1090799668998721131422553223501090799668998721131422553223501090799668998721131422553223501090799669<100>

128906578917970390645340856879299798671599865067<48>
8461939477059977839521688643207553935355656135712607<52>

N=1090799668998721131422553223501090799668998721131422553223501090799668998721131422553223501090799669
  ( 100 digits)
SNFS difficulty: 103 digits.
Divisors found:
p48 factor: 128906578917970390645340856879299798671599865067
p52 factor: 8461939477059977839521688643207553935355656135712607
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.07 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1090799668998721131422553223501090799668998721131422553223501090799668998721131422553223501090799669
m: 10000000000000000000000000
deg: 4
c4: 1450
c0: 17
skew: 0.33
# Murphy_E = 2.268e-07
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 30879 x 31104
Total sieving time: 0.06 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,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.07 hours.
 --------- CPU info (if available) ----------

5370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371<112>

68902497484421572071875654651413755458428794347003<50>
77941592343362849065009534932339223537964497614113286547930457<62>

N=5370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
  ( 112 digits)
SNFS difficulty: 113 digits.
Divisors found:
p50 factor: 68902497484421572071875654651413755458428794347003
p62 factor: 77941592343362849065009534932339223537964497614113286547930457
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.37 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370371
m: 10000000000000000000000000000
deg: 4
c4: 29
c0: 34
skew: 1.04
# Murphy_E = 7.336e-08
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [270000, 590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64517 x 64743
Total sieving time: 0.35 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,540000,540000,25,25,45,45,2.2,2.2,20000
total time: 0.37 hours.
 --------- CPU info (if available) ----------

818450465350847953006051988501984223411421827297676160052683341827660472429825812772902783933401<96>

1164014813498746012104211980987309793483<40>
703127190358329289416694155961167687524104174550327235947<57>

N=818450465350847953006051988501984223411421827297676160052683341827660472429825812772902783933401
  ( 96 digits)
SNFS difficulty: 117 digits.
Divisors found:
p40 factor: 1164014813498746012104211980987309793483
p57 factor: 703127190358329289416694155961167687524104174550327235947
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.63 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 818450465350847953006051988501984223411421827297676160052683341827660472429825812772902783933401
m: 100000000000000000000000000000
deg: 4
c4: 29
c0: 34
skew: 1.04
# Murphy_E = 4.773e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 81077 x 81303
Total sieving time: 0.61 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,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,20000
total time: 0.63 hours.
 --------- CPU info (if available) ----------

4015203686941697555882640986356262429615638112880809189704591516342151826591139328183<85>

14893617147212067479063612809457577734189<41>
269592245272217336664204147136457089929301747<45>

Sun Jun 12 23:14:32 2022  Msieve v. 1.53 (SVN 1005)
Sun Jun 12 23:14:32 2022  random seeds: 60407af8 b2ee00db
Sun Jun 12 23:14:32 2022  factoring 4015203686941697555882640986356262429615638112880809189704591516342151826591139328183 (85 digits)
Sun Jun 12 23:14:32 2022  searching for 15-digit factors
Sun Jun 12 23:14:32 2022  commencing quadratic sieve (85-digit input)
Sun Jun 12 23:14:32 2022  using multiplier of 7
Sun Jun 12 23:14:32 2022  using generic 32kb sieve core
Sun Jun 12 23:14:32 2022  sieve interval: 12 blocks of size 32768
Sun Jun 12 23:14:32 2022  processing polynomials in batches of 17
Sun Jun 12 23:14:32 2022  using a sieve bound of 1433177 (54706 primes)
Sun Jun 12 23:14:32 2022  using large prime bound of 116087337 (26 bits)
Sun Jun 12 23:14:32 2022  using double large prime bound of 328558507290990 (41-49 bits)
Sun Jun 12 23:14:32 2022  using trial factoring cutoff of 49 bits
Sun Jun 12 23:14:32 2022  polynomial 'A' values have 11 factors
Sun Jun 12 23:22:51 2022  55055 relations (16750 full + 38305 combined from 564688 partial), need 54802
Sun Jun 12 23:22:51 2022  begin with 581438 relations
Sun Jun 12 23:22:52 2022  reduce to 127300 relations in 9 passes
Sun Jun 12 23:22:52 2022  attempting to read 127300 relations
Sun Jun 12 23:22:52 2022  recovered 127300 relations
Sun Jun 12 23:22:52 2022  recovered 106205 polynomials
Sun Jun 12 23:22:52 2022  attempting to build 55055 cycles
Sun Jun 12 23:22:52 2022  found 55055 cycles in 6 passes
Sun Jun 12 23:22:52 2022  distribution of cycle lengths:
Sun Jun 12 23:22:52 2022     length 1 : 16750
Sun Jun 12 23:22:52 2022     length 2 : 11313
Sun Jun 12 23:22:52 2022     length 3 : 9597
Sun Jun 12 23:22:52 2022     length 4 : 6955
Sun Jun 12 23:22:52 2022     length 5 : 4455
Sun Jun 12 23:22:52 2022     length 6 : 2694
Sun Jun 12 23:22:52 2022     length 7 : 1568
Sun Jun 12 23:22:52 2022     length 9+: 1723
Sun Jun 12 23:22:52 2022  largest cycle: 18 relations
Sun Jun 12 23:22:52 2022  matrix is 54706 x 55055 (12.4 MB) with weight 2819466 (51.21/col)
Sun Jun 12 23:22:52 2022  sparse part has weight 2819466 (51.21/col)
Sun Jun 12 23:22:52 2022  filtering completed in 3 passes
Sun Jun 12 23:22:52 2022  matrix is 49080 x 49144 (11.2 MB) with weight 2541696 (51.72/col)
Sun Jun 12 23:22:52 2022  sparse part has weight 2541696 (51.72/col)
Sun Jun 12 23:22:52 2022  saving the first 48 matrix rows for later
Sun Jun 12 23:22:52 2022  matrix includes 64 packed rows
Sun Jun 12 23:22:52 2022  matrix is 49032 x 49144 (6.5 MB) with weight 1886585 (38.39/col)
Sun Jun 12 23:22:52 2022  sparse part has weight 1224774 (24.92/col)
Sun Jun 12 23:22:52 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun Jun 12 23:22:52 2022  commencing Lanczos iteration
Sun Jun 12 23:22:52 2022  memory use: 4.1 MB
Sun Jun 12 23:22:55 2022  lanczos halted after 776 iterations (dim = 49024)
Sun Jun 12 23:22:55 2022  recovered 14 nontrivial dependencies
Sun Jun 12 23:22:55 2022  p41 factor: 14893617147212067479063612809457577734189
Sun Jun 12 23:22:55 2022  p45 factor: 269592245272217336664204147136457089929301747
Sun Jun 12 23:22:55 2022  elapsed time 00:08:23

Msieve 1.53

Windows 10 21H1
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

171731136311767100364768777052835512009276797548295236853359730185513448265284574481629565042931007548945446466016007<117>

5140972927208007159556251880616748189657127169<46>
33404403941304541552639916109295875224284132290177197159610143945450503<71>

N=171731136311767100364768777052835512009276797548295236853359730185513448265284574481629565042931007548945446466016007
  ( 117 digits)
SNFS difficulty: 123 digits.
Divisors found:
p46 factor: 5140972927208007159556251880616748189657127169
p71 factor: 33404403941304541552639916109295875224284132290177197159610143945450503
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.91 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 171731136311767100364768777052835512009276797548295236853359730185513448265284574481629565042931007548945446466016007
m: 1000000000000000000000000000000
deg: 4
c4: 1450
c0: 17
skew: 0.33
# Murphy_E = 2.703e-08
type: snfs
lss: 1
rlim: 790000
alim: 790000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 790000/790000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [395000, 770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73177 x 73402
Total sieving time: 0.90 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,123.000,4,0,0,0,0,0,0,0,0,790000,790000,25,25,46,46,2.2,2.2,75000
total time: 0.91 hours.
 --------- CPU info (if available) ----------

5755320919678514487368837713477724412651267052760027451893155060119510899854464510727<85>

2101625572753497319893144029<28>
2738509177987417047498954790873284325129795665543312346163<58>

2101625572753497319893144029 × 2738509177987417047498954790873284325129795665543312346163 (58 dígitos) 

Alpertron

1484060030739420814143689450661634660659401937906144755643250568417273597058457163050620927510038033<100>

68008141488209937154066784671279918236140777<44>
21821799541407865147266887132292758070681892990433271529<56>

N=1484060030739420814143689450661634660659401937906144755643250568417273597058457163050620927510038033
  ( 100 digits)
SNFS difficulty: 125 digits.
Divisors found:
p44 factor: 68008141488209937154066784671279918236140777
p56 factor: 21821799541407865147266887132292758070681892990433271529
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.88 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1484060030739420814143689450661634660659401937906144755643250568417273597058457163050620927510038033
m: 10000000000000000000000000000000
deg: 4
c4: 29
c0: 34
skew: 1.04
# Murphy_E = 1.99e-08
type: snfs
lss: 1
rlim: 860000
alim: 860000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 860000/860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [430000, 805001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 105810 x 106035
Total sieving time: 0.85 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,125.000,4,0,0,0,0,0,0,0,0,860000,860000,26,26,46,46,2.3,2.3,75000
total time: 0.88 hours.
 --------- CPU info (if available) ----------

1643478080914643404700047735031040263405540740072340249677526070738178834321832127516310757431<94>

431491628621688866414206399718654119<36>
3808829585325665825975290341683918633863680563661606782449<58>

fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C126
rho: x^2 + 2, starting 1000 iterations on C126
rho: x^2 + 2, starting 1000 iterations on C121
rho: x^2 + 1, starting 1000 iterations on C121
pm1: starting B1 = 150K, B2 = gmp-ecm default on C121
ecm: 30/30 curves on C121, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C121, B1=11K, B2=gmp-ecm default
ecm: 214/214 curves on C121, B1=50K, B2=gmp-ecm default, ETA: 0 sec
pm1: starting B1 = 3750K, B2 = gmp-ecm default on C121
ecm: 156/430 curves on C121, B1=250K, B2=gmp-ecm default, ETA: 2.2 min
ecm: 273/273 curves on C94, B1=250K, B2=gmp-ecm default, ETA: 0 sec

starting SIQS on c94: 1643478080914643404700047735031040263405540740072340249677526070738178834321832127516310757431

==== sieving in progress (1 thread):   86144 relations needed ====
====           Press ctrl-c to abort and save state           ====
86202 rels found: 24098 full + 62104 from 1072871 partial, (564.08 rels/sec)

SIQS elapsed time = 1957.8009 seconds.
Total factoring time = 2163.2719 seconds

***factors found***

P27 = 835860719014898577901437983
P58 = 3808829585325665825975290341683918633863680563661606782449
P36 = 431491628621688866414206399718654119

Yafu 1.34

Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

2083826159590591437799027865748273769773834061822136373308371702513407175668201912485549<88>

4320080535352219961933571945461839811<37>
482358174237299319243088841084998394274225021079759<51>

4320080535352219961933571945461839811 (37 dígitos) × 482358174237299319243088841084998394274225021079759 (51 dígitos)

Alpertron

3720781257855983252495842789998958729770505469898153603166283486705607040863614552094018520918842707047362782440662137<118>

7026534704676488626170541876903323158042171423<46>
529532894127688388975655142446739639328893871830054547195164219763183719<72>

N=3720781257855983252495842789998958729770505469898153603166283486705607040863614552094018520918842707047362782440662137
  ( 118 digits)
SNFS difficulty: 130 digits.
Divisors found:
p46 factor: 7026534704676488626170541876903323158042171423
p72 factor: 529532894127688388975655142446739639328893871830054547195164219763183719
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.98 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3720781257855983252495842789998958729770505469898153603166283486705607040863614552094018520918842707047362782440662137
m: 100000000000000000000000000000000
deg: 4
c4: 145
c0: 17
skew: 0.59
# Murphy_E = 1.108e-08
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 1115001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 128984 x 129209
Total sieving time: 1.94 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,100000
total time: 1.98 hours.
 --------- CPU info (if available) ----------

239095146955701501541762182910593903457294223969615300640983253958938679991541440294885509610422011690205987872807232230473<123>

5083292790560027788557746230498088668677302817972840634081<58>
47035486014048842999180381151686979053578347436894485555937161833<65>

N=239095146955701501541762182910593903457294223969615300640983253958938679991541440294885509610422011690205987872807232230473
  ( 123 digits)
SNFS difficulty: 131 digits.
Divisors found:
p58 factor: 5083292790560027788557746230498088668677302817972840634081
p65 factor: 47035486014048842999180381151686979053578347436894485555937161833
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.77 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 239095146955701501541762182910593903457294223969615300640983253958938679991541440294885509610422011690205987872807232230473
m: 100000000000000000000000000000000
deg: 4
c4: 1450
c0: 17
skew: 0.33
# Murphy_E = 1.113e-08
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1135001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132311 x 132535
Total sieving time: 1.73 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,100000
total time: 1.77 hours.
 --------- CPU info (if available) ----------

13864058011563447206704534057524622300095154430648883752372881312745112522264257<80>

2128575326510781556126427<25>
2822255664903999933322159<25>
2307836245273006468739420083549<31>

2128575326510781556126427 × 2822255664903999933322159 × 2307836245273006468739420083549 (31 dígitos) 

Alpertron

185147677365897915988645050785829949199812820223572078628253671564288375162321624192002869522345997<99>

5367362670011541458212386247483575729444511<43>
34495093540138921208396596505552119003520152951887222227<56>

185147677365897915988645050785829949199812820223572078628253671564288375162321624192002869522345997=5367362670011541458212386247483575729444511µ34495093540138921208396596505552119003520152951887222227

cado polynomial
n: 185147677365897915988645050785829949199812820223572078628253671564288375162321624192002869522345997
skew: 216359.053
c0: -91354901529982917566288850
c1: 895259597994431829035
c2: -7253586641683345
c3: -53524009488
c4: 55440
Y0: -447443238254842254248202
Y1: 80566660348319
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 3.074e-06
# f(x) = 55440*x^4-53524009488*x^3-7253586641683345*x^2+895259597994431829035*x-91354901529982917566288850
# g(x) = 80566660348319*x-447443238254842254248202

