4455319661536257366607924824337895998075865580219954399923231808267707112590280194465411819903<94>

3417953067185717324416177713865416718391999<43>
1303505219047577362467009294900503968671588240204097<52>

N=4455319661536257366607924824337895998075865580219954399923231808267707112590280194465411819903
  ( 94 digits)
SNFS difficulty: 104 digits.
Divisors found:
p43 factor: 3417953067185717324416177713865416718391999
p52 factor: 1303505219047577362467009294900503968671588240204097
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.08 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4455319661536257366607924824337895998075865580219954399923231808267707112590280194465411819903
m: 50000000000000000000000000
deg: 4
c4: 82
c0: 5
skew: 0.50
# Murphy_E = 2.237e-07
type: snfs
lss: 1
rlim: 390000
alim: 390000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2

Factor base limits: 390000/390000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [195000, 295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 33144 x 33371
Total sieving time: 0.08 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,104.000,4,0,0,0,0,0,0,0,0,390000,390000,25,25,44,44,2.2,2.2,10000
total time: 0.08 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

43051912891317884976039259495232343943176936808365302823603053486864392735597149782856971915873<95>

7892845617844677953875444319125085918265791569<46>
5454548964442331840612851422664042037485047916817<49>

N=43051912891317884976039259495232343943176936808365302823603053486864392735597149782856971915873
  ( 95 digits)
SNFS difficulty: 108 digits.
Divisors found:
p46 factor: 7892845617844677953875444319125085918265791569
p49 factor: 5454548964442331840612851422664042037485047916817
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.13 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 43051912891317884976039259495232343943176936808365302823603053486864392735597149782856971915873
m: 500000000000000000000000000
deg: 4
c4: 82
c0: 5
skew: 0.50
# Murphy_E = 1.474e-07
type: snfs
lss: 1
rlim: 450000
alim: 450000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 385001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 38753 x 38978
Total sieving time: 0.13 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,108.000,4,0,0,0,0,0,0,0,0,450000,450000,25,25,44,44,2.2,2.2,20000
total time: 0.13 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

45584640379503293837155414196029190019955888210469363428197282549713574804824025476770754367672305193161<104>

1617152221723254973081050509202231308209121848214701<52>
28188218627265530950094595993906850501861206743016461<53>

N=45584640379503293837155414196029190019955888210469363428197282549713574804824025476770754367672305193161
  ( 104 digits)
SNFS difficulty: 112 digits.
Divisors found:
p52 factor: 1617152221723254973081050509202231308209121848214701
p53 factor: 28188218627265530950094595993906850501861206743016461
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.19 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 45584640379503293837155414196029190019955888210469363428197282549713574804824025476770754367672305193161
m: 5000000000000000000000000000
deg: 4
c4: 82
c0: 5
skew: 0.50
# Murphy_E = 9.65e-08
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 485001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 51905 x 52133
Total sieving time: 0.18 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,112.000,4,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,20000
total time: 0.19 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

81379571400626069239486156041070947189914174957571124221773560237300893006488031656557<86>

479358747247649125606658556919713985331<39>
169767573592608873543539429423041935030667566047<48>

Wed Jun 29 18:23:11 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 18:23:11 2022  random seeds: 3820ab00 c441557e
Wed Jun 29 18:23:11 2022  factoring 81379571400626069239486156041070947189914174957571124221773560237300893006488031656557 (86 digits)
Wed Jun 29 18:23:11 2022  searching for 15-digit factors
Wed Jun 29 18:23:11 2022  commencing quadratic sieve (86-digit input)
Wed Jun 29 18:23:11 2022  using multiplier of 13
Wed Jun 29 18:23:11 2022  using generic 32kb sieve core
Wed Jun 29 18:23:11 2022  sieve interval: 17 blocks of size 32768
Wed Jun 29 18:23:11 2022  processing polynomials in batches of 12
Wed Jun 29 18:23:11 2022  using a sieve bound of 1468163 (56000 primes)
Wed Jun 29 18:23:11 2022  using large prime bound of 117453040 (26 bits)
Wed Jun 29 18:23:11 2022  using double large prime bound of 335548771103040 (41-49 bits)
Wed Jun 29 18:23:11 2022  using trial factoring cutoff of 49 bits
Wed Jun 29 18:23:11 2022  polynomial 'A' values have 11 factors
Wed Jun 29 18:48:59 2022  56542 relations (16838 full + 39704 combined from 576440 partial), need 56096
Wed Jun 29 18:49:00 2022  begin with 593278 relations
Wed Jun 29 18:49:00 2022  reduce to 131447 relations in 11 passes
Wed Jun 29 18:49:00 2022  attempting to read 131447 relations
Wed Jun 29 18:49:02 2022  recovered 131447 relations
Wed Jun 29 18:49:02 2022  recovered 106811 polynomials
Wed Jun 29 18:49:02 2022  attempting to build 56542 cycles
Wed Jun 29 18:49:02 2022  found 56542 cycles in 6 passes
Wed Jun 29 18:49:02 2022  distribution of cycle lengths:
Wed Jun 29 18:49:02 2022     length 1 : 16838
Wed Jun 29 18:49:02 2022     length 2 : 11682
Wed Jun 29 18:49:02 2022     length 3 : 9904
Wed Jun 29 18:49:02 2022     length 4 : 7106
Wed Jun 29 18:49:02 2022     length 5 : 4803
Wed Jun 29 18:49:02 2022     length 6 : 2883
Wed Jun 29 18:49:02 2022     length 7 : 1592
Wed Jun 29 18:49:02 2022     length 9+: 1734
Wed Jun 29 18:49:02 2022  largest cycle: 17 relations
Wed Jun 29 18:49:02 2022  matrix is 56000 x 56542 (13.6 MB) with weight 3101114 (54.85/col)
Wed Jun 29 18:49:02 2022  sparse part has weight 3101114 (54.85/col)
Wed Jun 29 18:49:03 2022  filtering completed in 3 passes
Wed Jun 29 18:49:03 2022  matrix is 50549 x 50612 (12.2 MB) with weight 2786831 (55.06/col)
Wed Jun 29 18:49:03 2022  sparse part has weight 2786831 (55.06/col)
Wed Jun 29 18:49:03 2022  saving the first 48 matrix rows for later
Wed Jun 29 18:49:03 2022  matrix includes 64 packed rows
Wed Jun 29 18:49:03 2022  matrix is 50501 x 50612 (8.2 MB) with weight 2186733 (43.21/col)
Wed Jun 29 18:49:03 2022  sparse part has weight 1633105 (32.27/col)
Wed Jun 29 18:49:03 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Wed Jun 29 18:49:03 2022  commencing Lanczos iteration
Wed Jun 29 18:49:03 2022  memory use: 4.9 MB
Wed Jun 29 18:49:14 2022  lanczos halted after 801 iterations (dim = 50499)
Wed Jun 29 18:49:14 2022  recovered 16 nontrivial dependencies
Wed Jun 29 18:49:15 2022  p39 factor: 479358747247649125606658556919713985331
Wed Jun 29 18:49:15 2022  p48 factor: 169767573592608873543539429423041935030667566047
Wed Jun 29 18:49:15 2022  elapsed time 00:26:04

Msieve v. 1.53

Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

3552673072803076765180190749009886823535364210911089704382215636693821752767699945451261540839941<97>

6653440418580573638323040552195568565297<40>
533960304639053805140096795681689949796486878895865733653<57>

N=3552673072803076765180190749009886823535364210911089704382215636693821752767699945451261540839941
  ( 97 digits)
SNFS difficulty: 114 digits.
Divisors found:
p40 factor: 6653440418580573638323040552195568565297
p57 factor: 533960304639053805140096795681689949796486878895865733653
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3552673072803076765180190749009886823535364210911089704382215636693821752767699945451261540839941
m: 10000000000000000000000000000
deg: 4
c4: 205
c0: 2
skew: 0.31
# Murphy_E = 5.916e-08
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71466 x 71691
Total sieving time: 0.34 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,20000
total time: 0.36 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

107277720963826438087526462506666364351559996750342439274240063685326739004940487812871590653286339027145167507<111>

5655550526560895055850735416777794482029774093835121<52>
18968572636740520825298901504294398483756759466297916646467<59>

N=107277720963826438087526462506666364351559996750342439274240063685326739004940487812871590653286339027145167507
  ( 111 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=5655550526560895055850735416777794482029774093835121 (pp52)
 r2=18968572636740520825298901504294398483756759466297916646467 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.82 hours.
Scaled time: 6.29 units (timescale=7.634).
Factorization parameters were as follows:
n: 107277720963826438087526462506666364351559996750342439274240063685326739004940487812871590653286339027145167507
m: 1000000000000000000000000000000
deg: 4
c4: 41
c0: 4
skew: 0.56
# Murphy_E = 4.15e-08
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 595001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 80376 x 80621
Total sieving time: 0.82 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,121.000,4,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,75000
total time: 0.82 hours.

GNFS, Msieve

274873174623985224756549439320422709976870670230561130832656408406529775625487<78>

118610053740373850587787778519529879721<39>
2317452576369761315552906201422146726647<40>

Wed Jun 29 16:53:28 2022  Msieve v. 1.53 (SVN 1005)
Wed Jun 29 16:53:28 2022  random seeds: a2490280 c41b017d
Wed Jun 29 16:53:28 2022  factoring 274873174623985224756549439320422709976870670230561130832656408406529775625487 (78 digits)
Wed Jun 29 16:53:28 2022  searching for 15-digit factors
Wed Jun 29 16:53:28 2022  commencing quadratic sieve (78-digit input)
Wed Jun 29 16:53:28 2022  using multiplier of 7
Wed Jun 29 16:53:28 2022  using generic 32kb sieve core
Wed Jun 29 16:53:28 2022  sieve interval: 12 blocks of size 32768
Wed Jun 29 16:53:28 2022  processing polynomials in batches of 17
Wed Jun 29 16:53:28 2022  using a sieve bound of 999269 (39154 primes)
Wed Jun 29 16:53:28 2022  using large prime bound of 99926900 (26 bits)
Wed Jun 29 16:53:28 2022  using trial factoring cutoff of 27 bits
Wed Jun 29 16:53:28 2022  polynomial 'A' values have 10 factors
Wed Jun 29 16:56:48 2022  39323 relations (20679 full + 18644 combined from 210209 partial), need 39250
Wed Jun 29 16:56:48 2022  begin with 230888 relations
Wed Jun 29 16:56:48 2022  reduce to 55641 relations in 2 passes
Wed Jun 29 16:56:48 2022  attempting to read 55641 relations
Wed Jun 29 16:56:48 2022  recovered 55641 relations
Wed Jun 29 16:56:48 2022  recovered 42466 polynomials
Wed Jun 29 16:56:48 2022  attempting to build 39323 cycles
Wed Jun 29 16:56:48 2022  found 39323 cycles in 1 passes
Wed Jun 29 16:56:48 2022  distribution of cycle lengths:
Wed Jun 29 16:56:48 2022     length 1 : 20679
Wed Jun 29 16:56:48 2022     length 2 : 18644
Wed Jun 29 16:56:48 2022  largest cycle: 2 relations
Wed Jun 29 16:56:48 2022  matrix is 39154 x 39323 (5.7 MB) with weight 1181663 (30.05/col)
Wed Jun 29 16:56:48 2022  sparse part has weight 1181663 (30.05/col)
Wed Jun 29 16:56:48 2022  filtering completed in 3 passes
Wed Jun 29 16:56:48 2022  matrix is 26857 x 26921 (4.3 MB) with weight 907549 (33.71/col)
Wed Jun 29 16:56:48 2022  sparse part has weight 907549 (33.71/col)
Wed Jun 29 16:56:48 2022  saving the first 48 matrix rows for later
Wed Jun 29 16:56:48 2022  matrix includes 64 packed rows
Wed Jun 29 16:56:48 2022  matrix is 26809 x 26921 (2.7 MB) with weight 649433 (24.12/col)
Wed Jun 29 16:56:48 2022  sparse part has weight 448052 (16.64/col)
Wed Jun 29 16:56:48 2022  commencing Lanczos iteration
Wed Jun 29 16:56:48 2022  memory use: 2.8 MB
Wed Jun 29 16:56:52 2022  lanczos halted after 426 iterations (dim = 26806)
Wed Jun 29 16:56:52 2022  recovered 16 nontrivial dependencies
Wed Jun 29 16:56:52 2022  p39 factor: 118610053740373850587787778519529879721
Wed Jun 29 16:56:52 2022  p40 factor: 2317452576369761315552906201422146726647
Wed Jun 29 16:56:52 2022  elapsed time 00:03:24

Msieve v. 1.53

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

1084089690488500895059008454619049225530987893812021505766691523913063595723579299249655357991738478231778431178001<115>

19619101963072364797167164135367063275585966024447267531<56>
55256845727648774982098291003769395732938723926503400804371<59>

N=1084089690488500895059008454619049225530987893812021505766691523913063595723579299249655357991738478231778431178001
  ( 115 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=19619101963072364797167164135367063275585966024447267531 (pp56)
 r2=55256845727648774982098291003769395732938723926503400804371 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.67 hours.
Scaled time: 20.38 units (timescale=7.628).
Factorization parameters were as follows:
n: 1084089690488500895059008454619049225530987893812021505766691523913063595723579299249655357991738478231778431178001
m: 100000000000000000000000000000000
deg: 4
c4: 205
c0: 2
skew: 0.31
# Murphy_E = 1.023e-08
type: snfs
lss: 1
rlim: 1040000
alim: 1040000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1040000/1040000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [520000, 1220001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 164350 x 164576
Total sieving time: 2.65 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1040000,1040000,26,26,47,47,2.3,2.3,100000
total time: 2.67 hours.

