5313560814462601640827579506051386687556551468668209117463093524742975472603280440630825939893<94>

3075573885534628519939042153470526723<37>
1727664823613542535079863618928080137554986837878236674791<58>

N=5313560814462601640827579506051386687556551468668209117463093524742975472603280440630825939893
  ( 94 digits)
SNFS difficulty: 99 digits.
Divisors found:
p37 factor: 3075573885534628519939042153470526723
p58 factor: 1727664823613542535079863618928080137554986837878236674791
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.05 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5313560814462601640827579506051386687556551468668209117463093524742975472603280440630825939893
m: 5000000000000000000000000
deg: 4
c4: 7
c0: -55
skew: 1.67
# Murphy_E = 4.163e-07
type: snfs
lss: 1
rlim: 320000
alim: 320000
lpbr: 24
lpba: 24
mfbr: 43
mfba: 43
rlambda: 2.1
alambda: 2.1
Factor base limits: 320000/320000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 43/43
Sieved rational special-q in [160000, 240001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 20091 x 20316
Total sieving time: 0.05 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,99.0000,4,0,0,0,0,0,0,0,0,320000,320000,24,24,43,43,2.1,2.1,10000
total time: 0.05 hours.
 --------- CPU info (if available) ----------

107933430948990654097241562673731073921180637650918466813188747361543437025933849731373<87>

9463404074252643513061355539169441521979<40>
11405349502368630078140164257944221167696584887<47>

P40 = 9463404074252643513061355539169441521979
P47 = 11405349502368630078140164257944221167696584887

343221037353622447541855809429242235159776515051412060553607192431350441452709005698432111696881026347<102>

100989085480535296519499505486436590301876561897<48>
3398595360285494401075824222836717303486301011204516851<55>

CADO


STA:Thu 28 Jul 2022 08:04:49 AEST (343221037353622447541855809429242235159776515051412060553607192431350441452709005698432111696881026347 - C102)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 343221037353622447541855809429242235159776515051412060553607192431350441452709005698432111696881026347 2>&1 | tee -a log182

Debug:root: Looking for parameter file for c102 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.02nhzgaf
Info:Database: Opened connection to database /tmp/cado.02nhzgaf/c100.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 343221037353622447541855809429242235159776515051412060553607192431350441452709005698432111696881026347
Debug:root: Root parameter dictionary:
N = 343221037353622447541855809429242235159776515051412060553607192431350441452709005698432111696881026347
lim0 = 919082
lim1 = 1051872
lpb0 = 24
lpb1 = 25
name = c100
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 343221037353622447541855809429242235159776515051412060553607192431350441452709005698432111696881026347
skew: 672637.23
c0: 1614724511955764739586401915
c1: 11440646339181734114376
c2: -10195170274260187
c3: -20969768960
c4: 13920
Y0: -2228373224245283877385612
Y1: 58109595934433
# MurphyE (Bf=1.05e+06,Bg=9.19e+05,area=2.21e+12) = 6.85e-09
# f(x) = 13920*x^4-20969768960*x^3-10195170274260187*x^2+11440646339181734114376*x+1614724511955764739586401915
# g(x) = 58109595934433*x-2228373224245283877385612
===
Info:Square Root: finished
Info:Square Root: Factors: 3398595360285494401075824222836717303486301011204516851 100989085480535296519499505486436590301876561897
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 102.92/15.4698
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2890.72
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2944/34.870/38.672/39.480/0.650
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2944/33.590/37.336/39.450/0.974
Info:Polynomial Selection (size optimized): Total time: 59.54
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 41.63
Info:Polynomial Selection (root optimized): Rootsieve time: 41.42
Info:Generate Factor Base: Total cpu/real time for makefb: 0.98/0.112984
Info:Generate Free Relations: Total cpu/real time for freerel: 25.98/1.72972
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2684130
Info:Lattice Sieving: Average J: 1023.18 for 122611 special-q, max bucket fill: 0.797255
Info:Lattice Sieving: Total CPU time: 9382.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.28/5.31751
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 27.75/8.21983
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.87/8.0146
Info:Filtering - Merging: Total cpu/real time for merge: 66.54/52.2362
Info:Filtering - Merging: Total cpu/real time for replay: 6.99/5.53265
Info:Linear Algebra: Total cpu/real time for bwc: 1150.82/0.000159025
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 44.2
Info:Linear Algebra: Lingen CPU time 41.07, WCT time 4.27
Info:Linear Algebra: Mksol: WCT time 28.36
Info:Quadratic Characters: Total cpu/real time for characters: 6.58/1.48651
Info:Square Root: Total cpu/real time for sqrt: 102.92/15.4698
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 10896.5/889.869
Info:root: Cleaning up computation data in /tmp/cado.02nhzgaf
3398595360285494401075824222836717303486301011204516851 100989085480535296519499505486436590301876561897

END:Thu 28 Jul 2022 08:19:39 AEST (343221037353622447541855809429242235159776515051412060553607192431350441452709005698432111696881026347 - C102)

7520155312844094448635446355234996221122958335208524044001699384305447938492674154460684740249<94>

77393106384523027727191930226714786981609899<44>
97168283638605379461890831078555596224310492904651<50>

prp50 = 97168283638605379461890831078555596224310492904651
prp44 = 77393106384523027727191930226714786981609899

Yafu

4964370767735627319705074618946388840961435105521218279507611353403609192864062541585470127585406708458044709781267951696593<124>

2517356281635625780467331410289678492824852790034419<52>
1972057274511051570720318328439974989549915973217284255144110452475023147<73>

N=4964370767735627319705074618946388840961435105521218279507611353403609192864062541585470127585406708458044709781267951696593
  ( 124 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=2517356281635625780467331410289678492824852790034419 (pp52)
 r2=1972057274511051570720318328439974989549915973217284255144110452475023147 (pp73)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.53 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4964370767735627319705074618946388840961435105521218279507611353403609192864062541585470127585406708458044709781267951696593
m: 500000000000000000000000000000000
deg: 4
c4: 14
c0: -11
skew: 0.94
# Murphy_E = 9.643e-09
type: snfs
lss: 1
rlim: 1110000
alim: 1110000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1110000/1110000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [555000, 1355001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 146910 x 147135
Total sieving time: 3.48 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131.000,4,0,0,0,0,0,0,0,0,1110000,1110000,26,26,47,47,2.3,2.3,100000
total time: 3.53 hours.
 --------- CPU info (if available) ----------

1437840470376444077103996985222661543503686716784002301236529562646813361453296482506026551767802800367223<106>

2104055169732338125886066873047160807708791849<46>
683366335189469005742458962132177885640407160571348271757727<60>

N=1437840470376444077103996985222661543503686716784002301236529562646813361453296482506026551767802800367223
  ( 106 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=2104055169732338125886066873047160807708791849 (pp46)
 r2=683366335189469005742458962132177885640407160571348271757727 (pp60)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.90 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1437840470376444077103996985222661543503686716784002301236529562646813361453296482506026551767802800367223
m: 5000000000000000000000000000000000
deg: 4
c4: 7
c0: -55
skew: 1.67
# Murphy_E = 8.503e-09
type: snfs
lss: 1
rlim: 1280000
alim: 1280000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1280000/1280000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [640000, 1340001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 159412 x 159638
Total sieving time: 2.86 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,135.000,4,0,0,0,0,0,0,0,0,1280000,1280000,26,26,47,47,2.3,2.3,100000
total time: 2.90 hours.
 --------- CPU info (if available) ----------

99626863859873103628710238142127515311367973046985779366305646202967627765383887924276145450085863397246629781696267930313213<125>

443947172239089929983597387091807522102714893399858473502937<60>
224411529320922370456858989748783910352001002592965873770198698949<66>

CADO


STA:Thu 28 Jul 2022 18:04:44 AEST (99626863859873103628710238142127515311367973046985779366305646202967627765383887924276145450085863397246629781696267930313213 - C125)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 99626863859873103628710238142127515311367973046985779366305646202967627765383887924276145450085863397246629781696267930313213 2>&1 | tee -a log190

Debug:root: Looking for parameter file for c125 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.tsy5yfj8
Info:Database: Opened connection to database /tmp/cado.tsy5yfj8/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 99626863859873103628710238142127515311367973046985779366305646202967627765383887924276145450085863397246629781696267930313213
Debug:root: Root parameter dictionary:
N = 99626863859873103628710238142127515311367973046985779366305646202967627765383887924276145450085863397246629781696267930313213
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 99626863859873103628710238142127515311367973046985779366305646202967627765383887924276145450085863397246629781696267930313213
skew: 32257.397
c0: 1925578291751589616101694350
c1: 706556408747547796600883
c2: -26929164879630387282
c3: -1890370402804007
c4: 15100599666
c5: 87120
Y0: -1467951809433317105470363
Y1: 56044567418950531
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 6.13e-10
# f(x) = 87120*x^5+15100599666*x^4-1890370402804007*x^3-26929164879630387282*x^2+706556408747547796600883*x+1925578291751589616101694350
# g(x) = 56044567418950531*x-1467951809433317105470363
===
Info:Square Root: finished
Info:Square Root: Factors: 443947172239089929983597387091807522102714893399858473502937 224411529320922370456858989748783910352001002592965873770198698949
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 646.42/90.1318
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 22085/36.800/44.512/48.670/0.848
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22085/35.770/40.284/45.320/1.344
Info:Polynomial Selection (size optimized): Total time: 1762.79
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 905.62
Info:Polynomial Selection (root optimized): Rootsieve time: 904.77
Info:Generate Factor Base: Total cpu/real time for makefb: 11.74/1.11139
Info:Generate Free Relations: Total cpu/real time for freerel: 148.98/9.95172
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13060704
Info:Lattice Sieving: Average J: 3791.04 for 223839 special-q, max bucket fill: 0.73757
Info:Lattice Sieving: Total CPU time: 155067s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.38/39.7116
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 189.59/56.4565
Info:Filtering - Singleton removal: Total cpu/real time for purge: 127.98/51.4124
Info:Filtering - Merging: Total cpu/real time for merge: 266.91/216.769
Info:Filtering - Merging: Total cpu/real time for replay: 23.26/18.1319
Info:Linear Algebra: Total cpu/real time for bwc: 11280.9/0.000314713
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 465.46
Info:Linear Algebra: Lingen CPU time 149.13, WCT time 14.98
Info:Linear Algebra: Mksol: WCT time 263.97
Info:Quadratic Characters: Total cpu/real time for characters: 25.83/6.08251
Info:Square Root: Total cpu/real time for sqrt: 646.42/90.1318
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 170490/11783.2
Info:root: Cleaning up computation data in /tmp/cado.tsy5yfj8
443947172239089929983597387091807522102714893399858473502937 224411529320922370456858989748783910352001002592965873770198698949

END:Thu 28 Jul 2022 21:21:08 AEST (99626863859873103628710238142127515311367973046985779366305646202967627765383887924276145450085863397246629781696267930313213 - C125)

29467299003127286909576910421554329818023743561718315953792562257807963963097948750828070727630669<98>

84255988346597288556253493717403632237<38>
349735366961811153509787877603007820159003619423532854256737<60>

prp38 = 84255988346597288556253493717403632237
prp60 = 349735366961811153509787877603007820159003619423532854256737

Yafu

19872189475963373358060812073802719146030913971042620576747167238028566017104403279060387217641499<98>

2499040925971787761043473355204849799268603<43>
7951926384813321382714271941757650911650267895788219233<55>

prp43 = 2499040925971787761043473355204849799268603
prp55 = 7951926384813321382714271941757650911650267895788219233

Yafu

95920409355778210845378051402165985940657929025278097136406259079546553242262157157950548801787635159964698748000023855814603<125>

677831709917113951522109904909404448653<39>
141510655155846087325663029434862003922743271367386949895212614242771666445112561556151<87>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 95920409355778210845378051402165985940657929025278097136406259079546553242262157157950548801787635159964698748000023855814603 (125 digits)
Using B1=13280000, B2=46845604270, polynomial Dickson(12), sigma=1:3961342041
Step 1 took 20024ms
Step 2 took 10196ms
********** Factor found in step 2: 677831709917113951522109904909404448653
Found prime factor of 39 digits: 677831709917113951522109904909404448653
Prime cofactor 141510655155846087325663029434862003922743271367386949895212614242771666445112561556151 has 87 digits

1613119219635964320703398193455097508138790234575906488318781097683475327002171121280141545388429997401260107<109>

2402339287626809367362496147133724843219628094181<49>
671478515938317291037414460892538161141245880846641825825647<60>

Number: n
N=1613119219635964320703398193455097508138790234575906488318781097683475327002171121280141545388429997401260107  ( 109 digits)
SNFS difficulty: 146 digits.
Divisors found:

Fri Jul 29 08:46:24 2022  p49 factor: 2402339287626809367362496147133724843219628094181
Fri Jul 29 08:46:24 2022  p60 factor: 671478515938317291037414460892538161141245880846641825825647
Fri Jul 29 08:46:24 2022  elapsed time 00:03:02 (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 = 35x10^145-44 = 38(144)4
#
n: 1613119219635964320703398193455097508138790234575906488318781097683475327002171121280141545388429997401260107
m: 1000000000000000000000000000000000000
deg: 4
c4: 175
c0: -22
skew: 0.60
# Murphy_E = 2.141e-09
type: snfs
lss: 1
rlim: 1920000
alim: 1920000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1920000/1920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6560000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 336137 hash collisions in 5247995 relations (5533639 unique)
Msieve: matrix is 296989 x 297214 (102.4 MB)

Sieving start time : 2022/07/29 08:24:45
Sieving end time  : 2022/07/29 08:43:11

Total sieving time: 0hrs 18min 26secs.