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 34495093540138921208396596505552119003520152951887222227 5367362670011541458212386247483575729444511
Info:Square Root: Total cpu/real time for sqrt: 33.17/27.2498
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 20.31/33.9455
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 27.9s
Info:Square Root: Total cpu/real time for sqrt: 33.17/27.2498
Info:Filtering - Singleton removal: Total cpu/real time for purge: 11.22/17.0354
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2388203
Info:Lattice Sieving: Average J: 985.687 for 71739 special-q, max bucket fill -bkmult 1.0,1s:1.441390
Info:Lattice Sieving: Total time: 5789.01s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.75/0.649901
Info:Linear Algebra: Total cpu/real time for bwc: 460.95/476.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 194.26, WCT time 213.25, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5120 iterations)
Info:Linear Algebra: Lingen CPU time 145.91, WCT time 132.63
Info:Linear Algebra: Mksol: CPU time 106.98,  WCT time 117.23, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2560 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.38/15.5244
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 15.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 46.71
Info:Polynomial Selection (root optimized): Rootsieve time: 46.32
Info:Generate Free Relations: Total cpu/real time for freerel: 24.2/16.7743
Info:Filtering - Merging: Merged matrix has 160388 rows and total weight 27333128 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 37.17/31.079
Info:Filtering - Merging: Total cpu/real time for replay: 5.73/6.40875
Info:Quadratic Characters: Total cpu/real time for characters: 5.34/4.67214
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5828/32.470/37.508/38.340/0.689
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3362/32.300/36.031/38.310/1.022
Info:Polynomial Selection (size optimized): Total time: 104.59
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5641.83/3693.48
Info:root: Cleaning up computation data in /tmp/cado.66yjxqnk
34495093540138921208396596505552119003520152951887222227 5367362670011541458212386247483575729444511

cado-nfs-3.0.0

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

251059384073008740138427366224244502700142552385398983329892496658241028162308974214276341819651596752107868316571<114>

58969532196760629993853<23>
4257442355745873988950015381139472587429141421081235220821835685359244056014115244921513207<91>

PID429799 2022-06-14 15:39:30,633 Info:Square Root: Factors: 4257442355745873988950015381139472587429141421081235220821835685359244056014115244921513207 58969532196760629993853
PID429799 2022-06-14 15:39:30,633 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID429799 2022-06-14 15:39:30,633 Info:Complete Factorization / Discrete logarithm: Square Root
PID429799 2022-06-14 15:39:30,634 Info:Square Root: Total cpu/real time for sqrt: 142.05/19.0842
PID429799 2022-06-14 15:39:30,634 Info:HTTP server: Got notification to stop serving Workunits
PID429799 2022-06-14 15:39:30,634 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 218.54/59.3223
PID429799 2022-06-14 15:39:30,634 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID429799 2022-06-14 15:39:30,634 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 52.4s
PID429799 2022-06-14 15:39:30,634 Info:Lattice Sieving: Aggregate statistics:
PID429799 2022-06-14 15:39:30,634 Info:Lattice Sieving: Total number of relations: 9212338
PID429799 2022-06-14 15:39:30,634 Info:Lattice Sieving: Average J: 1891.44 for 66503 special-q, max bucket fill -bkmult 1.0,1s:1.382340
PID429799 2022-06-14 15:39:30,634 Info:Lattice Sieving: Total time: 5240.78s
PID429799 2022-06-14 15:39:30,634 Info:Linear Algebra: Total cpu/real time for bwc: 43852.6/1894.58
PID429799 2022-06-14 15:39:30,634 Info:Linear Algebra: Aggregate statistics:
PID429799 2022-06-14 15:39:30,634 Info:Linear Algebra: Krylov: CPU time 412.84, WCT time 138.22, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7000 iterations)
PID429799 2022-06-14 15:39:30,635 Info:Linear Algebra: Lingen CPU time 43142.62, WCT time 1660.83
PID429799 2022-06-14 15:39:30,635 Info:Linear Algebra: Mksol: CPU time 172.35,  WCT time 55.97, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4000 iterations)
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Merging: Total cpu/real time for merge: 53.9/15.9547
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Merging: Total cpu/real time for replay: 8.4/7.09408
PID429799 2022-06-14 15:39:30,635 Info:Generate Free Relations: Total cpu/real time for freerel: 76.46/17.3488
PID429799 2022-06-14 15:39:30,635 Info:Quadratic Characters: Total cpu/real time for characters: 9.88/4.2958
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Singleton removal: Total cpu/real time for purge: 70.04/27.9436
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 73.65/25.2076
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID429799 2022-06-14 15:39:30,635 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 25.1s
PID429799 2022-06-14 15:39:30,635 Info:Generate Factor Base: Total cpu/real time for makefb: 1.19/0.579054
PID429799 2022-06-14 15:39:30,635 Info:Square Root: Total cpu/real time for sqrt: 142.05/19.0842
PID429799 2022-06-14 15:39:30,636 Info:HTTP server: Shutting down HTTP server
PID429799 2022-06-14 15:39:30,999 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 54838.1/4768.97

Note by submitter (FB): weird that the 23 digit factor wasn't found by ECM already!

CADO

AMD Epyc 7401P, 128 GB RAM

130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765131<138>

95240734944281236401286013577407156724811855500857946187546549<62>
1375300634296818287933088661001084266047126908942129116229033180092242784319<76>

Number: n
N=130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765131  ( 138 digits)
SNFS difficulty: 140 digits.
Divisors found:

Tue Jun 14 01:08:03 2022  p62 factor: 95240734944281236401286013577407156724811855500857946187546549
Tue Jun 14 01:08:03 2022  p76 factor: 1375300634296818287933088661001084266047126908942129116229033180092242784319
Tue Jun 14 01:08:03 2022  elapsed time 00:02:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 29x10^139+34 = 32(138)6
#
n: 130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765130984643179765131
m: 50000000000000000000000000000000000
deg: 4
c4: 116
c0: 85
skew: 0.93
# Murphy_E = 3.058e-09
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6380000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 410472 hash collisions in 5923777 relations (6181099 unique)
Msieve: matrix is 247798 x 248023 (83.5 MB)

Sieving start time : 2022/06/14 00:43:24
Sieving end time  : 2022/06/14 01:02:47

Total sieving time: 0hrs 19min 23secs.

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

Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

113810590692987632472425754546974593471201293538690521827079814630304765409203327879521303619318544028480072530230451636482621<126>

1921079930122169081444272080974026805764486679<46>
59243027272555997317904221103402133543694890370948856236144366954211215222186699<80>

113810590692987632472425754546974593471201293538690521827079814630304765409203327879521303619318544028480072530230451636482621=1921079930122169081444272080974026805764486679*59243027272555997317904221103402133543694890370948856236144366954211215222186699

cado polynomial
n: 113810590692987632472425754546974593471201293538690521827079814630304765409203327879521303619318544028480072530230451636482621
skew: 1.04
type: snfs
c0: 34
c4: 29
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 29*x^4+34
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1600000
tasks.lim1 = 1600000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 59243027272555997317904221103402133543694890370948856236144366954211215222186699 1921079930122169081444272080974026805764486679
Info:Square Root: Total cpu/real time for sqrt: 28.17/9.021
Info:Filtering - Singleton removal: Total cpu/real time for purge: 39.52/36.0554
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6035105
Info:Lattice Sieving: Average J: 1891.17 for 139411 special-q, max bucket fill -bkmult 1.0,1s:1.326100
Info:Lattice Sieving: Total time: 11694.1s
Info:Linear Algebra: Total cpu/real time for bwc: 573.26/148.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 340.93, WCT time 87.11, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Linear Algebra: Lingen CPU time 27.75, WCT time 7.08
Info:Linear Algebra: Mksol: CPU time 187.26,  WCT time 47.98, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.35/21.8312
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.7s
Info:Filtering - Merging: Merged matrix has 195816 rows and total weight 33308925 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 39.33/10.9282
Info:Filtering - Merging: Total cpu/real time for replay: 6.03/5.03353
Info:Generate Factor Base: Total cpu/real time for makefb: 0.81/0.498595
Info:Quadratic Characters: Total cpu/real time for characters: 5.99/2.35941
Info:Generate Free Relations: Total cpu/real time for freerel: 36.21/10.9752
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.96/43.4979
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.2s
Info:Square Root: Total cpu/real time for sqrt: 28.17/9.021
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21952.1/6273.86
Info:root: Cleaning up computation data in /tmp/cado.jq80bjxl
59243027272555997317904221103402133543694890370948856236144366954211215222186699 1921079930122169081444272080974026805764486679

cado-nfs-3.0.0

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

1924469797705594884437988258293336705401610859321326652902938549398609400881894811978247883541229104847<103>

57809170045262536665073<23>
271224552531448673607513923180475111527<39>
122739786646629600381031122554501456686057<42>

1924469797705594884437988258293336705401610859321326652902938549398609400881894811978247883541229104847=57809170045262536665073*271224552531448673607513923180475111527*122739786646629600381031122554501456686057

cado polynomial
n: 1924469797705594884437988258293336705401610859321326652902938549398609400881894811978247883541229104847
skew: 25677.624
c0: -10942110287942687461029472
c1: 552173404427532153160
c2: 84468186316255994
c3: 684157590155
c4: -53026822
c5: 960
Y0: -76871076746363285817
Y1: 395849717834611
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 4.345e-06
# f(x) = 960*x^5-53026822*x^4+684157590155*x^3+84468186316255994*x^2+552173404427532153160*x-10942110287942687461029472
# g(x) = 395849717834611*x-76871076746363285817

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
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: 271224552531448673607513923180475111527 122739786646629600381031122554501456686057 57809170045262536665073
Info:Square Root: Total cpu/real time for sqrt: 67.18/51.0446
Info:Quadratic Characters: Total cpu/real time for characters: 5.91/4.83792
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 40.83/68.8015
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 57.5s
Info:Square Root: Total cpu/real time for sqrt: 67.18/51.0446
Info:Linear Algebra: Total cpu/real time for bwc: 329.97/284.03
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 178.52, WCT time 160.79, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (5248 iterations)
Info:Linear Algebra: Lingen CPU time 36.41, WCT time 16.31
Info:Linear Algebra: Mksol: CPU time 102.97,  WCT time 95.36, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2688 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 19.71/29.2912
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4626348
Info:Lattice Sieving: Average J: 1917.94 for 29933 special-q, max bucket fill -bkmult 1.0,1s:1.282470
Info:Lattice Sieving: Total time: 6316.01s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/1.22227
Info:Generate Free Relations: Total cpu/real time for freerel: 62.65/40.3645
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.8/31.4679
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 160.61
Info:Polynomial Selection (root optimized): Rootsieve time: 159.98
Info:Filtering - Merging: Merged matrix has 164791 rows and total weight 24059526 (146.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 23.5/18.806
Info:Filtering - Merging: Total cpu/real time for replay: 5.29/5.89455
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11082/29.650/36.125/41.260/0.974
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 8791/29.010/31.835/36.550/0.855
Info:Polynomial Selection (size optimized): Total time: 566.2
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7072.04/4178.96
Info:root: Cleaning up computation data in /tmp/cado.jf327q2d
271224552531448673607513923180475111527 122739786646629600381031122554501456686057 57809170045262536665073

cado-nfs-3.0.0

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

2861508138626310083633650477060638287480985560411211780702581621706466040887376541494384914373236811213973533<109>

16425502454740758697883290132063661578781153<44>
174211300172459342153731627767047245524857034359424166785111254461<66>

Number: 32226_148
N = 2861508138626310083633650477060638287480985560411211780702581621706466040887376541494384914373236811213973533 (109 digits)
SNFS difficulty: 150 digits.
Divisors found:
r1=16425502454740758697883290132063661578781153 (pp44)
r2=174211300172459342153731627767047245524857034359424166785111254461 (pp66)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 17.21 hours.
Factorization parameters were as follows:
n: 2861508138626310083633650477060638287480985560411211780702581621706466040887376541494384914373236811213973533
m: 10000000000000000000000000000000000000
deg: 4
c4: 29
c0: 34
skew: 1.04
# Murphy_E = 1.283e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 5728125
Relations: 461684 relations
Pruned matrix : 311461 x 311686
Polynomial selection time: 0.00 hours.
Total sieving time: 17.12 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,150,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 17.21 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

6913621956815277932470021470309836129434488514476439496820806073236869793931086854675182607361711828662931708156276870982249629<127>

230809026181313073496581717321564811<36>
105706001034591412018490272193931064735547<42>
283369560280043403117980128327593456098430114344437<51>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6913621956815277932470021470309836129434488514476439496820806073236869793931086854675182607361711828662931708156276870982249629 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:10184002
Step 1 took 1377ms
Step 2 took 900ms
********** Factor found in step 2: 230809026181313073496581717321564811
Found prime factor of 36 digits: 230809026181313073496581717321564811
Composite cofactor 29953863032133981463178007599165416658936451725255877464260230713845966474154305206675602039 has 92 digits

cado polynomial
n: 29953863032133981463178007599165416658936451725255877464260230713845966474154305206675602039
skew: 47288.19
c0: 705718002201134382394200
c1: 3484758496934750842
c2: 25930886228351
c3: -1797039468
c4: 187200
Y0: -4683473999967844207083
Y1: 1130888356951967
# MurphyE (Bf=8.389e+06,Bg=8.389e+06,area=4.214e+11) = 3.020e-06
# f(x) = 187200*x^4-1797039468*x^3+25930886228351*x^2+3484758496934750842*x+705718002201134382394200
# g(x) = 1130888356951967*x-4683473999967844207083

cado parameters (extracts)
tasks.lim0 = 404327
tasks.lim1 = 811066
tasks.lpb0 = 23
tasks.lpb1 = 23
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 105706001034591412018490272193931064735547 283369560280043403117980128327593456098430114344437
Info:Square Root: Total cpu/real time for sqrt: 31.2/23.0125
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1059973
Info:Lattice Sieving: Average J: 979.633 for 31722 special-q, max bucket fill -bkmult 1.0,1s:1.380760
Info:Lattice Sieving: Total time: 2068.47s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 6.36/9.37402
Info:Linear Algebra: Total cpu/real time for bwc: 165.11/156.28
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 50.74, WCT time 51.71, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2700 iterations)
Info:Linear Algebra: Lingen CPU time 80.54, WCT time 69.31
Info:Linear Algebra: Mksol: CPU time 27.64,  WCT time 29.27, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1400 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 0.59/0.483252
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 4.14/7.86103
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 7.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 42.55
Info:Polynomial Selection (root optimized): Rootsieve time: 42.22
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 11.03/20.2555
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 15.099999999999998s
Info:Filtering - Merging: Merged matrix has 83731 rows and total weight 14281064 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 21.57/17.53
Info:Filtering - Merging: Total cpu/real time for replay: 2.99/3.34098
Info:Quadratic Characters: Total cpu/real time for characters: 2.85/2.44571
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2285.08
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2271/30.970/34.609/37.360/0.710
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 1365/29.940/33.404/36.100/1.145
Info:Polynomial Selection (size optimized): Total time: 37.46
Info:Generate Free Relations: Total cpu/real time for freerel: 6.39/4.71423
Info:Square Root: Total cpu/real time for sqrt: 31.2/23.0125
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2150.25/1360.5
Info:root: Cleaning up computation data in /tmp/cado.z3_b9_s9
105706001034591412018490272193931064735547 283369560280043403117980128327593456098430114344437