GNFS, Msieve

716423888119683781343490062913053799535952886746148214588950057300246574440322197308214564039474497724106179754406242632869<123>

1237873597319729349487774093628075211096341<43>
578753670545118870280288952884625229444731151665584379326509295610904146960873809<81>

N=716423888119683781343490062913053799535952886746148214588950057300246574440322197308214564039474497724106179754406242632869
  ( 123 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=1237873597319729349487774093628075211096341 (pp43)
 r2=578753670545118870280288952884625229444731151665584379326509295610904146960873809 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.48 hours.
Scaled time: 19.09 units (timescale=7.710).
Factorization parameters were as follows:
n: 716423888119683781343490062913053799535952886746148214588950057300246574440322197308214564039474497724106179754406242632869
m: 500000000000000000000000000000000
deg: 4
c4: 82
c0: 5
skew: 0.50
# Murphy_E = 1.073e-08
type: snfs
lss: 1
rlim: 1140000
alim: 1140000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1140000/1140000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [570000, 1170001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 144373 x 144603
Total sieving time: 2.45 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,100000
total time: 2.48 hours.

GNFS, Msieve

54844476848166570541688464002038395307324637728152354853289419226953989657455309376088696307190282136576017039991682901969483891<128>

187628949404123190265547448182684151627133953487540897057<57>
292302851038408843063612713777920995946713771768462774752674506356274963<72>

Number: n
N=54844476848166570541688464002038395307324637728152354853289419226953989657455309376088696307190282136576017039991682901969483891  ( 128 digits)
SNFS difficulty: 135 digits.
Divisors found:

Thu Jun 30 09:21:30 2022  p57 factor: 187628949404123190265547448182684151627133953487540897057
Thu Jun 30 09:21:30 2022  p72 factor: 292302851038408843063612713777920995946713771768462774752674506356274963
Thu Jun 30 09:21:30 2022  elapsed time 00:02:34 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 41x10^134+4 = 45(133)6
#
n: 54844476848166570541688464002038395307324637728152354853289419226953989657455309376088696307190282136576017039991682901969483891
m: 1000000000000000000000000000000000
deg: 4
c4: 1025
c0: 1
skew: 0.18
# Murphy_E = 7.419e-09
type: snfs
lss: 1
rlim: 1250000
alim: 1250000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1250000/1250000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 13425000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 381961 hash collisions in 5514403 relations (5751490 unique)
Msieve: matrix is 209450 x 209675 (68.9 MB)

Sieving start time : 2022/06/30 09:00:20
Sieving end time  : 2022/06/30 09:18:36

Total sieving time: 0hrs 18min 16secs.

Total relation processing time: 0hrs 0min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 21sec.

Prototype def-par.txt line would be:
snfs,135,4,0,0,0,0,0,0,0,0,1250000,1250000,26,26,47,47,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

45092948513588653571672789912985906236390038365638378399560439457046557410916798246743946515777659398088663<107>

11257039940998380796199255052878587595836369<44>
4005755398393779200506678180055401409157092484120386132853484327<64>

45092948513588653571672789912985906236390038365638378399560439457046557410916798246743946515777659398088663=11257039940998380796199255052878587595836369*4005755398393779200506678180055401409157092484120386132853484327

cado polynomial
n: 45092948513588653571672789912985906236390038365638378399560439457046557410916798246743946515777659398088663
skew: 0.56
type: snfs
c0: 4
c4: 41
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^4+4
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1380000
tasks.lim1 = 1380000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4005755398393779200506678180055401409157092484120386132853484327 11257039940998380796199255052878587595836369
Info:Square Root: Total cpu/real time for sqrt: 19.14/6.16152
Info:Quadratic Characters: Total cpu/real time for characters: 4.23/1.64165
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.22/47.4062
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.5s
Info:Square Root: Total cpu/real time for sqrt: 19.14/6.16152
Info:Linear Algebra: Total cpu/real time for bwc: 236.35/63.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 135.2, WCT time 35.5, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Linear Algebra: Lingen CPU time 18.3, WCT time 4.67
Info:Linear Algebra: Mksol: CPU time 74.97,  WCT time 19.76, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2112 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.76/40.2054
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6144121
Info:Lattice Sieving: Average J: 1891.58 for 70938 special-q, max bucket fill -bkmult 1.0,1s:1.318490
Info:Lattice Sieving: Total time: 6635s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.98/11.2699
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.58/23.435
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.4s
Info:Filtering - Merging: Merged matrix has 134029 rows and total weight 22797862 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 27.06/7.52896
Info:Filtering - Merging: Total cpu/real time for replay: 4.13/3.41762
Info:Generate Factor Base: Total cpu/real time for makefb: 0.7/0.393544
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12353.7/3632.35
Info:root: Cleaning up computation data in /tmp/cado.q_dqaqte
4005755398393779200506678180055401409157092484120386132853484327 11257039940998380796199255052878587595836369

cado-nfs-3.0.0

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

5307303211669232294707039451644254313543046889117750159089649930280158297437841123677769544985478700627193793199506446690598720758701<133>

27578964393108112094283324973792806655647370489<47>
192440264834436967781589708612358426686986801740274335882525734470007036953659508538709<87>

Number: n
N=5307303211669232294707039451644254313543046889117750159089649930280158297437841123677769544985478700627193793199506446690598720758701  ( 133 digits)
SNFS difficulty: 139 digits.
Divisors found:

Thu Jun 30 06:04:39 2022  p47 factor: 27578964393108112094283324973792806655647370489
Thu Jun 30 06:04:39 2022  p87 factor: 192440264834436967781589708612358426686986801740274335882525734470007036953659508538709
Thu Jun 30 06:04:39 2022  elapsed time 00:02:51 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 41x10^138+4 = 45(137)6
#
n: 5307303211669232294707039451644254313543046889117750159089649930280158297437841123677769544985478700627193793199506446690598720758701
m: 10000000000000000000000000000000000
deg: 4
c4: 1025
c0: 1
skew: 0.18
# Murphy_E = 4.7e-09
type: snfs
lss: 1
rlim: 1450000
alim: 1450000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1450000/1450000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6325000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 371800 hash collisions in 5984739 relations (6292250 unique)
Msieve: matrix is 210063 x 210288 (70.8 MB)

Sieving start time : 2022/06/30 05:46:58
Sieving end time  : 2022/06/30 06:01:37

Total sieving time: 0hrs 14min 39secs.

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

Prototype def-par.txt line would be:
snfs,139,4,0,0,0,0,0,0,0,0,1450000,1450000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

757375739740496482013280357457513404430685316184417567094951559285894528458725217180141264598060361<99>

1383051708345206100884802132460250656521792667<46>
547612019977677849626093529175981071501857721821807083<54>

prp46 = 1383051708345206100884802132460250656521792667
prp54 = 547612019977677849626093529175981071501857721821807083

Yafu

1138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<142>

128488360257061102541262797642394709124902864560221<51>
8863751444958618584563731270584630885348431780645691646346750101096674141111937690460288909<91>

Number: n
N=1138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889  ( 142 digits)
SNFS difficulty: 142 digits.
Divisors found:

Thu Jun 30 04:52:37 2022  p51 factor: 128488360257061102541262797642394709124902864560221
Thu Jun 30 04:52:37 2022  p91 factor: 8863751444958618584563731270584630885348431780645691646346750101096674141111937690460288909
Thu Jun 30 04:52:37 2022  elapsed time 00:02:40 (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 = 41x10^141+4 = 45(140)6
#
n: 1138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 10000000000000000000000000000
deg: 5
c5: 205
c0: 2
skew: 0.40
# Murphy_E = 3.209e-09
type: snfs
lss: 1
rlim: 1650000
alim: 1650000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1650000/1650000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6425000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 366802 hash collisions in 5547978 relations (5557859 unique)
Msieve: matrix is 269965 x 270190 (91.4 MB)

Sieving start time : 2022/06/30 04:42:31
Sieving end time  : 2022/06/30 04:45:53

Total sieving time: 0hrs 3min 22secs.

Total relation processing time: 0hrs 1min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 12sec.

Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1650000,1650000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

343648918234714391359350676544785588531068506626970705371416469087931776654633789364502158022695050751<102>

8655494058154400755257718169497589<34>
39702981242412196116089022886584921122757877671858608539848225137059<68>

343648918234714391359350676544785588531068506626970705371416469087931776654633789364502158022695050751=8655494058154400755257718169497589*39702981242412196116089022886584921122757877671858608539848225137059

cado polynomial
n: 343648918234714391359350676544785588531068506626970705371416469087931776654633789364502158022695050751
skew: 85003.089
c0: 52158812704000399392675260
c1: -38311315254528774001
c2: 4765445206442705
c3: -11628397840
c4: -1369200
Y0: -841723604359106190493517
Y1: 14027970390671
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.128e-06
# f(x) = -1369200*x^4-11628397840*x^3+4765445206442705*x^2-38311315254528774001*x+52158812704000399392675260
# g(x) = 14027970390671*x-841723604359106190493517

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 39702981242412196116089022886584921122757877671858608539848225137059 8655494058154400755257718169497589
Info:Square Root: Total cpu/real time for sqrt: 87.58/26.3772
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5799/34.310/38.770/39.590/0.670
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3276/33.680/37.234/39.580/0.986
Info:Polynomial Selection (size optimized): Total time: 103.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 26.57/27.0913
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 19.600000000000005s
Info:Quadratic Characters: Total cpu/real time for characters: 7/2.76657
Info:Square Root: Total cpu/real time for sqrt: 87.58/26.3772
Info:Linear Algebra: Total cpu/real time for bwc: 578.64/150.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 341.98, WCT time 87.81, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 28.61, WCT time 7.31
Info:Linear Algebra: Mksol: CPU time 190.31,  WCT time 48.89, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 17.21/19.4165
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2477596
Info:Lattice Sieving: Average J: 958.759 for 124694 special-q, max bucket fill -bkmult 1.0,1s:1.338600
Info:Lattice Sieving: Total time: 4275.83s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.78/0.217525
Info:Generate Free Relations: Total cpu/real time for freerel: 24.04/6.64747
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.71/10.25
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.799999999999999s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 60.27
Info:Polynomial Selection (root optimized): Rootsieve time: 59.89
Info:Filtering - Merging: Merged matrix has 211882 rows and total weight 36090643 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.91/12.4123
Info:Filtering - Merging: Total cpu/real time for replay: 7.22/5.93692
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8560.73/2470.83
Info:root: Cleaning up computation data in /tmp/cado.92_jlcg_
39702981242412196116089022886584921122757877671858608539848225137059 8655494058154400755257718169497589

cado-nfs-3.0.0

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

2853618823733392300484636624646886678195395281921225091048001868735016713105209845249264968171<94>

264668205613025358755997578666047688626316759<45>
10781872409358090816675546715544713403052340640269<50>

2853618823733392300484636624646886678195395281921225091048001868735016713105209845249264968171=264668205613025358755997578666047688626316759*10781872409358090816675546715544713403052340640269

cado polynomial
n: 2853618823733392300484636624646886678195395281921225091048001868735016713105209845249264968171
skew: 79740.094
c0: 2799711089690907636925597
c1: -112314729603956988102
c2: 278541649415741
c3: 20537463900
c4: 93600
Y0: -23080012660584356826284
Y1: 64453026690705833
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 1.170e-05
# f(x) = 93600*x^4+20537463900*x^3+278541649415741*x^2-112314729603956988102*x+2799711089690907636925597
# g(x) = 64453026690705833*x-23080012660584356826284

cado parameters (extracts)
tasks.lim0 = 600000
tasks.lim1 = 850000
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 50
tasks.sieve.ncurves0 = 11
tasks.sieve.ncurves1 = 14
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 264668205613025358755997578666047688626316759 10781872409358090816675546715544713403052340640269
Info:Square Root: Total cpu/real time for sqrt: 21.07/6.5068
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 18.88/18.2063
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 13.2s
Info:Square Root: Total cpu/real time for sqrt: 21.07/6.5068
Info:Filtering - Singleton removal: Total cpu/real time for purge: 9.44/9.73732
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2400183
Info:Lattice Sieving: Average J: 1012.56 for 25989 special-q, max bucket fill -bkmult 1.0,1s:1.352920
Info:Lattice Sieving: Total time: 1230.67s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.63/0.183352
Info:Linear Algebra: Total cpu/real time for bwc: 121.52/33.01
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 66.81, WCT time 17.68, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3264 iterations)
Info:Linear Algebra: Lingen CPU time 11.93, WCT time 3.07
Info:Linear Algebra: Mksol: CPU time 37.64,  WCT time 10.12, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1600 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 8.73/8.15963
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 52.99
Info:Polynomial Selection (root optimized): Rootsieve time: 52.6
Info:Filtering - Merging: Merged matrix has 102309 rows and total weight 14846032 (145.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 13.7/4.12915
Info:Filtering - Merging: Total cpu/real time for replay: 3.14/2.52821
Info:Generate Free Relations: Total cpu/real time for freerel: 23.82/6.64018
Info:Quadratic Characters: Total cpu/real time for characters: 3.51/1.34825
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7433/30.520/36.122/43.050/1.361
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 5031/30.100/33.985/38.020/1.099
Info:Polynomial Selection (size optimized): Total time: 126.32
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2544.66/798.542
Info:root: Cleaning up computation data in /tmp/cado.h8tzd8j6
264668205613025358755997578666047688626316759 10781872409358090816675546715544713403052340640269

cado-nfs-3.0.0

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

3002969128923540574928694080128760914955103557172879018061836906774920611091852996318329937679340192733017275355063<115>

3507797362043470517138781932882178907<37>
856083980624855194123013498135332412398544739575251544190740366702456361930709<78>

