266321353307515576647104761822529695990959535769229637353357373556184965683606441<81>

220623113167869972854729318930866597<36>
1207132604936429570841780474327686106078454453<46>

P46 = 1207132604936429570841780474327686106078454453
P36 = 220623113167869972854729318930866597

YAFU/SIQS

84229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681<101>

2634000731495748625725246177799991900001469<43>
31977740049135416715354219080825370031243019902333976262349<59>

N=84229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681
  ( 101 digits)
SNFS difficulty: 103 digits.
Divisors found:
p43 factor: 2634000731495748625725246177799991900001469
p59 factor: 31977740049135416715354219080825370031243019902333976262349
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.25 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 84229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681
m: 10000000000000000000000000
deg: 4
c4: 2350
c0: -1
skew: 0.14
# Murphy_E = 2.324e-07
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 305001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 28719 x 28944
Total sieving time: 0.23 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,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.25 hours.
 --------- CPU info (if available) ----------

21343836559200739469749525584163443370793451925706501257786092743722308387995268144521<86>

60979081861268806061923897851288737239669<41>
350018988605950015122412413325073153576637509<45>

P45 = 350018988605950015122412413325073153576637509
P41 = 60979081861268806061923897851288737239669

YAFU/SIQS

12715003336154476580726557964311836709236335324332356123388279442399731379119<77>

23521981424805272188510072526241139<35>
540558344406554956035786636076142657636821<42>

PRP42 = 540558344406554956035786636076142657636821
PRP35 = 23521981424805272188510072526241139

1706608569353667392883079157588961510530137981118373275236020334059549745824255628177196804647785039941902687<109>

7320940419263502336369352737259991606094676182689<49>
233113298513274172035857003107166520336366892222798015555583<60>

N=1706608569353667392883079157588961510530137981118373275236020334059549745824255628177196804647785039941902687
  ( 109 digits)
SNFS difficulty: 111 digits.
Divisors found:
p49 factor: 7320940419263502336369352737259991606094676182689
p60 factor: 233113298513274172035857003107166520336366892222798015555583
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.43 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1706608569353667392883079157588961510530137981118373275236020334059549745824255628177196804647785039941902687
m: 1000000000000000000000000000
deg: 4
c4: 2350
c0: -1
skew: 0.14
# Murphy_E = 1.007e-07
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 490001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 45899 x 46124
Total sieving time: 0.42 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,111.000,4,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.43 hours.
 --------- CPU info (if available) ----------

964898805779308927479362220931206562755599936815353966516554220952640909703004969189301826157452869<99>

63942738453815878682681113476447110506339829<44>
15090045079571144737851459080883521104316203697496767761<56>

N=964898805779308927479362220931206562755599936815353966516554220952640909703004969189301826157452869
  ( 99 digits)
SNFS difficulty: 118 digits.
Divisors found:
p44 factor: 63942738453815878682681113476447110506339829
p56 factor: 15090045079571144737851459080883521104316203697496767761
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.79 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 964898805779308927479362220931206562755599936815353966516554220952640909703004969189301826157452869
m: 100000000000000000000000000000
deg: 4
c4: 235
c0: -1
skew: 0.26
# Murphy_E = 6.037e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 50392 x 50617
Total sieving time: 0.77 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,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 0.79 hours.
 --------- CPU info (if available) ----------

54799362618859559875856285317727100570263951674220627903156431051664364908669547028754551904237672462480723509<110>

8696797029459042708455126032628753484863<40>
6301097108882186284809550008438354610376287002418755628070777972168843<70>

N=54799362618859559875856285317727100570263951674220627903156431051664364908669547028754551904237672462480723509
  ( 110 digits)
SNFS difficulty: 121 digits.
Divisors found:
p40 factor: 8696797029459042708455126032628753484863
p70 factor: 6301097108882186284809550008438354610376287002418755628070777972168843
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.14 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 54799362618859559875856285317727100570263951674220627903156431051664364908669547028754551904237672462480723509
m: 1000000000000000000000000000000
deg: 4
c4: 47
c0: -2
skew: 0.45
# Murphy_E = 3.819e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64727 x 64953
Total sieving time: 1.12 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,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
total time: 1.14 hours.
 --------- CPU info (if available) ----------

2419094872915888590650522534720809627582098993899402426606286943599561605964941955576179573009<94>

15433016579760911321234226531884298295533017<44>
156748025275131614542248992883084605534582455837177<51>

P44 = 15433016579760911321234226531884298295533017
P51 = 156748025275131614542248992883084605534582455837177

YAFU/SIQS

37727367592993947566986145226283934563084974875178602963605130921992647176869110115750774615100579556583024290003050297805391<125>

15151274322268526795878748597130427187746777996508050657871<59>
2490045839744601222199976451133749540398255344559916826567772293121<67>

N=37727367592993947566986145226283934563084974875178602963605130921992647176869110115750774615100579556583024290003050297805391
  ( 125 digits)
SNFS difficulty: 129 digits.
Divisors found:
p59 factor: 15151274322268526795878748597130427187746777996508050657871
p67 factor: 2490045839744601222199976451133749540398255344559916826567772293121
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.38 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 37727367592993947566986145226283934563084974875178602963605130921992647176869110115750774615100579556583024290003050297805391
m: 100000000000000000000000000000000
deg: 4
c4: 47
c0: -2
skew: 0.45
# Murphy_E = 1.573e-08
type: snfs
lss: 1
rlim: 1010000
alim: 1010000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1010000/1010000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [505000, 1005001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 109508 x 109733
Total sieving time: 2.33 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,100000
total time: 2.38 hours.
 --------- CPU info (if available) ----------

49085082467583366603740555882214043322607944368739817129976888318211045159925516095230223327051705800339836921124781861<119>

114682968541618198870767743946492858224058869937643297<54>
428006731006186828471377401411871227107206217138407580335131227013<66>

N=48940234186012042094194569591614720103809228170558114430657281328042194871622774268063840438057044736967215636264993190315986117753
  ( 131 digits)
SNFS difficulty: 136 digits.
Divisors found:
p54 factor: 114682968541618198870767743946492858224058869937643297
p66 factor: 428006731006186828471377401411871227107206217138407580335131227013
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.83 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 48940234186012042094194569591614720103809228170558114430657281328042194871622774268063840438057044736967215636264993190315986117753
m: 10000000000000000000000000000000000
deg: 4
c4: 7
c0: -52
skew: 1.65
# Murphy_E = 7.841e-09
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162682 x 162908
Total sieving time: 3.76 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,100000
total time: 3.83 hours.

1436867732195828651660080751277587699146516577359255760218440313226558289934260452255517240918736073<100>

157381439130806291692386354197872856543<39>
9129842376149501509513833585520742473243651337522972923738711<61>

N=1436867732195828651660080751277587699146516577359255760218440313226558289934260452255517240918736073
  ( 100 digits)
SNFS difficulty: 134 digits.
Divisors found:
p39 factor: 157381439130806291692386354197872856543
p61 factor: 9129842376149501509513833585520742473243651337522972923738711
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.90 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1436867732195828651660080751277587699146516577359255760218440313226558289934260452255517240918736073
m: 1000000000000000000000000000000000
deg: 4
c4: 235
c0: -1
skew: 0.26
# Murphy_E = 1.022e-08
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1210001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 146327 x 146552
Total sieving time: 2.83 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
total time: 2.90 hours.
 --------- CPU info (if available) ----------

27337129785991323543689247666635712657350265847296341357904315835400280590381038253<83>

83590694724546490893512305780980677<35>
327035561506868875337941260732955178030243654089<48>

P35 = 83590694724546490893512305780980677
P48 = 327035561506868875337941260732955178030243654089

3171215902469889245341720855715624012077323137377250538310869002163746094450626278273653357413663098600811233<109>

882992406755807246595732025548386239781025560049408493<54>
3591441872214075930110523808254043518806092668885018181<55>

N=3171215902469889245341720855715624012077323137377250538310869002163746094450626278273653357413663098600811233
  ( 109 digits)
SNFS difficulty: 137 digits.
Divisors found:
p54 factor: 882992406755807246595732025548386239781025560049408493
p55 factor: 3591441872214075930110523808254043518806092668885018181
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.83 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3171215902469889245341720855715624012077323137377250538310869002163746094450626278273653357413663098600811233
m: 5000000000000000000000000000000000
deg: 4
c4: 188
c0: -5
skew: 0.40
# Murphy_E = 7.395e-09
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [675000, 1475001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167579 x 167805
Total sieving time: 3.76 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,100000
total time: 3.83 hours.

16648012404875284463133099873543516892526957634587787013653692965530316619652524789958588411697195878068272563449<113>

494382109787749384435526542974814268270625800010179<51>
33674382780604041147585241181079023518360214187830816395370131<62>

N=16648012404875284463133099873543516892526957634587787013653692965530316619652524789958588411697195878068272563449
  ( 113 digits)
SNFS difficulty: 138 digits.
Divisors found:
p51 factor: 494382109787749384435526542974814268270625800010179
p62 factor: 33674382780604041147585241181079023518360214187830816395370131
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 5.93 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16648012404875284463133099873543516892526957634587787013653692965530316619652524789958588411697195878068272563449
m: 10000000000000000000000000000000000
deg: 4
c4: 235
c0: -1
skew: 0.26
# Murphy_E = 6.475e-09
type: snfs
lss: 1
rlim: 1420000
alim: 1420000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1420000/1420000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [710000, 1110001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156472 x 156697
Total sieving time: 5.88 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,138.000,4,0,0,0,0,0,0,0,0,1420000,1420000,26,26,48,48,2.3,2.3,100000
total time: 5.93 hours.

44220145192311008860734349209004459606926614525425494815256813482618320216800171854728362778308852734866437245587473199651187<125>

3245797336804388968188017096239698043<37>
13623815846693442997215231582440361042068356466476025918861639756637930956156475128501609<89>

N=44220145192311008860734349209004459606926614525425494815256813482618320216800171854728362778308852734866437245587473199651187
  ( 125 digits)
SNFS difficulty: 141 digits.
Divisors found:
p37 factor: 3245797336804388968188017096239698043
p89 factor: 13623815846693442997215231582440361042068356466476025918861639756637930956156475128501609
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 6.66 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 44220145192311008860734349209004459606926614525425494815256813482618320216800171854728362778308852734866437245587473199651187
m: 50000000000000000000000000000000000
deg: 4
c4: 188
c0: -5
skew: 0.40
# Murphy_E = 4.673e-09
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 179890 x 180115
Total sieving time: 6.56 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,141.000,4,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 6.66 hours.

3784219001610305958132045088566827697262479871175523349436392914653784219001610305958132045088566827697262479871175523349436392914653784219<139>

473070493408943273552216244244112124202170932790383<51>
7999270836659554575427115374236503126845341165045604114843493129700990788839014159494293<88>

N=3784219001610305958132045088566827697262479871175523349436392914653784219001610305958132045088566827697262479871175523349436392914653784219
  ( 139 digits)
SNFS difficulty: 141 digits.
Divisors found:
p51 factor: 473070493408943273552216244244112124202170932790383
p88 factor: 7999270836659554575427115374236503126845341165045604114843493129700990788839014159494293
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 8.04 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3784219001610305958132045088566827697262479871175523349436392914653784219001610305958132045088566827697262479871175523349436392914653784219
m: 100000000000000000000000000000000000
deg: 4
c4: 47
c0: -2
skew: 0.45
# Murphy_E = 4.009e-09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1405001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 188348 x 188574
Total sieving time: 7.96 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,4,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 8.04 hours.

441930643147709377634706754849330241843473637210862316476974091471969117485885677034245185975477260424291611<108>

155764823504530731663047802252962082655000249<45>
2837165883829059391779321939540566156871531595162333860868993139<64>

N=441930643147709377634706754849330241843473637210862316476974091471969117485885677034245185975477260424291611
  ( 108 digits)
Divisors found:
p45 factor: 155764823504530731663047802252962082655000249
p64 factor: 2837165883829059391779321939540566156871531595162333860868993139
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 6.57 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 441930643147709377634706754849330241843473637210862316476974091471969117485885677034245185975477260424291611
skew: 3103645.75
c0: -50451771706226240152113135153
c1: 10695079279011758668816
c2: -174093766547528441
c3: -6544993550
c4: 10920
Y0: -79759592801418351010575506
Y1: 71847071329777
rlim: 2920000
alim: 2920000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2920000/2920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1460000, 2360001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 370962 x 371189
Total sieving time: 6.42 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2920000,2920000,26,26,52,52,2.5,2.5,150000
total time: 6.57 hours.

