14927696421275278229702646859930650601256976651088724245309419787510479883441872725413145443097308963<101>

38315614395385364566158937971401211075765985124911<50>
389598252744529450421134790821673307245021945497933<51>

N=14927696421275278229702646859930650601256976651088724245309419787510479883441872725413145443097308963
  ( 101 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=38315614395385364566158937971401211075765985124911 (pp50)
 r2=389598252744529450421134790821673307245021945497933 (pp51)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.18 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 14927696421275278229702646859930650601256976651088724245309419787510479883441872725413145443097308963
m: 100000000000000000000000000
deg: 4
c4: 13400
c0: 1
skew: 0.09
# Murphy_E = 1.544e-07
type: snfs
lss: 1
rlim: 440000
alim: 440000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 440000/440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [220000, 380001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 35293 x 35518
Total sieving time: 0.17 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,108.000,4,0,0,0,0,0,0,0,0,440000,440000,25,25,44,44,2.2,2.2,20000
total time: 0.18 hours.
 --------- CPU info (if available) ----------

134733325154397103464446121667215266077891507293615163487594093208294947695881180823409490694836099767<102>

2634445648234959411364370460630236899<37>
51142951172542310032698325174414120623169641507660755938851227933<65>

N=134733325154397103464446121667215266077891507293615163487594093208294947695881180823409490694836099767
  ( 102 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=2634445648234959411364370460630236899 (pp37)
 r2=51142951172542310032698325174414120623169641507660755938851227933 (pp65)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 134733325154397103464446121667215266077891507293615163487594093208294947695881180823409490694836099767
m: 1000000000000000000000000000
deg: 4
c4: 1340
c0: 1
skew: 0.17
# Murphy_E = 9.506e-08
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, 490001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 53023 x 53251
Total sieving time: 0.00 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: 0.01 hours.
 --------- CPU info (if available) ----------

1488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<112>

578997928107450124216913020855535994321191707<45>
2571492602323408814247718163194609053117609718403988617631235290427<67>

N=1488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
  ( 112 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=578997928107450124216913020855535994321191707 (pp45)
 r2=2571492602323408814247718163194609053117609718403988617631235290427 (pp67)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 1000000000000000000000000000
deg: 4
c4: 13400
c0: 1
skew: 0.09
# Murphy_E = 1.013e-07
type: snfs
lss: 1
rlim: 520000
alim: 520000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 520000/520000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [260000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 47814 x 48039
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,112.000,4,0,0,0,0,0,0,0,0,520000,520000,25,25,45,45,2.2,2.2,20000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

550372809808859219687180416683968498467560841763175976407571273381551741636273971148882293451142686902806995797<111>

1715533610658885724239243310840032837451915598747392573<55>
320817270142248801701441364417972001915905380423798781689<57>

N=550372809808859219687180416683968498467560841763175976407571273381551741636273971148882293451142686902806995797
  ( 111 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=1715533610658885724239243310840032837451915598747392573 (pp55)
 r2=320817270142248801701441364417972001915905380423798781689 (pp57)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 550372809808859219687180416683968498467560841763175976407571273381551741636273971148882293451142686902806995797
m: 100000000000000000000000000000
deg: 4
c4: 134
c0: 1
skew: 0.29
# Murphy_E = 6.407e-08
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 525001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51454 x 51681
Total sieving time: 0.00 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,118.000,4,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

38535864159683010601308748036697795683772010547286622813511641062379544798734059469912610873211407443646307832727<113>

44487408337839174085866244577526389843321<41>
866219579864938482429272509413313001611901139929032410390673425458367887<72>

N=38535864159683010601308748036697795683772010547286622813511641062379544798734059469912610873211407443646307832727
  ( 113 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=44487408337839174085866244577526389843321 (pp41)
 r2=866219579864938482429272509413313001611901139929032410390673425458367887 (pp72)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 38535864159683010601308748036697795683772010547286622813511641062379544798734059469912610873211407443646307832727
m: 1000000000000000000000000000000
deg: 4
c4: 13400
c0: 1
skew: 0.09
# Murphy_E = 2.769e-08
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 785001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73308 x 73533
Total sieving time: 0.00 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,124.000,4,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,75000
total time: 0.02 hours.
 --------- CPU info (if available) ----------

11452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453<125>

670270549940780628730140729754545842341395470239<48>
17087117215583082577287947357757686610999011182100479408221450750432231905027<77>

n: 11452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453
skew: 48362.645
c0: -23700560172646553878284767892
c1: 2590426335258552417766217
c2: -37069111930759935096
c3: -2726421536949437
c4: -5681394432
c5: 218880
Y0: -1205734971012983992382825
Y1: 548895688425944593
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.208e+13) = 3.664e-06
# f(x) = 218880*x^5-5681394432*x^4-2726421536949437*x^3-37069111930759935096*x^2+2590426335258552417766217*x-23700560172646553878284767892
# g(x) = 548895688425944593*x-1205734971012983992382825
Factors:
        670270549940780628730140729754545842341395470239
        17087117215583082577287947357757686610999011182100479408221450750432231905027
Total cpu/elapsed time for entire Complete Factorization 96198.3/14547.4

CADO-NFS v3.0.0

Ubuntu 20.04.4 LTS, Intel Xeon E5-1620

105073316082490394416999921587077550380302673880655532031678820669646357719752215165059201756449462871481220105073316082490394417<129>

211371600937448384284927173076394807<36>
497102333598660439532410339613952344718427001510932373915580323846076959677123488457705942231<93>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 105073316082490394416999921587077550380302673880655532031678820669646357719752215165059201756449462871481220105073316082490394417 (129 digits)
Using B1=28020000, B2=144287213086, polynomial Dickson(12), sigma=1:3403130216
Step 1 took 43759ms
Step 2 took 19485ms
********** Factor found in step 2: 211371600937448384284927173076394807
Found prime factor of 36 digits: 211371600937448384284927173076394807
Prime cofactor 497102333598660439532410339613952344718427001510932373915580323846076959677123488457705942231 has 93 digits

2504487592521982443980221789934169760681603093259301514746161440874868436379634978331627205358693392176073905310785794677569<124>

25065824019386091606959723892210716719401651126069235081<56>
99916427666012233398221565654661024221941918152226763099513506310649<68>

N=2504487592521982443980221789934169760681603093259301514746161440874868436379634978331627205358693392176073905310785794677569
  ( 124 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=25065824019386091606959723892210716719401651126069235081 (pp56)
 r2=99916427666012233398221565654661024221941918152226763099513506310649 (pp68)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.06 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2504487592521982443980221789934169760681603093259301514746161440874868436379634978331627205358693392176073905310785794677569
m: 10000000000000000000000000000000000
deg: 4
c4: 67
c0: 5
skew: 0.52
# Murphy_E = 5.181e-09
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3

Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1795001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 196381 x 196607
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137.000,4,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,100000
total time: 0.06 hours.
 --------- CPU info (if available) ----------

6308884081826829262810295302810141151469534536326291303842177091704932663462339683955532543641786857360401463<109>

76363359326409613587638426688309495839738737613<47>
82616638889077208967682287279889030569356469153040013588626451<62>

6308884081826829262810295302810141151469534536326291303842177091704932663462339683955532543641786857360401463=76363359326409613587638426688309495839738737613*82616638889077208967682287279889030569356469153040013588626451

cado polynomial
n: 6308884081826829262810295302810141151469534536326291303842177091704932663462339683955532543641786857360401463
skew: 2901.428
c0: -188528278683201413769315
c1: -154244580959425278747
c2: 70200742726998263
c3: 39036410012929
c4: -4444625160
c5: 702000
Y0: -683329623285272454760
Y1: 12268626699239029
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.632e-06
# f(x) = 702000*x^5-4444625160*x^4+39036410012929*x^3+70200742726998263*x^2-154244580959425278747*x-188528278683201413769315
# g(x) = 12268626699239029*x-683329623285272454760

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 82616638889077208967682287279889030569356469153040013588626451 76363359326409613587638426688309495839738737613
Info:Square Root: Total cpu/real time for sqrt: 181.96/53.2192
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 253.1
Info:Polynomial Selection (root optimized): Rootsieve time: 252.11
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11936/32.720/38.606/43.980/1.065
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9257/30.660/34.214/39.090/0.850
Info:Polynomial Selection (size optimized): Total time: 713.12
Info:Generate Factor Base: Total cpu/real time for makefb: 2.38/0.671889
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 83.31/93.6591
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 66.5s
Info:Quadratic Characters: Total cpu/real time for characters: 11.11/4.32552
Info:Square Root: Total cpu/real time for sqrt: 181.96/53.2192
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.71/20.5547
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.599999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.42/69.6053
Info:Generate Free Relations: Total cpu/real time for freerel: 62.6/16.6115
Info:Filtering - Merging: Merged matrix has 295311 rows and total weight 46001070 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.94/13.3862
Info:Filtering - Merging: Total cpu/real time for replay: 9.67/8.00287
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5183873
Info:Lattice Sieving: Average J: 1890.41 for 85152 special-q, max bucket fill -bkmult 1.0,1s:1.286200
Info:Lattice Sieving: Total time: 8179.8s
Info:Linear Algebra: Total cpu/real time for bwc: 1129.45/293.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 683.62, WCT time 175.63, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9344 iterations)
Info:Linear Algebra: Lingen CPU time 46.02, WCT time 11.73
Info:Linear Algebra: Mksol: CPU time 375.9,  WCT time 96.52, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17343.7/4886.12
Info:root: Cleaning up computation data in /tmp/cado.jvr3ugpg
82616638889077208967682287279889030569356469153040013588626451 76363359326409613587638426688309495839738737613

cado-nfs-3.0.0

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

7034399237818522411320742157872497255734144169308778530553865354503983907379804382714301637521239543472490629461090953944212080882339<133>

6264399910970754735723561421081428384307477080709139<52>
1122916693983613461997687848503537894081640177784034394348883051992777421025258801<82>

Number: n
N=7034399237818522411320742157872497255734144169308778530553865354503983907379804382714301637521239543472490629461090953944212080882339  ( 133 digits)
SNFS difficulty: 145 digits.
Divisors found:

Sat Nov 26 17:58:13 2022  p52 factor: 6264399910970754735723561421081428384307477080709139
Sat Nov 26 17:58:13 2022  p82 factor: 1122916693983613461997687848503537894081640177784034394348883051992777421025258801
Sat Nov 26 17:58:13 2022  elapsed time 00:03:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.289).
Factorization parameters were as follows:
#
# N = 67x10^144+5 = 74(143)5
#
n: 7034399237818522411320742157872497255734144169308778530553865354503983907379804382714301637521239543472490629461090953944212080882339
m: 1000000000000000000000000000000000000
deg: 4
c4: 67
c0: 5
skew: 0.52
# Murphy_E = 2.055e-09
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6545000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 438967 hash collisions in 5943677 relations (6174531 unique)
Msieve: matrix is 304656 x 304881 (103.9 MB)

Sieving start time : 2022/11/26 17:32:40
Sieving end time  : 2022/11/26 17:54:42

Total sieving time: 0hrs 22min 2secs.

