12666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<107>

32918038560857365402984113845145770754068887<44>
384794089211880354735923786232691333408448164344984674567612941<63>

N=12666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
  ( 107 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=32918038560857365402984113845145770754068887 (pp44)
 r2=384794089211880354735923786232691333408448164344984674567612941 (pp63)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.27 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 12666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 100000000000000000000000000
deg: 4
c4: 380
c0: 1
skew: 0.23
# Murphy_E = 1.57e-07
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [210000, 390001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 36892 x 37117
Total sieving time: 0.26 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,106.000,4,0,0,0,0,0,0,0,0,420000,420000,25,25,44,44,2.2,2.2,20000
total time: 0.27 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

7584830339321357285429141716566866267465069860279441117764471057884231536926147704590818363273453093812375249501<112>

1771881662611710131105594806425509167580589583781821<52>
4280664165879736751460226080333423792190946127270125347682081<61>

N=7584830339321357285429141716566866267465069860279441117764471057884231536926147704590818363273453093812375249501
  ( 112 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=1771881662611710131105594806425509167580589583781821 (pp52)
 r2=4280664165879736751460226080333423792190946127270125347682081 (pp61)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.40 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7584830339321357285429141716566866267465069860279441117764471057884231536926147704590818363273453093812375249501
m: 10000000000000000000000000000
deg: 4
c4: 380
c0: 1
skew: 0.23
# Murphy_E = 6.734e-08
type: snfs
lss: 1
rlim: 570000
alim: 570000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 570000/570000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [285000, 625001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62489 x 62714
Total sieving time: 0.39 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,570000,570000,25,25,45,45,2.2,2.2,20000
total time: 0.40 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

14462169113991079559022127343288611016323644376494577168020251481973673074956558593502903255711712856341995499<110>

97003629498006676234878028106390654506143847531<47>
149088948411855683224806788757991269657724898594364477185344129<63>

N=14462169113991079559022127343288611016323644376494577168020251481973673074956558593502903255711712856341995499
  ( 110 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=97003629498006676234878028106390654506143847531 (pp47)
 r2=149088948411855683224806788757991269657724898594364477185344129 (pp63)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.37 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 14462169113991079559022127343288611016323644376494577168020251481973673074956558593502903255711712856341995499
m: 100000000000000000000000000000
deg: 4
c4: 38
c0: 1
skew: 0.40
# Murphy_E = 6.872e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 50975 x 51200
Total sieving time: 0.36 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 0.37 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

6219630813819858468409280512956411112973883133633813588785943009904535596290191082514600494491440831147891<106>

2941324904073852030073544625237271334937295139<46>
2114567759993267764004118944080998678116385647247593523174769<61>

N=6219630813819858468409280512956411112973883133633813588785943009904535596290191082514600494491440831147891
  ( 106 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=2941324904073852030073544625237271334937295139 (pp46)
 r2=2114567759993267764004118944080998678116385647247593523174769 (pp61)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.55 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6219630813819858468409280512956411112973883133633813588785943009904535596290191082514600494491440831147891
m: 1000000000000000000000000000000
deg: 4
c4: 19
c0: 5
skew: 0.72
# Murphy_E = 3.768e-08
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 620001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74825 x 75050
Total sieving time: 0.54 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 0.55 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

270681942334400992118732114160860499376124430973593037980769371388812171516359949133903518562634335893454850161<111>

2398859283564847247111820892743621985871146089093401<52>
112837774265838370959772651042849364223957183962596269972761<60>

N=270681942334400992118732114160860499376124430973593037980769371388812171516359949133903518562634335893454850161
  ( 111 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=2398859283564847247111820892743621985871146089093401 (pp52)
 r2=112837774265838370959772651042849364223957183962596269972761 (pp60)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 270681942334400992118732114160860499376124430973593037980769371388812171516359949133903518562634335893454850161
m: 10000000000000000000000000000000
deg: 4
c4: 380
c0: 1
skew: 0.23
# Murphy_E = 1.817e-08
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 825001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 119688 x 119913
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126.000,4,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,75000
total time: 0.03 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

47638360961829253087915667997706391197331191053159176054288579619016198829780837973619531288170300957238959543739<113>

7928882138099822420889904525870663539167<40>
6008206469978618235941296425806351755302195129913438059555689160603383717<73>

N=47638360961829253087915667997706391197331191053159176054288579619016198829780837973619531288170300957238959543739
  ( 113 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=7928882138099822420889904525870663539167 (pp40)
 r2=6008206469978618235941296425806351755302195129913438059555689160603383717 (pp73)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.04 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 47638360961829253087915667997706391197331191053159176054288579619016198829780837973619531288170300957238959543739
m: 1000000000000000000000000000000000
deg: 4
c4: 19
c0: 5
skew: 0.72
# Murphy_E = 9.905e-09
type: snfs
lss: 1
rlim: 1170000
alim: 1170000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1170000/1170000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [585000, 1285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 142673 x 142898
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1170000,1170000,26,26,47,47,2.3,2.3,100000
total time: 0.04 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

1009032403042263290505118162865543635854694448600630470826425399035900012590506176433741625099852368382796603121<112>

24296428257424975145862926340573750389<38>
41530071513038281324947381430839711150894960447261525958210579724562616589<74>

New best polynomial is:
n: 1009032403042263290505118162865543635854694448600630470826425399035900012590506176433741625099852368382796603121
skew: 8608.546
c0: 9999970272878646971346300
c1: -668020486057155763678
c2: -476941373013397821
c3: 5571543774472
c4: 7013007852
c5: 10800
Y0: 1573576314135515887359
Y1: 186554618888595859
# MurphyE (Bf=1.342e+08,Bg=6.711e+07,area=1.678e+12) = 4.845e-06
# f(x) = 10800*x^5+7013007852*x^4+5571543774472*
     x^3-476941373013397821*x^2-668020486057155763678*
        x+9999970272878646971346300
# g(x) = 186554618888595859*x+1573576314135515887359
Factors: 
 41530071513038281324947381430839711150894960447261525958210579724562616589
        24296428257424975145862926340573750389
Total cpu/elapsed time for entire Complete Factorization 17999.5/4647.26

CADO-NFS v3.0.0

Ubuntu 20.04.4, Intel Xeon E5-1620

529986052998605299860529986052998605299860529986052998605299860529986052998605299860529986052998605299860529986052998605299860529986053<135>

433241776852930935504906431301546366503510433739082032421<57>
1223303202309862553763123489901637797338965436554972922850223173360985067952993<79>

Number: n
N=529986052998605299860529986052998605299860529986052998605299860529986052998605299860529986052998605299860529986052998605299860529986053  ( 135 digits)
SNFS difficulty: 137 digits.
Divisors found:

Wed Nov  9 01:51:08 2022  p57 factor: 433241776852930935504906431301546366503510433739082032421
Wed Nov  9 01:51:08 2022  p79 factor: 1223303202309862553763123489901637797338965436554972922850223173360985067952993
Wed Nov  9 01:51:08 2022  elapsed time 00:02:43 (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 = 19x10^137+5 = 63(136)5
#
n: 529986052998605299860529986052998605299860529986052998605299860529986052998605299860529986052998605299860529986052998605299860529986053
m: 10000000000000000000000000000000000
deg: 4
c4: 38
c0: 1
skew: 0.40
# Murphy_E = 7.391e-09
type: snfs
lss: 1
rlim: 1370000
alim: 1370000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1370000/1370000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6285000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 720019 hash collisions in 7735289 relations (7808242 unique)
Msieve: matrix is 290503 x 290751 (44.6 MB)

Sieving start time : 2022/11/09 01:33:51
Sieving end time  : 2022/11/09 01:45:51

Total sieving time: 0hrs 12min 0secs.

Total relation processing time: 0hrs 0min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 7sec.

Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1370000,1370000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6642771306617541290031718701174962026731893395907848412063454126007917387660585607882584861681729498622024258502696755874456819<127>

8253001658453556767309269373519116482969912263719933194419527<61>
804891551162278620258579888926816452960997581674342927882444030197<66>

Number: 1
N=6642771306617541290031718701174962026731893395907848412063454126007917387660585607882584861681729498622024258502696755874456819
  ( 127 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=8253001658453556767309269373519116482969912263719933194419527 (pp61)
 r2=804891551162278620258579888926816452960997581674342927882444030197 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.08 hours.
Scaled time: 62.35 units (timescale=7.716).
Factorization parameters were as follows:
n: 6642771306617541290031718701174962026731893395907848412063454126007917387660585607882584861681729498622024258502696755874456819
m: 100000000000000000000000000000000000
deg: 4
c4: 380
c0: 1
skew: 0.23
# Murphy_E = 2.958e-09
type: snfs
lss: 1
rlim: 1670000
alim: 1670000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1670000/1670000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [835000, 1635001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221776 x 222001
Total sieving time: 8.04 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,142.000,4,0,0,0,0,0,0,0,0,1670000,1670000,26,26,48,48,2.3,2.3,100000
total time: 8.08 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

36350603743249144386456952127059640808432323643448965075415515773793545753804122678153099909772415865315057045180903428818723<125>

6135957032684684908729916289707941339400347<43>
5924194636569113726221961733441878880883135182329135205179163159341756037441654809<82>

Number: 1
N=36350603743249144386456952127059640808432323643448965075415515773793545753804122678153099909772415865315057045180903428818723
  ( 125 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=6135957032684684908729916289707941339400347 (pp43)
 r2=5924194636569113726221961733441878880883135182329135205179163159341756037441654809 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.15 hours.
Scaled time: 62.99 units (timescale=7.728).
Factorization parameters were as follows:
n: 36350603743249144386456952127059640808432323643448965075415515773793545753804122678153099909772415865315057045180903428818723
m: 100000000000000000000000000000000000
deg: 4
c4: 3800
c0: 1
skew: 0.13
# Murphy_E = 3.039e-09
type: snfs
lss: 1
rlim: 1730000
alim: 1730000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1730000/1730000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [865000, 1665001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 215610 x 215835
Total sieving time: 8.11 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,143.000,4,0,0,0,0,0,0,0,0,1730000,1730000,26,26,48,48,2.3,2.3,100000
total time: 8.15 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

17145987786224353099714909103855378184538242650525408496943586222706272709062744804237672031736035807041979100799705971216269562859715971<137>

43487162488264918742344879744691154647377559<44>
394276995903129473776595298105132461254405087585508456680090261127308820553021130476772231669<93>

Number: n
N=17145987786224353099714909103855378184538242650525408496943586222706272709062744804237672031736035807041979100799705971216269562859715971  ( 137 digits)
SNFS difficulty: 145 digits.
Divisors found:

Wed Nov  9 01:22:25 2022  p44 factor: 43487162488264918742344879744691154647377559
Wed Nov  9 01:22:25 2022  p93 factor: 394276995903129473776595298105132461254405087585508456680090261127308820553021130476772231669
Wed Nov  9 01:22:25 2022  elapsed time 00:03:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 19x10^145+5 = 63(144)5
#
n: 17145987786224353099714909103855378184538242650525408496943586222706272709062744804237672031736035807041979100799705971216269562859715971
m: 1000000000000000000000000000000000000
deg: 4
c4: 38
c0: 1
skew: 0.40
# Murphy_E = 2.93e-09
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1870000/1870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6535000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 579986 hash collisions in 7316575 relations (7528690 unique)
Msieve: matrix is 247771 x 247996 (83.0 MB)

Sieving start time : 2022/11/09 00:57:07
Sieving end time  : 2022/11/09 01:18:51

Total sieving time: 0hrs 21min 44secs.

