1419234360410830999066293183940242763772175536881419234360410830999066293183940242763772175536881419234360410831<112>

3110296115171107212962261376462381766474591<43>
456302007223114328566513491487582372113111493744343717817423803178641<69>

N=1419234360410830999066293183940242763772175536881419234360410830999066293183940242763772175536881419234360410831
  ( 112 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=3110296115171107212962261376462381766474591 (pp43)
 r2=456302007223114328566513491487582372113111493744343717817423803178641 (pp69)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1419234360410830999066293183940242763772175536881419234360410830999066293183940242763772175536881419234360410831
m: 10000000000000000000000000000
deg: 4
c4: 152
c0: 1
skew: 0.28
# Murphy_E = 8.858e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 540001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 50840 x 51065
Total sieving time: 0.00 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,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.02 hours.
 --------- CPU info (if available) ----------

3870145418167939358895134590672287543656895313330283047668224654812309404886211359335109017158748018141815877322501<115>

163750536972484710780327165895562893688438763305509<51>
23634398333718115773753720606385701205460720752826303918129025889<65>

N=3870145418167939358895134590672287543656895313330283047668224654812309404886211359335109017158748018141815877322501
  ( 115 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=163750536972484710780327165895562893688438763305509 (pp51)
 r2=23634398333718115773753720606385701205460720752826303918129025889 (pp65)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3870145418167939358895134590672287543656895313330283047668224654812309404886211359335109017158748018141815877322501
m: 1000000000000000000000000000000
deg: 4
c4: 76
c0: 5
skew: 0.51
# Murphy_E = 3.599e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65714 x 65940
Total sieving time: 0.00 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,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

500859225803711644816161643686732121952226310531048649976468294045006444354701487680969983334107483266347<105>

2504505389032291788019562090759705951510101<43>
199983289314157601451331558610628785744471527838587305733131647<63>

N=500859225803711644816161643686732121952226310531048649976468294045006444354701487680969983334107483266347
  ( 105 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=2504505389032291788019562090759705951510101 (pp43)
 r2=199983289314157601451331558610628785744471527838587305733131647 (pp63)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 500859225803711644816161643686732121952226310531048649976468294045006444354701487680969983334107483266347
m: 100000000000000000000000000000000
deg: 4
c4: 152
c0: 1
skew: 0.28
# Murphy_E = 1.531e-08
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 1015001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 107068 x 107293
Total sieving time: 0.00 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,130.000,4,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,100000
total time: 0.02 hours.
 --------- CPU info (if available) ----------

368910271982341122709018315622118920691292194317661197588701390698018680491816731761127858414583287027264551<108>

9272229761654922488626983057633960047105871787061659<52>
39786575771446093212361329445234917553159921471045529189<56>

N=368910271982341122709018315622118920691292194317661197588701390698018680491816731761127858414583287027264551
  ( 108 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=9272229761654922488626983057633960047105871787061659 (pp52)
 r2=39786575771446093212361329445234917553159921471045529189 (pp56)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.04 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 368910271982341122709018315622118920691292194317661197588701390698018680491816731761127858414583287027264551
m: 2000000000000000000000000000000000
deg: 4
c4: 95
c0: 1
skew: 0.32
# Murphy_E = 8.943e-09
type: snfs
lss: 1
rlim: 1250000
alim: 1250000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1250000/1250000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [625000, 1325001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156265 x 156491
Total sieving time: 0.00 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,135.000,4,0,0,0,0,0,0,0,0,1250000,1250000,26,26,47,47,2.3,2.3,100000
total time: 0.04 hours.
 --------- CPU info (if available) ----------

28155515508039418462645873818463979556132002688851731017764463182680949663310047610606256785340312196506233946030692846109546812897523<134>

7814272198461367849513917943185175441661558484047436841709803<61>
3603088655343135667683612094169058129998100863763870054454551453999945241<73>

Number: n
N=28155515508039418462645873818463979556132002688851731017764463182680949663310047610606256785340312196506233946030692846109546812897523  ( 134 digits)
SNFS difficulty: 140 digits.
Divisors found:

Sat Dec 24 13:49:10 2022  p61 factor: 7814272198461367849513917943185175441661558484047436841709803
Sat Dec 24 13:49:10 2022  p73 factor: 3603088655343135667683612094169058129998100863763870054454551453999945241
Sat Dec 24 13:49:10 2022  elapsed time 00:03:13 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.270).
Factorization parameters were as follows:
#
# N = 76x10^139+5 = 84(138)5
#
n: 28155515508039418462645873818463979556132002688851731017764463182680949663310047610606256785340312196506233946030692846109546812897523
m: 20000000000000000000000000000000000
deg: 4
c4: 950
c0: 1
skew: 0.18
# Murphy_E = 4.154e-09
type: snfs
lss: 1
rlim: 1520000
alim: 1520000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1520000/1520000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6360000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 449520 hash collisions in 6556220 relations (6833028 unique)
Msieve: matrix is 216921 x 217146 (72.3 MB)

Sieving start time : 2022/12/24 13:28:53
Sieving end time  : 2022/12/24 13:45:44

Total sieving time: 0hrs 16min 51secs.

Total relation processing time: 0hrs 1min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 29sec.

Prototype def-par.txt line would be:
snfs,140,4,0,0,0,0,0,0,0,0,1520000,1520000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

15706625953809405694473103488975241248362575198122262034877706224024664492096452868519957815711221848049107997<110>

317759831325386631596120461848196223606187973202629<51>
49429236817934337408174507682820312316844327536818163081593<59>

317759831325386631596120461848196223606187973202629

GGNFS snfs

22687229788022673159095610565145156299333075444271940221853076841154374235010265293487511161646617348105712867524883432232729<125>

447697958056485147635348594023020111611635706580572879797433<60>
50675303247999784653175216409486867829909346291790305559095311713<65>

NFS elapsed time = 9476.4385 seconds.
pretesting / nfs ratio was 0.07
Total factoring time = 10171.3761 seconds


***factors found***

P60 = 447697958056485147635348594023020111611635706580572879797433
P65 = 50675303247999784653175216409486867829909346291790305559095311713

yafu

67801249731529809392536335975483367339656351484154212794220980316900311565567102134936260087978548127101328162979421988121644774939<131>

46730726387751224613828235084708937<35>

1450892270942774451048273178010091052656443326609929017117045784446174770158947881992243810727747<97>

p35:46730726387751224613828235084708937
c97:1450892270942774451048273178010091052656443326609929017117045784446174770158947881992243810727747

ECM

1450892270942774451048273178010091052656443326609929017117045784446174770158947881992243810727747<97>

261581417303844478072462736313032342413949<42>
5546618280064845411686065145400827995536045393185959103<55>

12/24/22 17:54:44, starting SIQS on c97: 1450892270942774451048273178010091052656443326609929017117045784446174770158947881992243810727747
12/24/22 17:54:44, random seed: 5133571008885060133
12/24/22 17:54:44, ==== sieve params ====
12/24/22 17:54:44, n = 97 digits, 322 bits
12/24/22 17:54:44, factor base: 99776 primes (max prime = 2738287)
12/24/22 17:54:44, single large prime cutoff: 355977310 (130 * pmax)
12/24/22 17:54:44, double large prime range from 7498215694369 to 6608932044209326
12/24/22 17:54:44, DLP MFB = 1.85
12/24/22 17:54:44, allocating 8 large prime slices of factor base
12/24/22 17:54:44, buckets hold 2048 elements
12/24/22 17:54:44, large prime hashtables have 1310720 bytes
12/24/22 17:54:44, using AVX2 enabled 32k sieve core
12/24/22 17:54:44, sieve interval: 10 blocks of size 32768
12/24/22 17:54:44, polynomial A has ~ 12 factors
12/24/22 17:54:44, using multiplier of 3
12/24/22 17:54:44, using multiplier of 3
12/24/22 17:54:44, using Q2(x) polynomials for kN mod 8 = 1
12/24/22 17:54:44, using SPV correction of 20 bits, starting at offset 32
12/24/22 17:54:44, trial factoring cutoff at 96 bits
12/24/22 17:54:44, ==== sieving started (46 threads) ====
12/24/22 17:56:00, trial division touched 162397645 sieve locations out of 1225992437760
12/24/22 17:56:00, total reports = 162397645, total surviving reports = 36730812
12/24/22 17:56:00, total blocks sieved = 37415220, avg surviving reports per block = 0.98
12/24/22 17:56:00, dlp-ecm: 4 failures, 1556229 attempts, 28120968 outside range, 6670954 prp, 1249535 useful
12/24/22 17:56:00, 102800 relations found: 26511 full + 76289 from 1605685 partial, using 1870716 polys (1822 A polys)
12/24/22 17:56:00, on average, sieving found 0.87 rels/poly and 21560.31 rels/sec
12/24/22 17:56:00, trial division touched 162397645 sieve locations out of 1225992437760
12/24/22 17:56:00, ==== post processing stage (msieve-1.38) ====
12/24/22 17:56:00, QS elapsed time = 75.7057 seconds.
12/24/22 17:56:00, begin singleton removal with 1632196 relations
12/24/22 17:56:01, reduce to 264493 relations in 10 passes
12/24/22 17:56:01, failed to read relation 42666
12/24/22 17:56:02, recovered 264492 relations
12/24/22 17:56:02, recovered 246633 polynomials
12/24/22 17:56:02, attempting to build 102799 cycles
12/24/22 17:56:02, found 102799 cycles from 264492 relations in 6 passes
12/24/22 17:56:02, distribution of cycle lengths:
12/24/22 17:56:02,    length 1 : 26510
12/24/22 17:56:02,    length 2 : 18421
12/24/22 17:56:02,    length 3 : 17283
12/24/22 17:56:02,    length 4 : 13598
12/24/22 17:56:02,    length 5 : 10104
12/24/22 17:56:02,    length 6 : 6820
12/24/22 17:56:02,    length 7 : 4260
12/24/22 17:56:02,    length 9+: 5803
12/24/22 17:56:02, largest cycle: 19 relations
12/24/22 17:56:03, matrix is 99776 x 102799 (29.6 MB) with weight 6941605 (67.53/col)
12/24/22 17:56:03, sparse part has weight 6941605 (67.53/col)
12/24/22 17:56:03, filtering completed in 3 passes
12/24/22 17:56:03, matrix is 93201 x 93265 (26.1 MB) with weight 6097189 (65.37/col)
12/24/22 17:56:03, sparse part has weight 6097189 (65.37/col)
12/24/22 17:56:03, saving the first 48 matrix rows for later
12/24/22 17:56:03, matrix is 93153 x 93265 (23.0 MB) with weight 5430067 (58.22/col)
12/24/22 17:56:03, sparse part has weight 5088274 (54.56/col)
12/24/22 17:56:03, matrix includes 64 packed rows
12/24/22 17:56:03, using block size 37306 for processor cache size 131072 kB
12/24/22 17:56:04, commencing Lanczos iteration
12/24/22 17:56:04, memory use: 17.9 MB
12/24/22 17:56:18, lanczos halted after 1475 iterations (dim = 93151)
12/24/22 17:56:18, recovered 16 nontrivial dependencies
12/24/22 17:56:18, prp55 = 5546618280064845411686065145400827995536045393185959103
12/24/22 17:56:18, prp42 = 261581417303844478072462736313032342413949
12/24/22 17:56:18, Lanczos elapsed time = 17.9690 seconds.
12/24/22 17:56:18, Sqrt elapsed time = 0.1070 seconds.
12/24/22 17:56:18, SIQS elapsed time = 93.7823 seconds.
12/24/22 17:56:18, 
12/24/22 17:56:18, 

