6988120195667365478686233403214535290006988120195667365478686236547868623340321453529000698812019566736547868623340321453529<124>

859106483768866484458154977770617725091546561968837433<54>
8134172337997911475652323835261611819979635545515878415777575148689313<70>

N=6988120195667365478686233403214535290006988120195667365478686236547868623340321453529000698812019566736547868623340321453529
  ( 124 digits)
SNFS difficulty: 127 digits.
Divisors found:
p54 factor: 859106483768866484458154977770617725091546561968837433
p70 factor: 8134172337997911475652323835261611819979635545515878415777575148689313
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.58 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 6988120195667365478686233403214535290006988120195667365478686236547868623340321453529000698812019566736547868623340321453529
m: 50000000000000000000000000000000
deg: 4
c4: 8
c2: 9
c0: -5
skew: 0.89
# Murphy_E = 2.065e-08
type: snfs
lss: 1
rlim: 940000
alim: 940000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 940000/940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [470000, 845001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 98169 x 98394
Total sieving time: 1.53 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,940000,940000,26,26,46,46,2.3,2.3,75000
total time: 1.58 hours.
 --------- CPU info (if available) ----------

4139937165177288985735364453650837390156212373748500661067044984388927223858622477607871668716545649016414200282501495297048261<127>

3071188336700992659569393809822561047317536531<46>
1347991953376693379464467287234784855719601688181445680608770427157054426741861831<82>

Thu May 19 09:08:16 2022  Msieve v. 1.53 (SVN unknown)
Thu May 19 09:08:16 2022  random seeds: 6a75c710 68fd4a94
Thu May 19 09:08:16 2022  factoring 4139937165177288985735364453650837390156212373748500661067044984388927223858622477607871668716545649016414200282501495297048261 (127 digits)
Thu May 19 09:08:16 2022  searching for 15-digit factors
Thu May 19 09:08:17 2022  commencing number field sieve (127-digit input)
Thu May 19 09:08:17 2022  R0: -100000000000000000000000000000000000
Thu May 19 09:08:17 2022  R1: 1
Thu May 19 09:08:17 2022  A0: -2
Thu May 19 09:08:17 2022  A1: 0
Thu May 19 09:08:17 2022  A2: 9
Thu May 19 09:08:17 2022  A3: 0
Thu May 19 09:08:17 2022  A4: 20
Thu May 19 09:08:17 2022  skew 0.56, size 1.394e-14, alpha 0.914, combined = 4.286e-09 rroots = 2
Thu May 19 09:08:17 2022  
Thu May 19 09:08:17 2022  commencing square root phase
Thu May 19 09:08:17 2022  reading relations for dependency 1
Thu May 19 09:08:17 2022  read 99779 cycles
Thu May 19 09:08:17 2022  cycles contain 319164 unique relations
Thu May 19 09:08:19 2022  read 319164 relations
Thu May 19 09:08:20 2022  multiplying 319164 relations
Thu May 19 09:08:23 2022  multiply complete, coefficients have about 8.04 million bits
Thu May 19 09:08:23 2022  initial square root is modulo 1752834469
Thu May 19 09:08:26 2022  GCD is N, no factor found
Thu May 19 09:08:26 2022  reading relations for dependency 2
Thu May 19 09:08:26 2022  read 99614 cycles
Thu May 19 09:08:26 2022  cycles contain 319046 unique relations
Thu May 19 09:08:30 2022  read 319046 relations
Thu May 19 09:08:30 2022  multiplying 319046 relations
Thu May 19 09:08:33 2022  multiply complete, coefficients have about 8.04 million bits
Thu May 19 09:08:33 2022  initial square root is modulo 1735258159
Thu May 19 09:08:36 2022  GCD is N, no factor found
Thu May 19 09:08:36 2022  reading relations for dependency 3
Thu May 19 09:08:36 2022  read 99842 cycles
Thu May 19 09:08:36 2022  cycles contain 319454 unique relations
Thu May 19 09:08:39 2022  read 319454 relations
Thu May 19 09:08:40 2022  multiplying 319454 relations
Thu May 19 09:08:43 2022  multiply complete, coefficients have about 8.05 million bits
Thu May 19 09:08:43 2022  initial square root is modulo 1785286901
Thu May 19 09:08:47 2022  GCD is 1, no factor found
Thu May 19 09:08:47 2022  reading relations for dependency 4
Thu May 19 09:08:47 2022  read 99981 cycles
Thu May 19 09:08:47 2022  cycles contain 319658 unique relations
Thu May 19 09:08:49 2022  read 319658 relations
Thu May 19 09:08:50 2022  multiplying 319658 relations
Thu May 19 09:08:53 2022  multiply complete, coefficients have about 8.05 million bits
Thu May 19 09:08:53 2022  initial square root is modulo 1811410501
Thu May 19 09:08:56 2022  GCD is 1, no factor found
Thu May 19 09:08:56 2022  reading relations for dependency 5
Thu May 19 09:08:56 2022  read 100165 cycles
Thu May 19 09:08:56 2022  cycles contain 319732 unique relations
Thu May 19 09:08:59 2022  read 319732 relations
Thu May 19 09:09:00 2022  multiplying 319732 relations
Thu May 19 09:09:03 2022  multiply complete, coefficients have about 8.05 million bits
Thu May 19 09:09:03 2022  initial square root is modulo 1825234363
Thu May 19 09:09:06 2022  sqrtTime: 49
Thu May 19 09:09:06 2022  p46 factor: 3071188336700992659569393809822561047317536531
Thu May 19 09:09:06 2022  p82 factor: 1347991953376693379464467287234784855719601688181445680608770427157054426741861831
Thu May 19 09:09:06 2022  elapsed time 00:00:50

31940246995837303408880028700469041025003331767108423501291081460581088469719614249253946259067713051856528371<110>

78424308280405525643427990194430622305541<41>
407274832206810036533449872295157571922695590905659707371202109652631<69>

31940246995837303408880028700469041025003331767108423501291081460581088469719614249253946259067713051856528371=78424308280405525643427990194430622305541*407274832206810036533449872295157571922695590905659707371202109652631

cado polynomial
n: 31940246995837303408880028700469041025003331767108423501291081460581088469719614249253946259067713051856528371
skew: 0.89
type: snfs
c0: -5
c2: 9
c4: 8
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^4+9*x^2-5
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1740000
tasks.lim1 = 1740000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 407274832206810036533449872295157571922695590905659707371202109652631 78424308280405525643427990194430622305541
Info:Square Root: Total cpu/real time for sqrt: 46.42/17.4597
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6046583
Info:Lattice Sieving: Average J: 1888.12 for 134267 special-q, max bucket fill -bkmult 1.0,1s:1.336090
Info:Lattice Sieving: Total time: 29309.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 44.39/16.4928
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.48/52.1951
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.05/93.9404
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 84.5s
Info:Filtering - Merging: Merged matrix has 191515 rows and total weight 32601558 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.8/44.9388
Info:Filtering - Merging: Total cpu/real time for replay: 6.24/9.4309
Info:Linear Algebra: Total cpu/real time for bwc: 1532.27/1233.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 324.42, WCT time 329.31, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6016 iterations)
Info:Linear Algebra: Lingen CPU time 1013.93, WCT time 748.42
Info:Linear Algebra: Mksol: CPU time 176.52,  WCT time 134.75, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3072 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.08/0.87996
Info:Quadratic Characters: Total cpu/real time for characters: 5.84/2.85328
Info:Square Root: Total cpu/real time for sqrt: 46.42/17.4597
Info:Filtering - Singleton removal: Total cpu/real time for purge: 41.75/93.0258
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22777.3/16479.5
Info:root: Cleaning up computation data in /tmp/cado.wdkti5k6
407274832206810036533449872295157571922695590905659707371202109652631 78424308280405525643427990194430622305541

cado-nfs-3.0.0

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

10810736325287337922705823847790319151229159126245230346620644683571330859908835864334366598353219912722366035132212863<119>

171818917815077892195231898251499662708341<42>
62919359886334044861192117088703091511433806316149301806957254635756414446243<77>

10810736325287337922705823847790319151229159126245230346620644683571330859908835864334366598353219912722366035132212863=171818917815077892195231898251499662708341*62919359886334044861192117088703091511433806316149301806957254635756414446243

cado polynomial
n: 10810736325287337922705823847790319151229159126245230346620644683571330859908835864334366598353219912722366035132212863
skew: 0.56
type: snfs
c0: -2
c2: 9
c4: 20
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 20*x^4+9*x^2-2
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1850000
tasks.lim1 = 1850000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 62919359886334044861192117088703091511433806316149301806957254635756414446243 171818917815077892195231898251499662708341
Info:Square Root: Total cpu/real time for sqrt: 36.82/20.2007
Info:Filtering - Singleton removal: Total cpu/real time for purge: 35.37/42.8127
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6057173
Info:Lattice Sieving: Average J: 1889.73 for 137002 special-q, max bucket fill -bkmult 1.0,1s:1.344190
Info:Lattice Sieving: Total time: 29942.8s
Info:Linear Algebra: Total cpu/real time for bwc: 1546.03/961.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 470.14, WCT time 310.88, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 793.4, WCT time 461.41
Info:Linear Algebra: Mksol: CPU time 259.65,  WCT time 173.15, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 44.24/44.624
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.29/30.5479
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.55/61.7199
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 52.0s
Info:Filtering - Merging: Merged matrix has 236178 rows and total weight 40259020 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 52.38/27.7009
Info:Filtering - Merging: Total cpu/real time for replay: 8.94/9.33392
Info:Generate Factor Base: Total cpu/real time for makefb: 1.16/1.74016
Info:Quadratic Characters: Total cpu/real time for characters: 7.76/4.98206
Info:Square Root: Total cpu/real time for sqrt: 36.82/20.2007
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 23148.7/16359.2
Info:root: Cleaning up computation data in /tmp/cado.riu1jt6v
62919359886334044861192117088703091511433806316149301806957254635756414446243 171818917815077892195231898251499662708341

cado-nfs-3.0.0

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

1916481536125026050557531759624727078223166792566212280467059870878990285056468668683514099341082364594688834751434388748336873<127>

106574201255757578882274264378397658869776347117107363<54>
17982602858320646302682376248096932118198780537658682289957907461525120771<74>

1916481536125026050557531759624727078223166792566212280467059870878990285056468668683514099341082364594688834751434388748336873=106574201255757578882274264378397658869776347117107363*17982602858320646302682376248096932118198780537658682289957907461525120771

cado polynomial
n: 1916481536125026050557531759624727078223166792566212280467059870878990285056468668683514099341082364594688834751434388748336873
skew: 0.89
type: snfs
c0: -5
c2: 9
c4: 8
Y0: 5000000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^4+9*x^2-5
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2000000
tasks.lim1 = 2000000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 17982602858320646302682376248096932118198780537658682289957907461525120771 106574201255757578882274264378397658869776347117107363
Info:Square Root: Total cpu/real time for sqrt: 104.08/33.0842
Info:Filtering - Singleton removal: Total cpu/real time for purge: 32.75/30.8239
Info:Generate Free Relations: Total cpu/real time for freerel: 44.39/13.2697
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6033999
Info:Lattice Sieving: Average J: 1888.12 for 166384 special-q, max bucket fill -bkmult 1.0,1s:1.322290
Info:Lattice Sieving: Total time: 14084.4s
Info:Linear Algebra: Total cpu/real time for bwc: 930.22/241.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 557.48, WCT time 142.44, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8320 iterations)
Info:Linear Algebra: Lingen CPU time 42.18, WCT time 10.72
Info:Linear Algebra: Mksol: CPU time 308.2,  WCT time 78.88, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.74/23.2513
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.2s
Info:Filtering - Merging: Merged matrix has 264782 rows and total weight 45195729 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 53.08/14.8429
Info:Filtering - Merging: Total cpu/real time for replay: 8.37/6.94569
Info:Generate Factor Base: Total cpu/real time for makefb: 1.26/0.694802
Info:Quadratic Characters: Total cpu/real time for characters: 8.49/3.35784
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.23/50.7041
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.8s
Info:Square Root: Total cpu/real time for sqrt: 104.08/33.0842
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 26897.7/7566.16
Info:root: Cleaning up computation data in /tmp/cado.jsnma731
17982602858320646302682376248096932118198780537658682289957907461525120771 106574201255757578882274264378397658869776347117107363

cado-nfs-3.0.0

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

193236602554332434808949712513194853482080770297515783663830516754364404217709826391245297045646821162968265370851<114>

5746768915133474115411687816471484004961590609733758797<55>
33625260630450168865161846175449049888444131024616378963183<59>

193236602554332434808949712513194853482080770297515783663830516754364404217709826391245297045646821162968265370851=5746768915133474115411687816471484004961590609733758797*33625260630450168865161846175449049888444131024616378963183

cado polynomial
n: 193236602554332434808949712513194853482080770297515783663830516754364404217709826391245297045646821162968265370851
skew: 23496.481
c0: 52366474397764191857432760
c1: 606432173091546501021
c2: -535207916728978192
c3: 33213493313213
c4: 575937906
c5: 3840
Y0: -9977863845803982347534
Y1: 1166627187210269
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.160e-06
# f(x) = 3840*x^5+575937906*x^4+33213493313213*x^3-535207916728978192*x^2+606432173091546501021*x+52366474397764191857432760
# g(x) = 1166627187210269*x-9977863845803982347534

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

cado log (extracts)
Info:Square Root: Factors: 5746768915133474115411687816471484004961590609733758797 33625260630450168865161846175449049888444131024616378963183
Info:Square Root: Total cpu/real time for sqrt: 128.11/38.6851
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.56/100.942
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6962415
Info:Lattice Sieving: Average J: 1896.25 for 129502 special-q, max bucket fill -bkmult 1.0,1s:1.246070
Info:Lattice Sieving: Total time: 14728.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.18/1.12087
Info:Linear Algebra: Total cpu/real time for bwc: 2478.7/640.43
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1531.16, WCT time 392.55, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13568 iterations)
Info:Linear Algebra: Lingen CPU time 67.63, WCT time 17.24
Info:Linear Algebra: Mksol: CPU time 843.42,  WCT time 215.91, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6784 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.32/16.3198
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.12/30.539
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.799999999999994s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 383.83
Info:Polynomial Selection (root optimized): Rootsieve time: 382.76
Info:Filtering - Merging: Merged matrix has 431356 rows and total weight 67206646 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.35/20.9561
Info:Filtering - Merging: Total cpu/real time for replay: 14.57/11.8723
Info:Quadratic Characters: Total cpu/real time for characters: 15.86/6.16844
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21552/32.490/40.342/45.430/1.074
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16730/31.500/35.725/40.810/0.819
Info:Polynomial Selection (size optimized): Total time: 1815.55
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 117.06/126.026
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 92.89999999999999s
Info:Square Root: Total cpu/real time for sqrt: 128.11/38.6851
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 32210.4/8845.6
Info:root: Cleaning up computation data in /tmp/cado.m10fksj9
5746768915133474115411687816471484004961590609733758797 33625260630450168865161846175449049888444131024616378963183

cado-nfs-3.0.0

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

79004840102545927799730597416614462417234226487945538036531093908921389921998806276206818157605699300074694566458921397025154913703091<134>

