56750281131563912430926745151217110063609757578036067742235309925412716808229854248797150582377604181<101>

144966510908242952924148738371571398797944437<45>
391471663186294083181551638791860881232950165888876284513<57>

N=56750281131563912430926745151217110063609757578036067742235309925412716808229854248797150582377604181
  ( 101 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=144966510908242952924148738371571398797944437 (pp45)
 r2=391471663186294083181551638791860881232950165888876284513 (pp57)
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: 56750281131563912430926745151217110063609757578036067742235309925412716808229854248797150582377604181
m: 500000000000000000000000000
deg: 4
c4: 146
c0: 55
skew: 0.78
# Murphy_E = 9.842e-08
type: snfs
lss: 1
rlim: 460000
alim: 460000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 460000/460000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [230000, 470001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 50166 x 50391
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,108.000,4,0,0,0,0,0,0,0,0,460000,460000,25,25,44,44,2.2,2.2,20000
total time: 0.01 hours.
 --------- CPU info (if available) ----------

739206860177955914236708105456971303530772071158738618207680251616326531647175833315963997343425829501960382466342335019<120>

12619202139165878500194363536644373353003<41>
58577939557977239362641036338781374980669636556254156750131082326716087170588673<80>

N=739206860177955914236708105456971303530772071158738618207680251616326531647175833315963997343425829501960382466342335019
  ( 120 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=12619202139165878500194363536644373353003 (pp41)
 r2=58577939557977239362641036338781374980669636556254156750131082326716087170588673 (pp80)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 739206860177955914236708105456971303530772071158738618207680251616326531647175833315963997343425829501960382466342335019
m: 100000000000000000000000000000000
deg: 4
c4: 73
c0: 44
skew: 0.88
# Murphy_E = 1.458e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 108600 x 108825
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,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------

6478523251686190983315583954561590344337948171813986510472133475328363507277245296414625488107916222932197373091941782037628683<127>

27374209208489662984229142911532507910724195873<47>
236665220256919166937833593216683502625918155777310926145621356741347231743532971<81>

N=6478523251686190983315583954561590344337948171813986510472133475328363507277245296414625488107916222932197373091941782037628683
  ( 127 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=27374209208489662984229142911532507910724195873 (pp47)
 r2=236665220256919166937833593216683502625918155777310926145621356741347231743532971 (pp81)
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: 6478523251686190983315583954561590344337948171813986510472133475328363507277245296414625488107916222932197373091941782037628683
m: 100000000000000000000000000000000
deg: 4
c4: 365
c0: 22
skew: 0.50
# Murphy_E = 1.031e-08
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 1125001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 149317 x 149542
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,100000
total time: 0.04 hours.
 --------- CPU info (if available) ----------

38749552270967519097262855887046260019071577327209189184192734667556207865407339304154300786008607349817834377141<113>

581614015196379889030052390585382241245925937504595889<54>
66624172145995951566801675988067715865885277267540721747269<59>

N=38749552270967519097262855887046260019071577327209189184192734667556207865407339304154300786008607349817834377141
  ( 113 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=581614015196379889030052390585382241245925937504595889 (pp54)
 r2=66624172145995951566801675988067715865885277267540721747269 (pp59)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 38749552270967519097262855887046260019071577327209189184192734667556207865407339304154300786008607349817834377141
m: 1000000000000000000000000000000000
deg: 4
c4: 73
c0: 44
skew: 0.88
# Murphy_E = 9.295e-09
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139399 x 139624
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,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------

107023482483750121022071802126824754263640179821165129171433739125117905032739531917044058104336327801519<105>

952335354229351975953278013818843566987<39>
112380037146006801974645960825132380496482851094178340121963629037<66>

N=107023482483750121022071802126824754263640179821165129171433739125117905032739531917044058104336327801519
  ( 105 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=952335354229351975953278013818843566987 (pp39)
 r2=112380037146006801974645960825132380496482851094178340121963629037 (pp66)
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: 107023482483750121022071802126824754263640179821165129171433739125117905032739531917044058104336327801519
m: 10000000000000000000000000000000000
deg: 4
c4: 1825
c0: 11
skew: 0.28
# Murphy_E = 5.845e-09
type: snfs
lss: 1
rlim: 1470000
alim: 1470000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1470000/1470000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [735000, 1735001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 177408 x 177633
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,139.000,4,0,0,0,0,0,0,0,0,1470000,1470000,26,26,48,48,2.3,2.3,100000
total time: 0.04 hours.
 --------- CPU info (if available) ----------

95786496607622194055682234859532379872350380711183240076438089686783159975128206575174264103972076572985798015619439580139<122>

325049724201149543721874346066507581639406587126747662571<57>
294682596156725007082238399040916452761782733326524023443617227009<66>

nfs: commencing nfs on c122: 95786496607622194055682234859532379872350380711183240076438089686783159975128206575174264103972076572985798015619439580139
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 3388 seconds
nfs: completed 59 ranges of size 250 in 3380.6880 seconds
nfs: best poly = # norm 1.376940e-011 alpha -6.829142 e 2.419e-010 rroots 3
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: raising min_rels by 5.00 percent to 10766659
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp57 = 325049724201149543721874346066507581639406587126747662571
prp66 = 294682596156725007082238399040916452761782733326524023443617227009
NFS elapsed time = 31664.8513 seconds.

YAFU x64 vR373

Windows 10 v22H2, Intel Xeon E5-1620.

281699851872822624301006663261700636263233262588663694544134624983360594386531140720325150615342493920350988314386710613<120>

7185997403629478061459359682600997055667721020025831107083<58>
39201218153870005996530571403020590506643903879211049608026911<62>

NFS elapsed time = 5598.4474 seconds.
pretesting / nfs ratio was 0.07
Total factoring time = 6014.5685 seconds


***factors found***

P62 = 39201218153870005996530571403020590506643903879211049608026911
P58 = 7185997403629478061459359682600997055667721020025831107083

yafu

2465415403732353350290761667476541613930698850543343952339321689577915976643498655524945293357450201819<103>

17239945920265712047593473355468818819188601<44>
143005982451153474260756228640313112584960389164735519378419<60>

12/24/22 18:35:44, starting SIQS on c103: 2465415403732353350290761667476541613930698850543343952339321689577915976643498655524945293357450201819
12/24/22 18:35:44, random seed: 13498124451854124905
12/24/22 18:35:44, ==== sieve params ====
12/24/22 18:35:44, n = 104 digits, 344 bits
12/24/22 18:35:44, factor base: 141856 primes (max prime = 4006969)
12/24/22 18:35:44, single large prime cutoff: 601045350 (150 * pmax)
12/24/22 18:35:44, double large prime range from 16055800566961 to 17417202329291204
12/24/22 18:35:44, DLP MFB = 1.85
12/24/22 18:35:44, allocating 10 large prime slices of factor base
12/24/22 18:35:44, buckets hold 2048 elements
12/24/22 18:35:44, large prime hashtables have 2129920 bytes
12/24/22 18:35:44, using AVX2 enabled 32k sieve core
12/24/22 18:35:44, sieve interval: 13 blocks of size 32768
12/24/22 18:35:44, polynomial A has ~ 13 factors
12/24/22 18:35:44, using multiplier of 11
12/24/22 18:35:44, using multiplier of 11
12/24/22 18:35:44, using Q2(x) polynomials for kN mod 8 = 1
12/24/22 18:35:44, using SPV correction of 20 bits, starting at offset 28
12/24/22 18:35:44, trial factoring cutoff at 102 bits
12/24/22 18:35:44, ==== sieving started (46 threads) ====
12/24/22 18:41:50, trial division touched 386528300 sieve locations out of 5059924000768
12/24/22 18:41:50, total reports = 386528300, total surviving reports = 100168491
12/24/22 18:41:50, total blocks sieved = 154417770, avg surviving reports per block = 0.65
12/24/22 18:41:50, dlp-ecm: 5 failures, 2518513 attempts, 86466103 outside range, 10645838 prp, 2011653 useful
12/24/22 18:41:50, 143475 relations found: 34564 full + 108911 from 2515126 partial, using 5939101 polys (2916 A polys)
12/24/22 18:41:50, on average, sieving found 0.43 rels/poly and 6967.57 rels/sec
12/24/22 18:41:50, trial division touched 386528300 sieve locations out of 5059924000768
12/24/22 18:41:50, ==== post processing stage (msieve-1.38) ====
12/24/22 18:41:50, QS elapsed time = 365.9392 seconds.
12/24/22 18:41:51, begin singleton removal with 2549690 relations
12/24/22 18:41:52, reduce to 385130 relations in 12 passes
12/24/22 18:41:54, recovered 385130 relations
12/24/22 18:41:54, recovered 372864 polynomials
12/24/22 18:41:55, attempting to build 143475 cycles
12/24/22 18:41:55, found 143475 cycles from 385130 relations in 7 passes
12/24/22 18:41:55, distribution of cycle lengths:
12/24/22 18:41:55,    length 1 : 34564
12/24/22 18:41:55,    length 2 : 23675
12/24/22 18:41:55,    length 3 : 23465
12/24/22 18:41:55,    length 4 : 19369
12/24/22 18:41:55,    length 5 : 14785
12/24/22 18:41:55,    length 6 : 10428
12/24/22 18:41:55,    length 7 : 6871
12/24/22 18:41:55,    length 9+: 10318
12/24/22 18:41:55, largest cycle: 23 relations
12/24/22 18:41:55, matrix is 141856 x 143475 (45.6 MB) with weight 10810861 (75.35/col)
12/24/22 18:41:55, sparse part has weight 10810861 (75.35/col)
12/24/22 18:41:56, filtering completed in 3 passes
12/24/22 18:41:56, matrix is 135478 x 135542 (42.8 MB) with weight 10125439 (74.70/col)
12/24/22 18:41:56, sparse part has weight 10125439 (74.70/col)
12/24/22 18:41:56, saving the first 48 matrix rows for later
12/24/22 18:41:56, matrix is 135430 x 135542 (37.6 MB) with weight 9089248 (67.06/col)
12/24/22 18:41:56, sparse part has weight 8497817 (62.70/col)
12/24/22 18:41:56, matrix includes 64 packed rows
12/24/22 18:41:56, using block size 54216 for processor cache size 131072 kB
12/24/22 18:41:57, commencing Lanczos iteration
12/24/22 18:41:57, memory use: 28.8 MB
12/24/22 18:42:36, lanczos halted after 2143 iterations (dim = 135424)
12/24/22 18:42:36, recovered 14 nontrivial dependencies
12/24/22 18:42:37, prp44 = 17239945920265712047593473355468818819188601
12/24/22 18:42:37, prp60 = 143005982451153474260756228640313112584960389164735519378419
12/24/22 18:42:37, Lanczos elapsed time = 46.4480 seconds.
12/24/22 18:42:37, Sqrt elapsed time = 0.1750 seconds.
12/24/22 18:42:37, SIQS elapsed time = 412.5659 seconds.
12/24/22 18:42:37, 
12/24/22 18:42:37, 

Yafu

23791831253992464833717913619356773175850965361701018160011472225481377188522559870676730937202602109325094189578526079758040335301862932978737273<146>

3250900597360453806046838205621203623919992397785525448144511221706678031<73>
7318535446242212762874955589741632432144736093972208498258902923524769783<73>

Number: n
N=23791831253992464833717913619356773175850965361701018160011472225481377188522559870676730937202602109325094189578526079758040335301862932978737273  ( 146 digits)
SNFS difficulty: 150 digits.
Divisors found:

Sun Dec 25 10:12:16 2022  p73 factor: 3250900597360453806046838205621203623919992397785525448144511221706678031
Sun Dec 25 10:12:16 2022  p73 factor: 7318535446242212762874955589741632432144736093972208498258902923524769783
Sun Dec 25 10:12:16 2022  elapsed time 00:04:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.305).
Factorization parameters were as follows:
#
# N = 73x10^149+44 = 81(148)6
#
n: 23791831253992464833717913619356773175850965361701018160011472225481377188522559870676730937202602109325094189578526079758040335301862932978737273
m: 10000000000000000000000000000000000000
deg: 4
c4: 365
c0: 22
skew: 0.50
# Murphy_E = 1.033e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1354536 hash collisions in 12410857 relations (11410972 unique)
Msieve: matrix is 355561 x 355788 (118.9 MB)

Sieving start time : 2022/12/25 09:22:21
Sieving end time  : 2022/12/25 09:56:32

Total sieving time: 0hrs 34min 11secs.

Total relation processing time: 0hrs 2min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
snfs,150,4,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

50707600019698038653965866808111865338582804172231061384708466765002677031137511635357708275573316269499543645183352162915162269<128>

2595604182875543045367687757979109199<37>
540436662811805067419369041852783245407<39>
36148458907540595722990153359466231071663079598843533<53>

Number: n
N=19535952497780908302566559833089958310965165558464194310570357814570812756423812715733902931  ( 92 digits)
Divisors found:

Fri Dec 30 11:13:44 2022  p39 factor: 540436662811805067419369041852783245407
Fri Dec 30 11:13:44 2022  p53 factor: 36148458907540595722990153359466231071663079598843533
Fri Dec 30 11:13:44 2022  elapsed time 00:02:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 73x10^194+44 = 81(193)6
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 50707600019698038653965866808111865338582804172231061384708466765002677031137511635357708275573316269499543645183352162915162269 (128 digits)
# Using B1=25260000, B2=96190324246, polynomial Dickson(12), sigma=1:281300874
# Step 1 took 39980ms
# Step 2 took 15691ms
# ********** Factor found in step 2: 2595604182875543045367687757979109199
# Found prime factor of 37 digits: 2595604182875543045367687757979109199
# Composite cofactor 19535952497780908302566559833089958310965165558464194310570357814570812756423812715733902931 has 92 digits
#

n: 19535952497780908302566559833089958310965165558464194310570357814570812756423812715733902931

Y0: -12349199823254062036585
Y1: 114115881463
c0: -23244590184671989254716364
c1: -396767338576036971857
c2: -422225175491150
c3: 6787692
c4: 840

# skew 736682.85, size 1.278e-12, alpha -5.078, combined = 3.714e-08 rroots = 2

skew: 736682.85

type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 459882 hash collisions in 7722784 relations (7824472 unique)
Msieve: matrix is 120331 x 120557 (41.8 MB)

Sieving start time : 2022/12/30 11:14:48
Sieving end time  : 2022/12/30 11:11:05

Total sieving time: 0hrs -4min 17secs.

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

Prototype def-par.txt line would be:
gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,40000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

99890530925013683634373289545703338806787082649151614668856048166392993979200875752599890530925013683634373289545703338806787082649151614668856048166393<152>

1244015077793124825019647866857559723334591443<46>
80296881210008223859381783294559545476255732660364316366330779855167185540149203715003032052314596538059651<107>

Number: n
N=99890530925013683634373289545703338806787082649151614668856048166392993979200875752599890530925013683634373289545703338806787082649151614668856048166393  ( 152 digits)
SNFS difficulty: 155 digits.
Divisors found:

Wed Dec 28 15:03:34 2022  p46 factor: 1244015077793124825019647866857559723334591443
Wed Dec 28 15:03:34 2022  p107 factor: 80296881210008223859381783294559545476255732660364316366330779855167185540149203715003032052314596538059651
Wed Dec 28 15:03:34 2022  elapsed time 00:06:38 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 73x10^154+44 = 81(153)6
#
n: 99890530925013683634373289545703338806787082649151614668856048166392993979200875752599890530925013683634373289545703338806787082649151614668856048166393
m: 100000000000000000000000000000000000000
deg: 4
c4: 1825
c0: 11
skew: 0.28
# Murphy_E = 9.015e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1359482 hash collisions in 12860056 relations (12795015 unique)
Msieve: matrix is 381827 x 382052 (131.8 MB)

Sieving start time : 2022/12/28 14:27:01
Sieving end time  : 2022/12/28 14:56:38

Total sieving time: 0hrs 29min 37secs.

Total relation processing time: 0hrs 2min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 20sec.

Prototype def-par.txt line would be:
snfs,155,4,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1151775526522537933499660121100152572738550023128758729940287245388476375306891154110241288660983707275868058126872259<118>

26423142972563798742366925232188689332439904829<47>
43589648957297484066965447663579805966733843891777314833547785454908671<71>

1151775526522537933499660121100152572738550023128758729940287245388476375306891154110241288660983707275868058126872259=26423142972563798742366925232188689332439904829*43589648957297484066965447663579805966733843891777314833547785454908671

cado polynomial
n: 1151775526522537933499660121100152572738550023128758729940287245388476375306891154110241288660983707275868058126872259
skew: 0.90
type: snfs
c0: 44
c5: 73
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 74*x^5+44
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2900000
tasks.lim1 = 2900000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 26423142972563798742366925232188689332439904829 43589648957297484066965447663579805966733843891777314833547785454908671
Info:Square Root: Total cpu/real time for sqrt: 55.41/17.8358
Info:Generate Factor Base: Total cpu/real time for makefb: 1.26/0.730892
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.33/42.2328
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.44/74.4105
Info:Filtering - Merging: Merged matrix has 309102 rows and total weight 52716319 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 62.55/17.4916
Info:Filtering - Merging: Total cpu/real time for replay: 9.31/7.95142
Info:Quadratic Characters: Total cpu/real time for characters: 9.5/3.81935
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11657345
Info:Lattice Sieving: Average J: 1894.82 for 218334 special-q, max bucket fill -bkmult 1.0,1s:1.231120
Info:Lattice Sieving: Total time: 26139.3s
Info:Linear Algebra: Total cpu/real time for bwc: 1389.79/370.85
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 850.51, WCT time 224.56, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9728 iterations)
Info:Linear Algebra: Lingen CPU time 47.66, WCT time 12.35
Info:Linear Algebra: Mksol: CPU time 463.51,  WCT time 122.41, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4864 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.55/17.4403
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.14/89.3076
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 81.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 49770.3/13891.1
Info:root: Cleaning up computation data in /tmp/cado.el7ic682
26423142972563798742366925232188689332439904829 43589648957297484066965447663579805966733843891777314833547785454908671

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)

20277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<158>

211473699388965849339242603538195798816211650542834351320668846465741227<72>
95887941793086255406343107903991099663226429037062797909009392680924548771464681637977<86>

Number: 81116_157
N = 20277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779 (158 digits)
SNFS difficulty: 159 digits.
Divisors found:
r1=211473699388965849339242603538195798816211650542834351320668846465741227 (pp72)
r2=95887941793086255406343107903991099663226429037062797909009392680924548771464681637977 (pp86)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 4.70 hours.
Factorization parameters were as follows:
n: 20277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
m: 10000000000000000000000000000000
deg: 5
c5: 1825
c0: 11
skew: 0.36
# Murphy_E = 6.34e-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
Sieved rational special-q in [0, 0)
Total raw relations: 8507429
Relations: 867398 relations
Pruned matrix : 513265 x 513490
Total sieving time: 4.39 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,159,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 4.70 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

130018382693370131365254079676348150129260865180274299329103013773537591126493382714931693382509332351669515521<111>

535135329083916152399722783196651<33>
242963556369834749858842509022245462344944497808067269391778581131686827858371<78>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2961682666
Step 1 took 3500ms
Step 2 took 2125ms
********** Factor found in step 2: 535135329083916152399722783196651
Found prime factor of 33 digits: 535135329083916152399722783196651
Prime cofactor 242963556369834749858842509022245462344944497808067269391778581131686827858371 has 78 digits
 

GMP-ECM

42861504497522252753704877991498156368162709316799361187439817750534300946475962328847553958524155099931891307921745461377674440451865943305385283825359919209<158>

191717908136361656356409907366539640263<39>
223565471343639399493054741020000909501073567105174114269598330124846515700315177675590454686456728039018213334364043343<120>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 42861504497522252753704877991498156368162709316799361187439817750534300946475962328847553958524155099931891307921745461377674440451865943305385283825359919209 (158 digits)
Using B1=25130000, B2=96190324246, polynomial Dickson(12), sigma=1:3417341903
Step 1 took 60311ms
Step 2 took 19696ms
********** Factor found in step 2: 191717908136361656356409907366539640263
Found prime factor of 39 digits: 191717908136361656356409907366539640263
Prime cofactor 223565471343639399493054741020000909501073567105174114269598330124846515700315177675590454686456728039018213334364043343 has 120 digits

966480060114367443002064323462765819953331909362440493089989444232724795556423512445736195360470720965356900402718659729843140245072146079<138>

7681701771269741520364532492859608664326866419709552351908722776601<67>
125815878940925585762438874790919926582512748730072609441355588062434679<72>

Number: n
N=966480060114367443002064323462765819953331909362440493089989444232724795556423512445736195360470720965356900402718659729843140245072146079  ( 138 digits)
SNFS difficulty: 163 digits.
Divisors found:

Wed Jan  4 18:19:32 2023  p67 factor: 7681701771269741520364532492859608664326866419709552351908722776601
Wed Jan  4 18:19:32 2023  p72 factor: 125815878940925585762438874790919926582512748730072609441355588062434679
Wed Jan  4 18:19:32 2023  elapsed time 00:10:40 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 73x10^162+44 = 81(161)6
#
n: 966480060114367443002064323462765819953331909362440493089989444232724795556423512445736195360470720965356900402718659729843140245072146079
m: 100000000000000000000000000000000
deg: 5
c5: 1825
c0: 11
skew: 0.36
# Murphy_E = 4.058e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1277053 hash collisions in 12949655 relations (12473106 unique)
Msieve: matrix is 491938 x 492164 (170.3 MB)

Sieving start time : 2023/01/04 17:35:45
Sieving end time  : 2023/01/04 18:08:34

Total sieving time: 0hrs 32min 49secs.

Total relation processing time: 0hrs 3min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 2sec.