Total relation processing time: 0hrs 1min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 12sec.

Prototype def-par.txt line would be:
snfs,146,4,0,0,0,0,0,0,0,0,1920000,1920000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] 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)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

160870538977376448883361880462543678789622219017720310297400165790274779270632896714055275580341127708000635688974254374797<123>

82338729035397823979693820114898084542596296903147<50>
1953765146268136032778714022650844591775174985006406208778693538129806951<73>

N=160870538977376448883361880462543678789622219017720310297400165790274779270632896714055275580341127708000635688974254374797
  ( 123 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=82338729035397823979693820114898084542596296903147 (pp50)
 r2=1953765146268136032778714022650844591775174985006406208778693538129806951 (pp73)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.25 hours.
Scaled time: 72.35 units (timescale=7.819).
Factorization parameters were as follows:
n: 160870538977376448883361880462543678789622219017720310297400165790274779270632896714055275580341127708000635688974254374797
m: 5000000000000000000000000000000000000
deg: 4
c4: 7
c0: -55
skew: 1.67
# Murphy_E = 2.126e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 287568 x 287794
Total sieving time: 9.20 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,147.000,4,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 9.25 hours.

GNFS, Msieve

9455798765960313029732110159810557119435726730605063016363865020913861774776190429365158698610369458211860447524933596758054057981<130>

501820973351606207779276573443329250554811487073<48>
18842972430598286194228053958107111882788894771785438087448926253791425750065530397<83>

N=9455798765960313029732110159810557119435726730605063016363865020913861774776190429365158698610369458211860447524933596758054057981
  ( 130 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=501820973351606207779276573443329250554811487073 (pp48)
 r2=18842972430598286194228053958107111882788894771785438087448926253791425750065530397 (pp83)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.98 hours.
Scaled time: 54.56 units (timescale=7.813).
Factorization parameters were as follows:
n: 9455798765960313029732110159810557119435726730605063016363865020913861774776190429365158698610369458211860447524933596758054057981
m: 500000000000000000000000000000
deg: 5
c5: 14
c0: -55
skew: 1.31
# Murphy_E = 1.481e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 396848 x 397080
Total sieving time: 6.91 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 6.98 hours.

GNFS, Msieve

16483647083337155673483164295458605331604378568969507885458216610941167204208245689849132621051318396947262169661470253139<122>

112298051023242938098618085815593017518821662023<48>
146784801099757694171411116329426578954581079542863340041579554923224595093<75>

N=16483647083337155673483164295458605331604378568969507885458216610941167204208245689849132621051318396947262169661470253139
  ( 122 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=112298051023242938098618085815593017518821662023 (pp48)
 r2=146784801099757694171411116329426578954581079542863340041579554923224595093 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.54 hours.
Scaled time: 74.51 units (timescale=7.813).
Factorization parameters were as follows:
n: 16483647083337155673483164295458605331604378568969507885458216610941167204208245689849132621051318396947262169661470253139
m: 1000000000000000000000000000000
deg: 5
c5: 175
c0: -22
skew: 0.66
# Murphy_E = 1.144e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 374799 x 375024
Total sieving time: 9.46 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 9.54 hours.

GNFS, Msieve

2698645466167100449868856301088687646486119074929538004488842979100435179589299647926477759960456843593407135599630443973913555629544086988990419981<148>

783138464550433751288238868660825473337562981<45>
3445936559528176440975416701148495859593563641322941292343566268928357897470129158756621100764897797001<103>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2698645466167100449868856301088687646486119074929538004488842979100435179589299647926477759960456843593407135599630443973913555629544086988990419981 (148 digits)
Using B1=15950000, B2=58558467250, polynomial Dickson(12), sigma=1:2492741112
Step 1 took 30790ms
Step 2 took 14467ms
********** Factor found in step 2: 783138464550433751288238868660825473337562981
Found prime factor of 45 digits: 783138464550433751288238868660825473337562981
Prime cofactor 3445936559528176440975416701148495859593563641322941292343566268928357897470129158756621100764897797001 has 103 digits

12930768784246918441800564231482376970293573025327648053650708797222831528503375295870775204883200342845019612483578109041697621518960201<137>

358822032531796047058152282496614382671510889<45>
36036719074938892517065247979121358541870664309785452417968625148507569687142555145717859809<92>

Number: n
N=12930768784246918441800564231482376970293573025327648053650708797222831528503375295870775204883200342845019612483578109041697621518960201  ( 137 digits)
SNFS difficulty: 159 digits.
Divisors found:

Thu Aug 11 00:54:58 2022  p45 factor: 358822032531796047058152282496614382671510889
Thu Aug 11 00:54:58 2022  p92 factor: 36036719074938892517065247979121358541870664309785452417968625148507569687142555145717859809
Thu Aug 11 00:54:58 2022  elapsed time 00:07:14 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 35x10^158-44 = 38(157)4
#
n: 12930768784246918441800564231482376970293573025327648053650708797222831528503375295870775204883200342845019612483578109041697621518960201
m: 50000000000000000000000000000000
deg: 5
c5: 14
c0: -55
skew: 1.31
# Murphy_E = 6.132e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1469312 hash collisions in 13659278 relations (13013196 unique)
Msieve: matrix is 433730 x 433959 (145.5 MB)

Sieving start time : 2022/08/11 00:15:55
Sieving end time  : 2022/08/11 00:47:26

Total sieving time: 0hrs 31min 31secs.

Total relation processing time: 0hrs 2min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 19sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] 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)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

278662786906397039510594454540202853449242851706922918427122349245599848278374484473077909124258062677<102>

189260859985025121347668024769856304629257564681<48>
1472374092183907770850697427899050218662086386354395117<55>

N=278662786906397039510594454540202853449242851706922918427122349245599848278374484473077909124258062677
  ( 102 digits)
Divisors found:
p48 factor: 189260859985025121347668024769856304629257564681
p55 factor: 1472374092183907770850697427899050218662086386354395117
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.86 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 278662786906397039510594454540202853449242851706922918427122349245599848278374484473077909124258062677
skew: 1217522.24
c0: -5398603319222936277777821097
c1: 2050937899890161865759
c2: -7226570266864633
c3: 2708163106
c4: 10920
Y0: -2247572984942535490668557
Y1: 23461835305651
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2080000/2080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1040000, 1440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 226497 x 226725
Total sieving time: 1.81 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,101,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2080000,2080000,26,26,52,52,2.5,2.5,100000
total time: 1.86 hours.
 --------- CPU info (if available) ----------

3536639586112121579564286002990986621397679964431510448243805828382037912776363121943332929145952063376581383129218705792005173598480255446424962612667232529<157>

71023961370865163571395460384270913148333<41>
49795020129120696244145120154727238577411524789050825614606479260899403344669238720646147922980343624409435104087413<116>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1049575706 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 3536639586112121579564286002990986621397679964431510448243805828382037912776363121943332929145952063376581383129218705792005173598480255446424962612667232529 (157 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1049575706
Step 1 took 4719ms
Step 2 took 4219ms
********** Factor found in step 2: 71023961370865163571395460384270913148333
Found probable prime factor of 41 digits: 71023961370865163571395460384270913148333
Probable prime cofactor 49795020129120696244145120154727238577411524789050825614606479260899403344669238720646147922980343624409435104087413 has 116 digits

3918049747223483209644672255552256432216261215963808009880760838148433858553481493403007700650843173<100>

6330813872919095663250817007132418538207<40>
618885632380295654485117851334985219167444924507235507113339<60>

N=3918049747223483209644672255552256432216261215963808009880760838148433858553481493403007700650843173
  ( 100 digits)
Divisors found:
Vp40 factor: 6330813872919095663250817007132418538207
p60 factor: 618885632380295654485117851334985219167444924507235507113339
ersion: Msieve v. 1.54 (SVN 1043M)
Total time: 1.38 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3918049747223483209644672255552256432216261215963808009880760838148433858553481493403007700650843173
skew: 320530.83
c0: 16838349435817012946176272
c1: -865739470491592188765
c2: 3009053892942140
c3: 12136291316
c4: 13860
Y0: -729164864613347299329769
Y1: 7249750445059
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 200740 x 200966
Total sieving time: 1.34 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000
total time: 1.38 hours.
 --------- CPU info (if available) ----------

16276143505610634334905585780063550907409926392551428100767659979267229234773020883661502014639717058629476510961290123<119>

4589809013733379514673702179883404144891<40>
3546148316173948348083251574348002390449663385215784606154730975654910537099953<79>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 16276143505610634334905585780063550907409926392551428100767659979267229234773020883661502014639717058629476510961290123 (119 digits)
Using B1=12140000, B2=35134690510, polynomial Dickson(12), sigma=1:3208995774
Step 1 took 18392ms
Step 2 took 8544ms
********** Factor found in step 2: 4589809013733379514673702179883404144891
Found prime factor of 40 digits: 4589809013733379514673702179883404144891
Prime cofactor 3546148316173948348083251574348002390449663385215784606154730975654910537099953 has 79 digits

592634851950273239002319155527867899099349306513214108420603270203855299687544300703949578105548319826048214416322178034290758621734168552147486113203882563803111<162>

110036741412946803580593227931182722125648384722563371632230643<63>
5385790639930241204515938312872179898041632136977009676159142349251366021631775605216436645928905277<100>

Number: n
N=592634851950273239002319155527867899099349306513214108420603270203855299687544300703949578105548319826048214416322178034290758621734168552147486113203882563803111  ( 162 digits)
SNFS difficulty: 172 digits.
Divisors found:

Fri Jul 29 11:38:24 2022  p63 factor: 110036741412946803580593227931182722125648384722563371632230643
Fri Jul 29 11:38:24 2022  p100 factor: 5385790639930241204515938312872179898041632136977009676159142349251366021631775605216436645928905277
Fri Jul 29 11:38:24 2022  elapsed time 00:16:51 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 35x10^171-44 = 38(170)4
#
n: 592634851950273239002319155527867899099349306513214108420603270203855299687544300703949578105548319826048214416322178034290758621734168552147486113203882563803111
m: 10000000000000000000000000000000000
deg: 5
c5: 175
c0: -22
skew: 0.66
# Murphy_E = 1.906e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1190291 hash collisions in 11545096 relations (11046179 unique)
Msieve: matrix is 814313 x 814539 (283.8 MB)

Sieving start time : 2022/07/29 10:43:31
Sieving end time  : 2022/07/29 11:21:17

Total sieving time: 0hrs 37min 46secs.

