43153864012869219609755526841690958379760316153597520823084076896516452578466441730586524229903<95>

574089927759668953298094887200117213503107<42>
75169171111001803157531092986128681670685178224471429<53>

N=43153864012869219609755526841690958379760316153597520823084076896516452578466441730586524229903
  ( 95 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=574089927759668953298094887200117213503107 (pp42)
 r2=75169171111001803157531092986128681670685178224471429 (pp53)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.24 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 43153864012869219609755526841690958379760316153597520823084076896516452578466441730586524229903
m: 50000000000000000000000000
deg: 4
c4: 212
c0: -155
skew: 0.92
# Murphy_E = 2.142e-07
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 30393 x 30618
Total sieving time: 0.23 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
total time: 0.24 hours.
 --------- CPU info (if available) ----------

2276083218313452857301442756023602390712630004090976982389218872664947437266335160300694670570954881<100>

91601262879548710478222592411457473613903457<44>
24847727495923213153416005439397451810469962923699494433<56>

N=2276083218313452857301442756023602390712630004090976982389218872664947437266335160300694670570954881
  ( 100 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=91601262879548710478222592411457473613903457 (pp44)
 r2=24847727495923213153416005439397451810469962923699494433 (pp56)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.61 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2276083218313452857301442756023602390712630004090976982389218872664947437266335160300694670570954881
m: 10000000000000000000000000000
deg: 4
c4: 53
c0: -62
skew: 1.04
# Murphy_E = 5.635e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 715001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 66024 x 66249
Total sieving time: 0.60 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 0.61 hours.
 --------- CPU info (if available) ----------

1422767141709098947973227930893624466848398604614903232908406973682843032046165732514773502473<94>

2600305029236095381145403792687034705021<40>
547153939907993167206785001026226055465704266138873213<54>

N=1422767141709098947973227930893624466848398604614903232908406973682843032046165732514773502473
  ( 94 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=2600305029236095381145403792687034705021 (pp40)
 r2=547153939907993167206785001026226055465704266138873213 (pp54)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.69 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1422767141709098947973227930893624466848398604614903232908406973682843032046165732514773502473
m: 10000000000000000000000000000
deg: 4
c4: 265
c0: -31
skew: 0.58
# Murphy_E = 7.382e-08
type: snfs
lss: 1
rlim: 570000
alim: 570000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 570000/570000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [285000, 605001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59174 x 59399
Total sieving time: 0.68 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,570000,570000,25,25,45,45,2.2,2.2,20000
total time: 0.69 hours.
 --------- CPU info (if available) ----------

905704227758980142862025359718377251444000136710072114563040432003827882019207765132096107180696537817423698691<111>

21611482617808697103260646161391058077581080330839953<53>
41908472628927589065692537346184286520939689805565173995347<59>

N=905704227758980142862025359718377251444000136710072114563040432003827882019207765132096107180696537817423698691
  ( 111 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=21611482617808697103260646161391058077581080330839953 (pp53)
 r2=41908472628927589065692537346184286520939689805565173995347 (pp59)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.88 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 905704227758980142862025359718377251444000136710072114563040432003827882019207765132096107180696537817423698691
m: 10000000000000000000000000000
deg: 4
c4: 2650
c0: -31
skew: 0.33
# Murphy_E = 5.399e-08
type: snfs
lss: 1
rlim: 590000
alim: 590000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 590000/590000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [295000, 695001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70847 x 71075
Total sieving time: 0.86 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,4,0,0,0,0,0,0,0,0,590000,590000,25,25,45,45,2.2,2.2,20000
total time: 0.88 hours.
 --------- CPU info (if available) ----------

1228264749843948364361693293813982070665651112190583389256432929826009691379161289945819402093231151207<103>

2697417983618938289402215598121555824657000899<46>
455348320988084646237474570957036811047159831914453092493<57>

Number: 1
N=1228264749843948364361693293813982070665651112190583389256432929826009691379161289945819402093231151207
  ( 103 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=2697417983618938289402215598121555824657000899 (pp46)
 r2=455348320988084646237474570957036811047159831914453092493 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.21 hours.
Scaled time: 9.38 units (timescale=7.776).
Factorization parameters were as follows:
n: 1228264749843948364361693293813982070665651112190583389256432929826009691379161289945819402093231151207
m: 1000000000000000000000000000000
deg: 4
c4: 2650
c0: -31
skew: 0.33
# Murphy_E = 2.268e-08
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 775001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 104068 x 104293
Total sieving time: 1.20 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,123.000,4,0,0,0,0,0,0,0,0,800000,800000,25,25,46,46,2.2,2.2,75000
total time: 1.21 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

2724626331672908853761291045062998167745682378662192978632130234595784005524208562796369977380411<97>

11216607223918849168111373138153429832835211<44>
242910024152649352348879661842705254808483441626173201<54>

prp54 = 242910024152649352348879661842705254808483441626173201
prp44 = 11216607223918849168111373138153429832835211

Yafu

4715711389108054419666662256053856499541998615108305940552990686844462524646585238337441556917450473<100>

152320346865964957654353997918873334831398009771<48>
30959169186094803030555714616137237426352810179371963<53>

Number: 1
N=4715711389108054419666662256053856499541998615108305940552990686844462524646585238337441556917450473
  ( 100 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=152320346865964957654353997918873334831398009771 (pp48)
 r2=30959169186094803030555714616137237426352810179371963 (pp53)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.60 hours.
Scaled time: 20.19 units (timescale=7.770).
Factorization parameters were as follows:
n: 4715711389108054419666662256053856499541998615108305940552990686844462524646585238337441556917450473
m: 100000000000000000000000000000000
deg: 4
c4: 53
c0: -62
skew: 1.04
# Murphy_E = 9.791e-09
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1210001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 160079 x 160305
Total sieving time: 2.57 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 2.60 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

293728538939746275529386037556779862856237593787846733763397962259013860613577225717274570695440377350203590022077967<117>

808656329072747756871175293196150089057101897764833371719<57>
363230371641995867894762346308429309214216127498453622719993<60>

Number: 1
N=293728538939746275529386037556779862856237593787846733763397962259013860613577225717274570695440377350203590022077967
  ( 117 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=808656329072747756871175293196150089057101897764833371719 (pp57)
 r2=363230371641995867894762346308429309214216127498453622719993 (pp60)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.10 hours.
Scaled time: 23.96 units (timescale=7.728).
Factorization parameters were as follows:
n: 293728538939746275529386037556779862856237593787846733763397962259013860613577225717274570695440377350203590022077967
m: 1000000000000000000000000000000000
deg: 4
c4: 265
c0: -31
skew: 0.58
# Murphy_E = 8.153e-09
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1410001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 173210 x 173436
Total sieving time: 3.07 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,100000
total time: 3.10 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

124525899107614577501373232563310105171916195059770641636527654515601414239744941711291173138509572395388296886750503561<120>

4875399489084022927195675185042867347441<40>
25541681125090771138599629051054321254324957662444090448433669515237088897975321<80>

Number: 1
N=124525899107614577501373232563310105171916195059770641636527654515601414239744941711291173138509572395388296886750503561
  ( 120 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=4875399489084022927195675185042867347441 (pp40)
 r2=25541681125090771138599629051054321254324957662444090448433669515237088897975321 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.14 hours.
Scaled time: 39.93 units (timescale=7.764).
Factorization parameters were as follows:
n: 124525899107614577501373232563310105171916195059770641636527654515601414239744941711291173138509572395388296886750503561
m: 50000000000000000000000000000000000
deg: 4
c4: 212
c0: -155
skew: 0.92
# Murphy_E = 4.147e-09
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 219718 x 219945
Total sieving time: 5.11 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,4,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 5.14 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

99190102334304019614264767596566451227976895532194948707056387765784486339<74>

4481742765375860907769423623418217<34>
22132038255431969582214631357691004987467<41>

P34 = 4481742765375860907769423623418217
P41 = 22132038255431969582214631357691004987467

521027242395759120105887633883447311495371388379713429108541701090040018996877768624445183716349530708310664748207884949<120>

48524565117923973524295396663502530545788468443787<50>
10737391280675329598596707129667685151477082532219016534607088307852127<71>

Number: 1
N=521027242395759120105887633883447311495371388379713429108541701090040018996877768624445183716349530708310664748207884949
  ( 120 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=48524565117923973524295396663502530545788468443787 (pp50)
 r2=10737391280675329598596707129667685151477082532219016534607088307852127 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.04 hours.
Scaled time: 54.57 units (timescale=7.752).
Factorization parameters were as follows:
n: 521027242395759120105887633883447311495371388379713429108541701090040018996877768624445183716349530708310664748207884949
m: 500000000000000000000000000000000000
deg: 4
c4: 212
c0: -155
skew: 0.92
# Murphy_E = 2.611e-09
type: snfs
lss: 1
rlim: 1840000
alim: 1840000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1840000/1840000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [920000, 1620001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 286757 x 286982
Total sieving time: 6.99 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,145.000,4,0,0,0,0,0,0,0,0,1840000,1840000,26,26,49,49,2.3,2.3,100000
total time: 7.04 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

357115503149311286765527295037618194142958885183356759912124094143527268264530864207171365814756553668638295968015894244841337<126>

8725509513822041555226584731317109228010725500074472329<55>
40927753569416912120372289382540934604304377726932176208112141417175153<71>

