35626215828633114040833250071844495550096295582158574210944910983122747058220719397588175674395594127234746654107<113>

22425725819654131517589731041738826579<38>
1588631561588519038985955410932621918496808891432454700920138926109027163033<76>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2828364458
Step 1 took 3484ms
Step 2 took 2579ms
********** Factor found in step 2: 22425725819654131517589731041738826579
Found prime factor of 38 digits: 22425725819654131517589731041738826579
Prime cofactor 1588631561588519038985955410932621918496808891432454700920138926109027163033 has 76 digits
 

GMP-ECM

414616109012717239171020234560634481613513845455811524551894577864984287084729384251747596964853772000591522953333709142317479<126>

1749019309140649639068282388002009771754041731<46>
237056335996903137147816548484972305410682500877901077732332057386791368539664909<81>

N=414616109012717239171020234560634481613513845455811524551894577864984287084729384251747596964853772000591522953333709142317479
  ( 126 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=1749019309140649639068282388002009771754041731 (pp46)
 r2=237056335996903137147816548484972305410682500877901077732332057386791368539664909 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.11 hours.
Scaled time: 40.43 units (timescale=7.911).
Factorization parameters were as follows:
n: 414616109012717239171020234560634481613513845455811524551894577864984287084729384251747596964853772000591522953333709142317479
m: 50000000000000000000000000000000000
deg: 4
c4: 10
c0: -13
skew: 1.07
# Murphy_E = 5.216e-09
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 170949 x 171176
Total sieving time: 5.08 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,100000
total time: 5.11 hours.

GNFS, Msieve

23707845463804830955557095087615999885114122675122906981322049115156962746721298510098419827177519599837752479479081<116>

16054832685241536497885187724471765575437133268673<50>
1476679696923802536224559814302603358882582241592871233479108718697<67>

N=23707845463804830955557095087615999885114122675122906981322049115156962746721298510098419827177519599837752479479081
  ( 116 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=16054832685241536497885187724471765575437133268673 (pp50)
 r2=1476679696923802536224559814302603358882582241592871233479108718697 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.93 hours.
Scaled time: 22.89 units (timescale=7.819).
Factorization parameters were as follows:
n: 23707845463804830955557095087615999885114122675122906981322049115156962746721298510098419827177519599837752479479081
m: 10000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 3.914e-09
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [795000, 1395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 209091 x 209319
Total sieving time: 2.89 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,141.000,5,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 2.93 hours.

GNFS, Msieve

231481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<150>

50288852442854005047983706310323649537<38>
4603037656198789744636913960288725903643383590655830731777223818871832979559680852882084887564090675713757237513<112>

04/15/22 16:17:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:24:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:31:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:38:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:45:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:52:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:59:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:06:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:13:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:20:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:28:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:36:00 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:43:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:50:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:58:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
04/15/22 17:59:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
04/15/22 18:02:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
04/15/22 18:03:28 v1.34.5 @ DESKTOP-RJPVCOL, prp38 = 50288852442854005047983706310323649537
04/15/22 18:03:28 v1.34.5 @ DESKTOP-RJPVCOL, prp112 = 4603037656198789744636913960288725903643383590655830731777223818871832979559680852882084887564090675713757237513
04/15/22 18:03:28 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 6381.5522 seconds.

94542674343093736246619200119876143789339484731607396467548084648163044465874355553256639106839<95>

19602736845352741275909813036026381494654009<44>
4822932383827167013317177910280769888552746778385871<52>

prp52 = 4822932383827167013317177910280769888552746778385871
prp44 = 19602736845352741275909813036026381494654009

Yafu

1166705969413422200686814928488232554261490104107189435997538487691584603204061230073765899789391870035641093676723<115>

54630485100991902328464355695996410846077143949<47>
21356317214767672270112488363025415628365955005845192445730306564927<68>

N=1166705969413422200686814928488232554261490104107189435997538487691584603204061230073765899789391870035641093676723
  ( 115 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=54630485100991902328464355695996410846077143949 (pp47)
 r2=21356317214767672270112488363025415628365955005845192445730306564927 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.37 hours.
Scaled time: 65.23 units (timescale=7.794).
Factorization parameters were as follows:
n: 1166705969413422200686814928488232554261490104107189435997538487691584603204061230073765899789391870035641093676723
m: 5000000000000000000000000000000
deg: 5
c5: 20
c0: -13
skew: 0.92
# Murphy_E = 1.303e-09
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 456185 x 456411
Total sieving time: 8.28 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:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 8.37 hours.

GNFS, Msieve

4830836505127247466434288769014282609713898809729206212104367580559956286492646011365897696527711390102698620647927871360919099021615369<136>

3432854365078003647840760261161254247202265497153<49>
1407236075689880866576570267615540671975187388886643398855763357842988448247574678454473<88>

N=4830836505127247466434288769014282609713898809729206212104367580559956286492646011365897696527711390102698620647927871360919099021615369
  ( 136 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=3432854365078003647840760261161254247202265497153 (pp49)
 r2=1407236075689880866576570267615540671975187388886643398855763357842988448247574678454473 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.58 hours.
Scaled time: 74.70 units (timescale=7.800).
Factorization parameters were as follows:
n: 4830836505127247466434288769014282609713898809729206212104367580559956286492646011365897696527711390102698620647927871360919099021615369
m: 10000000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 1.062e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 432305 x 432532
Total sieving time: 9.50 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 9.58 hours.

GNFS, Msieve

157544106924072767555640652447579241339968429400254720655167568345710584311690276253369142628808794455314281666786531544177439<126>

350973600490655309543559288018697549622181730859<48>
448877370559576852380442589085153797505355507507957772543832581460508022246621<78>

N=157544106924072767555640652447579241339968429400254720655167568345710584311690276253369142628808794455314281666786531544177439
  ( 126 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=350973600490655309543559288018697549622181730859 (pp48)
 r2=448877370559576852380442589085153797505355507507957772543832581460508022246621 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.77 hours.
Scaled time: 84.61 units (timescale=7.855).
Factorization parameters were as follows:
n: 157544106924072767555640652447579241339968429400254720655167568345710584311690276253369142628808794455314281666786531544177439
m: 10000000000000000000000000000000
deg: 5
c5: 125
c0: -26
skew: 0.73
# Murphy_E = 1.031e-09
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 366771 x 366997
Total sieving time: 10.71 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 10.77 hours.

GNFS, Msieve

34363908865400265737904696311757002709919840522501094832370400212387294006323196852410119430236648630407<104>

123166553805903420152890091890062688732849<42>
279003575268931413496556716732381402434249751487500118808617143<63>

prp63 = 279003575268931413496556716732381402434249751487500118808617143
prp42 = 123166553805903420152890091890062688732849

Yafu

69444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<158>

13891076233410262490080896159834355713136658045138899965679859140573<68>
4999212679966397172526224672408388508409802347553344530875786210283067597005846000880015191<91>

Number: n
N=69444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443  ( 158 digits)
SNFS difficulty: 158 digits.
Divisors found:

Sat Apr 16 22:31:31 2022  p68 factor: 13891076233410262490080896159834355713136658045138899965679859140573
Sat Apr 16 22:31:31 2022  p91 factor: 4999212679966397172526224672408388508409802347553344530875786210283067597005846000880015191
Sat Apr 16 22:31:31 2022  elapsed time 00:06:26 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 25x10^158-52 = 27(157)2
#
n: 69444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 50000000000000000000000000000000
deg: 5
c5: 2
c0: -13
skew: 1.45
# Murphy_E = 1.026e-09
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1594213 hash collisions in 15868558 relations (15315508 unique)
Msieve: matrix is 334146 x 334371 (110.9 MB)

Sieving start time : 2022/04/16 21:52:34
Sieving end time  : 2022/04/16 22:16:05

Total sieving time: 0hrs 23min 31secs.

Total relation processing time: 0hrs 1min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

100768549579692307746332326037230275641818626717931498174699662999412450066593034066596923808014773005172362164788092133<120>

9737502429462733599240510665712811113594112387<46>
10348500584174150435457097455563023008067059829066086664142410239284099959<74>

N=100768549579692307746332326037230275641818626717931498174699662999412450066593034066596923808014773005172362164788092133
  ( 120 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=9737502429462733599240510665712811113594112387 (pp46)
 r2=10348500584174150435457097455563023008067059829066086664142410239284099959 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.73 hours.
Scaled time: 107.50 units (timescale=7.831).
Factorization parameters were as follows:
n: 100768549579692307746332326037230275641818626717931498174699662999412450066593034066596923808014773005172362164788092133
m: 100000000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 6.804e-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, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 550265 x 550494
Total sieving time: 13.61 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 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: 13.73 hours.

GNFS, Msieve

2514015869782750394049956204764973193182001944166126154379470970305245058076022683983812756588772417544105819895209334946370633987782921<136>

2845107736980614698882140412945517186014374836336713<52>
883627652164329895871085261279770980016535290955120718668689167378392778221698087617<84>

N=2514015869782750394049956204764973193182001944166126154379470970305245058076022683983812756588772417544105819895209334946370633987782921
  ( 136 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=2845107736980614698882140412945517186014374836336713 (pp52)
 r2=883627652164329895871085261279770980016535290955120718668689167378392778221698087617 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.63 hours.
Scaled time: 107.97 units (timescale=7.924).
Factorization parameters were as follows:
n: 2514015869782750394049956204764973193182001944166126154379470970305245058076022683983812756588772417544105819895209334946370633987782921
m: 100000000000000000000000000000000
deg: 5
c5: 125
c0: -26
skew: 0.73
# Murphy_E = 6.606e-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 : 556909 x 557139
Total sieving time: 13.52 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 13.63 hours.