Total relation processing time: 0hrs 10min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 54sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] 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)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

105231650248941040620552233217897532279009855469102445860158685460309819886811435910087578548977645109623605311605390378247519293059586522940290611630129<153>

4317231281941503787232422776633293060483387161577<49>
24374800277463308282345093792104203234916073952094380915796669897435746523233469658001287193444340903177<104>

Number: n
N=105231650248941040620552233217897532279009855469102445860158685460309819886811435910087578548977645109623605311605390378247519293059586522940290611630129  ( 153 digits)
SNFS difficulty: 172 digits.
Divisors found:

Mon Aug  1 14:24:20 2022  p49 factor: 4317231281941503787232422776633293060483387161577
Mon Aug  1 14:24:20 2022  p104 factor: 24374800277463308282345093792104203234916073952094380915796669897435746523233469658001287193444340903177
Mon Aug  1 14:24:20 2022  elapsed time 00:20:44 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 35x10^172-44 = 38(171)4
#
n: 105231650248941040620552233217897532279009855469102445860158685460309819886811435910087578548977645109623605311605390378247519293059586522940290611630129
m: 10000000000000000000000000000000000
deg: 5
c5: 875
c0: -11
skew: 0.42
# Murphy_E = 1.838e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 44250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 947521 hash collisions in 11690086 relations (11503564 unique)
Msieve: matrix is 987619 x 987844 (345.4 MB)

Sieving start time : 2022/08/01 08:52:27
Sieving end time  : 2022/08/01 14:02:55

Total sieving time: 5hrs 10min 28secs.

Total relation processing time: 0hrs 16min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 20sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] 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)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

1611492726585639901970793764197826377214687635443487323182076606071569547138302009339766603136172837415876054239368957584829609273245060108429123780257612426612409<163>

407893278701124933100073886312786717492601743723221419164155183<63>
3950770485155325873922637822610313233050124962652224877765374077919443748566356360060646823057590423<100>

Number: n
N=1611492726585639901970793764197826377214687635443487323182076606071569547138302009339766603136172837415876054239368957584829609273245060108429123780257612426612409  ( 163 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sun Jul 31 07:05:28 2022  p63 factor: 407893278701124933100073886312786717492601743723221419164155183
Sun Jul 31 07:05:28 2022  p100 factor: 3950770485155325873922637822610313233050124962652224877765374077919443748566356360060646823057590423
Sun Jul 31 07:05:28 2022  elapsed time 00:28:03 (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 = 35x10^174-44 = 38(173)4
#
n: 1611492726585639901970793764197826377214687635443487323182076606071569547138302009339766603136172837415876054239368957584829609273245060108429123780257612426612409
m: 50000000000000000000000000000000000
deg: 5
c5: 28
c0: -11
skew: 0.83
# Murphy_E = 1.561e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 73300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 910444 hash collisions in 11949787 relations (11833628 unique)
Msieve: matrix is 1148379 x 1148602 (397.6 MB)

Sieving start time : 2022/07/30 22:32:32
Sieving end time  : 2022/07/31 06:36:32

Total sieving time: 8hrs 4min 0secs.

Total relation processing time: 0hrs 22min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] 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)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

82278503067353309189022828497118889314766388424543373167184226292181669776226165538813150608524846001427936533022047723224099336518840988812415919<146>

2605323491060362971490012622028874926071551949<46>
31580916285319361610002702175563366837399458629863345796547468572927773514855606267459515972883719531<101>

Number: n
N=82278503067353309189022828497118889314766388424543373167184226292181669776226165538813150608524846001427936533022047723224099336518840988812415919  ( 146 digits)
SNFS difficulty: 176 digits.
Divisors found:

Tue Aug  2 17:33:05 2022  p46 factor: 2605323491060362971490012622028874926071551949
Tue Aug  2 17:33:05 2022  p101 factor: 31580916285319361610002702175563366837399458629863345796547468572927773514855606267459515972883719531
Tue Aug  2 17:33:05 2022  elapsed time 00:22:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 35x10^175-44 = 38(174)4
#
n: 82278503067353309189022828497118889314766388424543373167184226292181669776226165538813150608524846001427936533022047723224099336518840988812415919
m: 100000000000000000000000000000000000
deg: 5
c5: 35
c0: -44
skew: 1.05
# Murphy_E = 1.264e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 29750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1262716 hash collisions in 11995338 relations (11447497 unique)
Msieve: matrix is 1034471 x 1034696 (359.8 MB)

Sieving start time : 2022/08/02 14:05:05
Sieving end time  : 2022/08/02 17:10:05

Total sieving time: 3hrs 5min 0secs.

Total relation processing time: 0hrs 18min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] 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)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

2673177855810130684180472561020783667598185135255314605996344253616206264480795386198892925540204182518229469069911605187700314582625132142819063711360092424131470003110357<172>

767112554337272756023059259924713950783872180864321<51>
3484727033465844170783037190710462242454032523410761463109226429839962497643800564512833220368739514434147902764512768917<121>

Number: n
N=2673177855810130684180472561020783667598185135255314605996344253616206264480795386198892925540204182518229469069911605187700314582625132142819063711360092424131470003110357  ( 172 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat Jul 30 16:28:00 2022  p51 factor: 767112554337272756023059259924713950783872180864321
Sat Jul 30 16:28:00 2022  p121 factor: 3484727033465844170783037190710462242454032523410761463109226429839962497643800564512833220368739514434147902764512768917
Sat Jul 30 16:28:00 2022  elapsed time 00:23:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 35x10^ 178-44 = 38(177)4
#
n: 2673177855810130684180472561020783667598185135255314605996344253616206264480795386198892925540204182518229469069911605187700314582625132142819063711360092424131470003110357
m: 500000000000000000000000000000000000
deg: 5
c5: 14
c0: -55
skew: 1.31
# Murphy_E = 9.919e-11
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3954513 hash collisions in 28748292 relations (26274392 unique)
Msieve: matrix is 1006792 x 1007019 (343.9 MB)

Sieving start time : 2022/07/30 13:10:02
Sieving end time  : 2022/07/30 16:03:28

Total sieving time: 2hrs 53min 26secs.

Total relation processing time: 0hrs 15min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] 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)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

31203348418723358733347858067656710562186027987732957811968767283631642392026578551728628805476485174087694706532930882701672787626576403811370957273223592927868434679299<170>

794321898231215001445718515568320814544639349<45>
574604429661136642425364362427935620824469534494297<51>
68365295491771497272170418592191682840200314149413048185285961980647644783<74>

Number: n
N=31203348418723358733347858067656710562186027987732957811968767283631642392026578551728628805476485174087694706532930882701672787626576403811370957273223592927868434679299  ( 170 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sun Jul 31 14:07:20 2022  found factor: 574604429661136642425364362427935620824469534494297
Sun Jul 31 14:10:24 2022  p45 factor: 794321898231215001445718515568320814544639349
Sun Jul 31 14:10:24 2022  p51 factor: 574604429661136642425364362427935620824469534494297
Sun Jul 31 14:10:24 2022  p74 factor: 68365295491771497272170418592191682840200314149413048185285961980647644783
Sun Jul 31 14:10:24 2022  elapsed time 00:50:02 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 35x10^ 179-44 = 38(178)4
#
n: 31203348418723358733347858067656710562186027987732957811968767283631642392026578551728628805476485174087694706532930882701672787626576403811370957273223592927868434679299
m: 500000000000000000000000000000000000
deg: 5
c5: 28
c0: -11
skew: 0.83
# Murphy_E = 9.824e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1187569 hash collisions in 11864954 relations (11399224 unique)
Msieve: matrix is 1415877 x 1416103 (493.8 MB)

Sieving start time : 2022/07/31 09:41:03
Sieving end time  : 2022/07/31 13:19:49

Total sieving time: 3hrs 38min 46secs.

Total relation processing time: 0hrs 37min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 15sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] 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)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

62341628066602192607275868187330562989922338496281574223341522141122943317613346793974592648353359001564523302608114575594959779947777167226483445809032906011599887<164>

1210971809703665191850531422144333270647204986270611<52>
51480660050920346466920117922299871062412314763019411067025273020569628652263535033441229500736232568783879754517<113>

Number: n
N=62341628066602192607275868187330562989922338496281574223341522141122943317613346793974592648353359001564523302608114575594959779947777167226483445809032906011599887  ( 164 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Aug  5 15:13:50 2022  p52 factor: 1210971809703665191850531422144333270647204986270611
Fri Aug  5 15:13:50 2022  p113 factor: 51480660050920346466920117922299871062412314763019411067025273020569628652263535033441229500736232568783879754517
Fri Aug  5 15:13:50 2022  elapsed time 00:14:52 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 35x10^180-44 = 38(179)4
#
n: 62341628066602192607275868187330562989922338496281574223341522141122943317613346793974592648353359001564523302608114575594959779947777167226483445809032906011599887
m: 1000000000000000000000000000000000000
deg: 5
c5: 35
c0: -44
skew: 1.05
# Murphy_E = 7.949e-11
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 8300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1567147 hash collisions in 12537396 relations (11659647 unique)
Msieve: matrix is 814681 x 814906 (282.3 MB)

Sieving start time : 2022/08/05 12:26:48
Sieving end time  : 2022/08/05 14:58:41

Total sieving time: 2hrs 31min 53secs.

Total relation processing time: 0hrs 9min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 44sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] 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)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

124910197679999492252085283122077349935034108596045086674666003300508891696467392346960712440268614406109423969587927837738725348772258371941205661<147>

1762760257905517657701683758040939131811160002881<49>
70860570585143385356243264985372993043624582568576472095113136728024775501722270876324459368268381<98>