3002969128923540574928694080128760914955103557172879018061836906774920611091852996318329937679340192733017275355063=3507797362043470517138781932882178907*856083980624855194123013498135332412398544739575251544190740366702456361930709

cado polynomial
n: 3002969128923540574928694080128760914955103557172879018061836906774920611091852996318329937679340192733017275355063
skew: 0.40
type: snfs
c0: 2
c5: 205
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 205*x^5+2
# g(x) = -x+100000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 3507797362043470517138781932882178907 856083980624855194123013498135332412398544739575251544190740366702456361930709
Info:Square Root: Total cpu/real time for sqrt: 35.96/11.715
Info:Filtering - Singleton removal: Total cpu/real time for purge: 40.16/46.1395
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6071127
Info:Lattice Sieving: Average J: 1891.73 for 78689 special-q, max bucket fill -bkmult 1.0,1s:1.244760
Info:Lattice Sieving: Total time: 15399.6s
Info:Linear Algebra: Total cpu/real time for bwc: 524.01/137.43
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 307.31, WCT time 79.1, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6272 iterations)
Info:Linear Algebra: Lingen CPU time 28.1, WCT time 7.18
Info:Linear Algebra: Mksol: CPU time 171.59,  WCT time 44.38, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3200 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 30.71/21.6008
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.09/28.1484
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.0s
Info:Filtering - Merging: Merged matrix has 199791 rows and total weight 34086198 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.04/13.3842
Info:Filtering - Merging: Total cpu/real time for replay: 6.27/5.25142
Info:Generate Factor Base: Total cpu/real time for makefb: 0.88/1.14829
Info:Quadratic Characters: Total cpu/real time for characters: 6.46/2.52687
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.9/60.7336
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 48.1s
Info:Square Root: Total cpu/real time for sqrt: 35.96/11.715
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15486.7/8223.64
Info:root: Cleaning up computation data in /tmp/cado.qhkaurbk
3507797362043470517138781932882178907 856083980624855194123013498135332412398544739575251544190740366702456361930709

cado-nfs-3.0.0

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

930382318181141411487578348399321573072880701971223826310246726798100916928480295931149315987879200281191762490593641443847<123>

39467639353247402999492901365147804687515112117740753<53>
23573295323136406980147729480053106045869134567031055979127370869178199<71>

930382318181141411487578348399321573072880701971223826310246726798100916928480295931149315987879200281191762490593641443847=
39467639353247402999492901365147804687515112117740753*23573295323136406980147729480053106045869134567031055979127370869178199

cado polynomial
n: 930382318181141411487578348399321573072880701971223826310246726798100916928480295931149315987879200281191762490593641443847
skew: 0.25
type: snfs
c0: 1
c5: 1025
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 1025*x^5+1
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2100000
tasks.lim1 = 2100000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 23573295323136406980147729480053106045869134567031055979127370869178199 39467639353247402999492901365147804687515112117740753
Info:Square Root: Total cpu/real time for sqrt: 40.65/13.1866
Info:Quadratic Characters: Total cpu/real time for characters: 7.02/2.74494
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.65/49.5297
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.1s
Info:Square Root: Total cpu/real time for sqrt: 40.65/13.1866
Info:Linear Algebra: Total cpu/real time for bwc: 642.21/166.84
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 382.63, WCT time 97.91, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Linear Algebra: Lingen CPU time 29.44, WCT time 7.52
Info:Linear Algebra: Mksol: CPU time 211.96,  WCT time 54.33, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 38.57/36.0213
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6062608
Info:Lattice Sieving: Average J: 1893.68 for 92782 special-q, max bucket fill -bkmult 1.0,1s:1.229510
Info:Lattice Sieving: Total time: 9349.85s
Info:Generate Free Relations: Total cpu/real time for freerel: 29.64/9.40212
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.56/23.6656
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.6s
Info:Filtering - Merging: Merged matrix has 219753 rows and total weight 37451575 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.93/12.3624
Info:Filtering - Merging: Total cpu/real time for replay: 6.87/5.72613
Info:Generate Factor Base: Total cpu/real time for makefb: 0.93/0.512393
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17835.9/5127.48
Info:root: Cleaning up computation data in /tmp/cado.rsrgtv50
23573295323136406980147729480053106045869134567031055979127370869178199 39467639353247402999492901365147804687515112117740753

cado-nfs-3.0.0

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

4042920185686183670105048038462718864486414290444039960094824234803784242519806422115109818238443736604700146062586317829<121>

36633915543404359124559874001661596077<38>
110360034566768520737844298789264682967560614356513351812197373931007381109498158777<84>

4042920185686183670105048038462718864486414290444039960094824234803784242519806422115109818238443736604700146062586317829=36633915543404359124559874001661596077*110360034566768520737844298789264682967560614356513351812197373931007381109498158777

cado polynomial
n: 4042920185686183670105048038462718864486414290444039960094824234803784242519806422115109818238443736604700146062586317829
skew: 0.16
type: snfs
c0: 1
c5: 10250
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 10250*x^5+1
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2600000
tasks.lim1 = 2600000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 36633915543404359124559874001661596077 110360034566768520737844298789264682967560614356513351812197373931007381109498158777
Info:Square Root: Total cpu/real time for sqrt: 54.56/17.0459
Info:Filtering - Singleton removal: Total cpu/real time for purge: 89.4/78.9157
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11624522
Info:Lattice Sieving: Average J: 1894.05 for 184443 special-q, max bucket fill -bkmult 1.0,1s:1.220780
Info:Lattice Sieving: Total time: 23274.9s
Info:Linear Algebra: Total cpu/real time for bwc: 1017.75/263.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 614.23, WCT time 157.3, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8704 iterations)
Info:Linear Algebra: Lingen CPU time 43.69, WCT time 11.11
Info:Linear Algebra: Mksol: CPU time 336.67,  WCT time 86.31, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4352 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 61.09/42.1016
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.95/45.8751
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 45.8s
Info:Filtering - Merging: Merged matrix has 276094 rows and total weight 47106616 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 56.9/15.8357
Info:Filtering - Merging: Total cpu/real time for replay: 8.51/7.07797
Info:Generate Factor Base: Total cpu/real time for makefb: 1.16/1.53552
Info:Quadratic Characters: Total cpu/real time for characters: 8.65/3.39233
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.18/82.5331
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.6s
Info:Square Root: Total cpu/real time for sqrt: 54.56/17.0459
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 41967/12381.3
Info:root: Cleaning up computation data in /tmp/cado.5dcj_ytz
36633915543404359124559874001661596077 110360034566768520737844298789264682967560614356513351812197373931007381109498158777

cado-nfs-3.0.0

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

302567302635827924730769383554042675532037231702846635701713319556038773425863475887129164759784527131813223167355213930511<123>

337661368445177130371894509525375467315321749149<48>
896067276008072283167837570296392781354234025920955290787894808501205181339<75>

302567302635827924730769383554042675532037231702846635701713319556038773425863475887129164759784527131813223167355213930511=337661368445177130371894509525375467315321749149*896067276008072283167837570296392781354234025920955290787894808501205181339

cado polynomial
n: 302567302635827924730769383554042675532037231702846635701713319556038773425863475887129164759784527131813223167355213930511
skew: 0.63
type: snfs
c0: 4
c5: 41
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 41*x^5+4
# g(x) = -x+10000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 896067276008072283167837570296392781354234025920955290787894808501205181339 337661368445177130371894509525375467315321749149
Info:Square Root: Total cpu/real time for sqrt: 49.43/16.5318
Info:Quadratic Characters: Total cpu/real time for characters: 9.08/3.53936
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 99.17/83.7709
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.0s
Info:Square Root: Total cpu/real time for sqrt: 49.43/16.5318
Info:Linear Algebra: Total cpu/real time for bwc: 1159.24/299.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 703.68, WCT time 179.85, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9088 iterations)
Info:Linear Algebra: Lingen CPU time 44.96, WCT time 11.4
Info:Linear Algebra: Mksol: CPU time 385.65,  WCT time 98.45, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 90.54/78.4878
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11622927
Info:Lattice Sieving: Average J: 1894.36 for 188289 special-q, max bucket fill -bkmult 1.0,1s:1.240400
Info:Lattice Sieving: Total time: 25100.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.08/16.7877
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.72/47.5284
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.5s
Info:Filtering - Merging: Merged matrix has 289024 rows and total weight 49282385 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.97/16.338
Info:Filtering - Merging: Total cpu/real time for replay: 8.9/7.45833
Info:Generate Factor Base: Total cpu/real time for makefb: 1.27/0.702165
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 44417.1/13274.5
Info:root: Cleaning up computation data in /tmp/cado.byr7epl2
896067276008072283167837570296392781354234025920955290787894808501205181339 337661368445177130371894509525375467315321749149

cado-nfs-3.0.0

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

476771513066581342509179133399961028542402958471164407036064858461054183129042598824812992912457345798765455986804086734649166486324109<135>

4506942811542400894567088165517053457977963<43>
105786013491353110972231315586304618553080549340107912489860695923736308314763306198378835943<93>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 476771513066581342509179133399961028542402958471164407036064858461054183129042598824812992912457345798765455986804086734649166486324109 (135 digits)
Using B1=20200000, B2=70272629710, polynomial Dickson(12), sigma=1:574272943
Step 1 took 33204ms
Step 2 took 13915ms
********** Factor found in step 2: 4506942811542400894567088165517053457977963
Found prime factor of 43 digits: 4506942811542400894567088165517053457977963
Prime cofactor 105786013491353110972231315586304618553080549340107912489860695923736308314763306198378835943 has 93 digits

63720211267357875988620593909558650840612405662713132769004458822210402218289564912692777637697799797746978138564553991354380586921477510492213<143>

9922537913557667703598455063678869207936317384191884657624920887516931<70>
6421765461867745930824032306029606704508122738387960553754087355700318823<73>

Number: n
N=63720211267357875988620593909558650840612405662713132769004458822210402218289564912692777637697799797746978138564553991354380586921477510492213  ( 143 digits)
SNFS difficulty: 160 digits.
Divisors found:

Fri Jul  1 18:35:48 2022  p70 factor: 9922537913557667703598455063678869207936317384191884657624920887516931
Fri Jul  1 18:35:48 2022  p73 factor: 6421765461867745930824032306029606704508122738387960553754087355700318823
Fri Jul  1 18:35:48 2022  elapsed time 00:08:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 41x10^159+4 = 45(158)6
#
n: 63720211267357875988620593909558650840612405662713132769004458822210402218289564912692777637697799797746978138564553991354380586921477510492213
m: 50000000000000000000000000000000
deg: 5
c5: 164
c0: 5
skew: 0.50
# Murphy_E = 5.037e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 28850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 851458 hash collisions in 11618346 relations (11538967 unique)
Msieve: matrix is 575680 x 575908 (197.6 MB)

Sieving start time : 2022/07/01 15:27:26
Sieving end time  : 2022/07/01 18:25:45

Total sieving time: 2hrs 58min 19secs.

Total relation processing time: 0hrs 5min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 12sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

1721007954565927289747774279178485164097101048570689461475791017651480307782040336699003650568492582229046480495917592833393786885922744271935644175208281<154>

11969745817936370557501713389494783406587860917032324569049<59>
143779824629779445817089828145313342879424504839939067082349517776620327363578122462083011511169<96>

Number: n
N=1721007954565927289747774279178485164097101048570689461475791017651480307782040336699003650568492582229046480495917592833393786885922744271935644175208281  ( 154 digits)
SNFS difficulty: 161 digits.
Divisors found:

Fri Jul  1 04:40:17 2022  p59 factor: 11969745817936370557501713389494783406587860917032324569049
Fri Jul  1 04:40:17 2022  p96 factor: 143779824629779445817089828145313342879424504839939067082349517776620327363578122462083011511169
Fri Jul  1 04:40:17 2022  elapsed time 00:07:56 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 41x10^160+4 = 45(159)6
#
n: 1721007954565927289747774279178485164097101048570689461475791017651480307782040336699003650568492582229046480495917592833393786885922744271935644175208281
m: 100000000000000000000000000000000
deg: 5
c5: 41
c0: 4
skew: 0.63
# Murphy_E = 5.691e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1229125 hash collisions in 13851306 relations (13529471 unique)
Msieve: matrix is 463077 x 463306 (158.0 MB)

Sieving start time : 2022/07/01 03:49:24
Sieving end time  : 2022/07/01 04:32:05

Total sieving time: 0hrs 42min 41secs.

Total relation processing time: 0hrs 3min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

1009095012352618130417863305615732303841346573656962888804019127269669484162569384184629796349615735944042672920754452337<121>

477139590758862367157210730221446463<36>
2114884264262607199239126640678290880898208549600150707404476747898954236199765067599<85>

1009095012352618130417863305615732303841346573656962888804019127269669484162569384184629796349615735944042672920754452337=477139590758862367157210730221446463*2114884264262607199239126640678290880898208549600150707404476747898954236199765067599

cado polynomial
n: 1009095012352618130417863305615732303841346573656962888804019127269669484162569384184629796349615735944042672920754452337
skew: 0.40
type: snfs
c0: 2
c5: 205
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 205*x^5+2
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3600000
tasks.lim1 = 3600000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 477139590758862367157210730221446463 2114884264262607199239126640678290880898208549600150707404476747898954236199765067599
Info:Square Root: Total cpu/real time for sqrt: 83.46/27.285
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.07/69.9495
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11620629
Info:Lattice Sieving: Average J: 1893.54 for 231545 special-q, max bucket fill -bkmult 1.0,1s:1.230720
Info:Lattice Sieving: Total time: 29411.5s
Info:Linear Algebra: Total cpu/real time for bwc: 2356.46/607.38
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1457.6, WCT time 372.09, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12928 iterations)
Info:Linear Algebra: Lingen CPU time 64.84, WCT time 16.48
Info:Linear Algebra: Mksol: CPU time 797.1,  WCT time 203.49, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.44/47.8898
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.79/86.2373
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.4s
Info:Filtering - Merging: Merged matrix has 409754 rows and total weight 69738660 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 85.34/23.9382
Info:Filtering - Merging: Total cpu/real time for replay: 13.25/11.036
Info:Generate Factor Base: Total cpu/real time for makefb: 1.57/0.878533
Info:Quadratic Characters: Total cpu/real time for characters: 13.3/5.20997
Info:Square Root: Total cpu/real time for sqrt: 83.46/27.285
Info:Generate Free Relations: Total cpu/real time for freerel: 59.74/16.7964
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 56779.9/15803
Info:root: Cleaning up computation data in /tmp/cado.pnqcfbgu
477139590758862367157210730221446463 2114884264262607199239126640678290880898208549600150707404476747898954236199765067599

cado-nfs-3.0.0

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

1161328022646962310829693165427550500856098681846754178269977711119860924762140296284504992704889505011174981081<112>

