov 16 22:23:16 2024  matrix starts at (0, 0)
Sat Nov 16 22:23:17 2024  matrix is 2994196 x 2994373 (1566.5 MB) with weight 449631096 (150.16/col)
Sat Nov 16 22:23:17 2024  sparse part has weight 377722679 (126.14/col)
Sat Nov 16 22:23:17 2024  saving the first 48 matrix rows for later
Sat Nov 16 22:23:17 2024  matrix includes 64 packed rows
Sat Nov 16 22:23:17 2024  matrix is 2994148 x 2994373 (1499.8 MB) with weight 389642104 (130.12/col)
Sat Nov 16 22:23:17 2024  sparse part has weight 363209002 (121.30/col)
Sat Nov 16 22:23:17 2024  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sat Nov 16 22:23:24 2024  commencing Lanczos iteration (8 threads)
Sat Nov 16 22:23:24 2024  memory use: 1401.6 MB
Sat Nov 16 22:23:24 2024  VBITS = 64
Sat Nov 16 22:23:29 2024  linear algebra at 0.1%, ETA 2h44m
Sat Nov 16 22:23:31 2024  checkpointing every 1040000 dimensions
Sun Nov 17 01:01:54 2024  lanczos halted after 47352 iterations (dim = 2994147)
Sun Nov 17 01:01:56 2024  recovered 37 nontrivial dependencies
Sun Nov 17 01:01:56 2024  BLanczosTime: 9709
Sun Nov 17 01:01:56 2024  
Sun Nov 17 01:01:56 2024  commencing square root phase
Sun Nov 17 01:01:56 2024  handling dependencies 1 to 64
Sun Nov 17 01:01:56 2024  reading relations for dependency 1
Sun Nov 17 01:01:56 2024  read 1496234 cycles
Sun Nov 17 01:01:58 2024  cycles contain 4899156 unique relations
Sun Nov 17 01:02:12 2024  read 4899156 relations
Sun Nov 17 01:02:23 2024  multiplying 4899156 relations
Sun Nov 17 01:03:34 2024  multiply complete, coefficients have about 130.53 million bits
Sun Nov 17 01:03:34 2024  initial square root is modulo 2337540787
Sun Nov 17 01:04:56 2024  GCD is 1, no factor found
Sun Nov 17 01:04:56 2024  reading relations for dependency 2
Sun Nov 17 01:04:56 2024  read 1496802 cycles
Sun Nov 17 01:04:57 2024  cycles contain 4898612 unique relations
Sun Nov 17 01:05:11 2024  read 4898612 relations
Sun Nov 17 01:05:23 2024  multiplying 4898612 relations
Sun Nov 17 01:06:33 2024  multiply complete, coefficients have about 130.51 million bits
Sun Nov 17 01:06:33 2024  initial square root is modulo 2332463293
Sun Nov 17 01:07:55 2024  GCD is N, no factor found
Sun Nov 17 01:07:55 2024  reading relations for dependency 3
Sun Nov 17 01:07:55 2024  read 1496656 cycles
Sun Nov 17 01:07:57 2024  cycles contain 4899564 unique relations
Sun Nov 17 01:08:11 2024  read 4899564 relations
Sun Nov 17 01:08:22 2024  multiplying 4899564 relations
Sun Nov 17 01:09:33 2024  multiply complete, coefficients have about 130.54 million bits
Sun Nov 17 01:09:33 2024  initial square root is modulo 2343574357
Sun Nov 17 01:10:55 2024  sqrtTime: 539
Sun Nov 17 01:10:55 2024  p46 factor: 5212256525298342382853350113909305835268756169
Sun Nov 17 01:10:55 2024  p144 factor: 549659256033946576976251409395214495102018681608300353290341394542369561618463453162806787553288287203450884622113506531726098359694447132298377
Sun Nov 17 01:10:55 2024  elapsed time 03:08:47

NFS@Home, msieve

Ubuntu, i3-12100, 64GB DDR4

5820621532453070760772114094060462338121551224575202933267297550530291466542265017205632522327010317326067002454996804437202815175201830675275831562887354567509485180909615301735490651911357821203661127705010169<211>

415906506210432573968687229917495899<36>

13995023991060293342897998679661365410201989862886291264793262719689773237535584048958944601350295863219733709840637901252328039343453656646701149981223033254406626594087292731<176>

********** Factor found in step 2: 415906506210432573968687229917495899
Found probable prime factor of 36 digits: 415906506210432573968687229917495899
Composite cofactor 13995023991060293342897998679661365410201989862886291264793262719689773237535584048958944601350295863219733709840637901252328039343453656646701149981223033254406626594087292731 has 176 digits

13995023991060293342897998679661365410201989862886291264793262719689773237535584048958944601350295863219733709840637901252328039343453656646701149981223033254406626594087292731<176>

325242077320507924273466681187631118592617288435224062992070090332437294728523<78>
43029561569516658454542096038835939750112761741868619935622221479458448756203781736370836627462097<98>

