17425995135551996203357655573352316545055466571750608056000474580293053330960431868066678531173993<98>

306563823932620365698839741864087657678367<42>
56842959850938100415623076902674814722255167686623849079<56>

N=17425995135551996203357655573352316545055466571750608056000474580293053330960431868066678531173993
  ( 98 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=306563823932620365698839741864087657678367 (pp42)
 r2=56842959850938100415623076902674814722255167686623849079 (pp56)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.18 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 17425995135551996203357655573352316545055466571750608056000474580293053330960431868066678531173993
m: 10000000000000000000000000
deg: 4
c4: 235
c0: 8
skew: 0.43
# Murphy_E = 2.822e-07
type: snfs
lss: 1
rlim: 360000
alim: 360000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [180000, 260001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 28598 x 28823
Total sieving time: 0.17 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102.000,4,0,0,0,0,0,0,0,0,360000,360000,25,25,43,43,2.2,2.2,10000
total time: 0.18 hours.
 --------- CPU info (if available) ----------

16721951601842480016287289019200681070202648256528310958271961138136659652219258545910765938379308348283<104>

1112005270982074080812692193385416315949499534968841<52>
15037654980784748280423801286449664836143698543499363<53>

N=16721951601842480016287289019200681070202648256528310958271961138136659652219258545910765938379308348283
  ( 104 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=1112005270982074080812692193385416315949499534968841 (pp52)
 r2=15037654980784748280423801286449664836143698543499363 (pp53)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16721951601842480016287289019200681070202648256528310958271961138136659652219258545910765938379308348283
m: 10000000000000000000000000000
deg: 4
c4: 47
c0: 16
skew: 0.76
# Murphy_E = 8.476e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 50352 x 50577
Total sieving time: 0.35 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 0.36 hours.
 --------- CPU info (if available) ----------

53021541041172675121847111289877185144055510909161763099177031678507121338970890424898114257982440384700114947091<113>

1546469874087683308911761069338089159211820461<46>
34285531150389811151784308611814358874639019819289077391115752304831<68>

Number: 1
N=53021541041172675121847111289877185144055510909161763099177031678507121338970890424898114257982440384700114947091
  ( 113 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=1546469874087683308911761069338089159211820461 (pp46)
 r2=34285531150389811151784308611814358874639019819289077391115752304831 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.79 hours.
Scaled time: 6.16 units (timescale=7.806).
Factorization parameters were as follows:
n: 53021541041172675121847111289877185144055510909161763099177031678507121338970890424898114257982440384700114947091
m: 1000000000000000000000000000000
deg: 4
c4: 47
c0: 16
skew: 0.76
# Murphy_E = 3.567e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82614 x 82842
Total sieving time: 0.78 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,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
total time: 0.79 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

170884235020360674810936591041303083187899941826643397324025596276905177428737638161721931355439208842350203606748109365910413030831879<135>

11514888874217566225519032509689009063037282377033360789<56>
14840285207005283859487337107361854767528443849997208744798232161266074412288811<80>

Number: n
N=170884235020360674810936591041303083187899941826643397324025596276905177428737638161721931355439208842350203606748109365910413030831879  ( 135 digits)
SNFS difficulty: 138 digits.
Divisors found:

Sat Sep 10 21:24:22 2022  p56 factor: 11514888874217566225519032509689009063037282377033360789
Sat Sep 10 21:24:22 2022  p80 factor: 14840285207005283859487337107361854767528443849997208744798232161266074412288811
Sat Sep 10 21:24:22 2022  elapsed time 00:03:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 47x10^137+16 = 52(136)4
#
n: 170884235020360674810936591041303083187899941826643397324025596276905177428737638161721931355439208842350203606748109365910413030831879
m: 10000000000000000000000000000000000
deg: 4
c4: 235
c0: 8
skew: 0.43
# Murphy_E = 5.607e-09
type: snfs
lss: 1
rlim: 1420000
alim: 1420000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1420000/1420000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6310000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 368370 hash collisions in 6154044 relations (6484527 unique)
Msieve: matrix is 188478 x 188703 (62.8 MB)

Sieving start time : 2022/09/10 21:09:30
Sieving end time  : 2022/09/10 21:21:06

Total sieving time: 0hrs 11min 36secs.

Total relation processing time: 0hrs 1min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 12sec.

Prototype def-par.txt line would be:
snfs,138,4,0,0,0,0,0,0,0,0,1420000,1420000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1010104764480207453857384772781635114208851331806646895447466792583157663093238621848334926581623345503150256305586067<118>

406835022081073390868806452268237445134868849094576952577<57>
2482836308716105309482376280787581572910820683318566940340371<61>

Number: n
N=1010104764480207453857384772781635114208851331806646895447466792583157663093238621848334926581623345503150256305586067  ( 118 digits)
SNFS difficulty: 144 digits.
Divisors found:

Sat Sep 10 20:29:39 2022  p57 factor: 406835022081073390868806452268237445134868849094576952577
Sat Sep 10 20:29:39 2022  p61 factor: 2482836308716105309482376280787581572910820683318566940340371
Sat Sep 10 20:29:39 2022  elapsed time 00:04:34 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 47x10^143+16 = 52(142)4
#
n: 1010104764480207453857384772781635114208851331806646895447466792583157663093238621848334926581623345503150256305586067
m: 500000000000000000000000000000000000
deg: 4
c4: 47
c0: 10
skew: 0.68
# Murphy_E = 2.225e-09
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6495000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 431332 hash collisions in 5878962 relations (6113086 unique)
Msieve: matrix is 306329 x 306555 (103.9 MB)

Sieving start time : 2022/09/10 20:02:59
Sieving end time  : 2022/09/10 20:24:53

Total sieving time: 0hrs 21min 54secs.

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

Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6093022931469000074803402267393433185418170361617667872398915021762809055639537249780449539432977896099291441<109>

28250056878728982527968482182459982515384131<44>
215681793407530137426876051933842196591401774683940732837390886011<66>

Number: 1
N=6093022931469000074803402267393433185418170361617667872398915021762809055639537249780449539432977896099291441
  ( 109 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=28250056878728982527968482182459982515384131 (pp44)
 r2=215681793407530137426876051933842196591401774683940732837390886011 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.97 hours.
Scaled time: 62.04 units (timescale=7.788).
Factorization parameters were as follows:
n: 6093022931469000074803402267393433185418170361617667872398915021762809055639537249780449539432977896099291441
m: 1000000000000000000000000000000000000
deg: 4
c4: 47
c0: 16
skew: 0.76
# Murphy_E = 2.362e-09
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1870000/1870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [935000, 1735001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 261789 x 262016
Total sieving time: 7.91 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,145.000,4,0,0,0,0,0,0,0,0,1870000,1870000,26,26,49,49,2.3,2.3,100000
total time: 7.97 hours.
 --------- CPU info (if available) ----------

GMP-ECM

123928345753987672248923882935737476872521632869228744012079008446936044242260635943803283045549229597927669916691503390449<123>

13998402810409702461231831890938827368104947825319<50>
8853034694917495529980779646622991021319831934111495756451740005097391271<73>

Number: 1
N=123928345753987672248923882935737476872521632869228744012079008446936044242260635943803283045549229597927669916691503390449
  ( 123 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=13998402810409702461231831890938827368104947825319 (pp50)
 r2=8853034694917495529980779646622991021319831934111495756451740005097391271 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.58 hours.
Scaled time: 42.89 units (timescale=7.680).
Factorization parameters were as follows:
n: 123928345753987672248923882935737476872521632869228744012079008446936044242260635943803283045549229597927669916691503390449
m: 100000000000000000000000000000
deg: 5
c5: 235
c0: 8
skew: 0.51
# Murphy_E = 1.808e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 301599 x 301824
Total sieving time: 5.53 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 5.58 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

213558743414887287302974340622813844037402529001136681092747266741033125394453230399952967124786679637<102>

104240774326915077691261089841208107<36>
2048706418326616314160746020864758441622373061868194595831859281791<67>

213558743414887287302974340622813844037402529001136681092747266741033125394453230399952967124786679637=104240774326915077691261089841208107*2048706418326616314160746020864758441622373061868194595831859281791

cado polynomial
n: 213558743414887287302974340622813844037402529001136681092747266741033125394453230399952967124786679637
skew: 326857.405
c0: -5975742615104424264477567
c1: -4801027553211709463192
c2: -4826094430953247
c3: -2254695362
c4: 55320
Y0: -1401712308763245822455222
Y1: 28716079088717
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.233e-06
# f(x) = 55320*x^4-2254695362*x^3-4826094430953247*x^2-4801027553211709463192*x-5975742615104424264477567
# g(x) = 28716079088717*x-1401712308763245822455222

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

cado log (extracts)
Info:Square Root: Factors: 104240774326915077691261089841208107 2048706418326616314160746020864758441622373061868194595831859281791
Info:Square Root: Total cpu/real time for sqrt: 44.63/13.542
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.67/18.8866
Info:Filtering - Merging: Merged matrix has 206167 rows and total weight 35108790 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.26/11.9264
Info:Filtering - Merging: Total cpu/real time for replay: 6.97/5.75634
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2484809
Info:Lattice Sieving: Average J: 997.73 for 114411 special-q, max bucket fill -bkmult 1.0,1s:1.349230
Info:Lattice Sieving: Total time: 3991.47s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 63.3
Info:Polynomial Selection (root optimized): Rootsieve time: 62.92
Info:Linear Algebra: Total cpu/real time for bwc: 551.67/143.85
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 324.97, WCT time 83.29, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Linear Algebra: Lingen CPU time 27.91, WCT time 7.11
Info:Linear Algebra: Mksol: CPU time 181.57,  WCT time 46.65, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5813/33.200/38.693/39.510/0.678
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3267/33.150/37.195/39.490/1.009
Info:Polynomial Selection (size optimized): Total time: 103.28
Info:Generate Free Relations: Total cpu/real time for freerel: 24.38/6.713
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 27.23/27.7452
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 20.299999999999997s
Info:Square Root: Total cpu/real time for sqrt: 44.63/13.542
Info:Generate Factor Base: Total cpu/real time for makefb: 0.76/0.217774
Info:Quadratic Characters: Total cpu/real time for characters: 6.75/2.70029
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.75/9.28929
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.899999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8126.66/2311.67
Info:root: Cleaning up computation data in /tmp/cado.nqjfa6g6
104240774326915077691261089841208107 2048706418326616314160746020864758441622373061868194595831859281791

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)

87435334346318418504963780326574496934579262318713905512069809491432272291571085873969114204564576778979076978276302280788023410333887<134>

11398300733253881725971308785291233226649<41>
7670909584902502040325739954379395576793936807302214699096799856253246203231833705433404695063<94>

Number: 1
N=87435334346318418504963780326574496934579262318713905512069809491432272291571085873969114204564576778979076978276302280788023410333887
  ( 134 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=11398300733253881725971308785291233226649 (pp41)
 r2=7670909584902502040325739954379395576793936807302214699096799856253246203231833705433404695063 (pp94)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.45 hours.
Scaled time: 57.84 units (timescale=7.764).
Factorization parameters were as follows:
n: 87435334346318418504963780326574496934579262318713905512069809491432272291571085873969114204564576778979076978276302280788023410333887
m: 500000000000000000000000000000
deg: 5
c5: 47
c0: 5
skew: 0.64
# Murphy_E = 1.466e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 391746 x 391971
Total sieving time: 7.38 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 7.45 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