Fri Aug 19 20:39:27 2022  
Fri Aug 19 20:39:27 2022  
Fri Aug 19 20:39:27 2022  Msieve v. 1.54 (SVN Unversioned directory)
Fri Aug 19 20:39:27 2022  random seeds: 641fa0ec 0101a128
Fri Aug 19 20:39:27 2022  factoring 124910197679999492252085283122077349935034108596045086674666003300508891696467392346960712440268614406109423969587927837738725348772258371941205661 (147 digits)
Fri Aug 19 20:39:27 2022  searching for 15-digit factors
Fri Aug 19 20:39:27 2022  commencing number field sieve (147-digit input)
Fri Aug 19 20:39:27 2022  R0: -1000000000000000000000000000000000000
Fri Aug 19 20:39:27 2022  R1: 1
Fri Aug 19 20:39:27 2022  A0: -22
Fri Aug 19 20:39:27 2022  A1: 0
Fri Aug 19 20:39:27 2022  A2: 0
Fri Aug 19 20:39:27 2022  A3: 0
Fri Aug 19 20:39:27 2022  A4: 0
Fri Aug 19 20:39:27 2022  A5: 175
Fri Aug 19 20:39:27 2022  skew 0.66, size 8.580e-13, alpha 0.491, combined = 7.564e-11 rroots = 1
Fri Aug 19 20:39:27 2022  
Fri Aug 19 20:39:27 2022  commencing relation filtering
Fri Aug 19 20:39:27 2022  setting target matrix density to 70.0
Fri Aug 19 20:39:27 2022  estimated available RAM is 32010.3 MB
Fri Aug 19 20:39:27 2022  commencing duplicate removal, pass 1
Fri Aug 19 20:40:38 2022  found 2263056 hash collisions in 18667438 relations
Fri Aug 19 20:40:46 2022  commencing duplicate removal, pass 2
Fri Aug 19 20:40:50 2022  found 1944581 duplicates and 16722857 unique relations
Fri Aug 19 20:40:50 2022  memory use: 98.6 MB
Fri Aug 19 20:40:50 2022  reading ideals above 720000
Fri Aug 19 20:40:50 2022  commencing singleton removal, initial pass
Fri Aug 19 20:41:50 2022  memory use: 376.5 MB
Fri Aug 19 20:41:50 2022  reading all ideals from disk
Fri Aug 19 20:41:51 2022  memory use: 515.2 MB
Fri Aug 19 20:41:51 2022  keeping 19167730 ideals with weight <= 200, target excess is 116148
Fri Aug 19 20:41:52 2022  commencing in-memory singleton removal
Fri Aug 19 20:41:52 2022  begin with 16722857 relations and 19167730 unique ideals
Fri Aug 19 20:41:56 2022  reduce to 5883760 relations and 5733715 ideals in 20 passes
Fri Aug 19 20:41:56 2022  max relations containing the same ideal: 90
Fri Aug 19 20:41:58 2022  relations with 0 large ideals: 2911
Fri Aug 19 20:41:58 2022  relations with 1 large ideals: 1310
Fri Aug 19 20:41:58 2022  relations with 2 large ideals: 22710
Fri Aug 19 20:41:58 2022  relations with 3 large ideals: 160923
Fri Aug 19 20:41:58 2022  relations with 4 large ideals: 615251
Fri Aug 19 20:41:58 2022  relations with 5 large ideals: 1342158
Fri Aug 19 20:41:58 2022  relations with 6 large ideals: 1785561
Fri Aug 19 20:41:58 2022  relations with 7+ large ideals: 1952936
Fri Aug 19 20:41:58 2022  commencing 2-way merge
Fri Aug 19 20:42:00 2022  reduce to 3309104 relation sets and 3159767 unique ideals
Fri Aug 19 20:42:00 2022  ignored 708 oversize relation sets
Fri Aug 19 20:42:00 2022  commencing full merge
Fri Aug 19 20:42:27 2022  memory use: 356.3 MB
Fri Aug 19 20:42:27 2022  found 1606707 cycles, need 1595967
Fri Aug 19 20:42:27 2022  weight of 1595967 cycles is about 111778195 (70.04/cycle)
Fri Aug 19 20:42:27 2022  distribution of cycle lengths:
Fri Aug 19 20:42:27 2022  1 relations: 233528
Fri Aug 19 20:42:27 2022  2 relations: 204890
Fri Aug 19 20:42:27 2022  3 relations: 194194
Fri Aug 19 20:42:27 2022  4 relations: 167741
Fri Aug 19 20:42:27 2022  5 relations: 142821
Fri Aug 19 20:42:27 2022  6 relations: 117909
Fri Aug 19 20:42:27 2022  7 relations: 99438
Fri Aug 19 20:42:27 2022  8 relations: 80450
Fri Aug 19 20:42:27 2022  9 relations: 64930
Fri Aug 19 20:42:27 2022  10+ relations: 290066
Fri Aug 19 20:42:27 2022  heaviest cycle: 28 relations
Fri Aug 19 20:42:28 2022  commencing cycle optimization
Fri Aug 19 20:42:29 2022  start with 9311036 relations
Fri Aug 19 20:42:35 2022  pruned 188105 relations
Fri Aug 19 20:42:35 2022  memory use: 317.9 MB
Fri Aug 19 20:42:35 2022  distribution of cycle lengths:
Fri Aug 19 20:42:35 2022  1 relations: 233528
Fri Aug 19 20:42:35 2022  2 relations: 209098
Fri Aug 19 20:42:35 2022  3 relations: 199947
Fri Aug 19 20:42:35 2022  4 relations: 170676
Fri Aug 19 20:42:35 2022  5 relations: 145081
Fri Aug 19 20:42:35 2022  6 relations: 118539
Fri Aug 19 20:42:35 2022  7 relations: 99135
Fri Aug 19 20:42:35 2022  8 relations: 79633
Fri Aug 19 20:42:35 2022  9 relations: 63629
Fri Aug 19 20:42:35 2022  10+ relations: 276701
Fri Aug 19 20:42:35 2022  heaviest cycle: 27 relations
Fri Aug 19 20:42:36 2022  RelProcTime: 189
Fri Aug 19 20:42:36 2022  elapsed time 00:03:09

Fri Aug 19 20:50:14 2022  commencing linear algebra
Fri Aug 19 20:50:14 2022  skipping matrix build
Fri Aug 19 20:50:14 2022  matrix starts at (0, 0)
Fri Aug 19 20:50:14 2022  matrix is 1590084 x 1590284 (478.3 MB) with weight 141568729 (89.02/col)
Fri Aug 19 20:50:14 2022  sparse part has weight 107898334 (67.85/col)
Fri Aug 19 20:50:14 2022  saving the first 48 matrix rows for later
Fri Aug 19 20:50:15 2022  matrix includes 64 packed rows
Fri Aug 19 20:50:15 2022  matrix is 1590036 x 1590284 (455.1 MB) with weight 112596479 (70.80/col)
Fri Aug 19 20:50:15 2022  sparse part has weight 103403488 (65.02/col)
Fri Aug 19 20:50:15 2022  using block size 8192 and superblock size 6291456 for processor cache size 65536 kB
Fri Aug 19 20:50:17 2022  commencing Lanczos iteration (24 threads)
Fri Aug 19 20:50:17 2022  memory use: 437.9 MB
Fri Aug 19 20:50:18 2022  linear algebra at 0.1%, ETA 0h17m
Fri Aug 19 20:50:18 2022  checkpointing every 7310000 dimensions
Fri Aug 19 21:06:40 2022  lanczos halted after 25148 iterations (dim = 1590035)
Fri Aug 19 21:06:41 2022  recovered 39 nontrivial dependencies
Fri Aug 19 21:06:41 2022  BLanczosTime: 987
Fri Aug 19 21:06:41 2022  elapsed time 00:16:27

Sat Aug 20 01:30:42 2022  commencing square root phase
Sat Aug 20 01:30:42 2022  Sqrt: Handling dependencies 1 to 64
Sat Aug 20 01:30:42 2022  Sqrt: getting relations for each dependency
Sat Aug 20 01:30:42 2022  Sqrt: Assigning space for 1590284 cycles for 64 dependencies
Sat Aug 20 01:30:43 2022  Sqrt: For dependency 1, read 794473 cycles
Sat Aug 20 01:30:43 2022  Sqrt: For dependency 2, read 794241 cycles
Sat Aug 20 01:30:43 2022  Sqrt: For dependency 3, read 795492 cycles
Sat Aug 20 01:30:43 2022  Sqrt: For dependency 4, read 795929 cycles
...
Sat Aug 20 01:30:43 2022  Sqrt: For dependency 36, read 794993 cycles
Sat Aug 20 01:30:43 2022  Sqrt: For dependency 37, read 795366 cycles
Sat Aug 20 01:30:43 2022  Sqrt: For dependency 38, read 794635 cycles
Sat Aug 20 01:30:43 2022  Sqrt: For dependency 39, read 796260 cycles
Sat Aug 20 01:30:57 2022  Sqrt: cycles contain 5428029 unique relations
Sat Aug 20 01:31:14 2022  Sqrt: read 5428029 relations in total
Sat Aug 20 01:31:14 2022  Sqrt: Dependency 1 has 2715744 relations
Sat Aug 20 01:31:14 2022  Sqrt: Dependency 2 has 2715606 relations
Sat Aug 20 01:31:14 2022  Sqrt: Dependency 3 has 2712650 relations
Sat Aug 20 01:31:14 2022  Sqrt: Dependency 4 has 2713082 relations
...
Sat Aug 20 01:31:14 2022  Sqrt: Dependency 36 has 2713082 relations
Sat Aug 20 01:31:14 2022  Sqrt: Dependency 37 has 2714438 relations
Sat Aug 20 01:31:14 2022  Sqrt: Dependency 38 has 2718476 relations
Sat Aug 20 01:31:14 2022  Sqrt: Dependency 39 has 2716642 relations
Sat Aug 20 01:31:15 2022  Sqrt: initializing threads
Sat Aug 20 01:31:17 2022  Sqrt using 24 threads
Sat Aug 20 01:31:17 2022  Sqrt: Adding dependencies 1 to 24 to the task pool
Sat Aug 20 01:31:17 2022  Sqrt: Thread 8 working on dependency 1
Sat Aug 20 01:31:17 2022  Sqrt: Thread 21 working on dependency 7
Sat Aug 20 01:31:17 2022  Sqrt: Thread 16 working on dependency 8
Sat Aug 20 01:31:17 2022  Sqrt: Thread 5 working on dependency 2
...
Sat Aug 20 01:31:17 2022  Sqrt: Thread 0 working on dependency 9
Sat Aug 20 01:31:17 2022  Sqrt: Thread 17 working on dependency 18
Sat Aug 20 01:31:17 2022  Sqrt: Thread 10 working on dependency 24
Sat Aug 20 01:31:24 2022  Sqrt: Thread 12 beginning algebraic square root for dependency 4
Sat Aug 20 01:31:24 2022  multiplying 2713082 relations
Sat Aug 20 01:31:24 2022  Sqrt: Thread 22 beginning algebraic square root for dependency 23
Sat Aug 20 01:31:24 2022  multiplying 2715250 relations
Sat Aug 20 01:31:24 2022  Sqrt: Thread 19 beginning algebraic square root for dependency 15
Sat Aug 20 01:31:24 2022  multiplying 2712196 relations
Sat Aug 20 01:31:24 2022  Sqrt: Thread 3 beginning algebraic square root for dependency 17
Sat Aug 20 01:31:24 2022  multiplying 2716714 relations
...
Sat Aug 20 01:31:27 2022  Sqrt: Thread 23 beginning algebraic square root for dependency 16
Sat Aug 20 01:31:27 2022  multiplying 2716710 relations
Sat Aug 20 01:31:27 2022  Sqrt: Thread 5 beginning algebraic square root for dependency 2
Sat Aug 20 01:31:27 2022  multiplying 2715606 relations
Sat Aug 20 01:31:27 2022  Sqrt: Thread 14 beginning algebraic square root for dependency 6
Sat Aug 20 01:31:27 2022  multiplying 2718476 relations
Sat Aug 20 01:31:27 2022  Sqrt: Thread 1 beginning algebraic square root for dependency 22
Sat Aug 20 01:31:27 2022  multiplying 2716612 relations
Sat Aug 20 01:32:09 2022  multiply complete, coefficients have about 79.78 million bits
Sat Aug 20 01:32:09 2022  initial square root is modulo 532801
Sat Aug 20 01:32:16 2022  multiply complete, coefficients have about 79.84 million bits
Sat Aug 20 01:32:16 2022  initial square root is modulo 538471
Sat Aug 20 01:32:16 2022  multiply complete, coefficients have about 79.87 million bits
Sat Aug 20 01:32:16 2022  initial square root is modulo 540541
Sat Aug 20 01:32:17 2022  multiply complete, coefficients have about 79.77 million bits
Sat Aug 20 01:32:17 2022  initial square root is modulo 531731
Sat Aug 20 01:32:20 2022  multiply complete, coefficients have about 79.75 million bits
Sat Aug 20 01:32:20 2022  initial square root is modulo 530641
...
Sat Aug 20 01:32:39 2022  multiply complete, coefficients have about 79.84 million bits
Sat Aug 20 01:32:39 2022  initial square root is modulo 537811
Sat Aug 20 01:32:39 2022  multiply complete, coefficients have about 79.77 million bits
Sat Aug 20 01:32:39 2022  initial square root is modulo 532391
Sat Aug 20 01:32:39 2022  multiply complete, coefficients have about 79.79 million bits
Sat Aug 20 01:32:39 2022  initial square root is modulo 533641
Sat Aug 20 01:33:04 2022  Sqrt: Thread 12 beginning congruence of squares for dependency 4
Sat Aug 20 01:33:04 2022  Sqrt: Thread 12: dependency 4, GCD is 1, no factor found
Sat Aug 20 01:33:04 2022  Sqrt: Thread 12 shutting down dep_task 4
Sat Aug 20 01:33:11 2022  Sqrt: Thread 13 beginning congruence of squares for dependency 20
Sat Aug 20 01:33:11 2022  Sqrt: Thread 13: dependency 20, GCD is 1, no factor found
Sat Aug 20 01:33:11 2022  Sqrt: Thread 13 shutting down dep_task 20
Sat Aug 20 01:33:16 2022  Sqrt: Thread 18 beginning congruence of squares for dependency 14
Sat Aug 20 01:33:16 2022  Sqrt: Thread 18 shutting down dep_task 14
Sat Aug 20 01:33:16 2022  Sqrt: Thread 20 beginning congruence of squares for dependency 12
Sat Aug 20 01:33:16 2022  Sqrt: Thread 20 shutting down dep_task 12
...
Sat Aug 20 01:33:46 2022  Sqrt: Thread 5 beginning congruence of squares for dependency 2
Sat Aug 20 01:33:46 2022  Sqrt: Thread 5 shutting down dep_task 2
Sat Aug 20 01:33:46 2022  Sqrt: Thread 1 beginning congruence of squares for dependency 22
Sat Aug 20 01:33:46 2022  Sqrt: Thread 1 shutting down dep_task 22
Sat Aug 20 01:33:47 2022  Sqrt: Thread 7 beginning congruence of squares for dependency 10
Sat Aug 20 01:33:47 2022  Sqrt: Thread 7 shutting down dep_task 10
Sat Aug 20 01:33:47 2022  sqrtTime: 185
Sat Aug 20 01:33:47 2022  p49 factor: 1762760257905517657701683758040939131811160002881
Sat Aug 20 01:33:47 2022  p98 factor: 70860570585143385356243264985372993043624582568576472095113136728024775501722270876324459368268381
Sat Aug 20 01:33:47 2022  elapsed time 00:03:05

msieve (nfs@home build)