77089165068149212682707058793743706095259508664938969878378863884692640310332313139233345665194359108301739<107>

222485662373192928453110755565149992540144626733377<51>
346490485031082200222047369576681524978537087254756515307<57>

N=77089165068149212682707058793743706095259508664938969878378863884692640310332313139233345665194359108301739
  ( 107 digits)
p51 factor: 222485662373192928453110755565149992540144626733377
p57 factor: 346490485031082200222047369576681524978537087254756515307
Divisors found:
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 10.44 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 77089165068149212682707058793743706095259508664938969878378863884692640310332313139233345665194359108301739
skew: 34058744.21
c0: 17974640020823326037960403142095
c1: 391061934935924148934212
c2: -114429327272100443
c3: -840664272
c4: 48
Y0: -200188241313390625221914486
Y1: 56646097308943
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 1000
Factor base limits: 2780000/2780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1390000, 2741001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 319239 x 319466
Total sieving time: 10.32 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,106,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2780000,2780000,26,26,52,52,2.5,2.5,150000
total time: 10.44 hours.
 --------- CPU info (if available) ----------

2508961278005349910176902580019285785884957684874681156197854054529754258441019350676952059070381844443567<106>

42029435937964607578092480566926491858395823793669<50>
59695335471753022617874700386569301980373017114095678243<56>

N=2508961278005349910176902580019285785884957684874681156197854054529754258441019350676952059070381844443567
  ( 106 digits)
Divisors found:
p50 factor: 42029435937964607578092480566926491858395823793669
p56 factor: 59695335471753022617874700386569301980373017114095678243
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 6.12 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2508961278005349910176902580019285785884957684874681156197854054529754258441019350676952059070381844443567
skew: 1770916.90
c0: 104238699995605190580411915497
c1: -14396963244867019438367
c2: -91058111363592269
c3: 7373547695
c4: 35700
Y0: -16281945842622172775250330
Y1: 94246882777429
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2640000/2640000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1320000, 2070001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248005 x 248232
Total sieving time: 6.03 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,105,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2640000,2640000,26,26,52,52,2.5,2.5,150000
total time: 6.12 hours.

2008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<157>

1639752130939600397871470100165926056439820529866091919249<58>
1224908918030241339141312956119818380857832969441801650254198228352590607480375464455563093805849203<100>

N=2008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547
  ( 157 digits)
SNFS difficulty: 158 digits.
Divisors found:
p58 factor: 1639752130939600397871470100165926056439820529866091919249
p100 factor: 1224908918030241339141312956119818380857832969441801650254198228352590607480375464455563093805849203
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 13.91 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547
m: 10000000000000000000000000000000
deg: 5
c5: 2350
c0: -1
skew: 0.21
# Murphy_E = 7.663e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 491301 x 491526
Total sieving time: 13.58 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 13.91 hours.
 --------- CPU info (if available) ----------

28522176995551773722711488708886378450748906431406251935434550303653631157315949717022583440299949579285215897539498361969841014463890263<137>

188300647260376061092630909731815886283155811953040265175403393<63>
151471476123564394347361439480996272843303130685745375585148952429284645591<75>

Number: 52222_158
N = 28522176995551773722711488708886378450748906431406251935434550303653631157315949717022583440299949579285215897539498361969841014463890263 (137 digits)
SNFS difficulty: 160 digits.
Divisors found:
r1=188300647260376061092630909731815886283155811953040265175403393 (pp63)
r2=151471476123564394347361439480996272843303130685745375585148952429284645591 (pp75)
Version: Msieve v. 1.53 (SVN 1005)
Total time: 13.96 hours.
Factorization parameters were as follows:
n: 28522176995551773722711488708886378450748906431406251935434550303653631157315949717022583440299949579285215897539498361969841014463890263
m: 10000000000000000000000000000000
deg: 5
c5: 23500
c0: -1
skew: 0.13
# Murphy_E = 5.661e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 7939626
Relations: 950838 relations
Pruned matrix : 557018 x 557243
Total sieving time: 13.61 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.18 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 13.96 hours.
Intel64 Family 6 Model 78 Stepping 3, GenuineIntel
processors: 4, speed: 2.40GHz
Windows-10-10.0.17763-SP0
Running Python 3.8

26111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<161>

316877054878354656130826456532042548719<39>

82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569<122>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 26111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (161 digits)
Run 1033 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1296693022
Step 1 took 1965ms
Step 2 took 1181ms
********** Factor found in step 2: 316877054878354656130826456532042548719
Found prime factor of 39 digits: 316877054878354656130826456532042548719
Composite cofactor 82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569 has 122 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569<122>

249306668406383007873138167173771828955334533<45>
330522222787007328740606635122676892013485159223296586509865816598552142203093<78>

#
# N = 47x10^160-2 = 52(160)
#
n: 82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569
m: 100000000000000000000000000000000
deg: 5
c5: 47
c0: -2
skew: 0.53
# Murphy_E = 6.041e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

CADO

STA:Sun 07 Nov 2021 14:11:35 AEDT (82,401,394,197,301,085,885,000,803,100,220,256,170,003,552,755,315,602,823,678,304,028,097,202,266,024,175,352,724,740,516,722,871,447,319,877,111,745,442,310,569 - C122)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569 2>&1 | tee -a log58

Debug:root: Looking for parameter file for c122 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.n0rnu5v9
Info:Database: Opened connection to database /tmp/cado.n0rnu5v9/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 8240139419730108588500080310022025617000355275531560282367830402809720226602417535272
4740516722871447319877111745442310569
Debug:root: Root parameter dictionary:
N = 82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
...
n: 82401394197301085885000803100220256170003552755315602823678304028097202266024175352724740516722871447319877111745442310569
skew: 280358.851
c0: 35202621004031684472411126790
c1: -10521573494929212225704377
c2: 22526825740439828926
c3: -246748199336133
c4: -522929626
c5: 840
Y0: -722898287076121910595064
Y1: 7165267672596983
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.48e-09
# f(x) = 840*x^5-522929626*x^4-246748199336133*x^3+22526825740439828926*x^2-10521573494929212225704377*x+35202621004031684472411126790
# g(x) = 7165267672596983*x-722898287076121910595064
...
Info:Square Root: finished
Info:Square Root: Factors: 249306668406383007873138167173771828955334533 330522222787007328740606635122676892013485159223296586509865816598552142203093
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10610/37.550/43.645/48.550/1.057
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10610/35.380/38.878/44.140/1.187
Info:Polynomial Selection (size optimized): Total time: 1131.42
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 542.52
Info:Polynomial Selection (root optimized): Rootsieve time: 541.64
Info:Generate Factor Base: Total cpu/real time for makefb: 23.38/2.10888
Info:Generate Free Relations: Total cpu/real time for freerel: 150.29/10.0008
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10802729
Info:Lattice Sieving: Average J: 8192 for 24149 special-q, max bucket fill: 0.679651
Info:Lattice Sieving: Total CPU time: 74749.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.22/37.1417
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 36.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 228.4/119.254
Info:Filtering - Singleton removal: Total cpu/real time for purge: 172.7/97.4268
Info:Filtering - Merging: Total cpu/real time for merge: 468.43/381.603
Info:Filtering - Merging: Total cpu/real time for replay: 36.42/28.2338
Info:Linear Algebra: Total cpu/real time for bwc: 20275/0.000314236
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 850.28
Info:Linear Algebra: Lingen CPU time 221.26, WCT time 21.75
Info:Linear Algebra: Mksol: WCT time 459.29
Info:Quadratic Characters: Total cpu/real time for characters: 36.22/8.63754
Info:Square Root: Total cpu/real time for sqrt: 798.61/114.959
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 98640.2/7085.26
Info:root: Cleaning up computation data in /tmp/cado.n0rnu5v9
249306668406383007873138167173771828955334533 330522222787007328740606635122676892013485159223296586509865816598552142203093

END:Sun 07 Nov 2021 16:09:41 AEDT (82,401,394,197,301,085,885,000,803,100,220,256,170,003,552,755,315,602,823,678,304,028,097,202,266,024,175,352,724,740,516,722,871,447,319,877,111,745,442,310,569 - C122)

114860476467419669861207283804376477499503864229352111380069957905506342561762793675526675351232708971270318436331<114>

62729596807864599210348193951354419139944455614717<50>
1831041204030491467368622945178460555780828075960065756441185543<64>

114860476467419669861207283804376477499503864229352111380069957905506342561762793675526675351232708971270318436331=62729596807864599210348193951354419139944455614717*1831041204030491467368622945178460555780828075960065756441185543

cado polynomial
n: 114860476467419669861207283804376477499503864229352111380069957905506342561762793675526675351232708971270318436331
skew: 7114.566
c0: -2549011507034363771948184
c1: 577629658351858058726
c2: -68417594797830425
c3: -31309320606005
c4: 2351676822
c5: 201960
Y0: -6598442795468139835963
Y1: 157499529174403
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.238e-06
# f(x) = 201960*x^5+2351676822*x^4-31309320606005*x^3-68417594797830425*x^2+577629658351858058726*x-2549011507034363771948184
# g(x) = 157499529174403*x-6598442795468139835963

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: 1831041204030491467368622945178460555780828075960065756441185543 62729596807864599210348193951354419139944455614717
Info:Square Root: Total cpu/real time for sqrt: 261.41/70.2243
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.14/88.2159
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/1.13111
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.75/28.8701
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.299999999999997s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 404.84
Info:Polynomial Selection (root optimized): Rootsieve time: 403.75
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.35/111.172
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 84.8s
Info:Filtering - Merging: Merged matrix has 421784 rows and total weight 65394827 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.4/20.5306
Info:Filtering - Merging: Total cpu/real time for replay: 14.43/11.689
Info:Linear Algebra: Total cpu/real time for bwc: 2348.37/606.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1450.98, WCT time 371.96, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Linear Algebra: Lingen CPU time 65.72, WCT time 16.74
Info:Linear Algebra: Mksol: CPU time 796.44,  WCT time 203.72, 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: 64.17/16.9658
Info:Quadratic Characters: Total cpu/real time for characters: 15.56/6.09694
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): 21570/32.720/40.249/46.000/1.079
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16678/32.440/35.652/40.720/0.823
Info:Polynomial Selection (size optimized): Total time: 1804.26
Info:Square Root: Total cpu/real time for sqrt: 261.41/70.2243
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6763796
Info:Lattice Sieving: Average J: 1900.98 for 114684 special-q, max bucket fill -bkmult 1.0,1s:1.271160
Info:Lattice Sieving: Total time: 13306.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 29532.6/8152.97
Info:root: Cleaning up computation data in /tmp/cado.cj0ljh2p
1831041204030491467368622945178460555780828075960065756441185543 62729596807864599210348193951354419139944455614717

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

624905184439563431695914001976461353383252751400392990718452676657092503628151468415836632232358451000427509903648880745894168038735187341404133<144>

118405656928471761372370677659523263<36>
648978211675323038511064023572196390444166883<45>
8132265702275744394848583728814840922734741351955060857351681577<64>

624905184439563431695914001976461353383252751400392990718452676657092503628151468415836632232358451000427509903648880745894168038735187341404133=118405656928471761372370677659523263*8132265702275744394848583728814840922734741351955060857351681577 648978211675323038511064023572196390444166883

cado polynomial
n: 624905184439563431695914001976461353383252751400392990718452676657092503628151468415836632232358451000427509903648880745894168038735187341404133
skew: 0.53
type: snfs
c0: -2
c5: 47
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 47*x^5-2
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4200000
tasks.lim1 = 4200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 118405656928471761372370677659523263 8132265702275744394848583728814840922734741351955060857351681577 648978211675323038511064023572196390444166883
Info:Square Root: Total cpu/real time for sqrt: 173.23/53.5675
Info:Filtering - Singleton removal: Total cpu/real time for purge: 69.2/66.446
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11624611
Info:Lattice Sieving: Average J: 1893.55 for 308067 special-q, max bucket fill -bkmult 1.0,1s:1.247640
Info:Lattice Sieving: Total time: 39618.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.81/0.98
Info:Linear Algebra: Total cpu/real time for bwc: 3668.41/946.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2293.04, WCT time 586.22, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Linear Algebra: Lingen CPU time 78.48, WCT time 20.02
Info:Linear Algebra: Mksol: CPU time 1249.81,  WCT time 320.39, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7808 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.72/17.1264
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.19/48.9617
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.9s
Info:Filtering - Merging: Merged matrix has 497813 rows and total weight 84989500 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 105.23/29.458
Info:Filtering - Merging: Total cpu/real time for replay: 16.34/13.6007
Info:Quadratic Characters: Total cpu/real time for characters: 16.14/6.38535
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.75/86.8054
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.4s
Info:Square Root: Total cpu/real time for sqrt: 173.23/53.5675
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 77141.4/21247.3
Info:root: Cleaning up computation data in /tmp/cado.g_ixcbw0
118405656928471761372370677659523263 8132265702275744394848583728814840922734741351955060857351681577 648978211675323038511064023572196390444166883