2930926932072439578429022635190528169436296370916048921683366051369325880901421<79>

318430288715264791463164406952832576109<39>
9204296940148262677100720044380450271169<40>

P39 = 318430288715264791463164406952832576109
P40 = 9204296940148262677100720044380450271169

113253199946191886969859554419445456618187456569272566940921043163484939502773113900666737622146187224716264985801855826112650781<129>

35151164246953147718149198076386379<35>
3221890437270751599658074538090167121826937367370425411633895421420754797112980106285668458039<94>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 113253199946191886969859554419445456618187456569272566940921043163484939502773113900666737622146187224716264985801855826112650781 (129 digits)
Using B1=15370000, B2=46847878360, polynomial Dickson(12), sigma=1:2690842405
Step 1 took 23357ms
Step 2 took 10692ms
********** Factor found in step 2: 35151164246953147718149198076386379
Found prime factor of 35 digits: 35151164246953147718149198076386379
Prime cofactor 3221890437270751599658074538090167121826937367370425411633895421420754797112980106285668458039 has 94 digits

226157301921012692266686559031501404446509862098656597551778362934515529231049822329472848469202437140384319101271037111841847<126>

1299315884089485197168210422002750377<37>
174058752525368965995109141139521507804335862486327736945376166110784528090304844250150111<90>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 226157301921012692266686559031501404446509862098656597551778362934515529231049822329472848469202437140384319101271037111841847 (126 digits)
Using B1=15070000, B2=46847553490, polynomial Dickson(12), sigma=1:3386175136
Step 1 took 21208ms
Step 2 took 9823ms
********** Factor found in step 2: 1299315884089485197168210422002750377
Found prime factor of 37 digits: 1299315884089485197168210422002750377
Prime cofactor 174058752525368965995109141139521507804335862486327736945376166110784528090304844250150111 has 90 digits

349397477995360165634696385884466066337926638064792860659694624653553369556032988921623537166873932818928183205705838874566209055169640539957899049069<150>

54777281973945554034222534496188259206811<41>
6378510678232423570100423009682380132086308298937719564263743424462175042054779893105687946172229394735901079<109>

Number: n
N=349397477995360165634696385884466066337926638064792860659694624653553369556032988921623537166873932818928183205705838874566209055169640539957899049069  ( 150 digits)
SNFS difficulty: 158 digits.
Divisors found:

Mon Sep 12 10:09:28 2022  p41 factor: 54777281973945554034222534496188259206811
Mon Sep 12 10:09:28 2022  p109 factor: 6378510678232423570100423009682380132086308298937719564263743424462175042054779893105687946172229394735901079
Mon Sep 12 10:09:28 2022  elapsed time 00:07:04 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 47x10^158+16 = 52(157)4
#
n: 349397477995360165634696385884466066337926638064792860659694624653553369556032988921623537166873932818928183205705838874566209055169640539957899049069
m: 10000000000000000000000000000000
deg: 5
c5: 5875
c0: 2
skew: 0.20
# Murphy_E = 5.78e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1498062 hash collisions in 13722662 relations (13047820 unique)
Msieve: matrix is 425514 x 425741 (144.0 MB)

Sieving start time : 2022/09/12 09:34:25
Sieving end time  : 2022/09/12 10:02:06

Total sieving time: 0hrs 27min 41secs.

Total relation processing time: 0hrs 2min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

15323422013562858633281168492436098069900886802295252999478351591027647365675534689619196661450182576943140323422013562858633281168492436098069900886802295253<158>

36761384705329414399456703454142360007<38>
416834733957705722655579605909288713800292366580736157989475171807924648264525765666350573627396239555610586101057122179<120>

Number: n
N=15323422013562858633281168492436098069900886802295252999478351591027647365675534689619196661450182576943140323422013562858633281168492436098069900886802295253  ( 158 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sun Sep 11 21:18:12 2022  p38 factor: 36761384705329414399456703454142360007
Sun Sep 11 21:18:12 2022  p120 factor: 416834733957705722655579605909288713800292366580736157989475171807924648264525765666350573627396239555610586101057122179
Sun Sep 11 21:18:12 2022  elapsed time 00:07:14 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 47x10^160+16 = 52(159)4
#
n: 15323422013562858633281168492436098069900886802295252999478351591027647365675534689619196661450182576943140323422013562858633281168492436098069900886802295253
m: 100000000000000000000000000000000
deg: 5
c5: 47
c0: 16
skew: 0.81
# Murphy_E = 6.004e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1714407 hash collisions in 18530221 relations (17618466 unique)
Msieve: matrix is 393042 x 393267 (132.0 MB)

Sieving start time : 2022/09/11 20:40:39
Sieving end time  : 2022/09/11 21:10:37

Total sieving time: 0hrs 29min 58secs.

Total relation processing time: 0hrs 2min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 36sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

846982473180054625511002420146056103602716880788956787741665432557679325318662500842780058954981353169603839328355392264339057838388723197315152933<147>

5237749877845384298367081015069680898003715934228656906181138231<64>
161707315723994011535127318823680342813109692797107667235876970079702611790119239043<84>

Number: n
N=846982473180054625511002420146056103602716880788956787741665432557679325318662500842780058954981353169603839328355392264339057838388723197315152933  ( 147 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon Sep 12 14:24:39 2022  p64 factor: 5237749877845384298367081015069680898003715934228656906181138231
Mon Sep 12 14:24:39 2022  p84 factor: 161707315723994011535127318823680342813109692797107667235876970079702611790119239043
Mon Sep 12 14:24:39 2022  elapsed time 00:07:36 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 47x10^161+16 = 52(160)4
#
n: 846982473180054625511002420146056103602716880788956787741665432557679325318662500842780058954981353169603839328355392264339057838388723197315152933
m: 100000000000000000000000000000000
deg: 5
c5: 235
c0: 8
skew: 0.51
# Murphy_E = 4.818e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1083299 hash collisions in 12641507 relations (12376245 unique)
Msieve: matrix is 488927 x 489152 (167.4 MB)

Sieving start time : 2022/09/12 13:28:44
Sieving end time  : 2022/09/12 14:16:32

Total sieving time: 0hrs 47min 48secs.

Total relation processing time: 0hrs 3min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9356819658934733455843116232118472965212718916553309699680222882186023831160208384374348363862242877854927434637319164796399975460462231846054127293<148>

1958856528990794451241908056412712493982018246191611<52>
4776674309963568222154880976054648676507126732584636831355880055154061756139080630929061709597863<97>

Number: n
N=9356819658934733455843116232118472965212718916553309699680222882186023831160208384374348363862242877854927434637319164796399975460462231846054127293  ( 148 digits)
SNFS difficulty: 163 digits.
Divisors found:

Mon Sep 12 12:35:17 2022  p52 factor: 1958856528990794451241908056412712493982018246191611
Mon Sep 12 12:35:17 2022  p97 factor: 4776674309963568222154880976054648676507126732584636831355880055154061756139080630929061709597863
Mon Sep 12 12:35:17 2022  elapsed time 00:09:01 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 47x10^162+16 = 52(161)4
#
n: 9356819658934733455843116232118472965212718916553309699680222882186023831160208384374348363862242877854927434637319164796399975460462231846054127293
m: 100000000000000000000000000000000
deg: 5
c5: 1175
c0: 4
skew: 0.32
# Murphy_E = 4.207e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1341236 hash collisions in 12931993 relations (12376540 unique)
Msieve: matrix is 479401 x 479626 (163.3 MB)

Sieving start time : 2022/09/12 11:46:14
Sieving end time  : 2022/09/12 12:25:47

Total sieving time: 0hrs 39min 33secs.

Total relation processing time: 0hrs 3min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 30sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

475267538411688730648663095469979570210266286860354812821198948156490205775554674429763490855359091685183494446197473815913601004981726023820522280437035157<156>

2677565016399261421778983423099393229092121625773067574010734270243<67>
177499905884944481908111550719171771383952669548243506228659637896406917086370092464877799<90>

Number: n
N=475267538411688730648663095469979570210266286860354812821198948156490205775554674429763490855359091685183494446197473815913601004981726023820522280437035157  ( 156 digits)
SNFS difficulty: 163 digits.
Divisors found:

Sun Sep 11 23:15:09 2022  p67 factor: 2677565016399261421778983423099393229092121625773067574010734270243
Sun Sep 11 23:15:09 2022  p90 factor: 177499905884944481908111550719171771383952669548243506228659637896406917086370092464877799
Sun Sep 11 23:15:09 2022  elapsed time 00:07:59 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 47x10^163+16 = 52(162)4
#
n: 475267538411688730648663095469979570210266286860354812821198948156490205775554674429763490855359091685183494446197473815913601004981726023820522280437035157
m: 100000000000000000000000000000000
deg: 5
c5: 5875
c0: 2
skew: 0.20
# Murphy_E = 3.697e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1366656 hash collisions in 12761935 relations (12156785 unique)
Msieve: matrix is 494577 x 494803 (171.5 MB)

Sieving start time : 2022/09/11 22:09:58
Sieving end time  : 2022/09/11 23:06:32

Total sieving time: 0hrs 56min 34secs.

Total relation processing time: 0hrs 3min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 10sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6410915758777329351952771487441796250643301295777566823184673635937723393133700799386088524500075697910840235461641695958822780835048021414619249329450948223<157>

14376899732288296346409824378874873763057<41>
916380213412917838811566477430922705181708746688608907<54>
486607863757273063183863980296299189191898590615469485687621677<63>

Number: n
N=6410915758777329351952771487441796250643301295777566823184673635937723393133700799386088524500075697910840235461641695958822780835048021414619249329450948223  ( 157 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sun Sep 11 22:06:17 2022  found factor: 486607863757273063183863980296299189191898590615469485687621677
Sun Sep 11 22:06:43 2022  p41 factor: 14376899732288296346409824378874873763057
Sun Sep 11 22:06:43 2022  p54 factor: 916380213412917838811566477430922705181708746688608907
Sun Sep 11 22:06:43 2022  p63 factor: 486607863757273063183863980296299189191898590615469485687621677
Sun Sep 11 22:06:43 2022  elapsed time 00:09:26 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 47x10^164+16 = 52(163)4
#
n: 6410915758777329351952771487441796250643301295777566823184673635937723393133700799386088524500075697910840235461641695958822780835048021414619249329450948223
m: 500000000000000000000000000000000
deg: 5
c5: 47
c0: 5
skew: 0.64
# Murphy_E = 3.868e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1754260 hash collisions in 14994604 relations (14132949 unique)
Msieve: matrix is 498651 x 498880 (169.1 MB)

Sieving start time : 2022/09/11 21:20:21
Sieving end time  : 2022/09/11 21:56:59

Total sieving time: 0hrs 36min 38secs.

