65940051000030738545247293216202617681607788234480562412439808682699789743613225459<83>

12822267021097215694147656898556444011<38>
5142620325371150694942191036291131937653071769<46>

prp38 = 12822267021097215694147656898556444011
prp46 = 5142620325371150694942191036291131937653071769

Yafu

4557421611018153175716128474131630228597628908293501975717721274684127305799084052923141940419726147735490983631<112>

2849228010984626773411330865874550048882748461<46>
1599528571756254256088312648232142333817014630667342986713370148971<67>

N=4557421611018153175716128474131630228597628908293501975717721274684127305799084052923141940419726147735490983631
  ( 112 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=2849228010984626773411330865874550048882748461 (pp46)
 r2=1599528571756254256088312648232142333817014630667342986713370148971 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.53 hours.
Scaled time: 12.07 units (timescale=7.874).
Factorization parameters were as follows:
n: 4557421611018153175716128474131630228597628908293501975717721274684127305799084052923141940419726147735490983631
m: 10000000000000000000000000000000
deg: 4
c4: 391
c0: -4
skew: 0.32
# Murphy_E = 1.713e-08
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 825001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 143336 x 143584
Total sieving time: 1.51 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126.000,4,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,75000
total time: 1.53 hours.

GNFS, Msieve

32552051339731648617562731134846807974663703314855244780161491334385327576315694015697654974227639065535951009<110>

10657138823347429733421871028172861964788601<44>
3054483185338387173483761214825388997036077737048644773465359893609<67>

N=32552051339731648617562731134846807974663703314855244780161491334385327576315694015697654974227639065535951009
  ( 110 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=10657138823347429733421871028172861964788601 (pp44)
 r2=3054483185338387173483761214825388997036077737048644773465359893609 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.47 hours.
Scaled time: 11.60 units (timescale=7.893).
Factorization parameters were as follows:
n: 32552051339731648617562731134846807974663703314855244780161491334385327576315694015697654974227639065535951009
m: 10000000000000000000000000000000
deg: 4
c4: 1955
c0: -2
skew: 0.18
# Murphy_E = 2.159e-08
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 765001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 106867 x 107097
Total sieving time: 1.45 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,75000
total time: 1.47 hours.

GNFS, Msieve

19881451631146372731381965588609640892380143212936349907934889271217188839618599258308822634908689<98>

30000738190417374627056733195036567990144693331<47>
662698747776038609824553033006167244537765002113419<51>

N=19881451631146372731381965588609640892380143212936349907934889271217188839618599258308822634908689
  ( 98 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=30000738190417374627056733195036567990144693331 (pp47)
 r2=662698747776038609824553033006167244537765002113419 (pp51)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.08 hours.
Scaled time: 16.38 units (timescale=7.868).
Factorization parameters were as follows:
n: 19881451631146372731381965588609640892380143212936349907934889271217188839618599258308822634908689
m: 100000000000000000000000000000000
deg: 4
c4: 1955
c0: -2
skew: 0.18
# Murphy_E = 1.381e-08
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 1040001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 128288 x 128525
Total sieving time: 2.06 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,100000
total time: 2.08 hours.

GNFS, Msieve

1680108187251123648622290645335506694043311635928245710961107531205767782270648272853057<88>

6325437050065326776563873978811917253929<40>
265611399489585010110094551395321033925982604633<48>

1680108187251123648622290645335506694043311635928245710961107531205767782270648272853057 = 6325437050065326776563873978811917253929 * 265611399489585010110094551395321033925982604633

Dario Alpern's calculator, SIQS

Windows 10 Business
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

184399169967930579136012073193737030748915299000188643652141105451801546877947557064704772684399169967930579136012073193737030748915299<135>

287991485754948963932979583657280169701257<42>
640293824952989215549439855631622683769177536738726783254007276783530932499464805706102554507<93>

N=184399169967930579136012073193737030748915299000188643652141105451801546877947557064704772684399169967930579136012073193737030748915299
  ( 135 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=287991485754948963932979583657280169701257 (pp42)
 r2=640293824952989215549439855631622683769177536738726783254007276783530932499464805706102554507 (pp93)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.00 hours.
Scaled time: 39.37 units (timescale=7.868).
Factorization parameters were as follows:
n: 184399169967930579136012073193737030748915299000188643652141105451801546877947557064704772684399169967930579136012073193737030748915299
m: 10000000000000000000000000000000000
deg: 4
c4: 391
c0: -4
skew: 0.32
# Murphy_E = 4.424e-09
type: snfs
lss: 1
rlim: 1430000
alim: 1430000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1430000/1430000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [715000, 1215001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 207250 x 207475
Total sieving time: 4.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1430000,1430000,26,26,48,48,2.3,2.3,100000
total time: 5.00 hours.

GNFS, Msieve

114892985077811187082842340284138550771839337037466134191957909485617169319135310344965445154482175087<102>

78096533549095062163040103325470044867<38>
1471166258686554738827925031906655452816706820341471618219154661<64>

N=114892985077811187082842340284138550771839337037466134191957909485617169319135310344965445154482175087
  ( 102 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=78096533549095062163040103325470044867 (pp38)
 r2=1471166258686554738827925031906655452816706820341471618219154661 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.25 hours.
Scaled time: 33.24 units (timescale=7.831).
Factorization parameters were as follows:
n: 114892985077811187082842340284138550771839337037466134191957909485617169319135310344965445154482175087
m: 10000000000000000000000000000000000
deg: 4
c4: 1955
c0: -2
skew: 0.18
# Murphy_E = 5.566e-09
type: snfs
lss: 1
rlim: 1470000
alim: 1470000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1470000/1470000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [735000, 1135001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 187448 x 187676
Total sieving time: 4.21 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1470000,1470000,26,26,48,48,2.3,2.3,100000
total time: 4.25 hours.

GNFS, Msieve

9378516980329306673437544979518849138736720763949288275426588908648526994961581432464217495946321612357580744915065476571652752323<130>

8054693728159335678711395089915060983142135868821<49>
1164354263097784106915002648609271864072444517776467169864068919593608410631644663<82>

N=9378516980329306673437544979518849138736720763949288275426588908648526994961581432464217495946321612357580744915065476571652752323
  ( 130 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=8054693728159335678711395089915060983142135868821 (pp49)
 r2=1164354263097784106915002648609271864072444517776467169864068919593608410631644663 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.72 hours.
Scaled time: 52.05 units (timescale=7.746).
Factorization parameters were as follows:
n: 9378516980329306673437544979518849138736720763949288275426588908648526994961581432464217495946321612357580744915065476571652752323
m: 100000000000000000000000000000000000
deg: 4
c4: 391
c0: -4
skew: 0.32
# Murphy_E = 2.791e-09
type: snfs
lss: 1
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [835000, 1535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 301624 x 301851
Total sieving time: 6.67 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,142.000,4,0,0,0,0,0,0,0,0,1670000,1670000,26,26,48,48,2.3,2.3,100000
total time: 6.72 hours.

GNFS, Msieve

40375877736472532011565468814539446509706732755059892606361007847996695580338703015282940933498554316398182569186286658405617513424204874019<140>

6072359221422789745069614346690207526553151<43>
6649125366962764206457570470650804689481464777191365544556449794651980802637121064254053330416669<97>

N=40375877736472532011565468814539446509706732755059892606361007847996695580338703015282940933498554316398182569186286658405617513424204874019
  ( 140 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=6072359221422789745069614346690207526553151 (pp43)
 r2=6649125366962764206457570470650804689481464777191365544556449794651980802637121064254053330416669 (pp97)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.09 hours.
Scaled time: 47.83 units (timescale=7.849).
Factorization parameters were as follows:
n: 40375877736472532011565468814539446509706732755059892606361007847996695580338703015282940933498554316398182569186286658405617513424204874019
m: 100000000000000000000000000000000000
deg: 4
c4: 1955
c0: -2
skew: 0.18
# Murphy_E = 3.509e-09
type: snfs
lss: 1
rlim: 1710000
alim: 1710000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1710000/1710000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [855000, 1455001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 226929 x 227154
Total sieving time: 6.06 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,143.000,4,0,0,0,0,0,0,0,0,1710000,1710000,26,26,48,48,2.3,2.3,100000
total time: 6.09 hours.

GNFS, Msieve

1339594820186301016240259664398822992956313229963102404013381335796615140787270402149340087960687247041898377681220397837243<124>

312540015765322430861552430407787690252562441<45>
4286154580577500687661735534219050122684811528806697398280339474585180876777123<79>

N=1339594820186301016240259664398822992956313229963102404013381335796615140787270402149340087960687247041898377681220397837243
  ( 124 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=312540015765322430861552430407787690252562441 (pp45)
 r2=4286154580577500687661735534219050122684811528806697398280339474585180876777123 (pp79)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.45 hours.
Scaled time: 82.30 units (timescale=7.874).
Factorization parameters were as follows:
n: 1339594820186301016240259664398822992956313229963102404013381335796615140787270402149340087960687247041898377681220397837243
m: 1000000000000000000000000000000000000
deg: 4
c4: 391
c0: -4
skew: 0.32
# Murphy_E = 1.753e-09
type: snfs
lss: 1
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [970000, 2070001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 298837 x 299064
Total sieving time: 10.40 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1940000,1940000,26,26,49,49,2.3,2.3,100000
total time: 10.45 hours.

GNFS, Msieve

12714708336882720583897908657457263588989242082024319965693830837823056187421278558031626311873364054410002608368759892677195589818540235197<140>

223233597698504005936580105599066933027<39>
431135158273826663134440935554413734691391<42>
132109303709370652739666748489925278359824081291627256975521<60>

N=12714708336882720583897908657457263588989242082024319965693830837823056187421278558031626311873364054410002608368759892677195589818540235197
  ( 140 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=223233597698504005936580105599066933027 (pp39)
 r2=431135158273826663134440935554413734691391 (pp42)
 r3=132109303709370652739666748489925278359824081291627256975521 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.99 hours.
Scaled time: 62.93 units (timescale=7.880).
Factorization parameters were as follows:
n: 12714708336882720583897908657457263588989242082024319965693830837823056187421278558031626311873364054410002608368759892677195589818540235197
m: 1000000000000000000000000000000000000
deg: 4
c4: 1955
c0: -2
skew: 0.18
# Murphy_E = 2.203e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 1800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 320880 x 321128
Total sieving time: 7.92 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,147.000,4,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 7.99 hours.

