20486111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<119>

1091448352956626892414177459649924799317<40>
3467308158851507132413582425407782228979<40>
5413322393614686007423029522664319759977<40>

Nice split!

N=20486111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 119 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=1091448352956626892414177459649924799317 (pp40)
 r2=3467308158851507132413582425407782228979 (pp40)
 r3=5413322393614686007423029522664319759977 (pp40)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.68 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 20486111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 500000000000000000000000000000
deg: 4
c4: 59
c0: -20
skew: 0.76
# Murphy_E = 4.292e-08
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2

Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61723 x 61949
Total sieving time: 0.66 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120.000,4,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 0.68 hours.
 --------- CPU info (if available) ----------

127513955694419443773610687346790916877828999781361045576380601455460994800657784664967857392019583455314568887<111>

573583745724245008554918420971400719375651263<45>
222310964431901460939720404674493412992346946699917812582846839049<66>

N=127513955694419443773610687346790916877828999781361045576380601455460994800657784664967857392019583455314568887
  ( 111 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=573583745724245008554918420971400719375651263 (pp45)
 r2=222310964431901460939720404674493412992346946699917812582846839049 (pp66)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.00 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 127513955694419443773610687346790916877828999781361045576380601455460994800657784664967857392019583455314568887
m: 5000000000000000000000000000000
deg: 4
c4: 59
c0: -20
skew: 0.76
# Murphy_E = 2.767e-08
type: snfs
lss: 1
rlim: 830000
alim: 830000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 830000/830000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [415000, 790001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 72228 x 72454
Total sieving time: 0.99 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124.000,4,0,0,0,0,0,0,0,0,830000,830000,25,25,46,46,2.2,2.2,75000
total time: 1.00 hours.
 --------- CPU info (if available) ----------

2916388374196028843208859836844922722386401170926041552526693482967644565576180222932075079693703613835389<106>

1263280345524340255082139961858824723749256838303<49>
2308583668327037490383655578270164713704451133082172664163<58>

Number: 1
N=2916388374196028843208859836844922722386401170926041552526693482967644565576180222932075079693703613835389
  ( 106 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=1263280345524340255082139961858824723749256838303 (pp49)
 r2=2308583668327037490383655578270164713704451133082172664163 (pp58)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.91 hours.
Scaled time: 22.58 units (timescale=7.770).
Factorization parameters were as follows:
n: 2916388374196028843208859836844922722386401170926041552526693482967644565576180222932075079693703613835389
m: 1000000000000000000000000000000000
deg: 4
c4: 59
c0: -32
skew: 0.86
# Murphy_E = 8.595e-09
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 154804 x 155029
Total sieving time: 2.88 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 2.91 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

5742751219761011721876335250511495186362947791188406108406932971775728825903890877985578692745348997859723886505565946633061097<127>

1903838796926345211783796136289652667<37>
3016406236196259469533967770548921054418304742399860826395608983077710991282772695042405291<91>

Number: 1
N=5742751219761011721876335250511495186362947791188406108406932971775728825903890877985578692745348997859723886505565946633061097
  ( 127 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=1903838796926345211783796136289652667 (pp37)
 r2=3016406236196259469533967770548921054418304742399860826395608983077710991282772695042405291 (pp91)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.83 hours.
Scaled time: 53.15 units (timescale=7.782).
Factorization parameters were as follows:
n: 5742751219761011721876335250511495186362947791188406108406932971775728825903890877985578692745348997859723886505565946633061097
m: 100000000000000000000000000000000000
deg: 4
c4: 1475
c0: -8
skew: 0.27
# Murphy_E = 2.715e-09
type: snfs
lss: 1
rlim: 1700000
alim: 1700000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1700000/1700000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [850000, 1550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 285824 x 286049
Total sieving time: 6.78 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,143.000,4,0,0,0,0,0,0,0,0,1700000,1700000,26,26,48,48,2.3,2.3,100000
total time: 6.83 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

148841303807974073534706869967690145626243374553853272841366319118587665621760594808364241601378765522760652658136949<117>

143781416551252738427173180372363072096819<42>
1035191524593984460451220914107385436611267197460789946209006901916939321271<76>

Number: 1
N=148841303807974073534706869967690145626243374553853272841366319118587665621760594808364241601378765522760652658136949
  ( 117 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=143781416551252738427173180372363072096819 (pp42)
 r2=1035191524593984460451220914107385436611267197460789946209006901916939321271 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.06 hours.
Scaled time: 47.32 units (timescale=7.813).
Factorization parameters were as follows:
n: 148841303807974073534706869967690145626243374553853272841366319118587665621760594808364241601378765522760652658136949
m: 100000000000000000000000000000
deg: 5
c5: 7375
c0: -4
skew: 0.22
# Murphy_E = 1.495e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 348203 x 348428
Total sieving time: 6.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 6.06 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

5864649744420053555968176446449872603281119077799857006475398951891725263211767907227212067599569959699890898478964344574796087911259033<136>

6533018131445645611677990976138369278159740990657897823542521<61>
897693780488912630887456940967946857574458638821741002367013338457474055073<75>

Number: 1
N=5864649744420053555968176446449872603281119077799857006475398951891725263211767907227212067599569959699890898478964344574796087911259033
  ( 136 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=6533018131445645611677990976138369278159740990657897823542521 (pp61)
 r2=897693780488912630887456940967946857574458638821741002367013338457474055073 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.63 hours.
Scaled time: 98.08 units (timescale=7.764).
Factorization parameters were as follows:
n: 5864649744420053555968176446449872603281119077799857006475398951891725263211767907227212067599569959699890898478964344574796087911259033
m: 10000000000000000000000000000000
deg: 5
c5: 295
c0: -16
skew: 0.56
# Murphy_E = 7.934e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 412986 x 413211
Total sieving time: 12.55 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,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 12.63 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

2278087159003094973691506583088081419891477426043591573092730756390792813746102092480664121312777703458080088809011585211474877304233421724968461698031<151>

15176604754714148397943462993590954574170570733418123710707343<62>
150105191234915492340830222343574887110925812295530541469226790979626897143229627184352417<90>

Number: n
N=2278087159003094973691506583088081419891477426043591573092730756390792813746102092480664121312777703458080088809011585211474877304233421724968461698031  ( 151 digits)
SNFS difficulty: 158 digits.
Divisors found:

Thu Oct 13 20:00:37 2022  p62 factor: 15176604754714148397943462993590954574170570733418123710707343
Thu Oct 13 20:00:37 2022  p90 factor: 150105191234915492340830222343574887110925812295530541469226790979626897143229627184352417
Thu Oct 13 20:00:37 2022  elapsed time 00:07:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.307).
Factorization parameters were as follows:
#
# N = 59x10^158-32 = 65(157)2
#
n: 2278087159003094973691506583088081419891477426043591573092730756390792813746102092480664121312777703458080088809011585211474877304233421724968461698031
m: 10000000000000000000000000000000
deg: 5
c5: 7375
c0: -4
skew: 0.22
# Murphy_E = 6.208e-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 2295593 hash collisions in 17915946 relations (16709691 unique)
Msieve: matrix is 601369 x 601612 (81.5 MB)

Sieving start time : 2022/10/13 19:16:39
Sieving end time  : 2022/10/13 19:52:56

Total sieving time: 0hrs 36min 17secs.

Total relation processing time: 0hrs 2min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 22sec.

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) ----------

566138359529578767290491544810007508278199324895364143088047835888188394605796829024138260960592199756337973265592035923939383583<129>

137015208089355178213913821250653671020231471581915623643<57>
4131938106902473931064347896626868198826687500082387377653284675734829581<73>

566138359529578767290491544810007508278199324895364143088047835888188394605796829024138260960592199756337973265592035923939383583=137015208089355178213913821250653671020231471581915623643*4131938106902473931064347896626868198826687500082387377653284675734829581

cado polynomial
n: 566138359529578767290491544810007508278199324895364143088047835888188394605796829024138260960592199756337973265592035923939383583
skew: 0.88
type: snfs
c0: -32
c5: 59
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 59*x^5-32
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3500000
tasks.lim1 = 3500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4131938106902473931064347896626868198826687500082387377653284675734829581 137015208089355178213913821250653671020231471581915623643
Info:Square Root: Total cpu/real time for sqrt: 140.27/43.7006
Info:Quadratic Characters: Total cpu/real time for characters: 13.25/5.23596
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.41/86.6051
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.30000000000001s
Info:Square Root: Total cpu/real time for sqrt: 140.27/43.7006
Info:Generate Factor Base: Total cpu/real time for makefb: 1.53/0.859858
Info:Generate Free Relations: Total cpu/real time for freerel: 60.53/17.2748
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.95/46.023
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 45.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.25/71.8176
Info:Filtering - Merging: Merged matrix has 405356 rows and total weight 68953417 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 83.32/23.1783
Info:Filtering - Merging: Total cpu/real time for replay: 13.12/10.97
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11654494
Info:Lattice Sieving: Average J: 1894.71 for 238875 special-q, max bucket fill -bkmult 1.0,1s:1.246010
Info:Lattice Sieving: Total time: 29769.5s
Info:Linear Algebra: Total cpu/real time for bwc: 2374.76/617.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1477.58, WCT time 380.31, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Linear Algebra: Lingen CPU time 66.02, WCT time 16.82
Info:Linear Algebra: Mksol: CPU time 795.27,  WCT time 205.24, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 57130.3/15970
Info:root: Cleaning up computation data in /tmp/cado.vpatoc33
4131938106902473931064347896626868198826687500082387377653284675734829581 137015208089355178213913821250653671020231471581915623643

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)

6632179799327848392258993282956436949253742071130934559704261937775127333018227767133746518655909460040378319111207426863919682261054730311807481228333<151>

73009948465089385247644428707521409141<38>
5352671870895026949283522950029702115720706164347<49>
16970851313057169708637577067177546762984912138233894029966536379<65>

Number: n
N=90839398448543045278710283088128876867050072700061005437294491776767298663144179427611629572767586295473928279513  ( 113 digits)
Divisors found:

Fri Oct  7 23:57:05 2022  p49 factor: 5352671870895026949283522950029702115720706164347
Fri Oct  7 23:57:05 2022  p65 factor: 16970851313057169708637577067177546762984912138233894029966536379
Fri Oct  7 23:57:05 2022  elapsed time 00:04:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 9x10^163-32 = 65(162)2
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 6632179799327848392258993282956436949253742071130934559704261937775127333018227767133746518655909460040378319111207426863919682261054730311807481228333 (151 digits)
# Using B1=17820000, B2=58560416470, polynomial Dickson(12), sigma=1:2818058472
# Step 1 took 34692ms
# Step 2 took 14753ms
# ********** Factor found in step 2: 73009948465089385247644428707521409141
# Found prime factor of 38 digits: 73009948465089385247644428707521409141
# Composite cofactor 90839398448543045278710283088128876867050072700061005437294491776767298663144179427611629572767586295473928279513 has 113 digits
#

n: 90839398448543045278710283088128876867050072700061005437294491776767298663144179427611629572767586295473928279513

Y0: -14993295756464031389331
Y1: 14355959968607
c0: -78387625718464988652197969540
c1: 1333115869264212556943262
c2: 6997512911891070684
c3: -84797937038577
c4: -113144554
c5: 120

# skew 283182.89, size 8.258e-11, alpha -6.541, combined = 7.023e-10 rroots = 5

skew: 283182.89

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 465712 hash collisions in 5970821 relations (5744038 unique)
Msieve: matrix is 344414 x 344639 (120.8 MB)

Sieving start time : 2022/10/07 23:23:35
Sieving end time  : 2022/10/07 23:52:03

Total sieving time: 0hrs 28min 28secs.

