18333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<104>

18049171744741325254856529433517911543018985003<47>
1015743746727591493043835900294064346470960434463170662777<58>

N=18333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
  ( 104 digits)
SNFS difficulty: 104 digits.
Divisors found:
p47 factor: 18049171744741325254856529433517911543018985003
p58 factor: 1015743746727591493043835900294064346470960434463170662777
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.12 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 18333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331
m: 50000000000000000000000000
deg: 4
c4: 44
c0: -35
skew: 0.94
# Murphy_E = 1.805e-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, 325001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 40361 x 40587
Total sieving time: 0.12 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: 0.12 hours.
 --------- CPU info (if available) ----------

504987143848083863211470543281075723270759677475998012030228229951587605352646717559<84>

11559747488096024248424232073373789459<38>
43684963219837509953300930199662168086937685901<47>

P38 = 11559747488096024248424232073373789459
P47 = 43684963219837509953300930199662168086937685901

16978296062104756516996668980061553733620091061262922312022518294108052603967419146169469219531271<98>

3432107539384746710017812000241774757353<40>
4946900954376375282341170338095306277075719893790260906607<58>

N=16978296062104756516996668980061553733620091061262922312022518294108052603967419146169469219531271
  ( 98 digits)
SNFS difficulty: 118 digits.
Divisors found:
p40 factor: 3432107539384746710017812000241774757353
p58 factor: 4946900954376375282341170338095306277075719893790260906607
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.56 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 16978296062104756516996668980061553733620091061262922312022518294108052603967419146169469219531271
m: 100000000000000000000000000000
deg: 4
c4: 550
c0: -7
skew: 0.34
# Murphy_E = 4.748e-08
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 585001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56208 x 56433
Total sieving time: 0.55 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.56 hours.
 --------- CPU info (if available) ----------

1184561077046006198485054069828798618155659940513496458162379632441466529688331211892131714576777864645590094484899<115>

256610258388056187572501967475238185601185743927267691777<57>
4616187538592732567764560977107733450252221943984684813987<58>

N=1184561077046006198485054069828798618155659940513496458162379632441466529688331211892131714576777864645590094484899
  ( 115 digits)
SNFS difficulty: 120 digits.
Divisors found:
p57 factor: 256610258388056187572501967475238185601185743927267691777
p58 factor: 4616187538592732567764560977107733450252221943984684813987
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.87 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1184561077046006198485054069828798618155659940513496458162379632441466529688331211892131714576777864645590094484899
m: 500000000000000000000000000000
deg: 4
c4: 44
c0: -35
skew: 0.94
# Murphy_E = 3.294e-08
type: snfs
lss: 1
rlim: 710000
alim: 710000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 710000/710000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [355000, 705001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69182 x 69407
Total sieving time: 0.85 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120.000,4,0,0,0,0,0,0,0,0,710000,710000,25,25,46,46,2.2,2.2,50000
total time: 0.87 hours.
 --------- CPU info (if available) ----------

1283678594301337093388684050314852302592186812765352318473843396263656200175775406703713226717251<97>

2110743160997631015600970605073111444969<40>
608164279776518875609196666103631057845443460755644546379<57>

prp40 = 2110743160997631015600970605073111444969
prp57 = 608164279776518875609196666103631057845443460755644546379

Yafu

49293647393573814142628246524959837343787987079772345638821275502848985080154330980584620864117259379<101>

1945098737803469829106019829960101309617950559<46>
25342491070267908550536093666507673431783310375010479981<56>

Info:Square Root: finished
Info:Square Root: Factors: 25342491070267908550536093666507673431783310375010479981 1945098737803469829106019829960101309617950559
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 107.38/15.3417
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2890.72
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2984/34.230/38.311/39.140/0.684
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2984/33.470/37.009/39.140/0.991
Info:Polynomial Selection (size optimized): Total time: 57.2
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 39.1
Info:Polynomial Selection (root optimized): Rootsieve time: 38.88
Info:Generate Factor Base: Total cpu/real time for makefb: 1.07/0.116194
Info:Generate Free Relations: Total cpu/real time for freerel: 26.08/1.71029
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2683934
Info:Lattice Sieving: Average J: 960.117 for 129547 special-q, max bucket fill: 0.834171
Info:Lattice Sieving: Total CPU time: 9481.81s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.38/5.37937
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 28.07/8.83283
Info:Filtering - Singleton removal: Total cpu/real time for purge: 18.84/8.50291
Info:Filtering - Merging: Total cpu/real time for merge: 63.68/49.2034
Info:Filtering - Merging: Total cpu/real time for replay: 6.79/5.30636
Info:Linear Algebra: Total cpu/real time for bwc: 929.83/0.000152349
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 36.5
Info:Linear Algebra: Lingen CPU time 37.07, WCT time 3.94
Info:Linear Algebra: Mksol: WCT time 20.59
Info:Quadratic Characters: Total cpu/real time for characters: 6.47/1.49331
Info:Square Root: Total cpu/real time for sqrt: 107.38/15.3417
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 10772.7/876.706
Info:root: Cleaning up computation data in /tmp/cado.66c2kmzp
25342491070267908550536093666507673431783310375010479981 1945098737803469829106019829960101309617950559

END:Thu 28 Jul 2022 07:34:26 AEST (49293647393573814142628246524959837343787987079772345638821275502848985080154330980584620864117259379 - C101)

46330939776912030281414939871518057296064706593932469015113045121988058576487953867161990781<92>

14094111864749510217640244824365768311566601<44>
3287255005601976188964298011675797162939090836181<49>

