650988411724608043626448534423994546693933197000681663258350374914792092706203135650988411724608043626448534423994546693933197<126>

423042847374170641832983612780356247<36>
773456837411099506823877372052678590124687<42>
1989540655215608859502544920261386445448107193173<49>

N=650988411724608043626448534423994546693933197000681663258350374914792092706203135650988411724608043626448534423994546693933197
  ( 126 digits)
SNFS difficulty: 129 digits.
Divisors found:
p36 factor: 423042847374170641832983612780356247
p42 factor: 773456837411099506823877372052678590124687
p49 factor: 1989540655215608859502544920261386445448107193173
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.40 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 650988411724608043626448534423994546693933197000681663258350374914792092706203135650988411724608043626448534423994546693933197
m: 50000000000000000000000000000000
deg: 4
c4: 764
c0: -5
skew: 0.28
# Murphy_E = 1.399e-08
type: snfs
lss: 1
rlim: 1010000
alim: 1010000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1010000/1010000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [505000, 1005001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 113489 x 113714
Total sieving time: 2.34 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:
snfs,129.000,4,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,100000
total time: 2.40 hours.
 --------- CPU info (if available) ----------

115171336174866218852092789837200382898623548945601549916403662173568846573639036945883751617112182645519295411<111>

191450649904661815998033138999272353493792858902379753<54>
601571925883871346545059456662041285623464476375765027387<57>

N=115171336174866218852092789837200382898623548945601549916403662173568846573639036945883751617112182645519295411
  ( 111 digits)
SNFS difficulty: 130 digits.
Divisors found:
p54 factor: 191450649904661815998033138999272353493792858902379753
p57 factor: 601571925883871346545059456662041285623464476375765027387
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.99 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 115171336174866218852092789837200382898623548945601549916403662173568846573639036945883751617112182645519295411
m: 100000000000000000000000000000000
deg: 4
c4: 955
c0: -1
skew: 0.18
# Murphy_E = 1.17e-08
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3

Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 1135001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130904 x 131129
Total sieving time: 2.94 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,100000
total time: 2.99 hours.
 --------- CPU info (if available) ----------

169305932437874114842458029670534202922711717920804943983835422671984655000957134302670002084304946617296127801200402568803<123>

1175186283648429720244008896965603086113549331611551492840673<61>
144067314938576921868761356549762496946428208894400939477071811<63>

N=169305932437874114842458029670534202922711717920804943983835422671984655000957134302670002084304946617296127801200402568803
  ( 123 digits)
SNFS difficulty: 131 digits.
Divisors found:
p61 factor: 1175186283648429720244008896965603086113549331611551492840673
p63 factor: 144067314938576921868761356549762496946428208894400939477071811
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.19 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 169305932437874114842458029670534202922711717920804943983835422671984655000957134302670002084304946617296127801200402568803
m: 100000000000000000000000000000000
deg: 4
c4: 9550
c0: -1
skew: 0.10
# Murphy_E = 1.047e-08
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1255001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 128122 x 128347
Total sieving time: 3.15 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,100000
total time: 3.19 hours.
 --------- CPU info (if available) ----------

373255398052111973717342055207261522781283137437625470424600840459629498874593436423875747778472240119705728631<111>

125365852761141053105496618797790257073486677<45>
2977329071922588524924411958085539008913228952237083878243020251803<67>

N=373255398052111973717342055207261522781283137437625470424600840459629498874593436423875747778472240119705728631
  ( 111 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=125365852761141053105496618797790257073486677 (pp45)
 r2=2977329071922588524924411958085539008913228952237083878243020251803 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.43 hours.
Scaled time: 26.85 units (timescale=7.831).
Factorization parameters were as follows:
n: 373255398052111973717342055207261522781283137437625470424600840459629498874593436423875747778472240119705728631
m: 5000000000000000000000000000000000
deg: 4
c4: 764
c0: -5
skew: 0.28
# Murphy_E = 5.66e-09
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [690000, 1590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 247117 x 247342
Total sieving time: 3.38 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,137.000,4,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,100000
total time: 3.43 hours.

GNFS, Msieve

7601972144263025686089805639659635687840107740327000976625795282896652067381570061424619692987588168681988477402030854571499155677<130>

7006708310754291840628957442520232798471753125323<49>
1084956274345699431708132844432738009120598422467079322233367202522434492132746999<82>

N=7601972144263025686089805639659635687840107740327000976625795282896652067381570061424619692987588168681988477402030854571499155677
  ( 130 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=7006708310754291840628957442520232798471753125323 (pp49)
 r2=1084956274345699431708132844432738009120598422467079322233367202522434492132746999 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.22 hours.
Scaled time: 25.33 units (timescale=7.874).
Factorization parameters were as follows:
n: 7601972144263025686089805639659635687840107740327000976625795282896652067381570061424619692987588168681988477402030854571499155677
m: 10000000000000000000000000000
deg: 5
c5: 955
c0: -1
skew: 0.25
# Murphy_E = 3.15e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [845000, 1545001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 228873 x 229099
Total sieving time: 3.18 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 3.22 hours.

GNFS, Msieve

127498622547604047220149535190754627632596231087314928406519545271823725611215713384164564274458741646003211897236911265097405609966093376787<141>

19881771125176302574824666425569888369868281<44>
43858613153906799663311502511467825136435921<44>
146216211838821460533542056114865351931076693879000187<54>

N=127498622547604047220149535190754627632596231087314928406519545271823725611215713384164564274458741646003211897236911265097405609966093376787
  ( 141 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=19881771125176302574824666425569888369868281 (pp44)
 r2=43858613153906799663311502511467825136435921 (pp44)
 r3=146216211838821460533542056114865351931076693879000187 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.67 hours.
Scaled time: 83.31 units (timescale=7.806).
Factorization parameters were as follows:
n: 127498622547604047220149535190754627632596231087314928406519545271823725611215713384164564274458741646003211897236911265097405609966093376787
m: 1000000000000000000000000000000000000
deg: 4
c4: 955
c0: -1
skew: 0.18
# Murphy_E = 1.867e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 2085001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 298650 x 298878
Total sieving time: 10.61 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146.000,4,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 10.67 hours.

GNFS, Msieve

56812539104661663875458427648608728588079082125200138157046679411114273853501620721977757014071576269669859<107>

11932657913869363053569988291404111432051<41>
4761096774477066352254593737337058314011396805872813602545571411409<67>

Number: 21222_147
N = 56812539104661663875458427648608728588079082125200138157046679411114273853501620721977757014071576269669859 (107 digits)
SNFS difficulty: 150 digits.
Divisors found:
r1=11932657913869363053569988291404111432051 (pp41)
r2=4761096774477066352254593737337058314011396805872813602545571411409 (pp67)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 10.57 hours.
Factorization parameters were as follows:
n: 56812539104661663875458427648608728588079082125200138157046679411114273853501620721977757014071576269669859
m: 5000000000000000000000000000000000000
deg: 4
c4: 764
c0: -5
skew: 0.28
# Murphy_E = 1.408e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 6363365
Relations: 399668 relations
Pruned matrix : 288139 x 288365
Polynomial selection time: 0.00 hours.
Total sieving time: 10.49 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,150,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 10.57 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, Msieve

171423442828935559145575300664153652845090647998563992101956560761084185963022796625381439597917788547837013103572069646383055106803087416980793394363669<153>

9500474593969437205432634724292306206684791623627<49>
18043671516973378706073257692039676106234766142780220775683570233302023238524470890675475418418810751647<104>

N=171423442828935559145575300664153652845090647998563992101956560761084185963022796625381439597917788547837013103572069646383055106803087416980793394363669
  ( 153 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=9500474593969437205432634724292306206684791623627 (pp49)
 r2=18043671516973378706073257692039676106234766142780220775683570233302023238524470890675475418418810751647 (pp104)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.09 hours.
Scaled time: 118.81 units (timescale=7.874).
Factorization parameters were as follows:
n: 171423442828935559145575300664153652845090647998563992101956560761084185963022796625381439597917788547837013103572069646383055106803087416980793394363669
m: 5000000000000000000000000000000
deg: 5
c5: 1528
c0: -5
skew: 0.32
# Murphy_E = 6.603e-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, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 485645 x 485870
Total sieving time: 15.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 15.09 hours.

GNFS, Msieve

220038217717507369711201010601580312350702522022334368167962649622500037829228710367040764625430094553013<105>

10402898001845963074955329411977269153<38>
21151626948419781429096778618546512723920871829868303063234510153621<68>

220038217717507369711201010601580312350702522022334368167962649622500037829228710367040764625430094553013=10402898001845963074955329411977269153*21151626948419781429096778618546512723920871829868303063234510153621

cado polynomial
n: 220038217717507369711201010601580312350702522022334368167962649622500037829228710367040764625430094553013
skew: 4309.853
c0: -251950324553050297187280
c1: 49608627011665730192
c2: 100084692146445
c3: -14751170738903
c4: 1777416180
c5: 216000
Y0: -141729570497070100334
Y1: 1280894364482917
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.277e-06
# f(x) = 216000*x^5+1777416180*x^4-14751170738903*x^3+100084692146445*x^2+49608627011665730192*x-251950324553050297187280
# g(x) = 1280894364482917*x-141729570497070100334

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 21151626948419781429096778618546512723920871829868303063234510153621 10402898001845963074955329411977269153
Info:Square Root: Total cpu/real time for sqrt: 64.55/19.2293
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.36/46.3296
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.800000000000004s
Info:Square Root: Total cpu/real time for sqrt: 64.55/19.2293
Info:Filtering - Singleton removal: Total cpu/real time for purge: 23.31/26.8114
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4715492
Info:Lattice Sieving: Average J: 1898.33 for 44363 special-q, max bucket fill -bkmult 1.0,1s:1.292830
Info:Lattice Sieving: Total time: 4341.67s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/0.417
Info:Linear Algebra: Total cpu/real time for bwc: 542.11/141.39
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 318.55, WCT time 81.86, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Linear Algebra: Lingen CPU time 29.84, WCT time 7.61
Info:Linear Algebra: Mksol: CPU time 178.06,  WCT time 45.8, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.65/16.4086
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.13/19.1779
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 157.05
Info:Polynomial Selection (root optimized): Rootsieve time: 156.46
Info:Filtering - Merging: Merged matrix has 217913 rows and total weight 31782278 (145.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 28.82/8.85908
Info:Filtering - Merging: Total cpu/real time for replay: 7/5.58126
Info:Quadratic Characters: Total cpu/real time for characters: 8.2/3.13168
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11160/30.490/36.886/41.850/0.972
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7246/29.800/32.740/37.400/0.891
Info:Polynomial Selection (size optimized): Total time: 511.42
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 9234.54/2680.28
Info:root: Cleaning up computation data in /tmp/cado.e5sl18vj
21151626948419781429096778618546512723920871829868303063234510153621 10402898001845963074955329411977269153

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1061111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<160>

86249859348007326973839836189719393566066209291508330629858243<62>
12302757582822962415576273583586606774861411439073718542061005493382367835624649456021975253224877<98>

N=1061111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 160 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=86249859348007326973839836189719393566066209291508330629858243 (pp62)
 r2=12302757582822962415576273583586606774861411439073718542061005493382367835624649456021975253224877 (pp98)
Version: Msieve v. 1.52 (SVN 927)
Total time: 19.45 hours.
Scaled time: 150.18 units (timescale=7.722).
Factorization parameters were as follows:
n: 1061111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 10000000000000000000000000000000
deg: 5
c5: 95500
c0: -1
skew: 0.10
# Murphy_E = 4.341e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 675013 x 675261
Total sieving time: 19.26 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 19.45 hours.

GNFS, Msieve

152964038345144814216223621866869321922900204881287523581949406470710638878954588940035075379398511587704380592217<114>

166874756450872336985497273266548283657726422573487180073<57>
916639769839467504688693413204544484233483878164995703729<57>

N=152964038345144814216223621866869321922900204881287523581949406470710638878954588940035075379398511587704380592217
  ( 114 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=166874756450872336985497273266548283657726422573487180073 (pp57)
 r2=916639769839467504688693413204544484233483878164995703729 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 20.63 hours.
Scaled time: 161.94 units (timescale=7.849).
Factorization parameters were as follows:
n: 152964038345144814216223621866869321922900204881287523581949406470710638878954588940035075379398511587704380592217
m: 50000000000000000000000000000000
deg: 5
c5: 1528
c0: -5
skew: 0.32
# Murphy_E = 4.232e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 712950 x 713177
Total sieving time: 20.49 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 20.63 hours.