Total relation processing time: 0hrs 2min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

22090605258914461626621841415978828181270567888451677362392738310318862926533617355342521684855960983<101>

436632745043756873045198671943700073894159154467<48>
50593102578004463820397589404613723631835260802756349<53>

22090605258914461626621841415978828181270567888451677362392738310318862926533617355342521684855960983=436632745043756873045198671943700073894159154467*50593102578004463820397589404613723631835260802756349

cado polynomial
n: 22090605258914461626621841415978828181270567888451677362392738310318862926533617355342521684855960983
skew: 357518.925
c0: 907883217168770349750565098
c1: -1748428991407183411363
c2: -20714873726445781
c3: 60245766210
c4: 52920
Y0: -1258009649112295394051745
Y1: 7992698598131
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.450e-06
# f(x) = 52920*x^4+60245766210*x^3-20714873726445781*x^2-1748428991407183411363*x+907883217168770349750565098
# g(x) = 7992698598131*x-1258009649112295394051745

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: 50593102578004463820397589404613723631835260802756349 436632745043756873045198671943700073894159154467
Info:Square Root: Total cpu/real time for sqrt: 82.48/24.3161
Info:Filtering - Singleton removal: Total cpu/real time for purge: 9.71/10.0591
Info:Filtering - Merging: Merged matrix has 195835 rows and total weight 33321883 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.24/11.6624
Info:Filtering - Merging: Total cpu/real time for replay: 6.86/5.69723
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2386182
Info:Lattice Sieving: Average J: 1010.43 for 91250 special-q, max bucket fill -bkmult 1.0,1s:1.333680
Info:Lattice Sieving: Total time: 3381.86s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 66.11
Info:Polynomial Selection (root optimized): Rootsieve time: 65.76
Info:Linear Algebra: Total cpu/real time for bwc: 582.82/155
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 346.74, WCT time 90.96, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Linear Algebra: Lingen CPU time 28.09, WCT time 7.2
Info:Linear Algebra: Mksol: CPU time 190.47,  WCT time 50.01, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 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): 5747/32.870/38.308/39.130/0.690
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3283/32.700/36.802/39.120/0.999
Info:Polynomial Selection (size optimized): Total time: 103.5
Info:Generate Factor Base: Total cpu/real time for makefb: 0.74/0.247209
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 19.86/18.7594
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 14.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 24.04/6.74368
Info:Square Root: Total cpu/real time for sqrt: 82.48/24.3161
Info:Quadratic Characters: Total cpu/real time for characters: 6.65/2.63364
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.33/8.54618
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 6981.67/2051.95
Info:root: Cleaning up computation data in /tmp/cado.e1esyk0a
50593102578004463820397589404613723631835260802756349 436632745043756873045198671943700073894159154467

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)

34436434566410356079943078939243144012487626879958227926193549624942828125293521421593103574231609473452881597791991219696208594649<131>

152084781429625750865740615498862653764968296766821821821<57>
226429194576218269612463211647452675467611128538513624985937727103876509069<75>

Number: 1
N=34436434566410356079943078939243144012487626879958227926193549624942828125293521421593103574231609473452881597791991219696208594649
  ( 131 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=152084781429625750865740615498862653764968296766821821821 (pp57)
 r2=226429194576218269612463211647452675467611128538513624985937727103876509069 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 22.81 hours.
Scaled time: 179.02 units (timescale=7.849).
Factorization parameters were as follows:
n: 34436434566410356079943078939243144012487626879958227926193549624942828125293521421593103574231609473452881597791991219696208594649
m: 1000000000000000000000000000000000
deg: 5
c5: 59
c0: -32
skew: 0.88
# Murphy_E = 3.309e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 725512 x 725737
Total sieving time: 22.65 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 22.81 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

94381325095746865731297987557837267731227679820460871549542340829961586214854857480664932225260692500390225969516677300781923579980767952834399539304187<152>

410791479086025714681027686795256751981999<42>
457079114644914811210066107063769845277517<42>
502658772539146331980354635675372763418374860016049810285656706668489<69>

Number: n
N=206487940646922087260003077002361536556843777963935385869048254633879069495380387601806464883701196510988529511  ( 111 digits)
Divisors found:

Fri Oct  7 21:41:38 2022  p42 factor: 410791479086025714681027686795256751981999
Fri Oct  7 21:41:38 2022  p69 factor: 502658772539146331980354635675372763418374860016049810285656706668489
Fri Oct  7 21:41:38 2022  elapsed time 00:05:03 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 59x10^167-32 = 65(166)2
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 94381325095746865731297987557837267731227679820460871549542340829961586214854857480664932225260692500390225969516677300781923579980767952834399539304187 (152 digits)
# Using B1=19520000, B2=70271979970, polynomial Dickson(12), sigma=1:3305842457
# Step 1 took 38384ms
# Step 2 took 17127ms
# ********** Factor found in step 2: 457079114644914811210066107063769845277517
# Found prime factor of 42 digits: 457079114644914811210066107063769845277517
# Composite cofactor 206487940646922087260003077002361536556843777963935385869048254633879069495380387601806464883701196510988529511 has 111 digits
#

n: 206487940646922087260003077002361536556843777963935385869048254633879069495380387601806464883701196510988529511

Y0: -3611785323980906065246
Y1: 2760180098429
c0: -15409545893374116029083273125
c1: 293188948404482387381140
c2: 1150354592424779952
c3: -32805347580308
c4: -54871595
c5: 336

# skew 174099.43, size 1.533e-10, alpha -6.406, combined = 9.875e-10 rroots = 3

skew: 174099.43

type: gnfs
rlim: 2600000
alim: 2600000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 435623 hash collisions in 6057289 relations (5875726 unique)
Msieve: matrix is 310921 x 311146 (109.5 MB)

Sieving start time : 2022/10/07 21:18:52
Sieving end time  : 2022/10/07 21:36:22

Total sieving time: 0hrs 17min 30secs.

Total relation processing time: 0hrs 2min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

10611947536858524676805918819729447793557445616064871343923868203885137979624772853732266883946113585837050140545065488613815504514259474281509763487039<152>

3420439383596991812694715015835458282775414765165309<52>
3102510042349828592977564133291243824912067428554309451343227688955880794093757439988018336679508971<100>

Number: n
N=10611947536858524676805918819729447793557445616064871343923868203885137979624772853732266883946113585837050140545065488613815504514259474281509763487039  ( 152 digits)
SNFS difficulty: 168 digits.
Divisors found:

Thu Oct 13 13:43:43 2022  p52 factor: 3420439383596991812694715015835458282775414765165309
Thu Oct 13 13:43:43 2022  p100 factor: 3102510042349828592977564133291243824912067428554309451343227688955880794093757439988018336679508971
Thu Oct 13 13:43:43 2022  elapsed time 00:10:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 59x10^168-32 = 65(167)2
#
n: 10611947536858524676805918819729447793557445616064871343923868203885137979624772853732266883946113585837050140545065488613815504514259474281509763487039
m: 1000000000000000000000000000000000
deg: 5
c5: 7375
c0: -4
skew: 0.22
# Murphy_E = 2.528e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 29500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1434573 hash collisions in 13948008 relations (13379548 unique)
Msieve: matrix is 652807 x 653032 (227.2 MB)

Sieving start time : 2022/10/13 10:48:49
Sieving end time  : 2022/10/13 13:32:06

Total sieving time: 2hrs 43min 17secs.

Total relation processing time: 0hrs 5min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 39sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

31506491819459549007060167106606920023616864906828295141533082305231306654514213339204910794194485328696885088047921<116>

16088312156188763077435496416388689292414085481<47>
1958346625400341061816241119030181234114526991594518157241395128687241<70>

31506491819459549007060167106606920023616864906828295141533082305231306654514213339204910794194485328696885088047921=16088312156188763077435496416388689292414085481*1958346625400341061816241119030181234114526991594518157241395128687241

cado polynomial
n: 31506491819459549007060167106606920023616864906828295141533082305231306654514213339204910794194485328696885088047921
skew: 14162.62
c0: -5552296593478288283264822
c1: -9979293031863345520484
c2: -7617670186370025
c3: 53557195350431
c4: -212811658
c5: 22440
Y0: 2123427551587645656684
Y1: 1494251977454754109
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.035e-06
# f(x) = 22440*x^5-212811658*x^4+53557195350431*x^3-7617670186370025*x^2-9979293031863345520484*x-5552296593478288283264822
# g(x) = 1494251977454754109*x+2123427551587645656684

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: 1958346625400341061816241119030181234114526991594518157241395128687241 16088312156188763077435496416388689292414085481
Info:Square Root: Total cpu/real time for sqrt: 145.92/43.947
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): 21709/33.320/41.246/46.170/1.076
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17063/32.730/36.482/41.710/0.830
Info:Polynomial Selection (size optimized): Total time: 1809.14
Info:Quadratic Characters: Total cpu/real time for characters: 16.63/6.57317
Info:Generate Factor Base: Total cpu/real time for makefb: 4.07/1.15409
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 116.15/124.018
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 92.80000000000001s
Info:Generate Free Relations: Total cpu/real time for freerel: 64.77/16.8239
Info:Square Root: Total cpu/real time for sqrt: 145.92/43.947
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.29/29.2098
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.54/99.5528
Info:Filtering - Merging: Merged matrix has 451345 rows and total weight 70404157 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 72.29/21.224
Info:Filtering - Merging: Total cpu/real time for replay: 15.3/12.4958
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7172454
Info:Lattice Sieving: Average J: 1892.91 for 152554 special-q, max bucket fill -bkmult 1.0,1s:1.252330
Info:Lattice Sieving: Total time: 17101.5s
Info:Linear Algebra: Total cpu/real time for bwc: 2756.09/709.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1709.77, WCT time 436.91, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14208 iterations)
Info:Linear Algebra: Lingen CPU time 69.34, WCT time 17.64
Info:Linear Algebra: Mksol: CPU time 938.3,  WCT time 239.44, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7168 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 307.42
Info:Polynomial Selection (root optimized): Rootsieve time: 306.31
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 36825/10071.8
Info:root: Cleaning up computation data in /tmp/cado.m4i1mcn9
1958346625400341061816241119030181234114526991594518157241395128687241 16088312156188763077435496416388689292414085481

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)

1074936085791282503612525135935946356241874490306211425016531470816998890350742010087326368402504646495594261126865271251558253362009063956671292663906267293<157>

697931297777403141632904784753325681<36>
1540174640705281195127303741040917700193161214995474927303118961762151678818805899609538557811914689921450504541701270253<121>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1074936085791282503612525135935946356241874490306211425016531470816998890350742010087326368402504646495594261126865271251558253362009063956671292663906267293 (157 digits)
Using B1=21290000, B2=96186180106, polynomial Dickson(12), sigma=1:2421107129
Step 1 took 50089ms
Step 2 took 19205ms
********** Factor found in step 2: 697931297777403141632904784753325681
Found prime factor of 36 digits: 697931297777403141632904784753325681
Prime cofactor 1540174640705281195127303741040917700193161214995474927303118961762151678818805899609538557811914689921450504541701270253 has 121 digits

9164803911441269436335573141957367570308847049298459197892119011548191226408844542245822449129071338860752744382794983013<121>

5948889179857106602444149478091179974319273<43>
1540590795080403513129131964359855436400822651343569432285996196489879137580381<79>

9164803911441269436335573141957367570308847049298459197892119011548191226408844542245822449129071338860752744382794983013=5948889179857106602444149478091179974319273*1540590795080403513129131964359855436400822651343569432285996196489879137580381

cado polynomial
n: 9164803911441269436335573141957367570308847049298459197892119011548191226408844542245822449129071338860752744382794983013
skew: 6376.193
c0: 4451299438199494028634528
c1: -7157630957300334688337
c2: -7938140313564020034
c3: 394842230344343
c4: 107426481960
c5: -2700000
Y0: -210500538865575118468344
Y1: 76396904979501869
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.278e-06
# f(x) = -2700000*x^5+107426481960*x^4+394842230344343*x^3-7938140313564020034*x^2-7157630957300334688337*x+4451299438199494028634528
# g(x) = 76396904979501869*x-210500538865575118468344

