6693973907358843756010740530823611012340625940391017612427938757954952387825471853485847936634959<97>

106712901141652496784096631363681031041<39>
62728815689052913980353531183765911857674314773906346625999<59>

N=6693973907358843756010740530823611012340625940391017612427938757954952387825471853485847936634959
  ( 97 digits)
SNFS difficulty: 107 digits.
Divisors found:
p39 factor: 106712901141652496784096631363681031041
p59 factor: 62728815689052913980353531183765911857674314773906346625999
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.20 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6693973907358843756010740530823611012340625940391017612427938757954952387825471853485847936634959
m: 100000000000000000000000000
deg: 4
c4: 2045
c0: -2
skew: 0.18
# Murphy_E = 1.744e-07
type: snfs
lss: 1
rlim: 430000
alim: 430000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 430000/430000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [215000, 335001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 36734 x 36963
Total sieving time: 0.19 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,107.000,4,0,0,0,0,0,0,0,0,430000,430000,25,25,44,44,2.2,2.2,20000
total time: 0.20 hours.
 --------- CPU info (if available) ----------

107405707643937998886619330785492055284699631797599634376436547633532805033686199460281550525332651<99>

23426717487085916918270196943328887196699777897<47>
4584752759457054832006989964152506617646891197757683<52>

N=107405707643937998886619330785492055284699631797599634376436547633532805033686199460281550525332651
  ( 99 digits)
SNFS difficulty: 115 digits.
Divisors found:
p47 factor: 23426717487085916918270196943328887196699777897
p52 factor: 4584752759457054832006989964152506617646891197757683
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.53 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 107405707643937998886619330785492055284699631797599634376436547633532805033686199460281550525332651
m: 10000000000000000000000000000
deg: 4
c4: 2045
c0: -2
skew: 0.18
# Murphy_E = 7.475e-08
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 53771 x 53996
Total sieving time: 0.52 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,4,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,20000
total time: 0.53 hours.
 --------- CPU info (if available) ----------

464804854112554581440833449315915295566665373209303512439225338484236530491279487814799879<90>

1609766759814548777175116186673185420627449<43>
288740496894159909022422584528622193996807299071<48>

prp48 = 288740496894159909022422584528622193996807299071
prp43 = 1609766759814548777175116186673185420627449

Yafu

3787037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<121>

579058621427679485370628622991725516506290199776293045546551<60>
6539989038933621006458263098597126473588436346156454720232187<61>

N=3787037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
  ( 121 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=579058621427679485370628622991725516506290199776293045546551 (pp60)
 r2=6539989038933621006458263098597126473588436346156454720232187 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.12 hours.
Scaled time: 56.01 units (timescale=7.868).
Factorization parameters were as follows:
n: 3787037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 1000000000000000000000000000000
deg: 4
c4: 409
c0: -4
skew: 0.31
# Murphy_E = 3.437e-08
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 2485001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248904 x 249152
Total sieving time: 7.07 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,75000
total time: 7.12 hours.

GNFS, Msieve

1541307087378956824864858505879459737900244240850500076964930438738098293645540105406653990200337<97>

1430893508079317727639418291869716104781861<43>
1077164078721586189379688490573330810080706665936046717<55>

N=1541307087378956824864858505879459737900244240850500076964930438738098293645540105406653990200337
  ( 97 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=1430893508079317727639418291869716104781861 (pp43)
 r2=1077164078721586189379688490573330810080706665936046717 (pp55)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.06 hours.
Scaled time: 16.21 units (timescale=7.886).
Factorization parameters were as follows:
n: 1541307087378956824864858505879459737900244240850500076964930438738098293645540105406653990200337
m: 100000000000000000000000000000000
deg: 4
c4: 409
c0: -4
skew: 0.31
# Murphy_E = 1.415e-08
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 1025001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 134599 x 134826
Total sieving time: 2.03 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,100000
total time: 2.06 hours.

GNFS, Msieve

3393119652679424096377542406328355184480121870194965595694014291129739825712922603464975164518410161229898927156710413<118>

4617158880158465302054557339200120750584602610699<49>
734893414056171484733751747734883121420099581560238915359264604700487<69>

N=3393119652679424096377542406328355184480121870194965595694014291129739825712922603464975164518410161229898927156710413
  ( 118 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=4617158880158465302054557339200120750584602610699 (pp49)
 r2=734893414056171484733751747734883121420099581560238915359264604700487 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.07 hours.
Scaled time: 16.05 units (timescale=7.764).
Factorization parameters were as follows:
n: 3393119652679424096377542406328355184480121870194965595694014291129739825712922603464975164518410161229898927156710413
m: 100000000000000000000000000000000
deg: 4
c4: 2045
c0: -2
skew: 0.18
# Murphy_E = 1.289e-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 : 130938 x 131168
Total sieving time: 2.05 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: 2.07 hours.

GNFS, Msieve

148610329907665386219716557588864617079505436449281365500021074325512578465527490367579838992153083900523369973591690030099950439<129>

195973684971577056566395708188099052073469834823<48>
758317780926653543365738939897828124009270254756196383651125399353183986025255393<81>

N=148610329907665386219716557588864617079505436449281365500021074325512578465527490367579838992153083900523369973591690030099950439
  ( 129 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=195973684971577056566395708188099052073469834823 (pp48)
 r2=758317780926653543365738939897828124009270254756196383651125399353183986025255393 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.77 hours.
Scaled time: 21.72 units (timescale=7.837).
Factorization parameters were as follows:
n: 148610329907665386219716557588864617079505436449281365500021074325512578465527490367579838992153083900523369973591690030099950439
m: 1000000000000000000000000000000000
deg: 4
c4: 409
c0: -4
skew: 0.31
# Murphy_E = 9.008e-09
type: snfs
lss: 1
rlim: 1230000
alim: 1230000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1230000/1230000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [615000, 1315001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165773 x 166000
Total sieving time: 2.74 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1230000,1230000,26,26,47,47,2.3,2.3,100000
total time: 2.77 hours.

GNFS, Msieve

113611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<135>

5752025691863358655307262454026553<34>
19751495768146854454725132406607497435562874210945894216933926611951168333247534953934832709989817087<101>

N=113611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 135 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=5752025691863358655307262454026553 (pp34)
 r2=19751495768146854454725132406607497435562874210945894216933926611951168333247534953934832709989817087 (pp101)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.75 hours.
Scaled time: 21.36 units (timescale=7.770).
Factorization parameters were as follows:
n: 113611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000000000
deg: 4
c4: 2045
c0: -2
skew: 0.18
# Murphy_E = 8.202e-09
type: snfs
lss: 1
rlim: 1260000
alim: 1260000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1260000/1260000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [630000, 1330001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 186479 x 186704
Total sieving time: 2.72 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,135.000,4,0,0,0,0,0,0,0,0,1260000,1260000,26,26,47,47,2.3,2.3,100000
total time: 2.75 hours.

GNFS, Msieve

22758180146854251940287877067989645862685264940828731618178944955251519623226920757018311153845297792734743116346048979610006031752391<134>

43784622114516650296529457612676600431501252199017681657350803<62>
519775643771260291110449520935102876749241288389716899988536673256841597<72>

N=22758180146854251940287877067989645862685264940828731618178944955251519623226920757018311153845297792734743116346048979610006031752391
  ( 134 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=43784622114516650296529457612676600431501252199017681657350803 (pp62)
 r2=519775643771260291110449520935102876749241288389716899988536673256841597 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.24 hours.
Scaled time: 41.23 units (timescale=7.862).
Factorization parameters were as follows:
n: 22758180146854251940287877067989645862685264940828731618178944955251519623226920757018311153845297792734743116346048979610006031752391
m: 10000000000000000000000000000000000
deg: 4
c4: 2045
c0: -2
skew: 0.18
# Murphy_E = 5.195e-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, 1235001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168555 x 168780
Total sieving time: 5.22 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: 5.24 hours.

GNFS, Msieve

42640195409844334541501322189821102182629159214051498682941442290982059499778642911410435297605289840940937732351533<116>

164530248031380739170123959730880586231233<42>
259163259765533203866076002969318228734479113899455757249067070261584309101<75>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3828444207
Step 1 took 4813ms
Step 2 took 2969ms
********** Factor found in step 2: 164530248031380739170123959730880586231233
Found prime factor of 42 digits: 164530248031380739170123959730880586231233
Prime cofactor 259163259765533203866076002969318228734479113899455757249067070261584309101 has 75 digits
 

GMP-ECM

9597045908758384870772905442024955608775694555622639637832547096965128574748061330017794656047788058172811263593123<115>

11221314166601096933738723446826255263343<41>
855251512102107186406434143189227714015169301913586178725133568833620744461<75>

N=9597045908758384870772905442024955608775694555622639637832547096965128574748061330017794656047788058172811263593123
  ( 115 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=11221314166601096933738723446826255263343 (pp41)
 r2=855251512102107186406434143189227714015169301913586178725133568833620744461 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.51 hours.
Scaled time: 83.05 units (timescale=7.899).
Factorization parameters were as follows:
n: 9597045908758384870772905442024955608775694555622639637832547096965128574748061330017794656047788058172811263593123
m: 1000000000000000000000000000000000000
deg: 4
c4: 10225
c0: -1
skew: 0.10
# Murphy_E = 1.629e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 342898 x 343123
Total sieving time: 10.46 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,148.000,4,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 10.51 hours.

GNFS, Msieve

895272799476568097691810645335740218874770520020523312456718649409999333505518152021123086569015808294560381746633207997505452147869811847831141579<147>

12623853176134612478763620912964377672056128855770261<53>
70919139107945332822421926181924278240412748119361428076013160440559008762773671723120623977439<95>

N=895272799476568097691810645335740218874770520020523312456718649409999333505518152021123086569015808294560381746633207997505452147869811847831141579
  ( 147 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=12623853176134612478763620912964377672056128855770261 (pp53)
 r2=70919139107945332822421926181924278240412748119361428076013160440559008762773671723120623977439 (pp95)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.11 hours.
Scaled time: 95.87 units (timescale=7.918).
Factorization parameters were as follows:
n: 895272799476568097691810645335740218874770520020523312456718649409999333505518152021123086569015808294560381746633207997505452147869811847831141579
m: 5000000000000000000000000000000
deg: 5
c5: 1636
c0: -5
skew: 0.31
# Murphy_E = 7.183e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 581715 x 581963
Total sieving time: 11.97 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 12.11 hours.

GNFS, Msieve

120384479637340535997750720986429634827762816997318745446662389832699793562766378188248631920929345041664618085236589614793647894466772837<138>

1481701091252247396015749705015233954771734247709<49>
81247479905409660495936817779763754976632700494115337259168851259646074044459312521385193<89>

Msieve v. 1.53 (SVN 998)
p49 factor: 1481701091252247396015749705015233954771734247709
p89 factor: 81247479905409660495936817779763754976632700494115337259168851259646074044459312521385193

54699129276784609802099958635373388775874267815131208987895645688220292273619546658330844452664094590825763570257737461339716561457523<134>

3420076447445498353095965553037877994237641756342123<52>
15993539944886358879824929853797518179199982069652731160391115948797306111291979801<83>

N=54699129276784609802099958635373388775874267815131208987895645688220292273619546658330844452664094590825763570257737461339716561457523
  ( 134 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=3420076447445498353095965553037877994237641756342123 (pp52)
 r2=15993539944886358879824929853797518179199982069652731160391115948797306111291979801 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 24.33 hours.
Scaled time: 189.04 units (timescale=7.770).
Factorization parameters were as follows:
n: 54699129276784609802099958635373388775874267815131208987895645688220292273619546658330844452664094590825763570257737461339716561457523
m: 100000000000000000000000000000000
deg: 5
c5: 2045
c0: -2
skew: 0.25
# Murphy_E = 3.626e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 702233 x 702460
Total sieving time: 24.16 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 24.33 hours.