GNFS, Msieve

5485332462729366137928809616274450903072320023915049044194616923889681055932502533288608410059167537<100>

140550137889122706319790289000445098937474393<45>
39027585067590891651045209744548163444058949773493786009<56>

02/17/22 00:02:33, starting SIQS on c100: 5485332462729366137928809616274450903072320023915049044194616923889681055932502533288608410059167537
02/17/22 00:02:33, random seed: 4929037046852816603
02/17/22 00:02:33, ==== sieve params ====
02/17/22 00:02:33, n = 102 digits, 338 bits
02/17/22 00:02:33, factor base: 120240 primes (max prime = 3359437)
02/17/22 00:02:33, single large prime cutoff: 503915550 (150 * pmax)
02/17/22 00:02:33, double large prime range from 11285816956969 to 12570769302017866
02/17/22 00:02:33, DLP MFB = 1.85
02/17/22 00:02:33, allocating 8 large prime slices of factor base
02/17/22 00:02:33, buckets hold 2048 elements
02/17/22 00:02:33, large prime hashtables have 1572864 bytes
02/17/22 00:02:33, using AVX2 enabled 32k sieve core
02/17/22 00:02:33, sieve interval: 12 blocks of size 32768
02/17/22 00:02:33, polynomial A has ~ 13 factors
02/17/22 00:02:33, using multiplier of 73
02/17/22 00:02:33, using multiplier of 73
02/17/22 00:02:33, using Q2(x) polynomials for kN mod 8 = 1
02/17/22 00:02:33, using SPV correction of 21 bits, starting at offset 32
02/17/22 00:02:33, trial factoring cutoff at 100 bits
02/17/22 00:02:33, ==== sieving started (64 threads) ====
02/17/22 00:18:46, trial division touched 281475831 sieve locations out of 3325610164224
02/17/22 00:18:46, total reports = 281475831, total surviving reports = 69562164
02/17/22 00:18:46, total blocks sieved = 101491008, avg surviving reports per block = 0.69
02/17/22 00:18:46, dlp-ecm: 155 failures, 2132291 attempts, 58071300 outside range, 8895955 prp, 1698566 useful
02/17/22 00:18:46, 122521 relations found: 29209 full + 93312 from 2131975 partial, using 4228732 polys (2184 A polys)
02/17/22 00:18:46, on average, sieving found 0.51 rels/poly and 2219.30 rels/sec
02/17/22 00:18:46, trial division touched 281475831 sieve locations out of 3325610164224
02/17/22 00:18:46, ==== post processing stage (msieve-1.38) ====
02/17/22 00:18:46, QS elapsed time = 973.8147 seconds.
02/17/22 00:18:47, begin singleton removal with 2161184 relations
02/17/22 00:18:48, reduce to 329198 relations in 10 passes
02/17/22 00:18:49, failed to read relation 177058
02/17/22 00:18:50, failed to read relation 268564
02/17/22 00:18:50, recovered 329196 relations
02/17/22 00:18:50, recovered 316709 polynomials
02/17/22 00:18:51, attempting to build 122519 cycles
02/17/22 00:18:51, found 122519 cycles from 329196 relations in 7 passes
02/17/22 00:18:51, distribution of cycle lengths:
02/17/22 00:18:51,    length 1 : 29209
02/17/22 00:18:51,    length 2 : 20506
02/17/22 00:18:51,    length 3 : 19981
02/17/22 00:18:51,    length 4 : 16376
02/17/22 00:18:51,    length 5 : 12870
02/17/22 00:18:51,    length 6 : 8908
02/17/22 00:18:51,    length 7 : 5903
02/17/22 00:18:51,    length 9+: 8766
02/17/22 00:18:51, largest cycle: 24 relations
02/17/22 00:18:51, matrix is 120240 x 122519 (38.7 MB) with weight 9175285 (74.89/col)
02/17/22 00:18:51, sparse part has weight 9175285 (74.89/col)
02/17/22 00:18:51, filtering completed in 3 passes
02/17/22 00:18:51, matrix is 114525 x 114589 (35.6 MB) with weight 8417379 (73.46/col)
02/17/22 00:18:51, sparse part has weight 8417379 (73.46/col)
02/17/22 00:18:52, saving the first 48 matrix rows for later
02/17/22 00:18:52, matrix is 114477 x 114589 (30.5 MB) with weight 7469034 (65.18/col)
02/17/22 00:18:52, sparse part has weight 6846990 (59.75/col)
02/17/22 00:18:52, matrix includes 64 packed rows
02/17/22 00:18:52, using block size 45835 for processor cache size 12288 kB
02/17/22 00:18:52, commencing Lanczos iteration
02/17/22 00:18:52, memory use: 23.5 MB
02/17/22 00:19:22, lanczos halted after 1811 iterations (dim = 114473)
02/17/22 00:19:22, recovered 16 nontrivial dependencies
02/17/22 00:19:23, prp45 = 140550137889122706319790289000445098937474393
02/17/22 00:19:23, prp56 = 39027585067590891651045209744548163444058949773493786009
02/17/22 00:19:23, Lanczos elapsed time = 35.7850 seconds.
02/17/22 00:19:23, Sqrt elapsed time = 0.5360 seconds.
02/17/22 00:19:23, SIQS elapsed time = 1010.1247 seconds.

9430053383822509978749186267780733887029485900345025694346667834235485596173580146013793270733982369879830236335938829727<121>

94458630746391226460876648593991496945703970149525479945359<59>
99832628414241366996648260633799703231432220029336570068602353<62>

N=9430053383822509978749186267780733887029485900345025694346667834235485596173580146013793270733982369879830236335938829727
  ( 121 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=94458630746391226460876648593991496945703970149525479945359 (pp59)
 r2=99832628414241366996648260633799703231432220029336570068602353 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 15.97 hours.
Scaled time: 125.43 units (timescale=7.855).
Factorization parameters were as follows:
n: 9430053383822509978749186267780733887029485900345025694346667834235485596173580146013793270733982369879830236335938829727
m: 100000000000000000000000000000000
deg: 5
c5: 955
c0: -1
skew: 0.25
# Murphy_E = 5.439e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 571127 x 571354
Total sieving time: 15.81 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 15.97 hours.

GNFS, Msieve

43077964758079438454485584380645193314682616715836631122740772494803171589575437126970944084767308299190678497836998560680625909117913<134>

1402017878603566945645053427079048417246884859<46>
30725688606043887002198880827759692273164486882270627807565008735169536966685654426082107<89>

N=43077964758079438454485584380645193314682616715836631122740772494803171589575437126970944084767308299190678497836998560680625909117913
  ( 134 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=1402017878603566945645053427079048417246884859 (pp46)
 r2=30725688606043887002198880827759692273164486882270627807565008735169536966685654426082107 (pp89)
Version: Msieve v. 1.52 (SVN 927)
Total time: 22.22 hours.
Scaled time: 175.49 units (timescale=7.899).
Factorization parameters were as follows:
n: 43077964758079438454485584380645193314682616715836631122740772494803171589575437126970944084767308299190678497836998560680625909117913
m: 100000000000000000000000000000000
deg: 5
c5: 9550
c0: -1
skew: 0.16
# Murphy_E = 3.616e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 3700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 690864 x 691091
Total sieving time: 22.06 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,163.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 22.22 hours.

GNFS, Msieve

1728631104829121745143265499806124881464559843559846969668338278708960798198581349636157388327768339487809783920840910722094788317<130>

4799366301216188190572487772766732197265440841471790439831<58>
360179031217324724908977202802366312998288247364587445246272028995374507<72>

Number: 21222_166
N = 1728631104829121745143265499806124881464559843559846969668338278708960798198581349636157388327768339487809783920840910722094788317 (130 digits)
SNFS difficulty: 168 digits.
Divisors found:
r1=4799366301216188190572487772766732197265440841471790439831 (pp58)
r2=360179031217324724908977202802366312998288247364587445246272028995374507 (pp72)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 3.19 hours.
Factorization parameters were as follows:
n: 1728631104829121745143265499806124881464559843559846969668338278708960798198581349636157388327768339487809783920840910722094788317
m: 10000000000000000000000000000000000000000000000000000000
deg: 3
c3: 955
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 2174464 relations
Pruned matrix : 1759865 x 1760090
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 1.92 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 1.17 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,168,3,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 3.19 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

183896789472530236742304592012201578108714961590122705803879620084527242664319384715668610105985694597817483685654428861213242257969607763505952549313099<153>

399434228257305221840569231354422203602201<42>
460393167292785611497851125036791136427360598164676690803967076233993089995975805182115986686440572190911255299<111>

N=183896789472530236742304592012201578108714961590122705803879620084527242664319384715668610105985694597817483685654428861213242257969607763505952549313099
  ( 153 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=399434228257305221840569231354422203602201 (pp42)
 r2=460393167292785611497851125036791136427360598164676690803967076233993089995975805182115986686440572190911255299 (pp111)
Version: Msieve v. 1.52 (SVN 927)
Total time: 33.89 hours.
Scaled time: 264.77 units (timescale=7.813).
Factorization parameters were as follows:
n: 183896789472530236742304592012201578108714961590122705803879620084527242664319384715668610105985694597817483685654428861213242257969607763505952549313099
m: 1000000000000000000000000000000000
deg: 5
c5: 9550
c0: -1
skew: 0.16
# Murphy_E = 2.301e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 4900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 991865 x 992099
Total sieving time: 33.61 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 33.89 hours.

GNFS, Msieve

32612060065422255546536954093727132589244710385800683534729501428499197740143297477172139600287605700986582425374792997426815549<128>

401144693782319743646100043557477171449<39>
81297498311467422325939904947645251671602704817626826984749105169737339322712078611660901<89>

Run 407 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3029713634
Step 1 took 4725ms
Step 2 took 2664ms
********** Factor found in step 2: 401144693782319743646100043557477171449
Found prime factor of 39 digits: 401144693782319743646100043557477171449
Prime cofactor 81297498311467422325939904947645251671602704817626826984749105169737339322712078611660901 has 89 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

21842924076555565203945527492220697077354769939514540853409540199877892207436759004216651003573226583<101>

341791895231208765941101129410481898563333<42>
63907086099217439582801590173788602364944741805280798510251<59>

N=21842924076555565203945527492220697077354769939514540853409540199877892207436759004216651003573226583
  ( 101 digits)
Divisors found:
p42 factor: 341791895231208765941101129410481898563333
p59 factor: 63907086099217439582801590173788602364944741805280798510251
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.42 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 21842924076555565203945527492220697077354769939514540853409540199877892207436759004216651003573226583
skew: 943153.74
type: gnfs
c0: 3543562987330531309356320036
c1: 8253482995314092689156
c2: -12228335178501263
c3: -20253357466
c4: 10920
Y0: -1189249996903842415725171
Y1: 6640944842023
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [970000, 1370001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 188749 x 188974
Total sieving time: 4.26 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1940000,1940000,26,26,52,52,2.5,2.5,100000
total time: 4.42 hours.
 --------- CPU info (if available) ----------

4542027123782216385878709561085373380429630597030315846829246175648481536478142973000567415835293583465672262378877923032977<124>

21802232906915656834242179733481337029459<41>

208328529613197910856716566150264157851855980629245035972885179400602033920553179403<84>

Run 142 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1655201896
Step 1 took 9208ms
Step 2 took 4568ms
********** Factor found in step 2: 21802232906915656834242179733481337029459
Found prime factor of 41 digits: 21802232906915656834242179733481337029459
Composite cofactor 208328529613197910856716566150264157851855980629245035972885179400602033920553179403 has 84 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

208328529613197910856716566150264157851855980629245035972885179400602033920553179403<84>

24722476961207896466659764910332551673139<41>
8426685155378514614333391870591212431154377<43>

24722476961207896466659764910332551673139

31012766543362504818344749603572410912986620345608868287319155790278358252334806683299901246258577627877327134676916791935511631086417804640354201515436401583826858484687<170>

19438810105875420687369179387399846978814573810187875932903168891762558102759<77>
1595404573348284923230503549525907937367798381737632831935707786250120246142980916605937355993<94>

Number: n
N=31012766543362504818344749603572410912986620345608868287319155790278358252334806683299901246258577627877327134676916791935511631086417804640354201515436401583826858484687  ( 170 digits)
SNFS difficulty: 176 digits.
Divisors found:

Tue Feb 22 23:57:59 2022  p77 factor: 19438810105875420687369179387399846978814573810187875932903168891762558102759
Tue Feb 22 23:57:59 2022  p94 factor: 1595404573348284923230503549525907937367798381737632831935707786250120246142980916605937355993
Tue Feb 22 23:57:59 2022  elapsed time 00:24:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 191x10^174-2 = 212(174)
#
n: 31012766543362504818344749603572410912986620345608868287319155790278358252334806683299901246258577627877327134676916791935511631086417804640354201515436401583826858484687
m: 50000000000000000000000000000000000
deg: 5
c5: 1528
c0: -5
skew: 0.32
# Murphy_E = 1.082e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5446343 hash collisions in 37793782 relations (33524645 unique)
Msieve: matrix is 925905 x 926153 (300.0 MB)

Sieving start time : 2022/02/22 20:18:49
Sieving end time  : 2022/02/22 23:32:41

Total sieving time: 3hrs 13min 52secs.

