92459275449175173269298586923935874487347219368655028451938078321981019121638362581243040744435733<98>

1300465997077585496479179517820845550239<40>
71097034183861921130988603632640857119549149513987964345547<59>

N=92459275449175173269298586923935874487347219368655028451938078321981019121638362581243040744435733
  ( 98 digits)
SNFS difficulty: 105 digits.
Divisors found:
p40 factor: 1300465997077585496479179517820845550239
p59 factor: 71097034183861921130988603632640857119549149513987964345547
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.11 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 92459275449175173269298586923935874487347219368655028451938078321981019121638362581243040744435733
m: 100000000000000000000000000
deg: 4
c4: 75
c0: 2
skew: 0.40
# Murphy_E = 1.93e-07
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 33140 x 33365
Total sieving time: 0.11 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.11 hours.
 --------- CPU info (if available) ----------

1799459889373982087242725137174622750858720635039448811912850212223187992113840698317001533<91>

905212056499932976593967180838471015122854991<45>
1987887673891267180935343615787795211899818163<46>

N=1799459889373982087242725137174622750858720635039448811912850212223187992113840698317001533
  ( 91 digits)
Divisors found:
p45 factor: 905212056499932976593967180838471015122854991
p46 factor: 1987887673891267180935343615787795211899818163
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.70 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1799459889373982087242725137174622750858720635039448811912850212223187992113840698317001533
skew: 142936.09
c0: -939233577144730435500907
c1: 40915487676834402755
c2: 356244510189059
c3: -2156002023
c4: 8820
Y0: -3779442997616831599000
Y1: 1339084121171
rlim: 1260000
alim: 1260000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.3
alambda: 2.3
type: gnfs
lss: 0
Factor base limits: 1260000/1260000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [630000, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102091 x 102317
Total sieving time: 0.67 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,90,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1260000,1260000,25,25,50,50,2.3,2.3,40000
total time: 0.70 hours.
 --------- CPU info (if available) ----------

1115739363284736685510264802142219577506694436179708420113061588812853317465040166617078250520678369532877119904790241<118>

2853618843504223070502667331782965587<37>
390991027349194578177679048020434970048560663756210123668703152423856788672210043<81>

N=1115739363284736685510264802142219577506694436179708420113061588812853317465040166617078250520678369532877119904790241
  ( 118 digits)
SNFS difficulty: 121 digits.
Divisors found:
p37 factor: 2853618843504223070502667331782965587
p81 factor: 390991027349194578177679048020434970048560663756210123668703152423856788672210043
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.75 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1115739363284736685510264802142219577506694436179708420113061588812853317465040166617078250520678369532877119904790241
m: 1000000000000000000000000000000
deg: 4
c4: 15
c0: 4
skew: 0.72
# Murphy_E = 3.635e-08
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 665001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69099 x 69324
Total sieving time: 0.74 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 0.75 hours.
 --------- CPU info (if available) ----------

98274638041404808433903230143216285181992836696116736642576713837619374202828894420804662253654964821610566698734773<116>

88238426733109352530329406180396009076176247889645582811<56>
1113739690063281787962547871216479845045631030173045423904943<61>

N=98274638041404808433903230143216285181992836696116736642576713837619374202828894420804662253654964821610566698734773
  ( 116 digits)
SNFS difficulty: 123 digits.
Divisors found:
p56 factor: 88238426733109352530329406180396009076176247889645582811
p61 factor: 1113739690063281787962547871216479845045631030173045423904943
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.85 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 98274638041404808433903230143216285181992836696116736642576713837619374202828894420804662253654964821610566698734773
m: 5000000000000000000000000000000
deg: 4
c4: 3
c0: 5
skew: 1.14
# Murphy_E = 3.219e-08
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70376 x 70602
Total sieving time: 0.84 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,123.000,4,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,75000
total time: 0.85 hours.
 --------- CPU info (if available) ----------

144592481006864605176039183825207229281656553877494567445459203632351831736233225913819391<90>

822371997962886236973185496541433<33>
175823692155177302159534398983668457094882500369658367927<57>

fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C122
rho: x^2 + 2, starting 1000 iterations on C122
rho: x^2 + 1, starting 1000 iterations on C122
pm1: starting B1 = 150K, B2 = gmp-ecm default on C122
ecm: 30/30 curves on C122, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C122, B1=11K, B2=gmp-ecm default
ecm: 214/214 curves on C122, B1=50K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 3750K, B2 = gmp-ecm default on C122
ecm: 302/430 curves on C122, B1=250K, B2=gmp-ecm default, ETA: 1.0 min

starting SIQS on c89: 86200003142948613015784490390709395948312142543663211238388932642651781630703740022795193

==== sieving in progress (1 thread):   70528 relations needed ====
====           Press ctrl-c to abort and save state           ====
70370 rels found: 20666 full + 49704 from 829151 partial, (1066.72 rels/sec)

SIQS elapsed time = 806.2795 seconds.
Total factoring time = 974.7030 seconds

***factors found***

P33 = 822371997962886236973185496541433
P57 = 175823692155177302159534398983668457094882500369658367927
P33 = 490263866526422325734760540012559

Yafu 1.34

Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875467<123>

284135252996486008322583251045217857745616082225477<51>
1643579069281357600038832646492396474062790584475345038370950262443305871<73>

N=466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875467
  ( 123 digits)
SNFS difficulty: 125 digits.
Divisors found:
p51 factor: 284135252996486008322583251045217857745616082225477
p73 factor: 1643579069281357600038832646492396474062790584475345038370950262443305871
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.00 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875466998754669987546699875467
m: 10000000000000000000000000000000
deg: 4
c4: 75
c0: 2
skew: 0.40
# Murphy_E = 2.242e-08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 815001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89882 x 90107
Total sieving time: 0.98 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,125.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000
total time: 1.00 hours.
 --------- CPU info (if available) ----------

36625858725623043958080876327623356033521730428313853140509997181605385111717570913059318527853<95>

13157707676485556816507998047040253<35>
2783604836507955084869435829930448978281666207868502923729201<61>

fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C124
rho: x^2 + 2, starting 1000 iterations on C124
rho: x^2 + 1, starting 1000 iterations on C124
pm1: starting B1 = 150K, B2 = gmp-ecm default on C124
ecm: 5/30 curves on C107, B1=2K, B2=gmp-ecm default
ecm: 24/24 curves on C95, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C95, B1=11K, B2=gmp-ecm default
ecm: 214/214 curves on C95, B1=50K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 3750K, B2 = gmp-ecm default on C95
ecm: 337/337 curves on C95, B1=250K, B2=gmp-ecm default, ETA: 0 sec

starting SIQS on c95: 36625858725623043958080876327623356033521730428313853140509997181605385111717570913059318527853

==== sieving in progress (1 thread):   92976 relations needed ====
====           Press ctrl-c to abort and save state           ====
93024 rels found: 24948 full + 68076 from 1224844 partial, (406.75 rels/sec)

failure to equate relation
Q = 523008974275054017772392130314797017338395990830977184383757283028632060590347214050177682240332, RHS = 85048560165814043094768241332583584400518601082387561515414620309293501168193618123283755852
SIQS elapsed time = 3090.8746 seconds.
Total factoring time = 3234.4542 seconds

***factors found***

P61 = 2783604836507955084869435829930448978281666207868502923729201
P35 = 13157707676485556816507998047040253

Yafu 1.34

Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

469781251221166230374829237374056660466527555610990181224509933137901987456764444214122194137<93>

392049659997266185784261942790612936993231149<45>
1198269758031271031515813910330231574896889230813<49>

fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C126
rho: x^2 + 2, starting 1000 iterations on C126
rho: x^2 + 1, starting 1000 iterations on C126
pm1: starting B1 = 150K, B2 = gmp-ecm default on C126
ecm: 0/30 curves on C117, B1=2K, B2=gmp-ecm default
ecm: 0/29 curves on C107, B1=2K, B2=gmp-ecm default
ecm: 28/28 curves on C93, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C93, B1=11K, B2=gmp-ecm default
ecm: 214/214 curves on C93, B1=50K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 3750K, B2 = gmp-ecm default on C93
ecm: 283/283 curves on C93, B1=250K, B2=gmp-ecm default, ETA: 0 sec

starting SIQS on c93: 469781251221166230374829237374056660466527555610990181224509933137901987456764444214122194137

==== sieving in progress (1 thread):   83760 relations needed ====
====           Press ctrl-c to abort and save state           ====
83863 rels found: 22040 full + 61823 from 1080865 partial, (479.97 rels/sec)

failure to equate relation
Q = 91346830778202950193600406253747484593633434977422438787759473641191519078493697129504605392, RHS = 7981542896355323003795695827678401160501546662193423922109098346019962996706920522876112
SIQS elapsed time = 2313.5585 seconds.
Total factoring time = 2449.7730 seconds

***factors found***

P45 = 392049659997266185784261942790612936993231149
P49 = 1198269758031271031515813910330231574896889230813

Yafu 1.34

Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

38366739167867375083780169429566391391281296644363143334761258105740983995340333950236395384491509235999542054601292335011<122>

19775263128739339384538048671356242220572550957500942131<56>
1940137985426302169794127127765545639761353318430582676297690070481<67>

N=38366739167867375083780169429566391391281296644363143334761258105740983995340333950236395384491509235999542054601292335011
  ( 122 digits)
SNFS difficulty: 129 digits.
Divisors found:
p56 factor: 19775263128739339384538048671356242220572550957500942131
p67 factor: 1940137985426302169794127127765545639761353318430582676297690070481
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.35 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 38366739167867375083780169429566391391281296644363143334761258105740983995340333950236395384491509235999542054601292335011
m: 100000000000000000000000000000000
deg: 4
c4: 15
c0: 4
skew: 0.72
# Murphy_E = 1.499e-08
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 1000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 116747 x 116972
Total sieving time: 1.31 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,100000
total time: 1.35 hours.
 --------- CPU info (if available) ----------

16175536059010493957535586958418996669273770180429356720784859772017526633585626062271976752367775616826985953067<113>

227583538576728217030993<24>
1064543898013731325938292663493<31>
66765831410527193405169178122499126098589578508637188371583<59>

N=16175536059010493957535586958418996669273770180429356720784859772017526633585626062271976752367775616826985953067
  ( 113 digits)
SNFS difficulty: 129 digits.
Divisors found:
p24 factor: 227583538576728217030993
p31 factor: 1064543898013731325938292663493
p59 factor: 66765831410527193405169178122499126098589578508637188371583
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.57 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16175536059010493957535586958418996669273770180429356720784859772017526633585626062271976752367775616826985953067
m: 100000000000000000000000000000000
deg: 4
c4: 75
c0: 2
skew: 0.40
# Murphy_E = 1.435e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 116537 x 116762
Total sieving time: 1.53 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 1.57 hours.
 --------- CPU info (if available) ----------

3930043681704633505971633086633848069457940986267135809877029848247930100601271881626903033364412355818673<106>

186074410653297099300852771975289327321712296370251<51>
21120817569199680134151675080880342078772042161234327923<56>

N=3930043681704633505971633086633848069457940986267135809877029848247930100601271881626903033364412355818673
  ( 106 digits)
SNFS difficulty: 131 digits.
Divisors found:
p51 factor: 186074410653297099300852771975289327321712296370251
p56 factor: 21120817569199680134151675080880342078772042161234327923
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.62 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3930043681704633505971633086633848069457940986267135809877029848247930100601271881626903033364412355818673
m: 500000000000000000000000000000000
deg: 4
c4: 3
c0: 5
skew: 1.14
# Murphy_E = 1.32e-08
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 1040001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 140927 x 141152
Total sieving time: 1.57 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,100000
total time: 1.62 hours.
 --------- CPU info (if available) ----------

823790181739097960734864777587634799533405241062974915039772589974363649544279271461931008121472805038520428898120220643962277<126>

9702759202026474093491626052212557968202089576757963304569943<61>
84902671970571514906634391048516077647743263306570754090471741539<65>

N=823790181739097960734864777587634799533405241062974915039772589974363649544279271461931008121472805038520428898120220643962277
  ( 126 digits)
SNFS difficulty: 132 digits.
Divisors found:
p61 factor: 9702759202026474093491626052212557968202089576757963304569943
p65 factor: 84902671970571514906634391048516077647743263306570754090471741539
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.98 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 823790181739097960734864777587634799533405241062974915039772589974363649544279271461931008121472805038520428898120220643962277
m: 1000000000000000000000000000000000
deg: 4
c4: 3
c0: 8
skew: 1.28
# Murphy_E = 1.182e-08
type: snfs
lss: 1
rlim: 1130000
alim: 1130000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1130000/1130000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [565000, 1165001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 122749 x 122974
Total sieving time: 1.95 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1130000,1130000,26,26,47,47,2.3,2.3,100000
total time: 1.98 hours.
 --------- CPU info (if available) ----------

13760833094371226933411508327678166553996346330284301308244598272488096540231904841680600219553924290133537<107>

84306560221239296221609<23>
19776791446392592095613007589521539814089<41>
8253297944829088686550282283462118824993137<43>

N=13760833094371226933411508327678166553996346330284301308244598272488096540231904841680600219553924290133537
  ( 107 digits)
SNFS difficulty: 133 digits.
Divisors found:
p23 factor: 84306560221239296221609
p41 factor: 19776791446392592095613007589521539814089
p43 factor: 8253297944829088686550282283462118824993137
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.28 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13760833094371226933411508327678166553996346330284301308244598272488096540231904841680600219553924290133537
m: 1000000000000000000000000000000000
deg: 4
c4: 75
c0: 2
skew: 0.40
# Murphy_E = 9.142e-09
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 148680 x 148906
Total sieving time: 2.23 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 2.28 hours.
 --------- CPU info (if available) ----------

59616086478214678648959589376812489637141459474493923026982935910363382505000815698939929203689411419<101>

14730309322101473228729377284559010375020318429<47>
4047171391626259231695318353290876920014689733404220311<55>

N=59616086478214678648959589376812489637141459474493923026982935910363382505000815698939929203689411419
  ( 101 digits)
SNFS difficulty: 135 digits.
Divisors found:
p47 factor: 14730309322101473228729377284559010375020318429
p55 factor: 4047171391626259231695318353290876920014689733404220311
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.42 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 59616086478214678648959589376812489637141459474493923026982935910363382505000815698939929203689411419
m: 5000000000000000000000000000000000
deg: 4
c4: 3
c0: 5
skew: 1.14
# Murphy_E = 8.387e-09
type: snfs
lss: 1
rlim: 1260000
alim: 1260000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1260000/1260000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [630000, 1430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 158184 x 158410
Total sieving time: 2.35 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,135.000,4,0,0,0,0,0,0,0,0,1260000,1260000,26,26,47,47,2.3,2.3,100000
total time: 2.42 hours.
 --------- CPU info (if available) ----------

30991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446281<134>

220609395174331679210851035300435310644456147419<48>
140482392024598731814765799775420357735989543813476002080901137040469581024344131872299<87>

N=30991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446281
  ( 134 digits)
SNFS difficulty: 136 digits.
Divisors found:
p48 factor: 220609395174331679210851035300435310644456147419
p87 factor: 140482392024598731814765799775420357735989543813476002080901137040469581024344131872299
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.55 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 30991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446281
m: 10000000000000000000000000000000000
deg: 4
c4: 3
c0: 8
skew: 1.28
# Murphy_E = 7.501e-09
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [660000, 1460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168081 x 168306
Total sieving time: 2.51 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,136.000,4,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,100000
total time: 2.55 hours.
 --------- CPU info (if available) ----------

1190937703658331027122427844249982197437401259077398477521764563662680719294032987550012193556385679479568161<109>

53393961959044252243063421867699<32>
22304726226756459246328136616219487992123675255612068161066843832010783442139<77>

N=1190937703658331027122427844249982197437401259077398477521764563662680719294032987550012193556385679479568161
  ( 109 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=53393961959044252243063421867699 (pp32)
 r2=22304726226756459246328136616219487992123675255612068161066843832010783442139 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.79 hours.
Scaled time: 29.56 units (timescale=7.800).
Factorization parameters were as follows:
n: 1190937703658331027122427844249982197437401259077398477521764563662680719294032987550012193556385679479568161
m: 10000000000000000000000000000000000
deg: 4
c4: 75
c0: 2
skew: 0.40
# Murphy_E = 5.796e-09
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 220630 x 220855
Total sieving time: 3.75 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,100000
total time: 3.79 hours.

