685977873186235778738235313512467382305337956735685334602967735008606366910268473594343930983367869<99>

297695361425630493447226711817203077803669<42>
2304294799560069886858614495472940770826610127519333841801<58>

N=685977873186235778738235313512467382305337956735685334602967735008606366910268473594343930983367869
  ( 99 digits)
SNFS difficulty: 106 digits.
Divisors found:
p42 factor: 297695361425630493447226711817203077803669
p58 factor: 2304294799560069886858614495472940770826610127519333841801
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.13 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 685977873186235778738235313512467382305337956735685334602967735008606366910268473594343930983367869
m: 100000000000000000000000000
deg: 4
c4: 155
c0: -11
skew: 0.52
# Murphy_E = 1.749e-07
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 38502 x 38727
Total sieving time: 0.12 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,106.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.13 hours.
 --------- CPU info (if available) ----------

1147219381340682465738176213543882796407848389194788152415988926851636680106325591388684711840414921327<103>

9941655569024559740705889168968397592220383<43>
115395204890732660366958330068103845825733365163952023200369<60>

N=1147219381340682465738176213543882796407848389194788152415988926851636680106325591388684711840414921327
  ( 103 digits)
SNFS difficulty: 114 digits.
Divisors found:
p43 factor: 9941655569024559740705889168968397592220383
p60 factor: 115395204890732660366958330068103845825733365163952023200369
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.28 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1147219381340682465738176213543882796407848389194788152415988926851636680106325591388684711840414921327
m: 10000000000000000000000000000
deg: 4
c4: 155
c0: -11
skew: 0.52
# Murphy_E = 7.515e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62181 x 62406
Total sieving time: 0.27 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.28 hours.
 --------- CPU info (if available) ----------

11489950253509107001599487990299715287241194020682197433403306229354840790036191055305081407<92>

87257391528291417716630483091785866203187<41>
131678818862969637737963924076166595282689410501061<51>

N=11489950253509107001599487990299715287241194020682197433403306229354840790036191055305081407
  ( 92 digits)
SNFS difficulty: 116 digits.
Divisors found:
p41 factor: 87257391528291417716630483091785866203187
p51 factor: 131678818862969637737963924076166595282689410501061
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.39 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 11489950253509107001599487990299715287241194020682197433403306229354840790036191055305081407
m: 50000000000000000000000000000
deg: 4
c4: 124
c0: -55
skew: 0.82
# Murphy_E = 5.509e-08
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71185 x 71411
Total sieving time: 0.38 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,116.000,4,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,20000
total time: 0.39 hours.
 --------- CPU info (if available) ----------

13411839037590277911911399100386111983626318647245609347710299484031413316154012373470991<89>

5611759225259674979921822801179884961759<40>
2389952686712011774877128835359981450987269527249<49>

P40 = 5611759225259674979921822801179884961759
P49 = 2389952686712011774877128835359981450987269527249

7066976701773583185154789586467879451055487165458441617653763735011170382528609857292664022249578261067797382938950439976291433<127>

130833172641622611727980406057080117774949<42>
54015174890938405121655698310103184171321380477908031125954196731020794689352718497717<86>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7066976701773583185154789586467879451055487165458441617653763735011170382528609857292664022249578261067797382938950439976291433 (127 digits)
Using B1=17200000, B2=58559441860, polynomial Dickson(12), sigma=1:1300830996
Step 1 took 25917ms
Step 2 took 12404ms
********** Factor found in step 2: 130833172641622611727980406057080117774949
Found prime factor of 42 digits: 130833172641622611727980406057080117774949
Prime cofactor 54015174890938405121655698310103184171321380477908031125954196731020794689352718497717 has 86 digits

114108848962008125168344858562487775681813637180587541369367402713519365044418135859683<87>

218670414056369222092421353160096206773763<42>
521830305459580630717320922126037188506375841<45>

P42 = 218670414056369222092421353160096206773763
P45 = 521830305459580630717320922126037188506375841

57685326267383757729459105951258760164159737792586082407720985938056915411495591345640349032617<95>

973588812375174082824943175616838373773<39>
59250194264921997109922918332711324633231656231970508429<56>

N=57685326267383757729459105951258760164159737792586082407720985938056915411495591345640349032617
  ( 95 digits)
Divisors found:
p39 factor: 973588812375174082824943175616838373773
p56 factor: 59250194264921997109922918332711324633231656231970508429
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.07 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 57685326267383757729459105951258760164159737792586082407720985938056915411495591345640349032617
skew: 171692.38
c0: 2601324565251230547862977
c1: -91269716675515054414
c2: -432883757881691
c3: 8217193400
c4: 9240
Y0: -49984748648990982575050
Y1: 5608319294317
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112004 x 112229
Total sieving time: 1.04 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:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,50,50,2.5,2.5,60000
total time: 1.07 hours.
 --------- CPU info (if available) ----------

8586037213309894282868676798575077322202446812544767461318502139910683893341813537925180101102964219211708760538300241<118>

2602864009425686359955493562130485447574629<43>
3298688361058239075225632399616018891250742083794776791921117897253716284029<76>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 8586037213309894282868676798575077322202446812544767461318502139910683893341813537925180101102964219211708760538300241 (118 digits)
Using B1=20720000, B2=70272954580, polynomial Dickson(12), sigma=1:847935443
Step 1 took 31262ms
Step 2 took 13977ms
********** Factor found in step 2: 2602864009425686359955493562130485447574629
Found prime factor of 43 digits: 2602864009425686359955493562130485447574629
Prime cofactor 3298688361058239075225632399616018891250742083794776791921117897253716284029 has 76 digits

10515721026642912384735976583505469118714014376663212068628787810476150138680125592747427009354767627266997326800970256058322879<128>

1227788652099134076287044124440417<34>
8564764797804836151792191275964130802576041533647657532364823478063130366125153030920247769887<94>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 10515721026642912384735976583505469118714014376663212068628787810476150138680125592747427009354767627266997326800970256058322879 (128 digits)
Using B1=10260000, B2=35133066160, polynomial Dickson(12), sigma=1:819172022
Step 1 took 16625ms
Step 2 took 8926ms
********** Factor found in step 2: 1227788652099134076287044124440417
Found prime factor of 34 digits: 1227788652099134076287044124440417
Prime cofactor 8564764797804836151792191275964130802576041533647657532364823478063130366125153030920247769887 has 94 digits

2733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067<154>

24228438810308151429259372369252094769553482963162609620429842668149649931<74>
112829641580386736334575541080299804236914288012043166987383038879133227214440057<81>

Number: n
N=2733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067  ( 154 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon Aug  1 08:50:19 2022  p74 factor: 24228438810308151429259372369252094769553482963162609620429842668149649931
Mon Aug  1 08:50:19 2022  p81 factor: 112829641580386736334575541080299804236914288012043166987383038879133227214440057
Mon Aug  1 08:50:19 2022  elapsed time 00:05:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 31x10^155-22 = 34(154)2
#
n: 2733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067019400352733686067
m: 10000000000000000000000000000000
deg: 5
c5: 31
c0: -22
skew: 0.93
# Murphy_E = 8.175e-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 1236601 hash collisions in 13777813 relations (13438484 unique)
Msieve: matrix is 395417 x 395643 (131.5 MB)

Sieving start time : 2022/08/01 08:05:18
Sieving end time  : 2022/08/01 08:44:29

Total sieving time: 0hrs 39min 11secs.

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

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) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

901664414919763123334353144872556453805280078170930803474730776239811693844024656251930761643319113736478662248324883487069733812551100012843773301299<150>

56548187037180971640960342833583910489151775514220063405131<59>
15945063178186600067175914481443100724495344720701980313519338187368668997522906272049977529<92>

Number: n
N=901664414919763123334353144872556453805280078170930803474730776239811693844024656251930761643319113736478662248324883487069733812551100012843773301299  ( 150 digits)
SNFS difficulty: 158 digits.
Divisors found:

Mon Aug  1 17:07:26 2022  p59 factor: 56548187037180971640960342833583910489151775514220063405131
Mon Aug  1 17:07:26 2022  p92 factor: 15945063178186600067175914481443100724495344720701980313519338187368668997522906272049977529
Mon Aug  1 17:07:26 2022  elapsed time 00:06:41 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 31x10^157-22 = 34(156)2
#
n: 901664414919763123334353144872556453805280078170930803474730776239811693844024656251930761643319113736478662248324883487069733812551100012843773301299
m: 10000000000000000000000000000000
deg: 5
c5: 1550
c0: -11
skew: 0.37
# Murphy_E = 6.628e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1421562 hash collisions in 14285255 relations (13768453 unique)
Msieve: matrix is 424821 x 425047 (141.6 MB)

Sieving start time : 2022/08/01 16:19:39
Sieving end time  : 2022/08/01 17:00:27

Total sieving time: 0hrs 40min 48secs.

Total relation processing time: 0hrs 2min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 45sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

163356360127340991178517089900581086967338997539854194651459981753394344298029484405398660926829542318675317074610961727104219<126>

21612548189607829663206025256462078735548991677163<50>
7558403511432733690493181331938362524192099688838987535144165676515428149713<76>

163356360127340991178517089900581086967338997539854194651459981753394344298029484405398660926829542318675317074610961727104219=21612548189607829663206025256462078735548991677163*7558403511432733690493181331938362524192099688838987535144165676515428149713

cado polynomial
n: 163356360127340991178517089900581086967338997539854194651459981753394344298029484405398660926829542318675317074610961727104219
skew: 0.74
type: snfs
c0: -55
c5: 248
Y0: 50000000000000000000000000000000
Y1: -1
# f(x) = 248*x^5-55
# 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: 21612548189607829663206025256462078735548991677163 7558403511432733690493181331938362524192099688838987535144165676515428149713
Info:Square Root: Total cpu/real time for sqrt: 144.59/44.9723
Info:Filtering - Singleton removal: Total cpu/real time for purge: 74.75/70.8945
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11629229
Info:Lattice Sieving: Average J: 1892.96 for 225529 special-q, max bucket fill -bkmult 1.0,1s:1.224190
Info:Lattice Sieving: Total time: 27981.7s
Info:Linear Algebra: Total cpu/real time for bwc: 2278.7/588.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1405.41, WCT time 358.79, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Linear Algebra: Lingen CPU time 63.47, WCT time 16.17
Info:Linear Algebra: Mksol: CPU time 773.74,  WCT time 198.78, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.45/17.2119
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.89/48.4569
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.4s
Info:Filtering - Merging: Merged matrix has 391967 rows and total weight 66687314 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 80.9/22.689
Info:Filtering - Merging: Total cpu/real time for replay: 12.62/10.4606
Info:Generate Factor Base: Total cpu/real time for makefb: 1.46/0.795142
Info:Quadratic Characters: Total cpu/real time for characters: 12.72/4.99147
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.51/88.3871
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.6s
Info:Square Root: Total cpu/real time for sqrt: 144.59/44.9723
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 54229.5/15020.7
Info:root: Cleaning up computation data in /tmp/cado.z9xo4h49
21612548189607829663206025256462078735548991677163 7558403511432733690493181331938362524192099688838987535144165676515428149713