Total relation processing time: 0hrs 12min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376)
[    0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

11654638147131192274516226541421015990684711400504933935692533142771324993918381893733405226915090449521028462642528454489639718156899945075959943420367863628041832003<167>

2665253565461193548483626646343941212690168647403291441649<58>
4372806511981715376646750294183915924830677494960689375205625205400234060863434210855388891854140522139250547<109>

umber: n
N=11654638147131192274516226541421015990684711400504933935692533142771324993918381893733405226915090449521028462642528454489639718156899945075959943420367863628041832003  ( 167 digits)
SNFS difficulty: 179 digits.
Divisors found:

Fri Feb 25 06:56:29 2022  p58 factor: 2665253565461193548483626646343941212690168647403291441649
Fri Feb 25 06:56:29 2022  p109 factor: 4372806511981715376646750294183915924830677494960689375205625205400234060863434210855388891854140522139250547
Fri Feb 25 06:56:29 2022  elapsed time 00:30:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 191x10^178-2 = 212(178)
#
n: 11654638147131192274516226541421015990684711400504933935692533142771324993918381893733405226915090449521028462642528454489639718156899945075959943420367863628041832003
m: 100000000000000000000000000000000000
deg: 5
c5: 95500
c0: -1
skew: 0.10
# Murphy_E = 7.04e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6684009 hash collisions in 36879170 relations (31692062 unique)
Msieve: matrix is 1091263 x 1091489 (364.6 MB)

Sieving start time : 2022/02/25 03:19:02
Sieving end time  : 2022/02/25 06:25:24

Total sieving time: 3hrs 6min 22secs.
Total relation processing time: 0hrs 18min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

91777506031142348949246703183185547610695119765974275204624712617477730916550596606920642198204818460273103200321549295255601389705567939027028714052546023185052123218139<170>

201657212056339878856214027081732339220225169194902586936926661773<66>
455116408162486872266670710489161441054014298411016491685508758483918736958690808788411175663751838510343<105>

Number: n
N=91777506031142348949246703183185547610695119765974275204624712617477730916550596606920642198204818460273103200321549295255601389705567939027028714052546023185052123218139  ( 170 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sat Feb 19 13:43:55 2022  p66 factor: 201657212056339878856214027081732339220225169194902586936926661773
Sat Feb 19 13:43:55 2022  p105 factor: 455116408162486872266670710489161441054014298411016491685508758483918736958690808788411175663751838510343
Sat Feb 19 13:43:55 2022  elapsed time 00:23:09 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.292).
Factorization parameters were as follows:
#
# N = 191x10^180-2 = 212(180)
#
n: 91777506031142348949246703183185547610695119765974275204624712617477730916550596606920642198204818460273103200321549295255601389705567939027028714052546023185052123218139
m: 1000000000000000000000000000000000000
deg: 5
c5: 191
c0: -2
skew: 0.40
# Murphy_E = 7.216e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4237821 hash collisions in 37000541 relations (34175801 unique)
Msieve: matrix is 871988 x 872215 (291.4 MB)

Sieving start time : 2022/02/19 08:50:49
Sieving end time  : 2022/02/19 13:20:11

Total sieving time: 4hrs 29min 22secs.

Total relation processing time: 0hrs 11min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 34sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376)
[    0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

2172972722424731458128948177158603706958330705381256936437492338014936387781523232417026446335479077678229862900655756236115821188232709947967510037579<151>

703460870764577395701386200438238863190319287679259088170612583<63>
3088974543904583272645292482862925559269682914991356513361178970502554974147031518278013<88>

Number: n
N=2172972722424731458128948177158603706958330705381256936437492338014936387781523232417026446335479077678229862900655756236115821188232709947967510037579  ( 151 digits)
SNFS difficulty: 183 digits.
Divisors found:

Mon Apr 18 07:48:33 2022  p63 factor: 703460870764577395701386200438238863190319287679259088170612583
Mon Apr 18 07:48:33 2022  p88 factor: 3088974543904583272645292482862925559269682914991356513361178970502554974147031518278013
Mon Apr 18 07:48:33 2022  elapsed time 00:28:18 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 191x10^182-2 = 212(182)
#
n: 2172972722424731458128948177158603706958330705381256936437492338014936387781523232417026446335479077678229862900655756236115821188232709947967510037579
m: 1000000000000000000000000000000000000
deg: 5
c5: 9550
c0: -1
skew: 0.16
# Murphy_E = 5.766e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3820497 hash collisions in 30893575 relations (28844096 unique)
Msieve: matrix is 982724 x 982953 (335.9 MB)

Sieving start time : 2022/04/18 03:18:39
Sieving end time  : 2022/04/18 07:19:42

Total sieving time: 4hrs 1min 3secs.

Total relation processing time: 0hrs 15min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 32sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

149182291513559780523268218082863810465492494171796453819716002324380859786002332559216712618124347829856373592076454637923924498199998201<138>

19088383434096193895928850018743064662169125365074432148228914112221<68>
7815344449079238466259603014906082284994663256263170210666485882802381<70>

Number: n
N=149182291513559780523268218082863810465492494171796453819716002324380859786002332559216712618124347829856373592076454637923924498199998201  ( 138 digits)
SNFS difficulty: 184 digits.
Divisors found:

Tue May 31 12:39:34 2022  p68 factor: 19088383434096193895928850018743064662169125365074432148228914112221
Tue May 31 12:39:34 2022  p70 factor: 7815344449079238466259603014906082284994663256263170210666485882802381
Tue May 31 12:39:34 2022  elapsed time 00:33:53 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 191x10^183-2 = 212(183)
#
n: 149182291513559780523268218082863810465492494171796453819716002324380859786002332559216712618124347829856373592076454637923924498199998201
m: 1000000000000000000000000000000000000
deg: 5
c5: 95500
c0: -1
skew: 0.10
# Murphy_E = 4.416e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3335196 hash collisions in 28736158 relations (27065912 unique)
Msieve: matrix is 1118150 x 1118376 (386.8 MB)

Sieving start time : 2022/05/31 06:34:51
Sieving end time  : 2022/05/31 12:04:25

Total sieving time: 5hrs 29min 34secs.

Total relation processing time: 0hrs 20min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 54sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

263569884948523909427525278802478941120378858840166605178138802853055560235525939246137752904316272554925373174233953840476658439319008191121888014874550527<156>

1163399096873280348278172343842494166875237323<46>
226551563996299409809643070183102330445236096706869955239526841292936108460330132540877659579804663610298097949<111>

Number: n
N=263569884948523909427525278802478941120378858840166605178138802853055560235525939246137752904316272554925373174233953840476658439319008191121888014874550527  ( 156 digits)
SNFS difficulty: 188 digits.
Divisors found:

Thu Mar 10 17:03:33 2022  p46 factor: 1163399096873280348278172343842494166875237323
Thu Mar 10 17:03:33 2022  p111 factor: 226551563996299409809643070183102330445236096706869955239526841292936108460330132540877659579804663610298097949
Thu Mar 10 17:03:33 2022  elapsed time 00:36:59 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 191x10^187-2 = 212(187)
#
n: 263569884948523909427525278802478941120378858840166605178138802853055560235525939246137752904316272554925373174233953840476658439319008191121888014874550527
m: 10000000000000000000000000000000000000
deg: 5
c5: 9550
c0: -1
skew: 0.16
# Murphy_E = 3.604e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 24950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4781301 hash collisions in 38261655 relations (34854485 unique)
Msieve: matrix is 1222919 x 1223147 (415.3 MB)

Sieving start time : 2022/03/10 09:57:28
Sieving end time  : 2022/03/10 16:25:56

Total sieving time: 6hrs 28min 28secs.

Total relation processing time: 0hrs 24min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 50sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116350] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798496)
[    0.152039] smpboot: Total of 16 processors activated (102387.96 BogoMIPS)

4764016375391898814427073440129031278639823921198783547574685880086359733739220940838835168217261152718373296532119270266959489443896962686793261<145>

1703099654798333365040098357227465720698691099271793089<55>
2797262251782919467413368678397965401874913991921043888740516996266138090882972850142007149<91>

Number: n
N=4764016375391898814427073440129031278639823921198783547574685880086359733739220940838835168217261152718373296532119270266959489443896962686793261  ( 145 digits)
SNFS difficulty: 189 digits.
Divisors found:

Sun May  8 16:20:30 2022  p55 factor: 1703099654798333365040098357227465720698691099271793089
Sun May  8 16:20:30 2022  p91 factor: 2797262251782919467413368678397965401874913991921043888740516996266138090882972850142007149
Sun May  8 16:20:30 2022  elapsed time 00:42:34 (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 = 191x10^188-2 = 212(188)
#
n: 4764016375391898814427073440129031278639823921198783547574685880086359733739220940838835168217261152718373296532119270266959489443896962686793261
m: 10000000000000000000000000000000000000
deg: 5
c5: 95500
c0: -1
skew: 0.10
# Murphy_E = 2.759e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3848776 hash collisions in 29260287 relations (26982308 unique)
Msieve: matrix is 1355278 x 1355504 (469.4 MB)

Sieving start time : 2022/05/08 09:48:39
Sieving end time  : 2022/05/08 15:37:26

Total sieving time: 5hrs 48min 47secs.

Total relation processing time: 0hrs 33min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 2sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

50694049309544394265298044117412089485029675659472517534965490623113736797451474780135130694832811290790993318311969905464356695433814459673361519224749440016544839045862614455087009833<185>

38269521260168041536667043688153343455965429832307703255495946490279285995089570648087<86>
1324658570064427207930670858157255101419603468102658905538946160233291975686387117594238469309172159<100>

Number: n
N=50694049309544394265298044117412089485029675659472517534965490623113736797451474780135130694832811290790993318311969905464356695433814459673361519224749440016544839045862614455087009833  ( 185 digits)
SNFS difficulty: 192 digits.
Divisors found:

Mon Feb 21 08:23:27 2022  p86 factor: 38269521260168041536667043688153343455965429832307703255495946490279285995089570648087
Mon Feb 21 08:23:27 2022  p100 factor: 1324658570064427207930670858157255101419603468102658905538946160233291975686387117594238469309172159
Mon Feb 21 08:23:27 2022  elapsed time 00:45:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.273).
Factorization parameters were as follows:
#
# N = 191x10^190-2 = 212(190)
#
n: 50694049309544394265298044117412089485029675659472517534965490623113736797451474780135130694832811290790993318311969905464356695433814459673361519224749440016544839045862614455087009833
m: 100000000000000000000000000000000000000
deg: 5
c5: 191
c0: -2
skew: 0.40
# Murphy_E = 2.811e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4552897 hash collisions in 34029489 relations (31386435 unique)
Msieve: matrix is 1367020 x 1367245 (470.6 MB)

Sieving start time : 2022/02/21 02:01:40
Sieving end time  : 2022/02/21 07:36:57

Total sieving time: 5hrs 35min 17secs.

Total relation processing time: 0hrs 35min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 38sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376)
[    0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

11874021316855517124548362257720225125529860483912498778319981012092520190392285806085003213620050247988270969363583173462656459751<131>

2225102459238166071227685788493122051<37>
5336393058017185605651120827969331981808577255904573504375640285958545092958759073101943802701<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3573808048
Step 1 took 4813ms
Step 2 took 2906ms
********** Factor found in step 2: 2225102459238166071227685788493122051
Found prime factor of 37 digits: 2225102459238166071227685788493122051
Prime cofactor 5336393058017185605651120827969331981808577255904573504375640285958545092958759073101943802701 has 94 digits
 

GMP-ECM

260240704831324846033314477359788675143427012731759965686701716662662542373036522526451997041867448714094442796225647657222724241452204722955878241627535443155231630562808101966989<180>

985702857042736787645278118754052510471069661240890134562718772638255746222969872071929<87>
264015370323758407465687757234327503833419986429516914773800460590678111560256656441330425141<93>

Number: n
N=260240704831324846033314477359788675143427012731759965686701716662662542373036522526451997041867448714094442796225647657222724241452204722955878241627535443155231630562808101966989  ( 180 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Feb 22 03:38:55 2022  p87 factor: 985702857042736787645278118754052510471069661240890134562718772638255746222969872071929
Tue Feb 22 03:38:55 2022  p93 factor: 264015370323758407465687757234327503833419986429516914773800460590678111560256656441330425141
Tue Feb 22 03:38:55 2022  elapsed time 01:13:29 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
#
# N = 191x10^195-2 = 212(195)
#
n: 260240704831324846033314477359788675143427012731759965686701716662662542373036522526451997041867448714094442796225647657222724241452204722955878241627535443155231630562808101966989
m: 1000000000000000000000000000000000000000
deg: 5
c5: 191
c0: -2
skew: 0.40
# Murphy_E = 1.743e-11
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5240736 hash collisions in 35328397 relations (31919066 unique)
Msieve: matrix is 1673716 x 1673942 (577.6 MB)

Sieving start time : 2022/02/21 16:43:20
Sieving end time  : 2022/02/22 02:24:49

Total sieving time: 9hrs 41min 29secs.