GNFS, Msieve

6186757653915902181048783575248184283306553343646338719637205948875524644248475936872562891776072418758487436399965177193717095511852641263141<142>

10109041571215332446496130859004707346041530394370728817623460919<65>
612002395116485391298116271938181109887529948660737470122666138863315510276739<78>

N=6186757653915902181048783575248184283306553343646338719637205948875524644248475936872562891776072418758487436399965177193717095511852641263141
  ( 142 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=10109041571215332446496130859004707346041530394370728817623460919 (pp65)
 r2=612002395116485391298116271938181109887529948660737470122666138863315510276739 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.86 hours.
Scaled time: 93.82 units (timescale=7.911).
Factorization parameters were as follows:
n: 6186757653915902181048783575248184283306553343646338719637205948875524644248475936872562891776072418758487436399965177193717095511852641263141
m: 10000000000000000000000000000000000000
deg: 4
c4: 1955
c0: -2
skew: 0.18
# Murphy_E = 1.377e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 359997 x 360230
Total sieving time: 11.79 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151.000,4,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 11.86 hours.

GNFS, Msieve

7640007534493363940258658219280330829911938654842826873130542913394750396459726022686328255366177159073945112310064723173803723321523562095870956951<148>

4639480984743058164140209172964308477<37>
106633978066679525057469293062394405074234542050411<51>
15442897062408396799307875983806931934053083485058259882792233<62>

N=7640007534493363940258658219280330829911938654842826873130542913394750396459726022686328255366177159073945112310064723173803723321523562095870956951
  ( 148 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=4639480984743058164140209172964308477 (pp37)
 r2=106633978066679525057469293062394405074234542050411 (pp51)
 r3=15442897062408396799307875983806931934053083485058259882792233 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.32 hours.
Scaled time: 89.31 units (timescale=7.886).
Factorization parameters were as follows:
n: 7640007534493363940258658219280330829911938654842826873130542913394750396459726022686328255366177159073945112310064723173803723321523562095870956951
m: 1000000000000000000000000000000
deg: 5
c5: 9775
c0: -1
skew: 0.16
# Murphy_E = 8.966e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 437536 x 437767
Total sieving time: 11.23 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 11.32 hours.

GNFS, Msieve

10436088877253479432097904609656827919240435813063377860198862557937368601220759<80>

2119008906541323402263141120269085147<37>
4924985848354650254862469623678436514404597<43>

prp43 = 4924985848354650254862469623678436514404597
prp37 = 2119008906541323402263141120269085147

Yafu

545536350034171040197118670004000859368364730194104553913635792198411039364968901455262180497113894135524244751232420436706283551476623536929363<144>

7881565894157418451972553833345066034354967089126860170600096515783<67>
69216746692250016869839074432586955423961026248572291388230574938254450570261<77>

N=545536350034171040197118670004000859368364730194104553913635792198411039364968901455262180497113894135524244751232420436706283551476623536929363
  ( 144 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=7881565894157418451972553833345066034354967089126860170600096515783 (pp67)
 r2=69216746692250016869839074432586955423961026248572291388230574938254450570261 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.51 hours.
Scaled time: 122.33 units (timescale=7.886).
Factorization parameters were as follows:
n: 545536350034171040197118670004000859368364730194104553913635792198411039364968901455262180497113894135524244751232420436706283551476623536929363
m: 10000000000000000000000000000000
deg: 5
c5: 9775
c0: -1
skew: 0.16
# Murphy_E = 5.762e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 473386 x 473611
Total sieving time: 15.42 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 15.51 hours.

GNFS, Msieve

5645211383448398856140151080686541598176582011666076292572112323931794904881063078109405607314859498863672133<109>

24721678803486174934099702525550291623<38>
228350648365042609874234120214683979997250645995364119317417695464760371<72>

prp38 = 24721678803486174934099702525550291623
prp72 = 228350648365042609874234120214683979997250645995364119317417695464760371

GNFS, Yafu

2680514854601952351175753312392263452309127983120413676764114443009779949373714903490641464976753345267296947590170507856689357459<130>

30443602369928670269614449249705340384218515362313<50>
88048543731135088730333313473861912493717016880436007250364962044426768197306043<80>

N=2680514854601952351175753312392263452309127983120413676764114443009779949373714903490641464976753345267296947590170507856689357459
  ( 130 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=30443602369928670269614449249705340384218515362313 (pp50)
 r2=88048543731135088730333313473861912493717016880436007250364962044426768197306043 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 28.07 hours.
Scaled time: 221.57 units (timescale=7.893).
Factorization parameters were as follows:
n: 2680514854601952351175753312392263452309127983120413676764114443009779949373714903490641464976753345267296947590170507856689357459
m: 500000000000000000000000000000000
deg: 5
c5: 1564
c0: -5
skew: 0.32
# Murphy_E = 2.794e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 790729 x 790955
Total sieving time: 27.92 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 28.07 hours.

GNFD, Msieve

503652433340150066026493185428218127972122567307485689229909285591620897662412064344627937609968537011073<105>

14468134345631100287085477411966631368191<41>
34811152655092430826615190176095990981854225502511650195014821503<65>

503652433340150066026493185428218127972122567307485689229909285591620897662412064344627937609968537011073=14468134345631100287085477411966631368191*34811152655092430826615190176095990981854225502511650195014821503

cado polynomial
n: 503652433340150066026493185428218127972122567307485689229909285591620897662412064344627937609968537011073
skew: 10742.601
c0: 79462840546342951415696
c1: 182016263429814152448
c2: -5107740796838001
c3: -2410759952458
c4: 80874120
c5: 3600
Y0: -233571743263939872141
Y1: 65310780348361
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.539e-06
# f(x) = 3600*x^5+80874120*x^4-2410759952458*x^3-5107740796838001*x^2+182016263429814152448*x+79462840546342951415696
# g(x) = 65310780348361*x-233571743263939872141

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 34811152655092430826615190176095990981854225502511650195014821503 14468134345631100287085477411966631368191
Info:Square Root: Total cpu/real time for sqrt: 59.65/17.7084
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 38.6/37.2777
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 28.9s
Info:Square Root: Total cpu/real time for sqrt: 59.65/17.7084
Info:Filtering - Singleton removal: Total cpu/real time for purge: 15.15/17.0022
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4625340
Info:Lattice Sieving: Average J: 1903.51 for 40424 special-q, max bucket fill -bkmult 1.0,1s:1.283410
Info:Lattice Sieving: Total time: 3947.89s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/0.416361
Info:Linear Algebra: Total cpu/real time for bwc: 569.29/148.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 336.02, WCT time 86.47, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Linear Algebra: Lingen CPU time 30.05, WCT time 7.7
Info:Linear Algebra: Mksol: CPU time 187.47,  WCT time 48.28, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3584 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.29/16.345
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.28/18.3999
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 144.64
Info:Polynomial Selection (root optimized): Rootsieve time: 144.03
Info:Filtering - Merging: Merged matrix has 221361 rows and total weight 32171699 (145.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.03/9.13153
Info:Filtering - Merging: Total cpu/real time for replay: 7.05/5.66249
Info:Quadratic Characters: Total cpu/real time for characters: 8.4/3.19923
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10748/30.390/36.947/42.240/1.038
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7297/29.590/32.843/37.490/0.888
Info:Polynomial Selection (size optimized): Total time: 496.73
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8569.11/2495.79
Info:root: Cleaning up computation data in /tmp/cado.65nrfnhy
34811152655092430826615190176095990981854225502511650195014821503 14468134345631100287085477411966631368191

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

146116212581400462656237432544004005597190237811298054528370314231092371540608471236429111127629<96>

17829627053785489544183063090811462173<38>
8195135666081016668216065777154342090834883715853975193073<58>

prp38 = 17829627053785489544183063090811462173
prp58 = 8195135666081016668216065777154342090834883715853975193073

Yafu

935017221045981203157189199307278558638588609470231873668897686505651279038842023455404387767521624143588098045219083760866410174162062261<138>

56435523131814448202544301648301065939120700975946971790250455731<65>
16567884360034984850864478442223696178704144965327549264612336936408816631<74>

N=935017221045981203157189199307278558638588609470231873668897686505651279038842023455404387767521624143588098045219083760866410174162062261
  ( 138 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=56435523131814448202544301648301065939120700975946971790250455731 (pp65)
 r2=16567884360034984850864478442223696178704144965327549264612336936408816631 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 44.82 hours.
Scaled time: 350.48 units (timescale=7.819).
Factorization parameters were as follows:
n: 935017221045981203157189199307278558638588609470231873668897686505651279038842023455404387767521624143588098045219083760866410174162062261
m: 1000000000000000000000000000000000
deg: 5
c5: 97750
c0: -1
skew: 0.10
# Murphy_E = 1.687e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 6000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 993871 x 994100
Total sieving time: 44.57 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 44.82 hours.

GNFS, Msieve

88855816412595391651084474604506980278697371870519654439026768037771622328216030004670883715624796539371069429765811428272265747112373851636013079<146>

117780617968463759804582360084179497716617526408341361883684468539046691<72>
754417984429211420980886099735934104914706541462038933454990201133950265469<75>

N=88855816412595391651084474604506980278697371870519654439026768037771622328216030004670883715624796539371069429765811428272265747112373851636013079
  ( 146 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=117780617968463759804582360084179497716617526408341361883684468539046691 (pp72)
 r2=754417984429211420980886099735934104914706541462038933454990201133950265469 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 41.93 hours.
Scaled time: 329.92 units (timescale=7.868).
Factorization parameters were as follows:
n: 88855816412595391651084474604506980278697371870519654439026768037771622328216030004670883715624796539371069429765811428272265747112373851636013079
m: 10000000000000000000000000000000000
deg: 5
c5: 1955
c0: -2
skew: 0.25
# Murphy_E = 1.896e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 907636 x 907871
Total sieving time: 41.68 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 41.93 hours.