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

100110696386566433018586289380101754296050339306084713004478023224911106152633088121937143498125202357287503678362761892092043413681485647<138>

117109007265678901360717014368047176901453<42>
854850525369501976998107890810429708803560114756539264183554332609212689923194819496925902290699<96>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 100110696386566433018586289380101754296050339306084713004478023224911106152633088121937143498125202357287503678362761892092043413681485647 (138 digits)
Using B1=29190000, B2=144288594466, polynomial Dickson(12), sigma=1:721830345
Step 1 took 58875ms
Step 2 took 22079ms
********** Factor found in step 2: 117109007265678901360717014368047176901453
Found prime factor of 42 digits: 117109007265678901360717014368047176901453
Prime cofactor 854850525369501976998107890810429708803560114756539264183554332609212689923194819496925902290699 has 96 digits

2010978983760567255849903002349319019161028202558807248777148274945794190803091091609932665641906778239789731428219149<118>

7293280889196624386758762776719770837418858945932657<52>
275730362550465584077224805944432470697151059437905970769584056157<66>

2010978983760567255849903002349319019161028202558807248777148274945794190803091091609932665641906778239789731428219149=7293280889196624386758762776719770837418858945932657*275730362550465584077224805944432470697151059437905970769584056157

cado polynomial
n: 2010978983760567255849903002349319019161028202558807248777148274945794190803091091609932665641906778239789731428219149
skew: 32841.802
c0: -781549001223085798022320512
c1: -45454151614978853888018
c2: 3617101815909925039
c3: 8163798436279
c4: -636307578
c5: 23400
Y0: -55303057879468358172255
Y1: 6569103530744623
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.907e-06
# f(x) = 23400*x^5-636307578*x^4+8163798436279*x^3+3617101815909925039*x^2-45454151614978853888018*x-781549001223085798022320512
# g(x) = 6569103530744623*x-55303057879468358172255

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: 7293280889196624386758762776719770837418858945932657 275730362550465584077224805944432470697151059437905970769584056157
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 138.78/41.3347
Info:HTTP server: Got notification to stop serving Workunits
Info:Quadratic Characters: Total cpu/real time for characters: 15.28/6.11177
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.44/48.7378
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 48.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.32/56.9298
Info:Filtering - Merging: Merged matrix has 512139 rows and total weight 51880255 (101.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 39.86/12.6761
Info:Filtering - Merging: Total cpu/real time for replay: 11.54/9.49692
Info:Generate Factor Base: Total cpu/real time for makefb: 4.85/1.30637
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13460129
Info:Lattice Sieving: Average J: 1896.48 for 180365 special-q, max bucket fill -bkmult 1.0,1s:1.257730
Info:Lattice Sieving: Total time: 22517.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 139.81/149.479
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 133.7s
Info:Linear Algebra: Total cpu/real time for bwc: 2757.73/768.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1700.52, WCT time 444.23, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16128 iterations)
Info:Linear Algebra: Lingen CPU time 57.02, WCT time 58.87
Info:Linear Algebra: Mksol: CPU time 964.0,  WCT time 251.47, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8064 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1214.41
Info:Polynomial Selection (root optimized): Rootsieve time: 1211.91
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21457.7
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14659/34.360/41.859/46.890/1.025
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11394/32.600/36.960/42.120/0.766
Info:Polynomial Selection (size optimized): Total time: 2153.45
Info:Square Root: Total cpu/real time for sqrt: 138.78/41.3347
Info:Generate Free Relations: Total cpu/real time for freerel: 124.98/33.7891
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 48843.2/13469.7
Info:root: Cleaning up computation data in /tmp/cado.8oabspyy
7293280889196624386758762776719770837418858945932657 275730362550465584077224805944432470697151059437905970769584056157

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)

4560489852893230279654071912622835017045295841993604338396205602617615790972889128140710934793941321895712217804526234624666867160380539890427448482051939<154>

6283417996195707423326118780103087058828090507985121693407629<61>
725797624104329330501601520452536271112324990018153719638301158088515208129375883671226761391<93>

Number: n
N=4560489852893230279654071912622835017045295841993604338396205602617615790972889128140710934793941321895712217804526234624666867160380539890427448482051939  ( 154 digits)
SNFS difficulty: 173 digits.
Divisors found:

Tue Jan  3 00:58:53 2023  p61 factor: 6283417996195707423326118780103087058828090507985121693407629
Tue Jan  3 00:58:53 2023  p93 factor: 725797624104329330501601520452536271112324990018153719638301158088515208129375883671226761391
Tue Jan  3 00:58:53 2023  elapsed time 00:12:30 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 73x10^172+44 = 81(171)6
#
n: 4560489852893230279654071912622835017045295841993604338396205602617615790972889128140710934793941321895712217804526234624666867160380539890427448482051939
m: 10000000000000000000000000000000000
deg: 5
c5: 1825
c0: 11
skew: 0.36
# Murphy_E = 1.638e-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, 15500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1775644 hash collisions in 13998377 relations (12997682 unique)
Msieve: matrix is 749492 x 749717 (261.2 MB)

Sieving start time : 2023/01/02 23:41:50
Sieving end time  : 2023/01/03 00:45:54

Total sieving time: 1hrs 4min 4secs.

Total relation processing time: 0hrs 8min 10sec.
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) ----------

20959643351052797629797224409804668427890828432391592718164009297525889814718272105309417721159754184131103627290062193461228813271107<134>

38925033883870519494595705486752598666283368999567<50>
538461788205094062758322355200851326564627474747176385222019698036058951779499620621<84>

Number: n
N=20959643351052797629797224409804668427890828432391592718164009297525889814718272105309417721159754184131103627290062193461228813271107  ( 134 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sun Feb  5 21:18:08 2023  prp50 factor: 38925033883870519494595705486752598666283368999567
Sun Feb  5 21:18:08 2023  prp84 factor: 538461788205094062758322355200851326564627474747176385222019698036058951779499620621
Sun Feb  5 21:18:08 2023  elapsed time 00:33:29 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 73x10^175+44 = 81(174)6
#
n: 20959643351052797629797224409804668427890828432391592718164009297525889814718272105309417721159754184131103627290062193461228813271107
m: 100000000000000000000000000000000000
deg: 5
c5: 73
c0: 44
skew: 0.90
# Murphy_E = 1.248e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 56050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1355316 hash collisions in 12821530 relations (12226773 unique)
Msieve: matrix is 1023725 x 1023950 (288.9 MB)

Sieving start time: 2023/02/05 14:16:25
Sieving end time  : 2023/02/05 20:44:25

Total sieving time: 6hrs 28min 0secs.

Total relation processing time: 0hrs 29min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 6sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3392262254650128455692375340047540838563840188204815405589232074703860930330783552644745103103027438054615084116387202561182199<127>

142163048329080301981108394021925008979762481418044548399882587<63>
23861772060470237668430227113685605362956764136009025555829629077<65>

Sat Apr 08 21:36:50 2023  
Sat Apr 08 21:36:50 2023  
Sat Apr 08 21:36:50 2023  Msieve v. 1.54 (SVN Unversioned directory)
Sat Apr 08 21:36:50 2023  random seeds: da31fbcc 563827bb
Sat Apr 08 21:36:50 2023  factoring 3392262254650128455692375340047540838563840188204815405589232074703860930330783552644745103103027438054615084116387202561182199 (127 digits)
Sat Apr 08 21:36:50 2023  searching for 15-digit factors
Sat Apr 08 21:36:50 2023  commencing number field sieve (127-digit input)
Sat Apr 08 21:36:50 2023  R0: -100000000000000000000000000000000000
Sat Apr 08 21:36:50 2023  R1: 1
Sat Apr 08 21:36:50 2023  A0: 22
Sat Apr 08 21:36:50 2023  A1: 0
Sat Apr 08 21:36:50 2023  A2: 0
Sat Apr 08 21:36:50 2023  A3: 0
Sat Apr 08 21:36:50 2023  A4: 0
Sat Apr 08 21:36:50 2023  A5: 365
Sat Apr 08 21:36:50 2023  skew 0.57, size 1.224e-012, alpha 1.286, combined = 9.546e-011 rroots = 1
Sat Apr 08 21:36:50 2023  
Sat Apr 08 21:36:50 2023  commencing relation filtering
Sat Apr 08 21:36:50 2023  estimated available RAM is 15734.8 MB
Sat Apr 08 21:36:50 2023  commencing duplicate removal, pass 1
Sat Apr 08 21:37:19 2023  error -15 reading relation 5026439
Sat Apr 08 21:37:19 2023  error -15 reading relation 5026667
Sat Apr 08 21:37:19 2023  error -15 reading relation 5026804
Sat Apr 08 21:38:01 2023  error -9 reading relation 12220055
Sat Apr 08 21:38:01 2023  error -9 reading relation 12220146
Sat Apr 08 21:38:01 2023  error -9 reading relation 12220237
Sat Apr 08 21:38:01 2023  error -9 reading relation 12220283
Sat Apr 08 21:38:01 2023  error -15 reading relation 12220328
Sat Apr 08 21:38:21 2023  error -9 reading relation 15062556
Sat Apr 08 21:38:21 2023  error -5 reading relation 15064917
Sat Apr 08 21:38:21 2023  error -11 reading relation 15066117
Sat Apr 08 21:38:21 2023  error -2 reading relation 15071839
Sat Apr 08 21:38:44 2023  skipped 15 relations with composite factors
Sat Apr 08 21:38:44 2023  found 2499379 hash collisions in 18924166 relations
Sat Apr 08 21:38:57 2023  added 1291 free relations
Sat Apr 08 21:38:57 2023  commencing duplicate removal, pass 2
Sat Apr 08 21:39:04 2023  found 2220780 duplicates and 16704677 unique relations
Sat Apr 08 21:39:04 2023  memory use: 98.6 MB
Sat Apr 08 21:39:04 2023  reading ideals above 720000
Sat Apr 08 21:39:04 2023  commencing singleton removal, initial pass
Sat Apr 08 21:40:39 2023  memory use: 376.5 MB
Sat Apr 08 21:40:39 2023  reading all ideals from disk
Sat Apr 08 21:40:39 2023  memory use: 509.3 MB
Sat Apr 08 21:40:40 2023  commencing in-memory singleton removal
Sat Apr 08 21:40:41 2023  begin with 16704677 relations and 19097513 unique ideals
Sat Apr 08 21:40:47 2023  reduce to 5863027 relations and 5652271 ideals in 17 passes
Sat Apr 08 21:40:47 2023  max relations containing the same ideal: 87
Sat Apr 08 21:40:50 2023  removing 469834 relations and 431552 ideals in 38282 cliques
Sat Apr 08 21:40:50 2023  commencing in-memory singleton removal
Sat Apr 08 21:40:50 2023  begin with 5393193 relations and 5652271 unique ideals
Sat Apr 08 21:40:53 2023  reduce to 5358052 relations and 5185216 ideals in 13 passes
Sat Apr 08 21:40:53 2023  max relations containing the same ideal: 83
Sat Apr 08 21:40:55 2023  removing 344029 relations and 305747 ideals in 38282 cliques
Sat Apr 08 21:40:55 2023  commencing in-memory singleton removal
Sat Apr 08 21:40:55 2023  begin with 5014023 relations and 5185216 unique ideals
Sat Apr 08 21:40:58 2023  reduce to 4993455 relations and 4858750 ideals in 10 passes
Sat Apr 08 21:40:58 2023  max relations containing the same ideal: 82
Sat Apr 08 21:41:00 2023  relations with 0 large ideals: 2819
Sat Apr 08 21:41:00 2023  relations with 1 large ideals: 1495
Sat Apr 08 21:41:00 2023  relations with 2 large ideals: 23832
Sat Apr 08 21:41:00 2023  relations with 3 large ideals: 164055
Sat Apr 08 21:41:00 2023  relations with 4 large ideals: 593945
Sat Apr 08 21:41:00 2023  relations with 5 large ideals: 1221813
Sat Apr 08 21:41:00 2023  relations with 6 large ideals: 1508022
Sat Apr 08 21:41:00 2023  relations with 7+ large ideals: 1477474
Sat Apr 08 21:41:00 2023  commencing 2-way merge
Sat Apr 08 21:41:03 2023  reduce to 2835703 relation sets and 2700999 unique ideals
Sat Apr 08 21:41:03 2023  ignored 1 oversize relation sets
Sat Apr 08 21:41:03 2023  commencing full merge
Sat Apr 08 21:41:46 2023  memory use: 319.0 MB
Sat Apr 08 21:41:46 2023  found 1279743 cycles, need 1277199
Sat Apr 08 21:41:46 2023  weight of 1277199 cycles is about 115249504 (90.24/cycle)
Sat Apr 08 21:41:46 2023  distribution of cycle lengths:
Sat Apr 08 21:41:46 2023  1 relations: 139833
Sat Apr 08 21:41:46 2023  2 relations: 121639
Sat Apr 08 21:41:46 2023  3 relations: 119056
Sat Apr 08 21:41:46 2023  4 relations: 109276
Sat Apr 08 21:41:46 2023  5 relations: 101336
Sat Apr 08 21:41:46 2023  6 relations: 90260
Sat Apr 08 21:41:46 2023  7 relations: 80618
Sat Apr 08 21:41:46 2023  8 relations: 69741
Sat Apr 08 21:41:46 2023  9 relations: 61740
Sat Apr 08 21:41:46 2023  10+ relations: 383700
Sat Apr 08 21:41:46 2023  heaviest cycle: 28 relations
Sat Apr 08 21:41:47 2023  commencing cycle optimization
Sat Apr 08 21:41:48 2023  start with 9668324 relations
Sat Apr 08 21:42:05 2023  pruned 266983 relations
Sat Apr 08 21:42:05 2023  memory use: 297.6 MB
Sat Apr 08 21:42:05 2023  distribution of cycle lengths:
Sat Apr 08 21:42:05 2023  1 relations: 139833
Sat Apr 08 21:42:05 2023  2 relations: 124399
Sat Apr 08 21:42:05 2023  3 relations: 123182
Sat Apr 08 21:42:05 2023  4 relations: 112200
Sat Apr 08 21:42:05 2023  5 relations: 104281
Sat Apr 08 21:42:05 2023  6 relations: 91993
Sat Apr 08 21:42:05 2023  7 relations: 81599
Sat Apr 08 21:42:05 2023  8 relations: 70449
Sat Apr 08 21:42:05 2023  9 relations: 62142
Sat Apr 08 21:42:05 2023  10+ relations: 367121
Sat Apr 08 21:42:05 2023  heaviest cycle: 28 relations
Sat Apr 08 21:42:06 2023  RelProcTime: 316
Sat Apr 08 21:42:06 2023  elapsed time 00:05:16
Sat Apr 08 21:42:06 2023  
Sat Apr 08 21:42:06 2023  
Sat Apr 08 21:42:06 2023  Msieve v. 1.54 (SVN Unversioned directory)
Sat Apr 08 21:42:06 2023  random seeds: 9fce3158 db6157d0
Sat Apr 08 21:42:06 2023  factoring 3392262254650128455692375340047540838563840188204815405589232074703860930330783552644745103103027438054615084116387202561182199 (127 digits)
Sat Apr 08 21:42:06 2023  searching for 15-digit factors
Sat Apr 08 21:42:07 2023  commencing number field sieve (127-digit input)
Sat Apr 08 21:42:07 2023  R0: -100000000000000000000000000000000000
Sat Apr 08 21:42:07 2023  R1: 1
Sat Apr 08 21:42:07 2023  A0: 22
Sat Apr 08 21:42:07 2023  A1: 0
Sat Apr 08 21:42:07 2023  A2: 0
Sat Apr 08 21:42:07 2023  A3: 0
Sat Apr 08 21:42:07 2023  A4: 0
Sat Apr 08 21:42:07 2023  A5: 365
Sat Apr 08 21:42:07 2023  skew 0.57, size 1.224e-012, alpha 1.286, combined = 9.546e-011 rroots = 1
Sat Apr 08 21:42:07 2023  
Sat Apr 08 21:42:07 2023  commencing linear algebra
Sat Apr 08 21:42:07 2023  read 1277199 cycles
Sat Apr 08 21:42:09 2023  cycles contain 4833079 unique relations
Sat Apr 08 21:42:28 2023  read 4833079 relations
Sat Apr 08 21:42:35 2023  using 20 quadratic characters above 4294917295
Sat Apr 08 21:42:50 2023  building initial matrix
Sat Apr 08 21:43:26 2023  memory use: 579.7 MB
Sat Apr 08 21:43:27 2023  read 1277199 cycles
Sat Apr 08 21:43:27 2023  matrix is 1277022 x 1277199 (471.3 MB) with weight 137879459 (107.95/col)
Sat Apr 08 21:43:27 2023  sparse part has weight 109504125 (85.74/col)
Sat Apr 08 21:43:37 2023  filtering completed in 2 passes
Sat Apr 08 21:43:37 2023  matrix is 1276563 x 1276739 (471.3 MB) with weight 137860873 (107.98/col)
Sat Apr 08 21:43:37 2023  sparse part has weight 109497140 (85.76/col)
Sat Apr 08 21:43:39 2023  matrix starts at (0, 0)
Sat Apr 08 21:43:39 2023  matrix is 1276563 x 1276739 (471.3 MB) with weight 137860873 (107.98/col)
Sat Apr 08 21:43:39 2023  sparse part has weight 109497140 (85.76/col)
Sat Apr 08 21:43:39 2023  saving the first 112 matrix rows for later
Sat Apr 08 21:43:40 2023  matrix includes 128 packed rows
Sat Apr 08 21:43:40 2023  matrix is 1276451 x 1276739 (430.3 MB) with weight 104404054 (81.77/col)
Sat Apr 08 21:43:40 2023  sparse part has weight 97467479 (76.34/col)
Sat Apr 08 21:43:40 2023  using block size 8192 and superblock size 393216 for processor cache size 8192 kB
Sat Apr 08 21:43:44 2023  commencing Lanczos iteration (10 threads)
Sat Apr 08 21:43:44 2023  memory use: 486.3 MB
Sat Apr 08 21:43:46 2023  linear algebra at 0.1%, ETA 0h27m
Sat Apr 08 21:43:47 2023  checkpointing every 2450000 dimensions
Sat Apr 08 22:14:45 2023  lanczos halted after 10035 iterations (dim = 1276447)
Sat Apr 08 22:14:47 2023  recovered 36 nontrivial dependencies
Sat Apr 08 22:14:47 2023  BLanczosTime: 1960
Sat Apr 08 22:14:47 2023  elapsed time 00:32:41
Sat Apr 08 22:14:47 2023  
Sat Apr 08 22:14:47 2023  
Sat Apr 08 22:14:47 2023  Msieve v. 1.54 (SVN Unversioned directory)
Sat Apr 08 22:14:47 2023  random seeds: 80d220a8 3d4731e4
Sat Apr 08 22:14:47 2023  factoring 3392262254650128455692375340047540838563840188204815405589232074703860930330783552644745103103027438054615084116387202561182199 (127 digits)
Sat Apr 08 22:14:48 2023  searching for 15-digit factors
Sat Apr 08 22:14:48 2023  commencing number field sieve (127-digit input)
Sat Apr 08 22:14:48 2023  R0: -100000000000000000000000000000000000
Sat Apr 08 22:14:48 2023  R1: 1
Sat Apr 08 22:14:48 2023  A0: 22
Sat Apr 08 22:14:48 2023  A1: 0
Sat Apr 08 22:14:48 2023  A2: 0
Sat Apr 08 22:14:48 2023  A3: 0
Sat Apr 08 22:14:48 2023  A4: 0
Sat Apr 08 22:14:48 2023  A5: 365
Sat Apr 08 22:14:48 2023  skew 0.57, size 1.224e-012, alpha 1.286, combined = 9.546e-011 rroots = 1
Sat Apr 08 22:14:48 2023  
Sat Apr 08 22:14:48 2023  commencing square root phase
Sat Apr 08 22:14:48 2023  reading relations for dependency 1
Sat Apr 08 22:14:48 2023  read 639543 cycles
Sat Apr 08 22:14:49 2023  cycles contain 2417416 unique relations
Sat Apr 08 22:15:01 2023  read 2417416 relations
Sat Apr 08 22:15:09 2023  multiplying 2417416 relations
Sat Apr 08 22:16:04 2023  multiply complete, coefficients have about 72.90 million bits
Sat Apr 08 22:16:04 2023  initial square root is modulo 170881
Sat Apr 08 22:17:08 2023  GCD is N, no factor found
Sat Apr 08 22:17:08 2023  reading relations for dependency 2
Sat Apr 08 22:17:08 2023  read 638504 cycles
Sat Apr 08 22:17:09 2023  cycles contain 2416316 unique relations
Sat Apr 08 22:17:22 2023  read 2416316 relations
Sat Apr 08 22:17:29 2023  multiplying 2416316 relations
Sat Apr 08 22:18:25 2023  multiply complete, coefficients have about 72.86 million bits
Sat Apr 08 22:18:25 2023  initial square root is modulo 169951
Sat Apr 08 22:19:32 2023  sqrtTime: 284
Sat Apr 08 22:19:32 2023  p63 factor: 142163048329080301981108394021925008979762481418044548399882587
Sat Apr 08 22:19:32 2023  p65 factor: 23861772060470237668430227113685605362956764136009025555829629077
Sat Apr 08 22:19:32 2023  elapsed time 00:04:45

7295657319245528786273624872372868242289165877737390454406373297687558456455533583875231699183482415190962156439356001217945397681269705084003177<145>

1324853330908942136840218862017943459439965911<46>
5506766031406810218462134989047860759415164935358017377562270543741231275957786967333323194331983807<100>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7295657319245528786273624872372868242289165877737390454406373297687558456455533583875231699183482415190962156439356001217945397681269705084003177 (145 digits)
Using B1=34270000, B2=144293429296, polynomial Dickson(12), sigma=1:2452035399
Step 1 took 66915ms
Step 2 took 21546ms
********** Factor found in step 2: 1324853330908942136840218862017943459439965911
Found prime factor of 46 digits: 1324853330908942136840218862017943459439965911
Prime cofactor 5506766031406810218462134989047860759415164935358017377562270543741231275957786967333323194331983807 has 100 digits

2976855764215485254868252536682774637998448376956151149773686596954020951969567854304272080475013027154374521326375028769846630653119273931655646183509781327<157>

36829084779458361963083098094993453552014765679<47>
80828936750441434170655002176954040105888662107206279536416569542922138158434959804196412625317246636705972513<110>

Number: n
N=2976855764215485254868252536682774637998448376956151149773686596954020951969567854304272080475013027154374521326375028769846630653119273931655646183509781327  ( 157 digits)
SNFS difficulty: 182 digits.
Divisors found:

Tue Jan 10 09:41:54 2023  prp47 factor: 36829084779458361963083098094993453552014765679
Tue Jan 10 09:41:54 2023  prp110 factor: 80828936750441434170655002176954040105888662107206279536416569542922138158434959804196412625317246636705972513
Tue Jan 10 09:41:54 2023  elapsed time 00:48:27 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.108).
Factorization parameters were as follows:
#
# N = 73x10^181+44 = 81(180)6
#
n: 2976855764215485254868252536682774637998448376956151149773686596954020951969567854304272080475013027154374521326375028769846630653119273931655646183509781327
m: 1000000000000000000000000000000000000
deg: 5
c5: 365
c0: 22
skew: 0.57
# Murphy_E = 5.999e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 36400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1480246 hash collisions in 14341662 relations (13757796 unique)
Msieve: matrix is 1240586 x 1240811 (348.3 MB)

Sieving start time: 2023/01/09 19:06:00
Sieving end time  : 2023/01/10 08:53:14

Total sieving time: 13hrs 47min 14secs.

Total relation processing time: 0hrs 43min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7200000,7200000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

12934616308356886915257801680381718742034358295718228802958102098716977490457779176275580498315271541432258639652157053514533345515261284458712637412845403601880277886021025761<176>

47574063832486457297969460697491027082850267563617169<53>
271883780076074688910764887161700645201308192666850812778474800410484709838416026860807955564889371198261396075154443781969<123>

Number: n
N=12934616308356886915257801680381718742034358295718228802958102098716977490457779176275580498315271541432258639652157053514533345515261284458712637412845403601880277886021025761  ( 176 digits)
SNFS difficulty: 183 digits.
Divisors found:

Thu Dec 29 01:55:17 2022  p53 factor: 47574063832486457297969460697491027082850267563617169
Thu Dec 29 01:55:17 2022  p123 factor: 271883780076074688910764887161700645201308192666850812778474800410484709838416026860807955564889371198261396075154443781969
Thu Dec 29 01:55:17 2022  elapsed time 00:15:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.287).
Factorization parameters were as follows:
#
# N = 73x10^182+44 = 81(181)6
#
n: 12934616308356886915257801680381718742034358295718228802958102098716977490457779176275580498315271541432258639652157053514533345515261284458712637412845403601880277886021025761
m: 1000000000000000000000000000000000000
deg: 5
c5: 1825
c0: 11
skew: 0.36
# Murphy_E = 6.493e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 16750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2083847 hash collisions in 15299217 relations (14047392 unique)
Msieve: matrix is 848714 x 848939 (291.6 MB)

Sieving start time : 2022/12/28 21:48:44
Sieving end time  : 2022/12/29 01:39:14

Total sieving time: 3hrs 50min 30secs.