Total relation processing time: 0hrs 57min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 6sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376)
[    0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

29723000311235605353252412075941487706193588546529723000311235605353252412075941487706193588546529723000311235605353252412075941487706193588546529723000311235605353252412075941487706193588546529723<197>

230834363519089547115937454167129121750339602897<48>
410841954453670782948388754834977028831205009841293839<54>
313413282679087761532463677085897937659959704296074903942243216622392071694521208791754902120581<96>

Number: n
N=29723000311235605353252412075941487706193588546529723000311235605353252412075941487706193588546529723000311235605353252412075941487706193588546529723000311235605353252412075941487706193588546529723  ( 197 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sun Feb 20 11:43:48 2022  found factor: 410841954453670782948388754834977028831205009841293839
Sun Feb 20 11:46:27 2022  p48 factor: 230834363519089547115937454167129121750339602897
Sun Feb 20 11:46:27 2022  p54 factor: 410841954453670782948388754834977028831205009841293839
Sun Feb 20 11:46:27 2022  p96 factor: 313413282679087761532463677085897937659959704296074903942243216622392071694521208791754902120581
Sun Feb 20 11:46:27 2022  elapsed time 01:13:58 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 191x10^198-2 = 212(198)
#
n: 29723000311235605353252412075941487706193588546529723000311235605353252412075941487706193588546529723000311235605353252412075941487706193588546529723000311235605353252412075941487706193588546529723
m: 1000000000000000000000000000000000
deg: 6
c6: 191
c0: -2
skew: 0.47
# Murphy_E = 1.465e-11
type: snfs
lss: 1
rlim: 15200000
alim: 15200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15200000/15200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4211450 hash collisions in 34057486 relations (31539212 unique)
Msieve: matrix is 1700686 x 1700911 (592.0 MB)

Sieving start time : 2022/02/20 00:28:35
Sieving end time  : 2022/02/20 10:31:55

Total sieving time: 10hrs 3min 20secs.

Total relation processing time: 0hrs 59min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 24sec.

Prototype def-par.txt line would be:
snfs,200,6,0,0,0,0,0,0,0,0,15200000,15200000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118211] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197528K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529708K reserved, 0K cma-reserved)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.18 BogoMIPS (lpj=12798376)
[    0.152049] smpboot: Total of 16 processors activated (102387.00 BogoMIPS)

7345582116239082337759882216847893125155904619838748514546640512372390425643738169110351481721055392138804853041215013481846324568709953909739344340703<151>

17211815966214588350207409104851534757379075930599018254837952801053<68>
426775543653143268679223344713909333416345571600110298261128734242914988139271179051<84>

7345582116239082337759882216847893125155904619838748514546640512372390425643738169110351481721055392138804853041215013481846324568709953909739344340703=17211815966214588350207409104851534757379075930599018254837952801053*426775543653143268679223344713909333416345571600110298261128734242914988139271179051

cado polynomial
n: 7345582116239082337759882216847893125155904619838748514546640512372390425643738169110351481721055392138804853041215013481846324568709953909739344340703
skew: 0.40
type: snfs
c0: -2
c5: 191
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 191*x^5-2
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16500000
tasks.lim1 = 16500000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 17211815966214588350207409104851534757379075930599018254837952801053 426775543653143268679223344713909333416345571600110298261128734242914988139271179051
Info:Square Root: Total cpu/real time for sqrt: 3184.93/967.882
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 906.36/820.263
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 658.1999999999999s
Info:Square Root: Total cpu/real time for sqrt: 3184.93/967.882
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 217.73/252.595
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 251.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 650.17/708.038
Info:Filtering - Merging: Merged matrix has 3890479 rows and total weight 664618463 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1145.31/317.456
Info:Filtering - Merging: Total cpu/real time for replay: 162.49/155.812
Info:Generate Factor Base: Total cpu/real time for makefb: 6.95/3.03951
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50275201
Info:Lattice Sieving: Average J: 1894.45 for 5561628 special-q, max bucket fill -bkmult 1.0,1s:1.133390
Info:Lattice Sieving: Total time: 1.94965e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 289363/74055.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 184769.48, WCT time 47012.87, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (121856 iterations)
Info:Linear Algebra: Lingen CPU time 861.44, WCT time 218.66
Info:Linear Algebra: Mksol: CPU time 102119.48,  WCT time 26148.19, iteration CPU time 0.41, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (60928 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 142.33/62.5278
Info:Generate Free Relations: Total cpu/real time for freerel: 235.47/60.4208
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.0957e+06/223135
Info:root: Cleaning up computation data in /tmp/cado.kagkgugm
17211815966214588350207409104851534757379075930599018254837952801053 426775543653143268679223344713909333416345571600110298261128734242914988139271179051

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)

306647513010393848496704965393331614979253481350991687638923854136743528968766852944185956599856282519332985697046533743090091500812899854043574791809150544721982091407165421<174>

93757235670951464435608544669229812485096453648157833252456728851<65>
3270654374736451070731272237569950820778931067663465044671243075960224002398792169261394071964786476506467071<109>

Number: n
N=306647513010393848496704965393331614979253481350991687638923854136743528968766852944185956599856282519332985697046533743090091500812899854043574791809150544721982091407165421  ( 174 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu Feb 24 02:09:23 2022  p65 factor: 93757235670951464435608544669229812485096453648157833252456728851
Thu Feb 24 02:09:23 2022  p109 factor: 3270654374736451070731272237569950820778931067663465044671243075960224002398792169261394071964786476506467071
Thu Feb 24 02:09:23 2022  elapsed time 01:27:09 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 191x10^201-2 = 212(201)
#
n: 306647513010393848496704965393331614979253481350991687638923854136743528968766852944185956599856282519332985697046533743090091500812899854043574791809150544721982091407165421
m: 10000000000000000000000000000000000000000
deg: 5
c5: 955
c0: -1
skew: 0.25
# Murphy_E = 1.294e-11
type: snfs
lss: 1
rlim: 16900000
alim: 16900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16900000/16900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4457885 hash collisions in 35738869 relations (32537075 unique)
Msieve: matrix is 1880621 x 1880846 (656.5 MB)

Sieving start time : 2022/02/23 13:21:44
Sieving end time  : 2022/02/24 00:41:18

Total sieving time: 11hrs 19min 34secs.

Total relation processing time: 1hrs 12min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 41sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16900000,16900000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117462] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154119] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798724)
[    0.152036] smpboot: Total of 16 processors activated (102389.79 BogoMIPS)

1645759571221839266101284142259737228287164871537214004572328226862806125342240146305254062951237150443042441638532402053238540618913983519602436043092911154157087<163>

33038130421697654367167836154148666773803<41>
49813943773918681894580342615298830236433768650751909895793998204894263611265642155032062929192186953017403136152784145629<122>

Run 463 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3843246990
Step 1 took 14069ms
Step 2 took 5953ms
********** Factor found in step 2: 33038130421697654367167836154148666773803
Found prime factor of 41 digits: 33038130421697654367167836154148666773803
Prime cofactor 49813943773918681894580342615298830236433768650751909895793998204894263611265642155032062929192186953017403136152784145629 has 122 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

47202082122380591572515377655431812809525118344889295073658046729904428047803374071379811354405618297704993873035204710962304441434641903770594219106813<152>

48180623734860307116636995646026516602753<41>
64725216537835649215457072854710901749499<41>
15136143140075346670891844241720942949323808081485944851438549156277479<71>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 47202082122380591572515377655431812809525118344889295073658046729904428047803374071379811354405618297704993873035204710962304441434641903770594219106813 (152 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3538952531
Step 1 took 2922ms
Step 2 took 3078ms
********** Factor found in step 2: 64725216537835649215457072854710901749499
Found probable prime factor of 41 digits: 64725216537835649215457072854710901749499
Composite cofactor 729268817428957266021692540414688583572723401928683232245074860876458482182372343756924753299424107226883299687 has 111 digits


Fri Feb 25 14:09:57 2022  Msieve v. 1.53 (SVN unknown)
Fri Feb 25 14:09:57 2022  random seeds: 3fc47768 1cc24be3
Fri Feb 25 14:09:57 2022  factoring 729268817428957266021692540414688583572723401928683232245074860876458482182372343756924753299424107226883299687 (111 digits)
Fri Feb 25 14:09:58 2022  searching for 15-digit factors
Fri Feb 25 14:09:58 2022  commencing number field sieve (111-digit input)
Fri Feb 25 14:09:58 2022  R0: -2278318236758175311385
Fri Feb 25 14:09:58 2022  R1: 94844164619
Fri Feb 25 14:09:58 2022  A0: -182115921324137980852653802
Fri Feb 25 14:09:58 2022  A1: 13059638097303398164571
Fri Feb 25 14:09:58 2022  A2: 1333568579314769422
Fri Feb 25 14:09:58 2022  A3: -27222344059841
Fri Feb 25 14:09:58 2022  A4: -478975245
Fri Feb 25 14:09:58 2022  A5: 11880
Fri Feb 25 14:09:58 2022  skew 34862.83, size 1.103e-10, alpha -5.580, combined = 8.227e-10 rroots = 3
Fri Feb 25 14:09:58 2022  
Fri Feb 25 14:09:58 2022  commencing square root phase
Fri Feb 25 14:09:58 2022  reading relations for dependency 1
Fri Feb 25 14:09:58 2022  read 186973 cycles
Fri Feb 25 14:09:58 2022  cycles contain 645356 unique relations
Fri Feb 25 14:10:05 2022  read 645356 relations
Fri Feb 25 14:10:08 2022  multiplying 645356 relations
Fri Feb 25 14:10:29 2022  multiply complete, coefficients have about 27.28 million bits
Fri Feb 25 14:10:29 2022  initial square root is modulo 68284621
Fri Feb 25 14:10:59 2022  GCD is N, no factor found
Fri Feb 25 14:10:59 2022  reading relations for dependency 2
Fri Feb 25 14:10:59 2022  read 186785 cycles
Fri Feb 25 14:10:59 2022  cycles contain 644634 unique relations
Fri Feb 25 14:11:07 2022  read 644634 relations
Fri Feb 25 14:11:09 2022  multiplying 644634 relations
Fri Feb 25 14:11:30 2022  multiply complete, coefficients have about 27.25 million bits
Fri Feb 25 14:11:30 2022  initial square root is modulo 66919513
Fri Feb 25 14:12:02 2022  sqrtTime: 124
Fri Feb 25 14:12:02 2022  p41 factor: 48180623734860307116636995646026516602753
Fri Feb 25 14:12:02 2022  p71 factor: 15136143140075346670891844241720942949323808081485944851438549156277479
Fri Feb 25 14:12:02 2022  elapsed time 00:02:05
Fri Feb 25 14:12:02 2022 -> Computing 1.64577e+09 scale for this machine...
Fri Feb 25 14:12:02 2022 -> procrels -speedtest> PIPE
Fri Feb 25 14:12:04 2022 -> Factorization summary written to g111-c44.txt

7233286070965107336957907651071817920017057089786510663437003705508621654913482969716628536368590518132240125873811798691989552879810709004295562878759970690913643749231<169>

34934768167844268589728185306668825801<38>
207051211452520543147515539134891371051277537437006491308315225297572178877580796079846582692095745946275730665558763734752151629431<132>

Run 6 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:584542384
Step 1 took 13971ms
Step 2 took 6187ms
********** Factor found in step 2: 34934768167844268589728185306668825801
Found prime factor of 38 digits: 34934768167844268589728185306668825801
Prime cofactor 207051211452520543147515539134891371051277537437006491308315225297572178877580796079846582692095745946275730665558763734752151629431 has 132 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

705758605466236300618538056020859360993551714175837209148813068204107396212279877753287164522500732198031900647083644062240340609752728998503797331061233938311361741<165>

17668515267078596478713320302332197159321<41>
39944420614745297252031704323081310018350142526799619136928447713774750043188953826445410883811157147772420569560183972296021<125>