GMP-ECM

112967325214553885545242493410901924057837727513251175912294587921446853218770166772046783763064435287604508255445510556553897623<129>

332172223325224751396336768951521771<36>
340086609541548880515121237580625788234934526143942350522526282160944098092363299104683812613<93>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3512360105
Step 1 took 4797ms
Step 2 took 2953ms
********** Factor found in step 2: 332172223325224751396336768951521771
Found prime factor of 36 digits: 332172223325224751396336768951521771
Prime cofactor 340086609541548880515121237580625788234934526143942350522526282160944098092363299104683812613 has 93 digits
 

GMP-ECM

18536719356783162562329633721539780914696539156861743101364545551656550662334090544722782248351200546613817329162976773487666549216491959171<140>

789604514999588418637252783940018962014136942096838696175581771768731<69>
23475954106965592550484301275482130183136812704846224370546866978845241<71>

Sat May 14 20:39:51 2022  Msieve v. 1.53 (SVN unknown)
Sat May 14 20:39:51 2022  random seeds: 0f930d50 fde97660
Sat May 14 20:39:51 2022  factoring 18536719356783162562329633721539780914696539156861743101364545551656550662334090544722782248351200546613817329162976773487666549216491959171 (140 digits)
Sat May 14 20:39:52 2022  searching for 15-digit factors
Sat May 14 20:39:54 2022  commencing number field sieve (140-digit input)
Sat May 14 20:39:54 2022  R0: -10000000000000000000000000000000000
Sat May 14 20:39:54 2022  R1: 1
Sat May 14 20:39:54 2022  A0: -1
Sat May 14 20:39:54 2022  A1: 0
Sat May 14 20:39:54 2022  A2: 0
Sat May 14 20:39:54 2022  A3: 0
Sat May 14 20:39:54 2022  A4: 0
Sat May 14 20:39:54 2022  A5: 97750
Sat May 14 20:39:54 2022  skew 0.10, size 1.448e-12, alpha 0.968, combined = 1.068e-10 rroots = 1
Sat May 14 20:39:54 2022  
Sat May 14 20:39:54 2022  commencing square root phase
Sat May 14 20:39:54 2022  reading relations for dependency 1
Sat May 14 20:39:55 2022  read 619597 cycles
Sat May 14 20:39:57 2022  cycles contain 2038586 unique relations
Sat May 14 20:40:42 2022  read 2038586 relations
Sat May 14 20:40:55 2022  multiplying 2038586 relations
Sat May 14 20:43:27 2022  multiply complete, coefficients have about 75.47 million bits
Sat May 14 20:43:28 2022  initial square root is modulo 261241
Sat May 14 20:46:50 2022  sqrtTime: 416
Sat May 14 20:46:50 2022  p69 factor: 789604514999588418637252783940018962014136942096838696175581771768731
Sat May 14 20:46:50 2022  p71 factor: 23475954106965592550484301275482130183136812704846224370546866978845241
Sat May 14 20:46:50 2022  elapsed time 00:06:59

15515873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<176>

591201422885591223651370424858280469944954866359<48>
26244647619658442352703825093631556299890253743059724057968332920077935694851516078062712817180050166257833242369510796373583047<128>

Number: n
N=15515873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873  ( 176 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Mar  2 07:46:57 2022  p48 factor: 591201422885591223651370424858280469944954866359
Wed Mar  2 07:46:57 2022  p128 factor: 26244647619658442352703825093631556299890253743059724057968332920077935694851516078062712817180050166257833242369510796373583047
Wed Mar  2 07:46:57 2022  elapsed time 00:22:06 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 391x10^175-4 = 434(175)
#
n: 15515873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873
m: 100000000000000000000000000000000000
deg: 5
c5: 391
c0: -4
skew: 0.40
# Murphy_E = 1.05e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5598543 hash collisions in 34972690 relations (31039766 unique)
Msieve: matrix is 913818 x 914051 (306.4 MB)

Sieving start time : 2022/03/02 05:09:05
Sieving end time  : 2022/03/02 07:24:18

Total sieving time: 2hrs 15min 13secs.

Total relation processing time: 0hrs 11min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 47sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

13850369410961992053504966393259652035633262326412503567892290709662836501309355288390961671256139800882131233426826721518200428988198953192612640271014229<155>

2589694665290275927756168057682471031436240941623777<52>
5348263483181527853608955662819627866821068266694532542765116029795431869664478143694491725289903564277<103>

Number: n
N=13850369410961992053504966393259652035633262326412503567892290709662836501309355288390961671256139800882131233426826721518200428988198953192612640271014229  ( 155 digits)
SNFS difficulty: 178 digits.
Divisors found:

Thu Mar 10 03:34:29 2022  p52 factor: 2589694665290275927756168057682471031436240941623777
Thu Mar 10 03:34:29 2022  p103 factor: 5348263483181527853608955662819627866821068266694532542765116029795431869664478143694491725289903564277
Thu Mar 10 03:34:29 2022  elapsed time 00:22:30 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 391x10^176-4 = 434(176)
#
n: 13850369410961992053504966393259652035633262326412503567892290709662836501309355288390961671256139800882131233426826721518200428988198953192612640271014229
m: 100000000000000000000000000000000000
deg: 5
c5: 1955
c0: -2
skew: 0.25
# Murphy_E = 1.196e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5689867 hash collisions in 36968525 relations (33182279 unique)
Msieve: matrix is 831972 x 832199 (279.9 MB)

Sieving start time : 2022/03/10 00:56:49
Sieving end time  : 2022/03/10 03:10:59

Total sieving time: 2hrs 14min 10secs.

Total relation processing time: 0hrs 10min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 23sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

3293779409637066066439070346218764078503540849295811921262799979370458816557395437531887850285874590989658667435750054391854970618507370381747936047954772119685138399<166>

225054567030230174080101223044285153506162607515742984311633<60>
14635470202187157812633139419712474510480506795933307895292120697200752341752784549837851920547841041939503<107>

Number: n
N=3293779409637066066439070346218764078503540849295811921262799979370458816557395437531887850285874590989658667435750054391854970618507370381747936047954772119685138399  ( 166 digits)
SNFS difficulty: 179 digits.
Divisors found:

Tue Mar  8 02:40:05 2022  p60 factor: 225054567030230174080101223044285153506162607515742984311633
Tue Mar  8 02:40:05 2022  p107 factor: 14635470202187157812633139419712474510480506795933307895292120697200752341752784549837851920547841041939503
Tue Mar  8 02:40:05 2022  elapsed time 00:35:31 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 391x10^178-4 = 434(178)
#
n: 3293779409637066066439070346218764078503540849295811921262799979370458816557395437531887850285874590989658667435750054391854970618507370381747936047954772119685138399
m: 100000000000000000000000000000000000
deg: 5
c5: 97750
c0: -1
skew: 0.10
# Murphy_E = 6.731e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 37900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6310778 hash collisions in 35982854 relations (31191735 unique)
Msieve: matrix is 1134411 x 1134636 (380.0 MB)

Sieving start time : 2022/03/07 21:44:38
Sieving end time  : 2022/03/08 02:03:38

Total sieving time: 4hrs 19min 0secs.

Total relation processing time: 0hrs 21min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 46sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

6338976862864739396012538475184669415273787398718299816456272784880573667898846248917747670814485983720706373638160512745203381<127>

182990725969305566108576337887820863254998575313143620837571<60>
34640973356912221128904909981373292089869500619702973079709441123111<68>

6338976862864739396012538475184669415273787398718299816456272784880573667898846248917747670814485983720706373638160512745203381=182990725969305566108576337887820863254998575313143620837571*34640973356912221128904909981373292089869500619702973079709441123111

cado polynomial
n: 6338976862864739396012538475184669415273787398718299816456272784880573667898846248917747670814485983720706373638160512745203381
skew: 36897.283
c0: -59643022520313546226289957580
c1: 2719253632066334077517796
c2: 54414941279631609385
c3: -6653545834198076
c4: -90586686060
c5: 1108800
Y0: -2446168372473536679541275
Y1: 614568867630131347
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.162e-07
# f(x) = 1108800*x^5-90586686060*x^4-6653545834198076*x^3+54414941279631609385*x^2+2719253632066334077517796*x-59643022520313546226289957580
# g(x) = 614568867630131347*x-2446168372473536679541275

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 182990725969305566108576337887820863254998575313143620837571 34640973356912221128904909981373292089869500619702973079709441123111
Info:Square Root: Total cpu/real time for sqrt: 312.16/92.111
Info:Filtering - Singleton removal: Total cpu/real time for purge: 117.48/137.633
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12063885
Info:Lattice Sieving: Average J: 3793.7 for 241786 special-q, max bucket fill -bkmult 1.0,1s:1.193040
Info:Lattice Sieving: Total time: 85667.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.6/2.31027
Info:Linear Algebra: Total cpu/real time for bwc: 10105/2599.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6349.49, WCT time 1625.42, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 147.87, WCT time 37.6
Info:Linear Algebra: Mksol: CPU time 3479.9,  WCT time 890.05, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 127.02/33.2149
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.85/60.2175
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.900000000000006s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3638.89
Info:Polynomial Selection (root optimized): Rootsieve time: 3636.15
Info:Filtering - Merging: Merged matrix has 818276 rows and total weight 139184986 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 169.38/49.0147
Info:Filtering - Merging: Total cpu/real time for replay: 30.66/25.1911
Info:Quadratic Characters: Total cpu/real time for characters: 30.74/12.197
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20404/37.170/45.207/48.400/0.844
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16171/37.180/40.595/46.010/1.043
Info:Polynomial Selection (size optimized): Total time: 2380.48
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 186.59/178.286
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.5s
Info:Square Root: Total cpu/real time for sqrt: 312.16/92.111
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 179956/25542.3
Info:root: Cleaning up computation data in /tmp/cado.pzf3mzsp
182990725969305566108576337887820863254998575313143620837571 34640973356912221128904909981373292089869500619702973079709441123111

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

3635504838563803727356280415194045242549515447075999775456234322204663115922190174391291596603352860851452636864434033492244996850633849294241227544286098086307<160>

786973444116976808087225888134597765358648283227327<51>
4619602943073918159359312245509688859238119235440505440563015810575864170286781181221026969876708121708531741<109>

Number: n
N=3635504838563803727356280415194045242549515447075999775456234322204663115922190174391291596603352860851452636864434033492244996850633849294241227544286098086307  ( 160 digits)
SNFS difficulty: 182 digits.
Divisors found:

Tue Mar  8 07:03:05 2022  p51 factor: 786973444116976808087225888134597765358648283227327
Tue Mar  8 07:03:05 2022  p109 factor: 4619602943073918159359312245509688859238119235440505440563015810575864170286781181221026969876708121708531741
Tue Mar  8 07:03:05 2022  elapsed time 00:23:23 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 391x10^180-4 = 434(180)
#
n: 3635504838563803727356280415194045242549515447075999775456234322204663115922190174391291596603352860851452636864434033492244996850633849294241227544286098086307
m: 1000000000000000000000000000000000000
deg: 5
c5: 391
c0: -4
skew: 0.40
# Murphy_E = 6.596e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3916935 hash collisions in 34654597 relations (32060753 unique)
Msieve: matrix is 918745 x 918970 (309.7 MB)

Sieving start time : 2022/03/08 02:42:16
Sieving end time  : 2022/03/08 06:39:05

Total sieving time: 3hrs 56min 49secs.

Total relation processing time: 0hrs 12min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 43sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

2118035955825751270103778164914515931168198433280467078979114229722868309496564413421533640068462353961878563381760605139103876574024863911724504977551<151>

14438455519041739839602460242594199458859166949644658185301086608912100189<74>
146694080473665673846799552871138804485446290618717081708344967687440527677659<78>

Number: n
N=2118035955825751270103778164914515931168198433280467078979114229722868309496564413421533640068462353961878563381760605139103876574024863911724504977551  ( 151 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sat Apr 23 01:40:43 2022  p74 factor: 14438455519041739839602460242594199458859166949644658185301086608912100189
Sat Apr 23 01:40:43 2022  p78 factor: 146694080473665673846799552871138804485446290618717081708344967687440527677659
Sat Apr 23 01:40:43 2022  elapsed time 00:20:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 391x10^181-4 = 434(181)
#
n: 2118035955825751270103778164914515931168198433280467078979114229722868309496564413421533640068462353961878563381760605139103876574024863911724504977551
m: 1000000000000000000000000000000000000
deg: 5
c5: 1955
c0: -2
skew: 0.25
# Murphy_E = 7.511e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3387809 hash collisions in 30616588 relations (29095518 unique)
Msieve: matrix is 892992 x 893219 (306.3 MB)

Sieving start time : 2022/04/22 21:13:36
Sieving end time  : 2022/04/23 01:18:44

Total sieving time: 4hrs 5min 8secs.

