3992387753602307608887390770877162435235983607036510459650329331796678257887746224264944276027<94>

293518137609425485186794255528520362629<39>
13601843436724312450330330442117290984274996645506057663<56>

N=3992387753602307608887390770877162435235983607036510459650329331796678257887746224264944276027
  ( 94 digits)
SNFS difficulty: 110 digits.
Divisors found:
p39 factor: 293518137609425485186794255528520362629
p56 factor: 13601843436724312450330330442117290984274996645506057663
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.14 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3992387753602307608887390770877162435235983607036510459650329331796678257887746224264944276027
m: 1000000000000000000000000000
deg: 4
c4: 205
c0: -16
skew: 0.53
# Murphy_E = 1.298e-07
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 43967 x 44196
Total sieving time: 0.13 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,4,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,20000
total time: 0.14 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

1289439249452106742318870016448396096770406041669934062506548632052066456591001131561592236993527<97>

3499109177629937774121457765658944859<37>
368505006272907019647046908158509955436299209617095665724053<60>

N=1289439249452106742318870016448396096770406041669934062506548632052066456591001131561592236993527
  ( 97 digits)
SNFS difficulty: 111 digits.
Divisors found:
p37 factor: 3499109177629937774121457765658944859
p60 factor: 368505006272907019647046908158509955436299209617095665724053
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.16 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1289439249452106742318870016448396096770406041669934062506548632052066456591001131561592236993527
m: 1000000000000000000000000000
deg: 4
c4: 1025
c0: -8
skew: 0.30
# Murphy_E = 1.247e-07
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 44348 x 44573
Total sieving time: 0.16 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,4,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.16 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

4749111759025754115461864891587154490866750534835439402871908775229982949489869682281551044422339<97>

2774708552546517684310132208797739439191674109<46>
1711571384557562745365401865564124767146781972513471<52>

N=4749111759025754115461864891587154490866750534835439402871908775229982949489869682281551044422339
  ( 97 digits)
SNFS difficulty: 113 digits.
Divisors found:
p46 factor: 2774708552546517684310132208797739439191674109
p52 factor: 1711571384557562745365401865564124767146781972513471
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.20 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4749111759025754115461864891587154490866750534835439402871908775229982949489869682281551044422339
m: 10000000000000000000000000000
deg: 4
c4: 41
c0: -32
skew: 0.94
# Murphy_E = 9.737e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 475001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54624 x 54849
Total sieving time: 0.19 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 0.20 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

50766536430385328831898664347659253725857466759018102197896215352896527334689<77>

38865592768652133006874464053732519191<38>
1306207697193085241939350941035286444679<40>

Wed Jun 29 16:50:31 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 16:50:31 2022  random seeds: 0a280ca0 27955394
Wed Jun 29 16:50:31 2022  factoring 50766536430385328831898664347659253725857466759018102197896215352896527334689 (77 digits)
Wed Jun 29 16:50:31 2022  searching for 15-digit factors
Wed Jun 29 16:50:31 2022  commencing quadratic sieve (77-digit input)
Wed Jun 29 16:50:31 2022  using multiplier of 1
Wed Jun 29 16:50:31 2022  using generic 32kb sieve core
Wed Jun 29 16:50:31 2022  sieve interval: 12 blocks of size 32768
Wed Jun 29 16:50:31 2022  processing polynomials in batches of 17
Wed Jun 29 16:50:31 2022  using a sieve bound of 883979 (35118 primes)
Wed Jun 29 16:50:31 2022  using large prime bound of 88397900 (26 bits)
Wed Jun 29 16:50:31 2022  using trial factoring cutoff of 26 bits
Wed Jun 29 16:50:31 2022  polynomial 'A' values have 10 factors
Wed Jun 29 16:52:55 2022  35426 relations (18272 full + 17154 combined from 187782 partial), need 35214
Wed Jun 29 16:52:56 2022  begin with 206054 relations
Wed Jun 29 16:52:56 2022  reduce to 50415 relations in 2 passes
Wed Jun 29 16:52:56 2022  attempting to read 50415 relations
Wed Jun 29 16:52:56 2022  recovered 50415 relations
Wed Jun 29 16:52:56 2022  recovered 39363 polynomials
Wed Jun 29 16:52:56 2022  attempting to build 35426 cycles
Wed Jun 29 16:52:56 2022  found 35426 cycles in 1 passes
Wed Jun 29 16:52:56 2022  distribution of cycle lengths:
Wed Jun 29 16:52:56 2022     length 1 : 18272
Wed Jun 29 16:52:56 2022     length 2 : 17154
Wed Jun 29 16:52:56 2022  largest cycle: 2 relations
Wed Jun 29 16:52:56 2022  matrix is 35118 x 35426 (5.1 MB) with weight 1051497 (29.68/col)
Wed Jun 29 16:52:56 2022  sparse part has weight 1051497 (29.68/col)
Wed Jun 29 16:52:56 2022  filtering completed in 3 passes
Wed Jun 29 16:52:56 2022  matrix is 24802 x 24866 (3.9 MB) with weight 824178 (33.14/col)
Wed Jun 29 16:52:56 2022  sparse part has weight 824178 (33.14/col)
Wed Jun 29 16:52:56 2022  saving the first 48 matrix rows for later
Wed Jun 29 16:52:56 2022  matrix includes 64 packed rows
Wed Jun 29 16:52:56 2022  matrix is 24754 x 24866 (2.7 MB) with weight 621337 (24.99/col)
Wed Jun 29 16:52:56 2022  sparse part has weight 449807 (18.09/col)
Wed Jun 29 16:52:56 2022  commencing Lanczos iteration
Wed Jun 29 16:52:56 2022  memory use: 2.7 MB
Wed Jun 29 16:53:02 2022  lanczos halted after 393 iterations (dim = 24754)
Wed Jun 29 16:53:02 2022  recovered 17 nontrivial dependencies
Wed Jun 29 16:53:02 2022  p38 factor: 38865592768652133006874464053732519191
Wed Jun 29 16:53:02 2022  p40 factor: 1306207697193085241939350941035286444679
Wed Jun 29 16:53:02 2022  elapsed time 00:02:31

Msieve v. 1.53

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)

23548236277944166271327468732022028163537719445046446112973148672699414915879673440930923<89>

1736488494295918545020965916224048256234173<43>
13560836340290351104532747797746708178527879751<47>

prp43 = 1736488494295918545020965916224048256234173
prp47 = 13560836340290351104532747797746708178527879751

Yafu

61566612515227468409793153323272352958272404811177491889932378541504736667272775875834424903359217996683323<107>

3128875967826266122718693998207710647<37>
19676910541775114037097282399909338032618749458823898707991594948612509<71>

N=61566612515227468409793153323272352958272404811177491889932378541504736667272775875834424903359217996683323
  ( 107 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=3128875967826266122718693998207710647 (pp37)
 r2=19676910541775114037097282399909338032618749458823898707991594948612509 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.40 hours.
Scaled time: 10.76 units (timescale=7.698).
Factorization parameters were as follows:
n: 61566612515227468409793153323272352958272404811177491889932378541504736667272775875834424903359217996683323
m: 10000000000000000000000000000000
deg: 4
c4: 1025
c0: -8
skew: 0.30
# Murphy_E = 2.2e-08
type: snfs
lss: 1
rlim: 920000
alim: 920000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 920000/920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [460000, 760001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 116451 x 116677
Total sieving time: 1.38 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,920000,920000,26,26,46,46,2.3,2.3,75000
total time: 1.40 hours.

GNFS, Msieve

643292637255579999728100816589689053912560285457696432649224784668863920529027760966953826770103005445072894423<111>

234666485381913970328466880410692430546297583<45>
2741305969655773183681243303603435770203859083423494437391590979481<67>

N=643292637255579999728100816589689053912560285457696432649224784668863920529027760966953826770103005445072894423
  ( 111 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=234666485381913970328466880410692430546297583 (pp45)
 r2=2741305969655773183681243303603435770203859083423494437391590979481 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.59 hours.
Scaled time: 12.19 units (timescale=7.675).
Factorization parameters were as follows:
n: 643292637255579999728100816589689053912560285457696432649224784668863920529027760966953826770103005445072894423
m: 50000000000000000000000000000000
deg: 4
c4: 41
c0: -20
skew: 0.84
# Murphy_E = 1.546e-08
type: snfs
lss: 1
rlim: 970000
alim: 970000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 970000/970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [485000, 860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 150292 x 150527
Total sieving time: 1.57 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,970000,970000,26,26,47,47,2.3,2.3,75000
total time: 1.59 hours.

