5150182433639545026879196601887324460596271990285181027297589400735358810376210287323353671658221495299055007<109>

222192661674286001329668209859378894872958377<45>
23178904266375991391998958632426793396964481214579893398353565191<65>

Thu May 19 10:47:07 2022  Msieve v. 1.53 (SVN unknown)
Thu May 19 10:47:07 2022  random seeds: 27f620a0 c0cb4df1
Thu May 19 10:47:07 2022  factoring 5150182433639545026879196601887324460596271990285181027297589400735358810376210287323353671658221495299055007 (109 digits)
Thu May 19 10:47:07 2022  searching for 15-digit factors
Thu May 19 10:47:08 2022  commencing number field sieve (109-digit input)
Thu May 19 10:47:08 2022  R0: -500000000000000000000000000000000000
Thu May 19 10:47:08 2022  R1: 1
Thu May 19 10:47:08 2022  A0: -5
Thu May 19 10:47:08 2022  A1: 0
Thu May 19 10:47:08 2022  A2: 27
Thu May 19 10:47:08 2022  A3: 0
Thu May 19 10:47:08 2022  A4: 8
Thu May 19 10:47:08 2022  skew 0.89, size 1.147e-14, alpha -0.293, combined = 3.766e-09 rroots = 2
Thu May 19 10:47:08 2022  
Thu May 19 10:47:08 2022  commencing square root phase
Thu May 19 10:47:08 2022  reading relations for dependency 1
Thu May 19 10:47:08 2022  read 115983 cycles
Thu May 19 10:47:08 2022  cycles contain 383714 unique relations
Thu May 19 10:47:13 2022  read 383714 relations
Thu May 19 10:47:14 2022  multiplying 383714 relations
Thu May 19 10:47:20 2022  multiply complete, coefficients have about 9.45 million bits
Thu May 19 10:47:20 2022  initial square root is modulo 269039
Thu May 19 10:47:27 2022  GCD is N, no factor found
Thu May 19 10:47:27 2022  reading relations for dependency 2
Thu May 19 10:47:27 2022  read 115269 cycles
Thu May 19 10:47:27 2022  cycles contain 383694 unique relations
Thu May 19 10:47:32 2022  read 383694 relations
Thu May 19 10:47:33 2022  multiplying 383694 relations
Thu May 19 10:47:39 2022  multiply complete, coefficients have about 9.45 million bits
Thu May 19 10:47:39 2022  initial square root is modulo 268843
Thu May 19 10:47:46 2022  sqrtTime: 38
Thu May 19 10:47:46 2022  p45 factor: 222192661674286001329668209859378894872958377
Thu May 19 10:47:46 2022  p65 factor: 23178904266375991391998958632426793396964481214579893398353565191
Thu May 19 10:47:46 2022  elapsed time 00:00:39

8511864604350522437498585737410217780789068667444423975079604620880524674232811683073663317109099163063895208897994900495007<124>

12101966270514182026313076856016214217926512338240165756423<59>
703345589806281518989362191678004866141261156382641517768531466409<66>

8511864604350522437498585737410217780789068667444423975079604620880524674232811683073663317109099163063895208897994900495007=12101966270514182026313076856016214217926512338240165756423*703345589806281518989362191678004866141261156382641517768531466409

cado polynomial
n: 8511864604350522437498585737410217780789068667444423975079604620880524674232811683073663317109099163063895208897994900495007
skew: 0.56
type: snfs
c0: -2
c2: 27
c4: 20
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 20*x^4+27*x^2-2
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 2500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 703345589806281518989362191678004866141261156382641517768531466409 12101966270514182026313076856016214217926512338240165756423
Info:Square Root: Total cpu/real time for sqrt: 50.33/16.8391
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.52/70.3366
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11632450
Info:Lattice Sieving: Average J: 1882.65 for 325343 special-q, max bucket fill -bkmult 1.0,1s:1.300060
Info:Lattice Sieving: Total time: 42415.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 89.85/58.9779
Info:Linear Algebra: Total cpu/real time for bwc: 1544.27/398.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 948.95, WCT time 242.67, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10112 iterations)
Info:Linear Algebra: Lingen CPU time 46.94, WCT time 12.0
Info:Linear Algebra: Mksol: CPU time 518.53,  WCT time 132.36, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5120 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.46/49.4019
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.3s
Info:Filtering - Merging: Merged matrix has 322588 rows and total weight 54930377 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 65.3/18.2869
Info:Filtering - Merging: Total cpu/real time for replay: 10.14/8.43968
Info:Generate Factor Base: Total cpu/real time for makefb: 1.57/2.11309
Info:Quadratic Characters: Total cpu/real time for characters: 10.14/3.99565
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.42/86.4993
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.5s
Info:Square Root: Total cpu/real time for sqrt: 50.33/16.8391
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 60864.2/22094.2
Info:root: Cleaning up computation data in /tmp/cado.91virs88
703345589806281518989362191678004866141261156382641517768531466409 12101966270514182026313076856016214217926512338240165756423

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)

39454311342099981219565180726838035700500700480938848424986521953512816720251765235258723980345720513<101>

99492129370686497768810889655271588593098922531<47>
396557110513753452375138320851884026241595306951653323<54>

N=39454311342099981219565180726838035700500700480938848424986521953512816720251765235258723980345720513
  ( 101 digits)
Divisors found:
p47 factor: 99492129370686497768810889655271588593098922531
p54 factor: 396557110513753452375138320851884026241595306951653323
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.52 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 39454311342099981219565180726838035700500700480938848424986521953512816720251765235258723980345720513
skew: 683469.52
c0: -1020904988036858416905031597
c1: -3752472538099789647947
c2: -3113420206277228
c3: -5959608268
c4: 18480
Y0: -1208782946457433551578130
Y1: 6877513262363
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [970000, 1370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 176040 x 176267
Total sieving time: 4.43 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1940000,1940000,26,26,52,52,2.5,2.5,100000
total time: 4.52 hours.
 --------- CPU info (if available) ----------