GNFS, Msieve

2153094446004479409395142725452153533385803022473170108439152061827844090268712045583640081580060241307676116936190906209920187029184379<136>

7834593466121883208409388094334646738729362536912087<52>
274818911193647325716553815356896178703404253756768680481831328279419414583762014717<84>

Fri Apr 22 02:25:04 2022  Msieve v. 1.53 (SVN unknown)
Fri Apr 22 02:25:04 2022  random seeds: 91acf7f4 c9860d7a
Fri Apr 22 02:25:04 2022  factoring 2153094446004479409395142725452153533385803022473170108439152061827844090268712045583640081580060241307676116936190906209920187029184379 (136 digits)
Fri Apr 22 02:25:06 2022  searching for 15-digit factors
Fri Apr 22 02:25:08 2022  commencing number field sieve (136-digit input)
Fri Apr 22 02:25:08 2022  R0: -5000000000000000000000000000000000
Fri Apr 22 02:25:08 2022  R1: 1
Fri Apr 22 02:25:08 2022  A0: -65
Fri Apr 22 02:25:08 2022  A1: 0
Fri Apr 22 02:25:08 2022  A2: 0
Fri Apr 22 02:25:08 2022  A3: 0
Fri Apr 22 02:25:08 2022  A4: 0
Fri Apr 22 02:25:08 2022  A5: 1
Fri Apr 22 02:25:08 2022  skew 2.30, size 1.574e-11, alpha -0.273, combined = 4.158e-10 rroots = 1
Fri Apr 22 02:25:08 2022  
Fri Apr 22 02:25:08 2022  commencing square root phase
Fri Apr 22 02:25:08 2022  reading relations for dependency 1
Fri Apr 22 02:25:09 2022  read 352996 cycles
Fri Apr 22 02:25:10 2022  cycles contain 1200256 unique relations
Fri Apr 22 02:25:33 2022  read 1200256 relations
Fri Apr 22 02:25:42 2022  multiplying 1200256 relations
Fri Apr 22 02:26:27 2022  multiply complete, coefficients have about 26.66 million bits
Fri Apr 22 02:26:28 2022  initial square root is modulo 45223231
Fri Apr 22 02:27:27 2022  Newton iteration failed to converge
Fri Apr 22 02:27:27 2022  algebraic square root failed
Fri Apr 22 02:27:27 2022  reading relations for dependency 2
Fri Apr 22 02:27:27 2022  read 353098 cycles
Fri Apr 22 02:27:28 2022  cycles contain 1199658 unique relations
Fri Apr 22 02:27:53 2022  read 1199658 relations
Fri Apr 22 02:28:01 2022  multiplying 1199658 relations
Fri Apr 22 02:28:45 2022  multiply complete, coefficients have about 26.64 million bits
Fri Apr 22 02:28:45 2022  initial square root is modulo 44867071
Fri Apr 22 02:29:45 2022  Newton iteration failed to converge
Fri Apr 22 02:29:45 2022  algebraic square root failed
Fri Apr 22 02:29:45 2022  reading relations for dependency 3
Fri Apr 22 02:29:45 2022  read 353685 cycles
Fri Apr 22 02:29:46 2022  cycles contain 1202082 unique relations
Fri Apr 22 02:30:11 2022  read 1202082 relations
Fri Apr 22 02:30:19 2022  multiplying 1202082 relations
Fri Apr 22 02:31:01 2022  multiply complete, coefficients have about 26.70 million bits
Fri Apr 22 02:31:02 2022  initial square root is modulo 46440631
Fri Apr 22 02:32:07 2022  Newton iteration failed to converge
Fri Apr 22 02:32:07 2022  algebraic square root failed
Fri Apr 22 02:32:07 2022  reading relations for dependency 4
Fri Apr 22 02:32:07 2022  read 353226 cycles
Fri Apr 22 02:32:08 2022  cycles contain 1199016 unique relations
Fri Apr 22 02:32:33 2022  read 1199016 relations
Fri Apr 22 02:32:40 2022  multiplying 1199016 relations
Fri Apr 22 02:33:25 2022  multiply complete, coefficients have about 26.63 million bits
Fri Apr 22 02:33:26 2022  initial square root is modulo 44379551
Fri Apr 22 02:34:26 2022  sqrtTime: 558
Fri Apr 22 02:34:26 2022  p52 factor: 7834593466121883208409388094334646738729362536912087
Fri Apr 22 02:34:26 2022  p84 factor: 274818911193647325716553815356896178703404253756768680481831328279419414583762014717
Fri Apr 22 02:34:26 2022  elapsed time 00:09:22

109477549837472093072591266439006408008827562417510854521072346546932790522677118101184065763883506468237497007094558415063373961047120530450099908927<150>

1174026253021588341233222561990100186721467044392976481685091<61>
93249660776928970067807056193061694248389558376016412026783925178634476627562053671406197<89>

Number: n
N=109477549837472093072591266439006408008827562417510854521072346546932790522677118101184065763883506468237497007094558415063373961047120530450099908927  ( 150 digits)
SNFS difficulty: 168 digits.
Divisors found:

Tue Apr 19 15:09:50 2022  p61 factor: 1174026253021588341233222561990100186721467044392976481685091
Tue Apr 19 15:09:50 2022  p89 factor: 93249660776928970067807056193061694248389558376016412026783925178634476627562053671406197
Tue Apr 19 15:09:50 2022  elapsed time 00:08:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 25x10^168-52 = 27(167)2
#
n: 109477549837472093072591266439006408008827562417510854521072346546932790522677118101184065763883506468237497007094558415063373961047120530450099908927
m: 5000000000000000000000000000000000
deg: 5
c5: 2
c0: -13
skew: 1.45
# Murphy_E = 4.167e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1670745 hash collisions in 15708655 relations (15037767 unique)
Msieve: matrix is 502633 x 502860 (171.8 MB)

Sieving start time : 2022/04/19 14:15:56
Sieving end time  : 2022/04/19 15:01:05

Total sieving time: 0hrs 45min 9secs.

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

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

60862070460930668883670373342448647135928835181994566285584959261841569866804487770253816077681630102869823667686544758613355735672372986533<140>

111158673130538801313569942890349675247124337055571333483117<60>
547524261912136249085692022423618198178694008273094384582542295615861112445351449<81>

Tue May 10 16:07:25 2022  Msieve v. 1.53 (SVN unknown)
Tue May 10 16:07:25 2022  random seeds: ccb8fd78 cc03e206
Tue May 10 16:07:25 2022  factoring 60862070460930668883670373342448647135928835181994566285584959261841569866804487770253816077681630102869823667686544758613355735672372986533 (140 digits)
Tue May 10 16:07:25 2022  searching for 15-digit factors
Tue May 10 16:07:25 2022  commencing number field sieve (140-digit input)
Tue May 10 16:07:25 2022  R0: -5000000000000000000000000000000000
Tue May 10 16:07:25 2022  R1: 1
Tue May 10 16:07:25 2022  A0: -13
Tue May 10 16:07:25 2022  A1: 0
Tue May 10 16:07:25 2022  A2: 0
Tue May 10 16:07:25 2022  A3: 0
Tue May 10 16:07:25 2022  A4: 0
Tue May 10 16:07:25 2022  A5: 20
Tue May 10 16:07:25 2022  skew 0.92, size 1.100e-11, alpha -0.353, combined = 3.392e-10 rroots = 1
Tue May 10 16:07:25 2022  
Tue May 10 16:07:25 2022  commencing square root phase
Tue May 10 16:07:25 2022  reading relations for dependency 1
Tue May 10 16:07:25 2022  read 345938 cycles
Tue May 10 16:07:26 2022  cycles contain 1139870 unique relations
Tue May 10 16:07:34 2022  read 1139870 relations
Tue May 10 16:07:37 2022  multiplying 1139870 relations
Tue May 10 16:07:52 2022  multiply complete, coefficients have about 29.56 million bits
Tue May 10 16:07:52 2022  initial square root is modulo 308223781
Tue May 10 16:08:09 2022  Newton iteration failed to converge
Tue May 10 16:08:09 2022  algebraic square root failed
Tue May 10 16:08:09 2022  reading relations for dependency 2
Tue May 10 16:08:09 2022  read 345332 cycles
Tue May 10 16:08:09 2022  cycles contain 1137190 unique relations
Tue May 10 16:08:17 2022  read 1137190 relations
Tue May 10 16:08:20 2022  multiplying 1137190 relations
Tue May 10 16:08:35 2022  multiply complete, coefficients have about 29.49 million bits
Tue May 10 16:08:35 2022  initial square root is modulo 294283291
Tue May 10 16:08:52 2022  sqrtTime: 87
Tue May 10 16:08:52 2022  p60 factor: 111158673130538801313569942890349675247124337055571333483117
Tue May 10 16:08:52 2022  p81 factor: 547524261912136249085692022423618198178694008273094384582542295615861112445351449
Tue May 10 16:08:52 2022  elapsed time 00:01:27
Tue May 10 16:08:52 2022 -> Computing time scale for this machine...
Tue May 10 16:08:52 2022 -> procrels -speedtest> PIPE

18075927551120534443473600855793195770714245044764176651566304780691867015817336838196387545420189377690572117036489857810628981380401512836438937930682451551<158>

41176101862293498530363898739389799302993597433<47>
438990743018181124625721102808692395493760806359559956707647954606874580463382903648306182758993468771253703447<111>

Number: n
N=18075927551120534443473600855793195770714245044764176651566304780691867015817336838196387545420189377690572117036489857810628981380401512836438937930682451551  ( 158 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat Apr 16 12:12:53 2022  p47 factor: 41176101862293498530363898739389799302993597433
Sat Apr 16 12:12:53 2022  p111 factor: 438990743018181124625721102808692395493760806359559956707647954606874580463382903648306182758993468771253703447
Sat Apr 16 12:12:53 2022  elapsed time 00:09:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 25x10^170-52 = 27(169)2
#
n: 18075927551120534443473600855793195770714245044764176651566304780691867015817336838196387545420189377690572117036489857810628981380401512836438937930682451551
m: 10000000000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 2.754e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2077358 hash collisions in 16922066 relations (15872332 unique)
Msieve: matrix is 573540 x 573766 (197.0 MB)

Sieving start time : 2022/04/16 11:15:29
Sieving end time  : 2022/04/16 12:02:48

Total sieving time: 0hrs 47min 19secs.