GNFS, Msieve

36502849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849<128>

2203910994328309015389113428327227859<37>
16562760064625050552318116872366164375972834828797269576577236750955062713710004246444959611<92>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 36502849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849002849 (128 digits)
Using B1=17270000, B2=58559766730, polynomial Dickson(12), sigma=1:2568585069
Step 1 took 26416ms
Step 2 took 12689ms
********** Factor found in step 2: 2203910994328309015389113428327227859
Found prime factor of 37 digits: 2203910994328309015389113428327227859
Prime cofactor 16562760064625050552318116872366164375972834828797269576577236750955062713710004246444959611 has 92 digits

66411094659028162557149580027483893944591763094160014392342686607085254536927253983164152607433755735873863667507884996063<122>

30290457676902197315528192711508258108796317315637<50>
2192475774628837496569454211642933920948193974737440251447706642298604099<73>

66411094659028162557149580027483893944591763094160014392342686607085254536927253983164152607433755735873863667507884996063=30290457676902197315528192711508258108796317315637*2192475774628837496569454211642933920948193974737440251447706642298604099

cado polynomial
n: 66411094659028162557149580027483893944591763094160014392342686607085254536927253983164152607433755735873863667507884996063
skew: 0.94
type: snfs
c0: -32
c4: 41
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^4-32
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1380000
tasks.lim1 = 1380000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2192475774628837496569454211642933920948193974737440251447706642298604099 30290457676902197315528192711508258108796317315637
Info:Square Root: Total cpu/real time for sqrt: 18.4/5.94472
Info:Quadratic Characters: Total cpu/real time for characters: 4.05/1.57866
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.11/48.5973
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.2s
Info:Square Root: Total cpu/real time for sqrt: 18.4/5.94472
Info:Linear Algebra: Total cpu/real time for bwc: 250.26/66.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 145.98, WCT time 37.96, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4032 iterations)
Info:Linear Algebra: Lingen CPU time 15.75, WCT time 4.06
Info:Linear Algebra: Mksol: CPU time 80.7,  WCT time 21.36, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2048 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.35/40.8656
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6129483
Info:Lattice Sieving: Average J: 1895.36 for 66725 special-q, max bucket fill -bkmult 1.0,1s:1.359950
Info:Lattice Sieving: Total time: 6392.79s
Info:Generate Free Relations: Total cpu/real time for freerel: 35.87/11.2362
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.58/23.0682
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.0s
Info:Filtering - Merging: Merged matrix has 128387 rows and total weight 21871072 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 26/7.30466
Info:Filtering - Merging: Total cpu/real time for replay: 3.96/3.28453
Info:Generate Factor Base: Total cpu/real time for makefb: 0.7/0.39628
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11936/3517.26
Info:root: Cleaning up computation data in /tmp/cado.t3my54jx
2192475774628837496569454211642933920948193974737440251447706642298604099 30290457676902197315528192711508258108796317315637

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)

8708938227376193471207921389064617213160928244449804164593939587238984794986657036646266847790872371049382445611013<115>

7665398756803376360153313166076818499<37>
1136136358157053503604303135988050507606540468243982264226350809880311327998487<79>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8708938227376193471207921389064617213160928244449804164593939587238984794986657036646266847790872371049382445611013 (115 digits)
Using B1=18290000, B2=58560741340, polynomial Dickson(12), sigma=1:4071460562
Step 1 took 23258ms
Step 2 took 10772ms
********** Factor found in step 2: 7665398756803376360153313166076818499
Found prime factor of 37 digits: 7665398756803376360153313166076818499
Prime cofactor 1136136358157053503604303135988050507606540468243982264226350809880311327998487 has 79 digits

12697609528853412109642526810864854972947828050108875569360652061628590860530288763441884987322109113781203274579<113>

376619874993567449624668231776178419594615508306453747<54>
33714656001811596726702650649031816230797510263106346113057<59>

12697609528853412109642526810864854972947828050108875569360652061628590860530288763441884987322109113781203274579=376619874993567449624668231776178419594615508306453747*33714656001811596726702650649031816230797510263106346113057

cado polynomial
n: 12697609528853412109642526810864854972947828050108875569360652061628590860530288763441884987322109113781203274579
skew: 0.30
type: snfs
c0: -8
c4: 1025
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 1025*x^4-8
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1690000
tasks.lim1 = 1690000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 376619874993567449624668231776178419594615508306453747 33714656001811596726702650649031816230797510263106346113057
Info:Square Root: Total cpu/real time for sqrt: 27.63/12.0571
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6066650
Info:Lattice Sieving: Average J: 1895 for 117165 special-q, max bucket fill -bkmult 1.0,1s:1.329770
Info:Lattice Sieving: Total time: 20254.8s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.41/11.2696
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.8/40.7498
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.12/77.1291
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.6s
Info:Filtering - Merging: Merged matrix has 175124 rows and total weight 29813718 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 39.92/32.1807
Info:Filtering - Merging: Total cpu/real time for replay: 5.86/6.51715
Info:Linear Algebra: Total cpu/real time for bwc: 563.02/481.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 252.71, WCT time 260.9, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5504 iterations)
Info:Linear Algebra: Lingen CPU time 154.19, WCT time 121.58
Info:Linear Algebra: Mksol: CPU time 140.67,  WCT time 83.86, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (2816 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 0.84/0.480722
Info:Quadratic Characters: Total cpu/real time for characters: 5.54/3.0323
Info:Square Root: Total cpu/real time for sqrt: 27.63/12.0571
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.04/63.5408
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19713.1/11063.5
Info:root: Cleaning up computation data in /tmp/cado.ikjxm3et
376619874993567449624668231776178419594615508306453747 33714656001811596726702650649031816230797510263106346113057

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)

7148454977867577172458195313542882009711234946405033959744904512869808713732237068588510739798551255856301545520323453<118>

147221877714379258725691642334634464719607659<45>
48555656868716753364347360244940877342688960021519809009528482353883011767<74>

7148454977867577172458195313542882009711234946405033959744904512869808713732237068588510739798551255856301545520323453=147221877714379258725691642334634464719607659*48555656868716753364347360244940877342688960021519809009528482353883011767

cado polynomial
n: 7148454977867577172458195313542882009711234946405033959744904512869808713732237068588510739798551255856301545520323453
skew: 0.84
type: snfs
c0: -20
c4: 41
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^4-20
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1790000
tasks.lim1 = 1790000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 48555656868716753364347360244940877342688960021519809009528482353883011767 147221877714379258725691642334634464719607659
Info:Square Root: Total cpu/real time for sqrt: 94.8/73.157
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.4/53.6757
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6078767
Info:Lattice Sieving: Average J: 1895.53 for 137851 special-q, max bucket fill -bkmult 1.0,1s:1.313750
Info:Lattice Sieving: Total time: 22065.5s
Info:Linear Algebra: Total cpu/real time for bwc: 944.8/902.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 463.15, WCT time 449.14, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 209.32, WCT time 184.1
Info:Linear Algebra: Mksol: CPU time 251.19,  WCT time 249.54, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3712 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.28/40.4211
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.86/26.2935
Info:Filtering - Merging: Merged matrix has 233319 rows and total weight 39669460 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.84/39.9206
Info:Filtering - Merging: Total cpu/real time for replay: 8.15/9.02876
Info:Generate Factor Base: Total cpu/real time for makefb: 0.93/1.12415
Info:Quadratic Characters: Total cpu/real time for characters: 7.65/6.34718
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.36/75.5455
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 70.1s
Info:Square Root: Total cpu/real time for sqrt: 94.8/73.157
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22584.5/12432.9
Info:root: Cleaning up computation data in /tmp/cado.9lrq2syf
48555656868716753364347360244940877342688960021519809009528482353883011767 147221877714379258725691642334634464719607659

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)

497755544688055701525967221156829905497513865243534643906717858376278146195759980985323880499449549018479<105>

3721291415016297072397585731643961218530483451649<49>
133758818962549812662150508751605202099453489152764738671<57>