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: 5948889179857106602444149478091179974319273 1540590795080403513129131964359855436400822651343569432285996196489879137580381
Info:Square Root: Total cpu/real time for sqrt: 482.77/127.033
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1911.66
Info:Polynomial Selection (root optimized): Rootsieve time: 1909.09
Info:Generate Free Relations: Total cpu/real time for freerel: 128.39/86.9446
Info:Linear Algebra: Total cpu/real time for bwc: 5856.07/1543.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3563.67, WCT time 937.13, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Linear Algebra: Lingen CPU time 134.36, WCT time 34.28
Info:Linear Algebra: Mksol: CPU time 2076.98,  WCT time 542.93, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 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): 20079/35.490/43.277/47.670/1.030
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16191/33.270/38.312/43.740/0.857
Info:Polynomial Selection (size optimized): Total time: 2285.96
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13760144
Info:Lattice Sieving: Average J: 1894.65 for 307809 special-q, max bucket fill -bkmult 1.0,1s:1.278930
Info:Lattice Sieving: Total time: 40522.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 167.16/154.714
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 134.10000000000002s
Info:Square Root: Total cpu/real time for sqrt: 482.77/127.033
Info:Quadratic Characters: Total cpu/real time for characters: 24.6/9.56442
Info:Generate Factor Base: Total cpu/real time for makefb: 5.18/3.99816
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.51/57.7708
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.50000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.21/98.5129
Info:Filtering - Merging: Merged matrix has 270878 rows and total weight 42009225 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.91/19.4736
Info:Filtering - Merging: Total cpu/real time for replay: 19.18/15.4783
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 79399.6/24529.1
Info:root: Cleaning up computation data in /tmp/cado.mw6gn1h0
5948889179857106602444149478091179974319273 1540590795080403513129131964359855436400822651343569432285996196489879137580381

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)

16087101804797175272261979163872068714556123269397389875255830854766233815367064251179464344351100050025702873313688457936569807736033947<137>

169893877509251790766149575737485842022595320019803109<54>
94689120294644704565443559859434857222528165361126578656964507552694704536314285183<83>

16087101804797175272261979163872068714556123269397389875255830854766233815367064251179464344351100050025702873313688457936569807736033947=169893877509251790766149575737485842022595320019803109*94689120294644704565443559859434857222528165361126578656964507552694704536314285183

cado polynomial
n: 16087101804797175272261979163872068714556123269397389875255830854766233815367064251179464344351100050025702873313688457936569807736033947
skew: 0.70
type: snfs
c0: -10
c5: 59
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 59*x^5-10
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5800000
tasks.lim1 = 5800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
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: 94689120294644704565443559859434857222528165361126578656964507552694704536314285183 169893877509251790766149575737485842022595320019803109
Info:Square Root: Total cpu/real time for sqrt: 157.13/50.3171
Info:Generate Free Relations: Total cpu/real time for freerel: 121.02/31.4975
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.63/94.7681
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 94.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 149.16/140.102
Info:Filtering - Merging: Merged matrix has 759864 rows and total weight 129759011 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 175.61/48.3231
Info:Filtering - Merging: Total cpu/real time for replay: 25.2/21.2091
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22421471
Info:Lattice Sieving: Average J: 1893.32 for 847392 special-q, max bucket fill -bkmult 1.0,1s:1.185630
Info:Lattice Sieving: Total time: 131658s
Info:Linear Algebra: Total cpu/real time for bwc: 8851.91/2277.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5564.49, WCT time 1424.05, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Linear Algebra: Lingen CPU time 131.41, WCT time 33.4
Info:Linear Algebra: Mksol: CPU time 3037.22,  WCT time 776.2, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.49/1.44893
Info:Quadratic Characters: Total cpu/real time for characters: 24.36/9.65787
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 209.82/174.188
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 161.0s
Info:Square Root: Total cpu/real time for sqrt: 157.13/50.3171
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 254097/68942.3
Info:root: Cleaning up computation data in /tmp/cado._jzserv3
94689120294644704565443559859434857222528165361126578656964507552694704536314285183 169893877509251790766149575737485842022595320019803109

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)

2715910262642332110713391370954674679982912781534019768144121849544095334894751572466009692577371219821173420537068952818654528849411522088175939428756610249385007438832177<172>

76213367294337089658730253656157930369754580967<47>
16782765349198473818833973603154817966251385239013951547<56>
2123345878159452108050244923229571123978271188263041657002268659047173<70>

Number: n
N=2715910262642332110713391370954674679982912781534019768144121849544095334894751572466009692577371219821173420537068952818654528849411522088175939428756610249385007438832177  ( 172 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sat Oct  8 14:05:47 2022  found factor: 76213367294337089658730253656157930369754580967
Sat Oct  8 14:06:54 2022  p47 factor: 76213367294337089658730253656157930369754580967
Sat Oct  8 14:06:54 2022  p56 factor: 16782765349198473818833973603154817966251385239013951547
Sat Oct  8 14:06:54 2022  p70 factor: 2123345878159452108050244923229571123978271188263041657002268659047173
Sat Oct  8 14:06:54 2022  elapsed time 00:18:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 9x10^176-32 = 65(175)2
#
n: 2715910262642332110713391370954674679982912781534019768144121849544095334894751572466009692577371219821173420537068952818654528849411522088175939428756610249385007438832177
m: 100000000000000000000000000000000000
deg: 5
c5: 295
c0: -16
skew: 0.56
# Murphy_E = 1.296e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1395911 hash collisions in 11994703 relations (11280955 unique)
Msieve: matrix is 931597 x 931822 (323.8 MB)

Sieving start time : 2022/10/08 12:56:15
Sieving end time  : 2022/10/08 13:47:41

Total sieving time: 0hrs 51min 26secs.

Total relation processing time: 0hrs 13min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 14sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

140916611808994882555101922805358171548216739561856686258158931997356154830859037295341635048251587881508406937401654717017105367067<132>

14432767165750491454141349248772001061<38>

9763658638060440171043540665873105546771774153956099995290493940561042311387941639497747805247<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:703836409
Step 1 took 2562ms
Step 2 took 2313ms
********** Factor found in step 2: 14432767165750491454141349248772001061
Found prime factor of 38 digits: 14432767165750491454141349248772001061
Composite cofactor 9763658638060440171043540665873105546771774153956099995290493940561042311387941639497747805247 has 94 digits

GMP-ECM

9763658638060440171043540665873105546771774153956099995290493940561042311387941639497747805247<94>

55224404699426273343142890099232880539432253<44>
176799708230478668728500130851371964979334796787499<51>

N=9763658638060440171043540665873105546771774153956099995290493940561042311387941639497747805247
  ( 94 digits)
Divisors found:
 r1=55224404699426273343142890099232880539432253 (pp44)
 r2=176799708230478668728500130851371964979334796787499 (pp51)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.93 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 9763658638060440171043540665873105546771774153956099995290493940561042311387941639497747805247
skew: 343123.36
c0: 52053310727147380501203022
c1: 344087504803994005517
c2: -1261254950166119
c3: -3669216345
c4: 10500
Y0: -31053610715510515477233
Y1: 5141573304181
rlim: 1440000
alim: 1440000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 20000
Factor base limits: 1440000/1440000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [720000, 1100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 134913 x 135141
Total sieving time: 0.91 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1440000,1440000,25,25,50,50,2.5,2.5,60000
total time: 0.93 hours.
 --------- CPU info (if available) ----------

170650754380460245663041234775638800728973744542646722626230652253793190259740860755463369439562097437762802161745908778321083501554483753122619566595675952844395204470841513<174>

5466451522140792739048769245884160876337<40>
31217830010798182629280086212255205405095198570791956824367696618135161735381638241871429514451639595092756000214954538390739976973049<134>

Number: n
N=170650754380460245663041234775638800728973744542646722626230652253793190259740860755463369439562097437762802161745908778321083501554483753122619566595675952844395204470841513  ( 174 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sat Oct  8 12:54:24 2022  p40 factor: 5466451522140792739048769245884160876337
Sat Oct  8 12:54:24 2022  p134 factor: 31217830010798182629280086212255205405095198570791956824367696618135161735381638241871429514451639595092756000214954538390739976973049
Sat Oct  8 12:54:24 2022  elapsed time 00:19:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 59x10^179-32 = 65(178)2
#
n: 170650754380460245663041234775638800728973744542646722626230652253793190259740860755463369439562097437762802161745908778321083501554483753122619566595675952844395204470841513
m: 500000000000000000000000000000000000
deg: 5
c5: 59
c0: -10
skew: 0.70
# Murphy_E = 9.065e-11
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1101614 hash collisions in 11565648 relations (11180876 unique)
Msieve: matrix is 985985 x 986210 (342.5 MB)

Sieving start time : 2022/10/08 10:21:34
Sieving end time  : 2022/10/08 12:34:00

Total sieving time: 2hrs 12min 26secs.

Total relation processing time: 0hrs 15min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,6100000,6100000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4016884531590413943355119825708061002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061<178>

573899711867142614085373624786383027427<39>
6999279575383930373929626389759421455493383453318713457744855500160974225460860093951539577148564298542084192078605551211811869484153318143<139>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4016884531590413943355119825708061002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061002178649237472766884531590413943355119825708061 (178 digits)
Using B1=18770000, B2=70271005360, polynomial Dickson(12), sigma=1:312778835
Step 1 took 50939ms
Step 2 took 20698ms
********** Factor found in step 2: 573899711867142614085373624786383027427
Found prime factor of 39 digits: 573899711867142614085373624786383027427
Prime cofactor 6999279575383930373929626389759421455493383453318713457744855500160974225460860093951539577148564298542084192078605551211811869484153318143 has 139 digits

112925197325086939573859869286659062565703952244013213615162281770413864813667192361891786868633425149917845995735847700702046945343038676382433745769591977<156>

5188702495763621564062933506194293869984752499188041917468751<61>
21763667779620448935421191617807584434459869447427830345382949665189009607972552035575207310727<95>

Number: n
N=112925197325086939573859869286659062565703952244013213615162281770413864813667192361891786868633425149917845995735847700702046945343038676382433745769591977  ( 156 digits)
SNFS difficulty: 185 digits.
Divisors found:

Thu Oct 13 03:47:50 2022  p61 factor: 5188702495763621564062933506194293869984752499188041917468751
Thu Oct 13 03:47:50 2022  p95 factor: 21763667779620448935421191617807584434459869447427830345382949665189009607972552035575207310727
Thu Oct 13 03:47:50 2022  elapsed time 00:38:06 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 59x10^184-32 = 65(183)2
#
n: 112925197325086939573859869286659062565703952244013213615162281770413864813667192361891786868633425149917845995735847700702046945343038676382433745769591977
m: 5000000000000000000000000000000000000
deg: 5
c5: 59
c0: -10
skew: 0.70
# Murphy_E = 5.68e-11
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1209627 hash collisions in 12277615 relations (11824808 unique)
Msieve: matrix is 1332688 x 1332914 (463.9 MB)

Sieving start time : 2022/10/13 00:32:39
Sieving end time  : 2022/10/13 03:09:24

Total sieving time: 2hrs 36min 45secs.