Ryzen 9 5950X

15634642987306593231404005264124491155890022568036350301853984721361696003790461180243889657568564569313479120829899828601197107665560355708598394642554049302180748450159<170>

34534569017464107690590755975627437675064853<44>
527524421625893314931365384588714554406205260360357731448847<60>
858205627906693825898758229038582984950600763847732485411864461149<66>

Number: n
N=15634642987306593231404005264124491155890022568036350301853984721361696003790461180243889657568564569313479120829899828601197107665560355708598394642554049302180748450159  ( 170 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sun Aug  7 01:05:42 2022  found factor: 858205627906693825898758229038582984950600763847732485411864461149
Sun Aug  7 01:06:49 2022  p44 factor: 34534569017464107690590755975627437675064853
Sun Aug  7 01:06:49 2022  p60 factor: 527524421625893314931365384588714554406205260360357731448847
Sun Aug  7 01:06:49 2022  p66 factor: 858205627906693825898758229038582984950600763847732485411864461149
Sun Aug  7 01:06:49 2022  elapsed time 00:17:23 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 35x10^182-44 = 38(181)4
#
n: 15634642987306593231404005264124491155890022568036350301853984721361696003790461180243889657568564569313479120829899828601197107665560355708598394642554049302180748450159
m: 1000000000000000000000000000000000000
deg: 5
c5: 875
c0: -11
skew: 0.42
# Murphy_E = 7.286e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1433097 hash collisions in 11903086 relations (11135359 unique)
Msieve: matrix is 883349 x 883574 (309.0 MB)

Sieving start time : 2022/08/06 21:03:23
Sieving end time  : 2022/08/07 00:48:48

Total sieving time: 3hrs 45min 25secs.

Total relation processing time: 0hrs 12min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] 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)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

6631625913241204512446273408976311150127808484100506345480728836151168026377348912424718730008016309403925968014645055296770564918274494895580692070417105017139531910284939365339<178>

310388782160260183032899013405732777435582792617<48>
366386423348000343854909688010361803558321104947<48>
58314241449013280407841705753560225329704973251184790442049258031917222817005058961<83>

Number: n
N=6631625913241204512446273408976311150127808484100506345480728836151168026377348912424718730008016309403925968014645055296770564918274494895580692070417105017139531910284939365339  ( 178 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Aug  5 08:48:49 2022  found factor: 366386423348000343854909688010361803558321104947
Fri Aug  5 08:50:07 2022  p48 factor: 310388782160260183032899013405732777435582792617
Fri Aug  5 08:50:07 2022  p48 factor: 366386423348000343854909688010361803558321104947
Fri Aug  5 08:50:07 2022  p83 factor: 58314241449013280407841705753560225329704973251184790442049258031917222817005058961
Fri Aug  5 08:50:07 2022  elapsed time 00:25:13 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 35x10^184-44 = 38(183)4
#
n: 6631625913241204512446273408976311150127808484100506345480728836151168026377348912424718730008016309403925968014645055296770564918274494895580692070417105017139531910284939365339
m: 5000000000000000000000000000000000000
deg: 5
c5: 28
c0: -11
skew: 0.83
# Murphy_E = 6.157e-11
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1397534 hash collisions in 11935042 relations (11215276 unique)
Msieve: matrix is 1077571 x 1077796 (376.2 MB)

Sieving start time : 2022/08/05 04:13:59
Sieving end time  : 2022/08/05 08:24:20

Total sieving time: 4hrs 10min 21secs.

Total relation processing time: 0hrs 19min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 37sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] 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)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

559600698278545103770748578896299486805565432891298091468658735093607004945678440190044508579380993379699789471755438594483738490844122526755982424353442500696271<162>

39323778664030166406061563455029921775118854980324577<53>
14230593226037485915725196846480403395301271771749373056691581167030908338448207593854714887437818752483503023<110>

Number: n
N=559600698278545103770748578896299486805565432891298091468658735093607004945678440190044508579380993379699789471755438594483738490844122526755982424353442500696271  ( 162 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sun Aug 14 05:41:19 2022  p53 factor: 39323778664030166406061563455029921775118854980324577
Sun Aug 14 05:41:19 2022  p110 factor: 14230593226037485915725196846480403395301271771749373056691581167030908338448207593854714887437818752483503023
Sun Aug 14 05:41:19 2022  elapsed time 00:28:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 35x10^186-44 = 38(185)4
#
n: 559600698278545103770748578896299486805565432891298091468658735093607004945678440190044508579380993379699789471755438594483738490844122526755982424353442500696271
m: 10000000000000000000000000000000000000
deg: 5
c5: 175
c0: -22
skew: 0.66
# Murphy_E = 4.733e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3142381 hash collisions in 28586117 relations (27148488 unique)
Msieve: matrix is 1076780 x 1077005 (373.6 MB)

Sieving start time : 2022/08/14 01:43:26
Sieving end time  : 2022/08/14 05:12:20

Total sieving time: 3hrs 28min 54secs.

Total relation processing time: 0hrs 20min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 18sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

96841634598251095417232498503105019495604496550777665994862412939370496172265219907983845708587473451557600850878270618690767505923941133567302722522707979861367049716835060434713797<182>

13826631613846061470854989940371425899031279207563613<53>
7003993257567763231031291984245114932034031254040560030658158305774874432931018271221302965753405956811945052852311335887823186569<130>

Number: n
N=96841634598251095417232498503105019495604496550777665994862412939370496172265219907983845708587473451557600850878270618690767505923941133567302722522707979861367049716835060434713797  ( 182 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Aug  4 22:10:16 2022  p53 factor: 13826631613846061470854989940371425899031279207563613
Thu Aug  4 22:10:16 2022  p130 factor: 7003993257567763231031291984245114932034031254040560030658158305774874432931018271221302965753405956811945052852311335887823186569
Thu Aug  4 22:10:16 2022  elapsed time 00:29:46 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 35x10^187-44 = 38(186)4
#
n: 96841634598251095417232498503105019495604496550777665994862412939370496172265219907983845708587473451557600850878270618690767505923941133567302722522707979861367049716835060434713797
m: 10000000000000000000000000000000000000
deg: 5
c5: 875
c0: -11
skew: 0.42
# Murphy_E = 4.557e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3181536 hash collisions in 28447236 relations (26946435 unique)
Msieve: matrix is 1124627 x 1124851 (392.4 MB)

Sieving start time : 2022/08/04 17:38:45
Sieving end time  : 2022/08/04 21:40:01

Total sieving time: 4hrs 1min 16secs.

Total relation processing time: 0hrs 21min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] 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)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

381287989084095266568891353534450328480691990202598135575812188081913558483237250938872650378130924534478957761700933127185079760871860523720623013244463164595314218996046501098784833<183>

1399868022873822749238561831047270107897589343719951217885470301533446919<73>
272374240181113630147675654162291960299706936726643085515188939159741049991582369168751303054340558443416895607<111>

Number: n
N=381287989084095266568891353534450328480691990202598135575812188081913558483237250938872650378130924534478957761700933127185079760871860523720623013244463164595314218996046501098784833  ( 183 digits)
SNFS difficulty: 189 digits.
Divisors found:

Tue Aug  9 23:10:00 2022  p73 factor: 1399868022873822749238561831047270107897589343719951217885470301533446919
Tue Aug  9 23:10:00 2022  p111 factor: 272374240181113630147675654162291960299706936726643085515188939159741049991582369168751303054340558443416895607
Tue Aug  9 23:10:00 2022  elapsed time 00:27:12 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 35x10^189-44 = 38(188)4
#
n: 381287989084095266568891353534450328480691990202598135575812188081913558483237250938872650378130924534478957761700933127185079760871860523720623013244463164595314218996046501098784833
m: 50000000000000000000000000000000000000
deg: 5
c5: 28
c0: -11
skew: 0.83
# Murphy_E = 3.842e-11
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 30350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1873077 hash collisions in 12690512 relations (11432786 unique)
Msieve: matrix is 1113444 x 1113670 (383.1 MB)

Sieving start time : 2022/08/09 14:11:44
Sieving end time  : 2022/08/09 22:42:12

Total sieving time: 8hrs 30min 28secs.

Total relation processing time: 0hrs 20min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 23sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,6300000,6300000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] 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)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

115768517939040874516627188769295080256727446733906248600379669753948245548023487583773956184740349717832967645364161452412855123232099<135>

169654376478040388338023728620029671512555750334771<51>
682378611989568355416734534675857829681926449575811263129231890500133941805202909969<84>

115768517939040874516627188769295080256727446733906248600379669753948245548023487583773956184740349717832967645364161452412855123232099=169654376478040388338023728620029671512555750334771*682378611989568355416734534675857829681926449575811263129231890500133941805202909969

cado polynomial
n: 115768517939040874516627188769295080256727446733906248600379669753948245548023487583773956184740349717832967645364161452412855123232099
skew: 56124.657
c0: -93529370279672982928874082552
c1: -7302230819337769021253122
c2: -5721237879204013712187
c3: -1398356381821937
c4: 919196264160
c5: -3326400
Y0: -62664275278796636212551370
Y1: 30813925305553335163
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.303e-07
# f(x) = -3326400*x^5+919196264160*x^4-1398356381821937*x^3-5721237879204013712187*x^2-7302230819337769021253122*x-93529370279672982928874082552
# g(x) = 30813925305553335163*x-62664275278796636212551370

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: 169654376478040388338023728620029671512555750334771 682378611989568355416734534675857829681926449575811263129231890500133941805202909969
Info:Square Root: Total cpu/real time for sqrt: 509.36/150.704
Info:Generate Free Relations: Total cpu/real time for freerel: 249.3/63.1933
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.09/91.0561
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.9s
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): 53747/40.240/48.176/53.560/0.968
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43966/38.620/43.008/49.040/1.053
Info:Polynomial Selection (size optimized): Total time: 11119.3
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 193.82/164.459
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 150.8s
Info:Quadratic Characters: Total cpu/real time for characters: 45.77/19.1849
Info:Linear Algebra: Total cpu/real time for bwc: 28865.1/7405.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 18388.96, WCT time 4703.11, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Linear Algebra: Lingen CPU time 259.12, WCT time 65.82
Info:Linear Algebra: Mksol: CPU time 9980.53,  WCT time 2549.5, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21248 iterations)
Info:Square Root: Total cpu/real time for sqrt: 509.36/150.704
Info:Generate Factor Base: Total cpu/real time for makefb: 15.18/4.03551
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.11/94.6834
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6576.96
Info:Polynomial Selection (root optimized): Rootsieve time: 6574.47
Info:Filtering - Merging: Merged matrix has 1352740 rows and total weight 231185400 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 365.86/101.598
Info:Filtering - Merging: Total cpu/real time for replay: 50.44/42.9503
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17019602
Info:Lattice Sieving: Average J: 3800.47 for 643443 special-q, max bucket fill -bkmult 1.0,1s:1.274960
Info:Lattice Sieving: Total time: 325487s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 671824/77335.7
169654376478040388338023728620029671512555750334771 682378611989568355416734534675857829681926449575811263129231890500133941805202909969

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1408644044345112251218872976818172297402758626404742826108526673275274785786033304206981173343926067564212627099044978985100125966748094912102903815240648561662877729919<169>

2229679138231311196274490966312617186484372077<46>
631769845352061060778664188428429754842717084182905361399569805851078951575512628876300629931237782735117681486589692849947<123>

Number: n
N=1408644044345112251218872976818172297402758626404742826108526673275274785786033304206981173343926067564212627099044978985100125966748094912102903815240648561662877729919  ( 169 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Aug 18 09:18:09 2022  p46 factor: 2229679138231311196274490966312617186484372077
Thu Aug 18 09:18:09 2022  p123 factor: 631769845352061060778664188428429754842717084182905361399569805851078951575512628876300629931237782735117681486589692849947
Thu Aug 18 09:18:09 2022  elapsed time 01:12:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 35x10^197-44 = 38(196)4
#
n: 1408644044345112251218872976818172297402758626404742826108526673275274785786033304206981173343926067564212627099044978985100125966748094912102903815240648561662877729919
m: 1000000000000000000000000000000000000000
deg: 5
c5: 875
c0: -11
skew: 0.42
# Murphy_E = 1.76e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3634400 hash collisions in 28642287 relations (26575154 unique)
Msieve: matrix is 1767807 x 1768032 (618.8 MB)

Sieving start time : 2022/08/18 00:59:48
Sieving end time  : 2022/08/18 08:05:00

Total sieving time: 7hrs 5min 12secs.