GNFS, Msieve

723112347186215089135528417100552090855731420685923000890513061148459637431259668777663462307429825605930748299269<114>

30079409859139769528446716518383129936399<41>
24040110845675185896898337180502255712883073466412948993966623249244969131<74>

723112347186215089135528417100552090855731420685923000890513061148459637431259668777663462307429825605930748299269=30079409859139769528446716518383129936399*24040110845675185896898337180502255712883073466412948993966623249244969131

cado polynomial
n: 723112347186215089135528417100552090855731420685923000890513061148459637431259668777663462307429825605930748299269
skew: 0.77
type: snfs
c0: 4
c5: 15
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 15*x^5+4
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1580000
tasks.lim1 = 1580000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 24040110845675185896898337180502255712883073466412948993966623249244969131 30079409859139769528446716518383129936399
Info:Square Root: Total cpu/real time for sqrt: 34.98/26.9798
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.47/73.1763
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6079177
Info:Lattice Sieving: Average J: 1892.13 for 49546 special-q, max bucket fill -bkmult 1.0,1s:1.222640
Info:Lattice Sieving: Total time: 10797.5s
Info:Linear Algebra: Total cpu/real time for bwc: 340.38/287.43
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 143.68, WCT time 144.31, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4096 iterations)
Info:Linear Algebra: Lingen CPU time 109.73, WCT time 92.21
Info:Linear Algebra: Mksol: CPU time 78.54,  WCT time 42.91, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2048 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 29.9/21.558
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.52/38.6564
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 38.4s
Info:Filtering - Merging: Merged matrix has 128915 rows and total weight 21918300 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 31.12/24.7216
Info:Filtering - Merging: Total cpu/real time for replay: 4.2/4.48628
Info:Generate Factor Base: Total cpu/real time for makefb: 0.7/0.850847
Info:Quadratic Characters: Total cpu/real time for characters: 4.18/3.62783
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.71/76.8733
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.9s
Info:Square Root: Total cpu/real time for sqrt: 34.98/26.9798
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10582.9/6186.9
Info:root: Cleaning up computation data in /tmp/cado.2m9l4rqr
24040110845675185896898337180502255712883073466412948993966623249244969131 30079409859139769528446716518383129936399

cado-nfs-3.0.0

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

68236164513066602907023890133512008620506469486648932661561454158927119059173883710061934294935710939<101>

224665968159255399692761021837452314713<39>
303722744802617883753985043996508533551471486858343177786603603<63>

68236164513066602907023890133512008620506469486648932661561454158927119059173883710061934294935710939=224665968159255399692761021837452314713*303722744802617883753985043996508533551471486858343177786603603

cado polynomial
n: 68236164513066602907023890133512008620506469486648932661561454158927119059173883710061934294935710939
skew: 79899.729
c0: -26875256713516405793541825
c1: -248331050315407610968
c2: -1263173457377249
c3: -62637358518
c4: 879840
Y0: -527722187171265675028582
Y1: 179378952453209
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.363e-06
# f(x) = 879840*x^4-62637358518*x^3-1263173457377249*x^2-248331050315407610968*x-26875256713516405793541825
# g(x) = 179378952453209*x-527722187171265675028582

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 303722744802617883753985043996508533551471486858343177786603603 224665968159255399692761021837452314713
Info:Square Root: Total cpu/real time for sqrt: 47.79/36.361
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 27.45/45.2482
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.0s
Info:Square Root: Total cpu/real time for sqrt: 47.79/36.361
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.55/29.02
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2467114
Info:Lattice Sieving: Average J: 957.199 for 118942 special-q, max bucket fill -bkmult 1.0,1s:1.329770
Info:Lattice Sieving: Total time: 8374.81s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.75/0.620008
Info:Generate Free Relations: Total cpu/real time for freerel: 24.3/15.7684
Info:Linear Algebra: Total cpu/real time for bwc: 633.06/544.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 340.21, WCT time 331.05, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 84.69, WCT time 60.47
Info:Linear Algebra: Mksol: CPU time 189.33,  WCT time 136.2, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3328 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.54/16.3848
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 15.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 61.51
Info:Polynomial Selection (root optimized): Rootsieve time: 61.13
Info:Filtering - Merging: Merged matrix has 211439 rows and total weight 36102256 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.78/36.5406
Info:Filtering - Merging: Total cpu/real time for replay: 7.93/8.75084
Info:Quadratic Characters: Total cpu/real time for characters: 7.18/5.82164
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5876/33.360/38.498/39.320/0.691
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3414/33.290/37.002/39.310/1.004
Info:Polynomial Selection (size optimized): Total time: 105.27
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8282.29/5033.78
Info:root: Cleaning up computation data in /tmp/cado.40j2l6_0
303722744802617883753985043996508533551471486858343177786603603 224665968159255399692761021837452314713

cado-nfs-3.0.0

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

840950548787773567674834886874087725793541531204321772077883170780270982948848586313979245442596902286522491<108>

113817707364469273241034443<27>
137076108296301648726628960547966311<36>
53901252753292877977328558634125086899500704967<47>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=10000, B2=1873422, polynomial x^1, sigma=1:3264855362
Step 1 took 39ms
Step 2 took 41ms
********** Factor found in step 2: 113817707364469273241034443
Found prime factor of 27 digits: 113817707364469273241034443
Composite cofactor 7388573959716701956482539486519432587674881653021102008266429966311873362666366737 has 82 digits

7388573959716701956482539486519432587674881653021102008266429966311873362666366737 = 137076108296301648726628960547966311 * 53901252753292877977328558634125086899500704967
Time elapsed: 0d 0h 22m 32.7s

Modular multiplications:

    ECM: 78622512
    Probable prime checking: 1365
    SIQS: 142527
    Sum of squares: 2845

SIQS:

    792242 polynomials sieved
    411663 sets of trial divisions
    16527 smooth congruences found (1 out of every 3982541 values)
    177660 partial congruences found (1 out of every 370479 values)
    16641 useful partial congruences
    Size of binary matrix: 30404 × 29548

Timings:

    Probable prime test of 3 numbers: 0d 0h 0m 0.0s
    Factoring 1 number using ECM: 0d 0h 0m 34.1s
    Factoring 1 number using SIQS: 0d 0h 21m 58.6s 

GMP-ECM 7.0.4 for P27
Dario Alpern's calculator for P36 × P47

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

19406137618094158381270087116589913692144620696353882906780451079001714530643400119605995642341965666331939248390906682490434751923<131>

19541039554182449173772225455196469631<38>
993096481089747491169688984187378134965812922334112251865963024012568912477799551965992861133<93>

19406137618094158381270087116589913692144620696353882906780451079001714530643400119605995642341965666331939248390906682490434751923=19541039554182449173772225455196469631*993096481089747491169688984187378134965812922334112251865963024012568912477799551965992861133

cado polynomial
n: 19406137618094158381270087116589913692144620696353882906780451079001714530643400119605995642341965666331939248390906682490434751923
skew: 0.48
type: snfs
c0: 2
c5: 75
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 75*x^5+2
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1960000
tasks.lim1 = 1960000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 993096481089747491169688984187378134965812922334112251865963024012568912477799551965992861133 19541039554182449173772225455196469631
Info:Square Root: Total cpu/real time for sqrt: 33.99/11.0839
Info:Filtering - Singleton removal: Total cpu/real time for purge: 40.09/37.4262
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6059496
Info:Lattice Sieving: Average J: 1892.55 for 70462 special-q, max bucket fill -bkmult 1.0,1s:1.269780
Info:Lattice Sieving: Total time: 7405.42s
Info:Generate Free Relations: Total cpu/real time for freerel: 29.81/9.71811
Info:Linear Algebra: Total cpu/real time for bwc: 532.96/138.81
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 317.74, WCT time 81.35, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6016 iterations)
Info:Linear Algebra: Lingen CPU time 24.61, WCT time 6.3
Info:Linear Algebra: Mksol: CPU time 173.66,  WCT time 44.59, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.09/22.0032
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.37/51.1235
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.3s
Info:Filtering - Merging: Merged matrix has 190594 rows and total weight 32453785 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 38/10.66
Info:Filtering - Merging: Total cpu/real time for replay: 5.95/4.96248
Info:Generate Factor Base: Total cpu/real time for makefb: 0.88/0.488802
Info:Quadratic Characters: Total cpu/real time for characters: 6.18/2.41586
Info:Square Root: Total cpu/real time for sqrt: 33.99/11.0839
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14133.4/4152.29
Info:root: Cleaning up computation data in /tmp/cado.45hd6vsr
993096481089747491169688984187378134965812922334112251865963024012568912477799551965992861133 19541039554182449173772225455196469631

cado-nfs-3.0.0

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

1629434251415194632850084782978332929755581881768768485266419525646389115078964344489530841959958459965844716539820398630115327553<130>

692586802545646792519286162566760262053360572167061<51>
2352678747885615961012794656410175866232183098941803571185792660173712480466173<79>

Number: 30008_149
N = 1629434251415194632850084782978332929755581881768768485266419525646389115078964344489530841959958459965844716539820398630115327553 (130 digits)
SNFS difficulty: 150 digits.
Divisors found:
r1=692586802545646792519286162566760262053360572167061 (pp51)
r2=2352678747885615961012794656410175866232183098941803571185792660173712480466173 (pp79)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 5.78 hours.
Factorization parameters were as follows:
n: 1629434251415194632850084782978332929755581881768768485266419525646389115078964344489530841959958459965844716539820398630115327553
m: 500000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 2.401e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 5660786
Relations: 344632 relations
Pruned matrix : 236021 x 236246
Polynomial selection time: 0.00 hours.
Total sieving time: 5.72 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 5.78 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

1449086455735211782654910078894654343112957268715421571458649930705261321845848808970741863737369424829641601173964966912406547772876947339<139>

262160429055030156163645355444444258670070526216087307402323<60>
5527479722849529325095502234055333631418012064937976933413030615673199804713193<79>

Number: n
N=1449086455735211782654910078894654343112957268715421571458649930705261321845848808970741863737369424829641601173964966912406547772876947339  ( 139 digits)
SNFS difficulty: 151 digits.
Divisors found:

Tue Jun 14 00:38:44 2022  p60 factor: 262160429055030156163645355444444258670070526216087307402323
Tue Jun 14 00:38:44 2022  p79 factor: 5527479722849529325095502234055333631418012064937976933413030615673199804713193
Tue Jun 14 00:38:44 2022  elapsed time 00:05:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 3x10^151+8 = 30(150)8
#
n: 1449086455735211782654910078894654343112957268715421571458649930705261321845848808970741863737369424829641601173964966912406547772876947339
m: 1000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 1.922e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1101789 hash collisions in 14250135 relations (14124690 unique)
Msieve: matrix is 455022 x 455265 (59.2 MB)

Sieving start time : 2022/06/14 00:06:52
Sieving end time  : 2022/06/14 00:33:09

Total sieving time: 0hrs 26min 17secs.

Total relation processing time: 0hrs 1min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 36sec.

Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

13409908162444561724529200205171351719067115390577491676291294194549026392143206842074404427798709310779153820254318129453295038325551321235126769<146>

445461630812006439155933267776288302972596455923221<51>
30103396644959993093808254384533977987809270772841727089112439210882503688903860247879646478189<95>

Number: n
N=13409908162444561724529200205171351719067115390577491676291294194549026392143206842074404427798709310779153820254318129453295038325551321235126769  ( 146 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon Jun 13 05:10:23 2022  p51 factor: 445461630812006439155933267776288302972596455923221
Mon Jun 13 05:10:23 2022  p95 factor: 30103396644959993093808254384533977987809270772841727089112439210882503688903860247879646478189
Mon Jun 13 05:10:23 2022  elapsed time 00:05:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 3x10^156+8 = 30(155)8
#
n: 13409908162444561724529200205171351719067115390577491676291294194549026392143206842074404427798709310779153820254318129453295038325551321235126769
m: 10000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 1.237e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1119426 hash collisions in 14071447 relations (13909931 unique)
Msieve: matrix is 348373 x 348600 (117.3 MB)

Sieving start time : 2022/06/13 04:36:09
Sieving end time  : 2022/06/13 05:04:41

Total sieving time: 0hrs 28min 32secs.

Total relation processing time: 0hrs 2min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 14sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

28210112517862279476947801029987484411157199427871145296402347838341657936604001244406671601243159519566480507<110>

125955530728241513209649059<27>
223968827369142757938874264371835867545471672534081214680972912711858380365358828873<84>

28210112517862279476947801029987484411157199427871145296402347838341657936604001244406671601243159519566480507=125955530728241513209649059*223968827369142757938874264371835867545471672534081214680972912711858380365358828873

cado polynomial
n: 28210112517862279476947801029987484411157199427871145296402347838341657936604001244406671601243159519566480507
skew: 60776.152
c0: 24163790353212845159758332
c1: 10003036111214009263449
c2: 132493958540513364
c3: -5383567077401
c4: 16230392
c5: 240
Y0: -3423200056603133568040
Y1: 10754585576639
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.822e-06
# f(x) = 240*x^5+16230392*x^4-5383567077401*x^3+132493958540513364*x^2+10003036111214009263449*x+24163790353212845159758332
# g(x) = 10754585576639*x-3423200056603133568040

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

cado log (extracts)
Info:Square Root: Factors: 125955530728241513209649059 223968827369142757938874264371835867545471672534081214680972912711858380365358828873
Info:Square Root: Total cpu/real time for sqrt: 75.71/29.5107
Info:Filtering - Singleton removal: Total cpu/real time for purge: 61.79/76.4271
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5149340
Info:Lattice Sieving: Average J: 1919.08 for 78784 special-q, max bucket fill -bkmult 1.0,1s:1.351770
Info:Lattice Sieving: Total time: 10433.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.29/1.12253
Info:Linear Algebra: Total cpu/real time for bwc: 7004.53/2498.44
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 640.39, WCT time 278.86, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (9216 iterations)
Info:Linear Algebra: Lingen CPU time 5984.64, WCT time 2057.37
Info:Linear Algebra: Mksol: CPU time 356.26,  WCT time 149.99, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4608 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.23/22.3833
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.71/25.5742
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.499999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 250.59
Info:Polynomial Selection (root optimized): Rootsieve time: 249.6
Info:Filtering - Merging: Merged matrix has 291345 rows and total weight 45305720 (155.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.9/18.2722
Info:Filtering - Merging: Total cpu/real time for replay: 9.74/8.06171
Info:Quadratic Characters: Total cpu/real time for characters: 11/5.46322
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11870/32.030/38.846/43.920/1.080
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9174/31.210/34.434/39.270/0.865
Info:Polynomial Selection (size optimized): Total time: 704.69
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 84.51/114.022
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 83.0s
Info:Square Root: Total cpu/real time for sqrt: 75.71/29.5107
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22220.5/8300.41
Info:root: Cleaning up computation data in /tmp/cado.ptcfeouc
125955530728241513209649059 223968827369142757938874264371835867545471672534081214680972912711858380365358828873

cado-nfs-3.0.0

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

34017613262599004115886721136082384480600167310282814332586571003354043578139506495781088307886317920877319<107>

6362028377253172910641<22>
5346976034282673654625810740294539745929114981243422967196868177284293775610245669559<85>

34017613262599004115886721136082384480600167310282814332586571003354043578139506495781088307886317920877319=6362028377253172910641*5346976034282673654625810740294539745929114981243422967196868177284293775610245669559

cado polynomial
n: 34017613262599004115886721136082384480600167310282814332586571003354043578139506495781088307886317920877319
skew: 13461.99
c0: -172561114831247773742475
c1: -900903706142274328375
c2: 158848949436249441
c3: 10169882389393
c4: -258596208
c5: 6660
Y0: -433773701187644601598
Y1: 24857529107911
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.758e-06
# f(x) = 6660*x^5-258596208*x^4+10169882389393*x^3+158848949436249441*x^2-900903706142274328375*x-172561114831247773742475
# g(x) = 24857529107911*x-433773701187644601598

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

cado log (extracts)
Info:Square Root: Factors: 5346976034282673654625810740294539745929114981243422967196868177284293775610245669559 6362028377253172910641
Info:Square Root: Total cpu/real time for sqrt: 66.38/48.7014
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 76.31/121.025
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.20000000000002s
Info:Square Root: Total cpu/real time for sqrt: 66.38/48.7014
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.06/81.7502
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5199346
Info:Lattice Sieving: Average J: 1892.7 for 68485 special-q, max bucket fill -bkmult 1.0,1s:1.288660
Info:Lattice Sieving: Total time: 12099.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/1.1684
Info:Linear Algebra: Total cpu/real time for bwc: 995.37/870.56
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 429.36, WCT time 357.94, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7680 iterations)
Info:Linear Algebra: Lingen CPU time 309.08, WCT time 265.77
Info:Linear Algebra: Mksol: CPU time 237.81,  WCT time 229.07, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3840 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.32/40.3735
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.94/38.6045
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 37.300000000000004s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 175.72
Info:Polynomial Selection (root optimized): Rootsieve time: 175.09
Info:Filtering - Merging: Merged matrix has 242014 rows and total weight 35101605 (145.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 33.56/26.1137
Info:Filtering - Merging: Total cpu/real time for replay: 8.38/9.2898
Info:Quadratic Characters: Total cpu/real time for characters: 9.15/7.47102
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10021/31.420/37.782/43.440/1.107
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7774/29.680/33.472/38.230/0.879
Info:Polynomial Selection (size optimized): Total time: 496.35
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13017/7580.22
Info:root: Cleaning up computation data in /tmp/cado.l2xktud3
5346976034282673654625810740294539745929114981243422967196868177284293775610245669559 6362028377253172910641

cado-nfs-3.0.0

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

682285002272470961338967220191689117282400402790800167278617387764520080157535535954626546620348988442295244171327970752678928765374239187671093<144>

226792183789637004266658736169422417608261197065426961633<57>
3008414976529041883606826663489900277166136731905056743987290084324001524746204770609621<88>

Number: n
N=682285002272470961338967220191689117282400402790800167278617387764520080157535535954626546620348988442295244171327970752678928765374239187671093  ( 144 digits)
SNFS difficulty: 159 digits.
Divisors found:

Mon Jun 13 07:47:15 2022  p57 factor: 226792183789637004266658736169422417608261197065426961633
Mon Jun 13 07:47:15 2022  p88 factor: 3008414976529041883606826663489900277166136731905056743987290084324001524746204770609621
Mon Jun 13 07:47:15 2022  elapsed time 00:05:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 3x10^159+8 = 30(158)8
#
n: 682285002272470961338967220191689117282400402790800167278617387764520080157535535954626546620348988442295244171327970752678928765374239187671093
m: 50000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 9.935e-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
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 997326 hash collisions in 12727757 relations (12573759 unique)
Msieve: matrix is 395875 x 396110 (133.6 MB)

Sieving start time : 2022/06/13 07:08:08
Sieving end time  : 2022/06/13 07:41:14

Total sieving time: 0hrs 33min 6secs.

