21828898346695908520663459398600737971958706205423116168092510073503667619257502178360065366936677320677<104>

443453419237683004198275247710932261402459027037971<51>
49224783031825072496849984859130472969291570757813287<53>

N=21828898346695908520663459398600737971958706205423116168092510073503667619257502178360065366936677320677
  ( 104 digits)
SNFS difficulty: 129 digits.
Divisors found:
p51 factor: 443453419237683004198275247710932261402459027037971
p53 factor: 49224783031825072496849984859130472969291570757813287
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.77 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 21828898346695908520663459398600737971958706205423116168092510073503667619257502178360065366936677320677
m: 100000000000000000000000000000000
deg: 4
c4: 40
c2: -9
c0: -4
skew: 0.56
# Murphy_E = 1.855e-08
type: snfs
lss: 1
rlim: 1010000
alim: 1010000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1010000/1010000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [505000, 905001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 105692 x 105920
Total sieving time: 1.73 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1010000,1010000,26,26,47,47,2.3,2.3,100000
total time: 1.77 hours.
 --------- CPU info (if available) ----------

123456790123456790123456790123456790123456790123456790123456790123429012345679012345679012345679012345679012345679012345679012345679<132>

4532738007943223111290067251615059789160970939<46>
27236692239240314982606165767749705477016802254304654815996911627602943852060799745661<86>

Thu May 19 19:01:48 2022  Msieve v. 1.53 (SVN unknown)
Thu May 19 19:01:48 2022  random seeds: b47312b4 6b8d3ed3
Thu May 19 19:01:48 2022  factoring 123456790123456790123456790123456790123456790123456790123456790123429012345679012345679012345679012345679012345679012345679012345679 (132 digits)
Thu May 19 19:01:48 2022  searching for 15-digit factors
Thu May 19 19:01:48 2022  commencing number field sieve (132-digit input)
Thu May 19 19:01:48 2022  R0: -1000000000000000000000000000000000
Thu May 19 19:01:48 2022  R1: 1
Thu May 19 19:01:48 2022  A0: -4
Thu May 19 19:01:48 2022  A1: 0
Thu May 19 19:01:48 2022  A2: -9
Thu May 19 19:01:48 2022  A3: 0
Thu May 19 19:01:48 2022  A4: 40
Thu May 19 19:01:48 2022  skew 0.56, size 1.130e-13, alpha -0.290, combined = 1.182e-08 rroots = 2
Thu May 19 19:01:48 2022  
Thu May 19 19:01:48 2022  commencing square root phase
Thu May 19 19:01:48 2022  reading relations for dependency 1
Thu May 19 19:01:48 2022  read 67092 cycles
Thu May 19 19:01:48 2022  cycles contain 198332 unique relations
Thu May 19 19:01:50 2022  read 198332 relations
Thu May 19 19:01:50 2022  multiplying 198332 relations
Thu May 19 19:01:52 2022  multiply complete, coefficients have about 4.91 million bits
Thu May 19 19:01:52 2022  initial square root is modulo 442501
Thu May 19 19:01:54 2022  sqrtTime: 6
Thu May 19 19:01:54 2022  p46 factor: 4532738007943223111290067251615059789160970939
Thu May 19 19:01:54 2022  p86 factor: 27236692239240314982606165767749705477016802254304654815996911627602943852060799745661
Thu May 19 19:01:54 2022  elapsed time 00:00:06
Thu May 19 19:01:54 2022 -> Computing time scale for this machine...
Thu May 19 19:01:54 2022 -> procrels -speedtest> PIPE

52840468791792497727647109888670252555507316307073261354342997204189466585340512839312673196605215410357257206451081721046389<125>

91078094628824228289226859250643064259415847179261523<53>
580166603255549914739035750305816281425637848287894574858024407567928343<72>

Sat May 21 20:00:13 2022  Msieve v. 1.53 (SVN unknown)
Sat May 21 20:00:13 2022  random seeds: c90bf160 bcdc1e66
Sat May 21 20:00:13 2022  factoring 52840468791792497727647109888670252555507316307073261354342997204189466585340512839312673196605215410357257206451081721046389 (125 digits)
Sat May 21 20:00:13 2022  searching for 15-digit factors
Sat May 21 20:00:13 2022  commencing number field sieve (125-digit input)
Sat May 21 20:00:13 2022  R0: -500000000000000000000000000000000000
Sat May 21 20:00:13 2022  R1: 1
Sat May 21 20:00:13 2022  A0: -10
Sat May 21 20:00:13 2022  A1: 0
Sat May 21 20:00:13 2022  A2: -9
Sat May 21 20:00:13 2022  A3: 0
Sat May 21 20:00:13 2022  A4: 16
Sat May 21 20:00:13 2022  skew 0.89, size 8.683e-15, alpha 0.139, combined = 3.338e-09 rroots = 2
Sat May 21 20:00:13 2022  
Sat May 21 20:00:13 2022  commencing square root phase
Sat May 21 20:00:13 2022  reading relations for dependency 1
Sat May 21 20:00:13 2022  read 101218 cycles
Sat May 21 20:00:14 2022  cycles contain 306254 unique relations
Sat May 21 20:00:16 2022  read 306254 relations
Sat May 21 20:00:17 2022  multiplying 306254 relations
Sat May 21 20:00:20 2022  multiply complete, coefficients have about 7.64 million bits
Sat May 21 20:00:20 2022  initial square root is modulo 609434429
Sat May 21 20:00:23 2022  GCD is N, no factor found
Sat May 21 20:00:23 2022  reading relations for dependency 2
Sat May 21 20:00:23 2022  read 100907 cycles
Sat May 21 20:00:23 2022  cycles contain 306210 unique relations
Sat May 21 20:00:26 2022  read 306210 relations
Sat May 21 20:00:27 2022  multiplying 306210 relations
Sat May 21 20:00:29 2022  multiply complete, coefficients have about 7.64 million bits
Sat May 21 20:00:29 2022  initial square root is modulo 607739497
Sat May 21 20:00:32 2022  GCD is N, no factor found
Sat May 21 20:00:32 2022  reading relations for dependency 3
Sat May 21 20:00:32 2022  read 101348 cycles
Sat May 21 20:00:32 2022  cycles contain 307100 unique relations
Sat May 21 20:00:35 2022  read 307100 relations
Sat May 21 20:00:36 2022  multiplying 307100 relations
Sat May 21 20:00:38 2022  multiply complete, coefficients have about 7.66 million bits
Sat May 21 20:00:38 2022  initial square root is modulo 645195151
Sat May 21 20:00:41 2022  sqrtTime: 28
Sat May 21 20:00:41 2022  p53 factor: 91078094628824228289226859250643064259415847179261523
Sat May 21 20:00:41 2022  p72 factor: 580166603255549914739035750305816281425637848287894574858024407567928343
Sat May 21 20:00:41 2022  elapsed time 00:00:28
Sat May 21 20:00:41 2022 -> Computing time scale for this machine...
Sat May 21 20:00:41 2022 -> procrels -speedtest> PIPE

7420194258254532126900731450790557060866295400592201764671749025553223572676119293314286110445361799598237547170282502958452077<127>

135593389901063571288482217675221215913525070212925438301981<60>
54723864221321672230868345804294486254563132963919389643121763446417<68>