Total relation processing time: 0hrs 1min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 8sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1870000,1870000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

91785750021896813133241106198805864069006283424452699751180139246222240240550815026087224164608007205509905901658212098207021<125>

2381315925189632227674342180165552863875182863<46>
38544129760769816353929357858625050866283010772312609108561810056649080319870467<80>

Number: 1
N=91785750021896813133241106198805864069006283424452699751180139246222240240550815026087224164608007205509905901658212098207021
  ( 125 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=2381315925189632227674342180165552863875182863 (pp46)
 r2=38544129760769816353929357858625050866283010772312609108561810056649080319870467 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.21 hours.
Scaled time: 48.00 units (timescale=7.728).
Factorization parameters were as follows:
n: 91785750021896813133241106198805864069006283424452699751180139246222240240550815026087224164608007205509905901658212098207021
m: 100000000000000000000000000000
deg: 5
c5: 3800
c0: 1
skew: 0.19
# Murphy_E = 1.614e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 359831 x 360055
Total sieving time: 6.15 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 6.21 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

37650991408670898424096112352175519460167474854605314437952327516059963255823133851049398129272111660335185180393<113>

1641028455082071580485164298650420548760579628625388417<55>
22943533545728728003125192629455602623218910953363609773929<59>

37650991408670898424096112352175519460167474854605314437952327516059963255823133851049398129272111660335185180393=1641028455082071580485164298650420548760579628625388417*22943533545728728003125192629455602623218910953363609773929

cado polynomial
n: 37650991408670898424096112352175519460167474854605314437952327516059963255823133851049398129272111660335185180393
skew: 31577.704
c0: 2331049853907273337899615
c1: -6625638844429255555074
c2: 421781641257846335
c3: -68344165825612
c4: -890199684
c5: 5940
Y0: -11614470305620058159698
Y1: 793500633867287
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.251e-06
# f(x) = 5940*x^5-890199684*x^4-68344165825612*x^3+421781641257846335*x^2-6625638844429255555074*x+2331049853907273337899615
# g(x) = 793500633867287*x-11614470305620058159698

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 22943533545728728003125192629455602623218910953363609773929 1641028455082071580485164298650420548760579628625388417
Info:Square Root: Total cpu/real time for sqrt: 123.19/37.2338
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 114.17/125.117
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 92.0s
Info:Square Root: Total cpu/real time for sqrt: 123.19/37.2338
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.1/28.1373
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 27.599999999999994s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.94/99.2809
Info:Filtering - Merging: Merged matrix has 410248 rows and total weight 64016825 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 64.81/19.083
Info:Filtering - Merging: Total cpu/real time for replay: 13.75/11.1247
Info:Generate Factor Base: Total cpu/real time for makefb: 4.05/1.12321
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6928409
Info:Lattice Sieving: Average J: 1902.96 for 122224 special-q, max bucket fill -bkmult 1.0,1s:1.251330
Info:Lattice Sieving: Total time: 14136s
Info:Linear Algebra: Total cpu/real time for bwc: 2179.73/562.62
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1342.16, WCT time 343.32, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12928 iterations)
Info:Linear Algebra: Lingen CPU time 63.48, WCT time 16.13
Info:Linear Algebra: Mksol: CPU time 740.0,  WCT time 189.26, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 280.27
Info:Polynomial Selection (root optimized): Rootsieve time: 279.16
Info:Quadratic Characters: Total cpu/real time for characters: 14.89/5.93632
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21842/33.000/40.057/45.980/1.067
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16864/32.090/35.477/40.520/0.812
Info:Polynomial Selection (size optimized): Total time: 1874.69
Info:Generate Free Relations: Total cpu/real time for freerel: 64.32/16.6576
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 30736.5/8445.29
Info:root: Cleaning up computation data in /tmp/cado.wdq2epfo
22943533545728728003125192629455602623218910953363609773929 1641028455082071580485164298650420548760579628625388417

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)

27493955860004143866563355633495859886621672320449469450224171619044676901092272646169307772890123973<101>

61064086027086600837517354226344981657084264559<47>
450247562009009155993262248257039563642305513150158347<54>

Number: 1
N=27493955860004143866563355633495859886621672320449469450224171619044676901092272646169307772890123973
  ( 101 digits)
Divisors found:
 r1=61064086027086600837517354226344981657084264559 (pp47)
 r2=450247562009009155993262248257039563642305513150158347 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.52 hours.
Scaled time: 27.23 units (timescale=7.746).
Factorization parameters were as follows:
name: 1
n: 27493955860004143866563355633495859886621672320449469450224171619044676901092272646169307772890123973
skew: 9168.39
# norm 2.83e+014
c5: 181440
c4: 23098344
c3: -28431437866460
c2: -23648749323859475
c1: 1033065682432145430980
c0: 1831643387244205167965036
# alpha -6.69
Y1: 17602865093
Y0: -10866778651939302855
# Murphy_E 3.22e-009
# M 21885571530588418991686320800566879324903468465665234583650434000695762045067283532061579064220678089
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 175243 x 175468
Total sieving time: 3.48 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.52 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

28365995919039015544411476937929499515249960486590583894270194903157724825287109359785303328711314190846999185916680703398143058553177527661367<143>

66837269477099076814024393346313392112991<41>
424403871387329130835953314733964631776804858594786958745374855876521518926988638558768702954288957737<102>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 28365995919039015544411476937929499515249960486590583894270194903157724825287109359785303328711314190846999185916680703398143058553177527661367 (143 digits)
Using B1=35580000, B2=192388936756, polynomial Dickson(12), sigma=1:3063316281
Step 1 took 69137ms
Step 2 took 26196ms
********** Factor found in step 2: 66837269477099076814024393346313392112991
Found prime factor of 41 digits: 66837269477099076814024393346313392112991
Prime cofactor 424403871387329130835953314733964631776804858594786958745374855876521518926988638558768702954288957737 has 102 digits

91419470586157473756656745374792458280219592118427614059726565769871262336779126090696346577803218539174334137108506884589117071330439530359<140>

222131488295534292838873082099239448572495409830783282573<57>
411555656911318505765073529865512008094603353568029041083371528171506841274969521683<84>

Number: 1
N=91419470586157473756656745374792458280219592118427614059726565769871262336779126090696346577803218539174334137108506884589117071330439530359
  ( 140 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=222131488295534292838873082099239448572495409830783282573 (pp57)
 r2=411555656911318505765073529865512008094603353568029041083371528171506841274969521683 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 16.82 hours.
Scaled time: 131.90 units (timescale=7.843).
Factorization parameters were as follows:
n: 91419470586157473756656745374792458280219592118427614059726565769871262336779126090696346577803218539174334137108506884589117071330439530359
m: 100000000000000000000000000000000
deg: 5
c5: 19
c0: 5
skew: 0.77
# Murphy_E = 5.595e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 639759 x 639985
Total sieving time: 16.68 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 16.82 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

4408089942919298579525775288785748518631495253306790009003773333119069400044503457168196708896143237774480872724097924529981455275477507<136>

194417443736505016411277273416659608875316068196785701657897564409<66>
22673325285017151307694085361091981152330102773394646010710902473192923<71>

Number: 1
N=4408089942919298579525775288785748518631495253306790009003773333119069400044503457168196708896143237774480872724097924529981455275477507
  ( 136 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=194417443736505016411277273416659608875316068196785701657897564409 (pp66)
 r2=22673325285017151307694085361091981152330102773394646010710902473192923 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.62 hours.
Scaled time: 106.46 units (timescale=7.819).
Factorization parameters were as follows:
n: 4408089942919298579525775288785748518631495253306790009003773333119069400044503457168196708896143237774480872724097924529981455275477507
m: 100000000000000000000000000000000
deg: 5
c5: 38
c0: 1
skew: 0.48
# Murphy_E = 6.954e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 621394 x 621619
Total sieving time: 13.47 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 13.62 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

170004237771216443375439317368695203792515609235485618600418611237470288281266554634817306781554597716291674005629284617673325873<129>

2109416482452742558045256743393406003629905831486340061389439<61>
80593016687507116406305429336345594597524590728211968469032741808207<68>

170004237771216443375439317368695203792515609235485618600418611237470288281266554634817306781554597716291674005629284617673325873=2109416482452742558045256743393406003629905831486340061389439*80593016687507116406305429336345594597524590728211968469032741808207

cado polynomial
n: 170004237771216443375439317368695203792515609235485618600418611237470288281266554634817306781554597716291674005629284617673325873
skew: 98718.86
c0: 423563489569595623345670820522
c1: -6661578186138560151884627
c2: -141829074407304697482
c3: 1992043639799003
c4: 6884453976
c5: 33120
Y0: -7901198082790564561476220
Y1: 4893913399573769
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.487e-07
# f(x) = 33120*x^5+6884453976*x^4+1992043639799003*x^3-141829074407304697482*x^2-6661578186138560151884627*x+423563489569595623345670820522
# g(x) = 4893913399573769*x-7901198082790564561476220

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

cado log (extracts)
Info:Square Root: Factors: 80593016687507116406305429336345594597524590728211968469032741808207 2109416482452742558045256743393406003629905831486340061389439
Info:Square Root: Total cpu/real time for sqrt: 633.66/190.01
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 265.88/221.274
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 209.6s
Info:Square Root: Total cpu/real time for sqrt: 633.66/190.01
Info:Generate Free Relations: Total cpu/real time for freerel: 251.58/64.3982
Info:Filtering - Singleton removal: Total cpu/real time for purge: 118.89/132.666
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.21/112.655
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 112.5s
Info:Filtering - Merging: Merged matrix has 1621200 rows and total weight 277627130 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 405.46/114.635
Info:Filtering - Merging: Total cpu/real time for replay: 64.09/55.2032
Info:Linear Algebra: Total cpu/real time for bwc: 42465.4/10934
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 27098.07, WCT time 6932.24, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50688 iterations)
Info:Linear Algebra: Lingen CPU time 326.84, WCT time 83.05
Info:Linear Algebra: Mksol: CPU time 14751.82,  WCT time 3809.63, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 40.46/11.1101
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23489350
Info:Lattice Sieving: Average J: 7761.62 for 53260 special-q, max bucket fill -bkmult 1.0,1s:1.070360
Info:Lattice Sieving: Total time: 78820.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5825.74
Info:Polynomial Selection (root optimized): Rootsieve time: 5822.75
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38644/37.260/45.745/49.960/0.861
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30597/36.810/41.024/46.560/0.937
Info:Polynomial Selection (size optimized): Total time: 5922.37
Info:Quadratic Characters: Total cpu/real time for characters: 62.87/27.9716
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 209426/26847.2
Info:root: Cleaning up computation data in /tmp/cado.rxw5r5ng
80593016687507116406305429336345594597524590728211968469032741808207 2109416482452742558045256743393406003629905831486340061389439

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)

2241591389363679540136321203744629743655703332977763081797661941440866883544197717911750425324559879673548326648376700564679473890517783557428627912631149<154>

28046019406273386902107531870075639289790094782012959<53>
79925473804039232734372380515070832056043266286387297447735640006016066546361839836474132231173895411<101>

Number: n
N=2241591389363679540136321203744629743655703332977763081797661941440866883544197717911750425324559879673548326648376700564679473890517783557428627912631149  ( 154 digits)
SNFS difficulty: 164 digits.
Divisors found:

Mon Nov 14 05:27:19 2022  p53 factor: 28046019406273386902107531870075639289790094782012959
Mon Nov 14 05:27:19 2022  p101 factor: 79925473804039232734372380515070832056043266286387297447735640006016066546361839836474132231173895411
Mon Nov 14 05:27:19 2022  elapsed time 00:09:10 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.297).
Factorization parameters were as follows:
#
# N = 19x10^164+5 = 63(163)5
#
n: 2241591389363679540136321203744629743655703332977763081797661941440866883544197717911750425324559879673548326648376700564679473890517783557428627912631149
m: 100000000000000000000000000000000
deg: 5
c5: 38000
c0: 1
skew: 0.12
# Murphy_E = 3.666e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2072736 hash collisions in 16307148 relations (15185943 unique)
Msieve: matrix is 519654 x 519881 (175.7 MB)

Sieving start time : 2022/11/14 04:31:35
Sieving end time  : 2022/11/14 05:17:48

Total sieving time: 0hrs 46min 13secs.

Total relation processing time: 0hrs 3min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 39sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

10101254475568725072209716962529464544193807852034337236562044475015233292707343312198239805761537144071775006613265188095575235637850521560367581297068447<155>

30669936122491189498175996150050042058006574607002309522511<59>
329353619623653875214429978641555286664137946656262629379202066183454806006903894872070570144177<96>

Number: n
N=10101254475568725072209716962529464544193807852034337236562044475015233292707343312198239805761537144071775006613265188095575235637850521560367581297068447  ( 155 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Nov 14 04:19:53 2022  p59 factor: 30669936122491189498175996150050042058006574607002309522511
Mon Nov 14 04:19:53 2022  p96 factor: 329353619623653875214429978641555286664137946656262629379202066183454806006903894872070570144177
Mon Nov 14 04:19:53 2022  elapsed time 00:08:31 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 19x10^165+5 = 63(164)5
#
n: 10101254475568725072209716962529464544193807852034337236562044475015233292707343312198239805761537144071775006613265188095575235637850521560367581297068447
m: 1000000000000000000000000000000000
deg: 5
c5: 19
c0: 5
skew: 0.77
# Murphy_E = 3.567e-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 1895044 hash collisions in 15551528 relations (14572250 unique)
Msieve: matrix is 530642 x 530868 (179.4 MB)

Sieving start time : 2022/11/14 03:26:36
Sieving end time  : 2022/11/14 04:11:00

Total sieving time: 0hrs 44min 24secs.