Total relation processing time: 0hrs 10min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

128246281991882399669446975436193152258494579293801454016524586727721977450711241924045546170618664981451526786307376104125889643992228568397418031007287<153>

200328298474569685902100500551788259948062880712607555542427<60>
640180558455461510098824469784965339089181982950037755503779220399219863327670557624287564181<93>

Number: n
N=128246281991882399669446975436193152258494579293801454016524586727721977450711241924045546170618664981451526786307376104125889643992228568397418031007287  ( 153 digits)
SNFS difficulty: 185 digits.
Divisors found:

Mon Mar 27 16:53:30 2023  prp60 factor: 200328298474569685902100500551788259948062880712607555542427
Mon Mar 27 16:53:30 2023  prp93 factor: 640180558455461510098824469784965339089181982950037755503779220399219863327670557624287564181
Mon Mar 27 16:53:30 2023  elapsed time 01:24:29 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
#
# N = 73x10^184+44 = 81(183)6
#
n: 128246281991882399669446975436193152258494579293801454016524586727721977450711241924045546170618664981451526786307376104125889643992228568397418031007287
m: 5000000000000000000000000000000000000
deg: 5
c5: 292
c0: 55
skew: 0.72
# Murphy_E = 4.127e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15665333)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1431926 hash collisions in 12616416 relations (11914418 unique)
Msieve: matrix is 1634208 x 1634432 (464.8 MB)

Sieving start time: 2023/03/27 09:35:05
Sieving end time  : 2023/03/27 15:28:47

Total sieving time: 5hrs 53min 42secs.

Total relation processing time: 1hrs 16min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 40sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8800000,8800000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2391050005044132887353376228115341631914556319381392783352527241593002674045512490452177034652537853924531911018875538313792231511287721270387795556708500215522041550553347928564597<181>

188150328325479783124858487617906911900180214272272621717<57>
12708189384117758023260524921301831975886149178872790183183307036890272763336342480800688164077088512527533384218966704332641<125>

Number: n
N=2391050005044132887353376228115341631914556319381392783352527241593002674045512490452177034652537853924531911018875538313792231511287721270387795556708500215522041550553347928564597  ( 181 digits)
SNFS difficulty: 186 digits.
Divisors found:

Thu Dec 29 22:40:32 2022  p57 factor: 188150328325479783124858487617906911900180214272272621717
Thu Dec 29 22:40:32 2022  p125 factor: 12708189384117758023260524921301831975886149178872790183183307036890272763336342480800688164077088512527533384218966704332641
Thu Dec 29 22:40:32 2022  elapsed time 00:41:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.287).
Factorization parameters were as follows:
#
# N = 73x10^185+44 = 81(184)6
#
n: 2391050005044132887353376228115341631914556319381392783352527241593002674045512490452177034652537853924531911018875538313792231511287721270387795556708500215522041550553347928564597
m: 10000000000000000000000000000000000000
deg: 5
c5: 73
c0: 44
skew: 0.90
# Murphy_E = 4.91e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 10233569)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1246003 hash collisions in 12279042 relations (11781054 unique)
Msieve: matrix is 1401319 x 1401544 (490.6 MB)

Sieving start time : 2022/12/29 19:06:47
Sieving end time  : 2022/12/29 21:58:59

Total sieving time: 2hrs 52min 12secs.

Total relation processing time: 0hrs 35min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 57sec.

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

13737293142475954120341410645833051974766582625992978532319707000013664446150232693649124386170755971238305704641444497356682536872193807211216464312849795257396901<164>

49298931708933870249203792851634928439661<41>

278652957909562668065290591521978000703170178004143121101228372240385122901954947701190322122407277344364185284042741122841<123>

echo 13737293142475954120341410645833051974766582625992978532319707000013664446150232693649124386170755971238305704641444497356682536872193807211216464312849795257396901 | ./ecm -v -cgbn -savea resume.txt 43e6 1
GMP-ECM 7.0.6-dev [configured with GMP 6.2.99, --enable-asm-redc, --enable-gpu, --enable-assert, --enable-openmp] [ECM]
Tuned for x86_64/k8/params.h
Running on PCvonFlo
Input number is 13737293142475954120341410645833051974766582625992978532319707000013664446150232693649124386170755971238305704641444497356682536872193807211216464312849795257396901 (164 digits)
Using MODMULN [mulredc:1, sqrredc:1]
Computing batch product (of 62034615 bits) of primes up to B1=43000000 took 809ms
GPU: will use device -1: NVIDIA GeForce RTX 4090, compute capability 8.9, 128 MPs.
GPU: maxSharedPerBlock = 49152 maxThreadsPerBlock = 1024 maxRegsPerBlock = 65536
GPU: Selection and initialization of the device took 16ms
Using B1=43000000, B2=1, sigma=3:1364980631-3:1364988822 (8192 curves)
dF=0, k=0, d=8461736434434338377, d2=0, i0=0
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
621     3658    24066   174580  1382162 1.2e+07 1.1e+08 9.9e+08 5.2e+09 Inf
GPU: Using device code targeted for architecture compile_89
GPU: Ptx version is 89
GPU: maxThreadsPerBlock = 768
GPU: numRegsPerThread = 73 sharedMemPerBlock = 0 bytes
Copying 3276800 bytes of curves data to GPU
CGBN<640, 8> running kernel<256 block x 256 threads> input number is 542 bits
Computing 100 bits/call, 1/62034615 (0.0%)
Computing 110 bits/call, 101/62034615 (0.0%)
Computing 121 bits/call, 211/62034615 (0.0%)
Computing 256 bits/call, 1585/62034615 (0.0%)
Computing 655 bits/call, 5631/62034615 (0.0%)
Computing 4823 bits/call, 331960/62034615 (0.5%), ETA 1075 + 6 = 1080 seconds (~132 ms/curves)
Computing 4823 bits/call, 814260/62034615 (1.3%), ETA 1067 + 14 = 1081 seconds (~132 ms/curves)
Computing 4823 bits/call, 1296560/62034615 (2.1%), ETA 1059 + 23 = 1081 seconds (~132 ms/curves)
Computing 4823 bits/call, 1778860/62034615 (2.9%), ETA 1051 + 31 = 1082 seconds (~132 ms/curves)
Computing 4823 bits/call, 4672660/62034615 (7.5%), ETA 1001 + 82 = 1083 seconds (~132 ms/curves)
Computing 4823 bits/call, 9495660/62034615 (15.3%), ETA 918 + 166 = 1083 seconds (~132 ms/curves)
Computing 4823 bits/call, 14318660/62034615 (23.1%), ETA 834 + 250 = 1084 seconds (~132 ms/curves)
Computing 4823 bits/call, 19141660/62034615 (30.9%), ETA 749 + 334 = 1083 seconds (~132 ms/curves)
Computing 4823 bits/call, 48079660/62034615 (77.5%), ETA 244 + 839 = 1083 seconds (~132 ms/curves)
Copying results back to CPU ...
GPU: factor 49298931708933870249203792851634928439661 found in Step 1 with curve 7853 (-sigma 3:1364988484)
Computing 8192 Step 1 took 379912ms of CPU time / 1082358ms of GPU time
Throughput: 7.569 curves per second (on average 132.12ms per Step 1)
********** Factor found in step 1: 49298931708933870249203792851634928439661
Found prime factor of 41 digits: 49298931708933870249203792851634928439661
Composite cofactor 278652957909562668065290591521978000703170178004143121101228372240385122901954947701190322122407277344364185284042741122841 has 123 digits

RTX 4090, Windows 10 and WSL2 (Ubuntu)

278652957909562668065290591521978000703170178004143121101228372240385122901954947701190322122407277344364185284042741122841<123>

6767743355149515125867485093101198070060250201297882762477<58>
41173688670912459389682407680819328697666937496368436659941034333<65>

6767743355149515125867485093101198070060250201297882762477*41173688670912459389682407680819328697666937496368436659941034333

GGNFS gnfs

5118243384680682743173153692138474538507957740772963813222833636178074719582033908075493637688398040753843517379950573683806841138347142286107<142>

809094082561389254883533803645275722726678250782989001972430071<63>
6325893978210303899211362372839629645391361059660781120907941608319896321041917<79>

NFS elapsed time = 55309.8873 seconds.
pretesting / nfs ratio was 0.00
Total factoring time = 55310.7675 seconds


***factors found***

P63 = 809094082561389254883533803645275722726678250782989001972430071
P79 = 6325893978210303899211362372839629645391361059660781120907941608319896321041917

yafu2

1187942991483174868552127891742887727925591996203175146190080381056033261387756966673733340542745201253553354831728890539631990197129358476898150254084709981904477643248207698713<178>

806448024189881565124392571947115483<36>
1473055864544431837403529870647207764675472058988292005974967239285268274455920217067463457981870572174467539368122616503975867732931441174811<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2779576862
Step 1 took 9375ms
Step 2 took 4397ms
********** Factor found in step 2: 806448024189881565124392571947115483
Found prime factor of 36 digits: 806448024189881565124392571947115483
Prime cofactor 1473055864544431837403529870647207764675472058988292005974967239285268274455920217067463457981870572174467539368122616503975867732931441174811 has 142 digits

5844279491884622553489576823440148245998226347476915640205058425582501255764153481767823680840384098202209952211817572651460810174046287974963863470427040367162179206128894335589<178>

305035182259004727280168726243764002014493<42>
19159362040153968906502991548075891508391558728364870945762131731727180667789840548630112126897101048486896576188756217563631251221303273<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3395065119
Step 1 took 7407ms
Step 2 took 3406ms
********** Factor found in step 2: 305035182259004727280168726243764002014493
Found prime factor of 42 digits: 305035182259004727280168726243764002014493
Prime cofactor 19159362040153968906502991548075891508391558728364870945762131731727180667789840548630112126897101048486896576188756217563631251221303273 has 137 digits

GMP-ECM

2680556872658414817357285075834684632297066467927260172405762426484313395973962936460481987308635739447638603636925371832482704369894298821513236840310259613905468701<166>

26098706099542669645665556261895008003904314933879<50>
10264780691186627282878464768923236574494923505369592249<56>
10005904976104182831344125684486112542757918110500511281909731<62>

Number: n
N=2680556872658414817357285075834684632297066467927260172405762426484313395973962936460481987308635739447638603636925371832482704369894298821513236840310259613905468701  ( 166 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Apr 18 19:51:47 2023  prp50 factor: 26098706099542669645665556261895008003904314933879
Tue Apr 18 19:51:47 2023  prp56 factor: 10264780691186627282878464768923236574494923505369592249
Tue Apr 18 19:51:47 2023  prp62 factor: 10005904976104182831344125684486112542757918110500511281909731
Tue Apr 18 19:51:47 2023  elapsed time 01:50:38 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
#
# N = 73x10^193+44 = 81(192)6
#
n: 2680556872658414817357285075834684632297066467927260172405762426484313395973962936460481987308635739447638603636925371832482704369894298821513236840310259613905468701
m: 100000000000000000000000000000000000000
deg: 5
c5: 18250
c0: 11
skew: 0.23
# Murphy_E = 2.016e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 31650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1933496 hash collisions in 14636149 relations (13496254 unique)
Msieve: matrix is 1869632 x 1869857 (532.6 MB)

Sieving start time: 2023/04/18 07:06:00
Sieving end time  : 2023/04/18 18:00:51

Total sieving time: 10hrs 54min 51secs.

Total relation processing time: 1hrs 41min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 36sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12100000,12100000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6464143658223614623348467047894809547872275620569737076862404004188833295539852396740633903709553425848070934701024720573724300754279498008077272861858472697811524224644237265409843<181>

120444396629811370857257389114524872021971312022953849683631918095419<69>
53669110719125516048468530260851304487179876929581556828699675096494276683347930960746653460207642401178273601897<113>

Number: n
N=6464143658223614623348467047894809547872275620569737076862404004188833295539852396740633903709553425848070934701024720573724300754279498008077272861858472697811524224644237265409843  ( 181 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Dec 30 10:56:07 2022  p69 factor: 120444396629811370857257389114524872021971312022953849683631918095419
Fri Dec 30 10:56:07 2022  p113 factor: 53669110719125516048468530260851304487179876929581556828699675096494276683347930960746653460207642401178273601897
Fri Dec 30 10:56:07 2022  elapsed time 01:10:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 73x10^194+44 = 81(193)6
#
n: 6464143658223614623348467047894809547872275620569737076862404004188833295539852396740633903709553425848070934701024720573724300754279498008077272861858472697811524224644237265409843
m: 500000000000000000000000000000000000000
deg: 5
c5: 292
c0: 55
skew: 0.72
# Murphy_E = 1.6e-11
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 33650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2796875 hash collisions in 16780040 relations (14724049 unique)
Msieve: matrix is 1787178 x 1787404 (619.5 MB)

Sieving start time : 2022/12/29 22:49:40
Sieving end time  : 2022/12/30 09:44:59

Total sieving time: 10hrs 55min 19secs.

Total relation processing time: 1hrs 1min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 20sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12900000,12900000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2957768519743147682403549504693056374036027663325606386997021259341569451478864400544062114173867872037838237869337993211482177774326742241087167<145>

859772312535146588710724380189690797801820423078956741437180707311661<69>
3440176517224421800929266985635945419787583447746397547082842259535773893147<76>

2957768519743147682403549504693056374036027663325606386997021259341569451478864400544062114173867872037838237869337993211482177774326742241087167=859772312535146588710724380189690797801820423078956741437180707311661*3440176517224421800929266985635945419787583447746397547082842259535773893147
 
cado polynomial
n: 2957768519743147682403549504693056374036027663325606386997021259341569451478864400544062114173867872037838237869337993211482177774326742241087167
skew: 0.36
type: snfs
c0: 11
c5: 1825
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 1825*x^5+11
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14100000
tasks.lim1 = 14100000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 859772312535146588710724380189690797801820423078956741437180707311661 3440176517224421800929266985635945419787583447746397547082842259535773893147
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2680.77/146.215
Info:HTTP server: Got notification to stop serving Workunits
Info:Linear Algebra: Total cpu/real time for bwc: 69320.6/8676.61
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 45708.87, WCT time 5721.7, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (70144 iterations)
Info:Linear Algebra: Lingen CPU time 402.77, WCT time 26.08
Info:Linear Algebra: Mksol: CPU time 22766.11,  WCT time 2875.46, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.04, comm-wait 0.0 (35328 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.13/0.330113
Info:Square Root: Total cpu/real time for sqrt: 2680.77/146.215
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.35/72.9968
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 72.69999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 62.42/11.6815
Info:Generate Free Relations: Total cpu/real time for freerel: 71.25/6.39361
Info:Filtering - Singleton removal: Total cpu/real time for purge: 322.99/220.851
Info:Filtering - Merging: Merged matrix has 2242149 rows and total weight 383462045 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 514.62/30.3086
Info:Filtering - Merging: Total cpu/real time for replay: 41.88/36.6659
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26165239
Info:Lattice Sieving: Average J: 3790.14 for 1395503 special-q, max bucket fill -bkmult 1.0,1s:1.130500
Info:Lattice Sieving: Total time: 438389s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 433.53/314.325
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 224.3s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 906012/45702.2
Info:root: Cleaning up computation data in /tmp/cado.kqoi7723
859772312535146588710724380189690797801820423078956741437180707311661 3440176517224421800929266985635945419787583447746397547082842259535773893147

cado-nfs-3.0.0

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

57413754792851454089357176947102362644753716472749273229090171724504403605197483587122471049406980604111981366732779231654871490569809424178500375022239039753187071<164>

1789944341071044403383698131925322945962467861936133460685379868170745604571711<79>
32075720722409129730325786416347044874792170534334032099433483436366061175405443965761<86>

Number: n
N=57413754792851454089357176947102362644753716472749273229090171724504403605197483587122471049406980604111981366732779231654871490569809424178500375022239039753187071  ( 164 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri May 19 20:48:51 2023  prp79 factor: 1789944341071044403383698131925322945962467861936133460685379868170745604571711
Fri May 19 20:48:51 2023  prp86 factor: 32075720722409129730325786416347044874792170534334032099433483436366061175405443965761
Fri May 19 20:48:51 2023  elapsed time 03:12:40 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.078).
Factorization parameters were as follows:
#
# N = 73x10^198+44 = 81(197)6
#
n: 57413754792851454089357176947102362644753716472749273229090171724504403605197483587122471049406980604111981366732779231654871490569809424178500375022239039753187071
m: 1000000000000000000000000000000000000000
deg: 5
c5: 18250
c0: 11
skew: 0.23
# Murphy_E = 1.25e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 40150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2000848 hash collisions in 14185289 relations (12904850 unique)
Msieve: matrix is 2422857 x 2423082 (690.8 MB)

Sieving start time: 2023/05/19 01:54:53
Sieving end time  : 2023/05/19 17:35:56

Total sieving time: 15hrs 41min 3secs.

Total relation processing time: 3hrs 4min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 32sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

15480082308233800645209830607184810892345739707462917992970431007054421947007564374028306751275283109499825393153800003952722386650384164749469075588011986757871070508339608068066218787594864277<194>

4746579796248355786102519611298445774299557743998961583169750243<64>
3261312981711397040613566128868578518935172938605845943384396135119935767992900281760620735773824039210312700263221688153129113639<130>

Number: n
N=15480082308233800645209830607184810892345739707462917992970431007054421947007564374028306751275283109499825393153800003952722386650384164749469075588011986757871070508339608068066218787594864277  ( 194 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sun May 21 02:39:43 2023  prp64 factor: 4746579796248355786102519611298445774299557743998961583169750243
Sun May 21 02:39:43 2023  prp130 factor: 3261312981711397040613566128868578518935172938605845943384396135119935767992900281760620735773824039210312700263221688153129113639
Sun May 21 02:39:43 2023  elapsed time 04:24:52 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 73x10^199+44 = 81(198)6
#
n: 15480082308233800645209830607184810892345739707462917992970431007054421947007564374028306751275283109499825393153800003952722386650384164749469075588011986757871070508339608068066218787594864277
m: 5000000000000000000000000000000000000000
deg: 5
c5: 292
c0: 55
skew: 0.72
# Murphy_E = 9.897e-12
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 62200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2495836 hash collisions in 15303126 relations (13478795 unique)
Msieve: matrix is 2792841 x 2793067 (790.3 MB)

Sieving start time: 2023/05/19 20:52:54
Sieving end time  : 2023/05/20 22:14:26

Total sieving time: 25hrs 21min 32secs.

Total relation processing time: 4hrs 13min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 1sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15600000,15600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

23579315701738933794580700637828295030598772543787328323783497802564135068019727396761812552176021111393560400968913689297284415854804841474511422731227869402906656625953471330617843917129<188>

3489944572399695710833370126733673<34>
6756358220762724019815194879404257170846740348662934312865329833478773912795645035613152756916838083919144980494942400931254242210622126076029009557583073<154>

Resuming ECM residue saved by @1f395b902b49 with GMP-ECM 7.0.5-dev on Sat Jan  7 21:17:09 2023 
Input number is 23579315701738933794580700637828295030598772543787328323783497802564135068019727396761812552176021111393560400968913689297284415854804841474511422731227869402906656625953471330617843917129 (188 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2331700183
Step 1 took 0ms
Step 2 took 3601ms
********** Factor found in step 2: 3489944572399695710833370126733673
Found prime factor of 34 digits: 3489944572399695710833370126733673
Prime cofactor 6756358220762724019815194879404257170846740348662934312865329833478773912795645035613152756916838083919144980494942400931254242210622126076029009557583073 has 154 digits

75298059480672137644160260766221143429607409665291168410240592817051304188098298927663153177393116101844106877740341180006728045605354725424855965223299565147793146938729325629444781674576837<191>

676675050023983751100587063873480616281049259584128811807823911030623927<72>
111276541787676830648020115674536509135251122185295521523500870094755006097257229202798090319548923019713167904584191331<120>

Number: n
N=75298059480672137644160260766221143429607409665291168410240592817051304188098298927663153177393116101844106877740341180006728045605354725424855965223299565147793146938729325629444781674576837  ( 191 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sat Dec  2 18:47:37 2023  prp72 factor: 676675050023983751100587063873480616281049259584128811807823911030623927
Sat Dec  2 18:47:37 2023  prp120 factor: 111276541787676830648020115674536509135251122185295521523500870094755006097257229202798090319548923019713167904584191331
Sat Dec  2 18:47:37 2023  elapsed time 02:58:23 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 73x10^204+44 = 81(203)6
#
n: 75298059480672137644160260766221143429607409665291168410240592817051304188098298927663153177393116101844106877740341180006728045605354725424855965223299565147793146938729325629444781674576837
m: 10000000000000000000000000000000000
deg: 6
c6: 73
c0: 44
skew: 0.92
# Murphy_E = 7.72e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4047228 hash collisions in 20435384 relations (17342107 unique)
Msieve: matrix is 2342220 x 2342445 (663.7 MB)

Sieving start time: 2023/12/01 15:36:43
Sieving end time  : 2023/12/02 15:48:48

Total sieving time: 24hrs 12min 5secs.