12159827545743934692605319764386356995708234017469<50>
6497200704972040357212332134678772542699544436901376665039295915169701438645983112239<85>

79004840102545927799730597416614462417234226487945538036531093908921389921998806276206818157605699300074694566458921397025154913703091=12159827545743934692605319764386356995708234017469*6497200704972040357212332134678772542699544436901376665039295915169701438645983112239

cado polynomial
n: 79004840102545927799730597416614462417234226487945538036531093908921389921998806276206818157605699300074694566458921397025154913703091
skew: 0.68
type: snfs
c0: -2
c3: 9
c6: 20
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 20*x^6+9*x^3-2
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5800000
tasks.lim1 = 5800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6497200704972040357212332134678772542699544436901376665039295915169701438645983112239 12159827545743934692605319764386356995708234017469
Info:Square Root: Total cpu/real time for sqrt: 153.8/90.7039
Info:Filtering - Singleton removal: Total cpu/real time for purge: 158.88/227.043
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22417230
Info:Lattice Sieving: Average J: 1893.22 for 960375 special-q, max bucket fill -bkmult 1.0,1s:1.230150
Info:Lattice Sieving: Total time: 168486s
Info:Linear Algebra: Total cpu/real time for bwc: 8305.92/6400.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4964.09, WCT time 3783.25, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (22784 iterations)
Info:Linear Algebra: Lingen CPU time 503.46, WCT time 378.08
Info:Linear Algebra: Mksol: CPU time 2725.63,  WCT time 2147.81, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (11520 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 226.05/57.9042
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.09/160.613
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 160.4s
Info:Filtering - Merging: Merged matrix has 728629 rows and total weight 124572330 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 185.9/131.103
Info:Filtering - Merging: Total cpu/real time for replay: 27.57/30.1472
Info:Generate Factor Base: Total cpu/real time for makefb: 4.7/2.45008
Info:Quadratic Characters: Total cpu/real time for characters: 23.64/12.8035
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 237.85/370.449
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 351.5s
Info:Square Root: Total cpu/real time for sqrt: 153.8/90.7039
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 257704/92092.7
Info:root: Cleaning up computation data in /tmp/cado.apsz4g1h
6497200704972040357212332134678772542699544436901376665039295915169701438645983112239 12159827545743934692605319764386356995708234017469

cado-nfs-3.0.0

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

73653072170564625673689868845868293815971135513002801213372667378117490545553174328733951633356351201183749874920641969770687671775256706492801912897<149>

6938981753067228593583260800946991652021332576803057606496538311732747827<73>
10614391965796402207384204061253717032942886711014024615070781201009294228411<77>

73653072170564625673689868845868293815971135513002801213372667378117490545553174328733951633356351201183749874920641969770687671775256706492801912897=6938981753067228593583260800946991652021332576803057606496538311732747827*10614391965796402207384204061253717032942886711014024615070781201009294228411

cado polynomial
n: 73653072170564625673689868845868293815971135513002801213372667378117490545553174328733951633356351201183749874920641969770687671775256706492801912897
skew: 0.32
type: snfs
c0: -1
c3: 45
c6: 1000
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^6+45*x^3-1
# g(x) = -x+1000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 6938981753067228593583260800946991652021332576803057606496538311732747827 10614391965796402207384204061253717032942886711014024615070781201009294228411
Info:Square Root: Total cpu/real time for sqrt: 379.76/113.654
Info:Filtering - Singleton removal: Total cpu/real time for purge: 107.09/112.896
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22409267
Info:Lattice Sieving: Average J: 1893.69 for 1642945 special-q, max bucket fill -bkmult 1.0,1s:1.222620
Info:Lattice Sieving: Total time: 251691s
Info:Linear Algebra: Total cpu/real time for bwc: 28609.9/7333.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 18212.03, WCT time 4653.05, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41728 iterations)
Info:Linear Algebra: Lingen CPU time 258.93, WCT time 65.76
Info:Linear Algebra: Mksol: CPU time 9910.65,  WCT time 2530.25, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20992 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 238.21/61.1633
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 92.85/106.39
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.3s
Info:Filtering - Merging: Merged matrix has 1334827 rows and total weight 227815925 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 328/91.3048
Info:Filtering - Merging: Total cpu/real time for replay: 48.79/43.8711
Info:Generate Factor Base: Total cpu/real time for makefb: 6.85/2.93419
Info:Quadratic Characters: Total cpu/real time for characters: 45.28/18.7888
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 233.19/194.4
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 180.3s
Info:Square Root: Total cpu/real time for sqrt: 379.76/113.654
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 495203/134353
Info:root: Cleaning up computation data in /tmp/cado.8ky1mx11
6938981753067228593583260800946991652021332576803057606496538311732747827 10614391965796402207384204061253717032942886711014024615070781201009294228411

cado-nfs-3.0.0

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

9921673850429800663715657815758917759356704626079690404809283774560370109006353514219746006934349682119855497284268730728761909941028746227311754263024621<154>

224321408492362872834137092425656045347693<42>
44229723400509000842138914459655160426187584548096384657037281232110951782407465823531358635715617034311162208897<113>

Number: n
N=9921673850429800663715657815758917759356704626079690404809283774560370109006353514219746006934349682119855497284268730728761909941028746227311754263024621  ( 154 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon May 30 03:12:23 2022  p42 factor: 224321408492362872834137092425656045347693
Mon May 30 03:12:23 2022  p113 factor: 44229723400509000842138914459655160426187584548096384657037281232110951782407465823531358635715617034311162208897
Mon May 30 03:12:23 2022  elapsed time 00:28:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 2x10^187+9x10^93-2 = 2(93)32(93)
#
n: 9921673850429800663715657815758917759356704626079690404809283774560370109006353514219746006934349682119855497284268730728761909941028746227311754263024621
m: 10000000000000000000000000000000
deg: 6
c6: 20
c3: 9
c0: -2
skew: 0.68
# Murphy_E = 3.688e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3458687 hash collisions in 29024607 relations (26907281 unique)
Msieve: matrix is 1092851 x 1093076 (380.1 MB)

Sieving start time : 2022/05/29 22:56:36
Sieving end time  : 2022/05/30 02:43:36

Total sieving time: 3hrs 47min 0secs.

Total relation processing time: 0hrs 19min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,187,6,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

774766640821479640178014637673334929476704883615910649526791767604255573817631305860847299253039039681442764988031138982338675413049476740755557000413465891385279461149<168>

25452871206205394006693026911614690338163573265308557017239<59>
30439263002776363397950695733476719949399535338411906764727412353784000289297774018607249260429529661876291691<110>

Number: n
N=774766640821479640178014637673334929476704883615910649526791767604255573817631305860847299253039039681442764988031138982338675413049476740755557000413465891385279461149  ( 168 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed Jun 29 23:37:46 2022  p59 factor: 25452871206205394006693026911614690338163573265308557017239
Wed Jun 29 23:37:46 2022  p110 factor: 30439263002776363397950695733476719949399535338411906764727412353784000289297774018607249260429529661876291691
Wed Jun 29 23:37:46 2022  elapsed time 00:39:41 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 2x10^191+9x10^95-2 = 2(95)32(95)
#
n: 774766640821479640178014637673334929476704883615910649526791767604255573817631305860847299253039039681442764988031138982338675413049476740755557000413465891385279461149
m: 100000000000000000000000000000000
deg: 6
c6: 2
c3: 9
c0: -20
skew: 1.47
# Murphy_E = 2.545e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3438663 hash collisions in 31414279 relations (28862714 unique)
Msieve: matrix is 1307787 x 1308012 (457.3 MB)

Sieving start time : 2022/06/29 17:10:11
Sieving end time  : 2022/06/29 22:57:32

Total sieving time: 5hrs 47min 21secs.

Total relation processing time: 0hrs 30min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 34sec.

Prototype def-par.txt line would be:
snfs,192,6,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

58448769653398795955345139984803319890116313051610263603951136828569758606581331462972704424571865392483488222572914840142614997954293062131042141562920100531883803845929043193640773861710211<191>

1105128658814923718037681780124980572990020334943825399528853531033<67>
52888656164320168803278640855369319625204337102076987977499364944237968670891314270916291148572271765303823950880453656307067<125>

Number: n
N=58448769653398795955345139984803319890116313051610263603951136828569758606581331462972704424571865392483488222572914840142614997954293062131042141562920100531883803845929043193640773861710211  ( 191 digits)
SNFS difficulty: 195 digits.
Divisors found:

Mon Jul 18 07:10:44 2022  p67 factor: 1105128658814923718037681780124980572990020334943825399528853531033
Mon Jul 18 07:10:44 2022  p125 factor: 52888656164320168803278640855369319625204337102076987977499364944237968670891314270916291148572271765303823950880453656307067
Mon Jul 18 07:10:44 2022  elapsed time 01:11:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 2x10^195+9x10^97-2 = 2(97)32(97)
#
n: 58448769653398795955345139984803319890116313051610263603951136828569758606581331462972704424571865392483488222572914840142614997954293062131042141562920100531883803845929043193640773861710211
m: 100000000000000000000000000000000
deg: 6
c6: 1000
c3: 45
c0: -1
skew: 0.32
# Murphy_E = 1.642e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3713317 hash collisions in 27831176 relations (26062723 unique)
Msieve: matrix is 1690797 x 1691022 (590.7 MB)

Sieving start time : 2022/07/17 22:24:33
Sieving end time  : 2022/07/18 05:58:58

Total sieving time: 7hrs 34min 25secs.

Total relation processing time: 0hrs 57min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 6sec.

Prototype def-par.txt line would be:
snfs,195,6,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

2412735111459631427241911356494320913721478438686841242938113782316668787520122577300357872845457594335925166184570519822447392139655287177307509756813662758495574019953670602930769<181>

9781999263506002301245898607474683<34>

246650510439199743922143939791583516894168994726521280174738834270045937707491665415357608295791519930504639006769759363235039504691463543950231843<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1778997238
Step 1 took 11700ms
Step 2 took 4364ms
********** Factor found in step 2: 9781999263506002301245898607474683
Found probable prime factor of 34 digits: 9781999263506002301245898607474683
Composite cofactor 246650510439199743922143939791583516894168994726521280174738834270045937707491665415357608295791519930504639006769759363235039504691463543950231843 has 147 digits

246650510439199743922143939791583516894168994726521280174738834270045937707491665415357608295791519930504639006769759363235039504691463543950231843<147>

1700264722671089443825927533804235829263103656421002576002689698087<67>
145065945996759626296061257312606571339026924677634050428186583947317963438548389<81>

246650510439199743922143939791583516894168994726521280174738834270045937707491665415357608295791519930504639006769759363235039504691463543950231843=1700264722671089443825927533804235829263103656421002576002689698087*145065945996759626296061257312606571339026924677634050428186583947317963438548389

cado polynomial
n: 246650510439199743922143939791583516894168994726521280174738834270045937707491665415357608295791519930504639006769759363235039504691463543950231843
skew: 1.47
type: snfs
c0: -20
c3: 9
c6: 2
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 2*x^6+9*x^3-20
# g(x) = -x+1000000000000000000000000000000000

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 = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 145065945996759626296061257312606571339026924677634050428186583947317963438548389 1700264722671089443825927533804235829263103656421002576002689698087
Info:Square Root: Total cpu/real time for sqrt: 654.22/208.23
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 556.9/595.808
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 497.19999999999993s
Info:Square Root: Total cpu/real time for sqrt: 654.22/208.23
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 123.3/123.996
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 123.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 429.04/418.815
Info:Filtering - Merging: Merged matrix has 2473519 rows and total weight 421323504 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 692.9/190.206
Info:Filtering - Merging: Total cpu/real time for replay: 94.7/85.1442
Info:Generate Factor Base: Total cpu/real time for makefb: 11.28/3.95273
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28251464
Info:Lattice Sieving: Average J: 1892.92 for 3125846 special-q, max bucket fill -bkmult 1.0,1s:1.171760
Info:Lattice Sieving: Total time: 677692s
Info:Linear Algebra: Total cpu/real time for bwc: 106621/27320.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 68254.25, WCT time 17417.54, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (77312 iterations)
Info:Linear Algebra: Lingen CPU time 525.51, WCT time 133.13
Info:Linear Algebra: Mksol: CPU time 36961.98,  WCT time 9475.03, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 85.12/37.2897
Info:Generate Free Relations: Total cpu/real time for freerel: 222.75/56.6949
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.38662e+06/367972
Info:root: Cleaning up computation data in /tmp/cado.b8kn2a29
145065945996759626296061257312606571339026924677634050428186583947317963438548389 1700264722671089443825927533804235829263103656421002576002689698087

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)

24520475548690786577258255754461339089030827207241781705648245927782002114956890916705333868535303802334834196510037041355857698019097290047614563672302838586423<161>

3927989695393150681421590108500443364737512904512838431579279253<64>
6242499968227779034683860041272000657270008596749144086730336413558356606489440397528177307924891<97>

Number: n
N=24520475548690786577258255754461339089030827207241781705648245927782002114956890916705333868535303802334834196510037041355857698019097290047614563672302838586423  ( 161 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue Nov 28 22:04:40 2023  prp64 factor: 3927989695393150681421590108500443364737512904512838431579279253
Tue Nov 28 22:04:40 2023  prp97 factor: 6242499968227779034683860041272000657270008596749144086730336413558356606489440397528177307924891
Tue Nov 28 22:04:40 2023  elapsed time 02:32:19 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 2x10^203+9x10^101-2 = 2(101)32(101)
#
n: 24520475548690786577258255754461339089030827207241781705648245927782002114956890916705333868535303802334834196510037041355857698019097290047614563672302838586423
m: 10000000000000000000000000000000000
deg: 6
c6: 2
c3: 9
c0: -20
skew: 1.47
# Murphy_E = 1.031e-11
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3489950 hash collisions in 20363583 relations (17175515 unique)
Msieve: matrix is 2131240 x 2131465 (603.3 MB)

Sieving start time: 2023/11/28 01:33:37
Sieving end time  : 2023/11/28 19:31:55

Total sieving time: 17hrs 58min 18secs.