11111111111111111111111111111111111111111111111111111111111111111111111111111111261111111111111111111111111111111111111111111111111111111111111111111111111111111<161>

8029396559415813543070536527207262666626088142931030669674357133610156669029<76>
1383804004309822090724295983681263259881700856387727754437842627441427459836182249659<85>

Number: n
N=11111111111111111111111111111111111111111111111111111111111111111111111111111111261111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 161 digits)
SNFS difficulty: 161 digits.
Divisors found:

Thu May 19 07:53:30 2022  p76 factor: 8029396559415813543070536527207262666626088142931030669674357133610156669029
Thu May 19 07:53:30 2022  p85 factor: 1383804004309822090724295983681263259881700856387727754437842627441427459836182249659
Thu May 19 07:53:30 2022  elapsed time 00:09:20 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 2x10^161+27x10^80-2 = 2(80)52(80)
#
n: 11111111111111111111111111111111111111111111111111111111111111111111111111111111261111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 10000000000000000000000000000000000000000
deg: 4
c4: 20
c2: 27
c0: -2
skew: 0.56
# Murphy_E = 4.215e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2483876 hash collisions in 17932104 relations (16598702 unique)
Msieve: matrix is 492743 x 492969 (164.5 MB)

Sieving start time : 2022/05/19 07:08:06
Sieving end time  : 2022/05/19 07:43:47

Total sieving time: 0hrs 35min 41secs.

Total relation processing time: 0hrs 3min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 43sec.

Prototype def-par.txt line would be:
snfs,161,4,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

448124442365147031870162216566891759574066680020775049148048216397500720360041101973914228085482426127805987211424663783434004489310663614042965275285085567121647413<165>

1932508109765371788249750421389126895437053776769758611993617426920807<70>
231887483473254028126566238470127979699223206891339351901300660047473512532761830012297701171459<96>

Number: n
N=448124442365147031870162216566891759574066680020775049148048216397500720360041101973914228085482426127805987211424663783434004489310663614042965275285085567121647413  ( 165 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat May 21 19:10:51 2022  p70 factor: 1932508109765371788249750421389126895437053776769758611993617426920807
Sat May 21 19:10:51 2022  p96 factor: 231887483473254028126566238470127979699223206891339351901300660047473512532761830012297701171459
Sat May 21 19:10:51 2022  elapsed time 00:10:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 2x10^171+27x10^85-2 = 2(85)52(85)
#
n: 448124442365147031870162216566891759574066680020775049148048216397500720360041101973914228085482426127805987211424663783434004489310663614042965275285085567121647413
m: 5000000000000000000000000000000000000000000
deg: 4
c4: 8
c2: 27
c0: -5
skew: 0.89
# Murphy_E = 1.31e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 29750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1453335 hash collisions in 14609078 relations (14642164 unique)
Msieve: matrix is 673734 x 673963 (232.5 MB)

Sieving start time : 2022/05/21 10:21:57
Sieving end time  : 2022/05/21 18:59:15

Total sieving time: 8hrs 37min 18secs.

Total relation processing time: 0hrs 6min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,171,4,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

374071712623018035836613787974573084472082317844133054043336516144847589260618914569895313305032318916615479606647269777345628452963<132>

9901527040214275802947126445231683626827733231767076205030169021<64>
37779194169117056581944236468649205160422808309213958689460461087903<68>

374071712623018035836613787974573084472082317844133054043336516144847589260618914569895313305032318916615479606647269777345628452963=9901527040214275802947126445231683626827733231767076205030169021*37779194169117056581944236468649205160422808309213958689460461087903

cado polynomial
n: 374071712623018035836613787974573084472082317844133054043336516144847589260618914569895313305032318916615479606647269777345628452963
skew: 0.32
type: snfs
c0: -1
c3: 135
c6: 1000
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 1000*x^6+135*x^3-1
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6200000
tasks.lim1 = 6200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 37779194169117056581944236468649205160422808309213958689460461087903 9901527040214275802947126445231683626827733231767076205030169021
Info:Square Root: Total cpu/real time for sqrt: 228.7/70.1672
Info:Quadratic Characters: Total cpu/real time for characters: 29.8/11.8546
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 230.99/194.559
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 175.7s
Info:Square Root: Total cpu/real time for sqrt: 228.7/70.1672
Info:Linear Algebra: Total cpu/real time for bwc: 12612.2/3241.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7973.99, WCT time 2041.11, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Linear Algebra: Lingen CPU time 156.17, WCT time 39.68
Info:Linear Algebra: Mksol: CPU time 4340.38,  WCT time 1108.98, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 134.01/129.244
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22421488
Info:Lattice Sieving: Average J: 1887.51 for 1004199 special-q, max bucket fill -bkmult 1.0,1s:1.203790
Info:Lattice Sieving: Total time: 146031s
Info:Generate Free Relations: Total cpu/real time for freerel: 238.99/61.1775
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.96/103.154
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.1s
Info:Filtering - Merging: Merged matrix has 897649 rows and total weight 153394101 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 210.85/58.7327
Info:Filtering - Merging: Total cpu/real time for replay: 31.33/26.328
Info:Generate Factor Base: Total cpu/real time for makefb: 5.39/2.69498
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 273312/77183.1
Info:root: Cleaning up computation data in /tmp/cado.vbnf317e
37779194169117056581944236468649205160422808309213958689460461087903 9901527040214275802947126445231683626827733231767076205030169021

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)

777979187784742492651960847267249560609106364944961253560181377289752564258341112157194141894060920439250344528072855132880173232185496664920803594630487<153>