Total relation processing time: 0hrs 1min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 11sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3578026324164643996743873307088197970545552976343792610132345303187556588016918291658372433782192874953263194781<112>

6976954340575193740793993095903669943<37>
512834992104830733237253463593896926244622876029184209435023797744979240267<75>

3578026324164643996743873307088197970545552976343792610132345303187556588016918291658372433782192874953263194781=6976954340575193740793993095903669943*512834992104830733237253463593896926244622876029184209435023797744979240267

cado polynomial
n: 3578026324164643996743873307088197970545552976343792610132345303187556588016918291658372433782192874953263194781
skew: 39495.28
c0: 675309487224242043720735370
c1: 146716532854988808624463
c2: -3624603658312610650
c3: -141676858640077
c4: 839395350
c5: 19800
Y0: -4470671756331355816764
Y1: 1315002347536003
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.389e-06
# f(x) = 19800*x^5+839395350*x^4-141676858640077*x^3-3624603658312610650*x^2+146716532854988808624463*x+675309487224242043720735370
# g(x) = 1315002347536003*x-4470671756331355816764

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6976954340575193740793993095903669943 512834992104830733237253463593896926244622876029184209435023797744979240267
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11770/32.650/39.736/47.280/1.095
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9265/31.500/35.173/40.150/0.885
Info:Polynomial Selection (size optimized): Total time: 816.63
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 288.41
Info:Polynomial Selection (root optimized): Rootsieve time: 270.08
Info:Generate Factor Base: Total cpu/real time for makefb: 2.45/0.381162
Info:Generate Free Relations: Total cpu/real time for freerel: 63.61/7.99979
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5371448
Info:Lattice Sieving: Average J: 1923.61 for 100627 special-q, max bucket fill -bkmult 1.0,1s:1.199670
Info:Lattice Sieving: Total time: 15868.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 12.49/19.2046
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 109.36/89.7574
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.50000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 90.71/83.386
Info:Filtering - Merging: Merged matrix has 297540 rows and total weight 46268560 (155.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.38/7.60069
Info:Filtering - Merging: Total cpu/real time for replay: 8.95/7.3052
Info:Linear Algebra: Total cpu/real time for bwc: 761/205.33
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 122.58, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9344 iterations)
Info:Linear Algebra: Lingen CPU time 25.63, WCT time 6.98
Info:Linear Algebra: Mksol: WCT time 70.29, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 12.23/3.07317
Info:Square Root: Total cpu/real time for sqrt: 422.49/56.7177
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 41880.9/4527.45
Info:root: Cleaning up computation data in /tmp/cado.vdv41ojt
6976954340575193740793993095903669943 512834992104830733237253463593896926244622876029184209435023797744979240267

cado-nfs-3.0.0

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

37315510999721526037315510999721526037315510999721526037315510999721526037315510999721526037315510999721526037315510999721526037315510999721526037315511<152>

243516644137817499152809835470638502095349<42>
153235977490733351430822035807524241233128134224704926879555911277302904073169359916753769207998359878397238139<111>

Sat Nov 26 14:39:43 2022  Msieve v. 1.53 (SVN unknown)
Sat Nov 26 14:39:43 2022  random seeds: 1591ef50 36a48cfb
Sat Nov 26 14:39:43 2022  factoring 37315510999721526037315510999721526037315510999721526037315510999721526037315510999721526037315510999721526037315510999721526037315510999721526037315511 (152 digits)
Sat Nov 26 14:39:43 2022  searching for 15-digit factors
Sat Nov 26 14:39:43 2022  commencing number field sieve (152-digit input)
Sat Nov 26 14:39:43 2022  R0: -2000000000000000000000000000000
Sat Nov 26 14:39:43 2022  R1: 1
Sat Nov 26 14:39:43 2022  A0: 2
Sat Nov 26 14:39:43 2022  A1: 0
Sat Nov 26 14:39:43 2022  A2: 0
Sat Nov 26 14:39:43 2022  A3: 0
Sat Nov 26 14:39:43 2022  A4: 0
Sat Nov 26 14:39:43 2022  A5: 8375
Sat Nov 26 14:39:43 2022  skew 0.19, size 4.878e-11, alpha 0.130, combined = 8.297e-10 rroots = 1
Sat Nov 26 14:39:43 2022  
Sat Nov 26 14:39:43 2022  commencing square root phase
Sat Nov 26 14:39:43 2022  reading relations for dependency 1
Sat Nov 26 14:39:44 2022  read 242242 cycles
Sat Nov 26 14:39:44 2022  cycles contain 848288 unique relations
Sat Nov 26 14:39:51 2022  read 848288 relations
Sat Nov 26 14:39:54 2022  multiplying 848288 relations
Sat Nov 26 14:40:10 2022  multiply complete, coefficients have about 28.00 million bits
Sat Nov 26 14:40:10 2022  initial square root is modulo 110196791
Sat Nov 26 14:40:30 2022  sqrtTime: 47
Sat Nov 26 14:40:30 2022  p42 factor: 243516644137817499152809835470638502095349
Sat Nov 26 14:40:30 2022  p111 factor: 153235977490733351430822035807524241233128134224704926879555911277302904073169359916753769207998359878397238139
Sat Nov 26 14:40:30 2022  elapsed time 00:00:47

41319580698064148786765289668104156421911469133588377778633292412784210245010780388444367167686180973435733084777789564957857015355606678596393213<146>

4284016214035561447097178959256156746784499540947143<52>
9645057029123829689005660831078503067767544372156477502970371513953802775952050134100079422491<94>

Number: n
N=41319580698064148786765289668104156421911469133588377778633292412784210245010780388444367167686180973435733084777789564957857015355606678596393213  ( 146 digits)
SNFS difficulty: 159 digits.
Divisors found:

Mon Nov 28 06:02:50 2022  p52 factor: 4284016214035561447097178959256156746784499540947143
Mon Nov 28 06:02:50 2022  p94 factor: 9645057029123829689005660831078503067767544372156477502970371513953802775952050134100079422491
Mon Nov 28 06:02:50 2022  elapsed time 00:08:53 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 67x10^158+5 = 74(157)5
#
n: 41319580698064148786765289668104156421911469133588377778633292412784210245010780388444367167686180973435733084777789564957857015355606678596393213
m: 10000000000000000000000000000000
deg: 5
c5: 13400
c0: 1
skew: 0.15
# Murphy_E = 5.306e-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, 14350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1390247 hash collisions in 13454815 relations (12886179 unique)
Msieve: matrix is 483288 x 483513 (162.0 MB)

Sieving start time : 2022/11/28 04:56:23
Sieving end time  : 2022/11/28 05:53:40

Total sieving time: 0hrs 57min 17secs.

Total relation processing time: 0hrs 3min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 26sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

22755217942344877852901464973719714452720453867111419223942241928947686842634505123263781411070689344782582396893197357843659575941777541<137>

3713549548850852705460516227366797490121068283386727133753<58>
6127619314891439919140663747390014147315968423461512018658192591132650275559597<79>

22755217942344877852901464973719714452720453867111419223942241928947686842634505123263781411070689344782582396893197357843659575941777541=3713549548850852705460516227366797490121068283386727133753*6127619314891439919140663747390014147315968423461512018658192591132650275559597

cado polynomial
n: 22755217942344877852901464973719714452720453867111419223942241928947686842634505123263781411070689344782582396893197357843659575941777541
skew: 0.09
type: snfs
c0: 1
c5: 134000
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 134000*x^5+1
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3300000
tasks.lim1 = 3300000
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: 6127619314891439919140663747390014147315968423461512018658192591132650275559597 3713549548850852705460516227366797490121068283386727133753
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 93.18/30.0498
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 75.49/62.7542
Info:Filtering - Merging: Merged matrix has 391079 rows and total weight 66776764 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 87.89/24.7519
Info:Filtering - Merging: Total cpu/real time for replay: 12.2/10.6409
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11645744
Info:Lattice Sieving: Average J: 1901.32 for 234208 special-q, max bucket fill -bkmult 1.0,1s:1.242100
Info:Lattice Sieving: Total time: 28490.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.81/103.557
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 89.6s
Info:Linear Algebra: Total cpu/real time for bwc: 2429.45/694.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1514.42, WCT time 406.63, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Linear Algebra: Lingen CPU time 46.56, WCT time 47.56
Info:Linear Algebra: Mksol: CPU time 827.5,  WCT time 223.23, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Square Root: Total cpu/real time for sqrt: 93.18/30.0498
Info:Generate Factor Base: Total cpu/real time for makefb: 1.44/0.82095
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.84/38.213
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 38.1s
Info:Quadratic Characters: Total cpu/real time for characters: 12.63/5.15064
Info:Generate Free Relations: Total cpu/real time for freerel: 64.47/19.7717
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 54759/15387.2
Info:root: Cleaning up computation data in /tmp/cado.z67_de65
6127619314891439919140663747390014147315968423461512018658192591132650275559597 3713549548850852705460516227366797490121068283386727133753

cado-nfs-3.0.0

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

380612908320336840288448181104500895571793718369088867258194673111179734584652489927359763035043117695429843018581947872058380674704367691717821<144>

1935310803291459635877148586420446911824153721064422257538695659<64>
196667588313470586569017917726148248570988382690761898262974467487717766557321719<81>

New best polynomial is:
n: 380612908320336840288448181104500895571793718369088867258194673111179734584652489927359763035043117695429843018581947872058380674704367691717821
skew: 1019384.232
c0: 3920026746956514086391752353963401
c1: 212234996175926930482335198095
c2: -458273402814513255621459
c3: -470075390620729675
c4: 184767508870
c5: 79800
Y0: -7784067550806369802205661896
Y1: 787433834495427387851
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=2.013e+14) = 5.265e-07
# f(x) = 79800*x^5+184767508870*x^4-470075390620729675*
  x^3-458273402814513255621459*x^2+212234996175926930482335198095*
        x+3920026746956514086391752353963401
# g(x) = 787433834495427387851*x-7784067550806369802205661896
Factors: 
        1935310803291459635877148586420446911824153721064422257538695659 
        96667588313470586569017917726148248570988382690761898262974467487717766557321719
Total cpu/elapsed time for entire Complete Factorization 1.3541e+06/191652

CADO-NFS v3.0.0

Ubuntu v20.04.4 LTS, Intel Xeon E5-1650.