Total relation processing time: 1hrs 1min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 31sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

970948229973794474818367697037661070004942128712812720521622550374610455937361087632710071659273320678694792417300466638550014894392699022264783656552950284395509558449685780928691<180>

13014748022200184227286897018428024894588882062918332800850947418148900104757899838601<86>
74603690237996064733593766729701777929840551228044195016654947638156526320269378106948678016091<95>

Number: n
N=970948229973794474818367697037661070004942128712812720521622550374610455937361087632710071659273320678694792417300466638550014894392699022264783656552950284395509558449685780928691  ( 180 digits)
SNFS difficulty: 199 digits.
Divisors found:

Wed Aug 31 02:29:28 2022  p86 factor: 13014748022200184227286897018428024894588882062918332800850947418148900104757899838601
Wed Aug 31 02:29:28 2022  p95 factor: 74603690237996064733593766729701777929840551228044195016654947638156526320269378106948678016091
Wed Aug 31 02:29:28 2022  elapsed time 01:29:36 (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 = 35x10^198-44 = 38(197)4
#
n: 970948229973794474818367697037661070004942128712812720521622550374610455937361087632710071659273320678694792417300466638550014894392699022264783656552950284395509558449685780928691
m: 5000000000000000000000000000000000000000
deg: 5
c5: 14
c0: -55
skew: 1.31
# Murphy_E = 1.494e-11
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3549101 hash collisions in 27455154 relations (25369611 unique)
Msieve: matrix is 2020451 x 2020676 (706.2 MB)

Sieving start time : 2022/08/30 17:25:33
Sieving end time  : 2022/08/31 00:59:09

Total sieving time: 7hrs 33min 36secs.

Total relation processing time: 1hrs 19min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 26sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14900000,14900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

69775756324084274445753104582406844903015159719881468315456263495569067474650025947190601867614587230318703250444313413460943502221173696255728935349200354675569<161>

1691254839036307120235953182379872923<37>

41256796263680259591711028584123408684797279127568878084993471078998196160080611841567245817579105723858621341639778441061603<125>

GPU: factor 1691254839036307120235953182379872923 found in Step 1 with curve 1762 (-sigma 3:472380563)
Computing 1792 Step 1 took 282ms of CPU time / 178460ms of GPU time
Throughput: 10.041 curves per second (on average 99.59ms per Step 1)
********** Factor found in step 1: 1691254839036307120235953182379872923
Found prime factor of 37 digits: 1691254839036307120235953182379872923
Composite cofactor 41256796263680259591711028584123408684797279127568878084993471078998196160080611841567245817579105723858621341639778441061603 has 125 digits
Peak memory usage: 9428MB

41256796263680259591711028584123408684797279127568878084993471078998196160080611841567245817579105723858621341639778441061603<125>

2873542960832446081591979369586653251<37>
14357466314590418727041198485118909939407975975978557190430215637504631176245214244464353<89>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3255088523
Step 1 took 4922ms
Step 2 took 3016ms
********** Factor found in step 2: 2873542960832446081591979369586653251
Found prime factor of 37 digits: 2873542960832446081591979369586653251
Prime cofactor 14357466314590418727041198485118909939407975975978557190430215637504631176245214244464353 has 89 digits

GMP-ECM

20622677489525205149555472077632802499192397781038288289589792817871580881145382939100244415550054440590053688331699411409683501302983649140693681862767533249<158>

73243480513073579813367580474964520149785574320918154744638085605500484674983<77>
281563319288795466544175286297299775754739185720126810926125992659285963788470103<81>

Number: n
N=20622677489525205149555472077632802499192397781038288289589792817871580881145382939100244415550054440590053688331699411409683501302983649140693681862767533249  ( 158 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri May 10 13:41:56 2024  prp77 factor: 73243480513073579813367580474964520149785574320918154744638085605500484674983
Fri May 10 13:41:56 2024  prp81 factor: 281563319288795466544175286297299775754739185720126810926125992659285963788470103
Fri May 10 13:41:56 2024  elapsed time 02:23:36 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.906).
Factorization parameters were as follows:
#
# N = 35x10^204-44 = 38(203)4
#
n: 20622677489525205149555472077632802499192397781038288289589792817871580881145382939100244415550054440590053688331699411409683501302983649140693681862767533249
m: 50000000000000000000000000000000000000000
deg: 5
c5: 28
c0: -11
skew: 0.83
# Murphy_E = 9.103e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 5020198 hash collisions in 23497858 relations (18599924 unique)
Msieve: matrix is 2120704 x 2120929 (591.9 MB)

Sieving start time: 2024/05/09 16:02:39
Sieving end time  : 2024/05/10 11:17:56

Total sieving time: 19hrs 15min 17secs.

Total relation processing time: 2hrs 12min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 53sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18200000,18200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

375259464312910856147113149957419851429587381308285478764709232652327961341205301766474180875786624843362080486628107784862002986817840904843477629354412897070490812619582843349699<180>

4766363016410277849116983489076676618598331918636026968390840809<64>
78730777118930498652444588955057219970558379661762921892910124068926087738860094329456316561991703897664170386571211<116>

Number: n
N=375259464312910856147113149957419851429587381308285478764709232652327961341205301766474180875786624843362080486628107784862002986817840904843477629354412897070490812619582843349699  ( 180 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Mar  6 20:22:22 2024  prp64 factor: 4766363016410277849116983489076676618598331918636026968390840809
Wed Mar  6 20:22:22 2024  prp116 factor: 78730777118930498652444588955057219970558379661762921892910124068926087738860094329456316561991703897664170386571211
Wed Mar  6 20:22:22 2024  elapsed time 03:51:16 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 35x10^205-44 = 38(204)4
#
n: 375259464312910856147113149957419851429587381308285478764709232652327961341205301766474180875786624843362080486628107784862002986817840904843477629354412897070490812619582843349699
m: 100000000000000000000000000000000000000000
deg: 5
c5: 35
c0: -44
skew: 1.05
# Murphy_E = 7.326e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 64100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3295233 hash collisions in 18687220 relations (15777283 unique)
Msieve: matrix is 2680679 x 2680905 (753.8 MB)

Sieving start time: 2024/03/05 10:46:30
Sieving end time  : 2024/03/06 16:30:42

Total sieving time: 29hrs 44min 12secs.

Total relation processing time: 3hrs 43min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 54sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5567636278587246961096959516040573980943246888318121114824809323576678137391411501691541956957664453959842300131951823147098831557857139677953786261210855759813449495190251712499<178>

63947029549233605861910634242501521183<38>

87066378498482954525334427315066381476108016473204703724161191925223358404300510545465143350293337302410499473822516793441336392340227860653<140>

esuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 16:27:26 2022 
Input number is 5567636278587246961096959516040573980943246888318121114824809323576678137391411501691541956957664453959842300131951823147098831557857139677953786261210855759813449495190251712499 (178 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2613552658
Step 1 took 0ms
Step 2 took 2935ms
********** Factor found in step 2: 63947029549233605861910634242501521183
Found prime factor of 38 digits: 63947029549233605861910634242501521183
Composite cofactor 87066378498482954525334427315066381476108016473204703724161191925223358404300510545465143350293337302410499473822516793441336392340227860653 has 140 digits

87066378498482954525334427315066381476108016473204703724161191925223358404300510545465143350293337302410499473822516793441336392340227860653<140>

1288329481396114497058674883698589073632739414696106434143<58>
67580832198400346291740546197741442274615569328351504927415788641727265991732755571<83>

67580832198400346291740546197741442274615569328351504927415788641727265991732755571 1288329481396114497058674883698589073632739414696106434143

CADO-NFS

10 x Xeon L5640, Debian sid amd64

11386370732322821307290689679399118298284508845553027208084978338108640210274393452905047824397774092793891577798493300754974812377639493564000147834916613045202253442230359889<176>

813543015889916753056455187195114688551729419098086931<54>
13996027880428082367903447606344845989437992337732011544941166940360449952700198547908689430734099108456643600031171662219<122>

Number: n
N=11386370732322821307290689679399118298284508845553027208084978338108640210274393452905047824397774092793891577798493300754974812377639493564000147834916613045202253442230359889  ( 176 digits)
SNFS difficulty: 209 digits.
Divisors found:

Mon Dec  2 10:44:43 2024  prp54 factor: 813543015889916753056455187195114688551729419098086931
Mon Dec  2 10:44:43 2024  prp122 factor: 13996027880428082367903447606344845989437992337732011544941166940360449952700198547908689430734099108456643600031171662219
Mon Dec  2 10:44:43 2024  elapsed time 02:50:57 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.133).
Factorization parameters were as follows:
#
# N = 35x10^209-44 = 38(208)4
#
n: 11386370732322821307290689679399118298284508845553027208084978338108640210274393452905047824397774092793891577798493300754974812377639493564000147834916613045202253442230359889
m: 50000000000000000000000000000000000
deg: 6
c6: 56
c0: -11
skew: 0.76
# Murphy_E = 5.798e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 66850000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9269989 hash collisions in 29304504 relations (17899957 unique)
Msieve: matrix is 2316129 x 2316354 (650.5 MB)

Sieving start time: 2024/11/30 19:59:14
Sieving end time  : 2024/12/02 07:46:29

Total sieving time: 35hrs 47min 15secs.

Total relation processing time: 2hrs 41min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 20sec.