222284690205395730099199523192047177843<39>
3499922496083168644130846978585498146795022528498565790629548368764250353334609076679836399504467596652388125639309<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1028067163
Step 1 took 5828ms
Step 2 took 3610ms
********** Factor found in step 2: 222284690205395730099199523192047177843
Found prime factor of 39 digits: 222284690205395730099199523192047177843
Prime cofactor 3499922496083168644130846978585498146795022528498565790629548368764250353334609076679836399504467596652388125639309 has 115 digits

GMP-ECM

3336717752207204706049967416326905514442922450087477209380016718342692114400002319488271892000946550843<103>

33636032895030854855143954275796511<35>
99200692383082647804513256733314954799764523568421995969522067354213<68>

N=3336717752207204706049967416326905514442922450087477209380016718342692114400002319488271892000946550843
  ( 103 digits)
Divisors found:
p35 factor: 33636032895030854855143954275796511
p68 factor: 99200692383082647804513256733314954799764523568421995969522067354213
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.52 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3336717752207204706049967416326905514442922450087477209380016718342692114400002319488271892000946550843
skew: 1364871.67
c0: -5376578095254927212671011385
c1: 823694754515884765969
c2: -29114019621662436
c3: -21286132328
c4: 14280
Y0: -3909742596088589888973684
Y1: 8449715859521
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 238318 x 238545
Total sieving time: 4.42 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 4.52 hours.
 --------- CPU info (if available) ----------

24689243546176666050117231141735610182025339881766520833217806558478416663551363419840797623417076116166835110187213677957046881442560045584201361088344560887001893<164>

4711269421462018859671685697967907311821958591528990804589500931817525046336965271<82>
5240465220202797713217429951467558982889350478274172347562587900058114217365656483<82>

Number: n
N=24689243546176666050117231141735610182025339881766520833217806558478416663551363419840797623417076116166835110187213677957046881442560045584201361088344560887001893  ( 164 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun May 29 06:07:01 2022  p82 factor: 4711269421462018859671685697967907311821958591528990804589500931817525046336965271
Sun May 29 06:07:01 2022  p82 factor: 5240465220202797713217429951467558982889350478274172347562587900058114217365656483
Sun May 29 06:07:01 2022  elapsed time 00:30:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 2x10^187+27x10^93-2 = 2(93)52(93)
#
n: 24689243546176666050117231141735610182025339881766520833217806558478416663551363419840797623417076116166835110187213677957046881442560045584201361088344560887001893
m: 10000000000000000000000000000000
deg: 6
c6: 20
c3: 27
c0: -2
skew: 0.68
# Murphy_E = 3.553e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3620200 hash collisions in 29631440 relations (27373125 unique)
Msieve: matrix is 1114633 x 1114859 (382.6 MB)

Sieving start time : 2022/05/29 00:55:39
Sieving end time  : 2022/05/29 05:35:45

Total sieving time: 4hrs 40min 6secs.

Total relation processing time: 0hrs 20min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 50sec.

Prototype def-par.txt line would be:
snfs,187,6,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

1246613620991340922638108500213440573258867979728308416182741230342138415171495030944252350355906593192307557705387685624101207322652023006015932525171<151>

2953337239386225351352095162946409391099970608531138241371459388365893<70>
422103376602672464965602115826948444992834877513909503161629042528539102952047447<81>

1246613620991340922638108500213440573258867979728308416182741230342138415171495030944252350355906593192307557705387685624101207322652023006015932525171=2953337239386225351352095162946409391099970608531138241371459388365893*422103376602672464965602115826948444992834877513909503161629042528539102952047447

cado polynomial
n: 1246613620991340922638108500213440573258867979728308416182741230342138415171495030944252350355906593192307557705387685624101207322652023006015932525171
skew: 0.68
type: snfs
c0: -2
c3: 27
c6: 20
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 20*x^6+27*x^3-2
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11700000
tasks.lim1 = 11700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 422103376602672464965602115826948444992834877513909503161629042528539102952047447 2953337239386225351352095162946409391099970608531138241371459388365893
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 694.79/216.988
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 354.26/346.475
Info:Filtering - Merging: Merged matrix has 2146301 rows and total weight 367688189 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 640.28/176.782
Info:Filtering - Merging: Total cpu/real time for replay: 91.98/138.881
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26235447
Info:Lattice Sieving: Average J: 1887.3 for 2220641 special-q, max bucket fill -bkmult 1.0,1s:1.178600
Info:Lattice Sieving: Total time: 413861s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 523.42/581.137
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 437.3s
Info:Linear Algebra: Total cpu/real time for bwc: 93564.3/24488.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 57652.16, WCT time 14838.0, iteration CPU time 0.2, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (67584 iterations)
Info:Linear Algebra: Lingen CPU time 379.33, WCT time 383.61
Info:Linear Algebra: Mksol: CPU time 34602.68,  WCT time 8916.73, iteration CPU time 0.24, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.07/3.40714
Info:Generate Free Relations: Total cpu/real time for freerel: 223.99/57.717
Info:Square Root: Total cpu/real time for sqrt: 694.79/216.988
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.76/100.974
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 100.3s
Info:Quadratic Characters: Total cpu/real time for characters: 76.87/32.5697
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 874466/232799
Info:root: Cleaning up computation data in /tmp/cado.3atckvhb
422103376602672464965602115826948444992834877513909503161629042528539102952047447 2953337239386225351352095162946409391099970608531138241371459388365893

cado-nfs-3.0.0

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

49951222056873876774080300606011195702178502806638939581820499265279149983213230787085371171362271665907667770901333401625961992647463<134>

7909551097450685399446978057407536698658538596650307<52>
6315304300009336083944053800116456334902968203762650227790861270898883213417452109<82>