12/08/24 11:02:28 v1.34.5 @ TRIGKEY,
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, ****************************
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, Starting factorization of 1909999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, using pretesting plan: normal
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, ****************************
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, div: found prime factor = 2
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, div: found prime factor = 3
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, div: found prime factor = 3
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, div: found prime factor = 163
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C207
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C207
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, prp5 = 68917
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C202
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C202
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C202
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
12/08/24 11:02:28 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 62.15
12/08/24 11:02:29 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C202 input, B1=2K, B2=gmp-ecm default
12/08/24 11:02:29 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
12/08/24 11:02:29 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 62.15
12/08/24 11:02:29 v1.34.5 @ TRIGKEY, prp21 = 151648340008637740369 (curve 2 stg2 B1=11000 sigma=1680275690 thread=0)
12/08/24 11:02:29 v1.34.5 @ TRIGKEY, Finished 2 curves using Lenstra ECM method on C202 input, B1=11K, B2=gmp-ecm default
12/08/24 11:02:29 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.31
12/08/24 11:02:29 v1.34.5 @ TRIGKEY, scheduled 72 curves at B1=11000 toward target pretesting depth of 56.00
12/08/24 11:02:31 v1.34.5 @ TRIGKEY, Finished 72 curves using Lenstra ECM method on C182 input, B1=11K, B2=gmp-ecm default
12/08/24 11:02:31 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
12/08/24 11:02:31 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 56.00
12/08/24 11:02:31 v1.34.5 @ TRIGKEY, prp17 = 88257790452935629 (curve 4 stg2 B1=50000 sigma=363920907 thread=0)
12/08/24 11:02:31 v1.34.5 @ TRIGKEY, Finished 4 curves using Lenstra ECM method on C182 input, B1=50K, B2=gmp-ecm default
12/08/24 11:02:31 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.34
12/08/24 11:02:31 v1.34.5 @ TRIGKEY, scheduled 210 curves at B1=50000 toward target pretesting depth of 50.77
12/08/24 11:03:09 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c211: 1909999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999998
12/08/24 11:03:09 v1.34.5 @ TRIGKEY, nfs: input divides 191*10^208 - 2
12/08/24 11:03:09 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 705758605466236300618538056020859360993551714175837209148813068204107396212279877753287164522500732198031900647083644062240340609752728998503797331061233938311361741
12/08/24 11:03:09 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c165: 705758605466236300618538056020859360993551714175837209148813068204107396212279877753287164522500732198031900647083644062240340609752728998503797331061233938311361741
12/08/24 11:03:09 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 705758605466236300618538056020859360993551714175837209148813068204107396212279877753287164522500732198031900647083644062240340609752728998503797331061233938311361741
# 191*10^208-2, difficulty: 213.28, anorm: -4.08e+026, rnorm: 3.15e+047
# scaled difficulty: 216.76, suggest sieving rational side
# size = 7.278e-015, alpha = 0.742, combined = 4.030e-012, rroots = 1
type: snfs
size: 213
skew: 0.1009
c5: 95500
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 705758605466236300618538056020859360993551714175837209148813068204107396212279877753287164522500732198031900647083644062240340609752728998503797331061233938311361741
# 191*10^208-2, difficulty: 211.68, anorm: 3.75e+026, rnorm: 7.04e+047
# scaled difficulty: 215.22, suggest sieving rational side
# size = 6.656e-015, alpha = 1.011, combined = 3.755e-012, rroots = 1
type: snfs
size: 211
skew: 0.5046
c5: 764
c0: -25
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
n: 705758605466236300618538056020859360993551714175837209148813068204107396212279877753287164522500732198031900647083644062240340609752728998503797331061233938311361741
# 191*10^208-2, difficulty: 211.68, anorm: 2.63e+032, rnorm: 7.04e+040
# scaled difficulty: 213.08, suggest sieving rational side
# size = 9.086e-011, alpha = 0.591, combined = 3.131e-012, rroots = 2
type: snfs
size: 211
skew: 0.5039
c6: 1528
c0: -25
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
12/08/24 11:03:11 v1.34.5 @ TRIGKEY, test: fb generation took 1.8372 seconds
12/08/24 11:03:11 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23802000
skew: 0.1009
c5: 95500
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
12/08/24 11:06:21 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
12/08/24 11:06:22 v1.34.5 @ TRIGKEY, test: fb generation took 1.7118 seconds
12/08/24 11:06:22 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 0.5046
c5: 764
c0: -25
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
12/08/24 11:09:15 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
12/08/24 11:09:18 v1.34.5 @ TRIGKEY, test: fb generation took 2.4903 seconds
12/08/24 11:09:18 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.5039
c6: 1528
c0: -25
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
12/08/24 11:12:08 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
12/08/24 11:12:08 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 705758605466236300618538056020859360993551714175837209148813068204107396212279877753287164522500732198031900647083644062240340609752728998503797331061233938311361741
# 191*10^208-2, difficulty: 213.28, anorm: -4.08e+026, rnorm: 3.15e+047
# scaled difficulty: 216.76, suggest sieving rational side
# size = 7.278e-015, alpha = 0.742, combined = 4.030e-012, rroots = 1
type: snfs
size: 213
skew: 0.1009
c5: 95500
c0: -1
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
12/10/24 20:29:37 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/10/24 20:33:27 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 47125501
12/10/24 23:56:16 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
12/11/24 00:02:51 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
12/11/24 05:53:43 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
12/11/24 06:05:53 v1.34.5 @ TRIGKEY, prp125 = 39944420614745297252031704323081310018350142526799619136928447713774750043188953826445410883811157147772420569560183972296021
12/11/24 06:05:53 v1.34.5 @ TRIGKEY, prp41 = 17668515267078596478713320302332197159321
12/11/24 06:05:53 v1.34.5 @ TRIGKEY, NFS elapsed time = 241364.3735 seconds.
12/11/24 06:05:53 v1.34.5 @ TRIGKEY,
12/11/24 06:05:53 v1.34.5 @ TRIGKEY,
12/08/24 11:12:08 v1.34.5 @ TRIGKEY, test: test sieving took 539.16 seconds

YAFU

340938039220491322808072054622860642961023285225536242759246970401778218750036315108744632755931712615902739879344235406006852078576232109910581661475725991483449451839923526249<177>

3076532806830134479470103028452655648965060806585794718010159268007224204390689838751315886062652531453003935127443657998366869403010396410407379337872706566179454760113<169>

8560069099117270925126076020262748348667<40>

359405136945377210040375936833222081123466616827691137670006717293414675712163197168982544064001620269536381116228082319737686339<129>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 3076532806830134479470103028452655648965060806585794718010159268007224204390689838751315886062652531453003935127443657998366869403010396410407379337872706566179454760113 (169 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3374801315
Step 1 took 31191ms
Step 2 took 13291ms
Run 2 out of 0:
...
Step 2 took 13205ms
Run 13 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2849051972
Step 1 took 29420ms
Step 2 took 13296ms
Run 14 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1324869398
Step 1 took 29496ms
Step 2 took 13222ms
********** Factor found in step 2: 8560069099117270925126076020262748348667
Found prime factor of 40 digits: 8560069099117270925126076020262748348667
Composite cofactor 359405136945377210040375936833222081123466616827691137670006717293414675712163197168982544064001620269536381116228082319737686339 has 129 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

359405136945377210040375936833222081123466616827691137670006717293414675712163197168982544064001620269536381116228082319737686339<129>

6601463974379278751142332716112229718469497061545451<52>
54443247488777107295124900089606418730766182323690825819127206585756885601289<77>

N=359405136945377210040375936833222081123466616827691137670006717293414675712163197168982544064001620269536381116228082319737686339
  ( 129 digits)
Divisors found:
 r1=6601463974379278751142332716112229718469497061545451 (pp52)
 r2=54443247488777107295124900089606418730766182323690825819127206585756885601289 (pp77)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.66 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 359405136945377210040375936833222081123466616827691137670006717293414675712163197168982544064001620269536381116228082319737686339
skew: 418382.67
c0: -6551567863528166421828587663936
c1: 423624266386383813145925718
c2: -1084109236521502709849
c3: -14643645048084438
c4: 4077071290
c5: 8700
Y0: -8379394925557775582749137
Y1: 71242181260759
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [4300000, 4400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 900285 x 900510
Total sieving time: 0.00 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8600000,8600000,28,28,56,56,2.5,2.5,100000
total time: 0.66 hours.
 --------- CPU info (if available) ----------

46639295107708287055246221146253973782069146504551598581608665587188485768115494371007491836435465142437063395781834703093535848420185637867313522352407716569100289136201944775399940199<185>

6614961749775909333186963225620730854666551<43>
7050576688412182502305317144724144334631593088286622455041048682443837492745326543703893033998010757113251689129742818961016892192116248519249<142>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 46639295107708287055246221146253973782069146504551598581608665587188485768115494371007491836435465142437063395781834703093535848420185637867313522352407716569100289136201944775399940199 (185 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3752929797
Step 1 took 35179ms
Step 2 took 15114ms
Run 2 out of 0:
...
Step 2 took 15447ms
Run 67 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2725966262
Step 1 took 34703ms
Step 2 took 15824ms
Run 68 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2397103175
Step 1 took 34765ms
Step 2 took 14919ms
********** Factor found in step 2: 6614961749775909333186963225620730854666551
Found prime factor of 43 digits: 6614961749775909333186963225620730854666551
Prime cofactor 7050576688412182502305317144724144334631593088286622455041048682443837492745326543703893033998010757113251689129742818961016892192116248519249 has 142 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

4520588642250526326533683597602074883484949449901441850712104986842659188033109711614546649363942591511023966840523755262716500805426707587939835937260622997371784610471073848676442330439074883<193>

4652642053828880523526168105759897553379531222748217292652960887960027550824321241314580222245056513435224382597357080251593888245301426445364330541958303534313262337937<169>

41542122088174922970891524267563203173129300313733434024965011230020041912803003781711499418970462082862757806974301755397897028835212570425539394203390973789142055272078492009190023433651950048157287757<203>

479452889442369328244888566540062985535242257178990472080302863357569575284291311551648800006536411287008329777951865640528295864686030604388751627298662862552101400507<168>

1422069397561385066228608537839309276204692800123841248529161439761251255603517414647696296641067466818508536087706938663899864621524784591591281018235401377680283082405614346659244864144625249921437366635297900465527<217>

33337885541503853324280482734348370640882319067<47>

42656256522057646762697209829380108625371945628952118840345001925523898350276084854054918412185690169313926319966405211028201465075999111637550966315609043439581819103381<170>

33337885541503853324280482734348370640882319067

yafu2

2052466332162831152488491913287427336283588523455894663485889236942614309154195231162118132003243512697261162046143802257774438259420047699273642291375968971282740094409276704012106168018214370052957631<202>

22148611978898939069986803761227408435154654738257087414302160175177498344746901614105450633941449082611713845640553444692472286101911855929407350358993944095443829599<167>

286925779756491926670492145714246169743<39>

77192826652578989462065753178281152911266831926342919497221892980813628885685149026707538012551501787100606739960011415623404593<128>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1621534984
Step 1 took 36504ms
Step 2 took 13280ms
********** Factor found in step 2: 286925779756491926670492145714246169743
Found probable prime factor of 39 digits: 286925779756491926670492145714246169743
Composite cofactor 77192826652578989462065753178281152911266831926342919497221892980813628885685149026707538012551501787100606739960011415623404593 has 128 digits

77192826652578989462065753178281152911266831926342919497221892980813628885685149026707538012551501787100606739960011415623404593<128>

250149402775525958595135951326031417307646563376373473<54>
308586891657897485196392531739860838951823134098001836950703551641526511441<75>

77192826652578989462065753178281152911266831926342919497221892980813628885685149026707538012551501787100606739960011415623404593=250149402775525958595135951326031417307646563376373473*308586891657897485196392531739860838951823134098001836950703551641526511441

cado polynomial
n: 77192826652578989462065753178281152911266831926342919497221892980813628885685149026707538012551501787100606739960011415623404593
skew: 22844.245
c0: -36523413963486110253366217500
c1: 9339524108843941104603720
c2: 69442540842175921841
c3: -16419679932113845
c4: 373882079484
c5: 12130560
Y0: -2964769532753921817881392
Y1: 9725216413233761
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.191e-07
# f(x) = 12130560*x^5+373882079484*x^4-16419679932113845*x^3+69442540842175921841*x^2+9339524108843941104603720*x-36523413963486110253366217500
# g(x) = 9725216413233761*x-2964769532753921817881392