497755544688055701525967221156829905497513865243534643906717858376278146195759980985323880499449549018479=3721291415016297072397585731643961218530483451649*133758818962549812662150508751605202099453489152764738671

cado polynomial
n: 497755544688055701525967221156829905497513865243534643906717858376278146195759980985323880499449549018479
skew: 0.94
type: snfs
c0: -32
c4: 41
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^4-32
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1870000
tasks.lim1 = 1870000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 133758818962549812662150508751605202099453489152764738671 3721291415016297072397585731643961218530483451649
Info:Square Root: Total cpu/real time for sqrt: 34.57/27.3835
Info:Quadratic Characters: Total cpu/real time for characters: 7.26/6.26342
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.39/76.8819
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.19999999999999s
Info:Square Root: Total cpu/real time for sqrt: 34.57/27.3835
Info:Linear Algebra: Total cpu/real time for bwc: 828.56/800.17
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 392.73, WCT time 388.15, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7040 iterations)
Info:Linear Algebra: Lingen CPU time 201.94, WCT time 177.7
Info:Linear Algebra: Mksol: CPU time 214.37,  WCT time 215.83, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3456 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 36.75/54.5334
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6050923
Info:Lattice Sieving: Average J: 1896.64 for 124182 special-q, max bucket fill -bkmult 1.0,1s:1.312940
Info:Lattice Sieving: Total time: 15699.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.16/11.3203
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.38/41.5563
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.3s
Info:Filtering - Merging: Merged matrix has 220998 rows and total weight 37640647 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 48.66/39.0761
Info:Filtering - Merging: Total cpu/real time for replay: 7.64/8.44818
Info:Generate Factor Base: Total cpu/real time for makefb: 0.95/0.512458
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 20989.7/9073.86
Info:root: Cleaning up computation data in /tmp/cado.28brc8zs
133758818962549812662150508751605202099453489152764738671 3721291415016297072397585731643961218530483451649

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)

18546627343640391784396073250115097607423041921092559222117521492532957746714116824985886251205976281401585536836157461<119>

54244577075828477400523804368227067807546617<44>
341907492756632007598290364096599371833495578599064953615251876771694702333<75>

18546627343640391784396073250115097607423041921092559222117521492532957746714116824985886251205976281401585536836157461=54244577075828477400523804368227067807546617*341907492756632007598290364096599371833495578599064953615251876771694702333

cado polynomial
n: 18546627343640391784396073250115097607423041921092559222117521492532957746714116824985886251205976281401585536836157461
skew: 0.38
type: snfs
c0: -8
c5: 1025
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 1025*x^5-8
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2100000
tasks.lim1 = 2100000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 54244577075828477400523804368227067807546617 341907492756632007598290364096599371833495578599064953615251876771694702333
Info:Square Root: Total cpu/real time for sqrt: 106.38/32.48
Info:Filtering - Singleton removal: Total cpu/real time for purge: 41.42/49.0157
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6072208
Info:Lattice Sieving: Average J: 1893.32 for 95520 special-q, max bucket fill -bkmult 1.0,1s:1.207900
Info:Lattice Sieving: Total time: 18481.9s
Info:Linear Algebra: Total cpu/real time for bwc: 650.01/205.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 383.26, WCT time 128.65, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Linear Algebra: Lingen CPU time 29.43, WCT time 7.51
Info:Linear Algebra: Mksol: CPU time 216.95,  WCT time 56.76, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 30.53/22.1425
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.33/29.6194
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.5s
Info:Filtering - Merging: Merged matrix has 220451 rows and total weight 37484653 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.34/19.6339
Info:Filtering - Merging: Total cpu/real time for replay: 8.38/8.19433
Info:Generate Factor Base: Total cpu/real time for makefb: 0.94/1.22723
Info:Quadratic Characters: Total cpu/real time for characters: 7.04/2.74565
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.72/60.9038
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 50.5s
Info:Square Root: Total cpu/real time for sqrt: 106.38/32.48
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 18399/9851.23
Info:root: Cleaning up computation data in /tmp/cado.unw78fzh
54244577075828477400523804368227067807546617 341907492756632007598290364096599371833495578599064953615251876771694702333

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)

39096131261576351603868358800659046268276998145941339747000435321245650174872249836246747618896311332819748123465553100198354606767423<134>

43085075551293731058232268045159495659<38>
907417029245580561837136965146668861756507458611286647458936090942682163991077781238131735801597<96>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 39096131261576351603868358800659046268276998145941339747000435321245650174872249836246747618896311332819748123465553100198354606767423 (134 digits)
Using B1=16580000, B2=58559116990, polynomial Dickson(12), sigma=1:925986045
Step 1 took 25183ms
Step 2 took 320ms
********** Factor found in step 2: 43085075551293731058232268045159495659
Found prime factor of 38 digits: 43085075551293731058232268045159495659
Prime cofactor 907417029245580561837136965146668861756507458611286647458936090942682163991077781238131735801597 has 96 digits

285575464512832257677133111990355286641984007587529308884050992165988943672874073015235511399767345946708462967<111>

3145976417637499080930418738863319309444398090163<49>
90774826826988064164916561743360827755764271754151639159390509<62>

285575464512832257677133111990355286641984007587529308884050992165988943672874073015235511399767345946708462967=3145976417637499080930418738863319309444398090163*90774826826988064164916561743360827755764271754151639159390509

cado polynomial
n: 285575464512832257677133111990355286641984007587529308884050992165988943672874073015235511399767345946708462967
skew: 0.75
type: snfs
c0: -10
c5: 41
Y0: 500000000000000000000000000000
Y1: -1
# f(x) = 41*x^5-10
# g(x) = -x+500000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
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: 3145976417637499080930418738863319309444398090163 90774826826988064164916561743360827755764271754151639159390509
Info:Square Root: Total cpu/real time for sqrt: 34.36/28.4955
Info:Quadratic Characters: Total cpu/real time for characters: 6.85/5.90948
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.01/150.427
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 140.9s
Info:Square Root: Total cpu/real time for sqrt: 34.36/28.4955
Info:Linear Algebra: Total cpu/real time for bwc: 816.96/802.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 357.81, WCT time 362.69, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6784 iterations)
Info:Linear Algebra: Lingen CPU time 243.7, WCT time 218.56
Info:Linear Algebra: Mksol: CPU time 196.38,  WCT time 202.8, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3456 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 108.42/152.726
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11631291
Info:Lattice Sieving: Average J: 1893.05 for 161841 special-q, max bucket fill -bkmult 1.0,1s:1.165020
Info:Lattice Sieving: Total time: 29873.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.08/17.42
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.29/77.6922
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.4s
Info:Filtering - Merging: Merged matrix has 214284 rows and total weight 36477835 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.47/37.7864
Info:Filtering - Merging: Total cpu/real time for replay: 7.11/7.85239
Info:Generate Factor Base: Total cpu/real time for makefb: 0.96/0.530767
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 56473.7/9154.14
Info:root: Cleaning up computation data in /tmp/cado.0r7pj59w
3145976417637499080930418738863319309444398090163 90774826826988064164916561743360827755764271754151639159390509

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)

785538755533686727404252365576165908973583261555530305511649196256164749714736206809041134039501080383044093396781<114>

6017689984345794739822218792999342951500721228687943<52>
130538255971503912745223262628915022188208307482668049168812267<63>