Yafu

62783973564642709624122263527467988434531185460553490293267244940107393638992152003304419661296984717059066501445683601817430813713341594382486575795125981<155>

1607638541741426063075424079995795768688391532960499541<55>
39053538425766938850678553801543697789943059590964894387799763401244817316430929693081684499411732841<101>

Number: n
N=62783973564642709624122263527467988434531185460553490293267244940107393638992152003304419661296984717059066501445683601817430813713341594382486575795125981  ( 155 digits)
SNFS difficulty: 158 digits.
Divisors found:

Tue Dec 27 09:03:15 2022  p55 factor: 1607638541741426063075424079995795768688391532960499541
Tue Dec 27 09:03:15 2022  p101 factor: 39053538425766938850678553801543697789943059590964894387799763401244817316430929693081684499411732841
Tue Dec 27 09:03:15 2022  elapsed time 00:05:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 76x10^157+5 = 84(156)5
#
n: 62783973564642709624122263527467988434531185460553490293267244940107393638992152003304419661296984717059066501445683601817430813713341594382486575795125981
m: 10000000000000000000000000000000
deg: 5
c5: 1520
c0: 1
skew: 0.23
# Murphy_E = 8.647e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1278570 hash collisions in 13943772 relations (13567438 unique)
Msieve: matrix is 362500 x 362727 (121.6 MB)

Sieving start time : 2022/12/27 08:33:57
Sieving end time  : 2022/12/27 08:57:14

Total sieving time: 0hrs 23min 17secs.

Total relation processing time: 0hrs 2min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

37949159891079044528066234064291786006398711516613640626118203835488269182879304262592748946156746655176817942930465734220652871<128>

889591463438917747728798892687392662657266756039<48>
42659087289774513061702091753757016731620234772124079175956642701374801837378689<80>

n: 37949159891079044528066234064291786006398711516613640626118203835488269182879304262592748946156746655176817942930465734220652871
skew: 279707.32
c0: 4478943779198656872667650681440
c1: -266585876612894681969983630
c2: 2424983566456695447343
c3: 11343981562265530
c4: -11196952788
c5: 10440
Y0: -5153481832683646348666173
Y1: 23008655777569
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5

nfs: commencing nfs on c128: 37949159891079044528066234064291786006398711516613640626118203835488269182879304262592748946156746655176817942930465734220652871
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 7058 seconds
nfs: completed 57 ranges of size 250 in -10899.6192 seconds
nfs: best poly = # norm 3.333105e-012 alpha -7.494169 e 1.077e-010 rroots 3
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp80 = 42659087289774513061702091753757016731620234772124079175956642701374801837378689
prp48 = 889591463438917747728798892687392662657266756039
NFS elapsed time = 52224.3219 seconds.

YAFU 3.15 r373 x34

Windows 10 v22H2, Intel Xeon E5-1620

6052773723601917323372338946740873609144512907456579395570515887523101525743208438706907088728404660685648059835285790963702477130190517<136>

168726255791481047280794140074904445490531080992165924373197<60>
35873336341216436686573655978393269458525971980013635525241232309256814791561<77>

p60 factor: 168726255791481047280794140074904445490531080992165924373197
p77 factor: 35873336341216436686573655978393269458525971980013635525241232309256814791561

GGNFS snfs

4849557453056930438777465593139955891230552197021681429773638786902326274827374794914769177712103079891875168697717<115>

21806593827879334024567108401429356387373151<44>
222389497935108936742279590506510008087633971074632034718751439316906667<72>

4849557453056930438777465593139955891230552197021681429773638786902326274827374794914769177712103079891875168697717=21806593827879334024567108401429356387373151*222389497935108936742279590506510008087633971074632034718751439316906667

cado polynomial
n: 4849557453056930438777465593139955891230552197021681429773638786902326274827374794914769177712103079891875168697717
skew: 3370.099
c0: 238630245209789477379306
c1: 95867106749979489371
c2: 97391129432276982
c3: 56503698933853
c4: -11206345392
c5: 492480
Y0: -11891783790054205401975
Y1: 3255709453758503
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.117e-06
# f(x) = 492480*x^5-11206345392*x^4+56503698933853*x^3+97391129432276982*x^2+95867106749979489371*x+238630245209789477379306
# g(x) = 3255709453758503*x-11891783790054205401975

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

cado log (extracts)
Info:Square Root: Factors: 21806593827879334024567108401429356387373151 222389497935108936742279590506510008087633971074632034718751439316906667
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21759/33.470/40.919/47.120/1.103
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17007/32.460/36.208/41.740/0.830
Info:Polynomial Selection (size optimized): Total time: 2272.05
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 394.5
Info:Polynomial Selection (root optimized): Rootsieve time: 372.05
Info:Generate Factor Base: Total cpu/real time for makefb: 4.4/0.710538
Info:Generate Free Relations: Total cpu/real time for freerel: 64.63/8.14512
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7116240
Info:Lattice Sieving: Average J: 1899.91 for 144933 special-q, max bucket fill -bkmult 1.0,1s:1.157150
Info:Lattice Sieving: Total time: 27478.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.08/29.4183
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 139.92/119.8
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 104.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 109.65/84.1303
Info:Filtering - Merging: Merged matrix has 445593 rows and total weight 69480198 (155.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.06/11.8312
Info:Filtering - Merging: Total cpu/real time for replay: 13.77/11.1063
Info:Linear Algebra: Total cpu/real time for bwc: 1829.22/481.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 289.63, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13952 iterations)
Info:Linear Algebra: Lingen CPU time 44.99, WCT time 12.24
Info:Linear Algebra: Mksol: WCT time 171.04, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 20.33/4.95921
Info:Square Root: Total cpu/real time for sqrt: 721.6/96.4076
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 71624.8/8038.32
Info:root: Cleaning up computation data in /tmp/cado.3n1tw09w
21806593827879334024567108401429356387373151 222389497935108936742279590506510008087633971074632034718751439316906667

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)

19990952507399589924227101854691310161011016236215949557454445701071276702124373088727099320310503181088857495525339292189<122>

18366187442650889053972033508629199227<38>
2005369085340665697831588602359900561879<40>
542775404233594513464921349371641102232329233<45>

Number: n
N=19990952507399589924227101854691310161011016236215949557454445701071276702124373088727099320310503181088857495525339292189  ( 122 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sun Feb  5 07:33:55 2023  prp38 factor: 18366187442650889053972033508629199227
Sun Feb  5 07:33:55 2023  prp40 factor: 2005369085340665697831588602359900561879
Sun Feb  5 07:33:55 2023  prp45 factor: 542775404233594513464921349371641102232329233
Sun Feb  5 07:33:55 2023  elapsed time 00:24:43 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 76x10^168+5 = 84(167)5
#
n: 19990952507399589924227101854691310161011016236215949557454445701071276702124373088727099320310503181088857495525339292189
m: 2000000000000000000000000000000000
deg: 5
c5: 475
c0: 1
skew: 0.29
# Murphy_E = 2.747e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 20700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1090865 hash collisions in 12601361 relations (12326336 unique)
Msieve: matrix is 815288 x 815514 (230.3 MB)

Sieving start time: 2023/02/05 04:41:34
Sieving end time  : 2023/02/05 07:08:59

Total sieving time: 2hrs 27min 25secs.

Total relation processing time: 0hrs 18min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 44sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

30289841061675774490784539012082642907289995492913987023750488916427396777726360134981229002059916060624263633959668497223621841660928382237167<143>

25223026348991232084745658244292399098169519445017733<53>
1200880522526480421012727573000787849335649717480559470353271823587571496340989518008195299<91>

Number: n
N=30289841061675774490784539012082642907289995492913987023750488916427396777726360134981229002059916060624263633959668497223621841660928382237167  ( 143 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue Jan  3 18:09:46 2023  p53 factor: 25223026348991232084745658244292399098169519445017733
Tue Jan  3 18:09:46 2023  p91 factor: 1200880522526480421012727573000787849335649717480559470353271823587571496340989518008195299
Tue Jan  3 18:09:46 2023  elapsed time 00:12:36 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 76x10^169+5 = 84(168)5
#
n: 30289841061675774490784539012082642907289995492913987023750488916427396777726360134981229002059916060624263633959668497223621841660928382237167
m: 2000000000000000000000000000000000
deg: 5
c5: 4750
c0: 1
skew: 0.18
# Murphy_E = 2.038e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2029607 hash collisions in 15305125 relations (14118474 unique)
Msieve: matrix is 675187 x 675412 (231.2 MB)

Sieving start time : 2023/01/03 16:54:03
Sieving end time  : 2023/01/03 17:56:49

Total sieving time: 1hrs 2min 46secs.

Total relation processing time: 0hrs 6min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 24sec.