Total relation processing time: 0hrs 4min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

418523319818043471113219129368370632466414173221913720312717946018795246137582208861618579006856885180705311569852847870389287624426145935264687875017820722957852291<165>

21016988484739439396044399396018553307800269<44>
19913572304706535292173044441954253496757878499822422288352655080771840349490449708133669434869924098299688578457088452239<122>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 418523319818043471113219129368370632466414173221913720312717946018795246137582208861618579006856885180705311569852847870389287624426145935264687875017820722957852291 (165 digits)
Using B1=12830000, B2=35135665120, polynomial Dickson(12), sigma=1:878480825
Step 1 took 30733ms
Step 2 took 12006ms
********** Factor found in step 2: 21016988484739439396044399396018553307800269
Found prime factor of 44 digits: 21016988484739439396044399396018553307800269
Prime cofactor 19913572304706535292173044441954253496757878499822422288352655080771840349490449708133669434869924098299688578457088452239 has 122 digits

627910771290723730078820712596560595856624226462082942797530809120922486159597483709361388613744999756935879605273896680301812584548281541973373982083555619<156>

32644919543090487376163627266384947822847<41>
2038061151422632477300439265821927545144003<43>
9437677217875739248872922188569257342919608941004883384371777843884481759<73>

Number: n
N=627910771290723730078820712596560595856624226462082942797530809120922486159597483709361388613744999756935879605273896680301812584548281541973373982083555619  ( 156 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sun Apr 17 02:54:34 2022  found factor: 2038061151422632477300439265821927545144003
Sun Apr 17 02:55:06 2022  found factor: 2038061151422632477300439265821927545144003
Sun Apr 17 02:55:39 2022  p41 factor: 32644919543090487376163627266384947822847
Sun Apr 17 02:55:39 2022  p43 factor: 2038061151422632477300439265821927545144003
Sun Apr 17 02:55:39 2022  p73 factor: 9437677217875739248872922188569257342919608941004883384371777843884481759
Sun Apr 17 02:55:39 2022  elapsed time 00:12:01 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 25x10^174-52 = 27(173)2
#
n: 627910771290723730078820712596560595856624226462082942797530809120922486159597483709361388613744999756935879605273896680301812584548281541973373982083555619
m: 50000000000000000000000000000000000
deg: 5
c5: 20
c0: -13
skew: 0.92
# Murphy_E = 2.145e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2128881 hash collisions in 16550425 relations (15382017 unique)
Msieve: matrix is 643943 x 644168 (220.9 MB)

Sieving start time : 2022/04/17 01:54:03
Sieving end time  : 2022/04/17 02:43:15

Total sieving time: 0hrs 49min 12secs.

Total relation processing time: 0hrs 6min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 37sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

212834152045020014736364259882568194726998808016372115608146908579344328400113521990819737683508117336210387941867153969016911798316150857650631268308440710631916209653<168>

5538416487355323108468985990416171751091<40>
25135601909469959195873925347330279211912885853<47>
1528855417502617804543940938367296744388106263446200188647447306119207580055768611<82>

Number: n
N=212834152045020014736364259882568194726998808016372115608146908579344328400113521990819737683508117336210387941867153969016911798316150857650631268308440710631916209653  ( 168 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Apr 16 14:33:11 2022  found factor: 5538416487355323108468985990416171751091
Sat Apr 16 14:34:25 2022  p40 factor: 5538416487355323108468985990416171751091
Sat Apr 16 14:34:25 2022  p47 factor: 25135601909469959195873925347330279211912885853
Sat Apr 16 14:34:25 2022  p82 factor: 1528855417502617804543940938367296744388106263446200188647447306119207580055768611
Sat Apr 16 14:34:25 2022  elapsed time 00:17:32 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 25x10^175-52 = 27(174)2
#
n: 212834152045020014736364259882568194726998808016372115608146908579344328400113521990819737683508117336210387941867153969016911798316150857650631268308440710631916209653
m: 100000000000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 1.739e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4397361 hash collisions in 33309636 relations (30788601 unique)
Msieve: matrix is 711347 x 711575 (239.4 MB)

Sieving start time : 2022/04/16 12:51:16
Sieving end time  : 2022/04/16 14:16:23

Total sieving time: 1hrs 25min 7secs.

Total relation processing time: 0hrs 7min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 26sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

85108683200782768417675087752600538938129900556985439622534302293481026505268493890848574534968925575184593694987724799194963625943<131>

1164016781675427232491699523282440870878390805751741093388919197<64>
73116371293446138131841260821128947580969254491907142471132560719619<68>

Number: n
N=85108683200782768417675087752600538938129900556985439622534302293481026505268493890848574534968925575184593694987724799194963625943  ( 131 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu Jun 16 02:23:56 2022  p64 factor: 1164016781675427232491699523282440870878390805751741093388919197
Thu Jun 16 02:23:56 2022  p68 factor: 73116371293446138131841260821128947580969254491907142471132560719619
Thu Jun 16 02:23:56 2022  elapsed time 00:17:05 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 25x10^176-52 = 27(175)2
#
n: 85108683200782768417675087752600538938129900556985439622534302293481026505268493890848574534968925575184593694987724799194963625943
m: 100000000000000000000000000000000000
deg: 5
c5: 125
c0: -26
skew: 0.73
# Murphy_E = 1.686e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3579779 hash collisions in 32170786 relations (29821975 unique)
Msieve: matrix is 789589 x 789814 (272.8 MB)

Sieving start time : 2022/06/16 00:43:49
Sieving end time  : 2022/06/16 02:06:23

Total sieving time: 1hrs 22min 34secs.

Total relation processing time: 0hrs 8min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

12107985635978839053269463477170641684420843557976258551285836548652726620884204150921465150542672795419424694863<113>

55365848930122805833911830594083757772866894565107<50>
218690508137251144702154689350304186985590431566973514160262709<63>

218690508137251144702154689350304186985590431566973514160262709 55365848930122805833911830594083757772866894565107

n: 12107985635978839053269463477170641684420843557976258551285836548652726620884204150921465150542672795419424694863
skew: 8510.515
c0: -5673307499303084796790374
c1: -1908763912966751940209
c2: 494539964968889180
c3: -36768520883101
c4: -3823888020
c5: -151200
Y0: -3735846671924210112654
Y1: 43251979997291189
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.342e-06
# f(x) = -151200*x^5-3823888020*x^4-36768520883101*x^3+494539964968889180*x^2-1908763912966751940209*x-5673307499303084796790374
# g(x) = 43251979997291189*x-3735846671924210112654

cado-nfs 3.0.0

1024856867912530581783746404622740068112834269751118662453224311370988964202376001523839214957884376802332107235221252597764685037596887<136>

18765723656120769335002914454382461644479307547<47>
54613234570266922285234417600176873614052556105775404836897600926070206954080969137407221<89>

Sat May 21 06:08:52 2022  Msieve v. 1.53 (SVN unknown)
Sat May 21 06:08:52 2022  random seeds: db4a21e8 93cb8b9f
Sat May 21 06:08:52 2022  factoring 1024856867912530581783746404622740068112834269751118662453224311370988964202376001523839214957884376802332107235221252597764685037596887 (136 digits)
Sat May 21 06:08:52 2022  searching for 15-digit factors
Sat May 21 06:08:53 2022  commencing number field sieve (136-digit input)
Sat May 21 06:08:53 2022  R0: -1000000000000000000000000000000000000
Sat May 21 06:08:53 2022  R1: 1
Sat May 21 06:08:53 2022  A0: -52
Sat May 21 06:08:53 2022  A1: 0
Sat May 21 06:08:53 2022  A2: 0
Sat May 21 06:08:53 2022  A3: 0
Sat May 21 06:08:53 2022  A4: 0
Sat May 21 06:08:53 2022  A5: 25
Sat May 21 06:08:53 2022  skew 1.16, size 1.651e-12, alpha -0.648, combined = 1.094e-10 rroots = 1
Sat May 21 06:08:53 2022  
Sat May 21 06:08:53 2022  commencing square root phase
Sat May 21 06:08:53 2022  reading relations for dependency 1
Sat May 21 06:08:53 2022  read 699281 cycles
Sat May 21 06:08:53 2022  cycles contain 2408598 unique relations
Sat May 21 06:09:12 2022  read 2408598 relations
Sat May 21 06:09:19 2022  multiplying 2408598 relations
Sat May 21 06:09:56 2022  multiply complete, coefficients have about 64.77 million bits
Sat May 21 06:09:57 2022  initial square root is modulo 1991057591
Sat May 21 06:10:44 2022  sqrtTime: 111
Sat May 21 06:10:44 2022  p47 factor: 18765723656120769335002914454382461644479307547
Sat May 21 06:10:44 2022  p89 factor: 54613234570266922285234417600176873614052556105775404836897600926070206954080969137407221
Sat May 21 06:10:44 2022  elapsed time 00:01:52
Sat May 21 06:10:44 2022 -> Computing time scale for this machine...
Sat May 21 06:10:44 2022 -> procrels -speedtest> PIPE

14403118682796210416880542090420343376865706935521884896476142281569200258068314702752929999864106161632493932959039940244672844153644274143204696757075716897357909<164>

83073003882649049276124957626794043320163867835712526048509081415650741<71>
173379052274820915792755086244773776321472043759704331875907613402945988069028998906427247649<93>

Number: n
N=14403118682796210416880542090420343376865706935521884896476142281569200258068314702752929999864106161632493932959039940244672844153644274143204696757075716897357909  ( 164 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sun Apr 17 17:19:42 2022  p71 factor: 83073003882649049276124957626794043320163867835712526048509081415650741
Sun Apr 17 17:19:42 2022  p93 factor: 173379052274820915792755086244773776321472043759704331875907613402945988069028998906427247649
Sun Apr 17 17:19:42 2022  elapsed time 00:19:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 25x10^182-52 = 27(181)2
#
n: 14403118682796210416880542090420343376865706935521884896476142281569200258068314702752929999864106161632493932959039940244672844153644274143204696757075716897357909
m: 5000000000000000000000000000000000000
deg: 5
c5: 1
c0: -65
skew: 2.30
# Murphy_E = 1.04e-10
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3273466 hash collisions in 31459559 relations (30185607 unique)
Msieve: matrix is 817641 x 817873 (275.2 MB)

Sieving start time : 2022/04/17 14:35:36
Sieving end time  : 2022/04/17 17:00:10

Total sieving time: 2hrs 24min 34secs.