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

3897069010156897797848572646427524127707610409952989674449520381448407102232757615610021883477199365804642688624630809296933952051<130>

2214648890496578579363598138092421865879039639499<49>
1759678036044385969720159579385282108868313117638052161743118898291651024642683449<82>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3897069010156897797848572646427524127707610409952989674449520381448407102232757615610021883477199365804642688624630809296933952051 (130 digits)
Using B1=29470000, B2=144288594466, polynomial Dickson(12), sigma=1:2554062447
Step 1 took 44608ms
Step 2 took 18827ms
********** Factor found in step 2: 2214648890496578579363598138092421865879039639499
Found prime factor of 49 digits: 2214648890496578579363598138092421865879039639499
Prime cofactor 1759678036044385969720159579385282108868313117638052161743118898291651024642683449 has 82 digits

15173630384069058618181533398139419231744409496147366298290078697299779052362730039578701705026583221488993244308175454156546834144388350959218176247101102388721<161>

249320462353091415391283408673589916974815298998080232501162739751<66>
60859948039804023081616007292842564920948086425602633861957365384367004498460271297178728466471<95>

Number: 34442_165
N = 15173630384069058618181533398139419231744409496147366298290078697299779052362730039578701705026583221488993244308175454156546834144388350959218176247101102388721 (161 digits)
SNFS difficulty: 167 digits.
Divisors found:
r1=249320462353091415391283408673589916974815298998080232501162739751 (pp66)
r2=60859948039804023081616007292842564920948086425602633861957365384367004498460271297178728466471 (pp95)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 9.03 hours.
Factorization parameters were as follows:
n: 15173630384069058618181533398139419231744409496147366298290078697299779052362730039578701705026583221488993244308175454156546834144388350959218176247101102388721
m: 1000000000000000000000000000000000
deg: 5
c5: 31
c0: -22
skew: 0.93
# Murphy_E = 3.339e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 9976406
Relations: 1105138 relations
Pruned matrix : 675895 x 676120
Total sieving time: 8.36 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.47 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,167,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 9.03 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

12068300630515571113923228088174689094090990075179642704741594304007807184188960216687804011358737118267924075543939152290719<125>

2372154159541992127497475085550318191573735850407<49>
5087485811986890290072093870265477841717785067406139057456813796130187353417<76>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 12068300630515571113923228088174689094090990075179642704741594304007807184188960216687804011358737118267924075543939152290719 (125 digits)
Using B1=25470000, B2=96190324246, polynomial Dickson(12), sigma=1:648659378
Step 1 took 38821ms
Step 2 took 14411ms
********** Factor found in step 2: 2372154159541992127497475085550318191573735850407
Found prime factor of 49 digits: 2372154159541992127497475085550318191573735850407
Prime cofactor 5087485811986890290072093870265477841717785067406139057456813796130187353417 has 76 digits

8974037661501333909353073048063856672108158353392898398307215812301603531361864979921369447271715009700439692586130108236962488992119733680877084831132786110064637<163>

3557248650724914314795072063467919630143932655545803101158676551483467<70>
2522746803114974444974916999068258458486678617669085029366599943289099178693018786229180439511<94>

Number: n
N=8974037661501333909353073048063856672108158353392898398307215812301603531361864979921369447271715009700439692586130108236962488992119733680877084831132786110064637  ( 163 digits)
SNFS difficulty: 172 digits.
Divisors found:

Fri Jul 29 10:40:24 2022  p70 factor: 3557248650724914314795072063467919630143932655545803101158676551483467
Fri Jul 29 10:40:24 2022  p94 factor: 2522746803114974444974916999068258458486678617669085029366599943289099178693018786229180439511
Fri Jul 29 10:40:24 2022  elapsed time 00:13:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 31x10^171-22 = 34(170)2
#
n: 8974037661501333909353073048063856672108158353392898398307215812301603531361864979921369447271715009700439692586130108236962488992119733680877084831132786110064637
m: 10000000000000000000000000000000000
deg: 5
c5: 155
c0: -11
skew: 0.59
# Murphy_E = 2.039e-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, 8200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1218101 hash collisions in 11734295 relations (11219485 unique)
Msieve: matrix is 794133 x 794358 (276.0 MB)

Sieving start time : 2022/07/29 09:50:17
Sieving end time  : 2022/07/29 10:27:04

Total sieving time: 0hrs 36min 47secs.

Total relation processing time: 0hrs 9min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

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) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

64730714721760998697593126345295101237912436120648120484185060857283461007492568971116115459131037627210510647654947972017181491843740863<137>

50237638049053880393249436602665670400693957689572687117303123<62>
1288490407501951910241941525125732182185485339142780460326597483692375937381<76>

Number: n
N=64730714721760998697593126345295101237912436120648120484185060857283461007492568971116115459131037627210510647654947972017181491843740863  ( 137 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Aug  2 06:54:43 2022  p62 factor: 50237638049053880393249436602665670400693957689572687117303123
Tue Aug  2 06:54:43 2022  p76 factor: 1288490407501951910241941525125732182185485339142780460326597483692375937381
Tue Aug  2 06:54:43 2022  elapsed time 00:27:25 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 31x10^173-22 = 34(172)2
#
n: 64730714721760998697593126345295101237912436120648120484185060857283461007492568971116115459131037627210510647654947972017181491843740863
m: 10000000000000000000000000000000000
deg: 5
c5: 15500
c0: -11
skew: 0.23
# Murphy_E = 1.351e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1145029 hash collisions in 11601458 relations (11164892 unique)
Msieve: matrix is 985047 x 985271 (339.8 MB)

Sieving start time : 2022/08/02 04:16:22
Sieving end time  : 2022/08/02 06:26:44

Total sieving time: 2hrs 10min 22secs.

Total relation processing time: 0hrs 15min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 35sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

552776844944483194828818538218978035985606665058719385350656594255964288106932100516447157128269248460209473473294202109986752277169668718668412091795805467564011<162>

529418273437372004792802493796117431245946782471517<51>
1044121203742081283812185783460903546873774421784030207949501172383930437023301682268228071314221430295493969383<112>

Number: n
N=552776844944483194828818538218978035985606665058719385350656594255964288106932100516447157128269248460209473473294202109986752277169668718668412091795805467564011  ( 162 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sun Jul 31 09:39:11 2022  p51 factor: 529418273437372004792802493796117431245946782471517
Sun Jul 31 09:39:11 2022  p112 factor: 1044121203742081283812185783460903546873774421784030207949501172383930437023301682268228071314221430295493969383
Sun Jul 31 09:39:11 2022  elapsed time 00:19:24 (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 = 31x10^174-22 = 34(173)2
#
n: 552776844944483194828818538218978035985606665058719385350656594255964288106932100516447157128269248460209473473294202109986752277169668718668412091795805467564011
m: 50000000000000000000000000000000000
deg: 5
c5: 248
c0: -55
skew: 0.74
# Murphy_E = 1.449e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 23000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1207477 hash collisions in 12056699 relations (11583066 unique)
Msieve: matrix is 944986 x 945211 (328.1 MB)

Sieving start time : 2022/07/31 07:08:51
Sieving end time  : 2022/07/31 09:19:27

Total sieving time: 2hrs 10min 36secs.

Total relation processing time: 0hrs 13min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 17sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

21288284576294465046010163439088037357505837110287048482351325367394588655404477406949594835874193105342672709792610905095453921164675181980497184452685070732042301881609669<173>

37805072247093287547541218473384108528391904672956283291<56>
563106570387026675401089630975170156572853026162030327235732870758989738866181692400878025960901564347818867161750559<117>

Number: n
N=21288284576294465046010163439088037357505837110287048482351325367394588655404477406949594835874193105342672709792610905095453921164675181980497184452685070732042301881609669  ( 173 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Jul 30 13:07:29 2022  p56 factor: 37805072247093287547541218473384108528391904672956283291
Sat Jul 30 13:07:29 2022  p117 factor: 563106570387026675401089630975170156572853026162030327235732870758989738866181692400878025960901564347818867161750559
Sat Jul 30 13:07:29 2022  elapsed time 00:18:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 31x10^175-22 = 34(174)2
#
n: 21288284576294465046010163439088037357505837110287048482351325367394588655404477406949594835874193105342672709792610905095453921164675181980497184452685070732042301881609669
m: 100000000000000000000000000000000000
deg: 5
c5: 31
c0: -22
skew: 0.93
# Murphy_E = 1.338e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4183448 hash collisions in 30333053 relations (27738886 unique)
Msieve: matrix is 847958 x 848185 (287.6 MB)

Sieving start time : 2022/07/30 11:19:03
Sieving end time  : 2022/07/30 12:48:35

Total sieving time: 1hrs 29min 32secs.