49951222056873876774080300606011195702178502806638939581820499265279149983213230787085371171362271665907667770901333401625961992647463=7909551097450685399446978057407536698658538596650307*6315304300009336083944053800116456334902968203762650227790861270898883213417452109

cado polynomial
n: 49951222056873876774080300606011195702178502806638939581820499265279149983213230787085371171362271665907667770901333401625961992647463
skew: 114488.701
c0: 15581278583911103488913318824500
c1: -117592014443803353523299005
c2: -12116232266508062716434
c3: 52660880928893
c4: 150006864582
c5: 1053360
Y0: -48909167953223928053279138
Y1: 5722599664215781013
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.428e-07
# f(x) = 1053360*x^5+150006864582*x^4+52660880928893*x^3-12116232266508062716434*x^2-117592014443803353523299005*x+15581278583911103488913318824500
# g(x) = 5722599664215781013*x-48909167953223928053279138

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 7909551097450685399446978057407536698658538596650307 6315304300009336083944053800116456334902968203762650227790861270898883213417452109
Info:Square Root: Total cpu/real time for sqrt: 428.78/128.902
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 198.28/169.968
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 156.7s
Info:Square Root: Total cpu/real time for sqrt: 428.78/128.902
Info:Filtering - Singleton removal: Total cpu/real time for purge: 94.36/103.138
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17020073
Info:Lattice Sieving: Average J: 3768.23 for 549823 special-q, max bucket fill -bkmult 1.0,1s:1.218810
Info:Lattice Sieving: Total time: 187850s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.18/4.03566
Info:Linear Algebra: Total cpu/real time for bwc: 23614.2/6051.26
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14995.67, WCT time 3830.33, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38656 iterations)
Info:Linear Algebra: Lingen CPU time 234.78, WCT time 59.47
Info:Linear Algebra: Mksol: CPU time 8174.46,  WCT time 2085.47, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19456 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 248.42/62.9448
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.09/89.7542
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6792.41
Info:Polynomial Selection (root optimized): Rootsieve time: 6789.94
Info:Filtering - Merging: Merged matrix has 1234308 rows and total weight 210227879 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 319.16/88.8961
Info:Filtering - Merging: Total cpu/real time for replay: 45.35/38.2099
Info:Quadratic Characters: Total cpu/real time for characters: 41.19/17.1964
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 53932/40.250/48.046/53.240/0.972
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44114/38.540/42.869/48.780/1.041
Info:Polynomial Selection (size optimized): Total time: 11134.1
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 394789/106054
Info:root: Cleaning up computation data in /tmp/cado._26nym1j
7909551097450685399446978057407536698658538596650307 6315304300009336083944053800116456334902968203762650227790861270898883213417452109

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)

898693630937508541383195636011190519780525562798270051977626243771064386241136874099820887147607708998688247604223896105423256581410006696973<141>

1796590085667398923551854349360854671700826660674141<52>
500221858122778748239025648201076893414334268679359245622616617514933201199641197703517553<90>

898693630937508541383195636011190519780525562798270051977626243771064386241136874099820887147607708998688247604223896105423256581410006696973=1796590085667398923551854349360854671700826660674141*500221858122778748239025648201076893414334268679359245622616617514933201199641197703517553

cado polynomial
n: 898693630937508541383195636011190519780525562798270051977626243771064386241136874099820887147607708998688247604223896105423256581410006696973
skew: 0.32
type: snfs
c0: -1
c3: 135
c6: 1000
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^6+135*x^3-1
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15700000
tasks.lim1 = 15700000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1796590085667398923551854349360854671700826660674141 500221858122778748239025648201076893414334268679359245622616617514933201199641197703517553
Info:Square Root: Total cpu/real time for sqrt: 1312.49/389.632
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 567/575.196
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 550.3s
Info:Square Root: Total cpu/real time for sqrt: 1312.49/389.632
Info:Generate Factor Base: Total cpu/real time for makefb: 13.57/4.65661
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 191.46/192.358
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 192.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 265.37/237.692
Info:Filtering - Merging: Merged matrix has 2159796 rows and total weight 367266191 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 598.71/163.827
Info:Filtering - Merging: Total cpu/real time for replay: 81.78/73.1325
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43287399
Info:Lattice Sieving: Average J: 3778.78 for 1426038 special-q, max bucket fill -bkmult 1.0,1s:1.170850
Info:Lattice Sieving: Total time: 742134s
Info:Linear Algebra: Total cpu/real time for bwc: 80257/20588.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 51268.92, WCT time 13092.87, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (67584 iterations)
Info:Linear Algebra: Lingen CPU time 480.97, WCT time 121.82
Info:Linear Algebra: Mksol: CPU time 27771.98,  WCT time 7116.87, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 75.33/33.9381
Info:Generate Free Relations: Total cpu/real time for freerel: 478.66/121.111
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.51318e+06/167469
Info:root: Cleaning up computation data in /tmp/cado.6hitegwt
1796590085667398923551854349360854671700826660674141 500221858122778748239025648201076893414334268679359245622616617514933201199641197703517553

cado-nfs-3.0.0

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

8038872908191409393381508931522936494524896969646125347932795502176571968609885040242951817822088162931656624392681571505454731913982061195700195919065966542508178405082219337410209<181>

3446525119495309770946675110560706575172935675486249935663<58>
2332457367775859366602098825608924552292002501482563602043052252258871439130207715180583601182259088580417466423631834160943<124>

Number: n
N=8038872908191409393381508931522936494524896969646125347932795502176571968609885040242951817822088162931656624392681571505454731913982061195700195919065966542508178405082219337410209  ( 181 digits)
SNFS difficulty: 204 digits.
Divisors found:

Wed Aug 23 12:23:04 2023  prp58 factor: 3446525119495309770946675110560706575172935675486249935663
Wed Aug 23 12:23:04 2023  prp124 factor: 2332457367775859366602098825608924552292002501482563602043052252258871439130207715180583601182259088580417466423631834160943
Wed Aug 23 12:23:04 2023  elapsed time 02:57:23 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
#
# N = 2x10^203+27x10^101-2 = 2(101)52(101)
#
n: 8038872908191409393381508931522936494524896969646125347932795502176571968609885040242951817822088162931656624392681571505454731913982061195700195919065966542508178405082219337410209
m: 10000000000000000000000000000000000
deg: 6
c6: 2
c3: 27
c0: -20
skew: 1.47
# Murphy_E = 9.928e-12
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3137810 hash collisions in 17812069 relations (15246179 unique)
Msieve: matrix is 2303465 x 2303690 (646.2 MB)

Sieving start time: 2023/08/22 17:45:23
Sieving end time  : 2023/08/23 09:25:19

Total sieving time: 15hrs 39min 56secs.

Total relation processing time: 2hrs 40min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 55sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,17800000,17800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

79658998944126830029572970247099116138829042981524348643768418903909156844554212064325026203364115786037829813560798527258174563279674076071511668865187<152>

547199287676143133748853615882246706268345271063<48>
145575845470165464004408392296225903916481353380387228700369849638322295238365990685265836389517701553749<105>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 79658998944126830029572970247099116138829042981524348643768418903909156844554212064325026203364115786037829813560798527258174563279674076071511668865187 (152 digits)
Using B1=61460000, B2=388130449990, polynomial Dickson(30), sigma=1:1912369145
Step 1 took 105511ms
Step 2 took 42305ms
********** Factor found in step 2: 547199287676143133748853615882246706268345271063
Found prime factor of 48 digits: 547199287676143133748853615882246706268345271063
Prime cofactor 145575845470165464004408392296225903916481353380387228700369849638322295238365990685265836389517701553749 has 105 digits

19223925248110956967341304105974337846570529182917090516176074174558314009791949856096160252706824282277841315849253258831287087<128>

6856259482482158675520412482994216392431<40>
83509151911390819754462834216717174392327<41>
33575365595799686858805604481847656056333160951<47>

19223925248110956967341304105974337846570529182917090516176074174558314009791949856096160252706824282277841315849253258831287087=6856259482482158675520412482994216392431*83509151911390819754462834216717174392327*33575365595799686858805604481847656056333160951

cado polynomial
n: 19223925248110956967341304105974337846570529182917090516176074174558314009791949856096160252706824282277841315849253258831287087
skew: 165733.21
c0: 1059496328470998976502297465070
c1: -21790951179516126095958793
c2: -365970463698949277856
c3: 1489045871567533
c4: 5250692206
c5: 6720
Y0: -5636487717635379954466228
Y1: 40892695984724111
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 6.172e-07
# f(x) = 6720*x^5+5250692206*x^4+1489045871567533*x^3-365970463698949277856*x^2-21790951179516126095958793*x+1059496328470998976502297465070
# g(x) = 40892695984724111*x-5636487717635379954466228

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

cado log (extracts)
Info:Square Root: Factors: 6856259482482158675520412482994216392431 83509151911390819754462834216717174392327 33575365595799686858805604481847656056333160951
Info:Square Root: Total cpu/real time for sqrt: 553.52/165.178
Info:Filtering - Singleton removal: Total cpu/real time for purge: 130.2/136.375
Info:Linear Algebra: Total cpu/real time for bwc: 33357.6/8550.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 21246.09, WCT time 5422.01, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45568 iterations)
Info:Linear Algebra: Lingen CPU time 287.6, WCT time 73.03
Info:Linear Algebra: Mksol: CPU time 11570.66,  WCT time 2963.61, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22784 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23228691
Info:Lattice Sieving: Average J: 8005.67 for 42710 special-q, max bucket fill -bkmult 1.0,1s:1.070200
Info:Lattice Sieving: Total time: 64516.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.54/10.7389
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4802.35
Info:Polynomial Selection (root optimized): Rootsieve time: 4799.99
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.45/115.198
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 251.72/64.2763
Info:Filtering - Merging: Merged matrix has 1456879 rows and total weight 247943225 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 349.6/99.1795
Info:Filtering - Merging: Total cpu/real time for replay: 56.67/47.1865
Info:Quadratic Characters: Total cpu/real time for characters: 55.83/22.8924
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38779/37.110/45.396/48.860/0.855
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30467/37.040/40.676/46.170/0.906
Info:Polynomial Selection (size optimized): Total time: 4838.93
Info:Square Root: Total cpu/real time for sqrt: 553.52/165.178
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 266.03/229.621
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 212.39999999999998s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 166377/45489.3
Info:root: Cleaning up computation data in /tmp/cado.r9mrcb75
6856259482482158675520412482994216392431 83509151911390819754462834216717174392327 33575365595799686858805604481847656056333160951

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)

1521207540462346566702760344859490444029504706622348555742418065943952744955256311501989290328667119581230414741674457936962247099526583461324747447987<151>

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111112611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<211>

38439242901852216643934325806936302718759<41>
28905645044782388111382584005223534367962428441800480817365500308486243188666364687371755679845739609087244438291090493626395952204363366539000867065472073231884848376929<170>

Resuming ECM residue saved by @80f64d3c58eb with GMP-ECM 7.0.5-dev on Fri Jul 29 12:00:02 2022 
Input number is 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111112611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (211 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3773469718
Step 1 took 0ms
Step 2 took 3397ms
********** Factor found in step 2: 38439242901852216643934325806936302718759
Found prime factor of 41 digits: 38439242901852216643934325806936302718759
Prime cofactor 28905645044782388111382584005223534367962428441800480817365500308486243188666364687371755679845739609087244438291090493626395952204363366539000867065472073231884848376929 has 170 digits

