101403590972607820966539664339414397530065026048300936263430868859499340102684488801238821344985278198177905577384154996109518189557<132>

364209184471360429801010108278639999330854319<45>
278421290006160421378842022337771313594062645696665330680648931524378440805172852821403<87>

p45:364209184471360429801010108278639999330854319
p87:278421290006160421378842022337771313594062645696665330680648931524378440805172852821403

ECM

127366509917408598431550277964362855918106599077324173201697997945180657085806108831458620991264795909838970342790019097651<123>

1449329589515823329893192707848793312100018044026079539<55>
87879603672452345575849457322224927748123774016721514800454535166209<68>

p55:1449329589515823329893192707848793312100018044026079539
p68:87879603672452345575849457322224927748123774016721514800454535166209

ECM

12518347854142504404760919452047434408187669817187623924161830699430618436634026841543357134896698712578686494401488281954295874401<131>

2055095314863607220638173300356608979368091652313<49>
6091370927471227005197346861168219748898989269025502872452266741676687828167455177<82>

p49:2055095314863607220638173300356608979368091652313
p82:6091370927471227005197346861168219748898989269025502872452266741676687828167455177

ECM

68914029747889507838970883822431516682938034801585022684201458680296330327915924883707574800436455521736633549646815597542066272325274220410038477<146>

400191876530120171761464779587803842308477<42>
172202470338507083250667899225644423186237310297330581787949493677514123253687258398009139749293982490001<105>

p42:400191876530120171761464779587803842308477
p105:172202470338507083250667899225644423186237310297330581787949493677514123253687258398009139749293982490001

ECM

48582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048583<149>

1698895577254151465437589691131739191265472055065337440597<58>
28596811129463010305540396064883871509140069995906953643338670774160451646130111919609024939<92>

p58:1698895577254151465437589691131739191265472055065337440597
p92:28596811129463010305540396064883871509140069995906953643338670774160451646130111919609024939

64171122994652406417112299465240641711229946524064171122994652406417112299465240641711229946524064171122994652406417112299465240641711229946524064171123<152>

3551781879724641684838362577684094087562152897761<49>
18067304009002768156625766383885546829310640928084980018756291417268226889334001162993916702604408383443<104>

p49:3551781879724641684838362577684094087562152897761
p104:18067304009002768156625766383885546829310640928084980018756291417268226889334001162993916702604408383443

ECM

16610413210522970254356838261796948534768282195305336304927461015238224312602718861327073909207431907742042506377609<116>

54860591058329183663586746177272849741460066108117955361<56>
302774959038672296837909892186151688700874095573763477905769<60>

p56:54860591058329183663586746177272849741460066108117955361
p60:302774959038672296837909892186151688700874095573763477905769

GNFS

480771464456134058064959438796446227369475618444406498275442233518330772685016706150957291023988287323131242572886817913480529765794271<135>

140910495856650342271499205822703369<36>
3411892503346434041550095098389391877212102410483839879943320210627813068183499994430392404827419559<100>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2427769648 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 480771464456134058064959438796446227369475618444406498275442233518330772685016706150957291023988287323131242572886817913480529765794271 (135 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2427769648
Step 1 took 4765ms
Step 2 took 4297ms
********** Factor found in step 2: 140910495856650342271499205822703369
Found probable prime factor of 36 digits: 140910495856650342271499205822703369
Probable prime cofactor 3411892503346434041550095098389391877212102410483839879943320210627813068183499994430392404827419559 has 100 digits

295007770759728321056210076139876477255839961598814486240809323543021817119419578987162057032108289122302768579868566457361023782024080283158726809<147>

466093289363619679662721852099860302898869<42>
49681494489951373160964086555072888105164669962899<50>
12739898093572621129299693669224735046452960239859534839<56>

Number: 1
N=295007770759728321056210076139876477255839961598814486240809323543021817119419578987162057032108289122302768579868566457361023782024080283158726809
  ( 147 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=466093289363619679662721852099860302898869 (pp42)
 r2=49681494489951373160964086555072888105164669962899 (pp50)
 r3=12739898093572621129299693669224735046452960239859534839 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.84 hours.
Scaled time: 92.22 units (timescale=7.788).
Factorization parameters were as follows:
n: 295007770759728321056210076139876477255839961598814486240809323543021817119419578987162057032108289122302768579868566457361023782024080283158726809
m: 10000000000000000000000000000000
deg: 5
c5: 1200
c0: 1
skew: 0.24
# Murphy_E = 8.99e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 445944 x 446169
Total sieving time: 11.74 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 11.84 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

1747371795628865006229002596542929638391032101630772378528790382022768690421732336043574235329930243233865565984919415018148553635894713862694109<145>

34014157228439924143903864645357135516788258091147<50>
51371897410054074212329838899618976019837811192057588903769993799951782921084962979268515726647<95>

Number: n
N=1747371795628865006229002596542929638391032101630772378528790382022768690421732336043574235329930243233865565984919415018148553635894713862694109  ( 145 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sat Oct 15 13:30:57 2022  p50 factor: 34014157228439924143903864645357135516788258091147
Sat Oct 15 13:30:57 2022  p95 factor: 51371897410054074212329838899618976019837811192057588903769993799951782921084962979268515726647
Sat Oct 15 13:30:57 2022  elapsed time 00:06:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 6x10^163+5 = 60(162)5
#
n: 1747371795628865006229002596542929638391032101630772378528790382022768690421732336043574235329930243233865565984919415018148553635894713862694109
m: 100000000000000000000000000000000
deg: 5
c5: 1200
c0: 1
skew: 0.24
# Murphy_E = 5.752e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1265278 hash collisions in 13705149 relations (13322482 unique)
Msieve: matrix is 433531 x 433760 (148.5 MB)

Sieving start time : 2022/10/15 13:02:03
Sieving end time  : 2022/10/15 13:24:14

Total sieving time: 0hrs 22min 11secs.

Total relation processing time: 0hrs 2min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 26sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1222904659807425311209110959359505667213767159208266138977454270652598440087451290627470446209737729076073917823900435523727581844940841095808366807<148>

47945211291946580552999472567631433<35>
25506294098089378868157762014609950392696476240298651455254784572082248970229203031591506337188373716839461109279<113>

Number: n
N=1222904659807425311209110959359505667213767159208266138977454270652598440087451290627470446209737729076073917823900435523727581844940841095808366807  ( 148 digits)
SNFS difficulty: 164 digits.
Divisors found:

Sat Oct 15 05:08:33 2022  p35 factor: 47945211291946580552999472567631433
Sat Oct 15 05:08:33 2022  p113 factor: 25506294098089378868157762014609950392696476240298651455254784572082248970229203031591506337188373716839461109279
Sat Oct 15 05:08:33 2022  elapsed time 00:07:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 6x10^164+5 = 60(163)5
#
n: 1222904659807425311209110959359505667213767159208266138977454270652598440087451290627470446209737729076073917823900435523727581844940841095808366807
m: 200000000000000000000000000000000
deg: 5
c5: 375
c0: 1
skew: 0.31
# Murphy_E = 5.613e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1610605 hash collisions in 17627784 relations (16778111 unique)
Msieve: matrix is 434211 x 434436 (145.7 MB)

Sieving start time : 2022/10/15 04:27:37
Sieving end time  : 2022/10/15 05:01:07

Total sieving time: 0hrs 33min 30secs.

Total relation processing time: 0hrs 2min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1584047816150037683591751301486135935380974158074761029253652767932142584255285804722665252112166655203786025808021361330618677451421189379741157811<148>

635119397727623847572190340232884257982646523713483373137781007<63>
2494094530599378033211408662294285314552126611864090412202237595502334094082018034973<85>

Number: n
N=1584047816150037683591751301486135935380974158074761029253652767932142584255285804722665252112166655203786025808021361330618677451421189379741157811  ( 148 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sat Oct 15 04:20:01 2022  p63 factor: 635119397727623847572190340232884257982646523713483373137781007
Sat Oct 15 04:20:01 2022  p85 factor: 2494094530599378033211408662294285314552126611864090412202237595502334094082018034973
Sat Oct 15 04:20:01 2022  elapsed time 00:06:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 6x10^165+5 = 60(164)5
#
n: 1584047816150037683591751301486135935380974158074761029253652767932142584255285804722665252112166655203786025808021361330618677451421189379741157811
m: 1000000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 5.537e-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 1249358 hash collisions in 13705854 relations (13343702 unique)
Msieve: matrix is 458222 x 458449 (158.2 MB)

Sieving start time : 2022/10/15 03:50:05
Sieving end time  : 2022/10/15 04:12:53

Total sieving time: 0hrs 22min 48secs.