Total relation processing time: 0hrs 10min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

7591042786945440387937722807019990289019822758953284344828501208765099416132600843118666316299733013625898577056250869182032891<127>

48095235249862362408986871176501226514403510092723<50>
157833572234521177866597064999117125067300533179350254020519017605418222744217<78>

7591042786945440387937722807019990289019822758953284344828501208765099416132600843118666316299733013625898577056250869182032891=48095235249862362408986871176501226514403510092723*157833572234521177866597064999117125067300533179350254020519017605418222744217

cado polynomial
n: 7591042786945440387937722807019990289019822758953284344828501208765099416132600843118666316299733013625898577056250869182032891
skew: 24553.594
c0: 3838642271472905815005461790
c1: 1084683134405256670794972
c2: 13027026964198232905
c3: -4176837692620798
c4: 21737528790
c5: 1098900
Y0: -2529800223657980728007561
Y1: 998892994713887
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.172e-07
# f(x) = 1098900*x^5+21737528790*x^4-4176837692620798*x^3+13027026964198232905*x^2+1084683134405256670794972*x+3838642271472905815005461790
# g(x) = 998892994713887*x-2529800223657980728007561

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

cado log (extracts)
Info:Square Root: Factors: 157833572234521177866597064999117125067300533179350254020519017605418222744217 48095235249862362408986871176501226514403510092723
Info:Square Root: Total cpu/real time for sqrt: 312.74/93.62
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.62/196.553
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 160.10000000000002s
Info:Square Root: Total cpu/real time for sqrt: 312.74/93.62
Info:Filtering - Singleton removal: Total cpu/real time for purge: 140.1/160.617
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12243250
Info:Lattice Sieving: Average J: 3791.55 for 257761 special-q, max bucket fill -bkmult 1.0,1s:1.215540
Info:Lattice Sieving: Total time: 75351s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.57/2.28516
Info:Linear Algebra: Total cpu/real time for bwc: 10462.5/2687.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6601.29, WCT time 1688.35, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Linear Algebra: Lingen CPU time 144.49, WCT time 36.72
Info:Linear Algebra: Mksol: CPU time 3586.47,  WCT time 915.54, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 125.76/32.7752
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.73/59.7198
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2560.84
Info:Polynomial Selection (root optimized): Rootsieve time: 2558.48
Info:Filtering - Merging: Merged matrix has 827419 rows and total weight 141467082 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 173.85/50.2765
Info:Filtering - Merging: Total cpu/real time for replay: 31.3/25.7412
Info:Quadratic Characters: Total cpu/real time for characters: 30.88/12.2593
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20008/37.820/45.237/48.570/0.855
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15820/36.990/40.623/46.040/1.057
Info:Polynomial Selection (size optimized): Total time: 1947.48
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 156186/42213.4
Info:root: Cleaning up computation data in /tmp/cado.t4rgpuai
157833572234521177866597064999117125067300533179350254020519017605418222744217 48095235249862362408986871176501226514403510092723

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

2896293824510585161011424284296837624773032296943362717727280427275946616765667521108499391631255756158031421490270496396528678081086387447443<142>

106527122580038619780486439224756401130214521139913<51>
27188323070816723771707032164234946770203673210002333584919353085890565607048797244219506811<92>

2896293824510585161011424284296837624773032296943362717727280427275946616765667521108499391631255756158031421490270496396528678081086387447443 =106527122580038619780486439224756401130214521139913*27188323070816723771707032164234946770203673210002333584919353085890565607048797244219506811

cado polynomial
n: 2896293824510585161011424284296837624773032296943362717727280427275946616765667521108499391631255756158031421490270496396528678081086387447443
skew: 0.37
type: snfs
c0: -11
c5: 1550
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 1550*x^5-11
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7900000
tasks.lim1 = 7900000
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: 106527122580038619780486439224756401130214521139913 27188323070816723771707032164234946770203673210002333584919353085890565607048797244219506811
Info:Square Root: Total cpu/real time for sqrt: 335.99/106.308
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22414147
Info:Lattice Sieving: Average J: 1894.61 for 1250808 special-q, max bucket fill -bkmult 1.0,1s:1.206230
Info:Lattice Sieving: Total time: 213672s
Info:Linear Algebra: Total cpu/real time for bwc: 26851.2/6895.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17117.94, WCT time 4373.19, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40704 iterations)
Info:Linear Algebra: Lingen CPU time 244.32, WCT time 62.02
Info:Linear Algebra: Mksol: CPU time 9264.78,  WCT time 2364.61, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20480 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 120.93/31.3944
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 217.48/184.497
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 167.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.39/1.91819
Info:Quadratic Characters: Total cpu/real time for characters: 43.72/19.4893
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.69/99.7224
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 99.6s
Info:Square Root: Total cpu/real time for sqrt: 335.99/106.308
Info:Filtering - Singleton removal: Total cpu/real time for purge: 107.69/113.046
Info:Filtering - Merging: Merged matrix has 1294657 rows and total weight 221832936 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 323.24/89.1764
Info:Filtering - Merging: Total cpu/real time for replay: 47.06/39.8153
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 426925/114800
Info:root: Cleaning up computation data in /tmp/cado.6qnj4f32
106527122580038619780486439224756401130214521139913 27188323070816723771707032164234946770203673210002333584919353085890565607048797244219506811

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)

491440800958747854176785965087818063085147557586816044649823774601974029580729605909370592327782297086449932563051863979370581402235376702574889720728058642478813862059<168>

1012238986049571682113742828991236280440178598268836557038280013491<67>
485498788064541966365483466598288043298381193990504578584132727014625216156211972471059083028872811049<102>

Number: n
N=491440800958747854176785965087818063085147557586816044649823774601974029580729605909370592327782297086449932563051863979370581402235376702574889720728058642478813862059  ( 168 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Aug 12 23:41:12 2022  p67 factor: 1012238986049571682113742828991236280440178598268836557038280013491
Fri Aug 12 23:41:12 2022  p102 factor: 485498788064541966365483466598288043298381193990504578584132727014625216156211972471059083028872811049
Fri Aug 12 23:41:12 2022  elapsed time 00:26:17 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 31x10^183-22 = 34(182)2
#
n: 491440800958747854176785965087818063085147557586816044649823774601974029580729605909370592327782297086449932563051863979370581402235376702574889720728058642478813862059
m: 1000000000000000000000000000000000000
deg: 5
c5: 15500
c0: -11
skew: 0.23
# Murphy_E = 5.348e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 16900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3171294 hash collisions in 28763017 relations (27307222 unique)
Msieve: matrix is 1012083 x 1012308 (348.8 MB)

Sieving start time : 2022/08/12 20:06:47
Sieving end time  : 2022/08/12 23:14:26

Total sieving time: 3hrs 7min 39secs.

Total relation processing time: 0hrs 16min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 46sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

13869928103478043734186581602639854217695822781287113049310425579305106119620863268229005534433<95>

37085866115842597060386998792754620381770871<44>
373994989362079151095231926068778946543341018136423<51>

N=13869928103478043734186581602639854217695822781287113049310425579305106119620863268229005534433
  ( 95 digits)
Divisors found:
p44 factor: 37085866115842597060386998792754620381770871
p51 factor: 373994989362079151095231926068778946543341018136423
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.06 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13869928103478043734186581602639854217695822781287113049310425579305106119620863268229005534433
skew: 428199.04
c0: 105013254542429930436763277
c1: -159272224705039349864
c2: -3175316332247735
c3: 1995187670
c4: 9240
Y0: -35002603005554956640838
Y1: 324497735533
rlim: 1500000
alim: 1500000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 930001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132752 x 132977
Total sieving time: 1.02 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,50,50,2.5,2.5,60000
total time: 1.06 hours.
 --------- CPU info (if available) ----------

496913228161002251288965063762692303960254073351901874855682675301444918056212365505042536715358560567353953971506907063428273420434734786958761485503467326018994779157094227<174>

704962822994507531929167320250505286985374033306889725882003028367291<69>
704878628989593930192972350467840550738502426261009237248842660631169526783669261813182308893199432737097<105>

Number: n
N=496913228161002251288965063762692303960254073351901874855682675301444918056212365505042536715358560567353953971506907063428273420434734786958761485503467326018994779157094227  ( 174 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sat Aug  6 12:01:23 2022  p69 factor: 704962822994507531929167320250505286985374033306889725882003028367291
Sat Aug  6 12:01:23 2022  p105 factor: 704878628989593930192972350467840550738502426261009237248842660631169526783669261813182308893199432737097
Sat Aug  6 12:01:23 2022  elapsed time 00:19:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 31x10^186-22 = 34(185)2
#
n: 496913228161002251288965063762692303960254073351901874855682675301444918056212365505042536715358560567353953971506907063428273420434734786958761485503467326018994779157094227
m: 10000000000000000000000000000000000000
deg: 5
c5: 155
c0: -11
skew: 0.59
# Murphy_E = 5.062e-11
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1665092 hash collisions in 11757307 relations (10683977 unique)
Msieve: matrix is 988895 x 989120 (344.3 MB)

Sieving start time : 2022/08/06 07:18:34
Sieving end time  : 2022/08/06 11:40:59

Total sieving time: 4hrs 22min 25secs.

Total relation processing time: 0hrs 15min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

2589029473907568956193051882033833202983132342189745216016434996075025471360539219513690330267942981428403342812476791804080637871237990198616245225459460658213964154259887514543349<181>

231699613441011139970356217175280906183120201037<48>
648960465265029119863656189945853495078281600162136838509741817753<66>
17218425861103420256262399993979875739245266845448582724415984258609<68>

Number: n
N=11174077657953085274000322176578887017472847189287205906807398504797576263694619687391205888382163658412464051390034409653985699285577  ( 134 digits)
SNFS difficulty: 190 digits.
Divisors found:

Mon Aug  8 05:33:35 2022  p66 factor: 648960465265029119863656189945853495078281600162136838509741817753
Mon Aug  8 05:33:35 2022  p68 factor: 17218425861103420256262399993979875739245266845448582724415984258609
Mon Aug  8 05:33:35 2022  elapsed time 00:39:58 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# 31x10^189-22 = 34(188)2
#
# n: 2589029473907568956193051882033833202983132342189745216016434996075025471360539219513690330267942981428403342812476791804080637871237990198616245225459460658213964154259887514543349
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 2589029473907568956193051882033833202983132342189745216016434996075025471360539219513690330267942981428403342812476791804080637871237990198616245225459460658213964154259887514543349 (181 digits)
# Using B1=18680000, B2=70271005360, polynomial Dickson(12), sigma=1:1870683085
# Step 1 took 49877ms
# ********** Factor found in step 1: 231699613441011139970356217175280906183120201037
# Found prime factor of 48 digits: 231699613441011139970356217175280906183120201037
# Composite cofactor 11174077657953085274000322176578887017472847189287205906807398504797576263694619687391205888382163658412464051390034409653985699285577 has 134 digits
#
n: 11174077657953085274000322176578887017472847189287205906807398504797576263694619687391205888382163658412464051390034409653985699285577
m: 50000000000000000000000000000000000000
deg: 5
c5: 248
c0: -55
skew: 0.74
# Murphy_E = 3.565e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3364635 hash collisions in 29149359 relations (27488596 unique)
Msieve: matrix is 1213941 x 1214166 (420.5 MB)

Sieving start time : 2022/08/08 00:09:30
Sieving end time  : 2022/08/08 04:53:06

Total sieving time: 4hrs 43min 36secs.

Total relation processing time: 0hrs 25min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 11sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

7340829789396862512123056358731335153382322737498527961904422849759040674317826255080856002771740473634503186644279546307404341985028689878385439268484250453148784429<166>

26030522019355534192255258074905620748927<41>
282008550728964880764981398550191767614472537497714200067145758870353209702462866018052339523010860682979108483879642929414227<126>

Number: n
N=7340829789396862512123056358731335153382322737498527961904422849759040674317826255080856002771740473634503186644279546307404341985028689878385439268484250453148784429  ( 166 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Aug 13 04:47:35 2022  p41 factor: 26030522019355534192255258074905620748927
Sat Aug 13 04:47:35 2022  p126 factor: 282008550728964880764981398550191767614472537497714200067145758870353209702462866018052339523010860682979108483879642929414227
Sat Aug 13 04:47:35 2022  elapsed time 00:41:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 31x10^191-22 = 34(190)2
#
n: 7340829789396862512123056358731335153382322737498527961904422849759040674317826255080856002771740473634503186644279546307404341985028689878385439268484250453148784429
m: 100000000000000000000000000000000000000
deg: 5
c5: 155
c0: -11
skew: 0.59
# Murphy_E = 3.153e-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 3081641 hash collisions in 28231715 relations (26832556 unique)
Msieve: matrix is 1345556 x 1345781 (467.4 MB)

Sieving start time : 2022/08/12 23:43:01
Sieving end time  : 2022/08/13 04:05:11

Total sieving time: 4hrs 22min 10secs.