Prototype def-par.txt line would be:
snfs,209,6,0,0,0,0,0,0,0,0,22000000,22000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2242671714376610755242771654005162041758176037778727010238688805688346717224816007004659643336153360247996430262694408316162907495251367616818646048069478376109132580117879753034078158977660683566262163<202>

32407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407<212>

6824374934140254035452895144475763243<37>
4748772996818080867646820468830810573418553611984708835501956664303677784738744604123358209723650268771305007480783664296675854859812262932234258140983469545745973483029409549<175>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 15:39:57 2022 
Input number is 32407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407 (212 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3608338060
Step 1 took 0ms
Step 2 took 5739ms
********** Factor found in step 2: 6824374934140254035452895144475763243
Found prime factor of 37 digits: 6824374934140254035452895144475763243
Prime cofactor 4748772996818080867646820468830810573418553611984708835501956664303677784738744604123358209723650268771305007480783664296675854859812262932234258140983469545745973483029409549 has 175 digits

479016167705732969440996663695662741238105167258415312516240341942157355150830165774316904383455250001290962698895184951370835605350039957061444615741952580168522585729464997<174>

20117322682514197815859764137745183607822085960433072335821027065673903893140422607666413318622161466961145952832471311859058988958580209934925124629351955060937157677<167>

11055894813584978134598885818508957801860675508855455862972607915009861858173717800496062206150109990359259722553899066629771566260188796777490956278042487487885898111400459672518077967433756237104088406725521933<212>

5390584276767406679717538431814234878426862675852104667655116346894671721459084118662352023344425696737836554777991069663840376825120227648247013359855055971<157>

9631044604850509231411917442872182741685160039635163977005425887631615988494795253676647084433376190691072077684199522302841046556315864863652515236242168132418850592229354077500375249<184>

299722608806223457357913325396642571<36>

32133193565912034299231980616734882808466688626119897958464718279185552574076275947642050490374250175674517801016531275438191041343337053661164678419<149>

Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Sat Sep  3 00:10:07 2022 
Input number is 9631044604850509231411917442872182741685160039635163977005425887631615988494795253676647084433376190691072077684199522302841046556315864863652515236242168132418850592229354077500375249 (184 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:364559349
Step 1 took 0ms
Step 2 took 3080ms
********** Factor found in step 2: 299722608806223457357913325396642571
Found prime factor of 36 digits: 299722608806223457357913325396642571
Composite cofactor 32133193565912034299231980616734882808466688626119897958464718279185552574076275947642050490374250175674517801016531275438191041343337053661164678419 has 149 digits

32133193565912034299231980616734882808466688626119897958464718279185552574076275947642050490374250175674517801016531275438191041343337053661164678419<149>

185123122766081414716377937252703727412883058941<48>

173577417481850812519898830007535220652792094600548506434015528145052684032148427520274656795432794959<102>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2521599943
Step 1 took 21547ms
Step 2 took 10812ms
********** Factor found in step 2: 185123122766081414716377937252703727412883058941
Found prime factor of 48 digits: 185123122766081414716377937252703727412883058941
Composite cofactor 173577417481850812519898830007535220652792094600548506434015528145052684032148427520274656795432794959 has 102 digits

GMP-ECM

173577417481850812519898830007535220652792094600548506434015528145052684032148427520274656795432794959<102>

141788965096185880700168377562311573961395587761<48>
1224195531465375229847337025905530240992108414541227519<55>

N=173577417481850812519898830007535220652792094600548506434015528145052684032148427520274656795432794959
  ( 102 digits)
Divisors found:
 r1=141788965096185880700168377562311573961395587761 (pp48)
 r2=1224195531465375229847337025905530240992108414541227519 (pp55)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.95 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 173577417481850812519898830007535220652792094600548506434015528145052684032148427520274656795432794959
skew: 1565383.28
c0: 14844532045587434642992342352
c1: -10364472661254269413700
c2: -39412543634362887
c3: -9536928570
c4: 9240
Y0: -2081880591419300143416147
Y1: 9355771034629
rlim: 2080000
alim: 2080000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2080000/2080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1040000, 1440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 251614 x 251840
Total sieving time: 2.86 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,101,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2080000,2080000,26,26,52,52,2.5,2.5,100000
total time: 2.95 hours.
 --------- CPU info (if available) ----------

3083108475553995036839279843445597081978745384554884634874966581722792887852746145474824743272417907998667061684041800835580425551542076040098122818157548653779132169507<169>

100784251581932960395505139401491926854621777922996009540934715705226722232665846677113300675288032718653590672332999945245211897544869139419387747411778423<156>

190948466985307767310282360795714633032686558111465479106494847417547417930625579978565140538233770194525051931144222127314688573292706424984362048916194629617189586631808393429833783581924688467804820923<204>

234867341879697665358325630128643999639<39>

813005611836464860623287393931169196385652603665222643320472442029455843210246596157821617500921602580448886493762537435282752516863807393589818843523021857891698557<165>

Resuming ECM residue saved by @c1478d8e6f5d with GMP-ECM 7.0.5-dev on Wed Feb  7 22:14:56 2024 
Input number is 190948466985307767310282360795714633032686558111465479106494847417547417930625579978565140538233770194525051931144222127314688573292706424984362048916194629617189586631808393429833783581924688467804820923 (204 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:70910063
Step 1 took 0ms
Step 2 took 8909ms
********** Factor found in step 2: 234867341879697665358325630128643999639
Found prime factor of 39 digits: 234867341879697665358325630128643999639
Composite cofactor 813005611836464860623287393931169196385652603665222643320472442029455843210246596157821617500921602580448886493762537435282752516863807393589818843523021857891698557 has 165 digits

6464325215659064334751650530709426367127891271516941036805363271348900939052967470780653447441492674983345914980993410540384776613337263933275521668264312016998316739208876033840850944978735941<193>

2907109455886650693987850866152433150948855893582423440944443988098081505595010278331494989990012758380859830467442349889481248869515082960971873903243<151>

946677708954345877958862227590348279253207914995324314208625788616544129261617902935343666524560064911138057192529529856537323944192439786931534231495842099183770966141812521618787085238220867546970870703517277<210>

5402506331654646328355663501788767047513<40>

175229356679791852517555436238596683443586922439857337962978296124510051683323663436373571219572385489931220693287573938852737287951243329334730777282049612472330096433829<171>

Resuming ECM residue saved by @c1478d8e6f5d with GMP-ECM 7.0.5-dev on Wed Feb  7 23:30:07 2024 
Input number is 946677708954345877958862227590348279253207914995324314208625788616544129261617902935343666524560064911138057192529529856537323944192439786931534231495842099183770966141812521618787085238220867546970870703517277 (210 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3765074200
Step 1 took 0ms
Step 2 took 8935ms
********** Factor found in step 2: 5402506331654646328355663501788767047513
Found prime factor of 40 digits: 5402506331654646328355663501788767047513
Composite cofactor 175229356679791852517555436238596683443586922439857337962978296124510051683323663436373571219572385489931220693287573938852737287951243329334730777282049612472330096433829 has 171 digits

2424833504527815839298804797570272711352016401518310251119077627740360717214895013694846283021285408009750609031554835705475192536008579356534559720858247161635111818652407160339444010747140849434149674945138554787<214>

117857658790599492352514198577134655697511266372524927345019630213402582242745132905193845066756128051792534569269373784874830686762348339092401502357829877031292572759998791394829867347856666900209948123<204>

14070965160101401059723846887544510429857483407791469861605115611016153975524845977551513754944367211289800111790937694880137811833789865214568334079234306016356717517258945944293045023969521<191>

3232502650515095378522539782986149450505111113<46>

4352963224286671449446517427716448105075993322289130559333386387027577127986095007136765128783845123812819639643957384265418498299464807807866217<145>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 19:54:45 2022 
Input number is 14070965160101401059723846887544510429857483407791469861605115611016153975524845977551513754944367211289800111790937694880137811833789865214568334079234306016356717517258945944293045023969521 (191 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3727907788
Step 1 took 0ms
Step 2 took 3127ms
********** Factor found in step 2: 3232502650515095378522539782986149450505111113
Found prime factor of 46 digits: 3232502650515095378522539782986149450505111113
Composite cofactor 4352963224286671449446517427716448105075993322289130559333386387027577127986095007136765128783845123812819639643957384265418498299464807807866217 has 145 digits

4352963224286671449446517427716448105075993322289130559333386387027577127986095007136765128783845123812819639643957384265418498299464807807866217<145>

452044757948644100929883720518057913384389367597<48>
9629496079194005117045700138993676044742991297813478489930003881953267428549067332348794497932461<97>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2300498273
Step 1 took 80953ms
Step 2 took 27953ms
********** Factor found in step 2: 452044757948644100929883720518057913384389367597
Found prime factor of 48 digits: 452044757948644100929883720518057913384389367597
Prime cofactor 9629496079194005117045700138993676044742991297813478489930003881953267428549067332348794497932461 has 97 digits
 

GMP-ECM

5106178477249679103337892782241477366312146183864493184930224859043912657313012540421424390302575534895022645373499760950238545120771642572104557688189905551677072329182440521397<178>

15072223677888896207965964265695773269217317222469492252894009111088187862983079683996344272712841573645358382359419401405969100653349437465528322176964407491105583589522942688981038936323894830235420176794993116939<215>

20146989547367057743726873895355685814700280206265923977999693782889043356030242588159473565482963413930300024105777241082617601855029333392567226941819158399408903526803021476605307605189566649<194>

1166473872846702640651385746121578133<37>

17271702364151249281865808510659307014058226458909067716406351836616695857219169618752202379403902282102512610276756018983908653252259880462034120906032303253<158>

GPU: factor 1166473872846702640651385746121578133 found in Step 1 with curve 721 (-sigma 3:-713287264)
Computing 1792 Step 1 took 308ms of CPU time / 175463ms of GPU time
Throughput: 10.213 curves per second (on average 97.91ms per Step 1)
********** Factor found in step 1: 1166473872846702640651385746121578133
Found prime factor of 37 digits: 1166473872846702640651385746121578133
Composite cofactor 17271702364151249281865808510659307014058226458909067716406351836616695857219169618752202379403902282102512610276756018983908653252259880462034120906032303253 has 158 digits
Peak memory usage: 9428MB

17271702364151249281865808510659307014058226458909067716406351836616695857219169618752202379403902282102512610276756018983908653252259880462034120906032303253<158>

212131495011935885085630670274047713928439<42>

81419792771363026464556602992594390464466252497199954724351692293687434581336731486958580889799156050302671201948627<116>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1140458552
Step 1 took 5109ms
Step 2 took 3141ms
********** Factor found in step 2: 212131495011935885085630670274047713928439
Found prime factor of 42 digits: 212131495011935885085630670274047713928439
Composite cofactor 81419792771363026464556602992594390464466252497199954724351692293687434581336731486958580889799156050302671201948627 has 116 digits

GMP-ECM

81419792771363026464556602992594390464466252497199954724351692293687434581336731486958580889799156050302671201948627<116>

208042304595249653784267400054593813861647027<45>
391361713329252026073031888405886176254933248449801321373676972760840801<72>

81419792771363026464556602992594390464466252497199954724351692293687434581336731486958580889799156050302671201948627=208042304595249653784267400054593813861647027*391361713329252026073031888405886176254933248449801321373676972760840801

cado polynomial
n: 81419792771363026464556602992594390464466252497199954724351692293687434581336731486958580889799156050302671201948627
skew: 7900.631
c0: 599133744590597943356340
c1: -189336692884053378279
c2: -712090885967422528
c3: 758350180125
c4: 3349538154
c5: 185400
Y0: -15275086338918698714482
Y1: 47551723149045011
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.633e-07
# f(x) = 185400*x^5+3349538154*x^4+758350180125*x^3-712090885967422528*x^2-189336692884053378279*x+599133744590597943356340
# g(x) = 47551723149045011*x-15275086338918698714482

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: 208042304595249653784267400054593813861647027 391361713329252026073031888405886176254933248449801321373676972760840801
Info:Square Root: Total cpu/real time for sqrt: 428.19/124.099
Info:Filtering - Singleton removal: Total cpu/real time for purge: 97.84/109.716
Info:Filtering - Merging: Merged matrix has 466694 rows and total weight 72447453 (155.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 75.82/22.3538
Info:Filtering - Merging: Total cpu/real time for replay: 15.72/12.8207
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7453076
Info:Lattice Sieving: Average J: 1886.62 for 180729 special-q, max bucket fill -bkmult 1.0,1s:1.258500
Info:Lattice Sieving: Total time: 19636s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 307.8
Info:Polynomial Selection (root optimized): Rootsieve time: 306.69
Info:Linear Algebra: Total cpu/real time for bwc: 2807.32/724.55
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1735.87, WCT time 444.63, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14720 iterations)
Info:Linear Algebra: Lingen CPU time 74.75, WCT time 19.06
Info:Linear Algebra: Mksol: CPU time 957.82,  WCT time 244.7, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
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): 21631/34.180/41.394/47.810/1.083
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17096/33.020/36.629/41.830/0.851
Info:Polynomial Selection (size optimized): Total time: 1781.15
Info:Generate Factor Base: Total cpu/real time for makefb: 4.2/1.17047
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.82/138.552
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 104.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 63.92/16.6111
Info:Square Root: Total cpu/real time for sqrt: 428.19/124.099
Info:Quadratic Characters: Total cpu/real time for characters: 16.95/6.74422
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.67/31.5277
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.700000000000003s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 41902.2/11453.7
Info:root: Cleaning up computation data in /tmp/cado.83wdlho5
208042304595249653784267400054593813861647027 391361713329252026073031888405886176254933248449801321373676972760840801

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)

6382620953552607535056270256060564476080791635261238848666308432044045168654433280491321132650716774214224316080511913252079606188684490723862143784078075024423578035623851664333282634679655552208674586274457933288599436961<223>