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

8423943324021863649080089771652483197549003272295954348017249455049922402044542293929794885266274195773448777829892343<118>

7450634125764907357122396935118341385570689479<46>
1130634410686088154963662953690255466216592342709926521973654775957972817<73>

8423943324021863649080089771652483197549003272295954348017249455049922402044542293929794885266274195773448777829892343=7450634125764907357122396935118341385570689479*1130634410686088154963662953690255466216592342709926521973654775957972817

cado polynomial
n: 8423943324021863649080089771652483197549003272295954348017249455049922402044542293929794885266274195773448777829892343
skew: 24328.279
c0: -130148386284829813221508824
c1: -5156140146411246822938
c2: 292800566129568549
c3: 26846309306180
c4: -179883102
c5: 14580
Y0: -70522250408294999449715
Y1: 39407935651200389
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.742e-06
# f(x) = 14580*x^5-179883102*x^4+26846309306180*x^3+292800566129568549*x^2-5156140146411246822938*x-130148386284829813221508824
# g(x) = 39407935651200389*x-70522250408294999449715

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

cado log (extracts)
Info:Square Root: Factors: 1130634410686088154963662953690255466216592342709926521973654775957972817 7450634125764907357122396935118341385570689479
Info:Square Root: Total cpu/real time for sqrt: 182.49/31.9883
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20267/34.580/42.089/47.450/1.043
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15840/31.870/37.239/42.580/0.811
Info:Polynomial Selection (size optimized): Total time: 3129.32
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1152.02
Info:Polynomial Selection (root optimized): Rootsieve time: 1104.1
Info:Generate Factor Base: Total cpu/real time for makefb: 9.47/1.42478
Info:Generate Free Relations: Total cpu/real time for freerel: 132.81/16.7064
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13431665
Info:Lattice Sieving: Average J: 1888.08 for 214029 special-q, max bucket fill -bkmult 1.0,1s:1.247860
Info:Lattice Sieving: Total time: 43855.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.81/64.2808
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 64.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 147.54/102.553
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 98.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.11/62.0552
Info:Filtering - Merging: Merged matrix has 598214 rows and total weight 60473279 (101.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.92/7.71383
Info:Filtering - Merging: Total cpu/real time for replay: 13.33/10.8029
Info:Linear Algebra: Total cpu/real time for bwc: 2338.72/617.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 365.48, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18944 iterations)
Info:Linear Algebra: Lingen CPU time 58.31, WCT time 15.84
Info:Linear Algebra: Mksol: WCT time 224.3, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 20.01/5.11115
Info:Square Root: Total cpu/real time for sqrt: 182.49/31.9883
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 108944/12593.3
Info:root: Cleaning up computation data in /tmp/cado.nkvyftcy
1130634410686088154963662953690255466216592342709926521973654775957972817 7450634125764907357122396935118341385570689479

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)

40307610713338636966321930522407849376823123839830283744364889949615486608326703792097586846990188278971095200212145319543887562980641739591620259878016441262264651286131<170>

19406639291201589213204812278466083859081633<44>
2077001077235095808085247521050104867471759697048105933983962820033754013938254496753432403914867390154785558129529608455765907<127>

Number: n
N=40307610713338636966321930522407849376823123839830283744364889949615486608326703792097586846990188278971095200212145319543887562980641739591620259878016441262264651286131  ( 170 digits)
SNFS difficulty: 173 digits.
Divisors found:

Fri Dec 30 22:44:45 2022  p44 factor: 19406639291201589213204812278466083859081633
Fri Dec 30 22:44:45 2022  p127 factor: 2077001077235095808085247521050104867471759697048105933983962820033754013938254496753432403914867390154785558129529608455765907
Fri Dec 30 22:44:45 2022  elapsed time 00:11:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 76x10^172+5 = 84(171)5
#
n: 40307610713338636966321930522407849376823123839830283744364889949615486608326703792097586846990188278971095200212145319543887562980641739591620259878016441262264651286131
m: 10000000000000000000000000000000000
deg: 5
c5: 1520
c0: 1
skew: 0.23
# Murphy_E = 2.231e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1229362 hash collisions in 12324657 relations (11849919 unique)
Msieve: matrix is 731845 x 732071 (255.1 MB)

Sieving start time : 2022/12/30 21:51:31
Sieving end time  : 2022/12/30 22:32:42

Total sieving time: 0hrs 41min 11secs.

Total relation processing time: 0hrs 7min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 55sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5088284861373588560258222252314969188959187458805647449320533025840356306013198768043304298826040775751532859348013842797870247745000173158705699<145>

81087923540779842166376203732256526338267656839181225590246339856972799<71>
62750217778294009259636035788184477266114918475448210064994543408997147101<74>

Number: n
N=5088284861373588560258222252314969188959187458805647449320533025840356306013198768043304298826040775751532859348013842797870247745000173158705699  ( 145 digits)
SNFS difficulty: 176 digits.
Divisors found:

Tue Jan  3 16:22:49 2023  p71 factor: 81087923540779842166376203732256526338267656839181225590246339856972799
Tue Jan  3 16:22:49 2023  p74 factor: 62750217778294009259636035788184477266114918475448210064994543408997147101
Tue Jan  3 16:22:49 2023  elapsed time 00:18:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 6x10^175+5 = 84(174)5
#
n: 5088284861373588560258222252314969188959187458805647449320533025840356306013198768043304298826040775751532859348013842797870247745000173158705699
m: 100000000000000000000000000000000000
deg: 5
c5: 76
c0: 5
skew: 0.58
# Murphy_E = 1.33e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
Sieved  special-q in [100000, 15650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1559444 hash collisions in 12251344 relations (11355649 unique)
Msieve: matrix is 950192 x 950417 (331.3 MB)

Sieving start time : 2023/01/03 14:53:24
Sieving end time  : 2023/01/03 16:04:13

Total sieving time: 1hrs 10min 49secs.

Total relation processing time: 0hrs 13min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 6sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

56741481214088753994203867570520724463002472357107897135908036503599181703874385678009965335345954571150349048563481128684803652743056003689<140>

2930661912923269650232417661741762190154062434329528376274901532171<67>
19361319353787348585296140940635249765605772811574701748192727043366493659<74>

Number: n
N=56741481214088753994203867570520724463002472357107897135908036503599181703874385678009965335345954571150349048563481128684803652743056003689  ( 140 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Jan  4 11:39:57 2023  p67 factor: 2930661912923269650232417661741762190154062434329528376274901532171
Wed Jan  4 11:39:57 2023  p74 factor: 19361319353787348585296140940635249765605772811574701748192727043366493659
Wed Jan  4 11:39:57 2023  elapsed time 00:15:05 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 76x10^176+5 = 84(175)5
#
n: 56741481214088753994203867570520724463002472357107897135908036503599181703874385678009965335345954571150349048563481128684803652743056003689
m: 100000000000000000000000000000000000
deg: 5
c5: 152
c0: 1
skew: 0.37
# Murphy_E = 1.434e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3256088 hash collisions in 21456309 relations (18847396 unique)
Msieve: matrix is 769914 x 770141 (257.9 MB)

Sieving start time : 2023/01/04 09:22:05
Sieving end time  : 2023/01/04 11:24:25

Total sieving time: 2hrs 2min 20secs.

Total relation processing time: 0hrs 8min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

39732121969989228408973093925221023742762921491711759739529401387651631811463822151886603195621222321341069455368189175781600523332290116821744666065279<152>

12043079431132042666691670967108739169913<41>
3299166313499472732247836836620625385384761505333864598832033429936986783463083995457971866482300769478905862583<112>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 39732121969989228408973093925221023742762921491711759739529401387651631811463822151886603195621222321341069455368189175781600523332290116821744666065279 (152 digits)
Using B1=26030000, B2=96191014936, polynomial Dickson(12), sigma=1:495887024
Step 1 took 52325ms
********** Factor found in step 1: 12043079431132042666691670967108739169913
Found prime factor of 41 digits: 12043079431132042666691670967108739169913
Prime cofactor 3299166313499472732247836836620625385384761505333864598832033429936986783463083995457971866482300769478905862583 has 112 digits

8258920329115165245955611220665865179810115134231567555103542130415253393606049395968657599808176933580367881047172743575285972993460090812133979<145>

270317261491074388517832705297306853932099393260139924181015462428438569<72>
30552693096840457279757933060417282800272718957543293858310962410209201891<74>

Number: n
N=8258920329115165245955611220665865179810115134231567555103542130415253393606049395968657599808176933580367881047172743575285972993460090812133979  ( 145 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat Jan  7 04:22:07 2023  prp72 factor: 270317261491074388517832705297306853932099393260139924181015462428438569
Sat Jan  7 04:22:07 2023  prp74 factor: 30552693096840457279757933060417282800272718957543293858310962410209201891
Sat Jan  7 04:22:07 2023  elapsed time 00:57:30 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.111).
Factorization parameters were as follows:
#
# N = 76x10^178+5 = 84(177)5
#
n: 8258920329115165245955611220665865179810115134231567555103542130415253393606049395968657599808176933580367881047172743575285972993460090812133979
m: 200000000000000000000000000000000000
deg: 5
c5: 475
c0: 1
skew: 0.29
# Murphy_E = 1.095e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 43250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1145683 hash collisions in 11705516 relations (11276360 unique)
Msieve: matrix is 1373108 x 1373333 (388.8 MB)

Sieving start time: 2023/01/06 22:10:19
Sieving end time  : 2023/01/07 03:24:26

Total sieving time: 5hrs 14min 7secs.

Total relation processing time: 0hrs 53min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 37sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

150418375829999601885079343357432893784358738319681851770339293615824275155916295917532734967128391700773855381750561881586303755725643372429736409326315559<156>

2370203357866445375742842050312018286083922165253726714064908649<64>
63462223750032876011366561165325953069168848819707404334929800567806924003490779064015096591<92>

Number: n
N=150418375829999601885079343357432893784358738319681851770339293615824275155916295917532734967128391700773855381750561881586303755725643372429736409326315559  ( 156 digits)
SNFS difficulty: 180 digits.
Divisors found:

Fri Jan  6 01:23:05 2023  prp64 factor: 2370203357866445375742842050312018286083922165253726714064908649
Fri Jan  6 01:23:05 2023  prp92 factor: 63462223750032876011366561165325953069168848819707404334929800567806924003490779064015096591
Fri Jan  6 01:23:05 2023  elapsed time 00:52:28 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.107).
Factorization parameters were as follows:
#
# N = 76x10^179+5 = 84(178)5
#
n: 150418375829999601885079343357432893784358738319681851770339293615824275155916295917532734967128391700773855381750561881586303755725643372429736409326315559
m: 200000000000000000000000000000000000
deg: 5
c5: 4750
c0: 1
skew: 0.18
# Murphy_E = 8.118e-11
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 21677987)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1098290 hash collisions in 12435222 relations (12134819 unique)
Msieve: matrix is 1156414 x 1156639 (326.4 MB)

Sieving start time: 2023/01/05 15:50:58
Sieving end time  : 2023/01/06 00:30:24

Total sieving time: 8hrs 39min 26secs.