Total relation processing time: 0hrs 32min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 32sec.

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) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

1076646264803423540096175511206153644209755781857263365737141947187603879033435641899783658993905488871109070355072620250494898000140832259064582889666731237637921969857961966962617<181>

51624232278688080444844106936911203234258547790595319456157614218712015699451<77>
20855443602362161934499286167890064635867082591520004557500349060631983475633387360204495523225633269467<104>

Number: n
N=1076646264803423540096175511206153644209755781857263365737141947187603879033435641899783658993905488871109070355072620250494898000140832259064582889666731237637921969857961966962617  ( 181 digits)
SNFS difficulty: 193 digits.
Divisors found:

Thu Aug 11 21:39:16 2022  p77 factor: 51624232278688080444844106936911203234258547790595319456157614218712015699451
Thu Aug 11 21:39:16 2022  p104 factor: 20855443602362161934499286167890064635867082591520004557500349060631983475633387360204495523225633269467
Thu Aug 11 21:39:16 2022  elapsed time 00:52:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 31x10^192-22 = 34(191)2
#
n: 1076646264803423540096175511206153644209755781857263365737141947187603879033435641899783658993905488871109070355072620250494898000140832259064582889666731237637921969857961966962617
m: 100000000000000000000000000000000000000
deg: 5
c5: 1550
c0: -11
skew: 0.37
# Murphy_E = 2.644e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3263699 hash collisions in 28101801 relations (26454925 unique)
Msieve: matrix is 1491098 x 1491324 (519.9 MB)

Sieving start time : 2022/08/11 15:42:49
Sieving end time  : 2022/08/11 20:46:19

Total sieving time: 5hrs 3min 30secs.

Total relation processing time: 0hrs 42min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 9sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

3267759113817470649955924868382317328727101171774974024446549047843826238145648679531611746542030121483552696407148356084675495427467229081337761891<148>

850146366810617516495608405799587903959745291437907641360431<60>
3843760605690398226988973245235556299683031496143553208317596684042507128913290860507661<88>

3267759113817470649955924868382317328727101171774974024446549047843826238145648679531611746542030121483552696407148356084675495427467229081337761891=850146366810617516495608405799587903959745291437907641360431*3843760605690398226988973245235556299683031496143553208317596684042507128913290860507661

cado polynomial
n: 3267759113817470649955924868382317328727101171774974024446549047843826238145648679531611746542030121483552696407148356084675495427467229081337761891
skew: 0.23
type: snfs
c0: -11
c5: 15500
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 15500*x^5-11
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12100000
tasks.lim1 = 12100000
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: 850146366810617516495608405799587903959745291437907641360431 3843760605690398226988973245235556299683031496143553208317596684042507128913290860507661
Info:Square Root: Total cpu/real time for sqrt: 7269.02/900.088
Info:Square Root: Total cpu/real time for sqrt: 7269.02/900.088
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 716.67/306.537
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 229.80000000000004s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.85/1.04494
Info:Linear Algebra: Total cpu/real time for bwc: 292691/61283.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 96373.88, WCT time 21426.85, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (79360 iterations)
Info:Linear Algebra: Lingen CPU time 149194.07, WCT time 31052.45
Info:Linear Algebra: Mksol: CPU time 46258.6,  WCT time 8571.13, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (39936 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29075802
Info:Lattice Sieving: Average J: 1897.01 for 3357863 special-q, max bucket fill -bkmult 1.0,1s:1.072280
Info:Lattice Sieving: Total time: 688797s
Info:Generate Free Relations: Total cpu/real time for freerel: 146.78/13.2951
Info:Filtering - Merging: Merged matrix has 2533234 rows and total weight 431633071 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 792.82/95.796
Info:Filtering - Merging: Total cpu/real time for replay: 85.98/70.3937
Info:Filtering - Singleton removal: Total cpu/real time for purge: 568.44/243.095
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 194.62/60.5638
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.900000000000006s
Info:Quadratic Characters: Total cpu/real time for characters: 94.37/23.9178
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.65718e+06/407879
Info:root: Cleaning up computation data in /tmp/cado.o3ud4w5s
850146366810617516495608405799587903959745291437907641360431 3843760605690398226988973245235556299683031496143553208317596684042507128913290860507661

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)

15615648500875794950333746041318888629720566879721350032556777553365988996224015187591957317584818155581217234628937368837536657185897919945410854678329094574748374837251923542288113<182>

7025128297775923324552520529519200945203634699<46>
2222827518441127087691972663145165442715722799637787633881185328990217645938260101651673752598593591327578754009947384716581545752220787<136>

Number: n
N=15615648500875794950333746041318888629720566879721350032556777553365988996224015187591957317584818155581217234628937368837536657185897919945410854678329094574748374837251923542288113  ( 182 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Aug 17 17:05:58 2022  p46 factor: 7025128297775923324552520529519200945203634699
Wed Aug 17 17:05:58 2022  p136 factor: 2222827518441127087691972663145165442715722799637787633881185328990217645938260101651673752598593591327578754009947384716581545752220787
Wed Aug 17 17:05:58 2022  elapsed time 01:06:03 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 31x10^196-22 = 34(195)2
#
n: 15615648500875794950333746041318888629720566879721350032556777553365988996224015187591957317584818155581217234628937368837536657185897919945410854678329094574748374837251923542288113
m: 1000000000000000000000000000000000000000
deg: 5
c5: 155
c0: -11
skew: 0.59
# Murphy_E = 1.956e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3305016 hash collisions in 27714514 relations (25971714 unique)
Msieve: matrix is 1704435 x 1704660 (590.9 MB)

Sieving start time : 2022/08/17 10:43:41
Sieving end time  : 2022/08/17 15:59:23

Total sieving time: 5hrs 15min 42secs.

Total relation processing time: 0hrs 55min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 11sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6075645431500996088972791452695146293991854469551684623659555143350766195613819322696907638951293773707886953567515217779709841238814427751185214576634508011<157>

11513575441193719511917105907707766941268850457<47>
527694065369417285619353814850935894995130886998981000212700125671690342205158177588754261401940624046444367523<111>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 6075645431500996088972791452695146293991854469551684623659555143350766195613819322696907638951293773707886953567515217779709841238814427751185214576634508011 (157 digits)
Using B1=23560000, B2=96188942866, polynomial Dickson(12), sigma=1:4091615434
Step 1 took 54907ms
Step 2 took 19081ms
********** Factor found in step 2: 11513575441193719511917105907707766941268850457
Found prime factor of 47 digits: 11513575441193719511917105907707766941268850457
Prime cofactor 527694065369417285619353814850935894995130886998981000212700125671690342205158177588754261401940624046444367523 has 111 digits

123941675856694302391166887559471972567215993870744990648114560522758734780783892235156679059382091473283208180173832097779772409185666596233666104165595369319470449830512008105203195091<186>

84837020956333930606641925874907613690553608332758716156304310499742612329473774101669963<89>
1460938567379537610753622611739528580960090918564288532437311093968006553522989234418471114594457<97>

Number: n
N=123941675856694302391166887559471972567215993870744990648114560522758734780783892235156679059382091473283208180173832097779772409185666596233666104165595369319470449830512008105203195091  ( 186 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Oct 31 01:39:43 2022  p89 factor: 84837020956333930606641925874907613690553608332758716156304310499742612329473774101669963
Mon Oct 31 01:39:43 2022  p97 factor: 1460938567379537610753622611739528580960090918564288532437311093968006553522989234418471114594457
Mon Oct 31 01:39:43 2022  elapsed time 01:36:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.230).
Factorization parameters were as follows:
#
# N = 31x10^200-22 = 34(199)2
#
n: 123941675856694302391166887559471972567215993870744990648114560522758734780783892235156679059382091473283208180173832097779772409185666596233666104165595369319470449830512008105203195091
m: 10000000000000000000000000000000000000000
deg: 5
c5: 31
c0: -22
skew: 0.93
# Murphy_E = 1.259e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6

Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 35221367)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2990640 hash collisions in 15598591 relations (13003641 unique)
Msieve: matrix is 2151865 x 2152091 (750.1 MB)

Sieving start time : 2022/10/30 12:11:42
Sieving end time  : 2022/10/31 00:02:53

Total sieving time: 11hrs 51min 11secs.

Total relation processing time: 1hrs 28min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,27,27,54,54,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ---------

42600238413892907742077107584249161337272711406756585379582709068062104717389903276562057402682010172302373803796507793547373007968257877500497858408937355901781051167042199<173>

3617856804238929454770987350251876580800475848987556660588461<61>
11774992963784399437305061626367600886193435985892181914652656817872547896555122193896772939367787408726778543059<113>

Number: n
N=42600238413892907742077107584249161337272711406756585379582709068062104717389903276562057402682010172302373803796507793547373007968257877500497858408937355901781051167042199  ( 173 digits)
SNFS difficulty: 203 digits.
Divisors found:

Tue Aug 15 07:20:52 2023  prp61 factor: 3617856804238929454770987350251876580800475848987556660588461
Tue Aug 15 07:20:52 2023  prp113 factor: 11774992963784399437305061626367600886193435985892181914652656817872547896555122193896772939367787408726778543059
Tue Aug 15 07:20:52 2023  elapsed time 02:47:37 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 31x10^202-22 = 34(201)2
#
n: 42600238413892907742077107584249161337272711406756585379582709068062104717389903276562057402682010172302373803796507793547373007968257877500497858408937355901781051167042199
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1550
c0: -11
skew: 0.37
# Murphy_E = 1.013e-11
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3060853 hash collisions in 18283470 relations (15658547 unique)
Msieve: matrix is 2269402 x 2269627 (640.3 MB)

Sieving start time: 2023/08/14 14:09:52
Sieving end time  : 2023/08/15 04:32:47

Total sieving time: 14hrs 22min 55secs.