Total relation processing time: 0hrs 3min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

386263081519267822388106149901174666321188941287931378163332271194125496025630456767668473068283528584867326345121045353114510756621903956221340313557965073<156>

1207949991145399153712502294753061604039<40>
319767444307033325356474790184825407711948766421657679031291140356824868936774133200143286432337563361488800978511207<117>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 386263081519267822388106149901174666321188941287931378163332271194125496025630456767668473068283528584867326345121045353114510756621903956221340313557965073 (156 digits)
Using B1=25230000, B2=96190324246, polynomial Dickson(12), sigma=1:2054853069
Step 1 took 60215ms
Step 2 took 19459ms
********** Factor found in step 2: 1207949991145399153712502294753061604039
Found prime factor of 40 digits: 1207949991145399153712502294753061604039
Prime cofactor 319767444307033325356474790184825407711948766421657679031291140356824868936774133200143286432337563361488800978511207 has 117 digits

3866907773598602391543517796750540464419409773896218470266620535967423220292456985633966189767513575677957530038366609179714906562544454305699487975189596399<157>

3908300231548200008895425504404040488696901562964608443034605423204231957<73>
989409089502522489264980963302447821837250864530795912016737124984815531049028261107<84>

Number: n
N=3866907773598602391543517796750540464419409773896218470266620535967423220292456985633966189767513575677957530038366609179714906562544454305699487975189596399  ( 157 digits)
SNFS difficulty: 169 digits.
Divisors found:

Mon Nov 14 02:04:11 2022  p73 factor: 3908300231548200008895425504404040488696901562964608443034605423204231957
Mon Nov 14 02:04:11 2022  p84 factor: 989409089502522489264980963302447821837250864530795912016737124984815531049028261107
Mon Nov 14 02:04:11 2022  elapsed time 00:12:25 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 19x10^169+5 = 63(168)5
#
n: 3866907773598602391543517796750540464419409773896218470266620535967423220292456985633966189767513575677957530038366609179714906562544454305699487975189596399
m: 1000000000000000000000000000000000
deg: 5
c5: 38000
c0: 1
skew: 0.12
# Murphy_E = 2.332e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1802474 hash collisions in 14881910 relations (13945679 unique)
Msieve: matrix is 618800 x 619025 (213.5 MB)

Sieving start time : 2022/11/14 00:58:51
Sieving end time  : 2022/11/14 01:51:28

Total sieving time: 0hrs 52min 37secs.

Total relation processing time: 0hrs 5min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1416733484836161517690293791427054106295284791521468967814342938932152898289266284073191754708245576728303049529682575378640751823558981471539093709<148>

8835467880488553972388003731680740083833517175414643417722997<61>
160346175663741279608675159189827326342423765034495045036559585232845661109422965679097<87>

Number: n
N=1416733484836161517690293791427054106295284791521468967814342938932152898289266284073191754708245576728303049529682575378640751823558981471539093709  ( 148 digits)
SNFS difficulty: 171 digits.
Divisors found:

Mon Nov 14 22:14:05 2022  p61 factor: 8835467880488553972388003731680740083833517175414643417722997
Mon Nov 14 22:14:05 2022  p87 factor: 160346175663741279608675159189827326342423765034495045036559585232845661109422965679097
Mon Nov 14 22:14:05 2022  elapsed time 00:10:52 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 19x10^171+5 = 63(170)5
#
n: 1416733484836161517690293791427054106295284791521468967814342938932152898289266284073191754708245576728303049529682575378640751823558981471539093709
m: 10000000000000000000000000000000000
deg: 5
c5: 38
c0: 1
skew: 0.48
# Murphy_E = 2.809e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1388211 hash collisions in 13636864 relations (13093655 unique)
Msieve: matrix is 626261 x 626486 (217.0 MB)

Sieving start time : 2022/11/14 21:21:32
Sieving end time  : 2022/11/14 22:02:56

Total sieving time: 0hrs 41min 24secs.

Total relation processing time: 0hrs 5min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 50sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2377380315030022862516468641017543929872934702940811413925884096502639297267688283810815656529526381731765863362160622368659280903<130>

2199766665401940695557144773662428562334283145668063554623<58>
1080742040699861525976764555257721901783839138654643661599413847490594361<73>

New best polynomial is:
n: 2377380315030022862516468641017543929872934702940811413925884096502639297267688283810815656529526381731765863362160622368659280903
skew: 103457.563
c0: -351586195017479583624652586796
c1: -112885534645142455472601029
c2: -218742389875558061814
c3: 7818021759823007
c4: -33810903240
c5: 230400
Y0: -10501825241245801780508917
Y1: 2311375223792770811
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.181e+13) = 1.989e-06
# f(x) = 230400*x^5-33810903240*x^4+7818021759823007*x^3-218742389875558061814*
       x^2-112885534645142455472601029*x-351586195017479583624652586796
# g(x) = 2311375223792770811*x-10501825241245801780508917
Factors: 
    1080742040699861525976764555257721901783839138654643661599413847490594361 
        2199766665401940695557144773662428562334283145668063554623
Total cpu/elapsed time for entire Complete Factorization 244827/35219.3

CADO-NFS  v3.0.0

Ubuntu v20.04.4 LTS, Intel Xeon E5-1620

762408846783366700195159905275774720855122601380070111736458011077357014786182593352222752756565108529431<105>

93215279717924718351014863540691021689<38>
8179011521399320784147917991460601403085527252674103388913271544079<67>

N=762408846783366700195159905275774720855122601380070111736458011077357014786182593352222752756565108529431
  ( 105 digits)
Divisors found:
 r1=93215279717924718351014863540691021689 (pp38)
 r2=8179011521399320784147917991460601403085527252674103388913271544079 (pp67)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.06 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 762408846783366700195159905275774720855122601380070111736458011077357014786182593352222752756565108529431
skew: 2909005.72
c0: 266868376400497965183591777939
c1: -31524145356523826178803
c2: -99052775385033154
c3: 6519927568
c4: 8400
Y0: -17357094751906389640092916
Y1: 25948766709493
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1250000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 281053 x 281280
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,104,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,52,52,2.5,2.5,150000
total time: 0.06 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

4266916256263693656438448640864024670160002849059204133205658610685879464117580548995398057861292565889<103>

47097634632564398210101772016442917378196589989<47>
90597251635933509863043432241026822855153122336312093101<56>

Number: 1
N=4266916256263693656438448640864024670160002849059204133205658610685879464117580548995398057861292565889
  ( 103 digits)
Divisors found:
 r1=47097634632564398210101772016442917378196589989 (pp47)
 r2=90597251635933509863043432241026822855153122336312093101 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.43 hours.
Scaled time: 34.61 units (timescale=7.806).
Factorization parameters were as follows:
name: 1
n: 4266916256263693656438448640864024670160002849059204133205658610685879464117580548995398057861292565889
skew: 18131.91
# norm 3.13e+014
c5: 14760
c4: 103198752
c3: -14788279305306
c2: -37081293760207657
c1: -1076059173326712543094
c0: -2576834374613603957579415
# alpha -6.25
Y1: 18802388473
Y0: -49227221110526139586
# Murphy_E 2.35e-009
# M 1354239479313351144638624867334544819389075939511726435325757943011718234671260778816687499272688531035
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 283549 x 283777
Total sieving time: 4.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 4.43 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

2212221387478673905127288607590838808330855354990846655905110193350736870582964675425469137555035617350511774126346419464158061022273374045713422589764194895197<160>

88057512799269202169437497822463135779135935483<47>
45505679600926945928606224930138788158385151482469<50>
552073075832220161856730947238167389678513768581354718464921211<63>

Number: n
N=2212221387478673905127288607590838808330855354990846655905110193350736870582964675425469137555035617350511774126346419464158061022273374045713422589764194895197  ( 160 digits)
SNFS difficulty: 176 digits.
Divisors found:

Mon Nov 14 15:43:37 2022  found factor: 552073075832220161856730947238167389678513768581354718464921211
Mon Nov 14 15:44:51 2022  p47 factor: 88057512799269202169437497822463135779135935483
Mon Nov 14 15:44:51 2022  p50 factor: 45505679600926945928606224930138788158385151482469
Mon Nov 14 15:44:51 2022  p63 factor: 552073075832220161856730947238167389678513768581354718464921211
Mon Nov 14 15:44:51 2022  elapsed time 00:15:07 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 19x10^176+5 = 63(175)5
#
n: 2212221387478673905127288607590838808330855354990846655905110193350736870582964675425469137555035617350511774126346419464158061022273374045713422589764194895197
m: 100000000000000000000000000000000000
deg: 5
c5: 38
c0: 1
skew: 0.48
# Murphy_E = 1.773e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2600897 hash collisions in 18172366 relations (16581401 unique)
Msieve: matrix is 743550 x 743778 (251.8 MB)

Sieving start time : 2022/11/14 14:04:42
Sieving end time  : 2022/11/14 15:29:21

Total sieving time: 1hrs 24min 39secs.

Total relation processing time: 0hrs 7min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 6sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2695542835122933653001125972436336319014084043002047218622827888563167926994966626533302290017922365116775105833<112>

628315896193017640654663366514951504808246963979<48>
4290107653578872999821125061823420747717068776243898871372729627<64>

Number: 1
N=2695542835122933653001125972436336319014084043002047218622827888563167926994966626533302290017922365116775105833
  ( 112 digits)
Divisors found:
 r1=628315896193017640654663366514951504808246963979 (pp48)
 r2=4290107653578872999821125061823420747717068776243898871372729627 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.34 hours.
Scaled time: 89.52 units (timescale=7.893).
Factorization parameters were as follows:
name: 1
n: 2695542835122933653001125972436336319014084043002047218622827888563167926994966626533302290017922365116775105833
skew: 67625.14
# norm 3.74e+015
c5: 8160
c4: 230084714
c3: -174741074913627
c2: -603468898134073270
c1: 244366375300463009356320
c0: 883086337209825220675628975
# alpha -5.94
Y1: 122285141671
Y0: -3190003223367076340772
# Murphy_E 7.66e-010
# M 2311416571527037768477461240958280360643623172932040741888032823322139963877856518201230464888327168894491310649
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 475944 x 476168
Total sieving time: 11.24 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 11.34 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

13179395922621584451665572518954914843040158700033890568463102186443662024218418290844012758161857763652264050553671953987153662567513664704756353327377<152>

102620661220558492085351449036333568894700592697923495418249851<63>
128428288863737047247998094083869977937196060907910261141174531376697050448986275154291427<90>

13179395922621584451665572518954914843040158700033890568463102186443662024218418290844012758161857763652264050553671953987153662567513664704756353327377=102620661220558492085351449036333568894700592697923495418249851*128428288863737047247998094083869977937196060907910261141174531376697050448986275154291427

cado polynomial
n: 13179395922621584451665572518954914843040158700033890568463102186443662024218418290844012758161857763652264050553671953987153662567513664704756353327377
skew: 0.19
type: snfs
c0: 1
c5: 3800
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 3800*x^5+1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6600000
tasks.lim1 = 6600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 128428288863737047247998094083869977937196060907910261141174531376697050448986275154291427 102620661220558492085351449036333568894700592697923495418249851
Info:Square Root: Total cpu/real time for sqrt: 471.15/147.344
Info:Filtering - Singleton removal: Total cpu/real time for purge: 125.34/112.835
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.58/91.1919
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 91.1s
Info:Quadratic Characters: Total cpu/real time for characters: 34.41/18.8838
Info:Generate Free Relations: Total cpu/real time for freerel: 119.11/32.7911
Info:Square Root: Total cpu/real time for sqrt: 471.15/147.344
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22413518
Info:Lattice Sieving: Average J: 1896.16 for 904815 special-q, max bucket fill -bkmult 1.0,1s:1.183770
Info:Lattice Sieving: Total time: 147375s
Info:Filtering - Merging: Merged matrix has 1011671 rows and total weight 173106143 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 251.49/70.6796
Info:Filtering - Merging: Total cpu/real time for replay: 35.02/30.6349
Info:Generate Factor Base: Total cpu/real time for makefb: 2.83/1.69683
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 228.4/218.487
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 202.8s
Info:Linear Algebra: Total cpu/real time for bwc: 15991.8/4321.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10123.61, WCT time 2709.76, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (31744 iterations)
Info:Linear Algebra: Lingen CPU time 187.91, WCT time 49.13
Info:Linear Algebra: Mksol: CPU time 5512.32,  WCT time 1482.19, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15872 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 287318/42195.9
128428288863737047247998094083869977937196060907910261141174531376697050448986275154291427 102620661220558492085351449036333568894700592697923495418249851

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)

16673336586419878259930481870055174904107279767333750406722046075709487600843166741177239545601403339734895619477871075540876947636096077938191<143>

249093508589744591434298215022665447008505121125289677<54>
66936054178275502613016095328895879277406586563372201714035227670337589044533704942635083<89>

16673336586419878259930481870055174904107279767333750406722046075709487600843166741177239545601403339734895619477871075540876947636096077938191=249093508589744591434298215022665447008505121125289677*66936054178275502613016095328895879277406586563372201714035227670337589044533704942635083

cado polynomial
n: 16673336586419878259930481870055174904107279767333750406722046075709487600843166741177239545601403339734895619477871075540876947636096077938191
skew: 0.30
type: snfs
c0: 1
c5: 380
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 380*x^5+1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7700000
tasks.lim1 = 7700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 249093508589744591434298215022665447008505121125289677 66936054178275502613016095328895879277406586563372201714035227670337589044533704942635083
Info:Square Root: Total cpu/real time for sqrt: 363.08/69.5186
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.41/0.863993
Info:Generate Free Relations: Total cpu/real time for freerel: 98.02/12.5413
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22417978
Info:Lattice Sieving: Average J: 1896.59 for 1237354 special-q, max bucket fill -bkmult 1.0,1s:1.120930
Info:Lattice Sieving: Total time: 214914s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.01/40.2229
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 247.99/72.684
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.69999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 117.89/48.7257
Info:Filtering - Merging: Merged matrix has 1302590 rows and total weight 222557262 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 276.99/41.1154
Info:Filtering - Merging: Total cpu/real time for replay: 42.65/35.4527
Info:Linear Algebra: Total cpu/real time for bwc: 17731.3/4629.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2941.93, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (40960 iterations)
Info:Linear Algebra: Lingen CPU time 139.31, WCT time 37.85
Info:Linear Algebra: Mksol: WCT time 1602.12, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20480 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 50.75/13.3284
Info:Square Root: Total cpu/real time for sqrt: 363.08/69.5186
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 452831/112801
Info:root: Cleaning up computation data in /tmp/cado.22nedva3
249093508589744591434298215022665447008505121125289677 66936054178275502613016095328895879277406586563372201714035227670337589044533704942635083