Total relation processing time: 2hrs 15min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 40sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,17800000,17800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

13573856567974423883245803200633995642201685445593236715013722720089014013155361900445543145425104382141809013905197433989319952921404162053263826530329432975306434070362239053468985461<185>

111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111116111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<213>

34783033789971695007893502980401859462369980931<47>

3194405404141187442145203368226977237422770996280409994893816471525834707797913171778625183835679979042704869716054470501114373104158541918427689354452732307623884781<166>

Resuming ECM residue saved by @89c709aa5b22 with GMP-ECM 7.0.5-dev on Fri Nov 11 05:49:31 2022 
Input number is 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111116111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (213 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:136080975
Step 1 took 0ms
Step 2 took 43045ms
********** Factor found in step 2: 34783033789971695007893502980401859462369980931
Found prime factor of 47 digits: 34783033789971695007893502980401859462369980931
Composite cofactor 3194405404141187442145203368226977237422770996280409994893816471525834707797913171778625183835679979042704869716054470501114373104158541918427689354452732307623884781 has 166 digits

2053817848947132395509252707504499630039732905640910604036842970611857836242385535447261958038179851424356481043735834874711590967606721163039733612351045294196850877<166>

15861353925837286335646776834967797478261391886498409963507418211685861069991740659922384082422015674719718740666931516382249512506442029416901591955399179736109039816555320834481754837641174753857918651598133<209>

23725612801801201188544056025587513289248887218042141913879489392961290469591157853578995143035552183865922134233594076840816961015087738075420814928086239997605374624968931987084956747243804425670515932529<206>

11448136261002324149465884725791292098666874217984320471458713014695575915835157641053988063357560023958678220811384115071852073288153118222467518299660971171940127723308917363865777<182>

4241773091082643978230114178253037923207849469231947<52>
2698903504543750246302647443586706517513708670436488487247647383621955764287223018319160629808976445316715570454080840489727883891<130>

Number: 22322_110
N = 11448136261002324149465884725791292098666874217984320471458713014695575915835157641053988063357560023958678220811384115071852073288153118222467518299660971171940127723308917363865777 (182 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=4241773091082643978230114178253037923207849469231947 (pp52)
r2=2698903504543750246302647443586706517513708670436488487247647383621955764287223018319160629808976445316715570454080840489727883891 (pp130)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 24.77 hours.
Factorization parameters were as follows:
n: 11448136261002324149465884725791292098666874217984320471458713014695575915835157641053988063357560023958678220811384115071852073288153118222467518299660971171940127723308917363865777
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 20
c2: 9
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31910142
Relations: 7344634 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 8.94 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6403097 x 6403323
Matrix solve time: 15.45 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 24.77 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

6258426528027463461219558175841649978102019347064367209580868708689059292138576720265757629452438951397944368727368500777440180280853112071989546663919725498555342951854903838975386027204430871<193>

16921635314386035983731734837106578251<38>
369847618847264856723706046232518444461602472781653818387105150635599559948910278837435913664573610052596204901118504679711015493347518338025565143086587621<156>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2623584409
Step 1 took 14652ms
Step 2 took 4984ms
********** Factor found in step 2: 16921635314386035983731734837106578251
Found probable prime factor of 38 digits: 16921635314386035983731734837106578251
Probable prime cofactor 369847618847264856723706046232518444461602472781653818387105150635599559948910278837435913664573610052596204901118504679711015493347518338025565143086587621 has 156 digits

6281012499214873437598140820300232397462470950317191131210351108598706111425161736071854782991018152126122730984262923183217134602097858174737767728157779033980277620752465297405941837824257270271967841216004019847999497519<223>

90166733389075172250958470020240830643477848097421501896231699272209470303610056606559168679349089918080866387961284058908433782655715906624284143155214421620610250963192976553760472993970435112831914315559<206>

195223873521395647553818510440520348154889720242752952436879578982946696606629738964392797817699412350081582478731621461733972044302679750686836124975149800771148631809798253<174>

12317076904146403231177901203040353<35>
15849854234138601565740608006615948151883321497355003893426888478664584969289680699926725736221797157480771757357272980400297688433185084301<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3149109542
Step 1 took 10672ms
Step 2 took 4004ms
********** Factor found in step 2: 12317076904146403231177901203040353
Found probable prime factor of 35 digits: 12317076904146403231177901203040353
Probable prime cofactor 15849854234138601565740608006615948151883321497355003893426888478664584969289680699926725736221797157480771757357272980400297688433185084301 has 140 digits

22043372590812237870069038733056839655270016700947990002379300369645303936621389950953034986564968993577732626042165301207252551480834294758757974337017140256938147668672967316744357063085141<191>

144067036624258543961098387748209394958858697571381542108917937553638327391209064758233115002917632576619746612886146262957096255885702943385519940817126919790594547521270917631908639540501<189>

8251026952868919741576076717199082040148373197768643658261991812720316348406474968945219996463723712172330589852927268904300406212471433823580880578790193735755632828551734126829116708840639917996224711428832943927725242940475569<229>

370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370537037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<240>

45429341368746103610127021900105468321245170004480096063287<59>
8152668720510507639940474166406553140140886889094774068288276569769773422567128972283125436343407595673273105712067613959543868961270886153570527364380914128437062232196849060896251<181>