Total relation processing time: 0hrs 3min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2237440964187892834035951947226225791354901021205346738090754334575734579836554937566074428473673710255124205941524480400949420782470395859242588942939661810798263<163>

1575359039432963775313395678635796494884696193<46>
10819073332516991299939203193502893006486504808783913623<56>
131274983184671411201870054389218910534624006350259767156766817<63>

Number: n
N=2237440964187892834035951947226225791354901021205346738090754334575734579836554937566074428473673710255124205941524480400949420782470395859242588942939661810798263  ( 163 digits)
SNFS difficulty: 168 digits.
Divisors found:

Fri Oct  7 23:10:05 2022  found factor: 10819073332516991299939203193502893006486504808783913623
Fri Oct  7 23:10:48 2022  found factor: 10819073332516991299939203193502893006486504808783913623
Fri Oct  7 23:12:14 2022  found factor: 10819073332516991299939203193502893006486504808783913623
Fri Oct  7 23:13:40 2022  found factor: 10819073332516991299939203193502893006486504808783913623
Fri Oct  7 23:14:22 2022  found factor: 10819073332516991299939203193502893006486504808783913623
Fri Oct  7 23:15:48 2022  found factor: 10819073332516991299939203193502893006486504808783913623
Fri Oct  7 23:17:13 2022  p46 factor: 1575359039432963775313395678635796494884696193
Fri Oct  7 23:17:13 2022  p56 factor: 10819073332516991299939203193502893006486504808783913623
Fri Oct  7 23:17:13 2022  p63 factor: 131274983184671411201870054389218910534624006350259767156766817
Fri Oct  7 23:17:13 2022  elapsed time 00:16:10 (Msieve 1.54 - dependency 11)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 6x10^168+5 = 60(167)5
#
n: 2237440964187892834035951947226225791354901021205346738090754334575734579836554937566074428473673710255124205941524480400949420782470395859242588942939661810798263
m: 1000000000000000000000000000000000
deg: 5
c5: 1200
c0: 1
skew: 0.24
# Murphy_E = 3.662e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1088949 hash collisions in 12282045 relations (11977411 unique)
Msieve: matrix is 603989 x 604217 (209.7 MB)

Sieving start time : 2022/10/07 22:34:40
Sieving end time  : 2022/10/07 23:00:45

Total sieving time: 0hrs 26min 5secs.

Total relation processing time: 0hrs 5min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 51sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

246073554682044686541763595412920606504033119290652741978869603653876522313672775386122361817578636946457574955320191121343804299390199661934223<144>

5014468040388240608801871570919602004315583021371<49>
49072713735551631172728157393663268107267267903756980864437544058104426997071419572008047348413<95>

Number: n
N=246073554682044686541763595412920606504033119290652741978869603653876522313672775386122361817578636946457574955320191121343804299390199661934223  ( 144 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sun Oct 16 01:51:34 2022  p49 factor: 5014468040388240608801871570919602004315583021371
Sun Oct 16 01:51:34 2022  p95 factor: 49072713735551631172728157393663268107267267903756980864437544058104426997071419572008047348413
Sun Oct 16 01:51:34 2022  elapsed time 00:08:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 6x10^169+5 = 60(168)5
#
n: 246073554682044686541763595412920606504033119290652741978869603653876522313672775386122361817578636946457574955320191121343804299390199661934223
m: 2000000000000000000000000000000000
deg: 5
c5: 375
c0: 1
skew: 0.31
# Murphy_E = 3.569e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1315343 hash collisions in 13705078 relations (13259697 unique)
Msieve: matrix is 555780 x 556007 (191.8 MB)

Sieving start time : 2022/10/16 00:33:46
Sieving end time  : 2022/10/16 01:42:33

Total sieving time: 1hrs 8min 47secs.

Total relation processing time: 0hrs 4min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 35sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

138928605747244872087274950130419228645226123671929359434931050890706023597023686169541524023650279651705985391657105677201700023038993786418107954473095896627855417<165>

1186993120433845380185505250941800192505923950441214901811903387<64>
117042469206954238737570439466088306587862260104895099125255187936412590187625497782690175498514645691<102>

Number: n
N=138928605747244872087274950130419228645226123671929359434931050890706023597023686169541524023650279651705985391657105677201700023038993786418107954473095896627855417  ( 165 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Oct  7 22:32:21 2022  p64 factor: 1186993120433845380185505250941800192505923950441214901811903387
Fri Oct  7 22:32:21 2022  p102 factor: 117042469206954238737570439466088306587862260104895099125255187936412590187625497782690175498514645691
Fri Oct  7 22:32:21 2022  elapsed time 00:08:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 6x10^170+5 = 60(169)5
#
n: 138928605747244872087274950130419228645226123671929359434931050890706023597023686169541524023650279651705985391657105677201700023038993786418107954473095896627855417
m: 10000000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 3.513e-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 1109346 hash collisions in 12689646 relations (12398353 unique)
Msieve: matrix is 598228 x 598455 (208.7 MB)

Sieving start time : 2022/10/07 21:50:44
Sieving end time  : 2022/10/07 22:23:09

Total sieving time: 0hrs 32min 25secs.

Total relation processing time: 0hrs 5min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

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) ----------

218750872581105633407271419808431380950104727939340858462316946187966142251034280039286906640609984816742008656486772594424957527761<132>

1564822040906480092399865429638886200936301921254099253165466793<64>
139792811490810950445358080249761051987137320556627103635106480447977<69>

Number: 1
N=218750872581105633407271419808431380950104727939340858462316946187966142251034280039286906640609984816742008656486772594424957527761
  ( 132 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1564822040906480092399865429638886200936301921254099253165466793 (pp64)
 r2=139792811490810950445358080249761051987137320556627103635106480447977 (pp69)
Version: Msieve v. 1.52 (SVN 927)
Total time: 27.89 hours.
Scaled time: 219.11 units (timescale=7.855).
Factorization parameters were as follows:
n: 218750872581105633407271419808431380950104727939340858462316946187966142251034280039286906640609984816742008656486772594424957527761
m: 10000000000000000000000000000000000
deg: 5
c5: 12
c0: 1
skew: 0.61
# Murphy_E = 3.247e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 4500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 868408 x 868637
Total sieving time: 27.67 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 27.89 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

99173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446281<176>

252786326328687701345715411046168217774085836035657526707<57>
392321670081383106678198937416307829842490923321381614937342516658902826399951988773041704365254973327890812935268852883<120>

Number: n
N=99173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446281  ( 176 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat Oct  8 08:56:09 2022  p57 factor: 252786326328687701345715411046168217774085836035657526707
Sat Oct  8 08:56:09 2022  p120 factor: 392321670081383106678198937416307829842490923321381614937342516658902826399951988773041704365254973327890812935268852883
Sat Oct  8 08:56:09 2022  elapsed time 00:18:03 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 6x10^178+5 = 60(177)5
#
n: 99173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446281
m: 100000000000000000000000000000000000
deg: 5
c5: 1200
c0: 1
skew: 0.24
# Murphy_E = 1.463e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1449288 hash collisions in 12374527 relations (11629917 unique)
Msieve: matrix is 903513 x 903739 (313.8 MB)

Sieving start time : 2022/10/08 07:33:42
Sieving end time  : 2022/10/08 08:37:43

Total sieving time: 1hrs 4min 1secs.

Total relation processing time: 0hrs 12min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 14sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

13329395410853184287153349783534322426606463867486434683166415360559150397124340371651118673604482413843692655873227941137209934731581981<137>

35114856568068937624603626013151821<35>
188006721658806098644148897057507386633525395837739<51>
2019045825006037621457881216395005165404365634181299<52>

p35:35114856568068937624603626013151821
p51:188006721658806098644148897057507386633525395837739
p52:2019045825006037621457881216395005165404365634181299

ECM

296497757785505220083452189265004939404618527524438454572994995127040906292255341253306804201716180465441407682212886725204320921014304959501340651721<150>

365246730139245419578796152778215363428046573<45>
811773886853057998918944282233181734991985505431530771308610966487281223032639083197856129853733476387277<105>

Number: n
N=296497757785505220083452189265004939404618527524438454572994995127040906292255341253306804201716180465441407682212886725204320921014304959501340651721  ( 150 digits)
SNFS difficulty: 180 digits.
Divisors found:

Thu Oct 13 22:40:02 2022  p45 factor: 365246730139245419578796152778215363428046573
Thu Oct 13 22:40:02 2022  p105 factor: 811773886853057998918944282233181734991985505431530771308610966487281223032639083197856129853733476387277
Thu Oct 13 22:40:02 2022  elapsed time 00:12:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.296).
Factorization parameters were as follows:
#
# N = 6x10^180+5 = 60(179)5
#
n: 296497757785505220083452189265004939404618527524438454572994995127040906292255341253306804201716180465441407682212886725204320921014304959501340651721
m: 1000000000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 1.395e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1218394 hash collisions in 13735676 relations (13417925 unique)
Msieve: matrix is 750727 x 750953 (262.1 MB)

Sieving start time : 2022/10/13 20:03:26
Sieving end time  : 2022/10/13 22:26:53

Total sieving time: 2hrs 23min 27secs.