Total relation processing time: 0hrs 10min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

8739099882392575841145136941033867936103325986398846726527143431641577184567104809545816615402732574594036712056280432154757810248480138836943166291417<151>

524482613631491273618759195536925610330629003682988215943141366861<66>
16662325223487366328223970177533244858030142447577271415855815818386529882619112471997<86>

Number: n
N=8739099882392575841145136941033867936103325986398846726527143431641577184567104809545816615402732574594036712056280432154757810248480138836943166291417  ( 151 digits)
SNFS difficulty: 183 digits.
Divisors found:

Tue Apr 19 07:18:56 2022  p66 factor: 524482613631491273618759195536925610330629003682988215943141366861
Tue Apr 19 07:18:56 2022  p86 factor: 16662325223487366328223970177533244858030142447577271415855815818386529882619112471997
Tue Apr 19 07:18:56 2022  elapsed time 00:18:37 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 25x10^183-52 = 27(182)2
#
n: 8739099882392575841145136941033867936103325986398846726527143431641577184567104809545816615402732574594036712056280432154757810248480138836943166291417
m: 5000000000000000000000000000000000000
deg: 5
c5: 2
c0: -13
skew: 1.45
# Murphy_E = 1.041e-10
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2741136 hash collisions in 32389100 relations (31046754 unique)
Msieve: matrix is 789394 x 789626 (267.7 MB)

Sieving start time : 2022/04/19 04:37:01
Sieving end time  : 2022/04/19 06:59:49

Total sieving time: 2hrs 22min 48secs.

Total relation processing time: 0hrs 8min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 54sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

1911542447874798740691142779579680754239457150152694442370580414114924072487449226438173663684494063542914549043938498068851091314312396125362341<145>

963904183609322333056013805374759521458933362615628235752460992852832027<72>
1983124962397259782263674231369280556955756186902827619219090987524248383<73>

1911542447874798740691142779579680754239457150152694442370580414114924072487449226438173663684494063542914549043938498068851091314312396125362341=963904183609322333056013805374759521458933362615628235752460992852832027*1983124962397259782263674231369280556955756186902827619219090987524248383

cado polynomial
n: 1911542447874798740691142779579680754239457150152694442370580414114924072487449226438173663684494063542914549043938498068851091314312396125362341
skew: 1.16
type: snfs
c0: -52
c5: 25
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 25*x^5-52
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8900000
tasks.lim1 = 8900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 963904183609322333056013805374759521458933362615628235752460992852832027 1983124962397259782263674231369280556955756186902827619219090987524248383
Info:Square Root: Total cpu/real time for sqrt: 684.26/210.022
Info:Square Root: Total cpu/real time for sqrt: 684.26/210.022
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.97/108.109
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 219.79/186.291
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 171.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.79/2.19691
Info:Filtering - Merging: Merged matrix has 1474863 rows and total weight 252140894 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 376.49/104.986
Info:Filtering - Merging: Total cpu/real time for replay: 56.51/48.1312
Info:Linear Algebra: Total cpu/real time for bwc: 35160.3/9026.72
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 22460.55, WCT time 5740.02, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46336 iterations)
Info:Linear Algebra: Lingen CPU time 288.32, WCT time 73.19
Info:Linear Algebra: Mksol: CPU time 12150.18,  WCT time 3115.85, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.82/105.058
Info:Quadratic Characters: Total cpu/real time for characters: 53.93/21.7938
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22413051
Info:Lattice Sieving: Average J: 1894.03 for 1001905 special-q, max bucket fill -bkmult 1.0,1s:1.190090
Info:Lattice Sieving: Total time: 186571s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.67/30.5463
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 385650/91083.6
963904183609322333056013805374759521458933362615628235752460992852832027 1983124962397259782263674231369280556955756186902827619219090987524248383

cado-nfs-3.0.0

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

13236290454337029072743728892945571430202728521246054161259852684617882427357816270329365171459951691417999244182517830434064871421403789996589535506589<152>

17964660078694538568759839027660138354661072472661<50>
736796042694668558915031675899498027402092066249726962429809888091877344006595824661657012453038974249<102>

Number: n
N=13236290454337029072743728892945571430202728521246054161259852684617882427357816270329365171459951691417999244182517830434064871421403789996589535506589  ( 152 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Apr 19 04:35:21 2022  p50 factor: 17964660078694538568759839027660138354661072472661
Tue Apr 19 04:35:21 2022  p102 factor: 736796042694668558915031675899498027402092066249726962429809888091877344006595824661657012453038974249
Tue Apr 19 04:35:21 2022  elapsed time 00:25:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 25x10^186-52 = 27(185)2
#
n: 13236290454337029072743728892945571430202728521246054161259852684617882427357816270329365171459951691417999244182517830434064871421403789996589535506589
m: 10000000000000000000000000000000000000
deg: 5
c5: 125
c0: -26
skew: 0.73
# Murphy_E = 6.634e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3374568 hash collisions in 31786822 relations (30421908 unique)
Msieve: matrix is 996519 x 996745 (342.7 MB)

Sieving start time : 2022/04/19 01:13:24
Sieving end time  : 2022/04/19 04:08:57

Total sieving time: 2hrs 55min 33secs.

Total relation processing time: 0hrs 15min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

1401889042217201152323034972066887746738524254393860640893448066028338861853341960410728817827193990226484962624900258603380508544569329177435097986774036049520631595504138655620323<181>

12845346379224363731554496685213784427605087<44>
109135947044960180438688484848924823964116943082073051013901182937336927508429874732666257088019277388210665820675632098642963127441874429<138>

Number: n
N=1401889042217201152323034972066887746738524254393860640893448066028338861853341960410728817827193990226484962624900258603380508544569329177435097986774036049520631595504138655620323  ( 181 digits)
SNFS difficulty: 192 digits.
Divisors found:

Thu Apr 21 07:36:57 2022  p44 factor: 12845346379224363731554496685213784427605087
Thu Apr 21 07:36:57 2022  p138 factor: 109135947044960180438688484848924823964116943082073051013901182937336927508429874732666257088019277388210665820675632098642963127441874429
Thu Apr 21 07:36:57 2022  elapsed time 00:37:56 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 25x10^191-52 = 27(190)2
#
n: 1401889042217201152323034972066887746738524254393860640893448066028338861853341960410728817827193990226484962624900258603380508544569329177435097986774036049520631595504138655620323
m: 100000000000000000000000000000000000000
deg: 5
c5: 125
c0: -26
skew: 0.73
# Murphy_E = 4.134e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3280115 hash collisions in 30796961 relations (29433570 unique)
Msieve: matrix is 1159418 x 1159643 (404.4 MB)

Sieving start time : 2022/04/21 02:37:55
Sieving end time  : 2022/04/21 06:57:49

Total sieving time: 4hrs 19min 54secs.
Total relation processing time: 0hrs 23min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 58sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

16618790805789228162547889907159442178493431966080135983093176747661261012176809885855070421616490254337565994261282078182776876630589596386928262977243901457<158>

76918648282603138465466565754975978589679313163099487437<56>
216056719363176029614584529897519211935072119333474710222653707125288749628513397915083869738765989461<102>

Number: n
N=16618790805789228162547889907159442178493431966080135983093176747661261012176809885855070421616490254337565994261282078182776876630589596386928262977243901457  ( 158 digits)
SNFS difficulty: 193 digits.
Divisors found:

Fri Apr 22 04:11:54 2022  p56 factor: 76918648282603138465466565754975978589679313163099487437
Fri Apr 22 04:11:54 2022  p102 factor: 216056719363176029614584529897519211935072119333474710222653707125288749628513397915083869738765989461
Fri Apr 22 04:11:54 2022  elapsed time 00:35:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 25x10^192-52 = 27(191)2
#
n: 16618790805789228162547889907159442178493431966080135983093176747661261012176809885855070421616490254337565994261282078182776876630589596386928262977243901457
m: 500000000000000000000000000000000000000
deg: 5
c5: 1
c0: -65
skew: 2.30
# Murphy_E = 4.041e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3220105 hash collisions in 30691130 relations (29394561 unique)
Msieve: matrix is 1225992 x 1226218 (425.3 MB)

Sieving start time : 2022/04/21 21:56:03
Sieving end time  : 2022/04/22 03:35:50

Total sieving time: 5hrs 39min 47secs.

Total relation processing time: 0hrs 25min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 12sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

203710534194491079272330546982710237480583733461317480737946027890406847740226525759809562270314378587804654937719746469263189525824283224542624784831804767<156>

58722110390910333871944610807853259434487667777588746863<56>
3469060168961905667244712756251059011544775596751318888681961599745706476703632278563050116345941009<100>

Number: n
N=203710534194491079272330546982710237480583733461317480737946027890406847740226525759809562270314378587804654937719746469263189525824283224542624784831804767  ( 156 digits)
SNFS difficulty: 193 digits.
Divisors found:

Fri Apr 22 09:25:36 2022  p56 factor: 58722110390910333871944610807853259434487667777588746863
Fri Apr 22 09:25:36 2022  p100 factor: 3469060168961905667244712756251059011544775596751318888681961599745706476703632278563050116345941009
Fri Apr 22 09:25:36 2022  elapsed time 00:36:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 25x10^193-52 = 27(192)2
#
n: 203710534194491079272330546982710237480583733461317480737946027890406847740226525759809562270314378587804654937719746469263189525824283224542624784831804767
m: 500000000000000000000000000000000000000
deg: 5
c5: 2
c0: -13
skew: 1.45
# Murphy_E = 4.041e-11
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3243629 hash collisions in 30493994 relations (29139222 unique)
Msieve: matrix is 1234245 x 1234470 (429.5 MB)

Sieving start time : 2022/04/22 04:14:06
Sieving end time  : 2022/04/22 08:49:05

Total sieving time: 4hrs 34min 59secs.
Total relation processing time: 0hrs 26min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

2005348975778784478679137580969252907356089737277111719194094940954082334418419960378608262968161384620865030021744591019643760836877649848462115284444472092078473963902440062908241563<184>

35174906523884496909485592754879940129861<41>
57010783366747843368075365866548021346797371764050696226442413772436320289904332663969019029339252971994941391728437215716222958461111838457183<143>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2005348975778784478679137580969252907356089737277111719194094940954082334418419960378608262968161384620865030021744591019643760836877649848462115284444472092078473963902440062908241563 (184 digits)
Using B1=11530000, B2=35134040770, polynomial Dickson(12), sigma=1:3724478039
Step 1 took 32015ms
Step 2 took 13235ms
********** Factor found in step 2: 35174906523884496909485592754879940129861
Found prime factor of 41 digits: 35174906523884496909485592754879940129861
Prime cofactor 57010783366747843368075365866548021346797371764050696226442413772436320289904332663969019029339252971994941391728437215716222958461111838457183 has 143 digits

7004939908335313553013407658465290556415933825406811028964909743080260077920637828318566862107680675413262866980029798173557427309896074256695237837<148>

19838581596339948429577926846087836758981636949159118939418000229<65>
353096811600062480919565501535725144402999492916971058380689801653192874046498433353<84>

Number: n
N=7004939908335313553013407658465290556415933825406811028964909743080260077920637828318566862107680675413262866980029798173557427309896074256695237837  ( 148 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat May  7 22:29:24 2022  p65 factor: 19838581596339948429577926846087836758981636949159118939418000229
Sat May  7 22:29:24 2022  p84 factor: 353096811600062480919565501535725144402999492916971058380689801653192874046498433353
Sat May  7 22:29:24 2022  elapsed time 00:47:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 25x10^195-52 = 27(194)2
#
n: 7004939908335313553013407658465290556415933825406811028964909743080260077920637828318566862107680675413262866980029798173557427309896074256695237837
m: 1000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 2.65e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3261701 hash collisions in 29235968 relations (27714587 unique)
Msieve: matrix is 1423454 x 1423681 (497.1 MB)

Sieving start time : 2022/05/07 16:58:53
Sieving end time  : 2022/05/07 21:41:10

Total sieving time: 4hrs 42min 17secs.