Fri Nov 29 10:04:57 2024  
Fri Nov 29 10:04:57 2024  
Fri Nov 29 10:04:57 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Nov 29 10:04:57 2024  random seeds: f4a81f87 ca1ddbf2
Fri Nov 29 10:04:57 2024  MPI process 0 of 1
Fri Nov 29 10:04:57 2024  factoring 13995023991060293342897998679661365410201989862886291264793262719689773237535584048958944601350295863219733709840637901252328039343453656646701149981223033254406626594087292731 (176 digits)
Fri Nov 29 10:04:58 2024  searching for 15-digit factors
Fri Nov 29 10:04:58 2024  commencing number field sieve (176-digit input)
Fri Nov 29 10:04:58 2024  R0: 1000000000000000000000000000000000000
Fri Nov 29 10:04:58 2024  R1: -1
Fri Nov 29 10:04:58 2024  A0: -1
Fri Nov 29 10:04:58 2024  A1: 0
Fri Nov 29 10:04:58 2024  A2: 0
Fri Nov 29 10:04:58 2024  A3: 0
Fri Nov 29 10:04:58 2024  A4: 0
Fri Nov 29 10:04:58 2024  A5: 0
Fri Nov 29 10:04:58 2024  A6: 700
Fri Nov 29 10:04:58 2024  skew 1.00, size 5.402e-11, alpha 1.212, combined = 2.089e-12 rroots = 2
Fri Nov 29 10:04:58 2024  
Fri Nov 29 10:04:58 2024  commencing relation filtering
Fri Nov 29 10:04:58 2024  setting target matrix density to 140.0
Fri Nov 29 10:04:58 2024  estimated available RAM is 64046.8 MB
Fri Nov 29 10:04:58 2024  commencing duplicate removal, pass 1
Fri Nov 29 10:06:49 2024  error -9 reading relation 30646944
Fri Nov 29 10:07:10 2024  error -9 reading relation 36310669
Fri Nov 29 10:07:10 2024  error -9 reading relation 36387614
Fri Nov 29 10:07:10 2024  error -9 reading relation 36455141
Fri Nov 29 10:07:10 2024  error -9 reading relation 36464749
Fri Nov 29 10:07:12 2024  error -15 reading relation 37054794
Fri Nov 29 10:07:22 2024  error -15 reading relation 40102417
Fri Nov 29 10:07:27 2024  error -9 reading relation 41771549
Fri Nov 29 10:07:27 2024  error -5 reading relation 41813745
Fri Nov 29 10:07:29 2024  error -9 reading relation 42302173
Fri Nov 29 10:07:31 2024  error -15 reading relation 42829588
Fri Nov 29 10:07:32 2024  skipped 5 relations with b > 2^32
Fri Nov 29 10:07:32 2024  skipped 9 relations with composite factors
Fri Nov 29 10:07:32 2024  found 1651801 hash collisions in 43233979 relations
Fri Nov 29 10:07:40 2024  added 1218474 free relations
Fri Nov 29 10:07:40 2024  commencing duplicate removal, pass 2
Fri Nov 29 10:07:48 2024  found 0 duplicates and 44452453 unique relations
Fri Nov 29 10:07:48 2024  memory use: 126.6 MB
Fri Nov 29 10:07:48 2024  reading ideals above 720000
Fri Nov 29 10:07:48 2024  commencing singleton removal, initial pass
Fri Nov 29 10:10:25 2024  memory use: 1378.0 MB
Fri Nov 29 10:10:25 2024  reading all ideals from disk
Fri Nov 29 10:10:25 2024  memory use: 1615.1 MB
Fri Nov 29 10:10:27 2024  keeping 45432688 ideals with weight <= 200, target excess is 235530
Fri Nov 29 10:10:29 2024  commencing in-memory singleton removal
Fri Nov 29 10:10:31 2024  begin with 44452453 relations and 45432688 unique ideals
Fri Nov 29 10:10:50 2024  reduce to 23989697 relations and 22327793 ideals in 18 passes
Fri Nov 29 10:10:50 2024  max relations containing the same ideal: 137
Fri Nov 29 10:10:57 2024  removing 2867082 relations and 2467082 ideals in 400000 cliques
Fri Nov 29 10:10:58 2024  commencing in-memory singleton removal
Fri Nov 29 10:10:59 2024  begin with 21122615 relations and 22327793 unique ideals
Fri Nov 29 10:11:07 2024  reduce to 20817824 relations and 19548780 ideals in 11 passes
Fri Nov 29 10:11:07 2024  max relations containing the same ideal: 125
Fri Nov 29 10:11:14 2024  removing 2147790 relations and 1747790 ideals in 400000 cliques
Fri Nov 29 10:11:14 2024  commencing in-memory singleton removal
Fri Nov 29 10:11:15 2024  begin with 18670034 relations and 19548780 unique ideals
Fri Nov 29 10:11:21 2024  reduce to 18494002 relations and 17621291 ideals in 9 passes
Fri Nov 29 10:11:21 2024  max relations containing the same ideal: 119
Fri Nov 29 10:11:27 2024  removing 1910701 relations and 1510701 ideals in 400000 cliques
Fri Nov 29 10:11:27 2024  commencing in-memory singleton removal
Fri Nov 29 10:11:28 2024  begin with 16583301 relations and 17621291 unique ideals
Fri Nov 29 10:11:33 2024  reduce to 16434379 relations and 15958634 ideals in 9 passes
Fri Nov 29 10:11:33 2024  max relations containing the same ideal: 108
Fri Nov 29 10:11:38 2024  removing 1030567 relations and 828037 ideals in 202530 cliques
Fri Nov 29 10:11:38 2024  commencing in-memory singleton removal
Fri Nov 29 10:11:39 2024  begin with 15403812 relations and 15958634 unique ideals
Fri Nov 29 10:11:43 2024  reduce to 15359391 relations and 15085721 ideals in 7 passes
Fri Nov 29 10:11:43 2024  max relations containing the same ideal: 107
Fri Nov 29 10:11:49 2024  relations with 0 large ideals: 8310
Fri Nov 29 10:11:49 2024  relations with 1 large ideals: 3067
Fri Nov 29 10:11:49 2024  relations with 2 large ideals: 25121
Fri Nov 29 10:11:49 2024  relations with 3 large ideals: 198711
Fri Nov 29 10:11:49 2024  relations with 4 large ideals: 887183
Fri Nov 29 10:11:49 2024  relations with 5 large ideals: 2348551
Fri Nov 29 10:11:49 2024  relations with 6 large ideals: 3855151
Fri Nov 29 10:11:49 2024  relations with 7+ large ideals: 8033297
Fri Nov 29 10:11:49 2024  commencing 2-way merge
Fri Nov 29 10:11:55 2024  reduce to 9977676 relation sets and 9704006 unique ideals
Fri Nov 29 10:11:55 2024  commencing full merge
Fri Nov 29 10:16:52 2024  memory use: 448.6 MB
Fri Nov 29 10:16:52 2024  found 18991 cycles, need 2094730
Fri Nov 29 10:16:52 2024  too few cycles, matrix probably cannot build
Fri Nov 29 10:16:52 2024  filtering wants 1000000 more relations
Fri Nov 29 10:16:52 2024  elapsed time 00:11:55
Fri Nov 29 10:17:04 2024  
Fri Nov 29 10:17:04 2024  
Fri Nov 29 10:17:04 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Nov 29 10:17:04 2024  random seeds: 4e13f3b5 4418a507
Fri Nov 29 10:17:04 2024  MPI process 0 of 1
Fri Nov 29 10:17:04 2024  factoring 13995023991060293342897998679661365410201989862886291264793262719689773237535584048958944601350295863219733709840637901252328039343453656646701149981223033254406626594087292731 (176 digits)
Fri Nov 29 10:17:04 2024  searching for 15-digit factors
Fri Nov 29 10:17:04 2024  commencing number field sieve (176-digit input)
Fri Nov 29 10:17:04 2024  R0: 1000000000000000000000000000000000000
Fri Nov 29 10:17:04 2024  R1: -1
Fri Nov 29 10:17:04 2024  A0: -1
Fri Nov 29 10:17:04 2024  A1: 0
Fri Nov 29 10:17:04 2024  A2: 0
Fri Nov 29 10:17:04 2024  A3: 0
Fri Nov 29 10:17:04 2024  A4: 0
Fri Nov 29 10:17:04 2024  A5: 0
Fri Nov 29 10:17:04 2024  A6: 700
Fri Nov 29 10:17:04 2024  skew 1.00, size 5.402e-11, alpha 1.212, combined = 2.089e-12 rroots = 2
Fri Nov 29 10:17:04 2024  
Fri Nov 29 10:17:04 2024  commencing relation filtering
Fri Nov 29 10:17:04 2024  setting target matrix density to 130.0
Fri Nov 29 10:17:04 2024  estimated available RAM is 64046.8 MB
Fri Nov 29 10:17:04 2024  commencing duplicate removal, pass 1
Fri Nov 29 10:18:56 2024  error -9 reading relation 30646944
Fri Nov 29 10:19:16 2024  error -9 reading relation 36310669
Fri Nov 29 10:19:16 2024  error -9 reading relation 36387614
Fri Nov 29 10:19:17 2024  error -9 reading relation 36455141
Fri Nov 29 10:19:17 2024  error -9 reading relation 36464749
Fri Nov 29 10:19:19 2024  error -15 reading relation 37054794
Fri Nov 29 10:19:29 2024  error -15 reading relation 40102417
Fri Nov 29 10:19:34 2024  error -9 reading relation 41771549
Fri Nov 29 10:19:34 2024  error -5 reading relation 41813745
Fri Nov 29 10:19:36 2024  error -9 reading relation 42302173
Fri Nov 29 10:19:38 2024  error -15 reading relation 42829588
Fri Nov 29 10:19:48 2024  skipped 5 relations with b > 2^32
Fri Nov 29 10:19:48 2024  skipped 9 relations with composite factors
Fri Nov 29 10:19:48 2024  found 1742146 hash collisions in 44452453 relations
Fri Nov 29 10:19:55 2024  commencing duplicate removal, pass 2
Fri Nov 29 10:20:02 2024  found 0 duplicates and 44452453 unique relations
Fri Nov 29 10:20:02 2024  memory use: 130.6 MB
Fri Nov 29 10:20:02 2024  reading ideals above 720000
Fri Nov 29 10:20:03 2024  commencing singleton removal, initial pass
Fri Nov 29 10:22:39 2024  memory use: 1378.0 MB
Fri Nov 29 10:22:40 2024  reading all ideals from disk
Fri Nov 29 10:22:41 2024  memory use: 1615.1 MB
Fri Nov 29 10:22:42 2024  keeping 45432688 ideals with weight <= 200, target excess is 235530
Fri Nov 29 10:22:45 2024  commencing in-memory singleton removal
Fri Nov 29 10:22:46 2024  begin with 44452453 relations and 45432688 unique ideals
Fri Nov 29 10:23:05 2024  reduce to 23989697 relations and 22327793 ideals in 18 passes
Fri Nov 29 10:23:05 2024  max relations containing the same ideal: 137
Fri Nov 29 10:23:12 2024  removing 2867082 relations and 2467082 ideals in 400000 cliques
Fri Nov 29 10:23:13 2024  commencing in-memory singleton removal
Fri Nov 29 10:23:14 2024  begin with 21122615 relations and 22327793 unique ideals
Fri Nov 29 10:23:22 2024  reduce to 20817824 relations and 19548780 ideals in 11 passes
Fri Nov 29 10:23:22 2024  max relations containing the same ideal: 125
Fri Nov 29 10:23:29 2024  removing 2147790 relations and 1747790 ideals in 400000 cliques
Fri Nov 29 10:23:29 2024  commencing in-memory singleton removal
Fri Nov 29 10:23:30 2024  begin with 18670034 relations and 19548780 unique ideals
Fri Nov 29 10:23:36 2024  reduce to 18494002 relations and 17621291 ideals in 9 passes
Fri Nov 29 10:23:36 2024  max relations containing the same ideal: 119
Fri Nov 29 10:23:41 2024  removing 1910701 relations and 1510701 ideals in 400000 cliques
Fri Nov 29 10:23:42 2024  commencing in-memory singleton removal
Fri Nov 29 10:23:42 2024  begin with 16583301 relations and 17621291 unique ideals
Fri Nov 29 10:23:48 2024  reduce to 16434379 relations and 15958634 ideals in 9 passes
Fri Nov 29 10:23:48 2024  max relations containing the same ideal: 108
Fri Nov 29 10:23:53 2024  removing 1030567 relations and 828037 ideals in 202530 cliques
Fri Nov 29 10:23:53 2024  commencing in-memory singleton removal
Fri Nov 29 10:23:54 2024  begin with 15403812 relations and 15958634 unique ideals
Fri Nov 29 10:23:57 2024  reduce to 15359391 relations and 15085721 ideals in 7 passes
Fri Nov 29 10:23:57 2024  max relations containing the same ideal: 107
Fri Nov 29 10:24:04 2024  relations with 0 large ideals: 8310
Fri Nov 29 10:24:04 2024  relations with 1 large ideals: 3067
Fri Nov 29 10:24:04 2024  relations with 2 large ideals: 25121
Fri Nov 29 10:24:04 2024  relations with 3 large ideals: 198711
Fri Nov 29 10:24:04 2024  relations with 4 large ideals: 887183
Fri Nov 29 10:24:04 2024  relations with 5 large ideals: 2348551
Fri Nov 29 10:24:04 2024  relations with 6 large ideals: 3855151
Fri Nov 29 10:24:04 2024  relations with 7+ large ideals: 8033297
Fri Nov 29 10:24:04 2024  commencing 2-way merge
Fri Nov 29 10:24:10 2024  reduce to 9977676 relation sets and 9704006 unique ideals
Fri Nov 29 10:24:10 2024  commencing full merge
Fri Nov 29 10:29:08 2024  memory use: 448.6 MB
Fri Nov 29 10:29:08 2024  found 18991 cycles, need 2094730
Fri Nov 29 10:29:08 2024  too few cycles, matrix probably cannot build
Fri Nov 29 10:29:08 2024  filtering wants 1000000 more relations
Fri Nov 29 10:29:08 2024  elapsed time 00:12:04
Fri Nov 29 10:29:24 2024  
Fri Nov 29 10:29:24 2024  
Fri Nov 29 10:29:24 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Nov 29 10:29:24 2024  random seeds: daf1452f b12da220
Fri Nov 29 10:29:24 2024  MPI process 0 of 1
Fri Nov 29 10:29:24 2024  factoring 13995023991060293342897998679661365410201989862886291264793262719689773237535584048958944601350295863219733709840637901252328039343453656646701149981223033254406626594087292731 (176 digits)
Fri Nov 29 10:29:24 2024  searching for 15-digit factors
Fri Nov 29 10:29:24 2024  commencing number field sieve (176-digit input)
Fri Nov 29 10:29:24 2024  R0: 1000000000000000000000000000000000000
Fri Nov 29 10:29:24 2024  R1: -1
Fri Nov 29 10:29:24 2024  A0: -1
Fri Nov 29 10:29:24 2024  A1: 0
Fri Nov 29 10:29:24 2024  A2: 0
Fri Nov 29 10:29:24 2024  A3: 0
Fri Nov 29 10:29:24 2024  A4: 0
Fri Nov 29 10:29:24 2024  A5: 0
Fri Nov 29 10:29:24 2024  A6: 700
Fri Nov 29 10:29:24 2024  skew 1.00, size 5.402e-11, alpha 1.212, combined = 2.089e-12 rroots = 2
Fri Nov 29 10:29:24 2024  
Fri Nov 29 10:29:24 2024  commencing relation filtering
Fri Nov 29 10:29:24 2024  setting target matrix density to 120.0
Fri Nov 29 10:29:24 2024  estimated available RAM is 64046.8 MB
Fri Nov 29 10:29:24 2024  commencing duplicate removal, pass 1
Fri Nov 29 10:31:16 2024  error -9 reading relation 30646944
Fri Nov 29 10:31:36 2024  error -9 reading relation 36310669
Fri Nov 29 10:31:36 2024  error -9 reading relation 36387614
Fri Nov 29 10:31:36 2024  error -9 reading relation 36455141
Fri Nov 29 10:31:36 2024  error -9 reading relation 36464749
Fri Nov 29 10:31:38 2024  error -15 reading relation 37054794
Fri Nov 29 10:31:48 2024  error -15 reading relation 40102417
Fri Nov 29 10:31:54 2024  error -9 reading relation 41771549
Fri Nov 29 10:31:54 2024  error -5 reading relation 41813745
Fri Nov 29 10:31:55 2024  error -9 reading relation 42302173
Fri Nov 29 10:31:57 2024  error -15 reading relation 42829588
Fri Nov 29 10:32:08 2024  skipped 5 relations with b > 2^32
Fri Nov 29 10:32:08 2024  skipped 9 relations with composite factors