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-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)

25624250354377930432886271944171846036419147312179696870570275869588921600697851924544760658597753789117871551630138479991276850943190491767528077636026605604623269<164>

308443311473168026894784436854567907637410408719<48>
83076044774623114600968234239626342501288075954755724831819760775455648033406354047431382635995504107350450249789451<116>

25624250354377930432886271944171846036419147312179696870570275869588921600697851924544760658597753789117871551630138479991276850943190491767528077636026605604623269=308443311473168026894784436854567907637410408719*83076044774623114600968234239626342501288075954755724831819760775455648033406354047431382635995504107350450249789451

cado polynomial
n: 25624250354377930432886271944171846036419147312179696870570275869588921600697851924544760658597753789117871551630138479991276850943190491767528077636026605604623269
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 83076044774623114600968234239626342501288075954755724831819760775455648033406354047431382635995504107350450249789451 308443311473168026894784436854567907637410408719
Info:Square Root: Total cpu/real time for sqrt: 235.91/71.8033
Info:Filtering - Singleton removal: Total cpu/real time for purge: 59.15/60.6297
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11620306
Info:Lattice Sieving: Average J: 1893.3 for 430756 special-q, max bucket fill -bkmult 1.0,1s:1.243810
Info:Lattice Sieving: Total time: 53152.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.85/1.01201
Info:Linear Algebra: Total cpu/real time for bwc: 5653.76/1458.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3527.07, WCT time 904.09, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19200 iterations)
Info:Linear Algebra: Lingen CPU time 103.43, WCT time 26.27
Info:Linear Algebra: Mksol: CPU time 1930.69,  WCT time 493.73, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9728 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.65/51.5818
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.5s
Info:Filtering - Merging: Merged matrix has 612695 rows and total weight 104398259 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 131.85/36.9216
Info:Filtering - Merging: Total cpu/real time for replay: 20.54/17.1111
Info:Quadratic Characters: Total cpu/real time for characters: 20.21/7.98579
Info:Square Root: Total cpu/real time for sqrt: 235.91/71.8033
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.97/88.3852
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.57/16.9305
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 104448/28589.7
Info:root: Cleaning up computation data in /tmp/cado.yfuxhpb8
83076044774623114600968234239626342501288075954755724831819760775455648033406354047431382635995504107350450249789451 308443311473168026894784436854567907637410408719

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-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)

27641675612007201816124875646451455597182910595914113663142139020242397657562356321554082652692261209954319261766075742715418660436109<134>

4405433540297018012785846645522889706378228755059218603709083418111<67>
6274450711641782464485956612222771900100231052440376220749756572019<67>

27641675612007201816124875646451455597182910595914113663142139020242397657562356321554082652692261209954319261766075742715418660436109=4405433540297018012785846645522889
706378228755059218603709083418111*6274450711641782464485956612222771900100231052440376220749756572019

cado polynomial
n: 27641675612007201816124875646451455597182910595914113663142139020242397657562356321554082652692261209954319261766075742715418660436109
skew: 0.21
type: snfs
c0: -1
c5: 2350
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 2350*x^5-1
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4500000
tasks.lim1 = 4500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6274450711641782464485956612222771900100231052440376220749756572019 4405433540297018012785846645522889706378228755059218603709083418111
Info:Square Root: Total cpu/real time for sqrt: 277.33/84.2956
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.39/58.6473
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11635211
Info:Lattice Sieving: Average J: 1894.11 for 319433 special-q, max bucket fill -bkmult 1.0,1s:1.245010
Info:Lattice Sieving: Total time: 41643.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.94/1.05589
Info:Linear Algebra: Total cpu/real time for bwc: 6032.83/1554.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3782.77, WCT time 970.0, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19968 iterations)
Info:Linear Algebra: Lingen CPU time 105.61, WCT time 26.88
Info:Linear Algebra: Mksol: CPU time 2048.55,  WCT time 523.44, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.67/17.0294
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.96/48.5133
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.4s
Info:Filtering - Merging: Merged matrix has 630977 rows and total weight 107479656 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 134.1/37.9559
Info:Filtering - Merging: Total cpu/real time for replay: 21.85/18.2165
Info:Quadratic Characters: Total cpu/real time for characters: 21.88/8.60458
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.56/92.0673
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.6s
Info:Square Root: Total cpu/real time for sqrt: 277.33/84.2956
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 83621.5/22907.8
Info:root: Cleaning up computation data in /tmp/cado.yk1dtxqc
6274450711641782464485956612222771900100231052440376220749756572019 4405433540297018012785846645522889706378228755059218603709083418111

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-89-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)

34815354032390009600834272799185482858592779865307131212162059379276642562602700972978328180958492524252160988499362713757189834450331158533738499<146>

147088776501329714600668790651377049007684418440049<51>
236696197089349446126107297740285630536498422675680458973037179250324349808319733315839661904051<96>

34815354032390009600834272799185482858592779865307131212162059379276642562602700972978328180958492524252160988499362713757189834450331158533738499=
147088776501329714600668790651377049007684418440049*236696197089349446126107297740285630536498422675680458973037179250324349808319733315839661904051

cado polynomial
n: 34815354032390009600834272799185482858592779865307131212162059379276642562602700972978328180958492524252160988499362713757189834450331158533738499
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+10000000000000000000000000000000000


cado parameters (extracts)
tasks.lim0 = 5200000
tasks.lim1 = 5200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 236696197089349446126107297740285630536498422675680458973037179250324349808319733315839661904051 147088776501329714600668790651377049007684418440049
Info:Square Root: Total cpu/real time for sqrt: 399.39/124.034
Info:Filtering - Singleton removal: Total cpu/real time for purge: 103.11/121.622
Info:Square Root: Total cpu/real time for sqrt: 399.39/124.034
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12056177
Info:Lattice Sieving: Average J: 1892.47 for 550216 special-q, max bucket fill -bkmult 1.0,1s:1.236740
Info:Lattice Sieving: Total time: 72314.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.23/1.26092
Info:Linear Algebra: Total cpu/real time for bwc: 12915.4/3322.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8178.07, WCT time 2094.25, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28416 iterations)
Info:Linear Algebra: Lingen CPU time 158.4, WCT time 40.33
Info:Linear Algebra: Mksol: CPU time 4434.42,  WCT time 1135.07, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14336 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.36/52.94
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.6s
Info:Filtering - Merging: Merged matrix has 902974 rows and total weight 154088061 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 209.39/58.704
Info:Filtering - Merging: Total cpu/real time for replay: 33.82/28.1724
Info:Quadratic Characters: Total cpu/real time for characters: 32.39/12.735
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 156.81/150.954
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 123.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 58.9/16.4059
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 147302/40001.6
Info:root: Cleaning up computation data in /tmp/cado.0fxhgdqc
236696197089349446126107297740285630536498422675680458973037179250324349808319733315839661904051 147088776501329714600668790651377049007684418440049

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)

349194702676506357102224682614274584571755279616115046719476254930429400779183439419605195709538952944392463202515625768909753224693910160038080397827011<153>

50459434401643358445303280182883283883966315733499800125008403237809<68>
6920305524969059395039271961568189707394657895189228360947326939023017910532673068979<85>

349194702676506357102224682614274584571755279616115046719476254930429400779183439419605195709538952944392463202515625768909753224693910160038080397827011=50459434401643358445303280182883283883966315733499800125008403237809*6920305524969059395039271961568189707394657895189228360947326939023017910532673068979

cado polynomial
n: 349194702676506357102224682614274584571755279616115046719476254930429400779183439419605195709538952944392463202515625768909753224693910160038080397827011
skew: 0.21
type: snfs
c0: -1
c5: 2350
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 2350*x^5-1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5400000
tasks.lim1 = 5400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6920305524969059395039271961568189707394657895189228360947326939023017910532673068979 50459434401643358445303280182883283883966315733499800125008403237809
Info:Square Root: Total cpu/real time for sqrt: 205.44/65.1836
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.13/77.2038
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11757921
Info:Lattice Sieving: Average J: 1893.74 for 463024 special-q, max bucket fill -bkmult 1.0,1s:1.241080
Info:Lattice Sieving: Total time: 62986.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.33/1.32321
Info:Linear Algebra: Total cpu/real time for bwc: 11111.2/2858
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7023.45, WCT time 1798.06, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26624 iterations)
Info:Linear Algebra: Lingen CPU time 152.55, WCT time 38.74
Info:Linear Algebra: Mksol: CPU time 3801.1,  WCT time 971.51, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.31/16.4089
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.31/51.0605
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.9s
Info:Filtering - Merging: Merged matrix has 843948 rows and total weight 144118072 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 192.09/53.8859
Info:Filtering - Merging: Total cpu/real time for replay: 30.64/25.7442
Info:Quadratic Characters: Total cpu/real time for characters: 30.13/11.8184
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 123.7/112.692
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.2s
Info:Square Root: Total cpu/real time for sqrt: 205.44/65.1836
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 128556/34804.4
Info:root: Cleaning up computation data in /tmp/cado.9n5ts9gr
6920305524969059395039271961568189707394657895189228360947326939023017910532673068979 50459434401643358445303280182883283883966315733499800125008403237809

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)

612702512108790141958272988947251351273392295932688238374250060301190901505336075108792144081002251732207214173544511409<120>

1737596873358969076022901168063075116383994890759553269<55>
352614879494095581555728811422460170855987528948345925425870698061<66>

612702512108790141958272988947251351273392295932688238374250060301190901505336075108792144081002251732207214173544511409=1737596873358969076022901168063075116383994890759553269*352614879494095581555728811422460170855987528948345925425870698061

cado polynomial
n: 612702512108790141958272988947251351273392295932688238374250060301190901505336075108792144081002251732207214173544511409
skew: 25920.474
c0: 783930275750513717865424140
c1: -225310642778716791951331
c2: -9006675511140385374
c3: 393285381379711
c4: 6509147550
c5: -165600
Y0: -162414503510350871094078
Y1: 71777831968225489
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.497e-06
# f(x) = -165600*x^5+6509147550*x^4+393285381379711*x^3-9006675511140385374*x^2-225310642778716791951331*x+783930275750513717865424140
# g(x) = 71777831968225489*x-162414503510350871094078

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: 1737596873358969076022901168063075116383994890759553269 352614879494095581555728811422460170855987528948345925425870698061
Info:Square Root: Total cpu/real time for sqrt: 399.55/107.015
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 130.84/111.945
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.14/1.36652
Info:Generate Free Relations: Total cpu/real time for freerel: 126.18/32.9485
Info:Linear Algebra: Total cpu/real time for bwc: 4856.58/1264.95
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2959.83, WCT time 768.15, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22272 iterations)
Info:Linear Algebra: Lingen CPU time 122.22, WCT time 31.09
Info:Linear Algebra: Mksol: CPU time 1703.57,  WCT time 440.47, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.29/53.8121
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1782.65
Info:Polynomial Selection (root optimized): Rootsieve time: 1780.23
Info:Filtering - Merging: Merged matrix has 708502 rows and total weight 71959551 (101.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 53.13/17.6923
Info:Filtering - Merging: Total cpu/real time for replay: 17.56/13.9104
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13427526
Info:Lattice Sieving: Average J: 1905.78 for 255855 special-q, max bucket fill -bkmult 1.0,1s:1.277400
Info:Lattice Sieving: Total time: 31423.1s
Info:Quadratic Characters: Total cpu/real time for characters: 22.34/8.72337
Info:Square Root: Total cpu/real time for sqrt: 399.55/107.015
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): 20052/36.060/42.814/48.280/1.032
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16117/34.210/37.893/43.350/0.849
Info:Polynomial Selection (size optimized): Total time: 2272.83
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.53/60.9015
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 67914.5/15938.8
1737596873358969076022901168063075116383994890759553269 352614879494095581555728811422460170855987528948345925425870698061