Fri Feb  3 12:43:19 2023  
Fri Feb  3 12:43:19 2023  
Fri Feb  3 12:43:19 2023  Msieve v. 1.54 (SVN unknown)
Fri Feb  3 12:43:19 2023  random seeds: 7cd75dea 64d07721
Fri Feb  3 12:43:19 2023  factoring 370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370537037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037 (240 digits)
Fri Feb  3 12:43:20 2023  searching for 15-digit factors
Fri Feb  3 12:43:21 2023  commencing number field sieve (240-digit input)
Fri Feb  3 12:43:21 2023  R0: -10000000000000000000000000000000000000000
Fri Feb  3 12:43:21 2023  R1: 1
Fri Feb  3 12:43:21 2023  A0: -2
Fri Feb  3 12:43:21 2023  A1: 0
Fri Feb  3 12:43:21 2023  A2: 0
Fri Feb  3 12:43:21 2023  A3: 9
Fri Feb  3 12:43:21 2023  A4: 0
Fri Feb  3 12:43:21 2023  A5: 0
Fri Feb  3 12:43:21 2023  A6: 20
Fri Feb  3 12:43:21 2023  skew 1.00, size 8.649e-12, alpha 0.140, combined = 5.680e-13 rroots = 2
Fri Feb  3 12:43:21 2023  
Fri Feb  3 12:43:21 2023  commencing relation filtering
Fri Feb  3 12:43:21 2023  setting target matrix density to 130.0
Fri Feb  3 12:43:21 2023  estimated available RAM is 15536.6 MB
Fri Feb  3 12:43:21 2023  commencing duplicate removal, pass 1
Fri Feb  3 12:48:14 2023  error -9 reading relation 75406851
Fri Feb  3 12:48:14 2023  error -1 reading relation 75545405
Fri Feb  3 12:49:46 2023  error -9 reading relation 99197572
Fri Feb  3 12:49:48 2023  error -9 reading relation 99732199
Fri Feb  3 12:49:57 2023  error -9 reading relation 102082400
Fri Feb  3 12:50:19 2023  error -9 reading relation 107676190
Fri Feb  3 12:50:24 2023  error -5 reading relation 108948443
Fri Feb  3 12:50:25 2023  error -15 reading relation 109275761
Fri Feb  3 12:50:51 2023  error -9 reading relation 115814234
Fri Feb  3 12:50:52 2023  error -9 reading relation 116007914
Fri Feb  3 12:50:53 2023  error -15 reading relation 116388712
Fri Feb  3 12:50:57 2023  error -15 reading relation 117338317
Fri Feb  3 12:51:03 2023  error -15 reading relation 119042000
Fri Feb  3 12:51:04 2023  error -9 reading relation 119186246
Fri Feb  3 12:51:05 2023  error -15 reading relation 119487837
Fri Feb  3 12:51:06 2023  error -5 reading relation 119708100
Fri Feb  3 12:51:10 2023  error -15 reading relation 120641804
Fri Feb  3 12:51:11 2023  error -9 reading relation 121024431
Fri Feb  3 12:51:11 2023  error -5 reading relation 121093726
Fri Feb  3 12:51:21 2023  error -9 reading relation 123637846
Fri Feb  3 12:51:32 2023  error -9 reading relation 126337672
Fri Feb  3 12:51:33 2023  error -9 reading relation 126604392
Fri Feb  3 12:51:33 2023  error -5 reading relation 126612312
Fri Feb  3 12:52:13 2023  error -15 reading relation 136952722
Fri Feb  3 12:52:29 2023  error -9 reading relation 141083906
Fri Feb  3 12:52:52 2023  error -15 reading relation 147061878
Fri Feb  3 12:53:05 2023  error -9 reading relation 150260650
Fri Feb  3 12:53:10 2023  error -9 reading relation 151519729
Fri Feb  3 12:53:22 2023  error -5 reading relation 154600175
Fri Feb  3 12:53:22 2023  error -15 reading relation 154697594
Fri Feb  3 12:53:23 2023  error -9 reading relation 154866163
Fri Feb  3 12:53:39 2023  error -9 reading relation 159073006
Fri Feb  3 12:53:40 2023  error -5 reading relation 159281935
Fri Feb  3 12:53:48 2023  error -9 reading relation 161177453
Fri Feb  3 12:53:48 2023  error -1 reading relation 161302786
Fri Feb  3 12:53:52 2023  error -9 reading relation 162311280
Fri Feb  3 12:53:57 2023  error -15 reading relation 163685116
Fri Feb  3 12:53:58 2023  error -15 reading relation 163763354
Fri Feb  3 12:54:05 2023  error -15 reading relation 165735427
Fri Feb  3 12:55:30 2023  error -9 reading relation 187424391
Fri Feb  3 12:55:32 2023  error -9 reading relation 187907866
Fri Feb  3 12:55:32 2023  error -15 reading relation 187967055
Fri Feb  3 12:55:33 2023  error -15 reading relation 187991533
Fri Feb  3 12:55:33 2023  error -9 reading relation 188023423
Fri Feb  3 12:55:33 2023  error -9 reading relation 188103545
Fri Feb  3 12:55:33 2023  error -9 reading relation 188164907
Fri Feb  3 12:55:33 2023  error -5 reading relation 188221526
Fri Feb  3 12:55:34 2023  error -9 reading relation 188248980
Fri Feb  3 12:55:34 2023  error -9 reading relation 188309282
Fri Feb  3 12:55:34 2023  error -9 reading relation 188366505
Fri Feb  3 12:55:34 2023  error -15 reading relation 188391885
Fri Feb  3 12:55:34 2023  error -9 reading relation 188447181
Fri Feb  3 12:55:35 2023  error -15 reading relation 188606929
Fri Feb  3 12:55:35 2023  error -9 reading relation 188701579
Fri Feb  3 12:55:36 2023  error -9 reading relation 188757678
Fri Feb  3 12:55:36 2023  error -15 reading relation 188820906
Fri Feb  3 12:55:36 2023  error -9 reading relation 188827228
Fri Feb  3 12:55:37 2023  error -9 reading relation 189155057
Fri Feb  3 12:55:38 2023  error -9 reading relation 189303079
Fri Feb  3 12:55:38 2023  error -5 reading relation 189329947
Fri Feb  3 12:55:38 2023  error -15 reading relation 189412117
Fri Feb  3 12:55:49 2023  error -1 reading relation 192256046
Fri Feb  3 12:55:50 2023  error -9 reading relation 192471247
Fri Feb  3 12:55:53 2023  error -15 reading relation 193352527
Fri Feb  3 12:55:54 2023  error -15 reading relation 193400554
Fri Feb  3 12:56:33 2023  error -15 reading relation 203566475
Fri Feb  3 12:56:34 2023  error -9 reading relation 203601147
Fri Feb  3 12:56:38 2023  skipped 74 relations with b > 2^32
Fri Feb  3 12:56:38 2023  skipped 24 relations with composite factors
Fri Feb  3 12:56:38 2023  found 45014902 hash collisions in 204862230 relations
Fri Feb  3 12:57:03 2023  added 406034 free relations
Fri Feb  3 12:57:03 2023  commencing duplicate removal, pass 2
Fri Feb  3 13:02:34 2023  found 48576487 duplicates and 156691777 unique relations
Fri Feb  3 13:02:34 2023  memory use: 1321.5 MB
Fri Feb  3 13:02:34 2023  reading ideals above 119996416
Fri Feb  3 13:02:34 2023  commencing singleton removal, initial pass
Fri Feb  3 13:13:46 2023  memory use: 3012.0 MB
Fri Feb  3 13:13:46 2023  reading all ideals from disk
Fri Feb  3 13:14:02 2023  memory use: 3897.7 MB
Fri Feb  3 13:14:12 2023  commencing in-memory singleton removal
Fri Feb  3 13:14:17 2023  begin with 156691777 relations and 120308372 unique ideals
Fri Feb  3 13:14:43 2023  reduce to 112246282 relations and 72324066 ideals in 12 passes
Fri Feb  3 13:14:43 2023  max relations containing the same ideal: 36
Fri Feb  3 13:14:47 2023  reading ideals above 720000
Fri Feb  3 13:14:48 2023  commencing singleton removal, initial pass
Fri Feb  3 13:30:33 2023  memory use: 2756.0 MB
Fri Feb  3 13:30:34 2023  reading all ideals from disk
Fri Feb  3 13:31:05 2023  memory use: 5206.8 MB
Fri Feb  3 13:31:25 2023  keeping 85443659 ideals with weight <= 200, target excess is 564358
Fri Feb  3 13:31:48 2023  commencing in-memory singleton removal
Fri Feb  3 13:32:01 2023  begin with 112246282 relations and 85443659 unique ideals
Fri Feb  3 13:32:13 2023  reduce to 112246023 relations and 85443400 ideals in 5 passes
Fri Feb  3 13:32:13 2023  max relations containing the same ideal: 200
Fri Feb  3 13:33:06 2023  removing 8624548 relations and 6624548 ideals in 2000000 cliques
Fri Feb  3 13:33:13 2023  commencing in-memory singleton removal
Fri Feb  3 13:33:23 2023  begin with 103621475 relations and 85443400 unique ideals
Fri Feb  3 13:33:42 2023  reduce to 103095242 relations and 78280579 ideals in 8 passes
Fri Feb  3 13:33:42 2023  max relations containing the same ideal: 197
Fri Feb  3 13:34:30 2023  removing 6800233 relations and 4800233 ideals in 2000000 cliques
Fri Feb  3 13:34:36 2023  commencing in-memory singleton removal
Fri Feb  3 13:34:47 2023  begin with 96295009 relations and 78280579 unique ideals
Fri Feb  3 13:34:59 2023  reduce to 95930717 relations and 73108937 ideals in 6 passes
Fri Feb  3 13:34:59 2023  max relations containing the same ideal: 190
Fri Feb  3 13:35:42 2023  removing 6308308 relations and 4308308 ideals in 2000000 cliques
Fri Feb  3 13:35:48 2023  commencing in-memory singleton removal
Fri Feb  3 13:35:56 2023  begin with 89622409 relations and 73108937 unique ideals
Fri Feb  3 13:36:08 2023  reduce to 89301661 relations and 68473497 ideals in 6 passes
Fri Feb  3 13:36:08 2023  max relations containing the same ideal: 182
Fri Feb  3 13:36:46 2023  removing 6062538 relations and 4062538 ideals in 2000000 cliques
Fri Feb  3 13:36:52 2023  commencing in-memory singleton removal
Fri Feb  3 13:37:01 2023  begin with 83239123 relations and 68473497 unique ideals
Fri Feb  3 13:37:10 2023  reduce to 82932073 relations and 64097536 ideals in 6 passes
Fri Feb  3 13:37:10 2023  max relations containing the same ideal: 176
Fri Feb  3 13:37:46 2023  removing 5911608 relations and 3911608 ideals in 2000000 cliques
Fri Feb  3 13:37:52 2023  commencing in-memory singleton removal
Fri Feb  3 13:38:00 2023  begin with 77020465 relations and 64097536 unique ideals
Fri Feb  3 13:38:09 2023  reduce to 76717076 relations and 59875910 ideals in 6 passes
Fri Feb  3 13:38:09 2023  max relations containing the same ideal: 168
Fri Feb  3 13:38:47 2023  removing 5815461 relations and 3815461 ideals in 2000000 cliques
Fri Feb  3 13:38:52 2023  commencing in-memory singleton removal
Fri Feb  3 13:38:58 2023  begin with 70901615 relations and 59875910 unique ideals
Fri Feb  3 13:39:10 2023  reduce to 70592151 relations and 55743788 ideals in 8 passes
Fri Feb  3 13:39:10 2023  max relations containing the same ideal: 158
Fri Feb  3 13:39:45 2023  removing 5754391 relations and 3754391 ideals in 2000000 cliques
Fri Feb  3 13:39:49 2023  commencing in-memory singleton removal
Fri Feb  3 13:39:55 2023  begin with 64837760 relations and 55743788 unique ideals
Fri Feb  3 13:40:05 2023  reduce to 64516616 relations and 51660234 ideals in 6 passes
Fri Feb  3 13:40:05 2023  max relations containing the same ideal: 149
Fri Feb  3 13:40:33 2023  removing 5720445 relations and 3720445 ideals in 2000000 cliques
Fri Feb  3 13:40:38 2023  commencing in-memory singleton removal
Fri Feb  3 13:40:43 2023  begin with 58796171 relations and 51660234 unique ideals
Fri Feb  3 13:40:54 2023  reduce to 58454453 relations and 47588876 ideals in 7 passes
Fri Feb  3 13:40:54 2023  max relations containing the same ideal: 138
Fri Feb  3 13:41:19 2023  removing 5708174 relations and 3708174 ideals in 2000000 cliques
Fri Feb  3 13:41:23 2023  commencing in-memory singleton removal
Fri Feb  3 13:41:29 2023  begin with 52746279 relations and 47588876 unique ideals
Fri Feb  3 13:41:37 2023  reduce to 52378466 relations and 43502017 ideals in 7 passes
Fri Feb  3 13:41:37 2023  max relations containing the same ideal: 128
Fri Feb  3 13:42:00 2023  removing 5713874 relations and 3713874 ideals in 2000000 cliques
Fri Feb  3 13:42:04 2023  commencing in-memory singleton removal
Fri Feb  3 13:42:09 2023  begin with 46664592 relations and 43502017 unique ideals
Fri Feb  3 13:42:16 2023  reduce to 46255716 relations and 39365786 ideals in 6 passes
Fri Feb  3 13:42:16 2023  max relations containing the same ideal: 118
Fri Feb  3 13:42:34 2023  removing 5736075 relations and 3736075 ideals in 2000000 cliques
Fri Feb  3 13:42:38 2023  commencing in-memory singleton removal
Fri Feb  3 13:42:41 2023  begin with 40519641 relations and 39365786 unique ideals
Fri Feb  3 13:42:50 2023  reduce to 40056744 relations and 35150060 ideals in 7 passes
Fri Feb  3 13:42:50 2023  max relations containing the same ideal: 109
Fri Feb  3 13:43:09 2023  removing 5779567 relations and 3779567 ideals in 2000000 cliques
Fri Feb  3 13:43:13 2023  commencing in-memory singleton removal
Fri Feb  3 13:43:15 2023  begin with 34277177 relations and 35150060 unique ideals
Fri Feb  3 13:43:23 2023  reduce to 33730780 relations and 30801363 ideals in 7 passes
Fri Feb  3 13:43:23 2023  max relations containing the same ideal: 96
Fri Feb  3 13:43:39 2023  removing 5849716 relations and 3849716 ideals in 2000000 cliques
Fri Feb  3 13:43:42 2023  commencing in-memory singleton removal
Fri Feb  3 13:43:45 2023  begin with 27881064 relations and 30801363 unique ideals
Fri Feb  3 13:43:52 2023  reduce to 27200332 relations and 26237071 ideals in 8 passes
Fri Feb  3 13:43:52 2023  max relations containing the same ideal: 83
Fri Feb  3 13:44:04 2023  removing 1307168 relations and 998563 ideals in 308605 cliques
Fri Feb  3 13:44:06 2023  commencing in-memory singleton removal
Fri Feb  3 13:44:08 2023  begin with 25893164 relations and 26237071 unique ideals
Fri Feb  3 13:44:13 2023  reduce to 25841792 relations and 25186568 ideals in 7 passes
Fri Feb  3 13:44:13 2023  max relations containing the same ideal: 81
Fri Feb  3 13:44:30 2023  relations with 0 large ideals: 7125
Fri Feb  3 13:44:30 2023  relations with 1 large ideals: 7382
Fri Feb  3 13:44:30 2023  relations with 2 large ideals: 113231
Fri Feb  3 13:44:30 2023  relations with 3 large ideals: 741547
Fri Feb  3 13:44:30 2023  relations with 4 large ideals: 2603132
Fri Feb  3 13:44:30 2023  relations with 5 large ideals: 5409569
Fri Feb  3 13:44:30 2023  relations with 6 large ideals: 7011616
Fri Feb  3 13:44:30 2023  relations with 7+ large ideals: 9948190
Fri Feb  3 13:44:30 2023  commencing 2-way merge
Fri Feb  3 13:44:52 2023  reduce to 17465112 relation sets and 16809888 unique ideals
Fri Feb  3 13:44:52 2023  commencing full merge
Fri Feb  3 13:56:05 2023  memory use: 2191.8 MB
Fri Feb  3 13:56:08 2023  found 7621008 cycles, need 7616088
Fri Feb  3 13:56:12 2023  weight of 7616088 cycles is about 990681145 (130.08/cycle)
Fri Feb  3 13:56:12 2023  distribution of cycle lengths:
Fri Feb  3 13:56:12 2023  1 relations: 197492
Fri Feb  3 13:56:12 2023  2 relations: 373545
Fri Feb  3 13:56:12 2023  3 relations: 468682
Fri Feb  3 13:56:12 2023  4 relations: 505434
Fri Feb  3 13:56:12 2023  5 relations: 537514
Fri Feb  3 13:56:12 2023  6 relations: 544926
Fri Feb  3 13:56:12 2023  7 relations: 542687
Fri Feb  3 13:56:12 2023  8 relations: 527919
Fri Feb  3 13:56:12 2023  9 relations: 503643
Fri Feb  3 13:56:12 2023  10+ relations: 3414246
Fri Feb  3 13:56:12 2023  heaviest cycle: 28 relations
Fri Feb  3 13:56:15 2023  commencing cycle optimization
Fri Feb  3 13:56:44 2023  start with 73390488 relations
Fri Feb  3 14:01:44 2023  pruned 4015122 relations
Fri Feb  3 14:01:44 2023  memory use: 1829.2 MB
Fri Feb  3 14:01:45 2023  distribution of cycle lengths:
Fri Feb  3 14:01:45 2023  1 relations: 197492
Fri Feb  3 14:01:45 2023  2 relations: 384476
Fri Feb  3 14:01:45 2023  3 relations: 491266
Fri Feb  3 14:01:45 2023  4 relations: 530320
Fri Feb  3 14:01:45 2023  5 relations: 569189
Fri Feb  3 14:01:45 2023  6 relations: 578010
Fri Feb  3 14:01:45 2023  7 relations: 577996
Fri Feb  3 14:01:45 2023  8 relations: 560395
Fri Feb  3 14:01:45 2023  9 relations: 533790
Fri Feb  3 14:01:45 2023  10+ relations: 3193154
Fri Feb  3 14:01:45 2023  heaviest cycle: 28 relations
Fri Feb  3 14:02:06 2023  RelProcTime: 4725
Fri Feb  3 14:02:06 2023  elapsed time 01:18:47
Fri Feb  3 14:11:19 2023  
Fri Feb  3 14:11:19 2023  
Fri Feb  3 14:11:19 2023  Msieve v. 1.54 (SVN unknown)
Fri Feb  3 14:11:19 2023  random seeds: 2d80fa2c 6015efec
Fri Feb  3 14:11:19 2023  factoring 370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370370537037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037 (240 digits)
Fri Feb  3 14:11:21 2023  searching for 15-digit factors
Fri Feb  3 14:11:22 2023  commencing number field sieve (240-digit input)
Fri Feb  3 14:11:22 2023  R0: -10000000000000000000000000000000000000000
Fri Feb  3 14:11:22 2023  R1: 1
Fri Feb  3 14:11:22 2023  A0: -2
Fri Feb  3 14:11:22 2023  A1: 0
Fri Feb  3 14:11:22 2023  A2: 0
Fri Feb  3 14:11:22 2023  A3: 9
Fri Feb  3 14:11:22 2023  A4: 0
Fri Feb  3 14:11:22 2023  A5: 0
Fri Feb  3 14:11:22 2023  A6: 20
Fri Feb  3 14:11:22 2023  skew 1.00, size 8.649e-12, alpha 0.140, combined = 5.680e-13 rroots = 2
Fri Feb  3 14:11:22 2023  
Fri Feb  3 14:11:22 2023  commencing linear algebra
Fri Feb  3 14:11:22 2023  using VBITS=256
Fri Feb  3 14:11:23 2023  read 7616088 cycles
Fri Feb  3 14:11:55 2023  cycles contain 25533350 unique relations
Fri Feb  3 14:17:35 2023  read 25533350 relations
Fri Feb  3 14:17:43 2023  using 20 quadratic characters above 4294917295
Fri Feb  3 14:18:01 2023  building initial matrix
Fri Feb  3 14:29:23 2023  memory use: 3351.5 MB
Fri Feb  3 14:29:31 2023  read 7616088 cycles
Fri Feb  3 14:29:33 2023  matrix is 7615911 x 7616088 (3799.2 MB) with weight 1100612068 (144.51/col)
Fri Feb  3 14:29:33 2023  sparse part has weight 912166085 (119.77/col)
Fri Feb  3 14:32:14 2023  filtering completed in 2 passes
Fri Feb  3 14:32:16 2023  matrix is 7615880 x 7616057 (3799.2 MB) with weight 1100611088 (144.51/col)
Fri Feb  3 14:32:16 2023  sparse part has weight 912165847 (119.77/col)
Fri Feb  3 14:33:09 2023  matrix starts at (0, 0)
Fri Feb  3 14:33:11 2023  matrix is 7615880 x 7616057 (3799.2 MB) with weight 1100611088 (144.51/col)
Fri Feb  3 14:33:11 2023  sparse part has weight 912165847 (119.77/col)
Fri Feb  3 14:33:11 2023  saving the first 240 matrix rows for later
Fri Feb  3 14:33:15 2023  matrix includes 256 packed rows
Fri Feb  3 14:33:19 2023  matrix is 7615640 x 7616057 (3469.7 MB) with weight 831242218 (109.14/col)
Fri Feb  3 14:33:19 2023  sparse part has weight 787697843 (103.43/col)
Fri Feb  3 14:33:19 2023  using block size 8192 and superblock size 878592 for processor cache size 36608 kB
Fri Feb  3 14:33:57 2023  commencing Lanczos iteration (8 threads)
Fri Feb  3 14:33:57 2023  memory use: 4667.5 MB
Fri Feb  3 14:40:26 2023  linear algebra at 0.4%, ETA 26h29m
Fri Feb  3 14:50:04 2023  checking every 10000 dimensions, checkpointing every 290000 dimensions
Sat Feb  4 17:25:00 2023  lanczos halted after 29839 iterations (dim = 7615638)
Sat Feb  4 17:25:51 2023  recovered 32 nontrivial dependencies
Sat Feb  4 17:25:52 2023  BLanczosTime: 98070
Sat Feb  4 17:25:52 2023  
Sat Feb  4 17:25:52 2023  commencing square root phase
Sat Feb  4 17:25:52 2023  reading relations for dependency 1
Sat Feb  4 17:25:54 2023  read 3809105 cycles
Sat Feb  4 17:26:09 2023  cycles contain 12764424 unique relations
Sat Feb  4 17:31:07 2023  read 12764424 relations
Sat Feb  4 17:33:02 2023  multiplying 12764424 relations
Sat Feb  4 17:41:51 2023  multiply complete, coefficients have about 369.11 million bits
Sat Feb  4 17:41:52 2023  initial square root is modulo 4198309
Sat Feb  4 17:44:49 2023  GCD is 1, no factor found
Sat Feb  4 17:44:49 2023  reading relations for dependency 2
Sat Feb  4 17:44:50 2023  read 3807695 cycles
Sat Feb  4 17:45:00 2023  cycles contain 12766624 unique relations
Sat Feb  4 17:48:32 2023  read 12766624 relations
Sat Feb  4 17:49:59 2023  multiplying 12766624 relations
Sat Feb  4 17:57:09 2023  multiply complete, coefficients have about 369.17 million bits
Sat Feb  4 17:57:10 2023  initial square root is modulo 4207867
Sat Feb  4 18:01:37 2023  GCD is N, no factor found
Sat Feb  4 18:01:37 2023  reading relations for dependency 3
Sat Feb  4 18:01:39 2023  read 3809065 cycles
Sat Feb  4 18:01:51 2023  cycles contain 12771996 unique relations
Sat Feb  4 18:05:20 2023  read 12771996 relations
Sat Feb  4 18:06:46 2023  multiplying 12771996 relations
Sat Feb  4 18:13:57 2023  multiply complete, coefficients have about 369.32 million bits
Sat Feb  4 18:13:58 2023  initial square root is modulo 4235443
Sat Feb  4 18:18:24 2023  GCD is N, no factor found
Sat Feb  4 18:18:24 2023  reading relations for dependency 4
Sat Feb  4 18:18:26 2023  read 3808328 cycles
Sat Feb  4 18:18:38 2023  cycles contain 12766848 unique relations
Sat Feb  4 18:22:11 2023  read 12766848 relations
Sat Feb  4 18:23:35 2023  multiplying 12766848 relations
Sat Feb  4 18:30:39 2023  multiply complete, coefficients have about 369.18 million bits
Sat Feb  4 18:30:40 2023  initial square root is modulo 4210553
Sat Feb  4 18:35:00 2023  GCD is N, no factor found
Sat Feb  4 18:35:00 2023  reading relations for dependency 5
Sat Feb  4 18:35:02 2023  read 3806244 cycles
Sat Feb  4 18:35:14 2023  cycles contain 12764716 unique relations
Sat Feb  4 18:38:43 2023  read 12764716 relations
Sat Feb  4 18:39:49 2023  multiplying 12764716 relations
Sat Feb  4 18:46:56 2023  multiply complete, coefficients have about 369.12 million bits
Sat Feb  4 18:46:57 2023  initial square root is modulo 4199411
Sat Feb  4 18:51:22 2023  GCD is N, no factor found
Sat Feb  4 18:51:22 2023  reading relations for dependency 6
Sat Feb  4 18:51:24 2023  read 3808621 cycles
Sat Feb  4 18:51:36 2023  cycles contain 12765372 unique relations
Sat Feb  4 18:55:04 2023  read 12765372 relations
Sat Feb  4 18:56:11 2023  multiplying 12765372 relations
Sat Feb  4 19:03:29 2023  multiply complete, coefficients have about 369.14 million bits
Sat Feb  4 19:03:30 2023  initial square root is modulo 4202903
Sat Feb  4 19:07:59 2023  sqrtTime: 6127
Sat Feb  4 19:07:59 2023  p59 factor: 45429341368746103610127021900105468321245170004480096063287
Sat Feb  4 19:07:59 2023  p181 factor: 8152668720510507639940474166406553140140886889094774068288276569769773422567128972283125436343407595673273105712067613959543868961270886153570527364380914128437062232196849060896251
Sat Feb  4 19:07:59 2023  elapsed time 28:56:40