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

cado log (extracts)
Info:Square Root: Factors: 250149402775525958595135951326031417307646563376373473 308586891657897485196392531739860838951823134098001836950703551641526511441
Info:Square Root: Total cpu/real time for sqrt: 706.27/209.287
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 275.07/233.345
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 219.89999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 118.31/130.187
Info:Linear Algebra: Total cpu/real time for bwc: 40176.3/10308.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 25625.34, WCT time 6546.99, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49664 iterations)
Info:Linear Algebra: Lingen CPU time 322.89, WCT time 82.06
Info:Linear Algebra: Mksol: CPU time 13940.78,  WCT time 3573.31, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24832 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23214742
Info:Lattice Sieving: Average J: 7623.24 for 51319 special-q, max bucket fill -bkmult 1.0,1s:1.071140
Info:Lattice Sieving: Total time: 73283.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.66/10.7735
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4984.35
Info:Polynomial Selection (root optimized): Rootsieve time: 4982.01
Info:Generate Free Relations: Total cpu/real time for freerel: 252.71/64.4633
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.15/119.729
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.6s
Info:Filtering - Merging: Merged matrix has 1585071 rows and total weight 271917750 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 395.48/112.538
Info:Filtering - Merging: Total cpu/real time for replay: 63.57/53.0404
Info:Quadratic Characters: Total cpu/real time for characters: 61.58/25.0269
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38612/38.160/45.630/48.970/0.846
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30460/36.720/40.898/46.630/0.923
Info:Polynomial Selection (size optimized): Total time: 4846.28
Info:Square Root: Total cpu/real time for sqrt: 706.27/209.287
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 190192/51572.5
Info:root: Cleaning up computation data in /tmp/cado.e_mgvv67
250149402775525958595135951326031417307646563376373473 308586891657897485196392531739860838951823134098001836950703551641526511441

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

5965003328394511019105965266721898638296428204580168715851054611301889742433034490233111666752753726673849182164280141060799307790925646278295812500656110128044551196492521915080681367687234061058947206755704633<211>

25258643277329598533487038208003456994055089524498753897145533659063956988637516754556427879853189784443739746641481623218806077471172418975939338177961<152>

88263197507473209509751878424683999786962966032323271637729562540930167<71>
286174124557304411551603626349825979854644518159275886687722057646622294719772383<81>

Sat Mar  8 18:23:01 2025  
Sat Mar  8 18:23:01 2025  
Sat Mar  8 18:23:01 2025  Msieve v. 1.54 (SVN unknown)
Sat Mar  8 18:23:01 2025  random seeds: 6917fd19 2d10703c
Sat Mar  8 18:23:01 2025  MPI process 0 of 1
Sat Mar  8 18:23:01 2025  Using 32 OpenMP threads
Sat Mar  8 18:23:01 2025  factoring 25258643277329598533487038208003456994055089524498753897145533659063956988637516754556427879853189784443739746641481623218806077471172418975939338177961 (152 digits)
Sat Mar  8 18:23:01 2025  searching for 15-digit factors
Sat Mar  8 18:23:01 2025  commencing number field sieve (152-digit input)
Sat Mar  8 18:23:01 2025  R0: 240411116630557489761426116206
Sat Mar  8 18:23:01 2025  R1: 158144212239038505052501
Sat Mar  8 18:23:01 2025  A0: -917778962254816337369632754951986581
Sat Mar  8 18:23:01 2025  A1: -130420022167036066287341435705
Sat Mar  8 18:23:01 2025  A2: 787346835684567592827043
Sat Mar  8 18:23:01 2025  A3: 45986695344444355
Sat Mar  8 18:23:01 2025  A4: -68530933476
Sat Mar  8 18:23:01 2025  A5: 39060
Sat Mar  8 18:23:01 2025  skew 1800346.64, size 1.447e-14, alpha -6.676, combined = 5.369e-12 rroots = 3
Sat Mar  8 18:23:01 2025  
Sat Mar  8 18:23:01 2025  commencing relation filtering
Sat Mar  8 18:23:01 2025  setting target matrix density to 140.0
Sat Mar  8 18:23:01 2025  estimated available RAM is 64037.4 MB
Sat Mar  8 18:23:01 2025  commencing duplicate removal, pass 1
Sat Mar  8 18:23:37 2025  found 5945577 hash collisions in 117055694 relations
Sat Mar  8 18:23:48 2025  added 122265 free relations
Sat Mar  8 18:23:48 2025  commencing duplicate removal, pass 2
Sat Mar  8 18:24:06 2025  found 0 duplicates and 117177959 unique relations
Sat Mar  8 18:24:06 2025  memory use: 394.4 MB
Sat Mar  8 18:24:06 2025  reading ideals above 720000
Sat Mar  8 18:24:06 2025  commencing singleton removal, initial pass
Sat Mar  8 18:25:53 2025  memory use: 3012.0 MB
Sat Mar  8 18:25:53 2025  reading all ideals from disk
Sat Mar  8 18:25:54 2025  memory use: 5001.7 MB
Sat Mar  8 18:25:57 2025  keeping 124385995 ideals with weight <= 200, target excess is 1083735
Sat Mar  8 18:26:03 2025  commencing in-memory singleton removal
Sat Mar  8 18:26:03 2025  begin with 117177959 relations and 124385995 unique ideals
Sat Mar  8 18:26:09 2025  reduce to 42091498 relations and 36347665 ideals in 21 passes
Sat Mar  8 18:26:09 2025  max relations containing the same ideal: 105
Sat Mar  8 18:26:15 2025  removing 6969921 relations and 5969921 ideals in 1000000 cliques
Sat Mar  8 18:26:16 2025  commencing in-memory singleton removal
Sat Mar  8 18:26:17 2025  begin with 35121577 relations and 36347665 unique ideals
Sat Mar  8 18:26:18 2025  reduce to 34220938 relations and 29448856 ideals in 13 passes
Sat Mar  8 18:26:18 2025  max relations containing the same ideal: 93
Sat Mar  8 18:26:24 2025  removing 5188774 relations and 4188774 ideals in 1000000 cliques
Sat Mar  8 18:26:24 2025  commencing in-memory singleton removal
Sat Mar  8 18:26:24 2025  begin with 29032164 relations and 29448856 unique ideals
Sat Mar  8 18:26:25 2025  reduce to 28397911 relations and 24606836 ideals in 10 passes
Sat Mar  8 18:26:25 2025  max relations containing the same ideal: 81
Sat Mar  8 18:26:30 2025  removing 4648256 relations and 3648256 ideals in 1000000 cliques
Sat Mar  8 18:26:30 2025  commencing in-memory singleton removal
Sat Mar  8 18:26:31 2025  begin with 23749655 relations and 24606836 unique ideals
Sat Mar  8 18:26:31 2025  reduce to 23134561 relations and 20322887 ideals in 10 passes
Sat Mar  8 18:26:31 2025  max relations containing the same ideal: 69
Sat Mar  8 18:26:35 2025  removing 4375027 relations and 3375027 ideals in 1000000 cliques
Sat Mar  8 18:26:36 2025  commencing in-memory singleton removal
Sat Mar  8 18:26:36 2025  begin with 18759534 relations and 20322887 unique ideals
Sat Mar  8 18:26:36 2025  reduce to 18084412 relations and 16245532 ideals in 10 passes
Sat Mar  8 18:26:36 2025  max relations containing the same ideal: 61
Sat Mar  8 18:26:39 2025  removing 2822069 relations and 2240322 ideals in 581747 cliques
Sat Mar  8 18:26:40 2025  commencing in-memory singleton removal
Sat Mar  8 18:26:40 2025  begin with 15262343 relations and 16245532 unique ideals
Sat Mar  8 18:26:40 2025  reduce to 14915397 relations and 13648063 ideals in 11 passes
Sat Mar  8 18:26:40 2025  max relations containing the same ideal: 52
Sat Mar  8 18:26:43 2025  removing 103164 relations and 92963 ideals in 10201 cliques
Sat Mar  8 18:26:43 2025  commencing in-memory singleton removal
Sat Mar  8 18:26:43 2025  begin with 14812233 relations and 13648063 unique ideals
Sat Mar  8 18:26:43 2025  reduce to 14811838 relations and 13554705 ideals in 5 passes
Sat Mar  8 18:26:43 2025  max relations containing the same ideal: 52
Sat Mar  8 18:26:44 2025  relations with 0 large ideals: 38667
Sat Mar  8 18:26:44 2025  relations with 1 large ideals: 405880
Sat Mar  8 18:26:44 2025  relations with 2 large ideals: 1711274
Sat Mar  8 18:26:44 2025  relations with 3 large ideals: 3695731
Sat Mar  8 18:26:44 2025  relations with 4 large ideals: 4397013
Sat Mar  8 18:26:44 2025  relations with 5 large ideals: 2999510
Sat Mar  8 18:26:44 2025  relations with 6 large ideals: 1225487
Sat Mar  8 18:26:44 2025  relations with 7+ large ideals: 338276
Sat Mar  8 18:26:44 2025  commencing 2-way merge
Sat Mar  8 18:26:47 2025  reduce to 8309006 relation sets and 7051873 unique ideals
Sat Mar  8 18:26:47 2025  commencing full merge
Sat Mar  8 18:27:36 2025  memory use: 658.0 MB
Sat Mar  8 18:27:36 2025  found 3217883 cycles, need 3208073
Sat Mar  8 18:27:37 2025  weight of 3208073 cycles is about 449691654 (140.18/cycle)
Sat Mar  8 18:27:37 2025  distribution of cycle lengths:
Sat Mar  8 18:27:37 2025  1 relations: 174640
Sat Mar  8 18:27:37 2025  2 relations: 161961
Sat Mar  8 18:27:37 2025  3 relations: 174908
Sat Mar  8 18:27:37 2025  4 relations: 179078
Sat Mar  8 18:27:37 2025  5 relations: 181915
Sat Mar  8 18:27:37 2025  6 relations: 180801
Sat Mar  8 18:27:37 2025  7 relations: 179145
Sat Mar  8 18:27:37 2025  8 relations: 176987
Sat Mar  8 18:27:37 2025  9 relations: 171225
Sat Mar  8 18:27:37 2025  10+ relations: 1627413
Sat Mar  8 18:27:37 2025  heaviest cycle: 28 relations
Sat Mar  8 18:27:37 2025  commencing cycle optimization
Sat Mar  8 18:27:41 2025  start with 34186363 relations
Sat Mar  8 18:28:17 2025  pruned 1430577 relations
Sat Mar  8 18:28:17 2025  memory use: 918.9 MB
Sat Mar  8 18:28:17 2025  distribution of cycle lengths:
Sat Mar  8 18:28:17 2025  1 relations: 174640
Sat Mar  8 18:28:17 2025  2 relations: 166278
Sat Mar  8 18:28:17 2025  3 relations: 181973
Sat Mar  8 18:28:17 2025  4 relations: 185849
Sat Mar  8 18:28:17 2025  5 relations: 190193
Sat Mar  8 18:28:17 2025  6 relations: 188847
Sat Mar  8 18:28:17 2025  7 relations: 188293
Sat Mar  8 18:28:17 2025  8 relations: 185057
Sat Mar  8 18:28:17 2025  9 relations: 179062
Sat Mar  8 18:28:17 2025  10+ relations: 1567881
Sat Mar  8 18:28:17 2025  heaviest cycle: 28 relations
Sat Mar  8 18:28:19 2025  RelProcTime: 318
Sat Mar  8 18:28:19 2025  
Sat Mar  8 18:28:19 2025  commencing linear algebra
Sat Mar  8 18:28:19 2025  using VBITS=256
Sat Mar  8 18:28:19 2025  initialized process (0,0) of 1 x 1 grid
Sat Mar  8 18:28:19 2025  read 3208073 cycles
Sat Mar  8 18:28:22 2025  cycles contain 13804601 unique relations
Sat Mar  8 18:28:28 2025  read 13804601 relations
Sat Mar  8 18:28:29 2025  using 20 quadratic characters above 4294917295
Sat Mar  8 18:28:30 2025  building initial matrix
Sat Mar  8 18:29:39 2025  memory use: 1763.2 MB
Sat Mar  8 18:29:40 2025  read 3208073 cycles
Sat Mar  8 18:29:40 2025  matrix is 3207894 x 3208073 (1721.7 MB) with weight 518616836 (161.66/col)
Sat Mar  8 18:29:40 2025  sparse part has weight 412848993 (128.69/col)
Sat Mar  8 18:29:56 2025  filtering completed in 2 passes
Sat Mar  8 18:29:56 2025  matrix is 3207662 x 3207840 (1721.7 MB) with weight 518602808 (161.67/col)
Sat Mar  8 18:29:56 2025  sparse part has weight 412843442 (128.70/col)
Sat Mar  8 18:30:00 2025  matrix starts at (0, 0)
Sat Mar  8 18:30:00 2025  matrix is 3207662 x 3207840 (1721.7 MB) with weight 518602808 (161.67/col)
Sat Mar  8 18:30:00 2025  sparse part has weight 412843442 (128.70/col)
Sat Mar  8 18:30:00 2025  saving the first 240 matrix rows for later
Sat Mar  8 18:30:01 2025  matrix includes 256 packed rows
Sat Mar  8 18:30:01 2025  matrix is 3207422 x 3207840 (1523.9 MB) with weight 373746494 (116.51/col)
Sat Mar  8 18:30:01 2025  sparse part has weight 348157250 (108.53/col)
Sat Mar  8 18:30:01 2025  using block size 8192 and superblock size 884736 for processor cache size 36864 kB
Sat Mar  8 18:30:06 2025  commencing Lanczos iteration (32 threads)
Sat Mar  8 18:30:06 2025  memory use: 2104.7 MB
Sat Mar  8 18:30:41 2025  linear algebra at 1.0%, ETA 1h 0m
Sat Mar  8 18:31:34 2025  checking every 50000 dimensions, checkpointing every 3150000 dimensions
Sat Mar  8 19:44:00 2025  lanczos halted after 12567 iterations (dim = 3207418)
Sat Mar  8 19:44:07 2025  recovered 25 nontrivial dependencies
Sat Mar  8 19:44:07 2025  BLanczosTime: 4548
Sat Mar  8 19:44:07 2025  
Sat Mar  8 19:44:07 2025  commencing square root phase
Sat Mar  8 19:44:07 2025  handling dependencies 1 to 64
Sat Mar  8 19:44:07 2025  reading relations for dependency 1
Sat Mar  8 19:44:07 2025  read 1603551 cycles
Sat Mar  8 19:44:09 2025  cycles contain 6901362 unique relations
Sat Mar  8 19:44:14 2025  read 6901362 relations
Sat Mar  8 19:44:24 2025  multiplying 6901362 relations
Sat Mar  8 19:44:44 2025  multiply complete, coefficients have about 341.96 million bits
Sat Mar  8 19:44:45 2025  initial square root is modulo 1367761
Sat Mar  8 19:45:32 2025  GCD is N, no factor found
Sat Mar  8 19:45:32 2025  reading relations for dependency 2
Sat Mar  8 19:45:32 2025  read 1604981 cycles
Sat Mar  8 19:45:33 2025  cycles contain 6908422 unique relations
Sat Mar  8 19:45:38 2025  read 6908422 relations
Sat Mar  8 19:45:48 2025  multiplying 6908422 relations
Sat Mar  8 19:46:09 2025  multiply complete, coefficients have about 342.31 million bits
Sat Mar  8 19:46:10 2025  initial square root is modulo 1387717
Sat Mar  8 19:46:56 2025  GCD is 1, no factor found
Sat Mar  8 19:46:56 2025  reading relations for dependency 3
Sat Mar  8 19:46:56 2025  read 1603915 cycles
Sat Mar  8 19:46:58 2025  cycles contain 6904014 unique relations
Sat Mar  8 19:47:03 2025  read 6904014 relations
Sat Mar  8 19:47:13 2025  multiplying 6904014 relations
Sat Mar  8 19:47:33 2025  multiply complete, coefficients have about 342.10 million bits
Sat Mar  8 19:47:34 2025  initial square root is modulo 1375159
Sat Mar  8 19:48:20 2025  GCD is N, no factor found
Sat Mar  8 19:48:20 2025  reading relations for dependency 4
Sat Mar  8 19:48:21 2025  read 1603101 cycles
Sat Mar  8 19:48:22 2025  cycles contain 6897680 unique relations
Sat Mar  8 19:48:27 2025  read 6897680 relations
Sat Mar  8 19:48:37 2025  multiplying 6897680 relations
Sat Mar  8 19:48:57 2025  multiply complete, coefficients have about 341.78 million bits
Sat Mar  8 19:48:57 2025  initial square root is modulo 1357463
Sat Mar  8 19:49:44 2025  GCD is 1, no factor found
Sat Mar  8 19:49:44 2025  reading relations for dependency 5
Sat Mar  8 19:49:44 2025  read 1603646 cycles
Sat Mar  8 19:49:46 2025  cycles contain 6901210 unique relations
Sat Mar  8 19:49:51 2025  read 6901210 relations
Sat Mar  8 19:50:01 2025  multiplying 6901210 relations
Sat Mar  8 19:50:21 2025  multiply complete, coefficients have about 341.96 million bits
Sat Mar  8 19:50:21 2025  initial square root is modulo 1367279
Sat Mar  8 19:51:08 2025  GCD is N, no factor found
Sat Mar  8 19:51:08 2025  reading relations for dependency 6
Sat Mar  8 19:51:08 2025  read 1604680 cycles
Sat Mar  8 19:51:09 2025  cycles contain 6901766 unique relations
Sat Mar  8 19:51:14 2025  read 6901766 relations
Sat Mar  8 19:51:25 2025  multiplying 6901766 relations
Sat Mar  8 19:51:44 2025  multiply complete, coefficients have about 341.98 million bits
Sat Mar  8 19:51:45 2025  initial square root is modulo 1368839
Sat Mar  8 19:52:31 2025  GCD is 1, no factor found
Sat Mar  8 19:52:31 2025  reading relations for dependency 7
Sat Mar  8 19:52:32 2025  read 1602796 cycles
Sat Mar  8 19:52:33 2025  cycles contain 6896198 unique relations
Sat Mar  8 19:52:38 2025  read 6896198 relations
Sat Mar  8 19:52:48 2025  multiplying 6896198 relations
Sat Mar  8 19:53:08 2025  multiply complete, coefficients have about 341.71 million bits
Sat Mar  8 19:53:08 2025  initial square root is modulo 1353133
Sat Mar  8 19:53:55 2025  GCD is N, no factor found
Sat Mar  8 19:53:55 2025  reading relations for dependency 8
Sat Mar  8 19:53:55 2025  read 1603487 cycles
Sat Mar  8 19:53:57 2025  cycles contain 6899282 unique relations
Sat Mar  8 19:54:01 2025  read 6899282 relations
Sat Mar  8 19:54:12 2025  multiplying 6899282 relations
Sat Mar  8 19:54:32 2025  multiply complete, coefficients have about 341.87 million bits
Sat Mar  8 19:54:32 2025  initial square root is modulo 1362271
Sat Mar  8 19:55:19 2025  GCD is N, no factor found
Sat Mar  8 19:55:19 2025  reading relations for dependency 9
Sat Mar  8 19:55:19 2025  read 1605057 cycles
Sat Mar  8 19:55:20 2025  cycles contain 6908646 unique relations
Sat Mar  8 19:55:25 2025  read 6908646 relations
Sat Mar  8 19:55:35 2025  multiplying 6908646 relations
Sat Mar  8 19:55:56 2025  multiply complete, coefficients have about 342.33 million bits
Sat Mar  8 19:55:56 2025  initial square root is modulo 1388297
Sat Mar  8 19:56:43 2025  GCD is N, no factor found
Sat Mar  8 19:56:43 2025  reading relations for dependency 10
Sat Mar  8 19:56:43 2025  read 1604350 cycles
Sat Mar  8 19:56:44 2025  cycles contain 6902698 unique relations
Sat Mar  8 19:56:49 2025  read 6902698 relations
Sat Mar  8 19:56:59 2025  multiplying 6902698 relations
Sat Mar  8 19:57:19 2025  multiply complete, coefficients have about 342.03 million bits
Sat Mar  8 19:57:20 2025  initial square root is modulo 1371647
Sat Mar  8 19:58:07 2025  GCD is N, no factor found
Sat Mar  8 19:58:07 2025  reading relations for dependency 11
Sat Mar  8 19:58:07 2025  read 1602425 cycles
Sat Mar  8 19:58:08 2025  cycles contain 6897834 unique relations
Sat Mar  8 19:58:13 2025  read 6897834 relations
Sat Mar  8 19:58:23 2025  multiplying 6897834 relations
Sat Mar  8 19:58:43 2025  multiply complete, coefficients have about 341.79 million bits
Sat Mar  8 19:58:44 2025  initial square root is modulo 1357919
Sat Mar  8 19:59:31 2025  sqrtTime: 924
Sat Mar  8 19:59:31 2025  p71 factor: 88263197507473209509751878424683999786962966032323271637729562540930167
Sat Mar  8 19:59:31 2025  p81 factor: 286174124557304411551603626349825979854644518159275886687722057646622294719772383
Sat Mar  8 19:59:31 2025  elapsed time 01:36:30