Total relation processing time: 0hrs 31min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 12sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8600000,8600000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

7160472251349566973474698046526078682667288050021360052817585148937822828070993048273719367742436599479591440444289098605771097906714823876655404093362849042681269175501961241213251<181>

33065136394124306762918475789227143405805123<44>
64026091525294518928020340855503899631012531049<47>
3382317373937355689742124825259069419579289462306896726055614879307814684797727220224906713<91>

Number: n
N=7160472251349566973474698046526078682667288050021360052817585148937822828070993048273719367742436599479591440444289098605771097906714823876655404093362849042681269175501961241213251  ( 181 digits)
SNFS difficulty: 186 digits.
Divisors found:

Mon Oct 10 10:12:50 2022  found factor: 33065136394124306762918475789227143405805123
Mon Oct 10 10:16:03 2022  p44 factor: 33065136394124306762918475789227143405805123
Mon Oct 10 10:16:03 2022  p47 factor: 64026091525294518928020340855503899631012531049
Mon Oct 10 10:16:03 2022  p91 factor: 3382317373937355689742124825259069419579289462306896726055614879307814684797727220224906713
Mon Oct 10 10:16:03 2022  elapsed time 00:37:26 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 59x10^185-32 = 65(184)2
#
n: 7160472251349566973474698046526078682667288050021360052817585148937822828070993048273719367742436599479591440444289098605771097906714823876655404093362849042681269175501961241213251
m: 10000000000000000000000000000000000000
deg: 5
c5: 59
c0: -32
skew: 0.88
# Murphy_E = 5.217e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10223179)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1309818 hash collisions in 12783684 relations (12254597 unique)
Msieve: matrix is 1277984 x 1278209 (444.6 MB)

Sieving start time : 2022/10/10 07:02:06
Sieving end time  : 2022/10/10 09:38:18

Total sieving time: 2hrs 36min 12secs.

Total relation processing time: 0hrs 28min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 50sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

11047300533198701227040971211750001253294072166928616822056336391076319581302696995822567750479698066957104708729606077821839832590327553569396955366306506163011765161<167>

478169674949473375419935965121840742285177977<45>
176543403846176678007660010494302922281924391407780893<54>
130864738879807309595664104067232537032481078620043874397850878209701<69>

Number: n
N=11047300533198701227040971211750001253294072166928616822056336391076319581302696995822567750479698066957104708729606077821839832590327553569396955366306506163011765161  ( 167 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun Oct 23 21:00:26 2022  found factor: 130864738879807309595664104067232537032481078620043874397850878209701
Sun Oct 23 21:01:55 2022  p45 factor: 478169674949473375419935965121840742285177977
Sun Oct 23 21:01:55 2022  p54 factor: 176543403846176678007660010494302922281924391407780893
Sun Oct 23 21:01:55 2022  p69 factor: 130864738879807309595664104067232537032481078620043874397850878209701
Sun Oct 23 21:01:55 2022  elapsed time 00:29:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 59x10^186-32 = 65(185)2
#
n: 11047300533198701227040971211750001253294072166928616822056336391076319581302696995822567750479698066957104708729606077821839832590327553569396955366306506163011765161
m: 10000000000000000000000000000000000000
deg: 5
c5: 295
c0: -16
skew: 0.56
# Murphy_E = 5.095e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1521457 hash collisions in 13944758 relations (13267319 unique)
Msieve: matrix is 1152154 x 1152379 (402.0 MB)

Sieving start time : 2022/10/23 18:38:26
Sieving end time  : 2022/10/23 20:32:11

Total sieving time: 1hrs 53min 45secs.

Total relation processing time: 0hrs 22min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 58sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5663883348279483329085738234800984018613611250993342628482107336458577804307588393074407567374792024459533094461876622080872178087957567323567<142>

5963538513812922931889222222205041082918012188297168965787<58>
949752120349458712524499935756679806893795620291666761789887739677010967059788514941<84>

5663883348279483329085738234800984018613611250993342628482107336458577804307588393074407567374792024459533094461876622080872178087957567323567=5963538513812922931889222222205041082918012188297168965787*949752120349458712524499935756679806893795620291666761789887739677010967059788514941

cado polynomial
n: 5663883348279483329085738234800984018613611250993342628482107336458577804307588393074407567374792024459533094461876622080872178087957567323567
skew: 0.35
type: snfs
c0: -8
c5: 1475
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 1475*x^5-8
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9600000
tasks.lim1 = 9600000
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: 5963538513812922931889222222205041082918012188297168965787 949752120349458712524499935756679806893795620291666761789887739677010967059788514941
Info:Square Root: Total cpu/real time for sqrt: 531.87/168.286
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.87/115.748
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 114.89999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 328.25/380.742
Info:Filtering - Merging: Merged matrix has 1898201 rows and total weight 323678748 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 498.14/137.39
Info:Filtering - Merging: Total cpu/real time for replay: 72.19/62.5389
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25203266
Info:Lattice Sieving: Average J: 1895.3 for 1997367 special-q, max bucket fill -bkmult 1.0,1s:1.144280
Info:Lattice Sieving: Total time: 494267s
Info:Linear Algebra: Total cpu/real time for bwc: 60388.2/15512.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 38745.38, WCT time 9897.84, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (59392 iterations)
Info:Linear Algebra: Lingen CPU time 378.52, WCT time 96.2
Info:Linear Algebra: Mksol: CPU time 20909.51,  WCT time 5376.38, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29696 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 436.85/443.609
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 358.79999999999995s
Info:Quadratic Characters: Total cpu/real time for characters: 66.93/28.3829
Info:Generate Factor Base: Total cpu/real time for makefb: 4.08/2.22894
Info:Generate Free Relations: Total cpu/real time for freerel: 120.18/31.3678
Info:Square Root: Total cpu/real time for sqrt: 531.87/168.286
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.02179e+06/62491.8
Info:root: Cleaning up computation data in /tmp/cado.cdc_00u1
5963538513812922931889222222205041082918012188297168965787 949752120349458712524499935756679806893795620291666761789887739677010967059788514941

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)

296599263227321718707269597670640091372681498640670495310715377314479674404388462590286826568859289287840033460418576967006096874346476199668613162170422920386725222399176358927336196773<186>

911573668146158396346278614411174653937746674084553520412288029025542739186089394915331799<90>
325370591090577744612111795172922918568562817278522870518118447942174043618557732360687975001827<96>

Number: n
N=296599263227321718707269597670640091372681498640670495310715377314479674404388462590286826568859289287840033460418576967006096874346476199668613162170422920386725222399176358927336196773  ( 186 digits)
SNFS difficulty: 191 digits.
Divisors found:

Mon Oct 17 19:40:18 2022  p90 factor: 911573668146158396346278614411174653937746674084553520412288029025542739186089394915331799
Mon Oct 17 19:40:18 2022  p96 factor: 325370591090577744612111795172922918568562817278522870518118447942174043618557732360687975001827
Mon Oct 17 19:40:18 2022  elapsed time 00:51:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 59x10^190-32 = 65(189)2
#
n: 296599263227321718707269597670640091372681498640670495310715377314479674404388462590286826568859289287840033460418576967006096874346476199668613162170422920386725222399176358927336196773
m: 100000000000000000000000000000000000000
deg: 5
c5: 59
c0: -32
skew: 0.88
# Murphy_E = 3.251e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18316117)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1517892 hash collisions in 13066276 relations (12301270 unique)
Msieve: matrix is 1535746 x 1535972 (533.8 MB)

Sieving start time : 2022/10/17 14:45:48
Sieving end time  : 2022/10/17 18:48:20

Total sieving time: 4hrs 2min 32secs.

Total relation processing time: 0hrs 45min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 3sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

193240860981254726737846422225345802032160692848584951420380818563746223134984378127286508213980318044793397328571077787981287526838272910578503<144>

663799030597715469891486278332613403131497880001458902558593169<63>
291113502843250136406702251789370732364723672046149584028762509018065216866931287<81>

193240860981254726737846422225345802032160692848584951420380818563746223134984378127286508213980318044793397328571077787981287526838272910578503=663799030597715469891486278332613403131497880001458902558593169*291113502843250136406702251789370732364723672046149584028762509018065216866931287

cado polynomial
n: 193240860981254726737846422225345802032160692848584951420380818563746223134984378127286508213980318044793397328571077787981287526838272910578503
skew: 0.56
type: snfs
c0: -16
c5: 295
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 295*x^5-16
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11300000
tasks.lim1 = 11300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 291113502843250136406702251789370732364723672046149584028762509018065216866931287 663799030597715469891486278332613403131497880001458902558593169
Info:Square Root: Total cpu/real time for sqrt: 628.54/204.02
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26557320
Info:Lattice Sieving: Average J: 1893.9 for 2093616 special-q, max bucket fill -bkmult 1.0,1s:1.145130
Info:Lattice Sieving: Total time: 427308s
Info:Linear Algebra: Total cpu/real time for bwc: 81940.9/21005.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 52360.19, WCT time 13361.56, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68608 iterations)
Info:Linear Algebra: Lingen CPU time 486.61, WCT time 123.5
Info:Linear Algebra: Mksol: CPU time 28343.67,  WCT time 7263.42, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.82/2.30896
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 475.52/490.733
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 405.59999999999997s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.85/30.8364
Info:Square Root: Total cpu/real time for sqrt: 628.54/204.02
Info:Quadratic Characters: Total cpu/real time for characters: 77.9/33.5682
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 114.85/109.408
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.69999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 351.07/339.044
Info:Filtering - Merging: Merged matrix has 2189948 rows and total weight 372794442 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 604.94/165.241
Info:Filtering - Merging: Total cpu/real time for replay: 84.11/73.6952
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 887623/236051
Info:root: Cleaning up computation data in /tmp/cado.7f5r_24m
291113502843250136406702251789370732364723672046149584028762509018065216866931287 663799030597715469891486278332613403131497880001458902558593169

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)

37114743847288721467830320475674554398333045270405635973072198596064583044332224454312029483019194628906221872484361866432727736191449724622900392622617541641385923563600749157<176>

16537259001371855451362176257592079593388379263<47>
2244310489677270694497633584174950551297989334508520573040290711013345365697179367735123557435627229172390677408214155496311533339<130>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 37114743847288721467830320475674554398333045270405635973072198596064583044332224454312029483019194628906221872484361866432727736191449724622900392622617541641385923563600749157 (176 digits)
Using B1=15970000, B2=58558467250, polynomial Dickson(12), sigma=1:4156075639
Step 1 took 44376ms
Step 2 took 18450ms
********** Factor found in step 2: 16537259001371855451362176257592079593388379263
Found prime factor of 47 digits: 16537259001371855451362176257592079593388379263
Prime cofactor 2244310489677270694497633584174950551297989334508520573040290711013345365697179367735123557435627229172390677408214155496311533339 has 130 digits

725515578753231094168016607388040404282938818477335559015912667166864060539794448750527161595821946143711500000289028979687264515285972442492999287183312720738311<162>

295837842632747910175799303802767578535820738187675575852689<60>
2452409645421473890188145794910288867025682942204775186437748264853798811083771209625448681928959518999<103>

Number: n
N=725515578753231094168016607388040404282938818477335559015912667166864060539794448750527161595821946143711500000289028979687264515285972442492999287183312720738311  ( 162 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Oct 29 11:59:01 2022  p60 factor: 295837842632747910175799303802767578535820738187675575852689
Sat Oct 29 11:59:01 2022  p103 factor: 2452409645421473890188145794910288867025682942204775186437748264853798811083771209625448681928959518999
Sat Oct 29 11:59:01 2022  elapsed time 01:34:31 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 59x10^197-32 = 65(196)2
#
n: 725515578753231094168016607388040404282938818477335559015912667166864060539794448750527161595821946143711500000289028979687264515285972442492999287183312720738311
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1475
c0: -8
skew: 0.35
# Murphy_E = 1.51e-11
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 27093317)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2105052 hash collisions in 14226940 relations (12815501 unique)
Msieve: matrix is 2106417 x 2106642 (732.6 MB)

Sieving start time : 2022/10/29 01:26:35
Sieving end time  : 2022/10/29 10:24:03

Total sieving time: 8hrs 57min 28secs.