Fri Nov 29 10:32:08 2024  found 1742146 hash collisions in 44452453 relations
Fri Nov 29 10:32:14 2024  commencing duplicate removal, pass 2
Fri Nov 29 10:32:22 2024  found 0 duplicates and 44452453 unique relations
Fri Nov 29 10:32:22 2024  memory use: 130.6 MB
Fri Nov 29 10:32:22 2024  reading ideals above 720000
Fri Nov 29 10:32:22 2024  commencing singleton removal, initial pass
Fri Nov 29 10:34:59 2024  memory use: 1378.0 MB
Fri Nov 29 10:35:01 2024  reading all ideals from disk
Fri Nov 29 10:35:01 2024  memory use: 1615.1 MB
Fri Nov 29 10:35:03 2024  keeping 45432688 ideals with weight <= 200, target excess is 235530
Fri Nov 29 10:35:05 2024  commencing in-memory singleton removal
Fri Nov 29 10:35:07 2024  begin with 44452453 relations and 45432688 unique ideals
Fri Nov 29 10:35:26 2024  reduce to 23989697 relations and 22327793 ideals in 18 passes
Fri Nov 29 10:35:26 2024  max relations containing the same ideal: 137
Fri Nov 29 10:35:33 2024  removing 2867082 relations and 2467082 ideals in 400000 cliques
Fri Nov 29 10:35:34 2024  commencing in-memory singleton removal
Fri Nov 29 10:35:35 2024  begin with 21122615 relations and 22327793 unique ideals
Fri Nov 29 10:35:43 2024  reduce to 20817824 relations and 19548780 ideals in 11 passes
Fri Nov 29 10:35:43 2024  max relations containing the same ideal: 125
Fri Nov 29 10:35:50 2024  removing 2147790 relations and 1747790 ideals in 400000 cliques
Fri Nov 29 10:35:50 2024  commencing in-memory singleton removal
Fri Nov 29 10:35:51 2024  begin with 18670034 relations and 19548780 unique ideals
Fri Nov 29 10:35:57 2024  reduce to 18494002 relations and 17621291 ideals in 9 passes
Fri Nov 29 10:35:57 2024  max relations containing the same ideal: 119
Fri Nov 29 10:36:03 2024  removing 1910701 relations and 1510701 ideals in 400000 cliques
Fri Nov 29 10:36:03 2024  commencing in-memory singleton removal
Fri Nov 29 10:36:04 2024  begin with 16583301 relations and 17621291 unique ideals
Fri Nov 29 10:36:09 2024  reduce to 16434379 relations and 15958634 ideals in 9 passes
Fri Nov 29 10:36:09 2024  max relations containing the same ideal: 108
Fri Nov 29 10:36:14 2024  removing 1030567 relations and 828037 ideals in 202530 cliques
Fri Nov 29 10:36:14 2024  commencing in-memory singleton removal
Fri Nov 29 10:36:15 2024  begin with 15403812 relations and 15958634 unique ideals
Fri Nov 29 10:36:19 2024  reduce to 15359391 relations and 15085721 ideals in 7 passes
Fri Nov 29 10:36:19 2024  max relations containing the same ideal: 107
Fri Nov 29 10:36:25 2024  relations with 0 large ideals: 8310
Fri Nov 29 10:36:25 2024  relations with 1 large ideals: 3067
Fri Nov 29 10:36:25 2024  relations with 2 large ideals: 25121
Fri Nov 29 10:36:25 2024  relations with 3 large ideals: 198711
Fri Nov 29 10:36:25 2024  relations with 4 large ideals: 887183
Fri Nov 29 10:36:25 2024  relations with 5 large ideals: 2348551
Fri Nov 29 10:36:25 2024  relations with 6 large ideals: 3855151
Fri Nov 29 10:36:25 2024  relations with 7+ large ideals: 8033297
Fri Nov 29 10:36:25 2024  commencing 2-way merge
Fri Nov 29 10:36:31 2024  reduce to 9977676 relation sets and 9704006 unique ideals
Fri Nov 29 10:36:31 2024  commencing full merge
Fri Nov 29 10:41:30 2024  memory use: 448.6 MB
Fri Nov 29 10:41:30 2024  found 18991 cycles, need 2094730
Fri Nov 29 10:41:30 2024  too few cycles, matrix probably cannot build
Fri Nov 29 10:41:30 2024  filtering wants 1000000 more relations
Fri Nov 29 10:41:30 2024  elapsed time 00:12:06
Fri Nov 29 10:44:32 2024  
Fri Nov 29 10:44:32 2024  
Fri Nov 29 10:44:32 2024  Msieve v. 1.54 (SVN Unversioned directory)
Fri Nov 29 10:44:32 2024  random seeds: 2931cec0 79d76ca8
Fri Nov 29 10:44:32 2024  MPI process 0 of 1
Fri Nov 29 10:44:32 2024  factoring 13995023991060293342897998679661365410201989862886291264793262719689773237535584048958944601350295863219733709840637901252328039343453656646701149981223033254406626594087292731 (176 digits)
Fri Nov 29 10:44:32 2024  searching for 15-digit factors
Fri Nov 29 10:44:33 2024  commencing number field sieve (176-digit input)
Fri Nov 29 10:44:33 2024  R0: 1000000000000000000000000000000000000
Fri Nov 29 10:44:33 2024  R1: -1
Fri Nov 29 10:44:33 2024  A0: -1
Fri Nov 29 10:44:33 2024  A1: 0
Fri Nov 29 10:44:33 2024  A2: 0
Fri Nov 29 10:44:33 2024  A3: 0
Fri Nov 29 10:44:33 2024  A4: 0
Fri Nov 29 10:44:33 2024  A5: 0
Fri Nov 29 10:44:33 2024  A6: 700
Fri Nov 29 10:44:33 2024  skew 1.00, size 5.402e-11, alpha 1.212, combined = 2.089e-12 rroots = 2
Fri Nov 29 10:44:33 2024  
Fri Nov 29 10:44:33 2024  commencing relation filtering
Fri Nov 29 10:44:33 2024  setting target matrix density to 110.0
Fri Nov 29 10:44:33 2024  estimated available RAM is 64046.8 MB
Fri Nov 29 10:44:33 2024  commencing duplicate removal, pass 1
Fri Nov 29 10:46:24 2024  error -9 reading relation 30646944
Fri Nov 29 10:46:44 2024  error -9 reading relation 36310669
Fri Nov 29 10:46:45 2024  error -9 reading relation 36387614
Fri Nov 29 10:46:45 2024  error -9 reading relation 36455141
Fri Nov 29 10:46:45 2024  error -9 reading relation 36464749
Fri Nov 29 10:46:47 2024  error -15 reading relation 37054794
Fri Nov 29 10:46:57 2024  error -15 reading relation 40102417
Fri Nov 29 10:47:02 2024  error -9 reading relation 41771549
Fri Nov 29 10:47:02 2024  error -5 reading relation 41813745
Fri Nov 29 10:47:04 2024  error -9 reading relation 42302173
Fri Nov 29 10:47:06 2024  error -15 reading relation 42829588
Fri Nov 29 10:47:17 2024  skipped 5 relations with b > 2^32
Fri Nov 29 10:47:17 2024  skipped 9 relations with composite factors
Fri Nov 29 10:47:17 2024  found 1742146 hash collisions in 44452453 relations
Fri Nov 29 10:47:23 2024  commencing duplicate removal, pass 2
Fri Nov 29 10:47:31 2024  found 0 duplicates and 44452453 unique relations
Fri Nov 29 10:47:31 2024  memory use: 130.6 MB
Fri Nov 29 10:47:31 2024  reading ideals above 720000
Fri Nov 29 10:47:31 2024  commencing singleton removal, initial pass
Fri Nov 29 10:50:08 2024  memory use: 1378.0 MB
Fri Nov 29 10:50:09 2024  reading all ideals from disk
Fri Nov 29 10:50:10 2024  memory use: 1615.1 MB
Fri Nov 29 10:50:12 2024  keeping 45432688 ideals with weight <= 200, target excess is 235530
Fri Nov 29 10:50:14 2024  commencing in-memory singleton removal
Fri Nov 29 10:50:16 2024  begin with 44452453 relations and 45432688 unique ideals
Fri Nov 29 10:50:34 2024  reduce to 23989697 relations and 22327793 ideals in 18 passes
Fri Nov 29 10:50:34 2024  max relations containing the same ideal: 137
Fri Nov 29 10:50:42 2024  removing 2867082 relations and 2467082 ideals in 400000 cliques
Fri Nov 29 10:50:42 2024  commencing in-memory singleton removal
Fri Nov 29 10:50:43 2024  begin with 21122615 relations and 22327793 unique ideals
Fri Nov 29 10:50:52 2024  reduce to 20817824 relations and 19548780 ideals in 11 passes
Fri Nov 29 10:50:52 2024  max relations containing the same ideal: 125
Fri Nov 29 10:50:58 2024  removing 2147790 relations and 1747790 ideals in 400000 cliques
Fri Nov 29 10:50:59 2024  commencing in-memory singleton removal
Fri Nov 29 10:50:59 2024  begin with 18670034 relations and 19548780 unique ideals
Fri Nov 29 10:51:06 2024  reduce to 18494002 relations and 17621291 ideals in 9 passes
Fri Nov 29 10:51:06 2024  max relations containing the same ideal: 119
Fri Nov 29 10:51:11 2024  removing 1910701 relations and 1510701 ideals in 400000 cliques
Fri Nov 29 10:51:12 2024  commencing in-memory singleton removal
Fri Nov 29 10:51:12 2024  begin with 16583301 relations and 17621291 unique ideals
Fri Nov 29 10:51:18 2024  reduce to 16434379 relations and 15958634 ideals in 9 passes
Fri Nov 29 10:51:18 2024  max relations containing the same ideal: 108
Fri Nov 29 10:51:23 2024  removing 1030567 relations and 828037 ideals in 202530 cliques
Fri Nov 29 10:51:23 2024  commencing in-memory singleton removal
Fri Nov 29 10:51:24 2024  begin with 15403812 relations and 15958634 unique ideals
Fri Nov 29 10:51:28 2024  reduce to 15359391 relations and 15085721 ideals in 7 passes
Fri Nov 29 10:51:28 2024  max relations containing the same ideal: 107
Fri Nov 29 10:51:34 2024  relations with 0 large ideals: 8310
Fri Nov 29 10:51:34 2024  relations with 1 large ideals: 3067
Fri Nov 29 10:51:34 2024  relations with 2 large ideals: 25121
Fri Nov 29 10:51:34 2024  relations with 3 large ideals: 198711
Fri Nov 29 10:51:34 2024  relations with 4 large ideals: 887183
Fri Nov 29 10:51:34 2024  relations with 5 large ideals: 2348551
Fri Nov 29 10:51:34 2024  relations with 6 large ideals: 3855151
Fri Nov 29 10:51:34 2024  relations with 7+ large ideals: 8033297
Fri Nov 29 10:51:34 2024  commencing 2-way merge
Fri Nov 29 10:51:40 2024  reduce to 9977676 relation sets and 9704006 unique ideals
Fri Nov 29 10:51:40 2024  commencing full merge
Fri Nov 29 10:54:03 2024  memory use: 1308.9 MB
Fri Nov 29 10:54:04 2024  found 4584700 cycles, need 4578206
Fri Nov 29 10:54:05 2024  weight of 4578206 cycles is about 503773989 (110.04/cycle)
Fri Nov 29 10:54:05 2024  distribution of cycle lengths:
Fri Nov 29 10:54:05 2024  1 relations: 229382
Fri Nov 29 10:54:05 2024  2 relations: 342655
Fri Nov 29 10:54:05 2024  3 relations: 393304
Fri Nov 29 10:54:05 2024  4 relations: 387162
Fri Nov 29 10:54:05 2024  5 relations: 373091
Fri Nov 29 10:54:05 2024  6 relations: 347678
Fri Nov 29 10:54:05 2024  7 relations: 319442
Fri Nov 29 10:54:05 2024  8 relations: 292927
Fri Nov 29 10:54:05 2024  9 relations: 265464
Fri Nov 29 10:54:05 2024  10+ relations: 1627101
Fri Nov 29 10:54:05 2024  heaviest cycle: 28 relations
Fri Nov 29 10:54:05 2024  commencing cycle optimization
Fri Nov 29 10:54:11 2024  start with 38267841 relations
Fri Nov 29 10:55:00 2024  pruned 1561269 relations
Fri Nov 29 10:55:00 2024  memory use: 1033.3 MB
Fri Nov 29 10:55:00 2024  distribution of cycle lengths:
Fri Nov 29 10:55:00 2024  1 relations: 229382
Fri Nov 29 10:55:00 2024  2 relations: 351746
Fri Nov 29 10:55:00 2024  3 relations: 410718
Fri Nov 29 10:55:00 2024  4 relations: 402368
Fri Nov 29 10:55:00 2024  5 relations: 389714
Fri Nov 29 10:55:00 2024  6 relations: 359911
Fri Nov 29 10:55:00 2024  7 relations: 331241
Fri Nov 29 10:55:00 2024  8 relations: 301022
Fri Nov 29 10:55:00 2024  9 relations: 272068
Fri Nov 29 10:55:00 2024  10+ relations: 1530036
Fri Nov 29 10:55:00 2024  heaviest cycle: 28 relations
Fri Nov 29 10:55:04 2024  RelProcTime: 631
Fri Nov 29 10:55:04 2024  
Fri Nov 29 10:55:04 2024  commencing linear algebra
Fri Nov 29 10:55:04 2024  initialized process (0,0) of 1 x 1 grid
Fri Nov 29 10:55:04 2024  read 4578206 cycles
Fri Nov 29 10:55:08 2024  cycles contain 15179216 unique relations
Fri Nov 29 10:55:41 2024  read 15179216 relations
Fri Nov 29 10:56:01 2024  using 20 quadratic characters above 4294917295
Fri Nov 29 10:56:46 2024  building initial matrix
Fri Nov 29 10:58:30 2024  memory use: 1861.4 MB
Fri Nov 29 10:58:32 2024  read 4578206 cycles
Fri Nov 29 10:58:32 2024  matrix is 4578029 x 4578206 (1977.6 MB) with weight 564906746 (123.39/col)
Fri Nov 29 10:58:32 2024  sparse part has weight 472631977 (103.24/col)
Fri Nov 29 10:59:01 2024  filtering completed in 2 passes
Fri Nov 29 10:59:02 2024  matrix is 4577924 x 4578094 (1977.6 MB) with weight 564903003 (123.39/col)
Fri Nov 29 10:59:02 2024  sparse part has weight 472630569 (103.24/col)
Fri Nov 29 10:59:20 2024  matrix starts at (0, 0)
Fri Nov 29 10:59:20 2024  matrix is 4577924 x 4578094 (1977.6 MB) with weight 564903003 (123.39/col)
Fri Nov 29 10:59:20 2024  sparse part has weight 472630569 (103.24/col)
Fri Nov 29 10:59:20 2024  saving the first 240 matrix rows for later
Fri Nov 29 10:59:21 2024  matrix includes 256 packed rows
Fri Nov 29 10:59:21 2024  matrix is 4577684 x 4578094 (1810.5 MB) with weight 425551050 (92.95/col)
Fri Nov 29 10:59:21 2024  sparse part has weight 401371267 (87.67/col)
Fri Nov 29 10:59:22 2024  using block size 8192 and superblock size 294912 for processor cache size 12288 kB
Fri Nov 29 10:59:28 2024  commencing Lanczos iteration (8 threads)
Fri Nov 29 10:59:28 2024  memory use: 2678.0 MB
Fri Nov 29 10:59:37 2024  linear algebra at 0.0%, ETA 5h48m
Fri Nov 29 10:59:39 2024  checkpointing every 820000 dimensions
Fri Nov 29 16:47:31 2024  lanczos halted after 17937 iterations (dim = 4577681)
Fri Nov 29 16:47:44 2024  recovered 39 nontrivial dependencies
Fri Nov 29 16:47:44 2024  BLanczosTime: 21160
Fri Nov 29 16:47:44 2024  
Fri Nov 29 16:47:44 2024  commencing square root phase
Fri Nov 29 16:47:44 2024  handling dependencies 1 to 64
Fri Nov 29 16:47:44 2024  reading relations for dependency 1
Fri Nov 29 16:47:44 2024  read 2287302 cycles
Fri Nov 29 16:47:46 2024  cycles contain 7585658 unique relations
Fri Nov 29 16:48:04 2024  read 7585658 relations
Fri Nov 29 16:48:24 2024  multiplying 7585658 relations
Fri Nov 29 16:50:46 2024  multiply complete, coefficients have about 249.31 million bits
Fri Nov 29 16:50:47 2024  initial square root is modulo 885337903
Fri Nov 29 16:53:36 2024  sqrtTime: 352
Fri Nov 29 16:53:36 2024  p78 factor: 325242077320507924273466681187631118592617288435224062992070090332437294728523
Fri Nov 29 16:53:36 2024  p98 factor: 43029561569516658454542096038835939750112761741868619935622221479458448756203781736370836627462097
Fri Nov 29 16:53:36 2024  elapsed time 06:09:04