6894885994955435979254380301573492246256072066698993957243168943331700842709615718920177540192034890548119027292958475947<121>

841814169473385554179283648836618121701<39>
8190508362752644092098505279458518148639238193477075221519107137012713256541556047<82>

6894885994955435979254380301573492246256072066698993957243168943331700842709615718920177540192034890548119027292958475947=841814169473385554179283648836618121701*8190508362752644092098505279458518148639238193477075221519107137012713256541556047

cado polynomial
n: 6894885994955435979254380301573492246256072066698993957243168943331700842709615718920177540192034890548119027292958475947
skew: 17142.159
c0: 1593846468494553860461831860
c1: -96185793692843961044244
c2: -17892614915137382017
c3: 521335819656991
c4: 24689239668
c5: 997920
Y0: -151534060237697339776673
Y1: 224113585444731743
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.348e-06
# f(x) = 997920*x^5+24689239668*x^4+521335819656991*x^3-17892614915137382017*x^2-96185793692843961044244*x+1593846468494553860461831860
# g(x) = 224113585444731743*x-151534060237697339776673

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 841814169473385554179283648836618121701 8190508362752644092098505279458518148639238193477075221519107137012713256541556047
Info:Square Root: Total cpu/real time for sqrt: 450.08/131.855
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20307/35.860/43.242/48.050/1.033
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16357/35.090/38.272/43.700/0.849
Info:Polynomial Selection (size optimized): Total time: 2250.14
Info:Linear Algebra: Total cpu/real time for bwc: 5395.79/1403.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3287.1, WCT time 852.07, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23552 iterations)
Info:Linear Algebra: Lingen CPU time 131.57, WCT time 33.47
Info:Linear Algebra: Mksol: CPU time 1900.05,  WCT time 491.3, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 23.83/9.28974
Info:Generate Free Relations: Total cpu/real time for freerel: 127.19/33.2416
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 173.03/156.365
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 135.50000000000003s
Info:Square Root: Total cpu/real time for sqrt: 450.08/131.855
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.65/97.8022
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.2/57.5646
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.3s
Info:Filtering - Merging: Merged matrix has 753135 rows and total weight 75427366 (100.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 56.63/18.5026
Info:Filtering - Merging: Total cpu/real time for replay: 18.64/14.7888
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/1.41139
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13765966
Info:Lattice Sieving: Average J: 1895.53 for 293188 special-q, max bucket fill -bkmult 1.0,1s:1.270390
Info:Lattice Sieving: Total time: 35360.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2091.69
Info:Polynomial Selection (root optimized): Rootsieve time: 2089.3
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 76146.6/20782.2
Info:root: Cleaning up computation data in /tmp/cado.8jyr1_0a
841814169473385554179283648836618121701 8190508362752644092098505279458518148639238193477075221519107137012713256541556047

cado-nfs-3.0.0

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

61823231694094958638412527047663866166544404305480583352941447863176883647755216911883440139886595892907398949005061200385703146987040189714275168745126806830083<161>

771791834764288170122898222031155669362048102732672033<54>
80103505776238618233763413459606596862719079822859893908836960704208143609391497363862750577637098672210851<107>

Number: 74445_165
N = 61823231694094958638412527047663866166544404305480583352941447863176883647755216911883440139886595892907398949005061200385703146987040189714275168745126806830083 (161 digits)
SNFS difficulty: 167 digits.
Divisors found:
r1=771791834764288170122898222031155669362048102732672033 (pp54)
r2=80103505776238618233763413459606596862719079822859893908836960704208143609391497363862750577637098672210851 (pp107)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 1.41 hours.
Factorization parameters were as follows:
n: 61823231694094958638412527047663866166544404305480583352941447863176883647755216911883440139886595892907398949005061200385703146987040189714275168745126806830083
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 67
c0: 5
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 8000748
Relations: 1412728 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 0.60 hours.
Total relation processing time: 0.08 hours.
Pruned matrix : 1222928 x 1223153
Matrix solve time: 0.69 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: snfs,167,3,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 1.41 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

106567670072855703398315753644176911875694379827853448776340704794034119150607952652143242854200316999054410748383392303428377379978161580446264047646882458245753<162>

469228672945041552875274465114371521535369759663<48>
227112442647633024269454551794508715774607310140397118667946678855759279808035350034654050227254917799050086137431<114>

Number: n
N=106567670072855703398315753644176911875694379827853448776340704794034119150607952652143242854200316999054410748383392303428377379978161580446264047646882458245753  ( 162 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue Nov 29 17:47:02 2022  p48 factor: 469228672945041552875274465114371521535369759663
Tue Nov 29 17:47:02 2022  p114 factor: 227112442647633024269454551794508715774607310140397118667946678855759279808035350034654050227254917799050086137431
Tue Nov 29 17:47:02 2022  elapsed time 00:11:07 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 67x10^166+5 = 74(165)5
#
n: 106567670072855703398315753644176911875694379827853448776340704794034119150607952652143242854200316999054410748383392303428377379978161580446264047646882458245753
m: 1000000000000000000000000000000000
deg: 5
c5: 134
c0: 1
skew: 0.38
# Murphy_E = 3.125e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1621413 hash collisions in 13637354 relations (12799523 unique)
Msieve: matrix is 553401 x 553627 (190.9 MB)

Sieving start time : 2022/11/29 16:32:16
Sieving end time  : 2022/11/29 17:35:02

Total sieving time: 1hrs 2min 46secs.

Total relation processing time: 0hrs 4min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 34sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

46836319353708003485223545400758209707878266967633617170167145473618351235313502362939362452796981706825754161337578650833<122>

38702955700176295376238377098569576814151<41>
1210148385475754760515663474647775870784595020822973027455561016307516932922681383<82>

46836319353708003485223545400758209707878266967633617170167145473618351235313502362939362452796981706825754161337578650833=38702955700176295376238377098569576814151*1210148385475754760515663474647775870784595020822973027455561016307516932922681383

cado polynomial
n: 46836319353708003485223545400758209707878266967633617170167145473618351235313502362939362452796981706825754161337578650833
skew: 31304.425
c0: -941979901049897318072150310
c1: -142302666454291792788933
c2: -8145923842241428348
c3: 510230560641509
c4: 4704068274
c5: 28080
Y0: -397296609740985555917584
Y1: 25966762287388679
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.262e-06
# f(x) = 28080*x^5+4704068274*x^4+510230560641509*x^3-8145923842241428348*x^2-142302666454291792788933*x-941979901049897318072150310
# g(x) = 25966762287388679*x-397296609740985555917584

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1210148385475754760515663474647775870784595020822973027455561016307516932922681383 38702955700176295376238377098569576814151
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 487.75/143.731
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 25.29/10.2529
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.95/52.3908
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 130.02/121.709
Info:Filtering - Merging: Merged matrix has 802991 rows and total weight 81107725 (101.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 65.51/20.7948
Info:Filtering - Merging: Total cpu/real time for replay: 19.34/15.9676
Info:Generate Factor Base: Total cpu/real time for makefb: 4.84/1.30793
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 14031819
Info:Lattice Sieving: Average J: 1894.31 for 349893 special-q, max bucket fill -bkmult 1.0,1s:1.275140
Info:Lattice Sieving: Total time: 40277.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 231/266.677
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 213.8s
Info:Linear Algebra: Total cpu/real time for bwc: 7143.7/1974.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4422.05, WCT time 1163.88, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 106.76, WCT time 108.84
Info:Linear Algebra: Mksol: CPU time 2512.6,  WCT time 667.3, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2351.72
Info:Polynomial Selection (root optimized): Rootsieve time: 2349.27
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21512.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14915/36.260/43.554/47.650/1.063
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11972/34.230/38.512/43.980/0.817
Info:Polynomial Selection (size optimized): Total time: 2050.99
Info:Square Root: Total cpu/real time for sqrt: 487.75/143.731
Info:Generate Free Relations: Total cpu/real time for freerel: 125.11/33.6622
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 87642.2/23838.3
Info:root: Cleaning up computation data in /tmp/cado.p2_qw2i4
1210148385475754760515663474647775870784595020822973027455561016307516932922681383 38702955700176295376238377098569576814151

cado-nfs-3.0.0

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

148888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<171>

31683628324849896932367573894358323939348927949<47>
442462963449729692183479986604803639504022332047<48>
10620634302758434788550744017565172001565523081433971614232808866117663689363<77>

Number: n
N=148888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 171 digits)
SNFS difficulty: 171 digits.
Divisors found:

Mon Nov 28 20:23:37 2022  found factor: 31683628324849896932367573894358323939348927949
Mon Nov 28 20:24:28 2022  p47 factor: 31683628324849896932367573894358323939348927949
Mon Nov 28 20:24:28 2022  p48 factor: 442462963449729692183479986604803639504022332047
Mon Nov 28 20:24:28 2022  p77 factor: 10620634302758434788550744017565172001565523081433971614232808866117663689363
Mon Nov 28 20:24:28 2022  elapsed time 00:14:14 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 67x10^170+5 = 74(169)5
#
n: 148888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 10000000000000000000000000000000000
deg: 5
c5: 67
c0: 5
skew: 0.60
# Murphy_E = 2.685e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 36950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1015471 hash collisions in 13967926 relations (13929664 unique)
Msieve: matrix is 797934 x 798159 (276.4 MB)

Sieving start time : 2022/11/28 10:03:17
Sieving end time  : 2022/11/28 20:07:23

Total sieving time: 10hrs 4min 6secs.

Total relation processing time: 0hrs 8min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 42sec.