Total relation processing time: 0hrs 37min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 35sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

323531947470807699266799753823977092940270918892782164063828949149991514587277864971859309660337352195030396214625574893<120>

19689553288162691155885377182307427325439021122929485421819<59>
16431655037360054012194502868410901455216476195252166961582647<62>

04/15/22 18:10:10, =====================================
04/15/22 18:10:10, System/Build Info: 
04/15/22 18:10:10, YAFU Version 2.08
04/15/22 18:10:10, Built with GCC 9
04/15/22 18:10:10, Using GMP-ECM 7.0.5-dev, Powered by GMP 6.1.2
04/15/22 18:10:10, detected Intel(R) Xeon(R) Platinum 8375C CPU @ 2.90GHz
detected L1 = 49152 bytes, L2 = 56623104 bytes, CL = 64 bytes
04/15/22 18:10:10, using 20 random witnesses for Rabin-Miller PRP checks
04/15/22 18:10:10, Cached 664579 primes: max prime is 9999991
04/15/22 18:10:10, Parsed yafu.ini from /home/florian/Math/yafu

04/15/22 18:10:10, Random seed: 7001439552075623230
04/15/22 18:10:19, nfs: commencing poly selection with 64 threads
04/15/22 18:10:19, nfs: setting deadline of 1 seconds
04/15/22 18:10:19, nfs: expecting degree 5 poly E from 2.87e-10 to > 3.30e-10
04/15/22 18:10:19, nfs: searching for good quality poly E > 3.08e-10
04/15/22 18:11:15, nfs: completed 82 ranges of size 250 in 56.0217 seconds
04/15/22 18:11:15, nfs: best poly = # norm 1.984460e-11 alpha -4.829852 e 2.937e-10 rroots 5

n: 323531947470807699266799753823977092940270918892782164063828949149991514587277864971859309660337352195030396214625574893
skew: 13180.33
c0: 6508995454651040345379763
c1: 463780164416127714838
c2: -2976832791566634153
c3: 7268934034886
c4: 16001727194
c5: 14952
Y0: -116691707663423107015002
Y1: 4495898370671
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

04/15/22 18:11:15, nfs: commencing lattice sieving with 64 threads
04/15/22 18:13:37, nfs: commencing lattice sieving with 64 threads
04/15/22 18:16:05, nfs: commencing lattice sieving with 64 threads
04/15/22 18:18:32, nfs: commencing lattice sieving with 64 threads
04/15/22 18:21:03, nfs: commencing lattice sieving with 64 threads
04/15/22 18:23:34, nfs: commencing lattice sieving with 64 threads
04/15/22 18:26:07, nfs: commencing msieve filtering
04/15/22 18:27:49, nfs: raising min_rels by 5.00 percent to 10910523
04/15/22 18:27:49, nfs: commencing lattice sieving with 64 threads
04/15/22 18:30:25, nfs: commencing msieve filtering
04/15/22 18:32:43, nfs: commencing msieve linear algebra
04/15/22 18:36:42, nfs: commencing msieve sqrt
04/15/22 18:38:55, p59 = 19689553288162691155885377182307427325439021122929485421819
04/15/22 18:38:55, p62 = 16431655037360054012194502868410901455216476195252166961582647
04/15/22 18:38:55, NFS elapsed time = 1716.6118 seconds.

22473397681750699677635242359793132470033463339949617076771574601817109440496647975182484380436228589946921511062204829841770687188382155501056632692004089991<158>

292229007417670201490281026158031093669668403476821<51>
76903377526894345880914317178116066352413521480227478075448553648892636749890983323395526216375159777841771<107>

Number: n
N=22473397681750699677635242359793132470033463339949617076771574601817109440496647975182484380436228589946921511062204829841770687188382155501056632692004089991  ( 158 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat May  7 16:55:45 2022  p51 factor: 292229007417670201490281026158031093669668403476821
Sat May  7 16:55:45 2022  p107 factor: 76903377526894345880914317178116066352413521480227478075448553648892636749890983323395526216375159777841771
Sat May  7 16:55:45 2022  elapsed time 00:54:46 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 25x10^197-52 = 27(196)2
#
n: 22473397681750699677635242359793132470033463339949617076771574601817109440496647975182484380436228589946921511062204829841770687188382155501056632692004089991
m: 5000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -65
skew: 2.30
# Murphy_E = 2.503e-11
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3275596 hash collisions in 29113731 relations (27561750 unique)
Msieve: matrix is 1511510 x 1511735 (525.4 MB)

Sieving start time : 2022/05/07 11:24:11
Sieving end time  : 2022/05/07 16:00:28

Total sieving time: 4hrs 36min 17secs.

Total relation processing time: 0hrs 43min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

3365192032826559065875583385871384360407241530494593064039054624351942158742908961461486669498681542699403708640595089891159874749777573395088441705440664444657700933908909<172>

413683270269291708312621385101862902088417777<45>
214664205456475321952107670232752525300574104569565929687<57>
37895030482731396631667205976032676597409996370002162066353197750098891<71>

Number: n
N=3365192032826559065875583385871384360407241530494593064039054624351942158742908961461486669498681542699403708640595089891159874749777573395088441705440664444657700933908909  ( 172 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Aug 23 12:21:05 2022  found factor: 214664205456475321952107670232752525300574104569565929687
Tue Aug 23 12:22:45 2022  p45 factor: 413683270269291708312621385101862902088417777
Tue Aug 23 12:22:45 2022  p57 factor: 214664205456475321952107670232752525300574104569565929687
Tue Aug 23 12:22:45 2022  p71 factor: 37895030482731396631667205976032676597409996370002162066353197750098891
Tue Aug 23 12:22:45 2022  elapsed time 01:00:27 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 25x10^198-52 = 27(197)2
#
n: 3365192032826559065875583385871384360407241530494593064039054624351942158742908961461486669498681542699403708640595089891159874749777573395088441705440664444657700933908909
m: 5000000000000000000000000000000000000000
deg: 5
c5: 2
c0: -13
skew: 1.45
# Murphy_E = 2.502e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3193368 hash collisions in 28651299 relations (27155751 unique)
Msieve: matrix is 1581590 x 1581815 (551.9 MB)

Sieving start time : 2022/08/23 05:27:08
Sieving end time  : 2022/08/23 11:21:16

Total sieving time: 5hrs 54min 8secs.

Total relation processing time: 0hrs 47min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 1sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

283575100522772977587734951053186222645490202316942104732534975762612351929789089857619170717015927303691137511760482013811352674282297891658269882144593<153>

33774952510025504266431195695675523224960518661183557654706141601211713870964508081837349764492146760715610443193051651191310368113277658669191852882476064054574633933000806118410140442159100381<194>

47836912236757075784732202207051536263574923269241316697647328071<65>
706043741762943489967038242197704030402118994442648574164173020745668564848736068695797773848233705487921632147032634212197319611<129>

Number: n
N=33774952510025504266431195695675523224960518661183557654706141601211713870964508081837349764492146760715610443193051651191310368113277658669191852882476064054574633933000806118410140442159100381  ( 194 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Jul 16 07:42:52 2023  prp65 factor: 47836912236757075784732202207051536263574923269241316697647328071
Sun Jul 16 07:42:52 2023  prp129 factor: 706043741762943489967038242197704030402118994442648574164173020745668564848736068695797773848233705487921632147032634212197319611
Sun Jul 16 07:42:52 2023  elapsed time 02:05:14 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 25x10^202-52 = 27(201)2
#
n: 33774952510025504266431195695675523224960518661183557654706141601211713870964508081837349764492146760715610443193051651191310368113277658669191852882476064054574633933000806118410140442159100381
m: 50000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -65
skew: 2.30
# Murphy_E = 1.544e-11
type: snfs
lss: 1
rlim: 17200000
alim: 17200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17200000/17200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2524318 hash collisions in 16649849 relations (14955279 unique)
Msieve: matrix is 2009425 x 2009653 (566.0 MB)

Sieving start time: 2023/07/15 20:44:35
Sieving end time  : 2023/07/16 05:33:12

Total sieving time: 8hrs 48min 37secs.