Total relation processing time: 0hrs 12min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

9816465044514124147571162009108844707958203516792407556664425675272779546103674003959777148731115975162496406014628484606914346975417496568057647230720310541<157>

37502893945078687947127031082338628239<38>

261752201280517137547434585825100327489050860389400105783134214085325432241605051266279356310778996880556872848793466019<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1725229815
Step 1 took 4891ms
********** Factor found in step 2: 37502893945078687947127031082338628239
Found prime factor of 38 digits: 37502893945078687947127031082338628239
Composite cofactor 261752201280517137547434585825100327489050860389400105783134214085325432241605051266279356310778996880556872848793466019 has 120 digits
 

GMP-ECM

261752201280517137547434585825100327489050860389400105783134214085325432241605051266279356310778996880556872848793466019<120>

307363845686384965514124157992779211463275655955827<51>
851603742450544670124810584535926091641462045255518547043138589460497<69>

261752201280517137547434585825100327489050860389400105783134214085325432241605051266279356310778996880556872848793466019=307363845686384965514124157992779211463275655955827*851603742450544670124810584535926091641462045255518547043138589460497

cado polynomial
n: 261752201280517137547434585825100327489050860389400105783134214085325432241605051266279356310778996880556872848793466019
skew: 42928.747
c0: 17280655016920613970985134
c1: 17390571928151579653524
c2: 1968712106614651609
c3: -32498669076775
c4: -698393532
c5: 1440
Y0: -205448680406206809044150
Y1: 2874455739551347
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.667e-06
# f(x) = 1440*x^5-698393532*x^4-32498669076775*x^3+1968712106614651609*x^2+17390571928151579653524*x+17280655016920613970985134
# g(x) = 2874455739551347*x-205448680406206809044150

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 851603742450544670124810584535926091641462045255518547043138589460497 307363845686384965514124157992779211463275655955827
Info:Square Root: Total cpu/real time for sqrt: 379.78/112.094
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 129.42/111.386
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 47.48/52.5039
Info:Linear Algebra: Total cpu/real time for bwc: 5077.93/1318.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3096.77, WCT time 801.7, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22528 iterations)
Info:Linear Algebra: Lingen CPU time 126.28, WCT time 32.08
Info:Linear Algebra: Mksol: CPU time 1782.46,  WCT time 459.4, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13441885
Info:Lattice Sieving: Average J: 1891.58 for 250981 special-q, max bucket fill -bkmult 1.0,1s:1.262350
Info:Lattice Sieving: Total time: 30390.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/1.36787
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1800.04
Info:Polynomial Selection (root optimized): Rootsieve time: 1797.62
Info:Generate Free Relations: Total cpu/real time for freerel: 125.91/32.7891
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.2/58.4741
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.3s
Info:Filtering - Merging: Merged matrix has 719396 rows and total weight 72828484 (101.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.26/17.9687
Info:Filtering - Merging: Total cpu/real time for replay: 17.99/14.1973
Info:Quadratic Characters: Total cpu/real time for characters: 23.02/8.80659
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20148/35.020/42.667/48.360/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16124/33.580/37.774/43.150/0.845
Info:Polynomial Selection (size optimized): Total time: 2272.92
Info:Square Root: Total cpu/real time for sqrt: 379.78/112.094
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 66302.1/18256.1
Info:root: Cleaning up computation data in /tmp/cado.gtdviq0f
851603742450544670124810584535926091641462045255518547043138589460497 307363845686384965514124157992779211463275655955827

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

650538194193173152087669217132065699761038503008020838600722911670207939215748745600995610595474696462388849341169353550871341662883448109094689842679637<153>

4315970249761463615253673309691734892400643979331152269157<58>
150728146059191974070753884129155572766318789732435237924795242074194432562977414647301927950641<96>

Number: n
N=650538194193173152087669217132065699761038503008020838600722911670207939215748745600995610595474696462388849341169353550871341662883448109094689842679637  ( 153 digits)
SNFS difficulty: 186 digits.
Divisors found:

Thu Mar 31 08:07:45 2022  p58 factor: 4315970249761463615253673309691734892400643979331152269157
Thu Mar 31 08:07:45 2022  p96 factor: 150728146059191974070753884129155572766318789732435237924795242074194432562977414647301927950641
Thu Mar 31 08:07:45 2022  elapsed time 00:30:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 391x10^184-4 = 434(184)
#
n: 650538194193173152087669217132065699761038503008020838600722911670207939215748745600995610595474696462388849341169353550871341662883448109094689842679637
m: 5000000000000000000000000000000000000
deg: 5
c5: 1564
c0: -5
skew: 0.32
# Murphy_E = 4.411e-11
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  special-q in [100000, 17300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3687216 hash collisions in 30915788 relations (29037859 unique)
Msieve: matrix is 1135318 x 1135543 (389.6 MB)

Sieving start time : 2022/03/31 02:06:33
Sieving end time  : 2022/03/31 07:35:36

Total sieving time: 5hrs 29min 3secs.

Total relation processing time: 0hrs 21min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

343814849987689493862333368506208012380851887024726530899370405543245049417888924061763567936407442580282086454925961098800604973444479617319123491962998135837642010481516654356160529<183>

33067361880320015281874667663155338232182336037531719<53>
10397407910315044595240265965594065068230081796140140807654975626463681372799213327786382539572111485551190778530853943064524533991<131>

Number: n
N=343814849987689493862333368506208012380851887024726530899370405543245049417888924061763567936407442580282086454925961098800604973444479617319123491962998135837642010481516654356160529  ( 183 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Mar  1 14:51:49 2022  p53 factor: 33067361880320015281874667663155338232182336037531719
Tue Mar  1 14:51:49 2022  p131 factor: 10397407910315044595240265965594065068230081796140140807654975626463681372799213327786382539572111485551190778530853943064524533991
Tue Mar  1 14:51:49 2022  elapsed time 00:35:13 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 391x10^185-4 = 434(185)
#
n: 343814849987689493862333368506208012380851887024726530899370405543245049417888924061763567936407442580282086454925961098800604973444479617319123491962998135837642010481516654356160529
m: 10000000000000000000000000000000000000
deg: 5
c5: 391
c0: -4
skew: 0.40
# Murphy_E = 4.125e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4766908 hash collisions in 35498333 relations (32766874 unique)
Msieve: matrix is 1162846 x 1163072 (396.3 MB)

Sieving start time : 2022/03/01 09:09:19
Sieving end time  : 2022/03/01 14:16:01

Total sieving time: 5hrs 6min 42secs.
Total relation processing time: 0hrs 22min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 33sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

535030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237<186>

177150893908031202816937499206221015408010075460676263807590305838299202789<75>
3020194209538591804741678941863583511157640113032788627246127397697620153690652106421492036840168138992279082833<112>

Number: n
N=535030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237  ( 186 digits)
SNFS difficulty: 188 digits.
Divisors found:

Tue Mar  1 09:07:09 2022  p75 factor: 177150893908031202816937499206221015408010075460676263807590305838299202789
Tue Mar  1 09:07:09 2022  p112 factor: 3020194209538591804741678941863583511157640113032788627246127397697620153690652106421492036840168138992279082833
Tue Mar  1 09:07:09 2022  elapsed time 00:34:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 391x10^187-4 = 434(187)
#
n: 535030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237000547345374931581828133552271483305966064586754241926655719759168035030103995621237
m: 10000000000000000000000000000000000000
deg: 5
c5: 9775
c0: -1
skew: 0.16
# Murphy_E = 3.672e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4131647 hash collisions in 35683017 relations (32889820 unique)
Msieve: matrix is 1187996 x 1188221 (406.3 MB)

Sieving start time : 2022/03/01 03:03:18
Sieving end time  : 2022/03/01 08:32:10

Total sieving time: 5hrs 28min 52secs.

Total relation processing time: 0hrs 23min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

975746713401465772424149448791526643093361396563992186829046437182182887390225048304200742806026103066771788579942823430878269361387883972845001750941893959<156>

53840667093159133775954461101342211485642173877963644278848077489<65>
18122857053631154082144354824625911412193712948665109821185211825226448652782572572343546231<92>

Number: n
N=975746713401465772424149448791526643093361396563992186829046437182182887390225048304200742806026103066771788579942823430878269361387883972845001750941893959  ( 156 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sat Apr  2 18:39:48 2022  p65 factor: 53840667093159133775954461101342211485642173877963644278848077489
Sat Apr  2 18:39:48 2022  p92 factor: 18122857053631154082144354824625911412193712948665109821185211825226448652782572572343546231
Sat Apr  2 18:39:48 2022  elapsed time 00:42:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 391x10^189-4 = 434(189)
#
n: 975746713401465772424149448791526643093361396563992186829046437182182887390225048304200742806026103066771788579942823430878269361387883972845001750941893959
m: 50000000000000000000000000000000000000
deg: 5
c5: 1564
c0: -5
skew: 0.32
# Murphy_E = 2.75e-11
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  special-q in [100000, 18300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3939925 hash collisions in 30324691 relations (28048355 unique)
Msieve: matrix is 1354544 x 1354769 (467.7 MB)

Sieving start time : 2022/04/02 12:17:29
Sieving end time  : 2022/04/02 17:56:41

Total sieving time: 5hrs 39min 12secs.

Total relation processing time: 0hrs 33min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 35sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

276235799445071938503515888444815694101394261522073749078092505390385846870046807816827425773655124573561357407267085177266137111654906325680520876196520720250688326063<168>

334755631217604413619335079924658172843771508383393175283<57>
825186415655866091758379541188842167979350851420274150023493573053889297533665691679534374424297935068948408661<111>

Number: n
N=276235799445071938503515888444815694101394261522073749078092505390385846870046807816827425773655124573561357407267085177266137111654906325680520876196520720250688326063  ( 168 digits)
SNFS difficulty: 198 digits.
Divisors found:

Mon Mar  7 15:58:41 2022  p57 factor: 334755631217604413619335079924658172843771508383393175283
Mon Mar  7 15:58:41 2022  p111 factor: 825186415655866091758379541188842167979350851420274150023493573053889297533665691679534374424297935068948408661
Mon Mar  7 15:58:41 2022  elapsed time 01:05:31 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 391x10^196-4 = 434(196)
#
n: 276235799445071938503515888444815694101394261522073749078092505390385846870046807816827425773655124573561357407267085177266137111654906325680520876196520720250688326063
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1955
c0: -2
skew: 0.25
# Murphy_E = 1.812e-11
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4551563 hash collisions in 33450396 relations (30732704 unique)
Msieve: matrix is 1616576 x 1616801 (564.8 MB)

Sieving start time : 2022/03/07 07:43:50
Sieving end time  : 2022/03/07 14:51:25

Total sieving time: 7hrs 7min 35secs.