Total relation processing time: 0hrs 3min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1015191024736757943312493491977537166273014466930018450384080892356193914583848920775045384654756082687663201677140500467920983129304993139727851391654960434161<160>

1113538020975372360771809336097051191221218703855694152183657<61>
911680612259229255830277364806068222313909010119987280258871141869538749911294437507179345720569673<99>

Number: n
N=1015191024736757943312493491977537166273014466930018450384080892356193914583848920775045384654756082687663201677140500467920983129304993139727851391654960434161  ( 160 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Sep 11 18:23:46 2022  p61 factor: 1113538020975372360771809336097051191221218703855694152183657
Sun Sep 11 18:23:46 2022  p99 factor: 911680612259229255830277364806068222313909010119987280258871141869538749911294437507179345720569673
Sun Sep 11 18:23:46 2022  elapsed time 00:09:09 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 47x10^166+16 = 52(165)4
#
n: 1015191024736757943312493491977537166273014466930018450384080892356193914583848920775045384654756082687663201677140500467920983129304993139727851391654960434161
m: 1000000000000000000000000000000000
deg: 5
c5: 235
c0: 8
skew: 0.51
# Murphy_E = 3.07e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1484408 hash collisions in 13440421 relations (12754680 unique)
Msieve: matrix is 544792 x 545017 (188.1 MB)

Sieving start time : 2022/09/11 17:32:46
Sieving end time  : 2022/09/11 18:14:20

Total sieving time: 0hrs 41min 34secs.

Total relation processing time: 0hrs 4min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 33sec.

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

24463430564955758874770470561477995945774547189187221986124092344266217422309765909745223051938507221896181947628854406069962163504992080510878044364629118985879<161>

361777302628529666983040839018323899<36>
67620136440882897170355255721662715810975828617909874193911683849111490720683316228464730102710807112552601210323877428216021<125>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 24463430564955758874770470561477995945774547189187221986124092344266217422309765909745223051938507221896181947628854406069962163504992080510878044364629118985879 (161 digits)
Using B1=15140000, B2=46847553490, polynomial Dickson(12), sigma=1:3030782769
Step 1 took 35244ms
Step 2 took 13549ms
********** Factor found in step 2: 361777302628529666983040839018323899
Found prime factor of 36 digits: 361777302628529666983040839018323899
Prime cofactor 67620136440882897170355255721662715810975828617909874193911683849111490720683316228464730102710807112552601210323877428216021 has 125 digits

49274714002440975746624149679777519785490990338635416444115887774753694224502911617764823509254225747224349297308570403832294008103160706801<140>

2825164286633294432401309426630427<34>
17441362343271338550800495001279679770198609125197144919157520662016438692516575866454953711202221048833763<107>

Number: n
N=49274714002440975746624149679777519785490990338635416444115887774753694224502911617764823509254225747224349297308570403832294008103160706801  ( 140 digits)
SNFS difficulty: 170 digits.
Divisors found:

Thu Sep 15 03:41:02 2022  p34 factor: 2825164286633294432401309426630427
Thu Sep 15 03:41:02 2022  p107 factor: 17441362343271338550800495001279679770198609125197144919157520662016438692516575866454953711202221048833763
Thu Sep 15 03:41:02 2022  elapsed time 00:10:59 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 47x10^169+16 = 52(168)4
#
n: 49274714002440975746624149679777519785490990338635416444115887774753694224502911617764823509254225747224349297308570403832294008103160706801
m: 5000000000000000000000000000000000
deg: 5
c5: 47
c0: 5
skew: 0.64
# Murphy_E = 2.457e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1488931 hash collisions in 13315133 relations (12612038 unique)
Msieve: matrix is 672421 x 672649 (232.4 MB)

Sieving start time : 2022/09/15 02:51:00
Sieving end time  : 2022/09/15 03:29:46

Total sieving time: 0hrs 38min 46secs.

Total relation processing time: 0hrs 6min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 23sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

32638888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<170>

232934405494865453679237949994111698203330684127<48>
531660037030207133904250859257590662330675996137324537<54>
263552844615381963137703903735926788296812583615654509304802032537311<69>

Number: n
N=32638888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 170 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue Sep 13 05:32:50 2022  found factor: 232934405494865453679237949994111698203330684127
Tue Sep 13 05:33:30 2022  p48 factor: 232934405494865453679237949994111698203330684127
Tue Sep 13 05:33:30 2022  p54 factor: 531660037030207133904250859257590662330675996137324537
Tue Sep 13 05:33:30 2022  p69 factor: 263552844615381963137703903735926788296812583615654509304802032537311
Tue Sep 13 05:33:30 2022  elapsed time 00:10:14 (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 = 47x10^170+16 = 52(169)4
#
n: 32638888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 10000000000000000000000000000000000
deg: 5
c5: 47
c0: 16
skew: 0.81
# Murphy_E = 2.428e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1394765 hash collisions in 13264504 relations (12674208 unique)
Msieve: matrix is 652880 x 653106 (227.3 MB)

Sieving start time : 2022/09/13 04:51:49
Sieving end time  : 2022/09/13 05:22:54

Total sieving time: 0hrs 31min 5secs.

Total relation processing time: 0hrs 5min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 20sec.

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

22484119227199465835342302546504962030128001660313508714607682337596876413790783183916483341098498265033483813638752798518406622360749<134>

1263084316156269621703997648524902774341<40>
17800964622553127979628621996927334169265572141463773514706555906149277094730705274764085788489<95>

Number: n
N=22484119227199465835342302546504962030128001660313508714607682337596876413790783183916483341098498265033483813638752798518406622360749  ( 134 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Sep 19 18:28:05 2022  p40 factor: 1263084316156269621703997648524902774341
Mon Sep 19 18:28:05 2022  p95 factor: 17800964622553127979628621996927334169265572141463773514706555906149277094730705274764085788489
Mon Sep 19 18:28:05 2022  elapsed time 00:14:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:
#
# N = 47x10^173+16 = 52(172)4
#
n: 22484119227199465835342302546504962030128001660313508714607682337596876413790783183916483341098498265033483813638752798518406622360749
m: 10000000000000000000000000000000000
deg: 5
c5: 5875
c0: 2
skew: 0.20
# Murphy_E = 1.491e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1632346 hash collisions in 13043475 relations (12129874 unique)
Msieve: matrix is 810444 x 810671 (281.4 MB)

Sieving start time : 2022/09/19 17:16:22
Sieving end time  : 2022/09/19 18:13:46

Total sieving time: 0hrs 57min 24secs.

Total relation processing time: 0hrs 9min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 1sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

10577296954625430744717968485445090556041334444331414663217251578489278516212167864767115884126329843851074271594750022601<122>

374510801405118228176868529363019386815199301984799839<54>
28242969001002695205518342282760257144978742082834694129707050143959<68>

10577296954625430744717968485445090556041334444331414663217251578489278516212167864767115884126329843851074271594750022601=374510801405118228176868529363019386815199301984799839*28242969001002695205518342282760257144978742082834694129707050143959

cado polynomial
n: 10577296954625430744717968485445090556041334444331414663217251578489278516212167864767115884126329843851074271594750022601
skew: 84532.3
c0: 19668393680255070897734465592
c1: 1525249786201107259771106
c2: -13779655863647110589
c3: 160489453886931
c4: 2044065304
c5: -12480
Y0: -370552494462491515798850
Y1: 65807354452398551
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.288e-06
# f(x) = -12480*x^5+2044065304*x^4+160489453886931*x^3-13779655863647110589*x^2+1525249786201107259771106*x+19668393680255070897734465592
# g(x) = 65807354452398551*x-370552494462491515798850

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

cado log (extracts)
Info:Square Root: Factors: 28242969001002695205518342282760257144978742082834694129707050143959 374510801405118228176868529363019386815199301984799839
Info:Square Root: Total cpu/real time for sqrt: 211.22/63.6547
Info:Filtering - Merging: Merged matrix has 749262 rows and total weight 75251396 (100.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.53/17.6776
Info:Filtering - Merging: Total cpu/real time for replay: 17.87/14.2856
Info:Generate Factor Base: Total cpu/real time for makefb: 5.11/1.43915
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13772842
Info:Lattice Sieving: Average J: 1907.86 for 296767 special-q, max bucket fill -bkmult 1.0,1s:1.267650
Info:Lattice Sieving: Total time: 35791.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1712.39
Info:Polynomial Selection (root optimized): Rootsieve time: 1709.99
Info:Linear Algebra: Total cpu/real time for bwc: 5333.4/1385.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3249.91, WCT time 841.93, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23552 iterations)
Info:Linear Algebra: Lingen CPU time 131.25, WCT time 33.4
Info:Linear Algebra: Mksol: CPU time 1876.88,  WCT time 483.98, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20272/34.450/43.304/51.110/1.049
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16378/34.640/38.347/43.790/0.869
Info:Polynomial Selection (size optimized): Total time: 2254.82
Info:Generate Free Relations: Total cpu/real time for freerel: 126.42/32.2557
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 164.27/153.112
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 130.29999999999998s
Info:Quadratic Characters: Total cpu/real time for characters: 23.47/9.12955
Info:Square Root: Total cpu/real time for sqrt: 211.22/63.6547
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86/98.8829
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.22/58.8137
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 76299.7/20800.8
Info:root: Cleaning up computation data in /tmp/cado.b1p5lckg
28242969001002695205518342282760257144978742082834694129707050143959 374510801405118228176868529363019386815199301984799839

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)

4407744804314814564832407701050926084079229477061200521637691509614078456840810313684988227105220742840300669511329756332933054050053025558667242842408352640942171497<166>

127252275141903099082604536409980994892407814236908374691631<60>
34637846744976439644571737211700066255926091774261636999625920950507346151832111354629065572990026852691687<107>

Number: n
N=4407744804314814564832407701050926084079229477061200521637691509614078456840810313684988227105220742840300669511329756332933054050053025558667242842408352640942171497  ( 166 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sat Sep 24 05:51:01 2022  p60 factor: 127252275141903099082604536409980994892407814236908374691631
Sat Sep 24 05:51:01 2022  p107 factor: 34637846744976439644571737211700066255926091774261636999625920950507346151832111354629065572990026852691687
Sat Sep 24 05:51:01 2022  elapsed time 00:19:44 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 47x10^180+16 = 52(179)4
#
n: 4407744804314814564832407701050926084079229477061200521637691509614078456840810313684988227105220742840300669511329756332933054050053025558667242842408352640942171497
m: 1000000000000000000000000000000000000
deg: 5
c5: 47
c0: 16
skew: 0.81
# Murphy_E = 9.638e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2913578 hash collisions in 29292116 relations (28224936 unique)
Msieve: matrix is 807530 x 807756 (276.3 MB)

Sieving start time : 2022/09/24 03:18:29
Sieving end time  : 2022/09/24 05:30:46

Total sieving time: 2hrs 12min 17secs.

Total relation processing time: 0hrs 9min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 53sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

326388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<183>

30852821117301416124271652513664754864103143<44>
10578899337858571037052294051641755233206912821936507105753155787947684865578200495665985782357048417644628387400604952696236162945405216223<140>

Number: n
N=326388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 183 digits)
SNFS difficulty: 183 digits.
Divisors found:

Thu Sep 15 09:28:45 2022  p44 factor: 30852821117301416124271652513664754864103143
Thu Sep 15 09:28:45 2022  p140 factor: 10578899337858571037052294051641755233206912821936507105753155787947684865578200495665985782357048417644628387400604952696236162945405216223
Thu Sep 15 09:28:45 2022  elapsed time 00:23:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 47x10^183+16 = 52(182)4
#
n: 326388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 1000000000000000000000000000000000000
deg: 5
c5: 5875
c0: 2
skew: 0.20
# Murphy_E = 5.902e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3391461 hash collisions in 28865613 relations (27141687 unique)
Msieve: matrix is 982274 x 982504 (336.6 MB)

Sieving start time : 2022/09/15 05:01:33
Sieving end time  : 2022/09/15 09:04:17

Total sieving time: 4hrs 2min 44secs.