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

2540002291419982241076170598394106198822372736690978421997409763277628263855694550623102923564261910608799026856220471513371144250232818407779<142>

1616836157403429269478471829431368978641379<43>
1570970737999278094987002490081080482809535460298802778072091476319143770472313660087401171289641601<100>

2540002291419982241076170598394106198822372736690978421997409763277628263855694550623102923564261910608799026856220471513371144250232818407779=1570970737999278094987002490081080482809535460298802778072091476319143770472313660087401171289641601*1616836157403429269478471829431368978641379

cado polynomial
n: 2540002291419982241076170598394106198822372736690978421997409763277628263855694550623102923564261910608799026856220471513371144250232818407779
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6300000
tasks.lim1 = 6300000
tasks.lpb0 = 28
tasks.lpb1 = 28
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: 1570970737999278094987002490081080482809535460298802778072091476319143770472313660087401171289641601 1616836157403429269478471829431368978641379
Info:Square Root: Total cpu/real time for sqrt: 391.43/120.788
Info:Filtering - Singleton removal: Total cpu/real time for purge: 122.8/123.523
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22416479
Info:Lattice Sieving: Average J: 1894.19 for 863291 special-q, max bucket fill -bkmult 1.0,1s:1.203570
Info:Lattice Sieving: Total time: 136332s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.72/1.46504
Info:Linear Algebra: Total cpu/real time for bwc: 14855.2/3818.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9416.62, WCT time 2412.13, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30464 iterations)
Info:Linear Algebra: Lingen CPU time 171.8, WCT time 43.72
Info:Linear Algebra: Mksol: CPU time 5107.96,  WCT time 1304.32, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15360 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.62/32.3374
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.37/98.9808
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 98.9s
Info:Filtering - Merging: Merged matrix has 843948 rows and total weight 144118072 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 229/63.7554
Info:Filtering - Merging: Total cpu/real time for replay: 33.78/28.8854
Info:Quadratic Characters: Total cpu/real time for characters: 32.58/12.8407
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 211.96/178.738
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.0s
Info:Square Root: Total cpu/real time for sqrt: 391.43/120.788
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 269501/72998.7
Info:root: Cleaning up computation data in /tmp/cado.dmnchzdh
1570970737999278094987002490081080482809535460298802778072091476319143770472313660087401171289641601 1616836157403429269478471829431368978641379

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)

538004696519553227008042084359233026173150782717082824872248970476444887328079113990807119245086443571508243710089965971818788812146731392679284792096769799449493402174711<171>

25237553733262385268622091209292814045074254975430739323411<59>
21317624608381841076466383409687675957581269854993879983426185746706908198150860037866590567621456046304691148301<113>

538004696519553227008042084359233026173150782717082824872248970476444887328079113990807119245086443571508243710089965971818788812146731392679284792096769799449493402174711=25237553733262385268622091209292814045074254975430739323411*21317624608381841076466383409687675957581269854993879983426185746706908198150860037866590567621456046304691148301

cado polynomial
n: 538004696519553227008042084359233026173150782717082824872248970476444887328079113990807119245086443571508243710089965971818788812146731392679284792096769799449493402174711
skew: 0.42
type: snfs
c0: -5
c5: 376
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 376*x^5-5
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7300000
tasks.lim1 = 7300000
tasks.lpb0 = 28
tasks.lpb1 = 28
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: 25237553733262385268622091209292814045074254975430739323411 21317624608381841076466383409687675957581269854993879983426185746706908198150860037866590567621456046304691148301
Info:Square Root: Total cpu/real time for sqrt: 292.73/92.9617
Info:Filtering - Singleton removal: Total cpu/real time for purge: 109/114.512
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22421286
Info:Lattice Sieving: Average J: 1894.63 for 1130370 special-q, max bucket fill -bkmult 1.0,1s:1.182110
Info:Lattice Sieving: Total time: 185902s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.11/1.68283
Info:Linear Algebra: Total cpu/real time for bwc: 22384/5750.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14200.21, WCT time 3635.03, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Linear Algebra: Lingen CPU time 232.32, WCT time 59.07
Info:Linear Algebra: Mksol: CPU time 7753.52,  WCT time 1982.12, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.8/32.4786
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.03/104.367
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.3s
Info:Filtering - Merging: Merged matrix has 1195052 rows and total weight 203183224 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 289.07/80.5222
Info:Filtering - Merging: Total cpu/real time for replay: 42.9/36.5337
Info:Quadratic Characters: Total cpu/real time for characters: 40.33/15.9915
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 215.05/184.173
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.0s
Info:Square Root: Total cpu/real time for sqrt: 292.73/92.9617
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 370134/99787
Info:root: Cleaning up computation data in /tmp/cado.90i6nh4y
25237553733262385268622091209292814045074254975430739323411 21317624608381841076466383409687675957581269854993879983426185746706908198150860037866590567621456046304691148301

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)

477212173719226710676490297866423197732461376965078189463211177826867600252368675600748975925043619073286934424421039<117>

1746147660748365349652694623380207229677989628511<49>
273294283436890290649394030416690695322421944537852459635910380784049<69>

477212173719226710676490297866423197732461376965078189463211177826867600252368675600748975925043619073286934424421039=1746147660748365349652694623380207229677989628511*273294283436890290649394030416690695322421944537852459635910380784049

cado polynomial
n: 477212173719226710676490297866423197732461376965078189463211177826867600252368675600748975925043619073286934424421039
skew: 29943.67
type: gnfs
c0: -1182448704453697747434312156
c1: -78891372289816662152749
c2: 8544402589193853534
c3: 39447809309461
c4: -1347554130
c5: 55440
Y0: -35515178109246692630890
Y1: 180540511712357371
n: 518162171105803343108707481464468898874041058304411802625669976277169975883687870300619572976320444545967433416802804532387852578264108148819711953
skew: 0.54
type: snfs
c0: -9
c5: 200
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 55440*x^5-1347554130*x^4+39447809309461*x^3+8544402589193853534*x^2-78891372289816662152749*x-1182448704453697747434312156
# g(x) = 180540511712357371*x-35515178109246692630890

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: 1746147660748365349652694623380207229677989628511 273294283436890290649394030416690695322421944537852459635910380784049
Info:Square Root: Total cpu/real time for sqrt: 293.59/79.725
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.9/115.418
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/1.12418
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.21/34.5918
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.699999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 329.91
Info:Polynomial Selection (root optimized): Rootsieve time: 328.8
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 130.83/140.323
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 104.3s
Info:Filtering - Merging: Merged matrix has 480304 rows and total weight 74791854 (155.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 80.1/23.7219
Info:Filtering - Merging: Total cpu/real time for replay: 16.49/13.3324
Info:Linear Algebra: Total cpu/real time for bwc: 3040.06/786.93
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1885.93, WCT time 483.76, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15104 iterations)
Info:Linear Algebra: Lingen CPU time 76.12, WCT time 19.43
Info:Linear Algebra: Mksol: CPU time 1037.4,  WCT time 266.99, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.68/16.8507
Info:Quadratic Characters: Total cpu/real time for characters: 17.34/6.80965
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): 21721/34.000/41.692/46.810/1.076
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17310/33.100/36.896/42.190/0.845
Info:Polynomial Selection (size optimized): Total time: 1758.94
Info:Square Root: Total cpu/real time for sqrt: 293.59/79.725
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7643512
Info:Lattice Sieving: Average J: 1890.97 for 201290 special-q, max bucket fill -bkmult 1.0,1s:1.260980
Info:Lattice Sieving: Total time: 22152.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 46565.6/12734.2
Info:root: Cleaning up computation data in /tmp/cado.tqfy0776
1746147660748365349652694623380207229677989628511 273294283436890290649394030416690695322421944537852459635910380784049

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

216409362345218930231301361229516533859403283711505022033666517026083338296376966076708270036074161674766989732688983763439662434850087445231692648071<150>

571886336170463702223342558226615910704841341540580119801198213<63>
378413241684293726653158147608279760168123509735203238192206379920862454784542882880667<87>

216409362345218930231301361229516533859403283711505022033666517026083338296376966076708270036074161674766989732688983763439662434850087445231692648071=571886336170463702223342558226615910704841341540580119801198213*378413241684293726653158147608279760168123509735203238192206379920862454784542882880667

cado polynomial
n: 216409362345218930231301361229516533859403283711505022033666517026083338296376966076708270036074161674766989732688983763439662434850087445231692648071
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7700000
tasks.lim1 = 7700000
tasks.lpb0 = 28
tasks.lpb1 = 28
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: 378413241684293726653158147608279760168123509735203238192206379920862454784542882880667 571886336170463702223342558226615910704841341540580119801198213
Info:Square Root: Total cpu/real time for sqrt: 317.3/101.269
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.6/112.829
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22413242
Info:Lattice Sieving: Average J: 1894.1 for 1231430 special-q, max bucket fill -bkmult 1.0,1s:1.156700
Info:Lattice Sieving: Total time: 207711s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.27/1.88385
Info:Linear Algebra: Total cpu/real time for bwc: 26690.7/6851.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17005.67, WCT time 4352.77, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Linear Algebra: Lingen CPU time 241.39, WCT time 61.27
Info:Linear Algebra: Mksol: CPU time 9224.07,  WCT time 2354.52, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.02/32.3509
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.89/105.587
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.5s
Info:Filtering - Merging: Merged matrix has 1288803 rows and total weight 219410678 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 316.46/88.0928
Info:Filtering - Merging: Total cpu/real time for replay: 46.22/39.2939
Info:Quadratic Characters: Total cpu/real time for characters: 43.96/17.8919
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.7/179.306
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.7s
Info:Square Root: Total cpu/real time for sqrt: 317.3/101.269
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 415123/111765
Info:root: Cleaning up computation data in /tmp/cado.1hoqy3xf
378413241684293726653158147608279760168123509735203238192206379920862454784542882880667 571886336170463702223342558226615910704841341540580119801198213

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)

288899936030632873895110446104547095487514190568845614942301691308238278982284557561656304863448846387800624386194735124792762530537031<135>

109613626365715560195120344019570569<36>
2635620639597721137541864363297307406488721969472498645870775769406951426750293550273613777754520399<100>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 288899936030632873895110446104547095487514190568845614942301691308238278982284557561656304863448846387800624386194735124792762530537031 (135 digits)
Run 618 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2244609116
Step 1 took 1397ms
Step 2 took 892ms
********** Factor found in step 2: 109613626365715560195120344019570569
Found prime factor of 36 digits: 109613626365715560195120344019570569
Prime cofactor 2635620639597721137541864363297307406488721969472498645870775769406951426750293550273613777754520399 has 100 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

18981778259405077728239214205864245358636670915008564034785110296876237863186671994883984686892874777783880773230728477160504827751702058926255596834828259351<158>

6310235727854358278143926968545388268043379<43>
15351799229159370663533465487508033655055055163<47>
195944027512477007639286282601287718097060790255883237140606654330263<69>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3491540890
Step 1 took 5735ms
Step 2 took 2669ms
********** Factor found in step 2: 6310235727854358278143926968545388268043379
Found prime factor of 43 digits: 6310235727854358278143926968545388268043379
Composite cofactor 3008093370524427043437105340989685130734566335051625686435968958059482744567019529448324020979549842274302285297869 has 115 digits

N=3008093370524427043437105340989685130734566335051625686435968958059482744567019529448324020979549842274302285297869
  ( 115 digits)
Divisors found:
p47 factor: 15351799229159370663533465487508033655055055163
p69 factor: 195944027512477007639286282601287718097060790255883237140606654330263
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 21.24 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3008093370524427043437105340989685130734566335051625686435968958059482744567019529448324020979549842274302285297869
skew: 39447.65
c0: -409853921311147303948660560
c1: 32644694424361123307412
c2: 344269820668181992
c3: -45524396349115
c4: 1913018272
c5: 9516
Y0: -12586491876917193581617
Y1: 45198143204167
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
lss: 0
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2250000, 3350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 487953 x 488178
Total sieving time: 21.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 21.24 hours.
 --------- CPU info (if available) ----------

204638056369771208798426078776822169207055013939900779105809965046755607001919276679428810796786120591656569061131550706439123802031778749599451529785970013757<159>

1867406036460145889638514905998458324729366936286886316783<58>
109584124916765838358007060581544921213774656008655794359157907136609523408195951596713520451428991379<102>