Total relation processing time: 0hrs 52min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 18sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14100000,14100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

10231108822500453215067522115926080655041766702395308095078927497307318814819382468695364094811397355352926312855264014357992467007334387534163803926695149139749853067511<170>

215474777250622260085174679511673647072958044655401522400570693<63>
47481700424734548591426786957606731952453150066680470140948818993318428378851121655419929469738616774351627<107>

Number: n
N=10231108822500453215067522115926080655041766702395308095078927497307318814819382468695364094811397355352926312855264014357992467007334387534163803926695149139749853067511  ( 170 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Mar  7 07:41:06 2022  p63 factor: 215474777250622260085174679511673647072958044655401522400570693
Mon Mar  7 07:41:06 2022  p107 factor: 47481700424734548591426786957606731952453150066680470140948818993318428378851121655419929469738616774351627
Mon Mar  7 07:41:06 2022  elapsed time 01:18:03 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 91x10^199-4 = 434(199)
#
n: 10231108822500453215067522115926080655041766702395308095078927497307318814819382468695364094811397355352926312855264014357992467007334387534163803926695149139749853067511
m: 1000000000000000000000000000000000
deg: 6
c6: 1955
c0: -2
skew: 0.32
# Murphy_E = 1.231e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5430399 hash collisions in 39386186 relations (34489968 unique)
Msieve: matrix is 1824824 x 1825051 (632.7 MB)

Sieving start time : 2022/03/06 14:43:12
Sieving end time  : 2022/03/07 05:17:30

Total sieving time: 14hrs 34min 18secs.

Total relation processing time: 1hrs 3min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 1sec.

Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,15800000,15800000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

595303431585652427084292529525790215721210548885299867011995623293303789855786383468794631732321927018042892547845777216832171795178184090969943791166336967<156>

1391925800069904296043617233564669446503121109<46>
6865816038590457060319215498890127955283633180897<49>
62291693552224312238052557010005154066218519526882934426186379<62>

ECM

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 595303431585652427084292529525790215721210548885299867011995623293303789855786383468794631732321927018042892547845777216832171795178184090969943791166336967 (156 digits)
Using B1=46650000, B2=240494804566, polynomial Dickson(12), sigma=1:1498060675
Step 1 took 108185ms
Step 2 took 28647ms
********** Factor found in step 2: 1391925800069904296043617233564669446503121109
Found prime factor of 46 digits: 1391925800069904296043617233564669446503121109
Composite cofactor 427683308661823443794692717704789496839687604710615364550597100386237081328700155624182036182769655128744401963 has 111 digits


CADO

STA:Sat 09 Jul 2022 01:47:36 AEST (427,683,308,661,823,443,794,692,717,704,789,496,839,687,604,710,615,364,550,597,100,386,237,081,328,700,155,624,182,036,182,769,655,128,744,401,963 - C111)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 427683308661823443794692717704789496839687604710615364550597100386237081328700155624182036182769655128744401963 2>&1 | tee -a log168

Debug:root: Looking for parameter file for c111 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.wvoucpl9
Info:Database: Opened connection to database /tmp/cado.wvoucpl9/c110.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 427683308661823443794692717704789496839687604710615364550597100386237081328700155624182036182769655128744401963
Debug:root: Root parameter dictionary:
N = 427683308661823443794692717704789496839687604710615364550597100386237081328700155624182036182769655128744401963
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 427683308661823443794692717704789496839687604710615364550597100386237081328700155624182036182769655128744401963
skew: 9035.038
c0: 23162391140758703239732872
c1: 1990451428038241861498
c2: -1322864804047904295
c3: -4108885469923
c4: 5220772518
c5: 385560
Y0: -1441561497354797723193
Y1: 7435665669146669
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 4.28e-09
# f(x) = 385560*x^5+5220772518*x^4-4108885469923*x^3-1322864804047904295*x^2+1990451428038241861498*x+23162391140758703239732872
# g(x) = 7435665669146669*x-1441561497354797723193
===
Info:Square Root: finished
Info:Square Root: Factors: 62291693552224312238052557010005154066218519526882934426186379 6865816038590457060319215498890127955283633180897
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28388/31.800/39.114/43.360/0.931
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28388/31.240/35.482/39.880/1.206
Info:Polynomial Selection (size optimized): Total time: 982.95
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 230.42
Info:Polynomial Selection (root optimized): Rootsieve time: 229.56
Info:Generate Factor Base: Total cpu/real time for makefb: 3.15/0.530374
Info:Generate Free Relations: Total cpu/real time for freerel: 29.28/3.35993
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3796003
Info:Lattice Sieving: Average J: 1891.18 for 99642 special-q, max bucket fill: 0.776676
Info:Lattice Sieving: Total CPU time: 24731s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9/9.78183
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.399999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 59.88/28.3149
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.59/24.2457
Info:Filtering - Merging: Total cpu/real time for merge: 124.36/103.975
Info:Filtering - Merging: Total cpu/real time for replay: 11.95/9.2318
Info:Linear Algebra: Total cpu/real time for bwc: 2485.23/0.000134468
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 102.36
Info:Linear Algebra: Lingen CPU time 66.51, WCT time 6.85
Info:Linear Algebra: Mksol: WCT time 56.23
Info:Quadratic Characters: Total cpu/real time for characters: 11.84/2.76143
Info:Square Root: Total cpu/real time for sqrt: 229.96/32.9064
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 28954.6/2492.5
Info:root: Cleaning up computation data in /tmp/cado.wvoucpl9
62291693552224312238052557010005154066218519526882934426186379 6865816038590457060319215498890127955283633180897

21576125584791029554668431247273195789509787580205723686515081146185293160801469007678832679652571191782291747502448982765788840982717817185407369976762515205500452431335004593430897072233<188>

691271804919329671021559488979778738788752185716653007960596558782891029<72>
31212217005305068631625828324639530162227027306065630228139626768908808985700241478509934504290035084242379890947077<116>

Number: n
N=21576125584791029554668431247273195789509787580205723686515081146185293160801469007678832679652571191782291747502448982765788840982717817185407369976762515205500452431335004593430897072233  ( 188 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Nov  2 21:21:28 2023  prp72 factor: 691271804919329671021559488979778738788752185716653007960596558782891029
Thu Nov  2 21:21:28 2023  prp116 factor: 31212217005305068631625828324639530162227027306065630228139626768908808985700241478509934504290035084242379890947077
Thu Nov  2 21:21:28 2023  elapsed time 02:58:09 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 391x10^203-4 = 434(203)
#
n: 21576125584791029554668431247273195789509787580205723686515081146185293160801469007678832679652571191782291747502448982765788840982717817185407369976762515205500452431335004593430897072233
m: 5000000000000000000000000000000000
deg: 6
c6: 3128
c0: -5
skew: 0.34
# Murphy_E = 7.711e-12
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3599818 hash collisions in 20259303 relations (17331533 unique)
Msieve: matrix is 2317729 x 2317954 (656.0 MB)

Sieving start time: 2023/11/01 14:03:45
Sieving end time  : 2023/11/02 18:22:51

Total sieving time: 28hrs 19min 6secs.

Total relation processing time: 2hrs 41min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 33sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18800000,18800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

12839395812042788951540720987218693202387966902937785246090051053901404592649859477817410941795983533992016089973367079658581889434005236886741022818343913609893<161>

18578367789264202112776328813374465290288262468194659<53>
691093854835957812083032363068063967788906537410406965420791345871077937654767910848912247505640945914979927<108>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 12839395812042788951540720987218693202387966902937785246090051053901404592649859477817410941795983533992016089973367079658581889434005236886741022818343913609893 (161 digits)
Using B1=35710000, B2=192388936756, polynomial Dickson(12), sigma=1:2941667270
Step 1 took 78655ms
Step 2 took 27945ms
********** Factor found in step 2: 18578367789264202112776328813374465290288262468194659
Found prime factor of 53 digits: 18578367789264202112776328813374465290288262468194659
Prime cofactor 691093854835957812083032363068063967788906537410406965420791345871077937654767910848912247505640945914979927 has 108 digits

1221927798087116869394296436448516413551948325156191317320529378925789032661772176262492413934413655453317833201336888482634881049667649416057420222355149496175767627<166>

59643711955910500093376953558956185447555285338954086325091270663<65>
20487118558120320900709828500310842223689067963725884662363634433532121739877897072362486002834076829<101>

Number: n
N=1221927798087116869394296436448516413551948325156191317320529378925789032661772176262492413934413655453317833201336888482634881049667649416057420222355149496175767627  ( 166 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sat Oct 19 04:40:24 2024  prp65 factor: 59643711955910500093376953558956185447555285338954086325091270663
Sat Oct 19 04:40:24 2024  prp101 factor: 20487118558120320900709828500310842223689067963725884662363634433532121739877897072362486002834076829
Sat Oct 19 04:40:24 2024  elapsed time 03:39:18 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.134).
Factorization parameters were as follows:
#
# N = 391x10^207-4 = 434(207)
#
n: 1221927798087116869394296436448516413551948325156191317320529378925789032661772176262492413934413655453317833201336888482634881049667649416057420222355149496175767627
m: 100000000000000000000000000000000000000000
deg: 5
c5: 9775
c0: -1
skew: 0.16
# Murphy_E = 5.371e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 66850000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8544554 hash collisions in 27869589 relations (17239222 unique)
Msieve: matrix is 2580069 x 2580294 (727.1 MB)

Sieving start time: 2024/10/17 13:31:42
Sieving end time  : 2024/10/19 00:52:28

Total sieving time: 35hrs 20min 46secs.