GNFS, Msieve

2693030735698460560815032825300310455646196563821352104565631759196718094721882010625218992908149114712394578399<112>

1630664154366086400566875115833001<34>
1651493183613497991730084945708753602196369318080122722331674037073238414211399<79>

prp79 = 1651493183613497991730084945708753602196369318080122722331674037073238414211399
prp34 = 1630664154366086400566875115833001

GNFS, Yafu

1198177268562834129479984973516892385452290039662282765254879700924901390356998570551079168597404519252941438874077<115>

1446520519747177418460987020913188643458990139936727<52>
828316814179899310915491215611288129702615062505228210142963051<63>

1198177268562834129479984973516892385452290039662282765254879700924901390356998570551079168597404519252941438874077=1446520519747177418460987020913188643458990139936727*828316814179899310915491215611288129702615062505228210142963051

cado polynomial
n: 1198177268562834129479984973516892385452290039662282765254879700924901390356998570551079168597404519252941438874077
skew: 109915.889
c0: 149275309863382158798067320
c1: 48085188410472201676842
c2: -5632741010309433769
c3: -13397533515580
c4: 229487832
c5: -360
Y0: -25113204101958237132541
Y1: 15491109905309
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.232e-06
# f(x) = -360*x^5+229487832*x^4-13397533515580*x^3-5632741010309433769*x^2+48085188410472201676842*x+149275309863382158798067320
# g(x) = 15491109905309*x-25113204101958237132541

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
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: 828316814179899310915491215611288129702615062505228210142963051 1446520519747177418460987020913188643458990139936727
Info:Square Root: Total cpu/real time for sqrt: 324.55/95.439
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.85/112.005
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.4s
Info:Square Root: Total cpu/real time for sqrt: 324.55/95.439
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.36/89.4934
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6786943
Info:Lattice Sieving: Average J: 1941.99 for 113421 special-q, max bucket fill -bkmult 1.0,1s:1.252570
Info:Lattice Sieving: Total time: 13335.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.19/1.12643
Info:Linear Algebra: Total cpu/real time for bwc: 2329.77/601.36
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1432.63, WCT time 366.46, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 64.38, WCT time 16.39
Info:Linear Algebra: Mksol: CPU time 797.51,  WCT time 204.1, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.27/16.5901
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.83/28.8905
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 371.85
Info:Polynomial Selection (root optimized): Rootsieve time: 370.74
Info:Filtering - Merging: Merged matrix has 420895 rows and total weight 65634117 (155.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 66.76/19.8879
Info:Filtering - Merging: Total cpu/real time for replay: 14.3/11.5868
Info:Quadratic Characters: Total cpu/real time for characters: 15.48/6.02485
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21447/33.360/40.657/46.140/1.086
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16738/32.590/36.005/41.050/0.837
Info:Polynomial Selection (size optimized): Total time: 1781.24
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 29624.6/8171.43
Info:root: Cleaning up computation data in /tmp/cado.rscoa6xy
828316814179899310915491215611288129702615062505228210142963051 1446520519747177418460987020913188643458990139936727

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)

121964371985809350045235852722663828105274817888339214416646092139929419026229961610517836104744564682352404562130009912321255782158240971832102149929<150>

17504702171193792280506479989592048385187093<44>
6967520543509571623069997784519671362503860735551390376179800255429297504221469395925440144116235658938053<106>

N=121964371985809350045235852722663828105274817888339214416646092139929419026229961610517836104744564682352404562130009912321255782158240971832102149929
  ( 150 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=17504702171193792280506479989592048385187093 (pp44)
 r2=6967520543509571623069997784519671362503860735551390376179800255429297504221469395925440144116235658938053 (pp106)
Version: Msieve v. 1.52 (SVN 927)
Total time: 26.35 hours.
Scaled time: 208.29 units (timescale=7.905).
Factorization parameters were as follows:
n: 121964371985809350045235852722663828105274817888339214416646092139929419026229961610517836104744564682352404562130009912321255782158240971832102149929
m: 500000000000000000000000000000000
deg: 5
c5: 1636
c0: -5
skew: 0.31
# Murphy_E = 2.936e-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, 4200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 803962 x 804188
Total sieving time: 26.13 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.08 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: 26.35 hours.

GNFS, Msieve

14238012349744510627192710866355260008355522550426953297832909696780400710734803688941172294623223377452753312233450969617327604567516542351007364516981144319<158>

169983473804914061552942358642651056043757890367<48>
83761156487983852160015811011881879780402758223915558295510531418766933263472089688930454898193523421053960257<110>

Sat Mar 05 13:33:04 2022 -> factmsieve.py (v0.86)
Sat Mar 05 13:33:04 2022 -> This is client 1 of 1
Sat Mar 05 13:33:04 2022 -> Running on 5 Cores with 1 hyper-thread per Core
Sat Mar  5 17:46:24 2022  Msieve v. 1.53 (SVN 998)
Sat Mar  5 17:46:24 2022  random seeds: 679c4b30 15adaf58
Sat Mar  5 17:46:24 2022  factoring 14238012349744510627192710866355260008355522550426953297832909696780400710734803688941172294623223377452753312233450969617327604567516542351007364516981144319 (158 digits)
Sat Mar  5 17:46:25 2022  searching for 15-digit factors
Sat Mar  5 17:46:25 2022  commencing number field sieve (158-digit input)
Sat Mar  5 17:46:25 2022  R0: -1000000000000000000000000000000000
Sat Mar  5 17:46:25 2022  R1: 1
Sat Mar  5 17:46:25 2022  A0: -1
Sat Mar  5 17:46:25 2022  A1: 0
Sat Mar  5 17:46:25 2022  A2: 0
Sat Mar  5 17:46:25 2022  A3: 0
Sat Mar  5 17:46:25 2022  A4: 0
Sat Mar  5 17:46:25 2022  A5: 102250
Sat Mar  5 17:46:25 2022  skew 0.10, size 3.652e-12, alpha 0.468, combined = 1.845e-10 rroots = 1
Sat Mar  5 18:04:10 2022  p48 factor: 169983473804914061552942358642651056043757890367
Sat Mar  5 18:04:10 2022  p110 factor: 83761156487983852160015811011881879780402758223915558295510531418766933263472089688930454898193523421053960257

1231625524661315879601541318356350987498498935211229902335336497184093001321960807854834217462116397711722633812856373766044715000492727282223465834831<151>

1419901335669590187106751782482659451143<40>
867402187547426939030840416268646620706073073131461337844772573317516326089163018849605933079794474829253757817<111>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2964762261
Step 1 took 21578ms
Step 2 took 10828ms
********** Factor found in step 2: 1419901335669590187106751782482659451143
Found prime factor of 40 digits: 1419901335669590187106751782482659451143
Prime cofactor 867402187547426939030840416268646620706073073131461337844772573317516326089163018849605933079794474829253757817 has 111 digits
 

GMP-ECM

230479733149664628184086419706436482183937388376804135375903083334634733780131488167909823043899384426888302145559998862406667949041173547932630231<147>

13725698110831842885538028642105817227841887<44>
16791840479704128881350943690514331402061974940641403511095844685371930615341279864498413855494424031113<104>

N=230479733149664628184086419706436482183937388376804135375903083334634733780131488167909823043899384426888302145559998862406667949041173547932630231
  ( 147 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=13725698110831842885538028642105817227841887 (pp44)
 r2=16791840479704128881350943690514331402061974940641403511095844685371930615341279864498413855494424031113 (pp104)
Version: Msieve v. 1.52 (SVN 927)
Total time: 52.11 hours.
Scaled time: 410.33 units (timescale=7.874).
Factorization parameters were as follows:
n: 230479733149664628184086419706436482183937388376804135375903083334634733780131488167909823043899384426888302145559998862406667949041173547932630231
m: 10000000000000000000000000000000000
deg: 5
c5: 2045
c0: -2
skew: 0.25
# Murphy_E = 1.463e-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, 6800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1080436 x 1080664
Total sieving time: 51.86 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.02 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: 52.11 hours.

GNFS, Msieve

285960396778558792289337748857294204081873250748306399446148469673147632465902971340734943018006023756250426508422623269713666145472074632152781977<147>

27958038909248418042667765662879238399662546857250514820959<59>
10228199399349291570675658416197833494288596810668364910619777366753333413159696507184903<89>

N=285960396778558792289337748857294204081873250748306399446148469673147632465902971340734943018006023756250426508422623269713666145472074632152781977
  ( 147 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=27958038909248418042667765662879238399662546857250514820959 (pp59)
 r2=10228199399349291570675658416197833494288596810668364910619777366753333413159696507184903 (pp89)
Version: Msieve v. 1.52 (SVN 927)
Total time: 51.31 hours.
Scaled time: 405.03 units (timescale=7.893).
Factorization parameters were as follows:
n: 285960396778558792289337748857294204081873250748306399446148469673147632465902971340734943018006023756250426508422623269713666145472074632152781977
m: 10000000000000000000000000000000000
deg: 5
c5: 10225
c0: -1
skew: 0.16
# Murphy_E = 1.567e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 6700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1045766 x 1045996
Total sieving time: 51.04 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 51.31 hours.

GNFS, Msieve

3348064815246024825208726227306856384253529170481958429167923120080835100606480968807351234945724118529951556828904663653993139180944020833367857693622575655339000333<166>

45830352374538463264938721536962491746960666103040296763<56>
73053438208039561698095402430927101014674748612399876267002638161579819601492458146484999058347001143026882391<110>

Sun Feb 27 13:29:45 2022  Msieve v. 1.53 (SVN unknown)
Sun Feb 27 13:29:45 2022  random seeds: 10c79a70 ec8a5696
Sun Feb 27 13:29:45 2022  factoring 3348064815246024825208726227306856384253529170481958429167923120080835100606480968807351234945724118529951556828904663653993139180944020833367857693622575655339000333 (166 digits)
Sun Feb 27 13:29:46 2022  searching for 15-digit factors
Sun Feb 27 13:29:47 2022  commencing number field sieve (166-digit input)
Sun Feb 27 13:29:47 2022  R0: -10000000000000000000000000000000000
Sun Feb 27 13:29:47 2022  R1: 1
Sun Feb 27 13:29:47 2022  A0: -1
Sun Feb 27 13:29:47 2022  A1: 0
Sun Feb 27 13:29:47 2022  A2: 0
Sun Feb 27 13:29:47 2022  A3: 0
Sun Feb 27 13:29:47 2022  A4: 0
Sun Feb 27 13:29:47 2022  A5: 102250
Sun Feb 27 13:29:47 2022  skew 0.10, size 1.695e-12, alpha 0.468, combined = 1.168e-10 rroots = 1
Sun Feb 27 13:29:47 2022  
Sun Feb 27 13:29:47 2022  commencing square root phase
Sun Feb 27 13:29:47 2022  reading relations for dependency 1
Sun Feb 27 13:29:47 2022  read 583037 cycles
Sun Feb 27 13:29:48 2022  cycles contain 1953876 unique relations
Sun Feb 27 13:30:11 2022  read 1953876 relations
Sun Feb 27 13:30:20 2022  multiplying 1953876 relations
Sun Feb 27 13:31:39 2022  multiply complete, coefficients have about 72.31 million bits
Sun Feb 27 13:31:39 2022  initial square root is modulo 155161
Sun Feb 27 13:33:23 2022  GCD is 1, no factor found
Sun Feb 27 13:33:23 2022  reading relations for dependency 2
Sun Feb 27 13:33:23 2022  read 582205 cycles
Sun Feb 27 13:33:24 2022  cycles contain 1952498 unique relations
Sun Feb 27 13:33:47 2022  read 1952498 relations
Sun Feb 27 13:33:55 2022  multiplying 1952498 relations
Sun Feb 27 13:35:15 2022  multiply complete, coefficients have about 72.26 million bits
Sun Feb 27 13:35:15 2022  initial square root is modulo 153871
Sun Feb 27 13:37:01 2022  sqrtTime: 434
Sun Feb 27 13:37:01 2022  p56 factor: 45830352374538463264938721536962491746960666103040296763
Sun Feb 27 13:37:01 2022  p110 factor: 73053438208039561698095402430927101014674748612399876267002638161579819601492458146484999058347001143026882391
Sun Feb 27 13:37:01 2022  elapsed time 00:07:16

2388247885446136813081889962479076336091482880065617479235996583863510469654292346727160240339622534958433304207790394517810430100377<133>

571624808477423526724147608693438698981<39>
4177999012687115199161896233107659785192387187878394413984054662755592956472341051683992951717<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3182264034
Step 1 took 4843ms
Step 2 took 2954ms
********** Factor found in step 2: 571624808477423526724147608693438698981
Found prime factor of 39 digits: 571624808477423526724147608693438698981
Prime cofactor 4177999012687115199161896233107659785192387187878394413984054662755592956472341051683992951717 has 94 digits
 

GMP-ECM

41365764476923162706055206960113279479569362220494332817965483558708526912345593453692454605961910850342467318776174851395491461167693741331<140>

5675436871101377316721541982122718266544815946650054787193236565240933<70>
7288560408019428397079131233938045217390997042610380098883918664515607<70>

41365764476923162706055206960113279479569362220494332817965483558708526912345593453692454605961910850342467318776174851395491461167693741331=5675436871101377316721541982122718266544815946650054787193236565240933*7288560408019428397079131233938045217390997042610380098883918664515607

cado polynomial
n: 41365764476923162706055206960113279479569362220494332817965483558708526912345593453692454605961910850342467318776174851395491461167693741331
skew: 0.40
type: snfs
c0: -4
c5: 409
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 409*x^5-4
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6400000
tasks.lim1 = 6400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.polyselect.admin = 0
tasks.polyselect.admax = 0
tasks.polyselect.adrange = 0
tasks.polyselect.import = 45444_175.poly
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5675436871101377316721541982122718266544815946650054787193236565240933 7288560408019428397079131233938045217390997042610380098883918664515607
Info:Square Root: Total cpu/real time for sqrt: 208.48/66.201
Info:Quadratic Characters: Total cpu/real time for characters: 31.56/12.4557
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.76/175.208
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.4s
Info:Square Root: Total cpu/real time for sqrt: 208.48/66.201
Info:Linear Algebra: Total cpu/real time for bwc: 13908/3571.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8788.28, WCT time 2246.58, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (29696 iterations)
Info:Linear Algebra: Lingen CPU time 168.58, WCT time 42.88
Info:Linear Algebra: Mksol: CPU time 4797.53,  WCT time 1225.78, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14848 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 124.78/123.196
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22414530
Info:Lattice Sieving: Average J: 1893.93 for 839381 special-q, max bucket fill -bkmult 1.0,1s:1.177920
Info:Lattice Sieving: Total time: 134103s
Info:Generate Free Relations: Total cpu/real time for freerel: 120.76/33.112
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.72/102.153
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.1s
Info:Filtering - Merging: Merged matrix has 948952 rows and total weight 161553503 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 220.75/61.6215
Info:Filtering - Merging: Total cpu/real time for replay: 32.62/27.6661
Info:Generate Factor Base: Total cpu/real time for makefb: 2.72/1.48191
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 264844/71532.2
Info:root: Cleaning up computation data in /tmp/cado.p9r5cgz0
5675436871101377316721541982122718266544815946650054787193236565240933 7288560408019428397079131233938045217390997042610380098883918664515607

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

175054643157059214163357021094195782105881847994258139223414459903866666878957872060068549857437039436155928095804555676818346507286647381380277356063010289634883608693003<171>

65879711710937483006999448153651727670715602993<47>
2657185931917129020869340414168267102972920946526490132582936205102129181530764007555302642351802651370724928032389152088571<124>

Number: n
N=175054643157059214163357021094195782105881847994258139223414459903866666878957872060068549857437039436155928095804555676818346507286647381380277356063010289634883608693003  ( 171 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sun Mar  6 14:41:27 2022  p47 factor: 65879711710937483006999448153651727670715602993
Sun Mar  6 14:41:27 2022  p124 factor: 2657185931917129020869340414168267102972920946526490132582936205102129181530764007555302642351802651370724928032389152088571
Sun Mar  6 14:41:27 2022  elapsed time 00:29:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.292).
Factorization parameters were as follows:
#
# N = 409x10^176-4 = 454(176)
#
n: 175054643157059214163357021094195782105881847994258139223414459903866666878957872060068549857437039436155928095804555676818346507286647381380277356063010289634883608693003
m: 100000000000000000000000000000000000
deg: 5
c5: 2045
c0: -2
skew: 0.25
# Murphy_E = 9.227e-11
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, 30500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6476479 hash collisions in 39935895 relations (34516328 unique)
Msieve: matrix is 1158460 x 1158706 (269.8 MB)

Sieving start time : 2022/03/06 11:07:32
Sieving end time  : 2022/03/06 14:11:14

Total sieving time: 3hrs 3min 42secs.