Tue May 24 07:29:19 2022  Msieve v. 1.53 (SVN unknown)
Tue May 24 07:29:19 2022  random seeds: 58508da4 1bffe260
Tue May 24 07:29:19 2022  factoring 7420194258254532126900731450790557060866295400592201764671749025553223572676119293314286110445361799598237547170282502958452077 (127 digits)
Tue May 24 07:29:20 2022  searching for 15-digit factors
Tue May 24 07:29:20 2022  commencing number field sieve (127-digit input)
Tue May 24 07:29:20 2022  R0: -1000000000000000000000000000000000000
Tue May 24 07:29:20 2022  R1: 1
Tue May 24 07:29:20 2022  A0: -4
Tue May 24 07:29:20 2022  A1: 0
Tue May 24 07:29:20 2022  A2: -9
Tue May 24 07:29:20 2022  A3: 0
Tue May 24 07:29:20 2022  A4: 40
Tue May 24 07:29:20 2022  skew 0.56, size 7.130e-15, alpha -0.290, combined = 2.974e-09 rroots = 2
Tue May 24 07:29:20 2022  
Tue May 24 07:29:20 2022  commencing square root phase
Tue May 24 07:29:20 2022  reading relations for dependency 1
Tue May 24 07:29:20 2022  read 124408 cycles
Tue May 24 07:29:21 2022  cycles contain 408840 unique relations
Tue May 24 07:29:24 2022  read 408840 relations
Tue May 24 07:29:25 2022  multiplying 408840 relations
Tue May 24 07:29:30 2022  multiply complete, coefficients have about 10.63 million bits
Tue May 24 07:29:30 2022  initial square root is modulo 1288919
Tue May 24 07:29:37 2022  GCD is N, no factor found
Tue May 24 07:29:37 2022  reading relations for dependency 2
Tue May 24 07:29:37 2022  read 124628 cycles
Tue May 24 07:29:37 2022  cycles contain 408882 unique relations
Tue May 24 07:29:41 2022  read 408882 relations
Tue May 24 07:29:42 2022  multiplying 408882 relations
Tue May 24 07:29:47 2022  multiply complete, coefficients have about 10.63 million bits
Tue May 24 07:29:47 2022  initial square root is modulo 1290901
Tue May 24 07:29:53 2022  sqrtTime: 33
Tue May 24 07:29:53 2022  p60 factor: 135593389901063571288482217675221215913525070212925438301981
Tue May 24 07:29:53 2022  p68 factor: 54723864221321672230868345804294486254563132963919389643121763446417
Tue May 24 07:29:53 2022  elapsed time 00:00:34

2271618581442615042611980042224280152813458241733353647558812179747767382225222542201678486691135578279<103>

425980951406519533751997391867210457<36>
5332676435277449541382726661479129735541316287448927935969582872447<67>

N=2271618581442615042611980042224280152813458241733353647558812179747767382225222542201678486691135578279
  ( 103 digits)
Divisors found:
p36 factor: 425980951406519533751997391867210457
p67 factor: 5332676435277449541382726661479129735541316287448927935969582872447
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 4.18 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2271618581442615042611980042224280152813458241733353647558812179747767382225222542201678486691135578279
skew: 1536557.45
c0: 13257018430402447310343153552
c1: 20733750802103002430398
c2: -25611444618800129
c3: -6594157854
c4: 8400
Y0: -4055223078796480565362807
Y1: 34171708467973
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221169 x 221395
Total sieving time: 4.11 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 4.18 hours.
 --------- CPU info (if available) ----------

370370370370370370370370370370370370370370370370370370370370370370370370370370287037037037037037037037037037037037037037037037037037037037037037037037037037<156>

597764638010994050271145286414546159302861<42>
619592305765598903515548128723721666724007033462738643091451936134961963024249321374026341583075383165298658304417<114>

Number: n
N=370370370370370370370370370370370370370370370370370370370370370370370370370370287037037037037037037037037037037037037037037037037037037037037037037037037037  ( 156 digits)
SNFS difficulty: 157 digits.
Divisors found:

Thu May 19 10:26:05 2022  p42 factor: 597764638010994050271145286414546159302861
Thu May 19 10:26:05 2022  p114 factor: 619592305765598903515548128723721666724007033462738643091451936134961963024249321374026341583075383165298658304417
Thu May 19 10:26:05 2022  elapsed time 00:07:16 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 4x10^157-9x10^78-4 = 4(78)34(78)
#
n: 370370370370370370370370370370370370370370370370370370370370370370370370370370287037037037037037037037037037037037037037037037037037037037037037037037037037
m: 1000000000000000000000000000000000000000
deg: 4
c4: 40
c2: -9
c0: -4
skew: 0.56
# Murphy_E = 7.191e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2327387 hash collisions in 16128804 relations (15191699 unique)
Msieve: matrix is 422427 x 422655 (141.3 MB)

Sieving start time : 2022/05/19 09:39:21
Sieving end time  : 2022/05/19 10:18:29

Total sieving time: 0hrs 39min 8secs.

Total relation processing time: 0hrs 2min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 14sec.

Prototype def-par.txt line would be:
snfs,157,4,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    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)

18236334194158427916189077083113562413676007747560311422500087959013279265142053928328275447249971761838504991035544216937<122>

78047559962247671209996369699916835448242983893<47>
233656685782098914326308751188996022974248856085171798556717490031474858309<75>

18236334194158427916189077083113562413676007747560311422500087959013279265142053928328275447249971761838504991035544216937=78047559962247671209996369699916835448242983893*233656685782098914326308751188996022974248856085171798556717490031474858309

cado polynomial
n: 18236334194158427916189077083113562413676007747560311422500087959013279265142053928328275447249971761838504991035544216937
skew: 0.89
type: snfs
c0: -10
c2: -9
c4: 16
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 16*x^4-9*x^2-10
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3200000
tasks.lim1 = 3200000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 78047559962247671209996369699916835448242983893 233656685782098914326308751188996022974248856085171798556717490031474858309
Info:Square Root: Total cpu/real time for sqrt: 79.79/61.9008
Info:Quadratic Characters: Total cpu/real time for characters: 15.13/12.3799
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 114.41/251.376
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 237.2s
Info:Square Root: Total cpu/real time for sqrt: 79.79/61.9008
Info:Linear Algebra: Total cpu/real time for bwc: 3897.47/4508.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1986.54, WCT time 2641.27, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (14848 iterations)
Info:Linear Algebra: Lingen CPU time 746.28, WCT time 897.57
Info:Linear Algebra: Mksol: CPU time 1120.29,  WCT time 922.93, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 68.83/147.614
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11634966
Info:Lattice Sieving: Average J: 1896.52 for 611580 special-q, max bucket fill -bkmult 1.0,1s:1.324050
Info:Lattice Sieving: Total time: 161441s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.21/118.738
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 88.62/62.7274
Info:Filtering - Merging: Merged matrix has 472767 rows and total weight 80605317 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 110.98/125.522
Info:Filtering - Merging: Total cpu/real time for replay: 16.97/19.9339
Info:Generate Factor Base: Total cpu/real time for makefb: 2.02/2.70377
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 117292/86450.8
Info:root: Cleaning up computation data in /tmp/cado.v674zsjm
78047559962247671209996369699916835448242983893 233656685782098914326308751188996022974248856085171798556717490031474858309

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)

953636463727264401364954222841613276005161653631127905880799052267194956688650667194638578715143154370250904649977<114>

85854910007864088566264157380297717399811118963937489389<56>
11107535534542098502792546989703771645856496972282842831293<59>