6969967157305655761030884349642017956322129271437209109727558690451623831234958505938471262745255806472282228411971255939396525885388132274559078309386233822784640024092667274629021929809796078346584948541324924820714497048668471762701<235>

13842953231651653675668347194810218569865945577054611045123874895714696223621787<80>
503502904378016405268548697606925683093381297437981416765014076025842383586159870585136453158763036672230062942249554350192366788942835657541932448564136823<156>

Thu Feb 23 17:48:00 2023  Msieve v. 1.54 (SVN unknown)
Thu Feb 23 17:48:00 2023  random seeds: 33372e61 62b3edf7
Thu Feb 23 17:48:00 2023  factoring 6969967157305655761030884349642017956322129271437209109727558690451623831234958505938471262745255806472282228411971255939396525885388132274559078309386233822784640024092667274629021929809796078346584948541324924820714497048668471762701 (235 digits)
Thu Feb 23 17:48:01 2023  searching for 15-digit factors
Thu Feb 23 17:48:02 2023  commencing number field sieve (235-digit input)
Thu Feb 23 17:48:02 2023  R0: -10000000000000000000000000000000000000000
Thu Feb 23 17:48:02 2023  R1: 1
Thu Feb 23 17:48:02 2023  A0: -1
Thu Feb 23 17:48:02 2023  A1: 0
Thu Feb 23 17:48:02 2023  A2: 0
Thu Feb 23 17:48:02 2023  A3: 45
Thu Feb 23 17:48:02 2023  A4: 0
Thu Feb 23 17:48:02 2023  A5: 0
Thu Feb 23 17:48:02 2023  A6: 1000
Thu Feb 23 17:48:02 2023  skew 1.00, size 5.112e-12, alpha -0.013, combined = 3.763e-13 rroots = 2
Thu Feb 23 17:48:02 2023  
Thu Feb 23 17:48:02 2023  commencing relation filtering
Thu Feb 23 17:48:02 2023  setting target matrix density to 110.0
Thu Feb 23 17:48:02 2023  estimated available RAM is 15536.6 MB
Thu Feb 23 17:48:02 2023  commencing duplicate removal, pass 1
Thu Feb 23 17:48:06 2023  error -9 reading relation 875865
Thu Feb 23 17:48:39 2023  error -9 reading relation 9571262
Thu Feb 23 17:48:40 2023  error -5 reading relation 9760785
Thu Feb 23 17:50:24 2023  error -5 reading relation 36651732
Thu Feb 23 17:50:38 2023  error -15 reading relation 40370129
Thu Feb 23 17:50:47 2023  error -15 reading relation 42684284
Thu Feb 23 17:51:05 2023  error -15 reading relation 47331010
Thu Feb 23 17:51:35 2023  error -9 reading relation 55063006
Thu Feb 23 17:51:45 2023  error -9 reading relation 57639314
Thu Feb 23 17:51:53 2023  error -9 reading relation 59700025
Thu Feb 23 17:52:01 2023  error -9 reading relation 61581154
Thu Feb 23 17:52:03 2023  error -9 reading relation 62074775
Thu Feb 23 17:52:08 2023  error -9 reading relation 63493252
Thu Feb 23 17:52:14 2023  error -9 reading relation 64882620
Thu Feb 23 17:52:15 2023  error -15 reading relation 65268411
Thu Feb 23 17:52:28 2023  error -9 reading relation 68510698
Thu Feb 23 17:52:30 2023  error -15 reading relation 69168897
Thu Feb 23 17:53:05 2023  error -5 reading relation 78250955
Thu Feb 23 17:53:16 2023  error -9 reading relation 80922274
Thu Feb 23 17:53:22 2023  error -9 reading relation 82613834
Thu Feb 23 17:53:29 2023  error -15 reading relation 84237925
Thu Feb 23 17:53:38 2023  error -9 reading relation 86535355
Thu Feb 23 17:53:39 2023  error -5 reading relation 87000060
Thu Feb 23 17:53:42 2023  error -9 reading relation 87576976
Thu Feb 23 17:53:51 2023  error -9 reading relation 90106180
Thu Feb 23 17:54:56 2023  error -9 reading relation 106534228
Thu Feb 23 17:55:19 2023  error -9 reading relation 112547513
Thu Feb 23 17:55:27 2023  error -15 reading relation 114382774
Thu Feb 23 17:55:30 2023  error -9 reading relation 115351805
Thu Feb 23 17:55:34 2023  error -9 reading relation 116337306
Thu Feb 23 17:55:59 2023  error -9 reading relation 122496578
Thu Feb 23 17:56:03 2023  error -5 reading relation 123454174
Thu Feb 23 17:56:03 2023  error -9 reading relation 123487731
Thu Feb 23 17:56:03 2023  error -9 reading relation 123488278
Thu Feb 23 17:56:31 2023  error -15 reading relation 130482426
Thu Feb 23 17:56:31 2023  error -15 reading relation 130637353
Thu Feb 23 17:56:36 2023  error -9 reading relation 131890795
Thu Feb 23 17:56:55 2023  error -1 reading relation 136518748
Thu Feb 23 17:56:57 2023  error -1 reading relation 137011923
Thu Feb 23 17:57:06 2023  error -9 reading relation 139454430
Thu Feb 23 17:57:08 2023  error -9 reading relation 139819813
Thu Feb 23 17:57:10 2023  error -9 reading relation 140434230
Thu Feb 23 17:57:21 2023  error -15 reading relation 143036347
Thu Feb 23 17:57:21 2023  error -15 reading relation 143110824
Thu Feb 23 17:57:21 2023  error -9 reading relation 143145993
Thu Feb 23 17:57:21 2023  error -9 reading relation 143153426
Thu Feb 23 17:57:29 2023  error -15 reading relation 145295456
Thu Feb 23 17:58:02 2023  error -9 reading relation 153518940
Thu Feb 23 17:58:02 2023  error -9 reading relation 153567377
Thu Feb 23 17:58:18 2023  error -9 reading relation 157674009
Thu Feb 23 17:58:19 2023  error -9 reading relation 158093433
Thu Feb 23 17:58:19 2023  error -9 reading relation 158100198
Thu Feb 23 17:58:23 2023  error -15 reading relation 158994972
Thu Feb 23 17:58:34 2023  error -15 reading relation 161936219
Thu Feb 23 17:58:34 2023  error -9 reading relation 161952807
Thu Feb 23 17:58:39 2023  error -15 reading relation 163255341
Thu Feb 23 17:59:07 2023  error -9 reading relation 170418679
Thu Feb 23 17:59:17 2023  error -15 reading relation 172918892
Thu Feb 23 17:59:17 2023  error -9 reading relation 172924570
Thu Feb 23 17:59:18 2023  error -9 reading relation 173356608
Thu Feb 23 17:59:18 2023  error -5 reading relation 173379120
Thu Feb 23 17:59:21 2023  error -9 reading relation 174128750
Thu Feb 23 17:59:22 2023  error -9 reading relation 174289215
Thu Feb 23 17:59:22 2023  error -9 reading relation 174297862
Thu Feb 23 17:59:22 2023  error -1 reading relation 174344887
Thu Feb 23 17:59:22 2023  error -5 reading relation 174347273
Thu Feb 23 17:59:28 2023  error -9 reading relation 175720089
Thu Feb 23 17:59:28 2023  error -5 reading relation 175854397
Thu Feb 23 17:59:42 2023  error -9 reading relation 179472577
Thu Feb 23 17:59:43 2023  error -9 reading relation 179538520
Thu Feb 23 17:59:43 2023  error -5 reading relation 179602133
Thu Feb 23 17:59:44 2023  error -5 reading relation 179775551
Thu Feb 23 17:59:44 2023  error -15 reading relation 179862581
Thu Feb 23 17:59:44 2023  error -15 reading relation 179925094
Thu Feb 23 17:59:54 2023  error -15 reading relation 182480751
Thu Feb 23 18:00:25 2023  skipped 275 relations with b > 2^32
Thu Feb 23 18:00:25 2023  skipped 51 relations with composite factors
Thu Feb 23 18:00:25 2023  found 44042547 hash collisions in 190110560 relations
Thu Feb 23 18:00:41 2023  commencing duplicate removal, pass 2
Thu Feb 23 18:04:28 2023  found 49226609 duplicates and 140883951 unique relations
Thu Feb 23 18:04:28 2023  memory use: 1321.5 MB
Thu Feb 23 18:04:28 2023  reading ideals above 143851520
Thu Feb 23 18:04:28 2023  commencing singleton removal, initial pass
Thu Feb 23 18:13:37 2023  memory use: 3012.0 MB
Thu Feb 23 18:13:37 2023  reading all ideals from disk
Thu Feb 23 18:13:46 2023  memory use: 3422.5 MB
Thu Feb 23 18:13:53 2023  commencing in-memory singleton removal
Thu Feb 23 18:13:57 2023  begin with 140883951 relations and 114301886 unique ideals
Thu Feb 23 18:14:23 2023  reduce to 91843361 relations and 60538167 ideals in 16 passes
Thu Feb 23 18:14:23 2023  max relations containing the same ideal: 32
Thu Feb 23 18:14:26 2023  reading ideals above 720000
Thu Feb 23 18:14:26 2023  commencing singleton removal, initial pass
Thu Feb 23 18:23:46 2023  memory use: 1506.0 MB
Thu Feb 23 18:23:47 2023  reading all ideals from disk
Thu Feb 23 18:24:14 2023  memory use: 4288.9 MB
Thu Feb 23 18:24:28 2023  keeping 76306483 ideals with weight <= 200, target excess is 463600
Thu Feb 23 18:24:40 2023  commencing in-memory singleton removal
Thu Feb 23 18:24:47 2023  begin with 91843362 relations and 76306483 unique ideals
Thu Feb 23 18:25:10 2023  reduce to 91832617 relations and 76295727 ideals in 10 passes
Thu Feb 23 18:25:10 2023  max relations containing the same ideal: 200
Thu Feb 23 18:25:49 2023  removing 9699260 relations and 7699260 ideals in 2000000 cliques
Thu Feb 23 18:25:53 2023  commencing in-memory singleton removal
Thu Feb 23 18:25:59 2023  begin with 82133357 relations and 76295727 unique ideals
Thu Feb 23 18:26:20 2023  reduce to 81315429 relations and 67755776 ideals in 8 passes
Thu Feb 23 18:26:20 2023  max relations containing the same ideal: 194
Thu Feb 23 18:26:55 2023  removing 7617749 relations and 5617749 ideals in 2000000 cliques
Thu Feb 23 18:26:58 2023  commencing in-memory singleton removal
Thu Feb 23 18:27:08 2023  begin with 73697680 relations and 67755776 unique ideals
Thu Feb 23 18:27:29 2023  reduce to 73119438 relations and 61545325 ideals in 8 passes
Thu Feb 23 18:27:29 2023  max relations containing the same ideal: 183
Thu Feb 23 18:28:00 2023  removing 7042415 relations and 5042415 ideals in 2000000 cliques
Thu Feb 23 18:28:03 2023  commencing in-memory singleton removal
Thu Feb 23 18:28:11 2023  begin with 66077023 relations and 61545325 unique ideals
Thu Feb 23 18:28:26 2023  reduce to 65543444 relations and 55955718 ideals in 7 passes
Thu Feb 23 18:28:26 2023  max relations containing the same ideal: 171
Thu Feb 23 18:28:53 2023  removing 6770828 relations and 4770828 ideals in 2000000 cliques
Thu Feb 23 18:28:57 2023  commencing in-memory singleton removal
Thu Feb 23 18:29:01 2023  begin with 58772616 relations and 55955718 unique ideals
Thu Feb 23 18:29:13 2023  reduce to 58240422 relations and 50637903 ideals in 7 passes
Thu Feb 23 18:29:13 2023  max relations containing the same ideal: 161
Thu Feb 23 18:29:39 2023  removing 6621048 relations and 4621048 ideals in 2000000 cliques
Thu Feb 23 18:29:42 2023  commencing in-memory singleton removal
Thu Feb 23 18:29:48 2023  begin with 51619374 relations and 50637903 unique ideals
Thu Feb 23 18:30:00 2023  reduce to 51064898 relations and 45445352 ideals in 8 passes
Thu Feb 23 18:30:00 2023  max relations containing the same ideal: 144
Thu Feb 23 18:30:23 2023  removing 6529030 relations and 4529030 ideals in 2000000 cliques
Thu Feb 23 18:30:26 2023  commencing in-memory singleton removal
Thu Feb 23 18:30:31 2023  begin with 44535868 relations and 45445352 unique ideals
Thu Feb 23 18:30:42 2023  reduce to 43932535 relations and 40292236 ideals in 8 passes
Thu Feb 23 18:30:42 2023  max relations containing the same ideal: 131
Thu Feb 23 18:31:01 2023  removing 6486562 relations and 4486562 ideals in 2000000 cliques
Thu Feb 23 18:31:04 2023  commencing in-memory singleton removal
Thu Feb 23 18:31:08 2023  begin with 37445973 relations and 40292236 unique ideals
Thu Feb 23 18:31:17 2023  reduce to 36759262 relations and 35091852 ideals in 8 passes
Thu Feb 23 18:31:17 2023  max relations containing the same ideal: 116
Thu Feb 23 18:31:33 2023  removing 4114955 relations and 2985322 ideals in 1129633 cliques
Thu Feb 23 18:31:35 2023  commencing in-memory singleton removal
Thu Feb 23 18:31:39 2023  begin with 32644307 relations and 35091852 unique ideals
Thu Feb 23 18:31:47 2023  reduce to 32309913 relations and 31762850 ideals in 8 passes
Thu Feb 23 18:31:47 2023  max relations containing the same ideal: 107
Thu Feb 23 18:32:02 2023  removing 67916 relations and 58630 ideals in 9286 cliques
Thu Feb 23 18:32:03 2023  commencing in-memory singleton removal
Thu Feb 23 18:32:07 2023  begin with 32241997 relations and 31762850 unique ideals
Thu Feb 23 18:32:12 2023  reduce to 32241875 relations and 31704098 ideals in 6 passes
Thu Feb 23 18:32:12 2023  max relations containing the same ideal: 107
Thu Feb 23 18:32:18 2023  relations with 0 large ideals: 17676
Thu Feb 23 18:32:18 2023  relations with 1 large ideals: 4306
Thu Feb 23 18:32:18 2023  relations with 2 large ideals: 59091
Thu Feb 23 18:32:18 2023  relations with 3 large ideals: 458818
Thu Feb 23 18:32:18 2023  relations with 4 large ideals: 1952229
Thu Feb 23 18:32:18 2023  relations with 5 large ideals: 4997792
Thu Feb 23 18:32:18 2023  relations with 6 large ideals: 8033329
Thu Feb 23 18:32:18 2023  relations with 7+ large ideals: 16718634
Thu Feb 23 18:32:18 2023  commencing 2-way merge
Thu Feb 23 18:32:37 2023  reduce to 21633736 relation sets and 21095959 unique ideals
Thu Feb 23 18:32:37 2023  commencing full merge
Thu Feb 23 18:42:51 2023  memory use: 2792.1 MB
Thu Feb 23 18:42:54 2023  found 9922496 cycles, need 9898159
Thu Feb 23 18:43:00 2023  weight of 9898159 cycles is about 1089157619 (110.04/cycle)
Thu Feb 23 18:43:00 2023  distribution of cycle lengths:
Thu Feb 23 18:43:00 2023  1 relations: 463023
Thu Feb 23 18:43:00 2023  2 relations: 655420
Thu Feb 23 18:43:00 2023  3 relations: 761989
Thu Feb 23 18:43:00 2023  4 relations: 781390
Thu Feb 23 18:43:00 2023  5 relations: 790137
Thu Feb 23 18:43:00 2023  6 relations: 771136
Thu Feb 23 18:43:00 2023  7 relations: 743653
Thu Feb 23 18:43:00 2023  8 relations: 699282
Thu Feb 23 18:43:00 2023  9 relations: 644438
Thu Feb 23 18:43:00 2023  10+ relations: 3587691
Thu Feb 23 18:43:00 2023  heaviest cycle: 28 relations
Thu Feb 23 18:43:05 2023  commencing cycle optimization
Thu Feb 23 18:43:39 2023  start with 83016768 relations
Thu Feb 23 18:48:20 2023  pruned 3773608 relations
Thu Feb 23 18:48:20 2023  memory use: 2200.5 MB
Thu Feb 23 18:48:20 2023  distribution of cycle lengths:
Thu Feb 23 18:48:20 2023  1 relations: 463023
Thu Feb 23 18:48:20 2023  2 relations: 672183
Thu Feb 23 18:48:20 2023  3 relations: 795429
Thu Feb 23 18:48:20 2023  4 relations: 814982
Thu Feb 23 18:48:20 2023  5 relations: 829654
Thu Feb 23 18:48:20 2023  6 relations: 807338
Thu Feb 23 18:48:20 2023  7 relations: 781364
Thu Feb 23 18:48:20 2023  8 relations: 729217
Thu Feb 23 18:48:20 2023  9 relations: 669623
Thu Feb 23 18:48:20 2023  10+ relations: 3335346
Thu Feb 23 18:48:20 2023  heaviest cycle: 28 relations
Thu Feb 23 18:48:44 2023  RelProcTime: 3642
Thu Feb 23 18:48:44 2023  elapsed time 01:00:44
Thu Feb 23 20:45:15 2023  
Thu Feb 23 20:45:15 2023  
Thu Feb 23 20:45:15 2023  Msieve v. 1.54 (SVN unknown)
Thu Feb 23 20:45:15 2023  random seeds: bc810ca6 9191aaf0
Thu Feb 23 20:45:15 2023  factoring 6969967157305655761030884349642017956322129271437209109727558690451623831234958505938471262745255806472282228411971255939396525885388132274559078309386233822784640024092667274629021929809796078346584948541324924820714497048668471762701 (235 digits)
Thu Feb 23 20:45:17 2023  searching for 15-digit factors
Thu Feb 23 20:45:17 2023  commencing number field sieve (235-digit input)
Thu Feb 23 20:45:17 2023  R0: -10000000000000000000000000000000000000000
Thu Feb 23 20:45:17 2023  R1: 1
Thu Feb 23 20:45:17 2023  A0: -1
Thu Feb 23 20:45:17 2023  A1: 0
Thu Feb 23 20:45:17 2023  A2: 0
Thu Feb 23 20:45:17 2023  A3: 45
Thu Feb 23 20:45:17 2023  A4: 0
Thu Feb 23 20:45:17 2023  A5: 0
Thu Feb 23 20:45:17 2023  A6: 1000
Thu Feb 23 20:45:17 2023  skew 1.00, size 5.112e-12, alpha -0.013, combined = 3.763e-13 rroots = 2
Thu Feb 23 20:45:17 2023  
Thu Feb 23 20:45:17 2023  commencing linear algebra
Thu Feb 23 20:45:17 2023  using VBITS=256
Thu Feb 23 20:45:19 2023  read 9898159 cycles
Thu Feb 23 20:45:48 2023  cycles contain 31950049 unique relations
Thu Feb 23 20:49:49 2023  read 31950049 relations
Thu Feb 23 20:50:00 2023  using 20 quadratic characters above 4294917295
Thu Feb 23 20:50:28 2023  building initial matrix
Thu Feb 23 21:02:50 2023  memory use: 4075.8 MB
Thu Feb 23 21:03:00 2023  read 9898159 cycles
Thu Feb 23 21:03:02 2023  matrix is 9897982 x 9898159 (4302.8 MB) with weight 1243059610 (125.58/col)
Thu Feb 23 21:03:02 2023  sparse part has weight 1019069849 (102.96/col)
Thu Feb 23 21:06:10 2023  filtering completed in 2 passes
Thu Feb 23 21:06:12 2023  matrix is 9897817 x 9897990 (4302.8 MB) with weight 1243054284 (125.59/col)
Thu Feb 23 21:06:12 2023  sparse part has weight 1019068327 (102.96/col)
Thu Feb 23 21:07:15 2023  matrix starts at (0, 0)
Thu Feb 23 21:07:17 2023  matrix is 9897817 x 9897990 (4302.8 MB) with weight 1243054284 (125.59/col)
Thu Feb 23 21:07:17 2023  sparse part has weight 1019068327 (102.96/col)
Thu Feb 23 21:07:17 2023  saving the first 240 matrix rows for later
Thu Feb 23 21:07:21 2023  matrix includes 256 packed rows
Thu Feb 23 21:07:27 2023  matrix is 9897577 x 9897990 (3994.5 MB) with weight 933586958 (94.32/col)
Thu Feb 23 21:07:27 2023  sparse part has weight 888769764 (89.79/col)
Thu Feb 23 21:07:27 2023  using block size 8192 and superblock size 878592 for processor cache size 36608 kB
Thu Feb 23 21:08:11 2023  commencing Lanczos iteration (8 threads)
Thu Feb 23 21:08:11 2023  memory use: 5605.4 MB
Thu Feb 23 21:19:17 2023  linear algebra at 0.3%, ETA 58h49m
Thu Feb 23 21:31:41 2023  checking every 10000 dimensions, checkpointing every 200000 dimensions
Sat Feb 25 15:40:21 2023  lanczos halted after 38780 iterations (dim = 9897574)
Sat Feb 25 15:41:31 2023  recovered 30 nontrivial dependencies
Sat Feb 25 15:41:31 2023  BLanczosTime: 154574
Sat Feb 25 15:41:31 2023  
Sat Feb 25 15:41:31 2023  commencing square root phase
Sat Feb 25 15:41:31 2023  reading relations for dependency 1
Sat Feb 25 15:41:34 2023  read 4948836 cycles
Sat Feb 25 15:41:51 2023  cycles contain 15977076 unique relations
Sat Feb 25 15:47:02 2023  read 15977076 relations
Sat Feb 25 15:49:15 2023  multiplying 15977076 relations
Sat Feb 25 16:03:35 2023  multiply complete, coefficients have about 545.72 million bits
Sat Feb 25 16:03:37 2023  initial square root is modulo 78737
Sat Feb 25 16:09:26 2023  sqrtTime: 1675
Sat Feb 25 16:09:26 2023  p80 factor: 13842953231651653675668347194810218569865945577054611045123874895714696223621787
Sat Feb 25 16:09:26 2023  p156 factor: 503502904378016405268548697606925683093381297437981416765014076025842383586159870585136453158763036672230062942249554350192366788942835657541932448564136823
Sat Feb 25 16:09:26 2023  elapsed time 43:24:11