Total relation processing time: 1hrs 23min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 14sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14100000,14100000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

64113800809797361890652643480674426572966826533529361907577592361040298691481974482878286342094632150254371932603596269692772733219913773528776163152021180062808872384035727956856042843<185>

53083631118144534938801225812689065438060485562341074161<56>
1207788530274120616899744823284808773698070776746375047632953191748997008365693245807767358942205767420094896096462930423367978763<130>

Number: n
N=64113800809797361890652643480674426572966826533529361907577592361040298691481974482878286342094632150254371932603596269692772733219913773528776163152021180062808872384035727956856042843  ( 185 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Oct 27 13:57:13 2022  p56 factor: 53083631118144534938801225812689065438060485562341074161
Thu Oct 27 13:57:13 2022  p130 factor: 1207788530274120616899744823284808773698070776746375047632953191748997008365693245807767358942205767420094896096462930423367978763
Thu Oct 27 13:57:13 2022  elapsed time 01:19:49 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 59x10^198-32 = 65(197)2
#
n: 64113800809797361890652643480674426572966826533529361907577592361040298691481974482878286342094632150254371932603596269692772733219913773528776163152021180062808872384035727956856042843
m: 1000000000000000000000000000000000000000
deg: 5
c5: 7375
c0: -4
skew: 0.22
# Murphy_E = 1.53e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 27246029)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2179675 hash collisions in 14745225 relations (13291454 unique)
Msieve: matrix is 1958204 x 1958429 (686.9 MB)

Sieving start time : 2022/10/27 03:37:59
Sieving end time  : 2022/10/27 12:37:03

Total sieving time: 8hrs 59min 4secs.

Total relation processing time: 1hrs 12min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 1sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

134694057064453861709020570664291716547284150262093524081768164315914413809529016583689598944518294482616236271288832063856847718876545360133633451349<150>

152436616834306762919459097297676178268743<42>
883606969648647875838338060563801316417428592170699786880899527429562595679587179880551722036143674021907843<108>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 134694057064453861709020570664291716547284150262093524081768164315914413809529016583689598944518294482616236271288832063856847718876545360133633451349 (150 digits)
Using B1=41400000, B2=192394462276, polynomial Dickson(12), sigma=1:4186351588
Step 1 took 78583ms
Step 2 took 23811ms
********** Factor found in step 2: 152436616834306762919459097297676178268743
Found prime factor of 42 digits: 152436616834306762919459097297676178268743
Prime cofactor 883606969648647875838338060563801316417428592170699786880899527429562595679587179880551722036143674021907843 has 108 digits

547991692633965712870260898213092542870036529574180922346023281616997348771845872277152226083017879905756551672303527059620183329847<132>

59773142324194814757126363387889093489<38>
9167858193932546225672661002273104350109932633539212442988517856050619134781499355243112656423<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:395670382
Step 1 took 4906ms
Step 2 took 2985ms
********** Factor found in step 2: 59773142324194814757126363387889093489
Found prime factor of 38 digits: 59773142324194814757126363387889093489
Prime cofactor 9167858193932546225672661002273104350109932633539212442988517856050619134781499355243112656423 has 94 digits

GMP-ECM

1254912020844065965623861265143084911885057718441679969948515405520440121427450141607565584958493689617379240910177947674747239088770870796067771<145>

188375431931125545608548736383829595036494634135742701369743<60>
6661760549023670394153954117753912737598935660899134972190375502278795998578881438997<85>

1254912020844065965623861265143084911885057718441679969948515405520440121427450141607565584958493689617379240910177947674747239088770870796067771=188375431931125545608548736383829595036494634135742701369743*6661760549023670394153954117753912737598935660899134972190375502278795998578881438997

cado polynomial
n: 1254912020844065965623861265143084911885057718441679969948515405520440121427450141607565584958493689617379240910177947674747239088770870796067771
skew: 167669.055
c0: 199846583528627887103692814140008
c1: 1678615491027551392198882422
c2: 20555326667887371006919
c3: -208336974696396881
c4: -3662949836
c5: 2704800
Y0: -6648992747185489669697042549
Y1: 381308321198948466409
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.818e-07
# f(x) = 2704800*x^5-3662949836*x^4-208336974696396881*x^3+20555326667887371006919*x^2+1678615491027551392198882422*x+199846583528627887103692814140008
# g(x) = 381308321198948466409*x-6648992747185489669697042549

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 188375431931125545608548736383829595036494634135742701369743 6661760549023670394153954117753912737598935660899134972190375502278795998578881438997
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 4341.34/271.283
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 233.58/18.3227
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 890.06/670.398
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 482.1s
Info:Filtering - Merging: Merged matrix has 3378581 rows and total weight 575331372 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 691.34/46.2113
Info:Filtering - Merging: Total cpu/real time for replay: 68.38/58.9357
Info:Linear Algebra: Total cpu/real time for bwc: 137006/14745.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 88378.47, WCT time 9633.11, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (105984 iterations)
Info:Linear Algebra: Lingen CPU time 746.65, WCT time 48.18
Info:Linear Algebra: Mksol: CPU time 47019.64,  WCT time 4973.97, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (53248 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 194.91/160.344
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 159.79999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 659.69/481.846
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4580.69
Info:Polynomial Selection (root optimized): Rootsieve time: 4578.54
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48539590
Info:Lattice Sieving: Average J: 3800.69 for 1097916 special-q, max bucket fill -bkmult 1.0,1s:1.157930
Info:Lattice Sieving: Total time: 1.10176e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.74/0.649934
Info:Quadratic Characters: Total cpu/real time for characters: 91.59/19.4793
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 81888.4
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56852/44.130/51.939/57.050/0.900
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 46937/41.900/46.339/52.620/1.010
Info:Polynomial Selection (size optimized): Total time: 30569
Info:Square Root: Total cpu/real time for sqrt: 4341.34/271.283
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.9984e+06/109469
188375431931125545608548736383829595036494634135742701369743 6661760549023670394153954117753912737598935660899134972190375502278795998578881438997

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)

64118996020625394538093076756595051362762154218917419099998562795526213214546399580971867225118552476448864976174022703400867410541820984919060163060711878281657381834375406732874062292894664767<194>

41463968364519810371212005384797940117574561129849746833<56>
14516013849328185088262364608079535373344104308439704108115084411353<68>
106529153282712076300948087226641443626587328074463902315951430875889383<72>

Number: n
N=64118996020625394538093076756595051362762154218917419099998562795526213214546399580971867225118552476448864976174022703400867410541820984919060163060711878281657381834375406732874062292894664767  ( 194 digits)
SNFS difficulty: 203 digits.
Divisors found:

Thu Jul 27 06:54:12 2023  prp56 factor: 41463968364519810371212005384797940117574561129849746833
Thu Jul 27 06:54:12 2023  prp68 factor: 14516013849328185088262364608079535373344104308439704108115084411353
Thu Jul 27 06:54:12 2023  prp72 factor: 106529153282712076300948087226641443626587328074463902315951430875889383
Thu Jul 27 06:54:12 2023  elapsed time 03:27:15 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
#
# N = 59x10^203-32 = 65(202)2
#
n: 64118996020625394538093076756595051362762154218917419099998562795526213214546399580971867225118552476448864976174022703400867410541820984919060163060711878281657381834375406732874062292894664767
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7375
c0: -4
skew: 0.22
# Murphy_E = 9.442e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2854998 hash collisions in 16371429 relations (14179378 unique)
Msieve: matrix is 2481198 x 2481423 (707.5 MB)

Sieving start time: 2023/07/26 13:48:17
Sieving end time  : 2023/07/27 03:26:36

Total sieving time: 13hrs 38min 19secs.

Total relation processing time: 3hrs 12min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 32sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17500000,17500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3901766937259390264663505286366500180667350997126726013393416137551303604123996568817096579480174286402413928138426668978433945737088591589256373898705458777173<160>

32232503784836465264966456063623067795761<41>
121050693526791631392188352393874871345202831727528633917178140499731214897127176609759568819777675869350294885282747493<120>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3901766937259390264663505286366500180667350997126726013393416137551303604123996568817096579480174286402413928138426668978433945737088591589256373898705458777173 (160 digits)
Using B1=51240000, B2=288593074786, polynomial Dickson(12), sigma=1:1856947109
Step 1 took 122093ms
Step 2 took 40584ms
********** Factor found in step 2: 32232503784836465264966456063623067795761
Found prime factor of 41 digits: 32232503784836465264966456063623067795761
Prime cofactor 121050693526791631392188352393874871345202831727528633917178140499731214897127176609759568819777675869350294885282747493 has 120 digits

4946947219686492477111080879715373982729246854182122911358128408384329291214353939408086117784772541990648645114511599278437386454192899743650301410574210283824733<163>

7024302611129740611434558226054464331326493836582082716152116707<64>
704261688818508837872422487637871154156265692856231763303958129305943962855901067873177120313353919<99>

Number: n
N=4946947219686492477111080879715373982729246854182122911358128408384329291214353939408086117784772541990648645114511599278437386454192899743650301410574210283824733  ( 163 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Jul 10 01:39:41 2024  prp64 factor: 7024302611129740611434558226054464331326493836582082716152116707
Wed Jul 10 01:39:41 2024  prp99 factor: 704261688818508837872422487637871154156265692856231763303958129305943962855901067873177120313353919
Wed Jul 10 01:39:41 2024  elapsed time 05:33:46 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.902).
Factorization parameters were as follows:
#
# N = 59x10^206-32 = 65(205)2
#
n: 4946947219686492477111080879715373982729246854182122911358128408384329291214353939408086117784772541990648645114511599278437386454192899743650301410574210283824733
m: 100000000000000000000000000000000000000000
deg: 5
c5: 295
c0: -16
skew: 0.56
# Murphy_E = 7.484e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 90000000
qintsize: 50000
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 [90000000, 106400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3372487 hash collisions in 25516092 relations (22717645 unique)
Msieve: matrix is 3090521 x 3090746 (880.4 MB)

Sieving start time: 2024/07/09 12:52:23
Sieving end time  : 2024/07/09 19:49:33

Total sieving time: 6hrs 57min 10secs.

Total relation processing time: 5hrs 14min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 19sec.