NFS@Home, msieve 1.54

ubuntu 24.04, i3-12100, 64GB RAM

3270422665461525129961420186773079922848480932141682352046539587945193123436195611248858587985435471968633319091555696235816204622436623382256729487226454027475222538242639043756575189522945860661<196>

348279620804872445410994886071<30>
9390221161673470473567247025692231628062657056634748268621263838462144754439904600970067197841117581718255020214998911863508838973487676860973453624862611792615634291<166>

********** Factor found in step 1: 348279620804872445410994886071
Found probable prime factor of 30 digits: 348279620804872445410994886071
Probable prime cofactor 9390221161673470473567247025692231628062657056634748268621263838462144754439904600970067197841117581718255020214998911863508838973487676860973453624862611792615634291 has 166 digits

10144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971<221>

449425907919412416757548237536003<33>
22573081252029186805153083957576131920675197449241219941366962789382135716690839752061287213489841268511513780643703892709640214891117788688452562985688354845705991829074161630480324968657<188>

********** Factor found in step 2: 449425907919412416757548237536003
Found probable prime factor of 33 digits: 449425907919412416757548237536003
Probable prime cofactor 22573081252029186805153083957576131920675197449241219941366962789382135716690839752061287213489841268511513780643703892709640214891117788688452562985688354845705991829074161630480324968657 has 188 digits

11875579826798930469917736735045777701956763889340814172840907910822964959822160713052861484616475528521331739496735795770261717892849254932209971174237<152>

71167914076013093377073468913429023<35>

166867049301386715786199749392721221109557402456043117682182844305305420963222092098349899019546089253481534123983619<117>

********** Factor found in step 2: 71167914076013093377073468913429023
Found probable prime factor of 35 digits: 71167914076013093377073468913429023
Composite cofactor 166867049301386715786199749392721221109557402456043117682182844305305420963222092098349899019546089253481534123983619 has 117 digits

166867049301386715786199749392721221109557402456043117682182844305305420963222092098349899019546089253481534123983619<117>

136141314032104951471723430994426381121064568503<48>
1225690015464636967734361943063300162741724455855379657526232308644373<70>

Number: 9
N=166867049301386715786199749392721221109557402456043117682182844305305420963222092098349899019546089253481534123983619
  ( 117 digits)
Divisors found:
 r1=136141314032104951471723430994426381121064568503 (pp48)
 r2=1225690015464636967734361943063300162741724455855379657526232308644373 (pp70)
Version: Msieve-1.40
Total time: 25.48 hours.
Scaled time: 44.31 units (timescale=1.739).
Factorization parameters were as follows:
# Murphy_E = 4.68e-10, selected by Erik Branger
n: 166867049301386715786199749392721221109557402456043117682182844305305420963222092098349899019546089253481534123983619
Y0: -57563673507827903732831
Y1: 1170554135207
c0: 1534106038415864426267267169600
c1: 11178509814857080210432354
c2: -156877714636847212675
c3: 43139088738346
c4: 722042436
c5: 264
skew: 456263.83
type: gnfs
# selected mechanically
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2100000, 3400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 520244 x 520478
Total sieving time: 24.95 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4200000,4200000,27,27,51,51,2.5,2.5,100000
total time: 25.48 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

55423594615993665874901029295328582739509105304829770387965162311955661124307205067300079176563737133808392715756136183689627870150435471100554235946159936658749010292953285827395091053048297703879651623119556611243072050673<224>

4146602141027439755587161181531045747452512307779298937998796215046778215687275302251<85>
13366026623972387846979539255761804453690887421694251528050915058435195922151838759172865930811995926714679220159595644563147897085591323923<140>

prp85 = 4146602141027439755587161181531045747452512307779298937998796215046778215687275302251
prp140 = 13366026623972387846979539255761804453690887421694251528050915058435195922151838759172865930811995926714679220159595644563147897085591323923

ggnfs-lasieve4I14e on the RSALS grid + msieve

37184114967334020602018258144131260350796003005113931331457447853395571042562372236044974293293318976015342803277492885483603053623265314556630158771390095734753596540559927964807678710973345735829279866400662132223206893<221>

39376534280948973664917076563180075866820485446268789355304586475781219551659630006237370238139748451235247091627206764209851334846215340785261608615953459230849753539171557625958857<182>

13084880189428687803463362957244260474494899105455897065433704500758849578897912238199894697772518595218598525910842946202132203089769988102809308552905357791084972725391898591711077<182>

547063041650213817002611558380328554745956431389797199233367607784000893069411711650577670272802240540658442701269863052544399093754256070602603565451673996560815210456174700889894289860176604760341783480092508073056802427<222>

33701868999519945888438596273849441717873<41>

16232424428983634678846888975757395810209841192709070998404915237583161473379617847845579595766870307689889304117842944441041896229844720290668797420944981366023805125013524961821099<182>

********** Factor found in step 2: 33701868999519945888438596273849441717873
Found probable prime factor of 41 digits: 33701868999519945888438596273849441717873
Composite cofactor 16232424428983634678846888975757395810209841192709070998404915237583161473379617847845579595766870307689889304117842944441041896229844720290668797420944981366023805125013524961821099 has 182 digits

262633069701959431999536549240281841358843840550579189946082161504298727652014381291440129565035493383262602919442614736169962704718214221655822667075251121731962489315654425142956700589<186>

251854873116560610119642578790595311641952083665723047<54>
1042795267179168613613670129101193037898207118011139115363425256991786698764861785160857888297403254503228361972703388307120743176587<133>

***factors found***

C49 = 2665315532405618817076723358339514219652612937691
P133 = 1042795267179168613613670129101193037898207118011139115363425256991786698764861785160857888297403254503228361972703388307120743176587
P54 = 251854873116560610119642578790595311641952083665723047

ans = 1

yafu 2.11

ubuntu+wine

36453006234706778800562548675312595506584873618517779613021245726690026990974713067248812261704334949761333146869505338747756813747244875161494138880580000990275087185942050027973170678820814244953504484465616987921018025329<224>

17942928042499399049467104320971619533542313<44>
2031608561789058944046110317802076870028880954092468744153417121512497431537552564813176928014722480068991909729020106353580538607235454238142352888997440575184627153967227879633033<181>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4231773776
Step 1 took 514761ms
Step 2 took 140617ms
********** Factor found in step 2: 17942928042499399049467104320971619533542313
Found probable prime factor of 44 digits: 17942928042499399049467104320971619533542313
Probable prime cofactor 2031608561789058944046110317802076870028880954092468744153417121512497431537552564813176928014722480068991909729020106353580538607235454238142352888997440575184627153967227879633033 has 181 digits

278523263058248321692698945023011093395802029346311783850641468980810782709065339475921174358138046421003327957293025187547863460640512131251<141>

5462438250504767114527993484441325552661584486951272473657142045900801<70>
50988816767404344347475174080569557274228448920364850310386712914870451<71>

<Polynomial search using msieve 1.52 (SVN 942) win64 CUDA>

Wed Dec 04 08:38:22 2013  
Wed Dec 04 08:38:22 2013  
Wed Dec 04 08:38:22 2013  Msieve v. 1.52 (SVN unknown)
Wed Dec 04 08:38:22 2013  random seeds: 62691b88 00cc5550
Wed Dec 04 08:38:22 2013  factoring 278523263058248321692698945023011093395802029346311783850641468980810782709065339475921174358138046421003327957293025187547863460640512131251 (141 digits)
Wed Dec 04 08:38:24 2013  searching for 15-digit factors
Wed Dec 04 08:38:31 2013  commencing number field sieve (141-digit input)
Wed Dec 04 08:38:31 2013  commencing number field sieve polynomial selection
Wed Dec 04 08:38:31 2013  polynomial degree: 5
Wed Dec 04 08:38:31 2013  max stage 1 norm: 2.77e+021
Wed Dec 04 08:38:31 2013  max stage 2 norm: 4.97e+019
Wed Dec 04 08:38:31 2013  min E-value: 1.51e-011
Wed Dec 04 08:38:31 2013  poly select deadline: 239770
Wed Dec 04 08:38:31 2013  time limit set to 66.60 CPU-hours
Wed Dec 04 08:38:31 2013  expecting poly E from 1.93e-011 to > 2.22e-011
Wed Dec 04 08:38:31 2013  searching leading coefficients from 1 to 3508502
Wed Dec 04 08:38:31 2013  using GPU 0 (GeForce GTX 660)
Wed Dec 04 08:38:31 2013  selected card has CUDA arch 3.0
<...snipped...>
Thu Dec 05 00:45:41 2013  polynomial selection complete
Thu Dec 05 00:45:41 2013  R0: -1052862541730977528010501305
Thu Dec 05 00:45:41 2013  R1: 701687893302389
Thu Dec 05 00:45:41 2013  A0: -16083892738986628994570980081778496
Thu Dec 05 00:45:41 2013  A1: 68528654467822175055648845456
Thu Dec 05 00:45:41 2013  A2: 175213492267349243388068
Thu Dec 05 00:45:41 2013  A3: -364791977063717371
Thu Dec 05 00:45:41 2013  A4: -434633927982
Thu Dec 05 00:45:41 2013  A5: 215280
Thu Dec 05 00:45:41 2013  skew 714094.08, size 1.235e-013, alpha -7.039, combined = 1.857e-011 rroots = 5
Thu Dec 05 00:45:41 2013  elapsed time 02:54:50