953636463727264401364954222841613276005161653631127905880799052267194956688650667194638578715143154370250904649977=85854910007864088566264157380297717399811118963937489389*11107535534542098502792546989703771645856496972282842831293

cado polynomial
n: 953636463727264401364954222841613276005161653631127905880799052267194956688650667194638578715143154370250904649977
skew: 4937.079
c0: -303085453369583239732020
c1: -888217357770310780844
c2: -353154669407820295
c3: 103506466796113
c4: 6684859886
c5: 188640
Y0: -5830803512518350312659
Y1: 69875996410864417
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.183e-06
# f(x) = 188640*x^5+6684859886*x^4+103506466796113*x^3-353154669407820295*x^2-888217357770310780844*x-303085453369583239732020
# g(x) = 69875996410864417*x-5830803512518350312659

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: 85854910007864088566264157380297717399811118963937489389 11107535534542098502792546989703771645856496972282842831293
Info:Square Root: Total cpu/real time for sqrt: 141.88/42.9879
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 116.33/122.767
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 92.9s
Info:Square Root: Total cpu/real time for sqrt: 141.88/42.9879
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.15/101.351
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7030010
Info:Lattice Sieving: Average J: 1890.64 for 135033 special-q, max bucket fill -bkmult 1.0,1s:1.270770
Info:Lattice Sieving: Total time: 15372.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.05/1.08517
Info:Linear Algebra: Total cpu/real time for bwc: 2465.14/635.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1523.07, WCT time 389.87, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13568 iterations)
Info:Linear Algebra: Lingen CPU time 66.69, WCT time 17.0
Info:Linear Algebra: Mksol: CPU time 839.35,  WCT time 214.44, 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: 64.83/17.1611
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.38/31.4399
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 343.7
Info:Polynomial Selection (root optimized): Rootsieve time: 342.58
Info:Filtering - Merging: Merged matrix has 431378 rows and total weight 66880240 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.01/20.4074
Info:Filtering - Merging: Total cpu/real time for replay: 14.47/11.8247
Info:Quadratic Characters: Total cpu/real time for characters: 15.85/6.18624
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): 22079/33.160/40.635/53.320/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17262/32.110/35.969/41.050/0.837
Info:Polynomial Selection (size optimized): Total time: 1834.32
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 33360.8/9188.05
Info:root: Cleaning up computation data in /tmp/cado.s78z86qa
85854910007864088566264157380297717399811118963937489389 11107535534542098502792546989703771645856496972282842831293

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)

9920509995038573249760835320567111379833044840402646247781869537594228791313711424786435176669092378061763417866537778679656023687823943441949238423<148>

10958005405272263650414862572543058788817803<44>
606210786387385290171002368661380306537640595389<48>
1493409223010250997553502055856886621637013909411293039369<58>

Number: n
N=9920509995038573249760835320567111379833044840402646247781869537594228791313711424786435176669092378061763417866537778679656023687823943441949238423  ( 148 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sun May 22 02:46:47 2022  found factor: 1493409223010250997553502055856886621637013909411293039369
Sun May 22 02:47:10 2022  p44 factor: 10958005405272263650414862572543058788817803
Sun May 22 02:47:10 2022  p48 factor: 606210786387385290171002368661380306537640595389
Sun May 22 02:47:10 2022  p58 factor: 1493409223010250997553502055856886621637013909411293039369
Sun May 22 02:47:10 2022  elapsed time 00:09:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 4x10^167-9x10^83-4 = 4(83)34(83)
#
n: 9920509995038573249760835320567111379833044840402646247781869537594228791313711424786435176669092378061763417866537778679656023687823943441949238423
m: 500000000000000000000000000000000000000000
deg: 4
c4: 16
c2: -9
c0: -10
skew: 0.89
# Murphy_E = 1.899e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1586778 hash collisions in 14933419 relations (14836214 unique)
Msieve: matrix is 572801 x 573027 (195.6 MB)

Sieving start time : 2022/05/22 00:53:01
Sieving end time  : 2022/05/22 02:37:29

Total sieving time: 1hrs 44min 28secs.

Total relation processing time: 0hrs 4min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 46sec.

Prototype def-par.txt line would be:
snfs,168,4,0,0,0,0,0,0,0,0,4400000,4400000,27,27,52,52,2.4,2.4,100000
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)

7334224089671750314408208075719989505684470091204508934598986941055934808363367755100079609688632836286168099986382833798560019578553887194613<142>

18298654138984463660368470661288570267226744399441984997199482097<65>
400806749718631718666773917886892640378495340927761492823040165026811459375429<78>

7334224089671750314408208075719989505684470091204508934598986941055934808363367755100079609688632836286168099986382833798560019578553887194613=18298654138984463660368470661288570267226744399441984997199482097*400806749718631718666773917886892640378495340927761492823040165026811459375429

cado polynomial
n: 7334224089671750314408208075719989505684470091204508934598986941055934808363367755100079609688632836286168099986382833798560019578553887194613
skew: 0.56
type: snfs
c0: -4
c2: -9
c4: 40
Y0: 1000000000000000000000000000000000000000000
Y1: -1
# f(x) = 40*x^4-9*x^2-4
# g(x) = -x+1000000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4700000
tasks.lim1 = 4700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 400806749718631718666773917886892640378495340927761492823040165026811459375429 18298654138984463660368470661288570267226744399441984997199482097
Info:Square Root: Total cpu/real time for sqrt: 214.44/162.687
Info:Quadratic Characters: Total cpu/real time for characters: 36.46/30.1272
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 200.85/273.299
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 216.89999999999998s
Info:Square Root: Total cpu/real time for sqrt: 214.44/162.687
Info:Linear Algebra: Total cpu/real time for bwc: 18262.1/13578.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10860.35, WCT time 7909.47, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (32512 iterations)
Info:Linear Algebra: Lingen CPU time 1327.05, WCT time 1136.13
Info:Linear Algebra: Mksol: CPU time 5904.27,  WCT time 4396.87, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (16384 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 143.08/229.181
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12964009
Info:Lattice Sieving: Average J: 1897.27 for 1205673 special-q, max bucket fill -bkmult 1.0,1s:1.234470
Info:Lattice Sieving: Total time: 262406s
Info:Generate Free Relations: Total cpu/real time for freerel: 88.16/57.5342
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.72/74.5268
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 73.29999999999998s
Info:Filtering - Merging: Merged matrix has 1037412 rows and total weight 177020653 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 260.92/181.762
Info:Filtering - Merging: Total cpu/real time for replay: 43.06/47.0711
Info:Generate Factor Base: Total cpu/real time for makefb: 2.91/3.40482
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 266723/145896
Info:root: Cleaning up computation data in /tmp/cado.h3syu7zv
400806749718631718666773917886892640378495340927761492823040165026811459375429 18298654138984463660368470661288570267226744399441984997199482097

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)

1444718449233869822191773355767993669767317153040832219619117752492278685451676447578313892927586326101286400528324410824573<124>

31952110069517865460190217142426616052145281302405322999263867<62>
45215118691398198248460632489470702484737683572537825622153319<62>

31952110069517865460190217142426616052145281302405322999263867
45215118691398198248460632489470702484737683572537825622153319

c1: 270871941318471937317577 
c2: -13694246040412999243
c3: -527018892904493 
c4: 4730004150
c5: 19800
Y0: -756681760723256341150123
Y1: 2422529312287195487
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=1.007e+13) = 2.570e-06