Total relation processing time: 2hrs 45min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 48sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

207635404978249417331856044739195237014568719716665053144413690868972682949237704441610815354935720817383707589966841651682975714282820237138609245843428086361779610839<168>

13045877552020216300404496147554056231767547434659327701186590145112126823376489<80>
15915786741850576814758447803401899736544289403230102492273301251614475697948973936249151<89>

10/10/24 09:27:58 v1.34.5 @ RYZEN-9,
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, ****************************
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, Starting factorization of 73000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, ****************************
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, div: found prime factor = 461
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C205
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C205
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, prp7 = 5900641
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C198
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C198
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C198
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, c31 = 3590201566637962748011588803961
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/10/24 09:27:58 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 51.69
10/10/24 09:27:59 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C168 input, B1=2K, B2=gmp-ecm default
10/10/24 09:27:59 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/10/24 09:27:59 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 51.69
10/10/24 09:28:01 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C168 input, B1=11K, B2=gmp-ecm default
10/10/24 09:28:01 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/10/24 09:28:01 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 51.69
10/10/24 09:28:36 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c209: 73000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044
10/10/24 09:28:36 v1.34.5 @ RYZEN-9, nfs: input divides 73*10^207 + 44
10/10/24 09:28:36 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 207635404978249417331856044739195237014568719716665053144413690868972682949237704441610815354935720817383707589966841651682975714282820237138609245843428086361779610839
10/10/24 09:28:36 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c168: 207635404978249417331856044739195237014568719716665053144413690868972682949237704441610815354935720817383707589966841651682975714282820237138609245843428086361779610839
10/10/24 09:28:36 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 207635404978249417331856044739195237014568719716665053144413690868972682949237704441610815354935720817383707589966841651682975714282820237138609245843428086361779610839
# 73*10^207+44, difficulty: 210.86, anorm: 2.83e+032, rnorm: 1.67e+047
# scaled difficulty: 213.32, suggest sieving rational side
# size = 1.419e-014, alpha = 0.155, combined = 5.955e-012, rroots = 1
type: snfs
size: 210
skew: 0.3598
c5: 1825
c0: 11
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 207635404978249417331856044739195237014568719716665053144413690868972682949237704441610815354935720817383707589966841651682975714282820237138609245843428086361779610839
# 73*10^207+44, difficulty: 211.86, anorm: 8.96e+038, rnorm: 1.85e+040
# scaled difficulty: 211.86, suggest sieving algebraic side
# size = 1.826e-010, alpha = -1.701, combined = 5.141e-012, rroots = 0
type: snfs
size: 211
skew: 0.2906
c6: 18250
c0: 11
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
n: 207635404978249417331856044739195237014568719716665053144413690868972682949237704441610815354935720817383707589966841651682975714282820237138609245843428086361779610839
# 73*10^207+44, difficulty: 209.77, anorm: 1.60e+033, rnorm: 2.36e+047
# scaled difficulty: 212.13, suggest sieving rational side
# size = 9.653e-015, alpha = -0.769, combined = 4.757e-012, rroots = 1
type: snfs
size: 209
skew: 0.7195
c5: 1825
c0: 352
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
10/10/24 09:28:38 v1.34.5 @ RYZEN-9, test: fb generation took 1.8750 seconds
10/10/24 09:28:38 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.3598
c5: 1825
c0: 11
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/10/24 09:31:54 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/10/24 09:31:56 v1.34.5 @ RYZEN-9, test: fb generation took 2.6562 seconds
10/10/24 09:31:56 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the algebraic side over range 22600000-22602000
skew: 0.2906
c6: 18250
c0: 11
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/10/24 09:35:05 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/10/24 09:35:07 v1.34.5 @ RYZEN-9, test: fb generation took 1.7655 seconds
10/10/24 09:35:07 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.7195
c5: 1825
c0: 352
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/10/24 09:38:19 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/10/24 09:38:19 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 207635404978249417331856044739195237014568719716665053144413690868972682949237704441610815354935720817383707589966841651682975714282820237138609245843428086361779610839
# 73*10^207+44, difficulty: 209.77, anorm: 1.60e+033, rnorm: 2.36e+047
# scaled difficulty: 212.13, suggest sieving rational side
# size = 9.653e-015, alpha = -0.769, combined = 4.757e-012, rroots = 1
type: snfs
size: 209
skew: 0.7195
c5: 1825
c0: 352
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
10/11/24 18:13:40 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/11/24 18:15:51 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22140642
10/11/24 20:16:07 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/11/24 20:18:28 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23336242
10/11/24 22:17:40 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/11/24 22:20:05 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24514048
10/12/24 00:32:01 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/12/24 00:34:33 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25816814
10/12/24 03:00:28 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/12/24 03:03:03 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27221785
10/12/24 05:29:41 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/12/24 05:34:30 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
10/12/24 11:37:29 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
10/12/24 11:58:11 v1.34.5 @ RYZEN-9, prp80 = 13045877552020216300404496147554056231767547434659327701186590145112126823376489
10/12/24 11:58:11 v1.34.5 @ RYZEN-9, prp89 = 15915786741850576814758447803401899736544289403230102492273301251614475697948973936249151
10/12/24 11:58:11 v1.34.5 @ RYZEN-9, NFS elapsed time = 181775.2090 seconds.
10/12/24 11:58:11 v1.34.5 @ RYZEN-9,
10/12/24 11:58:11 v1.34.5 @ RYZEN-9,
10/10/24 09:38:19 v1.34.5 @ RYZEN-9, test: test sieving took 583.23 seconds

YAFU

753079397776701423974216762622847179767506143158356843202401164107130655747464618084415320633336967295986277959838636542163750664747876482183331759199367246984350980649799566577<177>

193001097183963400798455678589438982000200761253<48>

3901943609465010490863853583043384980260536907190629260253560462818936986609215167459537433064348051322722187136032412290443030109<130>

Resuming ECM residue saved by @f10ab558768b with GMP-ECM 7.0.5-dev on Wed Mar 27 05:57:40 2024 
Input number is 753079397776701423974216762622847179767506143158356843202401164107130655747464618084415320633336967295986277959838636542163750664747876482183331759199367246984350980649799566577 (177 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1221382888
Step 1 took 0ms
Step 2 took 23786ms
********** Factor found in step 2: 193001097183963400798455678589438982000200761253
Found prime factor of 48 digits: 193001097183963400798455678589438982000200761253
Composite cofactor 3901943609465010490863853583043384980260536907190629260253560462818936986609215167459537433064348051322722187136032412290443030109 has 130 digits

3901943609465010490863853583043384980260536907190629260253560462818936986609215167459537433064348051322722187136032412290443030109<130>

435762562849941369632628996431405108490330905510168858913169<60>
8954288280172151287124425695723117325080933645629818623435587559797261<70>

CADO:



STA:Fri 29 Mar 2024 08:34:02 AEDT (3901943609465010490863853583043384980260536907190629260253560462818936986609215167459537433064348051322722187136032412290443030109 - C130)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 3901943609465010490863853583043384980260536907190629260253560462818936986609215167459537433064348051322722187136032412290443030109 2>&1 | tee -a log-55



Debug:root: Looking for parameter file for c130 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c130

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c130

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.edl910mr

Info:Database: Opened connection to database /tmp/cado.edl910mr/c130.db

Info:root: Set tasks.threads=20 based on --server-threads 20

Info:root: tasks.threads = 20 [via tasks.threads]

Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]

Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]

Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]

Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]

Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 3901943609465010490863853583043384980260536907190629260253560462818936986609215167459537433064348051322722187136032412290443030109

Debug:root: Root parameter dictionary:

N = 3901943609465010490863853583043384980260536907190629260253560462818936986609215167459537433064348051322722187136032412290443030109

name = c130

===

Info:Polynomial Selection (root optimized): Best polynomial is:

n: 3901943609465010490863853583043384980260536907190629260253560462818936986609215167459537433064348051322722187136032412290443030109

skew: 41867.861

c0: 483043851905639021198401200

c1: -7090517476898064477075310

c2: -310057370911986425409

c3: 8519867546446777

c4: 61932490380

c5: -781200

Y0: 9814659553793524274813637

Y1: 159131053702028812499

# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.639e-06

# f(x) = -781200*x^5+61932490380*x^4+8519867546446777*x^3-310057370911986425409*x^2-7090517476898064477075310*x+483043851905639021198401200

# g(x) = 159131053702028812499*x+9814659553793524274813637

===

Debug:Command: Process with PID 121922 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 8954288280172151287124425695723117325080933645629818623435587559797261 435762562849941369632628996431405108490330905510168858913169

Debug:Square Root: Exit SqrtTask.run(sqrt)

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 2438.26/575.124

Info:HTTP server: Got notification to stop serving Workunits

Info:Polynomial Selection (root optimized): Aggregate statistics:

Info:Polynomial Selection (root optimized): Total time: 1792.89

Info:Polynomial Selection (root optimized): Rootsieve time: 1791.56

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 33573044

Info:Lattice Sieving: Average J: 3793.35 for 263246 special-q, max bucket fill -bkmult 1.0,1s:1.338830

Info:Lattice Sieving: Total time: 429852s

Info:Polynomial Selection (size optimized): Aggregate statistics:

Info:Polynomial Selection (size optimized): potential collisions: 55508.4

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38317/38.190/47.789/59.880/2.212

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32072/36.680/41.786/56.820/1.491

Info:Polynomial Selection (size optimized): Total time: 16665.2

Info:Generate Factor Base: Total cpu/real time for makefb: 5.54/3.88718

Info:Square Root: Total cpu/real time for sqrt: 2438.26/575.124

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1022.05/3727.48

Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 2440.7999999999997s

Info:Quadratic Characters: Total cpu/real time for characters: 61.65/15.8618

Info:Generate Free Relations: Total cpu/real time for freerel: 738.69/53.5205

Info:Filtering - Singleton removal: Total cpu/real time for purge: 462.62/2037.59

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 317.45/1506.41

Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1504.7999999999997s

Info:Filtering - Merging: Total cpu/real time for merge: 402.56/84.1486

Info:Filtering - Merging: Total cpu/real time for replay: 23.92/21.5389

Info:Linear Algebra: Total cpu/real time for bwc: 25975.8/7608.15

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 8004.9, WCT time 3772.8, iteration CPU time 0.02, COMM 0.05, cpu-wait 0.01, comm-wait 0.01 (39000 iterations)

Info:Linear Algebra: Lingen CPU time 11925.79, WCT time 1298.5

Info:Linear Algebra: Mksol: CPU time 4930.04,  WCT time 2121.65, iteration CPU time 0.04, COMM 0.05, cpu-wait 0.01, comm-wait 0.0 (21000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 369645/56354.9 [15:39:15]

Info:root: Cleaning up computation data in /tmp/cado.edl910mr

8954288280172151287124425695723117325080933645629818623435587559797261 435762562849941369632628996431405108490330905510168858913169



END:Sat 30 Mar 2024 00:13:20 AEDT (3901943609465010490863853583043384980260536907190629260253560462818936986609215167459537433064348051322722187136032412290443030109 - C130)

4431657074140336865164368781211647371796454689879426078439854419286256018843053067529369926253225103540549132423036313<118>

9338589142118068828142102135701903098708351357312067425017<58>
474553169295463895950304647682452753776082492658585198659489<60>

-> makeJobFile(): Adjusted to q0=1900000, q1=2000000.
->               client 1 q0: 1900000
      LatSieveTime: 86
        LatSieveTime: 95
        LatSieveTime: 96
        LatSieveTime: 97
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        LatSieveTime: 127
-> makeJobFile(): Adjusted to q0=2000001, q1=2100000.
->               client 1 q0: 2000001
      LatSieveTime: 94
        LatSieveTime: 100
        LatSieveTime: 101
        LatSieveTime: 106
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        LatSieveTime: 128
        LatSieveTime: 131
-> makeJobFile(): Adjusted to q0=2100001, q1=2200000.
->               client 1 q0: 2100001
      LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 108
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-> makeJobFile(): Adjusted to q0=2200001, q1=2300000.
->               client 1 q0: 2200001
      LatSieveTime: 96
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 104
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        LatSieveTime: 135
-> makeJobFile(): Adjusted to q0=2300001, q1=2400000.
->               client 1 q0: 2300001
      LatSieveTime: 91
        LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 99
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        LatSieveTime: 128
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        LatSieveTime: 141
-> makeJobFile(): Adjusted to q0=2400001, q1=2500000.
->               client 1 q0: 2400001
      LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 105
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-> makeJobFile(): Adjusted to q0=2500001, q1=2600000.
->               client 1 q0: 2500001
      LatSieveTime: 97
        LatSieveTime: 106
        LatSieveTime: 106
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        LatSieveTime: 133
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        LatSieveTime: 136
-> makeJobFile(): Adjusted to q0=2600001, q1=2700000.
->               client 1 q0: 2600001
      LatSieveTime: 99
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        LatSieveTime: 144
-> makeJobFile(): Adjusted to q0=2700001, q1=2800000.
->               client 1 q0: 2700001
      LatSieveTime: 96
        LatSieveTime: 100
        LatSieveTime: 100
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-> makeJobFile(): Adjusted to q0=2800001, q1=2900000.
->               client 1 q0: 2800001
      LatSieveTime: 90
        LatSieveTime: 92
        LatSieveTime: 93
        LatSieveTime: 100
        LatSieveTime: 104
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        LatSieveTime: 148
-> makeJobFile(): Adjusted to q0=2900001, q1=3000000.
->               client 1 q0: 2900001
      LatSieveTime: 91
        LatSieveTime: 103
        LatSieveTime: 110
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        LatSieveTime: 140
        LatSieveTime: 145
-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
      LatSieveTime: 96
        LatSieveTime: 97
        LatSieveTime: 102
        LatSieveTime: 105
        LatSieveTime: 111
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        LatSieveTime: 140
        LatSieveTime: 144
-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
      LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 105
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        LatSieveTime: 111
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        LatSieveTime: 133
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        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 138
        LatSieveTime: 141
-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
      LatSieveTime: 98
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
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        LatSieveTime: 119
        LatSieveTime: 119
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        LatSieveTime: 119
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        LatSieveTime: 133
        LatSieveTime: 135
        LatSieveTime: 137
        LatSieveTime: 141
        LatSieveTime: 143
        LatSieveTime: 144
        LatSieveTime: 144
Wed Dec 28 12:50:30 2022  
Wed Dec 28 12:50:30 2022  
Wed Dec 28 12:50:30 2022  Msieve v. 1.52 (SVN 927)
Wed Dec 28 12:50:30 2022  random seeds: 13f6aaf0 1ee9f0d8
Wed Dec 28 12:50:30 2022  factoring 4431657074140336865164368781211647371796454689879426078439854419286256018843053067529369926253225103540549132423036313 (118 digits)
Wed Dec 28 12:50:30 2022  searching for 15-digit factors
Wed Dec 28 12:50:31 2022  commencing number field sieve (118-digit input)
Wed Dec 28 12:50:31 2022  R0: -63072816508531379261120
Wed Dec 28 12:50:31 2022  R1: 3278432737231
Wed Dec 28 12:50:31 2022  A0: -34027460896568431725924915177
Wed Dec 28 12:50:31 2022  A1: 1024019279613736135429407
Wed Dec 28 12:50:31 2022  A2: 57737239676544427661
Wed Dec 28 12:50:31 2022  A3: -127146362023357
Wed Dec 28 12:50:31 2022  A4: -5496648214
Wed Dec 28 12:50:31 2022  A5: 4440
Wed Dec 28 12:50:31 2022  skew 103318.46, size 2.256e-011, alpha -6.314, combined = 3.414e-010 rroots = 5
Wed Dec 28 12:50:31 2022  
Wed Dec 28 12:50:31 2022  commencing relation filtering
Wed Dec 28 12:50:31 2022  estimated available RAM is 65413.5 MB
Wed Dec 28 12:50:31 2022  commencing duplicate removal, pass 1
Wed Dec 28 12:50:49 2022  found 795073 hash collisions in 9105221 relations
Wed Dec 28 12:50:59 2022  added 62502 free relations
Wed Dec 28 12:50:59 2022  commencing duplicate removal, pass 2
Wed Dec 28 12:51:02 2022  found 583009 duplicates and 8584714 unique relations
Wed Dec 28 12:51:02 2022  memory use: 32.6 MB
Wed Dec 28 12:51:02 2022  reading ideals above 100000
Wed Dec 28 12:51:02 2022  commencing singleton removal, initial pass
Wed Dec 28 12:51:33 2022  memory use: 188.3 MB
Wed Dec 28 12:51:33 2022  reading all ideals from disk
Wed Dec 28 12:51:34 2022  memory use: 300.2 MB
Wed Dec 28 12:51:34 2022  keeping 10016994 ideals with weight <= 200, target excess is 45358
Wed Dec 28 12:51:34 2022  commencing in-memory singleton removal
Wed Dec 28 12:51:35 2022  begin with 8584714 relations and 10016994 unique ideals
Wed Dec 28 12:51:39 2022  reduce to 2155979 relations and 2251360 ideals in 27 passes
Wed Dec 28 12:51:39 2022  max relations containing the same ideal: 81
Wed Dec 28 12:51:39 2022  filtering wants 1000000 more relations
Wed Dec 28 12:51:39 2022  elapsed time 00:01:09
-> makeJobFile(): Adjusted to q0=3300001, q1=3400000.
->               client 1 q0: 3300001
        LatSieveTime: 99
        LatSieveTime: 105
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        LatSieveTime: 109
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        LatSieveTime: 139
Wed Dec 28 12:54:03 2022  
Wed Dec 28 12:54:03 2022  
Wed Dec 28 12:54:03 2022  Msieve v. 1.52 (SVN 927)
Wed Dec 28 12:54:03 2022  random seeds: 9749fc50 1eeda978
Wed Dec 28 12:54:03 2022  factoring 4431657074140336865164368781211647371796454689879426078439854419286256018843053067529369926253225103540549132423036313 (118 digits)
Wed Dec 28 12:54:04 2022  searching for 15-digit factors
Wed Dec 28 12:54:04 2022  commencing number field sieve (118-digit input)
Wed Dec 28 12:54:04 2022  R0: -63072816508531379261120
Wed Dec 28 12:54:04 2022  R1: 3278432737231
Wed Dec 28 12:54:04 2022  A0: -34027460896568431725924915177
Wed Dec 28 12:54:04 2022  A1: 1024019279613736135429407
Wed Dec 28 12:54:04 2022  A2: 57737239676544427661
Wed Dec 28 12:54:04 2022  A3: -127146362023357
Wed Dec 28 12:54:04 2022  A4: -5496648214
Wed Dec 28 12:54:04 2022  A5: 4440
Wed Dec 28 12:54:04 2022  skew 103318.46, size 2.256e-011, alpha -6.314, combined = 3.414e-010 rroots = 5
Wed Dec 28 12:54:04 2022  
Wed Dec 28 12:54:04 2022  commencing relation filtering
Wed Dec 28 12:54:04 2022  estimated available RAM is 65413.5 MB
Wed Dec 28 12:54:04 2022  commencing duplicate removal, pass 1
Wed Dec 28 12:54:24 2022  found 899538 hash collisions in 9823346 relations
Wed Dec 28 12:54:34 2022  added 251 free relations
Wed Dec 28 12:54:34 2022  commencing duplicate removal, pass 2
Wed Dec 28 12:54:37 2022  found 657034 duplicates and 9166563 unique relations
Wed Dec 28 12:54:37 2022  memory use: 34.6 MB
Wed Dec 28 12:54:37 2022  reading ideals above 100000
Wed Dec 28 12:54:37 2022  commencing singleton removal, initial pass
Wed Dec 28 12:55:11 2022  memory use: 344.5 MB
Wed Dec 28 12:55:11 2022  reading all ideals from disk
Wed Dec 28 12:55:11 2022  memory use: 320.7 MB
Wed Dec 28 12:55:11 2022  keeping 10298788 ideals with weight <= 200, target excess is 48637
Wed Dec 28 12:55:12 2022  commencing in-memory singleton removal
Wed Dec 28 12:55:12 2022  begin with 9166563 relations and 10298788 unique ideals
Wed Dec 28 12:55:16 2022  reduce to 2929929 relations and 2863240 ideals in 21 passes
Wed Dec 28 12:55:16 2022  max relations containing the same ideal: 94
Wed Dec 28 12:55:17 2022  relations with 0 large ideals: 149
Wed Dec 28 12:55:17 2022  relations with 1 large ideals: 475
Wed Dec 28 12:55:17 2022  relations with 2 large ideals: 7427
Wed Dec 28 12:55:17 2022  relations with 3 large ideals: 61869
Wed Dec 28 12:55:17 2022  relations with 4 large ideals: 269107
Wed Dec 28 12:55:17 2022  relations with 5 large ideals: 652287
Wed Dec 28 12:55:17 2022  relations with 6 large ideals: 890156
Wed Dec 28 12:55:17 2022  relations with 7+ large ideals: 1048459
Wed Dec 28 12:55:17 2022  commencing 2-way merge
Wed Dec 28 12:55:18 2022  reduce to 1563430 relation sets and 1497456 unique ideals
Wed Dec 28 12:55:18 2022  ignored 715 oversize relation sets
Wed Dec 28 12:55:18 2022  commencing full merge
Wed Dec 28 12:55:37 2022  memory use: 151.5 MB
Wed Dec 28 12:55:37 2022  found 730161 cycles, need 725656
Wed Dec 28 12:55:37 2022  weight of 725656 cycles is about 50907628 (70.15/cycle)
Wed Dec 28 12:55:37 2022  distribution of cycle lengths:
Wed Dec 28 12:55:37 2022  1 relations: 91151
Wed Dec 28 12:55:37 2022  2 relations: 91181
Wed Dec 28 12:55:37 2022  3 relations: 90109
Wed Dec 28 12:55:37 2022  4 relations: 77867
Wed Dec 28 12:55:37 2022  5 relations: 65418
Wed Dec 28 12:55:37 2022  6 relations: 55650
Wed Dec 28 12:55:37 2022  7 relations: 45877
Wed Dec 28 12:55:37 2022  8 relations: 37169
Wed Dec 28 12:55:37 2022  9 relations: 30446
Wed Dec 28 12:55:37 2022  10+ relations: 140788
Wed Dec 28 12:55:37 2022  heaviest cycle: 27 relations
Wed Dec 28 12:55:37 2022  commencing cycle optimization
Wed Dec 28 12:55:38 2022  start with 4414321 relations
Wed Dec 28 12:55:43 2022  pruned 77726 relations
Wed Dec 28 12:55:43 2022  memory use: 154.2 MB
Wed Dec 28 12:55:43 2022  distribution of cycle lengths:
Wed Dec 28 12:55:43 2022  1 relations: 91151
Wed Dec 28 12:55:43 2022  2 relations: 93065
Wed Dec 28 12:55:43 2022  3 relations: 92671
Wed Dec 28 12:55:43 2022  4 relations: 78840
Wed Dec 28 12:55:43 2022  5 relations: 66352
Wed Dec 28 12:55:43 2022  6 relations: 55782
Wed Dec 28 12:55:43 2022  7 relations: 45649
Wed Dec 28 12:55:43 2022  8 relations: 36681
Wed Dec 28 12:55:43 2022  9 relations: 29977
Wed Dec 28 12:55:43 2022  10+ relations: 135488
Wed Dec 28 12:55:43 2022  heaviest cycle: 27 relations
Wed Dec 28 12:55:44 2022  RelProcTime: 100
Wed Dec 28 12:55:44 2022  elapsed time 00:01:41
Wed Dec 28 12:55:44 2022  
Wed Dec 28 12:55:44 2022  
Wed Dec 28 12:55:44 2022  Msieve v. 1.52 (SVN 927)
Wed Dec 28 12:55:44 2022  random seeds: e05844a0 7b3734d2
Wed Dec 28 12:55:44 2022  factoring 4431657074140336865164368781211647371796454689879426078439854419286256018843053067529369926253225103540549132423036313 (118 digits)
Wed Dec 28 12:55:44 2022  searching for 15-digit factors
Wed Dec 28 12:55:44 2022  commencing number field sieve (118-digit input)
Wed Dec 28 12:55:44 2022  R0: -63072816508531379261120
Wed Dec 28 12:55:44 2022  R1: 3278432737231
Wed Dec 28 12:55:44 2022  A0: -34027460896568431725924915177
Wed Dec 28 12:55:44 2022  A1: 1024019279613736135429407
Wed Dec 28 12:55:44 2022  A2: 57737239676544427661
Wed Dec 28 12:55:44 2022  A3: -127146362023357
Wed Dec 28 12:55:44 2022  A4: -5496648214
Wed Dec 28 12:55:44 2022  A5: 4440
Wed Dec 28 12:55:44 2022  skew 103318.46, size 2.256e-011, alpha -6.314, combined = 3.414e-010 rroots = 5
Wed Dec 28 12:55:44 2022  
Wed Dec 28 12:55:44 2022  commencing linear algebra
Wed Dec 28 12:55:44 2022  read 725656 cycles
Wed Dec 28 12:55:45 2022  cycles contain 2654460 unique relations
Wed Dec 28 12:55:50 2022  read 2654460 relations
Wed Dec 28 12:55:53 2022  using 20 quadratic characters above 134217258
Wed Dec 28 12:56:00 2022  building initial matrix
Wed Dec 28 12:56:13 2022  memory use: 337.2 MB
Wed Dec 28 12:56:13 2022  read 725656 cycles
Wed Dec 28 12:56:13 2022  matrix is 725467 x 725656 (220.8 MB) with weight 69752067 (96.12/col)
Wed Dec 28 12:56:13 2022  sparse part has weight 49179691 (67.77/col)
Wed Dec 28 12:56:17 2022  filtering completed in 2 passes
Wed Dec 28 12:56:17 2022  matrix is 721740 x 721929 (220.3 MB) with weight 69541623 (96.33/col)
Wed Dec 28 12:56:17 2022  sparse part has weight 49094349 (68.00/col)
Wed Dec 28 12:56:18 2022  matrix starts at (0, 0)
Wed Dec 28 12:56:18 2022  matrix is 721740 x 721929 (220.3 MB) with weight 69541623 (96.33/col)
Wed Dec 28 12:56:18 2022  sparse part has weight 49094349 (68.00/col)
Wed Dec 28 12:56:18 2022  saving the first 48 matrix rows for later
Wed Dec 28 12:56:18 2022  matrix includes 64 packed rows
Wed Dec 28 12:56:18 2022  matrix is 721692 x 721929 (211.4 MB) with weight 55274038 (76.56/col)
Wed Dec 28 12:56:18 2022  sparse part has weight 48197782 (66.76/col)
Wed Dec 28 12:56:18 2022  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Wed Dec 28 12:56:20 2022  commencing Lanczos iteration (32 threads)
Wed Dec 28 12:56:20 2022  memory use: 165.2 MB
Wed Dec 28 12:56:22 2022  linear algebra at 0.4%, ETA 0h 7m
Wed Dec 28 13:02:53 2022  lanczos halted after 11416 iterations (dim = 721691)
Wed Dec 28 13:02:54 2022  recovered 29 nontrivial dependencies
Wed Dec 28 13:02:54 2022  BLanczosTime: 430
Wed Dec 28 13:02:54 2022  elapsed time 00:07:10
Wed Dec 28 13:02:54 2022  
Wed Dec 28 13:02:54 2022  
Wed Dec 28 13:02:54 2022  Msieve v. 1.52 (SVN 927)
Wed Dec 28 13:02:54 2022  random seeds: 67e5b360 9e0640e8
Wed Dec 28 13:02:54 2022  factoring 4431657074140336865164368781211647371796454689879426078439854419286256018843053067529369926253225103540549132423036313 (118 digits)
Wed Dec 28 13:02:54 2022  searching for 15-digit factors
Wed Dec 28 13:02:54 2022  commencing number field sieve (118-digit input)
Wed Dec 28 13:02:54 2022  R0: -63072816508531379261120
Wed Dec 28 13:02:54 2022  R1: 3278432737231
Wed Dec 28 13:02:54 2022  A0: -34027460896568431725924915177
Wed Dec 28 13:02:54 2022  A1: 1024019279613736135429407
Wed Dec 28 13:02:54 2022  A2: 57737239676544427661
Wed Dec 28 13:02:54 2022  A3: -127146362023357
Wed Dec 28 13:02:54 2022  A4: -5496648214
Wed Dec 28 13:02:54 2022  A5: 4440
Wed Dec 28 13:02:54 2022  skew 103318.46, size 2.256e-011, alpha -6.314, combined = 3.414e-010 rroots = 5
Wed Dec 28 13:02:54 2022  
Wed Dec 28 13:02:54 2022  commencing square root phase
Wed Dec 28 13:02:54 2022  reading relations for dependency 1
Wed Dec 28 13:02:55 2022  read 360621 cycles
Wed Dec 28 13:02:55 2022  cycles contain 1325820 unique relations
Wed Dec 28 13:02:58 2022  read 1325820 relations
Wed Dec 28 13:03:01 2022  multiplying 1325820 relations
Wed Dec 28 13:03:31 2022  multiply complete, coefficients have about 58.77 million bits
Wed Dec 28 13:03:32 2022  initial square root is modulo 274210879
Wed Dec 28 13:04:13 2022  GCD is 1, no factor found
Wed Dec 28 13:04:13 2022  reading relations for dependency 2
Wed Dec 28 13:04:14 2022  read 360570 cycles
Wed Dec 28 13:04:14 2022  cycles contain 1325562 unique relations
Wed Dec 28 13:04:17 2022  read 1325562 relations
Wed Dec 28 13:04:20 2022  multiplying 1325562 relations
Wed Dec 28 13:04:50 2022  multiply complete, coefficients have about 58.77 million bits
Wed Dec 28 13:04:50 2022  initial square root is modulo 273382969
Wed Dec 28 13:05:32 2022  sqrtTime: 158
Wed Dec 28 13:05:32 2022  prp58 factor: 9338589142118068828142102135701903098708351357312067425017
Wed Dec 28 13:05:32 2022  prp60 factor: 474553169295463895950304647682452753776082492658585198659489
Wed Dec 28 13:05:32 2022  elapsed time 00:02:38