111069826447452599089733351862733787223750071073706841940849470436378175572982555822607622360634728431577128232659939776046479144974464787573579311422029803154447742630569567161<177>

611541824555539504827430606106034371<36>

181622616782060126924639386506291606288614964273912057872627264265371314606757732535859256022991468157790015610462039600585654060914881921491<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1152754393
Step 1 took 8527ms
Step 2 took 4082ms
********** Factor found in step 2: 611541824555539504827430606106034371
Found prime factor of 36 digits: 611541824555539504827430606106034371
Composite cofactor 181622616782060126924639386506291606288614964273912057872627264265371314606757732535859256022991468157790015610462039600585654060914881921491 has 141 digits

181622616782060126924639386506291606288614964273912057872627264265371314606757732535859256022991468157790015610462039600585654060914881921491<141>

34207364082130103327121411779090235684573012713<47>
5309459575604646513220240207375264539406513199275793809756545043350144115997691937349141852507<94>

Number: 1
N=181622616782060126924639386506291606288614964273912057872627264265371314606757732535859256022991468157790015610462039600585654060914881921491
  ( 141 digits)
Divisors found:
 r1=34207364082130103327121411779090235684573012713 (pp47)
 r2=5309459575604646513220240207375264539406513199275793809756545043350144115997691937349141852507 (pp94)
Version: Msieve v. 1.52 (SVN 927)
Total time: 354.53 hours.
Scaled time: 2778.42 units (timescale=7.837).
Factorization parameters were as follows:
# Murphy_E = 2.008e-11, selected by Dmitry Domanov
n: 181622616782060126924639386506291606288614964273912057872627264265371314606757732535859256022991468157790015610462039600585654060914881921491
Y0: -2281206048028683909256981418
Y1: 645989989168519
c0: -223667230767477161061748994402028507
c1: -812251202940987046470922116162
c2: -348266849338559976109721
c3: 693681327857278912
c4: 634004398
c5: 2940
skew: 2324562.98
type: gnfs
# selected mechanically
rlim: 18500000
alim: 18500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 18500000/18500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [9250000, 16150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1878126 x 1878352
Total sieving time: 353.66 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.66 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,140,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,18500000,18500000,28,28,56,56,2.6,2.6,100000
total time: 354.53 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

10071714480979850156029802736160444038391147593223190969705742846371645395123458785213488300331252572838929817148661458116228061367102961973646142408210576502846960947682441028916089783<185>

149029258602721292533072795495284373800468620387460784945727893435801225680377465610153960936318695131572790185893492190618491957942836232979150233405921446505810741179165445746328429605011605624452981493125361<210>

968707298505099242045480392175621387363540603769236608770346477266777870100575633027822461987379027031312107306242613336089202032944733066231746966029186619024638388132681414297436078878838589217<195>

700962850523168087059578265730389178376657803956634559045106126573563084111557409033416551<90>
1381966673101289720702015968581805558318832947184325483367100176656381675978536863290941672072869453965367<106>

Number: 22522_111
N = 968707298505099242045480392175621387363540603769236608770346477266777870100575633027822461987379027031312107306242613336089202032944733066231746966029186619024638388132681414297436078878838589217 (195 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=700962850523168087059578265730389178376657803956634559045106126573563084111557409033416551 (pp90)
r2=1381966673101289720702015968581805558318832947184325483367100176656381675978536863290941672072869453965367 (pp106)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 31.38 hours.
Factorization parameters were as follows:
n: 968707298505099242045480392175621387363540603769236608770346477266777870100575633027822461987379027031312107306242613336089202032944733066231746966029186619024638388132681414297436078878838589217
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1000
c2: 135
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30925998
Relations: 8673452 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 10.92 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 7362955 x 7363180
Matrix solve time: 20.03 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 31.38 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

14976561680969283071992332000419343727067139926015785296011741624357879917928441988288328765482020637701996375674095041260427431070374863338874661155291968069970496173488490512348175105959173892857677734345748902966856869<221>

66094290114277027607584980733514431688246452388978116180543162876159128612879133371668021599614009345732622158771792939807929992927910957772358045988407061513955809357629594379341568681881572250973238421932729231521688841301<224>

438146767906300959366925022808060948146287<42>

150849658049769057857516268397391246575285999706993730073913548732922498021731401373667800983304001361164306791841070444929714940359714782785920439566068327501340809477209963219104123<183>

Input number is 66094290114277027607584980733514431688246452388978116180543162876159128612879133371668021599614009345732622158771792939807929992927910957772358045988407061513955809357629594379341568681881572250973238421932729231521688841301 (224 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3449983160
Step 1 took 0ms
Step 2 took 4364ms
********** Factor found in step 2: 438146767906300959366925022808060948146287
Found prime factor of 42 digits: 438146767906300959366925022808060948146287
Composite cofactor 150849658049769057857516268397391246575285999706993730073913548732922498021731401373667800983304001361164306791841070444929714940359714782785920439566068327501340809477209963219104123 has 183 digits

11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111261111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<233>

2741189496839358343008528465414048728126851423<46>

4053390370830774584977421576428907136995799080983204554163825934835979875938971706336254816407690464179250394920221346007675716028096876140906558534631101155693990718708583349916062460057<187>

Resuming ECM residue saved by @ea4118e3d594 with GMP-ECM 7.0.5-dev on Mon Aug  8 18:29:14 2022 
Input number is 11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111261111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (233 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2702690370
Step 1 took 0ms
Step 2 took 20148ms
********** Factor found in step 2: 2741189496839358343008528465414048728126851423
Found prime factor of 46 digits: 2741189496839358343008528465414048728126851423
Composite cofactor 4053390370830774584977421576428907136995799080983204554163825934835979875938971706336254816407690464179250394920221346007675716028096876140906558534631101155693990718708583349916062460057 has 187 digits