Total relation processing time: 0hrs 2min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 17sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

6116090346298994238584479889897682207200562784733920857713375894611588155807356842553530523059135121408582274455051<115>

31054908366938869534795370316369963823<38>
196944401639587473250526217054088707662112501781428087669082379872637363723237<78>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6116090346298994238584479889897682207200562784733920857713375894611588155807356842553530523059135121408582274455051 (115 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3465225763
Step 1 took 1821ms
Step 2 took 1406ms
********** Factor found in step 2: 31054908366938869534795370316369963823
Found prime factor of 38 digits: 31054908366938869534795370316369963823
Prime cofactor 196944401639587473250526217054088707662112501781428087669082379872637363723237 has 78 digits

GMP-ECM 7.0.4

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

16466629574181152148486867734030281271200319736031251524765188830759404706733827390362041690443969512288771857978464512380723156339605820136155037<146>

17312758161330284475417238769889421528578271523<47>
527079214077288846527506262946042115867544906953<48>
1804523589578875024000376273739531432696144730343623<52>

Number: n
N=16466629574181152148486867734030281271200319736031251524765188830759404706733827390362041690443969512288771857978464512380723156339605820136155037  ( 146 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sun Jun 19 18:18:04 2022  found factor: 527079214077288846527506262946042115867544906953
Sun Jun 19 18:18:29 2022  p47 factor: 17312758161330284475417238769889421528578271523
Sun Jun 19 18:18:29 2022  p48 factor: 527079214077288846527506262946042115867544906953
Sun Jun 19 18:18:29 2022  p52 factor: 1804523589578875024000376273739531432696144730343623
Sun Jun 19 18:18:29 2022  elapsed time 00:07:03 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 3x10^162+8 = 30(161)8
#
n: 16466629574181152148486867734030281271200319736031251524765188830759404706733827390362041690443969512288771857978464512380723156339605820136155037
m: 100000000000000000000000000000000
deg: 5
c5: 75
c0: 2
skew: 0.48
# Murphy_E = 6.56e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1006072 hash collisions in 12776195 relations (12619974 unique)
Msieve: matrix is 452292 x 452519 (153.9 MB)

Sieving start time : 2022/06/19 17:33:58
Sieving end time  : 2022/06/19 18:11:12

Total sieving time: 0hrs 37min 14secs.

Total relation processing time: 0hrs 3min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 50sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

101148423520604981235347189017033861287075289749222994700840460456769136150017542869340783616948434571980020872315235430029063<126>

5092002524242919041829357<25>
147784509307210207484700956694992032487795627419<48>
134413098974414139538311694221966954069208871109181561<54>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 101148423520604981235347189017033861287075289749222994700840460456769136150017542869340783616948434571980020872315235430029063 (126 digits)
Using B1=100000, B2=40868532, polynomial x^2, sigma=1:3334814537
Step 1 took 284ms
Step 2 took 204ms
********** Factor found in step 2: 5092002524242919041829357
Found prime factor of 25 digits: 5092002524242919041829357
Composite cofactor 19864173876395273198918293596080329157143154552262167682403406262093599371342599367985873999580821059 has 101 digits

cado polynomial
n: 19864173876395273198918293596080329157143154552262167682403406262093599371342599367985873999580821059
skew: 355444.807
c0: -331156764370625917088327068
c1: 478022858842479588025
c2: 18064674499291929
c3: -4550104106
c4: -30000
Y0: -1072740104812432996036598
Y1: 19222201751987
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.360e-06
# f(x) = -30000*x^4-4550104106*x^3+18064674499291929*x^2+478022858842479588025*x-331156764370625917088327068
# g(x) = 19222201751987*x-1072740104812432996036598

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 147784509307210207484700956694992032487795627419 134413098974414139538311694221966954069208871109181561
Info:Square Root: Total cpu/real time for sqrt: 446.1/53.718
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5974/33.480/38.298/39.120/0.676
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3457/33.210/36.768/39.090/0.965
Info:Polynomial Selection (size optimized): Total time: 109.33
Info:Generate Factor Base: Total cpu/real time for makefb: 1.02/0.159312
Info:Generate Free Relations: Total cpu/real time for freerel: 28.38/3.623
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 57.08/53.3388
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 43.800000000000004s
Info:Quadratic Characters: Total cpu/real time for characters: 7.95/2.25254
Info:Square Root: Total cpu/real time for sqrt: 446.1/53.718
Info:Linear Algebra: Total cpu/real time for bwc: 32906.3/3848.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 921.06, WCT time 193.32, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (6400 iterations)
Info:Linear Algebra: Lingen CPU time 31637.42, WCT time 3568.14
Info:Linear Algebra: Mksol: CPU time 316.21,  WCT time 77.98, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3200 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2449610
Info:Lattice Sieving: Average J: 1005.83 for 105233 special-q, max bucket fill -bkmult 1.0,1s:1.318470
Info:Lattice Sieving: Total time: 11142.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 32.36/35.6206
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25/24.1782
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 77.14
Info:Polynomial Selection (root optimized): Rootsieve time: 76.74
Info:Filtering - Merging: Merged matrix has 202496 rows and total weight 34557397 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 114.22/16.0309
Info:Filtering - Merging: Total cpu/real time for replay: 8.83/6.98134
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 50348.5/5976.39
Info:root: Cleaning up computation data in /tmp/cado.2zaylysh
147784509307210207484700956694992032487795627419 134413098974414139538311694221966954069208871109181561

GMP-ECM 7.0.4 for P25
cado-nfs-3.0.0 for P48 × P54

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

122836759741334557529604303864342049527659488839823401295958731217489212481664260086229694695369437404492336859672241138857926608939897<135>

50824842722988705871<20>
22452661314736664956013<23>
107642675338474025652323936969710310149547568012339551308774401257332913118307516744752729139<93>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 122836759741334557529604303864342049527659488839823401295958731217489212481664260086229694695369437404492336859672241138857926608939897 (135 digits)
Using B1=10000, B2=1873422, polynomial x^1, sigma=1:214607098
Step 1 took 45ms
Step 2 took 49ms
********** Factor found in step 2: 50824842722988705871
Found prime factor of 20 digits: 50824842722988705871
Composite cofactor 2416864532386914198251115881789701317140706865053109164944298309270130108073519848706311971522926358805743138362807 has 115 digits

Using B1=10000, B2=1873422, polynomial x^1, sigma=1:2949939505
Step 1 took 38ms
Step 2 took 42ms
********** Factor found in step 2: 22452661314736664956013
Found prime factor of 23 digits: 22452661314736664956013
Prime cofactor 107642675338474025652323936969710310149547568012339551308774401257332913118307516744752729139 has 93 digits

GMP-ECM 7.0.4

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

25462940746026356627720099091019813052953901023632204116734103182891897336226309066039056189227208146049868926487594618591656356694385194372153901<146>

19031178792954650087474042143096921576615374845021<50>
1337959199639948070787223533231243315698098204581680985108232885971708810035670651478577128843281<97>

Number: n
N=25462940746026356627720099091019813052953901023632204116734103182891897336226309066039056189227208146049868926487594618591656356694385194372153901  ( 146 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sun Jun 19 16:34:11 2022  p50 factor: 19031178792954650087474042143096921576615374845021
Sun Jun 19 16:34:11 2022  p97 factor: 1337959199639948070787223533231243315698098204581680985108232885971708810035670651478577128843281
Sun Jun 19 16:34:11 2022  elapsed time 00:07:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 3x10^166+8 = 30(165)8
#
n: 25462940746026356627720099091019813052953901023632204116734103182891897336226309066039056189227208146049868926487594618591656356694385194372153901
m: 1000000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 5.053e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1158901 hash collisions in 13372912 relations (13089213 unique)
Msieve: matrix is 494938 x 495163 (170.9 MB)

Sieving start time : 2022/06/19 15:45:42
Sieving end time  : 2022/06/19 16:26:02

Total sieving time: 0hrs 40min 20secs.

Total relation processing time: 0hrs 3min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

3369048327307102160480013349610393172820116975673680034047084748520389870333633549440998298586823274714327190516858010475878106481<130>

14707613437197613656174233402783834272624020868942469928874969<62>
229068321770431307801121851922311143322078098109631569549040210057049<69>

3369048327307102160480013349610393172820116975673680034047084748520389870333633549440998298586823274714327190516858010475878106481=14707613437197613656174233402783834272624020868942469928874969*229068321770431307801121851922311143322078098109631569549040210057049

cado polynomial
n: 3369048327307102160480013349610393172820116975673680034047084748520389870333633549440998298586823274714327190516858010475878106481
skew: 0.31
type: snfs
c0: 1
c5: 375
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 375*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: 229068321770431307801121851922311143322078098109631569549040210057049 14707613437197613656174233402783834272624020868942469928874969
Info:Square Root: Total cpu/real time for sqrt: 174.29/54.0131
Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.15/70.2695
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11700240
Info:Lattice Sieving: Average J: 1892.96 for 302118 special-q, max bucket fill -bkmult 1.0,1s:1.242420
Info:Lattice Sieving: Total time: 39530.6s
Info:Linear Algebra: Total cpu/real time for bwc: 3632.01/935.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2271.81, WCT time 580.88, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Linear Algebra: Lingen CPU time 78.78, WCT time 20.12
Info:Linear Algebra: Mksol: CPU time 1234.81,  WCT time 315.21, 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: 59.57/16.828
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.47/49.8044
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.7s
Info:Filtering - Merging: Merged matrix has 495635 rows and total weight 84371359 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 104.27/29.312
Info:Filtering - Merging: Total cpu/real time for replay: 16.25/13.6205
Info:Generate Factor Base: Total cpu/real time for makefb: 1.86/1.02377
Info:Quadratic Characters: Total cpu/real time for characters: 16.15/6.35525
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.09/90.0712
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 81.2s
Info:Square Root: Total cpu/real time for sqrt: 174.29/54.0131
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 77092.3/21113.8
Info:root: Cleaning up computation data in /tmp/cado.oe8bsoq7
229068321770431307801121851922311143322078098109631569549040210057049 14707613437197613656174233402783834272624020868942469928874969

cado-nfs-3.0.0

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

51515633345804755054480079364601214784373733323904980636325553839924204858020141679496739917878490712933379028712686049360230605632101823571889619052029973<155>

137126308721011275812407783<27>
375680158142485138116310648932393238021334064782868083936117671976618426743666489634548187091339293944036766183326282822279648931<129>

Number: n
N=51515633345804755054480079364601214784373733323904980636325553839924204858020141679496739917878490712933379028712686049360230605632101823571889619052029973  ( 155 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Jun 15 12:21:09 2022  p27 factor: 137126308721011275812407783
Wed Jun 15 12:21:09 2022  p129 factor: 375680158142485138116310648932393238021334064782868083936117671976618426743666489634548187091339293944036766183326282822279648931
Wed Jun 15 12:21:09 2022  elapsed time 00:10:43 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
#
# N = 3x10^170+8 = 30(169)8
#
n: 51515633345804755054480079364601214784373733323904980636325553839924204858020141679496739917878490712933379028712686049360230605632101823571889619052029973
m: 10000000000000000000000000000000000
deg: 5
c5: 3
c0: 8
skew: 1.22
# Murphy_E = 3.405e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1003798 hash collisions in 12214684 relations (12007181 unique)
Msieve: matrix is 667561 x 667786 (230.7 MB)

Sieving start time : 2022/06/15 11:19:57
Sieving end time  : 2022/06/15 12:10:12

Total sieving time: 0hrs 50min 15secs.

Total relation processing time: 0hrs 6min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 15sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

57035002851027100076551679658462836957557925874328502616844058922128459823654804579238719354616621461667038459467056611116428549<128>

134563772306771211601706350648337<33>
3370701799020055068892107519566849390731<40>
125745653224893808193547327386348768053444984957080715967<57>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Input number is 57035002851027100076551679658462836957557925874328502616844058922128459823654804579238719354616621461667038459467056611116428549 (128 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1098969113
Step 1 took 1360ms
Step 2 took 914ms
********** Factor found in step 2: 134563772306771211601706350648337
Found prime factor of 33 digits: 134563772306771211601706350648337
Composite cofactor 423851099544101548600259224023681520514742264297791006097178610224028196328612719903283213501877 has 96 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2922902271
Step 1 took 842ms
Step 2 took 670ms
********** Factor found in step 2: 3370701799020055068892107519566849390731
Found prime factor of 40 digits: 3370701799020055068892107519566849390731
Prime cofactor 125745653224893808193547327386348768053444984957080715967 has 57 digits

GMP-ECM 7.0.4

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

3384275285015833970135250851494617082879963042807197861987065337342375613855374968432591684027828943806977846165379581245796108022781415474438438299934794944929<160>

187839374044674088338863870304300342740203583023346278368202429698673879<72>
18016857765991848304970317137713811798126137886753664750064495679195328164729587179834951<89>

Number: n
N=3384275285015833970135250851494617082879963042807197861987065337342375613855374968432591684027828943806977846165379581245796108022781415474438438299934794944929  ( 160 digits)
SNFS difficulty: 172 digits.
Divisors found:

Tue Jun 14 13:48:38 2022  p72 factor: 187839374044674088338863870304300342740203583023346278368202429698673879
Tue Jun 14 13:48:38 2022  p89 factor: 18016857765991848304970317137713811798126137886753664750064495679195328164729587179834951
Tue Jun 14 13:48:38 2022  elapsed time 00:14:56 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 3x10^173+8 = 30(172)8
#
n: 3384275285015833970135250851494617082879963042807197861987065337342375613855374968432591684027828943806977846165379581245796108022781415474438438299934794944929
m: 10000000000000000000000000000000000
deg: 5
c5: 375
c0: 1
skew: 0.31
# Murphy_E = 2.594e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1122031 hash collisions in 11727590 relations (11329982 unique)
Msieve: matrix is 739466 x 739692 (257.5 MB)

Sieving start time : 2022/06/14 12:13:42
Sieving end time  : 2022/06/14 13:33:07

Total sieving time: 1hrs 19min 25secs.

Total relation processing time: 0hrs 8min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 38sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

32067925586969067326952426315762146410696645601952413046054538522896585709038403583678353776624635621129885126310313002017469221038482200207520234743249197492016933<164>

7564432378442199376404378601273800221<37>
163182134859324726107409925649181427570165508890407681669437<60>
25978969000103428520107051343432579421021257820598825392845439537629<68>

Number: n
N=32067925586969067326952426315762146410696645601952413046054538522896585709038403583678353776624635621129885126310313002017469221038482200207520234743249197492016933  ( 164 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Jun 14 14:36:16 2022  found factor: 25978969000103428520107051343432579421021257820598825392845439537629
Tue Jun 14 14:36:53 2022  found factor: 25978969000103428520107051343432579421021257820598825392845439537629
Tue Jun 14 14:38:06 2022  found factor: 25978969000103428520107051343432579421021257820598825392845439537629
Tue Jun 14 14:38:44 2022  p37 factor: 7564432378442199376404378601273800221
Tue Jun 14 14:38:44 2022  p60 factor: 163182134859324726107409925649181427570165508890407681669437
Tue Jun 14 14:38:44 2022  p68 factor: 25978969000103428520107051343432579421021257820598825392845439537629
Tue Jun 14 14:38:44 2022  elapsed time 00:12:49 (Msieve 1.54 - dependency 5)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 3x10^174+8 = 30(173)8
#
n: 32067925586969067326952426315762146410696645601952413046054538522896585709038403583678353776624635621129885126310313002017469221038482200207520234743249197492016933
m: 50000000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 2.549e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 1384005 hash collisions in 13409167 relations (12848855 unique)
Msieve: matrix is 667981 x 668207 (233.5 MB)

Sieving start time : 2022/06/14 13:51:02
Sieving end time  : 2022/06/14 14:25:39

Total sieving time: 0hrs 34min 37secs.

Total relation processing time: 0hrs 6min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 5sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

211760841144360331245747169263281140723332587441440339565716549318768793270307825320579871144317608072524612277731648740439381944737125769535063847380730825049665079<165>

12829229298495593776098974284340282279429056962960337853<56>
16506123338928258607811212888497600507646611292915480323903432382766302940285238211393726670906117870220035843<110>

Number: n
N=211760841144360331245747169263281140723332587441440339565716549318768793270307825320579871144317608072524612277731648740439381944737125769535063847380730825049665079  ( 165 digits)
SNFS difficulty: 175 digits.
Divisors found:

Tue Jun 14 10:31:18 2022  p56 factor: 12829229298495593776098974284340282279429056962960337853
Tue Jun 14 10:31:18 2022  p110 factor: 16506123338928258607811212888497600507646611292915480323903432382766302940285238211393726670906117870220035843
Tue Jun 14 10:31:18 2022  elapsed time 00:13:51 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 3x10^175+8 = 30(174)8
#
n: 211760841144360331245747169263281140723332587441440339565716549318768793270307825320579871144317608072524612277731648740439381944737125769535063847380730825049665079
m: 100000000000000000000000000000000000
deg: 5
c5: 3
c0: 8
skew: 1.22
# Murphy_E = 2.151e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4139829 hash collisions in 30576061 relations (28073540 unique)
Msieve: matrix is 673293 x 673519 (225.4 MB)

Sieving start time : 2022/06/14 09:03:22
Sieving end time  : 2022/06/14 10:16:59

Total sieving time: 1hrs 13min 37secs.