CADO-NFS

AMD Epyc P7401P, 128 GB, Ubuntu

1017680691803482579280427213077551564015763005535261926178173973332237116957417597037462258322778276139010311706142489784959461<127>

354873991589458252360054428266651767027888164757<48>
2867724082132237618890242194670264493996651284376004136065856381468244007654673<79>

1017680691803482579280427213077551564015763005535261926178173973332237116957417597037462258322778276139010311706142489784959461=354873991589458252360054428266651767027888164757*2867724082132237618890242194670264493996651284376004136065856381468244007654673

cado polynomial
n: 1017680691803482579280427213077551564015763005535261926178173973332237116957417597037462258322778276139010311706142489784959461
skew: 0.32
type: snfs
c0: -2
c3: -45
c6: 2000
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 2000*x^6-45*x^3-2
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6300000
tasks.lim1 = 6300000
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: 354873991589458252360054428266651767027888164757 2867724082132237618890242194670264493996651284376004136065856381468244007654673
Info:Square Root: Total cpu/real time for sqrt: 419.81/123.655
Info:Filtering - Singleton removal: Total cpu/real time for purge: 138.82/135.535
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22427117
Info:Lattice Sieving: Average J: 1894.24 for 980633 special-q, max bucket fill -bkmult 1.0,1s:1.206920
Info:Lattice Sieving: Total time: 138565s
Info:Linear Algebra: Total cpu/real time for bwc: 12261.1/3154.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7737.86, WCT time 1981.6, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (27904 iterations)
Info:Linear Algebra: Lingen CPU time 156.15, WCT time 39.7
Info:Linear Algebra: Mksol: CPU time 4223.77,  WCT time 1080.33, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.96/102.874
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 230.45/192.807
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 176.60000000000002s
Info:Filtering - Merging: Merged matrix has 890280 rows and total weight 151929376 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 207.71/58.1544
Info:Filtering - Merging: Total cpu/real time for replay: 30.97/26.1673
Info:Generate Factor Base: Total cpu/real time for makefb: 5.45/2.63195
Info:Quadratic Characters: Total cpu/real time for characters: 29.45/11.7259
Info:Square Root: Total cpu/real time for sqrt: 419.81/123.655
Info:Generate Free Relations: Total cpu/real time for freerel: 237.36/61.0614
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 269808/73482.6
Info:root: Cleaning up computation data in /tmp/cado.anbs_ny1
354873991589458252360054428266651767027888164757 2867724082132237618890242194670264493996651284376004136065856381468244007654673

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)

595180313122118828026822591205152314269669758068500983971166181792448649039330915777706611886690371544106188825619194611860907<126>

559077619184856688929207610351705243828372716608843<51>
1064575459110490583849263795016023821762861082231170860192170388215539113249<76>

595180313122118828026822591205152314269669758068500983971166181792448649039330915777706611886690371544106188825619194611860907=559077619184856688929207610351705243828372716608843*1064575459110490583849263795016023821762861082231170860192170388215539113249

cado polynomial
n: 595180313122118828026822591205152314269669758068500983971166181792448649039330915777706611886690371544106188825619194611860907
skew: 7649.447
c0: -143775763470266936343965520
c1: 187486176628278835025601
c2: -9406455535861219594
c3: -7976929432278731
c4: 3933340740
c5: 18367200
Y0: -1143189449080828096552900
Y1: 3846479145217440769
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.357e-07
# f(x) = 18367200*x^5+3933340740*x^4-7976929432278731*x^3-9406455535861219594*x^2+187486176628278835025601*x-143775763470266936343965520
# g(x) = 3846479145217440769*x-1143189449080828096552900

cado parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53
tasks.sieve.ncurves0 = 14
tasks.sieve.ncurves1 = 16
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 559077619184856688929207610351705243828372716608843 1064575459110490583849263795016023821762861082231170860192170388215539113249
Info:Square Root: Total cpu/real time for sqrt: 1382.62/164.876
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5199.59
Info:Polynomial Selection (root optimized): Rootsieve time: 5195.15
Info:Generate Factor Base: Total cpu/real time for makefb: 10.26/1.16175
Info:Filtering - Merging: Merged matrix has 790407 rows and total weight 134688974 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 238.9/27.5443
Info:Filtering - Merging: Total cpu/real time for replay: 27.83/21.1481
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20265/37.800/44.827/48.780/0.844
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16180/36.680/40.203/45.610/1.005
Info:Polynomial Selection (size optimized): Total time: 3540.62
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 469.88/384.457
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 315.4s
Info:Quadratic Characters: Total cpu/real time for characters: 39.62/8.44739
Info:Square Root: Total cpu/real time for sqrt: 1382.62/164.876
Info:Linear Algebra: Total cpu/real time for bwc: 14078/2655.76
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8740.0, WCT time 1666.7, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 463.04, WCT time 41.14
Info:Linear Algebra: Mksol: CPU time 4751.41,  WCT time 913.2, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (12544 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 296.39/313.863
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12058053
Info:Lattice Sieving: Average J: 3782.35 for 228345 special-q, max bucket fill -bkmult 1.0,1s:1.179590
Info:Lattice Sieving: Total time: 187121s
Info:Generate Free Relations: Total cpu/real time for freerel: 207.9/18.8483
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 144.57/131.383
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 130.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 368783/35502.1
Info:root: Cleaning up computation data in /tmp/cado.eibzryze
559077619184856688929207610351705243828372716608843 1064575459110490583849263795016023821762861082231170860192170388215539113249

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)

512032770097286226318484383000512032770097286226318484383000512032770097286226318484383000500512032770097286226318484383000512032770097286226318484383000512032770097286226318484383<180>

101605262127206716058436647799126201566285293631<48>
5039431613849257924453289368689800303942059073865635200875164995811238672443985934130206727054350138595054924634934167804597062085793<133>

Number: n
N=512032770097286226318484383000512032770097286226318484383000512032770097286226318484383000500512032770097286226318484383000512032770097286226318484383000512032770097286226318484383  ( 180 digits)
SNFS difficulty: 183 digits.
Divisors found:

Fri May 27 09:42:58 2022  p48 factor: 101605262127206716058436647799126201566285293631
Fri May 27 09:42:58 2022  p133 factor: 5039431613849257924453289368689800303942059073865635200875164995811238672443985934130206727054350138595054924634934167804597062085793
Fri May 27 09:42:58 2022  elapsed time 00:25:51 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 4x10^183-9x10^91-4 = 4(91)34(91)
#
n: 512032770097286226318484383000512032770097286226318484383000512032770097286226318484383000500512032770097286226318484383000512032770097286226318484383000512032770097286226318484383
m: 1000000000000000000000000000000
deg: 6
c6: 2000
c3: -45
c0: -2
skew: 0.32
# Murphy_E = 4.585e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3637627 hash collisions in 28945808 relations (27399371 unique)
Msieve: matrix is 974129 x 974354 (333.4 MB)

Sieving start time : 2022/05/27 04:17:04
Sieving end time  : 2022/05/27 09:16:19

Total sieving time: 4hrs 59min 15secs.

Total relation processing time: 0hrs 14min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 7sec.