Total relation processing time: 0hrs 17min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

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) ----------
[    0.119529] 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)
[    0.153528] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798128)
[    0.152048] smpboot: Total of 16 processors activated (102385.02 BogoMIPS)

186379352493380245780606465996773686476666531829955724637156761009069189573066763924056639326413423832354266003777947345613918526809<132>

25998307431519044790917499310204889832707636333<47>
7168903321276340508826365584075965389996692658408791893620847135157941282000555276573<85>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 186379352493380245780606465996773686476666531829955724637156761009069189573066763924056639326413423832354266003777947345613918526809 (132 digits)
Using B1=39660000, B2=192393080896, polynomial Dickson(12), sigma=1:1933687769
Step 1 took 56267ms
Step 2 took 17590ms
********** Factor found in step 2: 25998307431519044790917499310204889832707636333
Found prime factor of 47 digits: 25998307431519044790917499310204889832707636333
Prime cofactor 7168903321276340508826365584075965389996692658408791893620847135157941282000555276573 has 85 digits

27710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271<179>

34146310847708021204800385127535723759147635714847<50>
4745188069976661530904942528010983015402007494182647<52>
171017176167033963129668802582843916906851550681831250367483151520421769728919<78>

Number: n
N=27710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271  ( 179 digits)
SNFS difficulty: 181 digits.
Divisors found:

Wed Mar  2 05:05:07 2022  found factor: 171017176167033963129668802582843916906851550681831250367483151520421769728919
Wed Mar  2 05:06:01 2022  found factor: 171017176167033963129668802582843916906851550681831250367483151520421769728919
Wed Mar  2 05:06:55 2022  p50 factor: 34146310847708021204800385127535723759147635714847
Wed Mar  2 05:06:55 2022  p52 factor: 4745188069976661530904942528010983015402007494182647
Wed Mar  2 05:06:55 2022  p78 factor: 171017176167033963129668802582843916906851550681831250367483151520421769728919
Wed Mar  2 05:06:55 2022  elapsed time 00:25:59 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 409x10^179-4 = 454(179)
#
n: 27710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271
m: 500000000000000000000000000000000000
deg: 5
c5: 1636
c0: -5
skew: 0.31
# Murphy_E = 7.403e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4364809 hash collisions in 34382776 relations (32047870 unique)
Msieve: matrix is 858643 x 858874 (291.5 MB)

Sieving start time : 2022/03/02 01:06:37
Sieving end time  : 2022/03/02 04:40:20

Total sieving time: 3hrs 33min 43secs.

Total relation processing time: 0hrs 11min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 17sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 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)

1408888604080289304905103707901240519299120920060089006411002532306238117497377060522810102219313527424053411819<112>

1573442623764350805178548291382390770646657547<46>
895417845430945818339331572414885327800538650252758653900195958177<66>

prp66 = 895417845430945818339331572414885327800538650252758653900195958177
prp46 = 1573442623764350805178548291382390770646657547

GNFS, Yafu

31077556407053272870985042728549751519038906183294753638699211598070388957681254154732080558415109630024251958468174484492443<125>

378340774186647554444293440513632345391240989<45>
82141705381513345541873631286678395852813341635748929822585734613380050334097687<80>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:449080217
Step 1 took 4829ms
Step 2 took 2906ms
********** Factor found in step 2: 378340774186647554444293440513632345391240989
Found prime factor of 45 digits: 378340774186647554444293440513632345391240989
Prime cofactor 82141705381513345541873631286678395852813341635748929822585734613380050334097687 has 80 digits

GMP-ECM

2675814110624856628219988054118610603861453390354702221358061172912973091705043615614588177249602613990936133916921087<118>

778369552099646887284105708686409250682916397673<48>
3437716831814483471169356889152542999586270753599039760873333235726119<70>

2675814110624856628219988054118610603861453390354702221358061172912973091705043615614588177249602613990936133916921087=778369552099646887284105708686409250682916397673*3437716831814483471169356889152542999586270753599039760873333235726119

cado polynomial
n: 2675814110624856628219988054118610603861453390354702221358061172912973091705043615614588177249602613990936133916921087
skew: 98076.524
c0: -182158641362262727209698104167
c1: 1444842120792565357010451
c2: 38740392461429879421
c3: -162041360587271
c4: -37569514
c5: 21840
Y0: -41566617726892087297970
Y1: 151514337148312309
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.787e-06
# f(x) = 21840*x^5-37569514*x^4-162041360587271*x^3+38740392461429879421*x^2+1444842120792565357010451*x-182158641362262727209698104167
# g(x) = 151514337148312309*x-41566617726892087297970

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: 778369552099646887284105708686409250682916397673 3437716831814483471169356889152542999586270753599039760873333235726119
Info:Square Root: Total cpu/real time for sqrt: 258.05/75.9027
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 130.45/111.444
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.16/62.1504
Info:Linear Algebra: Total cpu/real time for bwc: 2648.18/688.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1580.06, WCT time 409.2, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16896 iterations)
Info:Linear Algebra: Lingen CPU time 94.72, WCT time 24.01
Info:Linear Algebra: Mksol: CPU time 922.92,  WCT time 237.96, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13431292
Info:Lattice Sieving: Average J: 1916.51 for 190929 special-q, max bucket fill -bkmult 1.0,1s:1.251300
Info:Lattice Sieving: Total time: 24447s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/1.3667
Info:Generate Free Relations: Total cpu/real time for freerel: 126.42/32.7749
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1089.91
Info:Polynomial Selection (root optimized): Rootsieve time: 1087.52
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.85/59.7934
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.7s
Info:Filtering - Merging: Merged matrix has 539250 rows and total weight 54121238 (100.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 38.55/12.6876
Info:Filtering - Merging: Total cpu/real time for replay: 12.46/9.88888
Info:Quadratic Characters: Total cpu/real time for characters: 16.02/6.19724
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): 19940/34.080/41.893/47.550/1.048
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15720/32.250/37.059/42.380/0.797
Info:Polynomial Selection (size optimized): Total time: 2309.01
Info:Square Root: Total cpu/real time for sqrt: 258.05/75.9027
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 51934.4/14375.7
Info:root: Cleaning up computation data in /tmp/cado.uli76me4
778369552099646887284105708686409250682916397673 3437716831814483471169356889152542999586270753599039760873333235726119

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)

8239281970373254693420085356638172001631605122760636437412318295230933613024634134801849264202454964591090379909867671811882421629724545513<139>

32899675411436540390894269722423137162890105993146617947261390421923<68>
250436573228595644695451941093461631457319776309459430656196201421443331<72>

8239281970373254693420085356638172001631605122760636437412318295230933613024634134801849264202454964591090379909867671811882421629724545513=32899675411436540390894269722423137162890105993146617947261390421923*250436573228595644695451941093461631457319776309459430656196201421443331

cado polynomial
n: 8239281970373254693420085356638172001631605122760636437412318295230933613024634134801849264202454964591090379909867671811882421629724545513
skew: 0.10
type: snfs
c0: -1
c5: 102250
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 102250*x^5-1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8500000
tasks.lim1 = 8500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 32899675411436540390894269722423137162890105993146617947261390421923 250436573228595644695451941093461631457319776309459430656196201421443331
Info:Square Root: Total cpu/real time for sqrt: 1024.37/317.796
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.21/112.313
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.80000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 394.58/389.832
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 318.2s
Info:Square Root: Total cpu/real time for sqrt: 1024.37/317.796
Info:Generate Factor Base: Total cpu/real time for makefb: 3.66/1.96987
Info:Filtering - Merging: Merged matrix has 1728810 rows and total weight 294125761 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 443/123.265
Info:Filtering - Merging: Total cpu/real time for replay: 66.02/58.2375
Info:Linear Algebra: Total cpu/real time for bwc: 49262.8/12629.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 31591.03, WCT time 8065.31, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54272 iterations)
Info:Linear Algebra: Lingen CPU time 339.03, WCT time 86.11
Info:Linear Algebra: Mksol: CPU time 17015.61,  WCT time 4356.42, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27136 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 284.19/333.218
Info:Quadratic Characters: Total cpu/real time for characters: 61.82/25.6917
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24155716
Info:Lattice Sieving: Average J: 1893.47 for 1624471 special-q, max bucket fill -bkmult 1.0,1s:1.151940
Info:Lattice Sieving: Total time: 282317s
Info:Generate Free Relations: Total cpu/real time for freerel: 120.29/32.2525
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 578433/70205.4
32899675411436540390894269722423137162890105993146617947261390421923 250436573228595644695451941093461631457319776309459430656196201421443331

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

94092315156543866709551685336016106604981492426619372568313563519127750110790355641971090486680764846430360120154830249677329<125>

95888600458105811609303915445420077717672272174504554493<56>
981266956729160412100582848944455849106214531504700600688479701644453<69>

981266956729160412100582848944455849106214531504700600688479701644453 95888600458105811609303915445420077717672272174504554493

n: 94092315156543866709551685336016106604981492426619372568313563519127750110790355641971090486680764846430360120154830249677329
skew: 5059.955
c0: -37690828229934929072666720
c1: -63000876740222456782678
c2: -14187126025482807397
c3: 8349136142114311
c4: 297608942592
c5: 2666520
Y0: -913062211874934923694449
Y1: 7159054665742651
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.599e-07
# f(x) = 2666520*x^5+297608942592*x^4+8349136142114311*x^3-14187126025482807397*x^2-63000876740222456782678*x-37690828229934929072666720
# g(x) = 7159054665742651*x-913062211874934923694449

cado-nfs 3.0.0

53110095225357684652642453838290294433814298392226728653820979716889196787764681219783244938603905047138002457712490897520193<125>

455038938894809166590352887657843671927357867057978345730839<60>
116715495501001695365267938543923932498291059481399793784888694887<66>

116715495501001695365267938543923932498291059481399793784888694887 455038938894809166590352887657843671927357867057978345730839

n: 53110095225357684652642453838290294433814298392226728653820979716889196787764681219783244938603905047138002457712490897520193
skew: 6354.532
c0: 51897271192345990363003324
c1: 72925329325120253847687
c2: -18129405289895361816
c3: -3351827736742243
c4: 103029891600
c5: 16200000
Y0: -765151395177602035138589
Y1: 4206066312002113
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.606e-07
# f(x) = 16200000*x^5+103029891600*x^4-3351827736742243*x^3-18129405289895361816*x^2+72925329325120253847687*x+51897271192345990363003324
# g(x) = 4206066312002113*x-765151395177602035138589

cado-nfs 3.0.0

358394672274798457763757448300035050823694356817385208552400981423063441990886785839467227479845776375744830003505082369435681738520855240098142306344199088678583946722747984577637574483<186>

15306540002215409089288104202382138575916243902877515077137<59>
23414479838221166005459706602627270374640555803810564753345020367827624074636324048668927373876183373110532930842579908431508259<128>

Number: n
N=358394672274798457763757448300035050823694356817385208552400981423063441990886785839467227479845776375744830003505082369435681738520855240098142306344199088678583946722747984577637574483  ( 186 digits)
SNFS difficulty: 189 digits.
Divisors found:

Tue Mar  1 03:01:18 2022  p59 factor: 15306540002215409089288104202382138575916243902877515077137
Tue Mar  1 03:01:18 2022  p128 factor: 23414479838221166005459706602627270374640555803810564753345020367827624074636324048668927373876183373110532930842579908431508259
Tue Mar  1 03:01:18 2022  elapsed time 00:37:30 (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 = 409x10^187-4 = 454(187)
#
n: 358394672274798457763757448300035050823694356817385208552400981423063441990886785839467227479845776375744830003505082369435681738520855240098142306344199088678583946722747984577637574483
m: 10000000000000000000000000000000000000
deg: 5
c5: 10225
c0: -1
skew: 0.16
# Murphy_E = 3.875e-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, 24950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3739636 hash collisions in 33815299 relations (31373820 unique)
Msieve: matrix is 1192888 x 1193114 (411.1 MB)

Sieving start time : 2022/02/28 19:24:43
Sieving end time  : 2022/03/01 02:22:38

Total sieving time: 6hrs 57min 55secs.