785538755533686727404252365576165908973583261555530305511649196256164749714736206809041134039501080383044093396781=6017689984345794739822218792999342951500721228687943*130538255971503912745223262628915022188208307482668049168812267

cado polynomial
n: 785538755533686727404252365576165908973583261555530305511649196256164749714736206809041134039501080383044093396781
skew: 0.75
type: snfs
c0: -10
c5: 41
Y0: 5000000000000000000000000000000
Y1: -1
# f(x) = 41*x^5-10
# g(x) = -x+5000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2700000
tasks.lim1 = 2700000
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: 130538255971503912745223262628915022188208307482668049168812267 6017689984345794739822218792999342951500721228687943
Info:Square Root: Total cpu/real time for sqrt: 47.51/14.861
Info:Filtering - Singleton removal: Total cpu/real time for purge: 91.31/79.4697
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11658604
Info:Lattice Sieving: Average J: 1895.93 for 186230 special-q, max bucket fill -bkmult 1.0,1s:1.237270
Info:Lattice Sieving: Total time: 22649.7s
Info:Linear Algebra: Total cpu/real time for bwc: 1073.02/277.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 647.96, WCT time 165.58, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8832 iterations)
Info:Linear Algebra: Lingen CPU time 43.58, WCT time 11.1
Info:Linear Algebra: Mksol: CPU time 357.19,  WCT time 91.29, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.7/46.083
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 46.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.97/86.4212
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 75.6s
Info:Filtering - Merging: Merged matrix has 281429 rows and total weight 47976907 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.21/15.9752
Info:Filtering - Merging: Total cpu/real time for replay: 8.73/7.26883
Info:Generate Factor Base: Total cpu/real time for makefb: 1.18/0.654863
Info:Quadratic Characters: Total cpu/real time for characters: 8.84/3.47181
Info:Square Root: Total cpu/real time for sqrt: 47.51/14.861
Info:Generate Free Relations: Total cpu/real time for freerel: 59.84/16.8935
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 42827.9/12034.3
Info:root: Cleaning up computation data in /tmp/cado.oc072y7s
130538255971503912745223262628915022188208307482668049168812267 6017689984345794739822218792999342951500721228687943

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)

37034944399726957671053348213184857711544701869729146980652274412971695937110002300228695199224820466518093870261205358206828410029<131>

4353793285740659188866500871822427968837124944256138166165757199<64>
8506362605919321234643506769053195503924703239983571076720117271171<67>

37034944399726957671053348213184857711544701869729146980652274412971695937110002300228695199224820466518093870261205358206828410029=4353793285740659188866500871822427968837124944256138166165757199*8506362605919321234643506769053195503924703239983571076720117271171

cado polynomial
n: 37034944399726957671053348213184857711544701869729146980652274412971695937110002300228695199224820466518093870261205358206828410029
skew: 0.95
type: snfs
c0: -32
c5: 41
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 41*x^5-32
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2900000
tasks.lim1 = 2900000
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: 8506362605919321234643506769053195503924703239983571076720117271171 4353793285740659188866500871822427968837124944256138166165757199
Info:Square Root: Total cpu/real time for sqrt: 44.31/14.3306
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.09/81.4415
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11641034
Info:Lattice Sieving: Average J: 1894.5 for 162015 special-q, max bucket fill -bkmult 1.0,1s:1.229720
Info:Lattice Sieving: Total time: 20997.9s
Info:Linear Algebra: Total cpu/real time for bwc: 939.52/244.26
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 565.15, WCT time 145.07, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations)
Info:Linear Algebra: Lingen CPU time 42.19, WCT time 10.71
Info:Linear Algebra: Mksol: CPU time 309.76,  WCT time 79.41, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.14/17.8939
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.97/48.2976
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.78/85.5543
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.3s
Info:Filtering - Merging: Merged matrix has 267163 rows and total weight 45557902 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 53.47/14.9279
Info:Filtering - Merging: Total cpu/real time for replay: 8.22/6.85466
Info:Generate Factor Base: Total cpu/real time for makefb: 1.27/0.692016
Info:Quadratic Characters: Total cpu/real time for characters: 8.46/3.30519
Info:Square Root: Total cpu/real time for sqrt: 44.31/14.3306
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 39717.8/11159.2
Info:root: Cleaning up computation data in /tmp/cado.00h9qjdb
8506362605919321234643506769053195503924703239983571076720117271171 4353793285740659188866500871822427968837124944256138166165757199

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)

59071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071<155>

72164062108020465307241348032666432956120278056957<50>
818565345900569528213724212436102839986770864943997717190438021531957601446292263419765241868859839777603<105>

Number: n
N=59071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071  ( 155 digits)
SNFS difficulty: 158 digits.
Divisors found:

Fri Jul  1 03:43:08 2022  p50 factor: 72164062108020465307241348032666432956120278056957
Fri Jul  1 03:43:08 2022  p105 factor: 818565345900569528213724212436102839986770864943997717190438021531957601446292263419765241868859839777603
Fri Jul  1 03:43:08 2022  elapsed time 00:07:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 41x10^158-32 = 45(157)2
#
n: 59071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071000461041954817888427846934071
m: 10000000000000000000000000000000
deg: 5
c5: 5125
c0: -4
skew: 0.24
# Murphy_E = 5.629e-10
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 1380414 hash collisions in 13567081 relations (13023497 unique)
Msieve: matrix is 466500 x 466727 (155.6 MB)

Sieving start time : 2022/07/01 02:45:23
Sieving end time  : 2022/07/01 03:35:31

Total sieving time: 0hrs 50min 8secs.

Total relation processing time: 0hrs 3min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

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) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

2780000499598264755351781341928627447416150485773822171900540732185338474504114594848557205234936515815636045657357951962786893325933674293479<142>

10328144997789050083484158042818021379<38>
962781894334683611513903725284222011621<39>
279572617811840338742060287455277213560178432797954675917429156681<66>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2780000499598264755351781341928627447416150485773822171900540732185338474504114594848557205234936515815636045657357951962786893325933674293479 (142 digits)
Using B1=16330000, B2=58558792120, polynomial Dickson(12), sigma=1:2000044035
Step 1 took 31834ms
Step 2 took 13993ms
********** Factor found in step 2: 10328144997789050083484158042818021379
Found prime factor of 38 digits: 10328144997789050083484158042818021379
Composite cofactor 269167454580990150369345433924998961565178125594685372397871544420344475453350332576609375331631411789901 has 105 digits


GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 269167454580990150369345433924998961565178125594685372397871544420344475453350332576609375331631411789901 (105 digits)
Using B1=17680000, B2=58560416470, polynomial Dickson(12), sigma=1:1266995160
Step 1 took 22179ms
Step 2 took 10534ms
********** Factor found in step 2: 962781894334683611513903725284222011621
Found prime factor of 39 digits: 962781894334683611513903725284222011621
Prime cofactor 279572617811840338742060287455277213560178432797954675917429156681 has 66 digits

24256030351766218878771704233654097280999004512471094308126739063936945942348078017411959582482840056478902689891646711291871066396081<134>

226663684899088088300676778679234582773835563499<48>
107013306355471703375720240551183080771531926766959838623044174927933534324422619710419<87>

Number: n
N=24256030351766218878771704233654097280999004512471094308126739063936945942348078017411959582482840056478902689891646711291871066396081  ( 134 digits)
SNFS difficulty: 163 digits.
Divisors found:

Mon Jul  4 07:07:58 2022  p48 factor: 226663684899088088300676778679234582773835563499
Mon Jul  4 07:07:58 2022  p87 factor: 107013306355471703375720240551183080771531926766959838623044174927933534324422619710419
Mon Jul  4 07:07:58 2022  elapsed time 00:09:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 41x10^163-32 = 45(162)2
#
n: 24256030351766218878771704233654097280999004512471094308126739063936945942348078017411959582482840056478902689891646711291871066396081
m: 100000000000000000000000000000000
deg: 5
c5: 5125
c0: -4
skew: 0.24
# Murphy_E = 3.601e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 36250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 919309 hash collisions in 11972880 relations (11843889 unique)
Msieve: matrix is 637930 x 638155 (218.7 MB)

Sieving start time : 2022/07/04 03:29:44
Sieving end time  : 2022/07/04 06:57:32

Total sieving time: 3hrs 27min 48secs.

Total relation processing time: 0hrs 6min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 43sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

1195744833866689191932859998499124416137046198270106966176552674316801798198645055215506723249732174155659724645792848912999584408092121619228051026820736277<157>

2463996360237064225854191021401551328317776891916091389613<58>
485286769559856435660429076325838970666494557914800605077477282643930965686710556014365318386187529<99>

Number: n
N=1195744833866689191932859998499124416137046198270106966176552674316801798198645055215506723249732174155659724645792848912999584408092121619228051026820736277  ( 157 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sat Jul  2 17:42:49 2022  p58 factor: 2463996360237064225854191021401551328317776891916091389613
Sat Jul  2 17:42:49 2022  p99 factor: 485286769559856435660429076325838970666494557914800605077477282643930965686710556014365318386187529
Sat Jul  2 17:42:49 2022  elapsed time 00:09:17 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 41x10^164-32 = 45(163)2
#
n: 1195744833866689191932859998499124416137046198270106966176552674316801798198645055215506723249732174155659724645792848912999584408092121619228051026820736277
m: 500000000000000000000000000000000
deg: 5
c5: 41
c0: -10
skew: 0.75
# Murphy_E = 3.924e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1299402 hash collisions in 13398593 relations (12941068 unique)
Msieve: matrix is 538785 x 539010 (183.6 MB)

Sieving start time : 2022/07/02 16:37:55
Sieving end time  : 2022/07/02 17:33:16

Total sieving time: 0hrs 55min 21secs.