204638056369771208798426078776822169207055013939900779105809965046755607001919276679428810796786120591656569061131550706439123802031778749599451529785970013757=1867406036460145889638514905998458324729366936286886316783*109584124916765838358007060581544921213774656008655794359157907136609523408195951596713520451428991379

cado polynomial
n: 204638056369771208798426078776822169207055013939900779105809965046755607001919276679428810796786120591656569061131550706439123802031778749599451529785970013757
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9300000
tasks.lim1 = 9300000
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: 1867406036460145889638514905998458324729366936286886316783 109584124916765838358007060581544921213774656008655794359157907136609523408195951596713520451428991379
Info:Square Root: Total cpu/real time for sqrt: 485.48/156.15
Info:Filtering - Singleton removal: Total cpu/real time for purge: 286.97/338.532
Info:Generate Free Relations: Total cpu/real time for freerel: 118.81/32.3842
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24543693
Info:Lattice Sieving: Average J: 1894.29 for 1745209 special-q, max bucket fill -bkmult 1.0,1s:1.140650
Info:Lattice Sieving: Total time: 318390s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.94/2.15129
Info:Linear Algebra: Total cpu/real time for bwc: 57685.4/14813.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36956.17, WCT time 9434.51, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58368 iterations)
Info:Linear Algebra: Lingen CPU time 372.5, WCT time 94.63
Info:Linear Algebra: Mksol: CPU time 20006.68,  WCT time 5140.11, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.75/114.424
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 113.8s
Info:Filtering - Merging: Merged matrix has 1860129 rows and total weight 316334764 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 487.3/135.083
Info:Filtering - Merging: Total cpu/real time for replay: 72.18/61.5349
Info:Quadratic Characters: Total cpu/real time for characters: 66.69/28.1879
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 396.21/391.744
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 316.6s
Info:Square Root: Total cpu/real time for sqrt: 485.48/156.15
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 654330/175128
Info:root: Cleaning up computation data in /tmp/cado.63dq_t_1
1867406036460145889638514905998458324729366936286886316783 109584124916765838358007060581544921213774656008655794359157907136609523408195951596713520451428991379

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)

18094963774871216324186229219567302331027576909020290162227165162087188612077815116071474669281918993354028206345689575968483340169<131>

211710321906379441120808853305202106663758929<45>
85470389974056163407940888828745465919147352112144573187812564213756885896898413189561<86>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3896565896
Step 1 took 4812ms
Step 2 took 2907ms
********** Factor found in step 2: 211710321906379441120808853305202106663758929
Found prime factor of 45 digits: 211710321906379441120808853305202106663758929
Prime cofactor 85470389974056163407940888828745465919147352112144573187812564213756885896898413189561 has 86 digits
 

GMP-ECM

123837533177447428681714101612995521792593438144867531712574429619959472433255234391541394576016332203527641985590326860165157974249845352347<141>

49995303797572418332551177282125514408925260319463050759460087<62>
2476983311849792339098404033206455343944313651530109409297934648897154043161981<79>

123837533177447428681714101612995521792593438144867531712574429619959472433255234391541394576016332203527641985590326860165157974249845352347=49995303797572418332551177282125514408925260319463050759460087*2476983311849792339098404033206455343944313651530109409297934648897154043161981

cado polynomial
n: 123837533177447428681714101612995521792593438144867531712574429619959472433255234391541394576016332203527641985590326860165157974249845352347
skew: 0.53
type: snfs
c0: -2
c5: 47
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 47*x^5-2
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11000000
tasks.lim1 = 11000000
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: 2476983311849792339098404033206455343944313651530109409297934648897154043161981 49995303797572418332551177282125514408925260319463050759460087
Info:Square Root: Total cpu/real time for sqrt: 906.95/281.667
Info:Filtering - Singleton removal: Total cpu/real time for purge: 287.68/337.618
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24656154
Info:Lattice Sieving: Average J: 1894.63 for 1823462 special-q, max bucket fill -bkmult 1.0,1s:1.162600
Info:Lattice Sieving: Total time: 370411s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.65/2.43382
Info:Linear Algebra: Total cpu/real time for bwc: 64068/16436
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 41119.57, WCT time 10500.46, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61184 iterations)
Info:Linear Algebra: Lingen CPU time 389.76, WCT time 99.05
Info:Linear Algebra: Mksol: CPU time 22187.59,  WCT time 5683.93, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30720 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.15/30.5483
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.4/118.619
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.2s
Info:Filtering - Merging: Merged matrix has 1950947 rows and total weight 333735500 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 527.6/145.855
Info:Filtering - Merging: Total cpu/real time for replay: 75.56/67.0385
Info:Quadratic Characters: Total cpu/real time for characters: 68.94/29.0352
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 402.07/396.36
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 324.59999999999997s
Info:Square Root: Total cpu/real time for sqrt: 906.95/281.667
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 759945/203002
Info:root: Cleaning up computation data in /tmp/cado.ntndrkkq
2476983311849792339098404033206455343944313651530109409297934648897154043161981 49995303797572418332551177282125514408925260319463050759460087

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)

41889793700758075271487536729393111572226794041645247833163386638296037747613347162475557148559620265481766133720986304946820672340923485400726597145826646450810938287<167>

141946120372026696267484797121708632985375641487<48>
295110522154244742164643068648860616593602997048830494067308802506517186922110541939759506873042601208390526210436946401<120>

41889793700758075271487536729393111572226794041645247833163386638296037747613347162475557148559620265481766133720986304946820672340923485400726597145826646450810938287=141946120372026696267484797121708632985375641487*295110522154244742164643068648860616593602997048830494067308802506517186922110541939759506873042601208390526210436946401

cado polynomial
n: 41889793700758075271487536729393111572226794041645247833163386638296037747613347162475557148559620265481766133720986304946820672340923485400726597145826646450810938287
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11300000
tasks.lim1 = 11300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
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: 141946120372026696267484797121708632985375641487 295110522154244742164643068648860616593602997048830494067308802506517186922110541939759506873042601208390526210436946401
Info:Square Root: Total cpu/real time for sqrt: 1709.51/519.034
Info:Generate Free Relations: Total cpu/real time for freerel: 118.05/32.2492
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 508.55/517.862
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 415.5000000000001s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.83/2.46548
Info:Square Root: Total cpu/real time for sqrt: 1709.51/519.034
Info:Filtering - Merging: Merged matrix has 2304507 rows and total weight 393828748 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 627.6/173.49
Info:Filtering - Merging: Total cpu/real time for replay: 89.16/78.3996
Info:Linear Algebra: Total cpu/real time for bwc: 91924.1/23556.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 58807.64, WCT time 15017.87, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72192 iterations)
Info:Linear Algebra: Lingen CPU time 506.86, WCT time 128.44
Info:Linear Algebra: Mksol: CPU time 31805.73,  WCT time 8141.15, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 403.73/465.149
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28028552
Info:Lattice Sieving: Average J: 1893.86 for 2671574 special-q, max bucket fill -bkmult 1.0,1s:1.148870
Info:Lattice Sieving: Total time: 541677s
Info:Quadratic Characters: Total cpu/real time for characters: 80.58/35.2351
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 115.82/131.184
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 130.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.10803e+06/155647
141946120372026696267484797121708632985375641487 295110522154244742164643068648860616593602997048830494067308802506517186922110541939759506873042601208390526210436946401

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)

87037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<194>

671312334820150444677196636044309217239939541686097573<54>
129652074783274919316785499856334006080429308973147504311365612359298247131075555658734817628784558478028777009577103311731851710772704966569<141>

87037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037=671312334820150444677196636044309217239939541686097573*129652074783274919316785499856334006080429308973147504311365612359298247131075555658734817628784558478028777009577103311731851710772704966569

cado polynomial
n: 87037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
skew: 0.42
type: snfs
c0: -5
c5: 376
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 376*x^5-5
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13000000
tasks.lim1 = 13000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
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: 671312334820150444677196636044309217239939541686097573 129652074783274919316785499856334006080429308973147504311365612359298247131075555658734817628784558478028777009577103311731851710772704966569
Info:Square Root: Total cpu/real time for sqrt: 1327.34/179.55
Info:Filtering - Merging: Merged matrix has 2753186 rows and total weight 469959203 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 866.93/89.3612
Info:Filtering - Merging: Total cpu/real time for replay: 99.9/80.1993
Info:Generate Factor Base: Total cpu/real time for makefb: 6.96/1.67333
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 894.97/797.725
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 627.0999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 103.51/25.9549
Info:Square Root: Total cpu/real time for sqrt: 1327.34/179.55
Info:Linear Algebra: Total cpu/real time for bwc: 165653/30354.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 107278.45, WCT time 19658.73, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (86528 iterations)
Info:Linear Algebra: Lingen CPU time 1364.49, WCT time 119.55
Info:Linear Algebra: Mksol: CPU time 56111.85,  WCT time 10356.45, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (43520 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 673.89/744.743
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29792356
Info:Lattice Sieving: Average J: 1893.97 for 3800660 special-q, max bucket fill -bkmult 1.0,1s:1.133500
Info:Lattice Sieving: Total time: 1.60056e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 144.11/15.8762
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 225.03/204.708
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 203.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.13522e+06/298776
Info:root: Cleaning up computation data in /tmp/cado.h8jh_thu
671312334820150444677196636044309217239939541686097573 129652074783274919316785499856334006080429308973147504311365612359298247131075555658734817628784558478028777009577103311731851710772704966569

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)

166315038817546174591074737608096302311939241378722006577859844830671641569610438235612824509699760966621515741041236693934812098891813818471077<144>

1227189965153430275690904423100656498569681197530031<52>
135525096798483453722054281059375270252585899611329089645402933113060626549994029094755289067<93>

166315038817546174591074737608096302311939241378722006577859844830671641569610438235612824509699760966621515741041236693934812098891813818471077=1227189965153430275690904423100656498569681197530031*135525096798483453722054281059375270252585899611329089645402933113060626549994029094755289067

cado polynomial
n: 166315038817546174591074737608096302311939241378722006577859844830671641569610438235612824509699760966621515741041236693934812098891813818471077
skew: 0.34
type: snfs
c0: -1
c5: 235
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5-1
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13600000
tasks.lim1 = 13600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
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: 1227189965153430275690904423100656498569681197530031 135525096798483453722054281059375270252585899611329089645402933113060626549994029094755289067
Info:Square Root: Total cpu/real time for sqrt: 764.01/240.926
Info:Square Root: Total cpu/real time for sqrt: 764.01/240.926
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 131.13/156.594
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 155.59999999999997s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.62/32.3943
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 579.71/598.07
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 483.59999999999997s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.83/2.78836
Info:Filtering - Merging: Merged matrix has 2798792 rows and total weight 478066082 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 790.53/217.552
Info:Filtering - Merging: Total cpu/real time for replay: 108.51/95.0249
Info:Linear Algebra: Total cpu/real time for bwc: 140002/35803.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 89819.01, WCT time 22905.97, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (87552 iterations)
Info:Linear Algebra: Lingen CPU time 609.76, WCT time 154.8
Info:Linear Algebra: Mksol: CPU time 48533.96,  WCT time 12382.41, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44032 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 468.55/544.883
Info:Quadratic Characters: Total cpu/real time for characters: 95.57/41.9223
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30854472
Info:Lattice Sieving: Average J: 1893.63 for 4324367 special-q, max bucket fill -bkmult 1.0,1s:1.128710
Info:Lattice Sieving: Total time: 1.09872e+06s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.25226e+06/222829
1227189965153430275690904423100656498569681197530031 135525096798483453722054281059375270252585899611329089645402933113060626549994029094755289067

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)

1241446795848809118631301346670558179413521059671958476604865771417227528741829816159302221706040597369714679451237281011980025562069346073756666416879343637474103068805529523<175>

427003775425786304553296445262212368758337983<45>
2907343839315944991875475173174018113684702067897209672081788299228213210025105405447532629966252460586075781529488821324006426381<130>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1241446795848809118631301346670558179413521059671958476604865771417227528741829816159302221706040597369714679451237281011980025562069346073756666416879343637474103068805529523 (175 digits)
Using B1=45630000, B2=240493423186, polynomial Dickson(12), sigma=1:865305408
Step 1 took 125686ms
Step 2 took 39653ms
********** Factor found in step 2: 427003775425786304553296445262212368758337983
Found prime factor of 45 digits: 427003775425786304553296445262212368758337983
Prime cofactor 2907343839315944991875475173174018113684702067897209672081788299228213210025105405447532629966252460586075781529488821324006426381 has 130 digits

90038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659<197>

269550431871304357402738733010855881878491946808015513395878404573<66>
334031422436130984520419764292349298923286841253273467983517788847418557220326800827207808874315369667791373452681646260871939816783<132>

Number: n
N=90038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659  ( 197 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Nov  5 08:36:56 2021  p66 factor: 269550431871304357402738733010855881878491946808015513395878404573
Fri Nov  5 08:36:56 2021  p132 factor: 334031422436130984520419764292349298923286841253273467983517788847418557220326800827207808874315369667791373452681646260871939816783
Fri Nov  5 08:36:56 2021  elapsed time 01:17:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 47x10^198-2 = 52(198)
#
n: 90038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659003831417624521072796934865900383141762452107279693486590038314176245210727969348659
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23500
c0: -1
skew: 0.13
# Murphy_E = 1.389e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4435667 hash collisions in 31056222 relations (28199495 unique)
Msieve: matrix is 1793704 x 1793929 (624.3 MB)

Sieving start time : 2021/11/05 00:07:06
Sieving end time  : 2021/11/05 07:18:43

Total sieving time: 7hrs 11min 37secs.