Total relation processing time: 0hrs 6min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

56662614348629715189635971538525705971751248804413005392391407046036278531300304043639964179378232907662573139679525485008795527142061392908127081<146>

3137760119697282112213625384105778253654801<43>
2697153347240469867028079077015009580001281929<46>
6695318331371170734103589654083696701275291330945657185489<58>

Number: n
N=56662614348629715189635971538525705971751248804413005392391407046036278531300304043639964179378232907662573139679525485008795527142061392908127081  ( 146 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Jun 15 17:32:54 2022  found factor: 3137760119697282112213625384105778253654801
Wed Jun 15 17:33:27 2022  p43 factor: 3137760119697282112213625384105778253654801
Wed Jun 15 17:33:27 2022  p46 factor: 2697153347240469867028079077015009580001281929
Wed Jun 15 17:33:27 2022  p58 factor: 6695318331371170734103589654083696701275291330945657185489
Wed Jun 15 17:33:27 2022  elapsed time 00:15:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 3x10^176+8 = 30(175)8
#
n: 56662614348629715189635971538525705971751248804413005392391407046036278531300304043639964179378232907662573139679525485008795527142061392908127081
m: 100000000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 2.024e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3745993 hash collisions in 30769180 relations (28798490 unique)
Msieve: matrix is 701081 x 701308 (239.1 MB)

Sieving start time : 2022/06/15 16:04:46
Sieving end time  : 2022/06/15 17:17:26

Total sieving time: 1hrs 12min 40secs.

Total relation processing time: 0hrs 7min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

340909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909091<177>

46853332144491179049289750091911985620320247111<47>
7276090628042419595165029733396106704318972433097356766246433337431705420580876848023419009766198592198861039297450405932952362181<130>

Number: n
N=340909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909091  ( 177 digits)
SNFS difficulty: 177 digits.
Divisors found:

Fri Jun 17 21:58:42 2022  p47 factor: 46853332144491179049289750091911985620320247111
Fri Jun 17 21:58:42 2022  p130 factor: 7276090628042419595165029733396106704318972433097356766246433337431705420580876848023419009766198592198861039297450405932952362181
Fri Jun 17 21:58:42 2022  elapsed time 00:18:20 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 3x10^178+8 = 30(177)8
#
n: 340909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909091
m: 100000000000000000000000000000000000
deg: 5
c5: 375
c0: 1
skew: 0.31
# Murphy_E = 1.636e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4020663 hash collisions in 30993329 relations (28690246 unique)
Msieve: matrix is 771457 x 771683 (262.6 MB)

Sieving start time : 2022/06/17 20:25:05
Sieving end time  : 2022/06/17 21:39:54

Total sieving time: 1hrs 14min 49secs.

Total relation processing time: 0hrs 9min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

36394587202886721604700433726427225868690270416635529075393085804849311851145167817867898324199100714013274804366962255416242467533601909211518547166899753778486043403699437<173>

1763819250237558136500715834939269525829<40>

20633966432776462208535106037082119219617944126471235769122967284274447735473153874030735308503061426487753746732648260080217749404553<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1250352915
Step 1 took 7171ms
Step 2 took 4110ms
********** Factor found in step 2: 1763819250237558136500715834939269525829
Found prime factor of 40 digits: 1763819250237558136500715834939269525829
Composite cofactor 20633966432776462208535106037082119219617944126471235769122967284274447735473153874030735308503061426487753746732648260080217749404553 has 134 digits
 

GMP-ECM

20633966432776462208535106037082119219617944126471235769122967284274447735473153874030735308503061426487753746732648260080217749404553<134>

73970889211430674297454471395700008849<38>
278947118964576520805670488827065882188393614659232246589332498957320335702574417445846443083897<96>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4193693456
Step 1 took 4875ms
Step 2 took 3172ms
********** Factor found in step 2: 73970889211430674297454471395700008849
Found prime factor of 38 digits: 73970889211430674297454471395700008849
Prime cofactor 278947118964576520805670488827065882188393614659232246589332498957320335702574417445846443083897 has 96 digits

GMP-ECM

10546154805534609518861011546385548281075260658760155059379088844499470467601336862201444111102360919881515491307240035994387275017224649549630799656817827679693431533<167>

2871544661272639809210559521973418035340586749<46>
3672641748452088996871881932987880047280285155505420081603749887974376076457287258961931669281433257792112676078869143217<121>

Number: 30008_180
N = 10546154805534609518861011546385548281075260658760155059379088844499470467601336862201444111102360919881515491307240035994387275017224649549630799656817827679693431533 (167 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=2871544661272639809210559521973418035340586749 (pp46)
r2=3672641748452088996871881932987880047280285155505420081603749887974376076457287258961931669281433257792112676078869143217 (pp121)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.84 hours.
Factorization parameters were as follows:
n: 10546154805534609518861011546385548281075260658760155059379088844499470467601336862201444111102360919881515491307240035994387275017224649549630799656817827679693431533 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 3
c0: 8
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 10000000
maxb: 10000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 16659516
Relations: 4259966 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.43 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 3281416 x 3281664
Matrix solve time: 6.93 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,181,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 8.84 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

197368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579<180>

8943632099155230379340006544684190288137707458639298764860282199075907<70>
22068038897896301861058692253169682225914577647141020308819165898060152340395287081804585367125097392570349897<110>

Number: n
N=197368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579  ( 180 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Jun 17 08:48:39 2022  p70 factor: 8943632099155230379340006544684190288137707458639298764860282199075907
Fri Jun 17 08:48:39 2022  p110 factor: 22068038897896301861058692253169682225914577647141020308819165898060152340395287081804585367125097392570349897
Fri Jun 17 08:48:39 2022  elapsed time 00:16:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 3x10^181+8 = 30(180)8
#
n: 197368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579
m: 1000000000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 1.272e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2812004 hash collisions in 29675947 relations (28780816 unique)
Msieve: matrix is 791389 x 791613 (269.4 MB)

Sieving start time : 2022/06/17 06:21:16
Sieving end time  : 2022/06/17 08:31:12

Total sieving time: 2hrs 9min 56secs.

Total relation processing time: 0hrs 9min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

5229064461770243538206803960413918587571079645899349976303718996091933037114355505183277090378367846005500777465573590998105434711517669<136>

877337540439776482061905579371975200561719<42>
5960151276724245923834787675900410668003071532962231770923185636338530673967649736195212730051<94>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 5229064461770243538206803960413918587571079645899349976303718996091933037114355505183277090378367846005500777465573590998105434711517669 (136 digits)
Using B1=26570000, B2=144285831706, polynomial Dickson(12), sigma=1:1229242808
Step 1 took 49389ms
Step 2 took 19718ms
********** Factor found in step 2: 877337540439776482061905579371975200561719
Found prime factor of 42 digits: 877337540439776482061905579371975200561719
Prime cofactor 5960151276724245923834787675900410668003071532962231770923185636338530673967649736195212730051 has 94 digits

7885124108744178708303788725143234374824700782599123007606548627279770368920299974615713617733114198835679523399661545877445247836331429907276459<145>

637602701973105891377856551584991076088726454519849168489345307511517<69>
12366829821051752024762776755794124433667077051105365919344546810927943071527<77>

7885124108744178708303788725143234374824700782599123007606548627279770368920299974615713617733114198835679523399661545877445247836331429907276459=637602701973105891377856551584991076088726454519849168489345307511517*12366829821051752024762776755794124433667077051105365919344546810927943071527

cado polynomial
n: 7885124108744178708303788725143234374824700782599123007606548627279770368920299974615713617733114198835679523399661545877445247836331429907276459
skew: 0.31
type: snfs
c0: 1
c5: 375
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 375*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: 12366829821051752024762776755794124433667077051105365919344546810927943071527 637602701973105891377856551584991076088726454519849168489345307511517
Info:Square Root: Total cpu/real time for sqrt: 460.64/140.548
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22414978
Info:Lattice Sieving: Average J: 1894.02 for 893525 special-q, max bucket fill -bkmult 1.0,1s:1.166150
Info:Lattice Sieving: Total time: 157202s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.46/30.9151
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.49/102.242
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.12/184.883
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.3s
Info:Filtering - Merging: Merged matrix has 1049017 rows and total weight 178634246 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 256.01/71.274
Info:Filtering - Merging: Total cpu/real time for replay: 36.68/31.1384
Info:Linear Algebra: Total cpu/real time for bwc: 17029.2/4373.04
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10784.45, WCT time 2760.02, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33024 iterations)
Info:Linear Algebra: Lingen CPU time 213.4, WCT time 53.99
Info:Linear Algebra: Mksol: CPU time 5859.08,  WCT time 1495.78, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.28/1.90682
Info:Quadratic Characters: Total cpu/real time for characters: 34.99/13.8637
Info:Square Root: Total cpu/real time for sqrt: 460.64/140.548
Info:Filtering - Singleton removal: Total cpu/real time for purge: 126.93/127.668
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 311744/84078.7
Info:root: Cleaning up computation data in /tmp/cado.v5lonuez
12366829821051752024762776755794124433667077051105365919344546810927943071527 637602701973105891377856551584991076088726454519849168489345307511517

cado-nfs-3.0.0

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

60159255126314892390887237417396111921453438740950443444462398416115993586762232802307213935332813325544427958940514254568660873660804729504208037261161<152>

1519694441775132206152633295109101486479<40>
39586415184912943334857908282013957309641681593021230859222406356213564442187338875569507662238591386999789409159<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3972941269
Step 1 took 5907ms
Step 2 took 3484ms
********** Factor found in step 2: 1519694441775132206152633295109101486479
Found prime factor of 40 digits: 1519694441775132206152633295109101486479
Prime cofactor 39586415184912943334857908282013957309641681593021230859222406356213564442187338875569507662238591386999789409159 has 113 digits
 

GMP-ECM

1713216695767849406208862056021969168421418585265949523063939588476257893369395535690647171547545984499704243575691745386290913233714149839022443307278994539<157>

226767711208988465695209203<27>

7554941074432567089083879984115473084485415468545063394728157102019017849089441547736097424693367498452570831134643124295469638313<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1180559421
Step 1 took 4968ms
********** Factor found in step 2: 226767711208988465695209203
Found prime factor of 27 digits: 226767711208988465695209203
Composite cofactor 7554941074432567089083879984115473084485415468545063394728157102019017849089441547736097424693367498452570831134643124295469638313 has 130 digits
 

GMP-ECM

7554941074432567089083879984115473084485415468545063394728157102019017849089441547736097424693367498452570831134643124295469638313<130>

399351812681520159574652941039287215951447181177901<51>
18918008719438495418113893137436196229866551547904630065513220940164453886085613<80>

7554941074432567089083879984115473084485415468545063394728157102019017849089441547736097424693367498452570831134643124295469638313=399351812681520159574652941039287215951447181177901*18918008719438495418113893137436196229866551547904630065513220940164453886085613

cado polynomial
n: 7554941074432567089083879984115473084485415468545063394728157102019017849089441547736097424693367498452570831134643124295469638313
skew: 26553.733
c0: 7915046799852961737908536415
c1: 57940874296410153704279
c2: -47488555263022857155
c3: -649112950261291
c4: 7333659020
c5: 649020
Y0: -6499503927787384083502236
Y1: 2150214531118166299
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.745e-07
# f(x) = 649020*x^5+7333659020*x^4-649112950261291*x^3-47488555263022857155*x^2+57940874296410153704279*x+7915046799852961737908536415
# g(x) = 2150214531118166299*x-6499503927787384083502236

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

cado log (extracts)
Info:Square Root: Factors: 18918008719438495418113893137436196229866551547904630065513220940164453886085613 399351812681520159574652941039287215951447181177901
Info:Square Root: Total cpu/real time for sqrt: 1452.14/434.215
Info:Filtering - Singleton removal: Total cpu/real time for purge: 206.09/229.35
Info:Linear Algebra: Total cpu/real time for bwc: 51733.3/13273.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33137.79, WCT time 8461.18, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55552 iterations)
Info:Linear Algebra: Lingen CPU time 347.59, WCT time 88.29
Info:Linear Algebra: Mksol: CPU time 17924.23,  WCT time 4597.45, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23874233
Info:Lattice Sieving: Average J: 7627.42 for 64767 special-q, max bucket fill -bkmult 1.0,1s:1.076310
Info:Lattice Sieving: Total time: 88842.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 39.29/10.4269
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5250.37
Info:Polynomial Selection (root optimized): Rootsieve time: 5247.84
Info:Generate Free Relations: Total cpu/real time for freerel: 253.18/64.0154
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.23/119.389
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.10000000000001s
Info:Filtering - Merging: Merged matrix has 1769435 rows and total weight 302300722 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 448.03/126.446
Info:Filtering - Merging: Total cpu/real time for replay: 71.29/60.2852
Info:Quadratic Characters: Total cpu/real time for characters: 69.64/29.3895
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38471/37.850/46.375/49.920/0.836
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30411/37.020/41.624/47.190/0.980
Info:Polynomial Selection (size optimized): Total time: 4902.61
Info:Square Root: Total cpu/real time for sqrt: 1452.14/434.215
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 341.13/312.372
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 274.09999999999997s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 231938/62075.5
Info:root: Cleaning up computation data in /tmp/cado.akpcz6od
18918008719438495418113893137436196229866551547904630065513220940164453886085613 399351812681520159574652941039287215951447181177901

cado-nfs-3.0.0

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

330602361974811815167034126779736434647629145912917966204541557816011806523957103064062434830423607375635194609036970795987905599615467586248400155756457<153>

3018562928865563628930404230655008270042239199<46>
109523097502247137330936770574565560677884157410388747784728124070619568450036032383035948008789577445249143<108>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 330602361974811815167034126779736434647629145912917966204541557816011806523957103064062434830423607375635194609036970795987905599615467586248400155756457 (153 digits)
Using B1=21780000, B2=96186870796, polynomial Dickson(12), sigma=1:1191455184
Step 1 took 41904ms
Step 2 took 17189ms
********** Factor found in step 2: 3018562928865563628930404230655008270042239199
Found prime factor of 46 digits: 3018562928865563628930404230655008270042239199
Prime cofactor 109523097502247137330936770574565560677884157410388747784728124070619568450036032383035948008789577445249143 has 108 digits

2166997360200708091884974636672432578627826108461822078436723645870967814192202914754423052328812474033803251295210618950654706692304617961378605254901095409<157>

601978053285481020895818477808222868770921023739<48>
3599794624361554668683176428448972002729505022653769933980870540061443059726237680031617101840247570865910531<109>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2166997360200708091884974636672432578627826108461822078436723645870967814192202914754423052328812474033803251295210618950654706692304617961378605254901095409 (157 digits)
Using B1=17340000, B2=58559766730, polynomial Dickson(12), sigma=1:43153877
Step 1 took 39691ms
Step 2 took 15814ms
********** Factor found in step 2: 601978053285481020895818477808222868770921023739
Found prime factor of 48 digits: 601978053285481020895818477808222868770921023739
Prime cofactor 3599794624361554668683176428448972002729505022653769933980870540061443059726237680031617101840247570865910531 has 109 digits

343630534467808641302465876616390003329825574718009747356603983542649816086132870728435538950297850844676482534830382256549154947810240736319071<144>

365549597678003433068975765665195152884289454189273<51>
940038059542600479784100258942284513129422097382202383612741443585032709858586248320529831927<93>

343630534467808641302465876616390003329825574718009747356603983542649816086132870728435538950297850844676482534830382256549154947810240736319071=365549597678003433068975765665195152884289454189273*940038059542600479784100258942284513129422097382202383612741443585032709858586248320529831927

cado polynomial
n: 343630534467808641302465876616390003329825574718009747356603983542649816086132870728435538950297850844676482534830382256549154947810240736319071
skew: 0.31
type: snfs
c0: 1
c5: 375
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 375*x^5+1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9400000
tasks.lim1 = 9400000
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: 365549597678003433068975765665195152884289454189273 940038059542600479784100258942284513129422097382202383612741443585032709858586248320529831927
Info:Square Root: Total cpu/real time for sqrt: 431.49/136.637
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.44/102.482
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22425126
Info:Lattice Sieving: Average J: 1894.27 for 1047240 special-q, max bucket fill -bkmult 1.0,1s:1.165200
Info:Lattice Sieving: Total time: 195656s
Info:Linear Algebra: Total cpu/real time for bwc: 40216.4/10322.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 25713.44, WCT time 6571.16, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49152 iterations)
Info:Linear Algebra: Lingen CPU time 318.03, WCT time 80.73
Info:Linear Algebra: Mksol: CPU time 13904.12,  WCT time 3564.65, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.3/32.3848
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.94/105.873
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.8s
Info:Filtering - Merging: Merged matrix has 1564664 rows and total weight 266154875 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 411.87/114.868
Info:Filtering - Merging: Total cpu/real time for replay: 61.71/52.5868
Info:Generate Factor Base: Total cpu/real time for makefb: 3.99/2.18297
Info:Quadratic Characters: Total cpu/real time for characters: 58.11/23.5275
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 220.15/186.774
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 171.8s
Info:Square Root: Total cpu/real time for sqrt: 431.49/136.637
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 415935/43981.1
Info:root: Cleaning up computation data in /tmp/cado.n18ma4in
365549597678003433068975765665195152884289454189273 940038059542600479784100258942284513129422097382202383612741443585032709858586248320529831927

cado-nfs-3.0.0

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

26847951723411932993288945421992651542096881755861988070018578917727783684443912800852751836722049995604887284589111251635244215174058206827247533031<149>