Total relation processing time: 0hrs 4min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 55sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

749631113079224474495706531938693779471203254463211352455888387208003225146647274879583173548489401999016394341331261967<120>

1586998113862668291929727289956823709383<40>
472357910530002175648015159800893852722951148395673228101640577419102193607203449<81>

749631113079224474495706531938693779471203254463211352455888387208003225146647274879583173548489401999016394341331261967=1586998113862668291929727289956823709383*472357910530002175648015159800893852722951148395673228101640577419102193607203449

cado polynomial
n: 749631113079224474495706531938693779471203254463211352455888387208003225146647274879583173548489401999016394341331261967
skew: 0.95
type: snfs
c0: -32
c5: 41
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^5-32
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4200000
tasks.lim1 = 4200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 472357910530002175648015159800893852722951148395673228101640577419102193607203449 1586998113862668291929727289956823709383
Info:Square Root: Total cpu/real time for sqrt: 91.03/28.7398
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.2/68.3259
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11625765
Info:Lattice Sieving: Average J: 1893.75 for 282605 special-q, max bucket fill -bkmult 1.0,1s:1.252600
Info:Lattice Sieving: Total time: 36944.2s
Info:Linear Algebra: Total cpu/real time for bwc: 3168.38/820.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1958.34, WCT time 499.97, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14720 iterations)
Info:Linear Algebra: Lingen CPU time 73.62, WCT time 18.8
Info:Linear Algebra: Mksol: CPU time 1093.65,  WCT time 283.65, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.84/51.1005
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.96/89.4907
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.1s
Info:Filtering - Merging: Merged matrix has 470399 rows and total weight 80396318 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 98.03/27.5394
Info:Filtering - Merging: Total cpu/real time for replay: 15.22/12.8128
Info:Generate Factor Base: Total cpu/real time for makefb: 1.82/0.982713
Info:Quadratic Characters: Total cpu/real time for characters: 15.25/6.02706
Info:Square Root: Total cpu/real time for sqrt: 91.03/28.7398
Info:Generate Free Relations: Total cpu/real time for freerel: 59.78/16.6616
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 71724/19756.2
Info:root: Cleaning up computation data in /tmp/cado.a2eua7hh
472357910530002175648015159800893852722951148395673228101640577419102193607203449 1586998113862668291929727289956823709383

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)

146764032073310423825887743413516609392898052691867124856815578465063001145475372279495990836197021764032073310423825887743413516609392898052691867124856815578465063<165>

3258583748039775389482219393421893284390424265408140108700116892285324183<73>
45039208263896052480778678327008873517636755578120233382550085585264337285883218108805445361<92>

Number: n
N=146764032073310423825887743413516609392898052691867124856815578465063001145475372279495990836197021764032073310423825887743413516609392898052691867124856815578465063  ( 165 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Jul  2 09:00:13 2022  p73 factor: 3258583748039775389482219393421893284390424265408140108700116892285324183
Sat Jul  2 09:00:13 2022  p92 factor: 45039208263896052480778678327008873517636755578120233382550085585264337285883218108805445361
Sat Jul  2 09:00:13 2022  elapsed time 00:10:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 41x10^167-32 = 45(166)2
#
n: 146764032073310423825887743413516609392898052691867124856815578465063001145475372279495990836197021764032073310423825887743413516609392898052691867124856815578465063
m: 1000000000000000000000000000000000
deg: 5
c5: 1025
c0: -8
skew: 0.38
# Murphy_E = 2.826e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1250995 hash collisions in 13251950 relations (12843493 unique)
Msieve: matrix is 638474 x 638699 (220.5 MB)

Sieving start time : 2022/07/02 07:46:57
Sieving end time  : 2022/07/02 08:49:42

Total sieving time: 1hrs 2min 45secs.

Total relation processing time: 0hrs 6min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118735] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153513] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152037] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

520495806966004176903312266531083111260438158390678345222134938446094691669387488432573768738039841820009536866362810240987179<126>

144662761641418038062027339616033134063<39>
3597994404781100955417729455233978801193289821338440278837306504002656432612063984313733<88>

520495806966004176903312266531083111260438158390678345222134938446094691669387488432573768738039841820009536866362810240987179=144662761641418038062027339616033134063*3597994404781100955417729455233978801193289821338440278837306504002656432612063984313733

cado polynomial
n: 520495806966004176903312266531083111260438158390678345222134938446094691669387488432573768738039841820009536866362810240987179
skew: 0.24
type: snfs
c0: -4
c5: 5125
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 5125*x^5-4
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4500000
tasks.lim1 = 4500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 144662761641418038062027339616033134063 3597994404781100955417729455233978801193289821338440278837306504002656432612063984313733
Info:Square Root: Total cpu/real time for sqrt: 204.74/65.387
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.43/51.115
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11638302
Info:Lattice Sieving: Average J: 1893.47 for 442591 special-q, max bucket fill -bkmult 1.0,1s:1.240210
Info:Lattice Sieving: Total time: 54895.2s
Info:Linear Algebra: Total cpu/real time for bwc: 9475.04/2439.88
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5955.09, WCT time 1527.34, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 145.0, WCT time 36.85
Info:Linear Algebra: Mksol: CPU time 3252.72,  WCT time 830.82, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.19/50.604
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.96/89.2275
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.0s
Info:Filtering - Merging: Merged matrix has 791473 rows and total weight 134797969 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 175.82/49.669
Info:Filtering - Merging: Total cpu/real time for replay: 29.12/24.2738
Info:Generate Factor Base: Total cpu/real time for makefb: 1.97/1.05224
Info:Quadratic Characters: Total cpu/real time for characters: 28.8/11.3066
Info:Square Root: Total cpu/real time for sqrt: 204.74/65.387
Info:Generate Free Relations: Total cpu/real time for freerel: 59.91/16.6973
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 111587/30420.8
Info:root: Cleaning up computation data in /tmp/cado.bkeiznx7
144662761641418038062027339616033134063 3597994404781100955417729455233978801193289821338440278837306504002656432612063984313733

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)

4536639583149654755088737555444374690844609870240600348343104148497978384881951769457625042179683148698741283898213564277942247560128842334557385082714668473886837<163>

95926431738665588288692352876375114538593782857550023611<56>
47292904582429565943378085869104545849366515159572431766436010700597037286135477631917680823812005153005967<107>

Number: n
N=4536639583149654755088737555444374690844609870240600348343104148497978384881951769457625042179683148698741283898213564277942247560128842334557385082714668473886837  ( 163 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue Jul  5 05:04:49 2022  p56 factor: 95926431738665588288692352876375114538593782857550023611
Tue Jul  5 05:04:49 2022  p107 factor: 47292904582429565943378085869104545849366515159572431766436010700597037286135477631917680823812005153005967
Tue Jul  5 05:04:49 2022  elapsed time 00:12:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 41x10^169-32 = 45(168)2
#
n: 4536639583149654755088737555444374690844609870240600348343104148497978384881951769457625042179683148698741283898213564277942247560128842334557385082714668473886837
m: 5000000000000000000000000000000000
deg: 5
c5: 41
c0: -10
skew: 0.75
# Murphy_E = 2.493e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1136865 hash collisions in 12300200 relations (11939149 unique)
Msieve: matrix is 727195 x 727423 (251.7 MB)

Sieving start time : 2022/07/05 03:46:00
Sieving end time  : 2022/07/05 04:52:08

Total sieving time: 1hrs 6min 8secs.