Total relation processing time: 1hrs 3min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 11sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

14374475290559309196543044559550282622668784873380997967121343826859615237729748874053053019701336916036653573957193707478119911586097190772910445950928275179573747890643569377<176>

575992234848620286217033874588326003<36>
2972683062517710997774481736259465441297387013<46>
8395117198760569603605241767017546919622203744956655351675664428770373898461233841894775941343<94>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 14374475290559309196543044559550282622668784873380997967121343826859615237729748874053053019701336916036653573957193707478119911586097190772910445950928275179573747890643569377 (176 digits)
Using B1=35980000, B2=192389627446, polynomial Dickson(12), sigma=1:2277143235
Step 1 took 99973ms
********** Factor found in step 1: 575992234848620286217033874588326003
Found prime factor of 36 digits: 575992234848620286217033874588326003
Composite cofactor 24956022704606677155513402933196162278048610619551926874592585495916878354029050923102065996986479109084419666101264755200353304763257978459 has 140 digits



STA:Mon 08 Nov 2021 21:39:42 AEDT (24,956,022,704,606,677,155,513,402,933,196,162,278,048,610,619,551,926,874,592,585,495,916,878,354,029,050,923,102,065,996,986,479,109,084,419,666,101,264,755,200,353,304,763,257,978,459 - C140)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 24956022704606677155513402933196162278048610619551926874592585495916878354029050923102065996986479109084419666101264755200353304763257978459 2>&1 | tee -a log60

Debug:root: Looking for parameter file for c140 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c140
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.awnvq2ff
Info:Database: Opened connection to database /tmp/cado.awnvq2ff/c140.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 24956022704606677155513402933196162278048610619551926874592585495916878354029050923102065996986479109084419666101264755200
353304763257978459
Debug:root: Root parameter dictionary:
N = 24956022704606677155513402933196162278048610619551926874592585495916878354029050923102065996986479109084419666101264755200353304763257978459
lim0 = 16496796
lim1 = 20245449
lpb0 = 28
lpb1 = 28
name = c140
...
n: 24956022704606677155513402933196162278048610619551926874592585495916878354029050923102065996986479109084419666101264755200353304763257978459
skew: 762767.562
c0: -993102873627008405561988766671488
c1: 23014611576416566743725090614
c2: -28747115886732846285897
c3: -94662414437337799
c4: 15210825560
c5: 24000
Y0: -1325314807861214801141741631
Y1: 46206072096101164997
# MurphyE (Bf=2.02e+07,Bg=1.65e+07,area=6.79e+14) = 8.26e-10
# f(x) = 24000*x^5+15210825560*x^4-94662414437337799*x^3-28747115886732846285897*x^2+23014611576416566743725090614*x-993102873627008405561988766671488
# g(x) = 46206072096101164997*x-1325314807861214801141741631
...
Info:Square Root: finished
Info:Square Root: Factors: 8395117198760569603605241767017546919622203744956655351675664428770373898461233841894775941343 2972683062517710997774481736259465441297387013
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 2473.14/337.526
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66223/41.340/50.186/55.880/0.957
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66223/40.410/44.944/50.890/1.262
Info:Polynomial Selection (size optimized): Total time: 27954.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3432.01
Info:Polynomial Selection (root optimized): Rootsieve time: 3431.13
Info:Generate Factor Base: Total cpu/real time for makefb: 26.42/2.37926
Info:Generate Free Relations: Total cpu/real time for freerel: 302.11/20.1089
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25182795
Info:Lattice Sieving: Average J: 3823.07 for 854812 special-q, max bucket fill: 0.648297
Info:Lattice Sieving: Total CPU time: 821868s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 68.79/89.5565
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 407.33/129.471
Info:Filtering - Singleton removal: Total cpu/real time for purge: 178.87/87.5258
Info:Filtering - Merging: Total cpu/real time for merge: 1128.73/947.765
Info:Filtering - Merging: Total cpu/real time for replay: 89.03/71.5093
Info:Linear Algebra: Total cpu/real time for bwc: 142595/0.000272512
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 6119.91
Info:Linear Algebra: Lingen CPU time 559.12, WCT time 54.11
Info:Linear Algebra: Mksol: WCT time 3381.77
Info:Quadratic Characters: Total cpu/real time for characters: 82.4/20.097
Info:Square Root: Total cpu/real time for sqrt: 2473.14/337.526
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.00061e+06/66382.1
Info:root: Cleaning up computation data in /tmp/cado.awnvq2ff
8395117198760569603605241767017546919622203744956655351675664428770373898461233841894775941343 2972683062517710997774481736259465441297387013

END:Tue 09 Nov 2021 16:06:05 AEDT (24,956,022,704,606,677,155,513,402,933,196,162,278,048,610,619,551,926,874,592,585,495,916,878,354,029,050,923,102,065,996,986,479,109,084,419,666,101,264,755,200,353,304,763,257,978,459 - C140)

35092593749901535408494292234425634366203938712084188416645614843671379990265762484335823458986770495347789779594170430272681250521442343831648612572493645515255370223354802086208406073933643967<194>

1481385037928616683378696908936731077920872659813406992183503766769246165472806252611<85>
23689042923621412909104053614222563295057585617547987025164120084473965347446385437387227747098099513147683797<110>

35092593749901535408494292234425634366203938712084188416645614843671379990265762484335823458986770495347789779594170430272681250521442343831648612572493645515255370223354802086208406073933643967=1481385037928616683378696908936731077920872659813406992183503766769246165472806252611*23689042923621412909104053614222563295057585617547987025164120084473965347446385437387227747098099513147683797

cado polynomial
n: 35092593749901535408494292234425634366203938712084188416645614843671379990265762484335823458986770495347789779594170430272681250521442343831648612572493645515255370223354802086208406073933643967
skew: 0.53
type: snfs
c0: -2
c5: 47
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 47*x^5-2
# g(x) = -x+10000000000000000000000000000000000000000

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 = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 23689042923621412909104053614222563295057585617547987025164120084473965347446385437387227747098099513147683797 1481385037928616683378696908936731077920872659813406992183503766769246165472806252611
Info:Square Root: Total cpu/real time for sqrt: 942.16/302.218
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 196.16/233.65
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 233.1s
Info:Linear Algebra: Total cpu/real time for bwc: 700.36/216.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Mksol: CPU time 691.77,  WCT time 183.14, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51712 iterations)
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Generate Free Relations: Total cpu/real time for freerel: 234.69/61.3223
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46697020
Info:Lattice Sieving: Average J: 1894.21 for 3722355 special-q, max bucket fill -bkmult 1.0,1s:1.123960
Info:Lattice Sieving: Total time: 1.2189e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.76/2.95435
Info:Square Root: Total cpu/real time for sqrt: 942.16/302.218
Info:Filtering - Merging: Merged matrix has 3309190 rows and total weight 564756843 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 950.34/262.565
Info:Filtering - Merging: Total cpu/real time for replay: 134.13/116.656
Info:Filtering - Singleton removal: Total cpu/real time for purge: 554.16/654.136
Info:Quadratic Characters: Total cpu/real time for characters: 120.56/50.3787
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 804.71/791.678
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 652.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.35432e+06/573.166
23689042923621412909104053614222563295057585617547987025164120084473965347446385437387227747098099513147683797 1481385037928616683378696908936731077920872659813406992183503766769246165472806252611

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)

144053378128942669039426773107580204770072552230375185357094818838536497645630447062598910433948105713164364348093765919286688621431531798105215677407266244326351993755773872412163310679<186>

249067937425687483967170290605350588458849011<45>
18348327794016514558504165343321583578289008856641321032341532141<65>
31521663797482403143405477672680756835687857102152768590640745214440519661729<77>

Number: n
N=144053378128942669039426773107580204770072552230375185357094818838536497645630447062598910433948105713164364348093765919286688621431531798105215677407266244326351993755773872412163310679  ( 186 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Nov 12 00:19:44 2021  found factor: 18348327794016514558504165343321583578289008856641321032341532141
Fri Nov 12 00:22:20 2021  p45 factor: 249067937425687483967170290605350588458849011
Fri Nov 12 00:22:20 2021  p65 factor: 18348327794016514558504165343321583578289008856641321032341532141
Fri Nov 12 00:22:20 2021  p77 factor: 31521663797482403143405477672680756835687857102152768590640745214440519661729
Fri Nov 12 00:22:20 2021  elapsed time 01:49:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 47x10^201-2 = 52(201)
#
n: 144053378128942669039426773107580204770072552230375185357094818838536497645630447062598910433948105713164364348093765919286688621431531798105215677407266244326351993755773872412163310679
m: 10000000000000000000000000000000000000000
deg: 5
c5: 235
c0: -1
skew: 0.34
# Murphy_E = 1.123e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9962769 hash collisions in 66067237 relations (58656927 unique)
Msieve: matrix is 2144619 x 2144848 (734.9 MB)

Sieving start time : 2021/11/11 10:25:37
Sieving end time  : 2021/11/11 22:31:35

Total sieving time: 12hrs 5min 58secs.

Total relation processing time: 1hrs 28min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 14sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

900209587562312076699664940842305578642100797432850484277707394795407241007815048868030687983951477186281469359169792855146827075894130587137876663540870831113598447661732219526611649151058880721<195>

15920453373108415689029853758079804526207421419095341675171264565915700327551256784387<86>
56544218086331365705082738471302014378570672360241218435153395093619228988054390136025246878329463137763241883<110>

Number: n
N=900209587562312076699664940842305578642100797432850484277707394795407241007815048868030687983951477186281469359169792855146827075894130587137876663540870831113598447661732219526611649151058880721  ( 195 digits)
SNFS difficulty: 203 digits.
Divisors found:

Thu Nov 11 10:23:35 2021  p86 factor: 15920453373108415689029853758079804526207421419095341675171264565915700327551256784387
Thu Nov 11 10:23:35 2021  p110 factor: 56544218086331365705082738471302014378570672360241218435153395093619228988054390136025246878329463137763241883
Thu Nov 11 10:23:35 2021  elapsed time 01:44:44 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 47x10^202-2 = 52(202)
#
n: 900209587562312076699664940842305578642100797432850484277707394795407241007815048868030687983951477186281469359169792855146827075894130587137876663540870831113598447661732219526611649151058880721
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2350
c0: -1
skew: 0.21
# Murphy_E = 1.165e-11
type: snfs
lss: 1
rlim: 17200000
alim: 17200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17200000/17200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9847302 hash collisions in 73328697 relations (65195418 unique)
Msieve: matrix is 1966625 x 1966852 (673.6 MB)

Sieving start time : 2021/11/10 20:25:50
Sieving end time  : 2021/11/11 08:35:35

Total sieving time: 12hrs 9min 45secs.