GMP-ECM 7.0.4 for P36
cado-nfs-3.0.0 for P42 × P51

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

42865640930357408884476075277269303402131618803138239284586706303684598450485311303204349752192049911025942663151<113>

27450889381748515239681214814348982025571141<44>
1561539239557674168396990083650855557868609811447409084791621542856611<70>

42865640930357408884476075277269303402131618803138239284586706303684598450485311303204349752192049911025942663151=27450889381748515239681214814348982025571141*1561539239557674168396990083650855557868609811447409084791621542856611

cado polynomial
n: 42865640930357408884476075277269303402131618803138239284586706303684598450485311303204349752192049911025942663151
skew: 0.65
type: snfs
c0: 17
c5: 145
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 145*x^5+17
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2400000
tasks.lim1 = 2400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 27450889381748515239681214814348982025571141 1561539239557674168396990083650855557868609811447409084791621542856611
Info:Square Root: Total cpu/real time for sqrt: 43.22/13.4846
Info:Generate Free Relations: Total cpu/real time for freerel: 59.04/16.8194
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.48/81.11
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11630399
Info:Lattice Sieving: Average J: 1893.73 for 162452 special-q, max bucket fill -bkmult 1.0,1s:1.213220
Info:Lattice Sieving: Total time: 19768.8s
Info:Linear Algebra: Total cpu/real time for bwc: 956.51/249.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 580.93, WCT time 148.2, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8064 iterations)
Info:Linear Algebra: Lingen CPU time 35.89, WCT time 9.19
Info:Linear Algebra: Mksol: CPU time 317.11,  WCT time 83.48, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4096 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.68/45.2979
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 45.2s
Info:Filtering - Merging: Merged matrix has 255702 rows and total weight 43524571 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 51.69/14.4104
Info:Filtering - Merging: Total cpu/real time for replay: 7.87/6.52173
Info:Generate Factor Base: Total cpu/real time for makefb: 1.06/0.580638
Info:Quadratic Characters: Total cpu/real time for characters: 8.14/3.16219
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 98.63/83.6417
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 75.6s
Info:Square Root: Total cpu/real time for sqrt: 43.22/13.4846
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 37358.2/10522.6
Info:root: Cleaning up computation data in /tmp/cado.ic8nwyus
27450889381748515239681214814348982025571141 1561539239557674168396990083650855557868609811447409084791621542856611

cado-nfs-3.0.0

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

5828549934362127529870087336268810307633049869197945940778653334509821491248744461051981174601733466632116871200965292048587940687857437<136>

1036461216436976558662397192969005607977<40>
5623509921961986387117540470556652615662517216495177494544949176394844823517719998999341684416981<97>

Number: 32226_152
N = 5828549934362127529870087336268810307633049869197945940778653334509821491248744461051981174601733466632116871200965292048587940687857437 (136 digits)
SNFS difficulty: 154 digits.
Divisors found:
r1=1036461216436976558662397192969005607977 (pp40)
r2=5623509921961986387117540470556652615662517216495177494544949176394844823517719998999341684416981 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.86 hours.
Factorization parameters were as follows:
n: 5828549934362127529870087336268810307633049869197945940778653334509821491248744461051981174601733466632116871200965292048587940687857437
m: 1000000000000000000000000000000
deg: 5
c5: 1450
c0: 17
skew: 0.41
# Murphy_E = 8.433e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 8153587
Relations: 790612 relations
Pruned matrix : 461289 x 461515
Polynomial selection time: 0.00 hours.
Total sieving time: 8.70 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 8.86 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

84403222219368399415307444302848871029786641328292033979044163393389180188753789243339866013022617211930295379052111675796399844964607743<137>

154476969629132691058758627298953907143220453514612515617499<60>
546380618560832136198775366491343967254877839534155809222923667095698690339757<78>

Number: n
N=84403222219368399415307444302848871029786641328292033979044163393389180188753789243339866013022617211930295379052111675796399844964607743  ( 137 digits)
SNFS difficulty: 154 digits.
Divisors found:

Tue Jun 14 01:56:41 2022  p60 factor: 154476969629132691058758627298953907143220453514612515617499
Tue Jun 14 01:56:41 2022  p78 factor: 546380618560832136198775366491343967254877839534155809222923667095698690339757
Tue Jun 14 01:56:41 2022  elapsed time 00:06:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 29x10^153+34 = 32(152)6
#
n: 84403222219368399415307444302848871029786641328292033979044163393389180188753789243339866013022617211930295379052111675796399844964607743
m: 1000000000000000000000000000000
deg: 5
c5: 14500
c0: 17
skew: 0.26
# Murphy_E = 8.07e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1301950 hash collisions in 13996806 relations (13600268 unique)
Msieve: matrix is 381774 x 381999 (128.0 MB)

Sieving start time : 2022/06/14 01:11:35
Sieving end time  : 2022/06/14 01:50:26

Total sieving time: 0hrs 38min 51secs.

Total relation processing time: 0hrs 2min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

1736220941835754923611120613375102589233634257491348095516053749512624210314066137578673753<91>

93831108878454097705515434632661<32>
18503681375915546007416637230103198576202749823719897619573<59>

fac: factoring 1736220941835754923611120613375102589233634257491348095516053749512624210314066137578673753
fac: using pretesting plan: normal
fac: no tune info: using qs/gnfs crossover of 95 digits
div: primes less than 10000
fmt: 1000000 iterations
rho: x^2 + 3, starting 1000 iterations on C91
rho: x^2 + 2, starting 1000 iterations on C91
rho: x^2 + 1, starting 1000 iterations on C91
pm1: starting B1 = 150K, B2 = gmp-ecm default on C91
ecm: 30/30 curves on C91, B1=2K, B2=gmp-ecm default
ecm: 74/74 curves on C91, B1=11K, B2=gmp-ecm default
ecm: 178/214 curves on C91, B1=50K, B2=gmp-ecm default, ETA: 3 sec
Total factoring time = 16.9857 seconds


***factors found***

P32 = 93831108878454097705515434632661
P59 = 18503681375915546007416637230103198576202749823719897619573

Yafu 1.34

Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

11622731677901973774122311353678569587985276959061242683750686303035181777151728603080614324672322568827461242907388603126140358576257528041<140>

75899860914633086961648756061002320129<38>
153132450281752404535685701913856953681622548047268869975975879591480344427308666256103340234273226729<102>

Number: n
N=11622731677901973774122311353678569587985276959061242683750686303035181777151728603080614324672322568827461242907388603126140358576257528041  ( 140 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon Jun 13 12:49:03 2022  p38 factor: 75899860914633086961648756061002320129
Mon Jun 13 12:49:03 2022  p102 factor: 153132450281752404535685701913856953681622548047268869975975879591480344427308666256103340234273226729
Mon Jun 13 12:49:03 2022  elapsed time 00:06:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 29x10^155+34 = 32(154)6
#
n: 11622731677901973774122311353678569587985276959061242683750686303035181777151728603080614324672322568827461242907388603126140358576257528041
m: 10000000000000000000000000000000
deg: 5
c5: 29
c0: 34
skew: 1.03
# Murphy_E = 7.143e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1299746 hash collisions in 13536664 relations (13093225 unique)
Msieve: matrix is 423006 x 423232 (141.9 MB)

Sieving start time : 2022/06/13 11:58:09
Sieving end time  : 2022/06/13 12:42:42

Total sieving time: 0hrs 44min 33secs.

Total relation processing time: 0hrs 2min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

595945803232730986047477785969365892604263521324353137635864101327428010501989479898326173165563084328932714435074290199532038089247<132>

25485804691298652435771443026532987184013<41>
23383440721265451391093166968713079995573006269266874675012079852998476055880468064973661019<92>

595945803232730986047477785969365892604263521324353137635864101327428010501989479898326173165563084328932714435074290199532038089247=25485804691298652435771443026532987184013*23383440721265451391093166968713079995573006269266874675012079852998476055880468064973661019

cado polynomial
n: 595945803232730986047477785969365892604263521324353137635864101327428010501989479898326173165563084328932714435074290199532038089247
skew: 0.26
type: snfs
c0: 17
c5: 14500
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 14500*x^5+17
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3100000
tasks.lim1 = 3100000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 23383440721265451391093166968713079995573006269266874675012079852998476055880468064973661019 25485804691298652435771443026532987184013
Info:Square Root: Total cpu/real time for sqrt: 75.96/23.7927
Info:Quadratic Characters: Total cpu/real time for characters: 11.5/4.52693
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.46/86.5341
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.8s
Info:Square Root: Total cpu/real time for sqrt: 75.96/23.7927
Info:Linear Algebra: Total cpu/real time for bwc: 2027.62/522.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1254.64, WCT time 320.01, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Linear Algebra: Lingen CPU time 57.14, WCT time 14.64
Info:Linear Algebra: Mksol: CPU time 681.55,  WCT time 173.82, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5888 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 78.91/71.4233
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11628403
Info:Lattice Sieving: Average J: 1894.1 for 310516 special-q, max bucket fill -bkmult 1.0,1s:1.258830
Info:Lattice Sieving: Total time: 35736s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.34/17.847
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.82/47.8791
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.8s
Info:Filtering - Merging: Merged matrix has 372798 rows and total weight 63625755 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 76.28/21.3663
Info:Filtering - Merging: Total cpu/real time for replay: 11.66/9.69732
Info:Generate Factor Base: Total cpu/real time for makefb: 1.37/0.754107
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 68001.5/18842.2
Info:root: Cleaning up computation data in /tmp/cado.ii8_gedv
23383440721265451391093166968713079995573006269266874675012079852998476055880468064973661019 25485804691298652435771443026532987184013

cado-nfs-3.0.0

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

617635688778554987849746220733682947456588440157286032843182044783088273294244784721381866923672775408474409189506360162021992701<129>

134929050339146889461322644676433341727108931805500377<54>
4577484887250856852415435538156425734121405254685156746619552575303397481413<76>

617635688778554987849746220733682947456588440157286032843182044783088273294244784721381866923672775408474409189506360162021992701=134929050339146889461322644676433341727108931805500377*4577484887250856852415435538156425734121405254685156746619552575303397481413

cado polynomial
n: 617635688778554987849746220733682947456588440157286032843182044783088273294244784721381866923672775408474409189506360162021992701
skew: 0.82
type: snfs
c0: 85
c5: 232
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 232*x^5+85
# g(x) = -x+50000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
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: 4577484887250856852415435538156425734121405254685156746619552575303397481413 134929050339146889461322644676433341727108931805500377
Info:Square Root: Total cpu/real time for sqrt: 82.18/26.0634
Info:Generate Free Relations: Total cpu/real time for freerel: 59.67/16.7856
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.85/70.2154
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11658285
Info:Lattice Sieving: Average J: 1892.74 for 244927 special-q, max bucket fill -bkmult 1.0,1s:1.259680
Info:Lattice Sieving: Total time: 29798.4s
Info:Linear Algebra: Total cpu/real time for bwc: 2280.7/590.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1405.83, WCT time 360.71, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 63.82, WCT time 16.27
Info:Linear Algebra: Mksol: CPU time 774.67,  WCT time 198.68, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.96/49.4781
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.4s
Info:Filtering - Merging: Merged matrix has 404979 rows and total weight 69030206 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 83.48/23.5385
Info:Filtering - Merging: Total cpu/real time for replay: 13.19/11.0192
Info:Generate Factor Base: Total cpu/real time for makefb: 1.49/0.808419
Info:Quadratic Characters: Total cpu/real time for characters: 13.13/5.17541
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.61/87.3295
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.4s
Info:Square Root: Total cpu/real time for sqrt: 82.18/26.0634
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 57535.7/15952.8
Info:root: Cleaning up computation data in /tmp/cado.6zmg4xnl
4577484887250856852415435538156425734121405254685156746619552575303397481413 134929050339146889461322644676433341727108931805500377

cado-nfs-3.0.0

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

65091603405283999083342995913400466798884520450807905713527290000598055244294445435058166670334455589501412072114240238952291961151<131>

13660029735734518434342972601233769686641631498444793<53>
4765114327314012597804864170582230039574808101571913263255998614779856108073207<79>

65091603405283999083342995913400466798884520450807905713527290000598055244294445435058166670334455589501412072114240238952291961151=13660029735734518434342972601233769686641631498444793*4765114327314012597804864170582230039574808101571913263255998614779856108073207

cado polynomial
n: 65091603405283999083342995913400466798884520450807905713527290000598055244294445435058166670334455589501412072114240238952291961151
skew: 1.03
type: snfs
c0: 34
c5: 29
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 29*x^5+34
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
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: 4765114327314012597804864170582230039574808101571913263255998614779856108073207 13660029735734518434342972601233769686641631498444793
Info:Square Root: Total cpu/real time for sqrt: 86.57/27.7006
Info:Quadratic Characters: Total cpu/real time for characters: 15/5.92162
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.15/89.8091
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.0s
Info:Square Root: Total cpu/real time for sqrt: 86.57/27.7006
Info:Linear Algebra: Total cpu/real time for bwc: 2963.63/763.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1840.96, WCT time 469.86, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 74.03, WCT time 18.89
Info:Linear Algebra: Mksol: CPU time 1007.23,  WCT time 257.29, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 69.72/67.8231
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11650740
Info:Lattice Sieving: Average J: 1894.53 for 298753 special-q, max bucket fill -bkmult 1.0,1s:1.236700
Info:Lattice Sieving: Total time: 35085.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.01/17.6157
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.63/47.5729
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.5s
Info:Filtering - Merging: Merged matrix has 459459 rows and total weight 78286816 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 94.56/26.559
Info:Filtering - Merging: Total cpu/real time for replay: 14.92/12.4692
Info:Generate Factor Base: Total cpu/real time for makefb: 1.48/0.930525
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 67877/18678.7
Info:root: Cleaning up computation data in /tmp/cado.rmkt5br9
4765114327314012597804864170582230039574808101571913263255998614779856108073207 13660029735734518434342972601233769686641631498444793

cado-nfs-3.0.0

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

3256677874130523157225669808799319017426595603709468397871704859637183624974451923573631240749350348913729480121912051729520549637385763601122093976493523703<157>