Total relation processing time: 0hrs 15min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1637800075521646773141903957982485073442440275655289988806388410346765977426912159047347821079538906019738556514217725591890258211415953137535715949730746499672570053069601<172>

59165757179233419443103495024848857531<38>

27681553547268689140030196305177746379134702365593391265663867338182201924387359644371997818322228257793437756239195989803450834997971<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3541890086
Step 1 took 4984ms
Step 2 took 3266ms
********** Factor found in step 2: 59165757179233419443103495024848857531
Found prime factor of 38 digits: 59165757179233419443103495024848857531
Composite cofactor 27681553547268689140030196305177746379134702365593391265663867338182201924387359644371997818322228257793437756239195989803450834997971 has 134 digits
 

GMP-ECM

27681553547268689140030196305177746379134702365593391265663867338182201924387359644371997818322228257793437756239195989803450834997971<134>

2937504889581616984863014261570984828648739352483858413793<58>
9423491904795201241784959055984992387827690451338770231296009328939134352947<76>

27681553547268689140030196305177746379134702365593391265663867338182201924387359644371997818322228257793437756239195989803450834997971=2937504889581616984863014261570984828648739352483858413793*9423491904795201241784959055984992387827690451338770231296009328939134352947

cado polynomial
n: 27681553547268689140030196305177746379134702365593391265663867338182201924387359644371997818322228257793437756239195989803450834997971
skew: 0.51
type: snfs
c0: 8
c5: 235
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5+8
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9300000
tasks.lim1 = 9300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2937504889581616984863014261570984828648739352483858413793 9423491904795201241784959055984992387827690451338770231296009328939134352947
Info:Square Root: Total cpu/real time for sqrt: 1236.83/376.562
Info:Square Root: Total cpu/real time for sqrt: 1236.83/376.562
Info:Generate Factor Base: Total cpu/real time for makefb: 4/2.16787
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 98.74/106
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.29999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 246.82/259.416
Info:Filtering - Merging: Merged matrix has 1706000 rows and total weight 291047459 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 446.46/123.349
Info:Filtering - Merging: Total cpu/real time for replay: 65.9/56.6577
Info:Quadratic Characters: Total cpu/real time for characters: 61.37/26.3419
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23626065
Info:Lattice Sieving: Average J: 1894.18 for 1421591 special-q, max bucket fill -bkmult 1.0,1s:1.132890
Info:Lattice Sieving: Total time: 360302s
Info:Linear Algebra: Total cpu/real time for bwc: 47638.1/12241.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30474.04, WCT time 7783.25, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53504 iterations)
Info:Linear Algebra: Lingen CPU time 338.44, WCT time 85.92
Info:Linear Algebra: Mksol: CPU time 16511.73,  WCT time 4246.8, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.55/31.4372
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 355.94/348.809
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 288.3s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 749298/43478.1
Info:root: Cleaning up computation data in /tmp/cado.70xut5lh
2937504889581616984863014261570984828648739352483858413793 9423491904795201241784959055984992387827690451338770231296009328939134352947

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)

3881731159672992612764253543018524936335802980561343058401432154094240191800741019472733603015348560042006187691923<115>

3727208028391939601870318787183141821329<40>
1041458145105928045615069010131153635789476386895385515505857785723613314787<76>

3881731159672992612764253543018524936335802980561343058401432154094240191800741019472733603015348560042006187691923=3727208028391939601870318787183141821329*1041458145105928045615069010131153635789476386895385515505857785723613314787

cado polynomial
n: 3881731159672992612764253543018524936335802980561343058401432154094240191800741019472733603015348560042006187691923
skew: 12932.491
c0: 18801514578652046415213650
c1: -5038312821649857337307
c2: 125209932210549957
c3: -6901658183108
c4: -2152664692
c5: -80400
Y0: -11362477087244357162326
Y1: 8332807718387057
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.032e-06
# f(x) = -80400*x^5-2152664692*x^4-6901658183108*x^3+125209932210549957*x^2-5038312821649857337307*x+18801514578652046415213650
# g(x) = 8332807718387057*x-11362477087244357162326

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1041458145105928045615069010131153635789476386895385515505857785723613314787 3727208028391939601870318787183141821329
Info:Square Root: Total cpu/real time for sqrt: 475.68/138.738
Info:Filtering - Singleton removal: Total cpu/real time for purge: 99.7/111.421
Info:Filtering - Merging: Merged matrix has 437905 rows and total weight 67902509 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.03/20.2068
Info:Filtering - Merging: Total cpu/real time for replay: 14.49/11.8411
Info:Generate Factor Base: Total cpu/real time for makefb: 4.03/1.13817
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7309333
Info:Lattice Sieving: Average J: 1894.03 for 159780 special-q, max bucket fill -bkmult 1.0,1s:1.247850
Info:Lattice Sieving: Total time: 17700s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 319.43
Info:Polynomial Selection (root optimized): Rootsieve time: 318.3
Info:Linear Algebra: Total cpu/real time for bwc: 2562.32/661.04
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1585.24, WCT time 405.66, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Linear Algebra: Lingen CPU time 69.43, WCT time 17.66
Info:Linear Algebra: Mksol: CPU time 869.93,  WCT time 222.16, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 23552/32.740/40.875/46.400/1.036
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 18820/32.510/36.030/41.310/0.896
Info:Polynomial Selection (size optimized): Total time: 1857.3
Info:Generate Free Relations: Total cpu/real time for freerel: 64.99/17.0807
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.21/135.276
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 101.70000000000002s
Info:Square Root: Total cpu/real time for sqrt: 475.68/138.738
Info:Quadratic Characters: Total cpu/real time for characters: 15.85/6.26358
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.74/30.7068
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.699999999999996s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 38104/10459.8
Info:root: Cleaning up computation data in /tmp/cado.mahsii84
1041458145105928045615069010131153635789476386895385515505857785723613314787 3727208028391939601870318787183141821329

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)

1718683549054729928903073249388528552045636436538438071826344034952913940728224461909734830656233192346750111034324893633543834093484221716502784960300507319<157>

3648602949588190697357703492860315747723660141687597789065256644437728399<73>
471052502232043015630176942808264834070309786007380250957889163589248982127336693081<84>

Number: n
N=1718683549054729928903073249388528552045636436538438071826344034952913940728224461909734830656233192346750111034324893633543834093484221716502784960300507319  ( 157 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Oct  3 20:16:54 2022  p73 factor: 3648602949588190697357703492860315747723660141687597789065256644437728399
Mon Oct  3 20:16:54 2022  p84 factor: 471052502232043015630176942808264834070309786007380250957889163589248982127336693081
Mon Oct  3 20:16:54 2022  elapsed time 00:29:53 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 47x10^188+16 = 52(187)4
#
n: 1718683549054729928903073249388528552045636436538438071826344034952913940728224461909734830656233192346750111034324893633543834093484221716502784960300507319
m: 10000000000000000000000000000000000000
deg: 5
c5: 5875
c0: 2
skew: 0.20
# Murphy_E = 3.689e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1935335 hash collisions in 13862655 relations (12641850 unique)
Msieve: matrix is 1180787 x 1181014 (410.6 MB)

Sieving start time : 2022/10/03 15:24:52
Sieving end time  : 2022/10/03 19:46:15

Total sieving time: 4hrs 21min 23secs.

Total relation processing time: 0hrs 22min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 10sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,7800000,7800000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

105528616237049321018548987769901784914842309982015195158480657871139795976356713431768462721472945094410323498099334457151277558205614439606008693<147>

92116604565147359240124289613119003959966419119<47>
1145598198448756582635095348013869297233999003491808668442834273881361768899337506941443602556337947<100>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 105528616237049321018548987769901784914842309982015195158480657871139795976356713431768462721472945094410323498099334457151277558205614439606008693 (147 digits)
Using B1=21830000, B2=96186870796, polynomial Dickson(12), sigma=1:2408996695
Step 1 took 43911ms
Step 2 took 17651ms
********** Factor found in step 2: 92116604565147359240124289613119003959966419119
Found prime factor of 47 digits: 92116604565147359240124289613119003959966419119
Prime cofactor 1145598198448756582635095348013869297233999003491808668442834273881361768899337506941443602556337947 has 100 digits

29323315991955411167695489104491031750995785875837049532311792849503861733287561354870008862317833977032625979098358082485627<125>

17807785004718919157719359389217513835130785861156091563<56>
1646657121263816321455400318076777350272225954704808671357282384598129<70>

29323315991955411167695489104491031750995785875837049532311792849503861733287561354870008862317833977032625979098358082485627=17807785004718919157719359389217513835130785861156091563*1646657121263816321455400318076777350272225954704808671357282384598129

cado polynomial
n: 29323315991955411167695489104491031750995785875837049532311792849503861733287561354870008862317833977032625979098358082485627
skew: 168726.471
c0: 486210021206894813309222321734
c1: 7706031391437285080861241
c2: -24982403734273342348
c3: -842934317577191
c4: 1215541784
c5: 5280
Y0: -1848000756715616619307670
Y1: 274824051271401637
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.874e-07
# f(x) = 5280*x^5+1215541784*x^4-842934317577191*x^3-24982403734273342348*x^2+7706031391437285080861241*x+486210021206894813309222321734
# g(x) = 274824051271401637*x-1848000756715616619307670

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: 1646657121263816321455400318076777350272225954704808671357282384598129 17807785004718919157719359389217513835130785861156091563
Info:Square Root: Total cpu/real time for sqrt: 536.21/156.791
Info:Filtering - Singleton removal: Total cpu/real time for purge: 52.13/58.9952
Info:Filtering - Merging: Merged matrix has 801148 rows and total weight 136773501 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 161.9/46.5021
Info:Filtering - Merging: Total cpu/real time for replay: 30.2/25.0813
Info:Generate Factor Base: Total cpu/real time for makefb: 8.53/2.35034
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11636748
Info:Lattice Sieving: Average J: 3819.84 for 186546 special-q, max bucket fill -bkmult 1.0,1s:1.215850
Info:Lattice Sieving: Total time: 55960.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2352.43
Info:Polynomial Selection (root optimized): Rootsieve time: 2349.97
Info:Linear Algebra: Total cpu/real time for bwc: 9706.19/2495.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6096.48, WCT time 1559.66, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 147.84, WCT time 37.54
Info:Linear Algebra: Mksol: CPU time 3336.55,  WCT time 852.42, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
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): 20019/36.140/44.334/47.090/0.868
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15854/36.120/39.712/45.110/0.948
Info:Polynomial Selection (size optimized): Total time: 1962.57
Info:Generate Free Relations: Total cpu/real time for freerel: 127.24/33.1526
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.1/106.532
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.2s
Info:Square Root: Total cpu/real time for sqrt: 536.21/156.791
Info:Quadratic Characters: Total cpu/real time for characters: 30.74/12.2422
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.6/53.281
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 119206/32410
Info:root: Cleaning up computation data in /tmp/cado.7lyk5eq8
1646657121263816321455400318076777350272225954704808671357282384598129 17807785004718919157719359389217513835130785861156091563

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)

29947288593089100024124464030382585384648954046786379205559456710156530331051731619947097962937996155163698949743178966757149646473160093333012707702211536079026589<164>

54210559601579962821896099550146829702956182368211588823<56>
552425372716799781446266872434486713949784630954277526811168098268894635967499928403291852955331288776886443<108>

Number: n
N=29947288593089100024124464030382585384648954046786379205559456710156530331051731619947097962937996155163698949743178966757149646473160093333012707702211536079026589  ( 164 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Sep 26 00:52:48 2022  p56 factor: 54210559601579962821896099550146829702956182368211588823
Mon Sep 26 00:52:48 2022  p108 factor: 552425372716799781446266872434486713949784630954277526811168098268894635967499928403291852955331288776886443
Mon Sep 26 00:52:48 2022  elapsed time 00:43:19 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 47x10^191+16 = 52(190)4
#
n: 29947288593089100024124464030382585384648954046786379205559456710156530331051731619947097962937996155163698949743178966757149646473160093333012707702211536079026589
m: 100000000000000000000000000000000000000
deg: 5
c5: 235
c0: 8
skew: 0.51
# Murphy_E = 3.008e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3250828 hash collisions in 28875408 relations (27330990 unique)
Msieve: matrix is 1351024 x 1351249 (470.2 MB)

Sieving start time : 2022/09/25 19:36:52
Sieving end time  : 2022/09/26 00:08:59

Total sieving time: 4hrs 32min 7secs.