Total relation processing time: 1hrs 59min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 40sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17200000,17200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3441581020687068773599990962171559328778202316848500062576452931002140055478442837957991501779647575424210245521868541384915845010820851571409011684962971<154>

24978238868588450842177629100660677368347<41>
137783173537308577118618630000631319873662459439933756077070704874386053170105515355293912811730313013969155576193<114>

Resuming ECM residue saved by @8073ca6b4746 with GMP-ECM 7.0.5-dev on Fri Nov 17 08:26:37 2023 
Input number is 3441581020687068773599990962171559328778202316848500062576452931002140055478442837957991501779647575424210245521868541384915845010820851571409011684962971 (154 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2329071965
Step 1 took 0ms
Step 2 took 10940ms
********** Factor found in step 2: 24978238868588450842177629100660677368347
Found prime factor of 41 digits: 24978238868588450842177629100660677368347
Prime cofactor 137783173537308577118618630000631319873662459439933756077070704874386053170105515355293912811730313013969155576193 has 114 digits

12333170117252326819481408734425257687384873508863001904521708147775211056158168317794212642911603827462170945884533039807507192850377983736455137341446713293<158>

238507324311737548353777743986747400425461877013731623434805274269045975033477692269205145554096153615991012285540372814545410792292862237121169584891939572619<159>

260943482573603243383026633009355073516280871366340788265456667589051644868707060957279424762460181398837434677439138191434433460346402441796233358894356389377937691354776762509153029783<186>

626045447685878022958717616000372542529489598311<48>

416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353<138>

Resuming ECM residue saved by @8073ca6b4746 with GMP-ECM 7.0.5-dev on Fri Nov 17 06:26:51 2023 
Input number is 260943482573603243383026633009355073516280871366340788265456667589051644868707060957279424762460181398837434677439138191434433460346402441796233358894356389377937691354776762509153029783 (186 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3542895738
Step 1 took 0ms
Step 2 took 17098ms
********** Factor found in step 2: 626045447685878022958717616000372542529489598311
Found prime factor of 48 digits: 626045447685878022958717616000372542529489598311
Composite cofactor 416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353 has 138 digits

416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353<138>

231307906418262685214704637236103847871361822690775941986594129<63>
1801980614233902280441764597081282389198365914125064805680223455339639469057<76>

416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353=231307906418262685214704637236103847871361822690775941986594129*1801980614233902280441764597081282389198365914125064805680223455339639469057

cado polynomial
n: 416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353
skew: 181869.33
c0: -24387238096752486191574825686820
c1: -2115152940183041361970931107
c2: 3070010243339942834094
c3: 31273288772934037
c4: -46138103244
c5: 534240
Y0: -393023388399549581692586183
Y1: 7494722451618869909
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 3.266e-07
# f(x) = 534240*x^5-46138103244*x^4+31273288772934037*x^3+3070010243339942834094*x^2-2115152940183041361970931107*x-24387238096752486191574825686820
# g(x) = 7494722451618869909*x-393023388399549581692586183

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 231307906418262685214704637236103847871361822690775941986594129 1801980614233902280441764597081282389198365914125064805680223455339639469057
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 884.19/187.08
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9537.42
Info:Polynomial Selection (root optimized): Rootsieve time: 9533.2
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32851663
Info:Lattice Sieving: Average J: 3786.67 for 610717 special-q, max bucket fill -bkmult 1.0,1s:1.077840
Info:Lattice Sieving: Total time: 365469s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48023/41.210/49.513/54.470/0.967
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39467/40.080/44.017/50.150/0.884
Info:Polynomial Selection (size optimized): Total time: 35877.4
Info:Square Root: Total cpu/real time for sqrt: 884.19/187.08
Info:Generate Factor Base: Total cpu/real time for makefb: 14.75/2.07581
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 277.66/227.705
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 227.5s
Info:Quadratic Characters: Total cpu/real time for characters: 72.25/18.2003
Info:Generate Free Relations: Total cpu/real time for freerel: 730.75/92.4706
Info:Filtering - Singleton removal: Total cpu/real time for purge: 296.87/238.111
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 630.54/461.333
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 402.5s
Info:Filtering - Merging: Merged matrix has 1494384 rows and total weight 254751590 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 754.44/105.615
Info:Filtering - Merging: Total cpu/real time for replay: 54.41/46.9614
Info:Linear Algebra: Total cpu/real time for bwc: 30570.5/8026.26
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19493.13, WCT time 5085.09, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46848 iterations)
Info:Linear Algebra: Lingen CPU time 198.61, WCT time 68.68
Info:Linear Algebra: Mksol: CPU time 10612.93,  WCT time 2771.11, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23552 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 758222/107443
Info:root: Cleaning up computation data in /tmp/cado.5shfvkzw
231307906418262685214704637236103847871361822690775941986594129 1801980614233902280441764597081282389198365914125064805680223455339639469057

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)]
Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz (8 processeurs)

4933704535034901948712731407319539676427096317723162254503130474007789825489305402086479246329093306696280242260050056083316311502123792119822125684277837330630396468280993<172>

500354485740224147383384736452304569206082017281824369683545999834531528902242288105780148862888419163779878030779294196374332145932405678322781654308618635608561143333025761901169429584910547137<195>

235567399258976444431232364015571288609543102210788906095434844893723116326547079291374463013553048308383810965928452673280549160518509437076135826249507635069677251315063250622583668779161<189>

196219796424378637599111835736691480998864502723984434539708653285801426589500986968308672539201803423811914013320573960548625401995104495031666092025219650088363739411709001621463072632038569314811051057493<207>

20223113903664354536040770806209397223607363863503555367684140695768904413202373646437900321912268740676138773927583469877404609686403510832509230640847935692807032686102985431157<179>

3590371840339348492391417932409408937134461839406116758567484510160481743483087904455937023417102108104259786474450205138998815845326415905359252103288011280066920938948208220927601103973165905629<196>

757049903557286583404543193648167791221222329668698853375242349217977866379761632552137196962293462109555112203883576727772765935874894017705422324464270653717362732105250050603<177>

5087820579446707756618498262291391124697<40>

148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899<138>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2935520504
Step 1 took 31600ms
Step 2 took 13854ms
********** Factor found in step 2: 5087820579446707756618498262291391124697
Found prime factor of 40 digits: 5087820579446707756618498262291391124697
Composite cofactor 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899 has 138 digits

148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899<138>

325390999569851866801370647153834700863434969054409<51>
457285241165763247030986193504975157293951116901709276396859462738448988833359793049611<87>

10/05/22 09:16:39, nfs: commencing nfs on c138: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899
10/05/22 09:16:39, nfs: input divides 10^219 - 208
10/05/22 09:16:39, nfs: commencing snfs on c138: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899
10/05/22 09:16:39, gen: best 3 polynomials:
n: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899
# 10^219-208, difficulty: 219.70, anorm: 2.17e+28, rnorm: 1.91e+50
# scaled difficulty: 224.09, suggest sieving rational side
# size = 7.306e-15, alpha = -0.273, combined = 3.539e-12, rroots = 1
type: snfs
size: 219
skew: 2.3045
c5: 1
c0: -65
Y1: -1
Y0: 50000000000000000000000000000000000000000000
n: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899
# 10^219-208, difficulty: 219.00, anorm: -4.58e+29, rnorm: 8.53e+49
# scaled difficulty: 223.05, suggest sieving rational side
# size = 5.587e-15, alpha = -1.078, combined = 3.128e-12, rroots = 1
type: snfs
size: 219
skew: 0.4609
c5: 625
c0: -13
Y1: -1
Y0: 10000000000000000000000000000000000000000000
n: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899
# 10^219-208, difficulty: 219.00, anorm: 1.23e+36, rnorm: 6.60e+42
# scaled difficulty: 220.35, suggest sieving rational side
# size = 7.243e-11, alpha = -0.167, combined = 2.662e-12, rroots = 2
type: snfs
size: 219
skew: 0.7697
c6: 125
c0: -26
Y1: -1
Y0: 1000000000000000000000000000000000000
10/05/22 09:16:39, nfs: input snfs form is better done by gnfs: difficulty = 219.70, size = 155, actual size = 138
10/05/22 09:16:39, nfs: commencing poly selection with 46 threads
10/05/22 09:16:39, nfs: setting deadline of 3535 seconds
10/05/22 09:16:39, nfs: expecting degree 5 poly E from 2.36e-11 to > 2.72e-11
10/05/22 09:16:39, nfs: searching for avg quality poly E > 2.45e-11
10/05/22 09:23:20, nfs: completed 59 ranges of size 250 in 400.8256 seconds
10/05/22 09:23:20, nfs: best poly = # norm 3.301350e-13 alpha -6.827288 e 2.954e-11 rroots 3
10/05/22 09:23:20, nfs: commencing lattice sieving with 46 threads
10/05/22 09:29:18, nfs: commencing lattice sieving with 46 threads
10/05/22 09:35:41, nfs: commencing lattice sieving with 46 threads
10/05/22 09:41:19, nfs: commencing lattice sieving with 46 threads
10/05/22 09:47:06, nfs: commencing lattice sieving with 46 threads
10/05/22 09:53:09, nfs: commencing lattice sieving with 46 threads
10/05/22 09:59:24, nfs: commencing lattice sieving with 46 threads
10/05/22 10:05:55, nfs: commencing lattice sieving with 46 threads
10/05/22 10:11:53, nfs: commencing lattice sieving with 46 threads
10/05/22 10:17:50, nfs: commencing lattice sieving with 46 threads
10/05/22 10:23:39, nfs: commencing lattice sieving with 46 threads
10/05/22 10:29:42, nfs: commencing lattice sieving with 46 threads
10/05/22 10:35:46, nfs: commencing lattice sieving with 46 threads
10/05/22 10:41:48, nfs: commencing lattice sieving with 46 threads
10/05/22 10:48:05, nfs: commencing lattice sieving with 46 threads
10/05/22 10:54:20, nfs: commencing lattice sieving with 46 threads
10/05/22 11:00:42, nfs: commencing lattice sieving with 46 threads
10/05/22 11:07:14, nfs: commencing lattice sieving with 46 threads
10/05/22 11:13:00, nfs: commencing lattice sieving with 46 threads
10/05/22 11:18:59, nfs: commencing lattice sieving with 46 threads
10/05/22 11:25:08, nfs: commencing lattice sieving with 46 threads
10/05/22 11:31:28, nfs: commencing lattice sieving with 46 threads
10/05/22 11:37:21, nfs: commencing lattice sieving with 46 threads
10/05/22 11:43:21, nfs: commencing lattice sieving with 46 threads
10/05/22 11:49:23, nfs: commencing lattice sieving with 46 threads
10/05/22 11:55:29, nfs: commencing lattice sieving with 46 threads
10/05/22 12:01:27, nfs: commencing lattice sieving with 46 threads
10/05/22 12:07:22, nfs: commencing lattice sieving with 46 threads
10/05/22 12:13:20, nfs: commencing lattice sieving with 46 threads
10/05/22 12:19:24, nfs: commencing lattice sieving with 46 threads
10/05/22 12:25:49, nfs: commencing lattice sieving with 46 threads
10/05/22 12:31:47, nfs: commencing lattice sieving with 46 threads
10/05/22 12:37:54, nfs: commencing lattice sieving with 46 threads
10/05/22 12:43:56, nfs: commencing lattice sieving with 46 threads
10/05/22 12:50:06, nfs: commencing lattice sieving with 46 threads
10/05/22 12:56:57, nfs: commencing lattice sieving with 46 threads
10/05/22 13:03:27, nfs: commencing lattice sieving with 46 threads
10/05/22 13:09:54, nfs: commencing lattice sieving with 46 threads
10/05/22 13:15:52, nfs: commencing lattice sieving with 46 threads
10/05/22 13:21:56, nfs: commencing lattice sieving with 46 threads
10/05/22 13:28:03, nfs: commencing lattice sieving with 46 threads
10/05/22 13:34:00, nfs: commencing lattice sieving with 46 threads
10/05/22 13:39:54, nfs: commencing lattice sieving with 46 threads
10/05/22 13:45:59, nfs: commencing lattice sieving with 46 threads
10/05/22 13:52:16, nfs: commencing lattice sieving with 46 threads
10/05/22 13:58:08, nfs: commencing lattice sieving with 46 threads
10/05/22 14:04:04, nfs: commencing lattice sieving with 46 threads
10/05/22 14:09:54, nfs: commencing lattice sieving with 46 threads
10/05/22 14:16:07, nfs: commencing lattice sieving with 46 threads
10/05/22 14:22:28, nfs: commencing lattice sieving with 46 threads
10/05/22 14:28:44, nfs: commencing lattice sieving with 46 threads
10/05/22 14:35:26, nfs: commencing lattice sieving with 46 threads
10/05/22 14:41:49, nfs: commencing lattice sieving with 46 threads
10/05/22 14:48:24, nfs: commencing lattice sieving with 46 threads
10/05/22 14:54:09, nfs: commencing lattice sieving with 46 threads
10/05/22 15:00:22, nfs: commencing lattice sieving with 46 threads
10/05/22 15:06:37, nfs: commencing msieve filtering
10/05/22 15:12:32, nfs: commencing msieve linear algebra
10/05/22 15:49:58, nfs: commencing msieve sqrt
10/05/22 15:57:20, prp51 = 325390999569851866801370647153834700863434969054409
10/05/22 15:57:20, prp87 = 457285241165763247030986193504975157293951116901709276396859462738448988833359793049611
10/05/22 15:57:20, NFS elapsed time = 24040.7080 seconds.
10/05/22 15:57:20, 
10/05/22 15:57:20, 