Total relation processing time: 3hrs 24min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 3sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

749656279823123230346153543322707155140297030465282216042960638558153620020601756366337236726423139517179705443178159485538447291898381653867840445134718857466979421180915555410371238191540208101577<198>

732760729676955089310883772567781359260318598379302843008211813914812487758859014539449935042299386671294431022433974419053683429005289843946019883311171529492476437<165>

40630568929740047367974181250073035661<38>

18034714969019343754852900191263881578404780506873320094600562660006782043214716042870784721197577588394794850598796718651458217<128>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2651462922
Step 1 took 29797ms
Step 2 took 11303ms
********** Factor found in step 2: 40630568929740047367974181250073035661
Found probable prime factor of 38 digits: 40630568929740047367974181250073035661
Composite cofactor 18034714969019343754852900191263881578404780506873320094600562660006782043214716042870784721197577588394794850598796718651458217 has 128 digits

18034714969019343754852900191263881578404780506873320094600562660006782043214716042870784721197577588394794850598796718651458217<128>

15961931160811734882165850244663893943399721523<47>
1129857959373770325002233922903693554303510678053272868158128034274226902701587379<82>

18034714969019343754852900191263881578404780506873320094600562660006782043214716042870784721197577588394794850598796718651458217=15961931160811734882165850244663893943399721523*1129857959373770325002233922903693554303510678053272868158128034274226902701587379

cado polynomial
n: 18034714969019343754852900191263881578404780506873320094600562660006782043214716042870784721197577588394794850598796718651458217
skew: 11829.242
c0: -1196713151788816175495885124
c1: -828225266705813857331643
c2: 60291512958833426074
c3: 8271905194569323
c4: -117230533040
c5: -14137200
Y0: -1909039787417730885093752
Y1: 1522392090668050691
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.493e-07
# f(x) = -14137200*x^5-117230533040*x^4+8271905194569323*x^3+60291512958833426074*x^2-828225266705813857331643*x-1196713151788816175495885124
# g(x) = 1522392090668050691*x-1909039787417730885093752

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 15961931160811734882165850244663893943399721523 1129857959373770325002233922903693554303510678053272868158128034274226902701587379
Info:Square Root: Total cpu/real time for sqrt: 727.34/218.414
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 262.93/220.747
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 208.60000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 116.78/130.701
Info:Linear Algebra: Total cpu/real time for bwc: 42658.3/10969.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 27264.36, WCT time 6978.71, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50944 iterations)
Info:Linear Algebra: Lingen CPU time 325.67, WCT time 82.84
Info:Linear Algebra: Mksol: CPU time 14777.11,  WCT time 3800.35, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23090365
Info:Lattice Sieving: Average J: 7633.66 for 50431 special-q, max bucket fill -bkmult 1.0,1s:1.068650
Info:Lattice Sieving: Total time: 71750.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.56/10.753
Info:Generate Free Relations: Total cpu/real time for freerel: 251.86/64.4426
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5061.29
Info:Polynomial Selection (root optimized): Rootsieve time: 5058.87
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 97.59/115.625
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.5s
Info:Filtering - Merging: Merged matrix has 1623759 rows and total weight 276176089 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 399.37/113.389
Info:Filtering - Merging: Total cpu/real time for replay: 64.96/54.6554
Info:Quadratic Characters: Total cpu/real time for characters: 63.46/26.0345
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38589/36.710/45.393/50.090/0.846
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30376/36.050/40.659/46.170/0.891
Info:Polynomial Selection (size optimized): Total time: 4860.03
Info:Square Root: Total cpu/real time for sqrt: 727.34/218.414
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 189793/51263.3
Info:root: Cleaning up computation data in /tmp/cado.s1gtt37y
15961931160811734882165850244663893943399721523 1129857959373770325002233922903693554303510678053272868158128034274226902701587379

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

6276129423308308582289285479684776965166982135207207929236522071742147530176900147375334097779186468931321071552248108407965138358103482902688033142926221645973<160>

1564515954639536527672109557732336158564160500701929928550824289255648045249110985698754453008221809818165203607617017889907080646399119764647061681594812575653076816103<169>

100393195123455440411441581338907159<36>

15583884472604156156059556057023584024047989267934948072276072115819945746824136784947109111759873180135803438409799755086861021661617<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1985684119
Step 1 took 7660ms
Step 2 took 4042ms
********** Factor found in step 2: 100393195123455440411441581338907159
Found prime factor of 36 digits: 100393195123455440411441581338907159
Composite cofactor 15583884472604156156059556057023584024047989267934948072276072115819945746824136784947109111759873180135803438409799755086861021661617 has 134 digits

15583884472604156156059556057023584024047989267934948072276072115819945746824136784947109111759873180135803438409799755086861021661617<134>

1796228579339805411308537012490218286998232119<46>
8675891616384331694171196132447941497203612373541089616419256286056803919744753281459543<88>

8675891616384331694171196132447941497203612373541089616419256286056803919744753281459543 1796228579339805411308537012490218286998232119

n: 15583884472604156156059556057023584024047989267934948072276072115819945746824136784947109111759873180135803438409799755086861021661617
skew: 44170.165
c0: 94424784975531151085211129940
c1: 3751621615131235998995023
c2: -507276998922712394324
c3: -3559169310829639
c4: 149910313240
c5: 319200
Y0: -54279943469976416395270530
Y1: 4183988223083272097
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.428e-07
# f(x) = 319200*x^5+149910313240*x^4-3559169310829639*x^3-507276998922712394324*x^2+3751621615131235998995023*x+94424784975531151085211129940
# g(x) = 4183988223083272097*x-54279943469976416395270530

cado-nfs 3.0.0

44622269873040597261786495388208869964438105403158446196868624723114131104119191788809416723178233200460220995740593678670229778239604076335264674695893695847317773578696800261983<179>

2034079102723768548191705729604807129064488704162431776784362869741432266862065621112805712193643954200539599644177180683021759597715274397075253855725166510157124878894256950647<178>

4081466436028322573844216235859207784973459<43>
498369675361861394530294585875157510666029920338680655710255718917532435461139202644753736143839981456972655631074388374953854791083533<135>

Run 151 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2303523518
Step 1 took 16553ms
Step 2 took 6695ms
********** Factor found in step 2: 4081466436028322573844216235859207784973459
Found prime factor of 43 digits: 4081466436028322573844216235859207784973459
Prime cofactor 498369675361861394530294585875157510666029920338680655710255718917532435461139202644753736143839981456972655631074388374953854791083533 has 135 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

29082356498281452641169527322673834597185173862414719492467969401165607025778149673967642852164486866856149694511181468379675087646202152057613633788542792658620546032189526950741585585230053526112242177211<206>

15515873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<218>

7852095101892455570823683407721436577<37>
1976016950193775873598326249168749611004789928897430205059809500897975236971642360424110312519389821149774053965202628483821112127619282024810185053418804230372904636762114950706849<181>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3789711010
Step 1 took 29250ms
Step 2 took 11592ms
********** Factor found in step 2: 7852095101892455570823683407721436577
Found prime factor of 37 digits: 7852095101892455570823683407721436577
Prime cofactor 1976016950193775873598326249168749611004789928897430205059809500897975236971642360424110312519389821149774053965202628483821112127619282024810185053418804230372904636762114950706849 has 181 digits

1645779580444342636141876001457530953201305425648640377200257516225493839473858415567280728940794587440147117783684909786692545974747074122280460664881984735549266439611058564072984724357162756420554583219<205>

744256422345963654859207696594765703355861816514747289402785379915963848237848532789147153960441682069362808998093465477768058675711193927311357804387348591625704881538908217<174>

144556884435599882967421959627326003186811629330788816167897954821<66>
5148536683339561180241101718410236237916395828544093255733150756335921825574570102989930465020021617203847077<109>

Number: 43444_219
N = 744256422345963654859207696594765703355861816514747289402785379915963848237848532789147153960441682069362808998093465477768058675711193927311357804387348591625704881538908217 (174 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=144556884435599882967421959627326003186811629330788816167897954821 (pp66)
r2=5148536683339561180241101718410236237916395828544093255733150756335921825574570102989930465020021617203847077 (pp109)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 32.44 hours.
Factorization parameters were as follows:
n: 744256422345963654859207696594765703355861816514747289402785379915963848237848532789147153960441682069362808998093465477768058675711193927311357804387348591625704881538908217
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 391
c0: -40
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31972471
Relations: 7288352 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.73 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6327780 x 6328005
Matrix solve time: 19.21 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 32.44 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

34448212931236167928029973319964037559067655048435944075998826194888882474655110208181717243673066704276574563391992038642701357337646236641524737406198177<155>

25709609016877661467419380071813704236544787<44>

1339896414162574384090590125648453133559601039980550589293990594459537388419755157604198881129384221965204830971<112>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=877780213
Step 1 took 40068ms
Step 2 took 12808ms
********** Factor found in step 2: 25709609016877661467419380071813704236544787
Found probable prime factor of 44 digits: 25709609016877661467419380071813704236544787
Composite cofactor 1339896414162574384090590125648453133559601039980550589293990594459537388419755157604198881129384221965204830971 has 112 digits

1339896414162574384090590125648453133559601039980550589293990594459537388419755157604198881129384221965204830971<112>

2456027902496500322989834961783968091140267623947653<52>
545554231204213140119784845273001476460432190562243616775807<60>

1339896414162574384090590125648453133559601039980550589293990594459537388419755157604198881129384221965204830971=2456027902496500322989834961783968091140267623947653*545554231204213140119784845273001476460432190562243616775807

cado polynomial
n: 1339896414162574384090590125648453133559601039980550589293990594459537388419755157604198881129384221965204830971
skew: 10264.779
c0: -4117947092346547905115935
c1: -2159317341079242239714
c2: -175093133069749671
c3: -14584101681724
c4: 3453946044
c5: 14760
Y0: 1749434300654544131798
Y1: 109670108591654273
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.368e-06
# f(x) = 14760*x^5+3453946044*x^4-14584101681724*x^3-175093133069749671*x^2-2159317341079242239714*x-4117947092346547905115935
# g(x) = 109670108591654273*x+1749434300654544131798

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 545554231204213140119784845273001476460432190562243616775807 2456027902496500322989834961783968091140267623947653
Info:Square Root: Total cpu/real time for sqrt: 191.77/56.7885
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 93.47/101.847
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 72.6s
Info:Square Root: Total cpu/real time for sqrt: 191.77/56.7885
Info:Generate Free Relations: Total cpu/real time for freerel: 62.25/16.3776
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.66/81.9298
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5567148
Info:Lattice Sieving: Average J: 1895.59 for 118468 special-q, max bucket fill -bkmult 1.0,1s:1.323410
Info:Lattice Sieving: Total time: 10955.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.36/0.650038
Info:Linear Algebra: Total cpu/real time for bwc: 1355.45/352.32
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 826.02, WCT time 212.67, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Linear Algebra: Lingen CPU time 46.84, WCT time 12.01
Info:Linear Algebra: Mksol: CPU time 455.84,  WCT time 116.96, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22/23.5061
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.599999999999998s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 237.26
Info:Polynomial Selection (root optimized): Rootsieve time: 236.28
Info:Filtering - Merging: Merged matrix has 318518 rows and total weight 49567474 (155.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.12/14.9455
Info:Filtering - Merging: Total cpu/real time for replay: 10.82/8.6999
Info:Quadratic Characters: Total cpu/real time for characters: 11.94/4.62858
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11952/31.950/39.579/44.810/1.100
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9384/31.660/35.028/39.950/0.884
Info:Polynomial Selection (size optimized): Total time: 696.48
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22669/6352.83
Info:root: Cleaning up computation data in /tmp/cado.emtitwor
545554231204213140119784845273001476460432190562243616775807 2456027902496500322989834961783968091140267623947653