Number: 1
N=357115503149311286765527295037618194142958885183356759912124094143527268264530864207171365814756553668638295968015894244841337
  ( 126 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=8725509513822041555226584731317109228010725500074472329 (pp55)
 r2=40927753569416912120372289382540934604304377726932176208112141417175153 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.27 hours.
Scaled time: 41.07 units (timescale=7.794).
Factorization parameters were as follows:
n: 357115503149311286765527295037618194142958885183356759912124094143527268264530864207171365814756553668638295968015894244841337
m: 50000000000000000000000000000
deg: 5
c5: 424
c0: -155
skew: 0.82
# Murphy_E = 1.807e-09
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 2155001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 302830 x 303055
Total sieving time: 5.21 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,146.000,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 5.27 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

311031026084432352117027500803372202031718190289091244355815735727725107686867705541503417224899422113<102>

2491100976657676913949393281290324899377<40>
124856852050110104800213891172601903605089877403727403735776369<63>

311031026084432352117027500803372202031718190289091244355815735727725107686867705541503417224899422113=2491100976657676913949393281290324899377*124856852050110104800213891172601903605089877403727403735776369

cado polynomial
n: 311031026084432352117027500803372202031718190289091244355815735727725107686867705541503417224899422113
skew: 524676.662
c0: 293361033956015675350186118
c1: 2123113696693182774053
c2: 6173905026085317
c3: -16885997218
c4: -5400
Y0: -3275056215522683679183144
Y1: 1363426652196563
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.072e-06
# f(x) = -5400*x^4-16885997218*x^3+6173905026085317*x^2+2123113696693182774053*x+293361033956015675350186118
# g(x) = 1363426652196563*x-3275056215522683679183144

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

cado log (extracts)
Info:Square Root: Factors: 124856852050110104800213891172601903605089877403727403735776369 2491100976657676913949393281290324899377
Info:Square Root: Total cpu/real time for sqrt: 45.38/13.6476
Info:Generate Factor Base: Total cpu/real time for makefb: 0.76/0.234513
Info:Filtering - Singleton removal: Total cpu/real time for purge: 25.24/27.4062
Info:Filtering - Merging: Merged matrix has 211928 rows and total weight 36224990 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.28/12.088
Info:Filtering - Merging: Total cpu/real time for replay: 7.05/5.91854
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2544525
Info:Lattice Sieving: Average J: 1018.2 for 124687 special-q, max bucket fill -bkmult 1.0,1s:1.344070
Info:Lattice Sieving: Total time: 4326.34s
Info:Generate Free Relations: Total cpu/real time for freerel: 24.27/10.2021
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 63.57
Info:Polynomial Selection (root optimized): Rootsieve time: 63.21
Info:Linear Algebra: Total cpu/real time for bwc: 597.65/157.04
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 355.23, WCT time 91.99, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 28.84, WCT time 7.36
Info:Linear Algebra: Mksol: CPU time 195.48,  WCT time 50.45, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 6029/33.720/38.744/39.580/0.702
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3522/33.750/37.253/39.550/1.013
Info:Polynomial Selection (size optimized): Total time: 105.16
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 33.63/41.6961
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 25.1s
Info:Square Root: Total cpu/real time for sqrt: 45.38/13.6476
Info:Quadratic Characters: Total cpu/real time for characters: 6.94/2.79578
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.91/9.71294
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.099999999999998s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8785.49/2503.7
Info:root: Cleaning up computation data in /tmp/cado.nm8vcwsx
124856852050110104800213891172601903605089877403727403735776369 2491100976657676913949393281290324899377

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)

14021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021<149>

235347160884303063661797099934762171724984644835927<51>
59576516531919590924942398418959697627065195226236043990851831131891910429944415465202332900735123<98>

Number: n
N=14021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021  ( 149 digits)
SNFS difficulty: 150 digits.
Divisors found:

Mon Sep 12 10:50:06 2022  p51 factor: 235347160884303063661797099934762171724984644835927
Mon Sep 12 10:50:06 2022  p98 factor: 59576516531919590924942398418959697627065195226236043990851831131891910429944415465202332900735123
Mon Sep 12 10:50:06 2022  elapsed time 00:05:18 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 53x10^149-62 = 58(148)2
#
n: 14021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021
m: 10000000000000000000000000000000000000
deg: 4
c4: 265
c0: -31
skew: 0.58
# Murphy_E = 1.283e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1527867 hash collisions in 12846544 relations (12548808 unique)
Msieve: matrix is 310370 x 310595 (103.7 MB)

Sieving start time : 2022/09/12 10:12:37
Sieving end time  : 2022/09/12 10:44:10

Total sieving time: 0hrs 31min 33secs.

Total relation processing time: 0hrs 2min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,150,4,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

62321386595980904716694353344653574952062826862533335501254674316474928315161994596820767595149<95>

67557828439713484026766557951926449917361<41>
922489488417979301915318501770041762795444969828074909<54>

prp54 = 922489488417979301915318501770041762795444969828074909
prp41 = 67557828439713484026766557951926449917361

Yafu

29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<155>

2761850399069414917602269337284791185599898152701<49>
10661129384258297412107230611101990951885540640947186929085465822255360257567130105444494817392063042193741<107>

Number: n
N=29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441  ( 155 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon Sep 12 07:24:27 2022  p49 factor: 2761850399069414917602269337284791185599898152701
Mon Sep 12 07:24:27 2022  p107 factor: 10661129384258297412107230611101990951885540640947186929085465822255360257567130105444494817392063042193741
Mon Sep 12 07:24:27 2022  elapsed time 00:06:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 53x10^154-62 = 58(153)2
#
n: 29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 5000000000000000000000000000000
deg: 5
c5: 424
c0: -155
skew: 0.82
# Murphy_E = 7.552e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1144941 hash collisions in 14077327 relations (13560764 unique)
Msieve: matrix is 369805 x 370032 (125.7 MB)

Sieving start time : 2022/09/12 06:50:58
Sieving end time  : 2022/09/12 07:17:34

Total sieving time: 0hrs 26min 36secs.

Total relation processing time: 0hrs 2min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4180328503288342543908218826571853790002365783897120631114724387526237951864420104805636688198145801357065012074067776236570611<127>

1722466623860285986519818053027493797324572966405367957<55>
2426943109016329193126334230759268567488823209611864628044367234223006823<73>

n: 4180....0611
skew: 102059.025
c0: 2152431930934824554441154944100
c1: 21410825766286444207940620
c2: -984221724725243836609
c3: 3371640857948349
c4: 38687884434
c5: 182880
Y0: -2128132833305148076205561
Y1: 467672957074593937
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 1.854e-07

Factors: 

1722466623860285986519818053027493797324572966405367957 
2426943109016329193126334230759268567488823209611864628044367234223006823

Total cpu/elapsed time for entire Complete Factorization 216152/30923.1, (8.59 hours).

CADO-NFS v3.0.0

Ubuntu 20.04.4, Intel Xeon E5-1620, 16 GB RAM.

82566834337543218226378392509665905752913296463968438270961318605099222973429804774388077988810082515273870903054046680147411<125>

62998885326337070236547530601211636139756132921293177843339287<62>
1310607860914416003816246906232098051947743371056404916470239653<64>

Number: 1
N=82566834337543218226378392509665905752913296463968438270961318605099222973429804774388077988810082515273870903054046680147411
  ( 125 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=62998885326337070236547530601211636139756132921293177843339287 (pp62)
 r2=1310607860914416003816246906232098051947743371056404916470239653 (pp64)
Version: Msieve v. 1.52 (SVN 927)
Total time: 27.66 hours.
Scaled time: 213.29 units (timescale=7.710).
Factorization parameters were as follows:
n: 82566834337543218226378392509665905752913296463968438270961318605099222973429804774388077988810082515273870903054046680147411
m: 1000000000000000000000000000000000000000
deg: 4
c4: 265
c0: -31
skew: 0.58
# Murphy_E = 4.959e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 4050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 617785 x 618013
Total sieving time: 27.54 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,158.000,4,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 27.66 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

1037726698378593995237260763625225899653611258974354674060077447310059212242198930131812085460065324376910671304369372223755655751076627<136>

360141947322955378535984432184337450133<39>
197533731381153063552722651795736413219893607<45>
14587068225891923642192028863084710104810389058085217<53>

Number: n
N=1037726698378593995237260763625225899653611258974354674060077447310059212242198930131812085460065324376910671304369372223755655751076627  ( 136 digits)
SNFS difficulty: 161 digits.
Divisors found:

Sat Sep 17 15:58:58 2022  found factor: 360141947322955378535984432184337450133
Sat Sep 17 15:59:30 2022  found factor: 360141947322955378535984432184337450133
Sat Sep 17 16:01:06 2022  p39 factor: 360141947322955378535984432184337450133
Sat Sep 17 16:01:06 2022  p45 factor: 197533731381153063552722651795736413219893607
Sat Sep 17 16:01:06 2022  p53 factor: 14587068225891923642192028863084710104810389058085217
Sat Sep 17 16:01:06 2022  elapsed time 00:09:47 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 53x10^159-62 = 58(158)2
#
n: 1037726698378593995237260763625225899653611258974354674060077447310059212242198930131812085460065324376910671304369372223755655751076627
m: 50000000000000000000000000000000
deg: 5
c5: 424
c0: -155
skew: 0.82
# Murphy_E = 4.845e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 28900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 975762 hash collisions in 12734229 relations (12611019 unique)
Msieve: matrix is 533177 x 533404 (184.3 MB)

Sieving start time : 2022/09/17 13:01:58
Sieving end time  : 2022/09/17 15:49:58

Total sieving time: 2hrs 48min 0secs.