GNFS, Msieve

1606067750361981269817885997702927100276798076450056969203188867319178992246608930951143243026563832568713078592507346329897580399531573839910862799836348296516540253734063517735432151469877605316902688223<205>

18043573592335449845044977856074738856092983987009217553048490668518197578478288059464359291794392373239993103064721115904591371<128>

9163468450235683704278675631009608972257022209602958969<55>
1969076850138701630930469565618179097136916022376551382328846179294973859<73>

18043573592335449845044977856074738856092983987009217553048490668518197578478288059464359291794392373239993103064721115904591371=9163468450235683704278675631009608972257022209602958969*1969076850138701630930469565618179097136916022376551382328846179294973859

cado polynomial
n: 18043573592335449845044977856074738856092983987009217553048490668518197578478288059464359291794392373239993103064721115904591371
skew: 91783.758
c0: 20261978388270591836260070320
c1: -6539003591765991812152326
c2: 365767534620478710195
c3: 723568893726621
c4: 8493956330
c5: 71400
Y0: -4785291197904733736868777
Y1: 285030893775837187
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 6.027e-07
# f(x) = 71400*x^5+8493956330*x^4+723568893726621*x^3+365767534620478710195*x^2-6539003591765991812152326*x+20261978388270591836260070320
# g(x) = 285030893775837187*x-4785291197904733736868777

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: 1969076850138701630930469565618179097136916022376551382328846179294973859 9163468450235683704278675631009608972257022209602958969
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 676.99/206.945
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 95.05/100.003
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 98.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 125.62/119.595
Info:Filtering - Merging: Merged matrix has 1529705 rows and total weight 261166770 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 396.76/114.794
Info:Filtering - Merging: Total cpu/real time for replay: 57.97/51.7487
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23156963
Info:Lattice Sieving: Average J: 7747.67 for 46107 special-q, max bucket fill -bkmult 1.0,1s:1.069890
Info:Lattice Sieving: Total time: 68203.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 255.18/234.712
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 211.0s
Info:Linear Algebra: Total cpu/real time for bwc: 41771.8/11024.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 26729.17, WCT time 6900.99, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47872 iterations)
Info:Linear Algebra: Lingen CPU time 222.18, WCT time 225.99
Info:Linear Algebra: Mksol: CPU time 14487.29,  WCT time 3747.91, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24064 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4981.18
Info:Polynomial Selection (root optimized): Rootsieve time: 4978.73
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): 28217/37.260/45.381/49.150/0.872
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22000/37.130/40.591/46.150/0.839
Info:Polynomial Selection (size optimized): Total time: 4643.61
Info:Generate Factor Base: Total cpu/real time for makefb: 38.43/10.2318
Info:Square Root: Total cpu/real time for sqrt: 676.99/206.945
Info:Generate Free Relations: Total cpu/real time for freerel: 251.64/64.4778
Info:Quadratic Characters: Total cpu/real time for characters: 59.03/25.105
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 181749/49758.8
Info:root: Cleaning up computation data in /tmp/cado.66vetpom
1969076850138701630930469565618179097136916022376551382328846179294973859 9163468450235683704278675631009608972257022209602958969

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)

526176621380945883075538895665214055706533990591463441048730074349658719723996499437315137708890019081063502733119590882274045020349967781642855123128643964538390150551384332309491875657<186>

141577991873763392863876165455895461211798178575909908826035431918486759132537933908208330422740188036722244819011635411544276182446989864566847555812432360195611815584508544945208234954397013<192>

27532714852407656249760086498818269721217<41>

5142173324814091376137501205120219120126469388793758168545323703323994148269139379732016520143420760269929385140151422412374250047787136582157866111189<151>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1801656570
Step 1 took 40876ms
Step 2 took 14492ms
********** Factor found in step 2: 27532714852407656249760086498818269721217
Found probable prime factor of 41 digits: 27532714852407656249760086498818269721217
Composite cofactor 5142173324814091376137501205120219120126469388793758168545323703323994148269139379732016520143420760269929385140151422412374250047787136582157866111189 has 151 digits

1999965932499072238943570210620630435149257670778374917362762497241778733092518106215768700788542645290127324474071882219465154025115839373700057684827<151>

49914550065452517080330076331695495586367<41>
40067794458259850840950435208995336886492795413384113936405848792179543113591564539168513293344271961621137381<110>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1121402864
Step 1 took 35612ms
Step 2 took 16940ms
********** Factor found in step 2: 49914550065452517080330076331695495586367
Found prime factor of 41 digits: 49914550065452517080330076331695495586367
Prime cofactor 40067794458259850840950435208995336886492795413384113936405848792179543113591564539168513293344271961621137381 has 110 digits

28089237060740911759139940583792882468361012777261945802418417034382951192922617727336268087851793512659755023284187756195657595442984882459355038586453181382901064964343495322014979496131806519731457831<203>

4125997377110999866261418132367131648387879299965150074953336491586832756159800974359441879628082355355844183002029400794683069703303701924170917895473194326418543650099399268870432531665742000843<196>

7402911474106062497910683255541255327511664401<46>

557347928790305314507205835466971042829832946259996118200060502303884408428815618768776714600724972001094332398492914024307147574289881196886561391643<150>

Resuming ECM residue saved by @15173d91d17f with GMP-ECM 7.0.5-dev on Mon Mar  4 04:32:29 2024 
Input number is 4125997377110999866261418132367131648387879299965150074953336491586832756159800974359441879628082355355844183002029400794683069703303701924170917895473194326418543650099399268870432531665742000843 (196 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4250705594
Step 1 took 0ms
Step 2 took 9008ms
********** Factor found in step 2: 7402911474106062497910683255541255327511664401
Found prime factor of 46 digits: 7402911474106062497910683255541255327511664401
Composite cofactor 557347928790305314507205835466971042829832946259996118200060502303884408428815618768776714600724972001094332398492914024307147574289881196886561391643 has 150 digits

84006651926492027655833086570618162386822112420628949114679570126574322435451299605675982796614300027089231133152484144679825493526336423857328086385132117562193916583<167>

193425910998543711865171558907250430419210395886294057763658973295258557773701037649282521912555298481942945142073353063796276327659566569132597727592602865028982497343<168>

310481833030717251391965438840485843804675694969221369321909262603135704784135534929559896786335702336089614327740631719998277833281608733856055941679481266090363468755228225313417858660133275234338051237707<207>

102581426959429237220192960121286363869863767<45>

3026686625772053614490837903522539299370728498640979353553852264915427419296339641233170397559453727504448385483063461938017655428307049232219916342881640147755821<163>

Resuming ECM residue saved by @22b69890767c with GMP-ECM 7.0.5-dev on Thu Jan 26 13:18:22 2023 
Input number is 310481833030717251391965438840485843804675694969221369321909262603135704784135534929559896786335702336089614327740631719998277833281608733856055941679481266090363468755228225313417858660133275234338051237707 (207 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3484270392
Step 1 took 0ms
Step 2 took 18173ms
********** Factor found in step 2: 102581426959429237220192960121286363869863767
Found prime factor of 45 digits: 102581426959429237220192960121286363869863767
Composite cofactor 3026686625772053614490837903522539299370728498640979353553852264915427419296339641233170397559453727504448385483063461938017655428307049232219916342881640147755821 has 163 digits

3026686625772053614490837903522539299370728498640979353553852264915427419296339641233170397559453727504448385483063461938017655428307049232219916342881640147755821<163>

63606987751097941331571857302256480762930129851849<50>
123746988879065837672804658824514448376889901019508821<54>
384528017185089334651849682879953593539173170063688314393649<60>

Resuming ECM residue saved by @6c3d8eb03c0c with GMP-ECM 7.0.5-dev on Wed Mar 27 16:55:56 2024 
Input number is 3026686625772053614490837903522539299370728498640979353553852264915427419296339641233170397559453727504448385483063461938017655428307049232219916342881640147755821 (163 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1114342211
Step 1 took 0ms
Step 2 took 22266ms
********** Factor found in step 2: 63606987751097941331571857302256480762930129851849
Found prime factor of 50 digits: 63606987751097941331571857302256480762930129851849
Composite cofactor 47584184266292487209563608181331826334008363916193304392565351355066730480685583035194098310206300564046421877829 has 113 digits

c113 split by gnfs
-----------------------
N=47584184266292487209563608181331826334008363916193304392565351355066730480685583035194098310206300564046421877829
  ( 113 digits)
Divisors found:
 r1=123746988879065837672804658824514448376889901019508821 (pp54)
 r2=384528017185089334651849682879953593539173170063688314393649 (pp60)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.08 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 47584184266292487209563608181331826334008363916193304392565351355066730480685583035194098310206300564046421877829
skew: 49913.23
c0: 829321362773883037940335505
c1: 33830055757219700080821
c2: -5084799745664659937
c3: -21805838640377
c4: 1163475008
c5: 10452
Y0: -5390496501621432991822
Y1: 13314233894147
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 3980000/3980000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [1990000, 2090001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 203610 x 203848
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3980000,3980000,27,27,54,54,2.5,2.5,100000
total time: 0.08 hours.
 --------- CPU info (if available) ----------

33468063390763068854248296436604515475231005554965335019657187739836309125561326029935321685093552464828894727836036271531927058591529663879883859451779229739123856492215839155448736889<185>

3005439685469810869230689515840594755950971308304921589975733191070534901462348210341953110039800895000289642187860648489354838027455970955480164781579740698746278615679932304826494961<184>

2921365100298477157698139542531968304241889915710447759119699360146273696293863247910770377338872490191678631426779490111471888287664731873981552228046719743022513696701297154297998078825374354832743180997977497209563<217>

3726524590752150504134273237862943683919086341716843868578436445816141714787932947214359890884304813329547217185126917437155293987205229855021448626798595017970607659157429422570969806979110831929737943<202>

44068299048815973127912786945181289432706817520421068715078929584954547126732991176350753758142094832561015660518052114911364661994262397587432498413979257928192548477455879<173>

36266286455340443842723661374729445738754128412743<50>

1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553<124>

Resuming ECM residue saved by @5682a1ae3acd with GMP-ECM 7.0.5-dev on Fri Jan  6 20:39:55 2023 
Input number is 44068299048815973127912786945181289432706817520421068715078929584954547126732991176350753758142094832561015660518052114911364661994262397587432498413979257928192548477455879 (173 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3625921206
Step 1 took 1ms
Step 2 took 2948ms
********** Factor found in step 2: 36266286455340443842723661374729445738754128412743
Found prime factor of 50 digits: 36266286455340443842723661374729445738754128412743
Composite cofactor 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 has 124 digits

1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553<124>

4392402805985866812448649365780177896820292297638809682687<58>
276643862773164283552654761582287283493994926796019079765837027519<66>