1085248314685466359198974031695495277461839009749743032944108471835209014942918049808671538907063720517661233464031106959877868500555492678670655186064440827365546160952670429949910118968842357054821<199>

2268672680816610626005315236492439288317978550917486626608072249945298719715988851668555050700642000091122038326889289969161408028659323403403358944382021764356588391619246294649507186262208340470309<199>

10093444544034874614038629107777099107569796228735773053691020938611048278394533227315541975283007570794452263872471569813850504557481588164841829152963082821349304720611515237795628752574440324321830535971469278544409<218>

9722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<244>

1675114653185569299543312578653846376345369239213975392148689351569382147286496115643465212857774593647181931182926558659221716634119363392288638673803677312673475875677959145336744202712618685256765606651799869107401<217>

1993764683286535250808829823966519741440173199448342478738702639003555556992354091358108104846988636700369842563261611526636713196772994255863429124295305336091292431700314902241479794923056186641343762742619749<211>

1418915645324576797689082709391652663698887<43>

1405132637627983726234214989958732231422644390117458236977520478428747328427278590064927149864286272267530842215144962825507715550207380705744986364192602864822209485427<169>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 20:27:16 2022 
Input number is 1993764683286535250808829823966519741440173199448342478738702639003555556992354091358108104846988636700369842563261611526636713196772994255863429124295305336091292431700314902241479794923056186641343762742619749 (211 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2575150503
Step 1 took 0ms
Step 2 took 3540ms
********** Factor found in step 2: 1418915645324576797689082709391652663698887
Found prime factor of 43 digits: 1418915645324576797689082709391652663698887
Composite cofactor 1405132637627983726234214989958732231422644390117458236977520478428747328427278590064927149864286272267530842215144962825507715550207380705744986364192602864822209485427 has 169 digits

1435053983417362891581345384101217701835974585727495718926451307065325325482644827593208305412701381476793974030308727344765219083302612270765810349780193348066089906490997110616845748955858404400493233587398329<211>

5136466015370884662386138218088570798359<40>

279385472253288743900915813129429071956251051874536099311097608271246765688984242735495890477113055940946804449139153415341560844126515864877342254551206337394334456518831<171>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4232924698
Step 1 took 60400ms
********** Factor found in step 1: 5136466015370884662386138218088570798359
Found prime factor of 40 digits: 5136466015370884662386138218088570798359
Composite cofactor 279385472253288743900915813129429071956251051874536099311097608271246765688984242735495890477113055940946804449139153415341560844126515864877342254551206337394334456518831 has 171 digits

279385472253288743900915813129429071956251051874536099311097608271246765688984242735495890477113055940946804449139153415341560844126515864877342254551206337394334456518831<171>

71225788303861544362379100673649980280797<41>
3922532539217143497558921001575692957342462329264475658784707161125457486220831162058822890212840974584118291652491987792449046523<130>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1464533974
Step 1 took 26344ms
Step 2 took 12125ms
********** Factor found in step 2: 71225788303861544362379100673649980280797
Found prime factor of 41 digits: 71225788303861544362379100673649980280797
Prime cofactor 3922532539217143497558921001575692957342462329264475658784707161125457486220831162058822890212840974584118291652491987792449046523 has 130 digits
 

GMP-ECM

50370127881667291899339093322414075411107887784548624967203678577323715517877227021962025303861441656208249821324577399753547719418503937072313462995280624336495203266816284031056239707641376025606913414400021309055666116163<224>

143322452910880644770137947484103204726942008736185420719378908246634602620297212963427619819705610577746928636665481549261095870568121246454004995689281961842125058955611127337963461914214862100280146982196207837102730023509040759563<234>

1707114271827303266094159204842156783040997202491<49>
83955980730843288523696607048579375608219685426939697145353577237428205083326838825225276651803871862836593586414099948416707846787199464357537947951951823947635399051230469422805146993<185>

Resuming ECM residue saved by @2a9dc5264329 with GMP-ECM 7.0.5-dev on Sun Mar 24 00:30:38 2024 
Input number is 143322452910880644770137947484103204726942008736185420719378908246634602620297212963427619819705610577746928636665481549261095870568121246454004995689281961842125058955611127337963461914214862100280146982196207837102730023509040759563 (234 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1194315325
Step 1 took 0ms
Step 2 took 32832ms
********** Factor found in step 2: 1707114271827303266094159204842156783040997202491
Found prime factor of 49 digits: 1707114271827303266094159204842156783040997202491
Prime cofactor 83955980730843288523696607048579375608219685426939697145353577237428205083326838825225276651803871862836593586414099948416707846787199464357537947951951823947635399051230469422805146993 has 185 digits

96445868527129346915616985772392869059232774517917219568095934943041054229049153058671673894210473117044668661747917284789439170046855405594773104992946240065657728591129412464053338932124735878665111208699844631<212>

4102126777610990711948133545505571454563984504018567480443042425214830762664665440791231605244644317479354081501929947038190401061776229842977878976003405295358256486586338444812717138162012851752794179735169313315167<217>

7113546928574671009998198327759116959<37>
576664049425611464840127142371820370628031334549900941672336591875400707441670835236242292073312324448902749405042178437634408258841118448551113901158399940246675259320586876373313<180>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 17:01:30 2022 
Input number is 4102126777610990711948133545505571454563984504018567480443042425214830762664665440791231605244644317479354081501929947038190401061776229842977878976003405295358256486586338444812717138162012851752794179735169313315167 (217 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2821907582
Step 1 took 0ms
Step 2 took 5867ms
********** Factor found in step 2: 7113546928574671009998198327759116959
Found prime factor of 37 digits: 7113546928574671009998198327759116959
Prime cofactor 576664049425611464840127142371820370628031334549900941672336591875400707441670835236242292073312324448902749405042178437634408258841118448551113901158399940246675259320586876373313 has 180 digits

2422112621418178009632522581698981974938840600999664467755915620376212733442666914130822850959969617144296455864424055956984396581027932846371048064009059104140953853315584529039915380854097564771342296377077555184692776027<223>

72164630659932762447977387141888685143456905162267427844345261532706178958863765538767527101070913250524502482993517183408131587565306998485066182603639217780950962625098571580905945497091370376817497704238086553915936104426789<227>

766828393870104484280480112477255507791560731248459005668133392153216097803377454283450306968551513750120126290227178528456158674855482266061367246704953928305867745486719598654707189781631172123122554447843138488097<216>

48313438063399843219028449145582000351<38>

15871948356559213337169458593306324080371616248466631713660126230808036845112743008210894194706985097877636744785979124646146662420435216420029700503109328388594479495545440411647<179>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 19:51:46 2022 
Input number is 766828393870104484280480112477255507791560731248459005668133392153216097803377454283450306968551513750120126290227178528456158674855482266061367246704953928305867745486719598654707189781631172123122554447843138488097 (216 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3873155071
Step 1 took 0ms
Step 2 took 3700ms
********** Factor found in step 2: 48313438063399843219028449145582000351
Found prime factor of 38 digits: 48313438063399843219028449145582000351
Composite cofactor 15871948356559213337169458593306324080371616248466631713660126230808036845112743008210894194706985097877636744785979124646146662420435216420029700503109328388594479495545440411647 has 179 digits

506970070122145771449619542855391289362983070726794075518304605032178813335077798102210171108773463361583485809901298263080972439247946578851151620691910298804279697709256154320235665513898900351794959449522445190736852977<222>

27269675126300519599826461207352289962012633940556878210514401227066015924016997916060582920418482745820767876231074326888353849098263565184972155622301923045359263289868407720912250714939975326258910027248228510445909<218>

5702692417124092497235645920250145872102150860254377217736754837467051806569389174845675057573747200415501167498532096014359137060423702603764045380300457814037281923249663019595434615279232135424916935087347784556819172479539989311668451599617182363977<253>

1071791668197797621234948982716593784833229216428422690135841938289298007079949533923737429414862994402185230098359852521466455983047318071019978196695206947659819449037837308149291392594225798944132093729712514851970259312338465684293046215656732689033427651<259>

55948658500444636636219384620943381065008090219437<50>

19156700034001348764613665437696737049290526290703320826175801872081132683058600337641328360020679162936037551197968838267621024337969279253857856540060671719560128286522907656214757394873161685102500445963823<209>

Resuming ECM residue saved by @b6de11307b9f with GMP-ECM 7.0.5-dev on Fri Apr 12 08:50:59 2024 
Input number is 1071791668197797621234948982716593784833229216428422690135841938289298007079949533923737429414862994402185230098359852521466455983047318071019978196695206947659819449037837308149291392594225798944132093729712514851970259312338465684293046215656732689033427651 (259 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:3742166767
Step 1 took 0ms
Step 2 took 37978ms
********** Factor found in step 2: 55948658500444636636219384620943381065008090219437
Found prime factor of 50 digits: 55948658500444636636219384620943381065008090219437
Composite cofactor 19156700034001348764613665437696737049290526290703320826175801872081132683058600337641328360020679162936037551197968838267621024337969279253857856540060671719560128286522907656214757394873161685102500445963823 has 209 digits

140782076668348297193556877121294095535787572762052886099845574493564480678420663633499563296346009847298616743502503193766470771848578758156466600908106141844796077646599531943152737919359757887940011492478278186945400710057842566990210433<240>

204670243162400426148884818007833748183<39>
687848289487990893991002232091038388769530116866754343003824118626572009379928242412757927625636621769858572399335992181658062022195330793161112547860676271122690746648598869304511787187692806465275751<201>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 15:17:57 2022 
Input number is 140782076668348297193556877121294095535787572762052886099845574493564480678420663633499563296346009847298616743502503193766470771848578758156466600908106141844796077646599531943152737919359757887940011492478278186945400710057842566990210433 (240 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:290436029
Step 1 took 0ms
Step 2 took 6062ms
********** Factor found in step 2: 204670243162400426148884818007833748183
Found prime factor of 39 digits: 204670243162400426148884818007833748183
Prime cofactor 687848289487990893991002232091038388769530116866754343003824118626572009379928242412757927625636621769858572399335992181658062022195330793161112547860676271122690746648598869304511787187692806465275751 has 201 digits

972222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221<264>

19107629498659566099479007398329047142095460998660850724918608472971590421571664662626318310813168427518054753927444320854270958170030769137286255807395152348276620787407057675749612794792518213221032624051827698985590675573517873900991<236>

3197653399233111893188112512324877569480839314642098772756526690326465638357390515428011151558529431284469559340210745508459511477836836230848099593614931509184809484790197404886109247406060217181255714727577507752272406696505060631<232>

31009160404822760599414665302437220161643<41>

103119638116219056529351001961197607890137018977414559051142074975832587659547828982948151230679467918956691411798308630718610832343717677637513769578678260988155159075347055428486611120838917<192>

Resuming ECM residue saved by @73995f97f828 with GMP-ECM 7.0.5-dev on Mon Feb 12 13:39:13 2024 
Input number is 3197653399233111893188112512324877569480839314642098772756526690326465638357390515428011151558529431284469559340210745508459511477836836230848099593614931509184809484790197404886109247406060217181255714727577507752272406696505060631 (232 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4162816905
Step 1 took 0ms
Step 2 took 11087ms
********** Factor found in step 2: 31009160404822760599414665302437220161643
Found prime factor of 41 digits: 31009160404822760599414665302437220161643
Composite cofactor 103119638116219056529351001961197607890137018977414559051142074975832587659547828982948151230679467918956691411798308630718610832343717677637513769578678260988155159075347055428486611120838917 has 192 digits

69906345321927032727028442979826727236462144097547329998653984783182383310299887407924621211179918598451783773572833704533300473188745622248099356716421756714510213182733904939080702875338869547566499281513552046006161752461862428699174747247<242>

53686128580823266216629621513903236821105457160160034182994743867297535704793276409669356208455030492117073900216249264582329897421071886024816906426240183281610513637677536326620817068640907591179<197>

47630062020995905872246671687827109387394160681838278046714583700295604933555276862990894132822882569261108165224533051634613722062432705710394019102987696973088113308873985371749178445637156336278638849380425640704332606221061927496984207509<242>