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)

360653403428286368848708569066096553679342150421550025840922327706351962971735932023797710845805904783689023943633875962381324480353356551581<141>

955039195087474156988224510739968842897306549622744396408914229<63>
377632044091398075175410464246073970402260821462286054428385417784718665938889<78>

360653403428286368848708569066096553679342150421550025840922327706351962971735932023797710845805904783689023943633875962381324480353356551581=955039195087474156988224510739968842897306549622744396408914229*377632044091398075175410464246073970402260821462286054428385417784718665938889

cado polynomial
n: 360653403428286368848708569066096553679342150421550025840922327706351962971735932023797710845805904783689023943633875962381324480353356551581
skew: 0.19
type: snfs
c0: 1
c5: 3800
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 3800*x^5+1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8000000
tasks.lim1 = 8000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 377632044091398075175410464246073970402260821462286054428385417784718665938889 955039195087474156988224510739968842897306549622744396408914229
Info:Square Root: Total cpu/real time for sqrt: 345.23/112.256
Info:Square Root: Total cpu/real time for sqrt: 345.23/112.256
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.35/90.9252
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.25/99.205
Info:Filtering - Merging: Merged matrix has 1316367 rows and total weight 225195671 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 328.86/91.7709
Info:Filtering - Merging: Total cpu/real time for replay: 47.14/41.1801
Info:Quadratic Characters: Total cpu/real time for characters: 44.54/21.6399
Info:Generate Factor Base: Total cpu/real time for makefb: 3.42/1.8962
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22415603
Info:Lattice Sieving: Average J: 1895.62 for 1266399 special-q, max bucket fill -bkmult 1.0,1s:1.173640
Info:Lattice Sieving: Total time: 219168s
Info:Linear Algebra: Total cpu/real time for bwc: 27586.8/7358.47
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17509.88, WCT time 4629.4, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41216 iterations)
Info:Linear Algebra: Lingen CPU time 263.19, WCT time 68.22
Info:Linear Algebra: Mksol: CPU time 9586.22,  WCT time 2574.07, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.1/31.4562
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 246.35/267.315
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 255.0s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 434294/118105
Info:root: Cleaning up computation data in /tmp/cado.tb0tqli2
377632044091398075175410464246073970402260821462286054428385417784718665938889 955039195087474156988224510739968842897306549622744396408914229

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)

103355784836396678073607552885473053383194680379782949630950924784967893224044082193758717055961916181065293769212485046361634903366734750785828984701311787886735847154619727191139<180>

29380429711540876794664524052873787<35>

3517844560176656212139332745762043457668705584204848914308822843131811189248779370412430080964167043602422093297639665013307260222270477692437497<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1390515622
Step 1 took 5390ms
Step 2 took 2797ms
********** Factor found in step 2: 29380429711540876794664524052873787
Found prime factor of 35 digits: 29380429711540876794664524052873787
Composite cofactor 3517844560176656212139332745762043457668705584204848914308822843131811189248779370412430080964167043602422093297639665013307260222270477692437497 has 145 digits

GMP-ECM

3517844560176656212139332745762043457668705584204848914308822843131811189248779370412430080964167043602422093297639665013307260222270477692437497<145>

92717231146449923255074890552427134705134693986645559<53>
37941648134639663199716336352794435067261224577244067213347271440838642591114839286648667983<92>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 3517844560176656212139332745762043457668705584204848914308822843131811189248779370412430080964167043602422093297639665013307260222270477692437497 (145 digits)
Using B1=21810000, B2=96186870796, polynomial Dickson(12), sigma=1:704575644
Step 1 took 39399ms
Step 2 took 14624ms
********** Factor found in step 2: 92717231146449923255074890552427134705134693986645559
Found prime factor of 53 digits: 92717231146449923255074890552427134705134693986645559
Prime cofactor 37941648134639663199716336352794435067261224577244067213347271440838642591114839286648667983 has 92 digits

214214300837177687159102542507404908545042578989386652971149837965607589633287212487544600667202859936602504947465293355622437113689673392199250522418798313<156>

680862884690583140041620742943000574000664880567<48>
314621791925883835026913060094584151834988319156504228390892788346160825400042946847219932491009131088748639<108>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 214214300837177687159102542507404908545042578989386652971149837965607589633287212487544600667202859936602504947465293355622437113689673392199250522418798313 (156 digits)
Using B1=32070000, B2=144291357226, polynomial Dickson(12), sigma=1:3563065870
Step 1 took 76038ms
Step 2 took 24701ms
********** Factor found in step 2: 680862884690583140041620742943000574000664880567
Found prime factor of 48 digits: 680862884690583140041620742943000574000664880567
Prime cofactor 314621791925883835026913060094584151834988319156504228390892788346160825400042946847219932491009131088748639 has 108 digits

1068931160464951831394760709202235047412607073395937557773993244810452947026424497750417090693485706892413309354476583852268541977<130>

770218996544138613279807866096178502324290173<45>
1387827572756698486417815040102120663457132952765140587682892327179001969234978169549<85>

1068931160464951831394760709202235047412607073395937557773993244810452947026424497750417090693485706892413309354476583852268541977=770218996544138613279807866096178502324290173*1387827572756698486417815040102120663457132952765140587682892327179001969234978169549

cado polynomial
n: 1068931160464951831394760709202235047412607073395937557773993244810452947026424497750417090693485706892413309354476583852268541977
skew: 22762.305
c0: -14165893392190346789858669794
c1: -3264053807816948197706411
c2: 714686071022417915538
c3: 11691496673772541
c4: -432950574174
c5: 5904360
Y0: -4049852464969181799282680
Y1: 161173129594867057
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.970e-07
# f(x) = 5904360*x^5-432950574174*x^4+11691496673772541*x^3+714686071022417915538*x^2-3264053807816948197706411*x-14165893392190346789858669794
# g(x) = 161173129594867057*x-4049852464969181799282680

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

cado log (extracts)
Info:Square Root: Factors: 1387827572756698486417815040102120663457132952765140587682892327179001969234978169549 770218996544138613279807866096178502324290173
Info:Square Root: Total cpu/real time for sqrt: 829.55/247.983
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 269.11/229.245
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 214.2s
Info:Square Root: Total cpu/real time for sqrt: 829.55/247.983
Info:Generate Free Relations: Total cpu/real time for freerel: 256.18/64.6237
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.87/123.475
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.48/110.239
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 110.1s
Info:Filtering - Merging: Merged matrix has 1784369 rows and total weight 304786848 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 478.87/133.944
Info:Filtering - Merging: Total cpu/real time for replay: 72.86/61.4923
Info:Generate Factor Base: Total cpu/real time for makefb: 39.16/10.7767
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23132785
Info:Lattice Sieving: Average J: 7570.56 for 55226 special-q, max bucket fill -bkmult 1.0,1s:1.070990
Info:Lattice Sieving: Total time: 85654.8s
Info:Linear Algebra: Total cpu/real time for bwc: 51720.2/13296.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33066.42, WCT time 8455.27, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55808 iterations)
Info:Linear Algebra: Lingen CPU time 350.85, WCT time 89.54
Info:Linear Algebra: Mksol: CPU time 17973.43,  WCT time 4629.14, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5462.62
Info:Polynomial Selection (root optimized): Rootsieve time: 5460.05
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38276/38.680/46.050/49.650/0.851
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30481/37.750/41.318/46.860/0.961
Info:Polynomial Selection (size optimized): Total time: 4905.26
Info:Quadratic Characters: Total cpu/real time for characters: 71.32/30.8652
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 230112/36634
Info:root: Cleaning up computation data in /tmp/cado.d5jkmkxo
1387827572756698486417815040102120663457132952765140587682892327179001969234978169549 770218996544138613279807866096178502324290173

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)

19003291104800059791941677527238046668710328987306126541559458648192425860222676251627250482731916508918674550203047513641352128373<131>

74269300125586100277378918085146905047745892059117<50>
255870071115068209649271587952713193182314635662137293112087050061395068960332969<81>

11/16/22 10:07:12, nfs: commencing nfs on c131: 19003291104800059791941677527238046668710328987306126541559458648192425860222676251627250482731916508918674550203047513641352128373
11/16/22 10:07:12, nfs: commencing poly selection with 46 threads
11/16/22 10:07:12, nfs: setting deadline of 1252 seconds
11/16/22 10:07:12, nfs: expecting degree 5 poly E from 6.28e-11 to > 7.23e-11
11/16/22 10:07:12, nfs: searching for avg quality poly E > 6.51e-11
11/16/22 10:10:34, nfs: completed 56 ranges of size 250 in 201.6432 seconds
11/16/22 10:10:34, nfs: best poly = # norm 1.822361e-12 alpha -6.716449 e 7.809e-11 rroots 5
11/16/22 10:10:34, nfs: commencing lattice sieving with 46 threads
11/16/22 10:12:52, nfs: commencing lattice sieving with 46 threads
11/16/22 10:15:22, nfs: commencing lattice sieving with 46 threads
11/16/22 10:17:46, nfs: commencing lattice sieving with 46 threads
11/16/22 10:20:18, nfs: commencing lattice sieving with 46 threads
11/16/22 10:22:50, nfs: commencing lattice sieving with 46 threads
11/16/22 10:25:17, nfs: commencing lattice sieving with 46 threads
11/16/22 10:27:57, nfs: commencing lattice sieving with 46 threads
11/16/22 10:30:28, nfs: commencing lattice sieving with 46 threads
11/16/22 10:32:52, nfs: commencing lattice sieving with 46 threads
11/16/22 10:35:35, nfs: commencing lattice sieving with 46 threads
11/16/22 10:38:02, nfs: commencing lattice sieving with 46 threads
11/16/22 10:40:22, nfs: commencing lattice sieving with 46 threads
11/16/22 10:42:43, nfs: commencing lattice sieving with 46 threads
11/16/22 10:45:16, nfs: commencing lattice sieving with 46 threads
11/16/22 10:47:48, nfs: commencing lattice sieving with 46 threads
11/16/22 10:50:16, nfs: commencing lattice sieving with 46 threads
11/16/22 10:52:50, nfs: commencing lattice sieving with 46 threads
11/16/22 10:55:15, nfs: commencing lattice sieving with 46 threads
11/16/22 10:57:44, nfs: commencing lattice sieving with 46 threads
11/16/22 11:00:25, nfs: commencing lattice sieving with 46 threads
11/16/22 11:02:54, nfs: commencing lattice sieving with 46 threads
11/16/22 11:05:13, nfs: commencing lattice sieving with 46 threads
11/16/22 11:08:08, nfs: commencing lattice sieving with 46 threads
11/16/22 11:10:38, nfs: commencing lattice sieving with 46 threads
11/16/22 11:13:08, nfs: commencing lattice sieving with 46 threads
11/16/22 11:15:49, nfs: commencing lattice sieving with 46 threads
11/16/22 11:18:20, nfs: commencing lattice sieving with 46 threads
11/16/22 11:20:59, nfs: commencing lattice sieving with 46 threads
11/16/22 11:23:43, nfs: commencing lattice sieving with 46 threads
11/16/22 11:26:22, nfs: commencing lattice sieving with 46 threads
11/16/22 11:29:10, nfs: commencing lattice sieving with 46 threads
11/16/22 11:31:58, nfs: commencing lattice sieving with 46 threads
11/16/22 11:34:33, nfs: commencing lattice sieving with 46 threads
11/16/22 11:37:01, nfs: commencing lattice sieving with 46 threads
11/16/22 11:39:34, nfs: commencing lattice sieving with 46 threads
11/16/22 11:42:05, nfs: commencing lattice sieving with 46 threads
11/16/22 11:44:42, nfs: commencing lattice sieving with 46 threads
11/16/22 11:47:25, nfs: commencing lattice sieving with 46 threads
11/16/22 11:50:12, nfs: commencing lattice sieving with 46 threads
11/16/22 11:52:48, nfs: commencing lattice sieving with 46 threads
11/16/22 11:55:31, nfs: commencing lattice sieving with 46 threads
11/16/22 11:58:17, nfs: commencing lattice sieving with 46 threads
11/16/22 12:00:52, nfs: commencing lattice sieving with 46 threads
11/16/22 12:03:37, nfs: commencing lattice sieving with 46 threads
11/16/22 12:06:23, nfs: commencing lattice sieving with 46 threads
11/16/22 12:08:59, nfs: commencing lattice sieving with 46 threads
11/16/22 12:11:47, nfs: commencing lattice sieving with 46 threads
11/16/22 12:14:22, nfs: commencing lattice sieving with 46 threads
11/16/22 12:17:08, nfs: commencing lattice sieving with 46 threads
11/16/22 12:19:46, nfs: commencing lattice sieving with 46 threads
11/16/22 12:22:25, nfs: commencing lattice sieving with 46 threads
11/16/22 12:24:59, nfs: commencing lattice sieving with 46 threads
11/16/22 12:27:37, nfs: commencing lattice sieving with 46 threads
11/16/22 12:30:17, nfs: commencing lattice sieving with 46 threads
11/16/22 12:33:00, nfs: commencing lattice sieving with 46 threads
11/16/22 12:35:45, nfs: commencing msieve filtering
11/16/22 12:40:56, nfs: commencing msieve linear algebra
11/16/22 12:57:34, nfs: commencing msieve sqrt
11/16/22 12:59:51, prp50 = 74269300125586100277378918085146905047745892059117
11/16/22 12:59:51, prp81 = 255870071115068209649271587952713193182314635662137293112087050061395068960332969
11/16/22 12:59:51, NFS elapsed time = 10358.9950 seconds.
11/16/22 12:59:51, 
11/16/22 12:59:51, 