4785923969891282356281346948854804188046936083848915297<55>
242654925141517277911919078742546506045867636541464465273<57>

1161328022646962310829693165427550500856098681846754178269977711119860924762140296284504992704889505011174981081=4785923969891282356281346948854804188046936083848915297*242654925141517277911919078742546506045867636541464465273

cado polynomial
n: 1161328022646962310829693165427550500856098681846754178269977711119860924762140296284504992704889505011174981081
skew: 21419.929
c0: -45422740686941899038851520
c1: 18354352569539320312052
c2: 578887251362804295
c3: -46283649143903
c4: -344118390
c5: 29160
Y0: -2989968295542897050899
Y1: 8327576107039
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.502e-06
# f(x) = 29160*x^5-344118390*x^4-46283649143903*x^3+578887251362804295*x^2+18354352569539320312052*x-45422740686941899038851520
# g(x) = 8327576107039*x-2989968295542897050899

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
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: 4785923969891282356281346948854804188046936083848915297 242654925141517277911919078742546506045867636541464465273
Info:Square Root: Total cpu/real time for sqrt: 216.71/95.0948
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11641/32.620/39.520/45.630/1.099
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9225/31.280/34.999/39.960/0.881
Info:Polynomial Selection (size optimized): Total time: 693.24
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 93.49/104.638
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 74.4s
Info:Quadratic Characters: Total cpu/real time for characters: 10.87/4.26294
Info:Square Root: Total cpu/real time for sqrt: 216.71/95.0948
Info:Linear Algebra: Total cpu/real time for bwc: 2740.28/1274.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 671.56, WCT time 340.71, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9344 iterations)
Info:Linear Algebra: Lingen CPU time 1673.21, WCT time 823.59
Info:Linear Algebra: Mksol: CPU time 370.8,  WCT time 94.85, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.6/90.8897
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5369194
Info:Lattice Sieving: Average J: 1909.12 for 97478 special-q, max bucket fill -bkmult 1.0,1s:1.313620
Info:Lattice Sieving: Total time: 9538.98s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.35/0.637516
Info:Generate Free Relations: Total cpu/real time for freerel: 62.1/15.9692
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.73/23.9701
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.999999999999993s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 244.97
Info:Polynomial Selection (root optimized): Rootsieve time: 244.05
Info:Filtering - Merging: Merged matrix has 294619 rows and total weight 45833993 (155.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.03/24.2891
Info:Filtering - Merging: Total cpu/real time for replay: 10.59/9.3366
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 21272.5/6624.98
Info:root: Cleaning up computation data in /tmp/cado.tuz0fayu
4785923969891282356281346948854804188046936083848915297 242654925141517277911919078742546506045867636541464465273

cado-nfs-3.0.0

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

4218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218107<169>

755743446026905030963461530606798716593042208321264708147723329680918436879106633<81>
5581400696307998023971997363968464743951002925634882026688979219737561643897801539847779<88>

Number: n
N=4218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218107  ( 169 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sun Jul  3 18:52:13 2022  p81 factor: 755743446026905030963461530606798716593042208321264708147723329680918436879106633
Sun Jul  3 18:52:13 2022  p88 factor: 5581400696307998023971997363968464743951002925634882026688979219737561643897801539847779
Sun Jul  3 18:52:13 2022  elapsed time 00:15:10 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 41x10^170+4 = 45(169)6
#
n: 4218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218106995884773662551440329218107
m: 10000000000000000000000000000000000
deg: 5
c5: 41
c0: 4
skew: 0.63
# Murphy_E = 2.3e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
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, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1189833 hash collisions in 13034808 relations (12679455 unique)
Msieve: matrix is 778260 x 778485 (269.0 MB)

Sieving start time : 2022/07/03 18:29:33
Sieving end time  : 2022/07/03 18:36:40

Total sieving time: 0hrs 7min 7secs.

Total relation processing time: 0hrs 8min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 7sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

1208717348288853224769619387324383525467446346195509257506619104240422083343311147638903147331462057275770835874661558110647238411458095182849695628639276209391547241<166>

845494847626568483035794476230955941<36>
555948876652582042861860875760313380779756353<45>
2571455025788890653472361472083877462469760496503111977164259814450600036469199352117<85>

Number: n
N=1208717348288853224769619387324383525467446346195509257506619104240422083343311147638903147331462057275770835874661558110647238411458095182849695628639276209391547241  ( 166 digits)
SNFS difficulty: 174 digits.
Divisors found:

Thu Jul  7 05:58:31 2022  found factor: 555948876652582042861860875760313380779756353
Thu Jul  7 05:59:50 2022  p36 factor: 845494847626568483035794476230955941
Thu Jul  7 05:59:50 2022  p45 factor: 555948876652582042861860875760313380779756353
Thu Jul  7 05:59:50 2022  p85 factor: 2571455025788890653472361472083877462469760496503111977164259814450600036469199352117
Thu Jul  7 05:59:50 2022  elapsed time 00:18:28 (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 = 41x10^173+4 = 45(172)6
#
n: 1208717348288853224769619387324383525467446346195509257506619104240422083343311147638903147331462057275770835874661558110647238411458095182849695628639276209391547241
m: 10000000000000000000000000000000000
deg: 5
c5: 10250
c0: 1
skew: 0.16
# Murphy_E = 1.549e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1214111 hash collisions in 11986236 relations (11498149 unique)
Msieve: matrix is 921747 x 921972 (320.3 MB)

Sieving start time : 2022/07/07 04:18:13
Sieving end time  : 2022/07/07 05:41:07

Total sieving time: 1hrs 22min 54secs.

Total relation processing time: 0hrs 12min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

11388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<176>

1844670598664230256093588547236419402057<40>
6173941785127303230236053791804013885956898141489255212070894809256492242466013257342244413481200376437739296497580921288585362181086577<136>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 11388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889 (176 digits)
Using B1=17920000, B2=58560416470, polynomial Dickson(12), sigma=1:431576354
Step 1 took 48043ms
Step 2 took 18010ms
********** Factor found in step 2: 1844670598664230256093588547236419402057
Found prime factor of 40 digits: 1844670598664230256093588547236419402057
Prime cofactor 6173941785127303230236053791804013885956898141489255212070894809256492242466013257342244413481200376437739296497580921288585362181086577 has 136 digits

2674911455903040600288040994621511104426910173545381590202055040642163608206718527858092295373342087805731144480198441701879921<127>

18886334696230174302463168671329416623362231<44>
141632111202443583333054398252427883188685497913471924868217688450788145571865939991<84>

2674911455903040600288040994621511104426910173545381590202055040642163608206718527858092295373342087805731144480198441701879921=18886334696230174302463168671329416623362231*141632111202443583333054398252427883188685497913471924868217688450788145571865939991

cado polynomial
n: 2674911455903040600288040994621511104426910173545381590202055040642163608206718527858092295373342087805731144480198441701879921
skew: 0.25
type: snfs
c0: 1
c5: 1025
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 1025*x^5+1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6500000
tasks.lim1 = 6500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 141632111202443583333054398252427883188685497913471924868217688450788145571865939991 18886334696230174302463168671329416623362231
Info:Square Root: Total cpu/real time for sqrt: 208.88/65.8332
Info:Filtering - Singleton removal: Total cpu/real time for purge: 131.43/127.436
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22413333
Info:Lattice Sieving: Average J: 1894 for 796337 special-q, max bucket fill -bkmult 1.0,1s:1.174740
Info:Lattice Sieving: Total time: 129528s
Info:Linear Algebra: Total cpu/real time for bwc: 13167.7/3386.67
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8327.01, WCT time 2133.49, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Linear Algebra: Lingen CPU time 165.99, WCT time 42.23
Info:Linear Algebra: Mksol: CPU time 4527.12,  WCT time 1156.47, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 119.04/33.0123
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.91/101.812
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.04/182.57
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 163.7s
Info:Filtering - Merging: Merged matrix has 926721 rows and total weight 157781164 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 232.19/64.3599
Info:Filtering - Merging: Total cpu/real time for replay: 31.89/26.8713
Info:Generate Factor Base: Total cpu/real time for makefb: 2.79/1.67493
Info:Quadratic Characters: Total cpu/real time for characters: 31.16/12.1944
Info:Square Root: Total cpu/real time for sqrt: 208.88/65.8332
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 255406/69081.7
Info:root: Cleaning up computation data in /tmp/cado._sgjwywj
141632111202443583333054398252427883188685497913471924868217688450788145571865939991 18886334696230174302463168671329416623362231

cado-nfs-3.0.0

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

118327912008401335988549941549364846387946503083768813155528646461207638898152473648821208982073330189708565135324012098069130525827107<135>

127953815083802224942862917426640623336685359<45>
924770487936631756841038534498311096864566093573378728314594271173176545485412336831140173<90>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:412655956
Step 1 took 4797ms
Step 2 took 3235ms
********** Factor found in step 2: 127953815083802224942862917426640623336685359
Found prime factor of 45 digits: 127953815083802224942862917426640623336685359
Prime cofactor 924770487936631756841038534498311096864566093573378728314594271173176545485412336831140173 has 90 digits
 

GMP-ECM

45073088668189794422497221525156321150721382115935064484699524352030236679518841196026287545301442771334357667857<113>

6967816659618051019899240656958940851907<40>
6468753537878037140950392993307541781826239459542680761503880855465885851<73>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2896179667
Step 1 took 3562ms
Step 2 took 2641ms
********** Factor found in step 2: 6967816659618051019899240656958940851907
Found prime factor of 40 digits: 6967816659618051019899240656958940851907
Prime cofactor 6468753537878037140950392993307541781826239459542680761503880855465885851 has 73 digits
 

GMP-ECM

20554400200795043431982264529380947900291933096735941931335264837104116457900008832948600761552531521538010763913569359039109403061357692733549545502055901<155>

101844921265908558779279952703866451<36>
201820571367807592168074191587264738522240670295965258590120178163111238104700227698415936951307764718231646731399111951<120>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 20554400200795043431982264529380947900291933096735941931335264837104116457900008832948600761552531521538010763913569359039109403061357692733549545502055901 (155 digits)
Using B1=16780000, B2=58559116990, polynomial Dickson(12), sigma=1:1295634503
Step 1 took 39618ms
Step 2 took 15955ms
********** Factor found in step 2: 101844921265908558779279952703866451
Found prime factor of 36 digits: 101844921265908558779279952703866451
Prime cofactor 201820571367807592168074191587264738522240670295965258590120178163111238104700227698415936951307764718231646731399111951 has 120 digits

420388800410908752585898549344074891758944271763037107851133103708491936516508976926945311317981664052806400017784549811039681617390430409745186250674809<153>

24712367592163359552438839157708451327689814037<47>
24828943166718044001690508088485390852567325042099<50>
685138776315656091045898488754733155065635359680048237143<57>

Number: n
N=420388800410908752585898549344074891758944271763037107851133103708491936516508976926945311317981664052806400017784549811039681617390430409745186250674809  ( 153 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Jul 11 13:55:23 2022  found factor: 24828943166718044001690508088485390852567325042099
Mon Jul 11 13:56:18 2022  found factor: 24828943166718044001690508088485390852567325042099
Mon Jul 11 13:57:12 2022  p47 factor: 24712367592163359552438839157708451327689814037
Mon Jul 11 13:57:12 2022  p50 factor: 24828943166718044001690508088485390852567325042099
Mon Jul 11 13:57:12 2022  p57 factor: 685138776315656091045898488754733155065635359680048237143
Mon Jul 11 13:57:12 2022  elapsed time 00:21:46 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 41x10^181+4 = 45(180)6
#
n: 420388800410908752585898549344074891758944271763037107851133103708491936516508976926945311317981664052806400017784549811039681617390430409745186250674809
m: 1000000000000000000000000000000000000
deg: 5
c5: 205
c0: 2
skew: 0.40
# Murphy_E = 8.888e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2896059 hash collisions in 28850907 relations (27756702 unique)
Msieve: matrix is 869368 x 869594 (299.4 MB)

Sieving start time : 2022/07/11 08:07:59
Sieving end time  : 2022/07/11 13:34:16

Total sieving time: 5hrs 26min 17secs.

Total relation processing time: 0hrs 12min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 44sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116830] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153517] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798712)
[    0.152024] smpboot: Total of 16 processors activated (102389.69 BogoMIPS)

18777646870286759506976209753922437068675464698073761942189637473993955469327595813414202280228228336023<104>

169560055222354492715579874602247255448484176917419<51>
110743340143776671266577706641306701392955727734642117<54>

N=18777646870286759506976209753922437068675464698073761942189637473993955469327595813414202280228228336023
  ( 104 digits)
Divisors found:
p51 factor: 169560055222354492715579874602247255448484176917419
p54 factor: 110743340143776671266577706641306701392955727734642117
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.43 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 18777646870286759506976209753922437068675464698073761942189637473993955469327595813414202280228228336023
skew: 659755.00
c0: -109019030960340766576098697
c1: 5725950289529535492902
c2: -12673761523829677
c3: 10708529132
c4: 20580
Y0: -5496025598655113270504640
Y1: 19692122958649
rlim: 2360000
alim: 2360000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 2360000/2360000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1180000, 1630001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 250704 x 250931
Total sieving time: 2.37 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2360000,2360000,26,26,52,52,2.5,2.5,100000
total time: 2.43 hours.
 --------- CPU info (if available) ----------

10695571263311511039285706634840486558002730434301142394592716522785511630576537944652605826252481681661184539442591882806657682783324224515283832031978134437410128962471372247<176>

2391951978173662358615615408395220381711072309593803383<55>
2439247216670063677841578957805751505704873101918601101<55>
1833140326079104521740116133895953429285095516252513741977603684709<67>

Number: n
N=10695571263311511039285706634840486558002730434301142394592716522785511630576537944652605826252481681661184539442591882806657682783324224515283832031978134437410128962471372247  ( 176 digits)
SNFS difficulty: 184 digits.
Divisors found:

Fri Jul  8 13:49:35 2022  found factor: 2391951978173662358615615408395220381711072309593803383
Fri Jul  8 13:50:55 2022  found factor: 2391951978173662358615615408395220381711072309593803383
Fri Jul  8 13:52:16 2022  p55 factor: 2391951978173662358615615408395220381711072309593803383
Fri Jul  8 13:52:16 2022  p55 factor: 2439247216670063677841578957805751505704873101918601101
Fri Jul  8 13:52:16 2022  p67 factor: 1833140326079104521740116133895953429285095516252513741977603684709
Fri Jul  8 13:52:16 2022  elapsed time 00:26:31 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 41x10^183+4 = 45(182)6
#
n: 10695571263311511039285706634840486558002730434301142394592716522785511630576537944652605826252481681661184539442591882806657682783324224515283832031978134437410128962471372247
m: 1000000000000000000000000000000000000
deg: 5
c5: 10250
c0: 1
skew: 0.16
# Murphy_E = 6.131e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 24100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2882010 hash collisions in 28761412 relations (27673328 unique)
Msieve: matrix is 986562 x 986788 (341.3 MB)

Sieving start time : 2022/07/08 06:37:14
Sieving end time  : 2022/07/08 13:24:26

Total sieving time: 6hrs 47min 12secs.