Total relation processing time: 0hrs 24min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 35sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
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)

34386025192324468343802336334962270429965816315400980311450158423074524588930102349293987974348061970747347662321265699<119>

23511286488662847582855117452167743629001788563773062635397<59>
1462532695048628003517642843607168036668777799683780526975367<61>

23511286488662847582855117452167743629001788563773062635397 1462532695048628003517642843607168036668777799683780526975367

n: 34386025192324468343802336334962270429965816315400980311450158423074524588930102349293987974348061970747347662321265699
skew: 12344.549
c0: -546659714649750157316433312
c1: 43791551070569257578051
c2: 10775348067229184762
c3: -247641628277201
c4: -9615645420
c5: 2116800
Y0: -62774448623049141128873
Y1: 1943579472129347
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.586e-06
# f(x) = 2116800*x^5-9615645420*x^4-247641628277201*x^3+10775348067229184762*x^2+43791551070569257578051*x-546659714649750157316433312
# g(x) = 1943579472129347*x-62774448623049141128873

cado-nfs 3.0.0

10023999800320841390971504925924516220540773843518090264763814349741778647832572384102119964374094170513943908909475651556596205540191366663059215303212502618039161<164>

2077539115250553740011313808950923453<37>

4824939143979455156068368664016459229545948330312302517650009463216545016359659011111081158648850621561987757484946164195753837<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:798248456
Step 1 took 4781ms
Step 2 took 2672ms
********** Factor found in step 2: 2077539115250553740011313808950923453
Found prime factor of 37 digits: 2077539115250553740011313808950923453
Composite cofactor 4824939143979455156068368664016459229545948330312302517650009463216545016359659011111081158648850621561987757484946164195753837 has 127 digits

GMP-ECM

4824939143979455156068368664016459229545948330312302517650009463216545016359659011111081158648850621561987757484946164195753837<127>

169998515770090317477611785178190968753197969457087615943779<60>
28382242763253342629422100855980767483353069728789783434480186027503<68>

169998515770090317477611785178190968753197969457087615943779 28382242763253342629422100855980767483353069728789783434480186027503

n: 4824939143979455156068368664016459229545948330312302517650009463216545016359659011111081158648850621561987757484946164195753837
skew: 35535.971
c0: -8932096114158665961880037811
c1: 601174845905590138901212
c2: 36143532892064864442
c3: 2069003770717157
c4: -21279115722
c5: -341280
Y0: -2115916927575475683903000
Y1: 718270842567341
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.234e-07
# f(x) = -341280*x^5-21279115722*x^4+2069003770717157*x^3+36143532892064864442*x^2+601174845905590138901212*x-8932096114158665961880037811
# g(x) = 718270842567341*x-2115916927575475683903000

cado-nfs 3.0.0

3122698874230197757553281349519120159633187992333896131553473344026061194338261224940894921395409123974506441164219911096748399209357329921<139>

26948173562239357552785246999641927075967620483<47>
115877941301588737967826977800604672423512387945253219030082362154913790590999023982114841387<93>

Sat Apr 23 00:03:12 2022 -> factmsieve.py (v0.86)
Sat Apr 23 00:03:12 2022 -> This is client 1 of 1
Sat Apr 23 00:03:12 2022 -> Running on 6 Cores with 1 hyper-thread per Core
Sat Apr 23 00:03:12 2022 -> Working with NAME = 45444_191
Sat Apr 23 00:03:12 2022 -> Selected lattice siever: gnfs-lasieve4I13e
Sun Apr 24 04:49:54 2022 Found 25114522 relations, 106.8% of the estimated minimum (23519526).
Sun Apr 24 04:49:54 2022 -> msieve-1.53-SVN998-win64-core2 -s 45444_191\45444_191.dat -l 45444_191\45444_191.log -i 45444_191\45444_191.ini -nf 45444_191\45444_191.fb -t 6 -nc1
Sun Apr 24 04:49:54 2022  
Sun Apr 24 04:49:54 2022  
Sun Apr 24 04:49:54 2022  Msieve v. 1.53 (SVN unknown)
Sun Apr 24 04:49:54 2022  random seeds: e7e8ce18 2797b968
Sun Apr 24 04:49:54 2022  factoring 3122698874230197757553281349519120159633187992333896131553473344026061194338261224940894921395409123974506441164219911096748399209357329921 (139 digits)
Sun Apr 24 04:49:55 2022  searching for 15-digit factors
Sun Apr 24 04:49:55 2022  commencing number field sieve (139-digit input)
Sun Apr 24 04:49:55 2022  R0: -100000000000000000000000000000000000000
Sun Apr 24 04:49:55 2022  R1: 1
Sun Apr 24 04:49:55 2022  A0: -2
Sun Apr 24 04:49:55 2022  A1: 0
Sun Apr 24 04:49:55 2022  A2: 0
Sun Apr 24 04:49:55 2022  A3: 0
Sun Apr 24 04:49:55 2022  A4: 0
Sun Apr 24 04:49:55 2022  A5: 2045
Sun Apr 24 04:49:55 2022  skew 0.25, size 1.164e-13, alpha 1.363, combined = 2.255e-11 rroots = 1
Sun Apr 24 04:49:55 2022  
Sun Apr 24 04:49:55 2022  commencing relation filtering
Sun Apr 24 04:49:55 2022  estimated available RAM is 32684.9 MB
Sun Apr 24 04:49:55 2022  commencing duplicate removal, pass 1
Sun Apr 24 04:54:03 2022  found 4248616 hash collisions in 25114521 relations
Sun Apr 24 04:54:27 2022  added 105 free relations
Sun Apr 24 04:54:27 2022  commencing duplicate removal, pass 2
Sun Apr 24 04:54:35 2022  found 3990715 duplicates and 21123911 unique relations
Sun Apr 24 04:54:35 2022  memory use: 106.6 MB
Sun Apr 24 04:54:35 2022  reading ideals above 720000
Sun Apr 24 04:54:35 2022  commencing singleton removal, initial pass
Sun Apr 24 04:57:41 2022  memory use: 689.0 MB
Sun Apr 24 04:57:41 2022  reading all ideals from disk
Sun Apr 24 04:57:41 2022  memory use: 689.5 MB
Sun Apr 24 04:57:42 2022  keeping 23088083 ideals with weight <= 200, target excess is 117146
Sun Apr 24 04:57:43 2022  commencing in-memory singleton removal
Sun Apr 24 04:57:44 2022  begin with 21123911 relations and 23088083 unique ideals
Sun Apr 24 04:57:54 2022  reduce to 9393291 relations and 9206184 ideals in 19 passes
Sun Apr 24 04:57:54 2022  max relations containing the same ideal: 119
Sun Apr 24 04:57:56 2022  removing 390592 relations and 364983 ideals in 25609 cliques
Sun Apr 24 04:57:56 2022  commencing in-memory singleton removal
Sun Apr 24 04:57:57 2022  begin with 9002699 relations and 9206184 unique ideals
Sun Apr 24 04:58:00 2022  reduce to 8988665 relations and 8827104 ideals in 8 passes
Sun Apr 24 04:58:00 2022  max relations containing the same ideal: 116
Sun Apr 24 04:58:02 2022  removing 278479 relations and 252870 ideals in 25609 cliques
Sun Apr 24 04:58:02 2022  commencing in-memory singleton removal
Sun Apr 24 04:58:03 2022  begin with 8710186 relations and 8827104 unique ideals
Sun Apr 24 04:58:06 2022  reduce to 8702855 relations and 8566869 ideals in 8 passes
Sun Apr 24 04:58:06 2022  max relations containing the same ideal: 115
Sun Apr 24 04:58:07 2022  relations with 0 large ideals: 2855
Sun Apr 24 04:58:07 2022  relations with 1 large ideals: 683
Sun Apr 24 04:58:07 2022  relations with 2 large ideals: 13629
Sun Apr 24 04:58:07 2022  relations with 3 large ideals: 114490
Sun Apr 24 04:58:07 2022  relations with 4 large ideals: 531005
Sun Apr 24 04:58:07 2022  relations with 5 large ideals: 1437270
Sun Apr 24 04:58:07 2022  relations with 6 large ideals: 2448367
Sun Apr 24 04:58:07 2022  relations with 7+ large ideals: 4154556
Sun Apr 24 04:58:07 2022  commencing 2-way merge
Sun Apr 24 04:58:11 2022  reduce to 5186147 relation sets and 5050162 unique ideals
Sun Apr 24 04:58:11 2022  ignored 1 oversize relation sets
Sun Apr 24 04:58:11 2022  commencing full merge
Sun Apr 24 04:59:11 2022  memory use: 609.4 MB
Sun Apr 24 04:59:12 2022  found 2677978 cycles, need 2666362
Sun Apr 24 04:59:12 2022  weight of 2666362 cycles is about 186672913 (70.01/cycle)
Sun Apr 24 04:59:12 2022  distribution of cycle lengths:
Sun Apr 24 04:59:12 2022  1 relations: 402976
Sun Apr 24 04:59:12 2022  2 relations: 362441
Sun Apr 24 04:59:12 2022  3 relations: 329448
Sun Apr 24 04:59:12 2022  4 relations: 278914
Sun Apr 24 04:59:12 2022  5 relations: 236996
Sun Apr 24 04:59:12 2022  6 relations: 193049
Sun Apr 24 04:59:12 2022  7 relations: 160933
Sun Apr 24 04:59:12 2022  8 relations: 131818
Sun Apr 24 04:59:12 2022  9 relations: 106266
Sun Apr 24 04:59:12 2022  10+ relations: 463521
Sun Apr 24 04:59:12 2022  heaviest cycle: 28 relations
Sun Apr 24 04:59:12 2022  commencing cycle optimization
Sun Apr 24 04:59:15 2022  start with 15142201 relations
Sun Apr 24 04:59:32 2022  pruned 334838 relations
Sun Apr 24 04:59:32 2022  memory use: 505.4 MB
Sun Apr 24 04:59:32 2022  distribution of cycle lengths:
Sun Apr 24 04:59:32 2022  1 relations: 402976
Sun Apr 24 04:59:32 2022  2 relations: 370062
Sun Apr 24 04:59:32 2022  3 relations: 340063
Sun Apr 24 04:59:32 2022  4 relations: 284569
Sun Apr 24 04:59:32 2022  5 relations: 240670
Sun Apr 24 04:59:32 2022  6 relations: 193567
Sun Apr 24 04:59:32 2022  7 relations: 160715
Sun Apr 24 04:59:32 2022  8 relations: 130128
Sun Apr 24 04:59:32 2022  9 relations: 104110
Sun Apr 24 04:59:32 2022  10+ relations: 439502
Sun Apr 24 04:59:32 2022  heaviest cycle: 27 relations
Sun Apr 24 04:59:34 2022  RelProcTime: 579
Sun Apr 24 04:59:34 2022  elapsed time 00:09:40
Sun Apr 24 04:59:34 2022 LatSieveTime: 1136.05
Sun Apr 24 04:59:34 2022 -> Running matrix solving step ...
Sun Apr 24 04:59:34 2022 -> msieve-1.53-SVN998-win64-core2 -s 45444_191\45444_191.dat -l 45444_191\45444_191.log -i 45444_191\45444_191.ini -nf 45444_191\45444_191.fb -t 6 -nc2
Sun Apr 24 04:59:34 2022  
Sun Apr 24 04:59:34 2022  
Sun Apr 24 04:59:34 2022  Msieve v. 1.53 (SVN unknown)
Sun Apr 24 04:59:34 2022  random seeds: be1efc30 3b492021
Sun Apr 24 04:59:34 2022  factoring 3122698874230197757553281349519120159633187992333896131553473344026061194338261224940894921395409123974506441164219911096748399209357329921 (139 digits)
Sun Apr 24 04:59:34 2022  searching for 15-digit factors
Sun Apr 24 04:59:35 2022  commencing number field sieve (139-digit input)
Sun Apr 24 04:59:35 2022  R0: -100000000000000000000000000000000000000
Sun Apr 24 04:59:35 2022  R1: 1
Sun Apr 24 04:59:35 2022  A0: -2
Sun Apr 24 04:59:35 2022  A1: 0
Sun Apr 24 04:59:35 2022  A2: 0
Sun Apr 24 04:59:35 2022  A3: 0
Sun Apr 24 04:59:35 2022  A4: 0
Sun Apr 24 04:59:35 2022  A5: 2045
Sun Apr 24 04:59:35 2022  skew 0.25, size 1.164e-13, alpha 1.363, combined = 2.255e-11 rroots = 1
Sun Apr 24 04:59:35 2022  
Sun Apr 24 04:59:35 2022  commencing linear algebra
Sun Apr 24 04:59:35 2022  read 2666362 cycles
Sun Apr 24 04:59:38 2022  cycles contain 8532896 unique relations
Sun Apr 24 05:00:41 2022  read 8532896 relations
Sun Apr 24 05:00:50 2022  using 20 quadratic characters above 4294917295
Sun Apr 24 05:01:21 2022  building initial matrix
Sun Apr 24 05:02:18 2022  memory use: 1086.3 MB
Sun Apr 24 05:02:19 2022  read 2666362 cycles
Sun Apr 24 05:02:19 2022  matrix is 2666184 x 2666362 (799.8 MB) with weight 235528955 (88.33/col)
Sun Apr 24 05:02:19 2022  sparse part has weight 180322636 (67.63/col)
Sun Apr 24 05:02:34 2022  filtering completed in 2 passes
Sun Apr 24 05:02:35 2022  matrix is 2663753 x 2663930 (799.6 MB) with weight 235446575 (88.38/col)
Sun Apr 24 05:02:35 2022  sparse part has weight 180295063 (67.68/col)
Sun Apr 24 05:02:38 2022  matrix starts at (0, 0)
Sun Apr 24 05:02:39 2022  matrix is 2663753 x 2663930 (799.6 MB) with weight 235446575 (88.38/col)
Sun Apr 24 05:02:39 2022  sparse part has weight 180295063 (67.68/col)
Sun Apr 24 05:02:39 2022  saving the first 48 matrix rows for later
Sun Apr 24 05:02:39 2022  matrix includes 64 packed rows
Sun Apr 24 05:02:40 2022  matrix is 2663705 x 2663930 (757.8 MB) with weight 186545724 (70.03/col)
Sun Apr 24 05:02:40 2022  sparse part has weight 172010322 (64.57/col)
Sun Apr 24 05:02:40 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun Apr 24 05:02:48 2022  commencing Lanczos iteration (6 threads)
Sun Apr 24 05:02:48 2022  memory use: 611.7 MB
Sun Apr 24 05:02:51 2022  linear algebra at 0.1%, ETA 1h27m
Sun Apr 24 05:02:52 2022  checkpointing every 1830000 dimensions
Sun Apr 24 06:34:42 2022  lanczos halted after 42132 iterations (dim = 2663699)
Sun Apr 24 06:34:44 2022  recovered 35 nontrivial dependencies
Sun Apr 24 06:34:44 2022  BLanczosTime: 5709
Sun Apr 24 06:34:44 2022  elapsed time 01:35:10
Sun Apr 24 06:34:44 2022 -> Running square root step ...
Sun Apr 24 06:34:44 2022 -> msieve-1.53-SVN998-win64-core2 -s 45444_191\45444_191.dat -l 45444_191\45444_191.log -i 45444_191\45444_191.ini -nf 45444_191\45444_191.fb -t 6 -nc3
Sun Apr 24 06:34:44 2022  
Sun Apr 24 06:34:44 2022  
Sun Apr 24 06:34:44 2022  Msieve v. 1.53 (SVN unknown)
Sun Apr 24 06:34:44 2022  random seeds: 6ce32ce0 2061ee7f
Sun Apr 24 06:34:44 2022  factoring 3122698874230197757553281349519120159633187992333896131553473344026061194338261224940894921395409123974506441164219911096748399209357329921 (139 digits)
Sun Apr 24 06:34:45 2022  searching for 15-digit factors
Sun Apr 24 06:34:45 2022  commencing number field sieve (139-digit input)
Sun Apr 24 06:34:45 2022  R0: -100000000000000000000000000000000000000
Sun Apr 24 06:34:45 2022  R1: 1
Sun Apr 24 06:34:45 2022  A0: -2
Sun Apr 24 06:34:45 2022  A1: 0
Sun Apr 24 06:34:45 2022  A2: 0
Sun Apr 24 06:34:45 2022  A3: 0
Sun Apr 24 06:34:45 2022  A4: 0
Sun Apr 24 06:34:45 2022  A5: 2045
Sun Apr 24 06:34:45 2022  skew 0.25, size 1.164e-13, alpha 1.363, combined = 2.255e-11 rroots = 1
Sun Apr 24 06:34:45 2022  
Sun Apr 24 06:34:45 2022  commencing square root phase
Sun Apr 24 06:34:45 2022  reading relations for dependency 1
Sun Apr 24 06:34:45 2022  read 1332345 cycles
Sun Apr 24 06:34:47 2022  cycles contain 4268272 unique relations
Sun Apr 24 06:35:19 2022  read 4268272 relations
Sun Apr 24 06:35:33 2022  multiplying 4268272 relations
Sun Apr 24 06:37:11 2022  multiply complete, coefficients have about 140.19 million bits
Sun Apr 24 06:37:12 2022  initial square root is modulo 107441
Sun Apr 24 06:39:06 2022  GCD is N, no factor found
Sun Apr 24 06:39:06 2022  reading relations for dependency 2
Sun Apr 24 06:39:06 2022  read 1330664 cycles
Sun Apr 24 06:39:08 2022  cycles contain 4265368 unique relations
Sun Apr 24 06:39:40 2022  read 4265368 relations
Sun Apr 24 06:39:54 2022  multiplying 4265368 relations
Sun Apr 24 06:41:32 2022  multiply complete, coefficients have about 140.09 million bits
Sun Apr 24 06:41:33 2022  initial square root is modulo 106591
Sun Apr 24 06:43:27 2022  GCD is N, no factor found
Sun Apr 24 06:43:27 2022  reading relations for dependency 3
Sun Apr 24 06:43:27 2022  read 1331668 cycles
Sun Apr 24 06:43:28 2022  cycles contain 4268650 unique relations
Sun Apr 24 06:44:00 2022  read 4268650 relations
Sun Apr 24 06:44:15 2022  multiplying 4268650 relations
Sun Apr 24 06:45:53 2022  multiply complete, coefficients have about 140.20 million bits
Sun Apr 24 06:45:54 2022  initial square root is modulo 107581
Sun Apr 24 06:47:47 2022  GCD is 1, no factor found
Sun Apr 24 06:47:47 2022  reading relations for dependency 4
Sun Apr 24 06:47:47 2022  read 1331439 cycles
Sun Apr 24 06:47:48 2022  cycles contain 4264920 unique relations
Sun Apr 24 06:48:21 2022  read 4264920 relations
Sun Apr 24 06:48:35 2022  multiplying 4264920 relations
Sun Apr 24 06:50:13 2022  multiply complete, coefficients have about 140.08 million bits
Sun Apr 24 06:50:14 2022  initial square root is modulo 106501
Sun Apr 24 06:52:06 2022  GCD is N, no factor found
Sun Apr 24 06:52:06 2022  reading relations for dependency 5
Sun Apr 24 06:52:07 2022  read 1332469 cycles
Sun Apr 24 06:52:08 2022  cycles contain 4269430 unique relations
Sun Apr 24 06:52:40 2022  read 4269430 relations
Sun Apr 24 06:52:54 2022  multiplying 4269430 relations
Sun Apr 24 06:54:33 2022  multiply complete, coefficients have about 140.23 million bits
Sun Apr 24 06:54:33 2022  initial square root is modulo 107791
Sun Apr 24 06:56:26 2022  sqrtTime: 1301
Sun Apr 24 06:56:26 2022  p47 factor: 26948173562239357552785246999641927075967620483
Sun Apr 24 06:56:26 2022  p93 factor: 115877941301588737967826977800604672423512387945253219030082362154913790590999023982114841387
Sun Apr 24 06:56:26 2022  elapsed time 00:21:42
Sun Apr 24 06:56:26 2022 -> Computing time scale for this machine...
Sun Apr 24 06:56:26 2022 -> procrels -speedtest> PIPE