579723829848558541294321431219297709719839441068304471930795025182639282507654459321355775608312813310568221446857186396198634225725030927058773036970132791090472486868755570580294772839806824654575991601197455903529619223333073<228>

6396149044297196445860743166592319457878437153476612118823789235944682714241520471216505204298416088396021532972191136830036171036181679321441261126685135722431055730585181352424388069767915945012556671265549<208>

2915878374504521333968097227113408388239443491219726811427150467495591127307352406121002733676737830810147223987699305817571995352512387547583720014138574353203638171639016917113<178>

60335769254041550560180779930100166858249<41>

48327524626848164362142587431694396895788162200177181298409386326646668379034151370470952905479677474003171660016260026700979573424913137<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1736057441
Step 1 took 82861ms
Step 2 took 32159ms
********** Factor found in step 2: 60335769254041550560180779930100166858249
Found prime factor of 41 digits: 60335769254041550560180779930100166858249
Composite cofactor 48327524626848164362142587431694396895788162200177181298409386326646668379034151370470952905479677474003171660016260026700979573424913137 has 137 digits

48327524626848164362142587431694396895788162200177181298409386326646668379034151370470952905479677474003171660016260026700979573424913137<137>

7337651435336907950566225828445940050574508269683714686309<58>
6586238805799748123922821315726678690110960467881168367817925796842303556289693<79>

48327524626848164362142587431694396895788162200177181298409386326646668379034151370470952905479677474003171660016260026700979573424913137=7337651435336907950566225828445940050574508269683714686309*6586238805799748123922821315726678690110960467881168367817925796842303556289693

cado polynomial
n: 48327524626848164362142587431694396895788162200177181298409386326646668379034151370470952905479677474003171660016260026700979573424913137
skew: 540210.801
c0: 532660275711308094290012977652187
c1: 359641643663412455086489151
c2: -8602842944415949539351
c3: -3142550010143647
c4: 6779119748
c5: 12000
Y0: -329894850214533234392877194
Y1: 18485893507266948349
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 9.666e-08
# f(x) = 12000*x^5+6779119748*x^4-3142550010143647*x^3-8602842944415949539351*x^2+359641643663412455086489151*x+532660275711308094290012977652187
# g(x) = 18485893507266948349*x-329894850214533234392877194

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 7337651435336907950566225828445940050574508269683714686309 6586238805799748123922821315726678690110960467881168367817925796842303556289693
Info:Square Root: Total cpu/real time for sqrt: 1556.13/459.858
Info:Filtering - Singleton removal: Total cpu/real time for purge: 179.1/206.314
Info:Filtering - Merging: Merged matrix has 1589539 rows and total weight 271700547 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 433.98/119.611
Info:Filtering - Merging: Total cpu/real time for replay: 60.66/52.3246
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17626218
Info:Lattice Sieving: Average J: 3821.62 for 924823 special-q, max bucket fill -bkmult 1.0,1s:1.193700
Info:Lattice Sieving: Total time: 304503s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7582.54
Info:Polynomial Selection (root optimized): Rootsieve time: 7580.01
Info:Linear Algebra: Total cpu/real time for bwc: 40460.2/10407.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 25830.41, WCT time 6602.94, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (49920 iterations)
Info:Linear Algebra: Lingen CPU time 326.53, WCT time 83.0
Info:Linear Algebra: Mksol: CPU time 14015.94,  WCT time 3612.83, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54328/40.480/49.137/53.940/0.943
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43857/40.140/44.064/49.800/1.216
Info:Polynomial Selection (size optimized): Total time: 11440
Info:Generate Factor Base: Total cpu/real time for makefb: 14.59/4.02568
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 278.19/258.961
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 223.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 250.62/63.711
Info:Square Root: Total cpu/real time for sqrt: 1556.13/459.858
Info:Quadratic Characters: Total cpu/real time for characters: 55.11/25.346
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 80.48/84.9236
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 84.3s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 631648/169349
Info:root: Cleaning up computation data in /tmp/cado.6lnq5u2e
7337651435336907950566225828445940050574508269683714686309 6586238805799748123922821315726678690110960467881168367817925796842303556289693

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)

800613462962135165748075186749766713036316244185359312672178398913668901450394142558068899344036064057199309811725730947728368016700322883572924178988189598809101993680595558367170615031968163440733418906561200378810734213263386289<231>

33743156318307729049589885243180266669223403049<47>
23726691581835020128945507174619506139669439549387472641138254675501723956609718745884205927468840607644677988982349369276362231845293606433360986011570708304272464595120984458950034761<185>

Resuming ECM residue saved by @ea4118e3d594 with GMP-ECM 7.0.5-dev on Mon Aug  8 16:45:51 2022 
Input number is 800613462962135165748075186749766713036316244185359312672178398913668901450394142558068899344036064057199309811725730947728368016700322883572924178988189598809101993680595558367170615031968163440733418906561200378810734213263386289 (231 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4263128700
Step 1 took 1ms
Step 2 took 18172ms
********** Factor found in step 2: 33743156318307729049589885243180266669223403049
Found prime factor of 47 digits: 33743156318307729049589885243180266669223403049
Prime cofactor 23726691581835020128945507174619506139669439549387472641138254675501723956609718745884205927468840607644677988982349369276362231845293606433360986011570708304272464595120984458950034761 has 185 digits

57355549367268641264513085376500545553810491270788864648363221547874277448525714985269043112065419080850602798303653540251828425636819790519695421489775839193301557<164>

120893078226375561544655622892119991256379813832859914986813894806803660790521<78>
474432037042425393985412294300979445054532965356662375902761927480803291812694762738717<87>