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

10298851118917990046952089187055068455068810548113907389039802576836812616681694108530207668966188731268056223943037431268168790247<131>

132925342824752723182105656753763813130520852297770758256294003<63>
77478461970159290988335414621906355285333817414329469692383056194749<68>

77478461970159290988335414621906355285333817414329469692383056194749 132925342824752723182105656753763813130520852297770758256294003

n: 10298851118917990046952089187055068455068810548113907389039802576836812616681694108530207668966188731268056223943037431268168790247
skew: 72826.036
c0: -296323578576604036271716761144
c1: 30653526548797475584212839
c2: 329667353632082896976
c3: -5497510992850375
c4: -22455564408
c5: 373680
Y0: -11058809578948617320627414
Y1: 43058520831193739
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.350e-07
# f(x) = 373680*x^5-22455564408*x^4-5497510992850375*x^3+329667353632082896976*x^2+30653526548797475584212839*x-296323578576604036271716761144
# g(x) = 43058520831193739*x-11058809578948617320627414

cado-nfs 3.0.0

765349561878383433805092458181093415855883143721402191840146529200040834694601912313304279144152841600176726464997333247139744847985580587437620652101050562896467616862532888334399163317<186>

641127612536893268843217256116554967816575607050921424797382499536573192197896911501408563776292514577612921248778342122897820324244958262135498838309838547853844191784504982047017064460772502139577<198>

12694778656775529840654907864127291780825651170246791076094699413657585816974048888192662160150994092854820329825005218751902579485725992417377946453215701194206290359671041485106085943157716367890779116457<206>

327243662390517314456193560588782284998024532215910546087751082789246168431419186962480388582612814429389407118155128134869433374828931884492330267142309034039310708578481547851149247580312417075183847<201>

1365708257305830495947016365041568085973<40>

239614618012253737873791825005017819328425188265140024238873737069618444769865500723337607029536053677832119595139189339510244094841505909160523988889170096443339<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=168186724
Step 1 took 13532ms
Step 2 took 4800ms
********** Factor found in step 2: 1365708257305830495947016365041568085973
Found probable prime factor of 40 digits: 1365708257305830495947016365041568085973
Composite cofactor 239614618012253737873791825005017819328425188265140024238873737069618444769865500723337607029536053677832119595139189339510244094841505909160523988889170096443339 has 162 digits

14204316008403478415668582711949912967536469734539260127585817323609034764917361454553564097619207697889958750245553711193831473814001001022804133186881026432198299845747382425525360761558015164714786020657043<209>

318099838840661341907182383234358488377<39>

44653641008345589426396346807563305807676333217434525146766415873861078727743740917581494802883812798541323087945324790605223288229782007070583454278021935275302963996459<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1157113798
Step 1 took 13448ms
Step 2 took 5024ms
********** Factor found in step 2: 318099838840661341907182383234358488377
Found probable prime factor of 39 digits: 318099838840661341907182383234358488377
Composite cofactor 44653641008345589426396346807563305807676333217434525146766415873861078727743740917581494802883812798541323087945324790605223288229782007070583454278021935275302963996459 has 170 digits

44653641008345589426396346807563305807676333217434525146766415873861078727743740917581494802883812798541323087945324790605223288229782007070583454278021935275302963996459<170>

1013936545500023135011846384967951717<37>
44039877255163568382607760791577825377490515235536647320359071642140733230864098705077078811663921614505912572100601584275490715605327<134>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3591625559
Step 1 took 36212ms
Step 2 took 13072ms
********** Factor found in step 2: 1013936545500023135011846384967951717
Found probable prime factor of 37 digits: 1013936545500023135011846384967951717
Probable prime cofactor 44039877255163568382607760791577825377490515235536647320359071642140733230864098705077078811663921614505912572100601584275490715605327 has 134 digits

5238045089124278865203976200830946325374189463429290086061107607381411342405498820962938309766604874882179486311803928445935575217703201305071124801940941397967948233303310627225060599626859351276662701131620830717726905133666256513<232>

61214382775261220324048594977434546534225891521752901172664215566754806527364027321311611400331015120081400346081569179585969122266032834619651454256464057272051313840969<170>

12654032265081342008399476189018065754280317602339616300424214293655732906075703286787325254542841915822225486559707994424557734299616038936977431235308075993037444597672280836503018797939737136678333711091503205832526347<221>

108288058594547754631152632397458744362815853459959617383359855156019811886903269195219089856913676248170232302190953904057752739097144772027065926145618671297589152320667433576545211079254702933490716262008150057289700466400711859442193<237>

4223487006248215696945896048742570099157080072522867708598204157873112531782577646228562796038693402092706846895980963707088987050259937029004064831966902772429504828614083446444758562579585032138288337435217136438918528333607<226>

252018385609885661609401608079386104393029457398752445954360930490046277243289259120130913698731078618203183449935562530588183565601891796086610444873723479264140557921036347389944445798754477277975493916657<207>

98477362497784201749677281735638602414677467940375824204809555415088761626216771721052408985926495948805360378103884437304540763719474036105131695746365140656596693055037818481380663257677886108799<197>

14022694149145246384143541265372551953653<41>

7022713427988935453275541258989388037222995814321370982826239006346525388184386181412520746835939918138588980960991773129129404446761547505661275400482325283<157>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3201235065
Step 1 took 7359ms
Step 2 took 3516ms
********** Factor found in step 2: 14022694149145246384143541265372551953653
Found prime factor of 41 digits: 14022694149145246384143541265372551953653
Composite cofactor 7022713427988935453275541258989388037222995814321370982826239006346525388184386181412520746835939918138588980960991773129129404446761547505661275400482325283 has 157 digits
 

GMP-ECM

7022713427988935453275541258989388037222995814321370982826239006346525388184386181412520746835939918138588980960991773129129404446761547505661275400482325283<157>

1340195853809017243851754776610337048629939810334287<52>
5240065030815785164529228165396742544853254636403209927853591201621341617295180854268308828062614659024109<106>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 7022713427988935453275541258989388037222995814321370982826239006346525388184386181412520746835939918138588980960991773129129404446761547505661275400482325283 (157 digits)
[Tue Nov 12 18:02:24 2024]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:16510219233886673413
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 141906ms
Using 20 small primes for NTT
Estimated memory usage: 231.70MB
Initializing tables of differences for F took 31ms
Computing roots of F took 2719ms
Building F from its roots took 2625ms
Computing 1/F took 1078ms
Initializing table of differences for G took 31ms
Computing roots of G took 1672ms
Building G from its roots took 2625ms
Computing roots of G took 2219ms
Building G from its roots took 2671ms
Computing G * H took 563ms
Reducing  G * H mod F took 593ms
Computing roots of G took 2219ms
Building G from its roots took 2672ms
Computing G * H took 640ms
Reducing  G * H mod F took 625ms
Computing roots of G took 2281ms
Building G from its roots took 2657ms
Computing G * H took 625ms
Reducing  G * H mod F took 625ms
Computing roots of G took 2297ms
Building G from its roots took 2578ms
Computing G * H took 625ms
Reducing  G * H mod F took 609ms
Computing polyeval(F,G) took 4453ms
Computing product of all F(g_i) took 15ms
Step 2 took 40187ms
********** Factor found in step 2: 1340195853809017243851754776610337048629939810334287
Found prime factor of 52 digits: 1340195853809017243851754776610337048629939810334287
Prime cofactor 5240065030815785164529228165396742544853254636403209927853591201621341617295180854268308828062614659024109 has 106 digits
Peak memory usage: 324MB

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc]

5325523464760133141055451800675093906833706998117111787681585732688210783548576907585801435020008869024504678194261638331442422914012391635088816183348255728226745787084899376710867980522559887376455095466299272541<214>

404588136749048090737170419174431892081082356240386113748001782218113126911547675138353783909219433673334138747305531470740098653019859755274550687664978611713136330850219571722411888324786170705217035569108267704889904925524640004712884931<240>

104486625981159311613914393664391006464640186564542444933998016820473209454933853010618135600695604900448158159983208677248903638398066788378508629650391656443589<162>

25583176021420448562126482923419669039103501<44>

4084192904496066773935903663548621487625140487668239746161863821950636822423524299512935111990620220683516301164232089<118>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2319326027
Step 1 took 26156ms
Step 2 took 11734ms
********** Factor found in step 2: 25583176021420448562126482923419669039103501
Found prime factor of 44 digits: 25583176021420448562126482923419669039103501
Composite cofactor 4084192904496066773935903663548621487625140487668239746161863821950636822423524299512935111990620220683516301164232089 has 118 digits

GMP-ECM

4084192904496066773935903663548621487625140487668239746161863821950636822423524299512935111990620220683516301164232089<118>

149388983215723007141214134803783446161531593948687<51>
27339317910734735378997464915816567171809787112922242263535708287447<68>

27339317910734735378997464915816567171809787112922242263535708287447 149388983215723007141214134803783446161531593948687

n: 4084192904496066773935903663548621487625140487668239746161863821950636822423524299512935111990620220683516301164232089
skew: 39539.117
c0: 27133746603162179940938576
c1: -82226577636172683847012
c2: -100867841618142573
c3: 48176854441115
c4: 17821740
c5: 7200
Y0: -74330401293280163789910
Y1: 93309394555531
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.857e-06
# f(x) = 7200*x^5+17821740*x^4+48176854441115*x^3-100867841618142573*x^2-82226577636172683847012*x+27133746603162179940938576
# g(x) = 93309394555531*x-74330401293280163789910

cado-nfs 3.0.0

238180471186235284111682273248886090499179165923935659389874094691817520747060951160077612568989604915576549373378894948893857760499883062196689716819487682529411065028507549<174>

176545314744280903134974355368319757013991982141<48>

1349118052389158749598879482295924530565085519447224898100932576233521710403334977649095302720386689870326803091940011167717089<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3887354953
Step 1 took 4860ms
Step 2 took 2922ms
********** Factor found in step 2: 176545314744280903134974355368319757013991982141
Found prime factor of 48 digits: 176545314744280903134974355368319757013991982141
Composite cofactor 1349118052389158749598879482295924530565085519447224898100932576233521710403334977649095302720386689870326803091940011167717089 has 127 digits
 

GMP-ECM

1349118052389158749598879482295924530565085519447224898100932576233521710403334977649095302720386689870326803091940011167717089<127>

358386886486928078728812023380364127962861<42>
3764418016556995105185451921854539954144295597630397879675838753528461352010482842949<85>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1349118052389158749598879482295924530565085519447224898100932576233521710403334977649095302720386689870326803091940011167717089 (127 digits)

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3221071008
Step 1 took 10171ms
Step 2 took 5532ms
********** Factor found in step 2: 358386886486928078728812023380364127962861
Found prime factor of 42 digits: 358386886486928078728812023380364127962861
Prime cofactor 3764418016556995105185451921854539954144295597630397879675838753528461352010482842949 has 85 digits