1695737490579763883145260842698698551067397160540311623923347385489317095194190806622111309587990013253892538030320089201020516710210218853395426098242419702271928980981027638217<178>

217745317778975392416115392873428110197878009<45>
34710669505323367399336615967151390149239438586295652707731589761<65>
224360710374556717296412685096951634087843619336307034772757700314833<69>

Number: n
N=1695737490579763883145260842698698551067397160540311623923347385489317095194190806622111309587990013253892538030320089201020516710210218853395426098242419702271928980981027638217  ( 178 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sat Mar  5 02:21:05 2022  found factor: 34710669505323367399336615967151390149239438586295652707731589761
Sat Mar  5 02:23:07 2022  found factor: 34710669505323367399336615967151390149239438586295652707731589761
Sat Mar  5 02:25:13 2022  p45 factor: 217745317778975392416115392873428110197878009
Sat Mar  5 02:25:13 2022  p65 factor: 34710669505323367399336615967151390149239438586295652707731589761
Sat Mar  5 02:25:13 2022  p69 factor: 224360710374556717296412685096951634087843619336307034772757700314833
Sat Mar  5 02:25:13 2022  elapsed time 00:54:29 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 409x10^192-4 = 454(192)
#
n: 1695737490579763883145260842698698551067397160540311623923347385489317095194190806622111309587990013253892538030320089201020516710210218853395426098242419702271928980981027638217
m: 100000000000000000000000000000000000000
deg: 5
c5: 10225
c0: -1
skew: 0.16
# Murphy_E = 2.411e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3904550 hash collisions in 33445474 relations (30775900 unique)
Msieve: matrix is 1461061 x 1461286 (508.9 MB)

Sieving start time : 2022/03/04 19:25:35
Sieving end time  : 2022/03/05 01:30:10

Total sieving time: 6hrs 4min 35secs.

Total relation processing time: 0hrs 39min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 15sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119529] 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)
[    0.153528] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798128)
[    0.152048] smpboot: Total of 16 processors activated (102385.02 BogoMIPS)

124704259608666668168665285312020678952126969778376682770691490759179782063459839095005135759017804184367809640061802385823<123>

23201632588686241461531322167389859474552874361772697<53>
5374805377681737724052203648346116408038189819125012645860458148391159<70>

23201632588686241461531322167389859474552874361772697 5374805377681737724052203648346116408038189819125012645860458148391159

n: 124704259608666668168665285312020678952126969778376682770691490759179782063459839095005135759017804184367809640061802385823
skew: 54808.679
c0: -31982655754690180326798273240
c1: -184838964346310535463914
c2: 54073442467527917023
c3: -307435992362483
c4: 1462145226
c5: 70200
Y0: -401364332968031036721009
Y1: 581037415092246559
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.457e-07
# f(x) = 70200*x^5+1462145226*x^4-307435992362483*x^3+54073442467527917023*x^2-184838964346310535463914*x-31982655754690180326798273240
# g(x) = 581037415092246559*x-401364332968031036721009

cado-nfs 3.0.0

761830908152921898349481713778334064789521884604508568385656907286950045961749859169458526790533589381911969278264854930265843941763<132>

11874317983990612226038670567534554264103<41>
64157866513264177539322782613591746921091943830179595199107767021541052742846043337483025221<92>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1806239603
Step 1 took 4844ms
Step 2 took 2969ms
********** Factor found in step 2: 11874317983990612226038670567534554264103
Found prime factor of 41 digits: 11874317983990612226038670567534554264103
Prime cofactor 64157866513264177539322782613591746921091943830179595199107767021541052742846043337483025221 has 92 digits

GMP-ECM

26127315576797350205943819469978756723238658325191600099738915519229720423195765126807285969667435891994170619625070039479873773886056802530740321<146>

354912336516417359005398853191677094856129<42>

73616250799410478615297209663496441444097140392639395955784886706058416172663585100968800264124033510049<104>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4237335750
Step 1 took 21469ms
********** Factor found in step 1: 354912336516417359005398853191677094856129
Found prime factor of 42 digits: 354912336516417359005398853191677094856129
Composite cofactor 73616250799410478615297209663496441444097140392639395955784886706058416172663585100968800264124033510049 has 104 digits
 

GMP-ECM

73616250799410478615297209663496441444097140392639395955784886706058416172663585100968800264124033510049<104>

1792858059502880736051780648269248971320303<43>
41060836026150676533598963225828270240167869221924731871478383<62>

N=73616250799410478615297209663496441444097140392639395955784886706058416172663585100968800264124033510049
  ( 104 digits)
Divisors found:
p43 factor: 1792858059502880736051780648269248971320303
p62 factor: 41060836026150676533598963225828270240167869221924731871478383
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.85 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 73616250799410478615297209663496441444097140392639395955784886706058416172663585100968800264124033510049
skew: 1341087.91
c0: -9126075704675872246578654765
c1: 30443441456778118377657
c2: 19417037567316421
c3: -14456054473
c4: 9660
Y0: -9343280255183396482055698
Y1: 13432938108641
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1780001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 249061 x 249288
Total sieving time: 4.76 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 4.85 hours.
 --------- CPU info (if available) ----------

141744021083642893519298395278908762683491959472772412521474725385749869729175156362032352632532860180514153815066098646511564932879201072193674002979<150>

63221781346222028594067795143332272623<38>
2242012453072285228463424309500431077566409382510923523611632307648506417399341110648273029803270476850429730573<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1898757868
Step 1 took 5922ms
Step 2 took 3453ms
********** Factor found in step 2: 63221781346222028594067795143332272623
Found prime factor of 38 digits: 63221781346222028594067795143332272623
Prime cofactor 2242012453072285228463424309500431077566409382510923523611632307648506417399341110648273029803270476850429730573 has 112 digits
 

GMP-ECM

1645395822023272048663576044996902798416556117224170092191692688720292232029140038866684172381043536324137261825152826214077761027552832236394467606675027039414571<163>

2833126007549561286605129510866638673117625686027<49>
580770434367800818232433634732590888133486946360312494589981486629329109206284224613700479354935682315733103019873<114>