Sat Jan 21 20:39:29 2023  
Sat Jan 21 20:39:29 2023  
Sat Jan 21 20:39:29 2023  Msieve v. 1.54 (SVN unknown)
Sat Jan 21 20:39:29 2023  random seeds: bd576cf8 3d7664bb
Sat Jan 21 20:39:29 2023  factoring 57355549367268641264513085376500545553810491270788864648363221547874277448525714985269043112065419080850602798303653540251828425636819790519695421489775839193301557 (164 digits)
Sat Jan 21 20:39:30 2023  searching for 15-digit factors
Sat Jan 21 20:39:30 2023  commencing number field sieve (164-digit input)
Sat Jan 21 20:39:30 2023  R0: -53974505724646429463083029679193
Sat Jan 21 20:39:30 2023  R1: 13711108548803531
Sat Jan 21 20:39:30 2023  A0: 12039559758933796799000021156865917209200
Sat Jan 21 20:39:30 2023  A1: 16162147875421718480823795302980350
Sat Jan 21 20:39:30 2023  A2: 1968938372277627071006296205
Sat Jan 21 20:39:30 2023  A3: -141574517523411145360
Sat Jan 21 20:39:30 2023  A4: -4804324810152
Sat Jan 21 20:39:30 2023  A5: 125208
Sat Jan 21 20:39:30 2023  skew 17840250.17, size 5.953e-16, alpha -7.774, combined = 8.330e-13 rroots = 5
Sat Jan 21 20:39:30 2023  
Sat Jan 21 20:39:30 2023  commencing relation filtering
Sat Jan 21 20:39:30 2023  setting target matrix density to 130.0
Sat Jan 21 20:39:30 2023  estimated available RAM is 15536.6 MB
Sat Jan 21 20:39:30 2023  commencing duplicate removal, pass 1
Sat Jan 21 20:39:40 2023  error -15 reading relation 2579846
Sat Jan 21 20:39:43 2023  error -1 reading relation 3428979
Sat Jan 21 20:39:51 2023  error -1 reading relation 5569975
Sat Jan 21 20:39:51 2023  error -1 reading relation 5571681
Sat Jan 21 20:39:51 2023  error -15 reading relation 5577994
Sat Jan 21 20:39:51 2023  error -9 reading relation 5608685
Sat Jan 21 20:39:56 2023  error -9 reading relation 6877340
Sat Jan 21 20:40:07 2023  error -9 reading relation 9853290
Sat Jan 21 20:40:14 2023  error -9 reading relation 11535648
Sat Jan 21 20:40:31 2023  error -5 reading relation 16096713
Sat Jan 21 20:41:09 2023  error -9 reading relation 26184878
Sat Jan 21 20:42:46 2023  error -1 reading relation 52055235
Sat Jan 21 20:43:37 2023  error -15 reading relation 65776604
Sat Jan 21 20:43:59 2023  error -9 reading relation 71490968
Sat Jan 21 20:44:17 2023  error -9 reading relation 76240789
Sat Jan 21 20:44:33 2023  error -1 reading relation 80649436
Sat Jan 21 20:44:40 2023  error -15 reading relation 82707492
Sat Jan 21 20:45:06 2023  error -15 reading relation 89628283
Sat Jan 21 20:45:22 2023  error -15 reading relation 93770673
Sat Jan 21 20:45:28 2023  error -9 reading relation 95545395
Sat Jan 21 20:45:35 2023  error -15 reading relation 97511973
Sat Jan 21 20:45:37 2023  error -1 reading relation 98010949
Sat Jan 21 20:46:18 2023  error -9 reading relation 108869321
Sat Jan 21 20:46:18 2023  error -15 reading relation 108870195
Sat Jan 21 20:46:18 2023  error -9 reading relation 108871003
Sat Jan 21 20:46:18 2023  error -15 reading relation 108897731
Sat Jan 21 20:47:08 2023  error -9 reading relation 122250852
Sat Jan 21 20:47:08 2023  error -15 reading relation 122261849
Sat Jan 21 20:47:36 2023  error -15 reading relation 129698358
Sat Jan 21 20:47:36 2023  error -15 reading relation 129698553
Sat Jan 21 20:47:36 2023  error -15 reading relation 129709319
Sat Jan 21 20:47:36 2023  error -1 reading relation 129709784
Sat Jan 21 20:47:36 2023  error -15 reading relation 129711430
Sat Jan 21 20:47:36 2023  error -9 reading relation 129745324
Sat Jan 21 20:47:36 2023  error -15 reading relation 129745511
Sat Jan 21 20:48:01 2023  error -15 reading relation 136429011
Sat Jan 21 20:48:01 2023  error -15 reading relation 136452023
Sat Jan 21 20:48:02 2023  error -15 reading relation 136638830
Sat Jan 21 20:48:02 2023  error -15 reading relation 136801334
Sat Jan 21 20:48:02 2023  error -9 reading relation 136836106
Sat Jan 21 20:48:03 2023  error -1 reading relation 136966465
Sat Jan 21 20:48:03 2023  error -9 reading relation 137066786
Sat Jan 21 20:48:04 2023  error -15 reading relation 137192412
Sat Jan 21 20:48:04 2023  error -15 reading relation 137234160
Sat Jan 21 20:48:04 2023  error -5 reading relation 137306418
Sat Jan 21 20:48:06 2023  error -9 reading relation 137822014
Sat Jan 21 20:48:19 2023  error -9 reading relation 141175152
Sat Jan 21 20:48:21 2023  error -15 reading relation 141661446
Sat Jan 21 20:48:21 2023  error -15 reading relation 141670404
Sat Jan 21 20:48:21 2023  error -9 reading relation 141701258
Sat Jan 21 20:48:23 2023  skipped 23 relations with composite factors
Sat Jan 21 20:48:23 2023  found 31592482 hash collisions in 142257846 relations
Sat Jan 21 20:48:48 2023  commencing duplicate removal, pass 2
Sat Jan 21 20:51:21 2023  found 31873149 duplicates and 110384697 unique relations
Sat Jan 21 20:51:21 2023  memory use: 724.8 MB
Sat Jan 21 20:51:21 2023  reading ideals above 119865344
Sat Jan 21 20:51:21 2023  commencing singleton removal, initial pass
Sat Jan 21 20:58:09 2023  memory use: 1506.0 MB
Sat Jan 21 20:58:09 2023  reading all ideals from disk
Sat Jan 21 20:58:10 2023  memory use: 2564.4 MB
Sat Jan 21 20:58:14 2023  commencing in-memory singleton removal
Sat Jan 21 20:58:18 2023  begin with 110384697 relations and 79968947 unique ideals
Sat Jan 21 20:58:30 2023  reduce to 79750224 relations and 46797981 ideals in 12 passes
Sat Jan 21 20:58:30 2023  max relations containing the same ideal: 36
Sat Jan 21 20:58:33 2023  reading ideals above 720000
Sat Jan 21 20:58:33 2023  commencing singleton removal, initial pass
Sat Jan 21 21:05:48 2023  memory use: 1506.0 MB
Sat Jan 21 21:05:48 2023  reading all ideals from disk
Sat Jan 21 21:05:50 2023  memory use: 3609.9 MB
Sat Jan 21 21:05:59 2023  keeping 60032846 ideals with weight <= 200, target excess is 424827
Sat Jan 21 21:06:08 2023  commencing in-memory singleton removal
Sat Jan 21 21:06:15 2023  begin with 79750224 relations and 60032846 unique ideals
Sat Jan 21 21:06:30 2023  reduce to 79685972 relations and 59968584 ideals in 8 passes
Sat Jan 21 21:06:30 2023  max relations containing the same ideal: 200
Sat Jan 21 21:06:59 2023  removing 8037630 relations and 6037630 ideals in 2000000 cliques
Sat Jan 21 21:07:02 2023  commencing in-memory singleton removal
Sat Jan 21 21:07:08 2023  begin with 71648342 relations and 59968584 unique ideals
Sat Jan 21 21:07:20 2023  reduce to 71025768 relations and 53289396 ideals in 8 passes
Sat Jan 21 21:07:20 2023  max relations containing the same ideal: 194
Sat Jan 21 21:07:46 2023  removing 6386233 relations and 4386233 ideals in 2000000 cliques
Sat Jan 21 21:07:50 2023  commencing in-memory singleton removal
Sat Jan 21 21:07:56 2023  begin with 64639535 relations and 53289396 unique ideals
Sat Jan 21 21:08:07 2023  reduce to 64209280 relations and 48461036 ideals in 7 passes
Sat Jan 21 21:08:07 2023  max relations containing the same ideal: 187
Sat Jan 21 21:08:30 2023  removing 5947672 relations and 3947672 ideals in 2000000 cliques
Sat Jan 21 21:08:33 2023  commencing in-memory singleton removal
Sat Jan 21 21:08:39 2023  begin with 58261608 relations and 48461036 unique ideals
Sat Jan 21 21:08:50 2023  reduce to 57880736 relations and 44121583 ideals in 8 passes
Sat Jan 21 21:08:50 2023  max relations containing the same ideal: 173
Sat Jan 21 21:09:11 2023  removing 5720550 relations and 3720550 ideals in 2000000 cliques
Sat Jan 21 21:09:14 2023  commencing in-memory singleton removal
Sat Jan 21 21:09:19 2023  begin with 52160186 relations and 44121583 unique ideals
Sat Jan 21 21:09:27 2023  reduce to 51794286 relations and 40024141 ideals in 6 passes
Sat Jan 21 21:09:27 2023  max relations containing the same ideal: 162
Sat Jan 21 21:09:46 2023  removing 5578355 relations and 3578355 ideals in 2000000 cliques
Sat Jan 21 21:09:48 2023  commencing in-memory singleton removal
Sat Jan 21 21:09:53 2023  begin with 46215931 relations and 40024141 unique ideals
Sat Jan 21 21:10:00 2023  reduce to 45850212 relations and 36068011 ideals in 7 passes
Sat Jan 21 21:10:00 2023  max relations containing the same ideal: 149
Sat Jan 21 21:10:18 2023  removing 5481894 relations and 3481894 ideals in 2000000 cliques
Sat Jan 21 21:10:20 2023  commencing in-memory singleton removal
Sat Jan 21 21:10:23 2023  begin with 40368318 relations and 36068011 unique ideals
Sat Jan 21 21:10:29 2023  reduce to 39989982 relations and 32194037 ideals in 7 passes
Sat Jan 21 21:10:29 2023  max relations containing the same ideal: 135
Sat Jan 21 21:10:44 2023  removing 5411909 relations and 3411909 ideals in 2000000 cliques
Sat Jan 21 21:10:46 2023  commencing in-memory singleton removal
Sat Jan 21 21:10:48 2023  begin with 34578073 relations and 32194037 unique ideals
Sat Jan 21 21:10:54 2023  reduce to 34172310 relations and 28359822 ideals in 7 passes
Sat Jan 21 21:10:54 2023  max relations containing the same ideal: 125
Sat Jan 21 21:11:06 2023  removing 5359577 relations and 3359577 ideals in 2000000 cliques
Sat Jan 21 21:11:09 2023  commencing in-memory singleton removal
Sat Jan 21 21:11:11 2023  begin with 28812733 relations and 28359822 unique ideals
Sat Jan 21 21:11:17 2023  reduce to 28357041 relations and 24522892 ideals in 8 passes
Sat Jan 21 21:11:17 2023  max relations containing the same ideal: 106
Sat Jan 21 21:11:27 2023  removing 5323040 relations and 3323040 ideals in 2000000 cliques
Sat Jan 21 21:11:29 2023  commencing in-memory singleton removal
Sat Jan 21 21:11:31 2023  begin with 23034001 relations and 24522892 unique ideals
Sat Jan 21 21:11:35 2023  reduce to 22488220 relations and 20622630 ideals in 7 passes
Sat Jan 21 21:11:35 2023  max relations containing the same ideal: 94
Sat Jan 21 21:11:44 2023  removing 3871001 relations and 2498211 ideals in 1372790 cliques
Sat Jan 21 21:11:45 2023  commencing in-memory singleton removal
Sat Jan 21 21:11:47 2023  begin with 18617219 relations and 20622630 unique ideals
Sat Jan 21 21:11:50 2023  reduce to 18182468 relations and 17666672 ideals in 8 passes
Sat Jan 21 21:11:50 2023  max relations containing the same ideal: 82
Sat Jan 21 21:11:58 2023  removing 130166 relations and 107170 ideals in 22996 cliques
Sat Jan 21 21:11:59 2023  commencing in-memory singleton removal
Sat Jan 21 21:12:00 2023  begin with 18052302 relations and 17666672 unique ideals
Sat Jan 21 21:12:02 2023  reduce to 18051612 relations and 17558811 ideals in 5 passes
Sat Jan 21 21:12:02 2023  max relations containing the same ideal: 82
Sat Jan 21 21:12:05 2023  relations with 0 large ideals: 1484
Sat Jan 21 21:12:05 2023  relations with 1 large ideals: 6053
Sat Jan 21 21:12:05 2023  relations with 2 large ideals: 89016
Sat Jan 21 21:12:05 2023  relations with 3 large ideals: 573566
Sat Jan 21 21:12:05 2023  relations with 4 large ideals: 1954209
Sat Jan 21 21:12:05 2023  relations with 5 large ideals: 3930764
Sat Jan 21 21:12:05 2023  relations with 6 large ideals: 4953207
Sat Jan 21 21:12:05 2023  relations with 7+ large ideals: 6543313
Sat Jan 21 21:12:05 2023  commencing 2-way merge
Sat Jan 21 21:12:15 2023  reduce to 12566468 relation sets and 12073667 unique ideals
Sat Jan 21 21:12:15 2023  commencing full merge
Sat Jan 21 21:16:47 2023  memory use: 1507.4 MB
Sat Jan 21 21:16:48 2023  found 5469716 cycles, need 5453867
Sat Jan 21 21:16:50 2023  weight of 5453867 cycles is about 709321825 (130.06/cycle)
Sat Jan 21 21:16:50 2023  distribution of cycle lengths:
Sat Jan 21 21:16:50 2023  1 relations: 101215
Sat Jan 21 21:16:50 2023  2 relations: 250779
Sat Jan 21 21:16:50 2023  3 relations: 338837
Sat Jan 21 21:16:50 2023  4 relations: 379010
Sat Jan 21 21:16:50 2023  5 relations: 413899
Sat Jan 21 21:16:50 2023  6 relations: 422562
Sat Jan 21 21:16:50 2023  7 relations: 422343
Sat Jan 21 21:16:50 2023  8 relations: 407791
Sat Jan 21 21:16:50 2023  9 relations: 383054
Sat Jan 21 21:16:50 2023  10+ relations: 2334377
Sat Jan 21 21:16:50 2023  heaviest cycle: 28 relations
Sat Jan 21 21:16:52 2023  commencing cycle optimization
Sat Jan 21 21:17:03 2023  start with 51183436 relations
Sat Jan 21 21:19:09 2023  pruned 2969649 relations
Sat Jan 21 21:19:09 2023  memory use: 1277.8 MB
Sat Jan 21 21:19:09 2023  distribution of cycle lengths:
Sat Jan 21 21:19:09 2023  1 relations: 101215
Sat Jan 21 21:19:09 2023  2 relations: 259403
Sat Jan 21 21:19:09 2023  3 relations: 356660
Sat Jan 21 21:19:09 2023  4 relations: 400531
Sat Jan 21 21:19:09 2023  5 relations: 441558
Sat Jan 21 21:19:09 2023  6 relations: 451207
Sat Jan 21 21:19:09 2023  7 relations: 453350
Sat Jan 21 21:19:09 2023  8 relations: 434577
Sat Jan 21 21:19:09 2023  9 relations: 407032
Sat Jan 21 21:19:09 2023  10+ relations: 2148334
Sat Jan 21 21:19:09 2023  heaviest cycle: 28 relations
Sat Jan 21 21:19:21 2023  RelProcTime: 2391
Sat Jan 21 21:19:21 2023  elapsed time 00:39:52
Sat Jan 21 21:38:56 2023  
Sat Jan 21 21:38:56 2023  
Sat Jan 21 21:38:56 2023  Msieve v. 1.54 (SVN unknown)
Sat Jan 21 21:38:56 2023  random seeds: 83d3fdfd afe85ae2
Sat Jan 21 21:38:56 2023  factoring 57355549367268641264513085376500545553810491270788864648363221547874277448525714985269043112065419080850602798303653540251828425636819790519695421489775839193301557 (164 digits)
Sat Jan 21 21:38:57 2023  searching for 15-digit factors
Sat Jan 21 21:38:57 2023  commencing number field sieve (164-digit input)
Sat Jan 21 21:38:57 2023  R0: -53974505724646429463083029679193
Sat Jan 21 21:38:57 2023  R1: 13711108548803531
Sat Jan 21 21:38:57 2023  A0: 12039559758933796799000021156865917209200
Sat Jan 21 21:38:57 2023  A1: 16162147875421718480823795302980350
Sat Jan 21 21:38:57 2023  A2: 1968938372277627071006296205
Sat Jan 21 21:38:57 2023  A3: -141574517523411145360
Sat Jan 21 21:38:57 2023  A4: -4804324810152
Sat Jan 21 21:38:57 2023  A5: 125208
Sat Jan 21 21:38:57 2023  skew 17840250.17, size 5.953e-16, alpha -7.774, combined = 8.330e-13 rroots = 5
Sat Jan 21 21:38:57 2023  
Sat Jan 21 21:38:57 2023  commencing linear algebra
Sat Jan 21 21:38:57 2023  using VBITS=256
Sat Jan 21 21:38:58 2023  read 5453867 cycles
Sat Jan 21 21:39:11 2023  cycles contain 17826507 unique relations
Sat Jan 21 21:41:14 2023  read 17826507 relations
Sat Jan 21 21:41:18 2023  using 20 quadratic characters above 4294917295
Sat Jan 21 21:41:31 2023  building initial matrix
Sat Jan 21 21:45:45 2023  memory use: 2533.9 MB
Sat Jan 21 21:45:49 2023  read 5453867 cycles
Sat Jan 21 21:45:50 2023  matrix is 5453688 x 5453867 (2731.4 MB) with weight 837858577 (153.63/col)
Sat Jan 21 21:45:50 2023  sparse part has weight 650561767 (119.28/col)
Sat Jan 21 21:46:58 2023  filtering completed in 2 passes
Sat Jan 21 21:46:59 2023  matrix is 5453644 x 5453823 (2731.3 MB) with weight 837855859 (153.63/col)
Sat Jan 21 21:46:59 2023  sparse part has weight 650560557 (119.29/col)
Sat Jan 21 21:47:30 2023  matrix starts at (0, 0)
Sat Jan 21 21:47:31 2023  matrix is 5453644 x 5453823 (2731.3 MB) with weight 837855859 (153.63/col)
Sat Jan 21 21:47:31 2023  sparse part has weight 650560557 (119.29/col)
Sat Jan 21 21:47:31 2023  saving the first 240 matrix rows for later
Sat Jan 21 21:47:33 2023  matrix includes 256 packed rows
Sat Jan 21 21:47:35 2023  matrix is 5453404 x 5453823 (2444.6 MB) with weight 594754607 (109.05/col)
Sat Jan 21 21:47:35 2023  sparse part has weight 553586399 (101.50/col)
Sat Jan 21 21:47:35 2023  using block size 8192 and superblock size 878592 for processor cache size 36608 kB
Sat Jan 21 21:47:48 2023  commencing Lanczos iteration (8 threads)
Sat Jan 21 21:47:48 2023  memory use: 3284.6 MB
Sat Jan 21 21:52:05 2023  linear algebra at 0.6%, ETA 12h32m
Sat Jan 21 21:58:29 2023  checking every 10000 dimensions, checkpointing every 440000 dimensions
Sun Jan 22 10:07:50 2023  lanczos halted after 21368 iterations (dim = 5453404)
Sun Jan 22 10:08:10 2023  recovered 31 nontrivial dependencies
Sun Jan 22 10:08:10 2023  BLanczosTime: 44953
Sun Jan 22 10:08:10 2023  
Sun Jan 22 10:08:10 2023  commencing square root phase
Sun Jan 22 10:08:10 2023  reading relations for dependency 1
Sun Jan 22 10:08:11 2023  read 2726596 cycles
Sun Jan 22 10:08:17 2023  cycles contain 8915262 unique relations
Sun Jan 22 10:10:12 2023  read 8915262 relations
Sun Jan 22 10:10:50 2023  multiplying 8915262 relations
Sun Jan 22 10:14:50 2023  multiply complete, coefficients have about 484.29 million bits
Sun Jan 22 10:14:52 2023  initial square root is modulo 489414361
Sun Jan 22 10:19:24 2023  GCD is 1, no factor found
Sun Jan 22 10:19:24 2023  reading relations for dependency 2
Sun Jan 22 10:19:25 2023  read 2727992 cycles
Sun Jan 22 10:19:30 2023  cycles contain 8913616 unique relations
Sun Jan 22 10:21:43 2023  read 8913616 relations
Sun Jan 22 10:22:21 2023  multiplying 8913616 relations
Sun Jan 22 10:28:42 2023  multiply complete, coefficients have about 484.19 million bits
Sun Jan 22 10:28:44 2023  initial square root is modulo 487512959
Sun Jan 22 10:33:10 2023  GCD is N, no factor found
Sun Jan 22 10:33:10 2023  reading relations for dependency 3
Sun Jan 22 10:33:11 2023  read 2726739 cycles
Sun Jan 22 10:33:18 2023  cycles contain 8913804 unique relations
Sun Jan 22 10:35:32 2023  read 8913804 relations
Sun Jan 22 10:36:14 2023  multiplying 8913804 relations
Sun Jan 22 10:42:35 2023  multiply complete, coefficients have about 484.21 million bits
Sun Jan 22 10:42:37 2023  initial square root is modulo 487741649
Sun Jan 22 10:47:04 2023  GCD is N, no factor found
Sun Jan 22 10:47:04 2023  reading relations for dependency 4
Sun Jan 22 10:47:05 2023  read 2726370 cycles
Sun Jan 22 10:47:10 2023  cycles contain 8911360 unique relations
Sun Jan 22 10:49:21 2023  read 8911360 relations
Sun Jan 22 10:50:01 2023  multiplying 8911360 relations
Sun Jan 22 10:56:15 2023  multiply complete, coefficients have about 484.07 million bits
Sun Jan 22 10:56:16 2023  initial square root is modulo 484990393
Sun Jan 22 11:00:35 2023  sqrtTime: 3145
Sun Jan 22 11:00:35 2023  p78 factor: 120893078226375561544655622892119991256379813832859914986813894806803660790521
Sun Jan 22 11:00:35 2023  p87 factor: 474432037042425393985412294300979445054532965356662375902761927480803291812694762738717
Sun Jan 22 11:00:35 2023  elapsed time 13:21:39