Total relation processing time: 0hrs 33min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 34sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

78328126685334319269467918025671786192292018763595761026691433844471363886592150092741840633898004615674505665575749214012039<125>

21118984652746051124365269076640998394446402222052954641<56>
3708896425337829869132209585709427578796900079523447422380916248179479<70>

78328126685334319269467918025671786192292018763595761026691433844471363886592150092741840633898004615674505665575749214012039=21118984652746051124365269076640998394446402222052954641*3708896425337829869132209585709427578796900079523447422380916248179479

cado polynomial
n: 78328126685334319269467918025671786192292018763595761026691433844471363886592150092741840633898004615674505665575749214012039
skew: 29329.279
c0: -1510020403436984153780637570
c1: 269918751734458419633157
c2: 59784661207422057306
c3: -933054471444573
c4: -40922940296
c5: 80640
Y0: -2226156069768416926154461
Y1: 22389462474419659
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.328e-07
# f(x) = 80640*x^5-40922940296*x^4-933054471444573*x^3+59784661207422057306*x^2+269918751734458419633157*x-1510020403436984153780637570
# g(x) = 22389462474419659*x-2226156069768416926154461

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: 3708896425337829869132209585709427578796900079523447422380916248179479 21118984652746051124365269076640998394446402222052954641
Info:Square Root: Total cpu/real time for sqrt: 312.48/92.9244
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.92/107.658
Info:Filtering - Merging: Merged matrix has 797468 rows and total weight 136432375 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 166.23/47.6041
Info:Filtering - Merging: Total cpu/real time for replay: 29.82/24.6938
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11885671
Info:Lattice Sieving: Average J: 3775.86 for 218613 special-q, max bucket fill -bkmult 1.0,1s:1.231070
Info:Lattice Sieving: Total time: 64343.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2307.31
Info:Polynomial Selection (root optimized): Rootsieve time: 2304.89
Info:Linear Algebra: Total cpu/real time for bwc: 9577.46/2462.36
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6021.28, WCT time 1540.48, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 149.79, WCT time 38.08
Info:Linear Algebra: Mksol: CPU time 3281.68,  WCT time 838.57, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
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): 20207/37.180/44.498/49.040/0.862
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15948/35.990/39.878/45.270/0.987
Info:Polynomial Selection (size optimized): Total time: 1964.12
Info:Generate Factor Base: Total cpu/real time for makefb: 8.56/2.35285
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 163.06/151.651
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 129.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 126.94/32.9455
Info:Square Root: Total cpu/real time for sqrt: 312.48/92.9244
Info:Quadratic Characters: Total cpu/real time for characters: 29.95/11.9988
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.89/52.8142
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 134288/36381.3
Info:root: Cleaning up computation data in /tmp/cado.66ihdtlr
3708896425337829869132209585709427578796900079523447422380916248179479 21118984652746051124365269076640998394446402222052954641

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)

9360880080878258657547018112371034258539065381844784053421704177034583094038508825641621770302352653360866928600565155068456907576908592443654642394076092698237833010167712587<175>

157405072693411441012974729195730333<36>

59470002590774701745523115606960570501182846710140252143686395495556545581638115101947822341607687521736267469555363003701220657133436511239<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3996177891
Step 1 took 5172ms
********** Factor found in step 2: 157405072693411441012974729195730333
Found prime factor of 36 digits: 157405072693411441012974729195730333
Composite cofactor 59470002590774701745523115606960570501182846710140252143686395495556545581638115101947822341607687521736267469555363003701220657133436511239 has 140 digits
 

GMP-ECM

59470002590774701745523115606960570501182846710140252143686395495556545581638115101947822341607687521736267469555363003701220657133436511239<140>

1580346867817945443411140336947452522083355308361150790950745682464703<70>
37630980768726776293631743513043977350563950436326312258988880982326713<71>

Number: n
N=59470002590774701745523115606960570501182846710140252143686395495556545581638115101947822341607687521736267469555363003701220657133436511239  ( 140 digits)
SNFS difficulty: 193 digits.
Divisors found:

Tue Feb 28 02:01:03 2023  prp70 factor: 1580346867817945443411140336947452522083355308361150790950745682464703
Tue Feb 28 02:01:03 2023  prp71 factor: 37630980768726776293631743513043977350563950436326312258988880982326713
Tue Feb 28 02:01:03 2023  elapsed time 02:26:29 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 47x10^193+16 = 52(192)4
#
n: 59470002590774701745523115606960570501182846710140252143686395495556545581638115101947822341607687521736267469555363003701220657133436511239
m: 100000000000000000000000000000000000000
deg: 5
c5: 5875
c0: 2
skew: 0.20
# Murphy_E = 2.296e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 52957903)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1285286 hash collisions in 12681574 relations (12173576 unique)
Msieve: matrix is 2164266 x 2164491 (614.7 MB)

Sieving start time: 2023/02/27 02:31:30
Sieving end time  : 2023/02/27 23:34:23

Total sieving time: 21hrs 2min 53secs.

Total relation processing time: 2hrs 19min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 21sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11500000,11500000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

84483283899585187007778251648637969940260742473104727169123177679486848170318958497670063561023117051692775804981829482369947768743935295272797097953<149>

305731342354007062306570955664958158642801688334774628069509<60>
276331773017114443634710490379819922849040148986474705923723791462799789522400073860140717<90>

84483283899585187007778251648637969940260742473104727169123177679486848170318958497670063561023117051692775804981829482369947768743935295272797097953=305731342354007062306570955664958158642801688334774628069509*276331773017114443634710490379819922849040148986474705923723791462799789522400073860140717

cado polynomial
n: 84483283899585187007778251648637969940260742473104727169123177679486848170318958497670063561023117051692775804981829482369947768743935295272797097953
skew: 0.51
type: snfs
c0: 8
c5: 235
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 235*x^5+8
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13600000
tasks.lim1 = 13600000
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 = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 276331773017114443634710490379819922849040148986474705923723791462799789522400073860140717 305731342354007062306570955664958158642801688334774628069509
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2382.62/131.748
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.58/79.9195
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 79.60000000000001s
Info:Generate Free Relations: Total cpu/real time for freerel: 72.4/6.45702
Info:Quadratic Characters: Total cpu/real time for characters: 57.82/11.1819
Info:Filtering - Singleton removal: Total cpu/real time for purge: 321.82/221.59
Info:Filtering - Merging: Merged matrix has 2045572 rows and total weight 348719951 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 467.79/30.2203
Info:Filtering - Merging: Total cpu/real time for replay: 40.94/35.9049
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25421805
Info:Lattice Sieving: Average J: 3790.44 for 1124258 special-q, max bucket fill -bkmult 1.0,1s:1.124830
Info:Lattice Sieving: Total time: 356313s
Info:Linear Algebra: Total cpu/real time for bwc: 57668.6/7237.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 38005.51, WCT time 4783.69, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 435.51, WCT time 28.13
Info:Linear Algebra: Mksol: CPU time 19003.77,  WCT time 2393.17, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (32000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.05/0.309138
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 425.98/322.348
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 224.1s
Info:Square Root: Total cpu/real time for sqrt: 2382.62/131.748
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 738222/37518.6
Info:root: Cleaning up computation data in /tmp/cado.dl7k8uub
276331773017114443634710490379819922849040148986474705923723791462799789522400073860140717 305731342354007062306570955664958158642801688334774628069509

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)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

84784001298252944031867082369997464764234940537998875341203706530592778077160991666067677713116518548612093084936872233853<122>

606436878726852962404924871967177957527917<42>
139806803102488689733774958222590899553008351112449019677588250448291499322697809<81>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2398078017
Step 1 took 4860ms
Step 2 took 2922ms
********** Factor found in step 2: 606436878726852962404924871967177957527917
Found prime factor of 42 digits: 606436878726852962404924871967177957527917
Prime cofactor 139806803102488689733774958222590899553008351112449019677588250448291499322697809 has 81 digits

GMP-ECM

107683227637911961081645104625212353862206419457252579716955819142118253690443372446032976755262353906967937843<111>

172271629194269519692233394143869<33>
625078128891892774820728824090241197248915968626624467440096701405716903304047<78>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:4292308941 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 107683227637911961081645104625212353862206419457252579716955819142118253690443372446032976755262353906967937843 (111 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4292308941
Step 1 took 3265ms
Step 2 took 3203ms
********** Factor found in step 2: 172271629194269519692233394143869
Found probable prime factor of 33 digits: 172271629194269519692233394143869
Probable prime cofactor 625078128891892774820728824090241197248915968626624467440096701405716903304047 has 78 digits

423347493629683300769188513105757750838293702404873932121127056935325495529475798690265170281935643206368038274515839734083566209370365862443741670874691962448199<162>

4837775112047078752084359285056742746297057109706756109<55>
87508717090932750156337601147766151054323561052618632916440919280547712275104701920312772677159588805359011<107>

Number: n
N=423347493629683300769188513105757750838293702404873932121127056935325495529475798690265170281935643206368038274515839734083566209370365862443741670874691962448199  ( 162 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Oct  7 04:21:04 2023  prp55 factor: 4837775112047078752084359285056742746297057109706756109
Sat Oct  7 04:21:04 2023  prp107 factor: 87508717090932750156337601147766151054323561052618632916440919280547712275104701920312772677159588805359011
Sat Oct  7 04:21:04 2023  elapsed time 02:56:53 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 47x10^204+16 = 52(203)4
#
n: 423347493629683300769188513105757750838293702404873932121127056935325495529475798690265170281935643206368038274515839734083566209370365862443741670874691962448199
m: 50000000000000000000000000000000000000000
deg: 5
c5: 47
c0: 5
skew: 0.64
# Murphy_E = 9.046e-12
type: snfs
lss: 1
rlim: 18400000
alim: 18400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18400000/18400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3454445 hash collisions in 19338442 relations (16271089 unique)
Msieve: matrix is 2371728 x 2371953 (667.0 MB)

Sieving start time: 2023/10/06 04:41:50
Sieving end time  : 2023/10/07 01:23:45

Total sieving time: 20hrs 41min 55secs.