Total relation processing time: 0hrs 39min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 38sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

42126932695951961333067937446764378307057598198695557037369494905478051456817245094166229436990738188297183621983795192998417027477941377989641321957<149>

13857293048445826332122285318535803738784978624768581<53>
3040054976731312954863456731261412651322541095800992780823864963044450068360226815896749621841697<97>

Number: 84445_181
N = 42126932695951961333067937446764378307057598198695557037369494905478051456817245094166229436990738188297183621983795192998417027477941377989641321957 (149 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=13857293048445826332122285318535803738784978624768581 (pp53)
r2=3040054976731312954863456731261412651322541095800992780823864963044450068360226815896749621841697 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 7.74 hours.
Factorization parameters were as follows:
n: 42126932695951961333067937446764378307057598198695557037369494905478051456817245094166229436990738188297183621983795192998417027477941377989641321957 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 152
c0: 1
skew: 1.00
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 29
lpba: 25
mfbr: 58
mfba: 50
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 10000000
maxb: 10000000
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 29/25
Total raw relations: 16072821
Relations: 4470568 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 2.12 hours.
Total relation processing time: 0.23 hours.
Pruned matrix : 3415387 x 3415635
Matrix solve time: 5.21 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,183,3,0,0,0,0,0,0,0,0,5000000,5000000,29,25,58,50,2.8,2.8,100000
total time: 7.74 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_Factory, Msieve

10358397877173473450851795845379384977883063744984739618972410462138074670492373751184708410047045906141918376824707623821987973285365698365237719<146>

29256003097741687190778999020234011222976522688771794684159<59>
354060595446582141932751815652733454142238080302989292594107495102167392634872010540841<87>

10358397877173473450851795845379384977883063744984739618972410462138074670492373751184708410047045906141918376824707623821987973285365698365237719=29256003097741687190778999020234011222976522688771794684159*354060595446582141932751815652733454142238080302989292594107495102167392634872010540841

cado polynomial
n: 10358397877173473450851795845379384977883063744984739618972410462138074670492373751184708410047045906141918376824707623821987973285365698365237719
skew: 0.23
type: snfs
c0: 1
c5: 1520
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 1520*x^5+1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7900000
tasks.lim1 = 7900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 29256003097741687190778999020234011222976522688771794684159 354060595446582141932751815652733454142238080302989292594107495102167392634872010540841
Info:Square Root: Total cpu/real time for sqrt: 278.72/90.9705
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22412439
Info:Lattice Sieving: Average J: 1894.46 for 950043 special-q, max bucket fill -bkmult 1.0,1s:1.168300
Info:Lattice Sieving: Total time: 160912s
Info:Linear Algebra: Total cpu/real time for bwc: 18381.3/4718.61
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 11645.58, WCT time 2978.47, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (34048 iterations)
Info:Linear Algebra: Lingen CPU time 216.56, WCT time 54.83
Info:Linear Algebra: Mksol: CPU time 6339.66,  WCT time 1619.88, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17152 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.4/1.94722
Info:Generate Free Relations: Total cpu/real time for freerel: 118.82/30.868
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 234.36/237.584
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 222.6s
Info:Square Root: Total cpu/real time for sqrt: 278.72/90.9705
Info:Quadratic Characters: Total cpu/real time for characters: 35.94/15.998
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.35/91.0835
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 91.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 125.15/113.017
Info:Filtering - Merging: Merged matrix has 1084658 rows and total weight 185240177 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 262.4/71.8642
Info:Filtering - Merging: Total cpu/real time for replay: 36.65/31.896
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 327261/59516.6
Info:root: Cleaning up computation data in /tmp/cado.k4kss8_w
29256003097741687190778999020234011222976522688771794684159 354060595446582141932751815652733454142238080302989292594107495102167392634872010540841

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)

510927042800935887983202472613692246495565446552686777279704748824105196334476393466759933867138147754455243073488577051375445961690026683426792773057<150>

213129705576126883088541801219773229503896242710173674254769969156194088061<75>
2397258708821516456905901450454531790865963982424040028766573127627970706837<76>

Number: n
N=510927042800935887983202472613692246495565446552686777279704748824105196334476393466759933867138147754455243073488577051375445961690026683426792773057  ( 150 digits)
SNFS difficulty: 184 digits.
Divisors found:

Wed Apr 12 21:04:26 2023  prp75 factor: 213129705576126883088541801219773229503896242710173674254769969156194088061
Wed Apr 12 21:04:26 2023  prp76 factor: 2397258708821516456905901450454531790865963982424040028766573127627970706837
Wed Apr 12 21:04:26 2023  elapsed time 00:48:08 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.027).
Factorization parameters were as follows:
#
# N = 76x10^183+5 = 84(182)5
#
n: 510927042800935887983202472613692246495565446552686777279704748824105196334476393466759933867138147754455243073488577051375445961690026683426792773057
m: 2000000000000000000000000000000000000
deg: 5
c5: 475
c0: 1
skew: 0.29
# Murphy_E = 6.868e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 15300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1441193 hash collisions in 13986035 relations (13414372 unique)
Msieve: matrix is 1205664 x 1205892 (340.8 MB)

Sieving start time: 2023/04/12 16:12:27
Sieving end time  : 2023/04/12 20:16:05

Total sieving time: 4hrs 3min 38secs.

Total relation processing time: 0hrs 41min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

391934587878309269945210298962308461179550530266334659760792687409595799569167653790525945437178116399083340125791809887693739355101320271796516844170185489<156>

42695060693722416176987413824932454257351181102505490226187<59>
9179857845615771593326322112201068238106931302925325866682683393372945984161573540835578065128147<97>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 391934587878309269945210298962308461179550530266334659760792687409595799569167653790525945437178116399083340125791809887693739355101320271796516844170185489 (156 digits)
Using B1=38960000, B2=192392390206, polynomial Dickson(12), sigma=1:4027187365
Step 1 took 92821ms
Step 2 took 29962ms
********** Factor found in step 2: 42695060693722416176987413824932454257351181102505490226187
Found prime factor of 59 digits: 42695060693722416176987413824932454257351181102505490226187
Prime cofactor 9179857845615771593326322112201068238106931302925325866682683393372945984161573540835578065128147 has 97 digits

562962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<186>

93348118244209447301495551374520152678142597<44>
6030790695643021966323720561254118509090296726994787493229871416778996833889640146425803442978419589537881476690102142744395394195641349847479<142>

Number: 84445_186
N = 562962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963 (186 digits)
SNFS difficulty: 188 digits.
Divisors found:
r1=93348118244209447301495551374520152678142597 (pp44)
r2=6030790695643021966323720561254118509090296726994787493229871416778996833889640146425803442978419589537881476690102142744395394195641349847479 (pp142)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 17.41 hours.
Factorization parameters were as follows:
n: 562962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963
m: 10000000000000000000000000000000000000
deg: 5
c5: 152
c0: 1
skew: 0.37
# Murphy_E = 5.632e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21325238
Relations: 3174152 relations
Pruned matrix : 1889694 x 1889920
Total sieving time: 15.27 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.84 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,188,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
total time: 17.41 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.29GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

2244680748878478222453211600098926643821824362704148529285518438334099641049747644339144680850184495967188082013212175820480299319768428067722524253934173329125757958787<169>

9572986465720088520040532710451547591713626907778201576890686804789<67>
234480718939325414430548101013742343196236066272316315567190198392304420554738613583413378835207181783<102>

Number: n
N=2244680748878478222453211600098926643821824362704148529285518438334099641049747644339144680850184495967188082013212175820480299319768428067722524253934173329125757958787  ( 169 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sat Jan 14 14:45:23 2023  prp67 factor: 9572986465720088520040532710451547591713626907778201576890686804789
Sat Jan 14 14:45:23 2023  prp102 factor: 234480718939325414430548101013742343196236066272316315567190198392304420554738613583413378835207181783
Sat Jan 14 14:45:23 2023  elapsed time 01:03:50 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 76x10^187+5 = 84(186)5
#
n: 2244680748878478222453211600098926643821824362704148529285518438334099641049747644339144680850184495967188082013212175820480299319768428067722524253934173329125757958787
m: 10000000000000000000000000000000000000
deg: 5
c5: 1520
c0: 1
skew: 0.23
# Murphy_E = 5.523e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1304321 hash collisions in 14122105 relations (13736675 unique)
Msieve: matrix is 1342091 x 1342317 (380.3 MB)

Sieving start time: 2023/01/14 02:41:38
Sieving end time  : 2023/01/14 13:41:22

Total sieving time: 10hrs 59min 44secs.

Total relation processing time: 0hrs 54min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 17sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9200000,9200000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6465475072806843527466758717837661422996870102640792535436560717118317649198385004444301096331502919431<103>

46093009362884062528080105935036114267514896063<47>
140270187652644416868055026045287629942255400343514167737<57>

12/24/22 18:51:30, starting SIQS on c103: 6465475072806843527466758717837661422996870102640792535436560717118317649198385004444301096331502919431
12/24/22 18:51:30, random seed: 6908746894327293037
12/24/22 18:51:31, ==== sieve params ====
12/24/22 18:51:31, n = 105 digits, 348 bits
12/24/22 18:51:31, factor base: 144576 primes (max prime = 4093483)
12/24/22 18:51:31, single large prime cutoff: 614022450 (150 * pmax)
12/24/22 18:51:31, double large prime range from 16756603071289 to 18119276936772016
12/24/22 18:51:31, DLP MFB = 1.85
12/24/22 18:51:31, allocating 10 large prime slices of factor base
12/24/22 18:51:31, buckets hold 2048 elements
12/24/22 18:51:31, large prime hashtables have 2129920 bytes
12/24/22 18:51:31, using AVX2 enabled 32k sieve core
12/24/22 18:51:31, sieve interval: 13 blocks of size 32768
12/24/22 18:51:31, polynomial A has ~ 14 factors
12/24/22 18:51:31, using multiplier of 55
12/24/22 18:51:31, using multiplier of 55
12/24/22 18:51:31, using Q2(x) polynomials for kN mod 8 = 1
12/24/22 18:51:31, using SPV correction of 21 bits, starting at offset 36
12/24/22 18:51:31, trial factoring cutoff at 103 bits
12/24/22 18:51:31, ==== sieving started (46 threads) ====
12/24/22 18:58:34, trial division touched 400770960 sieve locations out of 5561340395520
12/24/22 18:58:34, total reports = 400770960, total surviving reports = 96241710
12/24/22 18:58:34, total blocks sieved = 169719784, avg surviving reports per block = 0.57
12/24/22 18:58:34, dlp-ecm: 5 failures, 2526613 attempts, 82443000 outside range, 10719491 prp, 2023176 useful
12/24/22 18:58:34, 145589 relations found: 35846 full + 109743 from 2539936 partial, using 6527640 polys (3175 A polys)
12/24/22 18:58:34, on average, sieving found 0.39 rels/poly and 6075.02 rels/sec
12/24/22 18:58:34, trial division touched 400770960 sieve locations out of 5561340395520
12/24/22 18:58:34, ==== post processing stage (msieve-1.38) ====
12/24/22 18:58:34, QS elapsed time = 423.9978 seconds.
12/24/22 18:58:35, begin singleton removal with 2575782 relations
12/24/22 18:58:36, reduce to 388568 relations in 11 passes
12/24/22 18:58:37, failed to read relation 122342
12/24/22 18:58:39, recovered 388567 relations
12/24/22 18:58:39, recovered 377312 polynomials
12/24/22 18:58:40, attempting to build 145588 cycles
12/24/22 18:58:40, found 145588 cycles from 388567 relations in 6 passes
12/24/22 18:58:40, distribution of cycle lengths:
12/24/22 18:58:40,    length 1 : 35846
12/24/22 18:58:40,    length 2 : 24395
12/24/22 18:58:40,    length 3 : 23651
12/24/22 18:58:40,    length 4 : 19600
12/24/22 18:58:40,    length 5 : 14797
12/24/22 18:58:40,    length 6 : 10589
12/24/22 18:58:40,    length 7 : 6768
12/24/22 18:58:40,    length 9+: 9942
12/24/22 18:58:40, largest cycle: 19 relations
12/24/22 18:58:40, matrix is 144576 x 145588 (46.5 MB) with weight 11030947 (75.77/col)
12/24/22 18:58:40, sparse part has weight 11030947 (75.77/col)
12/24/22 18:58:40, filtering completed in 3 passes
12/24/22 18:58:40, matrix is 137620 x 137683 (44.0 MB) with weight 10426887 (75.73/col)
12/24/22 18:58:40, sparse part has weight 10426887 (75.73/col)
12/24/22 18:58:41, saving the first 48 matrix rows for later
12/24/22 18:58:41, matrix is 137572 x 137683 (38.8 MB) with weight 9342603 (67.86/col)
12/24/22 18:58:41, sparse part has weight 8799186 (63.91/col)
12/24/22 18:58:41, matrix includes 64 packed rows
12/24/22 18:58:41, using block size 55073 for processor cache size 131072 kB
12/24/22 18:58:42, commencing Lanczos iteration
12/24/22 18:58:42, memory use: 29.6 MB
12/24/22 18:59:19, lanczos halted after 2177 iterations (dim = 137568)
12/24/22 18:59:19, recovered 16 nontrivial dependencies
12/24/22 18:59:19, prp47 = 46093009362884062528080105935036114267514896063
12/24/22 18:59:19, prp57 = 140270187652644416868055026045287629942255400343514167737
12/24/22 18:59:19, Lanczos elapsed time = 44.9760 seconds.
12/24/22 18:59:19, Sqrt elapsed time = 0.1760 seconds.
12/24/22 18:59:19, SIQS elapsed time = 469.1526 seconds.
12/24/22 18:59:19, 
12/24/22 18:59:19, 