Total relation processing time: 2hrs 34min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 40sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17000000,17000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

71764331427607818709533297994763040569013978217234539547421962222242809618218713850483114144456755338925408199049703632209335736797514281640567449026010305065538027951711<170>

23257966031969130933117853380282226377212474519399232757214243167251007023606127<80>
3085580713677390571010275309161402598458717395596408837369107421308705117392580457048459793<91>

Number: n
N=71764331427607818709533297994763040569013978217234539547421962222242809618218713850483114144456755338925408199049703632209335736797514281640567449026010305065538027951711  ( 170 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri Aug 25 00:13:50 2023  prp80 factor: 23257966031969130933117853380282226377212474519399232757214243167251007023606127
Fri Aug 25 00:13:50 2023  prp91 factor: 3085580713677390571010275309161402598458717395596408837369107421308705117392580457048459793
Fri Aug 25 00:13:50 2023  elapsed time 03:18:09 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 31x10^203-22 = 34(202)2
#
n: 71764331427607818709533297994763040569013978217234539547421962222242809618218713850483114144456755338925408199049703632209335736797514281640567449026010305065538027951711
m: 10000000000000000000000000000000000000000
deg: 5
c5: 15500
c0: -11
skew: 0.23
# Murphy_E = 7.964e-12
type: snfs
lss: 1
rlim: 17700000
alim: 17700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3164328 hash collisions in 17259047 relations (14739897 unique)
Msieve: matrix is 2487143 x 2487368 (699.3 MB)

Sieving start time: 2023/08/24 04:29:16
Sieving end time  : 2023/08/24 20:55:18

Total sieving time: 16hrs 26min 2secs.

Total relation processing time: 3hrs 6min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 58sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17700000,17700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

25962355905590759426910487989179609762282962957157921106413207006704901679222813045344786396642676433226235119679268041289369219546003379930825149403<149>

2135313676176284525360578420927085476130221575880591414034201<61>
12158567706118785748728038917726179747938141127717202042285683226441070179923661934486803<89>

2135313676176284525360578420927085476130221575880591414034201
12158567706118785748728038917726179747938141127717202042285683226441070179923661934486803

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

17222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<206>

22729935731071016893150827579668973431928869<44>

757688997715908830064869041875974557574350252451532964496433363831484735224917838076526354905436253954223690737542547071664925415503193399215912969142340577889609<162>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1856653252
Step 1 took 63860ms
Step 2 took 25097ms
********** Factor found in step 2: 22729935731071016893150827579668973431928869
Found prime factor of 44 digits: 22729935731071016893150827579668973431928869
Composite cofactor 757688997715908830064869041875974557574350252451532964496433363831484735224917838076526354905436253954223690737542547071664925415503193399215912969142340577889609 has 162 digits

757688997715908830064869041875974557574350252451532964496433363831484735224917838076526354905436253954223690737542547071664925415503193399215912969142340577889609<162>

164662015170219044764533617477396921690380753924311423629522549603<66>
4601480170958974787605322997267570215592247842238864097151634371302318244286823658335269895893603<97>

Number: n
N=757688997715908830064869041875974557574350252451532964496433363831484735224917838076526354905436253954223690737542547071664925415503193399215912969142340577889609  ( 162 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Feb 27 13:59:24 2024  prp66 factor: 164662015170219044764533617477396921690380753924311423629522549603
Tue Feb 27 13:59:24 2024  prp97 factor: 4601480170958974787605322997267570215592247842238864097151634371302318244286823658335269895893603
Tue Feb 27 13:59:24 2024  elapsed time 03:28:21 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 31x10^205-22 = 34(204)2
#
n: 757688997715908830064869041875974557574350252451532964496433363831484735224917838076526354905436253954223690737542547071664925415503193399215912969142340577889609
m: 100000000000000000000000000000000000000000
deg: 5
c5: 31
c0: -22
skew: 0.93
# Murphy_E = 7.75e-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, 49650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3462368 hash collisions in 19065053 relations (15960314 unique)
Msieve: matrix is 2548007 x 2548232 (715.5 MB)

Sieving start time: 2024/02/26 11:48:12
Sieving end time  : 2024/02/27 10:29:49

Total sieving time: 22hrs 41min 37secs.

Total relation processing time: 3hrs 17min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 42sec.

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) ----------

15967065101776710802196113900220193234768986932557705985617482171484582832164766793250717871426700997290466438818109333453022161185286440201807895501200024678107420293388533764694991458853<188>

1887810548276041205308988901454757767481449<43>
8457980657199908614507082968469560468814155067543944510015045999502917846986674888544664169805999228152629370107705064828118554345679843632456797<145>

Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Sat Sep  3 03:03:15 2022 
Input number is 15967065101776710802196113900220193234768986932557705985617482171484582832164766793250717871426700997290466438818109333453022161185286440201807895501200024678107420293388533764694991458853 (188 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3640316877
Step 1 took 0ms
Step 2 took 6275ms
********** Factor found in step 2: 1887810548276041205308988901454757767481449
Found prime factor of 43 digits: 1887810548276041205308988901454757767481449
Prime cofactor 8457980657199908614507082968469560468814155067543944510015045999502917846986674888544664169805999228152629370107705064828118554345679843632456797 has 145 digits

2116425918196331696435187692619318190626484912302876667315647544212157530565893898486384508889652500588015607108578369631451947775944271642250410693438183058436993700807119<172>

70567032399456467657864800015856302022628428952944842883737<59>
29991709247683103086069676161247305403432332877137758645929480050309455622913065479023306413577938662437927506087<113>

09/04/24 04:55:17 v1.34.5 @ RYZEN-9,
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, ****************************
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, Starting factorization of 30999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999978
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, using pretesting plan: normal
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, ****************************
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, div: found prime factor = 2
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, div: found prime factor = 23
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, div: found prime factor = 3001
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C203
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C203
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C203
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C203
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, prp14 = 62704280839979
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 58.15
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C189 input, B1=2K, B2=gmp-ecm default
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 58.15
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, prp18 = 188016123709564727 (curve 14 stg2 B1=11000 sigma=2169742826 thread=0)
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, Finished 14 curves using Lenstra ECM method on C189 input, B1=11K, B2=gmp-ecm default
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 16.12
09/04/24 04:55:17 v1.34.5 @ RYZEN-9, scheduled 60 curves at B1=11000 toward target pretesting depth of 52.92
09/04/24 04:55:19 v1.34.5 @ RYZEN-9, Finished 60 curves using Lenstra ECM method on C172 input, B1=11K, B2=gmp-ecm default
09/04/24 04:55:19 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
09/04/24 04:55:19 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 52.92
09/04/24 04:56:06 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 30999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999978
09/04/24 04:56:06 v1.34.5 @ RYZEN-9, nfs: input divides 31*10^207 - 22
09/04/24 04:56:06 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 2116425918196331696435187692619318190626484912302876667315647544212157530565893898486384508889652500588015607108578369631451947775944271642250410693438183058436993700807119
09/04/24 04:56:06 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c172: 2116425918196331696435187692619318190626484912302876667315647544212157530565893898486384508889652500588015607108578369631451947775944271642250410693438183058436993700807119
09/04/24 04:56:07 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 2116425918196331696435187692619318190626484912302876667315647544212157530565893898486384508889652500588015607108578369631451947775944271642250410693438183058436993700807119
# 31*10^207-22, difficulty: 210.49, anorm: -8.75e+026, rnorm: 1.64e+047
# scaled difficulty: 213.87, suggest sieving rational side
# size = 1.537e-014, alpha = 0.014, combined = 6.229e-012, rroots = 1
type: snfs
size: 210
skew: 0.3717
c5: 1550
c0: -11
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 2116425918196331696435187692619318190626484912302876667315647544212157530565893898486384508889652500588015607108578369631451947775944271642250410693438183058436993700807119
# 31*10^207-22, difficulty: 209.39, anorm: -8.21e+026, rnorm: 2.32e+047
# scaled difficulty: 212.80, suggest sieving rational side
# size = 1.220e-014, alpha = -0.679, combined = 5.426e-012, rroots = 1
type: snfs
size: 209
skew: 0.7434
c5: 775
c0: -176
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 2116425918196331696435187692619318190626484912302876667315647544212157530565893898486384508889652500588015607108578369631451947775944271642250410693438183058436993700807119
# 31*10^207-22, difficulty: 211.49, anorm: -2.88e+033, rnorm: 1.83e+040
# scaled difficulty: 212.63, suggest sieving rational side
# size = 1.131e-010, alpha = 0.424, combined = 3.647e-012, rroots = 2
type: snfs
size: 211
skew: 0.2987
c6: 15500
c0: -11
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
09/04/24 04:56:08 v1.34.5 @ RYZEN-9, test: fb generation took 1.7500 seconds
09/04/24 04:56:08 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.3717
c5: 1550
c0: -11
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/04/24 04:59:21 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/04/24 04:59:22 v1.34.5 @ RYZEN-9, test: fb generation took 1.7187 seconds
09/04/24 04:59:22 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.7434
c5: 775
c0: -176
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/04/24 05:02:34 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/04/24 05:02:37 v1.34.5 @ RYZEN-9, test: fb generation took 2.6406 seconds
09/04/24 05:02:37 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.2987
c6: 15500
c0: -11
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/04/24 05:05:37 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/04/24 05:05:37 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 2116425918196331696435187692619318190626484912302876667315647544212157530565893898486384508889652500588015607108578369631451947775944271642250410693438183058436993700807119
# 31*10^207-22, difficulty: 210.49, anorm: -8.75e+026, rnorm: 1.64e+047
# scaled difficulty: 213.87, suggest sieving rational side
# size = 1.537e-014, alpha = 0.014, combined = 6.229e-012, rroots = 1
type: snfs
size: 210
skew: 0.3717
c5: 1550
c0: -11
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
09/05/24 08:30:34 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/05/24 08:32:38 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22108546
09/05/24 10:03:28 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/05/24 10:05:40 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23217408
09/05/24 11:50:25 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/05/24 11:52:42 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24469497
09/05/24 13:38:21 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/05/24 13:40:45 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25710716
09/05/24 15:41:09 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/05/24 15:43:40 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27091055
09/05/24 17:45:03 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/05/24 17:49:33 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
09/05/24 22:28:21 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
09/05/24 22:35:32 v1.34.5 @ RYZEN-9, prp59 = 70567032399456467657864800015856302022628428952944842883737
09/05/24 22:35:32 v1.34.5 @ RYZEN-9, prp113 = 29991709247683103086069676161247305403432332877137758645929480050309455622913065479023306413577938662437927506087
09/05/24 22:35:32 v1.34.5 @ RYZEN-9, NFS elapsed time = 149965.5123 seconds.
09/05/24 22:35:32 v1.34.5 @ RYZEN-9,
09/05/24 22:35:32 v1.34.5 @ RYZEN-9,
09/04/24 05:05:37 v1.34.5 @ RYZEN-9, test: test sieving took 570.72 seconds