Yafu

3331825156372418544612652221994635182812818509881005355093518501445350136814824075730000918969985893139967528558103650678193448977652685863608598293879306545125893583450992793148203274267<187>

3900860863377221520746468784288353712643577135805575864939938775328761<70>
854125607927437627216329157847164340948590182841449833572618211880937700143481170276315414351460377038065402453722547<117>

Number: n
N=3331825156372418544612652221994635182812818509881005355093518501445350136814824075730000918969985893139967528558103650678193448977652685863608598293879306545125893583450992793148203274267  ( 187 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Nov 22 22:02:18 2022  p70 factor: 3900860863377221520746468784288353712643577135805575864939938775328761
Tue Nov 22 22:02:18 2022  p117 factor: 854125607927437627216329157847164340948590182841449833572618211880937700143481170276315414351460377038065402453722547
Tue Nov 22 22:02:18 2022  elapsed time 01:16:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 19x10^194+5 = 63(193)5
#
n: 3331825156372418544612652221994635182812818509881005355093518501445350136814824075730000918969985893139967528558103650678193448977652685863608598293879306545125893583450992793148203274267
m: 100000000000000000000000000000000000000
deg: 5
c5: 38000
c0: 1
skew: 0.12
# Murphy_E = 2.27e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18973081)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1735689 hash collisions in 13441387 relations (12435552 unique)
Msieve: matrix is 1882498 x 1882723 (657.1 MB)

Sieving start time : 2022/11/22 14:48:28
Sieving end time  : 2022/11/22 20:45:29

Total sieving time: 5hrs 57min 1secs.

Total relation processing time: 1hrs 8min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 14sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1461220386314422706500857060654822973475880169227128321656543770347217644896733538030874747587026666296651601887290210216598230866647415705454975504956150102900860474526443<172>

17679119936318148059523236612302545953<38>
82652326110002980938761015749252448118211100080974385838248938739672819641644734227796785430715009896393000615307789374988316114472331<134>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1461220386314422706500857060654822973475880169227128321656543770347217644896733538030874747587026666296651601887290210216598230866647415705454975504956150102900860474526443 (172 digits)
Using B1=25150000, B2=96190324246, polynomial Dickson(12), sigma=1:2331530161
Step 1 took 61607ms
Step 2 took 20335ms
********** Factor found in step 2: 17679119936318148059523236612302545953
Found prime factor of 38 digits: 17679119936318148059523236612302545953
Prime cofactor 82652326110002980938761015749252448118211100080974385838248938739672819641644734227796785430715009896393000615307789374988316114472331 has 134 digits

100142735880818214980477938943952833661383952561342563349683619270801853678977287866016775496428847758163650369859306910827939949<129>

157573977211196197169709262844740777964705651<45>
635528388971213413217119405369183305138854240784541994836718727392046464442291005599<84>

100142735880818214980477938943952833661383952561342563349683619270801853678977287866016775496428847758163650369859306910827939949=157573977211196197169709262844740777964705651*635528388971213413217119405369183305138854240784541994836718727392046464442291005599

cado polynomial
n: 100142735880818214980477938943952833661383952561342563349683619270801853678977287866016775496428847758163650369859306910827939949
skew: 41508.623
c0: 826495502467265898856816850
c1: 5080732509536603366652781
c2: -216665603472942752988
c3: -6401512281056993
c4: 12352037270
c5: 730800
Y0: -4239481146592761696243740
Y1: 151498012935116707
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.501e-07
# f(x) = 730800*x^5+12352037270*x^4-6401512281056993*x^3-216665603472942752988*x^2+5080732509536603366652781*x+826495502467265898856816850
# g(x) = 151498012935116707*x-4239481146592761696243740

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

cado log (extracts)
Info:Square Root: Factors: 157573977211196197169709262844740777964705651 635528388971213413217119405369183305138854240784541994836718727392046464442291005599
Info:Square Root: Total cpu/real time for sqrt: 760.52/230.789
Info:Generate Factor Base: Total cpu/real time for makefb: 39.18/10.7699
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 267.95/227.676
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 212.6s
Info:Square Root: Total cpu/real time for sqrt: 760.52/230.789
Info:Generate Free Relations: Total cpu/real time for freerel: 256.55/65.0012
Info:Filtering - Singleton removal: Total cpu/real time for purge: 111.72/126.964
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.1/107.967
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 107.8s
Info:Filtering - Merging: Merged matrix has 1724798 rows and total weight 295189943 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 446.85/125.829
Info:Filtering - Merging: Total cpu/real time for replay: 70.24/58.8816
Info:Linear Algebra: Total cpu/real time for bwc: 48703.4/12521.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 31148.57, WCT time 7963.29, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54016 iterations)
Info:Linear Algebra: Lingen CPU time 337.66, WCT time 85.73
Info:Linear Algebra: Mksol: CPU time 16901.73,  WCT time 4354.7, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27136 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23052099
Info:Lattice Sieving: Average J: 7627.02 for 52028 special-q, max bucket fill -bkmult 1.0,1s:1.074560
Info:Lattice Sieving: Total time: 95320.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5492.45
Info:Polynomial Selection (root optimized): Rootsieve time: 5489.31
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38832/37.890/45.666/50.450/0.854
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30799/37.420/40.930/46.470/0.919
Info:Polynomial Selection (size optimized): Total time: 6599.17
Info:Quadratic Characters: Total cpu/real time for characters: 68.73/29.6172
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 249351/23604.1
Info:root: Cleaning up computation data in /tmp/cado.f7__0mrs
157573977211196197169709262844740777964705651 635528388971213413217119405369183305138854240784541994836718727392046464442291005599

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)

2303080886454314355972019894713051081222078757057601135430207373844007937626090428778069931039948553872598733120231987478572948582319873247714311844999475867497<160>

117293743510576252973118143643640967956699004343081487920300917<63>
19635155444132005087111759475034639571995621343318986301833966304183159857496786946730089172664741<98>

Number: n
N=2303080886454314355972019894713051081222078757057601135430207373844007937626090428778069931039948553872598733120231987478572948582319873247714311844999475867497  ( 160 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat May 27 14:28:14 2023  prp63 factor: 117293743510576252973118143643640967956699004343081487920300917
Sat May 27 14:28:14 2023  prp98 factor: 19635155444132005087111759475034639571995621343318986301833966304183159857496786946730089172664741
Sat May 27 14:28:14 2023  elapsed time 03:10:05 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.109).
Factorization parameters were as follows:
#
# N = 19x10^199+5 = 63(198)5
#
n: 2303080886454314355972019894713051081222078757057601135430207373844007937626090428778069931039948553872598733120231987478572948582319873247714311844999475867497
m: 1000000000000000000000000000000000000000
deg: 5
c5: 38000
c0: 1
skew: 0.12
# Murphy_E = 1.406e-11
type: snfs
lss: 1
rlim: 14800000
alim: 14800000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 40200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1915436 hash collisions in 13936366 relations (12743781 unique)
Msieve: matrix is 2448048 x 2448274 (696.8 MB)

Sieving start time: 2023/05/26 20:51:15
Sieving end time  : 2023/05/27 11:17:54

Total sieving time: 14hrs 26min 39secs.

Total relation processing time: 3hrs 2min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 35sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14800000,14800000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3897221347887550211360209288189520392848334327089784327295955845865349919862579665540667053132731520626569591224340206746411603864668918907984982442613150595361105189147011<172>

174881408367387074215420884611654644778915777293598354556132511<63>
22284938028977625968234147614681237570283615814421529224158584054560386086303588952966705462932650170288569501<110>

Number: n
N=3897221347887550211360209288189520392848334327089784327295955845865349919862579665540667053132731520626569591224340206746411603864668918907984982442613150595361105189147011  ( 172 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue May 30 00:02:59 2023  prp63 factor: 174881408367387074215420884611654644778915777293598354556132511
Tue May 30 00:02:59 2023  prp110 factor: 22284938028977625968234147614681237570283615814421529224158584054560386086303588952966705462932650170288569501
Tue May 30 00:02:59 2023  elapsed time 02:10:41 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 19x10^201+5 = 63(200)5
#
n: 3897221347887550211360209288189520392848334327089784327295955845865349919862579665540667053132731520626569591224340206746411603864668918907984982442613150595361105189147011
m: 10000000000000000000000000000000000000000
deg: 5
c5: 38
c0: 1
skew: 0.48
# Murphy_E = 1.663e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2205239 hash collisions in 15864019 relations (14503517 unique)
Msieve: matrix is 2040804 x 2041029 (577.3 MB)

Sieving start time: 2023/05/29 07:10:08
Sieving end time  : 2023/05/29 21:52:01

Total sieving time: 14hrs 41min 53secs.

Total relation processing time: 2hrs 4min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

156146241091003189742883185115841839880860289301017896755286530205292538467475797484263036684107019960107389450257958163802117108192059485441<141>

381283663573703379210801804612429720749<39>
63888000605576435608050599321824994211174084347<47>
6410088697985857057605270993790049603341640072404446047<55>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2580380799
Step 1 took 23897ms
********** Factor found in step 1: 381283663573703379210801804612429720749
Found prime factor of 39 digits: 381283663573703379210801804612429720749
Composite cofactor 409527750618719101354010825131805570214249482570825451942836448489567378538633961356350394626988726309 has 102 digits
----
N=409527750618719101354010825131805570214249482570825451942836448489567378538633961356350394626988726309
  ( 102 digits)
Divisors found:
 r1=63888000605576435608050599321824994211174084347 (pp47)
 r2=6410088697985857057605270993790049603341640072404446047 (pp55)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.82 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 409527750618719101354010825131805570214249482570825451942836448489567378538633961356350394626988726309
skew: 1249288.07
c0: 20731401619648485214912336005
c1: 5621087968245873832734
c2: -54224781384244453
c3: -7625456302
c4: 21840
Y0: -2080932172862491319291048
Y1: 13684643233973
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2080000/2080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1040000, 1440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 208103 x 208330
Total sieving time: 2.77 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,101,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2080000,2080000,26,26,52,52,2.5,2.5,100000
total time: 2.82 hours.
 --------- CPU info (if available) ----------

8218531985746719713014794330155760655715270456346222189642749987256457998983160533559853870681733908870359264742062847309039857759448162102154234095942361335215853539613841651<175>

5026548601754374082565568588768763697375007<43>
1635024872310649588205098132422354663162973311455704400994753317179221895343584853189287192203606002232672759035143752985129001138093<133>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2262121090
Step 1 took 52552ms
Step 2 took 21916ms
********** Factor found in step 2: 5026548601754374082565568588768763697375007
Found prime factor of 43 digits: 5026548601754374082565568588768763697375007
Prime cofactor 1635024872310649588205098132422354663162973311455704400994753317179221895343584853189287192203606002232672759035143752985129001138093 has 133 digits

449220234845321273400865540473592515219804046952206053249402785926616337823638544964737020289593653622866809731410674218832221763589<132>

26059008410204148623083029234438313957091<41>
17238577453676873868040908103674959046672735764697440967823206733566947504812243546063487479<92>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3736207216
Step 1 took 4266ms
Step 2 took 2390ms
********** Factor found in step 2: 26059008410204148623083029234438313957091
Found prime factor of 41 digits: 26059008410204148623083029234438313957091
Prime cofactor 17238577453676873868040908103674959046672735764697440967823206733566947504812243546063487479 has 92 digits

GMP-ECM

12742203518745136558481051573756642941707978027162574517880310486394599179219969978788712250059530841668231217656747915969184369383074217134504578049559278710227488487<167>

1045620554244560808364792099800371810338001<43>
12186259601554136109093512293764054867340013486688443932606409697221303156869803952505774588945004104886598004024032476882487<125>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4103424805
Step 1 took 45964ms
Step 2 took 21132ms
********** Factor found in step 2: 1045620554244560808364792099800371810338001
Found prime factor of 43 digits: 1045620554244560808364792099800371810338001
Prime cofactor 12186259601554136109093512293764054867340013486688443932606409697221303156869803952505774588945004104886598004024032476882487 has 125 digits