Total relation processing time: 0hrs 7min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 26sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

4220116897576331587894463361786407472996710411705418865252837502060391473664719389431583393305869166771174118308840971879214376636150466188744269857242981<154>

336822223030589480501659083105811622087265149<45>
12529211581128569163716878099508888378969273985702889760916115540775962540739024812591615713925960062645647369<110>

Number: n
N=4220116897576331587894463361786407472996710411705418865252837502060391473664719389431583393305869166771174118308840971879214376636150466188744269857242981  ( 154 digits)
SNFS difficulty: 173 digits.
Divisors found:

Fri Jul  8 00:53:20 2022  p45 factor: 336822223030589480501659083105811622087265149
Fri Jul  8 00:53:20 2022  p110 factor: 12529211581128569163716878099508888378969273985702889760916115540775962540739024812591615713925960062645647369
Fri Jul  8 00:53:20 2022  elapsed time 00:19:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 41x10^173-32 = 45(172)2
#
n: 4220116897576331587894463361786407472996710411705418865252837502060391473664719389431583393305869166771174118308840971879214376636150466188744269857242981
m: 10000000000000000000000000000000000
deg: 5
c5: 5125
c0: -4
skew: 0.24
# Murphy_E = 1.453e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1265837 hash collisions in 11928346 relations (11371484 unique)
Msieve: matrix is 973127 x 973352 (337.1 MB)

Sieving start time : 2022/07/07 22:55:38
Sieving end time  : 2022/07/08 00:33:30

Total sieving time: 1hrs 37min 52secs.

Total relation processing time: 0hrs 14min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 18sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

2267476161265168642081331286395320368594141249883257856707228056760285000501668639187207728567117716010535568989102827160499595461007<133>

701886757492629758306643953769495091698729540752788829035847<60>
3230544154110185692309748153881225409911775190539139387382458976219004281<73>

2267476161265168642081331286395320368594141249883257856707228056760285000501668639187207728567117716010535568989102827160499595461007=701886757492629758306643953769495091698729540752788829035847*3230544154110185692309748153881225409911775190539139387382458976219004281

cado polynomial
n: 2267476161265168642081331286395320368594141249883257856707228056760285000501668639187207728567117716010535568989102827160499595461007
skew: 0.95
type: snfs
c0: -32
c5: 41
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^5-32
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6100000
tasks.lim1 = 6100000
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: 3230544154110185692309748153881225409911775190539139387382458976219004281 701886757492629758306643953769495091698729540752788829035847
Info:Square Root: Total cpu/real time for sqrt: 157.34/50.6628
Info:Quadratic Characters: Total cpu/real time for characters: 24.35/9.59898
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.28/181.208
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.5s
Info:Square Root: Total cpu/real time for sqrt: 157.34/50.6628
Info:Linear Algebra: Total cpu/real time for bwc: 8111.74/2085.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5086.5, WCT time 1300.31, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23040 iterations)
Info:Linear Algebra: Lingen CPU time 127.1, WCT time 32.37
Info:Linear Algebra: Mksol: CPU time 2785.78,  WCT time 711.37, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 147.68/142.04
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22446391
Info:Lattice Sieving: Average J: 1892.98 for 571601 special-q, max bucket fill -bkmult 1.0,1s:1.169280
Info:Lattice Sieving: Total time: 95273.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.6/32.4938
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.86/101.635
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.6s
Info:Filtering - Merging: Merged matrix has 735795 rows and total weight 125626787 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 167.56/46.8666
Info:Filtering - Merging: Total cpu/real time for replay: 25/20.9732
Info:Generate Factor Base: Total cpu/real time for makefb: 2.64/1.40845
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 186115/50559.4
Info:root: Cleaning up computation data in /tmp/cado.d0s4do0p
3230544154110185692309748153881225409911775190539139387382458976219004281 701886757492629758306643953769495091698729540752788829035847

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)

14236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<176>

149367156188326762690102908468343649433284980788056579<54>
95309514316264941312552792698539029887551387752543800613420956630875649966768200600949940698165365775239872957725845936109<122>

Sat Jul  2 16:35:16 2022  Msieve v. 1.53 (SVN unknown)
Sat Jul  2 16:35:16 2022  random seeds: 688e9928 7eb0b65a
Sat Jul  2 16:35:16 2022  factoring 14236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (176 digits)
Sat Jul  2 16:35:16 2022  searching for 15-digit factors
Sat Jul  2 16:35:17 2022  commencing number field sieve (176-digit input)
Sat Jul  2 16:35:17 2022  R0: -100000000000000000000000000000000000
Sat Jul  2 16:35:17 2022  R1: 1
Sat Jul  2 16:35:17 2022  A0: -16
Sat Jul  2 16:35:17 2022  A1: 0
Sat Jul  2 16:35:17 2022  A2: 0
Sat Jul  2 16:35:17 2022  A3: 0
Sat Jul  2 16:35:17 2022  A4: 0
Sat Jul  2 16:35:17 2022  A5: 205
Sat Jul  2 16:35:17 2022  skew 0.60, size 1.981e-12, alpha 0.316, combined = 1.250e-10 rroots = 1
Sat Jul  2 16:35:17 2022  
Sat Jul  2 16:35:17 2022  commencing square root phase
Sat Jul  2 16:35:17 2022  reading relations for dependency 1
Sat Jul  2 16:35:17 2022  read 687636 cycles
Sat Jul  2 16:35:18 2022  cycles contain 2420534 unique relations
Sat Jul  2 16:35:37 2022  read 2420534 relations
Sat Jul  2 16:35:46 2022  multiplying 2420534 relations
Sat Jul  2 16:36:36 2022  multiply complete, coefficients have about 71.04 million bits
Sat Jul  2 16:36:37 2022  initial square root is modulo 125731
Sat Jul  2 16:37:34 2022  sqrtTime: 137
Sat Jul  2 16:37:34 2022  p54 factor: 149367156188326762690102908468343649433284980788056579
Sat Jul  2 16:37:34 2022  p122 factor: 95309514316264941312552792698539029887551387752543800613420956630875649966768200600949940698165365775239872957725845936109
Sat Jul  2 16:37:34 2022  elapsed time 00:02:18

105724190280602934433178474728143395751244946177413484193191782979779263568817928050119166118551206031423746102851627929735930059724574972251783737280193735401294369399867<171>

87608715194180167468769032697157974299079368556534606333036246651489<68>
1206777088857778101428625623818783742707686164053405875689413173264225046882448107980377586156655768603<103>

Number: n
N=105724190280602934433178474728143395751244946177413484193191782979779263568817928050119166118551206031423746102851627929735930059724574972251783737280193735401294369399867  ( 171 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat Jul  9 11:03:23 2022  p68 factor: 87608715194180167468769032697157974299079368556534606333036246651489
Sat Jul  9 11:03:23 2022  p103 factor: 1206777088857778101428625623818783742707686164053405875689413173264225046882448107980377586156655768603
Sat Jul  9 11:03:23 2022  elapsed time 00:24:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 41x10^177-32 = 45(176)2
#
n: 105724190280602934433178474728143395751244946177413484193191782979779263568817928050119166118551206031423746102851627929735930059724574972251783737280193735401294369399867
m: 100000000000000000000000000000000000
deg: 5
c5: 1025
c0: -8
skew: 0.38
# Murphy_E = 1.13e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1259763 hash collisions in 11748980 relations (11184008 unique)
Msieve: matrix is 1094406 x 1094631 (380.8 MB)

Sieving start time : 2022/07/09 09:02:05
Sieving end time  : 2022/07/09 10:38:49

Total sieving time: 1hrs 36min 44secs.