1645395822023272048663576044996902798416556117224170092191692688720292232029140038866684172381043536324137261825152826214077761027552832236394467606675027039414571=2833126007549561286605129510866638673117625686027*580770434367800818232433634732590888133486946360312494589981486629329109206284224613700479354935682315733103019873

cado polynomial
n: 1645395822023272048663576044996902798416556117224170092191692688720292232029140038866684172381043536324137261825152826214077761027552832236394467606675027039414571
skew: 0.31
type: snfs
c0: -5
c5: 1636
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 1636*x^5-5
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16100000
tasks.lim1 = 16100000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2833126007549561286605129510866638673117625686027 580770434367800818232433634732590888133486946360312494589981486629329109206284224613700479354935682315733103019873
Info:Square Root: Total cpu/real time for sqrt: 849.41/269.144
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 188.31/226.227
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 222.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.84/3.096
Info:Filtering - Singleton removal: Total cpu/real time for purge: 203.08/219.135
Info:Quadratic Characters: Total cpu/real time for characters: 99.1/42.8044
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43280982
Info:Lattice Sieving: Average J: 3794.86 for 1591166 special-q, max bucket fill -bkmult 1.0,1s:1.134100
Info:Lattice Sieving: Total time: 926640s
Info:Square Root: Total cpu/real time for sqrt: 849.41/269.144
Info:Generate Free Relations: Total cpu/real time for freerel: 235.42/60.4328
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 484.25/403.724
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 376.9s
Info:Filtering - Merging: Merged matrix has 2681590 rows and total weight 456433081 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 740.81/204.109
Info:Filtering - Merging: Total cpu/real time for replay: 106.38/93.5885
Info:Linear Algebra: Total cpu/real time for bwc: 127298/32670
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 81680.21, WCT time 20851.15, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (83968 iterations)
Info:Linear Algebra: Lingen CPU time 587.32, WCT time 149.65
Info:Linear Algebra: Mksol: CPU time 44048.68,  WCT time 11297.98, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41984 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.92374e+06/78238.9
2833126007549561286605129510866638673117625686027 580770434367800818232433634732590888133486946360312494589981486629329109206284224613700479354935682315733103019873

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1436993408860880966733628594913766262823227874269470850531254448184909587421113428818533686457170956186988135937473854185595310397878714952530494653280216357358728040152838151777<178>

50054806397275136599625354287123447249751679879377<50>
28708400097599966652610820025203346642299980626120587751838572019143534270099179168329920989252828925308199120120335491145261201<128>

Number: n
N=1436993408860880966733628594913766262823227874269470850531254448184909587421113428818533686457170956186988135937473854185595310397878714952530494653280216357358728040152838151777  ( 178 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Mar  6 03:12:18 2022  p50 factor: 50054806397275136599625354287123447249751679879377
Sun Mar  6 03:12:18 2022  p128 factor: 28708400097599966652610820025203346642299980626120587751838572019143534270099179168329920989252828925308199120120335491145261201
Sun Mar  6 03:12:18 2022  elapsed time 01:41:09 (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 = 409x10^200-4 = 454(200)
#
n: 1436993408860880966733628594913766262823227874269470850531254448184909587421113428818533686457170956186988135937473854185595310397878714952530494653280216357358728040152838151777
m: 10000000000000000000000000000000000000000
deg: 5
c5: 409
c0: -4
skew: 0.40
# Murphy_E = 1.033e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5000336 hash collisions in 33405921 relations (30068491 unique)
Msieve: matrix is 2091134 x 2091359 (726.5 MB)

Sieving start time : 2022/03/05 13:16:54
Sieving end time  : 2022/03/06 01:30:28

Total sieving time: 12hrs 13min 34secs.
Total relation processing time: 1hrs 29min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 37sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16700000,16700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119529] 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)
[    0.153528] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798128)
[    0.152048] smpboot: Total of 16 processors activated (102385.02 BogoMIPS)

1974170671810917628745280992602025844502907761217823063536071775420217394102264494024476808107391928877727072445557322706371998441921974768027027542302817273595947<163>

48243592929990726912069582610566987777683608230760170944910540667229<68>
40920888182514914768384524449255740501726527663364854018327215509361095609552852081031920731943<95>

Number: n
N=1974170671810917628745280992602025844502907761217823063536071775420217394102264494024476808107391928877727072445557322706371998441921974768027027542302817273595947  ( 163 digits)
SNFS difficulty: 203 digits.
Divisors found:

Wed Sep 27 02:51:24 2023  prp68 factor: 48243592929990726912069582610566987777683608230760170944910540667229
Wed Sep 27 02:51:24 2023  prp95 factor: 40920888182514914768384524449255740501726527663364854018327215509361095609552852081031920731943
Wed Sep 27 02:51:24 2023  elapsed time 02:36:39 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
#
# N = 409x10^201-4 = 454(201)
#
n: 1974170671810917628745280992602025844502907761217823063536071775420217394102264494024476808107391928877727072445557322706371998441921974768027027542302817273595947
m: 1000000000000000000000000000000000
deg: 6
c6: 102250
c0: -1
skew: 0.15
# Murphy_E = 9.574e-12
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3243171 hash collisions in 19347356 relations (16823504 unique)
Msieve: matrix is 2124155 x 2124380 (606.5 MB)

Sieving start time: 2023/09/26 05:31:08
Sieving end time  : 2023/09/27 00:14:12

Total sieving time: 18hrs 43min 4secs.

Total relation processing time: 2hrs 14min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 55sec.

Prototype def-par.txt line would be:
snfs,203,6,0,0,0,0,0,0,0,0,16900000,16900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

404310003954132068011071569790431000395413206801107156979043100039541320680110715697904310003954132068011071569790431000395413206801107156979043100039541320680110715697904310003954132068011071569790431<201>

13407527707359983614954361933607054050121462981832683056356481<62>
30155447952733930594627134911323284273982606639177956802676768168794494102803673521272017576195443802034067406661724983113022095922946617951<140>

Number: n
N=404310003954132068011071569790431000395413206801107156979043100039541320680110715697904310003954132068011071569790431000395413206801107156979043100039541320680110715697904310003954132068011071569790431  ( 201 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri Aug  4 23:34:45 2023  prp62 factor: 13407527707359983614954361933607054050121462981832683056356481
Fri Aug  4 23:34:45 2023  prp140 factor: 30155447952733930594627134911323284273982606639177956802676768168794494102803673521272017576195443802034067406661724983113022095922946617951
Fri Aug  4 23:34:45 2023  elapsed time 03:38:11 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 409x10^202-4 = 454(202)
#
n: 404310003954132068011071569790431000395413206801107156979043100039541320680110715697904310003954132068011071569790431000395413206801107156979043100039541320680110715697904310003954132068011071569790431
m: 10000000000000000000000000000000000000000
deg: 5
c5: 10225
c0: -1
skew: 0.16
# Murphy_E = 9.22e-12
type: snfs
lss: 1
rlim: 17600000
alim: 17600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17600000/17600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2931195 hash collisions in 16387792 relations (14088042 unique)
Msieve: matrix is 2585406 x 2585631 (734.6 MB)

Sieving start time: 2023/08/04 05:14:13
Sieving end time  : 2023/08/04 19:56:12

Total sieving time: 14hrs 41min 59secs.

Total relation processing time: 3hrs 30min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 30sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17600000,17600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

8441650697792454696410365177675547174658107356853553846111993511406941363183225083141667667342789402791890615346386575859677586721962299977064217268348811863478203033<166>

34197054046936786575345252403865623502786196991657916355683<59>
246853155426954638393262345577830215121332370526362333597251231232012376146932630286740199936209944161130451<108>

Number: n
N=8441650697792454696410365177675547174658107356853553846111993511406941363183225083141667667342789402791890615346386575859677586721962299977064217268348811863478203033  ( 166 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Sep 24 15:13:20 2023  prp59 factor: 34197054046936786575345252403865623502786196991657916355683
Sun Sep 24 15:13:20 2023  prp108 factor: 246853155426954638393262345577830215121332370526362333597251231232012376146932630286740199936209944161130451
Sun Sep 24 15:13:20 2023  elapsed time 03:53:38 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 409x10^203-4 = 454(203)
#
n: 8441650697792454696410365177675547174658107356853553846111993511406941363183225083141667667342789402791890615346386575859677586721962299977064217268348811863478203033
m: 10000000000000000000000000000000000000000
deg: 5
c5: 102250
c0: -1
skew: 0.10
# Murphy_E = 6.853e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3747699 hash collisions in 18660094 relations (15475683 unique)
Msieve: matrix is 2647156 x 2647381 (747.8 MB)

Sieving start time: 2023/09/23 11:58:08
Sieving end time  : 2023/09/24 11:19:18

Total sieving time: 23hrs 21min 10secs.

Total relation processing time: 3hrs 34min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 17sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

21152898284142505544449158726549947295776310417623235879802213613896518190478312018506310495942568940187670607214636119199722892966123930681231<143>

10003207651819000434336938663465484998440327376636243822197<59>
2114611534660687189118529225229852397452258377807334520144726869390602652017540683123<85>

21152898284142505544449158726549947295776310417623235879802213613896518190478312018506310495942568940187670607214636119199722892966123930681231=10003207651819000434336938663465484998440327376636243822197*2114611534660687189118529225229852397452258377807334520144726869390602652017540683123

cado polynomial
n: 21152898284142505544449158726549947295776310417623235879802213613896518190478312018506310495942568940187670607214636119199722892966123930681231
skew: 120339.051
c0: 2771476925053910992253599893310
c1: -120364888089109927528139239
c2: -11118807299559910514454
c3: 3140512683048451
c4: 57990238436
c5: 911280
Y0: -2152989416693905364731135068
Y1: 119781553085273298463
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.173e-07
# f(x) = 911280*x^5+57990238436*x^4+3140512683048451*x^3-11118807299559910514454*x^2-120364888089109927528139239*x+2771476925053910992253599893310
# g(x) = 119781553085273298463*x-2152989416693905364731135068

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2114611534660687189118529225229852397452258377807334520144726869390602652017540683123 10003207651819000434336938663465484998440327376636243822197
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2418.66/166.554
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 553.82/407.379
Info:Filtering - Merging: Merged matrix has 3482980 rows and total weight 592182262 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 694.32/43.8489
Info:Filtering - Merging: Total cpu/real time for replay: 73.77/64.3933
Info:Generate Factor Base: Total cpu/real time for makefb: 7.9/0.560299
Info:Generate Free Relations: Total cpu/real time for freerel: 235.03/13.7933
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 788.55/582.909
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 418.1s
Info:Linear Algebra: Total cpu/real time for bwc: 142400/14661.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 90905.86, WCT time 9462.08, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (109056 iterations)
Info:Linear Algebra: Lingen CPU time 711.88, WCT time 48.99
Info:Linear Algebra: Mksol: CPU time 49877.33,  WCT time 5053.27, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (54784 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47477264
Info:Lattice Sieving: Average J: 3773.39 for 948628 special-q, max bucket fill -bkmult 1.0,1s:1.195420
Info:Lattice Sieving: Total time: 906107s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3111.34
Info:Polynomial Selection (root optimized): Rootsieve time: 3109.84
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 81888.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56980/42.790/51.274/55.690/0.922
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 47030/41.180/45.638/51.950/0.926
Info:Polynomial Selection (size optimized): Total time: 29694.9
Info:Square Root: Total cpu/real time for sqrt: 2418.66/166.554
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 191.45/154.625
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 154.19999999999996s
Info:Quadratic Characters: Total cpu/real time for characters: 96.5/21.8947
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.90351e+06/92567.7
Info:root: Cleaning up computation data in /tmp/cado.0wtm9l89
2114611534660687189118529225229852397452258377807334520144726869390602652017540683123 10003207651819000434336938663465484998440327376636243822197

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

2127963314544586459818361779852920917662480007246176169261045366762115377764513897317692538654488003341307118043184349070778671795588720263610160030270445604846533041195770237359712822447666101<193>

3781304840642217831974019893679499044737<40>

562758995697150033975536681405315025217129813686165661358047553704971264883351528228871132306038230059776328629752202403886265308825925410588208605201973<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1977664946
Step 1 took 8167ms
Step 2 took 3851ms
********** Factor found in step 2: 3781304840642217831974019893679499044737
Found probable prime factor of 40 digits: 3781304840642217831974019893679499044737
Composite cofactor 562758995697150033975536681405315025217129813686165661358047553704971264883351528228871132306038230059776328629752202403886265308825925410588208605201973 has 153 digits

562758995697150033975536681405315025217129813686165661358047553704971264883351528228871132306038230059776328629752202403886265308825925410588208605201973<153>

3737756639351876200742310383650034021354523285281<49>
150560630345032832777842902269860684828199908846486056198357529920127931442387188173592591911713779011733<105>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 562758995697150033975536681405315025217129813686165661358047553704971264883351528228871132306038230059776328629752202403886265308825925410588208605201973 (153 digits)
Using B1=27710000, B2=144287213086, polynomial Dickson(12), sigma=1:4020016675
Step 1 took 48361ms
Step 2 took 20428ms
********** Factor found in step 2: 3737756639351876200742310383650034021354523285281
Found prime factor of 49 digits: 3737756639351876200742310383650034021354523285281
Prime cofactor 150560630345032832777842902269860684828199908846486056198357529920127931442387188173592591911713779011733 has 105 digits

80705885315957596602349795408680606810054799951953324109540199056289026030815390609989580728025018355459951258856352221755521385580547848400770984720454627513413760807512077725396515743<185>

374169220800108302991301586527646212473702792635643905672238513073098484486595704189147<87>
215693544069123059056071532444034350396760883573734041845010914855706759833888335073138072961001869<99>