Total relation processing time: 0hrs 8min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 45sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

168729509044248412966205485970313140015158311724155714192114587538973138388094437478145302504404042872034653550605752728330341589701<132>

31732400323403797433169566174331423362866444923727429145901721<62>
5317262713334807941533879651155138305108115478575443926919624728154381<70>

168729509044248412966205485970313140015158311724155714192114587538973138388094437478145302504404042872034653550605752728330341589701=31732400323403797433169566174331423362866444923727429145901721*5317262713334807941533879651155138305108115478575443926919624728154381

cado polynomial
n: 168729509044248412966205485970313140015158311724155714192114587538973138388094437478145302504404042872034653550605752728330341589701
skew: 0.96
type: snfs
c0: 5
c5: 6
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 6*x^5+5
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8700000
tasks.lim1 = 8700000
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: 31732400323403797433169566174331423362866444923727429145901721 5317262713334807941533879651155138305108115478575443926919624728154381
Info:Square Root: Total cpu/real time for sqrt: 313.4/100.639
Info:Generate Factor Base: Total cpu/real time for makefb: 3.69/2.15247
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.03/96.8612
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 96.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 107.14/114.399
Info:Filtering - Merging: Merged matrix has 1293154 rows and total weight 220618456 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 327.74/90.9343
Info:Filtering - Merging: Total cpu/real time for replay: 48.74/41.3863
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22424043
Info:Lattice Sieving: Average J: 1895.05 for 852402 special-q, max bucket fill -bkmult 1.0,1s:1.142260
Info:Lattice Sieving: Total time: 220022s
Info:Linear Algebra: Total cpu/real time for bwc: 26754.6/6884.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17015.98, WCT time 4344.84, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Linear Algebra: Lingen CPU time 244.34, WCT time 61.99
Info:Linear Algebra: Mksol: CPU time 9270.6,  WCT time 2395.21, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.25/30.7696
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 219.29/182.706
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 167.8s
Info:Quadratic Characters: Total cpu/real time for characters: 46.38/21.0744
Info:Square Root: Total cpu/real time for sqrt: 313.4/100.639
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 455026/26302.8
Info:root: Cleaning up computation data in /tmp/cado.5uz4ts0p
31732400323403797433169566174331423362866444923727429145901721 5317262713334807941533879651155138305108115478575443926919624728154381

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)

6417112299465240641711229946524064171122994652406417112299465240641711229946524064171122994652406417112299465240641711229946524064171122994652406417112299465240641711229946524064171123<184>

12135181431486818901538683940466672164693<41>
528802336882655682887163124315351433147211206454724730994411746529944203946654755317836397335420272568072223363183245101254640939720347629241511<144>

p41:12135181431486818901538683940466672164693
p144:528802336882655682887163124315351433147211206454724730994411746529944203946654755317836397335420272568072223363183245101254640939720347629241511

ECM

37617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169279<188>

151549734266838826633082393496169721413982951259605443<54>
248219206987850254745842690109840428326866332700745608511606008094380691324810525817232816415501056054054983389520808390343947872205653<135>

Number: n
N=37617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169279  ( 188 digits)
SNFS difficulty: 190 digits.
Divisors found:

Mon Oct 17 10:19:51 2022  p54 factor: 151549734266838826633082393496169721413982951259605443
Mon Oct 17 10:19:51 2022  p135 factor: 248219206987850254745842690109840428326866332700745608511606008094380691324810525817232816415501056054054983389520808390343947872205653
Mon Oct 17 10:19:51 2022  elapsed time 00:39:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 6x10^190+5 = 60(189)5
#
n: 37617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169278996865203761755485893416927899686520376175548589341692789968652037617554858934169279
m: 100000000000000000000000000000000000000
deg: 5
c5: 6
c0: 5
skew: 0.96
# Murphy_E = 5.443e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1189428 hash collisions in 12471721 relations (12062711 unique)
Msieve: matrix is 1380425 x 1380649 (486.3 MB)

Sieving start time : 2022/10/17 07:21:30
Sieving end time  : 2022/10/17 09:39:52

Total sieving time: 2hrs 18min 22secs.

Total relation processing time: 0hrs 34min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 37sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

311019341188686257552798197606146655821555289711336904761645741475218899122349700915200748976383956657654727568019195427899448506976586776904935310800356685993<159>

4597409495993085528491194604520661198088073118363377855780246179942119144981<76>
67650998123999617816917834160798116210993453736735703270954302063006174158528842053<83>

Number: n
N=311019341188686257552798197606146655821555289711336904761645741475218899122349700915200748976383956657654727568019195427899448506976586776904935310800356685993  ( 159 digits)
SNFS difficulty: 191 digits.
Divisors found:

Mon Oct 24 08:55:01 2022  p76 factor: 4597409495993085528491194604520661198088073118363377855780246179942119144981
Mon Oct 24 08:55:01 2022  p83 factor: 67650998123999617816917834160798116210993453736735703270954302063006174158528842053
Mon Oct 24 08:55:01 2022  elapsed time 00:35:23 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 6x10^191+5 = 60(190)5
#
n: 311019341188686257552798197606146655821555289711336904761645741475218899122349700915200748976383956657654727568019195427899448506976586776904935310800356685993
m: 100000000000000000000000000000000000000
deg: 5
c5: 12
c0: 1
skew: 0.61
# Murphy_E = 5.022e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1625650 hash collisions in 14482596 relations (13729893 unique)
Msieve: matrix is 1201311 x 1201536 (418.0 MB)

Sieving start time : 2022/10/24 04:48:38
Sieving end time  : 2022/10/24 08:19:19

Total sieving time: 3hrs 30min 41secs.

Total relation processing time: 0hrs 24min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 37sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

257802952583889451720481353383441304065755872473098040073704255562685852884366037429927490891072971251261984955443508354628707371776851421697074121<147>

401802046609406003021362226801391806411<39>

641616822909070772128918770129062766471648478973928555678898304577903409560751595742893163944381736609687611<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2640812460
Step 1 took 3547ms
Step 2 took 2671ms
********** Factor found in step 2: 401802046609406003021362226801391806411
Found prime factor of 39 digits: 401802046609406003021362226801391806411
Composite cofactor 641616822909070772128918770129062766471648478973928555678898304577903409560751595742893163944381736609687611 has 108 digits
 

GMP-ECM

641616822909070772128918770129062766471648478973928555678898304577903409560751595742893163944381736609687611<108>

487746063925860265033045506235173131508251531<45>
1315473092175685088745245439402239163334076296786007604626545681<64>

10/14/22 16:36:22, nfs: commencing nfs on c108: 641616822909070772128918770129062766471648478973928555678898304577903409560751595742893163944381736609687611
10/14/22 16:36:22, nfs: commencing poly selection with 46 threads
10/14/22 16:36:22, nfs: setting deadline of 64 seconds
10/14/22 16:36:22, nfs: expecting degree 4 poly E from 3.14e-09 to > 3.62e-09
10/14/22 16:36:22, nfs: searching for avg quality poly E > 3.26e-09
10/14/22 16:37:19, nfs: completed 93 ranges of size 250 in 56.7563 seconds
10/14/22 16:37:19, nfs: best poly = # norm 8.410037e-15 alpha -5.041552 e 3.683e-09 rroots 2
10/14/22 16:37:19, nfs: commencing lattice sieving with 46 threads
10/14/22 16:38:35, nfs: commencing lattice sieving with 46 threads
10/14/22 16:39:56, nfs: commencing lattice sieving with 46 threads
10/14/22 16:41:26, nfs: commencing lattice sieving with 46 threads
10/14/22 16:42:43, nfs: commencing lattice sieving with 46 threads
10/14/22 16:44:00, nfs: commencing lattice sieving with 46 threads
10/14/22 16:45:12, nfs: commencing lattice sieving with 46 threads
10/14/22 16:46:32, nfs: commencing lattice sieving with 46 threads
10/14/22 16:47:50, nfs: commencing lattice sieving with 46 threads
10/14/22 16:49:07, nfs: commencing msieve filtering
10/14/22 16:49:58, nfs: raising min_rels by 5.00 percent to 5012891
10/14/22 16:49:58, nfs: commencing lattice sieving with 46 threads
10/14/22 16:51:22, nfs: commencing msieve filtering
10/14/22 16:52:36, nfs: raising min_rels by 5.00 percent to 5578407
10/14/22 16:52:36, nfs: commencing lattice sieving with 46 threads
10/14/22 16:54:14, nfs: commencing msieve filtering
10/14/22 16:55:30, nfs: commencing msieve linear algebra
10/14/22 16:58:02, nfs: commencing msieve sqrt
10/14/22 16:58:26, prp64 = 1315473092175685088745245439402239163334076296786007604626545681
10/14/22 16:58:26, prp45 = 487746063925860265033045506235173131508251531
10/14/22 16:58:26, NFS elapsed time = 1324.1113 seconds.
10/14/22 16:58:26, 
10/14/22 16:58:26, 

Yafu

119868264777010065937534649420287104472185068609598051741136490996394961936831422266928645418684865332999034061566338593885320033283421519749794975322120989033052675110054050598392366788899<189>

230057978110803790411734457284194668298619622233100515434396833826051059962142571<81>
521035026741291319344379127688621798117414585433371264441591499079351606716777315543747230415314463251446569<108>

Number: n
N=119868264777010065937534649420287104472185068609598051741136490996394961936831422266928645418684865332999034061566338593885320033283421519749794975322120989033052675110054050598392366788899  ( 189 digits)
SNFS difficulty: 194 digits.
Divisors found:

Mon Oct 17 07:19:07 2022  p81 factor: 230057978110803790411734457284194668298619622233100515434396833826051059962142571
Mon Oct 17 07:19:07 2022  p108 factor: 521035026741291319344379127688621798117414585433371264441591499079351606716777315543747230415314463251446569
Mon Oct 17 07:19:07 2022  elapsed time 00:48:25 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 6x10^194+5 = 60(193)5
#
n: 119868264777010065937534649420287104472185068609598051741136490996394961936831422266928645418684865332999034061566338593885320033283421519749794975322120989033052675110054050598392366788899
m: 200000000000000000000000000000000000000
deg: 5
c5: 375
c0: 1
skew: 0.31
# Murphy_E = 3.466e-11
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1631979 hash collisions in 13890743 relations (13064370 unique)
Msieve: matrix is 1439536 x 1439761 (503.3 MB)

Sieving start time : 2022/10/17 01:59:27
Sieving end time  : 2022/10/17 06:30:08

Total sieving time: 4hrs 30min 41secs.