2730293079373023095371500121186117957595567174945292761669439950181601933918256278306137774746015800474870388852231528556626775730256160646019189628450395617204486463101897636616314118583290688787065610877398055413391<217>

775645579818721885724678651527266408337<39>

3520026608043233974306323358273321631656201341121190430023625098893821101955990770087871048209661829919159377797703870626122514056337426298141313967257060332691143847326115187743<178>

Resuming ECM residue saved by @99a95a4cac45 with GMP-ECM 7.0.5-dev on Thu Aug 18 13:36:12 2022 
Input number is 2730293079373023095371500121186117957595567174945292761669439950181601933918256278306137774746015800474870388852231528556626775730256160646019189628450395617204486463101897636616314118583290688787065610877398055413391 (217 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1450283658
Step 1 took 0ms
Step 2 took 12753ms
********** Factor found in step 2: 775645579818721885724678651527266408337
Found prime factor of 39 digits: 775645579818721885724678651527266408337
Composite cofactor 3520026608043233974306323358273321631656201341121190430023625098893821101955990770087871048209661829919159377797703870626122514056337426298141313967257060332691143847326115187743 has 178 digits

20850724086419221422514215285878346161376375488263192970071525512550884955447262861093751742272848723931892035794667953361428671936369822244241123437922445926972890253581279602272167164846892233198182697<203>

8405070161302332618706077919561073007530593437864381256889726697042613464394372370086587025177405125849527461042207092038602662818611507157379937464481629104087388630006012955642700237310927818179198992379318257236693<217>

1013825317487860863700323131952717602377717<43>
8290452029871478866360644582195561885546938466827027085353708515261802838537176149499080692857635570983249702209802116119284151533843694470648765381731887623223731571398693729<175>

Resuming ECM residue saved by @0e438b3ebd31 with GMP-ECM 7.0.5-dev on Sat Sep 10 21:54:38 2022 
Input number is 8405070161302332618706077919561073007530593437864381256889726697042613464394372370086587025177405125849527461042207092038602662818611507157379937464481629104087388630006012955642700237310927818179198992379318257236693 (217 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1021167920
Step 1 took 0ms
Step 2 took 18050ms
********** Factor found in step 2: 1013825317487860863700323131952717602377717
Found prime factor of 43 digits: 1013825317487860863700323131952717602377717
Prime cofactor 8290452029871478866360644582195561885546938466827027085353708515261802838537176149499080692857635570983249702209802116119284151533843694470648765381731887623223731571398693729 has 175 digits

11507267062340143739664747892626382583275327003660152543769387745185942498030657084446524086888362105051131746125515497333086330218868167749450315406487794532083555718054505877989827825401689004424659610805924670716631506489<224>

24531390273335405876005719824224538509878122588781679269020935931520595009778470947225352202117528503802245217795184450752295883712521827234557245346321497456048663407199885505291743279711682471500389562216420854407833109972573165494743517<239>

179886963600948608452656166322239157619084793558383766180711198012518204914562174306787448454451860541237217836550558492794005086774592624946641153265638438572619891749546749819203399749275995291195150922410274453<213>

642509336791571152133121414505721898651312645765123507015757530553052315254511641842981069935333753702421020812048446206658306835452977244270733241025560728155206019708834499370738341864313513951358838454173638317981021<219>

8710222019147117100512991735620582497003936757164665469887496575018619589730185429583271368825988266508813033081215869838265660560115459442279043796958091086335602953467194363791644658868182793803479565020470111227440224728828399872665097<238>

15778572169874671052133982988840169502049972056203912154552128019398595704520752462756663365068287980722210093154902378713211091568828785839796152473217194013664060152102851187470403471453256466005661979997294836382906969071598468432885101603653241720835297799097948590863<272>

169832242795024938562433469333891443376092951538786157104827296221640820182963672869565569909735187299804910712792874187770218893001762354121111695420244209063398631891610088578338368869078761632968481<201>

1991661778023609818067378061530707003112639200099739069227678622614725575082038734306524906428183517287716489032483244953389473107161328888927329296649941871077190605341115520923683563919492770165215851915120934445883151681810510792252347423063483<247>

214904624070333022682468524731052089522026424208576535612103506836555695944410940016701505367926557631258893086629413759805885094846404713805952312867937698634888968644115332009168668749797231138417951237033871396011455578528832343719693392277<243>

230273618530997305744165536916657436209619<42>

933257684667879351071760913811364907896752222568385166238623826502948625139057208347575870176299849740326807033394551950810879583564251369355769493015413583224013460843803759266470952987299521648328183<201>

Resuming ECM residue saved by @0e438b3ebd31 with GMP-ECM 7.0.5-dev on Sun Sep 11 06:50:25 2022 
Input number is 214904624070333022682468524731052089522026424208576535612103506836555695944410940016701505367926557631258893086629413759805885094846404713805952312867937698634888968644115332009168668749797231138417951237033871396011455578528832343719693392277 (243 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2897227672
Step 1 took 0ms
Step 2 took 21211ms
********** Factor found in step 2: 230273618530997305744165536916657436209619
Found prime factor of 42 digits: 230273618530997305744165536916657436209619
Composite cofactor 933257684667879351071760913811364907896752222568385166238623826502948625139057208347575870176299849740326807033394551950810879583564251369355769493015413583224013460843803759266470952987299521648328183 has 201 digits

4130108471877544375923537455767725827256232223274905962878844202550807577598657045840879866345741796752226812894495103431674745515534477317170093318421341940253917844439073855414973396488685646959714408704336306519169586510671361658350980280429484195691028805713839291592608256961<280>

1903312701878139068907365593789852472374519<43>
2169957920105330894019016250964897703953488955190673950721149148122672823976738190623298541001872431291795186643511851202559837238365199969550801100640674961259023631850885607204730785211172596355922334912047524041098130149667221587846919<238>

Resuming ECM residue saved by @6c627acaf82c with GMP-ECM 7.0.5-dev on Wed Aug  3 02:26:33 2022 
Input number is 4130108471877544375923537455767725827256232223274905962878844202550807577598657045840879866345741796752226812894495103431674745515534477317170093318421341940253917844439073855414973396488685646959714408704336306519169586510671361658350980280429484195691028805713839291592608256961 (280 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3097665785
Step 1 took 0ms
Step 2 took 22078ms
********** Factor found in step 2: 1903312701878139068907365593789852472374519
Found prime factor of 43 digits: 1903312701878139068907365593789852472374519
Prime cofactor 2169957920105330894019016250964897703953488955190673950721149148122672823976738190623298541001872431291795186643511851202559837238365199969550801100640674961259023631850885607204730785211172596355922334912047524041098130149667221587846919 has 238 digits

1808062742672835145164727041164918572400243244320302788969259269305701848514226087238520585167086996599079669069972569589381674760694785948794548422189350108766515449506639636868783147101<187>

26678001356276251841338857198862681600432468896450472079924073808015758326592101518851822064375888244368637152281372156816876177248133267798865075681269360752149848048601206147507982913180508479324876191225216667171055615699526062814187985192564309419<251>

12214822276836442552965680796337967196989598227899516318999961255310005804834480382045186304171096155567747263668311140018783129766009026785396273527931263936171702407305213307434019703815350951035058894525211876480088461565702824440097407830324492929150417129340616451053<272>

156708734207188714002773493078302321110761042982207487154503161961990411280949023245288537336027302865601365954825875930136334376187175463427737663637226906422057749614669922302389011197694705594311522781206283677100162519610140485403457410502949932038926553210085007251<270>

619181415387086252988398674111580602177232560154117235133201919587064806639640562281677606585679431850915584521639244993212586697035994738495551954872242477650637638585248092547683398063240869874064636081067854658767522901757601873829739827826727806578742146838963339775660014986919974317<288>

182522650981060262442878292066134735169377273<45>

3392353836956578854211640403970248735068672278806278699795918178460802046586524038615723275911726638798580782716385909452124092858782394999866706800012913549007811970497599367358100689325145906834787925362274199597475636914013509989754439455829<244>

GPU: factor 182522650981060262442878292066134735169377273 found in Step 1 with curve 24 (-sigma 3:-1681179556)
Computing 1792 Step 1 took 4312ms of CPU time / 3810842ms of GPU time
Throughput: 0.470 curves per second (on average 2126.59ms per Step 1)
********** Factor found in step 1: 182522650981060262442878292066134735169377273
Found prime factor of 45 digits: 182522650981060262442878292066134735169377273
Composite cofactor 3392353836956578854211640403970248735068672278806278699795918178460802046586524038615723275911726638798580782716385909452124092858782394999866706800012913549007811970497599367358100689325145906834787925362274199597475636914013509989754439455829 has 244 digits
Peak memory usage: 9460MB