Total relation processing time: 0hrs 19min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

104314540101516125431223123748647423466858843947514616367666228487635797095912798460874694667845268480356958423744504174208363106174314411<138>

12798988131721261133930320995997759922317625909<47>
8150217738149232302278677099546104928649809380036317586270412359142814309612979240213456479<91>

104314540101516125431223123748647423466858843947514616367666228487635797095912798460874694667845268480356958423744504174208363106174314411=12798988131721261133930320995997759922317625909*8150217738149232302278677099546104928649809380036317586270412359142814309612979240213456479

cado polynomial
n: 104314540101516125431223123748647423466858843947514616367666228487635797095912798460874694667845268480356958423744504174208363106174314411
skew: 0.75
type: snfs
c0: -10
c5: 41
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^5-10
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7000000
tasks.lim1 = 7000000
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: 12798988131721261133930320995997759922317625909 8150217738149232302278677099546104928649809380036317586270412359142814309612979240213456479
Info:Square Root: Total cpu/real time for sqrt: 230.09/72.9539
Info:Quadratic Characters: Total cpu/real time for characters: 35.32/14.4086
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22415614
Info:Lattice Sieving: Average J: 1895.04 for 940627 special-q, max bucket fill -bkmult 1.0,1s:1.173060
Info:Lattice Sieving: Total time: 155157s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.63/32.4028
Info:Square Root: Total cpu/real time for sqrt: 230.09/72.9539
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.01/103.648
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.6s
Info:Linear Algebra: Total cpu/real time for bwc: 17121.1/4390.46
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10852.01, WCT time 2772.35, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (33024 iterations)
Info:Linear Algebra: Lingen CPU time 213.0, WCT time 53.93
Info:Linear Algebra: Mksol: CPU time 5884.78,  WCT time 1501.39, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16640 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 215.27/182.892
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.97/1.62228
Info:Filtering - Merging: Merged matrix has 1049569 rows and total weight 179407410 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 252.9/70.4102
Info:Filtering - Merging: Total cpu/real time for replay: 37.65/32.3677
Info:Filtering - Singleton removal: Total cpu/real time for purge: 120.45/122.525
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 307338/7128.44
12798988131721261133930320995997759922317625909 8150217738149232302278677099546104928649809380036317586270412359142814309612979240213456479

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)

666576066642609584394581455320264918565422509057667481673262692414603295244451251809452337007420289478108310292303771394858280620976791218697666015529120097<156>

66172293019490292349284763658477549271924365942835188477375717383214884648581919168508627408690223654988940823969624976579685775437118035686471419097836751<155>

306018423817721396396421230695799107121629574809640090557080017716132888539572685547626897490116325506741823230004613095996972329135338509409107<144>

5079119299543364876398516916985486701527759443395916011485053217277687196020903970255884543739492417097871507102045799880519293121375986439296546436727750880744062732524559152265753<181>

57494680450972445565799762626457694443590300504460025517163112945935047984631<77>
88340682297982201788515524140279150164569477149461492505961498484447542463292670584499364079648332414063<104>

Number: n
N=5079119299543364876398516916985486701527759443395916011485053217277687196020903970255884543739492417097871507102045799880519293121375986439296546436727750880744062732524559152265753  ( 181 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sun Jul 10 17:41:56 2022  p77 factor: 57494680450972445565799762626457694443590300504460025517163112945935047984631
Sun Jul 10 17:41:56 2022  p104 factor: 88340682297982201788515524140279150164569477149461492505961498484447542463292670584499364079648332414063
Sun Jul 10 17:41:56 2022  elapsed time 00:38:49 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 41x10^187-32 = 45(186)2
#
n: 5079119299543364876398516916985486701527759443395916011485053217277687196020903970255884543739492417097871507102045799880519293121375986439296546436727750880744062732524559152265753
m: 10000000000000000000000000000000000000
deg: 5
c5: 1025
c0: -8
skew: 0.38
# Murphy_E = 4.441e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3044551 hash collisions in 28917353 relations (27640237 unique)
Msieve: matrix is 1133219 x 1133444 (390.7 MB)

Sieving start time : 2022/07/10 11:15:15
Sieving end time  : 2022/07/10 17:02:09

Total sieving time: 5hrs 46min 54secs.

Total relation processing time: 0hrs 21min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 54sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

106126779627299516618876772748258167898928864547585167756315505062537848975284848077939018444471505794521183022893328853<120>

4387043960210962262501309944377073888017527611<46>
24190954225632181306742999557842027988100480546626247830502093584204555823<74>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2664565241
Step 1 took 17734ms
Step 2 took 9454ms
********** Factor found in step 2: 4387043960210962262501309944377073888017527611
Found prime factor of 46 digits: 4387043960210962262501309944377073888017527611
Prime cofactor 24190954225632181306742999557842027988100480546626247830502093584204555823 has 74 digits
 

GMP-ECM

4509675789789183414146965476756266085457961992923251108407382390323560371466061259626744180714220136519638036054001290418962475554914981372359253870851929797351197942787<169>

41845428939505970295646622490854330007024097<44>
107769854535572241251385311557259813453180373068993431018097017008675395938254539561870431064832285222836216796992906155612771<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3300987932
Step 1 took 7234ms
Step 2 took 3844ms
********** Factor found in step 2: 41845428939505970295646622490854330007024097
Found prime factor of 44 digits: 41845428939505970295646622490854330007024097
Prime cofactor 107769854535572241251385311557259813453180373068993431018097017008675395938254539561870431064832285222836216796992906155612771 has 126 digits
 

GMP-ECM

14236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<191>

8804876223251520306560181372707773106434157<43>
67391524721224669690869362764136401153208593823477<50>
23991799949760696481088520946637454855018975496456575085213553736422485326242215107705568406734999<98>

Number: n
N=14236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 191 digits)
SNFS difficulty: 192 digits.
Divisors found:

Tue Jul 12 12:12:38 2022  found factor: 593374033666578134559604882843708004958090207654694124123620753295645667502252315478181303889
Tue Jul 12 12:15:44 2022  p43 factor: 8804876223251520306560181372707773106434157
Tue Jul 12 12:15:44 2022  p50 factor: 67391524721224669690869362764136401153208593823477
Tue Jul 12 12:15:44 2022  p98 factor: 23991799949760696481088520946637454855018975496456575085213553736422485326242215107705568406734999
Tue Jul 12 12:15:44 2022  elapsed time 00:48:33 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 41x10^191-32 = 45(190)2
#
n: 14236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 100000000000000000000000000000000000000
deg: 5
c5: 205
c0: -16
skew: 0.60
# Murphy_E = 3.062e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3148782 hash collisions in 28767297 relations (27336998 unique)
Msieve: matrix is 1346952 x 1347177 (467.8 MB)

Sieving start time : 2022/07/12 05:06:45
Sieving end time  : 2022/07/12 11:26:16

Total sieving time: 6hrs 19min 31secs.

Total relation processing time: 0hrs 32min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 45sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116830] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153517] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798712)
[    0.152024] smpboot: Total of 16 processors activated (102389.69 BogoMIPS)

1844653866344231956621752025012027489318656247866300970476574241890886551994102066738917698330947467349580979326469509985679121522551658394099918722949154700138959423807<169>

2271801227992048786137999692270996240643781485659<49>
811978549714336263102806792530129745742933303301725239138193453361369692263199901956935984278805897657865191499042747373<120>

Number: n
N=1844653866344231956621752025012027489318656247866300970476574241890886551994102066738917698330947467349580979326469509985679121522551658394099918722949154700138959423807  ( 169 digits)
SNFS difficulty: 193 digits.
Divisors found:

Thu Jul 14 05:24:30 2022  p49 factor: 2271801227992048786137999692270996240643781485659
Thu Jul 14 05:24:30 2022  p120 factor: 811978549714336263102806792530129745742933303301725239138193453361369692263199901956935984278805897657865191499042747373
Thu Jul 14 05:24:30 2022  elapsed time 00:50:41 (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 = 41x10^192-32 = 45(191)2
#
n: 1844653866344231956621752025012027489318656247866300970476574241890886551994102066738917698330947467349580979326469509985679121522551658394099918722949154700138959423807
m: 100000000000000000000000000000000000000
deg: 5
c5: 1025
c0: -8
skew: 0.38
# Murphy_E = 2.766e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3172612 hash collisions in 28179078 relations (26658120 unique)
Msieve: matrix is 1408924 x 1409150 (490.4 MB)

Sieving start time : 2022/07/14 00:19:39
Sieving end time  : 2022/07/14 04:33:20

Total sieving time: 4hrs 13min 41secs.