Total relation processing time: 0hrs 38min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 47sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12000000,12000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

48010604556902190175373739619369007053128489541886260239783237029241489077243594224667990664204953473142183355324887656391928648114709110927016266344891<152>

992353406567486621640681219822577330317761157988398210641048915541967267<72>
48380550960135339887060073716668323486092792927698083714390333501858371430443273<80>

48010604556902190175373739619369007053128489541886260239783237029241489077243594224667990664204953473142183355324887656391928648114709110927016266344891=992353406567486621640681219822577330317761157988398210641048915541967267*48380550960135339887060073716668323486092792927698083714390333501858371430443273

cado polynomial
n: 48010604556902190175373739619369007053128489541886260239783237029241489077243594224667990664204953473142183355324887656391928648114709110927016266344891
skew: 0.61
type: snfs
c0: 1
c5: 12
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 12*x^5+1
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13000000
tasks.lim1 = 13000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 992353406567486621640681219822577330317761157988398210641048915541967267 48380550960135339887060073716668323486092792927698083714390333501858371430443273
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1545.08/474.709
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 126.22/35.2786
Info:Square Root: Total cpu/real time for sqrt: 1545.08/474.709
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 96.35/97.3008
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 96.60000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 72.52/31.7625
Info:Filtering - Singleton removal: Total cpu/real time for purge: 286.99/266.162
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 405.22/409.559
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 302.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.4/2.51084
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23926967
Info:Lattice Sieving: Average J: 3790.51 for 743582 special-q, max bucket fill -bkmult 1.0,1s:1.093110
Info:Lattice Sieving: Total time: 290098s
Info:Filtering - Merging: Merged matrix has 1899880 rows and total weight 323042177 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 520.79/144.96
Info:Filtering - Merging: Total cpu/real time for replay: 74/74.2678
Info:Linear Algebra: Total cpu/real time for bwc: 67839.8/17850.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 43606.6, WCT time 11243.64, iteration CPU time 0.17, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (59392 iterations)
Info:Linear Algebra: Lingen CPU time 279.61, WCT time 285.51
Info:Linear Algebra: Mksol: CPU time 23501.88,  WCT time 6086.73, iteration CPU time 0.19, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (29696 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 615519/164466
Info:root: Cleaning up computation data in /tmp/cado.gxzl0p_l
992353406567486621640681219822577330317761157988398210641048915541967267 48380550960135339887060073716668323486092792927698083714390333501858371430443273

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)

7882382937345176036618681414024298399041328874943424582375536306521412873607118159847156648398486405831828100295574232543856846422856942339830774998039005993379259583404935777791383748727<187>

5990594315182798738810326138856663756223674610839650163378799735157156776759012849182873<88>
1315793145492719065735523838672444998218093903263586208466475823171584027426294714317173558218509199<100>

Number: n
N=7882382937345176036618681414024298399041328874943424582375536306521412873607118159847156648398486405831828100295574232543856846422856942339830774998039005993379259583404935777791383748727  ( 187 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Oct 23 07:08:35 2022  p88 factor: 5990594315182798738810326138856663756223674610839650163378799735157156776759012849182873
Sun Oct 23 07:08:35 2022  p100 factor: 1315793145492719065735523838672444998218093903263586208466475823171584027426294714317173558218509199
Sun Oct 23 07:08:35 2022  elapsed time 01:07:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 6x10^197+5 = 60(196)5
#
n: 7882382937345176036618681414024298399041328874943424582375536306521412873607118159847156648398486405831828100295574232543856846422856942339830774998039005993379259583404935777791383748727
m: 1000000000000000000000000000000000000000
deg: 5
c5: 120
c0: 1
skew: 0.38
# Murphy_E = 2.802e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 19550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1551246 hash collisions in 13402655 relations (12629199 unique)
Msieve: matrix is 1762830 x 1763055 (617.8 MB)

Sieving start time : 2022/10/23 01:50:25
Sieving end time  : 2022/10/23 06:01:08

Total sieving time: 4hrs 10min 43secs.

Total relation processing time: 1hrs 0min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 21sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

729017509178026683255865097739984970089019113016546874914568260643199998055953308858595511317693072693373413095949031955875000227817971618133338517457843043745303152818472817670898410802581451<192>

84361544317799885205641435890083334121163831404533<50>
8641585630909407748133851040678153424676784100642551692510538384265629982570327713615463536989429308396583132818696985183155282550700997574847<142>

Number: n
N=729017509178026683255865097739984970089019113016546874914568260643199998055953308858595511317693072693373413095949031955875000227817971618133338517457843043745303152818472817670898410802581451  ( 192 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Oct 25 10:00:56 2022  p50 factor: 84361544317799885205641435890083334121163831404533
Tue Oct 25 10:00:56 2022  p142 factor: 8641585630909407748133851040678153424676784100642551692510538384265629982570327713615463536989429308396583132818696985183155282550700997574847
Tue Oct 25 10:00:56 2022  elapsed time 01:13:41 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 6x10^198+5 = 60(197)5
#
n: 729017509178026683255865097739984970089019113016546874914568260643199998055953308858595511317693072693373413095949031955875000227817971618133338517457843043745303152818472817670898410802581451
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1200
c0: 1
skew: 0.24
# Murphy_E = 2.216e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 19872997)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1759216 hash collisions in 13842165 relations (12847754 unique)
Msieve: matrix is 1833807 x 1834032 (638.9 MB)

Sieving start time : 2022/10/25 02:36:22
Sieving end time  : 2022/10/25 08:46:55

Total sieving time: 6hrs 10min 33secs.

Total relation processing time: 1hrs 3min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 9sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

239371404614157597664035496136781702534408505038663895602991155750351061672856187703949170220625432462072960707737854305159926715285042946360502857886208408813125421773973341446979<180>

285046579091224544899563090307782379753<39>
380723256953003781563644596078116751225677047<45>
2205702969448967973674264019261075448150749156562871055386620546591559320239777695467394867509069<97>

Number: n
N=839762418399522883668014605559571677710425475784409877597633827322564280355907416167312871833222058841540617108732398574554891797221937639243  ( 141 digits)
Divisors found:

Sat Oct 29 23:53:08 2022  p45 factor: 380723256953003781563644596078116751225677047
Sat Oct 29 23:53:08 2022  p97 factor: 2205702969448967973674264019261075448150749156562871055386620546591559320239777695467394867509069
Sat Oct 29 23:53:08 2022  elapsed time 00:40:38 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 6x10^201+5 = 60(200)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 239371404614157597664035496136781702534408505038663895602991155750351061672856187703949170220625432462072960707737854305159926715285042946360502857886208408813125421773973341446979 (180 digits)
# Using B1=18370000, B2=58560741340, polynomial Dickson(12), sigma=1:1378059523
# Step 1 took 50505ms
# ********** Factor found in step 1: 285046579091224544899563090307782379753
# Found prime factor of 39 digits: 285046579091224544899563090307782379753
# Composite cofactor 839762418399522883668014605559571677710425475784409877597633827322564280355907416167312871833222058841540617108732398574554891797221937639243 has 141 digits
#

n: 839762418399522883668014605559571677710425475784409877597633827322564280355907416167312871833222058841540617108732398574554891797221937639243

Y0: -5874828080730975396894201299
Y1: 569546550581519
c0: -559727535924164276153169130329159360
c1: 2008233625413608325520361051492
c2: 229805134031797108110385
c3: -42167019267918301
c4: -1771205439
c5: 120

#skew 10779749.63, size 1.091e-13, alpha -6.142, combined = 1.751e-11 rroots = 5

skew: 10779749.63
type: gnfs
rlim: 9600000
alim: 9600000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25448693)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3343096 hash collisions in 14960683 relations (11632430 unique)
Msieve: matrix is 1340528 x 1340754 (479.3 MB)

Sieving start time : 2022/10/29 13:15:28
Sieving end time  : 2022/10/29 23:12:11

Total sieving time: 9hrs 56min 43secs.

Total relation processing time: 0hrs 32min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 31sec.

Prototype def-par.txt line would be:
gnfs,140,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9600000,9600000,27,27,54,54,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

13126119973844827152421401367993386503991298809864004674525895413722974591146712818378529289993272003490392753878564885791084637676837879669455446874550309897<158>

4521933736230749020796657588013679886553281335483091687707972183<64>
2902766988528691812793415764167288439559768271154965883619526748824038563880913766193552281759<94>

Number: n
N=13126119973844827152421401367993386503991298809864004674525895413722974591146712818378529289993272003490392753878564885791084637676837879669455446874550309897  ( 158 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon Jun  3 16:49:58 2024  prp64 factor: 4521933736230749020796657588013679886553281335483091687707972183
Mon Jun  3 16:49:58 2024  prp94 factor: 2902766988528691812793415764167288439559768271154965883619526748824038563880913766193552281759
Mon Jun  3 16:49:58 2024  elapsed time 01:43:00 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.958).
Factorization parameters were as follows:
#
# N = 6x10^203+5 = 60(202)5
#
n: 13126119973844827152421401367993386503991298809864004674525895413722974591146712818378529289993272003490392753878564885791084637676837879669455446874550309897
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1200
c0: 1
skew: 0.24
# Murphy_E = 1.368e-11
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3962294 hash collisions in 21887980 relations (18361845 unique)
Msieve: matrix is 1794832 x 1795057 (504.7 MB)

Sieving start time: 2024/06/03 04:26:27
Sieving end time  : 2024/06/03 15:06:35

Total sieving time: 10hrs 40min 8secs.