Total relation processing time: 2hrs 49min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

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

10460986842570364021276353604114152048661173580259602423420787402851495879942080892833368046834699346648820276271240421867910221826244906041<140>

303967457838872316946519018712959491256207447909433<51>
34414824918908079374573096345083435094917943264484769453075605190936098198719486376830977<89>

n: 10460986842570364021276353604114152048661173580259602423420787402851495879942080892833368046834699346648820276271240421867910221826244906041
skew: 126382.024
c0: 38253172936729363442489141507040
c1: -981709408858454186322738283
c2: -9846992751513456370446
c3: -11196175380631385
c4: 78621937248
c5: 1777860
Y0: -511648383761748036307574269
Y1: 1053647683985878370527
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.389e+13) = 1.196e-06
# f(x) = 1777860*x^5+78621937248*x^4-11196175380631385*
     x^3-9846992751513456370446*x^2-981709408858454186322738283*
        x+38253172936729363442489141507040
# g(x) = 1053647683985878370527*x-511648383761748036307574269
Factors:
 303967457838872316946519018712959491256207447909433
        34414824918908079374573096345083435094917943264484769453075605190936098198719486376830977
Total cpu/elapsed time for entire Complete Factorization 768761/133739

CADO-NFS v3.0.0.

Ubuntu 20.04.4, Intel Xeon E5-1620

7267440723856703757387501127297673147618241358130873060716900259689524978927569862897254746575054292845089060236857124501098617095167044152542351406903888715211609259804444247999377<181>

3493214800717552487679627660159449679481715960215430836670687<61>
2080444844778476085563489764810334905944733146311340174533620865349545065774684450283441805868082434895839100496884713871<121>

Number: n
N=7267440723856703757387501127297673147618241358130873060716900259689524978927569862897254746575054292845089060236857124501098617095167044152542351406903888715211609259804444247999377  ( 181 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Jul  3 17:52:26 2024  prp61 factor: 3493214800717552487679627660159449679481715960215430836670687
Wed Jul  3 17:52:26 2024  prp121 factor: 2080444844778476085563489764810334905944733146311340174533620865349545065774684450283441805868082434895839100496884713871
Wed Jul  3 17:52:26 2024  elapsed time 03:36:44 (Msieve 1.44 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.914).
Factorization parameters were as follows:
#
# N = 47x10^206+16 = 52(205)4
#
n: 7267440723856703757387501127297673147618241358130873060716900259689524978927569862897254746575054292845089060236857124501098617095167044152542351406903888715211609259804444247999377
m: 100000000000000000000000000000000000000000
deg: 5
c5: 235
c0: 8
skew: 0.51
# Murphy_E = 7.092e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5518589 hash collisions in 21886611 relations (15790579 unique)
Msieve: matrix is 2534809 x 2535034 (715.7 MB)

Sieving start time: 2024/07/02 18:58:07
Sieving end time  : 2024/07/03 14:10:00

Total sieving time: 19hrs 11min 53secs.

Total relation processing time: 3hrs 18min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 12min 46sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

17267202238646037402590601594277258127563172218968426195460628911448699699716494978080957370877062971729530258848374532384899792738048279864222963057076847022048493906733723540365192515107852527211<197>

54902783175150204884616512922796993007<38>
314505044007703844582813594663996852554975999252098012547994549233016927455849350038989987354113431458524004410716420222333919070179236845935947145078101391173<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:12252127232178242842
Step 1 took 16593ms
Step 2 took 5625ms
********** Factor found in step 2: 54902783175150204884616512922796993007
Found prime factor of 38 digits: 54902783175150204884616512922796993007
Prime cofactor 314505044007703844582813594663996852554975999252098012547994549233016927455849350038989987354113431458524004410716420222333919070179236845935947145078101391173 has 159 digits

GMP-ECM 7.0.5

3397562758038053428660789846744926304243054861310612438936133603570691429431436096036489334507876679082120543503490561134689<124>

377102256954550832840674963795156451<36>
9009659039106559705310031231624215036717605983763855826288346805733875411621248301788139<88>

3397562758038053428660789846744926304243054861310612438936133603570691429431436096036489334507876679082120543503490561134689=377102256954550832840674963795156451*9009659039106559705310031231624215036717605983763855826288346805733875411621248301788139

cado polynomial
n: 3397562758038053428660789846744926304243054861310612438936133603570691429431436096036489334507876679082120543503490561134689
skew: 66676.693
c0: -54422440834556544904599702717
c1: -2054570844955524357586112
c2: 43782555639519781423
c3: 184229395737088
c4: -4744609650
c5: 48600
Y0: -1257951503067293192342114
Y1: 17080424178917123
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.889e-07
# f(x) = 48600*x^5-4744609650*x^4+184229395737088*x^3+43782555639519781423*x^2-2054570844955524357586112*x-54422440834556544904599702717
# g(x) = 17080424178917123*x-1257951503067293192342114

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: 9009659039106559705310031231624215036717605983763855826288346805733875411621248301788139 377102256954550832840674963795156451
Info:Square Root: Total cpu/real time for sqrt: 257.64/77.5885
Info:Filtering - Singleton removal: Total cpu/real time for purge: 55.07/60.932
Info:Filtering - Merging: Merged matrix has 739546 rows and total weight 126016644 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 145.66/41.8916
Info:Filtering - Merging: Total cpu/real time for replay: 27.33/22.5096
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11621335
Info:Lattice Sieving: Average J: 3803.91 for 173186 special-q, max bucket fill -bkmult 1.0,1s:1.280510
Info:Lattice Sieving: Total time: 52292.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2810.3
Info:Polynomial Selection (root optimized): Rootsieve time: 2807.88
Info:Linear Algebra: Total cpu/real time for bwc: 8165.62/2102.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5127.99, WCT time 1313.69, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Linear Algebra: Lingen CPU time 129.14, WCT time 32.8
Info:Linear Algebra: Mksol: CPU time 2795.0,  WCT time 714.71, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11776 iterations)
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): 20023/36.870/44.001/48.470/0.887
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15814/36.230/39.368/44.740/0.906
Info:Polynomial Selection (size optimized): Total time: 2001.5
Info:Generate Free Relations: Total cpu/real time for freerel: 131.78/34.2732
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.92/107.193
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 97.0s
Info:Square Root: Total cpu/real time for sqrt: 257.64/77.5885
Info:Generate Factor Base: Total cpu/real time for makefb: 8.26/2.29542
Info:Quadratic Characters: Total cpu/real time for characters: 27.95/11.2339
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.49/52.151
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.0s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 111079/30251.4
Info:root: Cleaning up computation data in /tmp/cado.qcd8x12z
9009659039106559705310031231624215036717605983763855826288346805733875411621248301788139 377102256954550832840674963795156451

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)

278153963543033552380030351256584288678495865160518145508949577987981965502657096738483607239471107750612394236561710761153084837277505398655077134926431685082355187357774634350508742922755078319652103<201>

69836682861783895058672314316774392957682449982418751401130950188879638073356421945615493703852675180523906333565659017981530259761146371314867448786703993021531<161>

9671496861564571413511973882751000809872008070173267354509747093898577103884605119035735165791417278583215116586586107480112785080010049342368995355281311284744184106483183418722301<181>

609856324732921049566728329707350263<36>
15858648126343663829978987132582558097088320411139351037565383539512361303818074691492813370932814458908947807257592978563386856379538626792320427<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:17522710793868511663
Step 1 took 18328ms
Step 2 took 5953ms
********** Factor found in step 2: 609856324732921049566728329707350263
Found prime factor of 36 digits: 609856324732921049566728329707350263
Prime cofactor 15858648126343663829978987132582558097088320411139351037565383539512361303818074691492813370932814458908947807257592978563386856379538626792320427 has 146 digits

GMP-ECM 7.0.5

712861672956546703900791869762221805689047121589188529085118389955180853656550823154087043809380581925325815996782033979439435963<129>

285919287170453926778749135029130129261192186474669836649<57>
2493226952302683867318773538015448462483010435623902016808784921774227587<73>

712861672956546703900791869762221805689047121589188529085118389955180853656550823154087043809380581925325815996782033979439435963=285919287170453926778749135029130129261192186474669836649*2493226952302683867318773538015448462483010435623902016808784921774227587

cado polynomial
n: 712861672956546703900791869762221805689047121589188529085118389955180853656550823154087043809380581925325815996782033979439435963
skew: 165103.872
c0: 780795287855988061196898145060
c1: -70379225938373655241204443
c2: -66658831084938586890
c3: 1515842870400671
c4: 4272540978
c5: 24720
Y0: -8943343881771407453251698
Y1: 410480086176080951
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.231e-07
# f(x) = 24720*x^5+4272540978*x^4+1515842870400671*x^3-66658831084938586890*x^2-70379225938373655241204443*x+780795287855988061196898145060
# g(x) = 410480086176080951*x-8943343881771407453251698

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

cado log (extracts)
Info:Square Root: Factors: 2493226952302683867318773538015448462483010435623902016808784921774227587 285919287170453926778749135029130129261192186474669836649
Info:Square Root: Total cpu/real time for sqrt: 723/217.964
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23169701
Info:Lattice Sieving: Average J: 7956.98 for 51959 special-q, max bucket fill -bkmult 1.0,1s:1.071460
Info:Lattice Sieving: Total time: 75756.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5833.8
Info:Polynomial Selection (root optimized): Rootsieve time: 5831.19
Info:Linear Algebra: Total cpu/real time for bwc: 50807.8/13077.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32574.93, WCT time 8336.06, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Linear Algebra: Lingen CPU time 349.41, WCT time 88.68
Info:Linear Algebra: Mksol: CPU time 17561.45,  WCT time 4522.75, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38432/37.580/45.984/50.220/0.857
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30427/36.990/41.249/46.790/0.946
Info:Polynomial Selection (size optimized): Total time: 4942.9
Info:Generate Free Relations: Total cpu/real time for freerel: 256.92/64.9087
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 266.41/231.121
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 213.39999999999998s
Info:Quadratic Characters: Total cpu/real time for characters: 69.97/30.5373
Info:Generate Factor Base: Total cpu/real time for makefb: 39.03/10.7095
Info:Square Root: Total cpu/real time for sqrt: 723/217.964
Info:Filtering - Singleton removal: Total cpu/real time for purge: 113.82/132.565
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.82/106.442
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.3s
Info:Filtering - Merging: Merged matrix has 1765872 rows and total weight 300329262 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 445.92/125.082
Info:Filtering - Merging: Total cpu/real time for replay: 71.32/60.4303
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 206053/55812.8
Info:root: Cleaning up computation data in /tmp/cado.43sg_klg
2493226952302683867318773538015448462483010435623902016808784921774227587 285919287170453926778749135029130129261192186474669836649

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)

8377690566164101246794920375105172853452999408325602181677439744428896346648339122813373611595815819560053094478387119326752072148143571413593017337829049832947831218142045582234038453<184>

3748070928212765768377254695299664484279558105616980440730565571469293601987692270893386526986121402337050268348213<115>

85698347699664069042555929100364767972243987589<47>
43735626518123148356428628102766863350178154040391890216426840792817<68>

nfs: commencing nfs on c115: 3748.....8213
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 1133 seconds
nfs: expecting degree 5 poly E from 5.26e-10 to > 6.05e-10
nfs: searching for avg quality poly E > 5.45e-10
nfs: completed 32 ranges of size 250 in 302.9803 seconds
nfs: best poly = # norm 6.202783e-11 alpha -5.828237 e 5.492e-10 rroots 1
nfs: commencing msieve sqrt
prp68 = 43735626518123148356428628102766863350178154040391890216426840792817
prp47 = 85698347699664069042555929100364767972243987589
NFS elapsed time = 13475.0778 seconds. (3.74 hours).