257445599108700321483089363<27>
104285922215652323978111922776154579913195381743697200817027760497901903713762206004569199976063805461562578152984572158237<123>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 26847951723411932993288945421992651542096881755861988070018578917727783684443912800852751836722049995604887284589111251635244215174058206827247533031 (149 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:438469195
Step 1 took 1943ms
Step 2 took 1273ms
********** Factor found in step 2: 257445599108700321483089363
Found prime factor of 27 digits: 257445599108700321483089363
Prime cofactor 104285922215652323978111922776154579913195381743697200817027760497901903713762206004569199976063805461562578152984572158237 has 123 digits

GMP-ECM 7.0.4

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

158423389054166306030451669484581070472949316466201113911843654891463267109762236850037994726375390276405521481605016931999915671197759818039138595959952097<156>

6816380258642064384555986177916377505962384689065095114563155640856415793<73>
23241571485585938204336160832374548189325942381922293768899687948861684356527223729<83>

Number: n
N=158423389054166306030451669484581070472949316466201113911843654891463267109762236850037994726375390276405521481605016931999915671197759818039138595959952097  ( 156 digits)
SNFS difficulty: 190 digits.
Divisors found:

Thu Dec 22 08:19:37 2022  p73 factor: 6816380258642064384555986177916377505962384689065095114563155640856415793
Thu Dec 22 08:19:37 2022  p83 factor: 23241571485585938204336160832374548189325942381922293768899687948861684356527223729
Thu Dec 22 08:19:37 2022  elapsed time 00:23:30 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 3x10^190+8 = 30(189)8
#
n: 158423389054166306030451669484581070472949316466201113911843654891463267109762236850037994726375390276405521481605016931999915671197759818039138595959952097
m: 100000000000000000000000000000000000000
deg: 5
c5: 3
c0: 8
skew: 1.22
# Murphy_E = 5.281e-11
type: snfs
lss: 1
rlim: 10500000
alim: 10500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 18050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1698990 hash collisions in 14465710 relations (13616951 unique)
Msieve: matrix is 1072766 x 1072991 (372.2 MB)

Sieving start time : 2022/12/22 04:19:05
Sieving end time  : 2022/12/22 07:55:45

Total sieving time: 3hrs 36min 40secs.

Total relation processing time: 0hrs 18min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10500000,10500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

223677207019155187268352981463734191620930706141054207173230484897942498044745693228579902980592326073091065167336796095268999199400174946676159253641898261633991560777<168>

976808133042330075151134882508382838295783457116841231623209806821<66>
228987863074500131967791065175762069365032277866538208917923954974678197711819714731457747756834380437<102>

Number: n
N=223677207019155187268352981463734191620930706141054207173230484897942498044745693228579902980592326073091065167336796095268999199400174946676159253641898261633991560777  ( 168 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Jun 24 20:58:21 2022  p66 factor: 976808133042330075151134882508382838295783457116841231623209806821
Fri Jun 24 20:58:21 2022  p102 factor: 228987863074500131967791065175762069365032277866538208917923954974678197711819714731457747756834380437
Fri Jun 24 20:58:21 2022  elapsed time 00:32:33 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 3x10^191+8 = 30(190)8
#
n: 223677207019155187268352981463734191620930706141054207173230484897942498044745693228579902980592326073091065167336796095268999199400174946676159253641898261633991560777
m: 100000000000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 4.962e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2998404 hash collisions in 28591535 relations (27338825 unique)
Msieve: matrix is 1116112 x 1116337 (389.0 MB)

Sieving start time : 2022/06/24 17:00:10
Sieving end time  : 2022/06/24 20:25:21

Total sieving time: 3hrs 25min 11secs.

Total relation processing time: 0hrs 20min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 41sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

643224699828473413379073756432246998284734133790737564322469982847341337907375643224699828473413379073756432246998284734133790737564322469982847341337907375643224699828473413379073756432247<189>

1403487144104229760396320369175481351225917566971735161<55>
458304661022747799656479023852137872265675551024267294835415631773552809477959793892059179226802895584689844585369988401886534902658927<135>

Thu Jun 16 16:15:22 2022  Msieve v. 1.53 (SVN unknown)
Thu Jun 16 16:15:22 2022  random seeds: 0c9d03a0 c356ad91
Thu Jun 16 16:15:22 2022  factoring 643224699828473413379073756432246998284734133790737564322469982847341337907375643224699828473413379073756432246998284734133790737564322469982847341337907375643224699828473413379073756432247 (189 digits)
Thu Jun 16 16:15:24 2022  searching for 15-digit factors
Thu Jun 16 16:15:25 2022  commencing number field sieve (189-digit input)
Thu Jun 16 16:15:25 2022  R0: -100000000000000000000000000000000000000
Thu Jun 16 16:15:25 2022  R1: 1
Thu Jun 16 16:15:25 2022  A0: 2
Thu Jun 16 16:15:25 2022  A1: 0
Thu Jun 16 16:15:25 2022  A2: 0
Thu Jun 16 16:15:25 2022  A3: 0
Thu Jun 16 16:15:25 2022  A4: 0
Thu Jun 16 16:15:25 2022  A5: 75
Thu Jun 16 16:15:25 2022  skew 0.48, size 3.358e-13, alpha 0.167, combined = 4.095e-11 rroots = 1
Thu Jun 16 16:15:25 2022  
Thu Jun 16 16:15:25 2022  commencing square root phase
Thu Jun 16 16:15:25 2022  reading relations for dependency 1
Thu Jun 16 16:15:26 2022  read 948383 cycles
Thu Jun 16 16:15:28 2022  cycles contain 3011958 unique relations
Thu Jun 16 16:16:19 2022  read 3011958 relations
Thu Jun 16 16:16:38 2022  multiplying 3011958 relations
Thu Jun 16 16:18:55 2022  multiply complete, coefficients have about 85.27 million bits
Thu Jun 16 16:18:56 2022  initial square root is modulo 1320811
Thu Jun 16 16:21:54 2022  GCD is 1, no factor found
Thu Jun 16 16:21:54 2022  reading relations for dependency 2
Thu Jun 16 16:21:55 2022  read 948424 cycles
Thu Jun 16 16:21:57 2022  cycles contain 3011216 unique relations
Thu Jun 16 16:22:48 2022  read 3011216 relations
Thu Jun 16 16:23:06 2022  multiplying 3011216 relations
Thu Jun 16 16:25:22 2022  multiply complete, coefficients have about 85.26 million bits
Thu Jun 16 16:25:23 2022  initial square root is modulo 1317271
Thu Jun 16 16:28:21 2022  sqrtTime: 776
Thu Jun 16 16:28:21 2022  p55 factor: 1403487144104229760396320369175481351225917566971735161
Thu Jun 16 16:28:21 2022  p135 factor: 458304661022747799656479023852137872265675551024267294835415631773552809477959793892059179226802895584689844585369988401886534902658927
Thu Jun 16 16:28:21 2022  elapsed time 00:12:59
Thu Jun 16 16:28:21 2022 -> Computing time scale for this machine...
Thu Jun 16 16:28:21 2022 -> procrels -speedtest> PIPE
Thu Jun 16 16:28:25 2022 -> Factorization summary written to s192-30008_192.txt

82164435735939269738651555404561735856945399968415898878936920460480234812744415627446028473292963845129903365640482000118056359064243915314294609812558600756029201814779003352582487<182>

15844250622295919649538371308329332717799999939<47>
5185757136428910389918496725626156580500495518067724114460808107204252223882952965958758772541617879679563686496102985387510370230285533<136>

Number: n
N=82164435735939269738651555404561735856945399968415898878936920460480234812744415627446028473292963845129903365640482000118056359064243915314294609812558600756029201814779003352582487  ( 182 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Jun 25 22:17:32 2022  p47 factor: 15844250622295919649538371308329332717799999939
Sat Jun 25 22:17:32 2022  p136 factor: 5185757136428910389918496725626156580500495518067724114460808107204252223882952965958758772541617879679563686496102985387510370230285533
Sat Jun 25 22:17:32 2022  elapsed time 00:54:37 (Msieve 1.54 - dependency 12)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 3x10^193+8 = 30(192)8
#
n: 82164435735939269738651555404561735856945399968415898878936920460480234812744415627446028473292963845129903365640482000118056359064243915314294609812558600756029201814779003352582487
m: 100000000000000000000000000000000000000
deg: 5
c5: 375
c0: 1
skew: 0.31
# Murphy_E = 4.001e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2973567 hash collisions in 28447675 relations (27212061 unique)
Msieve: matrix is 1263089 x 1263314 (440.0 MB)

Sieving start time : 2022/06/25 17:45:49
Sieving end time  : 2022/06/25 21:22:27

Total sieving time: 3hrs 36min 38secs.

Total relation processing time: 0hrs 27min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 59sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

5149264991437499389544186711266046839212862636107782381362048297397280124526769263680502007346022164726628693688396300972945795526251115629101201996125082612540447091859049013823<178>

107255530070120327140660602671548696041244000946623<51>
48009319315014062336692241993658520932993707450316798211058115503207380335251781100025479720494775391224416612376438823110166401<128>

Number: n
N=5149264991437499389544186711266046839212862636107782381362048297397280124526769263680502007346022164726628693688396300972945795526251115629101201996125082612540447091859049013823  ( 178 digits)
SNFS difficulty: 194 digits.
Divisors found:

Mon Jul 18 19:25:31 2022  p51 factor: 107255530070120327140660602671548696041244000946623
Mon Jul 18 19:25:31 2022  p128 factor: 48009319315014062336692241993658520932993707450316798211058115503207380335251781100025479720494775391224416612376438823110166401
Mon Jul 18 19:25:31 2022  elapsed time 00:40:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 3x10^194+8 = 30(193)8
#
n: 5149264991437499389544186711266046839212862636107782381362048297397280124526769263680502007346022164726628693688396300972945795526251115629101201996125082612540447091859049013823
m: 500000000000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 3.902e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 11650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2908517 hash collisions in 28468123 relations (27317140 unique)
Msieve: matrix is 1274485 x 1274710 (446.0 MB)

Sieving start time : 2022/07/18 15:29:52
Sieving end time  : 2022/07/18 18:44:41

Total sieving time: 3hrs 14min 49secs.

Total relation processing time: 0hrs 29min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12100000,12100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

28614659076907355427741804551568314272889180142932926735036458218070171615580709151565976042386901491575315677899524300978162068035388643445847626292994722350833620719<167>

65013965678073601369682263418219884520859451880690746515552405282829<68>
440130959224932225434938974468797012735098879512956837980701512240928214039911939530837324337682411<99>

Number: n
N=28614659076907355427741804551568314272889180142932926735036458218070171615580709151565976042386901491575315677899524300978162068035388643445847626292994722350833620719  ( 167 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Jul 21 15:33:28 2022  p68 factor: 65013965678073601369682263418219884520859451880690746515552405282829
Thu Jul 21 15:33:28 2022  p99 factor: 440130959224932225434938974468797012735098879512956837980701512240928214039911939530837324337682411
Thu Jul 21 15:33:28 2022  elapsed time 01:04:00 (Msieve 1.54 - dependency 13)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 3x10^195+8 = 30(194)8
#
n: 28614659076907355427741804551568314272889180142932926735036458218070171615580709151565976042386901491575315677899524300978162068035388643445847626292994722350833620719
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3
c0: 8
skew: 1.22
# Murphy_E = 3.278e-11
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3084264 hash collisions in 28690918 relations (27338655 unique)
Msieve: matrix is 1399286 x 1399511 (487.6 MB)

Sieving start time : 2022/07/21 09:59:39
Sieving end time  : 2022/07/21 14:28:37

Total sieving time: 4hrs 28min 58secs.

Total relation processing time: 0hrs 36min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 23sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12700000,12700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

8434685042913861327342165479845241678988382553522818410212812445129817453675950947117429326803898781558712085291657313375979796298729744413166250167824614247417334337356978512519407449<184>

5329998869082783492478162335996888973342185350931326688923<58>
1582492839133631914340468259239138379760237943718731647378170502995455587180012130992014205555889093559518239289027924137531163<127>

Number: n
N=8434685042913861327342165479845241678988382553522818410212812445129817453675950947117429326803898781558712085291657313375979796298729744413166250167824614247417334337356978512519407449  ( 184 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Jul 25 05:19:04 2022  p58 factor: 5329998869082783492478162335996888973342185350931326688923
Mon Jul 25 05:19:04 2022  p127 factor: 1582492839133631914340468259239138379760237943718731647378170502995455587180012130992014205555889093559518239289027924137531163
Mon Jul 25 05:19:04 2022  elapsed time 00:59:11 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 3x10^197+8 = 30(196)8
#
n: 8434685042913861327342165479845241678988382553522818410212812445129817453675950947117429326803898781558712085291657313375979796298729744413166250167824614247417334337356978512519407449
m: 1000000000000000000000000000000000000000
deg: 5
c5: 75
c0: 2
skew: 0.48
# Murphy_E = 2.54e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3227658 hash collisions in 28590856 relations (27041781 unique)
Msieve: matrix is 1530169 x 1530394 (530.6 MB)

Sieving start time : 2022/07/24 22:55:15
Sieving end time  : 2022/07/25 04:19:02

Total sieving time: 5hrs 23min 47secs.

Total relation processing time: 0hrs 45min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 51sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

16131387686881987969221762820559657992534856059582488973542159126397826933449729992324205067696850789883917843114331841278578343208093009242745670643399938331238543311454251437019<179>

118511425064813538941416826738435851045219668464583089585537850246731111281<75>
136116730332622200494425080564359338299778772381007345176296018767708567772114745532613001353551088844299<105>

Number: n
N=16131387686881987969221762820559657992534856059582488973542159126397826933449729992324205067696850789883917843114331841278578343208093009242745670643399938331238543311454251437019  ( 179 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sun Aug 28 04:20:34 2022  p75 factor: 118511425064813538941416826738435851045219668464583089585537850246731111281
Sun Aug 28 04:20:34 2022  p105 factor: 136116730332622200494425080564359338299778772381007345176296018767708567772114745532613001353551088844299
Sun Aug 28 04:20:34 2022  elapsed time 01:08:56 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 3x10^199+8 = 30(198)8
#
n: 16131387686881987969221762820559657992534856059582488973542159126397826933449729992324205067696850789883917843114331841278578343208093009242745670643399938331238543311454251437019
m: 5000000000000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 2.415e-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, 20150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3113189 hash collisions in 28205537 relations (26761059 unique)
Msieve: matrix is 1585921 x 1586146 (556.3 MB)

Sieving start time : 2022/08/27 22:16:59
Sieving end time  : 2022/08/28 03:11:04

Total sieving time: 4hrs 54min 5secs.

Total relation processing time: 0hrs 49min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 34sec.

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) ----------

FIVE "NEWTON-FAILED-TO-CONVERGE" -- Is this a BUG that can be fixed in Msieve, I wonder ?