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) ----------

172839478364960179133827879477906935394541631134966960670016222620211520656802913632416669202171446409494966818801809897647901064219885669921118782354825212367461<162>

362788681468919792533833125858765259302158376851<48>
3914148775338793707179156529552889629166266961573313<52>
121717181925721973497474262299275411283519881454103568986607847<63>

ECM:

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 172839478364960179133827879477906935394541631134966960670016222620211520656802913632416669202171446409494966818801809897647901064219885669921118782354825212367461 (162 digits)
Using B1=65300000, B2=388134487660, polynomial Dickson(30), sigma=1:1543265828
Step 1 took 149921ms
Step 2 took 56367ms
********** Factor found in step 2: 362788681468919792533833125858765259302158376851
Found prime factor of 48 digits: 362788681468919792533833125858765259302158376851
Composite cofactor 476419158572253818847736523326072647093385334279014114124122348776491777015575285078907276687072378865862071587111 has 114 digits

CADO:

STA:Mon Aug 12 03:54:53 PM AEST 2024 (476419158572253818847736523326072647093385334279014114124122348776491777015575285078907276687072378865862071587111 - C114)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 476419158572253818847736523326072647093385334279014114124122348776491777015575285078907276687072378865862071587111 2>&1 | tee -a log-57

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.ckydv6n4
Info:Database: Opened connection to database /tmp/cado.ckydv6n4/c115.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors 476419158572253818847736523326072647093385334279014114124122348776491777015575285078907276687072378865862071587111
Info:root: If this computation gets interrupted, it can be resumed with /home/bob/Downloads/Math/cado-nfs/cado-nfs.py /tmp/cado.ckydv6n4/c115.parameters_snapshot.0
Info:Server Launcher: Adding VM9 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,VM9
Info:Lattice Sieving: param rels_wanted is 11400000
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 476419158572253818847736523326072647093385334279014114124122348776491777015575285078907276687072378865862071587111
skew: 54112.191
c0: 632664253822200357632933100
c1: 28974294925820175498971
c2: 2973810180189675132
c3: -16920602664353
c4: -644665974
c5: 3240
Y0: -17109134103501749095506
Y1: 33140086398429541
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=4.027e+12) = 3.739e-06
# f(x) = 3240*x^5-644665974*x^4-16920602664353*x^3+2973810180189675132*x^2+28974294925820175498971*x+632664253822200357632933100
# g(x) = 33140086398429541*x-17109134103501749095506
Info:Polynomial Selection (root optimized): Best overall polynomial was 2-th in list after size optimization
===
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 11.31/2.92006
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 121717181925721973497474262299275411283519881454103568986607847 3914148775338793707179156529552889629166266961573313
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 298.85/37.6288
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 1380.61/254.68
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 735.7, WCT time 131.16, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15000 iterations)
Info:Linear Algebra: Lingen CPU time 12.58, WCT time 12.84
Info:Linear Algebra: Mksol: CPU time 424.06,  WCT time 76.26, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7500 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11436233
Info:Lattice Sieving: Average J: 1926.44 for 118748 special-q, max bucket fill -bkmult 1.0,1s:1.326620
Info:Lattice Sieving: Total time: 17717.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 25.41/12.6068
Info:Quadratic Characters: Total cpu/real time for characters: 11.31/2.92006
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 41.77/43.1362
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.9s
Info:Square Root: Total cpu/real time for sqrt: 298.85/37.6288
Info:Filtering - Merging: Total cpu/real time for merge: 21.35/4.17327
Info:Filtering - Merging: Total cpu/real time for replay: 6.36/5.49192
Info:Generate Free Relations: Total cpu/real time for freerel: 55.56/7.16504
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 96.46/52.5981
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 40.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.72/0.143052
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 20177.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 13916/33.460/41.126/50.860/1.843
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11328/32.350/36.155/44.820/1.324
Info:Polynomial Selection (size optimized): Total time: 680.96
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 98.52
Info:Polynomial Selection (root optimized): Rootsieve time: 98.29
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 19405.6/2547.74
Info:root: Cleaning up computation data in /tmp/cado.ckydv6n4
121717181925721973497474262299275411283519881454103568986607847 3914148775338793707179156529552889629166266961573313

END:Mon Aug 12 04:37:22 PM AEST 2024 (476419158572253818847736523326072647093385334279014114124122348776491777015575285078907276687072378865862071587111 - C114)

GMP-ECM and CADO-NFS

3960896918226340247887119792821852500835898373784367202581962444748538419257173414643347896085346914070642921463456887984814926065459298797<139>

1789223731941837551195533072602862542433<40>
2213751610553250510206025723011660698978376605138474204899941516515465023617793092325150894943639309<100>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:309792795
Step 1 took 21766ms
Step 2 took 2640ms
********** Factor found in step 2: 1789223731941837551195533072602862542433
Found prime factor of 40 digits: 1789223731941837551195533072602862542433
Prime cofactor 2213751610553250510206025723011660698978376605138474204899941516515465023617793092325150894943639309 has 100 digits
 

GMP-ECM

6213583286653789948998861800199673127329904947723629780054102525494302789324466427531828095367731555778114051243902167948723330364467895083<139>

2667753953760329062322039939395620420221<40>
2329144064389986877664755188153103512563195338958751833481423312550769089191165630863526743079630023<100>

Step 1 took 5968ms
Step 2 took 3328ms
********** Factor found in step 2: 2667753953760329062322039939395620420221
Found prime factor of 40 digits: 2667753953760329062322039939395620420221
Prime cofactor 2329144064389986877664755188153103512563195338958751833481423312550769089191165630863526743079630023 has 100 digits

GMP-ECM

105952119103480521397428621446506088963932195247230556787602057182387583231344627121279336547109828171259078001424932201409630811723068733902434545794795321689946212987117545604805314398851<189>

427700736131976248504006486370378568592343538011337223183687236840691806988908603850239146136369817173121145109880404313311242502021353855032366054474029746734161658633755472187067657700467<189>

659768125956130549597368280406604845481383556160614240573322830262600095997581494446723492645790642244548898006674187934258710133501<132>

38157802698300911535756891335141997227<38>
17290516730553477784900181510794352750928681557985748446561202098527504988934582212150325436663<95>

Resuming ECM residue saved by @8b90f3fdaaa0 with GMP-ECM 7.0.5-dev on Fri Oct  7 06:39:02 2022 
Input number is 659768125956130549597368280406604845481383556160614240573322830262600095997581494446723492645790642244548898006674187934258710133501 (132 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3648858463
Step 1 took 0ms
Step 2 took 2144ms
********** Factor found in step 2: 38157802698300911535756891335141997227
Found prime factor of 38 digits: 38157802698300911535756891335141997227
Prime cofactor 17290516730553477784900181510794352750928681557985748446561202098527504988934582212150325436663 has 95 digits

72269075318502515410717502075709729313524495414377218994038833277869249390703917643842790138582869000639421562658612001295543986959309034735809466793816410736458338230525081<173>

275949427398044462094530490831451338430293040051125245560327448073147075328397286739370404557291214030452866713338422311904689034174046068081264203552324086071652861727948575716582774306613169<192>

131380613797387355206187812446836920679571149<45>

2100381627259013560933808967242727463767411249399636432936287999430044147690603285217727412464038717569563409094237806204533523609144399835909284981<148>

Resuming ECM residue saved by @2e936f610992 with GMP-ECM 7.0.5-dev on Sat Oct  8 00:33:52 2022 
Input number is 275949427398044462094530490831451338430293040051125245560327448073147075328397286739370404557291214030452866713338422311904689034174046068081264203552324086071652861727948575716582774306613169 (192 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2330026447
Step 1 took 0ms
Step 2 took 4290ms
********** Factor found in step 2: 131380613797387355206187812446836920679571149
Found prime factor of 45 digits: 131380613797387355206187812446836920679571149
Composite cofactor 2100381627259013560933808967242727463767411249399636432936287999430044147690603285217727412464038717569563409094237806204533523609144399835909284981 has 148 digits

2100381627259013560933808967242727463767411249399636432936287999430044147690603285217727412464038717569563409094237806204533523609144399835909284981<148>

88011714160800731812345759989206574215209968305479<50>

23864796263614828103359171576063887850538989452358559362452673592317256563815668774667254484784739<98>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3602470198
Step 1 took 13047ms
********** Factor found in step 2: 88011714160800731812345759989206574215209968305479
Found prime factor of 50 digits: 88011714160800731812345759989206574215209968305479
Composite cofactor 23864796263614828103359171576063887850538989452358559362452673592317256563815668774667254484784739 has 98 digits
 

GMP-ECM

23864796263614828103359171576063887850538989452358559362452673592317256563815668774667254484784739<98>

2592930689032963379322874634900907238024846575257<49>
9203792590582215904725537763940084975007679950427<49>

N=23864796263614828103359171576063887850538989452358559362452673592317256563815668774667254484784739
  ( 98 digits)
Divisors found:
 r1=2592930689032963379322874634900907238024846575257 (pp49)
 r2=9203792590582215904725537763940084975007679950427 (pp49)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.71 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 23864796263614828103359171576063887850538989452358559362452673592317256563815668774667254484784739
skew: 487490.87
c0: -54646595217778606968350004
c1: 9763259553605919584
c2: -2911669196537264
c3: -776244201
c4: 10080
Y0: -220584171174985127568377
Y1: 1189395228073
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [840000, 1090001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 161874 x 162101
Total sieving time: 1.65 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,97,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1680000,1680000,26,26,52,52,2.5,2.5,100000
total time: 1.71 hours.
 --------- CPU info (if available) ----------

56611596357588550437859518602096848999016762393059781333121221506371214857917316305687727827708996018118817735496514671347447288078546418633079351594975687323790896293934024215346247126409351<191>

101071148606794173916380241309936904194144314525191726829696142439741038586566239632498451384434906068928467665455183339637432093892698757270270418427702950866402442701224091524550353303621841783566584987474029854019<216>

51096444623299739656855397330720388827738611077161514211705694918139805551654983792709684056058014897123750609370847464388792443179959<134>

26408145509659533564322610110182123269<38>
1934874397166955758959776695523232828874990016165223058492128486700497770334154766449026374096011<97>

GPU: factor 26408145509659533564322610110182123269 found in Step 1 with curve 476 (-sigma 3:-552374997)
Computing 1792 Step 1 took 160ms of CPU time / 148461ms of GPU time
Throughput: 12.070 curves per second (on average 82.85ms per Step 1)
********** Factor found in step 1: 26408145509659533564322610110182123269
Found prime factor of 38 digits: 26408145509659533564322610110182123269
Prime cofactor 1934874397166955758959776695523232828874990016165223058492128486700497770334154766449026374096011 has 97 digits
Peak memory usage: 9428MB

11708081433876850499183201403548002297097810602659658655778045013801688779814279169491819253412664987450638345805554009620184032227874075751042567120459604637962438903824370116634252959684661297<194>

86537072213920036550840212427393224621784652905675785469836387026838297457801519888498656424331346251439964846529007391577304583897493724088052005459163016259074303778455449571375753457631739813713481<200>

5962606891088306135673769564431564886157626198308849547788175773392619984886175348454871663726759283442295253695401953889653141868045681655709150467668358575645595190295727603340681243652957643<193>

256913314193764080953952364136455900136985702135800880694967384900125646281760595078575167750504775716532995033812986282292023627170271796301836711643553<153>

746813696083506504867505146590989836093129433<45>

344012590477500819552136182712952895745708375393940307026956908458668455004642730160201311068473075225669641<108>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:386689725
Step 1 took 82188ms
Step 2 took 28609ms
********** Factor found in step 2: 746813696083506504867505146590989836093129433
Found prime factor of 45 digits: 746813696083506504867505146590989836093129433
Composite cofactor 344012590477500819552136182712952895745708375393940307026956908458668455004642730160201311068473075225669641 has 108 digits
 

GMP-ECM

344012590477500819552136182712952895745708375393940307026956908458668455004642730160201311068473075225669641<108>

1028429995097235687418997747994728226453651354139<49>
334502680899515403021062366561976710228507076459694016719019<60>

CADO:

STA:Sat Mar 2 11:36:41 PM AEDT 2024 (344012590477500819552136182712952895745708375393940307026956908458668455004642730160201311068473075225669641 - C108) 

/home/bob/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 344012590477500819552136182712952895745708375393940307026956908458668455004642730160201311068473075225669641 2>&1 | tee -a log-6

/home/bob/cado-nfs/cado-nfs.py:93: DeprecationWarning: Use setlocale(), getencoding() and getlocale() instead 
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c108 in directory /home/bob/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.s4gwgea_
Info:Database: Opened connection to database /tmp/cado.s4gwgea_/c110.db
Info:root: Set tasks.threads=20 based on --server-threads 20
Info:root: tasks.threads = 20 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/cado-nfs/build/linux-8
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 344012590477500819552136182712952895745708375393940307026956908458668455004642730160201311068473075225669641
Debug:root: Root parameter dictionary:
N = 344012590477500819552136182712952895745708375393940307026956908458668455004642730160201311068473075225669641
name = c110
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 344012590477500819552136182712952895745708375393940307026956908458668455004642730160201311068473075225669641
skew: 4418.455
c0: -321577550890652962974600
c1: 11178763723824953940
c2: 113738825294398946 
c3: 6812586361487
c4: -2792286958
c5: 139320 
Y0: -638578541415347838413 
Y1: 3101384502379
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.973e-06
# f(x) = 139320*x^5-2792286958*x^4+6812586361487*x^3+113738825294398946*x^2+11178763723824953940*x-321577550890652962974600
# g(x) = 3101384502379*x-638578541415347838413
===