Prototype def-par.txt line would be:
snfs,183,6,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
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)

2386702040085890694193299016173221807785637760159333308254812047132642259575096790538150937024413607604555550613893628513334678971873439451043707273877443301<157>

53871891180659730453646880049351079380378450670696769134137955305176969<71>
44303290413215125304070291034490464860015617469545995900879898670599667460601683944829<86>

Number: n
N=2386702040085890694193299016173221807785637760159333308254812047132642259575096790538150937024413607604555550613893628513334678971873439451043707273877443301  ( 157 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sun May 29 21:58:01 2022  p71 factor: 53871891180659730453646880049351079380378450670696769134137955305176969
Sun May 29 21:58:01 2022  p86 factor: 44303290413215125304070291034490464860015617469545995900879898670599667460601683944829
Sun May 29 21:58:01 2022  elapsed time 00:25:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 4x10^185-9x10^92-4 = 4(92)34(92)
#
n: 2386702040085890694193299016173221807785637760159333308254812047132642259575096790538150937024413607604555550613893628513334678971873439451043707273877443301
m: 5000000000000000000000000000000
deg: 6
c6: 32
c3: -9
c0: -5
skew: 0.73
# Murphy_E = 4.167e-11
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2880528 hash collisions in 28885997 relations (26855484 unique)
Msieve: matrix is 1049568 x 1049795 (360.3 MB)

Sieving start time : 2022/05/29 17:03:10
Sieving end time  : 2022/05/29 21:31:12

Total sieving time: 4hrs 28min 2secs.

Total relation processing time: 0hrs 17min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 22sec.

Prototype def-par.txt line would be:
snfs,185,6,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
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)

1738259674790346808039676266106046850988067043474046036365129824927309674566923068801551604947205314373497846789375648110859291465770776716464546887634480496568159775254839<172>

9346214026758129005394322582156857692495284392814236691<55>
185985434296039504768664785573561972907344252952128905343211301040757507810730954838133088720853367271520062678618829<117>

Number: n
N=1738259674790346808039676266106046850988067043474046036365129824927309674566923068801551604947205314373497846789375648110859291465770776716464546887634480496568159775254839  ( 172 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Jun 29 00:04:25 2022  p55 factor: 9346214026758129005394322582156857692495284392814236691
Wed Jun 29 00:04:25 2022  p117 factor: 185985434296039504768664785573561972907344252952128905343211301040757507810730954838133088720853367271520062678618829
Wed Jun 29 00:04:25 2022  elapsed time 01:00:12 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 4x10^193-9x10^96-4 = 4(96)34(96)
#
n: 1738259674790346808039676266106046850988067043474046036365129824927309674566923068801551604947205314373497846789375648110859291465770776716464546887634480496568159775254839
m: 100000000000000000000000000000000
deg: 6
c6: 40
c3: -9
c0: -4
skew: 0.68
# Murphy_E = 2.32e-11
type: snfs
lss: 1
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3505947 hash collisions in 29154197 relations (26984580 unique)
Msieve: matrix is 1403085 x 1403310 (484.6 MB)

Sieving start time : 2022/06/28 18:11:48
Sieving end time  : 2022/06/28 23:03:43

Total sieving time: 4hrs 51min 55secs.

Total relation processing time: 0hrs 37min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 32sec.

Prototype def-par.txt line would be:
snfs,193,6,0,0,0,0,0,0,0,0,11800000,11800000,28,28,55,55,2.5,2.5,100000
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)

78501546195146689929964110266514090461360821072555910946032736106414648987227542070559349328493651449221684223884047689111809<125>

1882508556972930792504172266604891701829<40>
41700498998728051672829785991744062574719027886290704900267139868544121671125224244621<86>

Number: 44344_99
N = 78501546195146689929964110266514090461360821072555910946032736106414648987227542070559349328493651449221684223884047689111809 (125 digits)
Divisors found:
r1=1882508556972930792504172266604891701829 (pp40)
r2=41700498998728051672829785991744062574719027886290704900267139868544121671125224244621 (pp86)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 43.26 hours.
Factorization parameters were as follows:
n: 78501546195146689929964110266514090461360821072555910946032736106414648987227542070559349328493651449221684223884047689111809
Y0: -3588072937629776212893805
Y1: 2130117107933
c0: -10073577683874968691726660856722
c1: 28148209504166770350248241
c2: 592131653657872070044
c3: 536784042731773
c4: -1041310679
c5: 132
skew: 741344.08 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11346863
Relations: 1662348 relations
Pruned matrix : 966973 x 967208
Polynomial selection time: 0.00 hours.
Total sieving time: 42.73 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.39 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 43.26 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, MSieve

133889294066286116459155992719327307692710098238425328200431837558430455515591423207229722884319095286672554015124890885088522290491005081761348900372029187868944317<165>

515744982531747349836638493293266571801363226174323946151671847147551371<72>
259603677400864268599710346902719975435710605914547100221864999830833963628856258992804026327<93>

Number: n
N=133889294066286116459155992719327307692710098238425328200431837558430455515591423207229722884319095286672554015124890885088522290491005081761348900372029187868944317  ( 165 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Oct 31 15:02:31 2022  p72 factor: 515744982531747349836638493293266571801363226174323946151671847147551371
Mon Oct 31 15:02:31 2022  p93 factor: 259603677400864268599710346902719975435710605914547100221864999830833963628856258992804026327
Mon Oct 31 15:02:31 2022  elapsed time 01:31:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 4x10^201-9x10^100-4 = 4(100)34(100)
#
n: 133889294066286116459155992719327307692710098238425328200431837558430455515591423207229722884319095286672554015124890885088522290491005081761348900372029187868944317
m: 1000000000000000000000000000000000
deg: 6
c6: 2000
c3: -45
c0: -2
skew: 0.32
# Murphy_E = 1.202e-11
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 35161237)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2272516 hash collisions in 14771170 relations (13450308 unique)
Msieve: matrix is 2086927 x 2087152 (729.8 MB)

Sieving start time : 2022/10/31 01:49:14
Sieving end time  : 2022/10/31 13:30:16

Total sieving time: 11hrs 41min 2secs.

Total relation processing time: 1hrs 22min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 58sec.

Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,15900000,15900000,27,27,54,54,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

415024396905149475658262674587838640976235814821134056638781505021689418183184087945949442850480665323375910457565716788758600089885832173897495991446031<153>

60232798620051710420260100587591165757390041<44>
6890338925194593147010347771739187684327174067978479687148065600903434615165970650015876308571916491518340391<109>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3870782124
Step 1 took 22636ms
Step 2 took 11454ms
********** Factor found in step 2: 60232798620051710420260100587591165757390041
Found prime factor of 44 digits: 60232798620051710420260100587591165757390041
Prime cofactor 6890338925194593147010347771739187684327174067978479687148065600903434615165970650015876308571916491518340391 has 109 digits

97490118763785809404010381204810145152283595026522955121054507903952556872459807507917352115959635493495656633273616528707099725071547511069329437485674317522977102883812041496308631<182>

207780799578378942909389986881964261557618344932917292856297708726462064011327<78>
469196956415651138852454548672449000717797526438717196772508319881688892394911491170184488379621616182953<105>

Number: n
N=97490118763785809404010381204810145152283595026522955121054507903952556872459807507917352115959635493495656633273616528707099725071547511069329437485674317522977102883812041496308631  ( 182 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Oct 26 13:38:38 2023  prp78 factor: 207780799578378942909389986881964261557618344932917292856297708726462064011327
Thu Oct 26 13:38:38 2023  prp105 factor: 469196956415651138852454548672449000717797526438717196772508319881688892394911491170184488379621616182953
Thu Oct 26 13:38:38 2023  elapsed time 02:45:40 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 4x10^205-9x10^102-4 = 4(102)34(102)
#
n: 97490118763785809404010381204810145152283595026522955121054507903952556872459807507917352115959635493495656633273616528707099725071547511069329437485674317522977102883812041496308631
m: 10000000000000000000000000000000000
deg: 6
c6: 40
c3: -9
c0: -4
skew: 0.68
# Murphy_E = 9.376e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3453594 hash collisions in 19946414 relations (16770063 unique)
Msieve: matrix is 2272156 x 2272381 (635.0 MB)

Sieving start time: 2023/10/25 14:43:42
Sieving end time  : 2023/10/26 10:52:33

Total sieving time: 20hrs 8min 51secs.