Sun Aug 28 04:09:00 2022  commencing square root phase
Sun Aug 28 04:09:00 2022  reading relations for dependency 1
Sun Aug 28 04:09:00 2022  read 793545 cycles
Sun Aug 28 04:09:01 2022  cycles contain 2483886 unique relations
Sun Aug 28 04:09:11 2022  read 2483886 relations
Sun Aug 28 04:09:18 2022  multiplying 2483886 relations
Sun Aug 28 04:09:55 2022  multiply complete, coefficients have about 65.28 million bits
Sun Aug 28 04:09:55 2022  initial square root is modulo 2357518771
Sun Aug 28 04:10:40 2022  Newton iteration failed to converge
Sun Aug 28 04:10:40 2022  algebraic square root failed
Sun Aug 28 04:10:40 2022  reading relations for dependency 2
Sun Aug 28 04:10:40 2022  read 793542 cycles
Sun Aug 28 04:10:41 2022  cycles contain 2484306 unique relations
Sun Aug 28 04:10:50 2022  read 2484306 relations
Sun Aug 28 04:10:58 2022  multiplying 2484306 relations
Sun Aug 28 04:11:34 2022  multiply complete, coefficients have about 65.30 million bits
Sun Aug 28 04:11:35 2022  initial square root is modulo 2366336191
Sun Aug 28 04:12:19 2022  Newton iteration failed to converge
Sun Aug 28 04:12:19 2022  algebraic square root failed
Sun Aug 28 04:12:19 2022  reading relations for dependency 3
Sun Aug 28 04:12:19 2022  read 792977 cycles
Sun Aug 28 04:12:20 2022  cycles contain 2483344 unique relations
Sun Aug 28 04:12:30 2022  read 2483344 relations
Sun Aug 28 04:12:37 2022  multiplying 2483344 relations
Sun Aug 28 04:13:14 2022  multiply complete, coefficients have about 65.27 million bits
Sun Aug 28 04:13:14 2022  initial square root is modulo 2343923801
Sun Aug 28 04:13:59 2022  Newton iteration failed to converge
Sun Aug 28 04:13:59 2022  algebraic square root failed
Sun Aug 28 04:13:59 2022  reading relations for dependency 4
Sun Aug 28 04:13:59 2022  read 793727 cycles
Sun Aug 28 04:14:00 2022  cycles contain 2484492 unique relations
Sun Aug 28 04:14:09 2022  read 2484492 relations
Sun Aug 28 04:14:16 2022  multiplying 2484492 relations
Sun Aug 28 04:14:53 2022  multiply complete, coefficients have about 65.30 million bits
Sun Aug 28 04:14:53 2022  initial square root is modulo 2367050341
Sun Aug 28 04:15:38 2022  Newton iteration failed to converge
Sun Aug 28 04:15:38 2022  algebraic square root failed
Sun Aug 28 04:15:38 2022  reading relations for dependency 5
Sun Aug 28 04:15:38 2022  read 793437 cycles
Sun Aug 28 04:15:39 2022  cycles contain 2484084 unique relations
Sun Aug 28 04:15:48 2022  read 2484084 relations
Sun Aug 28 04:15:55 2022  multiplying 2484084 relations
Sun Aug 28 04:16:32 2022  multiply complete, coefficients have about 65.29 million bits
Sun Aug 28 04:16:32 2022  initial square root is modulo 2360896831
Sun Aug 28 04:17:16 2022  Newton iteration failed to converge
Sun Aug 28 04:17:16 2022  algebraic square root failed
Sun Aug 28 04:17:16 2022  reading relations for dependency 6
Sun Aug 28 04:17:17 2022  read 792744 cycles
Sun Aug 28 04:17:17 2022  cycles contain 2481996 unique relations
Sun Aug 28 04:17:27 2022  read 2481996 relations
Sun Aug 28 04:17:34 2022  multiplying 2481996 relations
Sun Aug 28 04:18:11 2022  multiply complete, coefficients have about 65.23 million bits
Sun Aug 28 04:18:11 2022  initial square root is modulo 2318362531
Sun Aug 28 04:18:55 2022  GCD is 1, no factor found
Sun Aug 28 04:18:55 2022  reading relations for dependency 7
Sun Aug 28 04:18:56 2022  read 792172 cycles
Sun Aug 28 04:18:56 2022  cycles contain 2479696 unique relations
Sun Aug 28 04:19:06 2022  read 2479696 relations
Sun Aug 28 04:19:13 2022  multiplying 2479696 relations
Sun Aug 28 04:19:49 2022  multiply complete, coefficients have about 65.17 million bits
Sun Aug 28 04:19:50 2022  initial square root is modulo 2272839091
Sun Aug 28 04:20:34 2022  sqrtTime: 694
Sun Aug 28 04:20:34 2022  p75 factor: 118511425064813538941416826738435851045219668464583089585537850246731111281
Sun Aug 28 04:20:34 2022  p105 factor: 136116730332622200494425080564359338299778772381007345176296018767708567772114745532613001353551088844299
Sun Aug 28 04:20:34 2022  elapsed time 01:08:56

4760148252088159621200857451216826542698358455893716628425328106546690282248738208462225983176569803911976150921020775330662428958436784577485242620123197968130083909735453935797836833770761339<193>

2097366017988063724239916503109618162268283095785998164311<58>
2269583950184535697522166908395249880545183627374319130453885034265941507134490362753822802144513161476941551726719780953878823694689149<136>

Number: n
N=4760148252088159621200857451216826542698358455893716628425328106546690282248738208462225983176569803911976150921020775330662428958436784577485242620123197968130083909735453935797836833770761339  ( 193 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Sep 11 16:15:44 2022  p58 factor: 2097366017988063724239916503109618162268283095785998164311
Sun Sep 11 16:15:44 2022  p136 factor: 2269583950184535697522166908395249880545183627374319130453885034265941507134490362753822802144513161476941551726719780953878823694689149
Sun Sep 11 16:15:44 2022  elapsed time 01:16:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 3x10^201+8 = 30(200)8
#
n: 4760148252088159621200857451216826542698358455893716628425328106546690282248738208462225983176569803911976150921020775330662428958436784577485242620123197968130083909735453935797836833770761339
m: 10000000000000000000000000000000000000000
deg: 5
c5: 15
c0: 4
skew: 0.77
# Murphy_E = 1.903e-11
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3245023 hash collisions in 27821039 relations (26168384 unique)
Msieve: matrix is 1832841 x 1833066 (643.4 MB)

Sieving start time : 2022/09/11 08:07:46
Sieving end time  : 2022/09/11 14:58:34

Total sieving time: 6hrs 50min 48secs.

Total relation processing time: 1hrs 6min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 11sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,14800000,14800000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

14013714284185322753908313738392631979171181029015380477443807630956226093140623560733152537983247662141561093166726439206495065832860881198273768999929292403207714535512880212201566136085893889<194>

33958210287803747117671904329753532415736050353682972090679913708088802254120049518597139589<92>
412675290170354323741085993162708311012804898998627438333041382631043722689352159374435531083657978701<102>

Number: n
N=14013714284185322753908313738392631979171181029015380477443807630956226093140623560733152537983247662141561093166726439206495065832860881198273768999929292403207714535512880212201566136085893889  ( 194 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Nov  6 14:44:50 2022  p92 factor: 33958210287803747117671904329753532415736050353682972090679913708088802254120049518597139589
Sun Nov  6 14:44:50 2022  p102 factor: 412675290170354323741085993162708311012804898998627438333041382631043722689352159374435531083657978701
Sun Nov  6 14:44:50 2022  elapsed time 01:17:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 3x10^202+8 = 30(201)8
#
n: 14013714284185322753908313738392631979171181029015380477443807630956226093140623560733152537983247662141561093166726439206495065832860881198273768999929292403207714535512880212201566136085893889
m: 10000000000000000000000000000000000000000
deg: 5
c5: 75
c0: 2
skew: 0.48
# Murphy_E = 1.569e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 28100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2328230 hash collisions in 15681310 relations (14135016 unique)
Msieve: matrix is 1891158 x 1891383 (659.2 MB)

Sieving start time : 2022/11/06 03:50:03
Sieving end time  : 2022/11/06 13:26:54

Total sieving time: 9hrs 36min 51secs.

Total relation processing time: 1hrs 10min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 14sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,27,27,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4298731724147107603250216295946314901527043722516547995148901349438052916344106467597205557717977223395226412970564510247928844989375863605220067528340580785206269457268446022618113<181>

5642603233990704029137792668997345260898162907<46>
761834838617006612255419554770072353654152953942242614911540665321659050471288101921800934928409666568446442842372568308632069114283859<135>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4298731724147107603250216295946314901527043722516547995148901349438052916344106467597205557717977223395226412970564510247928844989375863605220067528340580785206269457268446022618113 (181 digits)
Using B1=42600000, B2=240489969736, polynomial Dickson(12), sigma=1:524856385
Step 1 took 114077ms
Step 2 took 38342ms
********** Factor found in step 2: 5642603233990704029137792668997345260898162907
Found prime factor of 46 digits: 5642603233990704029137792668997345260898162907
Prime cofactor 761834838617006612255419554770072353654152953942242614911540665321659050471288101921800934928409666568446442842372568308632069114283859 has 135 digits

117878360685290966794909172351943447522189292328083753483185368810840540929221019461610895180640829740350527252188727232244373123505251307696290936124826544578522720714848730083<177>

2732327270709732884535525354546217<34>
43142108908012177250889826940722035512710941179611622752570113406732500207951008348824212592464628112182210227884443360198453935715718365593899<143>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 117878360685290966794909172351943447522189292328083753483185368810840540929221019461610895180640829740350527252188727232244373123505251307696290936124826544578522720714848730083 (177 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3777177867
Step 1 took 3694ms
Step 2 took 1706ms
********** Factor found in step 2: 2732327270709732884535525354546217
Found prime factor of 34 digits: 2732327270709732884535525354546217
Prime cofactor 43142108908012177250889826940722035512710941179611622752570113406732500207951008348824212592464628112182210227884443360198453935715718365593899 has 143 digits

GMP-ECM 7.0.4

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

227417185425481483116639120886424886013958321040171032278139829306118632083810328245475201550754755187219226952587276802919478730701605061979066824205120840698870597741510834852126371909332224912079<198>

447378060107493728780694821912267058226274637901<48>
508333344220856151244383392871044758117538418958073868186547017773173185050585977152807508419348530962128751335982380753290843648951951967160999107979<150>

Number: n
N=227417185425481483116639120886424886013958321040171032278139829306118632083810328245475201550754755187219226952587276802919478730701605061979066824205120840698870597741510834852126371909332224912079  ( 198 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Oct 19 08:56:07 2023  prp48 factor: 447378060107493728780694821912267058226274637901
Thu Oct 19 08:56:07 2023  prp150 factor: 508333344220856151244383392871044758117538418958073868186547017773173185050585977152807508419348530962128751335982380753290843648951951967160999107979
Thu Oct 19 08:56:07 2023  elapsed time 02:06:06 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 3x10^205+8 = 30(204)8
#
n: 227417185425481483116639120886424886013958321040171032278139829306118632083810328245475201550754755187219226952587276802919478730701605061979066824205120840698870597741510834852126371909332224912079
m: 100000000000000000000000000000000000000000
deg: 5
c5: 3
c0: 8
skew: 1.22
# Murphy_E = 1.248e-11
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3640817 hash collisions in 21649762 relations (18531374 unique)
Msieve: matrix is 1991315 x 1991540 (559.0 MB)

Sieving start time: 2023/10/18 14:33:28
Sieving end time  : 2023/10/19 06:49:34

Total sieving time: 16hrs 16min 6secs.

Total relation processing time: 1hrs 56min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 21sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18600000,18600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1683280291095410613741856725350906466635845979580874831360900021956894619027279928714026865935505886119106018181574849039216572812541131820367725137558629701663<160>

24529561018994034833161962824888339<35>
68622519978730645808398043591358886798938853927912051726799473556497686518251447474522164336903285238346353635420667020194117<125>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1683280291095410613741856725350906466635845979580874831360900021956894619027279928714026865935505886119106018181574849039216572812541131820367725137558629701663 (160 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:223405319
Step 1 took 1963ms
Step 2 took 18ms
********** Factor found in step 2: 24529561018994034833161962824888339
Found prime factor of 35 digits: 24529561018994034833161962824888339
Prime cofactor 68622519978730645808398043591358886798938853927912051726799473556497686518251447474522164336903285238346353635420667020194117 has 125 digits

GMP-ECM 7.0.4

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

482005567944494353542794358837497888704999144438186334482602766511267761957106323412229892907729766433003846585446568008277484881213113941773253337902488471906721457918138019381<177>

258480964267964695577<21>
955883077352985051315017957<27>

1950826816418066481777852922250527147159002315158966045488794316560982095878932921099800250618729250980965176651431339010988019129<130>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3855019090
Step 1 took 3722ms
Step 2 took 1848ms
********** Factor found in step 2: 258480964267964695577
Found prime factor of 21 digits: 258480964267964695577
Composite cofactor 17020195531297196486183725946145519724259283954989394506673521942544454903879357691721815778075250087605076817846402188539366513812523248240007260165235104714161936797345317180851 has 179 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:881511201
Step 1 took 3318ms
Step 2 took 1917ms
********** Factor found in step 2: 955883077352985051315017957
Found prime factor of 27 digits: 955883077352985051315017957
Composite cofactor 1950826816418066481777852922250527147159002315158966045488794316560982095878932921099800250618729250980965176651431339010988019129 has 130 digits

GMP-ECM 7.0.4

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

1950826816418066481777852922250527147159002315158966045488794316560982095878932921099800250618729250980965176651431339010988019129<130>

60403909722980055608124819607691228547736937625119633<53>
32296366665085160536782393098019491665195629808290390768685924091273877478313<77>

1950826816418066481777852922250527147159002315158966045488794316560982095878932921099800250618729250980965176651431339010988019129=60403909722980055608124819607691228547736937625119633*32296366665085160536782393098019491665195629808290390768685924091273877478313

cado polynomial
n: 1950826816418066481777852922250527147159002315158966045488794316560982095878932921099800250618729250980965176651431339010988019129
skew: 97769.037
c0: 1251988251157921972748343259172
c1: -59543467154624782961068741
c2: -549660422694308445956
c3: -76422586143641
c4: 11975471022
c5: 259200
Y0: -6845708004617786806467258
Y1: 178187741646060883
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.797e-07
# f(x) = 259200*x^5+11975471022*x^4-76422586143641*x^3-549660422694308445956*x^2-59543467154624782961068741*x+1251988251157921972748343259172
# g(x) = 178187741646060883*x-6845708004617786806467258

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.ncurves0 = 16
tasks.sieve.ncurves1 = 21
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 32296366665085160536782393098019491665195629808290390768685924091273877478313 60403909722980055608124819607691228547736937625119633
Info:Square Root: Total cpu/real time for sqrt: 770.99/232.338
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 314.34/284.963
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 257.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 158.07/177.53
Info:Linear Algebra: Total cpu/real time for bwc: 53676.7/13766.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 34335.6, WCT time 8768.28, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56576 iterations)
Info:Linear Algebra: Lingen CPU time 352.12, WCT time 89.43
Info:Linear Algebra: Mksol: CPU time 18654.72,  WCT time 4777.67, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28416 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23699930
Info:Lattice Sieving: Average J: 7783.65 for 61738 special-q, max bucket fill -bkmult 1.0,1s:1.069110
Info:Lattice Sieving: Total time: 87115s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.57/10.7449
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5110.51
Info:Polynomial Selection (root optimized): Rootsieve time: 5108.07
Info:Generate Free Relations: Total cpu/real time for freerel: 252.71/64.402
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 103.35/123.322
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 123.0s
Info:Filtering - Merging: Merged matrix has 1809916 rows and total weight 308260258 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 462.58/130.406
Info:Filtering - Merging: Total cpu/real time for replay: 73.75/65.1465
Info:Quadratic Characters: Total cpu/real time for characters: 71.08/30.1359
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38665/38.460/46.155/50.150/0.841
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30739/37.610/41.409/46.940/0.973
Info:Polynomial Selection (size optimized): Total time: 4820.96
Info:Square Root: Total cpu/real time for sqrt: 770.99/232.338
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 229717/61850.6
Info:root: Cleaning up computation data in /tmp/cado.b_l5x4wc
32296366665085160536782393098019491665195629808290390768685924091273877478313 60403909722980055608124819607691228547736937625119633

cado-nfs-3.0.0

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

5127819490265726473465676060260712328452513889351460970448553053057092938900697331451158538040859702130763874174728646503796155883504405241333449077825708172985541104994469504965521<181>

113055712575772759571403583261638637308573171212454267939171922028833395318427833919662577<90>
45356571317251517919188354816182270132627860440324359417554206082842052460413103023691066273<92>

3×10208+8 = 3(0)2078<209> = 23 × 11 × 97 × 1129 × 106530793 × 5698558589219<13> × [5127819490265726473465676060260712328452513889351460970448553053057092938900697331451158538040859702130763874174728646503796155883504405241333449077825708172985541104994469504965521<181>]