YAFU

196613372124028757946535071608613480669270128056862424260347604013411266449587341030490996386634949942167527861376923608046891405604577418087883650090187072350934817734411307712158342775377<189>

14553449629743316112099461028324041825550407015081671901<56>
13509743540267194468792760487178478287784738211023523815874470971188825797297318042937559048451150313774734526837315524149403039939077<134>

10/18/24 09:21:25 v1.34.5 @ TRIGKEY,
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, ****************************
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, Starting factorization of 309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999978
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, using pretesting plan: normal
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, ****************************
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, div: found prime factor = 2
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, div: found prime factor = 3
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, div: found prime factor = 3
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, div: found prime factor = 241
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, div: found prime factor = 619
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C204
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C204
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, prp5 = 10837
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C200
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C200
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C200
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, prp11 = 54182541451
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 58.15
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C189 input, B1=2K, B2=gmp-ecm default
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
10/18/24 09:21:25 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 58.15
10/18/24 09:21:28 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C189 input, B1=11K, B2=gmp-ecm default
10/18/24 09:21:28 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
10/18/24 09:21:28 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 58.15
10/18/24 09:22:06 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c210: 309999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999978
10/18/24 09:22:06 v1.34.5 @ TRIGKEY, nfs: input divides 31*10^208 - 22
10/18/24 09:22:06 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 196613372124028757946535071608613480669270128056862424260347604013411266449587341030490996386634949942167527861376923608046891405604577418087883650090187072350934817734411307712158342775377
10/18/24 09:22:06 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c189: 196613372124028757946535071608613480669270128056862424260347604013411266449587341030490996386634949942167527861376923608046891405604577418087883650090187072350934817734411307712158342775377
10/18/24 09:22:06 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 196613372124028757946535071608613480669270128056862424260347604013411266449587341030490996386634949942167527861376923608046891405604577418087883650090187072350934817734411307712158342775377
# 31*10^208-22, difficulty: 212.49, anorm: -2.20e+027, rnorm: 2.06e+047
# scaled difficulty: 215.82, suggest sieving rational side
# size = 1.012e-014, alpha = -0.114, combined = 4.901e-012, rroots = 1
type: snfs
size: 212
skew: 0.2345
c5: 15500
c0: -11
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 196613372124028757946535071608613480669270128056862424260347604013411266449587341030490996386634949942167527861376923608046891405604577418087883650090187072350934817734411307712158342775377
# 31*10^208-22, difficulty: 210.89, anorm: -2.64e+026, rnorm: 4.62e+047
# scaled difficulty: 214.43, suggest sieving rational side
# size = 9.254e-015, alpha = 0.154, combined = 4.567e-012, rroots = 1
type: snfs
size: 210
skew: 1.1727
c5: 124
c0: -275
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
n: 196613372124028757946535071608613480669270128056862424260347604013411266449587341030490996386634949942167527861376923608046891405604577418087883650090187072350934817734411307712158342775377
# 31*10^208-22, difficulty: 210.89, anorm: 9.91e+031, rnorm: 4.96e+040
# scaled difficulty: 212.34, suggest sieving rational side
# size = 9.847e-011, alpha = 0.371, combined = 3.313e-012, rroots = 2
type: snfs
size: 210
skew: 1.0174
c6: 248
c0: -275
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
10/18/24 09:22:08 v1.34.5 @ TRIGKEY, test: fb generation took 1.7380 seconds
10/18/24 09:22:08 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.2345
c5: 15500
c0: -11
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/18/24 09:25:08 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
10/18/24 09:25:09 v1.34.5 @ TRIGKEY, test: fb generation took 1.6493 seconds
10/18/24 09:25:09 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 1.1727
c5: 124
c0: -275
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/18/24 09:28:04 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
10/18/24 09:28:07 v1.34.5 @ TRIGKEY, test: fb generation took 2.4222 seconds
10/18/24 09:28:07 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 1.0174
c6: 248
c0: -275
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/18/24 09:30:54 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
10/18/24 09:30:54 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 196613372124028757946535071608613480669270128056862424260347604013411266449587341030490996386634949942167527861376923608046891405604577418087883650090187072350934817734411307712158342775377
# 31*10^208-22, difficulty: 212.49, anorm: -2.20e+027, rnorm: 2.06e+047
# scaled difficulty: 215.82, suggest sieving rational side
# size = 1.012e-014, alpha = -0.114, combined = 4.901e-012, rroots = 1
type: snfs
size: 212
skew: 0.2345
c5: 15500
c0: -11
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
10/20/24 07:55:24 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
10/20/24 08:01:28 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
10/20/24 12:44:32 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
10/20/24 12:49:24 v1.34.5 @ TRIGKEY, prp134 = 13509743540267194468792760487178478287784738211023523815874470971188825797297318042937559048451150313774734526837315524149403039939077
10/20/24 12:49:24 v1.34.5 @ TRIGKEY, prp56 = 14553449629743316112099461028324041825550407015081671901
10/20/24 12:49:24 v1.34.5 @ TRIGKEY, NFS elapsed time = 185237.7694 seconds.
10/20/24 12:49:24 v1.34.5 @ TRIGKEY,
10/20/24 12:49:24 v1.34.5 @ TRIGKEY,
10/18/24 09:30:54 v1.34.5 @ TRIGKEY, test: test sieving took 527.71 seconds

YAFU

126611286632595828060226985826473670439839411242680448585529411983973247437444751214362845701327018833095800799902622076718250983319631679052732515888089171055378826481778500505565950952169<189>

43839700768557770117246726215152708308689<41>

2888050885680373710964708295723210791218582081295036038711739435350459240165874487675485009882296782104888445800492571704449395459770515854655367321<148>

GPU: factor 43839700768557770117246726215152708308689 found in Step 1 with curve 1187 (-sigma 3:-2140563647)
Computing 1792 Step 1 took 3574ms of CPU time / 2556589ms of GPU time
Throughput: 0.701 curves per second (on average 1426.67ms per Step 1)
********** Factor found in step 1: 43839700768557770117246726215152708308689
Found prime factor of 41 digits: 43839700768557770117246726215152708308689
Composite cofactor 2888050885680373710964708295723210791218582081295036038711739435350459240165874487675485009882296782104888445800492571704449395459770515854655367321 has 148 digits
Peak memory usage: 9500MB

894519580299147623228739078645921850199098021591301048747876357719010785929369770039217319194739827049383079665712004031857018241490201852325858996115067208605103303403113629931476691619096639065533<198>

594158340924194772429159677422080199285811<42>

1505523896050588650714897733409540755402164897920339808525841772921079338130682658686542992614422464619696762672860353992390713374738125598852194669627457103<157>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3993939989
Step 1 took 62706ms
Step 2 took 25001ms
********** Factor found in step 2: 594158340924194772429159677422080199285811
Found prime factor of 42 digits: 594158340924194772429159677422080199285811
Composite cofactor 1505523896050588650714897733409540755402164897920339808525841772921079338130682658686542992614422464619696762672860353992390713374738125598852194669627457103 has 157 digits

1430262312875688800154450634562899829263645592522736742003245451654550631257433042046708230204048334319618988148962993672135165136072205045282253018659916206571209152116635833973243541241193<190>

411442083587415939040516657287015335413746791538654485327278824459420229291058784857009600617256970735155928068321917105139222817368393806984106731<147>

7138855874870406038376574798150527089741<40>
1378429005345296233614062700543466644394846159049269<52>
41811494715372433779214368900753671958687486764175850139<56>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2819493818
Step 1 took 22537ms
Step 2 took 11362ms
********** Factor found in step 2: 7138855874870406038376574798150527089741
Found prime factor of 40 digits: 7138855874870406038376574798150527089741
Composite cofactor 57634177072510933745703240140253983991144466409114423682310987884197859594075777494820010529327946061498391 has 107 digits

N=57634177072510933745703240140253983991144466409114423682310987884197859594075777494820010529327946061498391
  ( 107 digits)
Divisors found:
 r1=1378429005345296233614062700543466644394846159049269 (pp52)
 r2=41811494715372433779214368900753671958687486764175850139 (pp56)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 6.00 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 57634177072510933745703240140253983991144466409114423682310987884197859594075777494820010529327946061498391
skew: 1345679.98
c0: 24667700982811422837721459303
c1: 18201081275306269039117
c2: -78139487169702930
c3: -24158664704
c4: 23520
Y0: -39564978105965390288998816
Y1: 83360052700037
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2780000/2780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1390000, 2240001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 337768 x 337995
Total sieving time: 5.88 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,106,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2780000,2780000,26,26,52,52,2.5,2.5,150000
total time: 6.00 hours.
 --------- CPU info (if available) ----------

42240929527387477389683496232839283433648193037417861795436238428734521795704848137705347353057825437115829712412474389608039491987456469750217872032972204521311123<164>

12438597110611618824818904856222819573577042886899308593723454026045061233892418871435780407940038864815435515071773853676377258193892791306811057096470435647390677729<167>

803973314122017827598194310085017749974451<42>

15471405446081549346546049454198254606103567999738895413655947726040888507927232891271201985163927942031361069233101110801179<125>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:316400706
Step 1 took 23500ms
Step 2 took 10675ms
********** Factor found in step 2: 803973314122017827598194310085017749974451
Found prime factor of 42 digits: 803973314122017827598194310085017749974451
Composite cofactor 15471405446081549346546049454198254606103567999738895413655947726040888507927232891271201985163927942031361069233101110801179 has 125 digits

15471405446081549346546049454198254606103567999738895413655947726040888507927232891271201985163927942031361069233101110801179<125>

622708043299489306693823557849876640145883648232503<51>
24845359896275869583800865229396850357670636825417392244930938600366392893<74>

****************************
Starting factorization of 154714......801179
using pretesting plan: normal
no tune info: using qs/gnfs crossover of 95 digits
****************************
rho: x^2 + 3, starting 2000 iterations on C125
rho: x^2 + 2, starting 2000 iterations on C125
rho: x^2 + 1, starting 2000 iterations on C125
pm1: starting B1 = 150K, B2 = gmp-ecm default on C125
final ECM pretested depth: 0.00
scheduler: switching to sieve method
commencing nfs on c125
nfs: commencing poly selection with 4 threads
nfs: setting deadline of 6564 seconds
nfs: completed 51 ranges of size 250 in 6346.0755 seconds
nfs: best poly = # norm 6.806992e-012 alpha -6.963463 e 1.602e-010 rroots 5
prp74 = 24845359896275869583800865229396850357670636825417392244930938600366392893
prp51 = 622708043299489306693823557849876640145883648232503
Total factoring time = 51902.8813 seconds

YAFU v1.54.

Windows 7 Professional SP1, Intel i5-3570, 8 GB RAM.