Info:Square Root: finished
Info:Square Root: Factors: 334502680899515403021062366561976710228507076459694016719019 1028429995097235687418997747994728226453651354139
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 255.85/20.1166
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 102.74
Info:Polynomial Selection (root optimized): Rootsieve time: 102.21
Info:Generate Free Relations: Total cpu/real time for freerel: 24.65/2.12039
Info:Filtering - Singleton removal: Total cpu/real time for purge: 39.05/29.5711
Info:Quadratic Characters: Total cpu/real time for characters: 6.63/1.53729
Info:Linear Algebra: Total cpu/real time for bwc: 857.84/86.73
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 526.27, WCT time 49.9, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations)
Info:Linear Algebra: Lingen CPU time 15.83, WCT time 4.31
Info:Linear Algebra: Mksol: CPU time 295.47,  WCT time 28.25, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 72.31/51.6404
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 30.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.77/13.5277
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 13.0s
Info:Lattice Sieving: Aggregate statistics: 
Info:Lattice Sieving: Total number of relations: 5056370
Info:Lattice Sieving: Average J: 1896.66 for 69508 special-q, max bucket fill -bkmult 1.0,1s:1.298560
Info:Lattice Sieving: Total time: 7162.11s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 12443.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 8431/30.650/38.084/43.350/1.035
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 6396/30.390/33.751/38.610/0.844
Info:Polynomial Selection (size optimized): Total time: 485.38
Info:Square Root: Total cpu/real time for sqrt: 255.85/20.1166
Info:Generate Factor Base: Total cpu/real time for makefb: 0.68/0.117024
Info:Filtering - Merging: Total cpu/real time for merge: 37.63/3.69115
Info:Filtering - Merging: Total cpu/real time for replay: 5.52/4.74003
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 12490.2/943.267
Info:root: Cleaning up computation data in /tmp/cado.s4gwgea_
334502680899515403021062366561976710228507076459694016719019 1028429995097235687418997747994728226453651354139

END:Sat Mar 2 11:52:25 PM AEDT 2024 (344012590477500819552136182712952895745708375393940307026956908458668455004642730160201311068473075225669641 - C108)

8214599088940873253378752613069173908886743849435404164323082492261692413686131036204614755480283225008346483944766559892459938392171941386371760579189860560510355117647982802033995214576397207<193>

4499100381694429163242437473389622558436571165887084769057425929963108073190501247092552929400445374407302686085252204085030625354956096630567540696689558216984674892194353358921<178>

133874068879450794877198175687585752570591432326545227116706834091963914077116192803193399706607535336582144264627270824032657245059421393816731607968473282325862429487141064140122158319166475678200506015389227487847<216>

21679150634205985764355544957052553127<38>
6175245107076309929464657407854411126533149734299980340657410724715270662098179898767154733680437498584185108492089621771822705616648658252809140516544552232388006848784066967361<178>

Resuming ECM residue saved by @8b90f3fdaaa0 with GMP-ECM 7.0.5-dev on Fri Oct  7 09:29:42 2022 
Input number is 133874068879450794877198175687585752570591432326545227116706834091963914077116192803193399706607535336582144264627270824032657245059421393816731607968473282325862429487141064140122158319166475678200506015389227487847 (216 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2820783214
Step 1 took 0ms
Step 2 took 5108ms
********** Factor found in step 2: 21679150634205985764355544957052553127
Found prime factor of 38 digits: 21679150634205985764355544957052553127
Prime cofactor 6175245107076309929464657407854411126533149734299980340657410724715270662098179898767154733680437498584185108492089621771822705616648658252809140516544552232388006848784066967361 has 178 digits

87616404534244343966624554752218409078505028129423299182559542371111557551467923677978827793470619524037205185645524150389886641494610015540335912015991470368598067<164>

1891024227766655320715638943789896304197539774178602604588194363732478735607537451971730563258371359617879136794023269773585084742330748048525861626674738058403652572447521078360834012684282687722576524588583<208>

23760001752602163174993459958839622726610815359496075330964743056924775995536019196148399010810720255055161864407871761068778036802068070552546492282751430754817400762124205368890538396807171235674732502651455110832756649900965091<230>

9267475622450245284296166491656150852976268856948389149713718818861184239736095420227004121939655334467593041443024694756730098374385463412198703945956325142957034189716043238715432372925371894827487582761214749889938528249<223>

170412965503550497797017867904908998966683431970480041653398064384363959011838029966474402251218127185218503753476568330029364178355090421918391<144>

5516691367787212295631685232139856110212574285706560718797516823<64>
30890429451721251586064985252683251111696636762629919047539091720237256911838817<80>

Number: 65552_237
N = 170412965503550497797017867904908998966683431970480041653398064384363959011838029966474402251218127185218503753476568330029364178355090421918391 (144 digits)
Divisors found:
r1=5516691367787212295631685232139856110212574285706560718797516823 (pp64)
r2=30890429451721251586064985252683251111696636762629919047539091720237256911838817 (pp80)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 58.29 hours.
Factorization parameters were as follows:
n: 170412965503550497797017867904908998966683431970480041653398064384363959011838029966474402251218127185218503753476568330029364178355090421918391
# norm 9.041613e-14 alpha -6.609197 e 1.420e-11 rroots 5
skew: 5929695.35
c0: 1080376347572204230600274431160721000
c1: 994070531732514804536892717480
c2: -541175519513943348107536
c3: -50494879892046613
c4: 15585249194
c5: 720
Y0: -11880478798284710562959718839
Y1: 530215276943821
type: gnfs
Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 39310119
Relations: 5380416 relations
Pruned matrix : 3085854 x 3086087
Polynomial selection time: 0.71 hours.
Total sieving time: 52.47 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 4.60 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,143,5,65,2000,1e-05,0.28,250,20,50000,3600,15100000,15100000,29,29,58,58,2.6,2.6,100000
total time: 58.29 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

1104688167333611798792830135369662856967306551127716810392692958706068004405224949593493839259421009419307903227491209903069048080592453679118496570349373048238519917731160832472831280006676933803147601<202>

156382527565733672603901611535199321458863443596268023748939779474130619168787107718405428329092451229855810008481764206955046649703138252756573367260390161153519932145886344359626802374893977947413061916878710771840542832909245122985581<237>

766212845901803512004927329964262277198446333453882219375150301293383740035530300737120494750989194871051226797922428472489163912986777621849883890344709858766979109564811334534877778642849597205770762366543991713915580208713269<228>

2828147875512071623195646366164270375318653341<46>

270923897769338200503992727710764419493606189897882112160569631924361770799725403937353422286038606491690855819663540397150765134318532350187733368505161482656074221213475617323065209<183>

Resuming ECM residue saved by @8b90f3fdaaa0 with GMP-ECM 7.0.5-dev on Fri Oct  7 08:56:07 2022 
Input number is 766212845901803512004927329964262277198446333453882219375150301293383740035530300737120494750989194871051226797922428472489163912986777621849883890344709858766979109564811334534877778642849597205770762366543991713915580208713269 (228 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3744260102
Step 1 took 1ms
Step 2 took 5810ms
********** Factor found in step 2: 2828147875512071623195646366164270375318653341
Found prime factor of 46 digits: 2828147875512071623195646366164270375318653341
Composite cofactor 270923897769338200503992727710764419493606189897882112160569631924361770799725403937353422286038606491690855819663540397150765134318532350187733368505161482656074221213475617323065209 has 183 digits

270923897769338200503992727710764419493606189897882112160569631924361770799725403937353422286038606491690855819663540397150765134318532350187733368505161482656074221213475617323065209<183>

63416671755951011486659975812688718260949<41>
4272124194911170820749329986232421184140126618615157063564955661805550992921742641102295967043444276584690465288613205783927832917043466398741<142>

Resuming ECM residue saved by @8b90f3fdaaa0 with GMP-ECM 7.0.5-dev on Fri Oct  7 08:56:07 2022 
Input number is 270923897769338200503992727710764419493606189897882112160569631924361770799725403937353422286038606491690855819663540397150765134318532350187733368505161482656074221213475617323065209 (183 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3744260714
Step 1 took 0ms
Step 2 took 3414ms
********** Factor found in step 2: 63416671755951011486659975812688718260949
Found prime factor of 41 digits: 63416671755951011486659975812688718260949
Prime cofactor 4272124194911170820749329986232421184140126618615157063564955661805550992921742641102295967043444276584690465288613205783927832917043466398741 has 142 digits

1627512448249423622837096053354414103943354448116619182308245323175185131471983739484536065225232270301357323689469360164311606266030062187653035571273420421318967388358475473366784928727775471437925443372785808674444359619461839<229>

66373346031412971748467055507001968870558582992868335337952685886109171742328568392996084013201934473171657270190377041694438522465115244610094153871439822079123144292243044096770423951909402976085695459382016544169804246609783695671<233>

37303602667801399824862660063785193139<38>
1779274420824322081535531193110550087133601230354354306574040342768364955247377864436198240531448392336937001226218572056421678284577566463683267494644015666255198904193197290596267694047261031789<196>

Resuming ECM residue saved by @8b90f3fdaaa0 with GMP-ECM 7.0.5-dev on Fri Oct  7 06:05:20 2022 
Input number is 66373346031412971748467055507001968870558582992868335337952685886109171742328568392996084013201934473171657270190377041694438522465115244610094153871439822079123144292243044096770423951909402976085695459382016544169804246609783695671 (233 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1900103594
Step 1 took 0ms
Step 2 took 6029ms
********** Factor found in step 2: 37303602667801399824862660063785193139
Found prime factor of 38 digits: 37303602667801399824862660063785193139
Prime cofactor 1779274420824322081535531193110550087133601230354354306574040342768364955247377864436198240531448392336937001226218572056421678284577566463683267494644015666255198904193197290596267694047261031789 has 196 digits

314387928107462412559649755236060361580776744694037976819806759754782729270530318765257811207405530059980017034815242268072091161146762085830271643245672235739129684526478619739730300882332267393929569607175717960467793261700805112231<234>

1091910530097091044898501582598270458138858074069327562418200086722087524993365538134072042028396777550177295864745369834113105485537021342624786200248261645114113352036727621855035150637904128566162010275875603651372353947881134473179<235>

113922473276972787727940285481878367523157225202300298515921079974723387344776101855160599175242068808871011607902464976450041013893815452305805843761612000676096412037201506470558046806139698484174761326148647669205899112733<225>

363133660689753346283414894575226634983527742267127485141471628010669020002988959220467711895559047718141488799591383953767926810770038086683590997291863260962965173008641938544264738485761116146478199877275448111949781146081<225>

26198464328037043948458062269653374766743350467939304790263209026991371988057743656899881051334466121347624866446412710771090573964220937135022646295183155711978377624806686084660697520191950370867900438221984246368114493121107435511<233>

13033983814622210812865012845395899358246868421130659993882298159721236018791672348250028247567331903394952222795534729089895642040509569759463304357626524100682353875842063173525761552567108188194993224168471607525226997712037220193<233>

15508216035276522045711404267482230191280994481338148896680782020625381436159882226188882763972455413371191847300920993514883815066022758820838894018045815131466099207<167>

471724467763666397552501628345219931809456155319235482450402769344009919850526005438974412791687776398921979735579262992642299329394960274773745439010706780840036418739707819677204766050131763604902743188209481753557315756631<225>