Total relation processing time: 1hrs 32min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 49sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17000000,17000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

16950730240236266970450163855547596839999429558550375036375843638548930894933285004184889470032122769063372546539511595355360970258048363811899607782384057712284668035223<170>

3250483508827357054742348236637120987173<40>
5214833483758053172179430018881321326150923366435119210951204993083555507704987768009767210271095067627185098860034475183264387851<130>

p40:3250483508827357054742348236637120987173
p130:5214833483758053172179430018881321326150923366435119210951204993083555507704987768009767210271095067627185098860034475183264387851

ECM

66441503792702508166768174519683295498588118044405071701456176291456729970655002491556392226344056253806544488123581197054426665190188804606610929627373899562593433364708487902109517745418304634294889541<203>

53941757996006518133964194074154623<35>
1231726704154161724275279818448605845859777166835084066417801676563629440757467480883308501305206545278005148119423323268433569761497136158090170251898369791834718372667<169>

p35:53941757996006518133964194074154623
p169:1231726704154161724275279818448605845859777166835084066417801676563629440757467480883308501305206545278005148119423323268433569761497136158090170251898369791834718372667

ECM

22530233189477703405407996870748703284871964055418585839098290986227130443880460225725603255299257555631986790864198616173557170075226133238551529019102861781185478831058114085074656153<185>

271317763548400266313692834781674517960995935607365839<54>
83040022499148103886512332286544414691611252136956317890684804169355291187983201409481988369905627892946090369431145590371784181527<131>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 22530233189477703405407996870748703284871964055418585839098290986227130443880460225725603255299257555631986790864198616173557170075226133238551529019102861781185478831058114085074656153 (185 digits)
Using B1=56160000, B2=288597909616, polynomial Dickson(12), sigma=1:2495990997
Step 1 took 153670ms
Step 2 took 46167ms
********** Factor found in step 2: 271317763548400266313692834781674517960995935607365839
Found prime factor of 54 digits: 271317763548400266313692834781674517960995935607365839
Prime cofactor 83040022499148103886512332286544414691611252136956317890684804169355291187983201409481988369905627892946090369431145590371784181527 has 131 digits

23524516359430617148024210877856012309967354867855264456029550465438448135000783249733052891868107585985696752080262689662630866736532830534172718245099033739572097<164>

375344162831859878943873779845946372533595170270185444805563219935757675469<75>
62674522981642101703050804367561775036775634412975323661438024142704154594640299748539013<89>

10/23/24 20:10:53 v1.34.5 @ RYZEN-9,
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, ****************************
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, Starting factorization of 600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, ****************************
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, div: found prime factor = 5
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, div: found prime factor = 7
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C209
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C209
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C209
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C209
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/23/24 20:10:53 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 64.31
10/23/24 20:10:54 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C209 input, B1=2K, B2=gmp-ecm default
10/23/24 20:10:54 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/23/24 20:10:54 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 64.31
10/23/24 20:10:56 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C209 input, B1=11K, B2=gmp-ecm default
10/23/24 20:10:56 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/23/24 20:10:56 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 64.31
10/23/24 20:10:59 v1.34.5 @ RYZEN-9, prp21 = 947377124962920210733 (curve 17 stg2 B1=50000 sigma=2224566435 thread=0)
10/23/24 20:10:59 v1.34.5 @ RYZEN-9, Finished 17 curves using Lenstra ECM method on C209 input, B1=50K, B2=gmp-ecm default
10/23/24 20:10:59 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.64
10/23/24 20:10:59 v1.34.5 @ RYZEN-9, scheduled 197 curves at B1=50000 toward target pretesting depth of 57.85
10/23/24 20:11:02 v1.34.5 @ RYZEN-9, prp24 = 769200589334101119241843 (curve 28 stg1 B1=50000 sigma=673894679 thread=0)
10/23/24 20:11:02 v1.34.5 @ RYZEN-9, Finished 28 curves using Lenstra ECM method on C188 input, B1=50K, B2=gmp-ecm default
10/23/24 20:11:02 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 21.29
10/23/24 20:11:02 v1.34.5 @ RYZEN-9, scheduled 169 curves at B1=50000 toward target pretesting depth of 50.46
10/23/24 20:11:39 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005
10/23/24 20:11:39 v1.34.5 @ RYZEN-9, nfs: input divides 6*10^209 + 5
10/23/24 20:11:39 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 23524516359430617148024210877856012309967354867855264456029550465438448135000783249733052891868107585985696752080262689662630866736532830534172718245099033739572097
10/23/24 20:11:39 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c164: 23524516359430617148024210877856012309967354867855264456029550465438448135000783249733052891868107585985696752080262689662630866736532830534172718245099033739572097
10/23/24 20:11:39 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 23524516359430617148024210877856012309967354867855264456029550465438448135000783249733052891868107585985696752080262689662630866736532830534172718245099033739572097
# 6*10^209+5, difficulty: 210.08, anorm: 3.87e+031, rnorm: 3.62e+047
# scaled difficulty: 212.74, suggest sieving rational side
# size = 2.574e-014, alpha = -0.417, combined = 8.125e-012, rroots = 1
type: snfs
size: 210
skew: 0.3056
c5: 375
c0: 1
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 23524516359430617148024210877856012309967354867855264456029550465438448135000783249733052891868107585985696752080262689662630866736532830534172718245099033739572097
# 6*10^209+5, difficulty: 210.00, anorm: 1.73e+031, rnorm: 8.09e+047
# scaled difficulty: 212.78, suggest sieving rational side
# size = 2.354e-014, alpha = -0.148, combined = 7.557e-012, rroots = 1
type: snfs
size: 210
skew: 1.5281
c5: 3
c0: 25
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
n: 23524516359430617148024210877856012309967354867855264456029550465438448135000783249733052891868107585985696752080262689662630866736532830534172718245099033739572097
# 6*10^209+5, difficulty: 210.00, anorm: 1.73e+037, rnorm: 8.38e+040
# scaled difficulty: 210.00, suggest sieving algebraic side
# size = 1.984e-010, alpha = 0.446, combined = 5.446e-012, rroots = 0
type: snfs
size: 210
skew: 1.4239
c6: 3
c0: 25
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
10/23/24 20:11:41 v1.34.5 @ RYZEN-9, test: fb generation took 1.7355 seconds
10/23/24 20:11:41 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.3056
c5: 375
c0: 1
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/23/24 20:14:57 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/23/24 20:14:59 v1.34.5 @ RYZEN-9, test: fb generation took 1.6719 seconds
10/23/24 20:14:59 v1.34.5 @ RYZEN-9, 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: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/23/24 20:18:17 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/23/24 20:18:21 v1.34.5 @ RYZEN-9, test: fb generation took 3.2813 seconds
10/23/24 20:18:21 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 1.4239
c6: 3
c0: 25
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/23/24 20:20:31 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/23/24 20:20:31 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 23524516359430617148024210877856012309967354867855264456029550465438448135000783249733052891868107585985696752080262689662630866736532830534172718245099033739572097
# 6*10^209+5, difficulty: 210.08, anorm: 3.87e+031, rnorm: 3.62e+047
# scaled difficulty: 212.74, suggest sieving rational side
# size = 2.574e-014, alpha = -0.417, combined = 8.125e-012, rroots = 1
type: snfs
size: 210
skew: 0.3056
c5: 375
c0: 1
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
10/24/24 19:50:20 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/24/24 19:52:26 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22254735
10/24/24 21:12:14 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/24/24 21:14:29 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23446130
10/24/24 22:33:57 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/24/24 22:36:18 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24619603
10/25/24 00:09:08 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/25/24 00:11:34 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25979337
10/25/24 01:43:56 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/25/24 01:48:17 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
10/25/24 05:40:42 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
10/25/24 05:44:10 v1.34.5 @ RYZEN-9, prp89 = 62674522981642101703050804367561775036775634412975323661438024142704154594640299748539013
10/25/24 05:44:10 v1.34.5 @ RYZEN-9, prp75 = 375344162831859878943873779845946372533595170270185444805563219935757675469
10/25/24 05:44:10 v1.34.5 @ RYZEN-9, NFS elapsed time = 120751.0142 seconds.
10/25/24 05:44:10 v1.34.5 @ RYZEN-9,
10/25/24 05:44:10 v1.34.5 @ RYZEN-9,
10/23/24 20:20:31 v1.34.5 @ RYZEN-9, test: test sieving took 532.11 seconds

YAFU

675496150119070669447485934022884623082244646164370619383098863202755544776461938408907816258573205445482403943160582814660258811478449815934093088060836555038888914008987411850534621<183>

483618253533060319769314816750102972257960031<45>

1396754868502690845715648130717596520026108679019100918733610651003274690443148495731579005738515844458561462084681593703584580860177037891<139>

GPU: factor 483618253533060319769314816750102972257960031 found in Step 1 with curve 1436 (-sigma 3:621476988)
Computing 1792 Step 1 took 774ms of CPU time / 653601ms of GPU time
Throughput: 2.742 curves per second (on average 364.73ms per Step 1)
********** Factor found in step 1: 483618253533060319769314816750102972257960031
Found prime factor of 45 digits: 483618253533060319769314816750102972257960031
Composite cofactor 1396754868502690845715648130717596520026108679019100918733610651003274690443148495731579005738515844458561462084681593703584580860177037891 has 139 digits
Peak memory usage: 9470MB

1396754868502690845715648130717596520026108679019100918733610651003274690443148495731579005738515844458561462084681593703584580860177037891<139>

415155314383964984780945411273123190432022670044888139739853<60>
3364415244389412290184214537656999321294823424484085370842559212040627183501647<79>

CADO:

STA:Tue 20 Feb 2024 14:09:32 AEDT (1396754868502690845715648130717596520026108679019100918733610651003274690443148495731579005738515844458561462084681593703584580860177037891 - C139)

/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 1396754868502690845715648130717596520026108679019100918733610651003274690443148495731579005738515844458561462084681593703584580860177037891 2>&1 | tee -a log-37