YAFU x64 v2.09

Windows 10 Professional x64 v21H1. Intel i7-7700. 16 GB RAM.

80848443541733179452219121960081219167013413953222078255716239162908941083735640866547588245742079042424469591717903890447965298483748114566306686647750801986774175459<167>

92576035706958017778852787349464815828158840100954403631477582579293980018544884717142028686380409022595213522558788724636239187806978670118331120076540794151797425517690432646923408622707277814559<197>

7756942959072388451859421747959428877745297642153406585281481305437385956434367680416590747650471490098839957432537702043607882902509420559661784083677279484965394131922163863604555669103997169210943957242410078876557<217>

781189187745943287872244626063284913964277302136612929094588833470330647398804885587762888777248643436719700038244363264593737609840850952905873524154117045197040113393300473657276732739448713659976522572298693662863<216>

40737753998856069999540547475750773923715820140299021909755674852341070095022908763282362671575111840909772025426626908837671234994933055492836749611784806083922491399272023616830518420405827355770010187142793170962839<218>

3065031979298421837079004197444789698238852500675605774926033094529076126340737499595994054357689517714442796790829440700338758957102935483185139475695731728617239477457634105018634648379499727<193>

9534273450274540624704454596771074027<37>

321475149132644590638332304828802592778577085609619153256250001167310068295590682429996401882939203021582346751796435102582159242692350877242904521573149101<156>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:3366671580700149175
Step 1 took 18343ms
Step 2 took 5766ms
********** Factor found in step 2: 9534273450274540624704454596771074027
Found prime factor of 37 digits: 9534273450274540624704454596771074027
Composite cofactor 321475149132644590638332304828802592778577085609619153256250001167310068295590682429996401882939203021582346751796435102582159242692350877242904521573149101 has 156 digits

GMP-ECM 7.0.5

321475149132644590638332304828802592778577085609619153256250001167310068295590682429996401882939203021582346751796435102582159242692350877242904521573149101<156>

5808138974587825427397908967135976702025684971<46>

55349080064920119108894027784702119026596881858720166032636395722453479190237187456732669308128269932887865031<110>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:15846137643507855365
Step 1 took 46562ms
Step 2 took 16406ms
********** Factor found in step 2: 5808138974587825427397908967135976702025684971
Found prime factor of 46 digits: 5808138974587825427397908967135976702025684971
Composite cofactor 55349080064920119108894027784702119026596881858720166032636395722453479190237187456732669308128269932887865031 has 110 digits

GMP-ECM 7.0.5

55349080064920119108894027784702119026596881858720166032636395722453479190237187456732669308128269932887865031<110>

368622752369756480154367597146880252407247<42>
150151014035619832460786882384204267952427712318419826558400025288073<69>

N=55349080064920119108894027784702119026596881858720166032636395722453479190237187456732669308128269932887865031
  ( 110 digits)
Divisors found:
 r1=368622752369756480154367597146880252407247 (pp42)
 r2=150151014035619832460786882384204267952427712318419826558400025288073 (pp69)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.11 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 55349080064920119108894027784702119026596881858720166032636395722453479190237187456732669308128269932887865031
skew: 18717.49
c0: 273696918372767095589045
c1: 1381418059942065353634
c2: 637588761278300177
c3: -5296387187904
c4: -1352504512
c5: 8460
Y0: -1456341885627338901336
Y1: 12087221463883
rlim: 3200000
alim: 3200000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1600000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 339399 x 339625
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,52,52,2.5,2.5,100000
total time: 0.11 hours.
 --------- CPU info (if available) ----------

32638888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<227>

2546044102358654755072663038669143865031<40>

12819451500723113417118317467118583317151651317873813518637810930318554650167385153962191503595320252403952631848918922693566817091730959699335312392011116593637435070408971563747459224319<188>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:15090237853539260852
Step 1 took 22938ms
Step 2 took 7640ms
********** Factor found in step 2: 2546044102358654755072663038669143865031
Found prime factor of 40 digits: 2546044102358654755072663038669143865031
Composite cofactor 12819451500723113417118317467118583317151651317873813518637810930318554650167385153962191503595320252403952631848918922693566817091730959699335312392011116593637435070408971563747459224319 has 188 digits

2611172111204145996516931774485545768647037262128822856870604453820912876590436412601509686198380251222248922302856821231460408934164620646173633537429516641235834216551524140844458013536901285261121142932266411229739<217>

16756330610800250222380330478835729810827806011842616292881487937974064333971962446251073528783060353461354060421662902077996269772968092272563664241850611526979494706322951606741210571180520752058836213649744853<212>

2554900261528958129498937160010748415860788883711090617069910413757279462403102132115252775987942235592430015707921723017714507412471148840013903148864417279500338686817445605976296846012449286111731<199>

165172377611679497888965510218184400112641299159540711277974347063870290865828728011913655402674037857998033175388478071359957714478529929126037721698415125046419<162>

46626984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127<233>

157318903944654507252634895543125249603<39>

296385132096951985903904394708444718801771638108688123536680258010574550807103018495737909881074036059522154077452990683632489022141169987500460278047605626337686392897509849644058933274390365909<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:16206967241445282207
Step 1 took 26282ms
Step 2 took 8531ms
********** Factor found in step 2: 157318903944654507252634895543125249603
Found prime factor of 39 digits: 157318903944654507252634895543125249603
Composite cofactor 296385132096951985903904394708444718801771638108688123536680258010574550807103018495737909881074036059522154077452990683632489022141169987500460278047605626337686392897509849644058933274390365909 has 195 digits

GMP-ECM 7.0.5

20931680628517701118170331892143200280329086207005052611310612316958486801408156043456598419067130308869842371196933967543208850381075747579528164964032243683389776713229502197885260908570991227884028024409<206>

282492506679671921133190453327172563923519403218422421910922529077222802799055001469652167084076814231224228115454026707888549090222367346505721880617832815453161989753501487406457992277963<189>

284758363114947015987837247718799648128665705703352415664846067449284575372219950090764216008642749637870780600189771550434243558541558606736843786378454398959642529635425047726980847078434583209939<198>

15951355742348040407070794842829152542690703691858617002305549720415226347749399670309865138911973643404538293631413296591574259808642024703693129197468452300083147903358443816953797135345287620596062736467140245804267863632968963<230>

18884254820011006768985209014312770519<38>

844690769870618759787678537126433154611853995422683670812370963620798392656266652213245109975223964179612149279158416770122111441015325465024137174655018505979566194496801850243111825470481077<192>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:5508584101619137255
Step 1 took 28281ms
Step 2 took 9141ms
********** Factor found in step 2: 18884254820011006768985209014312770519
Found prime factor of 38 digits: 18884254820011006768985209014312770519
Composite cofactor 844690769870618759787678537126433154611853995422683670812370963620798392656266652213245109975223964179612149279158416770122111441015325465024137174655018505979566194496801850243111825470481077 has 192 digits

GMP-ECM 7.0.5

8899101876887991798830068779227112017410793660834218017665451874883989793192143136699081209765266988658136313276742013203752715665076158589599444683924956229294062043599146401177450393831078959829953992173455749833174028049181450763549<235>

208879607734609689011884137802598688211<39>
42603976392921392034965058358148931946041060155894363484664059282631705856553063239467159195782290410556122992307580750171194113519211943485621672669344246897320966906087255394828892436198102158159<197>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2530478895
Step 1 took 11625ms
Step 2 took 4812ms
********** Factor found in step 2: 208879607734609689011884137802598688211
Found prime factor of 39 digits: 208879607734609689011884137802598688211
Prime cofactor 42603976392921392034965058358148931946041060155894363484664059282631705856553063239467159195782290410556122992307580750171194113519211943485621672669344246897320966906087255394828892436198102158159 has 197 digits
 

GMP-ECM

1590207649114929773169942542326277456349797875240497509138463890382647728450365322743872710755139349173553862635660152902238017760112441114845261096896528875240435770945746222205857219249747034315099829041928330025790176745799<226>

1566394008031070532610656139240387608732270243955818868098268237688321098290597307305225829203823938541040963963184473565389209663947970408748290027052154294217898599284705838975355981490488700300551842089304006674299<217>

9468236136203922349847227080746795864799786313751283028198008048856236328122223981827289712788004859972662901852521887553093557269738651827341283792333471468354215027404778284366155859506605121917794662472879670435798597757835287<229>

3442915984712864686353465269040226012566493339791946872980597137216316026599151214972806849959411040659967093514330767723086523464644405900939219685588514790029111095643955157670112416159257191200477441413884805239604424507876337<229>

3939825429651156462076852395876342894462292076424520930599965783562136673708070633794188130845892968460893714507550840483755809878906660053150919779702802722269007859556417532227295365432344004547531435412608031685709757607145919<229>

159253487041995737322330074481826394397397343709921338333734115515132944715927578735173651576794327567624068739023620989724109510871900841717830998112132801894224177576386032784806422281123788095862462122148701825215439618447429641<231>

165175704940216126594041489962834834198173543224052040144809314549726556659696184811769436952478240516895954497131361693002051152573541952509505690607338428789929125968997214613786148675129359019713252750059<207>

245026791365510851081045678160836006137700531652751468232865895402359808045509231099621758565617111443395379837785353772145843527585250840101673686200561734856205273354935758106252970639119600445083509700892475255542753<219>

1904060873043921725442971273590486749349<40>
128686427432227751652943358424814107249902557870949001223516107347663041790386172177495140548813364057673787395036406711835048502771339366928735393731456578238468899735675985229197<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:322710609
Step 1 took 9594ms
Step 2 took 4390ms
********** Factor found in step 2: 1904060873043921725442971273590486749349
Found prime factor of 40 digits: 1904060873043921725442971273590486749349
Prime cofactor 128686427432227751652943358424814107249902557870949001223516107347663041790386172177495140548813364057673787395036406711835048502771339366928735393731456578238468899735675985229197 has 180 digits

GMP-ECM

57025787899896605014044007029652332807558233258605522008046568593029532455615408657237566667368096127203496136482160873450292252458865377028287802098007165468181510970381465876417431822574645615578115139564681760401468841034259<227>

4159631084720743292166198682396025777<37>
13709337856754916901603712002766015048925382340667729809178395449236032455216798864897127062005832852390444100747329076541130862648962141894825459764663396010416962529247289959233480375633667<191>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2119238944
Step 1 took 9531ms
Step 2 took 4422ms
********** Factor found in step 2: 4159631084720743292166198682396025777
Found prime factor of 37 digits: 4159631084720743292166198682396025777
Prime cofactor 13709337856754916901603712002766015048925382340667729809178395449236032455216798864897127062005832852390444100747329076541130862648962141894825459764663396010416962529247289959233480375633667 has 191 digits