-> makeJobFile(): Adjusted to q0=2600000, q1=2700000.
->               client 1 q0: 2600000
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-> makeJobFile(): Adjusted to q0=2700001, q1=2800000.
->               client 1 q0: 2700001
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-> makeJobFile(): Adjusted to q0=2800001, q1=2900000.
->               client 1 q0: 2800001
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-> makeJobFile(): Adjusted to q0=2900001, q1=3000000.
->               client 1 q0: 2900001
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-> makeJobFile(): Adjusted to q0=3000001, q1=3100000.
->               client 1 q0: 3000001
      LatSieveTime: 85
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-> makeJobFile(): Adjusted to q0=3100001, q1=3200000.
->               client 1 q0: 3100001
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-> makeJobFile(): Adjusted to q0=3200001, q1=3300000.
->               client 1 q0: 3200001
      LatSieveTime: 93
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-> makeJobFile(): Adjusted to q0=3300001, q1=3400000.
->               client 1 q0: 3300001
      LatSieveTime: 97
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-> makeJobFile(): Adjusted to q0=3400001, q1=3500000.
->               client 1 q0: 3400001
      LatSieveTime: 90
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-> makeJobFile(): Adjusted to q0=3500001, q1=3600000.
->               client 1 q0: 3500001
      LatSieveTime: 84
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-> makeJobFile(): Adjusted to q0=3600001, q1=3700000.
->               client 1 q0: 3600001
      LatSieveTime: 97
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-> makeJobFile(): Adjusted to q0=3700001, q1=3800000.
->               client 1 q0: 3700001
      LatSieveTime: 78
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-> makeJobFile(): Adjusted to q0=3800001, q1=3900000.
->               client 1 q0: 3800001
      LatSieveTime: 97
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-> makeJobFile(): Adjusted to q0=3900001, q1=4000000.
->               client 1 q0: 3900001
      LatSieveTime: 89
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-> makeJobFile(): Adjusted to q0=4000001, q1=4100000.
->               client 1 q0: 4000001
      LatSieveTime: 95
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        LatSieveTime: 120
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        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 129
-> makeJobFile(): Adjusted to q0=4100001, q1=4200000.
->               client 1 q0: 4100001
      LatSieveTime: 91
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 101
        LatSieveTime: 102
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 128
        LatSieveTime: 131
        LatSieveTime: 137
-> makeJobFile(): Adjusted to q0=4200001, q1=4300000.
->               client 1 q0: 4200001
      LatSieveTime: 91
        LatSieveTime: 93
        LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 99
        LatSieveTime: 102
        LatSieveTime: 104
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 132
        LatSieveTime: 132
-> makeJobFile(): Adjusted to q0=4300001, q1=4400000.
->               client 1 q0: 4300001
      LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
-> makeJobFile(): Adjusted to q0=4400001, q1=4500000.
->               client 1 q0: 4400001
      LatSieveTime: 93
        LatSieveTime: 97
        LatSieveTime: 99
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 133
        LatSieveTime: 134
        LatSieveTime: 134
-> makeJobFile(): Adjusted to q0=4500001, q1=4600000.
->               client 1 q0: 4500001
      LatSieveTime: 91
        LatSieveTime: 97
        LatSieveTime: 97
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 129
        LatSieveTime: 135
-> makeJobFile(): Adjusted to q0=4600001, q1=4700000.
->               client 1 q0: 4600001
      LatSieveTime: 86
        LatSieveTime: 88
        LatSieveTime: 93
        LatSieveTime: 96
        LatSieveTime: 99
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 134
        LatSieveTime: 135
        LatSieveTime: 136
        LatSieveTime: 140
-> makeJobFile(): Adjusted to q0=4700001, q1=4800000.
->               client 1 q0: 4700001
      LatSieveTime: 89
        LatSieveTime: 93
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 129
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
-> makeJobFile(): Adjusted to q0=4800001, q1=4900000.
->               client 1 q0: 4800001
      LatSieveTime: 84
        LatSieveTime: 98
        LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 128
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 136
Wed Jan 11 13:17:07 2023  
Wed Jan 11 13:17:07 2023  
Wed Jan 11 13:17:07 2023  Msieve v. 1.52 (SVN 927)
Wed Jan 11 13:17:07 2023  random seeds: 7fd8d6f8 32583236
Wed Jan 11 13:17:07 2023  factoring 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 (124 digits)
Wed Jan 11 13:17:08 2023  searching for 15-digit factors
Wed Jan 11 13:17:08 2023  commencing number field sieve (124-digit input)
Wed Jan 11 13:17:08 2023  R0: -429231990644275392456446
Wed Jan 11 13:17:08 2023  R1: 36494730442313
Wed Jan 11 13:17:08 2023  A0: -215930523737276685504706020975
Wed Jan 11 13:17:08 2023  A1: -6156477856026069350254498
Wed Jan 11 13:17:08 2023  A2: 106718794943493098561
Wed Jan 11 13:17:08 2023  A3: 398480011120268
Wed Jan 11 13:17:08 2023  A4: -7368912856
Wed Jan 11 13:17:08 2023  A5: 83400
Wed Jan 11 13:17:08 2023  skew 91719.93, size 5.745e-012, alpha -5.999, combined = 1.610e-010 rroots = 3
Wed Jan 11 13:17:08 2023  
Wed Jan 11 13:17:08 2023  commencing relation filtering
Wed Jan 11 13:17:08 2023  estimated available RAM is 65413.5 MB
Wed Jan 11 13:17:08 2023  commencing duplicate removal, pass 1
Wed Jan 11 13:17:24 2023  found 980801 hash collisions in 8357905 relations
Wed Jan 11 13:17:34 2023  added 62076 free relations
Wed Jan 11 13:17:34 2023  commencing duplicate removal, pass 2
Wed Jan 11 13:17:36 2023  found 651701 duplicates and 7768280 unique relations
Wed Jan 11 13:17:36 2023  memory use: 41.3 MB
Wed Jan 11 13:17:36 2023  reading ideals above 100000
Wed Jan 11 13:17:36 2023  commencing singleton removal, initial pass
Wed Jan 11 13:18:04 2023  memory use: 188.3 MB
Wed Jan 11 13:18:04 2023  reading all ideals from disk
Wed Jan 11 13:18:05 2023  memory use: 280.7 MB
Wed Jan 11 13:18:05 2023  keeping 9872830 ideals with weight <= 200, target excess is 40853
Wed Jan 11 13:18:05 2023  commencing in-memory singleton removal
Wed Jan 11 13:18:05 2023  begin with 7768280 relations and 9872830 unique ideals
Wed Jan 11 13:18:07 2023  reduce to 105 relations and 0 ideals in 15 passes
Wed Jan 11 13:18:07 2023  max relations containing the same ideal: 0
Wed Jan 11 13:18:07 2023  filtering wants 1000000 more relations
Wed Jan 11 13:18:07 2023  elapsed time 00:01:00
-> makeJobFile(): Adjusted to q0=4900001, q1=5000000.
->               client 1 q0: 4900001
   LatSieveTime: 87
        LatSieveTime: 95
        LatSieveTime: 100
        LatSieveTime: 103
        LatSieveTime: 104
        LatSieveTime: 105
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 126
        LatSieveTime: 127
        LatSieveTime: 127
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 130
        LatSieveTime: 131
Wed Jan 11 13:20:21 2023  
Wed Jan 11 13:20:21 2023  
Wed Jan 11 13:20:21 2023  Msieve v. 1.52 (SVN 927)
Wed Jan 11 13:20:21 2023  random seeds: 92d35900 5b84eada
Wed Jan 11 13:20:21 2023  factoring 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 (124 digits)
Wed Jan 11 13:20:22 2023  searching for 15-digit factors
Wed Jan 11 13:20:22 2023  commencing number field sieve (124-digit input)
Wed Jan 11 13:20:22 2023  R0: -429231990644275392456446
Wed Jan 11 13:20:22 2023  R1: 36494730442313
Wed Jan 11 13:20:22 2023  A0: -215930523737276685504706020975
Wed Jan 11 13:20:22 2023  A1: -6156477856026069350254498
Wed Jan 11 13:20:22 2023  A2: 106718794943493098561
Wed Jan 11 13:20:22 2023  A3: 398480011120268
Wed Jan 11 13:20:22 2023  A4: -7368912856
Wed Jan 11 13:20:22 2023  A5: 83400
Wed Jan 11 13:20:22 2023  skew 91719.93, size 5.745e-012, alpha -5.999, combined = 1.610e-010 rroots = 3
Wed Jan 11 13:20:22 2023  
Wed Jan 11 13:20:22 2023  commencing relation filtering
Wed Jan 11 13:20:22 2023  estimated available RAM is 65413.5 MB
Wed Jan 11 13:20:22 2023  commencing duplicate removal, pass 1
Wed Jan 11 13:20:39 2023  found 1059532 hash collisions in 8781428 relations
Wed Jan 11 13:20:49 2023  added 170 free relations
Wed Jan 11 13:20:49 2023  commencing duplicate removal, pass 2
Wed Jan 11 13:20:51 2023  found 700527 duplicates and 8081071 unique relations
Wed Jan 11 13:20:51 2023  memory use: 41.3 MB
Wed Jan 11 13:20:51 2023  reading ideals above 100000
Wed Jan 11 13:20:51 2023  commencing singleton removal, initial pass
Wed Jan 11 13:21:20 2023  memory use: 188.3 MB
Wed Jan 11 13:21:20 2023  reading all ideals from disk
Wed Jan 11 13:21:20 2023  memory use: 292.1 MB
Wed Jan 11 13:21:21 2023  keeping 10042717 ideals with weight <= 200, target excess is 42589
Wed Jan 11 13:21:21 2023  commencing in-memory singleton removal
Wed Jan 11 13:21:22 2023  begin with 8081071 relations and 10042717 unique ideals
Wed Jan 11 13:21:23 2023  reduce to 107 relations and 0 ideals in 21 passes
Wed Jan 11 13:21:23 2023  max relations containing the same ideal: 0
Wed Jan 11 13:21:23 2023  filtering wants 1000000 more relations
Wed Jan 11 13:21:23 2023  elapsed time 00:01:02
-> makeJobFile(): Adjusted to q0=5000001, q1=5100000.
->               client 1 q0: 5000001
  LatSieveTime: 100
        LatSieveTime: 102
        LatSieveTime: 106
        LatSieveTime: 106
        LatSieveTime: 107
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 109
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 114
        LatSieveTime: 115
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 118
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 125
        LatSieveTime: 126
        LatSieveTime: 126
        LatSieveTime: 128
        LatSieveTime: 129
        LatSieveTime: 129
Wed Jan 11 13:23:36 2023  
Wed Jan 11 13:23:36 2023  
Wed Jan 11 13:23:36 2023  Msieve v. 1.52 (SVN 927)
Wed Jan 11 13:23:36 2023  random seeds: ad9c6360 0197ee78
Wed Jan 11 13:23:36 2023  factoring 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 (124 digits)
Wed Jan 11 13:23:37 2023  searching for 15-digit factors
Wed Jan 11 13:23:37 2023  commencing number field sieve (124-digit input)
Wed Jan 11 13:23:37 2023  R0: -429231990644275392456446
Wed Jan 11 13:23:37 2023  R1: 36494730442313
Wed Jan 11 13:23:37 2023  A0: -215930523737276685504706020975
Wed Jan 11 13:23:37 2023  A1: -6156477856026069350254498
Wed Jan 11 13:23:37 2023  A2: 106718794943493098561
Wed Jan 11 13:23:37 2023  A3: 398480011120268
Wed Jan 11 13:23:37 2023  A4: -7368912856
Wed Jan 11 13:23:37 2023  A5: 83400
Wed Jan 11 13:23:37 2023  skew 91719.93, size 5.745e-012, alpha -5.999, combined = 1.610e-010 rroots = 3
Wed Jan 11 13:23:37 2023  
Wed Jan 11 13:23:37 2023  commencing relation filtering
Wed Jan 11 13:23:37 2023  estimated available RAM is 65413.5 MB
Wed Jan 11 13:23:37 2023  commencing duplicate removal, pass 1
Wed Jan 11 13:23:55 2023  found 1133474 hash collisions in 9139733 relations
Wed Jan 11 13:24:04 2023  added 150 free relations
Wed Jan 11 13:24:04 2023  commencing duplicate removal, pass 2
Wed Jan 11 13:24:07 2023  found 750382 duplicates and 8389501 unique relations
Wed Jan 11 13:24:07 2023  memory use: 41.3 MB
Wed Jan 11 13:24:07 2023  reading ideals above 100000
Wed Jan 11 13:24:07 2023  commencing singleton removal, initial pass
Wed Jan 11 13:24:37 2023  memory use: 188.3 MB
Wed Jan 11 13:24:37 2023  reading all ideals from disk
Wed Jan 11 13:24:37 2023  memory use: 303.3 MB
Wed Jan 11 13:24:38 2023  keeping 10203430 ideals with weight <= 200, target excess is 44199
Wed Jan 11 13:24:38 2023  commencing in-memory singleton removal
Wed Jan 11 13:24:38 2023  begin with 8389501 relations and 10203430 unique ideals
Wed Jan 11 13:24:46 2023  reduce to 1096227 relations and 1434894 ideals in 119 passes
Wed Jan 11 13:24:46 2023  max relations containing the same ideal: 49
Wed Jan 11 13:24:46 2023  filtering wants 1000000 more relations
Wed Jan 11 13:24:46 2023  elapsed time 00:01:10
-> makeJobFile(): Adjusted to q0=5100001, q1=5200000.
->               client 1 q0: 5100001
      LatSieveTime: 98
        LatSieveTime: 102
        LatSieveTime: 103
        LatSieveTime: 103
        LatSieveTime: 105
        LatSieveTime: 106
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 108
        LatSieveTime: 109
        LatSieveTime: 109
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 110
        LatSieveTime: 111
        LatSieveTime: 111
        LatSieveTime: 112
        LatSieveTime: 112
        LatSieveTime: 113
        LatSieveTime: 114
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 116
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 117
        LatSieveTime: 119
        LatSieveTime: 119
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 120
        LatSieveTime: 121
        LatSieveTime: 122
        LatSieveTime: 122
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 123
        LatSieveTime: 124
        LatSieveTime: 124
        LatSieveTime: 125
        LatSieveTime: 125
        LatSieveTime: 130
        LatSieveTime: 130
        LatSieveTime: 132
        LatSieveTime: 134
        LatSieveTime: 139
Wed Jan 11 13:27:10 2023  
Wed Jan 11 13:27:10 2023  
Wed Jan 11 13:27:10 2023  Msieve v. 1.52 (SVN 927)
Wed Jan 11 13:27:10 2023  random seeds: f9accd20 00d95867
Wed Jan 11 13:27:10 2023  factoring 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 (124 digits)
Wed Jan 11 13:27:10 2023  searching for 15-digit factors
Wed Jan 11 13:27:10 2023  commencing number field sieve (124-digit input)
Wed Jan 11 13:27:10 2023  R0: -429231990644275392456446
Wed Jan 11 13:27:10 2023  R1: 36494730442313
Wed Jan 11 13:27:10 2023  A0: -215930523737276685504706020975
Wed Jan 11 13:27:10 2023  A1: -6156477856026069350254498
Wed Jan 11 13:27:10 2023  A2: 106718794943493098561
Wed Jan 11 13:27:10 2023  A3: 398480011120268
Wed Jan 11 13:27:10 2023  A4: -7368912856
Wed Jan 11 13:27:10 2023  A5: 83400
Wed Jan 11 13:27:10 2023  skew 91719.93, size 5.745e-012, alpha -5.999, combined = 1.610e-010 rroots = 3
Wed Jan 11 13:27:10 2023  
Wed Jan 11 13:27:10 2023  commencing relation filtering
Wed Jan 11 13:27:10 2023  estimated available RAM is 65413.5 MB
Wed Jan 11 13:27:10 2023  commencing duplicate removal, pass 1
Wed Jan 11 13:27:29 2023  found 1210155 hash collisions in 9503725 relations
Wed Jan 11 13:27:39 2023  added 122 free relations
Wed Jan 11 13:27:39 2023  commencing duplicate removal, pass 2
Wed Jan 11 13:27:41 2023  found 802147 duplicates and 8701700 unique relations
Wed Jan 11 13:27:41 2023  memory use: 41.3 MB
Wed Jan 11 13:27:41 2023  reading ideals above 100000
Wed Jan 11 13:27:41 2023  commencing singleton removal, initial pass
Wed Jan 11 13:28:13 2023  memory use: 344.5 MB
Wed Jan 11 13:28:13 2023  reading all ideals from disk
Wed Jan 11 13:28:13 2023  memory use: 314.7 MB
Wed Jan 11 13:28:13 2023  keeping 10359263 ideals with weight <= 200, target excess is 45855
Wed Jan 11 13:28:13 2023  commencing in-memory singleton removal
Wed Jan 11 13:28:14 2023  begin with 8701700 relations and 10359263 unique ideals
Wed Jan 11 13:28:18 2023  reduce to 1855260 relations and 2141069 ideals in 39 passes
Wed Jan 11 13:28:18 2023  max relations containing the same ideal: 71
Wed Jan 11 13:28:18 2023  filtering wants 1000000 more relations
Wed Jan 11 13:28:18 2023  elapsed time 00:01:08
-> makeJobFile(): Adjusted to q0=5200001, q1=5300000.
->               client 1 q0: 5200001
       LatSieveTime: 90
        LatSieveTime: 99
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        LatSieveTime: 136
Wed Jan 11 13:30:39 2023  
Wed Jan 11 13:30:39 2023  
Wed Jan 11 13:30:39 2023  Msieve v. 1.52 (SVN 927)
Wed Jan 11 13:30:39 2023  random seeds: d8d33b20 7adce0d9
Wed Jan 11 13:30:39 2023  factoring 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 (124 digits)
Wed Jan 11 13:30:39 2023  searching for 15-digit factors
Wed Jan 11 13:30:39 2023  commencing number field sieve (124-digit input)
Wed Jan 11 13:30:39 2023  R0: -429231990644275392456446
Wed Jan 11 13:30:39 2023  R1: 36494730442313
Wed Jan 11 13:30:39 2023  A0: -215930523737276685504706020975
Wed Jan 11 13:30:39 2023  A1: -6156477856026069350254498
Wed Jan 11 13:30:39 2023  A2: 106718794943493098561
Wed Jan 11 13:30:39 2023  A3: 398480011120268
Wed Jan 11 13:30:39 2023  A4: -7368912856
Wed Jan 11 13:30:39 2023  A5: 83400
Wed Jan 11 13:30:39 2023  skew 91719.93, size 5.745e-012, alpha -5.999, combined = 1.610e-010 rroots = 3
Wed Jan 11 13:30:39 2023  
Wed Jan 11 13:30:39 2023  commencing relation filtering
Wed Jan 11 13:30:39 2023  estimated available RAM is 65413.5 MB
Wed Jan 11 13:30:39 2023  commencing duplicate removal, pass 1
Wed Jan 11 13:30:59 2023  found 1287750 hash collisions in 9862131 relations
Wed Jan 11 13:31:09 2023  added 95 free relations
Wed Jan 11 13:31:09 2023  commencing duplicate removal, pass 2
Wed Jan 11 13:31:12 2023  found 855050 duplicates and 9007176 unique relations
Wed Jan 11 13:31:12 2023  memory use: 41.3 MB
Wed Jan 11 13:31:12 2023  reading ideals above 100000
Wed Jan 11 13:31:12 2023  commencing singleton removal, initial pass
Wed Jan 11 13:31:46 2023  memory use: 344.5 MB
Wed Jan 11 13:31:46 2023  reading all ideals from disk
Wed Jan 11 13:31:46 2023  memory use: 325.9 MB
Wed Jan 11 13:31:46 2023  keeping 10506127 ideals with weight <= 200, target excess is 47634
Wed Jan 11 13:31:46 2023  commencing in-memory singleton removal
Wed Jan 11 13:31:47 2023  begin with 9007176 relations and 10506127 unique ideals
Wed Jan 11 13:31:51 2023  reduce to 2364572 relations and 2580240 ideals in 33 passes
Wed Jan 11 13:31:51 2023  max relations containing the same ideal: 82
Wed Jan 11 13:31:52 2023  filtering wants 1000000 more relations
Wed Jan 11 13:31:52 2023  elapsed time 00:01:13
-> makeJobFile(): Adjusted to q0=5300001, q1=5400000.
->               client 1 q0: 5300001
        LatSieveTime: 97
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Wed Jan 11 13:34:16 2023  
Wed Jan 11 13:34:16 2023  
Wed Jan 11 13:34:16 2023  Msieve v. 1.52 (SVN 927)
Wed Jan 11 13:34:16 2023  random seeds: 8d21d0f4 612bf6c2
Wed Jan 11 13:34:16 2023  factoring 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 (124 digits)
Wed Jan 11 13:34:16 2023  searching for 15-digit factors
Wed Jan 11 13:34:16 2023  commencing number field sieve (124-digit input)
Wed Jan 11 13:34:16 2023  R0: -429231990644275392456446
Wed Jan 11 13:34:16 2023  R1: 36494730442313
Wed Jan 11 13:34:16 2023  A0: -215930523737276685504706020975
Wed Jan 11 13:34:16 2023  A1: -6156477856026069350254498
Wed Jan 11 13:34:16 2023  A2: 106718794943493098561
Wed Jan 11 13:34:16 2023  A3: 398480011120268
Wed Jan 11 13:34:16 2023  A4: -7368912856
Wed Jan 11 13:34:16 2023  A5: 83400
Wed Jan 11 13:34:16 2023  skew 91719.93, size 5.745e-012, alpha -5.999, combined = 1.610e-010 rroots = 3
Wed Jan 11 13:34:16 2023  
Wed Jan 11 13:34:16 2023  commencing relation filtering
Wed Jan 11 13:34:16 2023  estimated available RAM is 65413.5 MB
Wed Jan 11 13:34:16 2023  commencing duplicate removal, pass 1
Wed Jan 11 13:34:37 2023  found 1130406 hash collisions in 10216946 relations
Wed Jan 11 13:34:47 2023  added 103 free relations
Wed Jan 11 13:34:47 2023  commencing duplicate removal, pass 2
Wed Jan 11 13:34:51 2023  found 908318 duplicates and 9308731 unique relations
Wed Jan 11 13:34:51 2023  memory use: 49.3 MB
Wed Jan 11 13:34:51 2023  reading ideals above 100000
Wed Jan 11 13:34:51 2023  commencing singleton removal, initial pass
Wed Jan 11 13:35:25 2023  memory use: 344.5 MB
Wed Jan 11 13:35:25 2023  reading all ideals from disk
Wed Jan 11 13:35:25 2023  memory use: 336.9 MB
Wed Jan 11 13:35:25 2023  keeping 10645043 ideals with weight <= 200, target excess is 49288
Wed Jan 11 13:35:26 2023  commencing in-memory singleton removal
Wed Jan 11 13:35:26 2023  begin with 9308731 relations and 10645043 unique ideals
Wed Jan 11 13:35:31 2023  reduce to 2829750 relations and 2962842 ideals in 24 passes
Wed Jan 11 13:35:31 2023  max relations containing the same ideal: 94
Wed Jan 11 13:35:31 2023  filtering wants 1000000 more relations
Wed Jan 11 13:35:31 2023  elapsed time 00:01:15
-> makeJobFile(): Adjusted to q0=5400001, q1=5500000.
->               client 1 q0: 5400001
      LatSieveTime: 93
        LatSieveTime: 95
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Wed Jan 11 13:37:54 2023  
Wed Jan 11 13:37:54 2023  
Wed Jan 11 13:37:54 2023  Msieve v. 1.52 (SVN 927)
Wed Jan 11 13:37:54 2023  random seeds: d3d4d1c0 04c76039
Wed Jan 11 13:37:54 2023  factoring 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 (124 digits)
Wed Jan 11 13:37:55 2023  searching for 15-digit factors
Wed Jan 11 13:37:55 2023  commencing number field sieve (124-digit input)
Wed Jan 11 13:37:55 2023  R0: -429231990644275392456446
Wed Jan 11 13:37:55 2023  R1: 36494730442313
Wed Jan 11 13:37:55 2023  A0: -215930523737276685504706020975
Wed Jan 11 13:37:55 2023  A1: -6156477856026069350254498
Wed Jan 11 13:37:55 2023  A2: 106718794943493098561
Wed Jan 11 13:37:55 2023  A3: 398480011120268
Wed Jan 11 13:37:55 2023  A4: -7368912856
Wed Jan 11 13:37:55 2023  A5: 83400
Wed Jan 11 13:37:55 2023  skew 91719.93, size 5.745e-012, alpha -5.999, combined = 1.610e-010 rroots = 3
Wed Jan 11 13:37:55 2023  
Wed Jan 11 13:37:55 2023  commencing relation filtering
Wed Jan 11 13:37:55 2023  estimated available RAM is 65413.5 MB
Wed Jan 11 13:37:55 2023  commencing duplicate removal, pass 1
Wed Jan 11 13:38:16 2023  found 1197774 hash collisions in 10576278 relations
Wed Jan 11 13:38:26 2023  added 63 free relations
Wed Jan 11 13:38:26 2023  commencing duplicate removal, pass 2
Wed Jan 11 13:38:30 2023  found 963232 duplicates and 9613109 unique relations
Wed Jan 11 13:38:30 2023  memory use: 49.3 MB
Wed Jan 11 13:38:30 2023  reading ideals above 100000
Wed Jan 11 13:38:30 2023  commencing singleton removal, initial pass
Wed Jan 11 13:39:05 2023  memory use: 344.5 MB
Wed Jan 11 13:39:05 2023  reading all ideals from disk
Wed Jan 11 13:39:05 2023  memory use: 348.0 MB
Wed Jan 11 13:39:05 2023  keeping 10779959 ideals with weight <= 200, target excess is 50952
Wed Jan 11 13:39:06 2023  commencing in-memory singleton removal
Wed Jan 11 13:39:06 2023  begin with 9613109 relations and 10779959 unique ideals
Wed Jan 11 13:39:11 2023  reduce to 3275210 relations and 3312974 ideals in 23 passes
Wed Jan 11 13:39:11 2023  max relations containing the same ideal: 101
Wed Jan 11 13:39:11 2023  filtering wants 1000000 more relations
Wed Jan 11 13:39:11 2023  elapsed time 00:01:17
-> makeJobFile(): Adjusted to q0=5500001, q1=5600000.
->               client 1 q0: 5500001
      LatSieveTime: 87
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Wed Jan 11 13:41:24 2023  
Wed Jan 11 13:41:24 2023  
Wed Jan 11 13:41:24 2023  Msieve v. 1.52 (SVN 927)
Wed Jan 11 13:41:24 2023  random seeds: 4d82fdb0 b83fd681
Wed Jan 11 13:41:24 2023  factoring 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 (124 digits)
Wed Jan 11 13:41:24 2023  searching for 15-digit factors
Wed Jan 11 13:41:24 2023  commencing number field sieve (124-digit input)
Wed Jan 11 13:41:24 2023  R0: -429231990644275392456446
Wed Jan 11 13:41:24 2023  R1: 36494730442313
Wed Jan 11 13:41:24 2023  A0: -215930523737276685504706020975
Wed Jan 11 13:41:24 2023  A1: -6156477856026069350254498
Wed Jan 11 13:41:24 2023  A2: 106718794943493098561
Wed Jan 11 13:41:24 2023  A3: 398480011120268
Wed Jan 11 13:41:24 2023  A4: -7368912856
Wed Jan 11 13:41:24 2023  A5: 83400
Wed Jan 11 13:41:24 2023  skew 91719.93, size 5.745e-012, alpha -5.999, combined = 1.610e-010 rroots = 3
Wed Jan 11 13:41:24 2023  
Wed Jan 11 13:41:24 2023  commencing relation filtering
Wed Jan 11 13:41:24 2023  estimated available RAM is 65413.5 MB
Wed Jan 11 13:41:24 2023  commencing duplicate removal, pass 1
Wed Jan 11 13:41:46 2023  found 1264463 hash collisions in 10923478 relations
Wed Jan 11 13:41:56 2023  added 57 free relations
Wed Jan 11 13:41:56 2023  commencing duplicate removal, pass 2
Wed Jan 11 13:42:00 2023  found 1017988 duplicates and 9905547 unique relations
Wed Jan 11 13:42:00 2023  memory use: 49.3 MB
Wed Jan 11 13:42:00 2023  reading ideals above 100000
Wed Jan 11 13:42:00 2023  commencing singleton removal, initial pass
Wed Jan 11 13:42:36 2023  memory use: 344.5 MB
Wed Jan 11 13:42:36 2023  reading all ideals from disk
Wed Jan 11 13:42:36 2023  memory use: 358.7 MB
Wed Jan 11 13:42:36 2023  keeping 10905218 ideals with weight <= 200, target excess is 52510
Wed Jan 11 13:42:37 2023  commencing in-memory singleton removal
Wed Jan 11 13:42:37 2023  begin with 9905547 relations and 10905218 unique ideals
Wed Jan 11 13:42:42 2023  reduce to 3692769 relations and 3628987 ideals in 21 passes
Wed Jan 11 13:42:42 2023  max relations containing the same ideal: 104
Wed Jan 11 13:42:43 2023  relations with 0 large ideals: 138
Wed Jan 11 13:42:43 2023  relations with 1 large ideals: 383
Wed Jan 11 13:42:43 2023  relations with 2 large ideals: 6053
Wed Jan 11 13:42:43 2023  relations with 3 large ideals: 53045
Wed Jan 11 13:42:43 2023  relations with 4 large ideals: 252100
Wed Jan 11 13:42:43 2023  relations with 5 large ideals: 680348
Wed Jan 11 13:42:43 2023  relations with 6 large ideals: 1068825
Wed Jan 11 13:42:43 2023  relations with 7+ large ideals: 1631877
Wed Jan 11 13:42:43 2023  commencing 2-way merge
Wed Jan 11 13:42:45 2023  reduce to 2033576 relation sets and 1970424 unique ideals
Wed Jan 11 13:42:45 2023  ignored 630 oversize relation sets
Wed Jan 11 13:42:45 2023  commencing full merge
Wed Jan 11 13:43:35 2023  memory use: 94.1 MB
Wed Jan 11 13:43:36 2023  found 56138 cycles, need 436603
Wed Jan 11 13:43:36 2023  too few cycles, matrix probably cannot build
-> makeJobFile(): Adjusted to q0=5600001, q1=5700000.
->               client 1 q0: 5600001
   LatSieveTime: 87
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Wed Jan 11 13:45:49 2023  
Wed Jan 11 13:45:49 2023  
Wed Jan 11 13:45:49 2023  Msieve v. 1.52 (SVN 927)
Wed Jan 11 13:45:49 2023  random seeds: 29a13f20 ac6811f6
Wed Jan 11 13:45:49 2023  factoring 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 (124 digits)
Wed Jan 11 13:45:50 2023  searching for 15-digit factors
Wed Jan 11 13:45:50 2023  commencing number field sieve (124-digit input)
Wed Jan 11 13:45:50 2023  R0: -429231990644275392456446
Wed Jan 11 13:45:50 2023  R1: 36494730442313
Wed Jan 11 13:45:50 2023  A0: -215930523737276685504706020975
Wed Jan 11 13:45:50 2023  A1: -6156477856026069350254498
Wed Jan 11 13:45:50 2023  A2: 106718794943493098561
Wed Jan 11 13:45:50 2023  A3: 398480011120268
Wed Jan 11 13:45:50 2023  A4: -7368912856
Wed Jan 11 13:45:50 2023  A5: 83400
Wed Jan 11 13:45:50 2023  skew 91719.93, size 5.745e-012, alpha -5.999, combined = 1.610e-010 rroots = 3
Wed Jan 11 13:45:50 2023  
Wed Jan 11 13:45:50 2023  commencing relation filtering
Wed Jan 11 13:45:50 2023  estimated available RAM is 65413.5 MB
Wed Jan 11 13:45:50 2023  commencing duplicate removal, pass 1
Wed Jan 11 13:46:12 2023  found 1332080 hash collisions in 11268684 relations
Wed Jan 11 13:46:22 2023  added 54 free relations
Wed Jan 11 13:46:22 2023  commencing duplicate removal, pass 2
Wed Jan 11 13:46:26 2023  found 1073803 duplicates and 10194935 unique relations
Wed Jan 11 13:46:26 2023  memory use: 49.3 MB
Wed Jan 11 13:46:26 2023  reading ideals above 720000
Wed Jan 11 13:46:26 2023  commencing singleton removal, initial pass
Wed Jan 11 13:46:59 2023  memory use: 344.5 MB
Wed Jan 11 13:46:59 2023  reading all ideals from disk
Wed Jan 11 13:47:00 2023  memory use: 296.3 MB
Wed Jan 11 13:47:00 2023  commencing in-memory singleton removal
Wed Jan 11 13:47:00 2023  begin with 10194935 relations and 10963238 unique ideals
Wed Jan 11 13:47:05 2023  reduce to 4096708 relations and 3862014 ideals in 21 passes
Wed Jan 11 13:47:05 2023  max relations containing the same ideal: 81
Wed Jan 11 13:47:06 2023  removing 492863 relations and 442689 ideals in 50174 cliques
Wed Jan 11 13:47:07 2023  commencing in-memory singleton removal
Wed Jan 11 13:47:07 2023  begin with 3603845 relations and 3862014 unique ideals
Wed Jan 11 13:47:08 2023  reduce to 3553155 relations and 3367753 ideals in 11 passes
Wed Jan 11 13:47:08 2023  max relations containing the same ideal: 72
Wed Jan 11 13:47:09 2023  removing 365776 relations and 315602 ideals in 50174 cliques
Wed Jan 11 13:47:09 2023  commencing in-memory singleton removal
Wed Jan 11 13:47:09 2023  begin with 3187379 relations and 3367753 unique ideals
Wed Jan 11 13:47:09 2023  reduce to 3154821 relations and 3019157 ideals in 9 passes
Wed Jan 11 13:47:09 2023  max relations containing the same ideal: 64
Wed Jan 11 13:47:10 2023  relations with 0 large ideals: 462
Wed Jan 11 13:47:10 2023  relations with 1 large ideals: 2789
Wed Jan 11 13:47:10 2023  relations with 2 large ideals: 36903
Wed Jan 11 13:47:10 2023  relations with 3 large ideals: 203580
Wed Jan 11 13:47:10 2023  relations with 4 large ideals: 580207
Wed Jan 11 13:47:10 2023  relations with 5 large ideals: 916117
Wed Jan 11 13:47:10 2023  relations with 6 large ideals: 830853
Wed Jan 11 13:47:10 2023  relations with 7+ large ideals: 583910
Wed Jan 11 13:47:10 2023  commencing 2-way merge
Wed Jan 11 13:47:12 2023  reduce to 1805648 relation sets and 1669985 unique ideals
Wed Jan 11 13:47:12 2023  ignored 1 oversize relation sets
Wed Jan 11 13:47:12 2023  commencing full merge
Wed Jan 11 13:47:29 2023  memory use: 187.8 MB
Wed Jan 11 13:47:30 2023  found 900124 cycles, need 882185
Wed Jan 11 13:47:30 2023  weight of 882185 cycles is about 61988018 (70.27/cycle)
Wed Jan 11 13:47:30 2023  distribution of cycle lengths:
Wed Jan 11 13:47:30 2023  1 relations: 115305
Wed Jan 11 13:47:30 2023  2 relations: 104201
Wed Jan 11 13:47:30 2023  3 relations: 101495
Wed Jan 11 13:47:30 2023  4 relations: 89651
Wed Jan 11 13:47:30 2023  5 relations: 80310
Wed Jan 11 13:47:30 2023  6 relations: 67244
Wed Jan 11 13:47:30 2023  7 relations: 59560
Wed Jan 11 13:47:30 2023  8 relations: 50506
Wed Jan 11 13:47:30 2023  9 relations: 42776
Wed Jan 11 13:47:30 2023  10+ relations: 171137
Wed Jan 11 13:47:30 2023  heaviest cycle: 21 relations
Wed Jan 11 13:47:30 2023  commencing cycle optimization
Wed Jan 11 13:47:30 2023  start with 5181114 relations
Wed Jan 11 13:47:36 2023  pruned 107522 relations
Wed Jan 11 13:47:36 2023  memory use: 176.8 MB
Wed Jan 11 13:47:36 2023  distribution of cycle lengths:
Wed Jan 11 13:47:36 2023  1 relations: 115305
Wed Jan 11 13:47:36 2023  2 relations: 106399
Wed Jan 11 13:47:36 2023  3 relations: 104778
Wed Jan 11 13:47:36 2023  4 relations: 91501
Wed Jan 11 13:47:36 2023  5 relations: 81607
Wed Jan 11 13:47:36 2023  6 relations: 67998
Wed Jan 11 13:47:36 2023  7 relations: 59852
Wed Jan 11 13:47:36 2023  8 relations: 50147
Wed Jan 11 13:47:36 2023  9 relations: 42644
Wed Jan 11 13:47:36 2023  10+ relations: 161954
Wed Jan 11 13:47:36 2023  heaviest cycle: 21 relations
Wed Jan 11 13:47:37 2023  RelProcTime: 107
Wed Jan 11 13:47:37 2023  elapsed time 00:01:48
Wed Jan 11 13:47:37 2023  
Wed Jan 11 13:47:37 2023  
Wed Jan 11 13:47:37 2023  Msieve v. 1.52 (SVN 927)
Wed Jan 11 13:47:37 2023  random seeds: 2d2c1c80 6eb9f715
Wed Jan 11 13:47:37 2023  factoring 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 (124 digits)
Wed Jan 11 13:47:37 2023  searching for 15-digit factors
Wed Jan 11 13:47:37 2023  commencing number field sieve (124-digit input)
Wed Jan 11 13:47:37 2023  R0: -429231990644275392456446
Wed Jan 11 13:47:37 2023  R1: 36494730442313
Wed Jan 11 13:47:37 2023  A0: -215930523737276685504706020975
Wed Jan 11 13:47:37 2023  A1: -6156477856026069350254498
Wed Jan 11 13:47:37 2023  A2: 106718794943493098561
Wed Jan 11 13:47:37 2023  A3: 398480011120268
Wed Jan 11 13:47:37 2023  A4: -7368912856
Wed Jan 11 13:47:37 2023  A5: 83400
Wed Jan 11 13:47:37 2023  skew 91719.93, size 5.745e-012, alpha -5.999, combined = 1.610e-010 rroots = 3
Wed Jan 11 13:47:37 2023  
Wed Jan 11 13:47:37 2023  commencing linear algebra
Wed Jan 11 13:47:38 2023  read 882185 cycles
Wed Jan 11 13:47:38 2023  cycles contain 3008524 unique relations
Wed Jan 11 13:47:45 2023  read 3008524 relations
Wed Jan 11 13:47:47 2023  using 20 quadratic characters above 134216862
Wed Jan 11 13:47:55 2023  building initial matrix
Wed Jan 11 13:48:12 2023  memory use: 388.6 MB
Wed Jan 11 13:48:13 2023  read 882185 cycles
Wed Jan 11 13:48:13 2023  matrix is 882003 x 882185 (265.0 MB) with weight 84269914 (95.52/col)
Wed Jan 11 13:48:13 2023  sparse part has weight 59751088 (67.73/col)
Wed Jan 11 13:48:17 2023  filtering completed in 2 passes
Wed Jan 11 13:48:17 2023  matrix is 879202 x 879384 (264.7 MB) with weight 84140781 (95.68/col)
Wed Jan 11 13:48:17 2023  sparse part has weight 59705801 (67.90/col)
Wed Jan 11 13:48:18 2023  matrix starts at (0, 0)
Wed Jan 11 13:48:19 2023  matrix is 879202 x 879384 (264.7 MB) with weight 84140781 (95.68/col)
Wed Jan 11 13:48:19 2023  sparse part has weight 59705801 (67.90/col)
Wed Jan 11 13:48:19 2023  saving the first 48 matrix rows for later
Wed Jan 11 13:48:19 2023  matrix includes 64 packed rows
Wed Jan 11 13:48:19 2023  matrix is 879154 x 879384 (255.8 MB) with weight 66614212 (75.75/col)
Wed Jan 11 13:48:19 2023  sparse part has weight 58269352 (66.26/col)
Wed Jan 11 13:48:19 2023  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
Wed Jan 11 13:48:22 2023  commencing Lanczos iteration (32 threads)
Wed Jan 11 13:48:22 2023  memory use: 200.6 MB
Wed Jan 11 13:48:23 2023  linear algebra at 0.4%, ETA 0h 4m
Wed Jan 11 13:56:27 2023  lanczos halted after 13903 iterations (dim = 879154)
Wed Jan 11 13:56:27 2023  recovered 33 nontrivial dependencies
Wed Jan 11 13:56:27 2023  BLanczosTime: 530
Wed Jan 11 13:56:27 2023  elapsed time 00:08:50
Wed Jan 11 13:56:27 2023  
Wed Jan 11 13:56:27 2023  
Wed Jan 11 13:56:27 2023  Msieve v. 1.52 (SVN 927)
Wed Jan 11 13:56:27 2023  random seeds: f5caad40 43905994
Wed Jan 11 13:56:27 2023  factoring 1215131279103615880978157184929123408155790525635420548823549878892908054507951979161781233497164939375224814955367676863553 (124 digits)
Wed Jan 11 13:56:28 2023  searching for 15-digit factors
Wed Jan 11 13:56:28 2023  commencing number field sieve (124-digit input)
Wed Jan 11 13:56:28 2023  R0: -429231990644275392456446
Wed Jan 11 13:56:28 2023  R1: 36494730442313
Wed Jan 11 13:56:28 2023  A0: -215930523737276685504706020975
Wed Jan 11 13:56:28 2023  A1: -6156477856026069350254498
Wed Jan 11 13:56:28 2023  A2: 106718794943493098561
Wed Jan 11 13:56:28 2023  A3: 398480011120268
Wed Jan 11 13:56:28 2023  A4: -7368912856
Wed Jan 11 13:56:28 2023  A5: 83400
Wed Jan 11 13:56:28 2023  skew 91719.93, size 5.745e-012, alpha -5.999, combined = 1.610e-010 rroots = 3
Wed Jan 11 13:56:28 2023  
Wed Jan 11 13:56:28 2023  commencing square root phase
Wed Jan 11 13:56:28 2023  reading relations for dependency 1
Wed Jan 11 13:56:28 2023  read 438699 cycles
Wed Jan 11 13:56:28 2023  cycles contain 1500978 unique relations
Wed Jan 11 13:56:32 2023  read 1500978 relations
Wed Jan 11 13:56:35 2023  multiplying 1500978 relations
Wed Jan 11 13:57:17 2023  multiply complete, coefficients have about 69.90 million bits
Wed Jan 11 13:57:18 2023  initial square root is modulo 104087
Wed Jan 11 13:58:09 2023  GCD is N, no factor found
Wed Jan 11 13:58:09 2023  reading relations for dependency 2
Wed Jan 11 13:58:09 2023  read 439173 cycles
Wed Jan 11 13:58:09 2023  cycles contain 1502652 unique relations
Wed Jan 11 13:58:13 2023  read 1502652 relations
Wed Jan 11 13:58:16 2023  multiplying 1502652 relations
Wed Jan 11 13:58:58 2023  multiply complete, coefficients have about 69.98 million bits
Wed Jan 11 13:58:58 2023  initial square root is modulo 105491
Wed Jan 11 13:59:49 2023  GCD is N, no factor found
Wed Jan 11 13:59:49 2023  reading relations for dependency 3
Wed Jan 11 13:59:49 2023  read 439689 cycles
Wed Jan 11 13:59:50 2023  cycles contain 1503088 unique relations
Wed Jan 11 13:59:53 2023  read 1503088 relations
Wed Jan 11 13:59:57 2023  multiplying 1503088 relations
Wed Jan 11 14:00:39 2023  multiply complete, coefficients have about 70.00 million bits
Wed Jan 11 14:00:39 2023  initial square root is modulo 105871
Wed Jan 11 14:01:30 2023  sqrtTime: 302
Wed Jan 11 14:01:31 2023  prp58 factor: 4392402805985866812448649365780177896820292297638809682687
Wed Jan 11 14:01:31 2023  prp66 factor: 276643862773164283552654761582287283493994926796019079765837027519
Wed Jan 11 14:01:31 2023  elapsed time 00:05:04