Total relation processing time: 1hrs 18min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 3sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17200000,17200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

2626122653084375469463023648814018028445812003791497678164117663969774866089347594158089804383262141644739861814176595386346705647036878615132783073752848708157938313<166>

299590644875132328632955419736948193841000788144481<51>
8765703128610469152090614256677699283311006632047662990474938639905817086114928086814451113901621594728904964895273<115>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1117322779
Step 1 took 26141ms
Step 2 took 12031ms
********** Factor found in step 2: 299590644875132328632955419736948193841000788144481
Found prime factor of 51 digits: 299590644875132328632955419736948193841000788144481
Prime cofactor 8765703128610469152090614256677699283311006632047662990474938639905817086114928086814451113901621594728904964895273 has 115 digits
 

GMP-ECM

244508953189541259585271196845314272039620855053011621978753732663274755230930902810292266233833796339648947571037654378791189353976131764314178397894101611678163789784728074830144312305563359032785009<201>

89425788136109744890801541859983019841948838366667208157435588829642802818484352983406481761<92>
2734210771700312318986331674116487384053094207934464133370193190478822954172992016156645031248597121398583569<109>

Number: n
N=244508953189541259585271196845314272039620855053011621978753732663274755230930902810292266233833796339648947571037654378791189353976131764314178397894101611678163789784728074830144312305563359032785009  ( 201 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Oct 30 11:04:36 2023  prp92 factor: 89425788136109744890801541859983019841948838366667208157435588829642802818484352983406481761
Mon Oct 30 11:04:36 2023  prp109 factor: 2734210771700312318986331674116487384053094207934464133370193190478822954172992016156645031248597121398583569
Mon Oct 30 11:04:36 2023  elapsed time 02:45:13 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 7x10^204-2 = 52(204)
#
n: 244508953189541259585271196845314272039620855053011621978753732663274755230930902810292266233833796339648947571037654378791189353976131764314178397894101611678163789784728074830144312305563359032785009
m: 10000000000000000000000000000000000
deg: 6
c6: 47
c0: -2
skew: 0.59
# Murphy_E = 8.575e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4010089 hash collisions in 21508901 relations (18133847 unique)
Msieve: matrix is 2283040 x 2283266 (639.9 MB)

Sieving start time: 2023/10/29 09:06:53
Sieving end time  : 2023/10/30 08:18:57

Total sieving time: 23hrs 12min 4secs.

Total relation processing time: 2hrs 36min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 12sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18700000,18700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

14979961562982516249470569173468446255268797060465187408891780190572410460185782798189541425723114862049514971540799024838576259317825178903694179919336917561818861852305937<173>

30022061102146346869030314783759098435596614427<47>

498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3618674109
Step 1 took 23562ms
Step 2 took 10500ms
********** Factor found in step 2: 30022061102146346869030314783759098435596614427
Found prime factor of 47 digits: 30022061102146346869030314783759098435596614427
Composite cofactor 498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131 has 126 digits
 

GMP-ECM

498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131<126>

66431578989704548160350858257932894486930184689306119605292709<62>
7510962943614710976685074703996663348485859543076212505423938759<64>

CADO:



STA:Fri 26 Jan 2024 18:12:13 AEDT (498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131 - C126)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131 2>&1 | tee -a log-09



Debug:root: Looking for parameter file for c126 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c125

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c125

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.iq3d2uzh

Info:Database: Opened connection to database /tmp/cado.iq3d2uzh/c125.db

Info:root: Set tasks.threads=30 based on --server-threads 30

Info:root: tasks.threads = 30 [via tasks.threads]

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

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

Info:root: tasks.linalg.bwc.threads = 30 [via tasks.threads]

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

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

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131

Debug:root: Root parameter dictionary:

N = 498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131

===

Best polynomial is:

n: 498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131

skew: 57283.65

c0: -20923333949127265128513034902

c1: 5784777486464909766383165

c2: -157927451834550717930

c3: -4746188958085595

c4: 22340614482

c5: 19440

Y0: 1403313027840526737932400

Y1: 17929273474907257837

# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.342e+13) = 2.853e-06

# f(x) = 19440*x^5+22340614482*x^4-4746188958085595*x^3-157927451834550717930*x^2+5784777486464909766383165*x-20923333949127265128513034902

# g(x) = 17929273474907257837*x+1403313027840526737932400

===



Debug:Command: Process with PID 106200 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 7510962943614710976685074703996663348485859543076212505423938759 66431578989704548160350858257932894486930184689306119605292709

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

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 1671.86/240.716

Info:HTTP server: Got notification to stop serving Workunits

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 31001538

Info:Lattice Sieving: Average J: 3826.42 for 177072 special-q, max bucket fill -bkmult 1.0,1s:1.401710

Info:Lattice Sieving: Total time: 393426s

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

Info:Polynomial Selection (size optimized): potential collisions: 39657.6

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 27127/37.480/46.401/57.940/2.458

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22514/36.470/40.751/53.250/1.834

Info:Polynomial Selection (size optimized): Total time: 5016.62

Info:Square Root: Total cpu/real time for sqrt: 1671.86/240.716

Info:Quadratic Characters: Total cpu/real time for characters: 44.69/11.9199

Info:Filtering - Singleton removal: Total cpu/real time for purge: 326.5/619.835

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 209.92/1085.73

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

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1083.6s

Info:Filtering - Merging: Total cpu/real time for merge: 117.84/19.9926

Info:Filtering - Merging: Total cpu/real time for replay: 19.14/16.3516

Info:Generate Factor Base: Total cpu/real time for makefb: 2.97/1.05215

Info:Linear Algebra: Total cpu/real time for bwc: 10508.3/4706.36

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 5922.66, WCT time 2785.82, iteration CPU time 0.02, COMM 0.05, cpu-wait 0.01, comm-wait 0.01 (33000 iterations)

Info:Linear Algebra: Lingen CPU time 199.88, WCT time 30.19

Info:Linear Algebra: Mksol: CPU time 3467.91,  WCT time 1553.7, iteration CPU time 0.03, COMM 0.05, cpu-wait 0.01, comm-wait 0.0 (18000 iterations)

Info:Generate Free Relations: Total cpu/real time for freerel: 398.29/42.0647

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 785.14/2005.49

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

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1604.7000000000003s

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

Info:Polynomial Selection (root optimized): Total time: 994.56

Info:Polynomial Selection (root optimized): Rootsieve time: 992.32

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 176144/33189.2 [09:13:09]

Info:root: Cleaning up computation data in /tmp/cado.iq3d2uzh

7510962943614710976685074703996663348485859543076212505423938759 66431578989704548160350858257932894486930184689306119605292709



END:Sat 27 Jan 2024 03:25:24 AEDT (498965128077484460554447089317270590204016574053030278691575058042217272945033537680194377459812378279746192527699405885208131 - C126)

534527714835341312324329765359360109955382728256360661787819648199470106246822745583408286275143797821911802818625566203454870637068315157404116738888327676648183448034688606115180698969<186>

258920101472811080974305607737761<33>

2064450430054661043378456690416541157809354056542086449415726796484287766298746001828282583968299322377494332301594366272587610527401232696003813637279929<154>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 534527714835341312324329765359360109955382728256360661787819648199470106246822745583408286275143797821911802818625566203454870637068315157404116738888327676648183448034688606115180698969 (186 digits)
Run 243 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1611291100
Step 1 took 2417ms
Step 2 took 1373ms
********** Factor found in step 2: 258920101472811080974305607737761
Found prime factor of 33 digits: 258920101472811080974305607737761
Composite cofactor 2064450430054661043378456690416541157809354056542086449415726796484287766298746001828282583968299322377494332301594366272587610527401232696003813637279929 has 154 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

2064450430054661043378456690416541157809354056542086449415726796484287766298746001828282583968299322377494332301594366272587610527401232696003813637279929<154>

319778333697372289696463287423413460656461238553<48>
6455879628193913579067019193112793664714201530161874178720334679822591825198623530795467446904425055506593<106>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2064450430054661043378456690416541157809354056542086449415726796484287766298746001828282583968299322377494332301594366272587610527401232696003813637279929 (154 digits)
Using B1=43620000, B2=240491351116, polynomial Dickson(12), sigma=1:77763409
Step 1 took 85760ms
Step 2 took 31893ms
********** Factor found in step 2: 319778333697372289696463287423413460656461238553
Found prime factor of 48 digits: 319778333697372289696463287423413460656461238553
Prime cofactor 6455879628193913579067019193112793664714201530161874178720334679822591825198623530795467446904425055506593 has 106 digits

192914224335633972860889449521417164871173475220229023930517888611242495810894138202282799822306526963950235870577057287912922022287518742580682649<147>

6964512022541718813538232753602367468163588049637965450572335690920435157444282409954064580322397098318781687292408845156334910061315035165904228086637772615761662284889826762428743606984916785006531<199>

717730603025035970519902669621884247462516901028614850182135593665523489795550620012344966372030618692942325917496409056355290697692175423132732211047004024483470664212333421598926641518608005780938235769311<207>

1439751487243930130595083065358295481<37>
498510061898921550492509262609763875267221389447809733674777080236150069539615437693847142241415937324060005705631433908890142697519312019435379035523028108923772528057431<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2189214585
Step 1 took 10589ms
Step 2 took 3715ms
********** Factor found in step 2: 1439751487243930130595083065358295481
Found prime factor of 37 digits: 1439751487243930130595083065358295481
Prime cofactor 498510061898921550492509262609763875267221389447809733674777080236150069539615437693847142241415937324060005705631433908890142697519312019435379035523028108923772528057431 has 171 digits

2649535085267220329858346321858166810199920414504066312710638402049028594433700781201852159890261959100141216535224203336002182967467725144671088579533421385303378609037270617611494477168693<190>

6525321497246460017507045314751721442565591244388358005315505979563705458671017855467248838620256990870725729168322289104478157940271802591320335709636225614095611503543578153916525004257118077926971<199>

107252171220888926971944939519093751743541<42>
2886020910817402696446230039741283894441111882532689189243270269077<67>
21081249467487420554736585424684189379836845774924192039555408578526620935305944908618526003<92>

Number: n
N=60840926789326931042113453772840132803673429934888638824389557521851645773925369114119910287760670488897121146523279030760522126639408000150848564096931309231  ( 158 digits)
SNFS difficulty: 219 digits.
Divisors found:

Thu Dec 30 01:04:02 2021  p67 factor: 2886020910817402696446230039741283894441111882532689189243270269077
Thu Dec 30 01:04:02 2021  p92 factor: 21081249467487420554736585424684189379836845774924192039555408578526620935305944908618526003
Thu Dec 30 01:04:02 2021  elapsed time 07:12:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 47x10^218-2 = 52(218)
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 65253214972464600175070453147517214425655912443883580053155059795637054586710178554672488386202569908707257291683222891044781579402718025913203357096362256140956115035435781539165250042
57118077926971 (199 digits)
# Using B1=41070000, B2=192394462276, polynomial Dickson(12), sigma=1:3741823941
# Step 1 took 133528ms
# Step 2 took 38584ms
# ********** Factor found in step 2: 107252171220888926971944939519093751743541
# Found prime factor of 42 digits: 107252171220888926971944939519093751743541
# Composite cofactor 60840926789326931042113453772840132803673429934888638824389557521851645773925369114119910287760670488897121146523279030760522126639408000150848564096931309231 has 158 digits
#
n: 60840926789326931042113453772840132803673429934888638824389557521851645773925369114119910287760670488897121146523279030760522126639408000150848564096931309231
m: 1000000000000000000000000000000000000
deg: 6
c6: 2350
c0: -1
skew: 0.27
# Murphy_E = 2.138e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 115200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 12457679 hash collisions in 70755806 relations (59513183 unique)
Msieve: matrix is 4186718 x 4186944 (1454.9 MB)

Sieving start time : 2021/12/27 12:36:57
Sieving end time  : 2021/12/29 17:49:43

Total sieving time: 53hrs 12min 46secs.