Total relation processing time: 0hrs 4min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 41sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2312450851844388008738864758048514072363730851446468374040275116223818850235668386850469319617996390588068587158867074682887008680178088904193<142>

5065703744786745328102655258187307481167600739276132523000949<61>
456491529774948763835564259719200469075251926956621961176532797099636980886804957<81>

N=2312450851844388008738864758048514072363730851446468374040275116223818850235668386850469319617996390588068587158867074682887008680178088904193  ( 142 digits)
SNFS difficulty: 167 digits.
Divisors found:

Thu Sep 15 01:07:01 2022  p61 factor: 5065703744786745328102655258187307481167600739276132523000949
Thu Sep 15 01:07:01 2022  p81 factor: 456491529774948763835564259719200469075251926956621961176532797099636980886804957
Thu Sep 15 01:07:01 2022  elapsed time 00:12:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 53x10^166-62 = 58(165)2
#
n: 2312450851844388008738864758048514072363730851446468374040275116223818850235668386850469319617996390588068587158867074682887008680178088904193
m: 1000000000000000000000000000000000
deg: 5
c5: 265
c0: -31
skew: 0.65
# Murphy_E = 2.475e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1124231 hash collisions in 12519234 relations (12188547 unique)
Msieve: matrix is 742093 x 742318 (255.7 MB)

Sieving start time : 2022/09/15 00:50:50
Sieving end time  : 2022/09/15 00:54:08

Total sieving time: 0hrs 3min 18secs.

Total relation processing time: 0hrs 8min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

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

8976899358704198601859103662154548460590315956064967832839402311807680561243606927511852716818448927900935247589032642245211824354220237372186356460525926181344119<163>

4945386772345167138465350014953694469253308598159874363844551<61>
1815206731433714622441888003173719300609085202555306274997924987106500167633110989048857425890405865169<103>

Number: n
N=8976899358704198601859103662154548460590315956064967832839402311807680561243606927511852716818448927900935247589032642245211824354220237372186356460525926181344119  ( 163 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue Sep 13 17:45:24 2022  p61 factor: 4945386772345167138465350014953694469253308598159874363844551
Tue Sep 13 17:45:24 2022  p103 factor: 1815206731433714622441888003173719300609085202555306274997924987106500167633110989048857425890405865169
Tue Sep 13 17:45:24 2022  elapsed time 00:13:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 53x10^170-62 = 58(169)2
#
n: 8976899358704198601859103662154548460590315956064967832839402311807680561243606927511852716818448927900935247589032642245211824354220237372186356460525926181344119
m: 10000000000000000000000000000000000
deg: 5
c5: 53
c0: -62
skew: 1.03
# Murphy_E = 1.662e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1675517 hash collisions in 13179948 relations (12225135 unique)
Msieve: matrix is 789357 x 789582 (272.4 MB)

Sieving start time : 2022/09/13 16:38:23
Sieving end time  : 2022/09/13 17:32:06

Total sieving time: 0hrs 53min 43secs.

Total relation processing time: 0hrs 8min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

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

827163482040927485957567313769123854457981223443713334595302384168758050656983820128373084106505731559065999536773359167830801018389<132>

407604778503780643252320648481940024725616442845083<51>
2029327244585419706024312451772739376139294935642187370628354878074266577019245583<82>

Number: n
N=827163482040927485957567313769123854457981223443713334595302384168758050656983820128373084106505731559065999536773359167830801018389  ( 132 digits)
SNFS difficulty: 174 digits.
Divisors found:

Wed Sep 21 16:26:52 2022  p51 factor: 407604778503780643252320648481940024725616442845083
Wed Sep 21 16:26:52 2022  p82 factor: 2029327244585419706024312451772739376139294935642187370628354878074266577019245583
Wed Sep 21 16:26:52 2022  elapsed time 00:26:33 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 53x10^173-62 = 58(172)2
#
n: 827163482040927485957567313769123854457981223443713334595302384168758050656983820128373084106505731559065999536773359167830801018389
m: 10000000000000000000000000000000000
deg: 5
c5: 26500
c0: -31
skew: 0.26
# Murphy_E = 9.95e-11
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 30050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1587598 hash collisions in 12862906 relations (11988529 unique)
Msieve: matrix is 1110788 x 1111013 (385.1 MB)

Sieving start time : 2022/09/21 13:00:57
Sieving end time  : 2022/09/21 15:59:49

Total sieving time: 2hrs 58min 52secs.

Total relation processing time: 0hrs 20min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 1sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

42142082170298733781712906178163766872616469376115634199321841376131188921364261224239328177134444448259495581295261891324793950912930358686214634380346574413240575061<167>

2174664762832516278266242286568684297144308542025492094989<58>
19378656835092307673840525724535732175945776760951627908372377915712347876071420060198392069309920911916825449<110>

Number: n
N=42142082170298733781712906178163766872616469376115634199321841376131188921364261224239328177134444448259495581295261891324793950912930358686214634380346574413240575061  ( 167 digits)
SNFS difficulty: 176 digits.
Divisors found:

Tue Sep 13 09:31:21 2022  p58 factor: 2174664762832516278266242286568684297144308542025492094989
Tue Sep 13 09:31:21 2022  p110 factor: 19378656835092307673840525724535732175945776760951627908372377915712347876071420060198392069309920911916825449
Tue Sep 13 09:31:21 2022  elapsed time 00:20:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 53x10^175-62 = 58(174)2
#
n: 42142082170298733781712906178163766872616469376115634199321841376131188921364261224239328177134444448259495581295261891324793950912930358686214634380346574413240575061
m: 100000000000000000000000000000000000
deg: 5
c5: 53
c0: -62
skew: 1.03
# Murphy_E = 1.05e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1715164 hash collisions in 12931454 relations (11897833 unique)
Msieve: matrix is 1004913 x 1005141 (348.3 MB)

Sieving start time : 2022/09/13 07:51:41
Sieving end time  : 2022/09/13 09:10:09

Total sieving time: 1hrs 18min 28secs.

Total relation processing time: 0hrs 16min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1293969240012146470179884724420581519903810311721891501866413471143639264997746067653178589111070970190102866447537264408435420295142425791785774817552892091<157>

14767117734769176660162638940690161872697<41>
16185593299620481572792807417043896134730405742544971<53>
5413767386926281654722329802774132507828509375811760342992280793<64>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1293969240012146470179884724420581519903810311721891501866413471143639264997746067653178589111070970190102866447537264408435420295142425791785774817552892091 (157 digits)
Using B1=23330000, B2=96188942866, polynomial Dickson(12), sigma=1:1471365124
Step 1 took 55294ms
Step 2 took 19312ms
********** Factor found in step 2: 14767117734769176660162638940690161872697
Found prime factor of 41 digits: 14767117734769176660162638940690161872697
Composite cofactor 87625037143537907460634799389191371539485418932701787324551294878328952677372105139546473048350116460764359662042003 has 116 digits


Number: n
N=87625037143537907460634799389191371539485418932701787324551294878328952677372105139546473048350116460764359662042003  ( 116 digits)
Divisors found:

Mon Sep 19 00:34:23 2022  p53 factor: 16185593299620481572792807417043896134730405742544971
Mon Sep 19 00:34:23 2022  p64 factor: 5413767386926281654722329802774132507828509375811760342992280793
Mon Sep 19 00:34:23 2022  elapsed time 00:04:41 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# Polynomial selection complete  --  53x10^176-62 = 58(175)2
#

n: 87625037143537907460634799389191371539485418932701787324551294878328952677372105139546473048350116460764359662042003

Y0: -57124204402816841377265
Y1: 7721703150539
c0: 199336352624668509767464270752
c1: 1176820084965054572679672
c2: -25543972232982698512
c3: -68050079181059
c4: 404575586
c5: 144

# skew 271953.85, size 4.098e-11, alpha -6.376, combined = 4.817e-10 rroots = 5

skew: 271953.85

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

Msieve: found 534846 hash collisions in 5767221 relations (5437788 unique)
Msieve: matrix is 408137 x 408362 (143.7 MB)

Sieving start time : 2022/09/19 00:11:17
Sieving end time  : 2022/09/19 00:29:30

Total sieving time: 0hrs 18min 13secs.

Total relation processing time: 0hrs 2min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 34sec.

Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2600000,2600000,26,26,49,49,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3093599867416623625934141517546920880245914989782423641110074677180116117975221868897891849037248596982092639936947005377779919392030914097346514426039281076897973699<166>

316417777584207423200914762645010734290546991<45>
9776947082542895698524723318791508062127583169331086388296430547514666665860185864792265865872185883275631658487107356589<121>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3093599867416623625934141517546920880245914989782423641110074677180116117975221868897891849037248596982092639936947005377779919392030914097346514426039281076897973699 (166 digits)
Using B1=24670000, B2=96189633556, polynomial Dickson(12), sigma=1:271035664
Step 1 took 58849ms
Step 2 took 20147ms
********** Factor found in step 2: 316417777584207423200914762645010734290546991
Found prime factor of 45 digits: 316417777584207423200914762645010734290546991
Prime cofactor 9776947082542895698524723318791508062127583169331086388296430547514666665860185864792265865872185883275631658487107356589 has 121 digits

44012368332937684432076743371408832598593342610563300544354585125905822033483901555491781013683940988837325206290595622169537896510010828588606183<146>

6507720208207959572087781443394948904654852330069<49>
6763100890143744309078623579394814185159387673173260230384262980656484275141978232025918074975307<97>

Number: n
N=44012368332937684432076743371408832598593342610563300544354585125905822033483901555491781013683940988837325206290595622169537896510010828588606183  ( 146 digits)
SNFS difficulty: 182 digits.
Divisors found:

Wed Oct  5 06:14:08 2022  p49 factor: 6507720208207959572087781443394948904654852330069
Wed Oct  5 06:14:08 2022  p97 factor: 6763100890143744309078623579394814185159387673173260230384262980656484275141978232025918074975307
Wed Oct  5 06:14:08 2022  elapsed time 00:18:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 53x10^181-62 = 58(180)2
#
n: 44012368332937684432076743371408832598593342610563300544354585125905822033483901555491781013683940988837325206290595622169537896510010828588606183
m: 1000000000000000000000000000000000000
deg: 5
c5: 265
c0: -31
skew: 0.65
# Murphy_E = 6.228e-11
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1515386 hash collisions in 11579217 relations (10680200 unique)
Msieve: matrix is 958786 x 959012 (335.3 MB)

Sieving start time : 2022/10/05 02:46:04
Sieving end time  : 2022/10/05 05:55:01

Total sieving time: 3hrs 8min 57secs.

Total relation processing time: 0hrs 14min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

517648645277802310960163049816609419777364692541627732184975321634132992773381740312172162251220328099316206669606940732429691684653095177460497694256799834249<159>

40329562463379135950785905615921399772391<41>
67675173024818252043812277791357107564928381329<47>
189662816957348662834751957309761843804182774193461988651816847220856991<72>

#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 517648645277802310960163049816609419777364692541627732184975321634132992773381740312172162251220328099316206669606940732429691684653095177460497694256799834249 (159 digits)
# Using B1=17610000, B2=58560416470, polynomial Dickson(12), sigma=1:1427509566
# Step 1 took 41946ms
# Step 2 took 16343ms
# ********** Factor found in step 2: 40329562463379135950785905615921399772391
# Found prime factor of 41 digits: 40329562463379135950785905615921399772391
# Composite cofactor 12835463953963003973247421512349330843933605239867903925667407172442627637897267641052403921397143933935869093823521039 has 119 digits
#

Number: n
N=12835463953963003973247421512349330843933605239867903925667407172442627637897267641052403921397143933935869093823521039
  ( 119 digits)
Divisors found:

Fri Sep 16 15:49:38 2022  p47 factor: 67675173024818252043812277791357107564928381329
Fri Sep 16 15:49:38 2022  p72 factor: 189662816957348662834751957309761843804182774193461988651816847220856991
Fri Sep 16 15:49:38 2022  elapsed time 00:09:23 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# Polynomial selection complete    n = 58(181)2
#
# c119=128354...1039
#
n: 12835463953963003973247421512349330843933605239867903925667407172442627637897267641052403921397143933935869093823521039

type: gnfs

Y0: -124327456032562806967033
Y1: 18108344193427
c0: 70128407412842869935072785160
c1: -46416325907523881071386
c2: -18585965099351377489
c3: -68647417741172
c4: 632406800
c5: 432
#
# skew 195685.18, size 2.848e-11, alpha -6.338, combined = 4.025e-10 rroots = 3
#
skew: 195685.18
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 617395 hash collisions in 5850893 relations (5428369 unique)
Msieve: matrix is 434603 x 434828 (154.9 MB)

Sieving start time : 2022/09/16 15:03:21
Sieving end time  : 2022/09/16 15:40:02

Total sieving time: 0hrs 36min 41secs.

Total relation processing time: 0hrs 2min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 47sec.

Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

20844982281597700055536258165447128116081311976514215337079498028223469217536096082804313516024388521390514216296531767757190176421564467022197799979529374578414350121<167>

66792375388150755873386682398871192781829475769733925863<56>
312086254762780697222828293939629720591837710767350011698923620301753446439807960517241390815437017512598637167<111>

Number: n
N=20844982281597700055536258165447128116081311976514215337079498028223469217536096082804313516024388521390514216296531767757190176421564467022197799979529374578414350121  ( 167 digits)
SNFS difficulty: 184 digits.
Divisors found:

Thu Sep 22 11:07:38 2022  p56 factor: 66792375388150755873386682398871192781829475769733925863
Thu Sep 22 11:07:38 2022  p111 factor: 312086254762780697222828293939629720591837710767350011698923620301753446439807960517241390815437017512598637167
Thu Sep 22 11:07:38 2022  elapsed time 00:33:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 53x10^183-62 = 58(182)2
#
n: 20844982281597700055536258165447128116081311976514215337079498028223469217536096082804313516024388521390514216296531767757190176421564467022197799979529374578414350121
m: 1000000000000000000000000000000000000
deg: 5
c5: 26500
c0: -31
skew: 0.26
# Murphy_E = 3.941e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 24150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3479918 hash collisions in 28654126 relations (26789712 unique)
Msieve: matrix is 1200928 x 1201154 (416.5 MB)

Sieving start time : 2022/09/22 03:46:08
Sieving end time  : 2022/09/22 10:32:58

Total sieving time: 6hrs 46min 50secs.

Total relation processing time: 0hrs 24min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 49sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

106150905547436971945850856429014862756014900928118478785961478976006891417390160812565369093412650441584794538273465913265583<126>

20860066963232903103755370071454560968368823<44>
5088713556602392329741062068293046449261618805188432503350705404682404048669906121<82>

Number: 58882_184
N = 106150905547436971945850856429014862756014900928118478785961478976006891417390160812565369093412650441584794538273465913265583 (126 digits)
Divisors found:
r1=20860066963232903103755370071454560968368823 (pp44)
r2=5088713556602392329741062068293046449261618805188432503350705404682404048669906121 (pp82)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 7.89 hours.
Factorization parameters were as follows:
n: 106150905547436971945850856429014862756014900928118478785961478976006891417390160812565369093412650441584794538273465913265583
# norm 4.887196e-12 alpha -6.977769 e 1.310e-10 rroots 5
skew: 2105081.89
c0: -989400566375697758623448060290925
c1: 4325343672012139785903116647
c2: -704761361352252144215
c3: -5046366183151663
c4: -80011256
c5: 132
Y0: -3811272813720300347277714
Y1: 5976641087071
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18661951
Relations: 1917138 relations
Pruned matrix : 1066621 x 1066859
Polynomial selection time: 0.07 hours.
Total sieving time: 7.05 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.49 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 7.89 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

5803139502691322810512650687416419677006067065751491108767386483139331011139064983068963400060702328654222005715939767171609929<127>

843946381880285373533364871981980299898756882304749605694779<60>
6876194539470759732834909938592943483554310545525822641627496107851<67>

Command line parameters: ./cado-nfs.py workdir=temp 5803....9929
Process with PID 90088 finished successfully
Square Root: finished
Square Root: Factors:

6876194539470759732834909938592943483554310545525822641627496107851
843946381880285373533364871981980299898756882304749605694779

Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 228030/32665.9, (9.07 hours).

CADO-NFS

Ubuntu 20.04.4. Xeon E5-1620.

1182857763420774301355444878357884093874602570874497499311939145197667446574461619573043088308080458192733465862070537523507222854569339156217033781883806284491489<163>

1960645490116926333377625879504659835729252736750744050113<58>
603300173021198556500894428109437387597869462094682060402440309133192142148316024422758284031547775883553<105>

Number: n
N=1182857763420774301355444878357884093874602570874497499311939145197667446574461619573043088308080458192733465862070537523507222854569339156217033781883806284491489  ( 163 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon Sep 26 12:01:44 2022  p58 factor: 1960645490116926333377625879504659835729252736750744050113
Mon Sep 26 12:01:44 2022  p105 factor: 603300173021198556500894428109437387597869462094682060402440309133192142148316024422758284031547775883553
Mon Sep 26 12:01:44 2022  elapsed time 00:33:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 53x10^186-62 = 58(185)2
#
n: 1182857763420774301355444878357884093874602570874497499311939145197667446574461619573043088308080458192733465862070537523507222854569339156217033781883806284491489
m: 10000000000000000000000000000000000000
deg: 5
c5: 265
c0: -31
skew: 0.65
# Murphy_E = 3.897e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3450678 hash collisions in 28649143 relations (26822820 unique)
Msieve: matrix is 1202760 x 1202985 (419.3 MB)

Sieving start time : 2022/09/26 06:51:54
Sieving end time  : 2022/09/26 11:27:34

Total sieving time: 4hrs 35min 40secs.