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

17705718607521416565835358618344321719888776018537787639409761529444206563309785371042366406103419561172693164351126993394955445184017<134>

352234266313574021851769729357125832310248378724479<51>
50266882869820018982463411160752881341877343837854747131868411576898206680620999023<83>

17705718607521416565835358618344321719888776018537787639409761529444206563309785371042366406103419561172693164351126993394955445184017=352234266313574021851769729357125832310248378724479*50266882869820018982463411160752881341877343837854747131868411576898206680620999023

cado polynomial
n: 17705718607521416565835358618344321719888776018537787639409761529444206563309785371042366406103419561172693164351126993394955445184017
skew: 0.38
type: snfs
c0: 1
c5: 134
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 134*x^5+1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5200000
tasks.lim1 = 5200000
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: 50266882869820018982463411160752881341877343837854747131868411576898206680620999023 352234266313574021851769729357125832310248378724479
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.44/0.61785
Info:Generate Free Relations: Total cpu/real time for freerel: 48.58/6.28335
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12058272
Info:Lattice Sieving: Average J: 1892.5 for 539080 special-q, max bucket fill -bkmult 1.0,1s:1.127540
Info:Lattice Sieving: Total time: 71456s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.24/21.9966
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 180.66/76.1732
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 64.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 126.44/59.9664
Info:Filtering - Merging: Merged matrix has 893115 rows and total weight 152359982 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 201.36/29.5093
Info:Filtering - Merging: Total cpu/real time for replay: 29.75/24.3969
Info:Linear Algebra: Total cpu/real time for bwc: 8107.67/2116
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1329.68, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (28160 iterations)
Info:Linear Algebra: Lingen CPU time 90.35, WCT time 24.58
Info:Linear Algebra: Mksol: WCT time 731.94, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 42.59/10.64
Info:Square Root: Total cpu/real time for sqrt: 240.67/46.8921
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 174099/38218.7
Info:root: Cleaning up computation data in /tmp/cado.o2hjrltm
50266882869820018982463411160752881341877343837854747131868411576898206680620999023 352234266313574021851769729357125832310248378724479

cado-nfs-3.0.0

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

3081073903581263348808505293590863303212876100793530042157100097597743256373817606743237934330835003575180383631871701175614342368213966159916312334724006471<157>

270297136576523372067595727567099123123333627<45>
1097796264358116581455940934237045666274703808071469293<55>
10383384155888392457233633987589341880976532407544111707161<59>

Number: n
N=3081073903581263348808505293590863303212876100793530042157100097597743256373817606743237934330835003575180383631871701175614342368213966159916312334724006471  ( 157 digits)
SNFS difficulty: 173 digits.
Divisors found:

Fri Dec  2 21:47:18 2022  found factor: 1097796264358116581455940934237045666274703808071469293
Fri Dec  2 21:48:13 2022  p45 factor: 270297136576523372067595727567099123123333627
Fri Dec  2 21:48:13 2022  p55 factor: 1097796264358116581455940934237045666274703808071469293
Fri Dec  2 21:48:13 2022  p59 factor: 10383384155888392457233633987589341880976532407544111707161
Fri Dec  2 21:48:13 2022  elapsed time 00:13:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 67x10^172+5 = 74(171)5
#
n: 3081073903581263348808505293590863303212876100793530042157100097597743256373817606743237934330835003575180383631871701175614342368213966159916312334724006471
m: 10000000000000000000000000000000000
deg: 5
c5: 1340
c0: 1
skew: 0.24
# Murphy_E = 1.703e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1632759 hash collisions in 13307984 relations (12421348 unique)
Msieve: matrix is 773583 x 773808 (266.6 MB)

Sieving start time : 2022/12/02 20:34:33
Sieving end time  : 2022/12/02 21:34:00

Total sieving time: 0hrs 59min 27secs.

Total relation processing time: 0hrs 8min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 50sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

193362527949252703284555991963516704396054056046500784504099942370856652946777367839155699436012495178022967407587052332766954897144873535825523159049252827263<159>

13079030763287094710386305829734960077719<41>
14784163402384700712110752185256636378232673951381547423235998522886103222286639748757118648711954717108925678628409177<119>

Number: n
N=193362527949252703284555991963516704396054056046500784504099942370856652946777367839155699436012495178022967407587052332766954897144873535825523159049252827263  ( 159 digits)
SNFS difficulty: 174 digits.
Divisors found:

Fri Dec  2 05:19:41 2022  p41 factor: 13079030763287094710386305829734960077719
Fri Dec  2 05:19:41 2022  p119 factor: 14784163402384700712110752185256636378232673951381547423235998522886103222286639748757118648711954717108925678628409177
Fri Dec  2 05:19:41 2022  elapsed time 00:17:11 (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 = 67x10^173+5 = 74(172)5
#
n: 193362527949252703284555991963516704396054056046500784504099942370856652946777367839155699436012495178022967407587052332766954897144873535825523159049252827263
m: 10000000000000000000000000000000000
deg: 5
c5: 13400
c0: 1
skew: 0.15
# Murphy_E = 1.367e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1668922 hash collisions in 12919441 relations (11946209 unique)
Msieve: matrix is 878816 x 879041 (304.0 MB)

Sieving start time : 2022/12/02 03:50:50
Sieving end time  : 2022/12/02 05:02:12

Total sieving time: 1hrs 11min 22secs.

Total relation processing time: 0hrs 11min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 12sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

10156636967997406313804132609148349124248653775679986121708620544744413368174936054351614703722238517740279902366821144473725715379<131>

170609400460644532336750515666982805820033659267157401<54>
59531520189242427656006837635185617377618978455649826322294069220250870100779<77>

n: 10156636967997406313804132609148349124248653775679986121708620544744413368174936054351614703722238517740279902366821144473725715379
skew: 117504.954
c0: 2490782207464327128582115485892
c1: 63048893510977228042476064
c2: -845097792799563408815
c3: -7677653653597429
c4: 42764378188
c5: 61680
Y0: -1137580109825791533978432
Y1: 105818686521219569011
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.181e+13) = 1.942e-06
# f(x) = 61680*x^5+42764378188*x^4-7677653653597429*
   x^3-845097792799563408815*x^2+63048893510977228042476064*
        x+2490782207464327128582115485892
# g(x) = 105818686521219569011*x-1137580109825791533978432

Factors: 
  170609400460644532336750515666982805820033659267157401
        59531520189242427656006837635185617377618978455649826322294069220250870100779
        
Total cpu/elapsed time for entire Complete Factorization 291746/41393.5

CADO-NFS v3.0.0

Ubuntu v20.04.4 LTS, Intel Xeon E5-1620.

3807899971582836032963910201761864165956237567490764421710713270815572605853935777209434498437055981813015061096902529127593066211992043194089229894856493321966467746518897414038079<181>

46448632094825808669306232408740393778924961<44>
81980885116464405375161135251261970362010291599855322173610759745406587706499708649399182544064656403455685299396286707920124491313308639<137>

Number: n
N=3807899971582836032963910201761864165956237567490764421710713270815572605853935777209434498437055981813015061096902529127593066211992043194089229894856493321966467746518897414038079  ( 181 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sun Dec  4 04:55:45 2022  p44 factor: 46448632094825808669306232408740393778924961
Sun Dec  4 04:55:45 2022  p137 factor: 81980885116464405375161135251261970362010291599855322173610759745406587706499708649399182544064656403455685299396286707920124491313308639
Sun Dec  4 04:55:45 2022  elapsed time 00:28:15 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 67x10^183+5 = 74(182)5
#
n: 3807899971582836032963910201761864165956237567490764421710713270815572605853935777209434498437055981813015061096902529127593066211992043194089229894856493321966467746518897414038079
m: 1000000000000000000000000000000000000
deg: 5
c5: 13400
c0: 1
skew: 0.15
# Murphy_E = 5.41e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1852493 hash collisions in 14651931 relations (13624241 unique)
Msieve: matrix is 1012491 x 1012717 (349.4 MB)

Sieving start time : 2022/12/04 00:47:07
Sieving end time  : 2022/12/04 04:27:06

Total sieving time: 3hrs 39min 59secs.

Total relation processing time: 0hrs 16min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 1sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

14896513353457669617133280344824977523689690932494928339999731871993252680888638156170884683547578310321914560342333347515690160912636300592370157296246007884905656697154311<173>

1552718632152344377223125787226069660957650504563172214624371046318021067<73>
9593826624472491082235803053832265197873657708855908319706882637025888589477488628978030194514017333<100>

Number: n
N=14896513353457669617133280344824977523689690932494928339999731871993252680888638156170884683547578310321914560342333347515690160912636300592370157296246007884905656697154311  ( 173 digits)
SNFS difficulty: 185 digits.
Divisors found:

Wed Dec  7 06:35:08 2022  p73 factor: 1552718632152344377223125787226069660957650504563172214624371046318021067
Wed Dec  7 06:35:08 2022  p100 factor: 9593826624472491082235803053832265197873657708855908319706882637025888589477488628978030194514017333
Wed Dec  7 06:35:08 2022  elapsed time 00:23:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 67x10^184+5 = 74(183)5
#
n: 14896513353457669617133280344824977523689690932494928339999731871993252680888638156170884683547578310321914560342333347515690160912636300592370157296246007884905656697154311
m: 1000000000000000000000000000000000000
deg: 5
c5: 134000
c0: 1
skew: 0.09
# Murphy_E = 5.415e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1541665 hash collisions in 13580265 relations (12835864 unique)
Msieve: matrix is 1020190 x 1020415 (355.6 MB)

Sieving start time : 2022/12/07 03:06:45
Sieving end time  : 2022/12/07 06:11:19

Total sieving time: 3hrs 4min 34secs.

Total relation processing time: 0hrs 16min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8500000,8500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6398115767238087727852071366262337643038086054222113591978258959758764188517623751388470376518004152126402386864591594702511224789034902640368877469<148>

9987092738261433498351307863659219157817763<43>
640638465559285504716467117647192043734192114286527332234170819942840016535345104063057704196836526396863<105>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6398115767238087727852071366262337643038086054222113591978258959758764188517623751388470376518004152126402386864591594702511224789034902640368877469 (148 digits)
Using B1=30800000, B2=144289975846, polynomial Dickson(12), sigma=1:2250112188
Step 1 took 61755ms
Step 2 took 22859ms
********** Factor found in step 2: 9987092738261433498351307863659219157817763
Found prime factor of 43 digits: 9987092738261433498351307863659219157817763
Prime cofactor 640638465559285504716467117647192043734192114286527332234170819942840016535345104063057704196836526396863 has 105 digits

4704294083875392990672711277318319267086068787514840557191491771846547567602097348637182790011848815112118079895681542929470481445021728196621<142>

34874872568135948982017060880402521168456191404380655688127<59>
134890645827722834783228402974547595906739873732629171725394476717118736823917091123<84>