Total relation processing time: 6hrs 44min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 52sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

55777263064823461829350143505837720176411286875098132021939216645619887586029397952892108968604171453328816102299274810884593<125>

15605083032762602495271281200756288442458712917303508683199<59>
3574300947179842663984890460130434071713804159124939251991798857807<67>

55777263064823461829350143505837720176411286875098132021939216645619887586029397952892108968604171453328816102299274810884593=15605083032762602495271281200756288442458712917303508683199*3574300947179842663984890460130434071713804159124939251991798857807

cado polynomial
n: 55777263064823461829350143505837720176411286875098132021939216645619887586029397952892108968604171453328816102299274810884593
skew: 93218.408
c0: 115418073936091107029821125650
c1: -28676598206905293595866047
c2: -162602790571405864472
c3: 9794648588413904
c4: 12270120480
c5: -61200
Y0: -1687375251204238478798099
Y1: 5050862366509579
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.659e-07
# f(x) = -61200*x^5+12270120480*x^4+9794648588413904*x^3-162602790571405864472*x^2-28676598206905293595866047*x+115418073936091107029821125650
# g(x) = 5050862366509579*x-1687375251204238478798099

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

cado log (extracts)
Info:Square Root: Factors: 15605083032762602495271281200756288442458712917303508683199 3574300947179842663984890460130434071713804159124939251991798857807
Info:Square Root: Total cpu/real time for sqrt: 564.28/151.053
Info:Generate Factor Base: Total cpu/real time for makefb: 8.55/2.29593
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.41/57.4731
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2945.15
Info:Polynomial Selection (root optimized): Rootsieve time: 2942.69
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 126.91/110.32
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.19999999999999s
Info:Filtering - Merging: Merged matrix has 790280 rows and total weight 135127831 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 164.86/47.7082
Info:Filtering - Merging: Total cpu/real time for replay: 30.05/24.6204
Info:Linear Algebra: Total cpu/real time for bwc: 9320.01/2403.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5854.8, WCT time 1501.72, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 144.93, WCT time 36.81
Info:Linear Algebra: Mksol: CPU time 3195.49,  WCT time 819.09, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 30.21/12.0035
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20335/37.010/44.445/48.690/0.873
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16111/36.520/39.823/45.220/0.959
Info:Polynomial Selection (size optimized): Total time: 1970.82
Info:Generate Free Relations: Total cpu/real time for freerel: 125.88/32.1327
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.64/58.516
Info:Square Root: Total cpu/real time for sqrt: 564.28/151.053
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11633623
Info:Lattice Sieving: Average J: 3798.35 for 191222 special-q, max bucket fill -bkmult 1.0,1s:1.210310
Info:Lattice Sieving: Total time: 56998s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 121662/33000.9
Info:root: Cleaning up computation data in /tmp/cado.l5ny46oc
15605083032762602495271281200756288442458712917303508683199 3574300947179842663984890460130434071713804159124939251991798857807

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

44592826505473635539538015550411594865652570580947971723528337264990282214948114454713905147785384641557346815574906529179387862725582665570718822743113587714409936204309848467840738598038397511834798791<203>

249573983066388901476384142611651520512091246143098377596775025729511865327631778115783<87>
178675781656341745665609777624245526176672575136820688625364795823931465510517587195987972298095077742051032190424577<117>

Number: 52222_220
N = 44592826505473635539538015550411594865652570580947971723528337264990282214948114454713905147785384641557346815574906529179387862725582665570718822743113587714409936204309848467840738598038397511834798791 (203 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=249573983066388901476384142611651520512091246143098377596775025729511865327631778115783 (pp87)
r2=178675781656341745665609777624245526176672575136820688625364795823931465510517587195987972298095077742051032190424577 (pp117)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 30.32 hours.
Factorization parameters were as follows:
n: 44592826505473635539538015550411594865652570580947971723528337264990282214948114454713905147785384641557346815574906529179387862725582665570718822743113587714409936204309848467840738598038397511834798791
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 47
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31519257
Relations: 7522734 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.87 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6592848 x 6593073
Matrix solve time: 16.07 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 30.32 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

137960508476756138973877285403642235020810839357215380121815237993363215930190462153323977084545932273444869483189614281562561656160497758383164714027036281231955882079135509589166939640143362353819689139<204>

159649774986344433508698281427455588332936767426971<51>
864144709809685134331007163772007528361678920075414090775228507647972455036742243793509298214561629366660024295237460685217164641382086943410231075998409<153>

Number: 52222_221
N = 137960508476756138973877285403642235020810839357215380121815237993363215930190462153323977084545932273444869483189614281562561656160497758383164714027036281231955882079135509589166939640143362353819689139 (204 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=159649774986344433508698281427455588332936767426971 (pp51)
r2=864144709809685134331007163772007528361678920075414090775228507647972455036742243793509298214561629366660024295237460685217164641382086943410231075998409 (pp153)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.91 hours.
Factorization parameters were as follows:
n: 137960508476756138973877285403642235020810839357215380121815237993363215930190462153323977084545932273444869483189614281562561656160497758383164714027036281231955882079135509589166939640143362353819689139
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 235
c0: -1
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: 30291132
Relations: 7747750 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.75 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 6669377 x 6669602
Matrix solve time: 36.16 hours.
time per square root: 0.58 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: 49.91 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

188670273030693209186045692905346620890923027401916486942174560418134431069970072800150981178149191668709323441808544102716014556770616199439989698442522079018273583023426352835906486759365108634777649233107926951013<216>

78753537975525967256558754916801109<35>

2395705359793813715458436657374315492080777943359550650987408415365731532469247262169597937880475322047236081677917028176836300566783749112940788770722335541161308386923335303074257<181>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3795260619
Step 1 took 12561ms
Step 2 took 4874ms
********** Factor found in step 2: 78753537975525967256558754916801109
Found prime factor of 35 digits: 78753537975525967256558754916801109
Composite cofactor 2395705359793813715458436657374315492080777943359550650987408415365731532469247262169597937880475322047236081677917028176836300566783749112940788770722335541161308386923335303074257 has 181 digits

2395705359793813715458436657374315492080777943359550650987408415365731532469247262169597937880475322047236081677917028176836300566783749112940788770722335541161308386923335303074257<181>

100010419734248815434682369998614089504261<42>
23954557596696081993441770003450339286302488787426745445459745440861812911546273544309454074065899735889805894081148310827453677097721260637<140>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2395705359793813715458436657374315492080777943359550650987408415365731532469247262169597937880475322047236081677917028176836300566783749112940788770722335541161308386923335303074257 (181 digits)
Using B1=35890000, B2=192388936756, polynomial Dickson(12), sigma=1:3380806513
Step 1 took 100487ms
Step 2 took 33925ms
********** Factor found in step 2: 100010419734248815434682369998614089504261
Found prime factor of 42 digits: 100010419734248815434682369998614089504261
Prime cofactor 23954557596696081993441770003450339286302488787426745445459745440861812911546273544309454074065899735889805894081148310827453677097721260637 has 140 digits

229141962172406256890537963367559352472752434276581021847194620064125216259114497500567254059050898831102251834765051933808171650016687871559068552255234609030538439<165>

37931827941185339692027850797248186412483<41>
29546937884578116698072677808460629659986346439<47>
204450593964438359667668168571678504166087802964572028846166887832477846471147<78>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 229141962172406256890537963367559352472752434276581021847194620064125216259114497500567254059050898831102251834765051933808171650016687871559068552255234609030538439 (165 digits)
Using B1=35300000, B2=192388936756, polynomial Dickson(12), sigma=1:4106353921
Step 1 took 84728ms
Step 2 took 31376ms
********** Factor found in step 2: 37931827941185339692027850797248186412483
Found prime factor of 41 digits: 37931827941185339692027850797248186412483
Composite cofactor 6040889000332361820349161114934843880701405232641978808260544855974507988235067027346632097813477007364111748362077559695533 has 124 digits


CADO

STA:Thu 02 Dec 2021 00:52:31 AEDT (6,040,889,000,332,361,820,349,161,114,934,843,880,701,405,232,641,978,808,260,544,855,974,507,988,235,067,027,346,632,097,813,477,007,364,111,748,362,077,559,695,533 - C124)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6040889000332361820349161114934843880701405232641978808260544855974507988235067027346632097813477007364111748362077559695533 2>&1 | tee -a log110

Debug:root: Looking for parameter file for c124 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ejxn0673
Info:Database: Opened connection to database /tmp/cado.ejxn0673/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 6040889000332361820349161114934843880701405232641978808260544855974507988235067027346
632097813477007364111748362077559695533
Debug:root: Root parameter dictionary:
N = 6040889000332361820349161114934843880701405232641978808260544855974507988235067027346632097813477007364111748362077559695533
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 6040889000332361820349161114934843880701405232641978808260544855974507988235067027346632097813477007364111748362077559695533
skew: 69029.43
c0: -218355283039684130144442693440
c1: -10447098661560802973274424
c2: 337242943219528705850
c3: -2883915827896151
c4: -44156558310
c5: -171000
Y0: -706926255355766812666731
Y1: 1287294428818139
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.9e-10
# f(x) = -171000*x^5-44156558310*x^4-2883915827896151*x^3+337242943219528705850*x^2-10447098661560802973274424*x-218355283039684130144442693440
# g(x) = 1287294428818139*x-706926255355766812666731
...
Info:Square Root: finished
Info:Square Root: Factors: 29546937884578116698072677808460629659986346439 204450593964438359667668168571678504166087802964572028846166887832477846471147
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 590.76/81.316
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 22066/36.440/44.048/48.090/0.884
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22066/35.740/39.805/44.850/1.273
Info:Polynomial Selection (size optimized): Total time: 1759.52
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 938.71
Info:Polynomial Selection (root optimized): Rootsieve time: 937.86
Info:Generate Factor Base: Total cpu/real time for makefb: 11.91/1.11288
Info:Generate Free Relations: Total cpu/real time for freerel: 149.64/10.0468
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13066094
Info:Lattice Sieving: Average J: 3788.27 for 194283 special-q, max bucket fill: 0.721699
Info:Lattice Sieving: Total CPU time: 136449s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 34.14/41.7435
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 190.3/60.4436
Info:Filtering - Singleton removal: Total cpu/real time for purge: 136.58/53.1457
Info:Filtering - Merging: Total cpu/real time for merge: 234.31/192.79
Info:Filtering - Merging: Total cpu/real time for replay: 21.47/16.5651
Info:Linear Algebra: Total cpu/real time for bwc: 9649.01/0.000342369
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 403.2
Info:Linear Algebra: Lingen CPU time 142.06, WCT time 14.21
Info:Linear Algebra: Mksol: WCT time 218.32
Info:Quadratic Characters: Total cpu/real time for characters: 23.58/5.57354
Info:Square Root: Total cpu/real time for sqrt: 590.76/81.316
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 150189/10338.1
Info:root: Cleaning up computation data in /tmp/cado.ejxn0673
29546937884578116698072677808460629659986346439 204450593964438359667668168571678504166087802964572028846166887832477846471147

END:Thu 02 Dec 2021 03:44:50 AEDT (6,040,889,000,332,361,820,349,161,114,934,843,880,701,405,232,641,978,808,260,544,855,974,507,988,235,067,027,346,632,097,813,477,007,364,111,748,362,077,559,695,533 - C124)

373015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873015873<225>

8005323637781877708707344672453288423636688803567039031662437591982588691429306924226035977684168653377726074110804860778567199399585656718795960346105183058415737015339331770230804293114595654962473260942030362267397<217>

816188941786751199212498680330776947<36>
9808174587929493386223497810160236067251154230403260987915664231804732379961296169300455746219703483990099476418922632516102678352860478477893287844220062359458711532023641883197351<181>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8005323637781877708707344672453288423636688803567039031662437591982588691429306924226035977684168653377726074110804860778567199399585656718795960346105183058415737015339331770230804293114595654962473260942030362267397 (217 digits)
Run 458 out of 1200:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:56029830
Step 1 took 3238ms
Step 2 took 1662ms
********** Factor found in step 2: 816188941786751199212498680330776947
Found prime factor of 36 digits: 816188941786751199212498680330776947
Prime cofactor 9808174587929493386223497810160236067251154230403260987915664231804732379961296169300455746219703483990099476418922632516102678352860478477893287844220062359458711532023641883197351 has 181 digits

GMP-ECM 7.0.4

Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

6200614992456910964002813309260815037536859552524460643152689742864340644107225607601013809205742098669707209733182294056711031056369380072700532662669960799582728268417230834964838490508702931616757400753984809327581017<220>

114371927775344332505961940915948800311480994792427118314109115685988222124884411349588747749063123570350902808195843675475738550639996106487565094661021073636053925147223438944858130140653136710955370613714897551954056553268117<228>

1996002262979637244941616011707113411016922455602691430517850205109191477598683821324361636400350441526535687518820641520128182308565461304997047359160253222548194128224030701<175>

299917355659191076558757656901820603021143591315860733519894002159768342635471382845057631585247417015829217108130569210275563067813260635158926249192627461824844907510947115259740008578945517<192>

3207999363134684234736444602488262201520660749<46>
8337413033271103509316812037780439385795227926400466901275916946431<67>
11213366269814767759571757763785343790706104733795003534534895812984252877731743<80>

p46: 3207999363134684234736444602488262201520660749
p67: 8337413033271103509316812037780439385795227926400466901275916946431
p80: 11213366269814767759571757763785343790706104733795003534534895812984252877731743

http://factordb.com/index.php?id=1100000002668103634

factordb, Before November 4, 2018

2095058914924891508663618273994812911342521079104353171535049671782910866357054165588543576260871820708095678560157163619375952758062164120372944367077343690541002015745060263549<178>