791671296919220127932165097859616473213549527257<48>
4113674307511018984833991341574682255208333309635130371423113578739795168357179291614704483192518147535667279<109>

Number: n
N=3256677874130523157225669808799319017426595603709468397871704859637183624974451923573631240749350348913729480121912051729520549637385763601122093976493523703  ( 157 digits)
SNFS difficulty: 162 digits.
Divisors found:

Wed Jun 15 05:07:51 2022  p48 factor: 791671296919220127932165097859616473213549527257
Wed Jun 15 05:07:51 2022  p109 factor: 4113674307511018984833991341574682255208333309635130371423113578739795168357179291614704483192518147535667279
Wed Jun 15 05:07:51 2022  elapsed time 00:08:02 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 29x10^161+34 = 32(160)6
#
n: 3256677874130523157225669808799319017426595603709468397871704859637183624974451923573631240749350348913729480121912051729520549637385763601122093976493523703
m: 100000000000000000000000000000000
deg: 5
c5: 145
c0: 17
skew: 0.65
# Murphy_E = 4.698e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1068056 hash collisions in 12327723 relations (12049724 unique)
Msieve: matrix is 508099 x 508324 (174.3 MB)

Sieving start time : 2022/06/15 04:14:03
Sieving end time  : 2022/06/15 04:59:33

Total sieving time: 0hrs 45min 30secs.

Total relation processing time: 0hrs 4min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 1sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

9759644134574587601490026857086184091673439540243466244794274430241444574443609360255862272764779103123<103>

44218132635727832270810884220035065151932921803549<50>
220715881762245373482470336368045721759233166362927727<54>

9759644134574587601490026857086184091673439540243466244794274430241444574443609360255862272764779103123=44218132635727832270810884220035065151932921803549*220715881762245373482470336368045721759233166362927727

cado polynomial
n: 9759644134574587601490026857086184091673439540243466244794274430241444574443609360255862272764779103123
skew: 3471.011
c0: 30416447022992406331585
c1: 29027112757930815197
c2: -17682307571779922
c3: -1342425312925
c4: 725960697
c5: 45360
Y0: -13891836629972601722
Y1: 14776488278708183
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.909e-06
# f(x) = 45360*x^5+725960697*x^4-1342425312925*x^3-17682307571779922*x^2+29027112757930815197*x+30416447022992406331585
# g(x) = 14776488278708183*x-13891836629972601722

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
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: 220715881762245373482470336368045721759233166362927727 44218132635727832270810884220035065151932921803549
Info:Square Root: Total cpu/real time for sqrt: 100.92/73.5498
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 41.21/70.6002
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 59.599999999999994s
Info:Square Root: Total cpu/real time for sqrt: 100.92/73.5498
Info:Filtering - Singleton removal: Total cpu/real time for purge: 16.84/26.5778
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4631890
Info:Lattice Sieving: Average J: 1893.23 for 36681 special-q, max bucket fill -bkmult 1.0,1s:1.309430
Info:Lattice Sieving: Total time: 7273.91s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/1.26576
Info:Linear Algebra: Total cpu/real time for bwc: 677.59/596.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 285.12, WCT time 239.52, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6144 iterations)
Info:Linear Algebra: Lingen CPU time 214.63, WCT time 182.62
Info:Linear Algebra: Mksol: CPU time 162.25,  WCT time 159.48, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3072 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.61/40.7229
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.62/31.105
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 155.2
Info:Polynomial Selection (root optimized): Rootsieve time: 154.58
Info:Filtering - Merging: Merged matrix has 196075 rows and total weight 28538734 (145.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 27.49/21.9151
Info:Filtering - Merging: Total cpu/real time for replay: 6.61/7.40492
Info:Quadratic Characters: Total cpu/real time for characters: 7.34/5.91658
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10971/30.160/36.276/46.500/1.005
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7072/28.450/32.284/36.870/0.885
Info:Polynomial Selection (size optimized): Total time: 519.95
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8283.83/5010.17
Info:root: Cleaning up computation data in /tmp/cado.i9ladgqa
220715881762245373482470336368045721759233166362927727 44218132635727832270810884220035065151932921803549

cado-nfs-3.0.0

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

83345738905865893357196153298483885290142970920095544472968914473948004579367237876746587715947351832379499568934882313<119>

6150273102095788836787116833789986603954551379<46>
13551550886002884049028448251898457812080290891971023284065069281901882547<74>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 83345738905865893357196153298483885290142970920095544472968914473948004579367237876746587715947351832379499568934882313 (119 digits)
Using B1=26440000, B2=144285831706, polynomial Dickson(12), sigma=1:3657073843
Step 1 took 38442ms
Step 2 took 17481ms
********** Factor found in step 2: 6150273102095788836787116833789986603954551379
Found prime factor of 46 digits: 6150273102095788836787116833789986603954551379
Prime cofactor 13551550886002884049028448251898457812080290891971023284065069281901882547 has 74 digits

1300265865024796247709016315998413883928987830609131076339748174869275881047200360400393454971869456539424636224316949907370555434614517963639<142>

4442366216550120741405279337527931<34>
292696684974019199673348449925046084863597809579251686782296828628241894638079759675654765782802618336444469<108>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1300265865024796247709016315998413883928987830609131076339748174869275881047200360400393454971869456539424636224316949907370555434614517963639 (142 digits)
Using B1=16820000, B2=58559116990, polynomial Dickson(12), sigma=1:3166913476
Step 1 took 33348ms
Step 2 took 14302ms
********** Factor found in step 2: 4442366216550120741405279337527931
Found prime factor of 34 digits: 4442366216550120741405279337527931
Prime cofactor 292696684974019199673348449925046084863597809579251686782296828628241894638079759675654765782802618336444469 has 108 digits

42776589893325349609091408440276961361417663110969773419989195498259928412517738277964858304353227079693100635651728335795242925949<131>

3989859304479977092050021496131593670073448887617095530379<58>
10721327903792007453432390022861587654382621678666822217305793827955639831<74>

42776589893325349609091408440276961361417663110969773419989195498259928412517738277964858304353227079693100635651728335795242925949=3989859304479977092050021496131593670073448887617095530379*10721327903792007453432390022861587654382621678666822217305793827955639831

cado polynomial
n: 42776589893325349609091408440276961361417663110969773419989195498259928412517738277964858304353227079693100635651728335795242925949
skew: 0.65
type: snfs
c0: 17
c5: 145
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 145*x^5+17
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
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: 3989859304479977092050021496131593670073448887617095530379 10721327903792007453432390022861587654382621678666822217305793827955639831
Info:Square Root: Total cpu/real time for sqrt: 120.24/38.0502
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.65/62.6094
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11630291
Info:Lattice Sieving: Average J: 1893.35 for 398094 special-q, max bucket fill -bkmult 1.0,1s:1.243850
Info:Lattice Sieving: Total time: 49970.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.11/17.2101
Info:Linear Algebra: Total cpu/real time for bwc: 5127.34/1317.79
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3189.6, WCT time 814.35, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Linear Algebra: Lingen CPU time 100.23, WCT time 25.45
Info:Linear Algebra: Mksol: CPU time 1749.79,  WCT time 446.62, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.58/48.6455
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.6s
Info:Filtering - Merging: Merged matrix has 577566 rows and total weight 98239614 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 122.06/34.0716
Info:Filtering - Merging: Total cpu/real time for replay: 19.19/16.0479
Info:Generate Factor Base: Total cpu/real time for makefb: 1.87/1.01292
Info:Quadratic Characters: Total cpu/real time for characters: 18.72/7.39643
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.88/88.9654
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.5s
Info:Square Root: Total cpu/real time for sqrt: 120.24/38.0502
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 97806.2/26811.5
Info:root: Cleaning up computation data in /tmp/cado.tsgf_sun
3989859304479977092050021496131593670073448887617095530379 10721327903792007453432390022861587654382621678666822217305793827955639831

cado-nfs-3.0.0

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

3908330971248870175957873719880425063489311830294794703155336299683612049939065103989871927229789639494720200332486607323969268924656153571<139>

66047115684740231613799262177<29>
59174892510133721553882164573912289143720506532613456346243967583220760085911770271102047684212477091719955523<110>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3908330971248870175957873719880425063489311830294794703155336299683612049939065103989871927229789639494720200332486607323969268924656153571 (139 digits)
Using B1=100000, B2=40868532, polynomial x^2, sigma=1:263209405
Step 1 took 169ms
Step 2 took 121ms
********** Factor found in step 2: 66047115684740231613799262177
Found prime factor of 29 digits: 66047115684740231613799262177
Prime cofactor 59174892510133721553882164573912289143720506532613456346243967583220760085911770271102047684212477091719955523 has 110 digits

GMP-ECM 7.0.4

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

3272475816263596538527459668093856929885707618556933188263703354467849302402544051454717729549067379224366008089368912448370981176610952691136327306393<151>

8907951380477352553844469994531371951996373786806636894667397<61>
367365702448213584913946538660659564868561660853197597033991162199464281353589955426648069<90>

Number: n
N=3272475816263596538527459668093856929885707618556933188263703354467849302402544051454717729549067379224366008089368912448370981176610952691136327306393  ( 151 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sun Jun 19 15:43:52 2022  p61 factor: 8907951380477352553844469994531371951996373786806636894667397
Sun Jun 19 15:43:52 2022  p90 factor: 367365702448213584913946538660659564868561660853197597033991162199464281353589955426648069
Sun Jun 19 15:43:52 2022  elapsed time 00:13:41 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 29x10^168+34 = 32(167)6
#
n: 3272475816263596538527459668093856929885707618556933188263703354467849302402544051454717729549067379224366008089368912448370981176610952691136327306393
m: 1000000000000000000000000000000000
deg: 5
c5: 14500
c0: 17
skew: 0.26
# Murphy_E = 2.114e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1225719 hash collisions in 12473152 relations (12017372 unique)
Msieve: matrix is 753944 x 754169 (262.2 MB)

Sieving start time : 2022/06/19 14:24:34
Sieving end time  : 2022/06/19 15:29:56

Total sieving time: 1hrs 5min 22secs.

Total relation processing time: 0hrs 8min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 1sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

130656263365597038874671615243102167435873025187021827360811742579611634085828199270401140249833724806124587421832196534638998848332492562291<141>

230755909089805751263535903716489787934946807715126069501<57>
566209827002731877985818258879875979860193422183236599904827735236510555062225087791<84>

130656263365597038874671615243102167435873025187021827360811742579611634085828199270401140249833724806124587421832196534638998848332492562291=230755909089805751263535903716489787934946807715126069501*566209827002731877985818258879875979860193422183236599904827735236510555062225087791

cado polynomial
n: 130656263365597038874671615243102167435873025187021827360811742579611634085828199270401140249833724806124587421832196534638998848332492562291
skew: 0.82
type: snfs
c0: 85
c5: 232
Y0: 5000000000000000000000000000000000
Y1: -1
# f(x) = 232*x^5+85
# g(x) = -x+5000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4900000
tasks.lim1 = 4900000
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: 230755909089805751263535903716489787934946807715126069501 566209827002731877985818258879875979860193422183236599904827735236510555062225087791
Info:Square Root: Total cpu/real time for sqrt: 199.66/63.8224
Info:Quadratic Characters: Total cpu/real time for characters: 29.25/11.5608
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 105.82/92.4905
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.1s
Info:Square Root: Total cpu/real time for sqrt: 199.66/63.8224
Info:Linear Algebra: Total cpu/real time for bwc: 10152/2617.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6405.14, WCT time 1644.8, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Linear Algebra: Lingen CPU time 146.86, WCT time 37.36
Info:Linear Algebra: Mksol: CPU time 3471.53,  WCT time 888.1, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.62/53.8929
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11645439
Info:Lattice Sieving: Average J: 1892.93 for 443980 special-q, max bucket fill -bkmult 1.0,1s:1.177030
Info:Lattice Sieving: Total time: 57587.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.24/50.7469
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.79/17.6519
Info:Filtering - Merging: Merged matrix has 811672 rows and total weight 138653748 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 183.19/51.8252
Info:Filtering - Merging: Total cpu/real time for replay: 29.82/25.0145
Info:Generate Factor Base: Total cpu/real time for makefb: 2.13/1.15431
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 117410/31956.5
Info:root: Cleaning up computation data in /tmp/cado.wt95uwzn
230755909089805751263535903716489787934946807715126069501 566209827002731877985818258879875979860193422183236599904827735236510555062225087791

cado-nfs-3.0.0

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

1291196560873439010152770199834644215166664747168847736797353925120552533827485997129440782741122476142164907892806301850360840536994576780091904905316771<154>

50259733509299669017940081671341212710762855447<47>
100808875212246086901818663906400277792061820343<48>
254843411406183834767639086643739973429168480991505154234451<60>

Number: n
N=1291196560873439010152770199834644215166664747168847736797353925120552533827485997129440782741122476142164907892806301850360840536994576780091904905316771  ( 154 digits)
SNFS difficulty: 172 digits.
Divisors found:

Wed Jun 15 13:55:33 2022  found factor: 254843411406183834767639086643739973429168480991505154234451
Wed Jun 15 13:56:30 2022  p47 factor: 50259733509299669017940081671341212710762855447
Wed Jun 15 13:56:30 2022  p48 factor: 100808875212246086901818663906400277792061820343
Wed Jun 15 13:56:30 2022  p60 factor: 254843411406183834767639086643739973429168480991505154234451
Wed Jun 15 13:56:30 2022  elapsed time 00:15:58 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 29x10^171+34 = 32(170)6
#
n: 1291196560873439010152770199834644215166664747168847736797353925120552533827485997129440782741122476142164907892806301850360840536994576780091904905316771
m: 10000000000000000000000000000000000
deg: 5
c5: 145
c0: 17
skew: 0.65
# Murphy_E = 1.899e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1182754 hash collisions in 12046633 relations (11603504 unique)
Msieve: matrix is 851866 x 852092 (295.0 MB)

Sieving start time : 2022/06/15 12:23:08
Sieving end time  : 2022/06/15 13:40:17

Total sieving time: 1hrs 17min 9secs.