Total relation processing time: 2hrs 37min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18700000,18700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

9492540488842989674702967364426758204262960507476049431039726573881993978662118675504764176781007872768931477707730019329490860648207037160383359830319553342789810273680875783200491091571<187>

306193122388284430937814776685867204523<39>

31001808318886634473653716877974304869530111329172304013271356124683502129548220996504100087707800565110711370240013898011087962097720342022653017177<149>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2449124232
Step 1 took 27139ms
Step 2 took 11973ms
********** Factor found in step 2: 306193122388284430937814776685867204523
Found prime factor of 39 digits: 306193122388284430937814776685867204523
Composite cofactor 31001808318886634473653716877974304869530111329172304013271356124683502129548220996504100087707800565110711370240013898011087962097720342022653017177 has 149 digits

3650955845560129781300028194324006055382685201700542257702505630077889699204575000137180020055608401267201033650781999204098129480634988491786261507592048710961684744700097166831643886549466326112813<199>

3584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003503584229390681003584229390681003584229390681003584229390681003584229390681003584229390681003584229390681<211>

54395283605441368609342022757671514195675379023840466307176115822391506444471878141107804974221159928652079725609327858501604745142877245210478424026274138925767870037916653657930561445467957125056557551<203>

38081903977699653957878934727705421959794119572599450983680047130248043053808557264524985870565495914877170804577686550682421581694356959422349819645356052582185543526978330334137689141595888867<194>

4095819670468091059035887910046504233816650291132459024167486597<64>
9297749178822479920878416735171025704075192113691873202524721619271870221793388439521135801585085686432026401412663389328888867911<130>

Number: 44344_110
N = 38081903977699653957878934727705421959794119572599450983680047130248043053808557264524985870565495914877170804577686550682421581694356959422349819645356052582185543526978330334137689141595888867 (194 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=4095819670468091059035887910046504233816650291132459024167486597 (pp64)
r2=9297749178822479920878416735171025704075192113691873202524721619271870221793388439521135801585085686432026401412663389328888867911 (pp130)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 21.95 hours.
Factorization parameters were as follows:
n: 38081903977699653957878934727705421959794119572599450983680047130248043053808557264524985870565495914877170804577686550682421581694356959422349819645356052582185543526978330334137689141595888867
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 40
c2: -9
c0: -4
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: 31346587
Relations: 6786430 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 7.94 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6061956 x 6062181
Matrix solve time: 13.65 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: 21.95 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

31779984006655295365483256613778690654158291401435110601783383062623331521644287602352404522333999291952710023043439733982700875294537540453176045706784073361<158>

4316397566304712171686679874875279408109493043<46>

7362617441623266872064584047518457272063212319712141192059405845550503508064324282285303925265730117408183408427<112>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2584378918
Step 1 took 24126ms
Step 2 took 12825ms
********** Factor found in step 2: 4316397566304712171686679874875279408109493043
Found prime factor of 46 digits: 4316397566304712171686679874875279408109493043
Composite cofactor 7362617441623266872064584047518457272063212319712141192059405845550503508064324282285303925265730117408183408427 has 112 digits

7362617441623266872064584047518457272063212319712141192059405845550503508064324282285303925265730117408183408427<112>

113627393410471945339566110791570271438305793481913<51>
64796148363856819302728626649257583583108967039062933474642179<62>

prp62 = 64796148363856819302728626649257583583108967039062933474642179
prp51 = 113627393410471945339566110791570271438305793481913

Yafu

161095163488289591506468348968549095940845081332977739692712493464340215833043872169086553732295165153007373831597727685182776794749788697211781960583938567756344743030664059121654689188779671<192>

17835695746351004351427816604769000818548577970923833076396483862101691576615346159191675261133423694106485525209033229372547308365075814564313306275779306553416856790228510683463696390219<188>

413626620851647092761353679247744441090902941<45>

43120280096159534336736559454052585539857543811174361003426567434810040803043579594190133619157560564156260334395248614151660545874097127338759<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1610152258
Step 1 took 11376ms
Step 2 took 4572ms
********** Factor found in step 2: 413626620851647092761353679247744441090902941
Found probable prime factor of 45 digits: 413626620851647092761353679247744441090902941
Composite cofactor 43120280096159534336736559454052585539857543811174361003426567434810040803043579594190133619157560564156260334395248614151660545874097127338759 has 143 digits

43120280096159534336736559454052585539857543811174361003426567434810040803043579594190133619157560564156260334395248614151660545874097127338759<143>

1063240711033760135131554350605271222787088193019842012879386593286531<70>
40555520164605862703510595907455707170663830720828004550744436902627212589<74>

Number: 44344_115
N = 43120280096159534336736559454052585539857543811174361003426567434810040803043579594190133619157560564156260334395248614151660545874097127338759 (143 digits)
Divisors found:
r1=1063240711033760135131554350605271222787088193019842012879386593286531 (pp70)
r2=40555520164605862703510595907455707170663830720828004550744436902627212589 (pp74)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 246.30 hours.
Factorization parameters were as follows:
# Murphy_E = 1.519e-11, selected by Dmitry Domanov
n: 43120280096159534336736559454052585539857543811174361003426567434810040803043579594190133619157560564156260334395248614151660545874097127338759
Y0: -5459293446303064540946733457
Y1: 581897418777431
c0: -38580053596986171685877141495571000
c1: 318518667731257100477880666470
c2: 61425957669067983653627
c3: -240553899726585547
c4: -14559467427
c5: 8892
skew: 2275399.94
type: gnfs
# selected mechanically
rlim: 21000000
alim: 21000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23826210
Relations: 4051422 relations
Pruned matrix : 2549169 x 2549394
Polynomial selection time: 0.00 hours.
Total sieving time: 244.60 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.34 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: gnfs,142,5,65,2000,1e-05,0.28,250,20,50000,3600,21000000,21000000,28,28,56,56,2.6,2.6,100000
total time: 246.30 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22631-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

50596568862128100140773050161604266692910585463975898200996638693219500215113218134648969678181719295354003686129650167092668670196984836862687250572808351633167307439159742549964695598201201208925561727<203>

147123541942270715077352121402753465373396061885921333339018775488150442846782528712821338249222850748852877338886374889987139353003306283671178397074348206770592532784028404581996346490793101359522351309874445435776111170239327<228>

56241438888004597296990935994365460233<38>
2615927772318247393707683135922135066658250282099002953944558389751476209888525234574930840138965447930447697221796074924024743989834815145503375568822395879911710707377471981324924292225319<190>