Debug:root: Looking for parameter file for c139 in directory /home/vboxuser/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c140
Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.5q9i4jqa
Info:Database: Opened connection to database /tmp/cado.5q9i4jqa/c140.db
Info:root: Set tasks.threads=30 based on --server-threads 30
Info:root: tasks.threads = 30 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 30 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu
Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 1396754868502690845715648130717596520026108679019100918733610651003274690443148495731579005738515844458561462084681593703584580860177037891
Debug:root: Root parameter dictionary:
N = 1396754868502690845715648130717596520026108679019100918733610651003274690443148495731579005738515844458561462084681593703584580860177037891
name = c140
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 1396754868502690845715648130717596520026108679019100918733610651003274690443148495731579005738515844458561462084681593703584580860177037891
skew: 197135.639
c0: -7121063892912318325849663845400
c1: 642704168669649293933306858
c2: 2936930843860526915322
c3: -29459375902493203
c4: -26556360102
c5: 27720
Y0: -120376421401112916952177337
Y1: 2110448062958269307059
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.053e+13) = 1.532e-06
# f(x) = 27720*x^5-26556360102*x^4-29459375902493203*x^3+2936930843860526915322*x^2+642704168669649293933306858*x-7121063892912318325849663845400
# g(x) = 2110448062958269307059*x-120376421401112916952177337
===
Debug:Command: Process with PID 291322 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 3364415244389412290184214537656999321294823424484085370842559212040627183501647 415155314383964984780945411273123190432022670044888139739853
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2983.6/378.783
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2237.01
Info:Polynomial Selection (root optimized): Rootsieve time: 2237.49
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 73184099
Info:Lattice Sieving: Average J: 3797.18 for 580891 special-q, max bucket fill -bkmult 1.0,1s:1.268990
Info:Lattice Sieving: Total time: 1.40694e+06s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 93020.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 64273/41.170/51.518/62.290/2.390
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54697/39.890/44.712/54.280/1.345
Info:Polynomial Selection (size optimized): Total time: 38600.6
Info:Generate Free Relations: Total cpu/real time for freerel: 563.19/68.1294
Info:Square Root: Total cpu/real time for sqrt: 2983.6/378.783
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1226.61/1492.31
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1303.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.73/1.44497
Info:Quadratic Characters: Total cpu/real time for characters: 80.55/22.4252
Info:Filtering - Singleton removal: Total cpu/real time for purge: 520.16/755.719
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 448.27/1852.08
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1851.1s
Info:Filtering - Merging: Total cpu/real time for merge: 170.51/53.919
Info:Filtering - Merging: Total cpu/real time for replay: 34.46/32.684
Info:Linear Algebra: Total cpu/real time for bwc: 40197.1/11738.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 23447.93, WCT time 7196.42, iteration CPU time 0.03, COMM 0.06, cpu-wait 0.02, comm-wait 0.01 (60000 iterations)
Info:Linear Algebra: Lingen CPU time 359.15, WCT time 54.99
Info:Linear Algebra: Mksol: CPU time 13718.46,  WCT time 3848.72, iteration CPU time 0.05, COMM 0.05, cpu-wait 0.02, comm-wait 0.0 (32000 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 693254/113920 [1d 07:38:40]
Info:root: Cleaning up computation data in /tmp/cado.jpc9_sbv
3364415244389412290184214537656999321294823424484085370842559212040627183501647 415155314383964984780945411273123190432022670044888139739853

END:Fri 23 Feb 2024 08:19:09 AEDT (1396754868502690845715648130717596520026108679019100918733610651003274690443148495731579005738515844458561462084681593703584580860177037891 - C139)

128158430078152455505153096531097251831698949195281243945713513523154566676061380138903366267058325517405647797967243328607024649954948019683313822613885926542703435918591<171>

419067742967514828253328280791753<33>
305817930940313398244447958683787317175074720275048205676759865286933963417685919714909339047515819897718451145935645959010873106791085447<138>

p33:419067742967514828253328280791753
p138:305817930940313398244447958683787317175074720275048205676759865286933963417685919714909339047515819897718451145935645959010873106791085447

ECM

10735872742071973692704639859417540649937763534048487758234538222877321067062756205592729241877617634187784788202275358909865150821139506577102370701525533077644572926962990620823950016732406374399613<200>

4794199436996660059169901363717659207863723075383747667386349938776524099550526557193939497085969975589346022408510074333629172408555090334246795252985573727402247784157522152819370628617949963950917<199>

1200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<220>

1327766459740588667049540398307770007840996203665270977749667534130853059004752020645560889252917080414403860587731594831560110105005840076289609317798079802092246149612730334489708599<184>

231260300962022538635414580526274778697600476741289<51>
12585294250608921182566059039326843113662383886816786971<56>
456202050898085471765321784437019506319729162233391180744705372080784894337421<78>

Number: 60005_220
N = 1327766459740588667049540398307770007840996203665270977749667534130853059004752020645560889252917080414403860587731594831560110105005840076289609317798079802092246149612730334489708599 (184 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=231260300962022538635414580526274778697600476741289 (pp51)
r2=12585294250608921182566059039326843113662383886816786971 (pp56)
r3=456202050898085471765321784437019506319729162233391180744705372080784894337421 (pp78)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 39.19 hours.
Factorization parameters were as follows:
n: 1327766459740588667049540398307770007840996203665270977749667534130853059004752020645560889252917080414403860587731594831560110105005840076289609317798079802092246149612730334489708599
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 6
c0: 5
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30616175
Relations: 7665028 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.46 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 6596382 x 6596607
Matrix solve time: 25.94 hours.
time per square root: 0.44 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 39.19 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

169330834677867160894033563279746927746947344056844070676739303716777165660312218219081386531967563412986540650436914075308297676130048025684061312338609862528246537924303244426127074421888335510769636211<204>

248680237139956862293483932435040602990745513699<48>

680917939540841046393860622803148297732742397774619558866550162617652679669908876839259058538795502584486947678083764889654021682391195535023372670188183089<156>

Resuming ECM residue saved by @e8da725f83aa with GMP-ECM 7.0.5-dev on Sat Feb 10 12:29:40 2024 
Input number is 169330834677867160894033563279746927746947344056844070676739303716777165660312218219081386531967563412986540650436914075308297676130048025684061312338609862528246537924303244426127074421888335510769636211 (204 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1471489871
Step 1 took 0ms
Step 2 took 8833ms
********** Factor found in step 2: 248680237139956862293483932435040602990745513699
Found prime factor of 48 digits: 248680237139956862293483932435040602990745513699
Composite cofactor 680917939540841046393860622803148297732742397774619558866550162617652679669908876839259058538795502584486947678083764889654021682391195535023372670188183089 has 156 digits

2018460113895126026813520527195639656619384869855592973817097170618551501338812169709082230646605572390867164640154807810807010217989795831240132677807102645299<160>

8299681812295832800836478124795708288210285281<46>
243197288708684328986537881245343125039536124051897189377962942481411767594000660686120022889456441802610431180179<114>

Resuming ECM residue saved by @87658a70e545 with GMP-ECM 7.0.5-dev on Sat Oct 15 08:38:06 2022 
Input number is 2018460113895126026813520527195639656619384869855592973817097170618551501338812169709082230646605572390867164640154807810807010217989795831240132677807102645299 (160 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2742207160
Step 1 took 0ms
Step 2 took 2625ms
********** Factor found in step 2: 8299681812295832800836478124795708288210285281
Found prime factor of 46 digits: 8299681812295832800836478124795708288210285281
Prime cofactor 243197288708684328986537881245343125039536124051897189377962942481411767594000660686120022889456441802610431180179 has 114 digits

3526803491348020448857298073835741420119249410752234075270619001118191234802304714604175673200350646214858984808239478879303694644045003960509851369163459295245321784191876186146354413318571<190>

6656672992454914013837119895947192019067309655215989052369553413450493863918364095052366833770991664194600562014582860000406347229343724976790332673465824318224429280329494737769509887158433218202389571<202>

19227314895350595246419671992780852190274389875148436214669194451529208021810672482825938053844524093085849433841091402779100196285776375426099652663980187915660822574058619654029053703090589<191>

186078807494585164463870731491579497373467937137567726043302265625454863345377551378263343382507443710148541708053662461572126964025973551694589252708310791274935350845374172884914769820615146557179897717804475434338473<219>

257566000529854430074460996911482817679300356703820837169532954947367140063837321352039101767198819576380103637182479022109105364398301104024582483886198377165285770415726475554761786668615617<192>

44584870260753852570265350777124626509376313<44>
5776982169589909606648220422573179294921828935639234233265630731051900592901422772170555290618252058343363635979778639878291585193509163905242257609<148>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Mon Nov 20 06:36:51 2023
Input number is 257566000529854430074460996911482817679300356703820837169532954947367140063837321352039101767198819576380103637182479022109105364398301104024582483886198377165285770415726475554761786668615617 (192 digits)
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 4608MB of memory
Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1
P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13
Probability of finding a factor of n digits (assuming one exists):
20    25      30      35      40      45      50      55      60      65
0.77    0.5     0.25    0.11    0.04    0.013   0.0039  0.0011  0.00026 6.1e-05
Step 1 took 0ms
Computing F from factored S_1 took 80023ms
Computing h took 8695ms
Computing DCT-I of h took 26970ms
Multi-point evaluation 1 of 5:
Computing g_i took 31550ms
Computing g*h took 54631ms
Computing gcd of coefficients and N took 13003ms
Multi-point evaluation 2 of 5:
Computing g_i took 31585ms
Computing g*h took 54816ms
Computing gcd of coefficients and N took 13061ms
Multi-point evaluation 3 of 5:
Computing g_i took 31622ms
Computing g*h took 54820ms
Computing gcd of coefficients and N took 13016ms
Step 2 took 414348ms
********** Factor found in step 2: 44584870260753852570265350777124626509376313
Found prime factor of 44 digits: 44584870260753852570265350777124626509376313
Prime cofactor 5776982169589909606648220422573179294921828935639234233265630731051900592901422772170555290618252058343363635979778639878291585193509163905242257609 has 148 digits