Total relation processing time: 0hrs 24min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 33sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

161431606544829473099587805197631397244328988587372249385972074772908556028704868359949182911039688022562644253348640462849490924471678698123872178945171868601806616043541487<174>

5742847495730952230005045923251399527524300749938249437577937<61>
28110028459720117487022015913453793441790795732543351089868223485967413345998986592171021776227695609457844329151<113>

Number: n
N=161431606544829473099587805197631397244328988587372249385972074772908556028704868359949182911039688022562644253348640462849490924471678698123872178945171868601806616043541487  ( 174 digits)
SNFS difficulty: 189 digits.
Divisors found:

Sun Sep 18 17:50:54 2022  p61 factor: 5742847495730952230005045923251399527524300749938249437577937
Sun Sep 18 17:50:54 2022  p113 factor: 28110028459720117487022015913453793441790795732543351089868223485967413345998986592171021776227695609457844329151
Sun Sep 18 17:50:54 2022  elapsed time 00:56:46 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.236).
Factorization parameters were as follows:
#
# N = 53x10^188-62 = 58(187)2
#
n: 161431606544829473099587805197631397244328988587372249385972074772908556028704868359949182911039688022562644253348640462849490924471678698123872178945171868601806616043541487
m: 10000000000000000000000000000000000000
deg: 5
c5: 26500
c0: -31
skew: 0.26
# Murphy_E = 2.464e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3971634 hash collisions in 28729650 relations (26235432 unique)
Msieve: matrix is 1438043 x 1438268 (500.6 MB)

Sieving start time : 2022/09/18 09:50:02
Sieving end time  : 2022/09/18 16:53:39

Total sieving time: 7hrs 3min 37secs.

Total relation processing time: 0hrs 37min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 1sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

24010457007675612751207126697694892094808679768177415346454989266249879042371394276860001852406630512120468513272117136930041083473093882646341497493545423823<158>

272522734309897193146633098398353994299614274090319<51>
88104418401924225465293620511095323337448848550733689140458568272337043418801159489328857498684655306463617<107>

Number: n
N=24010457007675612751207126697694892094808679768177415346454989266249879042371394276860001852406630512120468513272117136930041083473093882646341497493545423823  ( 158 digits)
SNFS difficulty: 191 digits.
Divisors found:

Tue Sep 27 21:16:40 2022  p51 factor: 272522734309897193146633098398353994299614274090319
Tue Sep 27 21:16:40 2022  p107 factor: 88104418401924225465293620511095323337448848550733689140458568272337043418801159489328857498684655306463617
Tue Sep 27 21:16:40 2022  elapsed time 00:39:04 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 53x10^189-62 = 58(188)2
#
n: 24010457007675612751207126697694892094808679768177415346454989266249879042371394276860001852406630512120468513272117136930041083473093882646341497493545423823
m: 50000000000000000000000000000000000000
deg: 5
c5: 424
c0: -155
skew: 0.82
# Murphy_E = 3.059e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3465891 hash collisions in 28931972 relations (27116573 unique)
Msieve: matrix is 1276730 x 1276955 (445.1 MB)

Sieving start time : 2022/09/27 15:08:40
Sieving end time  : 2022/09/27 20:36:31

Total sieving time: 5hrs 27min 51secs.

Total relation processing time: 0hrs 28min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 10sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

31198696549110143440966883011058421038854839352215560331533465379297297464194089716461652722946570026309279715706144350933728793805546176788186741677356144376957219647<167>

1063387123307035331885800862277610322905528735425478685441648575163<67>
29338982826954957504691314213939269826209215439475293608546458922209491462232255087656539462084481869<101>

Number: n
N=31198696549110143440966883011058421038854839352215560331533465379297297464194089716461652722946570026309279715706144350933728793805546176788186741677356144376957219647  ( 167 digits)
SNFS difficulty: 191 digits.
Divisors found:

Thu Sep 22 03:44:01 2022  p67 factor: 1063387123307035331885800862277610322905528735425478685441648575163
Thu Sep 22 03:44:01 2022  p101 factor: 29338982826954957504691314213939269826209215439475293608546458922209491462232255087656539462084481869
Thu Sep 22 03:44:01 2022  elapsed time 00:50:23 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 53x10^190-62 = 58(189)2
#
n: 31198696549110143440966883011058421038854839352215560331533465379297297464194089716461652722946570026309279715706144350933728793805546176788186741677356144376957219647
m: 100000000000000000000000000000000000000
deg: 5
c5: 53
c0: -62
skew: 1.03
# Murphy_E = 2.576e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3678377 hash collisions in 28598831 relations (26471936 unique)
Msieve: matrix is 1444764 x 1444990 (501.0 MB)

Sieving start time : 2022/09/21 19:03:14
Sieving end time  : 2022/09/22 02:52:44

Total sieving time: 7hrs 49min 30secs.

Total relation processing time: 0hrs 39min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 12sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

14021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021<191>

1959246184207714432114526867323854353935022366592659<52>
7156407466391947838628226496558954197055322160563926865991882771300537828601065826198830274926423470061679917765991229104190998453975186519<139>

Number: n
N=14021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021  ( 191 digits)
SNFS difficulty: 192 digits.
Divisors found:

Tue Sep 20 01:34:54 2022  p52 factor: 1959246184207714432114526867323854353935022366592659
Tue Sep 20 01:34:54 2022  p139 factor: 7156407466391947838628226496558954197055322160563926865991882771300537828601065826198830274926423470061679917765991229104190998453975186519
Tue Sep 20 01:34:54 2022  elapsed time 00:56:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 53x10^191-62 = 58(190)2
#
n: 14021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021
m: 100000000000000000000000000000000000000
deg: 5
c5: 265
c0: -31
skew: 0.65
# Murphy_E = 2.428e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3424086 hash collisions in 27967930 relations (26099693 unique)
Msieve: matrix is 1568168 x 1568393 (547.4 MB)

Sieving start time : 2022/09/19 18:31:33
Sieving end time  : 2022/09/20 00:37:56

Total sieving time: 6hrs 6min 23secs.

Total relation processing time: 0hrs 46min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 9sec.

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

739518256041620173624828974183797682345247993168701616758395013970430114779606868772558328892482253303280962347425565788521100610508048861346513187986577378749421348557185191165218169147<186>

53319919508517441071715369740450215089930780707<47>
267413389843661572662973849613266148610370568322275941<54>
51865224866947147355668568991890312219431902375580761936813897264875505150292641325781<86>

Number: n
N=739518256041620173624828974183797682345247993168701616758395013970430114779606868772558328892482253303280962347425565788521100610508048861346513187986577378749421348557185191165218169147  ( 186 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat Sep 24 23:55:19 2022  found factor: 267413389843661572662973849613266148610370568322275941
Sat Sep 24 23:57:42 2022  found factor: 267413389843661572662973849613266148610370568322275941
Sun Sep 25 00:02:27 2022  p47 factor: 53319919508517441071715369740450215089930780707
Sun Sep 25 00:02:27 2022  p54 factor: 267413389843661572662973849613266148610370568322275941
Sun Sep 25 00:02:27 2022  p86 factor: 51865224866947147355668568991890312219431902375580761936813897264875505150292641325781
Sun Sep 25 00:02:27 2022  elapsed time 01:26:59 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 53x10^195-62 = 58(194)2
#
n: 739518256041620173624828974183797682345247993168701616758395013970430114779606868772558328892482253303280962347425565788521100610508048861346513187986577378749421348557185191165218169147
m: 1000000000000000000000000000000000000000
deg: 5
c5: 53
c0: -62
skew: 1.03
# Murphy_E = 1.599e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3558711 hash collisions in 27415725 relations (25315016 unique)
Msieve: matrix is 1908509 x 1908734 (665.9 MB)

Sieving start time : 2022/09/24 14:48:13
Sieving end time  : 2022/09/24 22:34:59

Total sieving time: 7hrs 46min 46secs.

Total relation processing time: 1hrs 9min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 31sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

132911534119746760574539961094198958215117256399312019945086898385639980576240009294879929710150531807468305473<111>

1353161631172769348805478869724835242723861530853336831<55>
98222955083757355359841268346291694805355560402733243583<56>

132911534119746760574539961094198958215117256399312019945086898385639980576240009294879929710150531807468305473=1353161631172769348805478869724835242723861530853336831*98222955083757355359841268346291694805355560402733243583

cado polynomial
n: 132911534119746760574539961094198958215117256399312019945086898385639980576240009294879929710150531807468305473
skew: 13699.028
c0: -8802134061962787638231880
c1: 11157818026480047157839
c2: 155425928172322940
c3: -77155662530069
c4: 755748950
c5: 96600
Y0: -1699553324389178883494
Y1: 22577020097337401
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.548e-06
# f(x) = 96600*x^5+755748950*x^4-77155662530069*x^3+155425928172322940*x^2+11157818026480047157839*x-8802134061962787638231880
# g(x) = 22577020097337401*x-1699553324389178883494

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
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: 98222955083757355359841268346291694805355560402733243583 1353161631172769348805478869724835242723861530853336831
Info:Square Root: Total cpu/real time for sqrt: 89.25/26.1811
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.66/78.7929
Info:Filtering - Merging: Merged matrix has 293437 rows and total weight 45742838 (155.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.8/13.2715
Info:Filtering - Merging: Total cpu/real time for replay: 9.55/7.81395
Info:Generate Factor Base: Total cpu/real time for makefb: 2.26/0.626395
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5318954
Info:Lattice Sieving: Average J: 1903.42 for 93378 special-q, max bucket fill -bkmult 1.0,1s:1.310370
Info:Lattice Sieving: Total time: 8906.88s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 233.85
Info:Polynomial Selection (root optimized): Rootsieve time: 232.87
Info:Linear Algebra: Total cpu/real time for bwc: 1096.55/283.51
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 660.99, WCT time 168.95, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Linear Algebra: Lingen CPU time 44.88, WCT time 11.4
Info:Linear Algebra: Mksol: CPU time 367.16,  WCT time 93.88, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11851/30.950/39.174/44.670/1.081
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9272/31.010/34.679/39.590/0.856
Info:Polynomial Selection (size optimized): Total time: 713.2
Info:Generate Free Relations: Total cpu/real time for freerel: 63.42/16.2357
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 91.13/99.9484
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 72.00s
Info:Square Root: Total cpu/real time for sqrt: 89.25/26.1811
Info:Quadratic Characters: Total cpu/real time for characters: 10.86/4.27435
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.63/21.6458
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.7s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 18590.7/5207.26
Info:root: Cleaning up computation data in /tmp/cado.olxkjgxm
98222955083757355359841268346291694805355560402733243583 1353161631172769348805478869724835242723861530853336831