191591420534507051322105907794745291040414102470534551584598684511924718768523510814984605804891952091900909434931746948559607291761525509445050741691223501879735316111549249<174>

111120651634855435521980981113849273838387363677494179<54>
1724174739040228863064557716984634711367496877152721714772764863278855978803894150463870790024063587070765284041164944331<121>

07/24/24 16:33:32 v1.34.5 @ RYZEN-9,
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, ****************************
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, Starting factorization of 19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, using pretesting plan: normal
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, ****************************
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, div: found prime factor = 3
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, div: found prime factor = 5
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, div: found prime factor = 7
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, div: found prime factor = 239
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C204
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C204
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C204
07/24/24 16:33:32 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C204
07/24/24 16:33:33 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
07/24/24 16:33:33 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 62.77
07/24/24 16:33:33 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C204 input, B1=2K, B2=gmp-ecm default
07/24/24 16:33:33 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
07/24/24 16:33:33 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 62.77
07/24/24 16:33:35 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C204 input, B1=11K, B2=gmp-ecm default
07/24/24 16:33:35 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
07/24/24 16:33:35 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 62.77
07/24/24 16:34:06 v1.34.5 @ RYZEN-9, Finished 214 curves using Lenstra ECM method on C204 input, B1=50K, B2=gmp-ecm default
07/24/24 16:34:06 v1.34.5 @ RYZEN-9, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C204
07/24/24 16:34:07 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 25.33
07/24/24 16:34:07 v1.34.5 @ RYZEN-9, scheduled 430 curves at B1=250000 toward target pretesting depth of 62.77
07/24/24 16:35:03 v1.34.5 @ RYZEN-9, prp31 = 3951758021016326832486904745171 (curve 83 stg2 B1=250000 sigma=3613077101 thread=0)
07/24/24 16:35:03 v1.34.5 @ RYZEN-9, Finished 83 curves using Lenstra ECM method on C204 input, B1=250K, B2=gmp-ecm default
07/24/24 16:35:03 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 26.30
07/24/24 16:35:03 v1.34.5 @ RYZEN-9, scheduled 347 curves at B1=250000 toward target pretesting depth of 53.54
07/24/24 16:36:38 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005
07/24/24 16:36:38 v1.34.5 @ RYZEN-9, nfs: input divides 19*10^207 + 5
07/24/24 16:36:38 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 191591420534507051322105907794745291040414102470534551584598684511924718768523510814984605804891952091900909434931746948559607291761525509445050741691223501879735316111549249
07/24/24 16:36:38 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c174: 191591420534507051322105907794745291040414102470534551584598684511924718768523510814984605804891952091900909434931746948559607291761525509445050741691223501879735316111549249
07/24/24 16:36:38 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 191591420534507051322105907794745291040414102470534551584598684511924718768523510814984605804891952091900909434931746948559607291761525509445050741691223501879735316111549249
# 19*10^207+5, difficulty: 210.28, anorm: 3.90e+031, rnorm: 1.81e+047
# scaled difficulty: 212.89, suggest sieving rational side
# size = 1.968e-014, alpha = 1.074, combined = 7.134e-012, rroots = 1
type: snfs
size: 210
skew: 0.3048
c5: 380
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 191591420534507051322105907794745291040414102470534551584598684511924718768523510814984605804891952091900909434931746948559607291761525509445050741691223501879735316111549249
# 19*10^207+5, difficulty: 209.18, anorm: 5.51e+031, rnorm: 2.56e+047
# scaled difficulty: 211.79, suggest sieving rational side
# size = 1.687e-014, alpha = 0.843, combined = 6.488e-012, rroots = 1
type: snfs
size: 209
skew: 0.6096
c5: 95
c0: 8
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 191591420534507051322105907794745291040414102470534551584598684511924718768523510814984605804891952091900909434931746948559607291761525509445050741691223501879735316111549249
# 19*10^207+5, difficulty: 211.28, anorm: 1.23e+038, rnorm: 1.99e+040
# scaled difficulty: 211.28, suggest sieving algebraic side
# size = 2.520e-010, alpha = -0.915, combined = 6.440e-012, rroots = 0
type: snfs
size: 211
skew: 0.2531
c6: 3800
c0: 1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
07/24/24 16:36:40 v1.34.5 @ RYZEN-9, test: fb generation took 1.7344 seconds
07/24/24 16:36:40 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.3048
c5: 380
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
07/24/24 16:39:48 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
07/24/24 16:39:49 v1.34.5 @ RYZEN-9, test: fb generation took 1.6875 seconds
07/24/24 16:39:49 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.6096
c5: 95
c0: 8
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
07/24/24 16:42:56 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
07/24/24 16:42:59 v1.34.5 @ RYZEN-9, test: fb generation took 2.6719 seconds
07/24/24 16:42:59 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 22600000-22602000
skew: 0.2531
c6: 3800
c0: 1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
07/24/24 16:45:34 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
07/24/24 16:45:34 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 191591420534507051322105907794745291040414102470534551584598684511924718768523510814984605804891952091900909434931746948559607291761525509445050741691223501879735316111549249
# 19*10^207+5, difficulty: 210.28, anorm: 3.90e+031, rnorm: 1.81e+047
# scaled difficulty: 212.89, suggest sieving rational side
# size = 1.968e-014, alpha = 1.074, combined = 7.134e-012, rroots = 1
type: snfs
size: 210
skew: 0.3048
c5: 380
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
07/25/24 18:41:33 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
07/25/24 18:43:38 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22167063
07/25/24 20:12:29 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
07/25/24 20:14:40 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23318364
07/25/24 21:55:40 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
07/25/24 21:57:59 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24620595
07/25/24 23:39:49 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
07/25/24 23:42:13 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25909650
07/26/24 01:37:00 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
07/26/24 01:41:36 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
07/26/24 05:41:31 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
07/26/24 05:45:18 v1.34.5 @ RYZEN-9, prp121 = 1724174739040228863064557716984634711367496877152721714772764863278855978803894150463870790024063587070765284041164944331
07/26/24 05:45:18 v1.34.5 @ RYZEN-9, prp54 = 111120651634855435521980981113849273838387363677494179
07/26/24 05:45:18 v1.34.5 @ RYZEN-9, NFS elapsed time = 133720.2175 seconds.
07/26/24 05:45:18 v1.34.5 @ RYZEN-9,
07/26/24 05:45:18 v1.34.5 @ RYZEN-9,
07/24/24 16:45:34 v1.34.5 @ RYZEN-9, test: test sieving took 535.59 seconds

YAFU

19254286248076006183689557784181719656624869249811847494466846686838018253064870409234332280983006575411747142778239346652371083237478150013853769478209979851089595605228521814991814645235899<191>

506891184732044829860714725401565594084227012108715538403119647261253736916586721359<84>
37985048523292620137983734491658683341253106911385412205238231982482786418182703988929422705509326783087061<107>

11/11/24 16:08:22 v1.34.5 @ TRIGKEY,
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, ****************************
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, Starting factorization of 1900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, using pretesting plan: normal
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, ****************************
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, div: found prime factor = 3
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, div: found prime factor = 5
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C210
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C210
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, prp6 = 429823
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C204
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, prp7 = 5387201
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C197
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, prp7 = 2841071
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C191
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C191
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C191
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 58.77
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C191 input, B1=2K, B2=gmp-ecm default
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
11/11/24 16:08:22 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 58.77
11/11/24 16:08:24 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C191 input, B1=11K, B2=gmp-ecm default
11/11/24 16:08:24 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
11/11/24 16:08:24 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 58.77
11/11/24 16:08:54 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c211: 1900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005
11/11/24 16:08:54 v1.34.5 @ TRIGKEY, nfs: input divides 19*10^209 + 5
11/11/24 16:08:54 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 19254286248076006183689557784181719656624869249811847494466846686838018253064870409234332280983006575411747142778239346652371083237478150013853769478209979851089595605228521814991814645235899
11/11/24 16:08:54 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c191: 19254286248076006183689557784181719656624869249811847494466846686838018253064870409234332280983006575411747142778239346652371083237478150013853769478209979851089595605228521814991814645235899
11/11/24 16:08:54 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 19254286248076006183689557784181719656624869249811847494466846686838018253064870409234332280983006575411747142778239346652371083237478150013853769478209979851089595605228521814991814645235899
# 19*10^209+5, difficulty: 214.28, anorm: 3.90e+032, rnorm: 2.87e+047
# scaled difficulty: 216.76, suggest sieving rational side
# size = 1.194e-014, alpha = -0.190, combined = 5.333e-012, rroots = 1
type: snfs
size: 214
skew: 0.1214
c5: 38000
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 19254286248076006183689557784181719656624869249811847494466846686838018253064870409234332280983006575411747142778239346652371083237478150013853769478209979851089595605228521814991814645235899
# 19*10^209+5, difficulty: 210.58, anorm: 1.38e+032, rnorm: 4.06e+047
# scaled difficulty: 213.16, suggest sieving rational side
# size = 1.194e-014, alpha = 0.503, combined = 5.285e-012, rroots = 1
type: snfs
size: 210
skew: 0.2427
c5: 2375
c0: 2
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 19254286248076006183689557784181719656624869249811847494466846686838018253064870409234332280983006575411747142778239346652371083237478150013853769478209979851089595605228521814991814645235899
# 19*10^209+5, difficulty: 210.00, anorm: 6.16e+037, rnorm: 9.23e+040
# scaled difficulty: 210.00, suggest sieving algebraic side
# size = 1.277e-010, alpha = 0.623, combined = 4.003e-012, rroots = 0
type: snfs
size: 210
skew: 1.1750
c6: 19
c0: 50
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
11/11/24 16:08:56 v1.34.5 @ TRIGKEY, test: fb generation took 1.8750 seconds
11/11/24 16:08:56 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23802000
skew: 0.1214
c5: 38000
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/11/24 16:12:09 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/11/24 16:12:10 v1.34.5 @ TRIGKEY, test: fb generation took 1.6241 seconds
11/11/24 16:12:10 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.2427
c5: 2375
c0: 2
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/11/24 16:15:05 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/11/24 16:15:07 v1.34.5 @ TRIGKEY, test: fb generation took 2.2339 seconds
11/11/24 16:15:07 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 1.1750
c6: 19
c0: 50
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
11/11/24 16:17:51 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/11/24 16:17:51 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 19254286248076006183689557784181719656624869249811847494466846686838018253064870409234332280983006575411747142778239346652371083237478150013853769478209979851089595605228521814991814645235899
# 19*10^209+5, difficulty: 210.58, anorm: 1.38e+032, rnorm: 4.06e+047
# scaled difficulty: 213.16, suggest sieving rational side
# size = 1.194e-014, alpha = 0.503, combined = 5.285e-012, rroots = 1
type: snfs
size: 210
skew: 0.2427
c5: 2375
c0: 2
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
11/13/24 09:12:05 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/13/24 09:14:01 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22097435
11/13/24 11:42:07 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/13/24 11:44:14 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23293250
11/13/24 14:11:54 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/13/24 14:14:00 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24471759
11/13/24 16:58:34 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/13/24 17:00:45 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 25772329
11/13/24 20:00:29 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/13/24 20:02:45 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 27173772
11/13/24 23:01:59 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/13/24 23:06:18 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
11/14/24 02:52:31 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
11/14/24 02:56:16 v1.34.5 @ TRIGKEY, prp84 = 506891184732044829860714725401565594084227012108715538403119647261253736916586721359
11/14/24 02:56:16 v1.34.5 @ TRIGKEY, prp107 = 37985048523292620137983734491658683341253106911385412205238231982482786418182703988929422705509326783087061
11/14/24 02:56:16 v1.34.5 @ TRIGKEY, NFS elapsed time = 211641.9541 seconds.
11/14/24 02:56:16 v1.34.5 @ TRIGKEY,
11/14/24 02:56:16 v1.34.5 @ TRIGKEY,
11/11/24 16:17:51 v1.34.5 @ TRIGKEY, test: test sieving took 537.00 seconds

YAFU

45147751647890411638450617290983892752316774061667539548560014929312683757663275401564541122849374721939008225881053475926376506508695046511883270651040331083552192097740915385219<179>

47027917858079011485962979394771571081119<41>
960020211486662646772767150293053144234067890100584887588096668288602426144157392150723744489016951014566268843182821039381300048723263901<138>

Resuming ECM residue saved by @f9d2c28df4c5 with GMP-ECM 7.0.5-dev on Mon Mar 11 21:03:18 2024 
Input number is 45147751647890411638450617290983892752316774061667539548560014929312683757663275401564541122849374721939008225881053475926376506508695046511883270651040331083552192097740915385219 (179 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2921572895
Step 1 took 0ms
Step 2 took 8046ms
********** Factor found in step 2: 47027917858079011485962979394771571081119
Found prime factor of 41 digits: 47027917858079011485962979394771571081119
Prime cofactor 960020211486662646772767150293053144234067890100584887588096668288602426144157392150723744489016951014566268843182821039381300048723263901 has 138 digits