Total relation processing time: 0hrs 10min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 54sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

1982726917673757138824471052543027615303163988833412303628173541087719471568288436798676206140578952894153789426397486528286251<127>

216818122392141942903489735091<30>
9144654956875580616150031651239370481644905532454429964272029673553403011441461773955028866702761<97>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2450922300
Step 1 took 4641ms
Step 2 took 2813ms
********** Factor found in step 2: 216818122392141942903489735091
Found prime factor of 30 digits: 216818122392141942903489735091
Prime cofactor 9144654956875580616150031651239370481644905532454429964272029673553403011441461773955028866702761 has 97 digits

GMP-ECM

685036432835111824656142578965418805940086413620106022589688857348482493817512604120971173628503280164702219222284571563643100954063769475219401139218821<153>

381506398295303408911489493124249883<36>
1795609289637292741688468215913013622161967165186425193013729868050647203049002039452777956953807674436618990307013087<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:103515087
Step 1 took 5875ms
Step 2 took 3562ms
********** Factor found in step 2: 381506398295303408911489493124249883
Found prime factor of 36 digits: 381506398295303408911489493124249883
Prime cofactor 1795609289637292741688468215913013622161967165186425193013729868050647203049002039452777956953807674436618990307013087 has 118 digits

GMP-ECM

4579207288181775211983472846645846451405457233068507028624818893128413183469953408917594273655317830006236803939676281117182649465460210924097<142>

9965114034631276242034385089019251979<37>
459523822032329865106050032720607368518229592877247393297279614731595392049899722377408904006175407091043<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3440840861
Step 1 took 5969ms
Step 2 took 3360ms
********** Factor found in step 2: 9965114034631276242034385089019251979
Found prime factor of 37 digits: 9965114034631276242034385089019251979
Prime cofactor 459523822032329865106050032720607368518229592877247393297279614731595392049899722377408904006175407091043 has 105 digits
 

GMP-ECM

84795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427<176>

6079900222141932312247649032498785065159<40>
1317561754896990886368219395831010173904264551561683444029619<61>
10585331412918790158656530345837359538664117986322183936516231503158029216887<77>

Number: n
N=84795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427  ( 176 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat Jun 18 00:43:19 2022  found factor: 10585331412918790158656530345837359538664117986322183936516231503158029216887
Sat Jun 18 00:44:27 2022  p40 factor: 6079900222141932312247649032498785065159
Sat Jun 18 00:44:27 2022  p61 factor: 1317561754896990886368219395831010173904264551561683444029619
Sat Jun 18 00:44:27 2022  p77 factor: 10585331412918790158656530345837359538664117986322183936516231503158029216887
Sat Jun 18 00:44:27 2022  elapsed time 00:26:30 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 29x10^177+34 = 32(176)6
#
n: 84795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637427
m: 100000000000000000000000000000000000
deg: 5
c5: 1450
c0: 17
skew: 0.41
# Murphy_E = 8.849e-11
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4692953 hash collisions in 30189236 relations (26902921 unique)
Msieve: matrix is 1032717 x 1032943 (349.8 MB)

Sieving start time : 2022/06/17 22:00:28
Sieving end time  : 2022/06/18 00:17:29

Total sieving time: 2hrs 17min 1secs.

Total relation processing time: 0hrs 17min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 16sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

21117676113284603179606058325854957051254228525598471730440682251090797624322958343953618676298940292914378813887780820948925229211263262605896226944183<152>

87658022014115364951163768641948600509<38>
2798428320571138780808713936320160346066295137<46>
86087534644474294949517292120211000056074003564836681809106382871651<68>

21117676113284603179606058325854957051254228525598471730440682251090797624322958343953618676298940292914378813887780820948925229211263262605896226944183=87658022014115364951163768641948600509*2798428320571138780808713936320160346066295137*86087534644474294949517292120211000056074003564836681809106382871651

cado polynomial
n: 21117676113284603179606058325854957051254228525598471730440682251090797624322958343953618676298940292914378813887780820948925229211263262605896226944183
skew: 0.26
type: snfs
c0: 17
c5: 14500
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 14500*x^5+17
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6800000
tasks.lim1 = 6800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 87658022014115364951163768641948600509 86087534644474294949517292120211000056074003564836681809106382871651 2798428320571138780808713936320160346066295137
Info:Square Root: Total cpu/real time for sqrt: 559.64/169.397
Info:Filtering - Singleton removal: Total cpu/real time for purge: 110.93/115.468
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22418499
Info:Lattice Sieving: Average J: 1893.97 for 1087630 special-q, max bucket fill -bkmult 1.0,1s:1.175080
Info:Lattice Sieving: Total time: 173347s
Info:Linear Algebra: Total cpu/real time for bwc: 20052.7/5149.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12733.06, WCT time 3257.46, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35584 iterations)
Info:Linear Algebra: Lingen CPU time 224.85, WCT time 57.0
Info:Linear Algebra: Mksol: CPU time 6905.23,  WCT time 1765.34, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17920 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 117.71/32.2534
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.1/105.506
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.4s
Info:Filtering - Merging: Merged matrix has 1131636 rows and total weight 193685856 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 272.58/75.7608
Info:Filtering - Merging: Total cpu/real time for replay: 40.12/33.9315
Info:Generate Factor Base: Total cpu/real time for makefb: 2.92/1.61099
Info:Quadratic Characters: Total cpu/real time for characters: 38.02/15.0499
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 215.03/178.846
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.2s
Info:Square Root: Total cpu/real time for sqrt: 559.64/169.397
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 344267/92946.6
Info:root: Cleaning up computation data in /tmp/cado.ei51bhcw
87658022014115364951163768641948600509 86087534644474294949517292120211000056074003564836681809106382871651 2798428320571138780808713936320160346066295137

cado-nfs-3.0.0

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

3929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393<178>

2329881904534559647353615411495121223207913481877347<52>
1686583035708823933909654642248840229820066168406163739030775484897259873756384655850553726202262809463873057798056323737221419<127>

Number: n
N=3929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393  ( 178 digits)
SNFS difficulty: 180 digits.
Divisors found:

Fri Jun 17 20:21:52 2022  p52 factor: 2329881904534559647353615411495121223207913481877347
Fri Jun 17 20:21:52 2022  p127 factor: 1686583035708823933909654642248840229820066168406163739030775484897259873756384655850553726202262809463873057798056323737221419
Fri Jun 17 20:21:52 2022  elapsed time 00:21:29 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 29x10^179+34 = 32(178)6
#
n: 3929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393
m: 500000000000000000000000000000000000
deg: 5
c5: 232
c0: 85
skew: 0.82
# Murphy_E = 8.355e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3003045 hash collisions in 28776565 relations (27537553 unique)
Msieve: matrix is 872026 x 872255 (297.8 MB)

Sieving start time : 2022/06/17 14:54:37
Sieving end time  : 2022/06/17 19:59:24

Total sieving time: 5hrs 4min 47secs.

Total relation processing time: 0hrs 11min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

312787365353769039876691337950409093673227916636797864258068541399636996627946921339739949022294125042579800018807816108472829800368342723904230589149<150>

2174193792609917791814657<25>

143863608854432818305879946534617259135759142720516693640783394024316427329691119029805032785317233731671264468943902708584157<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2737148764
Step 1 took 4938ms
Step 2 took 3000ms
********** Factor found in step 2: 2174193792609917791814657
Found prime factor of 25 digits: 2174193792609917791814657
Composite cofactor 143863608854432818305879946534617259135759142720516693640783394024316427329691119029805032785317233731671264468943902708584157 has 126 digits
 

GMP-ECM

143863608854432818305879946534617259135759142720516693640783394024316427329691119029805032785317233731671264468943902708584157<126>

2687193624147445942642957791860071506693723617<46>
53536748361434427837005548559281179817609430059173296046445017687749089947754621<80>

Number: 32226_180
N = 312787365353769039876691337950409093673227916636797864258068541399636996627946921339739949022294125042579800018807816108472829800368342723904230589149 (150 digits)
SNFS difficulty: 182 digits.
Divisors found:
r1=2174193792609917791814657 (pp25)
r2=2687193624147445942642957791860071506693723617 (pp46)
r3=53536748361434427837005548559281179817609430059173296046445017687749089947754621 (pp80)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 7.32 hours.
Factorization parameters were as follows:
n: 312787365353769039876691337950409093673227916636797864258068541399636996627946921339739949022294125042579800018807816108472829800368342723904230589149 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 29
c0: 34
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 5000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 50000000
maxb: 10000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/5000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 0
Relations: 4229708 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.33 hours.
Total relation processing time: 0.16 hours.
Pruned matrix : 4054009 x 4054234
Matrix solve time: 5.72 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,182,3,0,0,0,0,0,0,0,0,10000000,5000000,29,26,58,52,2.8,2.8,100000
total time: 7.32 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

137535380237131719959228929467398542574162903324646849889103137673794936553536810041110615950555193674053476212683203790603417667957<132>

88996448171003429594091678223351696174531410625682580967<56>
1545403025218068282251609678433307339584338216758528644040694532676908347971<76>

Number: 32226_181
N = 137535380237131719959228929467398542574162903324646849889103137673794936553536810041110615950555193674053476212683203790603417667957 (132 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=88996448171003429594091678223351696174531410625682580967 (pp56)
r2=1545403025218068282251609678433307339584338216758528644040694532676908347971 (pp76)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 10.53 hours.
Factorization parameters were as follows:
n: 137535380237131719959228929467398542574162903324646849889103137673794936553536810041110615950555193674053476212683203790603417667957 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 145
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 10000000
maxb: 10000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 17892172
Relations: 4923012 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 2.25 hours.
Total relation processing time: 0.31 hours.
Pruned matrix : 3813315 x 3813563
Matrix solve time: 7.91 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,183,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 10.53 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

82588958904089512350298781369043307711188243014770419086225191234330427641953365870156003534034067955558147380310345328073748206321295711<137>

13865188907233095037<20>
5956569323120082434772487214729512571890185523083815502160118164032544422842736524044773493887788692956735205416513803<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:361127230
Step 1 took 5797ms
********** Factor found in step 1: 13865188907233095037
Found prime factor of 20 digits: 13865188907233095037
Prime cofactor 5956569323120082434772487214729512571890185523083815502160118164032544422842736524044773493887788692956735205416513803 has 118 digits
 

GMP-ECM

1158357663660479709535679625707702308480661319526687525017939148188286790255808056962200573099887235929195422645571270491444622633661699603957094938487920933139063154133121<172>

1764606469178323655470423983744553114678325364667426238509<58>
656439656032690759945401997634129758945092373299701122972012544661734643680127611020734929077288298245623369964069<114>

Number: n
N=1158357663660479709535679625707702308480661319526687525017939148188286790255808056962200573099887235929195422645571270491444622633661699603957094938487920933139063154133121  ( 172 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Jun 21 21:05:10 2022  p58 factor: 1764606469178323655470423983744553114678325364667426238509
Tue Jun 21 21:05:10 2022  p114 factor: 656439656032690759945401997634129758945092373299701122972012544661734643680127611020734929077288298245623369964069
Tue Jun 21 21:05:10 2022  elapsed time 00:29:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 29x10^186+34 = 32(185)6
#
n: 1158357663660479709535679625707702308480661319526687525017939148188286790255808056962200573099887235929195422645571270491444622633661699603957094938487920933139063154133121
m: 10000000000000000000000000000000000000
deg: 5
c5: 145
c0: 17
skew: 0.65
# Murphy_E = 4.715e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3210763 hash collisions in 28771039 relations (27264593 unique)
Msieve: matrix is 1095795 x 1096021 (379.9 MB)

Sieving start time : 2022/06/21 16:42:02
Sieving end time  : 2022/06/21 20:34:34

Total sieving time: 3hrs 52min 32secs.

Total relation processing time: 0hrs 19min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

829480382654517193134719232589005118540383621405291591729549717489564693443243030778762004876509449071543443837682404809846684967063307596044403698079826709306077134250307306750249<180>

958276312639661281204310412882480477613059021211044078585885730547<66>
865596249968483815421947253943857348663934320659852338323804875655760004385188766974594325812113268378754103178867<114>

Number: n
N=829480382654517193134719232589005118540383621405291591729549717489564693443243030778762004876509449071543443837682404809846684967063307596044403698079826709306077134250307306750249  ( 180 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Jun 20 16:50:51 2022  p66 factor: 958276312639661281204310412882480477613059021211044078585885730547
Mon Jun 20 16:50:51 2022  p114 factor: 865596249968483815421947253943857348663934320659852338323804875655760004385188766974594325812113268378754103178867
Mon Jun 20 16:50:51 2022  elapsed time 00:41:41 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 29x10^187+34 = 32(186)6
#
n: 829480382654517193134719232589005118540383621405291591729549717489564693443243030778762004876509449071543443837682404809846684967063307596044403698079826709306077134250307306750249
m: 10000000000000000000000000000000000000
deg: 5
c5: 1450
c0: 17
skew: 0.41
# Murphy_E = 3.477e-11
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3431232 hash collisions in 28185864 relations (26333436 unique)
Msieve: matrix is 1259444 x 1259669 (435.7 MB)

Sieving start time : 2022/06/20 11:10:03
Sieving end time  : 2022/06/20 16:08:41

Total sieving time: 4hrs 58min 38secs.