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)

2944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<202>

4628100406355727177889785518860826265093278548300524569<55>
636210147990926539970746984725560710060677213481877569896367364679553432606322966325308622782399584402414031089030348189692315810824696216042476289<147>

Number: 58882_201
N = 2944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441 (202 digits)
SNFS difficulty: 203 digits.
Divisors found:
r1=4628100406355727177889785518860826265093278548300524569 (pp55)
r2=636210147990926539970746984725560710060677213481877569896367364679553432606322966325308622782399584402414031089030348189692315810824696216042476289 (pp147)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 117.08 hours.
Factorization parameters were as follows:
n: 2944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 10000000000000000000000000000000000000000
deg: 5
c5: 265
c0: -31
skew: 0.65
# Murphy_E = 9.308e-12
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 39713556
Relations: 6326130 relations
Pruned matrix : 3758075 x 3758300
Total sieving time: 107.99 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 8.60 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,203,5,0,0,0,0,0,0,0,0,16600000,16600000,29,29,56,56,2.6,2.6,100000
total time: 117.08 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

24172551489129712676018937302419369979061546814777317165902810495597071441207058508119743895466608684188677433852777021116656603626406901940732748415998006734521964736069251<173>

1917068118190694969075761285334241464330279363761<49>
435224852893584274438511815719124764461455323401092943<54>
28971518726087527434715967600231488558901279958551518072984080533217437<71>

Number: n
N=24172551489129712676018937302419369979061546814777317165902810495597071441207058508119743895466608684188677433852777021116656603626406901940732748415998006734521964736069251  ( 173 digits)
SNFS difficulty: 206 digits.
Divisors found:

Fri Feb  9 00:17:00 2024  prp49 factor: 1917068118190694969075761285334241464330279363761
Fri Feb  9 00:17:00 2024  prp54 factor: 435224852893584274438511815719124764461455323401092943
Fri Feb  9 00:17:00 2024  prp71 factor: 28971518726087527434715967600231488558901279958551518072984080533217437
Fri Feb  9 00:17:00 2024  elapsed time 03:10:40 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 53x10^205-62 = 58(204)2
#
n: 24172551489129712676018937302419369979061546814777317165902810495597071441207058508119743895466608684188677433852777021116656603626406901940732748415998006734521964736069251
m: 10000000000000000000000000000000000
deg: 6
c6: 265
c0: -31
skew: 0.70
# Murphy_E = 8.765e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 78450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2980843 hash collisions in 19297579 relations (17110471 unique)
Msieve: matrix is 2390160 x 2390385 (680.3 MB)

Sieving start time: 2024/02/07 09:32:36
Sieving end time  : 2024/02/08 21:06:03

Total sieving time: 35hrs 33min 27secs.

Total relation processing time: 2hrs 53min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 29sec.

Prototype def-par.txt line would be:
snfs,206,6,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

8239160097115926958446228055240993438105112894836436255108710308941568730961395311015131958951585741723628087409742336208394901712576915608949<142>

74197199306265508275783893197276248233587616816798899<53>
111044084873162851656269688605836629590013859848991233534087042941361008394286459141744951<90>

8239160097115926958446228055240993438105112894836436255108710308941568730961395311015131958951585741723628087409742336208394901712576915608949=74197199306265508275783893197276248233587616816798899*111044084873162851656269688605836629590013859848991233534087042941361008394286459141744951

cado polynomial
n: 8239160097115926958446228055240993438105112894836436255108710308941568730961395311015131958951585741723628087409742336208394901712576915608949
skew: 1491239.363
c0: 52467139394892882429225157413018360
c1: -5189213515878760627473720003
c2: -148503556723278599224180
c3: -24039865553964157
c4: -1921690620
c5: 7920
Y0: -5742200328600408190928454886
Y1: 4461848651249667857
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.341e-07
# f(x) = 7920*x^5-1921690620*x^4-24039865553964157*x^3-148503556723278599224180*x^2-5189213515878760627473720003*x+52467139394892882429225157413018360
# g(x) = 4461848651249667857*x-5742200328600408190928454886

cado parameters (extracts)
tasks.lim0 = 14900000
tasks.lim1 = 14900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 111044084873162851656269688605836629590013859848991233534087042941361008394286459141744951 74197199306265508275783893197276248233587616816798899
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 537.11/309.257
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 92691.9/56903.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 60044.92, WCT time 36843.72, iteration CPU time 0.4, COMM 0.03, cpu-wait 0.14, comm-wait 0.01 (62720 iterations)
Info:Linear Algebra: Lingen CPU time 167.31, WCT time 171.74
Info:Linear Algebra: Mksol: CPU time 32202.25,  WCT time 19700.8, iteration CPU time 0.46, COMM 0.03, cpu-wait 0.13, comm-wait 0.0 (31488 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7797.48
Info:Polynomial Selection (root optimized): Rootsieve time: 7795.16
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33972633
Info:Lattice Sieving: Average J: 3902.42 for 980522 special-q, max bucket fill -bkmult 1.0,1s:1.280220
Info:Lattice Sieving: Total time: 601487s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48629/42.810/51.103/57.350/0.916
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39952/41.480/45.726/51.810/1.134
Info:Polynomial Selection (size optimized): Total time: 17197.6
Info:Square Root: Total cpu/real time for sqrt: 537.11/309.257
Info:Generate Factor Base: Total cpu/real time for makefb: 5.02/4.42463
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 147.22/258.364
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 257.4s
Info:Quadratic Characters: Total cpu/real time for characters: 70.07/47.5468
Info:Filtering - Singleton removal: Total cpu/real time for purge: 300.39/371.618
Info:Generate Free Relations: Total cpu/real time for freerel: 232.43/112.682
Info:Filtering - Merging: Merged matrix has 2000979 rows and total weight 340602454 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 559.98/296.955
Info:Filtering - Merging: Total cpu/real time for replay: 79.3/80.4195
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 526.73/579.642
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 474.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 689492/110994
Info:root: Cleaning up computation data in /tmp/cado.bt3_lro1
111044084873162851656269688605836629590013859848991233534087042941361008394286459141744951 74197199306265508275783893197276248233587616816798899

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

72169507163150391258132107726252290054205835985835059341990024866888790792826699580319337269322085130115766153258239463272379512258862272502309356144780092567060927322610142855045856368682584318699018541<203>

1450190415878310250896538605679295900541108602187573447656738244349326862679404480733660247633637538915022070950174877305199685560157416647108604570355095789<157>

7142260502621157586916869175401250694809<40>

203043618381897570118000359932718176402536482326715463111139636046635538681971601121542117973544864017979672661327221<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:10911298319542725004
Step 1 took 14953ms
Step 2 took 5625ms
********** Factor found in step 1: 7142260502621157586916869175401250694809
Found prime factor of 40 digits: 7142260502621157586916869175401250694809
Composite cofactor 203043618381897570118000359932718176402536482326715463111139636046635538681971601121542117973544864017979672661327221 has 117 digits

GMP-ECM 7.0.5

203043618381897570118000359932718176402536482326715463111139636046635538681971601121542117973544864017979672661327221<117>

2475936160669858993170893704601601828362290927997<49>
82006806801902587456260542355117946832337256774550805332908486325593<68>

N=203043618381897570118000359932718176402536482326715463111139636046635538681971601121542117973544864017979672661327221
  ( 117 digits)
Divisors found:
 r1=2475936160669858993170893704601601828362290927997 (pp49)
 r2=82006806801902587456260542355117946832337256774550805332908486325593 (pp68)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.13 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 203043618381897570118000359932718176402536482326715463111139636046635538681971601121542117973544864017979672661327221
skew: 44570.09
c0: 283647315083206988475030025
c1: -71701658525988961358483
c2: 383416689569187758
c3: 1240410694109
c4: -2941161885
c5: 8976
Y0: -29575274470258611701964
Y1: 28555163946161
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2450000, 3550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 513968 x 514194
Total sieving time: 0.00 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.5,2.5,100000
total time: 0.13 hours.
 --------- CPU info (if available) ----------

2086524043072143979902847312034747216822646569358112312803893073465389895676872524495092617399129098221848887255698904259979013181160033298163791918458203259020187608121897194839<178>

120529140067355265281994694991203365562756053098077081958190122338094109903764179154359103699411923884532242898186412287553059528522967397499739870779967522917959796957593550185755272651714550267341<198>

143232829141978238270010488708513276952255347888682421714400301253028349086357295238393771990378968238639958401255067225200029684703256148086500435418157233<156>