95383455064702280048911653614592862711252623227370391370717706869595605904438697260615356136612348403529352157554924239190640432691350066623635005235340253366862776782244758860396878334432705444759<197>

1054528067051584365422650398319876083952940777730558669705672272692133928373294976410415254220968653491740756876383864870744390982297821841568978475215357716271141500373297819048711<181>

5287227146957645461959812205025561<34>
199448224511855250321588970939065208662920053731567099763874052948978215540388436901472340720043359725519981997647809956790287687390446599315749151<147>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 17:17:41 2022 
Input number is 1054528067051584365422650398319876083952940777730558669705672272692133928373294976410415254220968653491740756876383864870744390982297821841568978475215357716271141500373297819048711 (181 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1125098139
Step 1 took 0ms
Step 2 took 2934ms
********** Factor found in step 2: 5287227146957645461959812205025561
Found prime factor of 34 digits: 5287227146957645461959812205025561
Prime cofactor 199448224511855250321588970939065208662920053731567099763874052948978215540388436901472340720043359725519981997647809956790287687390446599315749151 has 147 digits

3246489441706871626545523108962868651826433319136934793677292093649451364270378117515355550317689737258624763445141592187070766672782389419158974119373910718627625424991495039060257573<184>

1065244626144642363700525551951828056142176075449825587910157<61>
3047646861600832690574014879802280704025041556390878665129249484680926946288066993502829700027545022407733990391061877504889<124>

Number: 34442_219
N = 3246489441706871626545523108962868651826433319136934793677292093649451364270378117515355550317689737258624763445141592187070766672782389419158974119373910718627625424991495039060257573 (184 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1065244626144642363700525551951828056142176075449825587910157 (pp61)
r2=3047646861600832690574014879802280704025041556390878665129249484680926946288066993502829700027545022407733990391061877504889 (pp124)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.39 hours.
Factorization parameters were as follows:
n: 3246489441706871626545523108962868651826433319136934793677292093649451364270378117515355550317689737258624763445141592187070766672782389419158974119373910718627625424991495039060257573
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 31
c0: -220
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: 30991131
Relations: 7970268 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 21.43 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6842698 x 6842923
Matrix solve time: 27.26 hours.
time per square root: 0.36 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: 49.39 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

25848424643411867840441258339626697683210084485727842302556766881801961921278815650934593060039826176673149342618029349880499502086215782116508310404091201373148272089898897792658359287956928101867<197>

3376186327185206976609973427818950595486119999897398996178439655320705777122241961084362682398937980912092656302854460521293691729815644723168058989071683583339215751028882233985345851676001327<193>

17222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<224>

38068710703599409165808851435030079077717139<44>

452398358229501463652512886897198462732745267579973839248318420743329179438989341447979434822511465576177462699985246566994981267622071524369893946301893698587889561225483560934239<180>

Resuming ECM residue saved by @d42cc350bc2b with GMP-ECM 7.0.5-dev on Sat Oct  1 01:38:31 2022 
Input number is 17222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221 (224 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:233785740
Step 1 took 0ms
Step 2 took 40071ms
********** Factor found in step 2: 38068710703599409165808851435030079077717139
Found prime factor of 44 digits: 38068710703599409165808851435030079077717139
Composite cofactor 452398358229501463652512886897198462732745267579973839248318420743329179438989341447979434822511465576177462699985246566994981267622071524369893946301893698587889561225483560934239 has 180 digits

41788754412385746970137145487717817449905735346017396373236103005564460676976913074009635803087297674589892259994746719129080143100094614496089103194991760176025377324706700351191623637601196345321327752925261554101<215>

1990948425209373074703993714074402460534106225989379477159917208294880157907018565474589251458905466345989030747249161328998933930256054979211952369148587290007762175346472948085161478230262435257083893289043502351<214>

134142306640139376452901813976122496331207913392188054013135387753049725341463568723656722740747144954090011910971395407988633040565585505638174234932335591510886340531236420795934674600621572177258586470683891231186649673<222>

48426873107493467591111005827014869450495053084893555980886384459804701376862266922235434506297715838644215973431655284637379740289323088153497890662578742681602800442041246185956606438441656450446948968772106532773993<218>

18256168737012449862439987168853484096676452139464094324420347234162280637569236960259684378610442353096665447496628519869931831058237825479821701149321477191038037750705414576387004621572534126040492550039<206>

6935535122221646719885167804528683161439908105944219817287996234162229508377648832600435871158353242545772262757975492466048327581931048184586810731076807212007974286252433985325569585761120908108844232392039026562359437<220>

17222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<233>

11399885793281800543202175810555464219051<41>
1510736382321623832872085920628277225454313501551546907725484099563433262141131555511058114776284181098034257695226619025878749063195078118184014313508614726241770308279111606609300041900789671<193>

Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Sat Sep  3 04:15:20 2022 
Input number is 17222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221 (233 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2107999406
Step 1 took 0ms
Step 2 took 6071ms
********** Factor found in step 2: 11399885793281800543202175810555464219051
Found prime factor of 41 digits: 11399885793281800543202175810555464219051
Prime cofactor 1510736382321623832872085920628277225454313501551546907725484099563433262141131555511058114776284181098034257695226619025878749063195078118184014313508614726241770308279111606609300041900789671 has 193 digits

65720339154053301119527283781513729973645837034446583682739592130968740126831019214041712889272511337688547457494228861096629489375739257773336292776781450714235387679803961007320452564403056505263<197>

39062437566582676065937303855077984029294037337<47>

1682443371385406226206168780318543575506684142622391059886435211245672836175901709482496757711579473058947296254696086542214000318834791502307246729799<151>

GPU: factor 39062437566582676065937303855077984029294037337 found in Step 1 with curve 903 (-sigma 3:-1710900151)
Computing 1792 Step 1 took 3363ms of CPU time / 2513073ms of GPU time
Throughput: 0.713 curves per second (on average 1402.38ms per Step 1)
********** Factor found in step 1: 39062437566582676065937303855077984029294037337
Found prime factor of 47 digits: 39062437566582676065937303855077984029294037337
Composite cofactor 1682443371385406226206168780318543575506684142622391059886435211245672836175901709482496757711579473058947296254696086542214000318834791502307246729799 has 151 digits
Peak memory usage: 9501MB

1682443371385406226206168780318543575506684142622391059886435211245672836175901709482496757711579473058947296254696086542214000318834791502307246729799<151>

216405060453231843835570065976308994567949317<45>
7774510299628625080147648745796507504789879362594955818901431775901573256034042554010660535340217469270747<106>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3198040871
Step 1 took 82203ms
Step 2 took 28704ms
********** Factor found in step 2: 216405060453231843835570065976308994567949317
Found prime factor of 45 digits: 216405060453231843835570065976308994567949317
Prime cofactor 7774510299628625080147648745796507504789879362594955818901431775901573256034042554010660535340217469270747 has 106 digits

GMP-ECM

2596083286357320525580811787284583053051764972920401161902738468365154716259950917315429849252690254488207591484260199778168582694009292154222483875140506326527598940825184410838221<181>

3973662786401253849935935539586532521829<40>

653322495115007567017581235028625493178236924317882575715408057522252853121797971095171762564155025783368466935085357601971367633549480453449<141>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 21:09:41 2022 
Input number is 2596083286357320525580811787284583053051764972920401161902738468365154716259950917315429849252690254488207591484260199778168582694009292154222483875140506326527598940825184410838221 (181 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1909837732
Step 1 took 0ms
Step 2 took 6035ms
********** Factor found in step 2: 3973662786401253849935935539586532521829
Found prime factor of 40 digits: 3973662786401253849935935539586532521829
Composite cofactor 653322495115007567017581235028625493178236924317882575715408057522252853121797971095171762564155025783368466935085357601971367633549480453449 has 141 digits

653322495115007567017581235028625493178236924317882575715408057522252853121797971095171762564155025783368466935085357601971367633549480453449<141>

482733186142196371806834504744871142569212698603<48>
1353382186826827212129573692869748401445730070836019081310846895436625285161531741588062729883<94>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1912138587
Step 1 took 81079ms
********** Factor found in step 1: 482733186142196371806834504744871142569212698603
Found prime factor of 48 digits: 482733186142196371806834504744871142569212698603
Prime cofactor 1353382186826827212129573692869748401445730070836019081310846895436625285161531741588062729883 has 94 digits

GMP-ECM

20886720585360666235298567309973902211856389435997413985564904605904861301310113178945795911611964931905517530824007372011146875219231103475273518818899064460810882672006278196182344393782015595770815027833099<209>

4412521467342863071383896523963176077544346877<46>

4733511381178221015715949669018197397080614043078715854067746517242939944804813191376957430468210246953627556858908656289373300490493044311016100711363116352952487<163>

Resuming ECM residue saved by @83408573b5fe with GMP-ECM 7.0.5-dev on Tue Apr  9 04:49:39 2024 
Input number is 20886720585360666235298567309973902211856389435997413985564904605904861301310113178945795911611964931905517530824007372011146875219231103475273518818899064460810882672006278196182344393782015595770815027833099 (209 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:582089140
Step 1 took 0ms
Step 2 took 27357ms
********** Factor found in step 2: 4412521467342863071383896523963176077544346877
Found prime factor of 46 digits: 4412521467342863071383896523963176077544346877
Composite cofactor 4733511381178221015715949669018197397080614043078715854067746517242939944804813191376957430468210246953627556858908656289373300490493044311016100711363116352952487 has 163 digits

11632046002206283703761192614157865907992559058356248246890382644440520089111013816056848540146464206904857926982463985965980845598991585627615615123643009828297503728296396464089958326213709924774551681688911<209>

640844092313354918740729117145622909527<39>

18151132454410669777161846924948101407260807721949425300702401819451356226501109053803334327795721092484029908955115726110653800819679638064737391213268330105748220942793<170>

Resuming ECM residue saved by @d42cc350bc2b with GMP-ECM 7.0.5-dev on Sat Oct  1 05:45:55 2022 
Input number is 11632046002206283703761192614157865907992559058356248246890382644440520089111013816056848540146464206904857926982463985965980845598991585627615615123643009828297503728296396464089958326213709924774551681688911 (209 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2226771671
Step 1 took 0ms
Step 2 took 27976ms
********** Factor found in step 2: 640844092313354918740729117145622909527
Found prime factor of 39 digits: 640844092313354918740729117145622909527
Composite cofactor 18151132454410669777161846924948101407260807721949425300702401819451356226501109053803334327795721092484029908955115726110653800819679638064737391213268330105748220942793 has 170 digits

34498772417751530638450996991856943595075248287045642025855428880126633202768676546421602598146924727020767683740747687471454380999072222026432146689785199344769155013396205189547621845872838503161489599<203>