GNFS, Msieve

1288982822070326595257332017795211047728714614229361492438478415200510559735757958909603484209268486970980466541234458605870105943268977516282171204707563718036115775266273418892561544458637817<193>

1168699493172791649613065598521987300060875142250691882986594535955593390115379241745369591158643157772908123479157826472482891784925682885491335507016035151612176182695768058923604956434013242405063627641<205>

84597605672812200846956045118597439710731607755161842998285082363373403793758935470414963164546160588835268628584136101338805767664665454176433349677260573343131316999893445510298326945909991775564323310571410147939<215>

15503976188544942912242149834459165546235854061<47>

5456510294134535485561795921334051149419010190142797910052710588021421615737702517963459096781053621329731314141390100552776336828644798534041611542099599494937633081999<169>

Resuming ECM residue saved by @15173d91d17f with GMP-ECM 7.0.5-dev on Mon Mar  4 05:15:23 2024 
Input number is 84597605672812200846956045118597439710731607755161842998285082363373403793758935470414963164546160588835268628584136101338805767664665454176433349677260573343131316999893445510298326945909991775564323310571410147939 (215 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:429966731
Step 1 took 0ms
Step 2 took 9614ms
********** Factor found in step 2: 15503976188544942912242149834459165546235854061
Found prime factor of 47 digits: 15503976188544942912242149834459165546235854061
Composite cofactor 5456510294134535485561795921334051149419010190142797910052710588021421615737702517963459096781053621329731314141390100552776336828644798534041611542099599494937633081999 has 169 digits

5932034789502567129151442441550911324517911381899669284684405451420196420567796849222362917481400390997191242962243581520025790010780666147242069428772289433<157>

2781055677267351320691431691979914632151833800603<49>
2133015472502639372912706919728054717786822484065147012156284781716459928742961889898372696180431924845307611<109>

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 5932034789502567129151442441550911324517911381899669284684405451420196420567796849222362917481400390997191242962243581520025790010780666147242069428772289433 (157 digits)
[Wed Nov 13 08:51:08 2024]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:8967628937628302458
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 75312ms
Using 20 small primes for NTT
Estimated memory usage: 231.70MB
Initializing tables of differences for F took 32ms
Computing roots of F took 1531ms
Building F from its roots took 1407ms
Computing 1/F took 625ms
Initializing table of differences for G took 31ms
Computing roots of G took 1187ms
Building G from its roots took 1375ms
Computing roots of G took 1203ms
Building G from its roots took 1406ms
Computing G * H took 344ms
Reducing  G * H mod F took 344ms
Computing roots of G took 1187ms
Building G from its roots took 1454ms
Computing G * H took 343ms
Reducing  G * H mod F took 344ms
Computing roots of G took 1203ms
Building G from its roots took 1469ms
Computing G * H took 328ms
Reducing  G * H mod F took 328ms
Computing roots of G took 1250ms
Building G from its roots took 1313ms
Computing G * H took 297ms
Reducing  G * H mod F took 343ms
Computing polyeval(F,G) took 2766ms
Computing product of all F(g_i) took 15ms
Step 2 took 22250ms
********** Factor found in step 2: 2781055677267351320691431691979914632151833800603
Found prime factor of 49 digits: 2781055677267351320691431691979914632151833800603
Prime cofactor 2133015472502639372912706919728054717786822484065147012156284781716459928742961889898372696180431924845307611 has 109 digits
Peak memory usage: 325MB

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc]

571895960975879414231304604652835507635162472030025509755069990926232663646841199800156959656571865667012862218900752408365262271515528264719324801989<150>

122164496992886471042803280630079170382961348893892083944394722804337283278795075944023717842399993877339760583754860194203061764185486403293475291877889847<156>

222483558868780868358683068660709575744005957331718964114512482303<66>
549094493157304147691802127993819090306399134674543662385167757989371027698993991117519049<90>