cado-nfs, msieve 1.54 (msieve-lacuda-nfsathome)

Ubuntu 24.04, i9-14900k, i3-12100, 64GB DDR5

72184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613<233>

160423784354800258490386805089246424471<39>

449960893377507096221518541796355646786721999599320014528219064656257718976246437609815268890849714709991461699953509478684459493515729444129445093377083496237068883994371703719486995060983656203<195>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 72184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613000755857898715041572184429327286470143613 (233 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3472628959
Step 1 took 56131ms
Step 2 took 19375ms
Run 2 out of 0:
...
Step 2 took 19770ms
Run 4 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:788613081
Step 1 took 53359ms
Step 2 took 19875ms
Run 5 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:952936522
Step 1 took 52930ms
Step 2 took 19293ms
********** Factor found in step 2: 160423784354800258490386805089246424471
Found prime factor of 39 digits: 160423784354800258490386805089246424471
Composite cofactor 449960893377507096221518541796355646786721999599320014528219064656257718976246437609815268890849714709991461699953509478684459493515729444129445093377083496237068883994371703719486995060983656203 has 195 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

31446376239789847325044463694236643168156220592081591722707895862378013167898393235057974440451248584131025821294557415962687672714282275646816561499118233731793494841263138040799878587352386017670097482778499068742733376317730761<230>

233620970519248849203211863840807958609864650428476520763013137854253308155961806929885424299186934442994206555608288976158392560484802151292128746113204116277346121592364843917764630986487335684860943<201>

430402942784350999684070719484994711226666414283789222439902454017867806355631811239240489785028377299782635246801159699321856221981557121230763129205160689023282771127939640832124374282004514949403993328078361277976754635619967271349<234>

667431556630226608719144046034352888329<39>

644864538556430209401750250213600572079086074867796340543917730449251226794680825587392656649530165679128886484553019943890587955237290584003750593233477020216259630537265131375401537274183042381<195>

Run 27 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2893473244
Step 1 took 24805ms
Step 2 took 9173ms
********** Factor found in step 2: 667431556630226608719144046034352888329
Found prime factor of 39 digits: 667431556630226608719144046034352888329
Composite cofactor 644864538556430209401750250213600572079086074867796340543917730449251226794680825587392656649530165679128886484553019943890587955237290584003750593233477020216259630537265131375401537274183042381 has 195 digits

GMP-ECM 7.0.5-dev

Intel Xeon CPU E5-2695 v4 @ 2.10GHz

6098753699280511179026318225259011403513786113776513830676063224755996605924244843582496200219642662632777625643983109422979806505824227933804117436290271310255778766668219260700435001841378087622039034687037152202340476789963<226>

23036107096776725665267792208902305694517988348923612258750917656036343226424303287607681713713993302449728394709713988763698631737514842322264747001025319491208154095878479521664055143015811448665323<200>

3537037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<244>

3408044109189758215712606399347772049902060359781350988544438876770602937642356084068845144912032012085803893547742944469515842267206453063862332089955835104679523910550018505738216906246976788194604348736545994597061354011682690294259<235>

18304853144230081822836265616213382765198924862328260008745533616401825941325732165457468625597071038964856169255652003710241682577596976442748542995699939004549548730191270666662102062396289031582771344874071<209>

183585088727942971373719122081567064454687883046210059413281479604107775858652587451755648602544036171799620559098651613313894836337867020000805969176948908560771087953820254104871465318339175001709950810962226093<213>

351964573006513495939849740291767065539166620983173183396446371395558641683815325035711557061541241846374555789544868277864811754325375042727958010566181586605374422120885235623975108512093907481528738231773145936030879757<222>

38515811383346704565618846964885081519324932108049630060254523944539451735454720159645943259296116090862816053109800749675751986974363602054285997404294037923937519031193581599042326747858884656866298579<203>

9008132425670623211295482162990396909032913<43>

4275671089557649380259465160571872663888295591215726672375803343781159883757376609312597189673494547905084902356622242746670570055524472462293886045148464163683<160>

Run 227 out of 1076:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:98327275
Step 1 took 6922ms
********** Factor found in step 2: 9008132425670623211295482162990396909032913
Found prime factor of 43 digits: 9008132425670623211295482162990396909032913

GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]

19186819650933316549552284847071583671531182316766829940687741574970021870683489419938601069238033052332313647454086127205128566064297779596327416778317206738012971866131832514733534024453<188>

18174939762925096879888008259778983559827451553351127281855912742902346285684081705157924513193950757767210047869954297883109716347722966770567718998825813854415945835217801841587786643886663379660509551127736450067015984465781609<230>

2532692948786299608121700962131243864258823843853090064006686011065277374125339094168295822743386904397192475710182956610049819335462005887145077711102338089138997243734686467337458529848062616306655519<202>