<Factorization using GGNFS (SVN 440), msieve 1.51 (SVN 845)>

Thu Dec 05 22:26:57 2013 -> factmsieve.py (v0.76)
Thu Dec 05 22:26:57 2013 -> This is client 1 of 1
Thu Dec 05 22:26:57 2013 -> Running on 12 Cores with 2 hyper-threads per Core
Thu Dec 05 22:26:57 2013 -> Working with NAME = 23333_236
Thu Dec 05 22:26:57 2013 -> Selected lattice siever: gnfs-lasieve4I14e
Thu Dec 05 22:26:57 2013 -> Creating param file to detect parameter changes...
Thu Dec 05 22:26:57 2013 -> Running setup ...
Thu Dec 05 22:26:57 2013 -> Estimated minimum relations needed: 2.288e+07
Thu Dec 05 22:26:57 2013 -> cleaning up before a restart
Thu Dec 05 22:26:57 2013 -> Running lattice siever ...
Thu Dec 05 22:26:57 2013 -> entering sieving loop
<...snipped...>
Thu Dec 05 22:26:57 2013 -> Lattice sieving algebraic q from 8000000 to 8100000.
<...snipped...>
Thu Dec 05 22:52:39 2013 Found 316246 relations, 1.4% of the estimated minimum (22880000).
<...snipped...>
Fri Dec 06 06:28:17 2013 Found 5749091 relations, 25.1% of the estimated minimum (22880000).
<...snipped...>
Fri Dec 06 14:36:43 2013 Found 11480442 relations, 50.2% of the estimated minimum (22880000).
<...snipped...>
Fri Dec 06 22:53:35 2013 Found 17204982 relations, 75.2% of the estimated minimum (22880000).
<...snipped...>
Sat Dec 07 07:24:45 2013 Found 22883222 relations, 100.0% of the estimated minimum (22880000).
Sat Dec 07 07:24:45 2013  
Sat Dec 07 07:24:45 2013  
Sat Dec 07 07:24:45 2013  Msieve v. 1.51 (SVN 845)
Sat Dec 07 07:24:45 2013  random seeds: 8b290050 5e17ab0d
Sat Dec 07 07:24:45 2013  factoring 278523263058248321692698945023011093395802029346311783850641468980810782709065339475921174358138046421003327957293025187547863460640512131251 (141 digits)
Sat Dec 07 07:24:46 2013  searching for 15-digit factors
Sat Dec 07 07:24:47 2013  commencing number field sieve (141-digit input)
Sat Dec 07 07:24:47 2013  R0: -1052862541730977528010501305
Sat Dec 07 07:24:47 2013  R1: 701687893302389
Sat Dec 07 07:24:47 2013  A0: -16083892738986628994570980081778496
Sat Dec 07 07:24:47 2013  A1: 68528654467822175055648845456
Sat Dec 07 07:24:47 2013  A2: 175213492267349243388068
Sat Dec 07 07:24:47 2013  A3: -364791977063717371
Sat Dec 07 07:24:47 2013  A4: -434633927982
Sat Dec 07 07:24:47 2013  A5: 215280
Sat Dec 07 07:24:47 2013  skew 714094.08, size 1.235e-013, alpha -7.039, combined = 1.857e-011 rroots = 5
Sat Dec 07 07:24:47 2013  
Sat Dec 07 07:24:47 2013  commencing relation filtering
Sat Dec 07 07:24:47 2013  estimated available RAM is 4096.0 MB
Sat Dec 07 07:24:47 2013  commencing duplicate removal, pass 1
Sat Dec 07 07:27:15 2013  found 2549438 hash collisions in 22883221 relations
Sat Dec 07 07:28:07 2013  added 121915 free relations
Sat Dec 07 07:28:07 2013  commencing duplicate removal, pass 2
Sat Dec 07 07:28:25 2013  found 1975766 duplicates and 21029370 unique relations
Sat Dec 07 07:28:25 2013  memory use: 98.6 MB
Sat Dec 07 07:28:25 2013  reading ideals above 15138816
Sat Dec 07 07:28:30 2013  commencing singleton removal, initial pass
Sat Dec 07 07:31:17 2013  memory use: 689.0 MB
Sat Dec 07 07:31:17 2013  reading all ideals from disk
Sat Dec 07 07:31:17 2013  memory use: 369.2 MB
Sat Dec 07 07:31:18 2013  commencing in-memory singleton removal
Sat Dec 07 07:31:18 2013  begin with 21029370 relations and 20736171 unique ideals
Sat Dec 07 07:31:27 2013  reduce to 9270119 relations and 7166392 ideals in 20 passes
Sat Dec 07 07:31:27 2013  max relations containing the same ideal: 45
Sat Dec 07 07:31:28 2013  reading ideals above 100000
Sat Dec 07 07:31:28 2013  commencing singleton removal, initial pass
Sat Dec 07 07:33:08 2013  memory use: 188.3 MB
Sat Dec 07 07:33:08 2013  reading all ideals from disk
Sat Dec 07 07:33:08 2013  memory use: 371.9 MB
Sat Dec 07 07:33:09 2013  keeping 9077150 ideals with weight <= 200, target excess is 50495
Sat Dec 07 07:33:09 2013  commencing in-memory singleton removal
Sat Dec 07 07:33:10 2013  begin with 9270828 relations and 9077150 unique ideals
Sat Dec 07 07:33:18 2013  reduce to 9249043 relations and 9052159 ideals in 11 passes
Sat Dec 07 07:33:18 2013  max relations containing the same ideal: 200
Sat Dec 07 07:33:23 2013  removing 790358 relations and 721203 ideals in 69155 cliques
Sat Dec 07 07:33:23 2013  commencing in-memory singleton removal
Sat Dec 07 07:33:24 2013  begin with 8458685 relations and 9052159 unique ideals
Sat Dec 07 07:33:30 2013  reduce to 8400483 relations and 8272118 ideals in 9 passes
Sat Dec 07 07:33:30 2013  max relations containing the same ideal: 193
Sat Dec 07 07:33:34 2013  removing 580504 relations and 511349 ideals in 69155 cliques
Sat Dec 07 07:33:34 2013  commencing in-memory singleton removal
Sat Dec 07 07:33:35 2013  begin with 7819979 relations and 8272118 unique ideals
Sat Dec 07 07:33:40 2013  reduce to 7784525 relations and 7724964 ideals in 8 passes
Sat Dec 07 07:33:40 2013  max relations containing the same ideal: 185
Sat Dec 07 07:33:45 2013  relations with 0 large ideals: 176
Sat Dec 07 07:33:45 2013  relations with 1 large ideals: 86
Sat Dec 07 07:33:45 2013  relations with 2 large ideals: 1076
Sat Dec 07 07:33:45 2013  relations with 3 large ideals: 14124
Sat Dec 07 07:33:45 2013  relations with 4 large ideals: 106194
Sat Dec 07 07:33:45 2013  relations with 5 large ideals: 470152
Sat Dec 07 07:33:45 2013  relations with 6 large ideals: 1281376
Sat Dec 07 07:33:45 2013  relations with 7+ large ideals: 5911341
Sat Dec 07 07:33:45 2013  commencing 2-way merge
Sat Dec 07 07:33:51 2013  reduce to 4547665 relation sets and 4488104 unique ideals
Sat Dec 07 07:33:51 2013  commencing full merge
Sat Dec 07 07:35:37 2013  memory use: 466.8 MB
Sat Dec 07 07:35:38 2013  found 2354858 cycles, need 2348304
Sat Dec 07 07:35:38 2013  weight of 2348304 cycles is about 164600189 (70.09/cycle)
Sat Dec 07 07:35:38 2013  distribution of cycle lengths:
Sat Dec 07 07:35:38 2013  1 relations: 335296
Sat Dec 07 07:35:38 2013  2 relations: 308344
Sat Dec 07 07:35:38 2013  3 relations: 299225
Sat Dec 07 07:35:38 2013  4 relations: 259875
Sat Dec 07 07:35:38 2013  5 relations: 214413
Sat Dec 07 07:35:38 2013  6 relations: 182805
Sat Dec 07 07:35:38 2013  7 relations: 149950
Sat Dec 07 07:35:38 2013  8 relations: 121452
Sat Dec 07 07:35:38 2013  9 relations: 97967
Sat Dec 07 07:35:38 2013  10+ relations: 378977
Sat Dec 07 07:35:38 2013  heaviest cycle: 25 relations
Sat Dec 07 07:35:38 2013  commencing cycle optimization
Sat Dec 07 07:35:42 2013  start with 12931870 relations
Sat Dec 07 07:36:05 2013  pruned 241285 relations
Sat Dec 07 07:36:05 2013  memory use: 355.5 MB
Sat Dec 07 07:36:05 2013  distribution of cycle lengths:
Sat Dec 07 07:36:05 2013  1 relations: 335296
Sat Dec 07 07:36:05 2013  2 relations: 314937
Sat Dec 07 07:36:05 2013  3 relations: 308498
Sat Dec 07 07:36:05 2013  4 relations: 263429
Sat Dec 07 07:36:05 2013  5 relations: 217296
Sat Dec 07 07:36:05 2013  6 relations: 182630
Sat Dec 07 07:36:05 2013  7 relations: 149139
Sat Dec 07 07:36:05 2013  8 relations: 120131
Sat Dec 07 07:36:05 2013  9 relations: 96047
Sat Dec 07 07:36:05 2013  10+ relations: 360901
Sat Dec 07 07:36:05 2013  heaviest cycle: 25 relations
Sat Dec 07 07:36:08 2013  RelProcTime: 681
Sat Dec 07 07:36:08 2013  elapsed time 00:11:23
Sat Dec 07 07:36:08 2013 LatSieveTime: 2397.79
Sat Dec 07 07:36:08 2013 -> Running matrix solving step ...
Sat Dec 07 07:36:08 2013  
<...snipped...>
Sat Dec 07 07:36:10 2013  commencing linear algebra
Sat Dec 07 07:36:10 2013  read 2348304 cycles
Sat Dec 07 07:36:16 2013  cycles contain 7697166 unique relations
Sat Dec 07 07:37:08 2013  read 7697166 relations
Sat Dec 07 07:37:21 2013  using 20 quadratic characters above 268435148
Sat Dec 07 07:38:02 2013  building initial matrix
Sat Dec 07 07:40:09 2013  memory use: 903.0 MB
Sat Dec 07 07:40:12 2013  read 2348304 cycles
Sat Dec 07 07:40:13 2013  matrix is 2348126 x 2348304 (680.3 MB) with weight 222218166 (94.63/col)
Sat Dec 07 07:40:13 2013  sparse part has weight 159557720 (67.95/col)
Sat Dec 07 07:40:45 2013  filtering completed in 2 passes
Sat Dec 07 07:40:46 2013  matrix is 2346408 x 2346586 (680.2 MB) with weight 222157811 (94.67/col)
Sat Dec 07 07:40:46 2013  sparse part has weight 159544691 (67.99/col)
Sat Dec 07 07:40:58 2013  matrix starts at (0, 0)
Sat Dec 07 07:40:59 2013  matrix is 2346408 x 2346586 (680.2 MB) with weight 222157811 (94.67/col)
Sat Dec 07 07:40:59 2013  sparse part has weight 159544691 (67.99/col)
Sat Dec 07 07:40:59 2013  saving the first 48 matrix rows for later
Sat Dec 07 07:41:00 2013  matrix includes 64 packed rows
Sat Dec 07 07:41:01 2013  matrix is 2346360 x 2346586 (652.1 MB) with weight 177380430 (75.59/col)
Sat Dec 07 07:41:01 2013  sparse part has weight 156858901 (66.85/col)
Sat Dec 07 07:41:01 2013  using block size 65536 for processor cache size 15360 kB
Sat Dec 07 07:41:18 2013  commencing Lanczos iteration (24 threads)
Sat Dec 07 07:41:18 2013  memory use: 956.9 MB
Sat Dec 07 07:41:29 2013  linear algebra at 0.1%, ETA 4h17m
Sat Dec 07 07:41:33 2013  checkpointing every 530000 dimensions
Sat Dec 07 12:25:42 2013  lanczos halted after 37106 iterations (dim = 2346359)
Sat Dec 07 12:25:46 2013  recovered 31 nontrivial dependencies
Sat Dec 07 12:25:49 2013  BLanczosTime: 17379
Sat Dec 07 12:25:49 2013  elapsed time 04:49:41
Sat Dec 07 12:25:49 2013 -> Running square root step ...
Sat Dec 07 12:25:49 2013  
<...snipped...>
Sat Dec 07 12:25:51 2013  
Sat Dec 07 12:25:51 2013  commencing square root phase
Sat Dec 07 12:25:51 2013  reading relations for dependency 1
Sat Dec 07 12:25:52 2013  read 1173084 cycles
Sat Dec 07 12:25:54 2013  cycles contain 3847660 unique relations
Sat Dec 07 12:26:28 2013  read 3847660 relations
Sat Dec 07 12:26:50 2013  multiplying 3847660 relations
Sat Dec 07 12:38:50 2013  multiply complete, coefficients have about 199.33 million bits
Sat Dec 07 12:38:54 2013  initial square root is modulo 14236337
Sat Dec 07 12:53:39 2013  sqrtTime: 1668
Sat Dec 07 12:53:39 2013  prp70 factor: 5462438250504767114527993484441325552661584486951272473657142045900801
Sat Dec 07 12:53:39 2013  prp71 factor: 50988816767404344347475174080569557274228448920364850310386712914870451
Sat Dec 07 12:53:39 2013  elapsed time 00:27:50

msieve 1.52 (SVN 942) for polynomial selection, GGNFS (SVN 440), msieve 1.51 (SVN 845)

Windows 7 Pro 64bits, 2x Intel Xeon E5-2620 @2.0GHz, 2x NVIDIA GeForce GTX 660, 32GB RAM