GPU: factor 56241438888004597296990935994365460233 found in Step 1 with curve 1156 (-sigma 3:-6934871)
Computing 1792 Step 1 took 855ms of CPU time / 642787ms of GPU time
Throughput: 2.788 curves per second (on average 358.70ms per Step 1)
********** Factor found in step 1: 56241438888004597296990935994365460233
Found prime factor of 38 digits: 56241438888004597296990935994365460233
Prime cofactor 2615927772318247393707683135922135066658250282099002953944558389751476209888525234574930840138965447930447697221796074924024743989834815145503375568822395879911710707377471981324924292225319 has 190 digits
Peak memory usage: 9430MB

172343577952637571968523858297042084405956676616061421872433696409549006154906199422545607711892551362263960389930791989397681599720665528854365023353416530472154189594825418540687647429159464859402970824128031975938079020564552752042573<237>

2793765646063271801634239744011680603897521<43>

61688630968559923779230735099810498146527370530233631213413344132809615714788523972013168038774741140695208025935815426756029405999997292449889471373335879160568716905753076536713350252170398813<194>

Resuming ECM residue saved by @e6e308e8ef93 with GMP-ECM 7.0.5-dev on Thu Sep 15 22:11:01 2022 
Input number is 172343577952637571968523858297042084405956676616061421872433696409549006154906199422545607711892551362263960389930791989397681599720665528854365023353416530472154189594825418540687647429159464859402970824128031975938079020564552752042573 (237 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1075627142
Step 1 took 0ms
Step 2 took 19539ms
********** Factor found in step 2: 2793765646063271801634239744011680603897521
Found prime factor of 43 digits: 2793765646063271801634239744011680603897521
Composite cofactor 61688630968559923779230735099810498146527370530233631213413344132809615714788523972013168038774741140695208025935815426756029405999997292449889471373335879160568716905753076536713350252170398813 has 194 digits

16457811043802970667695925333335240908194232297584376508049205091110412903207542331365661046630306862486189060424592514977564486913732134990388213276337677008562006624830939200804606954433<188>

52313822237112107655502329015799309381444898347673126752728016551863471681415628109158310833715949890940702914056180173352841699585327119851734723717033063302598787899687406756196800450814723241<194>

541545931335134354532164990546350237316295840120840081034648996456751950634420325650160392231697761780163495890969700865541167158636982621141047036894024088807414314843586582567944660044064697099927299446685597503665818119974359712991<234>

161557022297464603267035667724474932083505421584039835023575303754022617248988861386538885120473938648428541814003194405904996201097473752975859851778664684041625291156303072097565481607416024917844901954095823228366287505728917339182405609<240>

17701947428036886837276503870262044887344667092792574102666814949935605473411225443287609513584488809940358982335581177132957309607917191084585643234681180376896553001062262547193243736547514256854044339163289112686948269509501681<230>

11034221993199594481653783665494310569767343<44>
1604276897722976781281651182669468906937774968476737445073234403921749021110922105900127655516355558016174674920920665135397395561704920090951243214435330900397324182612292410645427567967<187>

Resuming ECM residue saved by @4a894ecbb8b6 with GMP-ECM 7.0.5-dev on Wed Aug 10 21:02:38 2022 
Input number is 17701947428036886837276503870262044887344667092792574102666814949935605473411225443287609513584488809940358982335581177132957309607917191084585643234681180376896553001062262547193243736547514256854044339163289112686948269509501681 (230 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4117056698
Step 1 took 1ms
Step 2 took 26856ms
********** Factor found in step 2: 11034221993199594481653783665494310569767343
Found prime factor of 44 digits: 11034221993199594481653783665494310569767343
Prime cofactor 1604276897722976781281651182669468906937774968476737445073234403921749021110922105900127655516355558016174674920920665135397395561704920090951243214435330900397324182612292410645427567967 has 187 digits

707241487151900857113752047032578089117418445953237663426076918253373144403013028603557318520331049232067843519972372511112532607912738609631155567417760990760592339653091714196580223953311217923082404025747001103<213>

7892484561346751206661302872903347397486238165579061022936776899436350765009386849148331988772753571543765392353422463213733110639135300727878823350594436996198465279925293785972240876187141481454137700437063488189828723<220>

258037529765870072750042345715320146380288208180205490101917155647947506518657367628446403527029830005046112354609540221055917481952028506149229199354551134837632553220974326586399019014068277429790955572823112547883908121304581719684015143<240>

436855174431786832246939824370057033666614907628744814130995216989335477939260812465795905352343612222362553209904945106344906702004615633317707504284600193309375767449423200301815551363851522951163178516363491556471707258325526174375889902112869403823564342318993<264>

4961917419513673975933692154500687647896203805752027277959606075565262774912483582361799168973336910631666465652197221909439074327693634208619739108095233687850389622356569500535565375391582620348609091755237213889138660647473013331070945101139105878536776022011883<265>

442991664190995010610406772611188968313070468051654759912185099583336979958145010916735667284867255213392231893837030092764648248475670184075798058038957106095105426557768754450402944427845393408587048974372847244838327909766355237818079857718804493530303453171<261>

50166644553625918484453521661682270537172516618071407164788825517831374025917586575542057334300287855578660817107399224926170329888009833597230195786953983019133800052210601960223489185350804880052111442538859857153175791<221>

17002340847969603924294571062104009485618073<44>

2950572806544855847419701077621306482205304861596631790954130591347205055473137964419108971949696124224880727108845529791388154440616935547476551235555474421464217766941677991367<178>

Resuming ECM residue saved by @4a894ecbb8b6 with GMP-ECM 7.0.5-dev on Wed Aug 10 21:40:26 2022 
Input number is 50166644553625918484453521661682270537172516618071407164788825517831374025917586575542057334300287855578660817107399224926170329888009833597230195786953983019133800052210601960223489185350804880052111442538859857153175791 (221 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1448190622
Step 1 took 0ms
Step 2 took 27151ms
********** Factor found in step 2: 17002340847969603924294571062104009485618073
Found prime factor of 44 digits: 17002340847969603924294571062104009485618073
Composite cofactor 2950572806544855847419701077621306482205304861596631790954130591347205055473137964419108971949696124224880727108845529791388154440616935547476551235555474421464217766941677991367 has 178 digits

2950572806544855847419701077621306482205304861596631790954130591347205055473137964419108971949696124224880727108845529791388154440616935547476551235555474421464217766941677991367<178>

13510823646389352562366144419325189319<38>

218385857425751403686588929432974075094590087767900727758420378709693205768998666040257665368203171793631701720192218638500846728150706331393<141>

Resuming ECM residue saved by @4a894ecbb8b6 with GMP-ECM 7.0.5-dev on Wed Aug 10 21:40:26 2022 
Input number is 2950572806544855847419701077621306482205304861596631790954130591347205055473137964419108971949696124224880727108845529791388154440616935547476551235555474421464217766941677991367 (178 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1448190634
Step 1 took 0ms
Step 2 took 20744ms
********** Factor found in step 2: 13510823646389352562366144419325189319
Found prime factor of 38 digits: 13510823646389352562366144419325189319
Composite cofactor 218385857425751403686588929432974075094590087767900727758420378709693205768998666040257665368203171793631701720192218638500846728150706331393 has 141 digits

218385857425751403686588929432974075094590087767900727758420378709693205768998666040257665368203171793631701720192218638500846728150706331393<141>

36634063479926682594944388524968624316293052447007947<53>
5961278566474451857937777197304514540809321820319879184206577136477963528434752683253219<88>