34715957608152890897883897950834636140549548087531267781160775804346412394008658165067203937636568459443111197245967694991920586289635564996057558004096336990071150447765351903574368411939098619<194>

892128301001916586059065801702651577852440734512216929961588158264491205248448581131560984679023250216657684380826868314032488618831173340953613049588413270339113336931759283173632014335772844091053238372823002211860145786538991<228>

5039524929548306975792000635828010037354773116948203458054529285105840857130265917256931242925096478292363659424746121670695560552921713607695128013987794856225193637594652438886288604388638966631043377800763125303432366649230398880933<235>

11285948731108315534871178288984340467671360272575917925012161763231279762546536962580265596969700692955405223882561289155988712917446505965656382338873295435505924769352827692880156646766955400420609081981561554641<215>

8496606871985154092004265013140713893939062424701523600296364407582545301735489761830388250241674054159863365060273898865536898602561607309834911660617563527290790378729807863<175>

60442992732536500520673556210213304170615086581717<50>
140572239855546155588554097054354248544839935441427427500044537462040366009561354183037652042309392129565083939791377016707739<126>

Resuming ECM residue saved by @f9aa8a5a6d3b with GMP-ECM 7.0.5-dev on Thu May 16 13:55:39 2024 
Input number is 8496606871985154092004265013140713893939062424701523600296364407582545301735489761830388250241674054159863365060273898865536898602561607309834911660617563527290790378729807863 (175 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1566362809
Step 1 took 0ms
Step 2 took 23920ms
********** Factor found in step 2: 60442992732536500520673556210213304170615086581717
Found prime factor of 50 digits: 60442992732536500520673556210213304170615086581717
Prime cofactor 140572239855546155588554097054354248544839935441427427500044537462040366009561354183037652042309392129565083939791377016707739 has 126 digits

61801361641237891016790671174201700252118208015878853665661614869333840357845284811338540565747793570555303947026800450306919956597859125527174242966307154466089939700364029009885905537801249324402101<200>

807815156074821295456983948865242758863<39>

76504335399611811113526718324119501706622157251388210411727313224166735668451478078995963814082311950524571918714369793739647197775616715033399447558197939565627<161>

Resuming ECM residue saved by @8b90f3fdaaa0 with GMP-ECM 7.0.5-dev on Fri Oct  7 09:32:38 2022 
Input number is 61801361641237891016790671174201700252118208015878853665661614869333840357845284811338540565747793570555303947026800450306919956597859125527174242966307154466089939700364029009885905537801249324402101 (200 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2966255386
Step 1 took 0ms
Step 2 took 4288ms
********** Factor found in step 2: 807815156074821295456983948865242758863
Found prime factor of 39 digits: 807815156074821295456983948865242758863
Composite cofactor 76504335399611811113526718324119501706622157251388210411727313224166735668451478078995963814082311950524571918714369793739647197775616715033399447558197939565627 has 161 digits

76504335399611811113526718324119501706622157251388210411727313224166735668451478078995963814082311950524571918714369793739647197775616715033399447558197939565627<161>

127455809424403272907756205456518721<36>
20903483369262000083085339134256430776923<41>
28714929089615407169928626402985229990640408556225030129530505879337349079779132323169<86>

Resuming ECM residue saved by @8b90f3fdaaa0 with GMP-ECM 7.0.5-dev on Fri Oct  7 09:32:38 2022 
Input number is 76504335399611811113526718324119501706622157251388210411727313224166735668451478078995963814082311950524571918714369793739647197775616715033399447558197939565627 (161 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2966255611
Step 1 took 0ms
Step 2 took 4689ms
********** Factor found in step 2: 127455809424403272907756205456518721
Found prime factor of 36 digits: 127455809424403272907756205456518721
Composite cofactor 600242042674313288190035257237158721100327959390633171892217507472087684885897882556974779978891004603696672606519048583428987 has 126 digits
---
Resuming ECM residue saved by @8b90f3fdaaa0 with GMP-ECM 7.0.5-dev on Fri Oct  7 09:32:38 2022 
Input number is 600242042674313288190035257237158721100327959390633171892217507472087684885897882556974779978891004603696672606519048583428987 (126 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2966256113
Step 1 took 0ms
Step 2 took 2042ms
********** Factor found in step 2: 20903483369262000083085339134256430776923
Found prime factor of 41 digits: 20903483369262000083085339134256430776923
Prime cofactor 28714929089615407169928626402985229990640408556225030129530505879337349079779132323169 has 86 digits

1182998549432043331325785497670213278030451523328346430702464268135436170001365901583567827071916705797000814205297529698187473462252927644953699759568243239257754981993<169>

399877257616286500351630711571793002146561994620263263365147279959234150346040188788464240794682443486655900789736926674019931688508908083565287958630925601881<159>

836011853191525986717934657599251111<36>
478315296714670732289332397938388135904845925006203756543705254826001278778522551401379612666637857475228036532897771043071<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:616990954
Step 1 took 7172ms
Step 2 took 3718ms
********** Factor found in step 2: 836011853191525986717934657599251111
Found prime factor of 36 digits: 836011853191525986717934657599251111
Prime cofactor 478315296714670732289332397938388135904845925006203756543705254826001278778522551401379612666637857475228036532897771043071 has 123 digits

GMP-ECM

622479167605916251281490879999968874295797064568783255479358923049803611259881697780148302865775729938491340131229778708762339712786778468529127834243543290447317262846839032556598233548597102598534320882535055428974529863374146586412576972902996079<249>

9184362926577913894267394532733244351074962104639896079755102026184175020353774821579868909457082099548346724654851240372206501537659238536450060555809400695278706208768993656515166944210360110907932970054116350823399030226201<226>

44110083008986950747701563806373501770604084018683982014513432075858649830305708591179347923565422696844466633543180175035867623541608976822003778808941108242129627959529380632967023196068453805430920429495831649395528425064196374671<233>

321271470404599613169198931567116431986369674900643211677703451909983117114427858179478570642546473457141870720000335636677908661380448597028782912395092423828763680475316386722701546172497618504968020456792155907439659926293859994522171812497658924733306501<258>

66084229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681<269>

49761691566766854582931466909446823746498217882547081346857904319879325573192516470224337298673108558192197470424414612830395802123940974145875077760352072856549636954847057338307451451735671841845043973442900517583136203138094181926009747432967<245>

139791323372178225617267379071825938214659640055755322939813918149814633207884354867658682555175774665877843241405726222864547998198751154604138637061996979407857441100259165389044116190948774751206042411053175597226814009391633577747386941915697<246>

315118360611258745786299866100418022809761581327613635019606546491179419628548165471533960675261594923043071766258696478814065707194213020685922570835631638998350158478866635419593836610859933393525493812678537767120897550002537457802585026029730563979254941683<261>

112073422062396498327912124289762164523908933332622546134509154010559463521112327995143355380783328046683683809170220410321005278242504885150637481028654315126857461768159329861064694764090849278851700119929239850439024022505496739941<234>

2238536579827092657877575113692453929615254016962429524402559146154895523916469265414275325838499741645799373623368970711668208928335011865311099767908337000098712449454674682636364482929221295302566877853158886439<214>

457142753364516487656302601897431936839170297020014988205983506987749637325373053030123738141469521951078573504719014779159700895675179119903276783527636628176990273311763002071566950989313571455981604689131027924511576655260100276790827077619422438012905381136353<264>

4075827183092964534533297274890448104837<40>

112159503538521258156189657193738066251925635143842330358365951961356270123831511120458792583624660350219043824425014610367227773365689101808014597339867205831278253467776127691346045898975182027136853214824130188384168509869<225>

GPU: factor 4075827183092964534533297274890448104837 found in Step 1 with curve 291 (-sigma 3:1630234896)
Computing 1792 Step 1 took 250ms of CPU time / 267524ms of GPU time
Throughput: 6.698 curves per second (on average 149.29ms per Step 1)
********** Factor found in step 1: 4075827183092964534533297274890448104837
Found prime factor of 40 digits: 4075827183092964534533297274890448104837
Composite cofactor 112159503538521258156189657193738066251925635143842330358365951961356270123831511120458792583624660350219043824425014610367227773365689101808014597339867205831278253467776127691346045898975182027136853214824130188384168509869 has 225 digits
Peak memory usage: 9428MB

112159503538521258156189657193738066251925635143842330358365951961356270123831511120458792583624660350219043824425014610367227773365689101808014597339867205831278253467776127691346045898975182027136853214824130188384168509869<225>

1006131264823627056451965652640048425711<40>
111476014571699658872248538497829581098405602145300416816429154433683738285559848546076483815476798523540971831344018982874282993145382680702511971405771310326526954645724814367585471779<186>

Resuming ECM residue saved by @2e936f610992 with GMP-ECM 7.0.5-dev on Sat Oct  8 00:25:06 2022 
Input number is 112159503538521258156189657193738066251925635143842330358365951961356270123831511120458792583624660350219043824425014610367227773365689101808014597339867205831278253467776127691346045898975182027136853214824130188384168509869 (225 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1630235047
Step 1 took 0ms
Step 2 took 5339ms
********** Factor found in step 2: 1006131264823627056451965652640048425711
Found prime factor of 40 digits: 1006131264823627056451965652640048425711
Prime cofactor 111476014571699658872248538497829581098405602145300416816429154433683738285559848546076483815476798523540971831344018982874282993145382680702511971405771310326526954645724814367585471779 has 186 digits

1351122035752771317083120390774189668732823046837530132074783977845331624636773650978863392699952171852632649964413030461639328376840032605402994518063866249284805185814558386396170169325265814302228992312832546168264943446869831669423527629<241>

14408240323626261886314184464185184643661716744052180139924492339772219540001148753671491514468499066474439700951198657333434863947736175513922177864042820603954963090408381545330034429371121475107884935177365181591592018385296249331348748347211<245>

315903875756899252121458920267390697768400573875852054193051365671466396080709552213868057122628626439310624147303642739079340333991375192198465263855904352265578527579376783334882605472053803782791792941382383456204552343943705986246726885947<243>

171594410283294747031607149891573739141<39>
1840991645563255758764601997823978784533870319129768213056415849355906733081652095997745983171895378724358232161767609150040934902178309594301896192866565693051804309700202986133411017839677343264829573567<205>

Resuming ECM residue saved by @8b90f3fdaaa0 with GMP-ECM 7.0.5-dev on Fri Oct  7 08:21:08 2022 
Input number is 315903875756899252121458920267390697768400573875852054193051365671466396080709552213868057122628626439310624147303642739079340333991375192198465263855904352265578527579376783334882605472053803782791792941382383456204552343943705986246726885947 (243 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3903397051
Step 1 took 0ms
Step 2 took 4685ms
********** Factor found in step 2: 171594410283294747031607149891573739141
Found prime factor of 39 digits: 171594410283294747031607149891573739141
Prime cofactor 1840991645563255758764601997823978784533870319129768213056415849355906733081652095997745983171895378724358232161767609150040934902178309594301896192866565693051804309700202986133411017839677343264829573567 has 205 digits

4520337571822494440321896578942329514870874764449039926882206659266920031127871971193013376055825206716416245481531855919072828565287391846250024792902343080664421833317507554878491732458877554395259984441948114835967338633387763714042231610794803937237929215399583253683453<274>

15614647257658312209165761995803229312248696129223380134729366220342716280617132214044401013316869738545748348776600972572283708579343643332322037957559772353729399518876709650623906145555541468553798059887684987132399888224025437293301761825051<245>

1160648181154877317310408837029721811755452539105427526979914216632484851706038390190560167438024916408215677172646947932727430735900701074655745237586662333748866057534967425134663226024046719513839865725219997070555366958948717801620553976399<244>