Total relation processing time: 0hrs 27min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 12sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

1150023448924588671711803001508835041901089108009121255136284915627028812889342181553900248376956885926472752975844409653431306647923190245441373503120912143652110929099<169>

452243699027299440780953686267<30>
2542928627636154511091282167175602758313036939982866361534911684328247674703812794885947361790046674622804469760714526047609109189078403697<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2415304808
Step 1 took 7156ms
********** Factor found in step 1: 452243699027299440780953686267
Found prime factor of 30 digits: 452243699027299440780953686267
Prime cofactor 2542928627636154511091282167175602758313036939982866361534911684328247674703812794885947361790046674622804469760714526047609109189078403697 has 139 digits
 

GMP-ECM

61793752051055533098727350153728268258967860941943430556690291786240566148395764468809669721412746373912810275243672764979933246184187546795645055759441140077268577594403<170>

8710137352008010073546271004448590571<37>

7094463560532691117984581656198737144280325386110505367400935339582220042244728336221490128188190543896267334827927770979669676500393<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2729303176
Step 1 took 7125ms
Step 2 took 3843ms
********** Factor found in step 2: 8710137352008010073546271004448590571
Found prime factor of 37 digits: 8710137352008010073546271004448590571
Composite cofactor 7094463560532691117984581656198737144280325386110505367400935339582220042244728336221490128188190543896267334827927770979669676500393 has 133 digits

GMP-ECM

7094463560532691117984581656198737144280325386110505367400935339582220042244728336221490128188190543896267334827927770979669676500393<133>

128034912264217650760388144841821378123848716925301<51>
55410383270246554491225983488729925233529331536905693813215868056342845638489227493<83>

7094463560532691117984581656198737144280325386110505367400935339582220042244728336221490128188190543896267334827927770979669676500393=
128034912264217650760388144841821378123848716925301*55410383270246554491225983488729925233529331536905693813215868056342845638489227493

cado polynomial
n: 7094463560532691117984581656198737144280325386110505367400935339582220042244728336221490128188190543896267334827927770979669676500393
skew: 147329.832
c0: 21769373212581021583283397893857
c1: -519987242029282526527070926
c2: -2721174663271485038929
c3: 11470125614847154
c4: 121141905444
c5: 405720
Y0: -34847549480364808560353144
Y1: 2415394104958848091
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.442e-07
# f(x) = 405720*x^5+121141905444*x^4+11470125614847154*x^3-2721174663271485038929*x^2-519987242029282526527070926*x+21769373212581021583283397893857
# g(x) = 2415394104958848091*x-34847549480364808560353144

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

cado log (extracts)
Info:Square Root: Factors: 55410383270246554491225983488729925233529331536905693813215868056342845638489227493 128034912264217650760388144841821378123848716925301
Info:Square Root: Total cpu/real time for sqrt: 804.66/237.297
Info:Generate Free Relations: Total cpu/real time for freerel: 247.4/62.6643
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.33/87.5581
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.4s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54640/39.620/47.729/53.480/0.993
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44651/38.640/42.527/48.390/0.976
Info:Polynomial Selection (size optimized): Total time: 11179.8
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 193.03/161.71
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.89999999999998s
Info:Square Root: Total cpu/real time for sqrt: 804.66/237.297
Info:Quadratic Characters: Total cpu/real time for characters: 40.45/16.687
Info:Generate Factor Base: Total cpu/real time for makefb: 15.22/4.04701
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.17/104.515
Info:Linear Algebra: Total cpu/real time for bwc: 22637.2/5812.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14350.51, WCT time 3670.0, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37888 iterations)
Info:Linear Algebra: Lingen CPU time 230.91, WCT time 58.52
Info:Linear Algebra: Mksol: CPU time 7852.29,  WCT time 2009.45, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18944 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6231.06
Info:Polynomial Selection (root optimized): Rootsieve time: 6228.6
Info:Filtering - Merging: Merged matrix has 1211718 rows and total weight 206457703 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 314.95/88.0554
Info:Filtering - Merging: Total cpu/real time for replay: 44.56/37.6258
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17020840
Info:Lattice Sieving: Average J: 3808.33 for 533747 special-q, max bucket fill -bkmult 1.0,1s:1.279850
Info:Lattice Sieving: Total time: 180447s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 379801/62691.2
55410383270246554491225983488729925233529331536905693813215868056342845638489227493 128034912264217650760388144841821378123848716925301

cado-nfs-3.0.0

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

8671402449391619552399563880131554409233718467252983892769567379209852101131532201854823292252053038253053889958379796465917710864958192562646031684585725467052479033075937<172>

5225519777734778682805829900860054946525936209<46>
89037191709816931835687658435855796834784431327511578573<56>
18637531623254521661860584118836920193988538264441021872596382398358741<71>

Number: n
N=8671402449391619552399563880131554409233718467252983892769567379209852101131532201854823292252053038253053889958379796465917710864958192562646031684585725467052479033075937  ( 172 digits)
SNFS difficulty: 192 digits.
Divisors found:

Fri Jun 24 05:36:00 2022  found factor: 89037191709816931835687658435855796834784431327511578573
Fri Jun 24 05:37:54 2022  found factor: 89037191709816931835687658435855796834784431327511578573
Fri Jun 24 05:39:48 2022  found factor: 89037191709816931835687658435855796834784431327511578573
Fri Jun 24 05:41:41 2022  p46 factor: 5225519777734778682805829900860054946525936209
Fri Jun 24 05:41:41 2022  p56 factor: 89037191709816931835687658435855796834784431327511578573
Fri Jun 24 05:41:41 2022  p71 factor: 18637531623254521661860584118836920193988538264441021872596382398358741
Fri Jun 24 05:41:41 2022  elapsed time 00:53:59 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 29x10^191+34 = 32(190)6
#
n: 8671402449391619552399563880131554409233718467252983892769567379209852101131532201854823292252053038253053889958379796465917710864958192562646031684585725467052479033075937
m: 100000000000000000000000000000000000000
deg: 5
c5: 145
c0: 17
skew: 0.65
# Murphy_E = 2.937e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3187612 hash collisions in 28080666 relations (26529590 unique)
Msieve: matrix is 1428797 x 1429022 (496.5 MB)

Sieving start time : 2022/06/23 23:45:09
Sieving end time  : 2022/06/24 04:47:14

Total sieving time: 5hrs 2min 5secs.

Total relation processing time: 0hrs 38min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 36sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

8365862869820655522853552881569786932265275060305468855128063463668902488527080502993717932193622823262558963213476727495126332047493964418429024643125047814937<160>

2251273684469200496249<22>

3716057682161881218122607210681216765330404164520631709515086583477985810456889610388376428771147283246847679431670393185688085926103761313<139>

p22:2251273684469200496249
c139:371605768216188121812260721068121676533040416452063170951508658347798581045688961038837642877114728324684767943167039318
5688085926103761313

ECM

3716057682161881218122607210681216765330404164520631709515086583477985810456889610388376428771147283246847679431670393185688085926103761313<139>

791727837926923378685595000604033267813564200586200404981<57>
4693604928547269305548254506408438855855157004039606659540516489825396644782331773<82>

3716057682161881218122607210681216765330404164520631709515086583477985810456889610388376428771147283246847679431670393185688085926103761313=791727837926923378685595000604033267813564200586200404981*4693604928547269305548254506408438855855157004039606659540516489825396644782331773

cado polynomial
n: 3716057682161881218122607210681216765330404164520631709515086583477985810456889610388376428771147283246847679431670393185688085926103761313
skew: 1.03
type: snfs
c0: 34
c6: 29
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 29*x^6+34
# g(x) = -x+100000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 791727837926923378685595000604033267813564200586200404981 4693604928547269305548254506408438855855157004039606659540516489825396644782331773
Info:Square Root: Total cpu/real time for sqrt: 548.41/173.135
Info:Square Root: Total cpu/real time for sqrt: 548.41/173.135
Info:Generate Factor Base: Total cpu/real time for makefb: 7.65/3.1016
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.34/104.536
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 322.77/323.973
Info:Filtering - Merging: Merged matrix has 1940018 rows and total weight 330685021 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 528.79/145.439
Info:Filtering - Merging: Total cpu/real time for replay: 75.54/68.6815
Info:Quadratic Characters: Total cpu/real time for characters: 68.78/29.5192
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24445200
Info:Lattice Sieving: Average J: 1893.57 for 1611133 special-q, max bucket fill -bkmult 1.0,1s:1.205740
Info:Lattice Sieving: Total time: 315987s
Info:Linear Algebra: Total cpu/real time for bwc: 62596.2/16078.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 40103.47, WCT time 10231.95, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60672 iterations)
Info:Linear Algebra: Lingen CPU time 394.63, WCT time 100.27
Info:Linear Algebra: Mksol: CPU time 21729.27,  WCT time 5591.49, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30464 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 181.73/48.2592
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 446.06/461.094
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 388.40000000000003s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 654164/175281
Info:root: Cleaning up computation data in /tmp/cado.2u7wpqdp
791727837926923378685595000604033267813564200586200404981 4693604928547269305548254506408438855855157004039606659540516489825396644782331773

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)

132188401156572447290827383423359517320942841114934055684315730853567171021200083318100432293270715207756147520745458664505029607224932649043742904239<150>

2800694411579098249909349959<28>

47198437862430509390636504903568584648802635531606656995360578670091758913737837161685432182428190228704109005727452888921<122>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 132188401156572447290827383423359517320942841114934055684315730853567171021200083318100432293270715207756147520745458664505029607224932649043742904239 (150 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1725682354
Step 1 took 1958ms
Step 2 took 1277ms
********** Factor found in step 2: 2800694411579098249909349959
Found prime factor of 28 digits: 2800694411579098249909349959
Composite cofactor 47198437862430509390636504903568584648802635531606656995360578670091758913737837161685432182428190228704109005727452888921 has 122 digits

GMP-ECM 7.0.4

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

47198437862430509390636504903568584648802635531606656995360578670091758913737837161685432182428190228704109005727452888921<122>

1919384461500364421462846444333069571190010330040633277<55>
24590403230385611892648586937931009964827538548812650260812361716173<68>

47198437862430509390636504903568584648802635531606656995360578670091758913737837161685432182428190228704109005727452888921=1919384461500364421462846444333069571190010330040633277*24590403230385611892648586937931009964827538548812650260812361716173

cado polynomial
n: 47198437862430509390636504903568584648802635531606656995360578670091758913737837161685432182428190228704109005727452888921
skew: 470094.008
c0: 15856869473300790294890130263214
c1: 202963466802644816016690619
c2: -537566254997502777594
c3: -1111943259361831
c4: 1072153872
c5: 1440
Y0: -721724712636747995946960
Y1: 4182254825763509
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.281e-06
# f(x) = 1440*x^5+1072153872*x^4-1111943259361831*x^3-537566254997502777594*x^2+202963466802644816016690619*x+15856869473300790294890130263214
# g(x) = 4182254825763509*x-721724712636747995946960

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: 24590403230385611892648586937931009964827538548812650260812361716173 1919384461500364421462846444333069571190010330040633277
Info:Square Root: Total cpu/real time for sqrt: 230.39/68.6316
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 187.32/178.314
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 105.17/121.696
Info:Linear Algebra: Total cpu/real time for bwc: 6255.24/1631.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3833.57, WCT time 997.27, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 145.85, WCT time 37.1
Info:Linear Algebra: Mksol: CPU time 2193.03,  WCT time 567.75, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13972156
Info:Lattice Sieving: Average J: 2000.67 for 296085 special-q, max bucket fill -bkmult 1.0,1s:1.268090
Info:Lattice Sieving: Total time: 37013.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/1.36471
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2011.24
Info:Polynomial Selection (root optimized): Rootsieve time: 2008.85
Info:Generate Free Relations: Total cpu/real time for freerel: 126.08/32.7429
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.42/63.2529
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 62.9s
Info:Filtering - Merging: Merged matrix has 802695 rows and total weight 81808688 (101.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 61.8/20.6297
Info:Filtering - Merging: Total cpu/real time for replay: 20.48/16.1589
Info:Quadratic Characters: Total cpu/real time for characters: 25.95/10.023
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): 20029/36.410/43.540/48.400/1.048
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16112/34.570/38.586/44.010/0.885
Info:Polynomial Selection (size optimized): Total time: 2233.48
Info:Square Root: Total cpu/real time for sqrt: 230.39/68.6316
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 79651.4/21753.6
Info:root: Cleaning up computation data in /tmp/cado.3vdot8eg
24590403230385611892648586937931009964827538548812650260812361716173 1919384461500364421462846444333069571190010330040633277

cado-nfs-3.0.0

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

2485761853109447911296800105619702272532292949142689352858621294822502265972969551941758429528492045529148077177679603555998863669262164336592499466583065678219413482530603<172>

35903205290317104215183321027<29>

69235095669295134696912352570785753975443717117014557477962733043417693302590682574143047676017181846663311303947474122856619711427456851309689<143>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2485761853109447911296800105619702272532292949142689352858621294822502265972969551941758429528492045529148077177679603555998863669262164336592499466583065678219413482530603 (172 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3006226403
Step 1 took 2218ms
Step 2 took 1387ms
********** Factor found in step 2: 35903205290317104215183321027
Found prime factor of 29 digits: 35903205290317104215183321027
Composite cofactor 69235095669295134696912352570785753975443717117014557477962733043417693302590682574143047676017181846663311303947474122856619711427456851309689 has 143 digits

GMP-ECM 7.0.4

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

69235095669295134696912352570785753975443717117014557477962733043417693302590682574143047676017181846663311303947474122856619711427456851309689<143>

5847048444096309935424550663280748902267635844344470073388268535006957<70>
11841033357471311133692112140347296921263777572393385766819539558632982077<74>