Yafu

6018546525535572467870617345836099439126910125405076886223608769461926043702477074434328901601227971846653208282512606161676649176930912849385624100128641980071142605363962219059304795559293760489<196>

2484462280872867709423375296646297963<37>
2422474501573464298498287044909713516320188798545195642828718328489969485860510537841457950069663829807050895266319094415445308914912545891213593458274662398203<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2668100531
Step 1 took 24984ms
Step 2 took 10996ms
********** Factor found in step 2: 2484462280872867709423375296646297963
Found prime factor of 37 digits: 2484462280872867709423375296646297963
Prime cofactor 2422474501573464298498287044909713516320188798545195642828718328489969485860510537841457950069663829807050895266319094415445308914912545891213593458274662398203 has 160 digits

99580884437513192071300769387868924942148058383550982497886758733875560881301210534803601518944313360881700620160631213393110055750834175896043046079403695555819684802571258106925912050427443295560246217447<206>

638615983261282515189409780658046471697474907<45>

155932339696500828348402902402780457408230581526571947292911392484448447150482500430948162535611918841273738940610937782834148354598029122816362936778326394309221<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3655525743
Step 1 took 6234ms
********** Factor found in step 2: 638615983261282515189409780658046471697474907
Found prime factor of 45 digits: 638615983261282515189409780658046471697474907
Composite cofactor 155932339696500828348402902402780457408230581526571947292911392484448447150482500430948162535611918841273738940610937782834148354598029122816362936778326394309221 has 162 digits

GMP-ECM

30201633236601441994123147599856645986962312623290133286259113300247023958110934947949415542262674894770976160616048654593076923256976720941581571380087059764413190018527888787<176>

94520827164289992331114416975107271877<38>
319523581655785927627187036212874760067533565015487346001259672602887001478341946024329805016511606605455942264904340375716481712959667831<138>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3143019381
Step 1 took 31868ms
Step 2 took 13971ms
********** Factor found in step 2: 94520827164289992331114416975107271877
Found prime factor of 38 digits: 94520827164289992331114416975107271877
Prime cofactor 319523581655785927627187036212874760067533565015487346001259672602887001478341946024329805016511606605455942264904340375716481712959667831 has 138 digits

2651287163107226408640278461741472297954542119951231268182870882468766082782233955556599571592331835898987530720987609439167002091889267079<139>

1235789835237995566301304425164160530767776685821<49>
2145419138033795338614570278350181209593697625968894650815126220762683973804912387594834899<91>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1876906132
Step 1 took 21516ms
Step 2 took 10578ms
********** Factor found in step 2: 1235789835237995566301304425164160530767776685821
Found prime factor of 49 digits: 1235789835237995566301304425164160530767776685821
Prime cofactor 2145419138033795338614570278350181209593697625968894650815126220762683973804912387594834899 has 91 digits

GMP-ECM

38474920746446290671833729729657594413025688419663756627452357634738380018845056783291995751576033658242484790425509828383936897687774688813739992122941020610404721252985996508502267741241448203667<197>

629594240861134179817161950973001<33>

61110661834869726594987982253609394431371980321392910928127700374632682018623589239772515957682413432316253888179638091403309930714988865252099750212129184873212667<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3268166902
Step 1 took 26164ms
Step 2 took 11680ms
********** Factor found in step 2: 629594240861134179817161950973001
Found prime factor of 33 digits: 629594240861134179817161950973001
Composite cofactor 61110661834869726594987982253609394431371980321392910928127700374632682018623589239772515957682413432316253888179638091403309930714988865252099750212129184873212667 has 164 digits

5638832504674524636159139447932352991507663299351438946831195439967971930067098327749511222851699743923095489130585604785982165019772767180642176649073685096524569568473<169>

65286356405009396012413808952274106595384411289421207724472773500215706121562151044425015224778313648191150094900247670321658043644712693025641347050780250302667548293623559913550418302742758176202130737756719010655777947<221>

1479820362839690435853470984496422979407<40>

44117757833612061561989922899852857630764357576001189880903430229403532694325659209486118222823870112843933330055489097140833571986994431322875908075567441212641591616628817043647221<182>

Resuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 10:10:35 2022 
Input number is 65286356405009396012413808952274106595384411289421207724472773500215706121562151044425015224778313648191150094900247670321658043644712693025641347050780250302667548293623559913550418302742758176202130737756719010655777947 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:137945600
Step 1 took 0ms
Step 2 took 5605ms
********** Factor found in step 2: 1479820362839690435853470984496422979407
Found prime factor of 40 digits: 1479820362839690435853470984496422979407
Composite cofactor 44117757833612061561989922899852857630764357576001189880903430229403532694325659209486118222823870112843933330055489097140833571986994431322875908075567441212641591616628817043647221 has 182 digits

25720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609<227>

2629774091886410589784695135549075792193147439862326066741562632803591640263734784127104345228327505753945713047466370448912956581377833318606598418769434030539040574258508897051707670104307359580582589633220147856418542221549<226>

10748145859506505347865695948269112020414342063316882964850846776683665488163951833896749734780315225878649859520375024379581524214444469144631010815759909320159279671514283488839728430530237<191>

1562325936697589156751598020966059959934138354838532751163484579029857889870155238134715339819948290587596885862225198343643829485798785911300173257144414763603773720028813458808274803089983945850389766463728209133815389911<223>

65083827970425908570238467145683640529001353743621784858898260960116630219723003228157867333125065083827970425908570238467145683640529001353743621784858898260960116630219723003228157867333125065083827970425908570238467145683640529<230>

130029195735197007125119184522048392902306911688018113003896433880833609921392925113034609931758991761196816202869212310493413744562050130530154291481422463014180692696889469<174>

85753913825529585959830503023050326568831252353862432490409681094995881981107698697115692530176771093687164186375938375621884568252046483633336865901179186621979665222464387<173>

440790618996140086881556984155989456535519880473128952409545814038734807577064928269156277737606638636694711366267301869306328784740216856065333043532649031819307600345387387735713125411<186>

11894671268301091502202754185577855000589<41>
37057822705099267260802059019583002856803094640191625404289822525621862816904792092866319449684730259780389229495308884310271337333985308562933999<146>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3193152140
Step 1 took 46137ms
Step 2 took 16066ms
********** Factor found in step 2: 11894671268301091502202754185577855000589
Found prime factor of 41 digits: 11894671268301091502202754185577855000589
Prime cofactor 37057822705099267260802059019583002856803094640191625404289822525621862816904792092866319449684730259780389229495308884310271337333985308562933999 has 146 digits

100358378738789133217059512894641152101751686276592131687955197366291917744217443559711344122045743126513900136018486123727575356806697487227705063054341736398812182590270760073269<180>

175659461436769178080928450186069543<36>
571323502405900224485586483107046491546961353043243879041338539632010391214867616796819627223787431993495823113143574000218196608009591260988483<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1195572289
Step 1 took 11912ms
Step 2 took 6245ms
********** Factor found in step 2: 175659461436769178080928450186069543
Found prime factor of 36 digits: 175659461436769178080928450186069543
Prime cofactor 571323502405900224485586483107046491546961353043243879041338539632010391214867616796819627223787431993495823113143574000218196608009591260988483 has 144 digits

6454132507712564157924088268983817771307826132412167611966349441195864629379038630930704626781440010468047682541186891071150902377979255428850783918698985612842079403047<169>

355997527487432443951592288702478971407082828096165598987284676182922558789745951747242659545372974140280663120926901489460439073580302228385412859020100773920019666046669409317714527093467618263116231<201>