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

166541884406078994310676397479945742376394918487486595070720956701382500623759537498378335618009086522028804724360293412954645897613653235849363561142758225138325577<165>

8563107554190320237838959041015304291<37>
19448767092103430601384777696190085312076544587311655197594171087859551587171924485172457166330809194392618079085280356266382947<128>

Resuming ECM residue saved by @7be50576359f with GMP-ECM 7.0.5-dev on Sat Oct 15 20:33:12 2022 
Input number is 166541884406078994310676397479945742376394918487486595070720956701382500623759537498378335618009086522028804724360293412954645897613653235849363561142758225138325577 (165 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3425667028
Step 1 took 0ms
Step 2 took 2817ms
********** Factor found in step 2: 8563107554190320237838959041015304291
Found prime factor of 37 digits: 8563107554190320237838959041015304291
Prime cofactor 19448767092103430601384777696190085312076544587311655197594171087859551587171924485172457166330809194392618079085280356266382947 has 128 digits

1333107609761285726754309199028301697818477394276144738510332695348899173016738040738142086812520219275441510636235383144890941441609865877069327258329830568530726511988331028474211566060664442847603731506459<208>

5763585503487377483583027066806151839834953965522135458380116436914939035914486258243308129013826985712503805767552771508944628417560050437136741018040358835069861620634750395682152284207396284398939442631503287669245887189437<226>

503251511789829555165507676909567863045461997601241322950023521415850344593486420289249450357523619074956397268533951914599897331818682031699752774534725642315327084781143787177957441551299470337318662128855026104075759<219>

2825789637211347636942028894112967952509588755898084069967161169384410924122500439269640643939598043075538411238316070951621225663491941803142983719197<151>

2865645052379376117203732959976985481<37>
986091991701855713958981690164301169146314994726006446180213236097154485393220561002162899217920207618569987944437<114>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2148757024
Step 1 took 5828ms
Step 2 took 3406ms
********** Factor found in step 2: 2865645052379376117203732959976985481
Found prime factor of 37 digits: 2865645052379376117203732959976985481
Prime cofactor 986091991701855713958981690164301169146314994726006446180213236097154485393220561002162899217920207618569987944437 has 114 digits

GMP-ECM

4017242015116988068875439382835406106794841176132686773478661734062232546777539363480873306527911012271315171045205242943531676325469240891218139258358509542489582269706241941153297429516881186257<196>

1119824598556870313131955874944910262412687884429613520232424546181216287364081970007346869117147578928170354936256716083053268240961361962040425420509607837068937878207865774369<178>

48582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048582995951417004048583<239>

28043935498948352418789436784295396120588922645477915400794578172470203318532367375555036223416686141621874269689179714886655760691750408974059359663472774012619770974526758588455246552932928254265015190465061930357560177611591493339565319<239>

4588917962521908009231321833357271412396414895652276032308425131646461670696767818289716723806760471076517600988687433638534102373030675623486769167167229730062842249996517192598086065813364651<193>

386144126358373280582692455347451203654359564509186254011746478529638934711015120221653989179407473565174664897724116160853549654867620222563013979663581064199216450767862883584762492803010175491350631<201>

89773407677569696728098665029164292352501915912799169264252541531975875146730724424737551680239656285271166548606686611694955049182191519444364235324948663540747587198780828462513672024150334363608917830507246079188437147087<224>

24210662517285140661549841938221016684606917689493983211024055980423736127541025583094378405317714014557579509450714912100473914819768949358206989808922829797369977733997320121091<179>

8386623040956676828374152100346052592929765227405254961397543726948003308883134894068780674662146321762616637201931123977261392839048076455171229901727739415798097204707488977330471006938049656509139516783927250074053409704101402581472167<238>

577800003119647362553331963092997602182390143053325261988457611776970718438167160749407624488062651986546900833771620676137796944237704966936853046820847813444558783360477259664389290913<186>

334116368326334133624403279579884982826534942103510558580995818985949600602567942194926313078377625810552966759308638079743910197126716028000013088832915558164101958210309998948867941159940101197366641925944265272983692096970787<228>

18598050172714942011987402830312392484638742101749242618541040620573439399925231349835616943763882472903202557549969673709365486436078357424344477902821083416629062745293044194358660027881987829582377<200>

45306697143115084541833700361641520603763<41>
410492296844488624834357670807478058091459140473416596055715505655943598789051144303921174961264115983197073389318218785453713713941023791300080440216916577779<159>

Resuming ECM residue saved by @87658a70e545 with GMP-ECM 7.0.5-dev on Sat Oct 15 08:11:31 2022 
Input number is 18598050172714942011987402830312392484638742101749242618541040620573439399925231349835616943763882472903202557549969673709365486436078357424344477902821083416629062745293044194358660027881987829582377 (200 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3542779082
Step 1 took 0ms
Step 2 took 3380ms
********** Factor found in step 2: 45306697143115084541833700361641520603763
Found prime factor of 41 digits: 45306697143115084541833700361641520603763
Prime cofactor 410492296844488624834357670807478058091459140473416596055715505655943598789051144303921174961264115983197073389318218785453713713941023791300080440216916577779 has 159 digits

22359589535587864259091757962932518612173403680550974427258195932283126407744043508937135976211957366320497540383321344378356144040927626695766387696965514622645766471511110052192299423013592212356436082679659545970550604186499792537<233>

4154331964106383133293781009633603456305328727452893614974273219123996372482929121011228231421680492877787107310600910851759595576541741891510342434507619857631993340653633470804297667892853859275765087797692532048865400381707999636547<235>

17604221694224348075970913155271874887785641910540748905734434763476271021351170510306830254837413250179515416869473225602896698620673298102483282179754551361698432627971110756464038958142362465005655274719653017483244248234243<227>

2948276542720296198013529602498298929<37>
5971021184458294353090355897842835129356237932810840826875079512797260450567945667899678547513763887447033569807942461424079273259799006303165974072492289647156901418487845207943525246814067<190>

Resuming ECM residue saved by @87658a70e545 with GMP-ECM 7.0.5-dev on Sat Oct 15 08:45:30 2022 
Input number is 17604221694224348075970913155271874887785641910540748905734434763476271021351170510306830254837413250179515416869473225602896698620673298102483282179754551361698432627971110756464038958142362465005655274719653017483244248234243 (227 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:471707228
Step 1 took 0ms
Step 2 took 3985ms
********** Factor found in step 2: 2948276542720296198013529602498298929
Found prime factor of 37 digits: 2948276542720296198013529602498298929
Prime cofactor 5971021184458294353090355897842835129356237932810840826875079512797260450567945667899678547513763887447033569807942461424079273259799006303165974072492289647156901418487845207943525246814067 has 190 digits

1306474295909249771079882754588138947395402552827108865951347997221687209066381822938442215215371838311407774562309016612264707112072788870338944845731573812692878771708145453596385553187698489847108336363513663437112730362706983020904411<238>

60549492602831253799197606545878027064692127<44>
21576965218832567167192222398304283520940779772414874893099551501207298821150115772852436546361832909029361863930371538173386968090868306351450529010127374660679908846169926729294447829382605893<194>

Resuming ECM residue saved by @7be50576359f with GMP-ECM 7.0.5-dev on Sat Oct 15 20:00:43 2022 
Input number is 1306474295909249771079882754588138947395402552827108865951347997221687209066381822938442215215371838311407774562309016612264707112072788870338944845731573812692878771708145453596385553187698489847108336363513663437112730362706983020904411 (238 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2894793592
Step 1 took 0ms
Step 2 took 5886ms
********** Factor found in step 2: 60549492602831253799197606545878027064692127
Found prime factor of 44 digits: 60549492602831253799197606545878027064692127
Prime cofactor 21576965218832567167192222398304283520940779772414874893099551501207298821150115772852436546361832909029361863930371538173386968090868306351450529010127374660679908846169926729294447829382605893 has 194 digits

480261198751566344280356938303119518038710937125338947863329590403768363102639017886544227964475769423616222698690320791997451288362773115346069201355459440943418000890435252379819377742540199586200961554097147670803452272458328987621460887420057<246>

1766830279297905763956454664746106019001810157096425125108614334814669178569864560403426359371679194728162405985544683108123291650428003878515599057270835623352405425293721623162179644656500922736462483367207407818452747<220>

640564939318895625863973668355188562853<39>
2758237566321618281644351164589306963261013301475197536152811646159261616956260625731671490840471918339261070242221339403270379746902188768901946450871121417719308004858087553065199<181>

Resuming ECM residue saved by @7be50576359f with GMP-ECM 7.0.5-dev on Sat Oct 15 19:56:15 2022 
Input number is 1766830279297905763956454664746106019001810157096425125108614334814669178569864560403426359371679194728162405985544683108123291650428003878515599057270835623352405425293721623162179644656500922736462483367207407818452747 (220 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2428526533
Step 1 took 0ms
Step 2 took 3666ms
********** Factor found in step 2: 640564939318895625863973668355188562853
Found prime factor of 39 digits: 640564939318895625863973668355188562853
Prime cofactor 2758237566321618281644351164589306963261013301475197536152811646159261616956260625731671490840471918339261070242221339403270379746902188768901946450871121417719308004858087553065199 has 181 digits