45255983758936368146648700742610868945586437847891317540275438829517697939249873183354932392839082158827<104>

410019475579758605030854932239882110195735127<45>
110375205214204503680385308591271070816804214237128704393101<60>

Number: gg104
N=45255983758936368146648700742610868945586437847891317540275438829517697939249873183354932392839082158827
  ( 104 digits)
Divisors found:
 r1=410019475579758605030854932239882110195735127 (pp45)
 r2=110375205214204503680385308591271070816804214237128704393101 (pp60)
Version: Msieve-1.40
Total time: 7.34 hours.
Scaled time: 14.40 units (timescale=1.963).
Factorization parameters were as follows:
name: gg104
n: 45255983758936368146648700742610868945586437847891317540275438829517697939249873183354932392839082158827
skew: 2995.09
# norm 1.21e+014
c5: 585900
c4: -1562180538
c3: -3135242005562
c2: -16878368806419421
c1: -55116947816390754088
c0: 24802600886901830257609
# alpha -5.53
Y1: 4728905203
Y0: -37806853231520875620
# Murphy_E 2.13e-009
# M 28756648497767758097023441517359050552066221537888617280090218349041548367727088064434327241566318412896
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, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 267407 x 267637
Polynomial selection time: 0.64 hours.
Total sieving time: 6.45 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.09 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: 7.34 hours.
 --------- CPU info (if available) ----------

93187818193757833295664258008135688853140133391179566846718064783887363406737828735202129449393439798827350004978966311950312999418187053924717253607017444719956390020868004501408044828324597201<194>

5267452058044944546483393168169649<34>

17691251323575446204507710861739377127778725994589020306619360228402615106662774352882780037581507268932602450574633399477012356023473382241747467188408778255649<161>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2826871925
Step 1 took 7153ms
Step 2 took 3317ms
********** Factor found in step 2: 5267452058044944546483393168169649
Found probable prime factor of 34 digits: 5267452058044944546483393168169649
Composite cofactor 17691251323575446204507710861739377127778725994589020306619360228402615106662774352882780037581507268932602450574633399477012356023473382241747467188408778255649 has 161 digits

17691251323575446204507710861739377127778725994589020306619360228402615106662774352882780037581507268932602450574633399477012356023473382241747467188408778255649<161>

6210856802903145951099004059127414098533161933971815459634831505127<67>
2848439737864510080570018928548703462607656271453082114401913266104430196444477041412100104887<94>

<sieving by the RSALS grid>

<post-processing by Dmitry Domanov>
Sat May 14 18:28:45 2011  Msieve v. 1.48
Sat May 14 18:28:45 2011  random seeds: aa1e8fed 35aa7901
Sat May 14 18:28:45 2011  factoring 17691251323575446204507710861739377127778725994589020306619360228402615106662774352882780037581507268932602450574633399477012356023473382241747467188408778255649 (161 digits)
Sat May 14 18:28:46 2011  searching for 15-digit factors
Sat May 14 18:28:47 2011  commencing number field sieve (161-digit input)
Sat May 14 18:28:47 2011  R0: -18266175908254037530955726436000
Sat May 14 18:28:47 2011  R1:  464249174484878743
Sat May 14 18:28:47 2011  A0: -22987408550843243523050503805462984079257
Sat May 14 18:28:47 2011  A1: -19003244851693218264207219067381718
Sat May 14 18:28:47 2011  A2: -731431903556710438787553768
Sat May 14 18:28:47 2011  A3: -50143847311899340918
Sat May 14 18:28:47 2011  A4:  883579699889
Sat May 14 18:28:47 2011  A5:  8700
Sat May 14 18:28:47 2011  skew 42107644.59, size 1.531e-15, alpha -8.325, combined = 1.436e-12 rroots = 3
Sat May 14 18:28:47 2011
Sat May 14 18:28:47 2011  commencing relation filtering
Sat May 14 18:28:47 2011  estimated available RAM is 24048.2 MB
Sat May 14 18:28:47 2011  commencing duplicate removal, pass 1
<snip errors reading relations>
Sat May 14 18:58:44 2011  skipped 1 relations with b > 2^32
Sat May 14 18:58:44 2011  found 25445650 hash collisions in 124289276 relations
Sat May 14 18:59:36 2011  added 121957 free relations
Sat May 14 18:59:36 2011  commencing duplicate removal, pass 2
Sat May 14 19:13:42 2011  found 24920934 duplicates and 99490299 unique relations
Sat May 14 19:13:42 2011  memory use: 660.8 MB
Sat May 14 19:13:42 2011  reading ideals above 73990144
Sat May 14 19:13:42 2011  commencing singleton removal, initial pass
Sat May 14 19:43:10 2011  memory use: 1506.0 MB
Sat May 14 19:43:10 2011  reading all ideals from disk
Sat May 14 19:43:13 2011  memory use: 1674.5 MB
Sat May 14 19:43:19 2011  commencing in-memory singleton removal
Sat May 14 19:43:25 2011  begin with 99490299 relations and 81604000 unique ideals
Sat May 14 19:44:37 2011  reduce to 64557038 relations and 43108937 ideals in 14 passes
Sat May 14 19:44:37 2011  max relations containing the same ideal: 38
Sat May 14 19:44:44 2011  reading ideals above 720000
Sat May 14 19:44:44 2011  commencing singleton removal, initial pass
Sat May 14 20:10:41 2011  memory use: 1378.0 MB
Sat May 14 20:10:41 2011  reading all ideals from disk
Sat May 14 20:10:44 2011  memory use: 2382.7 MB
Sat May 14 20:10:55 2011  keeping 51442640 ideals with weight <= 200, target excess is 339884
Sat May 14 20:11:07 2011  commencing in-memory singleton removal
Sat May 14 20:11:17 2011  begin with 64557038 relations and 51442640 unique ideals
Sat May 14 20:12:38 2011  reduce to 64546117 relations and 51431719 ideals in 8 passes
Sat May 14 20:12:38 2011  max relations containing the same ideal: 200
Sat May 14 20:13:26 2011  removing 9461460 relations and 7461460 ideals in 2000000 cliques
Sat May 14 20:13:31 2011  commencing in-memory singleton removal
Sat May 14 20:13:38 2011  begin with 55084657 relations and 51431719 unique ideals
Sat May 14 20:14:37 2011  reduce to 54331610 relations and 43191567 ideals in 7 passes
Sat May 14 20:14:37 2011  max relations containing the same ideal: 185
Sat May 14 20:15:15 2011  removing 7190593 relations and 5190593 ideals in 2000000 cliques
Sat May 14 20:15:19 2011  commencing in-memory singleton removal
Sat May 14 20:15:26 2011  begin with 47141017 relations and 43191567 unique ideals
Sat May 14 20:16:14 2011  reduce to 46566217 relations and 37406632 ideals in 7 passes
Sat May 14 20:16:14 2011  max relations containing the same ideal: 169
Sat May 14 20:16:45 2011  removing 6554962 relations and 4554962 ideals in 2000000 cliques
Sat May 14 20:16:50 2011  commencing in-memory singleton removal
Sat May 14 20:16:55 2011  begin with 40011255 relations and 37406632 unique ideals
Sat May 14 20:17:39 2011  reduce to 39493223 relations and 32314625 ideals in 7 passes
Sat May 14 20:17:39 2011  max relations containing the same ideal: 158
Sat May 14 20:18:07 2011  removing 6131789 relations and 4131789 ideals in 2000000 cliques
Sat May 14 20:18:10 2011  commencing in-memory singleton removal
Sat May 14 20:18:14 2011  begin with 33361434 relations and 32314625 unique ideals
Sat May 14 20:18:49 2011  reduce to 32759323 relations and 27554331 ideals in 8 passes
Sat May 14 20:18:49 2011  max relations containing the same ideal: 140
Sat May 14 20:19:13 2011  removing 5897272 relations and 3897272 ideals in 2000000 cliques
Sat May 14 20:19:17 2011  commencing in-memory singleton removal
Sat May 14 20:19:20 2011  begin with 26862051 relations and 27554331 unique ideals
Sat May 14 20:19:51 2011  reduce to 26192676 relations and 22952731 ideals in 9 passes
Sat May 14 20:19:51 2011  max relations containing the same ideal: 118
Sat May 14 20:20:08 2011  removing 5715195 relations and 3715195 ideals in 2000000 cliques
Sat May 14 20:20:11 2011  commencing in-memory singleton removal
Sat May 14 20:20:14 2011  begin with 20477481 relations and 22952731 unique ideals
Sat May 14 20:20:35 2011  reduce to 19625114 relations and 18326416 ideals in 8 passes
Sat May 14 20:20:35 2011  max relations containing the same ideal: 97
Sat May 14 20:20:49 2011  removing 3149986 relations and 2245554 ideals in 904432 cliques
Sat May 14 20:20:51 2011  commencing in-memory singleton removal
Sat May 14 20:20:53 2011  begin with 16475128 relations and 18326416 unique ideals
Sat May 14 20:21:10 2011  reduce to 16170672 relations and 15764659 ideals in 8 passes
Sat May 14 20:21:10 2011  max relations containing the same ideal: 82
Sat May 14 20:21:23 2011  removing 82216 relations and 70469 ideals in 11747 cliques
Sat May 14 20:21:24 2011  commencing in-memory singleton removal
Sat May 14 20:21:26 2011  begin with 16088456 relations and 15764659 unique ideals
Sat May 14 20:21:34 2011  reduce to 16088206 relations and 15693939 ideals in 4 passes
Sat May 14 20:21:34 2011  max relations containing the same ideal: 82
Sat May 14 20:21:40 2011  relations with 0 large ideals: 1095
Sat May 14 20:21:40 2011  relations with 1 large ideals: 3925
Sat May 14 20:21:40 2011  relations with 2 large ideals: 56807
Sat May 14 20:21:40 2011  relations with 3 large ideals: 384655
Sat May 14 20:21:40 2011  relations with 4 large ideals: 1411416
Sat May 14 20:21:40 2011  relations with 5 large ideals: 3108895
Sat May 14 20:21:40 2011  relations with 6 large ideals: 4348365
Sat May 14 20:21:40 2011  relations with 7+ large ideals: 6773048
Sat May 14 20:21:40 2011  commencing 2-way merge
Sat May 14 20:21:55 2011  reduce to 11107844 relation sets and 10713577 unique ideals
Sat May 14 20:21:55 2011  commencing full merge
Sat May 14 20:25:19 2011  memory use: 1251.7 MB
Sat May 14 20:25:20 2011  found 5905782 cycles, need 5851777
Sat May 14 20:25:22 2011  weight of 5851777 cycles is about 409791591 (70.03/cycle)
Sat May 14 20:25:22 2011  distribution of cycle lengths:
Sat May 14 20:25:22 2011  1 relations: 614330
Sat May 14 20:25:22 2011  2 relations: 724676
Sat May 14 20:25:22 2011  3 relations: 779234
Sat May 14 20:25:22 2011  4 relations: 743382
Sat May 14 20:25:22 2011  5 relations: 678888
Sat May 14 20:25:22 2011  6 relations: 568264
Sat May 14 20:25:22 2011  7 relations: 466051
Sat May 14 20:25:22 2011  8 relations: 363045
Sat May 14 20:25:22 2011  9 relations: 275999
Sat May 14 20:25:22 2011  10+ relations: 637908
Sat May 14 20:25:22 2011  heaviest cycle: 19 relations
Sat May 14 20:25:24 2011  commencing cycle optimization
Sat May 14 20:25:35 2011  start with 30296068 relations
Sat May 14 20:26:29 2011  pruned 888712 relations
Sat May 14 20:26:30 2011  memory use: 979.3 MB
Sat May 14 20:26:30 2011  distribution of cycle lengths:
Sat May 14 20:26:30 2011  1 relations: 614330
Sat May 14 20:26:30 2011  2 relations: 741441
Sat May 14 20:26:30 2011  3 relations: 810733
Sat May 14 20:26:30 2011  4 relations: 767454
Sat May 14 20:26:30 2011  5 relations: 700793
Sat May 14 20:26:30 2011  6 relations: 579450
Sat May 14 20:26:30 2011  7 relations: 469170
Sat May 14 20:26:30 2011  8 relations: 356224
Sat May 14 20:26:30 2011  9 relations: 264477
Sat May 14 20:26:30 2011  10+ relations: 547705
Sat May 14 20:26:30 2011  heaviest cycle: 18 relations
Sat May 14 20:26:38 2011  RelProcTime: 7071
Sat May 14 20:26:40 2011
Sat May 14 20:26:40 2011  commencing linear algebra
Sat May 14 20:26:42 2011  read 5851777 cycles
Sat May 14 20:26:54 2011  cycles contain 15880120 unique relations
Sat May 14 20:42:11 2011  read 15880120 relations
Sat May 14 20:42:45 2011  using 20 quadratic characters above 1073738564
Sat May 14 20:44:28 2011  building initial matrix
Sat May 14 20:49:24 2011  memory use: 2270.4 MB
Sat May 14 20:49:29 2011  read 5851777 cycles
Sat May 14 20:49:31 2011  matrix is 5851598 x 5851777 (1772.2 MB) with weight 563425751 (96.28/col)
Sat May 14 20:49:31 2011  sparse part has weight 394346489 (67.39/col)
Sat May 14 20:50:56 2011  filtering completed in 2 passes
Sat May 14 20:50:58 2011  matrix is 5850420 x 5850599 (1772.1 MB) with weight 563382956 (96.29/col)
Sat May 14 20:50:58 2011  sparse part has weight 394336753 (67.40/col)
Sat May 14 20:51:16 2011  matrix starts at (0, 0)
Sat May 14 20:51:18 2011  matrix is 5850420 x 5850599 (1772.1 MB) with weight 563382956 (96.29/col)
Sat May 14 20:51:18 2011  sparse part has weight 394336753 (67.40/col)
Sat May 14 20:51:18 2011  saving the first 48 matrix rows for later
Sat May 14 20:51:19 2011  matrix includes 64 packed rows
Sat May 14 20:51:21 2011  matrix is 5850372 x 5850599 (1723.3 MB) with weight 448503836 (76.66/col)
Sat May 14 20:51:21 2011  sparse part has weight 393255320 (67.22/col)
Sat May 14 20:51:21 2011  using block size 262144 for processor cache size 12288 kB
Sat May 14 20:51:39 2011  commencing Lanczos iteration (8 threads)
Sat May 14 20:51:39 2011  memory use: 2223.3 MB
Sat May 14 20:52:30 2011  linear algebra at 0.0%, ETA 51h10m
Sat May 14 20:52:47 2011  checkpointing every 120000 dimensions
Mon May 16 19:17:12 2011  lanczos halted after 92516 iterations (dim = 5850370)
Mon May 16 19:17:40 2011  recovered 30 nontrivial dependencies
Mon May 16 19:17:40 2011  BLanczosTime: 168660
Mon May 16 19:17:40 2011
Mon May 16 19:17:40 2011  commencing square root phase
Mon May 16 19:17:40 2011  reading relations for dependency 1
Mon May 16 19:17:41 2011  read 2923881 cycles
Mon May 16 19:17:48 2011  cycles contain 7938236 unique relations
Mon May 16 19:33:32 2011  read 7938236 relations
Mon May 16 19:34:36 2011  multiplying 7938236 relations
Mon May 16 19:52:23 2011  multiply complete, coefficients have about 405.04 million bits
Mon May 16 19:52:27 2011  initial square root is modulo 18522817
Mon May 16 20:13:30 2011  reading relations for dependency 2
Mon May 16 20:13:32 2011  read 2924241 cycles
Mon May 16 20:13:37 2011  cycles contain 7940098 unique relations
Mon May 16 20:29:01 2011  read 7940098 relations
Mon May 16 20:30:06 2011  multiplying 7940098 relations
Mon May 16 20:47:56 2011  multiply complete, coefficients have about 405.13 million bits
Mon May 16 20:48:00 2011  initial square root is modulo 18592531
Mon May 16 21:09:37 2011  sqrtTime: 6717
Mon May 16 21:09:37 2011  prp67 factor: 6210856802903145951099004059127414098533161933971815459634831505127
Mon May 16 21:09:37 2011  prp94 factor: 2848439737864510080570018928548703462607656271453082114401913266104430196444477041412100104887
Mon May 16 21:09:37 2011  elapsed time 50:40:52