200052131648926304737413560952041071863013<42>
172448911858104103426839089918293896734745762963252514654923273559060073650890285834642934772439358332700873784703165397482872669007779103308498835155478264103123<162>

Resuming ECM residue saved by @84bbd64d39c5 with GMP-ECM 7.0.5-dev on Tue Apr  9 05:47:40 2024 
Input number is 34498772417751530638450996991856943595075248287045642025855428880126633202768676546421602598146924727020767683740747687471454380999072222026432146689785199344769155013396205189547621845872838503161489599 (203 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:3401377008
Step 1 took 0ms
Step 2 took 27314ms
********** Factor found in step 2: 200052131648926304737413560952041071863013
Found prime factor of 42 digits: 200052131648926304737413560952041071863013
Prime cofactor 172448911858104103426839089918293896734745762963252514654923273559060073650890285834642934772439358332700873784703165397482872669007779103308498835155478264103123 has 162 digits

422507400346228443521946597684694085501457615131225437598180360894772473048347074920601561585525565486032171014692099425718338405346505919989069455853815413362361424916553835651550981381713573646963014968838451<210>

45862117367141051701645768842676899190844832722913143546380315066074592112193453214277989004494331873508494256896180691007700343834074748027230786033079872604923408385431347<173>

3694011747696340659636182023088704766172243268697500801947024284871689281902779837822055798606193891047938163237831330222614718791757095934266482442524031627701971534951634980024204968416070532891418810362940386886025201<220>

1722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<244>

39710641185566698358952592614362049210151<41>

43369287697328448917493935097824171972024944531138845683729492854270757619426722173199905469143207423823254451857176819508546721172951829593838590328750218801647372438673682662678237699620684632514326571<203>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 16:19:59 2022 
Input number is 1722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221 (244 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1956471566
Step 1 took 0ms
Step 2 took 4207ms
********** Factor found in step 2: 39710641185566698358952592614362049210151
Found prime factor of 41 digits: 39710641185566698358952592614362049210151
Composite cofactor 43369287697328448917493935097824171972024944531138845683729492854270757619426722173199905469143207423823254451857176819508546721172951829593838590328750218801647372438673682662678237699620684632514326571 has 203 digits

646657182667266213830581166621874183816943416958330958954177942959888518304259438661430979669319291977804205613837933032991527451700893417808789453707224508697720588084059776539391725133550040253992422854955832751206279523524797970007097<237>

5468811570117199063399471671175591349488261273924482749462051092583359425252845455698249310843556432909181723134309394419212138851456832514546217172618092368344432822657089686247380986175902120613577465334946674976641197847949<226>

20032449966018871115593944331352023610961011517660080519641679743226413702585466067472617906178818521867328101149746737095389465765870771781658262626762391829637745735806851491997752172488923966975347192235340919258449566587069303474365427<239>

65360770674514798313788701008052174719949540974091445367954953941246010746037476447666891960679416175315496477638526870071494118347969295957469229888630570138991809250938997132575399058842021431026160284967702476414763781679183<227>

25610183169569941114243836320810740750528250642996054616379802224098477049459292152848655028503453386277349353236534342203761792988226071562381833658269107781779161849704414907300789326648020004126064773128239489863818906455195079753979<236>

156467714404909509155536364021993065174307<42>
163677109152981701944676376297808179467191057785162636982475229396305054762654789564008483255089211337541869811858652867895148375845577232625525290943163880162065337614873883701587467601007066697<195>

Resuming ECM residue saved by @1cc036b131e1 with GMP-ECM 7.0.5-dev on Sat Nov  5 10:46:43 2022 
Input number is 25610183169569941114243836320810740750528250642996054616379802224098477049459292152848655028503453386277349353236534342203761792988226071562381833658269107781779161849704414907300789326648020004126064773128239489863818906455195079753979 (236 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:362715457
Step 1 took 0ms
Step 2 took 13570ms
********** Factor found in step 2: 156467714404909509155536364021993065174307
Found prime factor of 42 digits: 156467714404909509155536364021993065174307
Prime cofactor 163677109152981701944676376297808179467191057785162636982475229396305054762654789564008483255089211337541869811858652867895148375845577232625525290943163880162065337614873883701587467601007066697 has 195 digits

17343294797330533635994889696034551643884177070678964697813033273230937157701955934843324981814445050661995353212341325819233151226284616321933530568646367074655288264699775455370537599052079666597412468398838393726890321<221>

345270668856700519709555791295601407<36>

50231011092716397001694596430074483000962039900416120931932062883727765566549328912538035583328286768023268383456490163908959674880815125821728937900430561248268984437830836220369552303<185>

GPU: factor 345270668856700519709555791295601407 found in Step 1 with curve 1373 (-sigma 3:-1574723577)
Computing 1792 Step 1 took 292ms of CPU time / 175383ms of GPU time
Throughput: 10.218 curves per second (on average 97.87ms per Step 1)
********** Factor found in step 1: 345270668856700519709555791295601407
Found prime factor of 36 digits: 345270668856700519709555791295601407
Composite cofactor 50231011092716397001694596430074483000962039900416120931932062883727765566549328912538035583328286768023268383456490163908959674880815125821728937900430561248268984437830836220369552303 has 185 digits
Peak memory usage: 9428MB

50231011092716397001694596430074483000962039900416120931932062883727765566549328912538035583328286768023268383456490163908959674880815125821728937900430561248268984437830836220369552303<185>

219280418954701591951134812398722886856741<42>
229072031748958831424166217763147222450957765672847020624740958717745446591286659166299525994703278625869745740863690021358623906115253118050883<144>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2429620943
Step 1 took 27946ms
Step 2 took 11922ms
********** Factor found in step 2: 219280418954701591951134812398722886856741
Found prime factor of 42 digits: 219280418954701591951134812398722886856741
Prime cofactor 229072031748958831424166217763147222450957765672847020624740958717745446591286659166299525994703278625869745740863690021358623906115253118050883 has 144 digits

97134123773144559159775686633878193420126647276979734250942530614281770480040172954005245921870610098672519612012998285652338637232055736556879807437136891467746983968803041672590884708987831809221318034441626221924176378174118479577962168713213<245>

1217952238828018779094816324551740536255727223959179269918567713311958664429720580540470627745942077806089274013244562687962443696228881985064133828906312677884871139474468538682831014470136950478612012199323934356617515614737033503665918372526643491<250>

44809297641519680347414861137798088309583455188713205828557943434636542365123882858984118509847864471165162583370184938103200922092328305535684882633012813625168359910640042690880054009013694301280927297683785408899<215>

44663164485139608773240462213365475663116818786974078628631113081636288353186336841184238735638917573270386329606813722535401676976202703076251070348664146049895064431211928155356625925485126567101173860128867664069851825917367798310956500728273<245>

503997284618509402605681338604310916425885551445270805907551893016870332311154686019514835042593540780077726541261018594210834266255765644959962574599113956700308991611887666976623798799203386435141580157881196461546091070923<225>

213395900727638856463086087761346626440801<42>
2361794593523005293793847672498596664990296237018915718605725898613794960273776961088321673640746470273673987161582732035394488945361707991896031780718286367056210181238590508836932523<184>

Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Sat Sep  3 06:03:07 2022 
Input number is 503997284618509402605681338604310916425885551445270805907551893016870332311154686019514835042593540780077726541261018594210834266255765644959962574599113956700308991611887666976623798799203386435141580157881196461546091070923 (225 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3621579823
Step 1 took 0ms
Step 2 took 5560ms
********** Factor found in step 2: 213395900727638856463086087761346626440801
Found prime factor of 42 digits: 213395900727638856463086087761346626440801
Prime cofactor 2361794593523005293793847672498596664990296237018915718605725898613794960273776961088321673640746470273673987161582732035394488945361707991896031780718286367056210181238590508836932523 has 184 digits

297232183218130953537836798245892066314845268409492619860080392768495413527370477008847429866746732337590697557617928254174909168599269678822893049416696800977523966554579556749816763421135457010813<198>

1496929628172355488221134847130806894235005358241053188571924122812579284223737748585047437798732616097353893607993113467032983495098857550998076564911843754718942120293665766050556504327935549398770721435402520139204553452913<226>

1722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<262>

17695070259504551370144245647527030393552596729148731248567853222984126443014551811906975439542105928020638509035288746461451125266471561460276508317699591184678835093897705827943075026220247136405815776022392096538190308858094417216813503133<242>

4448837206344672233066725929102483472447<40>
3977459600964691151602245637847459747446632742823725957685613017386153133441517979752708450404545215818390404903132726012152567224269968760048632946608337831764204092423856541539079587144069819968239139<202>

Resuming ECM residue saved by @d386a11af058 with GMP-ECM 7.0.5-dev on Sat Sep 24 13:44:41 2022 
Input number is 17695070259504551370144245647527030393552596729148731248567853222984126443014551811906975439542105928020638509035288746461451125266471561460276508317699591184678835093897705827943075026220247136405815776022392096538190308858094417216813503133 (242 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2672719657
Step 1 took 0ms
Step 2 took 28541ms
********** Factor found in step 2: 4448837206344672233066725929102483472447
Found prime factor of 40 digits: 4448837206344672233066725929102483472447
Prime cofactor 3977459600964691151602245637847459747446632742823725957685613017386153133441517979752708450404545215818390404903132726012152567224269968760048632946608337831764204092423856541539079587144069819968239139 has 202 digits

4798637325682825045153691813410506727831776577318092109419815963122544301644282614308674702663520618724699228853486354323420880007667651755783617783876563686771357418178652687591043825079805670996719293902603<208>

530150438457353169419602040984184704709050166236828482779904761538055766472953626858457372788185823412669737986079777758149263280064141606324910360688842123456235912655239352063<177>

11225800267078873974581241341347233095681421875792158642697921677714296984920213478043837069956074114059940352664521716717548632802046520583435373105752576044266185762586848687088221722949290283230531204029<206>

286346145244283276401034693439487307250439<42>
39203601841757253864741714347757766841362393438943368407314196156496023088950480927362504565230755712055639819576979110568421953954264576558526761730157558780982811<164>

Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Sat Sep  3 05:14:21 2022 
Input number is 11225800267078873974581241341347233095681421875792158642697921677714296984920213478043837069956074114059940352664521716717548632802046520583435373105752576044266185762586848687088221722949290283230531204029 (206 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3572366661
Step 1 took 0ms
Step 2 took 5048ms
********** Factor found in step 2: 286346145244283276401034693439487307250439
Found prime factor of 42 digits: 286346145244283276401034693439487307250439
Prime cofactor 39203601841757253864741714347757766841362393438943368407314196156496023088950480927362504565230755712055639819576979110568421953954264576558526761730157558780982811 has 164 digits