Total relation processing time: 0hrs 15min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 2sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

192705395751081030268847527730776461740928746004888136867832299304380522654634329761233314532806918593720624177476969355141943974431284075954126715548035344989659710471893213009964279<183>

913923159694661500143869215055269302320891989305767954130190931974183<69>
210855139961069836977886725917177614056505565432197327193995098701550531706934548611744589503344068730886537115313<114>

Number: n
N=192705395751081030268847527730776461740928746004888136867832299304380522654634329761233314532806918593720624177476969355141943974431284075954126715548035344989659710471893213009964279  ( 183 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sat Jul  9 00:48:17 2022  p69 factor: 913923159694661500143869215055269302320891989305767954130190931974183
Sat Jul  9 00:48:17 2022  p114 factor: 210855139961069836977886725917177614056505565432197327193995098701550531706934548611744589503344068730886537115313
Sat Jul  9 00:48:17 2022  elapsed time 00:26:22 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 41x10^185+4 = 45(184)6
#
n: 192705395751081030268847527730776461740928746004888136867832299304380522654634329761233314532806918593720624177476969355141943974431284075954126715548035344989659710471893213009964279
m: 10000000000000000000000000000000000000
deg: 5
c5: 41
c0: 4
skew: 0.63
# Murphy_E = 5.711e-11
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
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, 8350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1426704 hash collisions in 11853172 relations (11089671 unique)
Msieve: matrix is 1075989 x 1076215 (375.5 MB)

Sieving start time : 2022/07/08 21:39:50
Sieving end time  : 2022/07/09 00:21:38

Total sieving time: 2hrs 41min 48secs.

Total relation processing time: 0hrs 18min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 6sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

1144651436345634770288384436898013926539415826121670450089703781889620731969322421183847504093318233614662849801683031798114233507301960180303792798600080519108256614781926572861<178>

5209933864304076255460811229916466919544613<43>
77172704090104979545771190511534891998987983175666286727553737651<65>
2846933542404727274612283613541890569769655356278219683213378069621347<70>

Number: n
N=1144651436345634770288384436898013926539415826121670450089703781889620731969322421183847504093318233614662849801683031798114233507301960180303792798600080519108256614781926572861  ( 178 digits)
SNFS difficulty: 188 digits.
Divisors found:

Sun Jul 10 21:49:28 2022  found factor: 77172704090104979545771190511534891998987983175666286727553737651
Sun Jul 10 21:50:50 2022  p43 factor: 5209933864304076255460811229916466919544613
Sun Jul 10 21:50:50 2022  p65 factor: 77172704090104979545771190511534891998987983175666286727553737651
Sun Jul 10 21:50:50 2022  p70 factor: 2846933542404727274612283613541890569769655356278219683213378069621347
Sun Jul 10 21:50:50 2022  elapsed time 00:33:27 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 41x10^187+4 = 45(186)6
#
n: 1144651436345634770288384436898013926539415826121670450089703781889620731969322421183847504093318233614662849801683031798114233507301960180303792798600080519108256614781926572861
m: 10000000000000000000000000000000000000
deg: 5
c5: 1025
c0: 1
skew: 0.25
# Murphy_E = 4.735e-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 3218428 hash collisions in 28935640 relations (27438883 unique)
Msieve: matrix is 1111241 x 1111468 (382.6 MB)

Sieving start time : 2022/07/10 17:44:08
Sieving end time  : 2022/07/10 21:16:52

Total sieving time: 3hrs 32min 44secs.

Total relation processing time: 0hrs 20min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 28sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

80479912961209633165673764226586716030828227422778603193918972831534017145084350147045345430417006689148900371496604954049305178149598439969418665343866284821379579121928450907<176>

19080130953755561206603104543391831761348003717961<50>
4217995838512245201595109751450730915868939345280632322311440447751147004834122887902636731500970312273563854019332961033600387<127>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 80479912961209633165673764226586716030828227422778603193918972831534017145084350147045345430417006689148900371496604954049305178149598439969418665343866284821379579121928450907 (176 digits)
Using B1=17580000, B2=58560416470, polynomial Dickson(12), sigma=1:844344832
Step 1 took 47173ms
Step 2 took 17861ms
********** Factor found in step 2: 19080130953755561206603104543391831761348003717961
Found prime factor of 50 digits: 19080130953755561206603104543391831761348003717961
Prime cofactor 4217995838512245201595109751450730915868939345280632322311440447751147004834122887902636731500970312273563854019332961033600387 has 127 digits

264787466820092773331244909545222319455964630957114002221045418826738235467799214194734676178615066541812758516002747014059759134884813982772616101261<150>

741436529974805412321262396642491097263664239384707849493442891457<66>
357127624705907674368832620031175430586926948736934518776190519170762095135965965773<84>

Number: n
N=264787466820092773331244909545222319455964630957114002221045418826738235467799214194734676178615066541812758516002747014059759134884813982772616101261  ( 150 digits)
SNFS difficulty: 190 digits.
Divisors found:

Tue Jul 12 02:33:09 2022  p66 factor: 741436529974805412321262396642491097263664239384707849493442891457
Tue Jul 12 02:33:09 2022  p84 factor: 357127624705907674368832620031175430586926948736934518776190519170762095135965965773
Tue Jul 12 02:33:09 2022  elapsed time 00:43:53 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 41x10^189+4 = 45(188)6
#
n: 264787466820092773331244909545222319455964630957114002221045418826738235467799214194734676178615066541812758516002747014059759134884813982772616101261
m: 50000000000000000000000000000000000000
deg: 5
c5: 164
c0: 5
skew: 0.50
# Murphy_E = 3.171e-11
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3546019 hash collisions in 28551501 relations (26589335 unique)
Msieve: matrix is 1340241 x 1340466 (464.6 MB)

Sieving start time : 2022/07/11 20:18:48
Sieving end time  : 2022/07/12 01:48:24

Total sieving time: 5hrs 29min 36secs.

Total relation processing time: 0hrs 32min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 9sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116830] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153517] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798712)
[    0.152024] smpboot: Total of 16 processors activated (102389.69 BogoMIPS)

13417054781208848467850674352174124665390483656086373389876953496054806016236399862333452576239961362430858460820739<116>

109028461306168260170111880708553305535243<42>
123060113116076615433142101271490569632534871494569137573711894728016036073<75>

13417054781208848467850674352174124665390483656086373389876953496054806016236399862333452576239961362430858460820739=109028461306168260170111880708553305535243*123060113116076615433142101271490569632534871494569137573711894728016036073

cado polynomial
n: 13417054781208848467850674352174124665390483656086373389876953496054806016236399862333452576239961362430858460820739
skew: 20963.733
c0: -60272386731217423562544360
c1: -22724600744415429828274
c2: -3431041551386585631
c3: 51015894051391
c4: -2463146070
c5: 65520
Y0: -16518455727498892133557
Y1: 417528353479099
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.074e-06
# f(x) = 65520*x^5-2463146070*x^4+51015894051391*x^3-3431041551386585631*x^2-22724600744415429828274*x-60272386731217423562544360
# g(x) = 417528353479099*x-16518455727498892133557

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: 123060113116076615433142101271490569632534871494569137573711894728016036073 109028461306168260170111880708553305535243
Info:Square Root: Total cpu/real time for sqrt: 126.57/37.5959
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.68/116.487
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7163087
Info:Lattice Sieving: Average J: 1892.71 for 144550 special-q, max bucket fill -bkmult 1.0,1s:1.257600
Info:Lattice Sieving: Total time: 16478.3s
Info:Linear Algebra: Total cpu/real time for bwc: 2363.5/609.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1455.42, WCT time 372.46, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Linear Algebra: Lingen CPU time 65.82, WCT time 16.74
Info:Linear Algebra: Mksol: CPU time 806.14,  WCT time 206.08, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.19/1.13268
Info:Generate Free Relations: Total cpu/real time for freerel: 63.52/16.7114
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.18/31.7159
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 324.22
Info:Polynomial Selection (root optimized): Rootsieve time: 323.12
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 127.85/134.427
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.89999999999999s
Info:Filtering - Merging: Merged matrix has 425375 rows and total weight 66093039 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 69.45/20.5909
Info:Filtering - Merging: Total cpu/real time for replay: 14.15/11.4961
Info:Quadratic Characters: Total cpu/real time for characters: 15.17/5.94307
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): 21922/32.940/41.073/46.670/1.083
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17320/32.660/36.356/41.530/0.842
Info:Polynomial Selection (size optimized): Total time: 1785.87
Info:Square Root: Total cpu/real time for sqrt: 126.57/37.5959
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 35233.1/9655.22
Info:root: Cleaning up computation data in /tmp/cado.6gqp01ol
123060113116076615433142101271490569632534871494569137573711894728016036073 109028461306168260170111880708553305535243

cado-nfs-3.0.0

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

1112582750690583437163480425709962835341529041741856116638736337911371325053252707781178041276324673563228048864557887845326066454300093963156930633274009<154>

5783854573918405310307862110387910419751558058357132884515531289<64>
192360083828462973127411397086234265502821594839522284576380066027506596705350479218916481<90>

Number: n
N=1112582750690583437163480425709962835341529041741856116638736337911371325053252707781178041276324673563228048864557887845326066454300093963156930633274009  ( 154 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sun Apr  9 17:10:53 2023  prp64 factor: 5783854573918405310307862110387910419751558058357132884515531289
Sun Apr  9 17:10:53 2023  prp90 factor: 192360083828462973127411397086234265502821594839522284576380066027506596705350479218916481
Sun Apr  9 17:10:53 2023  elapsed time 01:42:54 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.094).
Factorization parameters were as follows:
#
# N = 41x10^191+4 = 45(190)6
#
n: 1112582750690583437163480425709962835341529041741856116638736337911371325053252707781178041276324673563228048864557887845326066454300093963156930633274009
m: 100000000000000000000000000000000000000
deg: 5
c5: 205
c0: 2
skew: 0.40
# Murphy_E = 3.462e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 16800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1364742 hash collisions in 12802959 relations (12206095 unique)
Msieve: matrix is 1827682 x 1827907 (524.3 MB)

Sieving start time: 2023/04/09 09:23:25
Sieving end time  : 2023/04/09 15:27:42

Total sieving time: 6hrs 4min 17secs.

Total relation processing time: 1hrs 36min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 32sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,27,27,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5640349728148573586518947720810630854352960833729792148635506627625785205958262599425424167208518297602630505368860882248614973674222770184547604703<148>

26396360537275640842917414002510529723566085842187053605139669<62>
213679068377004071377512514833182161247871917590473086124013222740777415932248017551587<87>

P62 = 26396360537275640842917414002510529723566085842187053605139669
P87 = 213679068377004071377512514833182161247871917590473086124013222740777415932248017551587

yafu2

63335684514928256176486776747333274040438279760285075618403109771881903952478644827135456041415720359646818652237005114043902970442555356592231251654990981<155>

5802503247945095916485558685212048679499035209<46>
10915234651072020758194836029695475609039277309880896048420926291674564880049741705091826366924125615352354909<110>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 63335684514928256176486776747333274040438279760285075618403109771881903952478644827135456041415720359646818652237005114043902970442555356592231251654990981 (155 digits)
Using B1=23970000, B2=96188942866, polynomial Dickson(12), sigma=1:2225904565
Step 1 took 54002ms
Step 2 took 18425ms
********** Factor found in step 2: 5802503247945095916485558685212048679499035209
Found prime factor of 46 digits: 5802503247945095916485558685212048679499035209
Prime cofactor 10915234651072020758194836029695475609039277309880896048420926291674564880049741705091826366924125615352354909 has 110 digits

283954560123921842163484702649990709397768658355273574113442100793354790826547000854421196144394106056428708089577578876607121<126>

4775785482204817011687973845525747141370811208517<49>
59457142952080360593661800423530395606324830436582840863048715963539996629213<77>

283954560123921842163484702649990709397768658355273574113442100793354790826547000854421196144394106056428708089577578876607121=4775785482204817011687973845525747141370811208517*59457142952080360593661800423530395606324830436582840863048715963539996629213

cado polynomial
n: 283954560123921842163484702649990709397768658355273574113442100793354790826547000854421196144394106056428708089577578876607121
skew: 22100.61
c0: -3760057526857849588076900600
c1: 518943396862664501751382
c2: 53935047219032851583
c3: -317200317024183
c4: -56883847244
c5: 900480
Y0: -1345819582656182773056123
Y1: 1540509964755883
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.346e-07
# f(x) = 900480*x^5-56883847244*x^4-317200317024183*x^3+53935047219032851583*x^2+518943396862664501751382*x-3760057526857849588076900600
# g(x) = 1540509964755883*x-1345819582656182773056123