4704294083875392990672711277318319267086068787514840557191491771846547567602097348637182790011848815112118079895681542929470481445021728196621=34874872568135948982017060880402521168456191404380655688127*134890645827722834783228402974547595906739873732629171725394476717118736823917091123

cado polynomial
n: 4704294083875392990672711277318319267086068787514840557191491771846547567602097348637182790011848815112118079895681542929470481445021728196621
skew: 0.38
type: snfs
c0: 1
c5: 134
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 134*x^5+1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9200000
tasks.lim1 = 9200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 34874872568135948982017060880402521168456191404380655688127 134890645827722834783228402974547595906739873732629171725394476717118736823917091123
Info:Square Root: Total cpu/real time for sqrt: 484.56/158.06
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24402006
Info:Lattice Sieving: Average J: 1894.23 for 1671031 special-q, max bucket fill -bkmult 1.0,1s:1.168740
Info:Lattice Sieving: Total time: 301317s
Info:Linear Algebra: Total cpu/real time for bwc: 54932.6/14145
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 35201.84, WCT time 9007.76, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56832 iterations)
Info:Linear Algebra: Lingen CPU time 354.23, WCT time 90.13
Info:Linear Algebra: Mksol: CPU time 19038.04,  WCT time 4915.38, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28416 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.91/2.02097
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 417.75/452.596
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 380.0s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.45/31.2521
Info:Square Root: Total cpu/real time for sqrt: 484.56/158.06
Info:Quadratic Characters: Total cpu/real time for characters: 65.5/29.6012
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.15/100.099
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 99.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 288/275.486
Info:Filtering - Merging: Merged matrix has 1813414 rows and total weight 309632534 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 474.81/130.341
Info:Filtering - Merging: Total cpu/real time for replay: 68.17/60.1335
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 622913/165922
Info:root: Cleaning up computation data in /tmp/cado.bskry2wh
34874872568135948982017060880402521168456191404380655688127 134890645827722834783228402974547595906739873732629171725394476717118736823917091123

cado-nfs-3.0.0

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

22153612808150658980087155167740933873579664877133895764322500344142956979068000972950287449867423719513653771249175672661853477519876848202268028133483293<155>

19999480695431955280497685950832130579489<41>
1107709402335167885942527652344862655595464272597835677805724003228710521819934379223852717712443816640283877459837<115>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 22153612808150658980087155167740933873579664877133895764322500344142956979068000972950287449867423719513653771249175672661853477519876848202268028133483293 (155 digits)
Using B1=33340000, B2=144292738606, polynomial Dickson(12), sigma=1:1513405359
Step 1 took 80681ms
Step 2 took 24850ms
********** Factor found in step 2: 19999480695431955280497685950832130579489
Found prime factor of 41 digits: 19999480695431955280497685950832130579489
Prime cofactor 1107709402335167885942527652344862655595464272597835677805724003228710521819934379223852717712443816640283877459837 has 115 digits

11247221270603546309335212944142397663730966827028558782139697449387138611471910472442131298428131177213220514355401116081986333360111871103359275221280663<155>

527403659783759716092763559548006507213197318498932453673657041<63>
21325641303314066950668743037942928000082175054615785157110392181193884938139473238469651943<92>

Number: n
N=11247221270603546309335212944142397663730966827028558782139697449387138611471910472442131298428131177213220514355401116081986333360111871103359275221280663  ( 155 digits)
SNFS difficulty: 189 digits.
Divisors found:

Fri Dec 23 23:31:12 2022  p63 factor: 527403659783759716092763559548006507213197318498932453673657041
Fri Dec 23 23:31:12 2022  p92 factor: 21325641303314066950668743037942928000082175054615785157110392181193884938139473238469651943
Fri Dec 23 23:31:12 2022  elapsed time 00:35:39 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 67x10^188+5 = 74(187)5
#
n: 11247221270603546309335212944142397663730966827028558782139697449387138611471910472442131298428131177213220514355401116081986333360111871103359275221280663
m: 10000000000000000000000000000000000000
deg: 5
c5: 13400
c0: 1
skew: 0.15
# Murphy_E = 3.38e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2083859 hash collisions in 14567246 relations (13226685 unique)
Msieve: matrix is 1276436 x 1276661 (441.5 MB)

Sieving start time : 2022/12/23 17:10:08
Sieving end time  : 2022/12/23 22:55:10

Total sieving time: 5hrs 45min 2secs.

Total relation processing time: 0hrs 27min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 38sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

95026393397475964239782246023417489348658153323110984798472579052144757238812369453972731180732513575086401218257753595942383811793790427824192847<146>

39210452294551536889131665673058595516779281740071186461641<59>
2423496487202732304356135296760329068027851711809184384907084443694329367585155268346967<88>

95026393397475964239782246023417489348658153323110984798472579052144757238812369453972731180732513575086401218257753595942383811793790427824192847=39210452294551536889131665673058595516779281740071186461641*2423496487202732304356135296760329068027851711809184384907084443694329367585155268346967

cado polynomial
n: 95026393397475964239782246023417489348658153323110984798472579052144757238812369453972731180732513575086401218257753595942383811793790427824192847
skew: 0.09
type: snfs
c0: 1
c5: 134000
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 134000*x^5+1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10300000
tasks.lim1 = 10300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 39210452294551536889131665673058595516779281740071186461641 2423496487202732304356135296760329068027851711809184384907084443694329367585155268346967
Info:Square Root: Total cpu/real time for sqrt: 624.4/197.746
Info:Generate Factor Base: Total cpu/real time for makefb: 4.48/2.23647
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25268226
Info:Lattice Sieving: Average J: 1901.63 for 2057283 special-q, max bucket fill -bkmult 1.0,1s:1.140150
Info:Lattice Sieving: Total time: 394471s
Info:Linear Algebra: Total cpu/real time for bwc: 63329.3/16324.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 40619.4, WCT time 10382.46, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60928 iterations)
Info:Linear Algebra: Lingen CPU time 389.04, WCT time 99.12
Info:Linear Algebra: Mksol: CPU time 21947.13,  WCT time 5658.34, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30464 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 456.35/476.683
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 392.1000000000001s
Info:Square Root: Total cpu/real time for sqrt: 624.4/197.746
Info:Generate Free Relations: Total cpu/real time for freerel: 120.64/31.6631
Info:Quadratic Characters: Total cpu/real time for characters: 67.64/30.6722
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 109.78/106.52
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.80000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 331.81/317.049
Info:Filtering - Merging: Merged matrix has 1946192 rows and total weight 332911613 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 516.23/141.193
Info:Filtering - Merging: Total cpu/real time for replay: 72.32/63.3505
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 807147/214837
Info:root: Cleaning up computation data in /tmp/cado.0q3dl3yg
39210452294551536889131665673058595516779281740071186461641 2423496487202732304356135296760329068027851711809184384907084443694329367585155268346967

cado-nfs-3.0.0

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

756324833523618203293955222636023473582804530434149477724533580417258008270927156176080715078728457060392093497031366434481703146105531054443538537082549<153>

33215242732355429031812198037201889681363032554089703<53>
22770414162497499493938546183071600681543691879606407320943013890984149733687327142414691894322452483<101>

Number: n
N=756324833523618203293955222636023473582804530434149477724533580417258008270927156176080715078728457060392093497031366434481703146105531054443538537082549  ( 153 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed Apr  5 20:37:44 2023  prp53 factor: 33215242732355429031812198037201889681363032554089703
Wed Apr  5 20:37:44 2023  prp101 factor: 22770414162497499493938546183071600681543691879606407320943013890984149733687327142414691894322452483
Wed Apr  5 20:37:44 2023  elapsed time 00:44:51 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 67x10^190+5 = 74(189)5
#
n: 756324833523618203293955222636023473582804530434149477724533580417258008270927156176080715078728457060392093497031366434481703146105531054443538537082549
m: 100000000000000000000000000000000000000
deg: 5
c5: 67
c0: 5
skew: 0.60
# Murphy_E = 4.153e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 23900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2328761 hash collisions in 18410421 relations (17220715 unique)
Msieve: matrix is 1178559 x 1178785 (334.3 MB)

Sieving start time: 2023/04/05 12:32:07
Sieving end time  : 2023/04/05 19:52:36

Total sieving time: 7hrs 20min 29secs.

Total relation processing time: 0hrs 39min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<193>

379516730114510783072201409584234570521281949<45>
3923117930636811669849371993149647502375841477140310030443075226256139513061462753014757137977021351142352067440949855270204742339202773422888810061<148>

Number: n
N=1488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 193 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Dec 12 03:13:08 2022  p45 factor: 379516730114510783072201409584234570521281949
Mon Dec 12 03:13:08 2022  p148 factor: 3923117930636811669849371993149647502375841477140310030443075226256139513061462753014757137977021351142352067440949855270204742339202773422888810061
Mon Dec 12 03:13:08 2022  elapsed time 01:10:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 67x10^192+5 = 74(191)5
#
n: 1488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 100000000000000000000000000000000000000
deg: 5
c5: 1340
c0: 1
skew: 0.24
# Murphy_E = 2.624e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1660380 hash collisions in 13007901 relations (12055801 unique)
Msieve: matrix is 1809667 x 1809892 (631.2 MB)

Sieving start time : 2022/12/11 20:35:16
Sieving end time  : 2022/12/12 02:02:40

Total sieving time: 5hrs 27min 24secs.

Total relation processing time: 1hrs 3min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 37sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

76400155187469531023383412354636996411783620173766243289270712454650557636880732429981595915638661421695666065476291450190671454911353956789534243774534216549427513<164>

763625042445787867496577994206422149<36>
100049305537139213493038576417114977604462488293424325156340420898734704247947268426219889164304525195955301959035001588860992037<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2331442750
Step 1 took 6390ms
Step 2 took 3141ms
********** Factor found in step 2: 763625042445787867496577994206422149
Found prime factor of 36 digits: 763625042445787867496577994206422149
Prime cofactor 100049305537139213493038576417114977604462488293424325156340420898734704247947268426219889164304525195955301959035001588860992037 has 129 digits

GMP-ECM

8450138857340922136019848996581927339695540278506326482216151567360224946215305891593787579732622453012884979956659802816091044704707368362669549681695413187266517755217541<172>

1596810462147356793927875291787295598428549<43>
5291885954941298967934584119017769813827100313906877548389276470001636081279222430235295736535875534381518870941937233664809009409<130>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8450138857340922136019848996581927339695540278506326482216151567360224946215305891593787579732622453012884979956659802816091044704707368362669549681695413187266517755217541 (172 digits)
Using B1=43610000, B2=240491351116, polynomial Dickson(12), sigma=1:2125680965
Step 1 took 101546ms
Step 2 took 35530ms
********** Factor found in step 2: 1596810462147356793927875291787295598428549
Found prime factor of 43 digits: 1596810462147356793927875291787295598428549
Prime cofactor 5291885954941298967934584119017769813827100313906877548389276470001636081279222430235295736535875534381518870941937233664809009409 has 130 digits

15652439425601079895118778026524467900675431176059332922618699278711182942541655667735175905940482330124951815643697025706118129212562921530993<143>