95382068171183817442320843681387899074973904905877694993341251844653205197422884497714429687218802865061368462729006946694021523953496742612388870892272252816470503545333477306266421912680416081776625994313069143<212>

168971770958080927685577757088108986481104851905740244028559771960441877147293663853620160351264791740210434421188196472986421445701800374644338094121906887804652508402103776084153950955877165967276247123398269<210>

67936129951460113169390980946989919<35>
2487215139849886490403098203117030192772968755657281630856081561380906485302836805702010673498476606529972939553132307526333488579338986389739561118004863839048592660335519651<175>

GPU: factor 67936129951460113169390980946989919 found in Step 1 with curve 780 (-sigma 3:-518743970)
Computing 1792 Step 1 took 221ms of CPU time / 175305ms of GPU time
Throughput: 10.222 curves per second (on average 97.83ms per Step 1)
********** Factor found in step 1: 67936129951460113169390980946989919
Found prime factor of 35 digits: 67936129951460113169390980946989919
Prime cofactor 2487215139849886490403098203117030192772968755657281630856081561380906485302836805702010673498476606529972939553132307526333488579338986389739561118004863839048592660335519651 has 175 digits
Peak memory usage: 9428MB

1760696437182163622049399535611321985447958705193039230352735090916281343490469664743798394887475134518428281552623125272775581001545350455198957664338573088921201491202801899541067252236213171378531998417<205>

1078766705153365248673296151238461954710411322651650726212139309520724197865177825807355948007206108075513138828042557103769297033099488354057369250689286858618873596199081529060756559711913738726933<199>

183085069960434963392745897581972407771930745953187456554234750562545793556720816174590994840617854550544666563358827469293916790803498516744642060247762887442966034966588849792512468349862594433389457<201>

102885014893879620487656452443194938045733104842931914630900387425623326433938198269903803762145322705208888214902438251832029055843123431297002896303<150>

658959089266889384558555317589180072835802404166084609167303959<63>
156132628822742407414681514559841059061544921275411719919348384483726919987777104031017<87>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 102885014893879620487656452443194938045733104842931914630900387425623326433938198269903803762145322705208888214902438251832029055843123431297002896303 (150 digits)
Using B1=62230000, B2=388131795880, polynomial Dickson(30), sigma=1:21139044
Step 1 took 120811ms
Step 2 took 53394ms
********** Factor found in step 2: 658959089266889384558555317589180072835802404166084609167303959
Found prime factor of 63 digits: 658959089266889384558555317589180072835802404166084609167303959
Prime cofactor 156132628822742407414681514559841059061544921275411719919348384483726919987777104031017 has 87 digits

1732578069514904659280097584895985930988241722027028331836095288712587512235706366794352932049435268360026212579935516689418756582794201412253<142>

222509926048445051259806651584134110246209<42>
7786520360164455231073163003853664933635514356237423173762960080852284949500504908091540189719796317<100>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3502144574
Step 1 took 6016ms
Step 2 took 3422ms
********** Factor found in step 2: 222509926048445051259806651584134110246209
Found prime factor of 42 digits: 222509926048445051259806651584134110246209
Prime cofactor 7786520360164455231073163003853664933635514356237423173762960080852284949500504908091540189719796317 has 100 digits

GMP-ECM

2944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<229>

62259279502522946391514059698586021524905371351431357267053924187206729337994424187198502242853850023238046099419214711389114268181926462204995018748806942548808802896871303437543829489546517452568581693866872431<212>

181880796855247048856997039273745239665104151040579219984437743721946388633163112069751179370086246778740872417875440002376526899004307713273297634519044201757165098012627794136975346483411217157801<198>

1570376959090720965091038246238857728389<40>
115819832812982428537733387853270775934339093068049911464859221804303185189205742364852901848716428984883024479138728622688575274092409412049947440856154570709<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1560081016
Step 1 took 8844ms
Step 2 took 3859ms
********** Factor found in step 2: 1570376959090720965091038246238857728389
Found prime factor of 40 digits: 1570376959090720965091038246238857728389
Prime cofactor 115819832812982428537733387853270775934339093068049911464859221804303185189205742364852901848716428984883024479138728622688575274092409412049947440856154570709 has 159 digits
 

GMP-ECM

1072244544697339804945430463748942995101207585567105770921795515198584056219576146735594143035549184751350884478948562687025939601512336155966875449335021627941<160>

9904798340943616342856233771794123259795943798876456732119331696565401916517036726684576495620371994280966249661180604746528187215760844620923536655254850229447621699967377127262971089469<187>

345645205970857046584695384625014193110229913564014592278873073765221839116863988655030189784557360281260903920385086287625585135919647632520196106143105939671658549<165>

412759326498361236601675779545678252176245581675651541444369909410870411422715887910305975711001592681130583511222041905846501871275417911553433671306783832669667645345537821261829065758252949052270631149891275035956000657832439<228>

68622163020818313433505903413997037837331918793826717955967661405555677108722045821926604462166925634162315950642745472794168411189001982767441331682486584696151273147856114538382107993507<188>

1128139633886760323541932737335036185610898254576415495955725840783312047679863771817794806300553426990208599404001702852277564921243082162622392507449978714346530438484461472967220093656875266070668369518944231587909748829289059174116645381<241>

225261784593811952635058288624699088580376808797944895820538010796400333973468650360478562865965771218380219291036644850032932417510781664740646039116361362394351<162>

15488351997805248651634066561009947710827905704384095073537996156980173672526565890808675601080651379034917041700471863143980716853542560990497976131213775054406948151098354164018283035688960506792478647156900591979650081603<224>

35583856612106470312149220421349425182993874518963449242191318932091483977264918969975806160165750519853989938217510836080319075645238855197820055741849236554205224904107035386899566061849991851808236482713083544008132826131<224>

606767969218096109684657944807092964741133<42>

58644916042554385843799745396336531833445419195350925085972422540690193971101685528702671293168337913979631965628477938619134552089489781827307850468035160148254336061733429163445407<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3987502669
Step 1 took 9578ms
Step 2 took 4297ms
********** Factor found in step 2: 606767969218096109684657944807092964741133
Found prime factor of 42 digits: 606767969218096109684657944807092964741133
Composite cofactor 58644916042554385843799745396336531833445419195350925085972422540690193971101685528702671293168337913979631965628477938619134552089489781827307850468035160148254336061733429163445407 has 182 digits
 

GMP-ECM

46449667841054495100874656009535328039824017107500306743089516397609156719426478063487055441622408020893586440202625720846260363534381518290652223449194580287812658849099928134476170443988711854305796567983032725105607263676359748295384831116019<245>

2019585186465647565003170930751845526233875796014804307255062684662201326577867238897072544047358745722059201865230590349906346134349760628358532314824237251013948591626741757531325536135741609659326048397426870179632755118297<226>

10500408539196913618484250336190391473972579898827018381694232834466055989057987864245947653609020331180270130181647993790161412795178916124293819293508501227832582579878499812417135679301324846847678097954253745811728792294164642039309622626293<245>

184611771656898568655438156983579355653892690414684613836150090591066045633929930863856168518230350737432965835981023904284933868029831603726093015577125269709560618562220499029943036337932267006651561003459686059<213>

444039588751049329922324720769804814186033829663482503871386130730298470295866874759356526324060102479590638610252582125312860342220651844526143676356783886795900822781763661306031458853891194969214655100757565472378801758706976130639<234>

26416733343385655149171134452633394667<38>
16809027179063759308135937575517381099725559405104101829959106577979274014592626997044744379952063931628527879161524316544867812225802722185527391903600740647512049534792832661699240339176467663917<197>

Resuming ECM residue saved by @3dfe45c192d1 with GMP-ECM 7.0.5-dev on Thu Sep 22 11:23:48 2022 
Input number is 444039588751049329922324720769804814186033829663482503871386130730298470295866874759356526324060102479590638610252582125312860342220651844526143676356783886795900822781763661306031458853891194969214655100757565472378801758706976130639 (234 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:485555572
Step 1 took 0ms
Step 2 took 6189ms
********** Factor found in step 2: 26416733343385655149171134452633394667
Found prime factor of 38 digits: 26416733343385655149171134452633394667
Prime cofactor 16809027179063759308135937575517381099725559405104101829959106577979274014592626997044744379952063931628527879161524316544867812225802722185527391903600740647512049534792832661699240339176467663917 has 197 digits

84972472152721990158352262572575663434916601146127278224221051979484498299155650857847338557190646295426316948382218756455178919624435787159768257597869285961922413166162742236909314921398133660162393688973591849970757212384274739387313029<239>

633358159726500179688892641085936353446286267681326749573178261704628491540821463348522757827072400356773053406423659661251613511783272636884983325396181095268748078675877218025980319181786229791277748596483265676590719136551<225>

634527746875837224962224209544195896625103<42>
998156759645113033786911845076471176223569656058565513419616746271808589358760238452015137341855963261263880970685664186909763877721864811962444207754197580169799211281745418946616617<183>

Resuming ECM residue saved by @3dfe45c192d1 with GMP-ECM 7.0.5-dev on Thu Sep 22 12:30:36 2022 
Input number is 633358159726500179688892641085936353446286267681326749573178261704628491540821463348522757827072400356773053406423659661251613511783272636884983325396181095268748078675877218025980319181786229791277748596483265676590719136551 (225 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:370689026
Step 1 took 0ms
Step 2 took 5701ms
********** Factor found in step 2: 634527746875837224962224209544195896625103
Found prime factor of 42 digits: 634527746875837224962224209544195896625103
Prime cofactor 998156759645113033786911845076471176223569656058565513419616746271808589358760238452015137341855963261263880970685664186909763877721864811962444207754197580169799211281745418946616617 has 183 digits