Total relation processing time: 0hrs 36min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 57sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

23770867574978186460447780992990539333851700584100077161395702895045845074982360856704850333051886261245591605641631606376325347620529198417588419742408211055990527645542180789947905389999<188>

6646726536803647328345254301221082939<37>

3576326999968527187445894908920932471720597731498500403653826100945414571401103185502884029254123021119457863557011567766397162328207295707192559680541<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3547354489
Step 1 took 6000ms
Step 2 took 3453ms
********** Factor found in step 2: 6646726536803647328345254301221082939
Found prime factor of 37 digits: 6646726536803647328345254301221082939
Composite cofactor 3576326999968527187445894908920932471720597731498500403653826100945414571401103185502884029254123021119457863557011567766397162328207295707192559680541 has 151 digits
 

GMP-ECM

382270322177714715934275276202749595590236025529968626246477899476677702484274928936479848691396696221081262420717436855299480625403014484765669057503594199612955568663<168>

1204919955078699462303174610237197408859590573435552499778864390909647238213710621390620014198453244333601626617657574203195459438568332656443863201026622986231021042115803283645077921492627<190>

1475569260120436343721350184250715196782437865825648215789855609879573680176993618547665798554176346432161865276243194740851<124>

36648571942387680971090881213125561496059401460763039463957<59>
40262667326848696279642021835826013602177101594501524544499735143<65>

1475569260120436343721350184250715196782437865825648215789855609879573680176993618547665798554176346432161865276243194740851=36648571942387680971090881213125561496059401460763039463957*40262667326848696279642021835826013602177101594501524544499735143

cado polynomial
n: 1475569260120436343721350184250715196782437865825648215789855609879573680176993618547665798554176346432161865276243194740851
skew: 258116.648
c0: -756670269251751976978256692152
c1: 45319797511044029055766274
c2: 86221021359912415383
c3: -1158771557060429
c4: -1133595486
c5: 2880
Y0: -1251931595722108269354305
Y1: 1350462766930477
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.352e-07
# f(x) = 2880*x^5-1133595486*x^4-1158771557060429*x^3+86221021359912415383*x^2+45319797511044029055766274*x-756670269251751976978256692152
# g(x) = 1350462766930477*x-1251931595722108269354305

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 36648571942387680971090881213125561496059401460763039463957 40262667326848696279642021835826013602177101594501524544499735143
Info:Square Root: Total cpu/real time for sqrt: 233.34/69.5995
Info:Generate Free Relations: Total cpu/real time for freerel: 125.75/32.7802
Info:Filtering - Singleton removal: Total cpu/real time for purge: 58.2/63.9177
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11640270
Info:Lattice Sieving: Average J: 3860.47 for 158615 special-q, max bucket fill -bkmult 1.0,1s:1.169090
Info:Lattice Sieving: Total time: 49192.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.55/2.27973
Info:Linear Algebra: Total cpu/real time for bwc: 7597.25/1952.48
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4764.54, WCT time 1218.19, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22272 iterations)
Info:Linear Algebra: Lingen CPU time 122.09, WCT time 31.07
Info:Linear Algebra: Mksol: CPU time 2601.61,  WCT time 664.09, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.06/57.5505
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2419.57
Info:Polynomial Selection (root optimized): Rootsieve time: 2417.16
Info:Filtering - Merging: Merged matrix has 708186 rows and total weight 120765005 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 139.8/40.6707
Info:Filtering - Merging: Total cpu/real time for replay: 26.03/21.5408
Info:Quadratic Characters: Total cpu/real time for characters: 26/10.3432
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20321/36.190/43.864/47.840/0.884
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15993/35.970/39.247/44.610/0.895
Info:Polynomial Selection (size optimized): Total time: 1982.42
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 124.77/108.178
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.80000000000001s
Info:Square Root: Total cpu/real time for sqrt: 233.34/69.5995
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 104619/28426.1
Info:root: Cleaning up computation data in /tmp/cado.7i3j48vw
36648571942387680971090881213125561496059401460763039463957 40262667326848696279642021835826013602177101594501524544499735143

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)

426358523842800572360320787993743968586735882333366610096169844597517553492396259691857176133905693654121327077301920069215666699943429503177930850886825729593025190509467239026987454660410635253402549<201>

665227464252345769989921571593565435873646646585354016519722642103368316872925500286561665093170787913332443940405644529139<123>

6367219333121970430058476964404996731595036099877<49>
104476919900004750651257790121497055499877973230163832733473702170557790007<75>

665227464252345769989921571593565435873646646585354016519722642103368316872925500286561665093170787913332443940405644529139=6367219333121970430058476964404996731595036099877*104476919900004750651257790121497055499877973230163832733473702170557790007

cado polynomial
n: 665227464252345769989921571593565435873646646585354016519722642103368316872925500286561665093170787913332443940405644529139
skew: 76259.519
c0: -60455977617626764885944173188
c1: 460719350263635364486376
c2: 8546662768389782159
c3: -176793346778979
c4: 607603992
c5: 28320
Y0: -620664643395627126226465
Y1: 1478990577861963533
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 3.036e-07
# f(x) = 28320*x^5+607603992*x^4-176793346778979*x^3+8546662768389782159*x^2+460719350263635364486376*x-60455977617626764885944173188
# g(x) = 1478990577861963533*x-620664643395627126226465

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6367219333121970430058476964404996731595036099877 104476919900004750651257790121497055499877973230163832733473702170557790007
Info:Square Root: Total cpu/real time for sqrt: 479.04/142.076
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.37/61.2542
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11620669
Info:Lattice Sieving: Average J: 3807.62 for 169238 special-q, max bucket fill -bkmult 1.0,1s:1.196190
Info:Lattice Sieving: Total time: 51885.8s
Info:Linear Algebra: Total cpu/real time for bwc: 7952.52/2047.04
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4994.02, WCT time 1278.21, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23040 iterations)
Info:Linear Algebra: Lingen CPU time 129.08, WCT time 32.87
Info:Linear Algebra: Mksol: CPU time 2717.79,  WCT time 695.34, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 8.79/8.60333
Info:Generate Free Relations: Total cpu/real time for freerel: 128.09/115.76
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.45/54.8036
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 54.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2453.21
Info:Polynomial Selection (root optimized): Rootsieve time: 2450.72
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 122.57/105.126
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 95.0s
Info:Filtering - Merging: Merged matrix has 729888 rows and total weight 124715068 (170.9 entries per row on average)Info:Filtering - Merging: Total cpu/real time for merge: 144.63/41.9685
Info:Filtering - Merging: Total cpu/real time for replay: 26.75/22.1968
Info:Quadratic Characters: Total cpu/real time for characters: 27.03/10.7591
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20068/36.310/43.737/47.610/0.891
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15785/35.420/39.117/44.450/0.893
Info:Polynomial Selection (size optimized): Total time: 1995.84
Info:Square Root: Total cpu/real time for sqrt: 479.04/142.076
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 107675/31088.9
Info:root: Cleaning up computation data in /tmp/cado.i8hng2r9
6367219333121970430058476964404996731595036099877 104476919900004750651257790121497055499877973230163832733473702170557790007

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)

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11074809822442486931228601222424891323791501030688190819116514802211655638462254661876475902609306247403778374933655494179883790733578796699809107<146>

1905058591151233463296039863329778423274080522188569441<55>
5813369664263155937486831682331077286065026684174384651236420784656060156454765092941906227<91>

Number: 45552_227
N = 11074809822442486931228601222424891323791501030688190819116514802211655638462254661876475902609306247403778374933655494179883790733578796699809107 (146 digits)
Divisors found:
r1=1905058591151233463296039863329778423274080522188569441 (pp55)
r2=5813369664263155937486831682331077286065026684174384651236420784656060156454765092941906227 (pp91)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 89.12 hours.
Factorization parameters were as follows:
n: 11074809822442486931228601222424891323791501030688190819116514802211655638462254661876475902609306247403778374933655494179883790733578796699809107
# norm 4.750021e-14 alpha -7.554288 e 9.614e-12 rroots 1
skew: 20236179.28
c0: -59153398314869863849545119494015471629
c1: -35457701144224968057728284523667
c2: -7244893362996341783736279
c3: -44925454955576533
c4: -1709557252
c5: 240
Y0: -34105549092198653005381987970
Y1: 2142784853122727
type: gnfs
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 41066001
Relations: 5800052 relations
Pruned matrix : 3368366 x 3368604
Polynomial selection time: 0.80 hours.
Total sieving time: 80.87 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 6.59 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: gnfs,145,5,65,2000,1e-05,0.28,250,20,50000,3600,16800000,16800000,29,29,58,58,2.6,2.6,100000
total time: 89.12 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

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584901190559805837073909004878885017324343<42>
38460552242617133017714574739088714062243103586470407964031640726660566251090123<80>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1960841522
Step 1 took 17625ms
Step 2 took 9234ms
********** Factor found in step 2: 584901190559805837073909004878885017324343
Found prime factor of 42 digits: 584901190559805837073909004878885017324343
Prime cofactor 38460552242617133017714574739088714062243103586470407964031640726660566251090123 has 80 digits

GMP-ECM

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