Sun Nov 10 19:03:00 2024  
Sun Nov 10 19:03:00 2024  
Sun Nov 10 19:03:00 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sun Nov 10 19:03:00 2024  random seeds: a0388d18 deeae659
Sun Nov 10 19:03:00 2024  factoring 122164496992886471042803280630079170382961348893892083944394722804337283278795075944023717842399993877339760583754860194203061764185486403293475291877889847 (156 digits)
Sun Nov 10 19:03:01 2024  searching for 15-digit factors
Sun Nov 10 19:03:01 2024  commencing number field sieve (156-digit input)
Sun Nov 10 19:03:01 2024  R0: 834493263501820877174304566855
Sun Nov 10 19:03:01 2024  R1: 256859466152075646831059
Sun Nov 10 19:03:01 2024  A0: 1608056142029363208152686895325285048
Sun Nov 10 19:03:01 2024  A1: 5593762550568904299584280917761
Sun Nov 10 19:03:01 2024  A2: -2607145683431198697962353
Sun Nov 10 19:03:01 2024  A3: -2697442973348495381
Sun Nov 10 19:03:01 2024  A4: 914585548970
Sun Nov 10 19:03:01 2024  A5: 113400
Sun Nov 10 19:03:01 2024  skew 1785111.43, size 5.003e-15, alpha -6.100, combined = 2.965e-12 rroots = 5
Sun Nov 10 19:03:01 2024  
Sun Nov 10 19:03:01 2024  commencing relation filtering
Sun Nov 10 19:03:01 2024  setting target matrix density to 120.0
Sun Nov 10 19:03:01 2024  estimated available RAM is 64046.8 MB
Sun Nov 10 19:03:01 2024  commencing duplicate removal, pass 1
Sun Nov 10 19:08:55 2024  found 5631349 hash collisions in 113846471 relations
Sun Nov 10 19:09:11 2024  added 122109 free relations
Sun Nov 10 19:09:11 2024  commencing duplicate removal, pass 2
Sun Nov 10 19:09:32 2024  found 0 duplicates and 113968580 unique relations
Sun Nov 10 19:09:32 2024  memory use: 378.4 MB
Sun Nov 10 19:09:32 2024  reading ideals above 720000
Sun Nov 10 19:09:32 2024  commencing singleton removal, initial pass
Sun Nov 10 19:15:08 2024  memory use: 3012.0 MB
Sun Nov 10 19:15:08 2024  reading all ideals from disk
Sun Nov 10 19:15:09 2024  memory use: 4095.4 MB
Sun Nov 10 19:15:14 2024  keeping 127046748 ideals with weight <= 200, target excess is 759273
Sun Nov 10 19:15:22 2024  commencing in-memory singleton removal
Sun Nov 10 19:15:26 2024  begin with 113968580 relations and 127046748 unique ideals
Sun Nov 10 19:15:59 2024  reduce to 34237448 relations and 32210030 ideals in 23 passes
Sun Nov 10 19:15:59 2024  max relations containing the same ideal: 91
Sun Nov 10 19:16:09 2024  removing 4430617 relations and 4030617 ideals in 400000 cliques
Sun Nov 10 19:16:10 2024  commencing in-memory singleton removal
Sun Nov 10 19:16:11 2024  begin with 29806831 relations and 32210030 unique ideals
Sun Nov 10 19:16:22 2024  reduce to 29308810 relations and 27672940 ideals in 12 passes
Sun Nov 10 19:16:22 2024  max relations containing the same ideal: 83
Sun Nov 10 19:16:30 2024  removing 3237812 relations and 2837812 ideals in 400000 cliques
Sun Nov 10 19:16:31 2024  commencing in-memory singleton removal
Sun Nov 10 19:16:32 2024  begin with 26070998 relations and 27672940 unique ideals
Sun Nov 10 19:16:42 2024  reduce to 25754277 relations and 24513688 ideals in 12 passes
Sun Nov 10 19:16:42 2024  max relations containing the same ideal: 75
Sun Nov 10 19:16:49 2024  removing 2636948 relations and 2277116 ideals in 359832 cliques
Sun Nov 10 19:16:50 2024  commencing in-memory singleton removal
Sun Nov 10 19:16:50 2024  begin with 23117329 relations and 24513688 unique ideals
Sun Nov 10 19:16:58 2024  reduce to 22876494 relations and 21992445 ideals in 10 passes
Sun Nov 10 19:16:58 2024  max relations containing the same ideal: 70
Sun Nov 10 19:17:05 2024  relations with 0 large ideals: 6086
Sun Nov 10 19:17:05 2024  relations with 1 large ideals: 76331
Sun Nov 10 19:17:05 2024  relations with 2 large ideals: 540264
Sun Nov 10 19:17:05 2024  relations with 3 large ideals: 2118944
Sun Nov 10 19:17:05 2024  relations with 4 large ideals: 4865388
Sun Nov 10 19:17:05 2024  relations with 5 large ideals: 6625377
Sun Nov 10 19:17:05 2024  relations with 6 large ideals: 5341950
Sun Nov 10 19:17:05 2024  relations with 7+ large ideals: 3302154
Sun Nov 10 19:17:05 2024  commencing 2-way merge
Sun Nov 10 19:17:15 2024  reduce to 12451638 relation sets and 11567596 unique ideals
Sun Nov 10 19:17:15 2024  ignored 7 oversize relation sets
Sun Nov 10 19:17:15 2024  commencing full merge
Sun Nov 10 19:20:24 2024  memory use: 576.7 MB
Sun Nov 10 19:20:24 2024  found 702604 cycles, need 2921473
Sun Nov 10 19:20:24 2024  too few cycles, matrix probably cannot build
Sun Nov 10 19:20:24 2024  filtering wants 1000000 more relations
Sun Nov 10 19:20:24 2024  elapsed time 00:17:24
Sun Nov 10 19:20:44 2024  
Sun Nov 10 19:20:44 2024  
Sun Nov 10 19:20:44 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sun Nov 10 19:20:44 2024  random seeds: a1dd50a2 b736ef84
Sun Nov 10 19:20:44 2024  factoring 122164496992886471042803280630079170382961348893892083944394722804337283278795075944023717842399993877339760583754860194203061764185486403293475291877889847 (156 digits)
Sun Nov 10 19:20:44 2024  searching for 15-digit factors
Sun Nov 10 19:20:45 2024  commencing number field sieve (156-digit input)
Sun Nov 10 19:20:45 2024  R0: 834493263501820877174304566855
Sun Nov 10 19:20:45 2024  R1: 256859466152075646831059
Sun Nov 10 19:20:45 2024  A0: 1608056142029363208152686895325285048
Sun Nov 10 19:20:45 2024  A1: 5593762550568904299584280917761
Sun Nov 10 19:20:45 2024  A2: -2607145683431198697962353
Sun Nov 10 19:20:45 2024  A3: -2697442973348495381
Sun Nov 10 19:20:45 2024  A4: 914585548970
Sun Nov 10 19:20:45 2024  A5: 113400
Sun Nov 10 19:20:45 2024  skew 1785111.43, size 5.003e-15, alpha -6.100, combined = 2.965e-12 rroots = 5
Sun Nov 10 19:20:45 2024  
Sun Nov 10 19:20:45 2024  commencing relation filtering
Sun Nov 10 19:20:45 2024  setting target matrix density to 110.0
Sun Nov 10 19:20:45 2024  estimated available RAM is 64046.8 MB
Sun Nov 10 19:20:45 2024  commencing duplicate removal, pass 1
Sun Nov 10 19:26:37 2024  found 5643006 hash collisions in 113968580 relations
Sun Nov 10 19:26:53 2024  commencing duplicate removal, pass 2
Sun Nov 10 19:27:14 2024  found 0 duplicates and 113968580 unique relations
Sun Nov 10 19:27:14 2024  memory use: 378.4 MB
Sun Nov 10 19:27:14 2024  reading ideals above 720000
Sun Nov 10 19:27:14 2024  commencing singleton removal, initial pass
Sun Nov 10 19:32:46 2024  memory use: 3012.0 MB
Sun Nov 10 19:32:48 2024  reading all ideals from disk
Sun Nov 10 19:32:49 2024  memory use: 4095.4 MB
Sun Nov 10 19:32:54 2024  keeping 127046748 ideals with weight <= 200, target excess is 759273
Sun Nov 10 19:33:02 2024  commencing in-memory singleton removal
Sun Nov 10 19:33:05 2024  begin with 113968580 relations and 127046748 unique ideals
Sun Nov 10 19:33:38 2024  reduce to 34237448 relations and 32210030 ideals in 23 passes
Sun Nov 10 19:33:38 2024  max relations containing the same ideal: 91
Sun Nov 10 19:33:48 2024  removing 4430617 relations and 4030617 ideals in 400000 cliques
Sun Nov 10 19:33:49 2024  commencing in-memory singleton removal
Sun Nov 10 19:33:50 2024  begin with 29806831 relations and 32210030 unique ideals
Sun Nov 10 19:34:01 2024  reduce to 29308810 relations and 27672940 ideals in 12 passes
Sun Nov 10 19:34:01 2024  max relations containing the same ideal: 83
Sun Nov 10 19:34:09 2024  removing 3237812 relations and 2837812 ideals in 400000 cliques
Sun Nov 10 19:34:10 2024  commencing in-memory singleton removal
Sun Nov 10 19:34:10 2024  begin with 26070998 relations and 27672940 unique ideals
Sun Nov 10 19:34:20 2024  reduce to 25754277 relations and 24513688 ideals in 12 passes
Sun Nov 10 19:34:20 2024  max relations containing the same ideal: 75
Sun Nov 10 19:34:27 2024  removing 2636948 relations and 2277116 ideals in 359832 cliques
Sun Nov 10 19:34:28 2024  commencing in-memory singleton removal
Sun Nov 10 19:34:29 2024  begin with 23117329 relations and 24513688 unique ideals
Sun Nov 10 19:34:36 2024  reduce to 22876494 relations and 21992445 ideals in 10 passes
Sun Nov 10 19:34:36 2024  max relations containing the same ideal: 70
Sun Nov 10 19:34:43 2024  relations with 0 large ideals: 6086
Sun Nov 10 19:34:43 2024  relations with 1 large ideals: 76331
Sun Nov 10 19:34:43 2024  relations with 2 large ideals: 540264
Sun Nov 10 19:34:43 2024  relations with 3 large ideals: 2118944
Sun Nov 10 19:34:43 2024  relations with 4 large ideals: 4865388
Sun Nov 10 19:34:43 2024  relations with 5 large ideals: 6625377
Sun Nov 10 19:34:43 2024  relations with 6 large ideals: 5341950
Sun Nov 10 19:34:43 2024  relations with 7+ large ideals: 3302154
Sun Nov 10 19:34:43 2024  commencing 2-way merge
Sun Nov 10 19:34:53 2024  reduce to 12451638 relation sets and 11567596 unique ideals
Sun Nov 10 19:34:53 2024  ignored 7 oversize relation sets
Sun Nov 10 19:34:53 2024  commencing full merge
Sun Nov 10 19:36:49 2024  memory use: 1184.1 MB
Sun Nov 10 19:36:50 2024  found 5331866 cycles, need 5301795
Sun Nov 10 19:36:51 2024  weight of 5301795 cycles is about 583594838 (110.07/cycle)
Sun Nov 10 19:36:51 2024  distribution of cycle lengths:
Sun Nov 10 19:36:51 2024  1 relations: 455709
Sun Nov 10 19:36:51 2024  2 relations: 422375
Sun Nov 10 19:36:51 2024  3 relations: 434233
Sun Nov 10 19:36:51 2024  4 relations: 416344
Sun Nov 10 19:36:51 2024  5 relations: 396725
Sun Nov 10 19:36:51 2024  6 relations: 358725
Sun Nov 10 19:36:51 2024  7 relations: 336580
Sun Nov 10 19:36:51 2024  8 relations: 301114
Sun Nov 10 19:36:51 2024  9 relations: 269996
Sun Nov 10 19:36:51 2024  10+ relations: 1909994
Sun Nov 10 19:36:51 2024  heaviest cycle: 28 relations
Sun Nov 10 19:36:52 2024  commencing cycle optimization
Sun Nov 10 19:36:58 2024  start with 44528092 relations
Sun Nov 10 19:37:43 2024  pruned 1233288 relations
Sun Nov 10 19:37:43 2024  memory use: 1354.9 MB
Sun Nov 10 19:37:43 2024  distribution of cycle lengths:
Sun Nov 10 19:37:43 2024  1 relations: 455709
Sun Nov 10 19:37:43 2024  2 relations: 432604
Sun Nov 10 19:37:43 2024  3 relations: 449683
Sun Nov 10 19:37:43 2024  4 relations: 427797
Sun Nov 10 19:37:43 2024  5 relations: 407885
Sun Nov 10 19:37:43 2024  6 relations: 367045
Sun Nov 10 19:37:43 2024  7 relations: 343302
Sun Nov 10 19:37:43 2024  8 relations: 305719
Sun Nov 10 19:37:43 2024  9 relations: 273422
Sun Nov 10 19:37:43 2024  10+ relations: 1838629
Sun Nov 10 19:37:43 2024  heaviest cycle: 28 relations
Sun Nov 10 19:37:48 2024  RelProcTime: 1023
Sun Nov 10 19:37:48 2024  elapsed time 00:17:04
Sun Nov 10 19:37:59 2024  
Sun Nov 10 19:37:59 2024  
Sun Nov 10 19:37:59 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sun Nov 10 19:37:59 2024  random seeds: 502b2977 8fdca85f
Sun Nov 10 19:37:59 2024  factoring 122164496992886471042803280630079170382961348893892083944394722804337283278795075944023717842399993877339760583754860194203061764185486403293475291877889847 (156 digits)
Sun Nov 10 19:37:59 2024  searching for 15-digit factors
Sun Nov 10 19:37:59 2024  commencing number field sieve (156-digit input)
Sun Nov 10 19:37:59 2024  R0: 834493263501820877174304566855
Sun Nov 10 19:37:59 2024  R1: 256859466152075646831059
Sun Nov 10 19:37:59 2024  A0: 1608056142029363208152686895325285048
Sun Nov 10 19:37:59 2024  A1: 5593762550568904299584280917761
Sun Nov 10 19:37:59 2024  A2: -2607145683431198697962353
Sun Nov 10 19:37:59 2024  A3: -2697442973348495381
Sun Nov 10 19:37:59 2024  A4: 914585548970
Sun Nov 10 19:37:59 2024  A5: 113400
Sun Nov 10 19:37:59 2024  skew 1785111.43, size 5.003e-15, alpha -6.100, combined = 2.965e-12 rroots = 5
Sun Nov 10 19:37:59 2024  
Sun Nov 10 19:37:59 2024  commencing linear algebra
Sun Nov 10 19:38:00 2024  read 5301795 cycles
Sun Nov 10 19:38:06 2024  cycles contain 21854252 unique relations
Sun Nov 10 19:38:44 2024  read 21854252 relations
Sun Nov 10 19:39:12 2024  using 20 quadratic characters above 4294917295
Sun Nov 10 19:40:19 2024  building initial matrix
Sun Nov 10 19:42:29 2024  memory use: 2823.7 MB
Sun Nov 10 19:42:31 2024  read 5301795 cycles
Sun Nov 10 19:42:31 2024  matrix is 5301614 x 5301795 (2331.0 MB) with weight 713345654 (134.55/col)
Sun Nov 10 19:42:31 2024  sparse part has weight 552735813 (104.25/col)
Sun Nov 10 19:43:11 2024  filtering completed in 2 passes
Sun Nov 10 19:43:12 2024  matrix is 5298276 x 5298456 (2330.6 MB) with weight 713166816 (134.60/col)
Sun Nov 10 19:43:12 2024  sparse part has weight 552670799 (104.31/col)
Sun Nov 10 19:43:34 2024  matrix starts at (0, 0)
Sun Nov 10 19:43:35 2024  matrix is 5298276 x 5298456 (2330.6 MB) with weight 713166816 (134.60/col)
Sun Nov 10 19:43:35 2024  sparse part has weight 552670799 (104.31/col)
Sun Nov 10 19:43:35 2024  saving the first 48 matrix rows for later
Sun Nov 10 19:43:35 2024  matrix includes 64 packed rows
Sun Nov 10 19:43:35 2024  matrix is 5298228 x 5298456 (2270.7 MB) with weight 604686191 (114.12/col)
Sun Nov 10 19:43:35 2024  sparse part has weight 542265778 (102.34/col)
Sun Nov 10 19:43:35 2024  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun Nov 10 19:43:46 2024  commencing Lanczos iteration (8 threads)
Sun Nov 10 19:43:46 2024  memory use: 2123.9 MB
Sun Nov 10 19:43:46 2024  VBITS = 64
Sun Nov 10 19:43:56 2024  linear algebra at 0.0%, ETA 8h46m
Sun Nov 10 19:43:59 2024  checkpointing every 610000 dimensions
Mon Nov 11 04:29:43 2024  lanczos halted after 83790 iterations (dim = 5298225)
Mon Nov 11 04:29:47 2024  recovered 28 nontrivial dependencies
Mon Nov 11 04:29:47 2024  BLanczosTime: 31908
Mon Nov 11 04:29:47 2024  elapsed time 08:51:48
Mon Nov 11 06:39:50 2024  
Mon Nov 11 06:39:50 2024  
Mon Nov 11 06:39:50 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Nov 11 06:39:50 2024  random seeds: c4a024a2 a5b1fb26
Mon Nov 11 06:39:50 2024  factoring 122164496992886471042803280630079170382961348893892083944394722804337283278795075944023717842399993877339760583754860194203061764185486403293475291877889847 (156 digits)
Mon Nov 11 06:39:50 2024  searching for 15-digit factors
Mon Nov 11 06:39:50 2024  commencing number field sieve (156-digit input)
Mon Nov 11 06:39:50 2024  R0: 834493263501820877174304566855
Mon Nov 11 06:39:50 2024  R1: 256859466152075646831059
Mon Nov 11 06:39:50 2024  A0: 1608056142029363208152686895325285048
Mon Nov 11 06:39:50 2024  A1: 5593762550568904299584280917761
Mon Nov 11 06:39:50 2024  A2: -2607145683431198697962353
Mon Nov 11 06:39:50 2024  A3: -2697442973348495381
Mon Nov 11 06:39:50 2024  A4: 914585548970
Mon Nov 11 06:39:50 2024  A5: 113400
Mon Nov 11 06:39:50 2024  skew 1785111.43, size 5.003e-15, alpha -6.100, combined = 2.965e-12 rroots = 5
Mon Nov 11 06:39:50 2024  
Mon Nov 11 06:39:50 2024  commencing square root phase
Mon Nov 11 06:39:50 2024  handling dependencies 1 to 64
Mon Nov 11 06:39:50 2024  reading relations for dependency 1
Mon Nov 11 06:39:50 2024  read 2647588 cycles
Mon Nov 11 06:39:54 2024  cycles contain 10927294 unique relations
Mon Nov 11 06:40:16 2024  read 10927294 relations
Mon Nov 11 06:40:41 2024  multiplying 10927294 relations
Mon Nov 11 06:45:47 2024  multiply complete, coefficients have about 573.17 million bits
Mon Nov 11 06:45:49 2024  initial square root is modulo 138841
Mon Nov 11 06:51:59 2024  GCD is 1, no factor found
Mon Nov 11 06:51:59 2024  reading relations for dependency 2
Mon Nov 11 06:52:00 2024  read 2648607 cycles
Mon Nov 11 06:52:03 2024  cycles contain 10920764 unique relations
Mon Nov 11 06:52:26 2024  read 10920764 relations
Mon Nov 11 06:52:53 2024  multiplying 10920764 relations
Mon Nov 11 06:58:11 2024  multiply complete, coefficients have about 572.83 million bits
Mon Nov 11 06:58:12 2024  initial square root is modulo 137831
Mon Nov 11 07:04:23 2024  sqrtTime: 1473
Mon Nov 11 07:04:23 2024  p66 factor: 222483558868780868358683068660709575744005957331718964114512482303
Mon Nov 11 07:04:23 2024  p90 factor: 549094493157304147691802127993819090306399134674543662385167757989371027698993991117519049
Mon Nov 11 07:04:23 2024  elapsed time 00:24:33

cado-nfs, msieve 1.54 sourceforge

ubuntu, i3-12100, 64GB DDR4

4893879161518360559673970511750205156022696474590023641133834956980025732199217776152844254546156672115285289755779980160965729356927576880227994339241932089652107339159370950977093570715582689912218995253989205752754241123<223>

113536318831997255389939999317559681567421<42>

43104085211358359954298617034337128054154274391696918987914280057593154573676422325266985365527052403385840657153097515098322269013054706315978491216394150576431930209871382975221663<182>

Resuming ECM residue saved by @1db3f243ee67 with GMP-ECM 7.0.5-dev on Thu Feb 16 03:12:58 2023 
Input number is 4893879161518360559673970511750205156022696474590023641133834956980025732199217776152844254546156672115285289755779980160965729356927576880227994339241932089652107339159370950977093570715582689912218995253989205752754241123 (223 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1385274271
Step 1 took 0ms
Step 2 took 18617ms
********** Factor found in step 2: 113536318831997255389939999317559681567421
Found prime factor of 42 digits: 113536318831997255389939999317559681567421
Composite cofactor 43104085211358359954298617034337128054154274391696918987914280057593154573676422325266985365527052403385840657153097515098322269013054706315978491216394150576431930209871382975221663 has 182 digits

7251648892407616835991213480454411431466035022094599737078135563215492941217994030300831582503825642231781706016384342813755280536229069412378925677610403101606984551352684614480487082264438547392571073907<205>

101171675183954099377977034222485301<36>

71676671155463219791276089575752342182901815217023900544845963023327201733259024582946983700647782357109235489535059037612218729348198098366518590355241507113232174636807<170>

Resuming ECM residue saved by @5682a1ae3acd with GMP-ECM 7.0.5-dev on Fri Jan  6 20:05:00 2023 
Input number is 7251648892407616835991213480454411431466035022094599737078135563215492941217994030300831582503825642231781706016384342813755280536229069412378925677610403101606984551352684614480487082264438547392571073907 (205 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1593167254
Step 1 took 0ms
Step 2 took 3512ms
********** Factor found in step 2: 101171675183954099377977034222485301
Found prime factor of 36 digits: 101171675183954099377977034222485301
Composite cofactor 71676671155463219791276089575752342182901815217023900544845963023327201733259024582946983700647782357109235489535059037612218729348198098366518590355241507113232174636807 has 170 digits

358847311979801995942412334232498074671723719509289458856699768856023677874530486687437517363371691781482898572052999486434387244587787047391634180512966669209210161061256668707438382965981831562450243956707282917054514162471873<228>

919680622585784822662369777696261318868475557003057265317423130687276623749934192442026344561353741252961692863025897505862938772254992332559657678847153681449028429988818749761166501333287455128467464922234603391107871618007423188287<234>

18576543466222603331560666562412060420392093717947798652398235206686099118153716747398137364495888455923475374286878901803797053965467059279894826250466289954852612485332124757262392762935091943378138874756195099<212>

337126003191101452626763338660894406947937<42>

55102671672859369234895943766766892540571612271661413429210894420560947612521485706257818172852266323841517014783889394209294719359938465882783689809172550745692766898427<170>

Resuming ECM residue saved by @15173d91d17f with GMP-ECM 7.0.5-dev on Mon Mar  4 05:26:06 2024 
Input number is 18576543466222603331560666562412060420392093717947798652398235206686099118153716747398137364495888455923475374286878901803797053965467059279894826250466289954852612485332124757262392762935091943378138874756195099 (212 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:112181095
Step 1 took 0ms
Step 2 took 9151ms
********** Factor found in step 2: 337126003191101452626763338660894406947937
Found prime factor of 42 digits: 337126003191101452626763338660894406947937
Composite cofactor 55102671672859369234895943766766892540571612271661413429210894420560947612521485706257818172852266323841517014783889394209294719359938465882783689809172550745692766898427 has 170 digits

1145495013852836895730528596824734664046485513975304461842806623493816888950479590021545241023623720416531381187555920050544978088337794892214518040580723120397890586173684567369156798904746055362918525419186061217729<217>

3383520678409800900665394833688371256574690523731921339169674755598567982809860969744836191249566631255573539199709295319246763407548310186343925143544706041577443689872983560724462761805706191750142293266886549161164969344375661640516223286409<244>

312722593208865026284981360816851607628779272133146215296153366482409583508591246002235679955798230682798986645908019509127752885689401843792654215280746538944614700927650609492287454821006381047949240579253474106624613<219>

51980258220734812325701748174764655663<38>

6016180063609623658014215266544276390083964125077913019787061101998932102500399738347518298110977693050004632247721352122705562160926701253185491367603198655989693449317000285876651<181>

Resuming ECM residue saved by @5682a1ae3acd with GMP-ECM 7.0.5-dev on Fri Jan  6 20:07:55 2023 
Input number is 312722593208865026284981360816851607628779272133146215296153366482409583508591246002235679955798230682798986645908019509127752885689401843792654215280746538944614700927650609492287454821006381047949240579253474106624613 (219 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:318902456
Step 1 took 0ms
Step 2 took 6045ms
********** Factor found in step 2: 51980258220734812325701748174764655663
Found prime factor of 38 digits: 51980258220734812325701748174764655663
Composite cofactor 6016180063609623658014215266544276390083964125077913019787061101998932102500399738347518298110977693050004632247721352122705562160926701253185491367603198655989693449317000285876651 has 181 digits

19792601731532716303041325759436705808298945721311274505816693177907725697748859973253416772435076741610675294288874594834597294302539623975271936791214731074937826828725236066089720460138405054672588613104741255384536631333890129044509711226483<245>

39906808664367017695199644592683654326461043415743510944126643233748024794104126392926300281522716816472217523005208487271633942348915129012279316659419511809454158053598675776152827463307647959999716981407354283966307540905010375039<233>

861769727479135610492549327817251553322226184001955674248398678380501886189637221388076346281458903901625845461030513211968767954027866846991391888437793754280221355352706766771727021004657286928851488554918884802919874161787279249420760887421661<246>

5281718183545624864972809091052423544691264938880547229109401756428833765076868428091117817444948773982557879135742264834955890609423322943445105803588448791992878731389927132381217902338267697013196309851259<208>

3389804024627269755415089095639300671985270941678490897675243139805046760705814255950346992050302168122889099821866091536272865710513849213340504151208288149605358531025190306094824103339197184192314566233682498738222554629121247<229>

1296822965620165682922468395634142829450260419374291745857806998101858694100740622951863273731713511814138452361740747720844126208760023982216888413651329153224124387085090056775525939629638125819681150890314456512517933426944939773596171579<241>

762177648238563857307099907086036802126835593<45>

1701470737979784288524364023585965204554900040012968159515684696522031284039790619010786481469981294028162872075219813475839419626166829580277833246885477300073232486328200513012796795989781213603<196>

Resuming ECM residue saved by @71521aa9a1ca with GMP-ECM 7.0.5-dev on Wed Feb  8 12:37:43 2023 
Input number is 1296822965620165682922468395634142829450260419374291745857806998101858694100740622951863273731713511814138452361740747720844126208760023982216888413651329153224124387085090056775525939629638125819681150890314456512517933426944939773596171579 (241 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3427621779
Step 1 took 0ms
Step 2 took 21178ms
********** Factor found in step 2: 762177648238563857307099907086036802126835593
Found prime factor of 45 digits: 762177648238563857307099907086036802126835593
Composite cofactor 1701470737979784288524364023585965204554900040012968159515684696522031284039790619010786481469981294028162872075219813475839419626166829580277833246885477300073232486328200513012796795989781213603 has 196 digits

55616652127120832745183588773748472517202965970236313447051739622170706154705428280857308755811657273697987801296897177364656826010539232020666493612725287095616130280048226896263601974249459293998285163<203>

20277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<260>

22355585457022815178280121147569166943423802319249968804514974827991396921845552568333477332371642210682120680258814971280546963809529769046725923208572129132785108030091571646868765958562594617263687318214496928995437973058057<227>

615856190285509047186447379592540554861010808951485293629671806407832651457682027779209236561715506989281734091525634047331595386691225873968606958179719309261298287412201064303739385422745152661879923184530148245199397673543045916305438153073<243>

48614025482958245799745406076361388358247557995008012008707625275746885469760780760985300621506433074525518969250361707383038750089911434908452018439496021259568645220230793426559983782883253511367727648533401463966048489226678001684532762973062881<248>

118000687822122503107223055440691690486369454388493201561506184543825999950893527709831719748489438743337331984940587313571207279863034102130257759121754379905493048693088324668753377408756997610174125197878139285679412833<222>

1586233780509246251301627349772218760957<40>
74390477161720406357805351565645171208052547333655796034617049212781558730424018571335455075011208174562458337440306269405473235592815637357588252098640852899370709274249311580732469<182>

Resuming ECM residue saved by @5682a1ae3acd with GMP-ECM 7.0.5-dev on Fri Jan  6 21:16:51 2023 
Input number is 118000687822122503107223055440691690486369454388493201561506184543825999950893527709831719748489438743337331984940587313571207279863034102130257759121754379905493048693088324668753377408756997610174125197878139285679412833 (222 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1641015632
Step 1 took 0ms
Step 2 took 3758ms
********** Factor found in step 2: 1586233780509246251301627349772218760957
Found prime factor of 40 digits: 1586233780509246251301627349772218760957
Prime cofactor 74390477161720406357805351565645171208052547333655796034617049212781558730424018571335455075011208174562458337440306269405473235592815637357588252098640852899370709274249311580732469 has 182 digits

261359340149471306579243760275400036583373077657450540616140333235422142645061651380662335101315816607093871511436715838840384091446801662186796279985621232426977728472907231038977407567526687146514948676370812471245370375224281<228>

7876915366671764050189861731072572667336590539887136793575817151389226613203192672586927596877158843779477682948169486924801998182912380788284207601836126231592305181540830341746516508944847663045624051264003615728223821577603887803967057050454157764098317<256>

2577215723714513158262548966903572609779222109999397741447945104928145099391574422633396748404877183177205328078303868876890248659667321414880352491199928262450423613841085017709821481295096699790867219497113819790361109602783167916111740617518161934487746033<259>

121627546564314813950480451449280560255699<42>
21189408127637601542942727113225599857150001192586688596414244392402108262227856088028964608518342876847221491424039539758104232370111873516969684564218500271629983349586596340776155451839669399748531202805953040445867<218>

Resuming ECM residue saved by @71521aa9a1ca with GMP-ECM 7.0.5-dev on Wed Feb  8 15:05:11 2023 
Input number is 2577215723714513158262548966903572609779222109999397741447945104928145099391574422633396748404877183177205328078303868876890248659667321414880352491199928262450423613841085017709821481295096699790867219497113819790361109602783167916111740617518161934487746033 (259 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2987652622
Step 1 took 0ms
Step 2 took 22585ms
********** Factor found in step 2: 121627546564314813950480451449280560255699
Found prime factor of 42 digits: 121627546564314813950480451449280560255699
Prime cofactor 21189408127637601542942727113225599857150001192586688596414244392402108262227856088028964608518342876847221491424039539758104232370111873516969684564218500271629983349586596340776155451839669399748531202805953040445867 has 218 digits

89682201946252885988135208722186288050457228390285381886700408444300146328745967975763055337141322394718712408980287235628436058496075507362524895753775815774040269980707810726346922621235825475295244801376369595688409444069028859410859<236>

808913463975401119176148524506746819489870684408064285735773906740898308862618572329408368641292469550045713142882146982343106920070528149431225011295208742330071029107567112985272639420370820326391600953047601588927926590976901433862617932624467533647<252>

1140470503137501026656984228118848419538730683502888056392847473974872614897633976494152150248720415239339051575425704524660384515210720113635598037131858984100996223896425972970963107572728030269343216804183899726641595800997361581384370874436253063<250>

41032502403084761173521227791635206137979<41>

27794320023040129948435374923354152637751538080626541741015508297841678082972387880878904619289097228190756315260960378663481293716441272042282315704588512530939213498622818364722893279062814323100140781872997<209>

Resuming ECM residue saved by @4dd652735339 with GMP-ECM 7.0.5-dev on Fri Mar  8 06:16:10 2024 
Input number is 1140470503137501026656984228118848419538730683502888056392847473974872614897633976494152150248720415239339051575425704524660384515210720113635598037131858984100996223896425972970963107572728030269343216804183899726641595800997361581384370874436253063 (250 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3587784225
Step 1 took 0ms
Step 2 took 11609ms
********** Factor found in step 2: 41032502403084761173521227791635206137979
Found prime factor of 41 digits: 41032502403084761173521227791635206137979
Composite cofactor 27794320023040129948435374923354152637751538080626541741015508297841678082972387880878904619289097228190756315260960378663481293716441272042282315704588512530939213498622818364722893279062814323100140781872997 has 209 digits