Yafu

2019727589815085777991321077764802552110285271327464695146083787320289767605029220139099276653523900476417730149249525153483045659265377053106008255775432791688952452177018985649861<181>

334586198059900535184256974699564437053<39>
6036494038087896723322937420637352390279523533914494347804584640222275811330381533339729968101182118364392403481131060129854917568755893271337<142>

Number: n
N=2019727589815085777991321077764802552110285271327464695146083787320289767605029220139099276653523900476417730149249525153483045659265377053106008255775432791688952452177018985649861  ( 181 digits)
SNFS difficulty: 191 digits.
Divisors found:

Tue Jan 17 14:31:30 2023  prp39 factor: 334586198059900535184256974699564437053
Tue Jan 17 14:31:30 2023  prp142 factor: 6036494038087896723322937420637352390279523533914494347804584640222275811330381533339729968101182118364392403481131060129854917568755893271337
Tue Jan 17 14:31:30 2023  elapsed time 02:03:25 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
#
# N = 76x10^190+5 = 84(189)5
#
n: 2019727589815085777991321077764802552110285271327464695146083787320289767605029220139099276653523900476417730149249525153483045659265377053106008255775432791688952452177018985649861
m: 100000000000000000000000000000000000000
deg: 5
c5: 76
c0: 5
skew: 0.58
# Murphy_E = 3.257e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 45350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1215490 hash collisions in 12547720 relations (12112498 unique)
Msieve: matrix is 1998652 x 1998878 (568.8 MB)

Sieving start time: 2023/01/16 19:47:51
Sieving end time  : 2023/01/17 12:27:54

Total sieving time: 16hrs 40min 3secs.

Total relation processing time: 1hrs 57min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6937285827792693780509656216292173709367090427002366097072801530096711641794699530117884127692230046941795987718511370135281869620414477346929935441718964737936219307817280745129293469<184>

1251055594453113181228638720843701963<37>

5545145922012571306570990832468026376115700146759453300332589825451495825842556238143045663199042235444183913595516064907522249487123163289330084663<148>

Step 2 took 4970ms
********** Factor found in step 2: 1251055594453113181228638720843701963
Found prime factor of 37 digits: 1251055594453113181228638720843701963
Composite cofactor 5545145922012571306570990832468026376115700146759453300332589825451495825842556238143045663199042235444183913595516064907522249487123163289330084663 has 148 digits

5545145922012571306570990832468026376115700146759453300332589825451495825842556238143045663199042235444183913595516064907522249487123163289330084663<148>

9697068143921554733050496321407492581394419546260182722196174270307<67>
571837367719072227810201407908939374030201626901908560534374403627014115303591709<81>

5545145922012571306570990832468026376115700146759453300332589825451495825842556238143045663199042235444183913595516064907522249487123163289330084663=9697068143921554733050496321407492581394419546260182722196174270307*571837367719072227810201407908939374030201626901908560534374403627014115303591709

cado polynomial
n: 5545145922012571306570990832468026376115700146759453300332589825451495825842556238143045663199042235444183913595516064907522249487123163289330084663
skew: 0.58
type: snfs
c0: 5
c5: 76
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 76*x^5+5
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12900000
tasks.lim1 = 12900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 571837367719072227810201407908939374030201626901908560534374403627014115303591709 9697068143921554733050496321407492581394419546260182722196174270307
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1521.87/472.435
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Factor Base: Total cpu/real time for makefb: 5.58/2.54826
Info:Generate Free Relations: Total cpu/real time for freerel: 125.34/33.3824
Info:Square Root: Total cpu/real time for sqrt: 1521.87/472.435
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 122.58/124.826
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 123.9s
Info:Quadratic Characters: Total cpu/real time for characters: 95.7/40.6986
Info:Filtering - Singleton removal: Total cpu/real time for purge: 416.79/394.205
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 570.22/604.763
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 433.09999999999997s
Info:Filtering - Merging: Merged matrix has 2762176 rows and total weight 470006008 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 839.18/232.539
Info:Filtering - Merging: Total cpu/real time for replay: 177.79/11090.2
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29777311
Info:Lattice Sieving: Average J: 1893.52 for 3765657 special-q, max bucket fill -bkmult 1.0,1s:1.164750
Info:Lattice Sieving: Total time: 802157s
Info:Linear Algebra: Total cpu/real time for bwc: 162248/42606.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 106234.46, WCT time 27487.09, iteration CPU time 0.29, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (86528 iterations)
Info:Linear Algebra: Lingen CPU time 463.03, WCT time 437.07
Info:Linear Algebra: Mksol: CPU time 54197.55,  WCT time 14003.29, iteration CPU time 0.3, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (43520 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.67444e+06/456823
Info:root: Cleaning up computation data in /tmp/cado.3tc5s91a
571837367719072227810201407908939374030201626901908560534374403627014115303591709 9697068143921554733050496321407492581394419546260182722196174270307

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)

689511427022074136529710261643108076636952614988319734416493638181398457538051434484042302785547587204442005712608533602607657322955579936071344878122317643666079069115316157<174>

883017798094005691635504052509714507467053<42>
780857904008712912935330406341618045230857157238264110019415013240971576057311714737602286877776479801147658379320154312883358671569<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1953865470
Step 1 took 44836ms
Step 2 took 14408ms
********** Factor found in step 2: 883017798094005691635504052509714507467053
Found probable prime factor of 42 digits: 883017798094005691635504052509714507467053
Probable prime cofactor 780857904008712912935330406341618045230857157238264110019415013240971576057311714737602286877776479801147658379320154312883358671569 has 132 digits

19071640639379111296000629404291921909365633907087456168774423611951847374658740437609559909809358211400210457812939308419625073050814053971786917984516093812863287856265947945866548305053547<191>

56803669892409192794085847393268185885157025539318124863634455011036351032129051320629211841877<95>
335746628263673140266345709691889620663341059671765399584101564025611664430409557814159852427711<96>

Number: n
N=19071640639379111296000629404291921909365633907087456168774423611951847374658740437609559909809358211400210457812939308419625073050814053971786917984516093812863287856265947945866548305053547  ( 191 digits)
SNFS difficulty: 199 digits.
Divisors found:

Mon Feb 13 23:24:00 2023  prp95 factor: 56803669892409192794085847393268185885157025539318124863634455011036351032129051320629211841877
Mon Feb 13 23:24:00 2023  prp96 factor: 335746628263673140266345709691889620663341059671765399584101564025611664430409557814159852427711
Mon Feb 13 23:24:00 2023  elapsed time 02:23:16 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.079).
Factorization parameters were as follows:
#
# N = 76x10^198+5 = 84(197)5
#
n: 19071640639379111296000629404291921909365633907087456168774423611951847374658740437609559909809358211400210457812939308419625073050814053971786917984516093812863287856265947945866548305053547
m: 2000000000000000000000000000000000000000
deg: 5
c5: 475
c0: 1
skew: 0.29
# Murphy_E = 1.651e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 39800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2060746 hash collisions in 14451485 relations (13125668 unique)
Msieve: matrix is 2142889 x 2143114 (607.4 MB)

Sieving start time: 2023/02/13 06:26:00
Sieving end time  : 2023/02/13 21:00:23

Total sieving time: 14hrs 34min 23secs.

Total relation processing time: 2hrs 16min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 49sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14000000,14000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

8627006859323604943494124905951684550759701905987186341676537884175254038249437803804595172372927497756853871467900662246912776131411411649722106311611306017858727819485261602043778345089<187>

728163041894661399969210052274340388591131863471<48>
11847630768071332274900696868856428242326800840532995676201798054921172578486415868874303427210575806482818888585274559262091660571639729359<140>

Number: n
N=8627006859323604943494124905951684550759701905987186341676537884175254038249437803804595172372927497756853871467900662246912776131411411649722106311611306017858727819485261602043778345089  ( 187 digits)
SNFS difficulty: 200 digits.
Divisors found:

Mon May  8 20:05:30 2023  prp48 factor: 728163041894661399969210052274340388591131863471
Mon May  8 20:05:30 2023  prp140 factor: 11847630768071332274900696868856428242326800840532995676201798054921172578486415868874303427210575806482818888585274559262091660571639729359
Mon May  8 20:05:30 2023  elapsed time 03:33:45 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 76x10^199+5 = 84(198)5
#
n: 8627006859323604943494124905951684550759701905987186341676537884175254038249437803804595172372927497756853871467900662246912776131411411649722106311611306017858727819485261602043778345089
m: 2000000000000000000000000000000000000000
deg: 5
c5: 4750
c0: 1
skew: 0.18
# Murphy_E = 1.222e-11
type: snfs
lss: 1
rlim: 15200000
alim: 15200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15200000/15200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 47600659)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2204823 hash collisions in 14704233 relations (13209196 unique)
Msieve: matrix is 2559665 x 2559890 (724.9 MB)

Sieving start time: 2023/05/07 21:20:15
Sieving end time  : 2023/05/08 16:31:29

Total sieving time: 19hrs 11min 14secs.