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

cado log (extracts)
Info:Square Root: Factors: 59457142952080360593661800423530395606324830436582840863048715963539996629213 4775785482204817011687973845525747141370811208517
Info:Square Root: Total cpu/real time for sqrt: 583.8/172.325
Info:Generate Free Relations: Total cpu/real time for freerel: 126.59/32.8369
Info:Filtering - Singleton removal: Total cpu/real time for purge: 117.39/136.039
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12022501
Info:Lattice Sieving: Average J: 3796.13 for 228760 special-q, max bucket fill -bkmult 1.0,1s:1.162420
Info:Lattice Sieving: Total time: 67631.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.56/2.2854
Info:Linear Algebra: Total cpu/real time for bwc: 9583.63/2466.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6021.83, WCT time 1541.82, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 144.94, WCT time 36.89
Info:Linear Algebra: Mksol: CPU time 3292.2,  WCT time 842.0, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.3/56.6829
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2461.64
Info:Polynomial Selection (root optimized): Rootsieve time: 2459.22
Info:Filtering - Merging: Merged matrix has 799947 rows and total weight 136556871 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 165.05/47.7553
Info:Filtering - Merging: Total cpu/real time for replay: 29.99/24.7124
Info:Quadratic Characters: Total cpu/real time for characters: 29.85/12.0244
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20098/36.870/44.698/49.370/0.872
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15882/36.520/40.078/45.490/0.992
Info:Polynomial Selection (size optimized): Total time: 1951.78
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 180.26/171.655
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 141.8s
Info:Square Root: Total cpu/real time for sqrt: 583.8/172.325
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 141072/38179.5
Info:root: Cleaning up computation data in /tmp/cado.jxv5jzqp
59457142952080360593661800423530395606324830436582840863048715963539996629213 4775785482204817011687973845525747141370811208517

cado-nfs-3.0.0

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

260478212585798981974907689062710447336387916860437044321956153257756532920634194563247921892113736223243805065729453351528689451521828074214689954689497264343455135486789307432904624314179925643<195>

748802289624789299641325082889675330888565082039767473347833<60>
34975415494451083515279209935724917687485734255465916461820937261<65>
9945837447463596428662653052739819467381578014215350691256192385629711<70>

Number: n
N=260478212585798981974907689062710447336387916860437044321956153257756532920634194563247921892113736223243805065729453351528689451521828074214689954689497264343455135486789307432904624314179925643  ( 195 digits)
SNFS difficulty: 200 digits.
Divisors found:

Sun Sep  4 06:51:01 2022  found factor: 34975415494451083515279209935724917687485734255465916461820937261
Sun Sep  4 06:54:05 2022  p60 factor: 748802289624789299641325082889675330888565082039767473347833
Sun Sep  4 06:54:05 2022  p65 factor: 34975415494451083515279209935724917687485734255465916461820937261
Sun Sep  4 06:54:05 2022  p70 factor: 9945837447463596428662653052739819467381578014215350691256192385629711
Sun Sep  4 06:54:05 2022  elapsed time 01:50:48 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 41x10^199+4 = 45(198)6
#
n: 260478212585798981974907689062710447336387916860437044321956153257756532920634194563247921892113736223243805065729453351528689451521828074214689954689497264343455135486789307432904624314179925643
m: 5000000000000000000000000000000000000000
deg: 5
c5: 164
c0: 5
skew: 0.50
# Murphy_E = 1.218e-11
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3802209 hash collisions in 27351078 relations (24922114 unique)
Msieve: matrix is 2213794 x 2214019 (773.9 MB)

Sieving start time : 2022/09/03 19:48:00
Sieving end time  : 2022/09/04 05:02:47

Total sieving time: 9hrs 14min 47secs.

Total relation processing time: 1hrs 36min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 10sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

158095244372468325668265940221650369342645200125896622635420547662232776458266263910462355139746510032386352733696426404486308410816862018231412780580709537<156>

4577588291247450872944649390399548123<37>
34536798487263118686153427809870520410878959524573105510428067785794411628166378055042917381635987990766127662400602419<119>

GPU: factor 4577588291247450872944649390399548123 found in Step 1 with curve 1495 (-sigma 3:1034466920)
Computing 1792 Step 1 took 216ms of CPU time / 178371ms of GPU time
Throughput: 10.046 curves per second (on average 99.54ms per Step 1)
********** Factor found in step 1: 4577588291247450872944649390399548123
Found prime factor of 37 digits: 4577588291247450872944649390399548123
Prime cofactor 34536798487263118686153427809870520410878959524573105510428067785794411628166378055042917381635987990766127662400602419 has 119 digits
Peak memory usage: 9428MB

3865011415725415101225060446177039113052151115188936500413407854496832292384382686375691001836933728948350964405576746764980339<127>

505835201984941812375202154859318305851809603809<48>
7640851013450171997714623071142942764686165497546199371709524703469589663881171<79>

3865011415725415101225060446177039113052151115188936500413407854496832292384382686375691001836933728948350964405576746764980339=505835201984941812375202154859318305851809603809*7640851013450171997714623071142942764686165497546199371709524703469589663881171

cado polynomial
n: 3865011415725415101225060446177039113052151115188936500413407854496832292384382686375691001836933728948350964405576746764980339
skew: 23324.668
c0: 4185736306587882722042286690
c1: 353623346232982115537319
c2: -79646394991080633289
c3: -1507639773196961
c4: 64512208596
c5: -415980
Y0: -1947404285352895233362033
Y1: 60069296219337857
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.093e-07
# f(x) = -415980*x^5+64512208596*x^4-1507639773196961*x^3-79646394991080633289*x^2+353623346232982115537319*x+4185736306587882722042286690
# g(x) = 60069296219337857*x-1947404285352895233362033

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

cado log (extracts)
Info:Square Root: Factors: 505835201984941812375202154859318305851809603809 7640851013450171997714623071142942764686165497546199371709524703469589663881171
Info:Square Root: Total cpu/real time for sqrt: 617.16/181.666
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20132/36.840/45.128/48.840/0.854
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15995/36.100/40.511/45.930/1.047
Info:Polynomial Selection (size optimized): Total time: 1937.57
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 197.96/196.011
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 158.9s
Info:Quadratic Characters: Total cpu/real time for characters: 32.1/12.7085
Info:Square Root: Total cpu/real time for sqrt: 617.16/181.666
Info:Linear Algebra: Total cpu/real time for bwc: 11271.1/2902.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7122.47, WCT time 1823.13, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Linear Algebra: Lingen CPU time 150.24, WCT time 38.15
Info:Linear Algebra: Mksol: CPU time 3861.79,  WCT time 992.1, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 137.38/159.194
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12331316
Info:Lattice Sieving: Average J: 3798.16 for 274729 special-q, max bucket fill -bkmult 1.0,1s:1.203770
Info:Lattice Sieving: Total time: 79428s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.54/2.28619
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.1/57.8596
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 57.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2750.4
Info:Polynomial Selection (root optimized): Rootsieve time: 2747.97
Info:Generate Free Relations: Total cpu/real time for freerel: 126.59/32.1799
Info:Filtering - Merging: Merged matrix has 851933 rows and total weight 145187227 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 177.75/51.1172
Info:Filtering - Merging: Total cpu/real time for replay: 32.34/26.7491
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 165159/44619.2
Info:root: Cleaning up computation data in /tmp/cado.6lu820h5
505835201984941812375202154859318305851809603809 7640851013450171997714623071142942764686165497546199371709524703469589663881171

cado-nfs-3.0.0

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

14217723677667865572405064702782559799591981976105682813576160746954865735936519024591005669879395297649577523056091004038713237364457<134>

801765688755813951828190155063677571145789824832759149041938849<63>
17733015863688350772425154860090860081556974180080651830728584690923593<71>

14217723677667865572405064702782559799591981976105682813576160746954865735936519024591005669879395297649577523056091004038713237364457=801765688755813951828190155063677571145789824832759149041938849*17733015863688350772425154860090860081556974180080651830728584690923593

cado polynomial
n: 14217723677667865572405064702782559799591981976105682813576160746954865735936519024591005669879395297649577523056091004038713237364457
skew: 75148.869
c0: 3396289129957627818412914353880
c1: 221709758342864272028276439
c2: 767413428205639435732
c3: -24590584711820867
c4: -473217849320
c5: 2486400
Y0: -41032644575324124084621700
Y1: 3605750661217274273
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.340e-07
# f(x) = 2486400*x^5-473217849320*x^4-24590584711820867*x^3+767413428205639435732*x^2+221709758342864272028276439*x+3396289129957627818412914353880
# g(x) = 3605750661217274273*x-41032644575324124084621700

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: 17733015863688350772425154860090860081556974180080651830728584690923593 801765688755813951828190155063677571145789824832759149041938849
Info:Square Root: Total cpu/real time for sqrt: 452.57/134.008
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.17/85.9227
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.8s
Info:Filtering - Merging: Merged matrix has 1240410 rows and total weight 211163749 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 321.06/90.7647
Info:Filtering - Merging: Total cpu/real time for replay: 46.16/40.8993
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): 53898/38.690/47.841/53.560/0.975
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44074/38.680/42.650/48.450/1.001
Info:Polynomial Selection (size optimized): Total time: 11203
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 200.36/171.603
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 159.8s
Info:Quadratic Characters: Total cpu/real time for characters: 41.54/18.0723
Info:Square Root: Total cpu/real time for sqrt: 452.57/134.008
Info:Linear Algebra: Total cpu/real time for bwc: 24223.4/6457.53
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15454.72, WCT time 4160.86, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Linear Algebra: Lingen CPU time 239.95, WCT time 61.36
Info:Linear Algebra: Mksol: CPU time 8319.21,  WCT time 2153.35, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19456 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 94.86/103.884
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17012678
Info:Lattice Sieving: Average J: 3800.59 for 562437 special-q, max bucket fill -bkmult 1.0,1s:1.177940
Info:Lattice Sieving: Total time: 227065s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.2/4.08885
Info:Generate Free Relations: Total cpu/real time for freerel: 247.6/62.8102
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6230.24
Info:Polynomial Selection (root optimized): Rootsieve time: 6227.73
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 431769/44946.6
Info:root: Cleaning up computation data in /tmp/cado.3tv1qpuh
17733015863688350772425154860090860081556974180080651830728584690923593 801765688755813951828190155063677571145789824832759149041938849

cado-nfs-3.0.0

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

269718454846717871178546989886558074221125406044774811748438615045352176226823558745873777325535361080245757677574600739<120>

513370154973624859398785981244539807<36>
525387875071496998600806447370047294020271335907164814138352254801374962184278170877<84>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2216429786
Step 1 took 4828ms
Step 2 took 2875ms
********** Factor found in step 2: 513370154973624859398785981244539807
Found prime factor of 36 digits: 513370154973624859398785981244539807
Prime cofactor 525387875071496998600806447370047294020271335907164814138352254801374962184278170877 has 84 digits

GMP-ECM

216762690427532239347543475414356129490838360708671513526626082402335261090567175193470168997325375990315083904124651181054278523471235813115717864399557721<156>

930014804265136436167072961163791297434232294378056414985140736981850267010540614006514462162800309291555926051734032786018210644308191251127956132416376425572076001023260596179040887<183>

2575255886218411345999572381900649391598937436859122448266877913022679587667614612077271746277247777554170193511008402369034419739575050116991990577327145684361061427515842848589777314482962735167970751123<205>

2589573356277284383583196182675435462563147330619572536060565570935982716996959287048371983898825802835941804525219724029473996691922344553177156544766322259475891<163>

2140520744056913779358888133348105544821463673505295456357122041186684007023857801386811592683104674185966734707505713171004525614703253<136>

41530564167501470253966525255492985477847808519843041163019166374213<68>
51540853994271422780904242979443936879380561253220433511113646584081<68>

2140520744056913779358888133348105544821463673505295456357122041186684007023857801386811592683104674185966734707505713171004525614703253=41530564167501470253966525255492985477847808519843041163019166374213*51540853994271422780904242979443936879380561253220433511113646584081

cado polynomial
n: 2140520744056913779358888133348105544821463673505295456357122041186684007023857801386811592683104674185966734707505713171004525614703253
skew: 124860.683
c0: 6687004919520644152759598021730
c1: 73066642609458078816034589
c2: -1828256703080973148919
c3: -14588803602657976
c4: 113383130136
c5: 158760
Y0: -151345625749398717180194253
Y1: 3993285439083798847
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.267e-07
# f(x) = 158760*x^5+113383130136*x^4-14588803602657976*x^3-1828256703080973148919*x^2+73066642609458078816034589*x+6687004919520644152759598021730
# g(x) = 3993285439083798847*x-151345625749398717180194253

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: 51540853994271422780904242979443936879380561253220433511113646584081 41530564167501470253966525255492985477847808519843041163019166374213
Info:Square Root: Total cpu/real time for sqrt: 928.73/275.349
Info:Square Root: Total cpu/real time for sqrt: 928.73/275.349
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 192.18/159.021
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.3s
Info:Quadratic Characters: Total cpu/real time for characters: 45.51/20.5602
Info:Filtering - Merging: Merged matrix has 1350629 rows and total weight 230109694 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 350.3/96.7997
Info:Filtering - Merging: Total cpu/real time for replay: 49.72/42.1423
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 77.58/84.3924
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 84.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.29/94.9688
Info:Linear Algebra: Total cpu/real time for bwc: 28610.6/7367.09
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 18184.08, WCT time 4651.27, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42240 iterations)
Info:Linear Algebra: Lingen CPU time 260.08, WCT time 66.0
Info:Linear Algebra: Mksol: CPU time 9933.21,  WCT time 2564.72, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (21248 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7011.38
Info:Polynomial Selection (root optimized): Rootsieve time: 7008.88
Info:Generate Free Relations: Total cpu/real time for freerel: 249.38/63.2263
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17023461
Info:Lattice Sieving: Average J: 3790.42 for 649678 special-q, max bucket fill -bkmult 1.0,1s:1.176810
Info:Lattice Sieving: Total time: 214645s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.1/4.14609
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): 54532/41.070/48.637/53.650/0.960
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44450/39.500/43.518/49.430/1.147
Info:Polynomial Selection (size optimized): Total time: 11139.4
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 453764/14100.5
51540853994271422780904242979443936879380561253220433511113646584081 41530564167501470253966525255492985477847808519843041163019166374213