352111848846426838518057170998921921412332326237839399190489312606130675125529095753213499122338732324261928009338973002287356653693714226612632603793581521152566125179042691519735612322406490828432774109026478146864988357047257827263429<237>

370678395337788290075891048011365366776738468858899420197640724898666974260115514929691722987870416299595246689929407438273693941620236918506616258807146779912930539765628382734968566346685484878158312721017628886926633<219>

794218674801233288621507201441925998899007522741215344871356334748980648123550910342329046361128865972162225887734072915208178744172258007070127989578960208447303694168780304050425534682365708282731735357678067<210>

1631074106538638799503243355173549464731800650618237<52>
486929852921688143825807412873355074723067888396673364796112605505713613568628002878408888166205589139457653738047314298769200966790368387861731980801217900591<159>

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
WorkUnit(uid=1441,
         n='794218674801233288621507201441925998899007522741215344871356334748980648123550910342329046361128865972162225887734072915208178744172258007070127989578960208447303694168780304050425534682365708282731735357678067',
         params=(),
         B1='10000000000', 
         B2='8e15',
         resume_line='METHOD=P-1; B1=10000000000; '
                     'N=794218674801233288621507201441925998899007522741215344871356334748980648123550910342329046361128865972162225887734072915208178744172258007070127989578960208447303694168780304050425534682365708282731735357678067; '
                     'X=0x190ee9953cab701b3ed2beba152d443911810f3f813a142f2bb311e87dbcef1115c8babd8866485512a8dc0cfd2b5f20a38058f1a57222142f58e37d1687d88d9e777db22c5cf2973742b8b23cb5fc9380d1ebf51f1943f; '
                     'CHECKSUM=3860701471; PROGRAM=GMP-ECM 7.0.6-dev; X0=0x3; '
                     'WHO=five@five; TIME=Wed Nov 22 12:58:40 2023;\n')
------------------------------------ result ------------------------------------
EcmOutput(factors=(1631074106538638799503243355173549464731800650618237,),
          exit_status=14,
          resume_line='',
          using='Using B1=10000000000-10000000000, B2=8344913552924776, '
                'polynomial x^1',
          version='GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, '      
                  '--enable-asm-redc, --enable-assert] [ECM]',  
          output='OMMITTED<2068>',
          timings=(('0',), ('669054',)),
          runtime=0)
------------------------------------ output ------------------------------------
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Wed Nov 22 12:58:40 2023
Input number is 794218674801233288621507201441925998899007522741215344871356334748980648123550910342329046361128865972162225887734072915208178744172258007070127989578960208447303694168780304050425534682365708282731735357678067 (210 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9984MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms
Computing F from factored S_1 took 94211ms
Computing h took 11854ms
Computing DCT-I of h took 28280ms
Multi-point evaluation 1 of 5:
Computing g_i took 36716ms
Computing g*h took 56602ms
Computing gcd of coefficients and N took 13067ms
Multi-point evaluation 2 of 5:
Computing g_i took 37115ms
Computing g*h took 56680ms
Computing gcd of coefficients and N took 13246ms
Multi-point evaluation 3 of 5:
Computing g_i took 36731ms
Computing g*h took 56797ms
Computing gcd of coefficients and N took 13361ms
Multi-point evaluation 4 of 5:
Computing g_i took 36570ms
Computing g*h took 56920ms
Computing gcd of coefficients and N took 13154ms
Multi-point evaluation 5 of 5:
Computing g_i took 36533ms
Computing g*h took 56674ms
Computing gcd of coefficients and N took 13189ms
Step 2 took 669054ms
********** Factor found in step 2: 1631074106538638799503243355173549464731800650618237
Found prime factor of 52 digits: 1631074106538638799503243355173549464731800650618237
Prime cofactor 486929852921688143825807412873355074723067888396673364796112605505713613568628002878408888166205589139457653738047314298769200966790368387861731980801217900591 has 159 digits
Peak memory usage: 10778MB
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

gmp-ecm + ecm-db

1080 TI for stage 1

529316683154624963172683668649296160231836180983618720917035370589608263365342933119053384373696141097936771842766510940751715591360428044952755305913137921640117006965760153238527709047257078000911816594636693895283911908624015378240090983<240>

376804127432867873748216248719159907676916585252257368623662131185542624751661819521724575720928882196494642602815263064093767598422470427700478209865063721691050238446264268968200206636801556772419355830368237552591648218886567388560267942613213809191<252>

370166122868109883671412512099904548697050770685657300206291198831927540637156078267897874867909615426975494389990092980941783273583504663885990675219147856560792832215517852827905343735938059777727331267166404390437717264813046983<231>

1488334378864315469843977233283374963458786083732526015330724528235628361954708966893740941235713449043720881303104474231581142680557228860776001715162612190773844192490854225620749639286495224489426432693617548780153632109777<226>

29384906908482758617668208984796193974303<41>
50649620347603244111647083272037235709790581777232048188961837328225116629139871758789808596316112932577911273236825981206333830287282998565917301359392982829333719402348286064793945359<185>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:939995786
Step 1 took 11453ms
Step 2 took 5125ms
********** Factor found in step 2: 29384906908482758617668208984796193974303
Found prime factor of 41 digits: 29384906908482758617668208984796193974303
Prime cofactor 50649620347603244111647083272037235709790581777232048188961837328225116629139871758789808596316112932577911273236825981206333830287282998565917301359392982829333719402348286064793945359 has 185 digits
 

GMP-ECM

529141257747281261392169827255993941691669904273839339998838681418919314747802021170204493410797247659123475826901015227925187366647225537149548797304707022529111272038204055204332688377725269478502452214622705524576158289<222>

847054510407747076144529875703070209839703703718084079655076646994858522829762306682490913015446210781317581791301374839796398687551338207348984321360916552889941517911941350390093554353970602920021001010329088670578983079<222>

80028191390447881145223631913872278203188171309120100198762305218570937137042423778117746463550629118799585304795786956498935903264892813261403535944867170626176688978925891191135636603257073802383176081695704462889102810709279462422403686949091212247<251>

128977111176331113071511490279013779912297<42>

620483670788976695503018912191715669030505771953768978063978404045524773639427438201656149205277530419170529016567902013287324675435583218680769958320338588468717497724858909387425633201516410747313809971468351<210>

Run 377 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1226406935
Step 1 took 27355ms
Step 2 took 10026ms
********** Factor found in step 2: 128977111176331113071511490279013779912297
Found prime factor of 42 digits: 128977111176331113071511490279013779912297
Composite cofactor 620483670788976695503018912191715669030505771953768978063978404045524773639427438201656149205277530419170529016567902013287324675435583218680769958320338588468717497724858909387425633201516410747313809971468351 has 210 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

186844880603960100068869969361363029198796918247172272359049635716057924311501109218930160661948923430001531070730839324364599952403061776486733117305458140613591995542490273888142790409436368421690820002271044166469513927<222>

859794707144016559168458469351899886751<39>
217313364517680587500653966845204701963138704443814714190553103499480202424924562523813050620300536528447366415907331287040658460484674332614649764134082749569604190262556127808809177<183>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3177384220
Step 1 took 11797ms
Step 2 took 5365ms
********** Factor found in step 2: 859794707144016559168458469351899886751
Found prime factor of 39 digits: 859794707144016559168458469351899886751
Prime cofactor 217313364517680587500653966845204701963138704443814714190553103499480202424924562523813050620300536528447366415907331287040658460484674332614649764134082749569604190262556127808809177 has 183 digits

20683649850943510907911184949316461334446528936991078625958723154119975935657950324857136705888465563541378845444678603117734904063122253516153441875973854015856578014598010209250042628272816373829937536971862978775842909<221>

85496845987276085742387136633178697763664206055293909664719639573194057222469214059555518244220565208409305307204360423283403381180330469039211006193612725318114016369845032759885243240042833975450880673590824990294714929988255918186811862529<242>

38806564781311152223440887305692205280844181217232793706115903890585797739763541814784178471038100936379183783885093408354224068374570777062375282300886364568497141957046067473535937584529580926299084294889541450554296892912988722383516597385137838397165249321896469<266>

22623011842235337771812308457381872236007582278061327226583892549663365892116165000748698382540888900823249323757459556501001874380727759541373419793027781378153776293606507065675490282672983578550399186809076041861214620470310552567229811245089427<248>

125261260688989918567444427563061<33>

180606611475880118388587113429674804918254266411540570169457831404986809177288664764800329319882581119763672159754977059984994544574410786698743016402532106258557201787595940389822634701430975253744834535862524068007<216>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1655779197
Step 1 took 12848ms
Step 2 took 5924ms
********** Factor found in step 2: 125261260688989918567444427563061
Found prime factor of 33 digits: 125261260688989918567444427563061
Composite cofactor 180606611475880118388587113429674804918254266411540570169457831404986809177288664764800329319882581119763672159754977059984994544574410786698743016402532106258557201787595940389822634701430975253744834535862524068007 has 216 digits

508419306262310021270637471703615589627312973156041317550320087188165044596502169245187733016475760314170928712123093041036274492186105649700948687182700724904393764963805682516069413661126851513858188448713143190082924687824025256684266761739861<246>

465930925825342968502716013972348103<36>

1091190298994864487041399455541776765464702946272256719392257892773684909198864403424505081452911299374064022849963253397378886784015608853814735397440691751463893536985895940385989902194452711960967377179408387<211>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4261387888
Step 1 took 12638ms
Step 2 took 5928ms
********** Factor found in step 2: 465930925825342968502716013972348103
Found prime factor of 36 digits: 465930925825342968502716013972348103
Composite cofactor 1091190298994864487041399455541776765464702946272256719392257892773684909198864403424505081452911299374064022849963253397378886784015608853814735397440691751463893536985895940385989902194452711960967377179408387 has 211 digits

99643221202854230377166156982670744138634046890927624872579001019367991845056065239551478083588175331294597349643221202854230377166156982670744138634046890927624872579001019367991845056065239551478083588175331294597349643221202854230377166156982670744138634046890927624872579<275>

3404656582512060267441880844946407<34>
29266746524354124220083130677691911993987312026869489999660909435526089637702132478075839154082377008456060443016529216077819633219916726644250381803493665843809790899596787362419059843523116766084954119350371298071405951445131732093970907397<242>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:790160412
Step 1 took 12811ms
Step 2 took 5021ms
********** Factor found in step 2: 3404656582512060267441880844946407
Found prime factor of 34 digits: 3404656582512060267441880844946407
Prime cofactor 29266746524354124220083130677691911993987312026869489999660909435526089637702132478075839154082377008456060443016529216077819633219916726644250381803493665843809790899596787362419059843523116766084954119350371298071405951445131732093970907397 has 242 digits

432568024431558378494267941734925308765764599553383121679022980354681612038024807044109620851638873890090378507178535427217724239168803391409771244125010082959745257434671<171>