521142886121162385574503675266048306219333118932198120970710732809666352869583660173656403342764598296121945131806607843774465189971367922711725831122678742416596829344845907800793083584744056161615634638567420378146701072806001<228>

3817462062043562012577403474101999873211577905828531978193341614933365065557017577882926902521422746334874120003487077354669292821918064927863783197440376968799930611230332966486206780603088317949996551143835236161242811745257912549587<235>

526520666245837350870133060451035790679025577780896478954511559132422124710293922402719967915340484394235372603179750640248054462505668386863865067631922225250653740479808944701225499223930669261891552687548933747829307667229<225>

579801956107595756201228963856270742452013422174892616284381323349755791468375519316636474229099123100518391929537700751475230845834921926868191988266050622573739936199523298632191150313822586756694390232441586619018728189<222>

170658759254608400335023670285891750021991507346919901428463075737059208342883720518208769246176030064225055232312542589551341639089598234602991203073003350667248836644612727912027206805094793252984136290327751<210>

3634936134358614731196055518195277053349<40>

46949589469120390858506869826376302741376157727671804543646728627895412019059807134779002023347880699228326099676192457033136411461417483873373723172016557849280518683899<170>

GPU: factor 3634936134358614731196055518195277053349 found in Step 1 with curve 941 (-sigma 3:513498839)
Computing 1792 Step 1 took 826ms of CPU time / 642709ms of GPU time
Throughput: 2.788 curves per second (on average 358.65ms per Step 1)
********** Factor found in step 1: 3634936134358614731196055518195277053349
Found prime factor of 40 digits: 3634936134358614731196055518195277053349
Composite cofactor 46949589469120390858506869826376302741376157727671804543646728627895412019059807134779002023347880699228326099676192457033136411461417483873373723172016557849280518683899 has 170 digits
Peak memory usage: 9470MB

46949589469120390858506869826376302741376157727671804543646728627895412019059807134779002023347880699228326099676192457033136411461417483873373723172016557849280518683899<170>

35572636395606341329656640327853360336546359<44>

1319823162584577041360830663673577099694177616186575463017513108648825198974580939011170873579821974032383348875970831312884061<127>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1241353880
Step 1 took 23765ms
********** Factor found in step 1: 35572636395606341329656640327853360336546359
Found prime factor of 44 digits: 35572636395606341329656640327853360336546359
Composite cofactor 1319823162584577041360830663673577099694177616186575463017513108648825198974580939011170873579821974032383348875970831312884061 has 127 digits
 

GMP-ECM

1319823162584577041360830663673577099694177616186575463017513108648825198974580939011170873579821974032383348875970831312884061<127>

19779197883334706984182595310764245307501986707165368775943<59>
66727840550936398510625571285217435087577375457607052829812811215227<68>

CADO:



STA:Mon 19 Feb 2024 05:27:13 AEDT (1319823162584577041360830663673577099694177616186575463017513108648825198974580939011170873579821974032383348875970831312884061 - C127)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 1319823162584577041360830663673577099694177616186575463017513108648825198974580939011170873579821974032383348875970831312884061 2>&1 | tee -a log-35



Debug:root: Looking for parameter file for c127 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

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

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

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.jxaheg8p

Info:Database: Opened connection to database /tmp/cado.jxaheg8p/c125.db

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

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

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

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

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

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

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

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 1319823162584577041360830663673577099694177616186575463017513108648825198974580939011170873579821974032383348875970831312884061

Debug:root: Root parameter dictionary:

N = 1319823162584577041360830663673577099694177616186575463017513108648825198974580939011170873579821974032383348875970831312884061

name = c125

===

Info:Polynomial Selection (root optimized): Best polynomial is:

n: 1319823162584577041360830663673577099694177616186575463017513108648825198974580939011170873579821974032383348875970831312884061

skew: 97782.406

c0: -55062163460207231014179423168

c1: 6952896804209244339810134

c2: -107938986082767500097

c3: -1822292192101544

c4: 4804997730

c5: 31320

Y0: -2594686876402341142507535

Y1: 4503940267861175029

# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.342e+13) = 2.865e-06

# f(x) = 31320*x^5+4804997730*x^4-1822292192101544*x^3-107938986082767500097*x^2+6952896804209244339810134*x-55062163460207231014179423168

# g(x) = 4503940267861175029*x-2594686876402341142507535

===

Debug:Command: Process with PID 92571 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 66727840550936398510625571285217435087577375457607052829812811215227 19779197883334706984182595310764245307501986707165368775943

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

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 1693.34/239.871

Info:HTTP server: Got notification to stop serving Workunits

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

Info:Polynomial Selection (root optimized): Total time: 1171.19

Info:Polynomial Selection (root optimized): Rootsieve time: 1169.65

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 30960173

Info:Lattice Sieving: Average J: 3872.46 for 172261 special-q, max bucket fill -bkmult 1.0,1s:1.399190

Info:Lattice Sieving: Total time: 365430s

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

Info:Polynomial Selection (size optimized): potential collisions: 38835.7

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 26575/36.280/46.614/58.110/2.381

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21968/36.060/40.880/55.030/1.746

Info:Polynomial Selection (size optimized): Total time: 4745.77

Info:Square Root: Total cpu/real time for sqrt: 1693.34/239.871

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 767.66/1968.83

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

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1524.1s

Info:Quadratic Characters: Total cpu/real time for characters: 43.87/11.5971

Info:Filtering - Singleton removal: Total cpu/real time for purge: 297.11/471.511

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 203.87/971.008

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

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 969.5s

Info:Filtering - Merging: Total cpu/real time for merge: 104.36/18.2446

Info:Filtering - Merging: Total cpu/real time for replay: 20.22/16.7264

Info:Generate Factor Base: Total cpu/real time for makefb: 2.7/0.825003

Info:Generate Free Relations: Total cpu/real time for freerel: 359.54/37.5521

Info:Linear Algebra: Total cpu/real time for bwc: 10754.3/4900.66

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 5999.17, WCT time 2893.49, iteration CPU time 0.02, COMM 0.05, cpu-wait 0.01, comm-wait 0.01 (33000 iterations)

Info:Linear Algebra: Lingen CPU time 190.37, WCT time 28.81

Info:Linear Algebra: Mksol: CPU time 3622.3,  WCT time 1630.27, iteration CPU time 0.03, COMM 0.05, cpu-wait 0.01, comm-wait 0.0 (18000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 170264/31507.4 [08:45:07]

Info:root: Cleaning up computation data in /tmp/cado.jxaheg8p

66727840550936398510625571285217435087577375457607052829812811215227 19779197883334706984182595310764245307501986707165368775943



END:Mon 19 Feb 2024 14:12:22 AEDT (1319823162584577041360830663673577099694177616186575463017513108648825198974580939011170873579821974032383348875970831312884061 - C127)

1248192493672656148570874024634036497188119429161799920831110589851984414433663318088343131524194174125198138295628155585011292936458739678374641414523742074606755346348374359459851189518009370095996104213<205>

179424793406792837385507751333884593<36>

6956633305647718080499134818993153263510922681239184363646512848671954493946107731994976803650032171018852458155053199305830161962073663842869218343525685028634392306341<169>

Resuming ECM residue saved by @4795dc5abd93 with GMP-ECM 7.0.5-dev on Fri Oct 14 17:43:14 2022 
nput number is 1248192493672656148570874024634036497188119429161799920831110589851984414433663318088343131524194174125198138295628155585011292936458739678374641414523742074606755346348374359459851189518009370095996104213 (205 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2528929586
Step 1 took 0ms
Step 2 took 3375ms
********** Factor found in step 2: 179424793406792837385507751333884593
ound prime factor of 36 digits: 179424793406792837385507751333884593
Composite cofactor 6956633305647718080499134818993153263510922681239184363646512848671954493946107731994976803650032171018852458155053199305830161962073663842869218343525685028634392306341 has 169 digits

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1079175127422314602740669616626064801<37>

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Resuming ECM residue saved by @4795dc5abd93 with GMP-ECM 7.0.5-dev on Fri Oct 14 17:34:25 2022 
Input number is 102712406312473834137532800685904410662944766673039940094009294819006812703093492433065797983383422631740470240679289142811958593571267105875113118253692035512687461528688393743749088254601751591966568842106961444464092177012653669532183113524094717978924091613 (261 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3629696085
Step 1 took 0ms
Step 2 took 4621ms
********** Factor found in step 2: 1079175127422314602740669616626064801
Found prime factor of 37 digits: 1079175127422314602740669616626064801
Composite cofactor 95176773169160794591274745854273388353120387944532292200450935469610648372989225144361986570577447573371564914856560181797681028641469963503159241165358381944991730041370001783739230970593157900642536286089796953353805089213 has 224 digits

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164069295595705434929709054054771935911<39>

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GPU: factor 164069295595705434929709054054771935911 found in Step 1 with curve 1242 (-sigma 3:-410461490)
Computing 1792 Step 1 took 315ms of CPU time / 267707ms of GPU time
Throughput: 6.694 curves per second (on average 149.39ms per Step 1)
********** Factor found in step 1: 164069295595705434929709054054771935911
Found prime factor of 39 digits: 164069295595705434929709054054771935911
Composite cofactor 3204367971720192146605747071173207264756999899486102721002823790503243633435499458937000203033831828518985135273655593494868802925630266922409683761020041295950607189088120523284823092978285466829685796437481227667269507039751 has 226 digits
Peak memory usage: 9428MB

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