872504893000586841589271416991238049381<39>
17939658047958422346267493470363420464403328828179332197111613542802388807605949547321182245281380589853<104>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 15652439425601079895118778026524467900675431176059332922618699278711182942541655667735175905940482330124951815643697025706118129212562921530993 (143 digits)
Using B1=40500000, B2=192393771586, polynomial Dickson(12), sigma=1:2667015820
Step 1 took 78137ms
Step 2 took 26097ms
********** Factor found in step 2: 872504893000586841589271416991238049381
Found prime factor of 39 digits: 872504893000586841589271416991238049381
Prime cofactor 17939658047958422346267493470363420464403328828179332197111613542802388807605949547321182245281380589853 has 104 digits

402732013592461140153803841083763129316926915420255502008202453081262169528731729945634663354746640086925268903326533460719629380337151279898449641887080627120922034647997<171>

7123252307418465710324637533020283933225321053<46>
56537659514466229380044087890498333799714182338799488254699762358456337271459467197810359308583414453918961994515308172058849<125>

Number: n
N=402732013592461140153803841083763129316926915420255502008202453081262169528731729945634663354746640086925268903326533460719629380337151279898449641887080627120922034647997  ( 171 digits)
SNFS difficulty: 205 digits.
Divisors found:

Tue Oct  3 14:22:43 2023  prp46 factor: 7123252307418465710324637533020283933225321053
Tue Oct  3 14:22:43 2023  prp125 factor: 56537659514466229380044087890498333799714182338799488254699762358456337271459467197810359308583414453918961994515308172058849
Tue Oct  3 14:22:43 2023  elapsed time 03:08:14 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# N = 67x10^204+5 = 74(203)5
#
n: 402732013592461140153803841083763129316926915420255502008202453081262169528731729945634663354746640086925268903326533460719629380337151279898449641887080627120922034647997
m: 10000000000000000000000000000000000000000
deg: 5
c5: 134000
c0: 1
skew: 0.09
# Murphy_E = 8.036e-12
type: snfs
lss: 1
rlim: 18400000
alim: 18400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18400000/18400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3416759 hash collisions in 18198253 relations (15443000 unique)
Msieve: matrix is 2439393 x 2439618 (688.9 MB)

Sieving start time: 2023/10/02 17:22:37
Sieving end time  : 2023/10/03 11:14:08

Total sieving time: 17hrs 51min 31secs.

Total relation processing time: 2hrs 59min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 24sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18400000,18400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

213772681500863537937559775587820234468110516073256834938790101182598450655370407674235065110612127384843647697707305539406943850387711057249967284005478515231311533529120393854788397190982296160130543<201>

18031026443998606847845214243443331476621625512846476881<56>
424154031875911893474146737740858067554723673968948142832486898022225513<72>
27951695400250706366897443844011724026441541709505226428963968957998589031<74>

YAFU

08/28/24 10:58:13 v1.34.5 @ GEEKOM,
08/28/24 10:58:13 v1.34.5 @ GEEKOM, ****************************
08/28/24 10:58:13 v1.34.5 @ GEEKOM, Starting factorization of 67000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005
08/28/24 10:58:13 v1.34.5 @ GEEKOM, using pretesting plan: normal
08/28/24 10:58:13 v1.34.5 @ GEEKOM, no tune info: using qs/gnfs crossover of 100 digits
08/28/24 10:58:13 v1.34.5 @ GEEKOM, ****************************
08/28/24 10:58:13 v1.34.5 @ GEEKOM, div: found prime factor = 3
08/28/24 10:58:13 v1.34.5 @ GEEKOM, div: found prime factor = 3
08/28/24 10:58:13 v1.34.5 @ GEEKOM, div: found prime factor = 5
08/28/24 10:58:13 v1.34.5 @ GEEKOM, rho: x^2 + 3, starting 1000 iterations on C208
08/28/24 10:58:13 v1.34.5 @ GEEKOM, rho: x^2 + 2, starting 1000 iterations on C208
08/28/24 10:58:13 v1.34.5 @ GEEKOM, rho: x^2 + 1, starting 1000 iterations on C208
08/28/24 10:58:13 v1.34.5 @ GEEKOM, prp7 = 6964823
08/28/24 10:58:13 v1.34.5 @ GEEKOM, rho: x^2 + 1, starting 1000 iterations on C201
08/28/24 10:58:13 v1.34.5 @ GEEKOM, pm1: starting B1 = 150K, B2 = gmp-ecm default on C201
08/28/24 10:58:13 v1.34.5 @ GEEKOM, current ECM pretesting depth: 0.00
08/28/24 10:58:13 v1.34.5 @ GEEKOM, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.85
08/28/24 10:58:13 v1.34.5 @ GEEKOM, Finished 30 curves using Lenstra ECM method on C201 input, B1=2K, B2=gmp-ecm default
08/28/24 10:58:13 v1.34.5 @ GEEKOM, current ECM pretesting depth: 15.18
08/28/24 10:58:13 v1.34.5 @ GEEKOM, scheduled 74 curves at B1=11000 toward target pretesting depth of 61.85
08/28/24 10:58:16 v1.34.5 @ GEEKOM, Finished 74 curves using Lenstra ECM method on C201 input, B1=11K, B2=gmp-ecm default
08/28/24 10:58:16 v1.34.5 @ GEEKOM, current ECM pretesting depth: 20.24
08/28/24 10:58:16 v1.34.5 @ GEEKOM, scheduled 214 curves at B1=50000 toward target pretesting depth of 61.85
08/28/24 10:59:14 v1.34.5 @ GEEKOM, nfs: commencing nfs on c209: 67000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005
08/28/24 10:59:14 v1.34.5 @ GEEKOM, nfs: input divides 67*10^207 + 5
08/28/24 10:59:14 v1.34.5 @ GEEKOM, nfs: using supplied cofactor: 213772681500863537937559775587820234468110516073256834938790101182598450655370407674235065110612127384843647697707305539406943850387711057249967284005478515231311533529120393854788397190982296160130543
08/28/24 10:59:14 v1.34.5 @ GEEKOM, nfs: commencing snfs on c201: 213772681500863537937559775587820234468110516073256834938790101182598450655370407674235065110612127384843647697707305539406943850387711057249967284005478515231311533529120393854788397190982296160130543
08/28/24 10:59:14 v1.34.5 @ GEEKOM, gen: best 3 polynomials:
n: 213772681500863537937559775587820234468110516073256834938790101182598450655370407674235065110612127384843647697707305539406943850387711057249967284005478515231311533529120393854788397190982296160130543
# 67*10^207+5, difficulty: 210.83, anorm: 7.32e+031, rnorm: 2.05e+047
# scaled difficulty: 213.40, suggest sieving rational side
# size = 1.526e-014, alpha = 1.082, combined = 6.169e-012, rroots = 1
type: snfs
size: 210
skew: 0.2369
c5: 1340
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 213772681500863537937559775587820234468110516073256834938790101182598450655370407674235065110612127384843647697707305539406943850387711057249967284005478515231311533529120393854788397190982296160130543
# 67*10^207+5, difficulty: 209.73, anorm: 1.04e+032, rnorm: 2.91e+047
# scaled difficulty: 212.30, suggest sieving rational side
# size = 1.308e-014, alpha = 0.851, combined = 5.610e-012, rroots = 1
type: snfs
size: 209
skew: 0.4738
c5: 335
c0: 8
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 213772681500863537937559775587820234468110516073256834938790101182598450655370407674235065110612127384843647697707305539406943850387711057249967284005478515231311533529120393854788397190982296160130543
# 67*10^207+5, difficulty: 211.83, anorm: 2.32e+038, rnorm: 2.21e+040
# scaled difficulty: 211.83, suggest sieving algebraic side
# size = 1.946e-010, alpha = -0.746, combined = 5.377e-012, rroots = 0
type: snfs
size: 211
skew: 0.2052
c6: 13400
c0: 1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
08/28/24 10:59:16 v1.34.5 @ GEEKOM, test: fb generation took 2.1613 seconds
08/28/24 10:59:16 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.2369
c5: 1340
c0: 1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
08/28/24 11:02:34 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
08/28/24 11:02:36 v1.34.5 @ GEEKOM, test: fb generation took 2.0165 seconds
08/28/24 11:02:36 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.4738
c5: 335
c0: 8
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/28/24 11:05:51 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
08/28/24 11:05:54 v1.34.5 @ GEEKOM, test: fb generation took 3.2061 seconds
08/28/24 11:05:54 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 2 on the algebraic side over range 22600000-22602000
skew: 0.2052
c6: 13400
c0: 1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
08/28/24 11:09:46 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
08/28/24 11:09:46 v1.34.5 @ GEEKOM, gen: selected polynomial:
n: 213772681500863537937559775587820234468110516073256834938790101182598450655370407674235065110612127384843647697707305539406943850387711057249967284005478515231311533529120393854788397190982296160130543
# 67*10^207+5, difficulty: 209.73, anorm: 1.04e+032, rnorm: 2.91e+047
# scaled difficulty: 212.30, suggest sieving rational side
# size = 1.308e-014, alpha = 0.851, combined = 5.610e-012, rroots = 1
type: snfs
size: 209
skew: 0.4738
c5: 335
c0: 8
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
08/30/24 22:24:06 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/30/24 22:25:55 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 22131245
08/31/24 01:43:07 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/31/24 01:45:02 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 23245369
08/31/24 05:25:01 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/31/24 05:27:02 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 24483277
08/31/24 09:30:22 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/31/24 09:32:25 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 25841685
08/31/24 13:36:03 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/31/24 13:38:14 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 27183527
08/31/24 18:04:58 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/31/24 18:08:51 v1.34.5 @ GEEKOM, nfs: commencing msieve linear algebra
08/31/24 22:21:34 v1.34.5 @ GEEKOM, nfs: commencing msieve sqrt
08/31/24 22:24:43 v1.34.5 @ GEEKOM, prp72 = 424154031875911893474146737740858067554723673968948142832486898022225513
08/31/24 22:24:43 v1.34.5 @ GEEKOM, C129 = 503997758916514709766530201795734593880197523987895069724576868428375097260785602299848316389546515967886807662620424517361692311
08/31/24 22:24:43 v1.34.5 @ GEEKOM, NFS elapsed time = 300328.9783 seconds.
08/31/24 22:24:43 v1.34.5 @ GEEKOM,
08/31/24 22:24:43 v1.34.5 @ GEEKOM,
08/28/24 11:09:46 v1.34.5 @ GEEKOM, test: test sieving took 631.45 seconds


CADO:

STA:Sat Aug 31 11:15:43 PM AEST 2024 (503997758916514709766530201795734593880197523987895069724576868428375097260785602299848316389546515967886807662620424517361692311 - C129)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 503997758916514709766530201795734593880197523987895069724576868428375097260785602299848316389546515967886807662620424517361692311 2>&1 | tee -a log-62

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.j7c3g5wl
Info:Database: Opened connection to database /tmp/cado.j7c3g5wl/c130.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 503997758916514709766530201795734593880197523987895069724576868428375097260785602299848316389546515967886807662620424517361692311
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado.j7c3g5wl/c130.parameters_snapshot.0
Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,VM9
Info:Lattice Sieving: param rels_wanted is 30000000
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 503997758916514709766530201795734593880197523987895069724576868428375097260785602299848316389546515967886807662620424517361692311
skew: 55321.576
c0: 87399254690813647599186548202
c1: 973308179716498549843373
c2: -235766291296649909346
c3: -1381092110864273
c4: 45774414864
c5: 13860
Y0: 6206618447193821107785052
Y1: 52521716825344803679
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.861e-06
# f(x) = 13860*x^5+45774414864*x^4-1381092110864273*x^3-235766291296649909346*x^2+973308179716498549843373*x+87399254690813647599186548202
# g(x) = 52521716825344803679*x+6206618447193821107785052
Info:Polynomial Selection (root optimized): Best overall polynomial was 15-th in list after size optimization
===
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 18031026443998606847845214243443331476621625512846476881 27951695400250706366897443844011724026441541709505226428963968957998589031
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2097.4/248.649
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55285.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38645/37.840/47.182/57.060/1.841
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32089/37.020/41.279/49.550/1.189
Info:Polynomial Selection (size optimized): Total time: 5087.16
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32502030
Info:Lattice Sieving: Average J: 3815.73 for 219866 special-q, max bucket fill -bkmult 1.0,1s:1.232150
Info:Lattice Sieving: Total time: 109552s
Info:Generate Free Relations: Total cpu/real time for freerel: 213.85/25.4099
Info:Filtering - Singleton removal: Total cpu/real time for purge: 251.83/299.192
Info:Linear Algebra: Total cpu/real time for bwc: 9861.94/1439.13
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5699.53, WCT time 806.41, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (36000 iterations)
Info:Linear Algebra: Lingen CPU time 44.34, WCT time 44.82
Info:Linear Algebra: Mksol: CPU time 3278.93,  WCT time 472.42, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18000 iterations)
Info:Square Root: Total cpu/real time for sqrt: 2097.4/248.649
Info:Quadratic Characters: Total cpu/real time for characters: 30.83/8.09268
Info:Generate Factor Base: Total cpu/real time for makefb: 2.02/0.373932
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 128.7/122.724
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 121.89999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 469.66/464.238
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 327.1s
Info:Filtering - Merging: Total cpu/real time for merge: 65.77/12.1462
Info:Filtering - Merging: Total cpu/real time for replay: 17.7/15.2811
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 487.39
Info:Polynomial Selection (root optimized): Rootsieve time: 487.03
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 122278/15029.2 [04:10:29]
Info:root: Cleaning up computation data in /tmp/cado.j7c3g5wl
18031026443998606847845214243443331476621625512846476881 27951695400250706366897443844011724026441541709505226428963968957998589031

END:Sun Sep 1 03:26:13 AM AEST 2024 (503997758916514709766530201795734593880197523987895069724576868428375097260785602299848316389546515967886807662620424517361692311 - C129)

YAFU and CADO-NFS

44238142379576457059110652400713887161331071579427250185424837712714698590220888444870569422009003816465871479744945315291588956945648467041022373995463720017<158>

230436535376668012603135975904456682303829459<45>
191975384056462533937333996874793979928191942146308217555482556449075911487760791569981658957282443905980999989963<114>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 44238142379576457059110652400713887161331071579427250185424837712714698590220888444870569422009003816465871479744945315291588956945648467041022373995463720017 (158 digits)
Using B1=60180000, B2=388129104100, polynomial Dickson(30), sigma=1:1549267211
Step 1 took 142797ms
Step 2 took 58820ms
********** Factor found in step 2: 230436535376668012603135975904456682303829459
Found prime factor of 45 digits: 230436535376668012603135975904456682303829459
Prime cofactor 191975384056462533937333996874793979928191942146308217555482556449075911487760791569981658957282443905980999989963 has 114 digits

20948940545426124370249282493653973804195256486814113153086014087851972465595393352459293594182676637308740007439965731999741671983978768879658133820319157886469587528484200879239960593<185>

2674262245505526191463538557973584787154940384357960315681400914927668778868680538828738995822467910810533853205061723171364612773592100523442565784703905569058781154422553<172>

42159839110142229399853756311458641771<38>
63431509748389653328072375667324425772722676506226392841376687529013202743720144659099335569836744904073135654235153832943422895458443<134>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3670079656
Step 1 took 28123ms
Step 2 took 12643ms
********** Factor found in step 2: 42159839110142229399853756311458641771
Found prime factor of 38 digits: 42159839110142229399853756311458641771
Prime cofactor 63431509748389653328072375667324425772722676506226392841376687529013202743720144659099335569836744904073135654235153832943422895458443 has 134 digits

251470788507546330686725078725543574175414330923175929898022757009271701886870544743061370477397401392864832065770333608881699181407053403220736182433598635822167295146871426763715526968146133478040584663<204>

8866836677895030870167792824973727879449926131857613357583800524739839051481412950799228278428867272189093918500382095395342456792906413081809746943157078059917455189783764655953763003573<187>

184834965196472002612467274562604340561745213517079993903752128271941054888614235656039918807823527929585085000662600204050510375757918206971217720638712612421062688150128894489<177>

48414617807394970665784202255854821262384307129914617222438828844268040614425099133542182665026287143028308520941044244258838461594259371<137>

7585980794192030610162426537465647041463689026783879493905857<61>
6382117107976612789643636982371305714648393257530274857837949707462135607403<76>

p61 factor: 7585980794192030610162426537465647041463689026783879493905857
p76 factor: 6382117107976612789643636982371305714648393257530274857837949707462135607403

GNFS, GGNFS+Msieve 1.54

92293876945291799455851531233175362353309090901165508570635331828326087926127848482810863237099662668432528878472799953153670362502952524046364398101937259067824539<164>

5582592928596375704410338222940907<34>
16532438980553993657264689123264173053974085228129493492379970481946243213399229496329059600590396846966560960771337978100805212177<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:357623611
Step 1 took 7775ms
Step 2 took 4392ms
********** Factor found in step 2: 5582592928596375704410338222940907
Found prime factor of 34 digits: 5582592928596375704410338222940907
Prime cofactor 16532438980553993657264689123264173053974085228129493492379970481946243213399229496329059600590396846966560960771337978100805212177 has 131 digits

2461788586951425086216389198856660835513300582556407746662400985640137785402277577569314771969544619537424897492214405934849000305165903947913021273618133112729807381022989549<175>

395836120053326928186766734162353751994700485478632482975481137915592441681207264155704265316380695325414736675341767986844035844176414650236645199470656047265216296287149244277284056845091039624460663<201>

283338029757587830506315450043299887320928621377590877005329964824178691139653458534209116494290640192391260741909395182381216728774800311106195322791383902493800483473902720951099953843831927731<195>

40086618639011011257857207950706121222649<41>
7068144916614452225015129062172408520848767000634860085164935668427087362342656211950372416676119032800856131675299016727772140586752733186297182978692619<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3435911636
Step 1 took 28859ms
Step 2 took 11861ms
********** Factor found in step 2: 40086618639011011257857207950706121222649
Found prime factor of 41 digits: 40086618639011011257857207950706121222649
Prime cofactor 7068144916614452225015129062172408520848767000634860085164935668427087362342656211950372416676119032800856131675299016727772140586752733186297182978692619 has 154 digits

133376582378189304502496473284345504694251590560400717775006141493255540396413297279134117132429056714051213796257568370504326035671836232076001842099447821596852387621793947563259<180>

698014765332916912473554229481424589139<39>
191079886848203817776256290134299091340352946793254082492001375403279998153918966722401230336050247771824933149882036164023762186884144337081<141>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1083460401
Step 1 took 25737ms
Step 2 took 11091ms
********** Factor found in step 2: 698014765332916912473554229481424589139
Found prime factor of 39 digits: 698014765332916912473554229481424589139
Prime cofactor 191079886848203817776256290134299091340352946793254082492001375403279998153918966722401230336050247771824933149882036164023762186884144337081 has 141 digits

44473058298798133983212499943682405696818161293544380179105459887109942385397098026365939201132381540039855000507646503747379634365341727063521612941784358417313402483548993<173>

72505318385974875895638062888819000142747042452418980903040785525500556484421847554698467302837811994256049632149428251446450247259<131>

751442720743372242735179379633766392568475856019267159<54>
96488150572871692744475253675822483544051380530751461300135739671909745343901<77>

72505318385974875895638062888819000142747042452418980903040785525500556484421847554698467302837811994256049632149428251446450247259=751442720743372242735179379633766392568475856019267159*96488150572871692744475253675822483544051380530751461300135739671909745343901

cado polynomial
n: 72505318385974875895638062888819000142747042452418980903040785525500556484421847554698467302837811994256049632149428251446450247259
skew: 34509.779
c0: -69693537002772870393624654435
c1: 3816865827052370679119148
c2: 187388256042287752383
c3: -5206821794682596
c4: -77463255260
c5: -1266000
Y0: -12341194505673903816954070
Y1: 55803307392375673
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.462e-07
# f(x) = -1266000*x^5-77463255260*x^4-5206821794682596*x^3+187388256042287752383*x^2+3816865827052370679119148*x-69693537002772870393624654435
# g(x) = 55803307392375673*x-12341194505673903816954070