1577059458800527708858557863915420557217271424632995006412998584849292677166673507865889699336387637311288270257234599423620746632079273163492010846183203459810993978532858294916856656086441946216980093365398211915370818621091389<229>

348885072829925301326541424077474577187190408374510129867570496817936932979018845095865118441536578062782730395404203463950129323010973622155719869130784735408782479150890436690702003129076659782345816984189700795842647559083613<228>

5616205567030374845396884102316261324897<40>
62121136533540703533948189684998355534864936318329662671320541017989271448444264580358431531464460605690052459463159378112304673615339813196984722632233749194283156480689619582488781352829<188>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2383712485
Step 1 took 45030ms
Step 2 took 18300ms
********** Factor found in step 2: 5616205567030374845396884102316261324897
Found prime factor of 40 digits: 5616205567030374845396884102316261324897
Prime cofactor 62121136533540703533948189684998355534864936318329662671320541017989271448444264580358431531464460605690052459463159378112304673615339813196984722632233749194283156480689619582488781352829 has 188 digits

33238774163673484552868422637632307773470628969905785387974962917495605250437230045768333731656942111611220020946755563726840808337178709151119862810502490530563458327347142532168457257173653617395533205433827431<212>

3644034824412251821409427074422897309952719<43>

9121420558606923541777142097486060942367221830775854679255864552612079575319748171457725168325570915070396978948973498535359836029330422352376301920933981949482168751849<169>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1231467115
Step 1 took 97801ms
Step 2 took 36664ms
********** Factor found in step 2: 3644034824412251821409427074422897309952719
Found prime factor of 43 digits: 3644034824412251821409427074422897309952719
Composite cofactor 9121420558606923541777142097486060942367221830775854679255864552612079575319748171457725168325570915070396978948973498535359836029330422352376301920933981949482168751849 has 169 digits

9121420558606923541777142097486060942367221830775854679255864552612079575319748171457725168325570915070396978948973498535359836029330422352376301920933981949482168751849<169>

189505922131169584003564041483273361643123471<45>

48132641217900224860689944660424877312417417962603260026621748947499621196086700608117438411270606024281089151954190527542919<125>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2594041992
Step 1 took 25813ms
Step 2 took 11937ms
********** Factor found in step 2: 189505922131169584003564041483273361643123471
Found prime factor of 45 digits: 189505922131169584003564041483273361643123471
Composite cofactor 48132641217900224860689944660424877312417417962603260026621748947499621196086700608117438411270606024281089151954190527542919 has 125 digits
 

GMP-ECM

48132641217900224860689944660424877312417417962603260026621748947499621196086700608117438411270606024281089151954190527542919<125>

4906793528694600351356016025514273131672839310173057468449069<61>
9809387930513839333809353827176988165100255668474451080715771651<64>

48132641217900224860689944660424877312417417962603260026621748947499621196086700608117438411270606024281089151954190527542919=4906793528694600351356016025514273131672839310173057468449069*9809387930513839333809353827176988165100255668474451080715771651

cado polynomial
n: 48132641217900224860689944660424877312417417962603260026621748947499621196086700608117438411270606024281089151954190527542919
skew: 45880.731
c0: 39770175939578672276282355566
c1: -2243838086924672518868627
c2: -136425373359111742788
c3: 1792304098968155
c4: 25007393950
c5: 158400
Y0: -895591026618606617468688
Y1: 303623805315937273
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.812e-07
# f(x) = 158400*x^5+25007393950*x^4+1792304098968155*x^3-136425373359111742788*x^2-2243838086924672518868627*x+39770175939578672276282355566
# g(x) = 303623805315937273*x-895591026618606617468688

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

cado log (extracts)
Info:Square Root: Factors: 9809387930513839333809353827176988165100255668474451080715771651 4906793528694600351356016025514273131672839310173057468449069
Info:Square Root: Total cpu/real time for sqrt: 791.42/231.078
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 145.76/130.702
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 112.4s
Info:Square Root: Total cpu/real time for sqrt: 791.42/231.078
Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.92/84.8125
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11756256
Info:Lattice Sieving: Average J: 3788.75 for 193648 special-q, max bucket fill -bkmult 1.0,1s:1.183660
Info:Lattice Sieving: Total time: 58178s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.56/2.28536
Info:Linear Algebra: Total cpu/real time for bwc: 9376.31/2414.93
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 5903.49, WCT time 1514.79, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Linear Algebra: Lingen CPU time 143.3, WCT time 36.37
Info:Linear Algebra: Mksol: CPU time 3207.37,  WCT time 819.45, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 126.5/32.3016
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.35/57.2249
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2802.73
Info:Polynomial Selection (root optimized): Rootsieve time: 2800.25
Info:Filtering - Merging: Merged matrix has 782061 rows and total weight 133190692 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 158.2/46.1322
Info:Filtering - Merging: Total cpu/real time for replay: 29.67/24.6432
Info:Quadratic Characters: Total cpu/real time for characters: 29.41/11.6794
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20151/37.130/44.412/49.360/0.872
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15949/35.390/39.794/45.180/0.968
Info:Polynomial Selection (size optimized): Total time: 1957.3
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 123870/33570.1
Info:root: Cleaning up computation data in /tmp/cado.ynwhgmau
9809387930513839333809353827176988165100255668474451080715771651 4906793528694600351356016025514273131672839310173057468449069

cado-nfs-3.0.0

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

3637616468361605097365798172346377000617774964818348177576429363893579094158165045964228833697187422680306949227468264890290658539917910378088007604715557164741917848414325133090380459761716403654108437516274831397463519601<223>

46000305456820581636980824408656608504921<41>
79078093769967488403077771042663404545933852229042332348817982060251016698337972450746824635084301168694709138661644671565199284098413247392298656679926426209092822675713683225701081<182>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 3637616468361605097365798172346377000617774964818348177576429363893579094158165045964228833697187422680306949227468264890290658539917910378088007604715557164741917848414325133090380459761716403654108437516274831397463519601 (223 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2445360876
Step 1 took 45558ms
Step 2 took 17869ms
Run 2 out of 0:
...
Step 2 took 17745ms
Run 21 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3930747418
Step 1 took 45502ms
Step 2 took 17747ms
Run 22 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:62223564
Step 1 took 45849ms
Step 2 took 17844ms
********** Factor found in step 2: 46000305456820581636980824408656608504921
Found prime factor of 41 digits: 46000305456820581636980824408656608504921
Prime cofactor 79078093769967488403077771042663404545933852229042332348817982060251016698337972450746824635084301168694709138661644671565199284098413247392298656679926426209092822675713683225701081 has 182 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

11107087765528610921662635854062314405706731302889158183602462908774962028095405924037271812046274874256382280332576246668909563872633584202183323273910182392166535581886995486915700206939668369285627162777057505421<215>

2295429271455404125395253384312975226579<40>

4838784581014872168356835596280651822241718559024912644933012363044705762296395474655152475758470263783255502626699600202910288307705041672542112878906035392126709396681907999<175>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:987269445
Step 1 took 43748ms
Step 2 took 17725ms
********** Factor found in step 2: 2295429271455404125395253384312975226579
Found prime factor of 40 digits: 2295429271455404125395253384312975226579
Composite cofactor 4838784581014872168356835596280651822241718559024912644933012363044705762296395474655152475758470263783255502626699600202910288307705041672542112878906035392126709396681907999 has 175 digits

15746514429737838309415028578352035349584771587985156994999128660662593871163995181196820000519531026743368468701425063691453411849679086023651239308529903504803122255829623964687451161318600665526812754918884116366608276404332793214961257069941<245>

19135458387100464903475438056226949662263166893517024917512649289386218450513169914114251991224779340613744080055223931048711884095466581484823006727926983258517698465610746024598501515277840143342416364371507691181913910113718923439511884311867576857268054851<260>

7950725300914627490896767481028134857884363711667164265036410150748517454309062960221254748279622385628676804466153025122942907095923433028894403165371365297095145372609074882586916912141665996332211758033887924859525655511444209682752143<238>

1244005549657627089503512167418071902404459<43>

6391229768309965681684333344548058577495719802071434584121069048599268649528165080402029263555997898311588766044739598817244006839188706417898216539867807157107113451004017577006966253171016263277<196>

Resuming ECM residue saved by @57015be32429 with GMP-ECM 7.0.5-dev on Sat Apr 30 10:17:27 2022 
Input number is 7950725300914627490896767481028134857884363711667164265036410150748517454309062960221254748279622385628676804466153025122942907095923433028894403165371365297095145372609074882586916912141665996332211758033887924859525655511444209682752143 (238 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:750364149
Step 1 took 0ms
Step 2 took 21568ms
********** Factor found in step 2: 1244005549657627089503512167418071902404459
Found prime factor of 43 digits: 1244005549657627089503512167418071902404459
Composite cofactor 6391229768309965681684333344548058577495719802071434584121069048599268649528165080402029263555997898311588766044739598817244006839188706417898216539867807157107113451004017577006966253171016263277 has 196 digits

13426229536644041764480321652350104218395105391338895601610295472107933827396930685152944896815461336776350524509496245198634578611254455997416884415442596954230177401501316083406323576841116605771418768357421310929<215>

92547619594424867091266002687327676604703158936080226463748842010347249500330707490157321096836808680959599869129985750218912825209433228992607702769980961456096269407046057497659839190607640428865911949590774077804020055777975669717811105347063<245>

51134391684891132700356191369413076514872540122727994439534821258789616715315133475899124287157358414875160178440657215099390896036323626154685628533405182018860412763204435023217801208820796736371719790187358033528633120378281169578268099394516362499128230993<260>

1207129978005406833299053863632172179443172006419498231533388599856082730453455051187694443511483808964346124240441387243697196085942462829636597316563904342376523946177347586949727783816890336744849925937921131082430651852819672158657674653694538351<250>

2002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587<274>

285291158714360282946381644407170285138016531<45>

7017730395435221790922374422438095147469349809772955727543367746659578773709608075134140460910463098399301698156997844428720853474770946308215673967076975330446777834524865233700695908434643304989004093512539358146678221178436777<229>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 2002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587002096436058700209643605870020964360587 (274 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3703572997
Step 1 took 72717ms
Step 2 took 23247ms
Run 2 out of 0:
...
Step 2 took 23076ms
Run 15 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3459414066
Step 1 took 66966ms
Step 2 took 22948ms
Run 16 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1036360902
Step 1 took 67867ms
Step 2 took 23046ms
********** Factor found in step 2: 285291158714360282946381644407170285138016531
Found prime factor of 45 digits: 285291158714360282946381644407170285138016531
Composite cofactor 7017730395435221790922374422438095147469349809772955727543367746659578773709608075134140460910463098399301698156997844428720853474770946308215673967076975330446777834524865233700695908434643304989004093512539358146678221178436777 has 229 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

404849718088939760057653991267116028657425071007673067955402942049260248420874136249947009199203018356013396074441476959599813472381194624613167154182033998897791343422781805078638348382720759676120225528848191953876806986307177074059943193861545635677646360591801263300691<273>

453102444899658466154611498586425748896768129<45>

893505922658606520733203366761338669470924311720867084451269274701327016667245236879237744214495336177534580995288006960805767804478695287851983392033866654637352902197631158608278490638023447691167883077675556098147433640826579<228>

Resuming ECM residue saved by @5501d046e43b with GMP-ECM 7.0.5-dev on Tue Mar 29 23:03:17 2022 
Input number is 404849718088939760057653991267116028657425071007673067955402942049260248420874136249947009199203018356013396074441476959599813472381194624613167154182033998897791343422781805078638348382720759676120225528848191953876806986307177074059943193861545635677646360591801263300691 (273 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2384885281
Step 1 took 1ms
Step 2 took 50051ms
********** Factor found in step 2: 453102444899658466154611498586425748896768129
Found prime factor of 45 digits: 453102444899658466154611498586425748896768129
Composite cofactor 893505922658606520733203366761338669470924311720867084451269274701327016667245236879237744214495336177534580995288006960805767804478695287851983392033866654637352902197631158608278490638023447691167883077675556098147433640826579 has 228 digits

2217097203762688327536351797210818767948621376467936333898169990657702865796354148791992730757716833121251888107007715344515178190523360202376198932081473635575713491249485114394151571640944525118581012036764538932547253088991584376658246864513<244>

9706292461376479603480942630820978285348444182498560344741064841083351429758084440096353023711309335625793007014662751339433627736738938430905777531449545772529210013325994252308145677782442321123791051515586806691999150194190570537216524058584374210083803<256>

6338813918309614221776182122420749891642788255073872072778876284273568606210975639705799384172612208621981679168400713929659741761367219105915274948542769736444728529508008477416896822030663929361054194535876027402261131255928118513916517488820788123651342666987921738547489<274>