10/14/24 07:09:02 v1.34.5 @ RYZEN-9,
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, ****************************
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, Starting factorization of 408999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999996
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, ****************************
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, div: found prime factor = 7
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, div: found prime factor = 449
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C204
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C204
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, prp8 = 16937197
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C197
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C197
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C197
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.62
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, prp12 = 293823935843 (curve 8 stg1 B1=2000 sigma=2874648055 thread=0)
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, Finished 8 curves using Lenstra ECM method on C197 input, B1=2K, B2=gmp-ecm default
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, scheduled 22 curves at B1=2000 toward target pretesting depth of 56.92
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, Finished 22 curves using Lenstra ECM method on C185 input, B1=2K, B2=gmp-ecm default
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/14/24 07:09:02 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 56.92
10/14/24 07:09:05 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C185 input, B1=11K, B2=gmp-ecm default
10/14/24 07:09:05 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/14/24 07:09:05 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 56.92
10/14/24 07:09:40 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 408999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999996
10/14/24 07:09:40 v1.34.5 @ RYZEN-9, nfs: input divides 409*10^207 - 4
10/14/24 07:09:40 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 80705885315957596602349795408680606810054799951953324109540199056289026030815390609989580728025018355459951258856352221755521385580547848400770984720454627513413760807512077725396515743
10/14/24 07:09:40 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c185: 80705885315957596602349795408680606810054799951953324109540199056289026030815390609989580728025018355459951258856352221755521385580547848400770984720454627513413760807512077725396515743
10/14/24 07:09:40 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 80705885315957596602349795408680606810054799951953324109540199056289026030815390609989580728025018355459951258856352221755521385580547848400770984720454627513413760807512077725396515743
# 409*10^207-4, difficulty: 212.61, anorm: -4.44e+033, rnorm: 2.62e+040
# scaled difficulty: 213.74, suggest sieving rational side
# size = 2.332e-010, alpha = -2.210, combined = 6.059e-012, rroots = 2
type: snfs
size: 212
skew: 0.1462
c6: 102250
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
n: 80705885315957596602349795408680606810054799951953324109540199056289026030815390609989580728025018355459951258856352221755521385580547848400770984720454627513413760807512077725396515743
# 409*10^207-4, difficulty: 211.61, anorm: -2.85e+026, rnorm: 2.52e+047
# scaled difficulty: 215.10, suggest sieving rational side
# size = 1.322e-014, alpha = 0.293, combined = 5.663e-012, rroots = 1
type: snfs
size: 211
skew: 0.1578
c5: 10225
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 80705885315957596602349795408680606810054799951953324109540199056289026030815390609989580728025018355459951258856352221755521385580547848400770984720454627513413760807512077725396515743
# 409*10^207-4, difficulty: 210.51, anorm: -4.67e+026, rnorm: 3.56e+047
# scaled difficulty: 214.00, suggest sieving rational side
# size = 8.992e-015, alpha = -0.631, combined = 4.524e-012, rroots = 1
type: snfs
size: 210
skew: 0.3156
c5: 10225
c0: -32
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
10/14/24 07:09:43 v1.34.5 @ RYZEN-9, test: fb generation took 2.7813 seconds
10/14/24 07:09:43 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23802000
skew: 0.1462
c6: 102250
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/14/24 07:13:03 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/14/24 07:13:05 v1.34.5 @ RYZEN-9, test: fb generation took 1.8750 seconds
10/14/24 07:13:05 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 0.1578
c5: 10225
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/14/24 07:16:14 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/14/24 07:16:15 v1.34.5 @ RYZEN-9, test: fb generation took 1.7813 seconds
10/14/24 07:16:15 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.3156
c5: 10225
c0: -32
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/14/24 07:19:27 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/14/24 07:19:27 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 80705885315957596602349795408680606810054799951953324109540199056289026030815390609989580728025018355459951258856352221755521385580547848400770984720454627513413760807512077725396515743
# 409*10^207-4, difficulty: 211.61, anorm: -2.85e+026, rnorm: 2.52e+047
# scaled difficulty: 215.10, suggest sieving rational side
# size = 1.322e-014, alpha = 0.293, combined = 5.663e-012, rroots = 1
type: snfs
size: 211
skew: 0.1578
c5: 10225
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
10/15/24 17:11:36 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/15/24 17:18:21 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
10/16/24 00:11:53 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
10/16/24 00:42:36 v1.34.5 @ RYZEN-9, prp87 = 374169220800108302991301586527646212473702792635643905672238513073098484486595704189147
10/16/24 00:42:36 v1.34.5 @ RYZEN-9, prp99 = 215693544069123059056071532444034350396760883573734041845010914855706759833888335073138072961001869
10/16/24 00:42:36 v1.34.5 @ RYZEN-9, NFS elapsed time = 149576.5022 seconds.
10/16/24 00:42:36 v1.34.5 @ RYZEN-9,
10/16/24 00:42:36 v1.34.5 @ RYZEN-9,
10/14/24 07:19:27 v1.34.5 @ RYZEN-9, test: test sieving took 587.17 seconds

YAFU

3215226584820446076908196561281357904258274394460456416760230813564369199060100116841686610480437280008842867153607206921<121>

18938058877543193452748078025551942480940365039<47>
169775931398812542752776169011142213660456028527596349895568064032629973639<75>

3215226584820446076908196561281357904258274394460456416760230813564369199060100116841686610480437280008842867153607206921=18938058877543193452748078025551942480940365039*169775931398812542752776169011142213660456028527596349895568064032629973639

cado polynomial
n: 3215226584820446076908196561281357904258274394460456416760230813564369199060100116841686610480437280008842867153607206921
skew: 6089.954
c0: 4907781122572908054403160
c1: -1763465822188283711265
c2: -602001458584480316
c3: 142754101783597
c4: 8501147648
c5: 297120
Y0: -129767904600993623414836
Y1: 731795798860779521
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.409e-06
# f(x) = 297120*x^5+8501147648*x^4+142754101783597*x^3-602001458584480316*x^2-1763465822188283711265*x+4907781122572908054403160
# g(x) = 731795798860779521*x-129767904600993623414836

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: 169775931398812542752776169011142213660456028527596349895568064032629973639 18938058877543193452748078025551942480940365039
Info:Square Root: Total cpu/real time for sqrt: 246.39/72.6732
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 144.31/130.846
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 113.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 64.65/75.0402
Info:Linear Algebra: Total cpu/real time for bwc: 5897.38/1529.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3602.34, WCT time 930.64, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Linear Algebra: Lingen CPU time 132.0, WCT time 33.59
Info:Linear Algebra: Mksol: CPU time 2083.91,  WCT time 537.31, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13582709
Info:Lattice Sieving: Average J: 1893.28 for 284294 special-q, max bucket fill -bkmult 1.0,1s:1.263810
Info:Lattice Sieving: Total time: 34066.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/1.37381
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1772.14
Info:Polynomial Selection (root optimized): Rootsieve time: 1769.78
Info:Generate Free Relations: Total cpu/real time for freerel: 127.53/33.1556
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.3/57.4463
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.2s
Info:Filtering - Merging: Merged matrix has 774407 rows and total weight 78740373 (101.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.15/19.585
Info:Filtering - Merging: Total cpu/real time for replay: 19.38/15.3465
Info:Quadratic Characters: Total cpu/real time for characters: 25.01/9.5685
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): 20067/35.600/43.106/47.420/1.037
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16033/34.200/38.149/43.560/0.849
Info:Polynomial Selection (size optimized): Total time: 2247.77
Info:Square Root: Total cpu/real time for sqrt: 246.39/72.6732
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 73628.7/20140.3
Info:root: Cleaning up computation data in /tmp/cado.9v9sbrb6
169775931398812542752776169011142213660456028527596349895568064032629973639 18938058877543193452748078025551942480940365039

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)

59549244700076415982146893909607857667798304702810439722468249343587452006495257627230665516065453714608888752035152435468988813130064323097210441869905551581727197199186451<173>

50464125434616352940050168859730676863261792214651007920551200431783651024202779404781110498801319201577992380996479892268724186531604762659219413813275452062012271126749669972742923279754191692534433<200>

4623350022233942997124238870736478240921345966382162819906889444678766542991885700343152099010075017525063277277738757887250161700397235641948409588067733142566619337631138968850144701<184>

293355850878379511024969498973967022458052164809749142996196866932527283242781956907906629010529791844936602313968155364212932048956121333238496730526737868420840376446237395744043259773711<189>

37344330942412698155239620761615782198699423<44>
7855431961835188385946736818190804000135104002260374994582747837374261508692450594432653970005051124695551548605462727433420681812178376522714257<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:238222177
Step 1 took 27228ms
Step 2 took 12028ms
********** Factor found in step 2: 37344330942412698155239620761615782198699423
Found prime factor of 44 digits: 37344330942412698155239620761615782198699423
Prime cofactor 7855431961835188385946736818190804000135104002260374994582747837374261508692450594432653970005051124695551548605462727433420681812178376522714257 has 145 digits

313931943825748074636470240611433333439968442995765297456698044523470776821874657091921654610169690398059884633634161405561244243615366509695314844155644692787<159>

2811934699631324309461339668492535392749933820028666307249420496155073819749271979236340496187450362320284815077768456194344835466443610029193626830326479960519338191558556570693566978219102016821<196>

36060326516051048398975820902063145845719968014700570992184491<62>
77978625578436890087954007508739127953629965133465502487610696197489251616593774121966635794791211272432515295112174321913432039433631<134>

Number: 45444_219
N = 2811934699631324309461339668492535392749933820028666307249420496155073819749271979236340496187450362320284815077768456194344835466443610029193626830326479960519338191558556570693566978219102016821 (196 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=36060326516051048398975820902063145845719968014700570992184491 (pp62)
r2=77978625578436890087954007508739127953629965133465502487610696197489251616593774121966635794791211272432515295112174321913432039433631 (pp134)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.47 hours.
Factorization parameters were as follows:
n: 2811934699631324309461339668492535392749933820028666307249420496155073819749271979236340496187450362320284815077768456194344835466443610029193626830326479960519338191558556570693566978219102016821
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 409
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: 31076590
Relations: 7490660 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.52 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6443666 x 6443892
Matrix solve time: 36.15 hours.
time per square root: 0.38 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: 49.47 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

7272766503510690364115664667415885890992411607719067024403031750925667974938690643134205025471233448971518880545175030344955791268063984609897<142>

6465049773667813760319161561017894824613<40>
1124935887289330958582707273187771391054802246552126876113998031825481563194868572036255888948147153269<103>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7272766503510690364115664667415885890992411607719067024403031750925667974938690643134205025471233448971518880545175030344955791268063984609897 (142 digits)

Run 135 out of 1000:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1941367272
Step 1 took 12297ms
Step 2 took 6015ms
********** Factor found in step 2: 6465049773667813760319161561017894824613
Found prime factor of 40 digits: 6465049773667813760319161561017894824613
Prime cofactor 1124935887289330958582707273187771391054802246552126876113998031825481563194868572036255888948147153269 has 103 digits

8255385175590600936780917120050659880960307558145506821038486425267067948121829672322755896450137158565189133714789940658255925891497125880214616097304430526470397103128116873865839304601277148773<196>

137015735039147085348607220268289759987652705547575917022077735590942207489371890433<84>
60251365824749511991956921683916404955522931837201558846167489235745183256055786699637053540628100723195649498981<113>

Number: 45444_221
N = 8255385175590600936780917120050659880960307558145506821038486425267067948121829672322755896450137158565189133714789940658255925891497125880214616097304430526470397103128116873865839304601277148773 (196 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=137015735039147085348607220268289759987652705547575917022077735590942207489371890433 (pp84)
r2=60251365824749511991956921683916404955522931837201558846167489235745183256055786699637053540628100723195649498981 (pp113)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 48.36 hours.
Factorization parameters were as follows:
n: 8255385175590600936780917120050659880960307558145506821038486425267067948121829672322755896450137158565189133714789940658255925891497125880214616097304430526470397103128116873865839304601277148773
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2045
c0: -2
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: 30334011
Relations: 8793368 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.02 hours.
Total relation processing time: 0.47 hours.
Pruned matrix : 7430059 x 7430284
Matrix solve time: 31.95 hours.
time per square root: 0.92 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 48.36 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

44667018743256327758801852262099378911801815236499408418289716790148312640057942959962170378057798333583605812900258374703<122>

109619308437951396806279137390668607759215636170107425872027<60>
407474005991741141738175036710600066779558738041734198675220989<63>

44667018743256327758801852262099378911801815236499408418289716790148312640057942959962170378057798333583605812900258374703=109619308437951396806279137390668607759215636170107425872027*407474005991741141738175036710600066779558738041734198675220989

cado polynomial
n: 44667018743256327758801852262099378911801815236499408418289716790148312640057942959962170378057798333583605812900258374703
skew: 87909.079
c0: -3587161771408457238778150848
c1: -857384456229087226379504
c2: 9282290042900391180
c3: 166242569314976
c4: -195155997
c5: 2340
Y0: -565862915127618124633747
Y1: 104523769307934767
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.257e-06
# f(x) = 2340*x^5-195155997*x^4+166242569314976*x^3+9282290042900391180*x^2-857384456229087226379504*x-3587161771408457238778150848
# g(x) = 104523769307934767*x-565862915127618124633747