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

cado log (extracts)
Info:Square Root: Factors: 96488150572871692744475253675822483544051380530751461300135739671909745343901 751442720743372242735179379633766392568475856019267159
Info:Square Root: Total cpu/real time for sqrt: 788.36/245.689
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39021/38.890/46.741/50.670/0.845
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30872/37.490/42.013/47.570/1.051
Info:Polynomial Selection (size optimized): Total time: 4867.02
Info:Linear Algebra: Total cpu/real time for bwc: 51553.3/13278.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32987.79, WCT time 8439.8, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55808 iterations)
Info:Linear Algebra: Lingen CPU time 349.54, WCT time 88.85
Info:Linear Algebra: Mksol: CPU time 17887.41,  WCT time 4617.61, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 69.68/31.8157
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 352.1/328.735
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 286.3s
Info:Square Root: Total cpu/real time for sqrt: 788.36/245.689
Info:Generate Free Relations: Total cpu/real time for freerel: 252.05/64.5197
Info:Filtering - Singleton removal: Total cpu/real time for purge: 207.47/233.321
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.51/112.974
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 112.7s
Info:Filtering - Merging: Merged matrix has 1778741 rows and total weight 303908914 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 447.12/125.742
Info:Filtering - Merging: Total cpu/real time for replay: 71.57/62.2098
Info:Generate Factor Base: Total cpu/real time for makefb: 40.58/11.1323
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23963177
Info:Lattice Sieving: Average J: 7647.52 for 67037 special-q, max bucket fill -bkmult 1.0,1s:1.075220
Info:Lattice Sieving: Total time: 93541.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5882.57
Info:Polynomial Selection (root optimized): Rootsieve time: 5880.14
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 240020/64555.8
Info:root: Cleaning up computation data in /tmp/cado._zzrez42
96488150572871692744475253675822483544051380530751461300135739671909745343901 751442720743372242735179379633766392568475856019267159

cado-nfs-3.0.0

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

3058089451389937268705897339351515531427786630227860314938834681617472467657235744503838863163407436744678877741538938525982549586279738904640480060014028720628119724359947132488983014234901355029417244693441207904291<217>

1658755360307885371943363881555488633869887271397290018440544759285986697940462478541628351238846721521018169880148555874452713952579229506736160807116067051908584407901806496891338760266257611493<196>

30273231232462526690509727177739169964497325521357197641440614357949127929369964935940647107769033443263149516500411554537428072561783426602905914252776950981<158>

6596290157808365858212546153725360702621075275041917208780804244309062972862320804270891127787910959337366226374143842149004385991468437071564185669027990865024200262581574326726754931920624576132978059114475612899961008049<223>

203555620250922543343943363726223082235111758167974074477749788694061732509486945421417638394230954051723198683507413681247605468878798581861123734081593360059<159>

1957298873874826181511764305324574133121259<43>
103998230912966028213911186103743389658902920521077792894433101571914546707984902098214344709735147313785507187193201<117>

GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/core2/params.h
Running on debian
Input number is 203555620250922543343943363726223082235111758167974074477749788694061732509486945421417638394230954051723198683507413681247605468878798581861123734081593360059 (159 digits)
[Mon Dec  9 09:28:01 2024]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:12034150621760602209
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35        40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 119899ms
********** Factor found in step 1: 1957298873874826181511764305324574133121259
Found prime factor of 43 digits: 1957298873874826181511764305324574133121259
Prime cofactor 103998230912966028213911186103743389658902920521077792894433101571914546707984902098214344709735147313785507187193201 has 117 digits
Peak memory usage: 4MB

GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert]

3011688538080420712185498105520708095108423318677308289475775605502652323752996351954711830209391190199025521747392936973634408763980225667950995444571697318411158309297136300271<178>

28935763098268725515065275397378488280593262574477078084107647350912174914894400495854632639181411955269544763178190927864689728816143467120819059669307337680859000841299162982867836673068704661837058380019929758351<215>

57194946667897103817885820027805082185732246116445882108084959138421148124423473230476172080549295863909811568651569857747039855908997<134>

196293038228675683064421918977931430937589334834467401<54>
291375319186137684999718755046611839367326013268924152562420160215680303616431197<81>

n: 57194946667897103817885820027805082185732246116445882108084959138421148124423473230476172080549295863909811568651569857747039855908997
skew: 906392.16
c0: 25239487993530166586999840078124
c1: 13039921523222610071054503212
c2: 10127692665919275968167
c3: -28809701853178868
c4: -10836359552
c5: 15960
Y0: -81445129126923331872598895
Y1: 223334130010183
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

nfs: commencing poly selection with 6 threads
nfs: setting deadline of 16800 seconds
nfs: completed 66 ranges of size 250 in 17007.2279 seconds
nfs: best poly = # norm 9.017444e-013 alpha -7.180086 e 5.205e-011 rroots 5
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp54 = 196293038228675683064421918977931430937589334834467401
prp81 = 291375319186137684999718755046611839367326013268924152562420160215680303616431197
NFS elapsed time = 131780.8741 seconds.

YAFU x64 r373

Windows 7 Professional SP1, Intel Xeon E5-1620

141219892653703610891787891633421421548263781644306610753696704634040991474294714427343557012556972354475228290079224481362386649035146466859429597603045670717117644711520621939527469853<186>

1488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<238>

20322642386891067239332444950575605353917288130049511592697526964039670527801852530873124249668859132040228011027873709150688145800341992778324218468033278969892591232872705379285570054538926285961647<200>

23564682304520961361291078620790820338098527545874903848233482491448525759398844092206626100220568975706374687514636413500311627417623616564660834931493274032889944162879828283769356111861647851364588747<203>

18457787958726602462956493577966743471<38>
1276679651820351829716905902247624419564413748308220470401457146369644069193215105095458957491184609462059093935439600539946225273251894514333067943845808134666497957<166>

Resuming ECM residue saved by @57f4cf393a2e with GMP-ECM 7.0.5-dev on Thu Dec 15 11:34:59 2022 
Input number is 23564682304520961361291078620790820338098527545874903848233482491448525759398844092206626100220568975706374687514636413500311627417623616564660834931493274032889944162879828283769356111861647851364588747 (203 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:925700929
Step 1 took 0ms
Step 2 took 3521ms
********** Factor found in step 2: 18457787958726602462956493577966743471
Found prime factor of 38 digits: 18457787958726602462956493577966743471
Prime cofactor 1276679651820351829716905902247624419564413748308220470401457146369644069193215105095458957491184609462059093935439600539946225273251894514333067943845808134666497957 has 166 digits

581228589773003026797875798907274705209259894252433725979678752982763590040881176090585191531524021895327803673503112314362210216105538486767779113676302746315301362168515562864996753037189163899<195>

4781003961579681463460794297025564538231775864773572450466111864027576501699417436170292718468449638215022809885832095171822829912181330941769372001054333838505273048428620490367686615120938015695047006237810595717779289997<223>

1500035008264473188407112058863403307859282837274342971132154004824342289845623169753497708450804408353215699538942473607377657939409396965649855469805276999815444972827448209412825578580530733209744747483312319097798509524542433583<232>

2839338594330027234676592182716121387432723101214792039413388748745251688201522262859009183953833569438267830208189280495667388528551668809322070708671376126223065058619281161261144981613905929481095604599886251673<214>

170276731752974259024614812308467214943<39>

16674847849729368076008163764033513641889826434053039856492579179771120622819925091885484719370807813546720453386277732431393021429951959374346258009589737194655509132183151111<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:459348780
Step 1 took 7625ms
********** Factor found in step 2: 170276731752974259024614812308467214943
Found prime factor of 39 digits: 170276731752974259024614812308467214943
Composite cofactor 16674847849729368076008163764033513641889826434053039856492579179771120622819925091885484719370807813546720453386277732431393021429951959374346258009589737194655509132183151111 has 176 digits
 

GMP-ECM

154192014967604107433160451500559963773337251625376540379939734441492970740615973586894119864204353110356424576601439397715526572704793450940438816772450966728290666491328620684003868414056232793184237318202804051369606604806731426194715745873<243>

1904651016543027147443884251282247073826742931748500127423731495827563518319050966463989558033986269810054461427417215421710858236687445048851729703426089190253118320122807617295050662262833330213132727<202>

5736581714003815313599290012450451<34>
332018458290849754102317641706213966922055652619724730686556703909091051349632792935884231978518567771535239738638181558481340744943119616808852383564076229048872848077<168>

GPU: factor 5736581714003815313599290012450451 found in Step 1 with curve 1329 (-sigma 3:-1927008199)
Computing 1792 Step 1 took 235ms of CPU time / 175301ms of GPU time
Throughput: 10.222 curves per second (on average 97.82ms per Step 1)
********** Factor found in step 1: 5736581714003815313599290012450451
Found prime factor of 34 digits: 5736581714003815313599290012450451
Prime cofactor 332018458290849754102317641706213966922055652619724730686556703909091051349632792935884231978518567771535239738638181558481340744943119616808852383564076229048872848077 has 168 digits
Peak memory usage: 9428MB

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1349954451683597174784830666674181<34>
4150124040329067539369420185552171066547<40>

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Resuming ECM residue saved by @57f4cf393a2e with GMP-ECM 7.0.5-dev on Thu Dec 15 11:46:51 2022 
Input number is 1062002843826048703205842433540373761482856318917324907006275016783396895527635477283724659283038544475347358025801728235763389134037636994112635818928247881947542915934986724479537140065539609865057995132039438835813796754850377837 (232 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3841332846
Step 1 took 0ms
Step 2 took 4540ms
********** Factor found in step 2: 4150124040329067539369420185552171066547
Found prime factor of 40 digits: 4150124040329067539369420185552171066547
Composite cofactor 255896651161742486587261848244182334178460006004611733490529857466275476801506566502838742508846212167363152098300631868780107101965530275703357756294027034108762233430613530233410458369599071 has 192 digits

Resuming ECM residue saved by @57f4cf393a2e with GMP-ECM 7.0.5-dev on Thu Dec 15 11:46:51 2022 
Input number is 255896651161742486587261848244182334178460006004611733490529857466275476801506566502838742508846212167363152098300631868780107101965530275703357756294027034108762233430613530233410458369599071 (192 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3841332980
Step 1 took 0ms
Step 2 took 3077ms
********** Factor found in step 2: 1349954451683597174784830666674181
Found prime factor of 34 digits: 1349954451683597174784830666674181
Composite cofactor 189559470575174367900479932655341897394324492768395602206780512535201804156029782075870984553886732751378978953541969292548117062076415172578864901104440540691 has 159 digits

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2666072510424270087488376977968694747734373<43>

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Resuming ECM residue saved by @57f4cf393a2e with GMP-ECM 7.0.5-dev on Thu Dec 15 10:53:41 2022 
Input number is 14224777000879320996537649959756799274655888192580015139764991389257497991079616861774958264451067327721160748844777924698877506246848616598258333424141442985252756939800091449969692023818155648086705252407892510370757687794379574024932600662982617 (248 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:451523134
Step 1 took 0ms
Step 2 took 5880ms
********** Factor found in step 2: 2666072510424270087488376977968694747734373
Found prime factor of 43 digits: 2666072510424270087488376977968694747734373
Composite cofactor 5335480166147332714388109787250484827286135228531542532238032620406654633557120075652661252200895698886753631431818269389228793590999189939915962497441266266439747211956779172286128439796628536224159094629 has 205 digits

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