1854890568622561233469052348991853127918756453425452497310790737980926584091789751775325265209710172524302631114487184891146319718680717585380777520715336343058416156018779272602790179568226596060353829954272520396191379<220>

71679551217240181946896250769327288248385371<44>

25877541601801040683910216219938883152458715552453296072943598386988702803392455632529822674161652161556488807894538583769559451779259890144514287328825952856266273600584254249<176>

Resuming ECM residue saved by @ea4118e3d594 with GMP-ECM 7.0.5-dev on Mon Aug  8 18:39:58 2022 
Input number is 1854890568622561233469052348991853127918756453425452497310790737980926584091789751775325265209710172524302631114487184891146319718680717585380777520715336343058416156018779272602790179568226596060353829954272520396191379 (220 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1781034741
Step 1 took 0ms
Step 2 took 17971ms
********** Factor found in step 2: 71679551217240181946896250769327288248385371
Found prime factor of 44 digits: 71679551217240181946896250769327288248385371
Composite cofactor 25877541601801040683910216219938883152458715552453296072943598386988702803392455632529822674161652161556488807894538583769559451779259890144514287328825952856266273600584254249 has 176 digits

3180833132425001309989514632412061839259791360797622211604317383769538145868889181580443183280523957188113877663230598757616314840263541296912084609873523703769784958902881934265412677272380889294287457<202>

67745880741974046371661444073368998573381<41>
46952421277685422458729114164341975722309434340472513882647638910533929650000330596123181931444471098519531544886979601765692240628638584635939031530301146559597<161>

Resuming ECM residue saved by @99a95a4cac45 with GMP-ECM 7.0.5-dev on Thu Aug 18 12:21:04 2022 
Input number is 3180833132425001309989514632412061839259791360797622211604317383769538145868889181580443183280523957188113877663230598757616314840263541296912084609873523703769784958902881934265412677272380889294287457 (202 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:305820426
Step 1 took 0ms
Step 2 took 13921ms
********** Factor found in step 2: 67745880741974046371661444073368998573381
Found prime factor of 41 digits: 67745880741974046371661444073368998573381
Prime cofactor 46952421277685422458729114164341975722309434340472513882647638910533929650000330596123181931444471098519531544886979601765692240628638584635939031530301146559597 has 161 digits

5291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291006005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291005291<241>

64394854417226916966832231974093002888664433505041635340684225220541817172561547527782385080479814992955012673965168848351323506269014777366930321384472608204764232928971434054234394923416895353556437685833293<209>

758928085431092711659192257660625838291<39>
84849744861726668569393985995635895381713654911018445559655683832751550099411202086392286902486043223327624391021790063573285891226398213075346861890034773695981204758623<170>

Resuming ECM residue saved by @99a95a4cac45 with GMP-ECM 7.0.5-dev on Thu Aug 18 12:31:49 2022 
Input number is 64394854417226916966832231974093002888664433505041635340684225220541817172561547527782385080479814992955012673965168848351323506269014777366930321384472608204764232928971434054234394923416895353556437685833293 (209 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4255544915
Step 1 took 0ms
Step 2 took 13345ms
********** Factor found in step 2: 758928085431092711659192257660625838291
Found prime factor of 39 digits: 758928085431092711659192257660625838291
Prime cofactor 84849744861726668569393985995635895381713654911018445559655683832751550099411202086392286902486043223327624391021790063573285891226398213075346861890034773695981204758623 has 170 digits

9422549130403164220898461486460664245258106625835444547335854183707876787389374338148959803389391366579748267987771374279346612420636730773912507728504356807218337488955465040475648094071353476336855087393469472226524322591436046926378937275403<244>

17382946990373501076279363165209278949913352466868848875382509017272106734357710852565222230651690257025721706477959517515606323932204675391373991733043405743520438807037208643035925370654990287760996164571762414287150477<221>

20542082778810654672046365586882138685019892783613<50>
846211515041900672749358590651266183454038668582627951219509426258687587986519821563561026547978174791154518354025873972701033625515991106445635143897187126854252536798929<171>

Resuming ECM residue saved by @ea4118e3d594 with GMP-ECM 7.0.5-dev on Mon Aug  8 19:23:28 2022 
Input number is 17382946990373501076279363165209278949913352466868848875382509017272106734357710852565222230651690257025721706477959517515606323932204675391373991733043405743520438807037208643035925370654990287760996164571762414287150477 (221 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:69607439
Step 1 took 0ms
Step 2 took 18481ms
********** Factor found in step 2: 20542082778810654672046365586882138685019892783613
Found prime factor of 50 digits: 20542082778810654672046365586882138685019892783613
Prime cofactor 846211515041900672749358590651266183454038668582627951219509426258687587986519821563561026547978174791154518354025873972701033625515991106445635143897187126854252536798929 has 171 digits

2669548720648726630969080496504329648930546076531969083759467035410662619843729369156036553626727826504104220757514999265725541471334982575247243649761467301945294325111869919816933552299981146224065310586760802047013781787211549603626472442790969<247>

5722219187683986090767771455128291404568421941102097880299400043928037120855208315782705731750661113738142149390059544313543921527105479756474505327681819534870308306697328494071621488526632325200826265032629782264809711517335184847<232>

4485421234132953524338019454787335980203<40>
1275737302918018941231806128781651598546559242557152361695747973039748073649210531740705440726698551280530484124687035876295244990026880836470120154862223106749669773694866538682655374379498349<193>