Total relation processing time: 3hrs 22min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 59sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15200000,15200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

63521366190313610489538159885494148162047087429385732740421977684523906940463886048287349428447444507696492271036017682972330765428761418927787964883333136840667896589626212123<176>

125920796124027256799570691961800651880907<42>

504454928380118003252840164998748632495284131516237814779752302775350494575725303240072847144647920438483781125939828400204926893090289<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3960287485
Step 1 took 30597ms
Step 2 took 13863ms
********** Factor found in step 2: 125920796124027256799570691961800651880907
Found prime factor of 42 digits: 125920796124027256799570691961800651880907
Composite cofactor 504454928380118003252840164998748632495284131516237814779752302775350494575725303240072847144647920438483781125939828400204926893090289 has 135 digits

504454928380118003252840164998748632495284131516237814779752302775350494575725303240072847144647920438483781125939828400204926893090289<135>

532235230638837505524349872236276506211239<42>
947804465658210867940683672681311597833310773615041533783055517038739939601054065133040118951<93>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1911411645
Step 1 took 16671ms
Step 2 took 7782ms
********** Factor found in step 2: 532235230638837505524349872236276506211239
Found prime factor of 42 digits: 532235230638837505524349872236276506211239
Prime cofactor 947804465658210867940683672681311597833310773615041533783055517038739939601054065133040118951 has 93 digits
 

GMP-ECM

2413694923888418059583011970497661018461749049091537633235562809343984714959303039238898472210511037969803088544969121378524689320146301671531373508332567143990717437469024910125593121858722942599<196>

1393905773223724704478507519502660937527525781382860089493055860228335858145787399<82>
1731605514701469801239622049584164359906406130783590148982921713484341500567303594757273018297526007304951066364801<115>

Number: n
N=2413694923888418059583011970497661018461749049091537633235562809343984714959303039238898472210511037969803088544969121378524689320146301671531373508332567143990717437469024910125593121858722942599  ( 196 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Jun 20 15:53:20 2023  prp82 factor: 1393905773223724704478507519502660937527525781382860089493055860228335858145787399
Tue Jun 20 15:53:20 2023  prp115 factor: 1731605514701469801239622049584164359906406130783590148982921713484341500567303594757273018297526007304951066364801
Tue Jun 20 15:53:20 2023  elapsed time 03:00:25 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 76x10^201+5 = 84(200)5
#
n: 2413694923888418059583011970497661018461749049091537633235562809343984714959303039238898472210511037969803088544969121378524689320146301671531373508332567143990717437469024910125593121858722942599
m: 10000000000000000000000000000000000000000
deg: 5
c5: 152
c0: 1
skew: 0.37
# Murphy_E = 1.343e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2141794 hash collisions in 14927468 relations (13544044 unique)
Msieve: matrix is 2394188 x 2394413 (675.5 MB)

Sieving start time: 2023/06/19 19:53:59
Sieving end time  : 2023/06/20 12:52:39

Total sieving time: 16hrs 58min 40secs.

Total relation processing time: 2hrs 53min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 57sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

810464329285373152310985385543887084533041596655167064286333343381847822570928378952529724686760084544978660207823021163989627439655004230993858008065193793909652217009391612496775617169803<189>

66478495083148611431044060882169123791<38>

12191375997180398965284564242746397077026078676372998518015604644754504482425728339466013929402115814236845557125247826151644479636985921775313514041733<152>

Resuming ECM residue saved by @6c763ad417cc with GMP-ECM 7.0.5-dev on Sun Jan  1 21:21:21 2023 
Input number is 810464329285373152310985385543887084533041596655167064286333343381847822570928378952529724686760084544978660207823021163989627439655004230993858008065193793909652217009391612496775617169803 (189 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:227773682
Step 1 took 0ms
Step 2 took 5390ms
********** Factor found in step 2: 66478495083148611431044060882169123791
Found prime factor of 38 digits: 66478495083148611431044060882169123791
Composite cofactor 12191375997180398965284564242746397077026078676372998518015604644754504482425728339466013929402115814236845557125247826151644479636985921775313514041733 has 152 digits

12191375997180398965284564242746397077026078676372998518015604644754504482425728339466013929402115814236845557125247826151644479636985921775313514041733<152>

2305486345270822605894088706738469734943977585949690317<55>
5287984473292680998420730289920989667964473310787460568969344388120177552258774546209142855978649<97>

FACTORS
5287984473292680998420730289920989667964473310787460568969344388120177552258774546209142855978649
2305486345270822605894088706738469734943977585949690317
POLYNOMIAL
n: 12191375997180398965284564242746397077026078676372998518015604644754504482425728339466013929402115814236845557125247826151644479636985921775313514041733
skew: 0.58
type: snfs
c0: 5
c5: 76
Y0: -100000000000000000000000000000000000000000
Y1: 1
# MurphyE = 7.682e-12
# f(x) = 76*x^5+5
# g(x) = x-100000000000000000000000000000000000000000

cado-nfs

4x Xeon E7-8890v4, 1024GB DDR4, Ubuntu Server 24.04

27521914981019335991406910074124132186959332190470867092534854151433333890898473333367896157642814722982931526173143993167229273555721391974489700324496762414081534048060266287<176>

2226506090539657553980543845140447214525773<43>
70720398815230442739949388527076873890004195607546868423<56>
174787375097498391171869148338357515815216649137132047635633449528432684558653<78>

Number: n
N=27521914981019335991406910074124132186959332190470867092534854151433333890898473333367896157642814722982931526173143993167229273555721391974489700324496762414081534048060266287  ( 176 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Jun 12 08:57:30 2024  prp43 factor: 2226506090539657553980543845140447214525773
Wed Jun 12 08:57:30 2024  prp56 factor: 70720398815230442739949388527076873890004195607546868423
Wed Jun 12 08:57:30 2024  prp78 factor: 174787375097498391171869148338357515815216649137132047635633449528432684558653
Wed Jun 12 08:57:30 2024  elapsed time 02:52:01 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.038).
Factorization parameters were as follows:
#
# N = 76x10^206+5 = 84(205)5
#
n: 27521914981019335991406910074124132186959332190470867092534854151433333890898473333367896157642814722982931526173143993167229273555721391974489700324496762414081534048060266287
m: 100000000000000000000000000000000000000000
deg: 5
c5: 152
c0: 1
skew: 0.37
# Murphy_E = 8.261e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42750000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4361817 hash collisions in 21438015 relations (17299279 unique)
Msieve: matrix is 2281710 x 2281935 (639.5 MB)

Sieving start time: 2024/06/11 13:34:05
Sieving end time  : 2024/06/12 06:05:00

Total sieving time: 16hrs 30min 55secs.

Total relation processing time: 2hrs 37min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 17sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

118117517138765959981507009780211597925790430454865445658350705235178310887041976970335050062775330799265571945470112534266026339<129>

40038602552565179936544793475790537542802428691600185809127<59>
2950090902490762530058741599014632212415720240268413147625740326584357<70>

118117517138765959981507009780211597925790430454865445658350705235178310887041976970335050062775330799265571945470112534266026339=40038602552565179936544793475790537542802428691600185809127*2950090902490762530058741599014632212415720240268413147625740326584357

cado polynomial
n: 118117517138765959981507009780211597925790430454865445658350705235178310887041976970335050062775330799265571945470112534266026339
skew: 4996.203
c0: -131914686643103394592336680
c1: -38377702350433724292674
c2: 12614955233140957559
c3: 6987860416014271
c4: -434671258086
c5: -55397160
Y0: -2780676512359954482422997
Y1: 138098078429167093
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.708e-07
# f(x) = -55397160*x^5-434671258086*x^4+6987860416014271*x^3+12614955233140957559*x^2-38377702350433724292674*x-131914686643103394592336680
# g(x) = 138098078429167093*x-2780676512359954482422997

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

cado log (extracts)
Info:Square Root: Factors: 2950090902490762530058741599014632212415720240268413147625740326584357 40038602552565179936544793475790537542802428691600185809127
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 823.08/248.994
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 95.59/99.2336
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 98.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 118.28/117.519
Info:Filtering - Merging: Merged matrix has 1635989 rows and total weight 278365849 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 429.99/130.699
Info:Filtering - Merging: Total cpu/real time for replay: 62.54/58.014
Info:Generate Factor Base: Total cpu/real time for makefb: 38.67/10.2908
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23213518
Info:Lattice Sieving: Average J: 7581.03 for 50992 special-q, max bucket fill -bkmult 1.0,1s:1.074590
Info:Lattice Sieving: Total time: 73039.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 262.21/243.416
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 217.7s
Info:Linear Algebra: Total cpu/real time for bwc: 48615.5/12821.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 31159.12, WCT time 8036.17, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51200 iterations)
Info:Linear Algebra: Lingen CPU time 249.99, WCT time 254.52
Info:Linear Algebra: Mksol: CPU time 16841.86,  WCT time 4358.8, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25600 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5021.62
Info:Polynomial Selection (root optimized): Rootsieve time: 5019.07
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 40925.7
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28166/37.920/45.695/50.980/0.860
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22169/37.080/40.885/46.500/0.858
Info:Polynomial Selection (size optimized): Total time: 4653.53
Info:Square Root: Total cpu/real time for sqrt: 823.08/248.994
Info:Generate Free Relations: Total cpu/real time for freerel: 249.74/64.6501
Info:Quadratic Characters: Total cpu/real time for characters: 63.83/27.1656
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 197932/53820.3
Info:root: Cleaning up computation data in /tmp/cado.nhjikknq
2950090902490762530058741599014632212415720240268413147625740326584357 40038602552565179936544793475790537542802428691600185809127

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)

251989929415465008275090486807430101485825178243625144330502767364959655453571889723883038599791295108069383623541510883924514979055549843083391140658077882040627<162>

927316239368799750859410152320416409893105023682650127298251874061889220032297814540742026375228742835483050651044023563666912716609100765763718711869648473997110079947654462471167099537277127549121420634813<207>

26342605410421913420805761353669008667138389434840615402614547826593503753695749282664810826908775306737384322089910550139050724389363405629415271136078359926413<161>

9537253008415149329262683545390235855604538959378246448647001162702931225644283661512301370865526385975789103273426387547639547211661463977600188152114627785615863<163>

12991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991453<218>

47993721824170002549094546930107803468960354336876036535813863382919979384392259179595759310359193958422336295036779821762095709509939025348514664578232484533<158>

50809071577244616709574192304972583810929392140891006774259419930663784249740288359994609888946782214304580960206291023547893938132969085046993526533313164675137089340626587548527579<182>

38274012454002249807900931414836732497235922388971423995731563943690557887326070871813993414683970563427024386838380105607154822872169988283946533466074496117949970510481<170>