15189248809921199690980986308878027180847024211831879841933513233437349404632288912052568092924207343904729783326681593017639704383804094712179471489750862911042936823<167>

85041998824510569877212806990531124348829<41>

178608793535828750727062880502780271441023450674684199460096415241032364896686604516203776047409116978040377789649469363860387<126>

Resuming ECM residue saved by @f9d2c28df4c5 with GMP-ECM 7.0.5-dev on Mon Mar 11 21:14:13 2024 
Input number is 15189248809921199690980986308878027180847024211831879841933513233437349404632288912052568092924207343904729783326681593017639704383804094712179471489750862911042936823 (167 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1422883920
Step 1 took 0ms
Step 2 took 7347ms
********** Factor found in step 2: 85041998824510569877212806990531124348829
Found prime factor of 41 digits: 85041998824510569877212806990531124348829
Composite cofactor 178608793535828750727062880502780271441023450674684199460096415241032364896686604516203776047409116978040377789649469363860387 has 126 digits

178608793535828750727062880502780271441023450674684199460096415241032364896686604516203776047409116978040377789649469363860387<126>

4503806411143613280101080438607282620892521586162648711994331<61>
39657298123183793315055529107130597270083804666923875583095829977<65>

CADO:

STA:Fri Mar 15 10:23:26 AM AEDT 2024 (178608793535828750727062880502780271441023450674684199460096415241032364896686604516203776047409116978040377789649469363860387 - C126) 

/home/bob/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 178608793535828750727062880502780271441023450674684199460096415241032364896686604516203776047409116978040377789649469363860387 2>&1 | tee -a log-8

/home/bob/cado-nfs/cado-nfs.py:93: DeprecationWarning: Use setlocale(), getencoding() and getlocale() instead 
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c126 in directory /home/bob/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.8pt82do2
Info:Database: Opened connection to database /tmp/cado.8pt82do2/c125.db
Info:root: Set tasks.threads=20 based on --server-threads 20
Info:root: tasks.threads = 20 [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 = 20 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/cado-nfs/build/linux-8
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 178608793535828750727062880502780271441023450674684199460096415241032364896686604516203776047409116978040377789649469363860387
Debug:root: Root parameter dictionary:
N = 178608793535828750727062880502780271441023450674684199460096415241032364896686604516203776047409116978040377789649469363860387
name = c125
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 178608793535828750727062880502780271441023450674684199460096415241032364896686604516203776047409116978040377789649469363860387
skew: 112478.742
c0: -965375434870145788469978007423
c1: 3940838012518436811999216
c2: 412417044174885875421
c3: 1324471270344746
c4: -14535052256
c5: 43680
Y0: -1427288048538697549855810
Y1: 1527050659873810151
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.509e-07
# f(x) = 43680*x^5-14535052256*x^4+1324471270344746*x^3+412417044174885875421*x^2+3940838012518436811999216*x-965375434870145788469978007423
# g(x) = 1527050659873810151*x-1427288048538697549855810
===
Info:Square Root: finished
Info:Square Root: Factors: 39657298123183793315055529107130597270083804666923875583095829977 4503806411143613280101080438607282620892521586162648711994331
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1004.49/73.677
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11823957
Info:Lattice Sieving: Average J: 3801.41 for 210035 special-q, max bucket fill -bkmult 1.0,1s:1.312210
Info:Lattice Sieving: Total time: 64605.3s
Info:Quadratic Characters: Total cpu/real time for characters: 20.62/5.20141
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.08/51.7787
Info:Generate Factor Base: Total cpu/real time for makefb: 2.46/0.420325
Info:Filtering - Merging: Total cpu/real time for merge: 154.87/14.4446
Info:Filtering - Merging: Total cpu/real time for replay: 18.14/15.6163
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21547.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14619/37.010/44.610/48.780/0.875
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11578/36.000/39.939/45.380/0.913
Info:Polynomial Selection (size optimized): Total time: 1546.85
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1595.44
Info:Polynomial Selection (root optimized): Rootsieve time: 1593.64
Info:Generate Free Relations: Total cpu/real time for freerel: 51.53/4.55055
Info:Linear Algebra: Total cpu/real time for bwc: 8458.17/817.23
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5387.7, WCT time 490.84, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 36.92, WCT time 38.62
Info:Linear Algebra: Mksol: CPU time 2910.13,  WCT time 266.78, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (12544 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.49/34.6851
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 34.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 145.4/83.5218
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 59.1s
Info:Square Root: Total cpu/real time for sqrt: 1004.49/73.677
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 109485/7763.8
Info:root: Cleaning up computation data in /tmp/cado.8pt82do2
39657298123183793315055529107130597270083804666923875583095829977 4503806411143613280101080438607282620892521586162648711994331

END:Fri Mar 15 12:32:52 PM AEDT 2024 (178608793535828750727062880502780271441023450674684199460096415241032364896686604516203776047409116978040377789649469363860387 - C126)

5232112537314458072703582826249160747120794711083748109361967231698126508051551095199292396431200630520110830386567341852239380027418825811064509276756654370792813883587417733888362487798427411<193>

20838338144633350769748482088297548579<38>

251081084345582624146903012994397790635716417763643717168606895693887323519676439655091032137174360069458435083652992976672542240226588321010504998351913809<156>

Resuming ECM residue saved by @67ac4f1b248c with GMP-ECM 7.0.5-dev on Wed Nov  9 15:45:14 2022 
Input number is 5232112537314458072703582826249160747120794711083748109361967231698126508051551095199292396431200630520110830386567341852239380027418825811064509276756654370792813883587417733888362487798427411 (193 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:8653032
Step 1 took 0ms
Step 2 took 5083ms
********** Factor found in step 2: 20838338144633350769748482088297548579
Found prime factor of 38 digits: 20838338144633350769748482088297548579
Composite cofactor 251081084345582624146903012994397790635716417763643717168606895693887323519676439655091032137174360069458435083652992976672542240226588321010504998351913809 has 156 digits

85733672023126801272334154280049610194411344105773852629177054077663692782851173859949863262783220645935423679075182217821712867680727279<137>

71509519585421405040856181297676461<35>
1198912711484713485397804934690042251815404158879223534290213124776000777893287830879154691045898387339<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:906608674
Step 1 took 5625ms
Step 2 took 2750ms
********** Factor found in step 2: 71509519585421405040856181297676461
Found prime factor of 35 digits: 71509519585421405040856181297676461
Prime cofactor 1198912711484713485397804934690042251815404158879223534290213124776000777893287830879154691045898387339 has 103 digits

GMP-ECM

118362198466101882071412774141179708439062486809336854282062269584321557926194416188504681699511565747942123046505655376270352316411075866464556523738833675154446421253791595736239191943780437985909471<201>

1279646316694939132175354468483237980073913415277<49>
92496025598547321033579193296043218061258817969235126779465314364728407254676969087156976829586669438033395989625466603044206177628178037377798891075323<152>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 118362198466101882071412774141179708439062486809336854282062269584321557926194416188504681699511565747942123046505655376270352316411075866464556523738833675154446421253791595736239191943780437985909471 (201 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:409438954
Step 1 took 131308ms
Step 2 took 39256ms
Run 2 out of 0:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3197725959
Step 1 took 126979ms
Step 2 took 39212ms
Run 3 out of 0:
...
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3855662126
Step 1 took 126959ms
Step 2 took 39132ms
Run 66 out of 0:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1120441182
Step 1 took 127188ms
Step 2 took 39194ms
** Factor found in step 2: 1279646316694939132175354468483237980073913415277
Found prime factor of 49 digits: 1279646316694939132175354468483237980073913415277
Prime cofactor 92496025598547321033579193296043218061258817969235126779465314364728407254676969087156976829586669438033395989625466603044206177628178037377798891075323 has 152 digits

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

12945322471135354706868680626998059210229487773969234647872835122382017880188325329826474163856092719032739105119513457110803465842105066618180674686362652293124861036452679767760569380649694827<194>

6683817124957730782945786589070169678759<40>
1936815778935187786638090804766895400020064275626541464394864563447166194968091392328954607949568680293209829080903948198030099213563544381679130752663453<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1930638748
Step 1 took 64721ms
Step 2 took 25197ms
********** Factor found in step 2: 6683817124957730782945786589070169678759
Found prime factor of 40 digits: 6683817124957730782945786589070169678759
Prime cofactor 1936815778935187786638090804766895400020064275626541464394864563447166194968091392328954607949568680293209829080903948198030099213563544381679130752663453 has 154 digits

3409508940988578145047688263214090244318232797681533920127766861367571981014418633863601697576556934313118534270051052910195328972750845647941284667079396696365284021067176298529424959399926426386010246471606865674320117<220>

34077552096797609570920842805659746923776775281958787021011868879587570507015774328477847129482331403530525868552281650394142312718091289045016688449845066857780753047001723795037262771923508414559196505845640867242493<218>

17179129714743761277759244910685815086388307998289136266782545417012421138135891633784470722576783716512677852824529106324039223455364412219361817131386610187598119197445518881<176>

1879953782511985451988535574525525663<37>
9138059602608468648948716715697102386789970596270104583718091195114644115056678131488177129226154017769261519409149992128075576506637767487<139>

Resuming ECM residue saved by @67ac4f1b248c with GMP-ECM 7.0.5-dev on Wed Nov  9 16:03:02 2022 
Input number is 17179129714743761277759244910685815086388307998289136266782545417012421138135891633784470722576783716512677852824529106324039223455364412219361817131386610187598119197445518881 (176 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3781315808
Step 1 took 0ms
Step 2 took 4493ms
********** Factor found in step 2: 1879953782511985451988535574525525663
Found prime factor of 37 digits: 1879953782511985451988535574525525663
Prime cofactor 9138059602608468648948716715697102386789970596270104583718091195114644115056678131488177129226154017769261519409149992128075576506637767487 has 139 digits

1463157935389124908456849949645997215926183035289794581597339760169855386436702287978182682607125502907115773291886997555752314360652944701797881880977161402218639513166078440597691853725344301565660234635933942931904287<220>

68394627881653008230893177373297844903076320731242123474546574150891023382053490427032876478759698899586232692266329984647768899695273010389626444443669743108581711730804627246839253188716837194614763181<203>

126666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<231>

180952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<231>

132187904667985409746422682429918198255995079<45>

1368902710175160312865006353441792104780083617652183450863973055728752351501075920336060845689053037351084552508376646650112115892809143650586415735964542155085942739237418364849919691739<187>

Resuming ECM residue saved by @313a0cb6aae4 with GMP-ECM 7.0.5-dev on Tue Mar  5 12:09:40 2024 
Input number is 180952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381 (231 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2421257327
Step 1 took 0ms
Step 2 took 10136ms
********** Factor found in step 2: 132187904667985409746422682429918198255995079
Found prime factor of 45 digits: 132187904667985409746422682429918198255995079
Composite cofactor 1368902710175160312865006353441792104780083617652183450863973055728752351501075920336060845689053037351084552508376646650112115892809143650586415735964542155085942739237418364849919691739 has 187 digits

427352958879475275820347276544436433174434176124303308955432988314779959863322320664488594755680893434484089895947260969629405638912769988854906812798371736563056160136726358037407731394805111715465794169634233579667<216>

126666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<234>

759848030393921215756848630273945210957808438312337532493501299740051989602079584083183363327334533093381323735252949410117976404719056188762247550489902019596080783843231353729254149170165966806638672265546890621875624875024995001<231>

37852590055216941254791819197797729<35>

20073871544470363320702531937382355094172219120680429285170766510891657030995869189511462310799918362116616885247500122377186343643431100951933478775521291698225913086088916512586398134041012577369<197>

Resuming ECM residue saved by @67ac4f1b248c with GMP-ECM 7.0.5-dev on Wed Nov  9 17:23:36 2022 
Input number is 759848030393921215756848630273945210957808438312337532493501299740051989602079584083183363327334533093381323735252949410117976404719056188762247550489902019596080783843231353729254149170165966806638672265546890621875624875024995001 (231 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3358022461
Step 1 took 0ms
Step 2 took 5742ms
********** Factor found in step 2: 37852590055216941254791819197797729
Found prime factor of 35 digits: 37852590055216941254791819197797729
Composite cofactor 20073871544470363320702531937382355094172219120680429285170766510891657030995869189511462310799918362116616885247500122377186343643431100951933478775521291698225913086088916512586398134041012577369 has 197 digits

203437055950135047252053184343219645480866834126294755362845639809180152682644208641297484507203531724120992734924432305544566590388938664552613363301834218250627213348471688522973068906389679341134357882907<207>

262983479146296865378996676316076142851043234137<48>

773573521084051314026700826423409239698718880328241826617333166573981412059781921746555659615273480585592370163913377464216432147275983537021816615025510040211<159>

Resuming ECM residue saved by @67ac4f1b248c with GMP-ECM 7.0.5-dev on Wed Nov  9 17:48:47 2022 
Input number is 203437055950135047252053184343219645480866834126294755362845639809180152682644208641297484507203531724120992734924432305544566590388938664552613363301834218250627213348471688522973068906389679341134357882907 (207 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:818556806
Step 1 took 0ms
Step 2 took 5142ms
********** Factor found in step 2: 262983479146296865378996676316076142851043234137
Found prime factor of 48 digits: 262983479146296865378996676316076142851043234137
Composite cofactor 773573521084051314026700826423409239698718880328241826617333166573981412059781921746555659615273480585592370163913377464216432147275983537021816615025510040211 has 159 digits