ggnfs-lasieve4I14e on the RSALS grid + msieve 1.48

122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807017543859649122807<240>

4237268970280803157704214532105526028504049296549<49>

28982587228990858022040678617213308444838638462082372718094972013797778648979575352047006824744063197383436156261069071331015734659591674563103534933678254093846772586405044795735626533268843<191>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2332715483
Step 1 took 214378ms
********** Factor found in step 1: 4237268970280803157704214532105526028504049296549
Found probable prime factor of 49 digits: 4237268970280803157704214532105526028504049296549
Composite cofactor 28982587228990858022040678617213308444838638462082372718094972013797778648979575352047006824744063197383436156261069071331015734659591674563103534933678254093846772586405044795735626533268843 has 191 digits

GMP-ECM 6.3

28982587228990858022040678617213308444838638462082372718094972013797778648979575352047006824744063197383436156261069071331015734659591674563103534933678254093846772586405044795735626533268843<191>

2170171862559909130781491920986371850645749237727943137460302322681982589<73>
13354973276081157918644152044280042651673160357058939667404965745635002591498035660710399806176305267484308260154132487<119>

Number: 23333_240
N = 28982587228990858022040678617213308444838638462082372718094972013797778648979575352047006824744063197383436156261069071331015734659591674563103534933678254093846772586405044795735626533268843 (191 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=2170171862559909130781491920986371850645749237727943137460302322681982589 (pp73)
r2=13354973276081157918644152044280042651673160357058939667404965745635002591498035660710399806176305267484308260154132487 (pp119)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 57.95 hours.
Factorization parameters were as follows:
n: 28982587228990858022040678617213308444838638462082372718094972013797778648979575352047006824744063197383436156261069071331015734659591674563103534933678254093846772586405044795735626533268843 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 50423371
Relations: 14294154 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.19 hours.
Total relation processing time: 0.48 hours.
Pruned matrix : 10720532 x 10720757
Matrix solve time: 41.86 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 57.95 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

272543503140909541635668325874134698122191287967610343123621367901004323574527342972203610279240833736110914628565333797875340551382411537992209988698912512240969428062758139004578379770943608157682815685062146297<213>

2138350360361727891246766388804683<34>

127455027105476533533075865114734029794913444935483318869350138217708788513878400664839282711103198390781195890648530427882752487066848110661838182859983445280078720144878316490059<180>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=500326921
Step 1 took 8454ms
Step 2 took 3636ms
********** Factor found in step 2: 2138350360361727891246766388804683
Found probable prime factor of 34 digits: 2138350360361727891246766388804683
Composite cofactor 127455027105476533533075865114734029794913444935483318869350138217708788513878400664839282711103198390781195890648530427882752487066848110661838182859983445280078720144878316490059 has 180 digits

4981972663177744236334761655464992141210420670118251332784988237628129907456593016499078584347751223735833038930710073438885330133662825215554092737672724522298904558677326551039408908558479793279337170749815985588864270622402041347<232>

21803945273133243598921232876133653158948879<44>

228489505030840272205297116677786075359083035922347009137989775737969117136848164550568272991704090875941671186481220069733134419686156408960126831319997215981246523933681375728839551436493<189>

GMP-ECM 6.3 [configured with GMP 5.0.1 and --enable-asm-redc] [ECM]
Input number is 4981972663177744236334761655464992141210420670118251332784988237628129907456593016499078584347751223735833038930710073438885330133662825215554092737672724522298904558677326551039408908558479793279337170749815985588864270622402041347 (232 digits)
[Fri May 20 21:14:19 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3093450165
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 586610ms
Using 28 small primes for NTT
Estimated memory usage: 834M
Initializing tables of differences for F took 390ms
Computing roots of F took 17395ms
Building F from its roots took 12621ms
Computing 1/F took 5866ms
Initializing table of differences for G took 312ms
Computing roots of G took 14773ms
Building G from its roots took 12371ms
Computing roots of G took 14570ms
Building G from its roots took 12340ms
Computing G * H took 3338ms
Reducing  G * H mod F took 3292ms
Computing roots of G took 14742ms
Building G from its roots took 12309ms
Computing G * H took 3276ms
Reducing  G * H mod F took 3260ms
Computing roots of G took 14618ms
Building G from its roots took 12386ms
Computing G * H took 3276ms
Reducing  G * H mod F took 3276ms
Computing polyeval(F,G) took 23057ms
Computing product of all F(g_i) took 109ms
Step 2 took 188215ms
********** Factor found in step 2: 21803945273133243598921232876133653158948879
Found probable prime factor of 44 digits: 21803945273133243598921232876133653158948879
Composite cofactor 228489505030840272205297116677786075359083035922347009137989775737969117136848164550568272991704090875941671186481220069733134419686156408960126831319997215981246523933681375728839551436493 has 189 digits

GMP-ECM

23333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<245>

36185158577176398884065552476449<32>

644831589823423140293131053278356851933180890947793922937828698370266817447413236226710060703115916848342215996575114378041172123286299871306701732826881872065690046946898949063276384316572681135780712040470651317<213>

********** Factor found in step 2: 36185158577176398884065552476449
Found probable prime factor of 32 digits: 36185158577176398884065552476449
Composite cofactor 644831589823423140293131053278356851933180890947793922937828698370266817447413236226710060703115916848342215996575114378041172123286299871306701732826881872065690046946898949063276384316572681135780712040470651317 has 213 digits

4244663756660891509156704310096489462556472575550382828243054186371177505030098392029867931354709669480180992450943508254812751215627768045890457573041771884363205216736908112886905881961<187>

389857307078245606494848516111533427125592768708202263599808898905296318747881017997305520529572820486730527250992536900581161782769817387038489133643757092704844415432782759165645921622226924128006919984568510270394541<219>

29322075140247999457194921237568736895761<41>

13295692928060216472989340734738265012449947304651551792851697486552804936056782931266639762766614448830122117550976931746020174652209449885230962139797398500974297517464969173981<179>

********** Factor found in step 2: 29322075140247999457194921237568736895761
Found probable prime factor of 41 digits: 29322075140247999457194921237568736895761
Composite cofactor 13295692928060216472989340734738265012449947304651551792851697486552804936056782931266639762766614448830122117550976931746020174652209449885230962139797398500974297517464969173981 has 179 digits

13520019528848766107380955188198421568070596951753872465518339939182765524936112441758643582377980569678209535452949565064620041661968181941476006408647764151573622593061306788325386722321540637880288552189139746867210112305357<227>

155014586685676932147671830380366975990824437092154729707828514987609200839844642913275985583012780876339918556527156696521626089056682100588083318672155307411334918579587449604923846070684557694410506764966489<210>

1750721036673636713444288727362126996107<40>

88543282132602950327658464630672851587725764310542880294238849992497367529026661184980768938972187390082398797910010391149584729584193706401202078661152616738229930198827<170>

********** Factor found in step 2: 1750721036673636713444288727362126996107
Found probable prime factor of 40 digits: 1750721036673636713444288727362126996107
Composite cofactor 88543282132602950327658464630672851587725764310542880294238849992497367529026661184980768938972187390082398797910010391149584729584193706401202078661152616738229930198827 has 170 digits

88543282132602950327658464630672851587725764310542880294238849992497367529026661184980768938972187390082398797910010391149584729584193706401202078661152616738229930198827<170>

255516338328826312813798163295353286352483483813920538427478286205786711<72>
346526890263493799412083557280192202187736534814463689904727215866468315194565168959136197306113357<99>

Info:Lattice Sieving: Found 24463 relations in '/home/mehrati2019/Documents/Dev/cado-nfs/23333_249/c170.upload/c170.98540000-98550000.u1w04hg_.gz', total is now 283685332/315000000
Info:Lattice Sieving: Marking workunit c170_sieving_98540000-98550000 as ok (90.1% => ETA Thu Oct 17 20:13:32 2024)
^CInfo:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 17265.1
Info:Polynomial Selection (root optimized): Rootsieve time: 17360.5
Info:Generate Factor Base: Total cpu/real time for makefb: 18.03/1.1637
Info:Generate Free Relations: Total cpu/real time for freerel: 1864.33/90.6318
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 469494
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 449307/52.030/64.821/82.020/2.679
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 386969/49.300/56.076/69.160/1.483
Info:Polynomial Selection (size optimized): Total time: 1.07828e+06
Info:Client Launcher: Stopped client localhost (Host localhost, PID 56943)
Info:Client Launcher: Stopped client localhost+2 (Host localhost, PID 56945)
Info:Client Launcher: Stopped client localhost+3 (Host localhost, PID 56947)
Info:Client Launcher: Stopped client localhost+4 (Host localhost, PID 56949)
Info:Client Launcher: Stopped client localhost+5 (Host localhost, PID 56951)
Info:Client Launcher: Stopped client localhost+6 (Host localhost, PID 56953)
Info:Client Launcher: Stopped client localhost+7 (Host localhost, PID 56955)
Info:Client Launcher: Stopped client localhost+8 (Host localhost, PID 56957)
Info:Client Launcher: Stopped client localhost+9 (Host localhost, PID 56959)
Info:Client Launcher: Stopped client localhost+10 (Host localhost, PID 56961)
Info:Client Launcher: Stopped client localhost+11 (Host localhost, PID 56963)
Info:Client Launcher: Stopped client localhost+12 (Host localhost, PID 56965)
Info:Client Launcher: Stopped client localhost+13 (Host localhost, PID 56967)
Info:Client Launcher: Stopped client localhost+14 (Host localhost, PID 56969)
Info:Client Launcher: Stopped client localhost+15 (Host localhost, PID 56971)
Info:Client Launcher: Stopped client localhost+16 (Host localhost, PID 56973)
Info:HTTP server: Shutting down HTTP server
Critical:Complete Factorization / Discrete logarithm: Received KeyboardInterrupt. Terminating
Error occurred, terminating

sed '/^#/ d' nfs.dat.raw |../../remdump/remdups4 300 >nfs.dat
Expecting approx. 300 million relations.
Found 203958207 unique, 79727125 duplicate, and 0 bad relations.
Bloom Filter with 18 hash functions: 2921196140/7714285696 bits set.