07/23/24 16:59:52 v1.34.5 @ GEEKOM,
07/23/24 16:59:52 v1.34.5 @ GEEKOM, ****************************
07/23/24 16:59:52 v1.34.5 @ GEEKOM, Starting factorization of 30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008
07/23/24 16:59:52 v1.34.5 @ GEEKOM, using pretesting plan: normal
07/23/24 16:59:52 v1.34.5 @ GEEKOM, no tune info: using qs/gnfs crossover of 100 digits
07/23/24 16:59:52 v1.34.5 @ GEEKOM, ****************************
07/23/24 16:59:52 v1.34.5 @ GEEKOM, div: found prime factor = 2
07/23/24 16:59:52 v1.34.5 @ GEEKOM, div: found prime factor = 2
07/23/24 16:59:52 v1.34.5 @ GEEKOM, div: found prime factor = 2
07/23/24 16:59:52 v1.34.5 @ GEEKOM, div: found prime factor = 11
07/23/24 16:59:52 v1.34.5 @ GEEKOM, div: found prime factor = 97
07/23/24 16:59:52 v1.34.5 @ GEEKOM, div: found prime factor = 1129
07/23/24 16:59:52 v1.34.5 @ GEEKOM, rho: x^2 + 3, starting 1000 iterations on C202
07/23/24 16:59:52 v1.34.5 @ GEEKOM, rho: x^2 + 2, starting 1000 iterations on C202
07/23/24 16:59:52 v1.34.5 @ GEEKOM, rho: x^2 + 1, starting 1000 iterations on C202
07/23/24 16:59:52 v1.34.5 @ GEEKOM, pm1: starting B1 = 150K, B2 = gmp-ecm default on C202
07/23/24 16:59:52 v1.34.5 @ GEEKOM, c21 = 607071965466461320667
07/23/24 16:59:52 v1.34.5 @ GEEKOM, current ECM pretesting depth: 0.00
07/23/24 16:59:52 v1.34.5 @ GEEKOM, scheduled 30 curves at B1=2000 toward target pretesting depth of 55.69
07/23/24 16:59:52 v1.34.5 @ GEEKOM, Finished 30 curves using Lenstra ECM method on C181 input, B1=2K, B2=gmp-ecm default
07/23/24 16:59:52 v1.34.5 @ GEEKOM, current ECM pretesting depth: 15.18
07/23/24 16:59:52 v1.34.5 @ GEEKOM, scheduled 74 curves at B1=11000 toward target pretesting depth of 55.69
07/23/24 16:59:54 v1.34.5 @ GEEKOM, Finished 74 curves using Lenstra ECM method on C181 input, B1=11K, B2=gmp-ecm default
07/23/24 16:59:54 v1.34.5 @ GEEKOM, current ECM pretesting depth: 20.24
07/23/24 16:59:54 v1.34.5 @ GEEKOM, scheduled 214 curves at B1=50000 toward target pretesting depth of 55.69
07/23/24 17:00:34 v1.34.5 @ GEEKOM, nfs: commencing nfs on c209: 30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008
07/23/24 17:00:34 v1.34.5 @ GEEKOM, nfs: input divides 3*10^208 + 8
07/23/24 17:00:34 v1.34.5 @ GEEKOM, nfs: using supplied cofactor: 5127819490265726473465676060260712328452513889351460970448553053057092938900697331451158538040859702130763874174728646503796155883504405241333449077825708172985541104994469504965521
07/23/24 17:00:34 v1.34.5 @ GEEKOM, nfs: commencing snfs on c181: 5127819490265726473465676060260712328452513889351460970448553053057092938900697331451158538040859702130763874174728646503796155883504405241333449077825708172985541104994469504965521
07/23/24 17:00:34 v1.34.5 @ GEEKOM, gen: best 3 polynomials:
n: 5127819490265726473465676060260712328452513889351460970448553053057092938900697331451158538040859702130763874174728646503796155883504405241333449077825708172985541104994469504965521
# 3*10^208+8, difficulty: 211.48, anorm: 3.87e+031, rnorm: 1.81e+047
# scaled difficulty: 214.09, suggest sieving rational side
# size = 3.243e-014, alpha = -0.417, combined = 9.413e-012, rroots = 1
type: snfs
size: 211
skew: 0.3056
c5: 375
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 5127819490265726473465676060260712328452513889351460970448553053057092938900697331451158538040859702130763874174728646503796155883504405241333449077825708172985541104994469504965521
# 3*10^208+8, difficulty: 209.88, anorm: 1.73e+031, rnorm: 4.04e+047
# scaled difficulty: 212.60, suggest sieving rational side
# size = 2.966e-014, alpha = -0.148, combined = 8.758e-012, rroots = 1
type: snfs
size: 209
skew: 1.5281
c5: 3
c0: 25
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
n: 5127819490265726473465676060260712328452513889351460970448553053057092938900697331451158538040859702130763874174728646503796155883504405241333449077825708172985541104994469504965521
# 3*10^208+8, difficulty: 209.88, anorm: 2.45e+037, rnorm: 4.44e+040
# scaled difficulty: 209.88, suggest sieving algebraic side
# size = 2.086e-010, alpha = 0.559, combined = 5.644e-012, rroots = 0
type: snfs
size: 209
skew: 1.2685
c6: 6
c0: 25
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
07/23/24 17:00:37 v1.34.5 @ GEEKOM, test: fb generation took 2.0988 seconds
07/23/24 17:00:37 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.3056
c5: 375
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
07/23/24 17:04:20 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
07/23/24 17:04:22 v1.34.5 @ GEEKOM, test: fb generation took 1.9105 seconds
07/23/24 17:04:22 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 1.5281
c5: 3
c0: 25
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
07/23/24 17:07:56 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
07/23/24 17:07:59 v1.34.5 @ GEEKOM, test: fb generation took 2.8009 seconds
07/23/24 17:07:59 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 1.2685
c6: 6
c0: 25
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
07/23/24 17:11:04 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
07/23/24 17:11:04 v1.34.5 @ GEEKOM, gen: selected polynomial:
n: 5127819490265726473465676060260712328452513889351460970448553053057092938900697331451158538040859702130763874174728646503796155883504405241333449077825708172985541104994469504965521
# 3*10^208+8, difficulty: 209.88, anorm: 1.73e+031, rnorm: 4.04e+047
# scaled difficulty: 212.60, suggest sieving rational side
# size = 2.966e-014, alpha = -0.148, combined = 8.758e-012, rroots = 1
type: snfs
size: 209
skew: 1.5281
c5: 3
c0: 25
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
07/25/24 09:28:18 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
07/25/24 09:30:07 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 22193653
07/25/24 12:02:04 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
07/25/24 12:04:03 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 23499340
07/25/24 14:37:17 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
07/25/24 14:39:19 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 24795257
07/25/24 17:11:48 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
07/25/24 17:15:32 v1.34.5 @ GEEKOM, nfs: commencing msieve linear algebra
07/25/24 20:55:58 v1.34.5 @ GEEKOM, nfs: commencing msieve sqrt
07/25/24 21:11:54 v1.34.5 @ GEEKOM, prp92 = 45356571317251517919188354816182270132627860440324359417554206082842052460413103023691066273
07/25/24 21:11:54 v1.34.5 @ GEEKOM, prp90 = 113055712575772759571403583261638637308573171212454267939171922028833395318427833919662577
07/25/24 21:11:54 v1.34.5 @ GEEKOM, NFS elapsed time = 187880.1235 seconds.
07/25/24 21:11:54 v1.34.5 @ GEEKOM,
07/25/24 21:11:54 v1.34.5 @ GEEKOM,
07/23/24 17:11:04 v1.34.5 @ GEEKOM, test: test sieving took 629.74 seconds

YAFU

958123610720764454891540407266409463706277625897442448708449372748409514806203531004880042923937760290247579141010245535143974041237640205421702138531899128746263317918189018625922992411661003091545517259<204>

51414932845202892862884775110933740753149<41>
6396656403667918674352505072251689770392374802071647<52>
2913260003205743381916056121401555467123938896940931452432717497103685813749216356977357023315514999884529359353<112>

Number: n
N=958123610720764454891540407266409463706277625897442448708449372748409514806203531004880042923937760290247579141010245535143974041237640205421702138531899128746263317918189018625922992411661003091545517259  ( 204 digits)
SNFS difficulty: 209 digits.
Divisors found:

Mon Oct 28 09:05:14 2024  prp41 factor: 51414932845202892862884775110933740753149
Mon Oct 28 09:05:14 2024  prp52 factor: 6396656403667918674352505072251689770392374802071647
Mon Oct 28 09:05:14 2024  prp112 factor: 2913260003205743381916056121401555467123938896940931452432717497103685813749216356977357023315514999884529359353
Mon Oct 28 09:05:14 2024  elapsed time 02:13:16 (Msieve 1.44 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.135).
Factorization parameters were as follows:
#
# N = 3x10^209+8 = 30(208)8
#
n: 958123610720764454891540407266409463706277625897442448708449372748409514806203531004880042923937760290247579141010245535143974041237640205421702138531899128746263317918189018625922992411661003091545517259
m: 500000000000000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 9.136e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0:       50000
qintsize: 50000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 41650000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8493125 hash collisions in 29262066 relations (19100316 unique)
Msieve: matrix is 2021920 x 2022145 (570.9 MB)

Sieving start time: 2024/10/27 07:16:55
Sieving end time  : 2024/10/28 06:45:24

Total sieving time: 23hrs 28min 29secs.

Total relation processing time: 1hrs 59min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 56sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

126077857956147655099017957823974623119903840907434570341467178006090710142893933404893036195023152451705551972721198453698347029782778518647757778124716156818308388788005474193028949<183>

4650334866219485374592737308418265823481<40>

27111565421232412170711677515349233662067889440334177007150439205730454072177140049880634040544195768252686507717167471961917632845862692308029<143>

Resuming ECM residue saved by @de9a5e078113 with GMP-ECM 7.0.5-dev on Thu Sep  1 22:57:14 2022 
Input number is 126077857956147655099017957823974623119903840907434570341467178006090710142893933404893036195023152451705551972721198453698347029782778518647757778124716156818308388788005474193028949 (183 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3670961424
Step 1 took 0ms
Step 2 took 6076ms
********** Factor found in step 2: 4650334866219485374592737308418265823481
Found prime factor of 40 digits: 4650334866219485374592737308418265823481
Composite cofactor 27111565421232412170711677515349233662067889440334177007150439205730454072177140049880634040544195768252686507717167471961917632845862692308029 has 143 digits

27111565421232412170711677515349233662067889440334177007150439205730454072177140049880634040544195768252686507717167471961917632845862692308029<143>

40551910761186345940027234774558787017<38>
668564437836104161525290966490677689656729717593329923371512907820096877355810302388886029922903919105237<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2957782011
Step 1 took 5984ms
Step 2 took 3453ms
********** Factor found in step 2: 40551910761186345940027234774558787017
Found prime factor of 38 digits: 40551910761186345940027234774558787017
Prime cofactor 668564437836104161525290966490677689656729717593329923371512907820096877355810302388886029922903919105237 has 105 digits
 

GMP-ECM

15117022794224123257794108324315216700463375032490707778262689864610345213366087374914961393051027140284249860526346408320853175079276616017849347216278628102194636148317347999944117<182>

136652234581944123442736678664887723972140234719978830276342229947120982244932292603345822414591616514786753502568381519805672969814074614446748389040278743158546564567604055254835169936017<189>

67872147471477846123576549290151371426651<41>

2013377205124826467272018480908105473750978148966422446803284390859265702470254241894213785911709058418498703167949184769402879984721839176150190467<148>

Resuming ECM residue saved by @f3e7a26f2811 with GMP-ECM 7.0.5-dev on Fri Sep  2 05:42:56 2022 
Input number is 136652234581944123442736678664887723972140234719978830276342229947120982244932292603345822414591616514786753502568381519805672969814074614446748389040278743158546564567604055254835169936017 (189 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2835743
Step 1 took 0ms
Step 2 took 3113ms
********** Factor found in step 2: 67872147471477846123576549290151371426651
Found prime factor of 41 digits: 67872147471477846123576549290151371426651
Composite cofactor 2013377205124826467272018480908105473750978148966422446803284390859265702470254241894213785911709058418498703167949184769402879984721839176150190467 has 148 digits

5631959290344506561673906286538973298729662545529281537314710303925408968644493978229143693666590697147614339563047565301948205069527649498725816166884881399<157>

263532161670456797616211069<27>

21371051087825823610340146143986498793167915639774255072420729142512861018491457389133996310350823564087778932717416307193073469571<131>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2664896918
Step 1 took 2854ms
Step 2 took 1697ms
********** Factor found in step 2: 263532161670456797616211069
Found prime factor of 27 digits: 263532161670456797616211069
Composite cofactor 21371051087825823610340146143986498793167915639774255072420729142512861018491457389133996310350823564087778932717416307193073469571 has 131 digits

GMP-ECM 7.0.4

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

21371051087825823610340146143986498793167915639774255072420729142512861018491457389133996310350823564087778932717416307193073469571<131>

15171798131626482470381742503535025898684415460575500841503393<62>
1408603706852429256085147184627502159495457112246223464662911161795747<70>

21371051087825823610340146143986498793167915639774255072420729142512861018491457389133996310350823564087778932717416307193073469571=15171798131626482470381742503535025898684415460575500841503393*1408603706852429256085147184627502159495457112246223464662911161795747

cado polynomial
n: 21371051087825823610340146143986498793167915639774255072420729142512861018491457389133996310350823564087778932717416307193073469571
skew: 93230.129
c0: 673106686478021355779604228063
c1: 13805227633608204777711913
c2: -259703403094424566095
c3: 1470111178166733
c4: 14639096042
c5: -127680
Y0: -11090060039163872144361904
Y1: 214598581635255011
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.818e-07
# f(x) = -127680*x^5+14639096042*x^4+1470111178166733*x^3-259703403094424566095*x^2+13805227633608204777711913*x+673106686478021355779604228063
# g(x) = 214598581635255011*x-11090060039163872144361904

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

cado log (extracts)
Info:Square Root: Factors: 15171798131626482470381742503535025898684415460575500841503393 1408603706852429256085147184627502159495457112246223464662911161795747
Info:Square Root: Total cpu/real time for sqrt: 725.66/219.654
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23761958
Info:Lattice Sieving: Average J: 7842.48 for 60942 special-q, max bucket fill -bkmult 1.0,1s:1.072550
Info:Lattice Sieving: Total time: 86409.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.63/10.7474
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5552.67
Info:Polynomial Selection (root optimized): Rootsieve time: 5550.26
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.29/119.27
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.9s
Info:Filtering - Merging: Merged matrix has 1755905 rows and total weight 299502553 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 456.56/128.823
Info:Filtering - Merging: Total cpu/real time for replay: 70.62/59.9991
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 346.07/315.571
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 277.0s
Info:Linear Algebra: Total cpu/real time for bwc: 50490/12946.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32297.19, WCT time 8244.49, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55040 iterations)
Info:Linear Algebra: Lingen CPU time 344.88, WCT time 87.57
Info:Linear Algebra: Mksol: CPU time 17525.16,  WCT time 4489.78, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 68.01/28.1715
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38499/38.640/46.538/49.510/0.842
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30609/37.650/41.814/47.370/1.017
Info:Polynomial Selection (size optimized): Total time: 4818.57
Info:Square Root: Total cpu/real time for sqrt: 725.66/219.654
Info:Filtering - Singleton removal: Total cpu/real time for purge: 206.73/234.264
Info:Generate Free Relations: Total cpu/real time for freerel: 252.79/64.4694
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 225635/60463
Info:root: Cleaning up computation data in /tmp/cado._ggkfdt_
15171798131626482470381742503535025898684415460575500841503393 1408603706852429256085147184627502159495457112246223464662911161795747

cado-nfs-3.0.0

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

4064284620691992294748328688842259020842940143909489985021542854401410880450241243214001523693903802278140240720244929230737833456279732973920954569810521295520245846972266255877441<181>

70037219432057238180512669404279<32>
58030353769751450501645631776941824491598314687323495381840848127735611568780318023899348126111287633111279266330186240228872067024393927413368668679<149>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4064284620691992294748328688842259020842940143909489985021542854401410880450241243214001523693903802278140240720244929230737833456279732973920954569810521295520245846972266255877441 (181 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1580107505
Step 1 took 3101ms
Step 2 took 1872ms
********** Factor found in step 2: 70037219432057238180512669404279
Found prime factor of 32 digits: 70037219432057238180512669404279
Prime cofactor 58030353769751450501645631776941824491598314687323495381840848127735611568780318023899348126111287633111279266330186240228872067024393927413368668679 has 149 digits

GMP-ECM 7.0.4

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

52692955446575507821053479924105047987117719979122321842341408056637441436615710951272859639194402299025883063622267347800855764080276048392335165864957517027967<161>

8393297455512323526987548637303134266971247<43>

6277980224800593683942725976585364590759443340329514112040291542500348760135248380985301185149927335853362501723947761<118>

Resuming ECM residue saved by @de9a5e078113 with GMP-ECM 7.0.5-dev on Thu Sep  1 19:02:46 2022 
Input number is 52692955446575507821053479924105047987117719979122321842341408056637441436615710951272859639194402299025883063622267347800855764080276048392335165864957517027967 (161 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2152391461
Step 1 took 0ms
Step 2 took 3890ms
********** Factor found in step 2: 8393297455512323526987548637303134266971247
Found prime factor of 43 digits: 8393297455512323526987548637303134266971247
Composite cofactor 6277980224800593683942725976585364590759443340329514112040291542500348760135248380985301185149927335853362501723947761 has 118 digits

6277980224800593683942725976585364590759443340329514112040291542500348760135248380985301185149927335853362501723947761<118>

24587850687750659466956045801083375792727766380344503299<56>
255328548417133508188741166055657673709108795326472478609650939<63>

6277980224800593683942725976585364590759443340329514112040291542500348760135248380985301185149927335853362501723947761=24587850687750659466956045801083375792727766380344503299*255328548417133508188741166055657673709108795326472478609650939

cado polynomial
n: 6277980224800593683942725976585364590759443340329514112040291542500348760135248380985301185149927335853362501723947761
skew: 5456.221
c0: 14560849995038543368686246
c1: -4702743830576987321188
c2: -3316398255622134363
c3: -171697830895883
c4: 60604310046
c5: -2734200
Y0: -40122529337489018542736
Y1: 132621332418495481
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.801e-06
# f(x) = -2734200*x^5+60604310046*x^4-171697830895883*x^3-3316398255622134363*x^2-4702743830576987321188*x+14560849995038543368686246
# g(x) = 132621332418495481*x-40122529337489018542736