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)

5301301056617006879536400957260861026993897725912179101425065165464350995891758778752005009829077472667819474394842514859292550687560191206500815902147875116338518553045051902104739608721674049<193>

281762584671184743112974755440098983873<39>

18814780048967798952478467571743098742767914550526780974376833903045071963315588148029059605963745754927926465648467543456588691184984029414587489171926913<155>

GPU: factor 281762584671184743112974755440098983873 found in Step 1 with curve 814 (-sigma 3:1428746393)
Computing 1792 Step 1 took 251ms of CPU time / 175250ms of GPU time
Throughput: 10.225 curves per second (on average 97.80ms per Step 1)
********** Factor found in step 1: 281762584671184743112974755440098983873
Found prime factor of 39 digits: 281762584671184743112974755440098983873
Composite cofactor 18814780048967798952478467571743098742767914550526780974376833903045071963315588148029059605963745754927926465648467543456588691184984029414587489171926913 has 155 digits
Peak memory usage: 9428MB

564713380600502085112710952788812722572407029485728177206620975548956774854273326647008937911034862393023196496348898432156591797063292454234707235425177284259523382600898252575647526037123<189>

803825625634803641299169739408047000323887312641<48>
702532194285958587162593470433949965382758349199307237962538098731664873612265429960709140696715608368491834656401353640401681526611421731203<141>

Resuming ECM residue saved by @88cb9021ae22 with GMP-ECM 7.0.5-dev on Tue Feb 20 22:14:29 2024 
Input number is 564713380600502085112710952788812722572407029485728177206620975548956774854273326647008937911034862393023196496348898432156591797063292454234707235425177284259523382600898252575647526037123 (189 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3956323328
Step 1 took 0ms
Step 2 took 8010ms
********** Factor found in step 2: 803825625634803641299169739408047000323887312641
Found prime factor of 48 digits: 803825625634803641299169739408047000323887312641
Prime cofactor 702532194285958587162593470433949965382758349199307237962538098731664873612265429960709140696715608368491834656401353640401681526611421731203 has 141 digits

1998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208576998050682261208577<217>

1857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782853<217>

316051053973611105316938738262574027592533<42>
4511682922862096451680473806426291217848294194174360251601926651<64>
1302941953751679372029934731450317804515975588027569680451875868608583108502495010129594599021211369975860637891<112>

Number: 45556_219
N = 1857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782853 (217 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=316051053973611105316938738262574027592533 (pp42)
r2=4511682922862096451680473806426291217848294194174360251601926651 (pp64)
r3=1302941953751679372029934731450317804515975588027569680451875868608583108502495010129594599021211369975860637891 (pp112)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 26.60 hours.
Factorization parameters were as follows:
n: 1857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782852999818742069965560993293456588725756751857893782853
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 41
c0: 40
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30325746
Relations: 7406910 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.10 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6410263 x 6410488
Matrix solve time: 14.02 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 26.60 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

451071405763486251582438346487201690421285475121590091285323550615848772562150957970038753184030654359730990370077399271014877334041202544997154997219533695847816435918259<171>

42763378979057583773652133551848437509031543141638699474268348258443604990621994839<83>
10548076801517215614493325847854094177817864607738439635409541369386007041012606328491781<89>

Number: 45556_220
N = 451071405763486251582438346487201690421285475121590091285323550615848772562150957970038753184030654359730990370077399271014877334041202544997154997219533695847816435918259 (171 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=42763378979057583773652133551848437509031543141638699474268348258443604990621994839 (pp83)
r2=10548076801517215614493325847854094177817864607738439635409541369386007041012606328491781 (pp89)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 37.47 hours.
Factorization parameters were as follows:
n: 451071405763486251582438346487201690421285475121590091285323550615848772562150957970038753184030654359730990370077399271014877334041202544997154997219533695847816435918259
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 41
c0: 4
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30456850
Relations: 7060864 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 16.96 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 6191116 x 6191342
Matrix solve time: 19.93 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 37.47 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

7078370881119288517988154971975564029343489410645485870223381407506849292234941044871033636300207926552812016161754413280023849414527001767547913593956700533095477967874538618037528032141847748400713920705493209<211>

6255388683504541003654459513995614044822025502909443238359517028182813166749731645656435303398754647635360092189091980833841710332312459023480507<145>

642475178325322906896403918608911755826443138563544073618521049<63>
9736389660702300963538073246300532836546898266793737321898315716662768035632254643<82>

Number: 45556_222
N = 6255388683504541003654459513995614044822025502909443238359517028182813166749731645656435303398754647635360092189091980833841710332312459023480507 (145 digits)
Divisors found:
r1=642475178325322906896403918608911755826443138563544073618521049 (pp63)
r2=9736389660702300963538073246300532836546898266793737321898315716662768035632254643 (pp82)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 71.75 hours.
Factorization parameters were as follows:
n: 6255388683504541003654459513995614044822025502909443238359517028182813166749731645656435303398754647635360092189091980833841710332312459023480507
# norm 4.908453e-14 alpha -7.454963 e 9.630e-12 rroots 5
skew: 14448847.37
c0: -201181625440933375762592119931784866775
c1: 1758070927327276973874222110647
c2: 9004140463486864387659651
c3: 228502093927295925
c4: -52326928208
c5: 240
Y0: -30423531773154884052413182178
Y1: 1633581218904017
type: gnfs
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 41428303
Relations: 5700186 relations
Pruned matrix : 3325214 x 3325442
Polynomial selection time: 0.69 hours.
Total sieving time: 65.27 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.05 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: gnfs,144,5,65,2000,1e-05,0.28,250,20,50000,3600,15900000,15900000,29,29,58,58,2.6,2.6,100000
total time: 71.75 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

7377692001020350619227618726963194146249066173860519646495169159208852782403415245716869360998163299701926230564432679717238061143320488738846724208401783681016893431779<169>

468038294360476448507280654128942334929<39>

15763009330467641175517821139809852932971718045089094443294758836719354265079532425121287696702508640787161813208518675002792417651<131>

GPU: factor 468038294360476448507280654128942334929 found in Step 1 with curve 807 (-sigma 3:1414397901)
Computing 1792 Step 1 took 871ms of CPU time / 653843ms of GPU time
Throughput: 2.741 curves per second (on average 364.87ms per Step 1)
********** Factor found in step 1: 468038294360476448507280654128942334929
Found prime factor of 39 digits: 468038294360476448507280654128942334929
Composite cofactor 15763009330467641175517821139809852932971718045089094443294758836719354265079532425121287696702508640787161813208518675002792417651 has 131 digits
Peak memory usage: 9470MB

15763009330467641175517821139809852932971718045089094443294758836719354265079532425121287696702508640787161813208518675002792417651<131>

7561890296495845454712313503915053765964327359<46>
2084532929256083854373341388118879105902341860732529909812240440634415944548618925389<85>

CADO:



STA:Tue 27 Feb 2024 06:56:01 AEDT (15763009330467641175517821139809852932971718045089094443294758836719354265079532425121287696702508640787161813208518675002792417651 - C131)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 15763009330467641175517821139809852932971718045089094443294758836719354265079532425121287696702508640787161813208518675002792417651 2>&1 | tee -a log-41



Debug:root: Looking for parameter file for c131 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

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

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

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.tw0123fy

Info:Database: Opened connection to database /tmp/cado.tw0123fy/c130.db

Info:root: Set tasks.threads=30 based on --server-threads 30

Info:root: tasks.threads = 30 [via tasks.threads]

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

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

Info:root: tasks.linalg.bwc.threads = 30 [via tasks.threads]

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

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

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 30 --no-colors --screenlog DEBUG 15763009330467641175517821139809852932971718045089094443294758836719354265079532425121287696702508640787161813208518675002792417651

Debug:root: Root parameter dictionary:

N = 15763009330467641175517821139809852932971718045089094443294758836719354265079532425121287696702508640787161813208518675002792417651

name = c130

===

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

n: 15763009330467641175517821139809852932971718045089094443294758836719354265079532425121287696702508640787161813208518675002792417651

skew: 198433.674

c0: -7910643468738841024328316848562

c1: 334060057429877598641705021

c2: 686462507566734237336

c3: -10440815947901939

c4: 8806645698

c5: 70560

Y0: -16731108394575980757369965

Y1: 10788325455303928657

# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.517e+13) = 1.578e-06

# f(x) = 70560*x^5+8806645698*x^4-10440815947901939*x^3+686462507566734237336*x^2+334060057429877598641705021*x-7910643468738841024328316848562

# g(x) = 10788325455303928657*x-16731108394575980757369965

===

Debug:Command: Process with PID 1239509 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 7561890296495845454712313503915053765964327359 2084532929256083854373341388118879105902341860732529909812240440634415944548618925389

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

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 1896.58/262.647

Info:HTTP server: Got notification to stop serving Workunits

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

Info:Polynomial Selection (root optimized): Total time: 691.64

Info:Polynomial Selection (root optimized): Rootsieve time: 690.6

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 33719810

Info:Lattice Sieving: Average J: 3909.31 for 266323 special-q, max bucket fill -bkmult 1.0,1s:1.347130

Info:Lattice Sieving: Total time: 581012s

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

Info:Polynomial Selection (size optimized): potential collisions: 55661.1

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38340/38.930/48.079/59.420/2.307

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 31890/37.920/42.088/53.080/1.609

Info:Polynomial Selection (size optimized): Total time: 6422.83

Info:Square Root: Total cpu/real time for sqrt: 1896.58/262.647

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 976.86/2054.49

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

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1685.1s

Info:Quadratic Characters: Total cpu/real time for characters: 53.77/14.7358

Info:Filtering - Singleton removal: Total cpu/real time for purge: 501.93/1808.56

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 272.17/1732.98

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

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1729.3s

Info:Filtering - Merging: Total cpu/real time for merge: 110.38/21.9196

Info:Filtering - Merging: Total cpu/real time for replay: 24.04/21.7182

Info:Generate Factor Base: Total cpu/real time for makefb: 3.41/0.829912

Info:Generate Free Relations: Total cpu/real time for freerel: 276.65/31.5624

Info:Linear Algebra: Total cpu/real time for bwc: 15316.7/6240.86

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 8710.51, WCT time 3680.04, iteration CPU time 0.02, COMM 0.05, cpu-wait 0.01, comm-wait 0.01 (39000 iterations)

Info:Linear Algebra: Lingen CPU time 251.99, WCT time 35.09

Info:Linear Algebra: Mksol: CPU time 5173.9,  WCT time 2124.35, iteration CPU time 0.03, COMM 0.05, cpu-wait 0.01, comm-wait 0.0 (21000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 268484/49638.8 [13:47:19]

Info:root: Cleaning up computation data in /tmp/cado.tw0123fy

7561890296495845454712313503915053765964327359 2084532929256083854373341388118879105902341860732529909812240440634415944548618925389



END:Tue 27 Feb 2024 20:43:23 AEDT (15763009330467641175517821139809852932971718045089094443294758836719354265079532425121287696702508640787161813208518675002792417651 - C131)

2349203743212869379478210692098942735036899800047838199086865763121065092703332998954176463065667442024847804974873741217615042705907322017058492088905106724826216555835193375904236702039554174264047<199>

65102478319239218408734991965369698904467562620311364765610149985757165609075318505300704123634801823578216019715393178669026259945253071212590440759847418337086697630929706008704055267672396427879731752129421084690747<218>

2337978264642336378684486913954349237<37>
27845630262605793457310614342229755807735242708798723298139578937739059626230258930882629884943906894246432412439586807035006126524350049032971975093615191859256374465339742654941231<182>

Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep  7 16:08:20 2022 
Input number is 65102478319239218408734991965369698904467562620311364765610149985757165609075318505300704123634801823578216019715393178669026259945253071212590440759847418337086697630929706008704055267672396427879731752129421084690747 (218 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4248364220
Step 1 took 1ms
Step 2 took 5484ms
********** Factor found in step 2: 2337978264642336378684486913954349237
Found prime factor of 37 digits: 2337978264642336378684486913954349237
Prime cofactor 27845630262605793457310614342229755807735242708798723298139578937739059626230258930882629884943906894246432412439586807035006126524350049032971975093615191859256374465339742654941231 has 182 digits

61221946226271228101027195973693762559257830805735975544272540661909228190667325723910432806511562175799271585785985400014460043252643661859312988122292713928482611099116326196169300754183<188>

7525392344038794961346758310233866214074153219175994794278643164859034387320696239314759651853471463121212786650362188323303160034119908632486217170503431053966879155113262183942423538875145319914817257447041996968067146587<223>

8826371060224381796565695168615074311998401<43>
852603215148252142503298016646388679307472902267305133846089909238651771681512667867907401284754243496065750013080942896485689364182292548498122491635966173054722233925720372405787<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1318598683
Step 1 took 9484ms
Step 2 took 4422ms
********** Factor found in step 2: 8826371060224381796565695168615074311998401
Found prime factor of 43 digits: 8826371060224381796565695168615074311998401
Prime cofactor 852603215148252142503298016646388679307472902267305133846089909238651771681512667867907401284754243496065750013080942896485689364182292548498122491635966173054722233925720372405787 has 180 digits

GMP-ECM

1138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<232>

129249803242094281660602229264779833618703691463454474780272713456217335662124250689287596924939650757436608904134776945670565933147922959496774771283<150>

4250418438222601209038897207121488773700456897<46>
30408724486933740998532733016754580259630182487667761968732140856637442062207406313492506473328313585939<104>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3803465139
Step 1 took 6000ms
Step 2 took 3531ms
********** Factor found in step 2: 4250418438222601209038897207121488773700456897
Found prime factor of 46 digits: 4250418438222601209038897207121488773700456897
Prime cofactor 30408724486933740998532733016754580259630182487667761968732140856637442062207406313492506473328313585939 has 104 digits