GMP-ECM

1994678294835558070151168949910855186664974612564133401050062279786618800457710963963178690780107480549598161387180642071497825960235651532972318611223448801729787921058311151081527342746249474016299411401169649479111090432998260360207980707<241>

205690238047315662342207171928308584955229455990219494311855957283038515595311495492832976752667886682463283925421445049383113416471516134848250780972314025846775811713271891512715984976036089071298404557750341116273927<219>

2537617561096283657161514843297670257<37>

81056437030036478435480539778612078060093435199498131889298442811745206710543613658862927664090758174111096774833113782126939473711245930672318402173081488943540246824589756591832311<182>

GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 02:53:40 2023
Input number is 205690238047315662342207171928308584955229455990219494311855957283038515595311495492832976752667886682463283925421445049383113416471516134848250780972314025846775811713271891512715984976036089071298404557750341116273927 (219 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 20736MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20  25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 195861ms
Computing h took 24333ms
Computing DCT-I of h took 59424ms
Multi-point evaluation 1 of 2:
Computing g_i took 78693ms
Computing g*h took 118583ms
Computing gcd of coefficients and N took 26175ms
Step 2 took 505449ms
********** Factor found in step 2: 2537617561096283657161514843297670257
Found prime factor of 37 digits: 2537617561096283657161514843297670257
Composite cofactor 81056437030036478435480539778612078060093435199498131889298442811745206710543613658862927664090758174111096774833113782126939473711245930672318402173081488943540246824589756591832311 has 182 digits
Peak memory usage: 20477MB

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

490607870935341889922828123005251137162945187327142317445049499124042930877741226606301312219969064596141509861190595650967924544609320008726863100295588191399833145059425886845481618919901579436143512493560302507341529515249<225>

2300408709210327445070155613349653509503526771275550199029403726231394098580442257979383639258324738614836794322708773347680052500221230795013418724504619220688094337509700872471606104247083081756721304799651042682272639349949528054022602347630716075138592283<259>

754206680247564939732530841758632005618629323435484509585467007000973176045963459846624911041002978917437255507629825003014803224264600750108258757725538622392276629411929790172965320152855813224274719536928994152459<216>

87947241785331796826373010968591537206808294515031421182858963304561325427509385119360354353597797328527042385027362524013290818870345959829182930355233483754040632237062492385895128172987975816216494348411633897202407165634770647850029375243182629700107<254>

917653186481872567602559462626955557792130825375219600143777440953214931092653935962937044107422828591592832774334288455415335818809541792345048879816991390181008654203467679842502177812654045383766688527721279998744727890040233568636127909<240>

10675500336729893532152902406493567335639505560339840753151254945287431136000476484798086098973235575809411414679623799484087504838894370760681862603025137961345813310960082359195725234202746497758024933043381961351959<218>

120884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218107<270>

4821082374585026633935043026249956871786749545457429644276188080916548874441604325501379224415230019065682159619666579098805112052025940866754766927562655545329309691673219106052062983949508955446423<199>

573822661841477526716072150051824511<36>

8401693929468550573572432613710315368900982741723801495404497077922715608891193169369780404863269740647752899116148299371922621122195643099203491939870225398837993<163>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Tue Nov 21 10:28:18 2023
Input number is 4821082374585026633935043026249956871786749545457429644276188080916548874441604325501379224415230019065682159619666579098805112052025940866754766927562655545329309691673219106052062983949508955446423 (199 digits)
Using mpz_mod   
Using lmax = 33554432 with NTT which takes about 9600MB of memory
Using B1=4000000000-4000000000, B2=8344907294582686, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.53    0.28    0.12    0.045   0.015   0.0045  0.0012  0.00031 7.3e-05
Step 1 took 0ms 
Computing F from factored S_1 took 174687ms
Computing h took 20655ms
Computing DCT-I of h took 54024ms
Multi-point evaluation 1 of 5:
Computing g_i took 67963ms
Computing g*h took 110562ms
Computing gcd of coefficients and N took 24057ms
Step 2 took 453396ms
********** Factor found in step 2: 573822661841477526716072150051824511
Found prime factor of 36 digits: 573822661841477526716072150051824511
Composite cofactor 8401693929468550573572432613710315368900982741723801495404497077922715608891193169369780404863269740647752899116148299371922621122195643099203491939870225398837993 has 163 digits

1080 TI for stage 1

31289276991444388844058159646626102691113997078795821683125499024354693573659275519680780466045241339309003530840595893634748341155970942821372324662141723218037479816903281435837140397498783757094209<200>

453347170050667618361557096643387<33>

69018357361638307024872583078777044477642910029063459545275222448000581783772280264976082390428374191892480258655945987407609456746513904692360759247430572244089731507<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:2701166590397338785
Step 1 took 17593ms
********** Factor found in step 2: 453347170050667618361557096643387
Found prime factor of 33 digits: 453347170050667618361557096643387
Composite cofactor 69018357361638307024872583078777044477642910029063459545275222448000581783772280264976082390428374191892480258655945987407609456746513904692360759247430572244089731507 has 167 digits

GMP-ECM 7.0.5

241627022419888974053380984992354905748769715135216866045527486906143002920658793479654512922610527769477552255915075230156414872972449029121748976035261815240764975074595257005819112965642679040633478557277706843919943888012018077192345355333367036732437<255>

564804154930617767554815043466483814739349746674180365977569454549138803019367136477705815042902438676313147814410217995099171372268039341839086715992911738218957331787434493795386502117712117044684980704219299931823124304066431208341901060330220908495466673<258>

11613611412710597191924714641231113568464962004911229853806426558206644099839277328729745213434415206466205634687356392664539129391261213817930451404330987531105020675610385048550950556159275065829588050010437873654375619334290668693927358170837449471435817<257>

903325460877206770477722795157909903535218793637973722972488776619039892837094864094413547420926041829224868004606606238506209399812240504625627075156488518076503660921453821558054534202145363831180069293186572233550218342872026933447848735015544441268641<255>

9881683130173789281030678828774077078116160043976755041471263262247544888824593247595641111420598616849989220630770796824319169908248351346365985581111060797188841732993310793172619549217559099606165980520236279037138315227879926135911516420756442528524964659275609<265>

129129347605520691495337961926342556239<39>

76525463137640105350535437785006039673518048245122663072308979672015089069601519974415646471781388598700588978871112521420934833661699554300478220492849140860936721505873358853984563179139993492814436608092110719302235813519831<227>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 9881683130173789281030678828774077078116160043976755041471263262247544888824593247595641111420598616849989220630770796824319169908248351346365985581111060797188841732993310793172619549217559099606165980520236279037138315227879926135911516420756442528524964659275609 (265 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1631548501
Step 1 took 25638ms
Step 2 took 10123ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2449626775
Step 1 took 26422ms
Step 2 took 8622ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1005492671
Step 1 took 25049ms
Step 2 took 10231ms
Run 9 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:338231077
Step 1 took 27317ms
Step 2 took 10260ms
** Factor found in step 2: 129129347605520691495337961926342556239
Found prime factor of 39 digits: 129129347605520691495337961926342556239
Composite cofactor 76525463137640105350535437785006039673518048245122663072308979672015089069601519974415646471781388598700588978871112521420934833661699554300478220492849140860936721505873358853984563179139993492814436608092110719302235813519831 has 227 digits

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

1161251296368086665435765113338534765237855924392723404086300562414147451546390932540264335318366243133113862472782449148269646817107182396054355585364126217645067235893636264140098067478351110922162139590434884947012962054127737944644174911<241>

703793980052846437331252769794433385899316602083313678108345957763549710938859626737621756494946260734955310354322546858985646286351534147674790189983457317944769957145168991962897722384481591568941791652938790133008297390246646440332854899182399<246>

68920920192228999691545907861939579801<38>

10211616125987257340712559551590081149834032314017810549608540685302339969275551338587370582108613271069016676860807975719116604606783183315854958449482769379911970828607452610179062775886150602120674403202199<209>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 703793980052846437331252769794433385899316602083313678108345957763549710938859626737621756494946260734955310354322546858985646286351534147674790189983457317944769957145168991962897722384481591568941791652938790133008297390246646440332854899182399 (246 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3227104266
Step 1 took 13460ms
Step 2 took 8986ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3375309694
Step 1 took 24032ms
Step 2 took 8964ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:407050715
Step 1 took 11753ms
Step 2 took 4844ms
Run 36 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2416627172
Step 1 took 11747ms
Step 2 took 4823ms
** Factor found in step 2: 68920920192228999691545907861939579801
Found prime factor of 38 digits: 68920920192228999691545907861939579801
Composite cofactor 10211616125987257340712559551590081149834032314017810549608540685302339969275551338587370582108613271069016676860807975719116604606783183315854958449482769379911970828607452610179062775886150602120674403202199 has 209 digits

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

1862355669785262286417378472550802918353887935585081562847979150502177870685156902342612821036029550430132236340094081667624402344998743260263941213432847023565302673237903230539863117324993128249683302387076242722979715904418360767695637829937138708532457<256>

3872159795253280850537087501476294384061<40>
480960437652455977141324194319611005001491484365393132172745186563358364146644668909773384337803880889454700907197664422335390839284155727107440748579767279494430270413477541301655542844029120303105871532279204910237<216>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 1862355669785262286417378472550802918353887935585081562847979150502177870685156902342612821036029550430132236340094081667624402344998743260263941213432847023565302673237903230539863117324993128249683302387076242722979715904418360767695637829937138708532457 (256 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3058687039
Step 1 took 15067ms
Step 2 took 5296ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:513712324
Step 1 took 13448ms
Step 2 took 5288ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:359912002
Step 1 took 13438ms
Step 2 took 5249ms
Run 48 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3392979082
Step 1 took 13182ms
Step 2 took 5250ms
** Factor found in step 2: 3872159795253280850537087501476294384061
Found prime factor of 40 digits: 3872159795253280850537087501476294384061
Prime cofactor 480960437652455977141324194319611005001491484365393132172745186563358364146644668909773384337803880889454700907197664422335390839284155727107440748579767279494430270413477541301655542844029120303105871532279204910237 has 216 digits

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

38940623118858840741503540952616235794220606656819897093527549114804533051843398280126288022908492571277912207830294157266107313610977815130279106901614460770628599485494172355496684090260383820045337242117084804223605149415477011451883288043639713981<251>

1181284433184541762174769775204085736116137853379981501588450556963043390839264889210600394096593879438613423412554791490730687256202999959786061849036876181284433184541762174769775204085736116137853379981501588450556963043390839264889210600394096593879438613423412554791490730687256203<286>

225392509625967258346008704324100799614215546139639623642513512416011142958008525013527312015412122259688331594861732348849692427574901524738601696234582376713645035983201555221662581500280087105267968427912487024085932739516615988480266211402979<246>

32638888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<293>

51919640137590896733650108127594262142068753833530178942270920685259432813711984677650578551005481733816293266440717837878328895481467471264162252405541325756333181133016749713654796917274558981669193287508013500730169765476648092410671494296555195156567521250773<263>

661098922418105979882355627463821545655011535741912585009481054288521883792355810971390502781351581023768801941527098115828905085454089360125243783831547315577325991510183098498037726873945170526143086208766592976675796254907893572697687276033695782016712821663418500785383058263<279>

8186467305253077843551142160230847437355296196454745263932206292521849747776165793251330121173985816672633232293223137719127945905284321142220336527791345231097427373213473057467296414737000970393<196>

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