69235095669295134696912352570785753975443717117014557477962733043417693302590682574143047676017181846663311303947474122856619711427456851309689=5847048444096309935424550663280748902267635844344470073388268535006957*11841033357471311133692112140347296921263777572393385766819539558632982077

cado polynomial
n: 69235095669295134696912352570785753975443717117014557477962733043417693302590682574143047676017181846663311303947474122856619711427456851309689
skew: 1.03
type: snfs
c0: 34
c5: 29
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 29*x^5+34
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13200000
tasks.lim1 = 13200000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5847048444096309935424550663280748902267635844344470073388268535006957 11841033357471311133692112140347296921263777572393385766819539558632982077
Info:Square Root: Total cpu/real time for sqrt: 1956.98/607.639
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 133.9/132.922
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 132.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 479.99/479.054
Info:Filtering - Merging: Merged matrix has 2762334 rows and total weight 470212325 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 772.89/217.363
Info:Filtering - Merging: Total cpu/real time for replay: 106/99.9148
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30645832
Info:Lattice Sieving: Average J: 1893.7 for 4229156 special-q, max bucket fill -bkmult 1.0,1s:1.160190
Info:Lattice Sieving: Total time: 945092s
Info:Linear Algebra: Total cpu/real time for bwc: 134774/34554.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 86445.52, WCT time 22042.76, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (86528 iterations)
Info:Linear Algebra: Lingen CPU time 591.64, WCT time 149.96
Info:Linear Algebra: Mksol: CPU time 46715.41,  WCT time 11957.29, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43520 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 601.8/659.98
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 544.9s
Info:Quadratic Characters: Total cpu/real time for characters: 94.97/41.8837
Info:Generate Factor Base: Total cpu/real time for makefb: 5.48/2.58735
Info:Generate Free Relations: Total cpu/real time for freerel: 120.74/32.0825
Info:Square Root: Total cpu/real time for sqrt: 1956.98/607.639
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.89171e+06/509684
Info:root: Cleaning up computation data in /tmp/cado._h8oa9s4
5847048444096309935424550663280748902267635844344470073388268535006957 11841033357471311133692112140347296921263777572393385766819539558632982077

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)

682448313072343848205602563634527300891794953478907289377493758777685499583200759470693444085637705533346691754771856070704340501582828740480291714507205813945563<162>

195378412292761163233461082983050337115043<42>
141157481889408483749466134778009825745827178603<48>
24745104154850031712219729313990082445573198505604759371765536493863489147<74>

#
# N = 29x10^196+34 = 32(195)6
#
# n: 682448313072343848205602563634527300891794953478907289377493758777685499583200759470693444085637705533346691754771856070704340501582828740480291714507205813945563
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 682448313072343848205602563634527300891794953478907289377493758777685499583200759470693444085637705533346691754771856070704340501582828740480291714507205813945563 (162 digits)
# Using B1=20910000, B2=70273279450, polynomial Dickson(12), sigma=1:1078678105
# Step 1 took 48184ms
# Step 2 took 18270ms
# ********** Factor found in step 2: 195378412292761163233461082983050337115043
# Found prime factor of 42 digits: 195378412292761163233461082983050337115043
# Composite cofactor 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641 has 121 digits
#
#
n: 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641
m: 1000000000000000000000000000000000000000
deg: 5
c5: 145
c0: 17
skew: 0.65
# Murphy_E = 1.822e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5


CADO

STA:Tue 26 Jul 2022 13:56:50 AEST (3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641 - C121)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641 2>&1 | tee -a log174

Debug:root: Looking for parameter file for c121 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c120
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ke_mkh8n
Info:Database: Opened connection to database /tmp/cado.ke_mkh8n/c120.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641
Debug:root: Root parameter dictionary:
N = 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641
lim0 = 5667620
lim1 = 18220697
lpb0 = 26
lpb1 = 27
name = c120
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641
skew: 176518.239
c0: 227017131830583685314181601000
c1: 2325609940926470186387110
c2: -176331539651753488469
c3: -261120314687569
c4: 763386954
c5: 4560
Y0: -271483822935109647503529
Y1: 70246564242911977
# MurphyE (Bf=1.82e+07,Bg=5.67e+06,area=2.45e+15) = 1.6e-09
# f(x) = 4560*x^5+763386954*x^4-261120314687569*x^3-176331539651753488469*x^2+2325609940926470186387110*x+227017131830583685314181601000
# g(x) = 70246564242911977*x-271483822935109647503529
===
Info:Square Root: finished
Info:Square Root: Factors: 24745104154850031712219729313990082445573198505604759371765536493863489147 141157481889408483749466134778009825745827178603
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 10356.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 10527/35.480/43.109/48.350/1.049
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 10527/34.300/38.345/43.600/1.145
Info:Polynomial Selection (size optimized): Total time: 1146.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 468.24
Info:Polynomial Selection (root optimized): Rootsieve time: 467.27
Info:Generate Factor Base: Total cpu/real time for makefb: 23.86/2.16178
Info:Generate Free Relations: Total cpu/real time for freerel: 148.74/9.87749
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 10419374
Info:Lattice Sieving: Average J: 8192 for 20056 special-q, max bucket fill: 0.682631
Info:Lattice Sieving: Total CPU time: 63094.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.47/33.7436
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.49999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189.46/82.0128
Info:Filtering - Singleton removal: Total cpu/real time for purge: 116.16/63.9088
Info:Filtering - Merging: Total cpu/real time for merge: 382.05/306.891
Info:Filtering - Merging: Total cpu/real time for replay: 31.26/24.0484
Info:Linear Algebra: Total cpu/real time for bwc: 18303.4/0.000312328
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 755.12
Info:Linear Algebra: Lingen CPU time 201.44, WCT time 19.97
Info:Linear Algebra: Mksol: WCT time 425.53
Info:Quadratic Characters: Total cpu/real time for characters: 34.63/8.11978
Info:Square Root: Total cpu/real time for sqrt: 798.76/114.162
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 84764/6093.5
Info:root: Cleaning up computation data in /tmp/cado.ke_mkh8n
24745104154850031712219729313990082445573198505604759371765536493863489147 141157481889408483749466134778009825745827178603

END:Tue 26 Jul 2022 15:38:24 AEST (3492956591589769975854835271746664897537920584326633903317084230381109349648046095356086488867507325195708208540321121641 - C121)

22966527971858695484011047870537391956134607899873897211188269123317584049147887556027145175084418983571427234279105870316325175580621<134>

16723813358320167022740969482006621711654417<44>
1373282963626997897411340918213787594235977381463813797367150674799222147699887276617519613<91>

Number: 32226_197
N = 22966527971858695484011047870537391956134607899873897211188269123317584049147887556027145175084418983571427234279105870316325175580621 (134 digits)
Divisors found:
r1=16723813358320167022740969482006621711654417 (pp44)
r2=1373282963626997897411340918213787594235977381463813797367150674799222147699887276617519613 (pp91)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 30.07 hours.
Factorization parameters were as follows:
n: 22966527971858695484011047870537391956134607899873897211188269123317584049147887556027145175084418983571427234279105870316325175580621
# norm 8.083494e-13 alpha -5.992320 e 4.914e-11 rroots 3
skew: 1856718.24
c0: -1141519382194745589605876380037040
c1: -2774162053468540735118251746
c2: -968827539045355058027
c3: -1939276790685883
c4: 2189583541
c5: 228
Y0: -158719986665937005482882601
Y1: 91557443654627
type: gnfs
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21782584
Relations: 3087576 relations
Pruned matrix : 1788860 x 1789093
Polynomial selection time: 0.36 hours.
Total sieving time: 26.64 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 2.03 hours.
time per square root: 0.76 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,8900000,8900000,28,28,55,55,2.5,2.5,100000
total time: 30.07 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 3.39GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

5626240141782227073337892225332247689149481905447921816426723624856051829756572716285030628950274341860722389375552313755222380768163615468800653641738839019587891802368595282735113<181>

288772424064155626437887587<27>

19483301288256885893341635259901224665472691077578846681466091932971900143876154197105520010302508418649351264632015408054730143615289564020786492988872099<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:869489969
Step 1 took 8516ms
Step 2 took 4234ms
********** Factor found in step 2: 288772424064155626437887587
Found prime factor of 27 digits: 288772424064155626437887587
Composite cofactor 19483301288256885893341635259901224665472691077578846681466091932971900143876154197105520010302508418649351264632015408054730143615289564020786492988872099 has 155 digits
 

GMP-ECM

19483301288256885893341635259901224665472691077578846681466091932971900143876154197105520010302508418649351264632015408054730143615289564020786492988872099<155>

173216881195461466006928978681937690743257<42>
112479229240200502459818640503071610305917857443097565585668506278821133704341825474131456936943628162030102034907<114>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 19483301288256885893341635259901224665472691077578846681466091932971900143876154197105520010302508418649351264632015408054730143615289564020786492988872099 (155 digits)
Using B1=20510000, B2=70272954580, polynomial Dickson(12), sigma=1:48242491
Step 1 took 48468ms
Step 2 took 18416ms
********** Factor found in step 2: 173216881195461466006928978681937690743257
Found prime factor of 42 digits: 173216881195461466006928978681937690743257
Prime cofactor 112479229240200502459818640503071610305917857443097565585668506278821133704341825474131456936943628162030102034907 has 114 digits

1561924297378455514941337906936240777977295236524968686337733642890258465143718057203897655554031072300089436547211498363467044549454299140438980912248079860663013238618253097362252781<184>

214067808655081280434809897067<30>
7296399711808702451727422658844024572299619738799340921182223582983787431736717606350860177275804995430999358584902893617580425336542118719606560390996743<154>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1561924297378455514941337906936240777977295236524968686337733642890258465143718057203897655554031072300089436547211498363467044549454299140438980912248079860663013238618253097362252781 (184 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3345755878
Step 1 took 2738ms
********** Factor found in step 1: 214067808655081280434809897067
Found prime factor of 30 digits: 214067808655081280434809897067
Prime cofactor 7296399711808702451727422658844024572299619738799340921182223582983787431736717606350860177275804995430999358584902893617580425336542118719606560390996743 has 154 digits

GMP-ECM 7.0.4

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

1806700785955704715322423799032959778135857868341613503998605290663064257651560534096850404495638556006730463251818767208874813716680568388833190504058580662824732091<166>

846130115176963954158047283244819<33>
2135251722576783746046498232641866152728537159747939205860936602090739256047433336335412305800416136109654973544620651682409520552889<133>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1806700785955704715322423799032959778135857868341613503998605290663064257651560534096850404495638556006730463251818767208874813716680568388833190504058580662824732091 (166 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:352109020
Step 1 took 2386ms
Step 2 took 1354ms
********** Factor found in step 2: 846130115176963954158047283244819
Found prime factor of 33 digits: 846130115176963954158047283244819
Prime cofactor 2135251722576783746046498232641866152728537159747939205860936602090739256047433336335412305800416136109654973544620651682409520552889 has 133 digits

GMP-ECM 7.0.4

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

60632096009785939649295090591234883224079199124035566603093562337072071354189078006240664185627540580663498229360792357031473983443094459981363521024120450317772847604479533<173>

9858386238218583480893454587607565279<37>
6150306403570387710248827374977648361785188648848291567713748153664173285470048710858208133644018408961694410900678608535107042617223027<136>

X:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3775441279 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 60632096009785939649295090591234883224079199124035566603093562337072071354189078006240664185627540580663498229360792357031473983443094459981363521024120450317772847604479533 (173 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3775441279
Step 1 took 7785ms
Step 2 took 5538ms
********** Factor found in step 2: 9858386238218583480893454587607565279
Found probable prime factor of 37 digits: 9858386238218583480893454587607565279
Probable prime cofactor 6150306403570387710248827374977648361785188648848291567713748153664173285470048710858208133644018408961694410900678608535107042617223027 has 136 digits

69895811759752396940981148784619604695605963480939194556841743748868652501063623508549782644825360158509788048619475895158818939284134281179108553200054126486932841<164>

382107537659461700677505881860058614408263<42>
182921834486406513566169891257673932526545230401665041510200498471485174709571392655428376654314251746038422468062296525007<123>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2081583154
Step 1 took 22826ms
Step 2 took 11827ms
********** Factor found in step 2: 382107537659461700677505881860058614408263
Found prime factor of 42 digits: 382107537659461700677505881860058614408263
Prime cofactor 182921834486406513566169891257673932526545230401665041510200498471485174709571392655428376654314251746038422468062296525007 has 123 digits

31004957531415990602115126431484674774343616827440834844239447533693186798893448234013070410495710288887249690385833247006729710804245198416670191<146>

1836722531573617596151262568997787324070633380867<49>
16880588656389160348041108135032988077906825756317647587374942747607504732211255063620956611780773<98>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 31004957531415990602115126431484674774343616827440834844239447533693186798893448234013070410495710288887249690385833247006729710804245198416670191 (146 digits)
Using B1=55860000, B2=288597218926, polynomial Dickson(12), sigma=1:2028293428
Step 1 took 110150ms
Step 2 took 37129ms
********** Factor found in step 2: 1836722531573617596151262568997787324070633380867
Found prime factor of 49 digits: 1836722531573617596151262568997787324070633380867
Prime cofactor 16880588656389160348041108135032988077906825756317647587374942747607504732211255063620956611780773 has 98 digits

404380152481164871226149248211057106978261951640139221840092892912207579333395153881808808631278544310068570775518811880206931869908209543141043952636830417396139083806687453869<177>

41445156706694020634203738314050873728807117763125219082394661<62>
9756994172876449780804150191636343877026358536686780735302597573672520003768156138566066003361527944606495326986729<115>

Number: n
N=404380152481164871226149248211057106978261951640139221840092892912207579333395153881808808631278544310068570775518811880206931869908209543141043952636830417396139083806687453869  ( 177 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Feb 19 22:08:07 2024  prp62 factor: 41445156706694020634203738314050873728807117763125219082394661
Mon Feb 19 22:08:07 2024  prp115 factor: 9756994172876449780804150191636343877026358536686780735302597573672520003768156138566066003361527944606495326986729
Mon Feb 19 22:08:07 2024  elapsed time 03:54:27 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 29x10^205+34 = 32(204)6
#
n: 404380152481164871226149248211057106978261951640139221840092892912207579333395153881808808631278544310068570775518811880206931869908209543141043952636830417396139083806687453869
m: 100000000000000000000000000000000000000000
deg: 5
c5: 29
c0: 34
skew: 1.03
# Murphy_E = 6.778e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3903932 hash collisions in 20068052 relations (16437392 unique)
Msieve: matrix is 2653942 x 2654167 (742.6 MB)

Sieving start time: 2024/02/18 15:30:59
Sieving end time  : 2024/02/19 18:12:19

Total sieving time: 26hrs 41min 20secs.