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: 407474005991741141738175036710600066779558738041734198675220989 109619308437951396806279137390668607759215636170107425872027
Info:Square Root: Total cpu/real time for sqrt: 216.22/65.8352
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 199.08/193.256
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 157.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 125.46/144.272
Info:Generate Free Relations: Total cpu/real time for freerel: 127.59/77.2554
Info:Linear Algebra: Total cpu/real time for bwc: 5967.51/1551.72
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3644.03, WCT time 944.19, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 147.46, WCT time 37.59
Info:Linear Algebra: Mksol: CPU time 2094.74,  WCT time 541.17, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 14041045
Info:Lattice Sieving: Average J: 1899.33 for 343116 special-q, max bucket fill -bkmult 1.0,1s:1.277400
Info:Lattice Sieving: Total time: 43384.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/3.74251
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1869.45
Info:Polynomial Selection (root optimized): Rootsieve time: 1866.89
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.04/61.1739
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.7s
Info:Filtering - Merging: Merged matrix has 789492 rows and total weight 79611530 (100.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 61.02/19.8393
Info:Filtering - Merging: Total cpu/real time for replay: 19.35/15.3354
Info:Quadratic Characters: Total cpu/real time for characters: 24.7/9.4832
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): 20051/35.380/43.559/50.330/1.052
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16070/33.610/38.565/44.020/0.860
Info:Polynomial Selection (size optimized): Total time: 2209.37
Info:Square Root: Total cpu/real time for sqrt: 216.22/65.8352
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 86018.1/25402.4
Info:root: Cleaning up computation data in /tmp/cado.jmyaevao
407474005991741141738175036710600066779558738041734198675220989 109619308437951396806279137390668607759215636170107425872027

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)

5004894762604013705335291238374938815467449828683308859520313264806656877141458639255996084189916789035731767009300048947626040137053352912383749388154674498286833088595203132648066568771414586392559960841899167890357317670093<226>

38373375597447825730782300903749672522341710581147028384107872675426566469980028026382337267593731572013435190567438868076499493735722244070153513103989949822314330116339674417681568833<185>

1144669274283705047112967624303426635476848409818321369376911055894954204528191547450444055924664136094144080746059326183136778523167363005506954507047706960193587351653761022140318967569832504346297872307774365763<214>

2602574565740483960585931746227721634371595398671829364726478974991650134482351460838553543307711269072131956195632639327126788881311836498873850701066542886910084491422469737394485018126996722537892212599446098279139501<220>

26057897186067941980910014040661212753593715286040367056133209702967081303841848519999655706992104492881774343298780247018919408541657966438465948504632251745411212115203222791594476534056685773<194>

966903863136575700310527886748481959719<39>
26949832531993151970271528815610570375889876725684040301400177999982251259724003178043969605966345893828787635996724809963992087174108886694586504976863467<155>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2237825808
Step 1 took 32950ms
Step 2 took 13345ms
********** Factor found in step 2: 966903863136575700310527886748481959719
Found prime factor of 39 digits: 966903863136575700310527886748481959719
Prime cofactor 26949832531993151970271528815610570375889876725684040301400177999982251259724003178043969605966345893828787635996724809963992087174108886694586504976863467 has 155 digits

234817633391917175170280102414935733456609720232874790185564491256401794672705556141164323427818437398307889206495526523139698923605154551339861378366877233207553756014259458672440998768384383490609476344046758678434876745429897693<231>

35496705662705269030313318745836297178072652122911292257135705728317761648907899153946001265730942261353651682370270389429237273866891346059379652975873696298865251033743914788465670953696673793780282855802834806837168886903156308051<233>

3424023253182589186081241246512770191<37>
10366958118555853915314484952128609872334657063535735985864691732314572573948652162145303760893475258600728579290387627698861276981244361698066831575937518229469080781173326032723322443143786750461<197>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2311783261
Step 1 took 28844ms
Step 2 took 10528ms
********** Factor found in step 2: 3424023253182589186081241246512770191
Found prime factor of 37 digits: 3424023253182589186081241246512770191
Prime cofactor 10366958118555853915314484952128609872334657063535735985864691732314572573948652162145303760893475258600728579290387627698861276981244361698066831575937518229469080781173326032723322443143786750461 has 197 digits

61714982405948781091374388131409153735189913146347499109734972628122717752790000060356951008262866593031186436585969423168619214031783970400951225547890222777506171498240594878109137438813140915373518991314634749910973497262812271775279<236>

5454853037458833410038760360725676053<37>

11313775455021052094924523840861338142986751779649318943807569541097990225776348335284934726226185825056244328276671943955021576386466938025213212384460203713855945231949781112009853370218026494485043<200>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:89590163
Step 1 took 14026ms
Step 2 took 5987ms
********** Factor found in step 2: 5454853037458833410038760360725676053
Found prime factor of 37 digits: 5454853037458833410038760360725676053
Composite cofactor 11313775455021052094924523840861338142986751779649318943807569541097990225776348335284934726226185825056244328276671943955021576386466938025213212384460203713855945231949781112009853370218026494485043 has 200 digits

11313775455021052094924523840861338142986751779649318943807569541097990225776348335284934726226185825056244328276671943955021576386466938025213212384460203713855945231949781112009853370218026494485043<200>

75437890770694025306535582818623986660812454819083<50>
149974705541690556122879895855478001581125539014077177450494224804253295929839906503202162817890278430558064831503616133542677569847141658179087872121<150>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3767229376
Step 1 took 36746ms
Step 2 took 11312ms
********** Factor found in step 2: 75437890770694025306535582818623986660812454819083
Found probable prime factor of 50 digits: 75437890770694025306535582818623986660812454819083
Probable prime cofactor 149974705541690556122879895855478001581125539014077177450494224804253295929839906503202162817890278430558064831503616133542677569847141658179087872121 has 150 digits

2442259313334812544696524308486571862168026712704193893082169303587725506234698630825137764231494206722887892395988661882905495192427807575002486610702089639749657158327701994842917107<184>

26970937884624368164565294293026038205039110233902788088061734406188444109767417666826856892361848855286133690863778774264908736544898091663047021726600574812013881816436350683599192924028710583161266662863039045187122520622348390818887<236>

12139231333929219863499141215961911232914268904446535625575561329324850221247513423695538372498953288384012281009003529201181060363918482188111940783636967632064371690006159746539553084275761617368305761383131685737086844779<224>

15957857871189108609161948013311993709751<41>

760705567872353679742649373957282794727442097022865235408771850236891604599780063455559845288550420335652144686889133299621715452202421350719919530522601273807665965768070464689762029<183>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1185383679
Step 1 took 8609ms
Step 2 took 4266ms
********** Factor found in step 2: 15957857871189108609161948013311993709751
Found prime factor of 41 digits: 15957857871189108609161948013311993709751
Composite cofactor 760705567872353679742649373957282794727442097022865235408771850236891604599780063455559845288550420335652144686889133299621715452202421350719919530522601273807665965768070464689762029 has 183 digits
 

GMP-ECM

38230887640823334413893384990833934371493554590155537085082700233572963415377379054857678276517934492635927163522386474827998395237459614535439565472778673259204670412358914938237954279223447480107786799893364800438505477018656299272510141<239>

304328265984061485257649941041718237781474689<45>

125623847384671103660889321646203097148527679916310138057050566878593220770489275279029025248904001775528281968848807084047233002974103199375547377147191192148254810573108208151773506490934129469<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4002878272
Step 1 took 11664ms
Step 2 took 4885ms
********** Factor found in step 2: 304328265984061485257649941041718237781474689
Found prime factor of 45 digits: 304328265984061485257649941041718237781474689
Composite cofactor 125623847384671103660889321646203097148527679916310138057050566878593220770489275279029025248904001775528281968848807084047233002974103199375547377147191192148254810573108208151773506490934129469 has 195 digits

8096168855139408383849962845963002879957866536633588318056410572781400723477350609442140063846423937876880933408137267447686040889353756938641398391921744645104925204183472257966775603264178660752697989843<205>

10528216675101763030910950316369102765865798238138086604994306547214512631378965272136317831895365775903360087225245999093418558215307556305105953222268149665482253193642413180901674527720837211999594818985301497175973737<221>

278847557634826979878256045414124356733453848541820788543646753188473639255018415240271554001977150720782699339944466413139569644037041862425748357545350938113351504150196829963446798922083664185693210788256500265114390306256515339<231>

615052348671905661119112367257049039973683763240621841853140110474776147904602212119699262138450543732436645206980487162734885206916692421211288609115530364672216778957367430706910186210143435157501501055547743210684485359857817<228>

20641106273924160357179011154168187542150014520088449493725864370298857481788985924402756023619713343460587977224467772805808203856950062577558932038734104607592262815739611509750897594075601344389643677232797<209>

14282323311734489119520036883470171177843<41>

1445220488529708346485877146843745826325109551913357123392713005875870724174455000430347974603550339264877968535333991067021060539635812516931308316926128230727243522479<169>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:550928111
Step 1 took 9922ms
Step 2 took 4641ms
********** Factor found in step 2: 14282323311734489119520036883470171177843
Found prime factor of 41 digits: 14282323311734489119520036883470171177843
Composite cofactor 1445220488529708346485877146843745826325109551913357123392713005875870724174455000430347974603550339264877968535333991067021060539635812516931308316926128230727243522479 has 169 digits
 

GMP-ECM

46114975621922983997100951922209775441380178532188938072050276282429045783242211914802133989741718824787279101489835792457263341075480192210857941746316589474570771342847132904156215615801<188>

654114981693304623771254782244684629<36>
70499800360091655556347874329228867441104393590495532709051802607467080533885274012009526706538327376747207235018587766952714476513265058531910908931669<152>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2033742864
Step 1 took 27476ms
Step 2 took 12118ms
********** Factor found in step 2: 654114981693304623771254782244684629
Found prime factor of 36 digits: 654114981693304623771254782244684629
Prime cofactor 70499800360091655556347874329228867441104393590495532709051802607467080533885274012009526706538327376747207235018587766952714476513265058531910908931669 has 152 digits

237898392154638416432936102771146238350188322367430340731155683216196044275111832566232482734039074047961593663357473475003681748515944996294552939036554686743368917085264936214925218821263814041298166543545074609567229951<222>

7003680292592481154009293483304499654044672801101552322497800405494702293704246973681918548634908983355814317580467061913455961933047429474146282105926785143214094429841139891231030439404346129379596459<202>

103511838769450430463522572406421121063761<42>

67660669309446036775098032128990788535407936635636238368976359095557597914951922688487291339681239691987241321614388754623436891584650422173948573941774707785019<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2848079968
Step 1 took 7281ms
Step 2 took 3750ms
********** Factor found in step 2: 103511838769450430463522572406421121063761
Found prime factor of 42 digits: 103511838769450430463522572406421121063761
Composite cofactor 67660669309446036775098032128990788535407936635636238368976359095557597914951922688487291339681239691987241321614388754623436891584650422173948573941774707785019 has 161 digits
 

GMP-ECM

1136111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<259>

40190172089436168039042354626854979723117375320928553934746535739655306664804291685051305951804264947525715415356289237304317713007928711772042282646399330982314609600534409047498650590357887944608010584954961052967169614540359<227>

3279840448004088344849979815508396880557473749740372494523042399501271170572452355442566560804856681791678188850613953454331588534590049210000935790942482778342326234595311619960373941176829621173693352440833<208>

123091525681663094294316222505799527463303955574457<51>
26645542248670699030426167732001434759080116295751020920286115057222533246298508473493245564087252247464279175116989453011529656271751671831256401456301656969<158>

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
WorkUnit(uid=770,
         n='3279840448004088344849979815508396880557473749740372494523042399501271170572452355442566560804856681791678188850613953454331588534590049210000935790942482778342326234595311619960373941176829621173693352440833',
         params=(),
         B1='10000000000',
         B2='8e15',
         resume_line='METHOD=P-1; B1=10000000000; '
                     'N=3279840448004088344849979815508396880557473749740372494523042399501271170572452355442566560804856681791678188850613953454331588534590049210000935790942482778342326234595311619960373941176829621173693352440833; '
                     'X=0x14a1392548b2738fb425fa3d2ec7ae067334fb31f87b5c9abb20fb899da20b6b439cd6c782c076d6237436f38021516cd342643f924b36d203c9e04c1280e978eeb599fcb581db9844452146c159dbb21ba5c8acda48a; '
                     'CHECKSUM=3358074555; PROGRAM=GMP-ECM 7.0.6-dev; X0=0x3; '
                     'WHO=five@five; TIME=Wed Nov 22 12:58:40 2023;\n')
------------------------------------ result ------------------------------------
EcmOutput(factors=(123091525681663094294316222505799527463303955574457,),
          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<1527>',
          timings=(('0',), ('237318',)),
          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 3279840448004088344849979815508396880557473749740372494523042399501271170572452355442566560804856681791678188850613953454331588534590049210000935790942482778342326234595311619960373941176829621173693352440833 (208 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 91788ms
Computing h took 11283ms
Computing DCT-I of h took 27564ms
Multi-point evaluation 1 of 5:
Computing g_i took 36748ms
Computing g*h took 54767ms
Computing gcd of coefficients and N took 13689ms
Step 2 took 237318ms
********** Factor found in step 2: 123091525681663094294316222505799527463303955574457
Found prime factor of 51 digits: 123091525681663094294316222505799527463303955574457
Prime cofactor 26645542248670699030426167732001434759080116295751020920286115057222533246298508473493245564087252247464279175116989453011529656271751671831256401456301656969 has 158 digits
Peak memory usage: 10392MB
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

gmp-ecm + ecm-db

1080 TI for stage 1

1255386663933004664686418886894613297498946361430724067195934101959674612158422197841386458462761536542172631789252822485757942435599335398335470160045130888270999034957153204992677136132393786570167<199>

17281854959451314737443890834993812628095504717879870902739287093548152888898760593381423734883406872933678361796297681589142253055284333465774657808885301955455934891376278909513468228901674721220646206139595083557347895868577<227>