29444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<257>

24132812428853736943237803823001757597282554253294356564580316731779726616215428607855458113633673014051671538762760793741860867506306404757351401069129124206576874390987988234115600724895045032738664408199692192807511224034459834804068883242721452704241<254>

41183072687298077549146297670438154962475483852811095233249400210894940851759840579051283333157489383349643617307450179317858720729404993788217279535515611300776255696479523464667193365530694702163062567358314926170476191803817293818737666184518562817<251>

1132771777343285886296893965595876357<37>

36356019377429783205958408490210071678023565649696496421650612293024164654468523207637952670891148326529759508120931458084930880806871519762794201696938110893301767905173698067299679070448627844866041115302014104781<215>

Resuming ECM residue saved by @3dfe45c192d1 with GMP-ECM 7.0.5-dev on Thu Sep 22 12:35:05 2022 
Input number is 41183072687298077549146297670438154962475483852811095233249400210894940851759840579051283333157489383349643617307450179317858720729404993788217279535515611300776255696479523464667193365530694702163062567358314926170476191803817293818737666184518562817 (251 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2561680652
Step 1 took 0ms
Step 2 took 6675ms
********** Factor found in step 2: 1132771777343285886296893965595876357
Found prime factor of 37 digits: 1132771777343285886296893965595876357
Composite cofactor 36356019377429783205958408490210071678023565649696496421650612293024164654468523207637952670891148326529759508120931458084930880806871519762794201696938110893301767905173698067299679070448627844866041115302014104781 has 215 digits

1757638973556390681164686995760777205354514895967711522100607032561670774880356463487375897421315973789911311845767482614220055117457988909829754095385242432446726095903337824030980046899177755714410933702488256302175100957317<226>

34333323579418743989989530720105023824066253188749832148997744805296276633501032132722136836521062830223371515028881981360140544910926341223506135930052069005417087044092640345962116702006108115791917928234435966145873158637433<227>

1226851694269707763531778486154057043456969606046385888456628342330159718765989973979265845910667543696782966459735042388888112934877102661986059576750897738822413779190199452239223040194244389331833581582077989198108888397<223>

31044422955551654778911746992638513625574355672907380893953171661159107349029854959195341287713810411577591367819853756975005978595701610146110451923722167124483591336228942551470136788671975963620625220498106643339580447<221>

3136317111815989505622570367623824492073147862427686735226085324607696732858225080981187221952913181167985085616782264806070802157601544450365574448374782367700942387547083664762164729623960194005238738411352653685840701104399037437057518174040438157939414567<259>

98148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<266>

117917786368458623306744524134146446628173790471704055875030984339694630604275916477238604702053825464519227129037366048773657151750238921337427410031276665011278039514245404563872106915481176292800110595326827577688643<219>

85479629333422702961152504880683500180998063612681242129531723282364979764648396290577071760839443565048271024725171204899850446009498489693375326529016422349753384363031534579971659146662741<191>

118079828768426137024523666184937772591113247867331987007340623117805081688041651144264025254062108424346578112836090847900791629279031063706551676853806525659400186746563328229511670070974465344714560233918404538354276930180400862011517481757480739673<252>

95195071732586128068511006165379907792041081677982258555044812509533686924606110904749764205176156501172812098470969860823182642522685976052933230075119176050424762929562396175982867885719813659549958099592673482714209622588490997485935713574497437<248>

1280784904595952628708701094728951356881213<43>
74325572850670956649465305644506605854250027249362634774713838646289963905382219794256653607811584081366662584770295017866387076821462411174042393347077209791917539193833873359250935545321175254892931086049<206>

Resuming ECM residue saved by @3dfe45c192d1 with GMP-ECM 7.0.5-dev on Thu Sep 22 11:01:29 2022 
Input number is 95195071732586128068511006165379907792041081677982258555044812509533686924606110904749764205176156501172812098470969860823182642522685976052933230075119176050424762929562396175982867885719813659549958099592673482714209622588490997485935713574497437 (248 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2265996093
Step 1 took 0ms
Step 2 took 3663ms
********** Factor found in step 2: 1280784904595952628708701094728951356881213
Found prime factor of 43 digits: 1280784904595952628708701094728951356881213
Prime cofactor 74325572850670956649465305644506605854250027249362634774713838646289963905382219794256653607811584081366662584770295017866387076821462411174042393347077209791917539193833873359250935545321175254892931086049 has 206 digits

14946418499717992103778905809362662154540327129159616469261139311900733220530174844895657078398195149464184997179921037789058093626621545403271291596164692611393119007332205301748448956570783981951494641849971799210377890580936266215454032712915961646926113931190073322053<272>

377115368568207935539266641503552982384522348449946613943762617873483058804008371635537518823612652990860620972250687787118371672830633514421845518429130088789997450639380310131820618209541692415759126552637809623552582344972799995516637625247<243>

3668391310978515643321820609527114984275234448488868800259040496765600003235706307816917902214426279235717589810809827831764463952393691999136240040229879040064576437403394912279417347032983945014677082456244008765137171569819492170058931792018889069117044848781<262>

10106036495680222177381075366104227557739987115429564431004055074142887000266066076199398957504561515225598079027070582512987937093077418457787581861042809837367719928505584217719367011583955643462968980009480976484669957430504860328483009091<242>

30338253857664895661542924784355613702760288725982969348378273055575351430694922307657467486131257125383411418491668846237812591107776317211025826763862823186428930595704824834051517190799143096025245660273476709645701031420549877659326915333<242>

508061556108289233112634557438573413575867746207553507241874349345119681336879211553803330290960263625174393683302135444731308618978692744767960466943063637963209693755419231321193503414940722955240485480040752121<213>

14058489937322520243932092824453602369<38>

36139127201669499832289077179305516319916607434808115558527959361082205526033675367915769438963834742833389502085570414468927560960556602071324305629880755321840151968766753209<176>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 508061556108289233112634557438573413575867746207553507241874349345119681336879211553803330290960263625174393683302135444731308618978692744767960466943063637963209693755419231321193503414940722955240485480040752121 (213 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3641455543
Step 1 took 10891ms
Step 2 took 4450ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4186410179
Step 1 took 10609ms
Step 2 took 4439ms
Run 3 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2978194580
Step 1 took 10149ms
Step 2 took 4423ms
Run 4 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1068964617
Step 1 took 10152ms
Step 2 took 4532ms
Run 5 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:148743048
Step 1 took 10152ms
Step 2 took 4421ms
** Factor found in step 2: 14058489937322520243932092824453602369
Found prime factor of 38 digits: 14058489937322520243932092824453602369
Composite cofactor 36139127201669499832289077179305516319916607434808115558527959361082205526033675367915769438963834742833389502085570414468927560960556602071324305629880755321840151968766753209 has 176 digits

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

36139127201669499832289077179305516319916607434808115558527959361082205526033675367915769438963834742833389502085570414468927560960556602071324305629880755321840151968766753209<176>

3774788630187182397500118207100572538869268847<46>
9573814785989076751941355903463752425263292090613242401165665340838498920803939302447656013435041301726116697691621445512378684247<130>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 36139127201669499832289077179305516319916607434808115558527959361082205526033675367915769438963834742833389502085570414468927560960556602071324305629880755321840151968766753209 (176 digits)
Using B1=52980000, B2=288594456166, polynomial Dickson(12), sigma=1:3728711106
Step 1 took 143839ms
Step 2 took 45337ms
********** Factor found in step 2: 3774788630187182397500118207100572538869268847
Found prime factor of 46 digits: 3774788630187182397500118207100572538869268847
Prime cofactor 9573814785989076751941355903463752425263292090613242401165665340838498920803939302447656013435041301726116697691621445512378684247 has 130 digits

31390015645467767051815410617730652831986146231539756544940599439865600675274622135477776767037952962793877202224555977034516826928870880142327166366556699582300989501428433498735615112671592044104113156846541805663629656916702554453590639209<242>

4469919084463373640547941629691595619638949055277216337095659989953554057032182197321827074486819729632789721605691590876032630630183934501829347630882011087501815830767732304366515485272875228260871102951408482345327458807234305176139<235>

14021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021<281>

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39648131577819155178644868355734912784866518525576498022309190446357271029329519096244116011729400747314386225939500721424545654869468162768683553776827316262106476443888775680418573532599737397069273795708869<209>

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21743120067750911759897000740549510868031072778624139708729546548029415420092590403187386377492842257163873084682449270193748150090569728639379188903210575507864016688493756756509156918818793542093844963006479500103639344000624240039694449829036505150858659009236908854740372857<278>

1605612491683854331309596372390035673200032080771403627860115259494476273127503600919866047934734723522728435305955804347872710320822200859618743333322813608946300795054782074425834131014990993693464749844658113782998208487106445891278190275546437637289876418141759204969867626371<280>

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1996149678262885845702056681430491734261180472990028937256193531747391334732467034181134364149004777847161502037044157243255773655864210143560415482651902653653303787591539486420368897229451512659248337634917567182974243481438051514595242384796255848542013537710524392671<271>