../yafu "nfs(88543282132602950327658464630672851587725764310542880294238849992497367529026661184980768938972187390082398797910010391149584729584193706401202078661152616738229930198827)" -v -R -nc


YAFU Version 2.11
Built with GCC 11
Using GMP-ECM 7.0.5, Powered by GMP 6.2.1
Detected Intel(R) Core(TM) i9-14900K
Detected L1 = 49152 bytes, L2 = 37748736 bytes, CL = 64 bytes
CPU features enabled: SSE41 AVX2 BMI2 
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991
Parsed yafu.ini from /home/mehrati2019/Documents/Math/yafu/23333_249

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

>> nfs: checking for job file - job file found, testing for matching input
nfs: number in job file matches input
nfs: checking for data file
nfs: previous data file found
nfs: user specified post processing only, skipping search for last special-q
nfs: commencing nfs on c170: 88543282132602950327658464630672851587725764310542880294238849992497367529026661184980768938972187390082398797910010391149584729584193706401202078661152616738229930198827
nfs: resumesieve; last_spq = 0, nfs_phases = 28
nfs: resuming with filtering
nfs: found 0 relations, need at least 0, proceeding with filtering ...
Elapsed time is now 0.0002 seconds.
nfs: commencing msieve filtering
88543282132602950327658464630672851587725764310542880294238849992497367529026661184980768938972187390082398797910010391149584729584193706401202078661152616738229930198827

commencing relation filtering
estimated available RAM is 64038.1 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
read 40M relations
read 50M relations
read 60M relations
read 70M relations
read 80M relations
read 90M relations
read 100M relations
read 110M relations
read 120M relations
read 130M relations
read 140M relations
read 150M relations
read 160M relations
read 170M relations
read 180M relations
read 190M relations
read 200M relations
found 9101874 hash collisions in 203958207 relations
added 121678 free relations
commencing duplicate removal, pass 2
found 12 duplicates and 204079873 unique relations
memory use: 522.4 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 6024.0 MB
reading all ideals from disk
memory use: 7889.4 MB
keeping 218675666 ideals with weight <= 200, target excess is 1013872
commencing in-memory singleton removal
begin with 204079873 relations and 218675666 unique ideals
reduce to 84228805 relations and 80464478 ideals in 22 passes
max relations containing the same ideal: 114
removing 5321285 relations and 4921285 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 78907520 relations and 80464478 unique ideals
reduce to 78588034 relations and 75221196 ideals in 12 passes
max relations containing the same ideal: 110
removing 3889248 relations and 3489248 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 74698786 relations and 75221196 unique ideals
reduce to 74511971 relations and 71543964 ideals in 10 passes
max relations containing the same ideal: 105
removing 3442544 relations and 3042544 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 71069427 relations and 71543964 unique ideals
reduce to 70915116 relations and 68346155 ideals in 9 passes
max relations containing the same ideal: 103
removing 3200629 relations and 2800629 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 67714487 relations and 68346155 unique ideals
reduce to 67573048 relations and 65403203 ideals in 8 passes
max relations containing the same ideal: 101
removing 3043344 relations and 2643345 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 64529704 relations and 65403203 unique ideals
reduce to 64395713 relations and 62625006 ideals in 8 passes
max relations containing the same ideal: 99
removing 2939720 relations and 2539720 ideals in 400000 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 61455993 relations and 62625006 unique ideals
reduce to 61323977 relations and 59952446 ideals in 9 passes
max relations containing the same ideal: 95
removing 1589648 relations and 1394209 ideals in 195439 cliques
checking relations array at location 1
commencing in-memory singleton removal
begin with 59734329 relations and 59952446 unique ideals
reduce to 59695915 relations and 58519709 ideals in 8 passes
max relations containing the same ideal: 94
relations with 0 large ideals: 3583
relations with 1 large ideals: 24816
relations with 2 large ideals: 352028
relations with 3 large ideals: 2168052
relations with 4 large ideals: 7255132
relations with 5 large ideals: 14356996
relations with 6 large ideals: 17201715
relations with 7+ large ideals: 18333593
commencing 2-way merge
reduce to 34542470 relation sets and 33366264 unique ideals
commencing full merge
memory use: 3570.6 MB
found 16342329 cycles, need 16210464
weight of 16210464 cycles is about 1459321771 (90.02/cycle)
distribution of cycle lengths:
1 relations: 1915938
2 relations: 1684979
3 relations: 1664419
4 relations: 1500139
5 relations: 1377600
6 relations: 1188314
7 relations: 1030226
8 relations: 929581
9 relations: 807235
10+ relations: 4112033
heaviest cycle: 26 relations
commencing cycle optimization
start with 108793148 relations
pruned 2496037 relations
memory use: 3523.0 MB
distribution of cycle lengths:
1 relations: 1915938
2 relations: 1724834
3 relations: 1720165
4 relations: 1533716
5 relations: 1405826
6 relations: 1202763
7 relations: 1042938
8 relations: 929912
9 relations: 804668
10+ relations: 3929704
heaviest cycle: 25 relations
RelProcTime: 1746
Elapsed time is now 1747.1141 seconds.
nfs: commencing msieve linear algebra

commencing linear algebra
read 16210464 cycles
cycles contain 58595104 unique relations
read 58595104 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 7755.1 MB
read 16210464 cycles
matrix is 16210282 x 16210464 (6115.1 MB) with weight 1901658386 (117.31/col)
sparse part has weight 1408522028 (86.89/col)
filtering completed in 2 passes
matrix is 16193016 x 16193197 (6113.7 MB) with weight 1900913782 (117.39/col)
sparse part has weight 1408339525 (86.97/col)
matrix starts at (0, 0)
matrix is 16193016 x 16193197 (6113.7 MB) with weight 1900913782 (117.39/col)
sparse part has weight 1408339525 (86.97/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 16192968 x 16193197 (5957.5 MB) with weight 1575371476 (97.29/col)
sparse part has weight 1399790605 (86.44/col)
using block size 8192 and superblock size 3538944 for processor cache size 36864 kB
commencing Lanczos iteration (32 threads)
memory use: 5712.2 MB
VBITS = 64
linear algebra at 0.0%, ETA 32h32m6193197 dimensions (0.0%, ETA 32h32m)    
checkpointing every 490000 dimensions3197 dimensions (0.0%, ETA 33h19m)    
linear algebra completed 16192801 of 16193197 dimensions (100.0%, ETA 0h 0m)     m)        
lanczos halted after 256064 iterations (dim = 16192968)
recovered 31 nontrivial dependencies
BLanczosTime: 147266
Elapsed time is now 149013.7408 seconds.
nfs: commencing msieve sqrt

commencing square root phase
reading relations for dependency 1
read 8097126 cycles
cycles contain 29292606 unique relations
read 29292606 relations
multiplying 29292606 relations
multiply complete, coefficients have about 1667.74 million bits
initial square root is modulo 30270901
sqrtTime: 1727
NFS elapsed time = 150742.7003 seconds.


***factors found***

P72 = 255516338328826312813798163295353286352483483813920538427478286205786711
P99 = 346526890263493799412083557280192202187736534814463689904727215866468315194565168959136197306113357

ans = 1

cado-nfs, yafu 2.11

ubuntu

426432777826473968278746592798646883056786508875770318132026273620755487481881127977075979295563549581404746609114955545676258730488837658007612651226723229842161169430766103432522742416969573347099058165224797933<213>

2655965056704608890131173743751597312441945496714602479174877609799056137643410147587230410404081150133085658841393632288028480334628516737866229314724590398436910990087794500537802461596148816535001<199>

2602958552406933565192946520232486602486904932109238870332587841906733965586712761093308330547615646879346293121530871930916202363288609463868718728324508558364401209756641798605918855600518298009076178230613120813<214>

2274933400988073697741855161600091047721551553870776677643035086305118597998630604219026138699780885783617354261959524361880833428579355519242698284281075556491596628311323<172>

172802223906125594880064450932949<33>
13164954417623270647994132554421581308802064811999590284594769500261021798047609739776270744671041443987565461791348062588785197846750113327<140>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 2274933400988073697741855161600091047721551553870776677643035086305118597998630604219026138699780885783617354261959524361880833428579355519242698284281075556491596628311323 (172 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2346193856
Step 1 took 4431ms
Step 2 took 2589ms
********** Factor found in step 2: 172802223906125594880064450932949
Found probable prime factor of 33 digits: 172802223906125594880064450932949
Probable prime cofactor 13164954417623270647994132554421581308802064811999590284594769500261021798047609739776270744671041443987565461791348062588785197846750113327 has 140 digits

1067541089375691664327534691434983306013017745360747589256053330897224393193992157100980952188014649160153372957792518138650152044828456884564668100503946598063775221882526701475371595932224728664876728224242338791999274990505308935927123<238>

220108139006559060533686385417592140413011856754906449251744863653852080469378569840053812584874803442049548724772929918074033431513022254307415370288442314384147269048868734575065881462352325586693756493445817219736879122298215700969496395621209<246>

12096630644825786837182160069871227794169359429302778559794337401063693798242354545724721876171906821435814913057719393966679141475251759168572432689917242706720863501176315162693355205949242986102888589108409665530407931062486179602253<236>

344648134423158018761358119229021397<36>

35098494483575464389445698428236979015025734442649057880146898767204040017545476293745158605741709461590860677954561509897603691850215920312489206817303766428208411723620060031084890677317390673335449<200>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=945457842
Step 1 took 21326ms
Step 2 took 12517ms
********** Factor found in step 2: 344648134423158018761358119229021397
Found probable prime factor of 36 digits: 344648134423158018761358119229021397
Composite cofactor 

311900291666431105496849617190065742318168201850034194672884269924090864186921471241062075009756666163207236861899033880217624806349458654115999780472886706746480145289586136594254267<183>

271753964815049547523443740697990984799515215328891966448118244789476841291732636438158689443658878356279541869010757948004125398192014438399243417908227740138632197519409865495825872748667360694615886854846025133455654965440900821796688681051<243>

545542748323993436924630532991840245911269327463930206932053485656074718807214407200930812914680363095002058128389158023765819778666907869725374188813667859264769839717204450335822724262043123<192>

2077363093367195737059063391844424978905745258143059091684232738954139668191976532633349354735650392208589696975308741968057028212592986389082309318381192059280208585247385887300638759716434685119356623747576855203627016192893594519780330581<241>

11762398932997681466022546873518288857<38>

176610494610878984246367213147751151980390375987249118184648726930146556751895360631216941210007255855865841230789901071854561066397106737713687403238224692448259078262069420056853762682216630550124211933<204>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1714659123
Step 1 took 22722ms
Step 2 took 15894ms
********** Factor found in step 2: 11762398932997681466022546873518288857
Found probable prime factor of 38 digits: 11762398932997681466022546873518288857
Composite cofactor