172725278930180968541321255909289176416627<42>
221588945700723837757849128060077973981442922178704594666781995928992848081921520251880191994142893432318185873218014544943917803<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1941023842
Step 1 took 26621ms
Step 2 took 12536ms
********** Factor found in step 2: 172725278930180968541321255909289176416627
Found prime factor of 42 digits: 172725278930180968541321255909289176416627
Prime cofactor 221588945700723837757849128060077973981442922178704594666781995928992848081921520251880191994142893432318185873218014544943917803 has 129 digits

895126817319067318498627476950539583175900437871606377286594450163574809914779616798243339798277525637885594550564381095874328257599889498475098074195362050220237<162>

65731007027092675073747454302081103549142416408058590878152440686530999351864103108714607765717030084211911686373363692559681598935329786508195264189388089053612449707016645828282948776757375343<194>

95859249996865179326842542098831748739530047<44>
685703330969543701325888846800835396814354604123349938384697694211198008354843002575938783626162753040302876374965754342923968380520375701788079804369<150>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1790843114
Step 1 took 48564ms
Step 2 took 15792ms
********** Factor found in step 2: 95859249996865179326842542098831748739530047
Found probable prime factor of 44 digits: 95859249996865179326842542098831748739530047
Probable prime cofactor 685703330969543701325888846800835396814354604123349938384697694211198008354843002575938783626162753040302876374965754342923968380520375701788079804369 has 150 digits

1182668532430134995597794900141623692962813541236314766655557157197073034081819184625136508693100791253929472032707398493498499753441074189634419355593534141243476953353367267601647902548566160479<196>

161765888796405158284597370208410905376706268769683348345761721089099561976534993175064614145740603856324956494082000790898255856785587973847097896723624654483526335941914941015815876282860611<192>

4203690675829759325223733156839548607988246090739389071538834679917778796972262363216410594394612153512077623212502503911550836260921391249045977746843517523436142025515554321826284444101<187>

179505975268153606804379546660713439768555162631533603361389882548814787988213973502335463425425598612253016535301860732652845401545500033743709815777323780576002938243305586430838635051510602040800495633262631250753<216>

118394515754725996669209298435303210531049270534446573133612383669868096731021596301769726166597317032767639829082575384697813416963379047836097146199523884504436150382302703095857707702774645698708669<201>

33638130275356929316976500405929345126757411<44>

3519652096759403779029393658136987680923359785702399218096098425646032845057164386055171881156931017723535918531495328040463188035266288541722186497222181279<157>

Resuming ECM residue saved by @c63f814aac73 with GMP-ECM 7.0.5-dev on Thu Feb 16 12:21:39 2023 
Input number is 118394515754725996669209298435303210531049270534446573133612383669868096731021596301769726166597317032767639829082575384697813416963379047836097146199523884504436150382302703095857707702774645698708669 (201 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3640390635
Step 1 took 0ms
Step 2 took 16962ms
********** Factor found in step 2: 33638130275356929316976500405929345126757411
Found prime factor of 44 digits: 33638130275356929316976500405929345126757411
Composite cofactor 3519652096759403779029393658136987680923359785702399218096098425646032845057164386055171881156931017723535918531495328040463188035266288541722186497222181279 has 157 digits

72163024359141824009787617820247042944601420505582883210272129110884918555388187971766806205688619672036043736880565696598453089154230900563190253615978325678723195207994788921765905067491574203719<197>

28345629498196211209000079160606333821572449862567287365844401450708752057468030239689212482191120329595291348222491980283150402949471925237008059907294290610684118396942171011098138530552817844867<197>

371706931256886467752416984472045372935709707698555111337089831787509124745516113874815196513141542913964326380263384738162979975150485118131369062125194261947360280932235059883029749865779974221<195>

1219414853791638898916847871235305794946572627101381531757045916524447238964449274598122422997705296158260505057507211302852287662715728681286382801851091605074543617343306347560310015651696549075737303690527249734500839657<223>

123781010431315025959661736052997772297828333526021764738640771675400439827640574549332824997360412686000085949420036704257982564647171918086650330025052866794416973822440835988472967358022675962968435905000699893773<216>

232341297137004937252564161354916616988428791978111004111829534858837376377615750294248024334693752770517112242246373488635147735436633496889378028461808899283104813439109765977285581082527017318598003699118020207578606257929411045382981<237>

2368558095812305736840560252252158722833469638989204379068932286395938933249963709003821176688827530907671720764108120544931646089128000282871105772787819040303569948647959250926193<181>

5070241540166899930410596600301311303<37>
467148966582435953697497728054498962730680380200356020451194256780526633284495611462693356774020477211420033408773238498613854552391317478698631<144>

Resuming ECM residue saved by @6c763ad417cc with GMP-ECM 7.0.5-dev on Sun Jan  1 18:53:24 2023 
Input number is 2368558095812305736840560252252158722833469638989204379068932286395938933249963709003821176688827530907671720764108120544931646089128000282871105772787819040303569948647959250926193 (181 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3422353883
Step 1 took 0ms
Step 2 took 3232ms
********** Factor found in step 2: 5070241540166899930410596600301311303
Found prime factor of 37 digits: 5070241540166899930410596600301311303
Prime cofactor 467148966582435953697497728054498962730680380200356020451194256780526633284495611462693356774020477211420033408773238498613854552391317478698631 has 144 digits

1644077506290296513415984014832560944152514741425455540587127613631235370709689039144766465351939484373745442785210814969021929821263855394095149161832148866833699468258272747100547823574237060725208604050366888534374509273623223718287<235>

1822566348716148308065603341067493290499391539220251678102209381662537758013443556802797256096189965972552601983857835152437565383930832903793886492098849286053640090827741584876465191883774552801497654253<205>

28066279860492994912417862631581568259070593<44>
64937938258132021451361633151536339827341965796176450649366592569001504924151760540738028594196130152588246588938754371169420358301365111853090096811768938912621<161>

Resuming ECM residue saved by @6c763ad417cc with GMP-ECM 7.0.5-dev on Sun Jan  1 19:20:00 2023 
Input number is 1822566348716148308065603341067493290499391539220251678102209381662537758013443556802797256096189965972552601983857835152437565383930832903793886492098849286053640090827741584876465191883774552801497654253 (205 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:164965540
Step 1 took 0ms
Step 2 took 3409ms
********** Factor found in step 2: 28066279860492994912417862631581568259070593
Found prime factor of 44 digits: 28066279860492994912417862631581568259070593
Prime cofactor 64937938258132021451361633151536339827341965796176450649366592569001504924151760540738028594196130152588246588938754371169420358301365111853090096811768938912621 has 161 digits

562962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<246>

1739628542779285715902101871117199639<37>
323611017593190029095329816406047635013090867290089100962610168757433517482999446864616775822502153503461003920329490070845616292563020833887528894568257000288602268950138096342447725324908953079582341392546917<210>

Resuming ECM residue saved by @6c763ad417cc with GMP-ECM 7.0.5-dev on Sun Jan  1 20:16:18 2023 
Input number is 562962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963 (246 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2242491777
Step 1 took 0ms
Step 2 took 6948ms
********** Factor found in step 2: 1739628542779285715902101871117199639
Found prime factor of 37 digits: 1739628542779285715902101871117199639
Prime cofactor 323611017593190029095329816406047635013090867290089100962610168757433517482999446864616775822502153503461003920329490070845616292563020833887528894568257000288602268950138096342447725324908953079582341392546917 has 210 digits

40236713457730404429077271367388388059759169806294184732817695281515745926917303811828645041686996094937904194989968156251899213811876024612676629990015520131805419145173833244963697898783122301233147449<203>

41641633743749988014332392835118581401038246470803050688004716462937713156537202279441114483535528121389745692898978218412012734669098318910808277808872024027222670143743084269790665863421468399068213653360246978721399115060491321965715237523057<245>

273936427995080544819424939579942813823093043556963102867289345287905246517290070212441861257180055598755291877429597024036107454548496262846026405454604993693984330422065711822290913318250474692164202730271538281661387239958583<228>

232130817811073889239910392006489766795424438906597263217364594696003237247515547381496415739819471557553041242819846372464984478771399998830182852346825005540977892914663412070426840773332212996702108308299475450020333590616746995383452545489279<246>

7957099606221007648066607799969634594504814623743463663166923049380857173594022528182507142752829913376519336999492831419492324391043691229865617585998562823124593097969122930398162642269549737736583492900386554648887<217>

45090015962513137425975500275982865621963297285487892279720672432163740405159391559203173826056907894606805301740381249858835674725637278054699381934699575547787038413638932433086355640344222921698199382288835670982839643840064472610518756257633<245>

8063125538583690632982821284786870803234612932858295612876491802493196335799736225926439995423227399126176204515768760052758179726863929355279770844846475389910743581574091340357703982686389942358148479147892093581<214>

26886469586549835941902750565545922885345558389122979120477964914931383034809008344644240007384415744305334769175853377602791033939459629271693185574443790796090411128834757904452827605959568079779<197>

8023152677841063508553353824209970499618811605943543498730094096094075710934328295640876298657988054922755518631165335640758009962438978816552220785549523819368312801355116007907378982486217388033423817143863342400804399135164785960947313<238>

813939465401919172090201472126106956957606959710673240084823848543088035601719736373653507770843866535842344456991209221902936275546621479797281344746373863032682020017273878194993102632584217686100964353608761849322367821708857<228>

15827569068090623421751597501591978922177747<44>

51425424959469766132208946153707157136273065032062301824636484549359219524583620231811666912832190803528830051958058711707789715806087279431437146682080964099307494238866677272787192131<185>

Resuming ECM residue saved by @6c763ad417cc with GMP-ECM 7.0.5-dev on Sun Jan  1 21:06:30 2023 
Input number is 813939465401919172090201472126106956957606959710673240084823848543088035601719736373653507770843866535842344456991209221902936275546621479797281344746373863032682020017273878194993102632584217686100964353608761849322367821708857 (228 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4294404903
Step 1 took 0ms
Step 2 took 6372ms
********** Factor found in step 2: 15827569068090623421751597501591978922177747
Found prime factor of 44 digits: 15827569068090623421751597501591978922177747
Composite cofactor 51425424959469766132208946153707157136273065032062301824636484549359219524583620231811666912832190803528830051958058711707789715806087279431437146682080964099307494238866677272787192131 has 185 digits

665117641257084123377775947909723608111020362748887310219577189714420765478454562604945222469499772641531981614220868427973443795817689542429076882478886968428595015576085828996409104525950811931604599682519862256572575384507836296845712909666959<246>

53277252015422362425516999649491763056431826147914475990185769365580091132141605327725201542236242551699964949176305643182614791447599018576936558009113214160532772520154223624255169996494917630564318261479144759901857693655800911321416053277252015422362425517<260>