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: 24587850687750659466956045801083375792727766380344503299 255328548417133508188741166055657673709108795326472478609650939
Info:Square Root: Total cpu/real time for sqrt: 321.03/93.656
Info:Filtering - Merging: Merged matrix has 593238 rows and total weight 60024865 (101.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.48/14.4082
Info:Filtering - Merging: Total cpu/real time for replay: 13.99/11.1285
Info:Generate Free Relations: Total cpu/real time for freerel: 127.72/32.5182
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/1.42221
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13423960
Info:Lattice Sieving: Average J: 1895.58 for 209515 special-q, max bucket fill -bkmult 1.0,1s:1.271080
Info:Lattice Sieving: Total time: 25760.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1167
Info:Polynomial Selection (root optimized): Rootsieve time: 1164.57
Info:Linear Algebra: Total cpu/real time for bwc: 3291.1/856.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1986.41, WCT time 513.7, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Linear Algebra: Lingen CPU time 101.7, WCT time 25.83
Info:Linear Algebra: Mksol: CPU time 1146.0,  WCT time 296.22, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
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): 19914/34.590/42.047/48.020/1.043
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15702/34.010/37.200/42.530/0.823
Info:Polynomial Selection (size optimized): Total time: 2314.09
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 128.1/108.609
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 98.7s
Info:Quadratic Characters: Total cpu/real time for characters: 18.06/6.98826
Info:Square Root: Total cpu/real time for sqrt: 321.03/93.656
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.77/58.4795
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.58/57.5503
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 55947.3/8303.64
Info:root: Cleaning up computation data in /tmp/cado.ppwevl08
24587850687750659466956045801083375792727766380344503299 255328548417133508188741166055657673709108795326472478609650939

cado-nfs-3.0.0

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

275900359992545918113066295869269286258429028995712081066788201524978457178359318282986977319541959738591779921443542475942778206471690224927836983103845365349662135599653176031<177>

80590760716616274302800970136525730816388201603032348004681711465076713408685394649117<86>
3423473826766602761934876417488277455862978851287618998867340090263767926044934518918592043<91>

Number: 30008_220
N = 275900359992545918113066295869269286258429028995712081066788201524978457178359318282986977319541959738591779921443542475942778206471690224927836983103845365349662135599653176031 (177 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=80590760716616274302800970136525730816388201603032348004681711465076713408685394649117 (pp86)
r2=3423473826766602761934876417488277455862978851287618998867340090263767926044934518918592043 (pp91)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 40.01 hours.
Factorization parameters were as follows:
n: 275900359992545918113066295869269286258429028995712081066788201524978457178359318282986977319541959738591779921443542475942778206471690224927836983103845365349662135599653176031
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3
c0: 8
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: 31599162
Relations: 6823010 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.74 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6182929 x 6183155
Matrix solve time: 21.65 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 40.01 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

374478521140110000409953950014224525513436363883943159446930187929544216176145180777890889193175500504052944030586043627742035227695705077287717265191758143378684289974956472932890395376229<189>

65845594577606058214711667584310008450746560188473978409588801060158107092153816942279272977928368794472381541829688363729403319813622827176731894501489214688129235659888157<173>

3699452465245660576692549410791<31>

17798740542334177376348798121436215181511942800925312470419659889422125909383074371064744471925496877608164230445190470297932781597328394004827<143>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:849820361
Step 1 took 3192ms
Step 2 took 1609ms
********** Factor found in step 2: 3699452465245660576692549410791
Found prime factor of 31 digits: 3699452465245660576692549410791
Composite cofactor 17798740542334177376348798121436215181511942800925312470419659889422125909383074371064744471925496877608164230445190470297932781597328394004827 has 143 digits

GMP-ECM 7.0.4

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

17798740542334177376348798121436215181511942800925312470419659889422125909383074371064744471925496877608164230445190470297932781597328394004827<143>

563050207847381147902166268619658850531087634192469<51>
31611284916102287264552250152788827449917155270109978653542929328182967018224194984895507183<92>

17798740542334177376348798121436215181511942800925312470419659889422125909383074371064744471925496877608164230445190470297932781597328394004827=563050207847381147902166268619658850531087634192469*31611284916102287264552250152788827449917155270109978653542929328182967018224194984895507183

cado polynomial
n: 17798740542334177376348798121436215181511942800925312470419659889422125909383074371064744471925496877608164230445190470297932781597328394004827
skew: 110272.774
c0: -26542824774498796700136218662980
c1: -2828264791435877669527596642
c2: -8405482100528215568333
c3: 461852124919630419
c4: -100043304090
c5: 2175000
Y0: -2413204780378073915086180657
Y1: 4985019125445615809
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 2.155e-07
# f(x) = 2175000*x^5-100043304090*x^4+461852124919630419*x^3-8405482100528215568333*x^2-2828264791435877669527596642*x-26542824774498796700136218662980
# g(x) = 4985019125445615809*x-2413204780378073915086180657

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

cado log (extracts)
Info:Square Root: Factors: 563050207847381147902166268619658850531087634192469 31611284916102287264552250152788827449917155270109978653542929328182967018224194984895507183
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 4482.61/921.205
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 842.54/170.938
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 153.7s
Info:Linear Algebra: Total cpu/real time for bwc: 117033/59067.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 76182.57, WCT time 38675.6, iteration CPU time 0.37, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (98816 iterations)
Info:Linear Algebra: Lingen CPU time 956.09, WCT time 166.71
Info:Linear Algebra: Mksol: CPU time 39068.17,  WCT time 19744.16, iteration CPU time 0.38, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49664 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46721692
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Square Root: Total cpu/real time for sqrt: 4482.61/921.205
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 298.93/83.4094
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 83.3s
Info:Quadratic Characters: Total cpu/real time for characters: 157.45/41.4192
Info:Generate Free Relations: Total cpu/real time for freerel: 702.69/89.1421
Info:Filtering - Singleton removal: Total cpu/real time for purge: 316.27/104.323
Info:Generate Factor Base: Total cpu/real time for makefb: 23.96/4.45382
Info:Filtering - Merging: Merged matrix has 3154874 rows and total weight 540201333 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1671.23/233.567
Info:Filtering - Merging: Total cpu/real time for replay: 126.67/110.05
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 125655/60909.6
Info:root: Cleaning up computation data in /tmp/cado.i3qxm13v
563050207847381147902166268619658850531087634192469 31611284916102287264552250152788827449917155270109978653542929328182967018224194984895507183

cado-nfs-3.0.0

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

36891860861309418716492390345275395667062170875601611915663384999467062149006677087446094888872259814440425718439308428075112687806814725055689957058154905188714264202527962908570467598811872738296621707266880189<212>

2637840786234617940755860541731<31>

13985628341872237392399438640776134807174370384089860817590720297422911577022152331749724786692136314612213852442314287915914848943861054883842862840588022993006509784655118537628319<182>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 36891860861309418716492390345275395667062170875601611915663384999467062149006677087446094888872259814440425718439308428075112687806814725055689957058154905188714264202527962908570467598811872738296621707266880189 (212 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1672800927
Step 1 took 2772ms
Step 2 took 1548ms
********** Factor found in step 2: 2637840786234617940755860541731
Found prime factor of 31 digits: 2637840786234617940755860541731
Composite cofactor 13985628341872237392399438640776134807174370384089860817590720297422911577022152331749724786692136314612213852442314287915914848943861054883842862840588022993006509784655118537628319 has 182 digits

GMP-ECM 7.0.4

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

518553387869324345750479763565011684512392997547833906908241746313179829007098205166213659252796885540019914834700171378810794123662422693152811545107277112294089725909390588268399188341<186>

4970085255634686716147086313<28>

104334907994069080735762081872305858073014783580831846359466892462325726797912459158546651999880945288739707101313643405177506270081701561568267870991026224557<159>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 518553387869324345750479763565011684512392997547833906908241746313179829007098205166213659252796885540019914834700171378810794123662422693152811545107277112294089725909390588268399188341 (186 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:884376299
Step 1 took 3425ms
Step 2 took 1940ms
********** Factor found in step 2: 4970085255634686716147086313
Found prime factor of 28 digits: 4970085255634686716147086313
Composite cofactor 104334907994069080735762081872305858073014783580831846359466892462325726797912459158546651999880945288739707101313643405177506270081701561568267870991026224557 has 159 digits

GMP-ECM 7.0.4

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

104334907994069080735762081872305858073014783580831846359466892462325726797912459158546651999880945288739707101313643405177506270081701561568267870991026224557<159>

4121417373021841953937631475162473<34>
25315297760675534758113900348803575751854625744118041066032655387107750616817520099470969766012925548846306263089261757555109<125>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 104334907994069080735762081872305858073014783580831846359466892462325726797912459158546651999880945288739707101313643405177506270081701561568267870991026224557 (159 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1632887443
Step 1 took 1962ms
Step 2 took 1176ms
********** Factor found in step 2: 4121417373021841953937631475162473
Found prime factor of 34 digits: 4121417373021841953937631475162473
Prime cofactor 25315297760675534758113900348803575751854625744118041066032655387107750616817520099470969766012925548846306263089261757555109 has 125 digits

GMP-ECM 7.0.4

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

17468847786232651219893482614278771851937636290137889903250840559458687985361348563314365497703961442134171367271482485260983298556049559651544088232043511448875987800916226835054961225349<188>

1334510576231237028062786401<28>

13090078188489186197710388538365368168373103129399161876810011710748276670129151088800533353507936847255907981768675236441761601461920957613277673842012963811749<161>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 17468847786232651219893482614278771851937636290137889903250840559458687985361348563314365497703961442134171367271482485260983298556049559651544088232043511448875987800916226835054961225349 (188 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:89843274
Step 1 took 2391ms
********** Factor found in step 1: 1334510576231237028062786401
Found prime factor of 28 digits: 1334510576231237028062786401
Composite cofactor 13090078188489186197710388538365368168373103129399161876810011710748276670129151088800533353507936847255907981768675236441761601461920957613277673842012963811749 has 161 digits

GMP-ECM 7.0.4

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

6671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410780999822095712506671410781<226>

116561585810184660907872888259153024058496995631581878243690634051392018017015326798116122545699527982934121411116737870611394101742476391928277573063646642301435532546470384403159666336662060062615521937<204>

27008883968975060212418207<26>
4315675758542198243339893999469950343361179303072132196759010485728199650662476790798063559377437436821410128876908844146616335172852718298884017303159058699569892730965176029391<178>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 116561585810184660907872888259153024058496995631581878243690634051392018017015326798116122545699527982934121411116737870611394101742476391928277573063646642301435532546470384403159666336662060062615521937 (204 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1124061645
Step 1 took 3529ms
Step 2 took 1984ms
********** Factor found in step 2: 27008883968975060212418207
Found prime factor of 26 digits: 27008883968975060212418207
Prime cofactor 4315675758542198243339893999469950343361179303072132196759010485728199650662476790798063559377437436821410128876908844146616335172852718298884017303159058699569892730965176029391 has 178 digits

GMP-ECM 7.0.4

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

27827041948338169054845244544044641995829653980009053064313859350999176319558329190195976580761496278596923442242191732029296309763210424380941073455970199093209459710153531066109631124731932829231008971438324144225703282106841<227>

1366815871270052658281340685596194198559859951415613051985086605645922649375808806041024734755453321979852122458729727422543509738621469317189224441915772929130479497185345489265732547940763567309171266236188464167<214>

390600837630545558265419<24>
6499291614029480776949804074138153<34>

538407150753029291743800231788190275572023675633284732372040133932453304549462603813931578759195700106825645534131570243525049860549134285742065711080813581<156>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Input number is 1366815871270052658281340685596194198559859951415613051985086605645922649375808806041024734755453321979852122458729727422543509738621469317189224441915772929130479497185345489265732547940763567309171266236188464167 (214 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:719070200
Step 1 took 4231ms
********** Factor found in step 1: 390600837630545558265419
Found prime factor of 24 digits: 390600837630545558265419
Composite cofactor 3499265079822669722046369876153920858521277525149229364475600914559960824225111592708316664241848938638419087122572398508505824427332840220405111010392776251451602591617606142651276632655893 has 190 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1330485727
Step 1 took 3450ms
Step 2 took 1868ms
********** Factor found in step 2: 6499291614029480776949804074138153
Found prime factor of 34 digits: 6499291614029480776949804074138153
Composite cofactor 538407150753029291743800231788190275572023675633284732372040133932453304549462603813931578759195700106825645534131570243525049860549134285742065711080813581 has 156 digits

GMP-ECM 7.0.4

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

538407150753029291743800231788190275572023675633284732372040133932453304549462603813931578759195700106825645534131570243525049860549134285742065711080813581<156>

52033885185869879698607417787994295459387559012208447<53>
10347241010925646813236283562959499597482198079477557425410762104712274922792339812770557183511768511923<104>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 538407150753029291743800231788190275572023675633284732372040133932453304549462603813931578759195700106825645534131570243525049860549134285742065711080813581 (156 digits)
[Fri Apr 26 15:54:01 2024]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:755520337876428996
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Writing checkpoint to checkpnt at p = 110000000
Step 1 took 245141ms
Using 20 small primes for NTT
Estimated memory usage: 472.20MB
Initializing tables of differences for F took 172ms
Computing roots of F took 8531ms
Building F from its roots took 4297ms
Computing 1/F took 1593ms
Initializing table of differences for G took 141ms
Computing roots of G took 7313ms
Building G from its roots took 4250ms
Computing roots of G took 7360ms
Building G from its roots took 4078ms
Computing G * H took 907ms
Reducing  G * H mod F took 843ms
Computing roots of G took 7063ms
Building G from its roots took 4094ms
Computing G * H took 985ms
Reducing  G * H mod F took 875ms
Computing roots of G took 7234ms
Building G from its roots took 4234ms
Computing G * H took 891ms
Reducing  G * H mod F took 921ms
Computing polyeval(F,G) took 8156ms
Computing product of all F(g_i) took 32ms
Step 2 took 74344ms
********** Factor found in step 2: 52033885185869879698607417787994295459387559012208447
Found prime factor of 53 digits: 52033885185869879698607417787994295459387559012208447
Prime cofactor 10347241010925646813236283562959499597482198079477557425410762104712274922792339812770557183511768511923 has 104 digits
Peak memory usage: 617MB

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

11676262202749384743678114353811343059262867826076541637044630778939227379668140259263205414636264530258373053133546289837359051807882064182766228626571687497678544796906171897942762034445204972899187691541<206>

49475292099566254359576840471256831<35>

236001885127864652515795312218952842080245855678397351205705912574511349628209094661716802180042802198896265636227131142637092811537926274189047982118081907385353790514411<171>

Resuming ECM residue saved by @de9a5e078113 with GMP-ECM 7.0.5-dev on Thu Sep  1 17:22:00 2022 
Input number is 11676262202749384743678114353811343059262867826076541637044630778939227379668140259263205414636264530258373053133546289837359051807882064182766228626571687497678544796906171897942762034445204972899187691541 (206 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2710310942
Step 1 took 0ms
Step 2 took 5022ms
********** Factor found in step 2: 49475292099566254359576840471256831
Found prime factor of 35 digits: 49475292099566254359576840471256831
Composite cofactor 236001885127864652515795312218952842080245855678397351205705912574511349628209094661716802180042802198896265636227131142637092811537926274189047982118081907385353790514411 has 171 digits

819240321026214879362834112128803127767167900091723086967912415690357702959088388127482370672629680548501924304145483643752720037453657012035016216783407299308452565374967046760574871132647<189>

35528146692210727053590345042658353018415056938321524745810692517794047295982146809872849430870867341576819582925120509690853822415095716451729551411485753395521023492872322778927264601412106587392554752567177661<212>

2807448938639669226881350367<28>

12654957389688325025526067983848935667267456949019155233283079915226325435247921330389178983861803986858065443266352149995862284655732334987641117754135437080862736802263319838680531683<185>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 35528146692210727053590345042658353018415056938321524745810692517794047295982146809872849430870867341576819582925120509690853822415095716451729551411485753395521023492872322778927264601412106587392554752567177661 (212 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1154043989
Step 1 took 4796ms
Step 2 took 2472ms
********** Factor found in step 2: 2807448938639669226881350367
Found prime factor of 28 digits: 2807448938639669226881350367
Composite cofactor 12654957389688325025526067983848935667267456949019155233283079915226325435247921330389178983861803986858065443266352149995862284655732334987641117754135437080862736802263319838680531683 has 185 digits

GMP-ECM 7.0.4

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

6410136973516219954192306502323290044681218760197459568702053243794260927445967246080372177680791930543516368669370092078626227306192072660526496172977289824856254815081223272933888924120900995178038563042158701658379356692328296789<232>

143927895653163179404744079174855316781025341<45>

44537140937315864850089639620934637145590537034166032949775885116264757800856319312065901894187784161659355204231277105711635562598301702896600835528041486088580385628258268422552482055929<188>

Resuming ECM residue saved by @f3e7a26f2811 with GMP-ECM 7.0.5-dev on Fri Sep  2 05:47:24 2022 
Input number is 6410136973516219954192306502323290044681218760197459568702053243794260927445967246080372177680791930543516368669370092078626227306192072660526496172977289824856254815081223272933888924120900995178038563042158701658379356692328296789 (232 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1745317406
Step 1 took 0ms
Step 2 took 6065ms
********** Factor found in step 2: 143927895653163179404744079174855316781025341
Found prime factor of 45 digits: 143927895653163179404744079174855316781025341
Composite cofactor 44537140937315864850089639620934637145590537034166032949775885116264757800856319312065901894187784161659355204231277105711635562598301702896600835528041486088580385628258268422552482055929 has 188 digits

245115681134392166935082217701736762367417857610263797451269218561752627685005155952855203521323300964787607515553839144486530031247526854412411794561735807201167599400281555694581324883311498718141040658863738919192518218403077<228>

6400555736645053439616807645249491861605338544724637825422623127574002042451360312376372408961052820039646496535904135284286363398015665872729890538836412683396829298285837380395997174987624394023138791942412627<211>

7227557114020897345492726686440112388257581450070923822866058762591803439315888444346483384595733868665786361610664769652676846282477689663674727386455811253277213211779625230062219462279470873545330058332311307708447311<220>

85933953060450765263501<23>