88563666171381183791791866568959323148002703806011994871979624579487074172283942368889270052684448497972972493283209757593551479853301426472583019679163691867626125911957387823336057517792103322933281579<203>

16143845658985898944877092869016640832097285216403196402254687207359977659363256450226487174871861428341863024974383069533648747778686662810395434812323383295152947821447475033<176>

1139557631355904266854645311749523393468710720121032665999730656703982282593180715195231284689139314130074950324226063189545063033205313646351842015652342871888005985541643818431552659615110304405120097923990944533<214>

652826142709714618899361020506811847202190884272180075793657368159009009616863507468361066513041227204773658093654578418511095723092537109791039002123245385448764664431516149180192102805501176631830499771687279381600025606419<225>

2315381514950033986409983033976751797675159356544680311931475611624122458114381013937091771901538693440238123744300638993407664552590345391751067586938177086030982497676147836367477784678282936992063101<202>

415191943655966666987401908146138614552187231188893774856399537630892952594632362862372625220897153007895256682913420332172295719563634783056961286653452302711843801286001723659<177>

5680120699074168066339361096374066072518515439762841279762748783753291356663905374734016184032184890807230739087229094500233994356804923731375256012950101078442000748507752590710953<181>

555831246665615070309896572781102597770125061241197118036744867295751672554739830992651083696134631568212573129434718058855896179026793539771528349753337633159812774783409002899409257695683623931321854208603041769767455397<222>

966690812026397724491676630925925382725342107634112365567603306997680290328952743736619664685844975684826772600603705919646806514058795168999659467410997442565231759383253178635629813707<186>

974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359<246>

24994948317246052105575862023148480804919<41>

38982236009933442653097671559740359272478889715033065966735313171391284918490185114483102704511180216421504352228333712465562961132563779519593170552452786207062949384178077484065729511573391050112246649761<206>

Resuming ECM residue saved by @67ac4f1b248c with GMP-ECM 7.0.5-dev on Wed Nov  9 17:19:08 2022 
Input number is 974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359 (246 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3265014226
Step 1 took 0ms
Step 2 took 6284ms
********** Factor found in step 2: 24994948317246052105575862023148480804919
Found prime factor of 41 digits: 24994948317246052105575862023148480804919
Composite cofactor 38982236009933442653097671559740359272478889715033065966735313171391284918490185114483102704511180216421504352228333712465562961132563779519593170552452786207062949384178077484065729511573391050112246649761 has 206 digits

611256667824800155164344718196124267142496382390623617470092632147738842683523462201424013950236968896371301954898779896036741623317805333636865732537168621460783800877205895275233039329291935363<195>

9695893043580347381998397904537967570835416671157956302615370107371553732284981897688775383497269982270846626354508601270938378185350622878156169454256940099712260561361913402204180795857714887751807855594491404590113084402835821997<232>

619946427446705087858007522191618458461793650281926607623515858401993915466525569890611944986766612086913214962751902896482066276794782638135060650707442170108440569575447<171>

1675065096260944076631922084714548156442748983359447070206447559198085962349937813219493200106887982631374917685423425162065325997967973942018456975406285905665918175731786983846192612737572932993<196>

301913317551986606154486719407815272935392118422622064498668088653797482333491891199431736246971049982698293007644317964459291388121047004556012301387962926627994018364109130757536220602245041656153413749<204>

2287934624926746569556689999521398760867<40>

131958891771941712562822429416090189239540520014740967011633217970456581282916163105293529439097334184058879690269358890489714103492490196171531673134245930661559047<165>

Resuming ECM residue saved by @e38494234146 with GMP-ECM 7.0.5-dev on Tue Jan 30 07:45:36 2024 
Input number is 301913317551986606154486719407815272935392118422622064498668088653797482333491891199431736246971049982698293007644317964459291388121047004556012301387962926627994018364109130757536220602245041656153413749 (204 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2322707290
Step 1 took 0ms
Step 2 took 8848ms
********** Factor found in step 2: 2287934624926746569556689999521398760867
Found prime factor of 40 digits: 2287934624926746569556689999521398760867
Composite cofactor 131958891771941712562822429416090189239540520014740967011633217970456581282916163105293529439097334184058879690269358890489714103492490196171531673134245930661559047 has 165 digits

155945435054551185782346465154258246383665689449719526360047473947474220756319744079272216492032019604181709221851005604049456975122961858809175553125292116817707382461674604371538044523635243024155088272108523230126260493<222>

15253750538244551907545060681979593038358793427470868830671163731497398348785896613442067197295902420543932948579069586747713221886856610612737866688437326822145037919810685418966541139157974723551578278612781468785573808184099986816059309<239>

4638228188739371433658407165072237656295079880244395983829370220241261737782504706635074574373295522529238948695900323258641334354848933888052157792010067882972905282622652222811480095057539<190>

17569175298892860382737351724770022852361340217755935825290692853386856601229490375205994279983384747402034947826383214899628537000690004203766194974642206400658709585069196225697494830218926326026551670373382697003170601172882914085098321631<242>

317434232831186431994610824037879223<36>

55347449902280265029704000913468063107992076350293410974319071777817609796250712084928920100584470701118306742964915438512087531622331710421830730065809872330673844967212198978562415706518646613660095619097<206>

Resuming ECM residue saved by @67ac4f1b248c with GMP-ECM 7.0.5-dev on Wed Nov  9 16:36:10 2022 
Input number is 17569175298892860382737351724770022852361340217755935825290692853386856601229490375205994279983384747402034947826383214899628537000690004203766194974642206400658709585069196225697494830218926326026551670373382697003170601172882914085098321631 (242 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3226946590
Step 1 took 0ms
Step 2 took 6289ms
********** Factor found in step 2: 317434232831186431994610824037879223
Found prime factor of 36 digits: 317434232831186431994610824037879223
Composite cofactor 55347449902280265029704000913468063107992076350293410974319071777817609796250712084928920100584470701118306742964915438512087531622331710421830730065809872330673844967212198978562415706518646613660095619097 has 206 digits

126666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<261>

33522945085737474208428222684593940481421<41>
3778506522702795387757786150720785768066282642575802551717789045548325968260311350052580087680420076333028829957784778436554274151657770702785863151151490779940836317586308571141508597202031374197471195905944668638402327<220>

Resuming ECM residue saved by @233c102bf56d with GMP-ECM 7.0.5-dev on Fri Mar  8 16:09:22 2024 
Input number is 126666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667 (261 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2491883072
Step 1 took 0ms
Step 2 took 12644ms
********** Factor found in step 2: 33522945085737474208428222684593940481421
Found prime factor of 41 digits: 33522945085737474208428222684593940481421
Prime cofactor 3778506522702795387757786150720785768066282642575802551717789045548325968260311350052580087680420076333028829957784778436554274151657770702785863151151490779940836317586308571141508597202031374197471195905944668638402327 has 220 digits

60403120772724878647664702712573791451189956199925025974902234682141282791390904506514361066829193566684625866821363335107597949795363873567106248498608807400146728861997346767088452379402224321847529587194419<209>

3729862786210044498187983325149278866660969079916931490252975414669246479746978850805384781250159814881950482036459298097794933592491131602450483418744027164140580473671427329379417463192242052728549909812675588855541885692978818344351084941434130437<250>

740061015500011072371348971457762031<36>

5039939556456732038340476354564380570273979091504296665873993717056389951888991959703455227768976978166227719544366395933568138944434438530399013937168497292555112803488993098688999140825653928458519162743317527627<214>

GPU: factor 740061015500011072371348971457762031 found in Step 1 with curve 1535 (-sigma 3:-464932298)
Computing 1792 Step 1 took 234ms of CPU time / 267592ms of GPU time
Throughput: 6.697 curves per second (on average 149.33ms per Step 1)
********** Factor found in step 1: 740061015500011072371348971457762031
Found prime factor of 36 digits: 740061015500011072371348971457762031
Composite cofactor 5039939556456732038340476354564380570273979091504296665873993717056389951888991959703455227768976978166227719544366395933568138944434438530399013937168497292555112803488993098688999140825653928458519162743317527627 has 214 digits
Peak memory usage: 9428MB

5039939556456732038340476354564380570273979091504296665873993717056389951888991959703455227768976978166227719544366395933568138944434438530399013937168497292555112803488993098688999140825653928458519162743317527627<214>

55529266040220111878264895347137357634671<41>
90761861552542038146473004166709121907609707859007673406605680232312722936503880947692928292142223244042388078436863118996021294536242206674705056780912706094185971626148837<173>

Resuming ECM residue saved by @67ac4f1b248c with GMP-ECM 7.0.5-dev on Wed Nov  9 18:19:53 2022 
Input number is 5039939556456732038340476354564380570273979091504296665873993717056389951888991959703455227768976978166227719544366395933568138944434438530399013937168497292555112803488993098688999140825653928458519162743317527627 (214 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3830033819
Step 1 took 0ms
Step 2 took 5442ms
********** Factor found in step 2: 55529266040220111878264895347137357634671
Found prime factor of 41 digits: 55529266040220111878264895347137357634671
Prime cofactor 90761861552542038146473004166709121907609707859007673406605680232312722936503880947692928292142223244042388078436863118996021294536242206674705056780912706094185971626148837 has 173 digits

818690838211935998528330142254944085852000556104947225480804337286114689215492524762061316047777495263791497886295101143851299163123364849299838191479<150>

35093154826924643314571635491462093489563329<44>

23329074922150030734498755282211003499401967002765060720965034254001739093623602371462762890910678725047351<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2217326276
Step 1 took 3468ms
Step 2 took 2188ms
********** Factor found in step 2: 35093154826924643314571635491462093489563329
Found prime factor of 44 digits: 35093154826924643314571635491462093489563329
Composite cofactor 23329074922150030734498755282211003499401967002765060720965034254001739093623602371462762890910678725047351 has 107 digits

GMP-ECM

23329074922150030734498755282211003499401967002765060720965034254001739093623602371462762890910678725047351<107>

468315800724403322145521707254279656933<39>
49814836240980974524876172832975991891869322320969398660835099885547<68>

Number: 1
N=23329074922150030734498755282211003499401967002765060720965034254001739093623602371462762890910678725047351
  ( 107 digits)
Divisors found:
 r1=468315800724403322145521707254279656933 (pp39)
 r2=49814836240980974524876172832975991891869322320969398660835099885547 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.21 hours.
Scaled time: 48.27 units (timescale=7.770).
Factorization parameters were as follows:
name: 1
n: 23329074922150030734498755282211003499401967002765060720965034254001739093623602371462762890910678725047351
skew: 70302.52
# norm 6.78e+014
c5: 600
c4: -365491730
c3: -12174269289928
c2: 1650725023895649691
c1: 16835236311664299397056
c0: -682344677489622151783467564
# alpha -6.07
Y1: 49734532211
Y0: -522341210888181492965
# Murphy_E 1.47e-009
# M 8454058420906428490279811744651676153119335871193646644931351961983754823442385485511408475371642335563259
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 323434 x 323659
Total sieving time: 6.16 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 6.21 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

29340936177161559172631358383846133701504530882529297950528163920904986144542160600816543566355459824216999603988249018777206093955883849534103671741572515596123027389699440812416678130149197511454363232758193489152267826676583139303650788187691498249361573<257>

35912194127405385383313132164572479324161<41>

817018756165913162473951036773903624091991146995230776680964884168170149584855526185037133568388465637235905019289360204957515969441091182019255283544037496937279413650230809792122930598079351046959662157151983638693<216>

Resuming ECM residue saved by @233c102bf56d with GMP-ECM 7.0.5-dev on Fri Mar  8 16:25:45 2024 
Input number is 29340936177161559172631358383846133701504530882529297950528163920904986144542160600816543566355459824216999603988249018777206093955883849534103671741572515596123027389699440812416678130149197511454363232758193489152267826676583139303650788187691498249361573 (257 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3915596829
Step 1 took 0ms
Step 2 took 12492ms
********** Factor found in step 2: 35912194127405385383313132164572479324161
Found prime factor of 41 digits: 35912194127405385383313132164572479324161
Composite cofactor 817018756165913162473951036773903624091991146995230776680964884168170149584855526185037133568388465637235905019289360204957515969441091182019255283544037496937279413650230809792122930598079351046959662157151983638693 has 216 digits

13405021108625926194718995338119189896031257562660852709524257894289849607529679939531616045689126794881754455128433690086762066099313329493513172787182997017471176249877380139865737383328267426836644332077161339044563468882676180838185679130264265015084263<257>

1227238353497610026938307270317710982370507793469276367878590633360290257907550821547371289211201767440803786936662860034874298874091621853903669817912318289531991722568793152351815513<184>

510304736108126924002105633249744747887729780948217084861851254484023869210090550765626208527433154561059700129482885290041055672948747419372455193339671782416679541381<168>