Number: 1
N=218385857425751403686588929432974075094590087767900727758420378709693205768998666040257665368203171793631701720192218638500846728150706331393
  ( 141 digits)
Divisors found:
 r1=36634063479926682594944388524968624316293052447007947 (pp53)
 r2=5961278566474451857937777197304514540809321820319879184206577136477963528434752683253219 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 361.65 hours.
Scaled time: 2834.25 units (timescale=7.837).
Factorization parameters were as follows:
# Murphy_E = 1.894e-11, selected by Dmitry Domanov
n: 218385857425751403686588929432974075094590087767900727758420378709693205768998666040257665368203171793631701720192218638500846728150706331393
Y0: -2593833850830970707897742211
Y1: 662617916112451
c0: -332374719938107645235823692429917080
c1: 603162646762863754545220669974
c2: -52078736890889414302471
c3: -77543343914445502
c4: 13369028222
c5: 1860
skew: 3903356.66
type: gnfs
# selected mechanically
rlim: 18600000
alim: 18600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 18600000/18600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [9300000, 16400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2102301 x 2102527
Total sieving time: 360.68 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.83 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,140,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,18600000,18600000,28,28,56,56,2.6,2.6,100000
total time: 361.65 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

162114481966501988605346185027010555531826166174473893997186607698168243121935310512608832260618673623051519841385749186877481896323731614375101585649132860387206653578539979558188256039734303589697465142569079446408496975345521194280895207367871807<249>

52041130226646410775815807841622362433337587803053<50>
3115122236209527245863488220654856326097488696703450437349569644219317336991254462329618151832113903741198458885747233029658280515683477665124585955217173657120994666331305559853031029378940683694619<199>

GPU: factor 52041130226646410775815807841622362433337587803053 found in Step 1 with curve 105 (-sigma 3:-528261764)
Computing 1792 Step 1 took 1075ms of CPU time / 981668ms of GPU time
Throughput: 1.825 curves per second (on average 547.81ms per Step 1)
********** Factor found in step 1: 52041130226646410775815807841622362433337587803053
Found prime factor of 50 digits: 52041130226646410775815807841622362433337587803053
Prime cofactor 3115122236209527245863488220654856326097488696703450437349569644219317336991254462329618151832113903741198458885747233029658280515683477665124585955217173657120994666331305559853031029378940683694619 has 199 digits
Peak memory usage: 9430MB

108545484734041514715207929408425793612380569757028116285250575430174575029352324671019159998825034548997916409333063693990428638729211145117456413792606775937409416215652444827390091148146165040284881400997196872199814049077238385900676338445105413821617763881348207<267>

4952059476015741016713609340836670418246943615371303117769655511936683154806743880371562079009913165111823115360282277217395886201670408580251043496057577034597954053546312690621950711701625597748124941012061028632868666948963699827587334845068446759871128815866078947312557<274>

9606563784933457201507976267202418311144551<43>
515487076011752413439880355997493229876010289531567034538714443811497984114727346370748610802401208058594477502342009713829493187004374219946684327376259326273577580032712291629404956767231664921393033827191074364026032635857365707<231>

Resuming ECM residue saved by @1f1df1d735e1 with GMP-ECM 7.0.5-dev on Thu Aug  4 16:54:42 2022 
Input number is 4952059476015741016713609340836670418246943615371303117769655511936683154806743880371562079009913165111823115360282277217395886201670408580251043496057577034597954053546312690621950711701625597748124941012061028632868666948963699827587334845068446759871128815866078947312557 (274 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1267840554
Step 1 took 0ms
Step 2 took 17845ms
********** Factor found in step 2: 9606563784933457201507976267202418311144551
Found prime factor of 43 digits: 9606563784933457201507976267202418311144551
Prime cofactor 515487076011752413439880355997493229876010289531567034538714443811497984114727346370748610802401208058594477502342009713829493187004374219946684327376259326273577580032712291629404956767231664921393033827191074364026032635857365707 has 231 digits

695620682020321174510475421930849626704209975436703046951984340335735286554698397358778204803878647118915882896251851513718058275715279014837859423953242827897585049905459549914758429808732168087688703356827708799954778178048888150426042056027365754192502481993323035369347801<276>

361912003663973287626484968554746049282329262179927529557466294917401173986852051425028154522001642809173243834100456645873615364509410169859241442606467474702914504730004549191881212212144867230341361256649420170763007429992641000553<234>

35835953965047632394606979086813583060633943<44>

10099131280751220872937421195946231663896009557777974981158764506475891405136765205692954017199821998312087426813703700217756497913676697110663520469053168040817305594845247088901911538014271<191>

Resuming ECM residue saved by @4a894ecbb8b6 with GMP-ECM 7.0.5-dev on Wed Aug 10 22:13:10 2022 
Input number is 361912003663973287626484968554746049282329262179927529557466294917401173986852051425028154522001642809173243834100456645873615364509410169859241442606467474702914504730004549191881212212144867230341361256649420170763007429992641000553 (234 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3810592996
Step 1 took 0ms
Step 2 took 29002ms
********** Factor found in step 2: 35835953965047632394606979086813583060633943
Found prime factor of 44 digits: 35835953965047632394606979086813583060633943
Composite cofactor 10099131280751220872937421195946231663896009557777974981158764506475891405136765205692954017199821998312087426813703700217756497913676697110663520469053168040817305594845247088901911538014271 has 191 digits

3823159368376768724650773410615039146826425293237939281645631283538771615294493691516923752336271130293589600460220157804511485236487113789072239797434062857936077844053784977218082522420227443270793049851014568542844204092171<226>

2659450125881591642868239363861482597951650307<46>

1437575132983332222264356200021973259523648404345609814076588943153587544289156040106162239913739244135766496941667037308481627025225130511371821992715801378372299228370827577073753<181>

Resuming ECM residue saved by @e6e308e8ef93 with GMP-ECM 7.0.5-dev on Thu Sep 15 23:37:55 2022 
Input number is 3823159368376768724650773410615039146826425293237939281645631283538771615294493691516923752336271130293589600460220157804511485236487113789072239797434062857936077844053784977218082522420227443270793049851014568542844204092171 (226 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:805761775
Step 1 took 0ms
Step 2 took 18086ms
********** Factor found in step 2: 2659450125881591642868239363861482597951650307
Found prime factor of 46 digits: 2659450125881591642868239363861482597951650307
Composite cofactor 1437575132983332222264356200021973259523648404345609814076588943153587544289156040106162239913739244135766496941667037308481627025225130511371821992715801378372299228370827577073753 has 181 digits

147635394366675966521229048228416150408274260454858352519119584629361832430640466890999635795997604359772451195949497104309270592987557785843592565671478174837084496384338795449578947828333899599105359377101192356250706315211490880774283551019524420614010821868823659421<270>

102957433089571243513777759407892332269738116036034167395383821513524627916934973144035493261777652692608773317504141312993394669267984010208952142872791157045457917924808085989048667701265887056167818566709997989323542365069053900790729173577127591238562141248674493<267>

1268341992444231880834353842719884023743822547494229910368121021317293239627326836373032745153099984070712152918962855918116765254747492202257058804851395094535424487649392058158701942560316625362734588523029278803058132150765902235422107973737264076167467385870180366847798993672731<283>

7655217434652784822796509943107362940832542667804617975653403993390724047118090153157329643458679336083167074334416833570752616065616921290219493187988005168701263045635284235802872737940452062356470384727408873094448288403022923331577339863603821988866124916068793701<268>