15488146111415797644419661274431218638349123698887759272618537658208255389590468650950063256414542456776643956844617567248130597193756979327731880748207489550277172843993963691691885099801451549479380583211563879697280707<221>

38296230648417576398335238165774012837227<41>

404430040481171409638439232783759033037853309621696606434371193080555465736222043229215614234113359730438211308832376818703896451299306083983406581844326968281189174497007815967241<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3093073864
Step 1 took 9562ms
Step 2 took 4375ms
********** Factor found in step 2: 38296230648417576398335238165774012837227
Found prime factor of 41 digits: 38296230648417576398335238165774012837227
Composite cofactor 404430040481171409638439232783759033037853309621696606434371193080555465736222043229215614234113359730438211308832376818703896451299306083983406581844326968281189174497007815967241 has 180 digits

GMP-ECM

92731980010209934043084690914704336855872661549021216512220812207162458361814719768312855553862414867663932426060049850358808089059199973189782948672230034477721028128931456096588477113712372166870097512172284404079622971678608833031<233>

1513709853517334771520456792844288082303195897774488511752034093179330062395556575187050954058853183430363424906589483594412933661992175065763609651565289713350178819905568519824483242132215603961294212928569828867262513<220>

49479141816084086823304843431520341752208355987509885088743627565164691581698472467891154642733636073888862893071831399484647223443618810193832466275411680093954296185746482252957913103055844749757489120223561687099479086721132239<230>

300363745375474460820570546323908471786141234872199718379284505257192114716514638963198603393306543745365950466458235345828378369408156395008237521311853333716773055861899772083<177>

119115685153421002477606251191156851534210024776062511911568515342100247760625119115685153421002477606251191156851534210024776062511911568515342100247760625119115685153421002477606251191156851534210024776062511911568515342100247760625119115685153421<249>

19285752976803738117324257221938703182757922483122799681793235677606757982401430149969349426851603403327363711161211099633128553381690068222301811621282651369311916889376385793747101141806429758948936065266210204317192108381<224>

3207113529404905739380272756717776158742141099502464901518171813765688103518652280150871607922245824168336953564435738313718806314517059432930869197889517823179287690832149625730498689876184882544773096173781409614876967007181155569<232>

266325161387646868473589318588666282609<39>

12042097384620840981592436502522110649438212489165460469340141183024972297602708769599529157088379324986475268260045957233772368301919247248263828056140362968388389585291218481114219508651725441<194>

esuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 10:50:33 2022 
Input number is 3207113529404905739380272756717776158742141099502464901518171813765688103518652280150871607922245824168336953564435738313718806314517059432930869197889517823179287690832149625730498689876184882544773096173781409614876967007181155569 (232 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2921036642
Step 1 took 0ms
Step 2 took 6076ms
********** Factor found in step 2: 266325161387646868473589318588666282609
Found prime factor of 39 digits: 266325161387646868473589318588666282609
Composite cofactor 12042097384620840981592436502522110649438212489165460469340141183024972297602708769599529157088379324986475268260045957233772368301919247248263828056140362968388389585291218481114219508651725441 has 194 digits

111342703935296527889120481713074305666898259490852083444676037268629861222453815046407639000231592824185416778009370601963194555787148379740972333564926157518750111342703935296527889120481713074305666898259490852083444676037268629861222453815046407639<252>

32603792198060256233602985583485889789269701096510664139467947753988373503980534302663698819129512682500744596875348443129001840325375103372824694197818437104616318875010474596807187949217568137973456735902714815806945720739<224>

311844140639184157703576907898208756539379<42>
104551562621098327334428909477794218173539196690596495863308043475631494560775474483053277715111948219191912752708710424573352558994834770399729642455117043308931526730339335378557841<183>

Resuming ECM residue saved by @8073ca6b4746 with GMP-ECM 7.0.5-dev on Fri Nov 17 10:15:55 2023 
Input number is 32603792198060256233602985583485889789269701096510664139467947753988373503980534302663698819129512682500744596875348443129001840325375103372824694197818437104616318875010474596807187949217568137973456735902714815806945720739 (224 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2678944670
Step 1 took 0ms
Step 2 took 18946ms
********** Factor found in step 2: 311844140639184157703576907898208756539379
Found prime factor of 42 digits: 311844140639184157703576907898208756539379
Prime cofactor 104551562621098327334428909477794218173539196690596495863308043475631494560775474483053277715111948219191912752708710424573352558994834770399729642455117043308931526730339335378557841 has 183 digits

8715080576389881981358578269828982545210276600736243522217009254019408418330971277879306319246276013646507922522864002122489248928514402130579564700744455939451055000245589767443530577232972450355579306003<205>

1382187149942350921154978415405425656288959003721525474307566120563947646209222423910391893113667276067779721916789655410347964522426361263887760137099127365644556291053278581870398681306860849540411766928737400270537<217>

1330251654047304587834245391859335404949771520520040485189586062053276499142335570552054991942722134105607717202499833512620288040403770522584830923249260592335303618437084194394320934590405140820134671667894406999850439487275064573836694710374360874181<253>

79486453850580381609002544852163940284898185413888620779192876260410046873545510833864761661237684916993722397339064130087469040510301896568531385154816572419341146714796727065277026809223091952229899513280890101798941193749230161898366134829<242>

32465700311655060282417052389581846600533683426036800985308510899585535983870062078209077653375829822678438712226849948910308559681161939514639627316537821705010387252806158843402893994734549971897216879313729<209>

9996586258576677525777556271403492374397209684253544101907676444977453557959095232898902542948106059120622333177891045390574660928591735685309904592087069825671179142514805865358589277919<187>

3882072369538164397930302075544964512886494132712033840145634004818318762911177488324204234712783416452833772451176214178185869284652238048955573319621164738630299384815184315523333291961154536396467022704833755141951943497033813277078811409<241>

550019463624966294835334652128176016590278643<45>

7058063625517761950868304881451399565576246100852179247168102870747222060454310336116680310867529904594914710123353623025252038771898806332581562140493062322367994985157440322122633157115229648363<196>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1687032616
Step 1 took 8938ms
Step 2 took 3875ms
********** Factor found in step 2: 550019463624966294835334652128176016590278643
Found prime factor of 45 digits: 550019463624966294835334652128176016590278643
Composite cofactor 7058063625517761950868304881451399565576246100852179247168102870747222060454310336116680310867529904594914710123353623025252038771898806332581562140493062322367994985157440322122633157115229648363 has 196 digits

GMP-ECM

12330775350414005035170486831433840719475011251768354157100267955261775412351015965943526565425338316067743955254893012240524434417838880264340985337363390867031285495495204475342729354673063991878731753589703444899446659693122999<230>

1104325464991258362126803942212766228457872287064971875548081326929126831334101275235377658793456150177843905442320670775165398791189527054278677485000966742784092998032820639573341791187071230915120060645378736669256597405417<226>

202829567027631162290360843574215806861403257665297629171748110999139356586488723944435023338484205012882896273279691498039593963110484799366666982814642513475010153588380335669467<180>

5531006695954263153535619678092072577726739388654745277490851492621323354049207311558365845983581663714032724324303039786114456456375650208408629290846337949777909546046996523431050868286085766952943169<202>

1176605690253374975761922780780475499304390715922204714329551252002582884811244208746792572888369299816072998499592423788896230908396069948737643287040959056004548286956243446306305288701385006090111052751468874543712313319741184399526345613331601369757280365369011783<268>

21009468328881462974245293877908111879029<41>

56003591896512169704840306381130402144487393122668330293665204996477583914290645447429682755805406444026760032116491230108894499106463092610866325019767641062542164847797539155630127057712017924597698200130360736349616185182027<227>

Resuming ECM residue saved by @4993db449cb2 with GMP-ECM 7.0.5-dev on Mon Jun  6 23:04:41 2022 
Input number is 1176605690253374975761922780780475499304390715922204714329551252002582884811244208746792572888369299816072998499592423788896230908396069948737643287040959056004548286956243446306305288701385006090111052751468874543712313319741184399526345613331601369757280365369011783 (268 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3078526928
Step 1 took 0ms
Step 2 took 10504ms
********** Factor found in step 2: 21009468328881462974245293877908111879029
Found prime factor of 41 digits: 21009468328881462974245293877908111879029
Composite cofactor 56003591896512169704840306381130402144487393122668330293665204996477583914290645447429682755805406444026760032116491230108894499106463092610866325019767641062542164847797539155630127057712017924597698200130360736349616185182027 has 227 digits

13999539081871127377307029861532950710548221426606570389942801679122076237941728698649081056414958143432297347499392024426138156451042602993414582781021696389961289044583189075804329619962492085927849665065659144883330736147039330740601211409819040591<251>

129829761606767597923351903549975899989248770272856069955923445191391114285413535423532924500433925959266544807060991091655823308602806611708749766107873294580039053297042050320440129827529957303602446270507561146032001872911620215183744174962716424035626359497<261>

68670989964256660896253867578331003487<38>

1890605649843466022219356829178663303769666404699775614076674005988084771470984896841387966096917740091548611532414834787136450780716880837701634736104933703920391504324737232468091671802245228495447805570856644562156342231<223>

Resuming ECM residue saved by @fc4e8b0b725e with GMP-ECM 7.0.5-dev on Fri Nov 17 19:54:28 2023 
Input number is 129829761606767597923351903549975899989248770272856069955923445191391114285413535423532924500433925959266544807060991091655823308602806611708749766107873294580039053297042050320440129827529957303602446270507561146032001872911620215183744174962716424035626359497 (261 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2118480023
Step 1 took 0ms
Step 2 took 23806ms
********** Factor found in step 2: 68670989964256660896253867578331003487
Found prime factor of 38 digits: 68670989964256660896253867578331003487
Composite cofactor 1890605649843466022219356829178663303769666404699775614076674005988084771470984896841387966096917740091548611532414834787136450780716880837701634736104933703920391504324737232468091671802245228495447805570856644562156342231 has 223 digits

12726414656957252306073535441719467489437026875107645937098321218867125590722124712023906348871780429175968255104453699646055875773065616287535223905585088366895455582997462129648236454102421056522253110759219804911987<218>

29380313379611283237390837301604211589200966197147510367931144913371480819104293650787609911928035242542484039125801908735184985668581815087479224264127830917554575887980700093574111317861284153009175881684338129735805317116329351659845607697<242>