Resuming ECM residue saved by @ea4118e3d594 with GMP-ECM 7.0.5-dev on Mon Aug  8 19:56:12 2022 
Input number is 5722219187683986090767771455128291404568421941102097880299400043928037120855208315782705731750661113738142149390059544313543921527105479756474505327681819534870308306697328494071621488526632325200826265032629782264809711517335184847 (232 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:672603445
Step 1 took 0ms
Step 2 took 20517ms
********** Factor found in step 2: 4485421234132953524338019454787335980203
Found prime factor of 40 digits: 4485421234132953524338019454787335980203
Prime cofactor 1275737302918018941231806128781651598546559242557152361695747973039748073649210531740705440726698551280530484124687035876295244990026880836470120154862223106749669773694866538682655374379498349 has 193 digits

210076213927550658488200711658372208360065032398486906481572045810560982294420268038657623608750437208523865998881083641316925084219654688657765970622933864672510546859154871939102093215096920269088817853674906470640690033912001679<231>

70356732123267217758514680096781367579951497224173975083398955905007434922398505921165209780848680014259983208129584356754855033463476463285668317173535680138412639931032841816572473290785733481872567606850141210369537270123287234013812264328521157693<251>

1290697835695118029981157006854353756682129<43>

54510614473430109079466766491992390965733065330208198242108360632147136139076585507716768590702160172972090178347277247492671444375062565169853313329293648906130843093774544655443209949664191640778397766593517<209>

Resuming ECM residue saved by @5a1d021a3fc2 with GMP-ECM 7.0.5-dev on Tue Aug 30 10:40:14 2022 
Input number is 70356732123267217758514680096781367579951497224173975083398955905007434922398505921165209780848680014259983208129584356754855033463476463285668317173535680138412639931032841816572473290785733481872567606850141210369537270123287234013812264328521157693 (251 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2723131430
Step 1 took 0ms
Step 2 took 18580ms
********** Factor found in step 2: 1290697835695118029981157006854353756682129
Found prime factor of 43 digits: 1290697835695118029981157006854353756682129
Composite cofactor 54510614473430109079466766491992390965733065330208198242108360632147136139076585507716768590702160172972090178347277247492671444375062565169853313329293648906130843093774544655443209949664191640778397766593517 has 209 digits

2389697143355343616779214424190324530993836226132558190835691647810573423738610899115195471979457880889407886019756884517232550639016645349695677801537383123731957203445636665769045296163590622051996496808690961776689472602102286432403<235>

74571215510812826249067859806114839671886651752423564504101416853094705443698732289336316181953765846383296047725577926920208799403431282624906785980611483967188665175242356450410141685309470544369873228933631618195376584638329604772557792692020879940343027591349739<266>

889678803448710332139403399596613314950778739649347939078242377757115942218559148022770894933460369530099791484112913580874509539349666169123917821365905275016427079370905929732420696792152861755236715825211794042324008998528141<228>

56763775815103302500128060594227628713234269384901383025626493085257152829722667408549094901383165404715835735323834693058964627708826676892745599688987614820497888042341968490557370502771678758892353846180376526129258533729517306116774372361332568417276631<257>

15674531634525244885600178631934929313<38>

3621401719594193251810149645665641406784618008178420265150080973542329546151185944602431712649454553445335855653508093315546349978423063943156585543452686252591386235408598177794256408948170528471178857946181731733952887<220>

Resuming ECM residue saved by @6c627acaf82c with GMP-ECM 7.0.5-dev on Wed Aug  3 04:04:35 2022 
Input number is 56763775815103302500128060594227628713234269384901383025626493085257152829722667408549094901383165404715835735323834693058964627708826676892745599688987614820497888042341968490557370502771678758892353846180376526129258533729517306116774372361332568417276631 (257 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1035968822
Step 1 took 0ms
Step 2 took 18357ms
********** Factor found in step 2: 15674531634525244885600178631934929313
Found prime factor of 38 digits: 15674531634525244885600178631934929313
Composite cofactor 3621401719594193251810149645665641406784618008178420265150080973542329546151185944602431712649454553445335855653508093315546349978423063943156585543452686252591386235408598177794256408948170528471178857946181731733952887 has 220 digits

33545050975076229706440077769950868360692404171081338273676077813064854226564698286053053317103570483607098602444946802615008070018903556723176969320480595794258127831891229498997499142498190742989864280860300072793773959<221>

3503739222699651483427275208015833857218342043247326572085808961335030522907181206297359396368266238267917469339371079284166357836507762826914781422875002785118074190549865097773184862824545170175811817129925010892005375814992090956374511807513636844007<253>

430716930873557223381674640516753033426899568447610831051623823783547837572786311059000516591122414982778451908132222331038646868322201117291774193846618763968665708324255131844984676358730472611048134916215897338260070260559556046215639849639111<246>

100122586363838283406049866966562694774107376095750791432305746723066952017151239385935979150028140238086994274179219924702309322755254437155244414173603742251094513678100214850726582544843433316519602622158593021863067134198556982327<234>

592799164316659945970945763737316787544276940371693512178108392093302287937798482239141655912835677191376108764406180968358426701578342866594504817197254374768568754839315748929588592334793988661235897537836896551104835240408243975815271806597666926621521071261330311<267>

48311506070745606475420518564938849655095055187174983858734501842515045565606357341805448335319644821062370794424894811311138512962259364475985357553701402331898583733903594002460466970202088017566452076831130493354791165476123<227>

21733086459488418777922428313264003553290989366676268547556978565094659011448061627627583799647724558857929696486801356638825987411951543103137808085628747651414797503380877366410001061834529986742822156236177762451765876691960190107671695524109047911<251>

4254230054953537941461972656274939459151041488131769595974499638311552201835145310929137929715637434281233696696393339059368010212881684574462418811762245489462063263964988747438528670105912139628040834356003930278805029939574940488298526174084060838026047517973118969851<271>

558206274090688921385276996217273827282632001715671684867143769501460230976636778351882556035703761671155683818632696944508371519302465030909245244135752297405126264658060057979794779613249364834731092129987296323293<216>