5009086666077114665963488300573142006051<40>
10636121027058740353878343293717203510016593334180445950142754032122519362132133600929774774660478166753556544078598781730563944727893825847102539460824147597721799809104639242516112844681912226582121686055447197699165167<221>

Resuming ECM residue saved by @6369760d5fbd with GMP-ECM 7.0.5-dev on Thu Jan 12 05:26:50 2023 
Input number is 53277252015422362425516999649491763056431826147914475990185769365580091132141605327725201542236242551699964949176305643182614791447599018576936558009113214160532772520154223624255169996494917630564318261479144759901857693655800911321416053277252015422362425517 (260 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3986029915
Step 1 took 0ms
Step 2 took 12978ms
********** Factor found in step 2: 5009086666077114665963488300573142006051
Found prime factor of 40 digits: 5009086666077114665963488300573142006051
Prime cofactor 10636121027058740353878343293717203510016593334180445950142754032122519362132133600929774774660478166753556544078598781730563944727893825847102539460824147597721799809104639242516112844681912226582121686055447197699165167 has 221 digits

372279857982805165297513594248522736743397011496739675461776799284006867598702698766718195132012062959866719052300121706753390028141658508718605430043540893287212887864447792580276412154244153073187939349557539<210>

820592886321006026632073723172290703517457<42>
453671807529140315953937423903670424780856444151930551633978291112822788581581682670504315639567690138249844319109602779151089509577827164786391749966158108202326416627<168>

Resuming ECM residue saved by @22b69890767c with GMP-ECM 7.0.5-dev on Thu Jan 26 12:24:46 2023 
Input number is 372279857982805165297513594248522736743397011496739675461776799284006867598702698766718195132012062959866719052300121706753390028141658508718605430043540893287212887864447792580276412154244153073187939349557539 (210 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3313409485
Step 1 took 0ms
Step 2 took 11640ms
********** Factor found in step 2: 820592886321006026632073723172290703517457
Found prime factor of 42 digits: 820592886321006026632073723172290703517457
Prime cofactor 453671807529140315953937423903670424780856444151930551633978291112822788581581682670504315639567690138249844319109602779151089509577827164786391749966158108202326416627 has 168 digits

678980896725905339007316203379654765394303222005377641056280763295408901805903416492342724608676842355294506447839254869962997930169496658913042578301856599590845029166460799331<177>

647058244130256408852051151448287318223<39>

1049335052733247802273122143460783350191932353733980640082661523798114856035079880983513328145038173668875009334321592213402664838290397997<139>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3740775483
Step 1 took 27219ms
Step 2 took 11343ms
********** Factor found in step 2: 647058244130256408852051151448287318223
Found prime factor of 39 digits: 647058244130256408852051151448287318223
Composite cofactor 1049335052733247802273122143460783350191932353733980640082661523798114856035079880983513328145038173668875009334321592213402664838290397997 has 139 digits
 

GMP-ECM

1049335052733247802273122143460783350191932353733980640082661523798114856035079880983513328145038173668875009334321592213402664838290397997<139>

31462838361778625660708186706990382045072409018947606199964438653483<68>
33351569895486309336018453773087983928521672333381453634031642701847559<71>

1049335052733247802273122143460783350191932353733980640082661523798114856035079880983513328145038173668875009334321592213402664838290397997=31462838361778625660708186706990382045072409018947606199964438653483*33351569895486309336018453773087983928521672333381453634031642701847559

cado polynomial
n: 1049335052733247802273122143460783350191932353733980640082661523798114856035079880983513328145038173668875009334321592213402664838290397997
skew: 55334.52
c0: 190920706363623136962454789344
c1: -30476770751649757634473966
c2: 1500725640012296698203
c3: 24617485304193289
c4: -244792951524
c5: -1750320
Y0: -355281184069214007162141245
Y1: 1062687275021025032419
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 3.024e-07
# f(x) = -1750320*x^5-244792951524*x^4+24617485304193289*x^3+1500725640012296698203*x^2-30476770751649757634473966*x+190920706363623136962454789344
# g(x) = 1062687275021025032419*x-355281184069214007162141245

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 31462838361778625660708186706990382045072409018947606199964438653483 33351569895486309336018453773087983928521672333381453634031642701847559
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1640.64/487.503
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 152.83/145.608
Info:Linear Algebra: Total cpu/real time for bwc: 56491.1/14886.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36267.74, WCT time 9349.44, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55040 iterations)
Info:Linear Algebra: Lingen CPU time 259.39, WCT time 264.92
Info:Linear Algebra: Mksol: CPU time 19557.6,  WCT time 5068.32, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6667.87
Info:Polynomial Selection (root optimized): Rootsieve time: 6665.36
Info:Generate Factor Base: Total cpu/real time for makefb: 11.15/2.9998
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): 48404/40.440/49.658/53.530/0.952
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39849/39.460/44.173/50.320/0.911
Info:Polynomial Selection (size optimized): Total time: 21392
Info:Generate Free Relations: Total cpu/real time for freerel: 484.29/122.974
Info:Square Root: Total cpu/real time for sqrt: 1640.64/487.503
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 140.42/146.053
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 145.7s
Info:Quadratic Characters: Total cpu/real time for characters: 68.64/29.8933
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 373.07/348.784
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 313.0s
Info:Filtering - Merging: Merged matrix has 1756016 rows and total weight 298972946 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 455.94/131.551
Info:Filtering - Merging: Total cpu/real time for replay: 67.13/65.4263
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32840611
Info:Lattice Sieving: Average J: 3796.87 for 750578 special-q, max bucket fill -bkmult 1.0,1s:1.151250
Info:Lattice Sieving: Total time: 261385s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 579440/155178
Info:root: Cleaning up computation data in /tmp/cado.wp_vdyav
31462838361778625660708186706990382045072409018947606199964438653483 33351569895486309336018453773087983928521672333381453634031642701847559

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)

623533861806083512918282222835941290967511928725506990426321743655730835518374900157247226401705199299578527402632834240341435692001513702374537520787478832063216198935988297224911701638735823787672456268132178658805742853131441569431732600818891<246>

4800033617183590614260122174359645492712919963071260889263223516719460659551265066779367274157743603195797826981225480773508674244875612285504518493524827536683745546168811<172>

5367383613910450448614398598251377673114659647<46>
894296730485877748420749009542692786446550989192443054080187551987022619662437609356633755918865048925770392107788224265712213<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1377901897
Step 1 took 23766ms
Step 2 took 10391ms
********** Factor found in step 2: 5367383613910450448614398598251377673114659647
Found prime factor of 46 digits: 5367383613910450448614398598251377673114659647
Prime cofactor 894296730485877748420749009542692786446550989192443054080187551987022619662437609356633755918865048925770392107788224265712213 has 126 digits
 

GMP-ECM

3580179864796409639833369290746482887237372486267831508709903546257120669937127800259124338365375492390517795286548247725635713555795586212997184713919396539763084926838954549217605961657175555999444870217201418446502464772082975987<232>

2462229589899038685301853267456872594359305906227<49>
1454039818010314550514009808992345597125953924802002164517993577740965877343751934997242855058349729786800384316702692199024007810482572538260821141184081772880457196318585836923170881<184>

Resuming ECM residue saved by @c63f814aac73 with GMP-ECM 7.0.5-dev on Thu Feb 16 10:06:40 2023 
Input number is 3580179864796409639833369290746482887237372486267831508709903546257120669937127800259124338365375492390517795286548247725635713555795586212997184713919396539763084926838954549217605961657175555999444870217201418446502464772082975987 (232 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:575661449
Step 1 took 0ms
Step 2 took 21000ms
********** Factor found in step 2: 2462229589899038685301853267456872594359305906227
Found prime factor of 49 digits: 2462229589899038685301853267456872594359305906227
Prime cofactor 1454039818010314550514009808992345597125953924802002164517993577740965877343751934997242855058349729786800384316702692199024007810482572538260821141184081772880457196318585836923170881 has 184 digits

65734020064977380526120783969330871108737846504609746764459050254106142728683907214483812157616801615643126911254306901264512279729671200489000273875309006397543559020786372882561595993307<188>

482604453431448040524020879119637205191150620006648793414497997486229740440345683509448476704352202324577877404248602049690178123172529151786303377560624306160244740950519640655599708696424862391160064137143504681128095137201541686925499109513589<246>

521637478806458151194943062296244148023684860221735831098420355290310783674449458882934032411322295289089103816796587728917184040046665039345297418558749679501659704970365810786198570381600245323488049030936099936477396751399827713709467<237>

305266473568428662717653116571578454728353128246592451727143680284580936739512483265654823725123407434757722700077929910061763931853686927396285317885441796739664044983596664525248412146310985050510883114790930484060438879<222>

5968897261419872142756793775959493126194472634683147837286714826681883853453186481736071713492618813290946233798271720549010270732004586321977002538764948405403422605629139287991334595860218532792997902178309728070135782972681809155455362273748625570317932802801<262>

12950640898985392662013441535487491341958789<44>
460895897583531985856618620952104569176349461507172828462335283456964004004568160359676000861742277001060905865975807618877442819636445371235924323426244430848209483347285894760419163602072406125911891724412310397533309<219>

Resuming ECM residue saved by @24c2a962499e with GMP-ECM 7.0.5-dev on Thu Jan 12 12:53:30 2023 
Input number is 5968897261419872142756793775959493126194472634683147837286714826681883853453186481736071713492618813290946233798271720549010270732004586321977002538764948405403422605629139287991334595860218532792997902178309728070135782972681809155455362273748625570317932802801 (262 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3716587435
Step 1 took 0ms
Step 2 took 23905ms
********** Factor found in step 2: 12950640898985392662013441535487491341958789
Found prime factor of 44 digits: 12950640898985392662013441535487491341958789
Prime cofactor 460895897583531985856618620952104569176349461507172828462335283456964004004568160359676000861742277001060905865975807618877442819636445371235924323426244430848209483347285894760419163602072406125911891724412310397533309 has 219 digits

8542803184039962509143180525845402345689871485108391811169275533947222424927654960272077757954372789226472669793864711651528043766212829735562071195661872109270297735215041252900319558250332629514713282061411666762353353147671930264094003429<241>

52338677494752769504750702468162464798325090550787814338212026592575420544156371395034383577571420953055595981057137796745493706165711994228643605757149134205304303472934197940880909888514011774896488332765501565720459873017154363723524071<239>

3826465742773185552022673384886841951162107434169919131139890616844021445665721176867671520794636583339411925081449896833596018804771874771501650086849108074262366547833190939383852917450943084818579780070305922567274612842087<226>

36843202525413247594409704528377721669703580087727331109783921709106046745506949297356356348845458416644557222829205875338930423591521346157399764337683557602720497440962330890120643519373565808184220131255388265688047<218>