GMP-ECM

44189135515908147536297465091468263787900295357909329895660549215632728243735436939526996451905558214066697185554483922467365068887774336925947402750731764878239581324958807<173>

783647618234367835154912191232929837<36>

56389038245876950673183488206055100223527336086956480549608639071104355126077278343759505345602129951846632389269337031143013314287553811<137>

GPU: factor 783647618234367835154912191232929837 found in Step 1 with curve 209 (-sigma 3:219616960)
Computing 1792 Step 1 took 251ms of CPU time / 178347ms of GPU time
Throughput: 10.048 curves per second (on average 99.52ms per Step 1)
********** Factor found in step 1: 783647618234367835154912191232929837
Found prime factor of 36 digits: 783647618234367835154912191232929837
Composite cofactor 56389038245876950673183488206055100223527336086956480549608639071104355126077278343759505345602129951846632389269337031143013314287553811 has 137 digits
Peak memory usage: 9428MB

56389038245876950673183488206055100223527336086956480549608639071104355126077278343759505345602129951846632389269337031143013314287553811<137>

561556679085843108525508057149093877341947<42>
100415577529364520929647212707379403287856202075620702749443472080947124910753043020315696205513<96>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3171287920
Step 1 took 5938ms
Step 2 took 3375ms
********** Factor found in step 2: 561556679085843108525508057149093877341947
Found prime factor of 42 digits: 561556679085843108525508057149093877341947
Prime cofactor 100415577529364520929647212707379403287856202075620702749443472080947124910753043020315696205513 has 96 digits

GMP-ECM

458856692310274844148051839599927074860139201277827684568438187095522056631444945512587465056839395630193816199717062946196882564641002013152078849069395204946826797650996472882177792781665125720377<198>

742199903400483905959536295683119638435813232806047497417155066165473315028259195419563483662871930471108861180494457982895487372499159318042538994518938119082003235992738095228612325772005262547324178830574809673<213>

90767322062667752904567726595737229<35>
8176950542708011037675427822555434508050491272520108421672511835257740567400411659467582903150519526890363383292488193937936870862623013876616303738110963712229650316238836881837<178>

Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep  7 17:26:44 2022 
Input number is 742199903400483905959536295683119638435813232806047497417155066165473315028259195419563483662871930471108861180494457982895487372499159318042538994518938119082003235992738095228612325772005262547324178830574809673 (213 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3691004210
Step 1 took 0ms
Step 2 took 5482ms
********** Factor found in step 2: 90767322062667752904567726595737229
Found prime factor of 35 digits: 90767322062667752904567726595737229
Prime cofactor 8176950542708011037675427822555434508050491272520108421672511835257740567400411659467582903150519526890363383292488193937936870862623013876616303738110963712229650316238836881837 has 178 digits

7815328757477141565713363720321516669221533938473597950252266696212597593368181320168248372304497866146448187558480725053399112316700774588030766919853595309858641422416068791127714784723134051<193>

1080045729452295955416302361973606653815070819019961447319863361254675531134088372755581995075012547760544146637376669446440948489205164211785945810639070012557718038920612202794991862724733676265238536423604429974571297975460075509<232>

125991509477467676097710814315137614253357323398941734943162293928523823627229338502658987386812791669709443944531080571068761205452606136870561430478631471611996967299981216597562999923739830690692513186817379909603973<219>

6055618224170143631598544863771168497351743<43>
20805722027618978080726160560430246392466682150600806672069430754802381948145736884377489343659021439272256527873317724374599104286770833902911847466736855233627447099523223611<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3809831764
Step 1 took 9531ms
Step 2 took 4297ms
********** Factor found in step 2: 6055618224170143631598544863771168497351743
Found prime factor of 43 digits: 6055618224170143631598544863771168497351743
Prime cofactor 20805722027618978080726160560430246392466682150600806672069430754802381948145736884377489343659021439272256527873317724374599104286770833902911847466736855233627447099523223611 has 176 digits
 

GMP-ECM

7234556425316902922016768986137109070409832255605366813584810467596600779864889500429973567034763404203006974686228098453245770920682864533035862598929873848931464170738308847394479303435125233939586227529300110563<214>

6565112864171184958765912157228136710095811<43>
1101969848043158067939991242559442969291001073414817875486331130466277789359261318143716833506152022070956208571073023849009456716747693597389238933345157543704287677300833<172>

Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep  7 17:16:23 2022 
Input number is 7234556425316902922016768986137109070409832255605366813584810467596600779864889500429973567034763404203006974686228098453245770920682864533035862598929873848931464170738308847394479303435125233939586227529300110563 (214 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4195138784
Step 1 took 0ms
Step 2 took 5448ms
********** Factor found in step 2: 6565112864171184958765912157228136710095811
Found prime factor of 43 digits: 6565112864171184958765912157228136710095811
Prime cofactor 1101969848043158067939991242559442969291001073414817875486331130466277789359261318143716833506152022070956208571073023849009456716747693597389238933345157543704287677300833 has 172 digits

26589330210235898146912384620648729614023234207795988917047203515388455090324731115751958418503520109688754999379047058794912984263881489794614421304680000688641021682499606104988453026662532172260035377503545906906734970173840607<230>

17875856925948771027168082849352451563<38>

1487443668876011362981874482306128790826870181502852618992157730641002479806007417467116599800980625975183678769561910669872082082240319189460136325390761767895291930919114016175778056878490589<193>

Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep  7 16:48:26 2022 
Input number is 26589330210235898146912384620648729614023234207795988917047203515388455090324731115751958418503520109688754999379047058794912984263881489794614421304680000688641021682499606104988453026662532172260035377503545906906734970173840607 (230 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3816174401
Step 1 took 0ms
Step 2 took 5754ms
********** Factor found in step 2: 17875856925948771027168082849352451563
Found prime factor of 38 digits: 17875856925948771027168082849352451563
Composite cofactor 1487443668876011362981874482306128790826870181502852618992157730641002479806007417467116599800980625975183678769561910669872082082240319189460136325390761767895291930919114016175778056878490589 has 193 digits

3462460085537074419952061256378258353955486925144890039425778263850357737056810537224365349314212559058264012381299111563323006381792635331752741178448322267880715364310799354923926109387058606383606007584716535157637<217>

5459571253258104573359064298556972232971676577<46>
634199999399363915524443032406202227144565088712925775357928619797217100932897443822860596504693560814414632141475866475815670484069949210585782383678328312543277308263781<171>

Resuming ECM residue saved by @88cb9021ae22 with GMP-ECM 7.0.5-dev on Tue Feb 20 22:36:07 2024 
Input number is 3462460085537074419952061256378258353955486925144890039425778263850357737056810537224365349314212559058264012381299111563323006381792635331752741178448322267880715364310799354923926109387058606383606007584716535157637 (217 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2845410963
Step 1 took 0ms
Step 2 took 9578ms
********** Factor found in step 2: 5459571253258104573359064298556972232971676577
Found prime factor of 46 digits: 5459571253258104573359064298556972232971676577
Prime cofactor 634199999399363915524443032406202227144565088712925775357928619797217100932897443822860596504693560814414632141475866475815670484069949210585782383678328312543277308263781 has 171 digits

165122416023781376318366190846112259449065324785844708111286536471575153945313956101379891461653370575118178063651769283902442122966111678265265110778184140082285269574376258760157735262037576466450047473784656425462683415995209555187<234>

104715830838816006019997204800021533337898475940455500041818004809710832666651049619112269368359284881624769036563538978738277409006976387279770201334767229270409262076499086094371335396163337547812525598380735044039305459<222>

52799670324009684232215525678668933189100087570184927625817750991603564621645289239169628599392159892855303147375470045845567403286457528460310101478390769072271158502034719002730129294802451965177973522897027764899809406068098696749600782980477<245>

1556657546420470272195141132208352807<37>
33918616490455707670459596156822193878995528986842506328816667741477740732753025749479402300067852700649458564800803603168129315886542812313566593821002869575885992635570303970980352522546448615798108315322811<209>

GPU: factor 1556657546420470272195141132208352807 found in Step 1 with curve 1500 (-sigma 3:2096737802)
Computing 1792 Step 1 took 305ms of CPU time / 267730ms of GPU time
Throughput: 6.693 curves per second (on average 149.40ms per Step 1)
********** Factor found in step 1: 1556657546420470272195141132208352807
Found prime factor of 37 digits: 1556657546420470272195141132208352807
Prime cofactor 33918616490455707670459596156822193878995528986842506328816667741477740732753025749479402300067852700649458564800803603168129315886542812313566593821002869575885992635570303970980352522546448615798108315322811 has 209 digits
Peak memory usage: 9428MB

1138888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<250>

625595189426756336771481737552734635382658794629283280674033079736947053172785457488047220008110406498083436463364126734853141917569331961283145326917829484656337016444119820158292693772688252950138697184927177766495499<219>

1721908224256304582717838539449592549<37>

363315059777330514672160875307626865374924850975487379748896321445469806071363681007529469075362902702399512935491212341186759491226414883879192570629030592969417516454755196688949551<183>

Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep  7 18:26:03 2022 
Input number is 625595189426756336771481737552734635382658794629283280674033079736947053172785457488047220008110406498083436463364126734853141917569331961283145326917829484656337016444119820158292693772688252950138697184927177766495499 (219 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2359442876
Step 1 took 0ms
Step 2 took 5413ms
********** Factor found in step 2: 1721908224256304582717838539449592549
Found prime factor of 37 digits: 1721908224256304582717838539449592549
Composite cofactor 363315059777330514672160875307626865374924850975487379748896321445469806071363681007529469075362902702399512935491212341186759491226414883879192570629030592969417516454755196688949551 has 183 digits

160429707664550975679126252157315114219893611914577270459215185331446453892244194744987527499699405981657247717481812935491685726453293620811359906108283404712824564806714052505163043519558844584032233622634449<210>

1170304889466539722173805341723218537591532367329276443875036446363239189389636499831433911577148636017751075615236623223573893986113855678382654017622315424566536767052106950321029719949207219790280848593<205>

1770429887082145133384745112890261860313594250564783867117005297430492529720088004915497340233088453136284260903694784336253492695167246080765037731079903552986073668631513440432928300681044883729264088717684802204845338128052621<229>

53897050132455710198268957400286622834348707617384140419043983814081767567648006374260924122057213626753532162973707123213915177963413555250291649632233139962261176529944589550575832163360978363599045972957<206>

37962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<257>

9920931397258419878028416647716967129<37>

3826552310749146266024705251503070953821298424858698499904294124463594322016920096313192276411602378568571783187261056450738811644656205144374427968933966651157870088142228285333418527900536446762804013495716199622355147<220>

Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep  7 17:43:04 2022 
Input number is 37962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963 (257 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4052250721
Step 1 took 1ms
Step 2 took 6642ms
********** Factor found in step 2: 9920931397258419878028416647716967129
Found prime factor of 37 digits: 9920931397258419878028416647716967129
Composite cofactor 3826552310749146266024705251503070953821298424858698499904294124463594322016920096313192276411602378568571783187261056450738811644656205144374427968933966651157870088142228285333418527900536446762804013495716199622355147 has 220 digits

408874778359132322978553811590198948154095192217489459211181488613334723650280551429175948328470871363233376082220877688319769333574761830896571834994548229540579201742335476418378769170751557668410445663349484681472130671<222>

90565053837392011578319220215283657359381324631679513658950799226406386112375214649356923142561596705781218815174740155416625868153461491534035643916586433129615926734509671008621928412974591316937137238533886589647680644844062467043<233>

170276608262354688185593815309148713418095963838673257672029323004081856158476935304103442420520551200626652226101969696308663619153533209910277180530195824067444319736156200986774013362903063424243366923493897222022480480367204955717877034280243539<249>

112942166407343531725188149143489320499404798695226779878203809765545875964030246423236791136940787192949952674494985721610923147921104940280198068215880773140884924154720028449403017<183>

484272859136704966724299857903549469723837<42>

233220103659497434719914354754684155156784775754063816241600946892564282163825620892706889106834072422685069861612557691896227427497262366141<141>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 112942166407343531725188149143489320499404798695226779878203809765545875964030246423236791136940787192949952674494985721610923147921104940280198068215880773140884924154720028449403017 (183 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:34695565
Step 1 took 7556ms
Step 2 took 3681ms
** Factor found in step 2: 484272859136704966724299857903549469723837
Found prime factor of 42 digits: 484272859136704966724299857903549469723837
Composite cofactor 233220103659497434719914354754684155156784775754063816241600946892564282163825620892706889106834072422685069861612557691896227427497262366141 has 141 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

233220103659497434719914354754684155156784775754063816241600946892564282163825620892706889106834072422685069861612557691896227427497262366141<141>

93465844220536911160648423989704276709940906951<47>
2495244178281897192840139719015183306510312474556216577199734608751679728355809602145220313691<94>

93465844220536911160648423989704276709940906951 * 2495244178281897192840139719015183306510312474556216577199734608751679728355809602145220313691

poly:
skew: 635010.953
c0: -555192485264453767606654976860382
c1: -8384957119678062314383100971
c2: 82945783363638343515172
c3: 33610161276658011
c4: -54314251470
c5: 37800
Y0: -2444356174566415607351239428
Y1: 728435695557754149047
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.053e+13) = 1.139e-06
# f(x) = 37800*x^5-54314251470*x^4+33610161276658011*x^3+82945783363638343515172*x^2-8384957119678062314383100971*x-555192485264453767606654976860382
# g(x) = 728435695557754149047*x-2444356174566415607351239428

cado-nfs 7a9bbbdccf4484262f5af7243d0dddadd604b850

8273155262689029331419853063154080505698216440049832776934866407091573809285851039665703473839859417348404951026390000415492430553177517976149120760307618079258198467213737574156598464833211508945284214698513669208122484270617609<229>