Total relation processing time: 3hrs 40min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 45sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

354621116684776800246327164637867029798690151878110118905683255842505180525382189851428426086320649391971524658029074529374979059011644045507916488438984746645223094590169266773150828187047231375115527<201>

304300278412980810044829115317160225361670328339505163170769797360084102705105922426519829<90>
1165365731948174941423762631340111422433417470448811657921906936673828605857118119557027728578315318773834734763<112>

Number: n
N=354621116684776800246327164637867029798690151878110118905683255842505180525382189851428426086320649391971524658029074529374979059011644045507916488438984746645223094590169266773150828187047231375115527  ( 201 digits)
SNFS difficulty: 207 digits.
Divisors found:

Thu Jun  6 16:07:50 2024  prp90 factor: 304300278412980810044829115317160225361670328339505163170769797360084102705105922426519829
Thu Jun  6 16:07:50 2024  prp112 factor: 1165365731948174941423762631340111422433417470448811657921906936673828605857118119557027728578315318773834734763
Thu Jun  6 16:07:50 2024  elapsed time 03:09:34 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.958).
Factorization parameters were as follows:
#
# N = 29x10^206+34 = 32(205)6
#
n: 354621116684776800246327164637867029798690151878110118905683255842505180525382189851428426086320649391971524658029074529374979059011644045507916488438984746645223094590169266773150828187047231375115527
m: 100000000000000000000000000000000000000000
deg: 5
c5: 145
c0: 17
skew: 0.65
# Murphy_E = 6.93e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4574528 hash collisions in 21323404 relations (16854579 unique)
Msieve: matrix is 2419801 x 2420026 (680.5 MB)

Sieving start time: 2024/06/05 15:33:32
Sieving end time  : 2024/06/06 12:57:54

Total sieving time: 21hrs 24min 22secs.

Total relation processing time: 3hrs 0min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 7sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<208>

1985623305557698779579653566986834239309<40>

811388094912897368926040145203590369880525514535521802257562258926550425480688943714116984658255534178832126616227040609500975649377882376277355482137337811609379624557<168>

Resuming ECM residue saved by @1959bab85a66 with GMP-ECM 7.0.5-dev on Mon Oct 10 12:00:13 2022 
Input number is 1611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113 (208 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2570273493
Step 1 took 0ms
Step 2 took 12637ms
********** Factor found in step 2: 1985623305557698779579653566986834239309
Found prime factor of 40 digits: 1985623305557698779579653566986834239309
Composite cofactor 811388094912897368926040145203590369880525514535521802257562258926550425480688943714116984658255534178832126616227040609500975649377882376277355482137337811609379624557 has 168 digits

811388094912897368926040145203590369880525514535521802257562258926550425480688943714116984658255534178832126616227040609500975649377882376277355482137337811609379624557<168>

21893363215412065190336912271734468337914366265483294417178767616426688859472833571<83>
37060915992190369163601249138575154962110554050518483742137393998167544648365364024367<86>

Number: n
N=811388094912897368926040145203590369880525514535521802257562258926550425480688943714116984658255534178832126616227040609500975649377882376277355482137337811609379624557  ( 168 digits)
SNFS difficulty: 208 digits.
Divisors found:

Fri Sep  6 10:51:38 2024  prp83 factor: 21893363215412065190336912271734468337914366265483294417178767616426688859472833571
Fri Sep  6 10:51:38 2024  prp86 factor: 37060915992190369163601249138575154962110554050518483742137393998167544648365364024367
Fri Sep  6 10:51:38 2024  elapsed time 04:18:35 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.135).
Factorization parameters were as follows:
#
# N = 29x10^207+34 = 32(206)6
#
n: 811388094912897368926040145203590369880525514535521802257562258926550425480688943714116984658255534178832126616227040609500975649377882376277355482137337811609379624557
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1450
c0: 17
skew: 0.41
# Murphy_E = 5.102e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0:       50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 70450000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8088919 hash collisions in 26272938 relations (16188455 unique)
Msieve: matrix is 2804646 x 2804871 (786.7 MB)

Sieving start time: 2024/09/04 17:27:39
Sieving end time  : 2024/09/06 06:27:27

Total sieving time: 36hrs 59min 48secs.

Total relation processing time: 4hrs 5min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 2sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

17618938140228824393669366200449979837950706570709024453757326457120358302812093545021191862734266668769657007853848604217522164721015945225261404465722228556999436388299517366749400628753<188>

837474102687802370405932329601441977199068507891865789417723620982332829989526950560599635031<93>
21038188624200236330289916689388342295456332525563376812734737458262732612779473887393940987863<95>

Number: n
N=17618938140228824393669366200449979837950706570709024453757326457120358302812093545021191862734266668769657007853848604217522164721015945225261404465722228556999436388299517366749400628753  ( 188 digits)
SNFS difficulty: 209 digits.
Divisors found:

Tue Oct 22 06:21:26 2024  prp93 factor: 837474102687802370405932329601441977199068507891865789417723620982332829989526950560599635031
Tue Oct 22 06:21:26 2024  prp95 factor: 21038188624200236330289916689388342295456332525563376812734737458262732612779473887393940987863
Tue Oct 22 06:21:26 2024  elapsed time 03:49:07 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.136).
Factorization parameters were as follows:
#
# N = 29x10^208+34 = 32(207)6
#
n: 17618938140228824393669366200449979837950706570709024453757326457120358302812093545021191862734266668769657007853848604217522164721015945225261404465722228556999436388299517366749400628753
m: 100000000000000000000000000000000000000000
deg: 5
c5: 14500
c0: 17
skew: 0.26
# Murphy_E = 4.859e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0:       50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 74050000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8477899 hash collisions in 27563560 relations (16979276 unique)
Msieve: matrix is 2666062 x 2666287 (751.3 MB)

Sieving start time: 2024/10/20 10:02:37
Sieving end time  : 2024/10/22 02:26:03

Total sieving time: 40hrs 23min 26secs.

Total relation processing time: 3hrs 39min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 32sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

178833802082006211694499516620948820016011848163190595758207316733345821031038487450483138135301826085430010457088017049104038980859210763152250419120962989368819224666835676058623505289398953450131<198>

8552533733574696896305941439193705046280015807854624916685716339650761476367361556672987224509756587742506489705802811576906270621104119660502976975901345155008149571431884999227377162153157261<193>

722734419768511319885359661801072633812156508034989654351034687752973308520682397844950583571526071725656971606633022009139464501165489778160453158849455757696390936084219150080707195204623846523<195>

1076461290455325300703577588009193514528908098097871566733143236808451778738116689333366128307147950620894614612806113644117572868368587843930138988572643054613261528648713848661241229844174723<193>

54125922470260553125614219401567098927396797781<47>
19888091349330556662935862074846932256895312929509870051036477313867217467689911122186348147986497208622711082849484113296780725529396224532676983<146>

Resuming ECM residue saved by @9837e4b819a3 with GMP-ECM 7.0.5-dev on Sat Feb 17 09:01:18 2024 
Input number is 1076461290455325300703577588009193514528908098097871566733143236808451778738116689333366128307147950620894614612806113644117572868368587843930138988572643054613261528648713848661241229844174723 (193 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3447999870
Step 1 took 0ms
Step 2 took 8343ms
********** Factor found in step 2: 54125922470260553125614219401567098927396797781
Found prime factor of 47 digits: 54125922470260553125614219401567098927396797781
Prime cofactor 19888091349330556662935862074846932256895312929509870051036477313867217467689911122186348147986497208622711082849484113296780725529396224532676983 has 146 digits

1112806876113150004190403892094673482185133680009286368934221547427291514724450061713522340942498169558941096839475087694767419096278406658192536625681153927203956263557470970983<178>

32044433056749484189669996310216241349082751266958759109156209351720208831800042758743492462629690663648015415666852559454807600838127746235258673933717262108620025656055007987662993<182>

3677949200979627347012196111393709770009083567727159573969999639577653926924902155694306022827870165173753688001962358917895979035896847068876575331501<151>

76030719627891343526503573218337<32>
48374515182549937698177896610463800084796730350002073878274401064848874453580667092710445011251975235484583305407061773<119>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3677949200979627347012196111393709770009083567727159573969999639577653926924902155694306022827870165173753688001962358917895979035896847068876575331501 (151 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3001276979
Step 1 took 2447ms
Step 2 took 1494ms
********** Factor found in step 2: 76030719627891343526503573218337
Found prime factor of 32 digits: 76030719627891343526503573218337
Prime cofactor 48374515182549937698177896610463800084796730350002073878274401064848874453580667092710445011251975235484583305407061773 has 119 digits

GMP-ECM 7.0.4

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

39295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393<218>

210726145139586642725333801498142573567893772642269084925316080603684796375117<78>
186476115376665597909088159448484007874614789638785074871363074682528889203003530188140869590709998608153834883143288731248219929842192901029<141>

Number: 32226_219
N = 39295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393 (218 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=210726145139586642725333801498142573567893772642269084925316080603684796375117 (pp78)
r2=186476115376665597909088159448484007874614789638785074871363074682528889203003530188140869590709998608153834883143288731248219929842192901029 (pp141)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 80.60 hours.
Factorization parameters were as follows:
n: 39295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 29
c0: 340
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30565182
Relations: 9251506 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 26.96 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 7863743 x 7863968
Matrix solve time: 52.30 hours.
time per square root: 0.96 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 80.60 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

8068795059575301210610085740550840933499063923613021297320104309242933811272388174448969664526209857845446840266604544308679266562804337949715546903487045463254739350185825855843083766351087729178791637<202>

72558347663057283196862719997608825106267718833<47>
46568289663162459300548529132925871349015704074996765025962217448826639<71>
2387981803022927834332080004047615063908747737295166847400609113852033669687533055051<85>

Number: 32226_220
N = 8068795059575301210610085740550840933499063923613021297320104309242933811272388174448969664526209857845446840266604544308679266562804337949715546903487045463254739350185825855843083766351087729178791637 (202 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=72558347663057283196862719997608825106267718833 (pp47)
r2=46568289663162459300548529132925871349015704074996765025962217448826639 (pp71)
r3=2387981803022927834332080004047615063908747737295166847400609113852033669687533055051 (pp85)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.26 hours.
Factorization parameters were as follows:
n: 8068795059575301210610085740550840933499063923613021297320104309242933811272388174448969664526209857845446840266604544308679266562804337949715546903487045463254739350185825855843083766351087729178791637
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 29
c0: 34
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31308148
Relations: 8715754 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 24.43 hours.
Total relation processing time: 0.44 hours.
Pruned matrix : 7418658 x 7418883
Matrix solve time: 35.78 hours.
time per square root: 0.61 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 61.26 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

3184398091391443410092673958130921496892956951284597002142641042094364790922831592152666125118632325446624361940519853798940164356940435556386468326976062908713642589<166>

2125183457985018868785363969011703510856255463974011003903492339924073259284037<79>
1498410915738405536109153144435085321734242756713181284442083675639132328174841063543097<88>

Number: 32226_221
N = 3184398091391443410092673958130921496892956951284597002142641042094364790922831592152666125118632325446624361940519853798940164356940435556386468326976062908713642589 (166 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=2125183457985018868785363969011703510856255463974011003903492339924073259284037 (pp79)
r2=1498410915738405536109153144435085321734242756713181284442083675639132328174841063543097 (pp88)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.61 hours.
Factorization parameters were as follows:
n: 3184398091391443410092673958130921496892956951284597002142641042094364790922831592152666125118632325446624361940519853798940164356940435556386468326976062908713642589
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 145
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30167807
Relations: 9007004 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.50 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 7673493 x 7673718
Matrix solve time: 48.24 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 74.61 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

45349838647932529473352730366319827034839675763165615649752674959450754530459045547466989610061101276294895914129348667571230186213724738345426899908580667678418439326962231456512746468202261618971912965252712804673<215>

198881991699847184214518340317809372227583<42>

228023856058192196382880551726352313040798751325952914712751000219227893567591722420581093445381966389344545400288539554332455352450420268721794898472762815584374381510551231<174>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 15:34:06 2022 
Input number is 45349838647932529473352730366319827034839675763165615649752674959450754530459045547466989610061101276294895914129348667571230186213724738345426899908580667678418439326962231456512746468202261618971912965252712804673 (215 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3406127637
Step 1 took 0ms
Step 2 took 4391ms
********** Factor found in step 2: 198881991699847184214518340317809372227583
Found prime factor of 42 digits: 198881991699847184214518340317809372227583
Composite cofactor 228023856058192196382880551726352313040798751325952914712751000219227893567591722420581093445381966389344545400288539554332455352450420268721794898472762815584374381510551231 has 174 digits

767985328313390254937433716590267035834689176038355775218963214874652152978574570164283671390500562152568464014386576222736145299561647834935897141826177190781431345613147194157089104992739290927645360922353747<210>

1204055024816404444241831047164994317275474254438748848985674983697510155373751550636035838988447631785690827400871187785335091419746120430912194577949235213311633770637814518894072968557805311609855613873337895456303223903<223>

26799566436336331118796276992453907697162740451990354666396148838530811574255712646071365494837421507690563295851352480622215219090832012486251966078270262511970982027467637870588817472645514202560158250777027059<212>

176233130519186995839357780451936822959463<42>

152068832672858790640424678108537070591616190164891303257658925567946167909162331803161416609941818215242939432604406224639325936119608490151367259248484856255848324019093<171>

Resuming ECM residue saved by @1959bab85a66 with GMP-ECM 7.0.5-dev on Mon Oct 10 14:31:24 2022 
Input number is 26799566436336331118796276992453907697162740451990354666396148838530811574255712646071365494837421507690563295851352480622215219090832012486251966078270262511970982027467637870588817472645514202560158250777027059 (212 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2883583756
Step 1 took 0ms
Step 2 took 13529ms
********** Factor found in step 2: 176233130519186995839357780451936822959463
Found prime factor of 42 digits: 176233130519186995839357780451936822959463
Composite cofactor 152068832672858790640424678108537070591616190164891303257658925567946167909162331803161416609941818215242939432604406224639325936119608490151367259248484856255848324019093 has 171 digits

579201060992619594060166096193478521065877595290992303227057514333258845797481314708997927762647098673142033361567958108313673361549835745954040778421091679934633789772774570913079031113421<189>

1435144849714296278720825391278647712749903499510286664291676838976446445574946712976220783304097160940534032878738873304108152021935059109119185623251426306248362481393196275166715097886355357129780781241546179<211>

745835597884749796758313885405965494435521092017638847094917000297368933903310726613174981649990629131156186712866452171040800759697942978997258831509046943314615037659390519529244940219300273457003<198>

35323145678975806823736528689951000687<38>

21114642638655710735331848301902012122600681782785579043853276717817528809722356417758541872767062593210762024479946583970424659320100290102751395141502114780869<161>