PRP44 = 14094111864749510217640244824365768311566601
PRP49 = 3287255005601976188964298011675797162939090836181

128276605902322050049868564621365248456847916703993300006459074367798677141610191483517257<90>

1519607146086567480841037179881534059897<40>
84414321315000261854995990531395296656095078284881<50>

P40 = 1519607146086567480841037179881534059897
P50 = 84414321315000261854995990531395296656095078284881

44733228058439040977226952127348730979374622588480063950682846551249503835524063<80>

51461868678269858487092902428146385059<38>
869249974930039140660814159187343113662357<42>

P38 = 51461868678269858487092902428146385059
P42 = 869249974930039140660814159187343113662357

1314555604690553418370024136826243531724726198496642382178044820600724143989986890647743260438606159756205389<109>

164507201958532404832601251853133949254348844795537<51>
7990869633913751480525572500304856940487581178448826015997<58>

Number: n
N=1314555604690553418370024136826243531724726198496642382178044820600724143989986890647743260438606159756205389  ( 109 digits)
SNFS difficulty: 140 digits.
Divisors found:

Fri Jul 29 08:13:06 2022  p51 factor: 164507201958532404832601251853133949254348844795537
Fri Jul 29 08:13:06 2022  p58 factor: 7990869633913751480525572500304856940487581178448826015997
Fri Jul 29 08:13:06 2022  elapsed time 00:02:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 11x10^139-14 = 36(138)2
#
n: 1314555604690553418370024136826243531724726198496642382178044820600724143989986890647743260438606159756205389
m: 5000000000000000000000000000
deg: 5
c5: 88
c0: -35
skew: 0.83
# Murphy_E = 3.605e-09
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4965000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 423432 hash collisions in 5575880 relations (5517600 unique)
Msieve: matrix is 229189 x 229414 (77.8 MB)

Sieving start time : 2022/07/29 08:00:31
Sieving end time  : 2022/07/29 08:10:09

Total sieving time: 0hrs 9min 38secs.

Total relation processing time: 0hrs 1min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 9sec.

Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,75000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

10525663137320396554397739187394975314771105811044594455306218479377069066669982686891503556863195482271520579537068977326622971768731<134>

19837654672255787597364312218494578473241458566812505236619<59>
530590098034179460387185105831632189394619535399830230449594480033615737649<75>

Number: n
N=10525663137320396554397739187394975314771105811044594455306218479377069066669982686891503556863195482271520579537068977326622971768731  ( 134 digits)
SNFS difficulty: 144 digits.
Divisors found:

Fri Jul 29 01:49:11 2022  p59 factor: 19837654672255787597364312218494578473241458566812505236619
Fri Jul 29 01:49:11 2022  p75 factor: 530590098034179460387185105831632189394619535399830230449594480033615737649
Fri Jul 29 01:49:11 2022  elapsed time 00:03:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 11x10^143-14 = 36(142)2
#
n: 10525663137320396554397739187394975314771105811044594455306218479377069066669982686891503556863195482271520579537068977326622971768731
m: 500000000000000000000000000000000000
deg: 4
c4: 44
c0: -35
skew: 0.94
# Murphy_E = 2.201e-09
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6495000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 425593 hash collisions in 5837836 relations (6074019 unique)
Msieve: matrix is 302631 x 302856 (102.4 MB)

Sieving start time : 2022/07/29 01:24:56
Sieving end time  : 2022/07/29 01:45:47

Total sieving time: 0hrs 20min 51secs.

Total relation processing time: 0hrs 1min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 11sec.

Prototype def-par.txt line would be:
snfs,144,4,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

102279599758341802727160080697266020241025937888531590250712649657366043780432210860563982885564168122752568640705008672229522026665153<135>

37749464870146998976180377193934239368766387567528115616832483<62>
2709431778971427814828801380404340243339092218395219989913522294301652491<73>

Number: n
N=102279599758341802727160080697266020241025937888531590250712649657366043780432210860563982885564168122752568640705008672229522026665153  ( 135 digits)
SNFS difficulty: 145 digits.
Divisors found:

Fri Jul 29 01:22:01 2022  p62 factor: 37749464870146998976180377193934239368766387567528115616832483
Fri Jul 29 01:22:01 2022  p73 factor: 2709431778971427814828801380404340243339092218395219989913522294301652491
Fri Jul 29 01:22:01 2022  elapsed time 00:03:20 (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 = 11x10^144-14 = 36(143)2
#
n: 102279599758341802727160080697266020241025937888531590250712649657366043780432210860563982885564168122752568640705008672229522026665153
m: 50000000000000000000000000000
deg: 5
c5: 88
c0: -35
skew: 0.83
# Murphy_E = 2.349e-09
type: snfs
lss: 1
rlim: 1860000
alim: 1860000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1860000/1860000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6530000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 536542 hash collisions in 6315507 relations (6192960 unique)
Msieve: matrix is 290078 x 290303 (98.3 MB)

Sieving start time : 2022/07/29 01:11:20
Sieving end time  : 2022/07/29 01:18:28

Total sieving time: 0hrs 7min 8secs.

Total relation processing time: 0hrs 1min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 26sec.

Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1860000,1860000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

607846352406499822434304453365498193691226253735794104639427401496693537524473363616442625564525832223510968369892017514871476935031313<135>

203824075254720101119704376220077538726066145852709<51>
2982210769983235756344794859120053818261981849551356956496985194423829207522425484157<85>

Number: n
N=607846352406499822434304453365498193691226253735794104639427401496693537524473363616442625564525832223510968369892017514871476935031313  ( 135 digits)
SNFS difficulty: 145 digits.
Divisors found:

Fri Jul 29 01:05:46 2022  p51 factor: 203824075254720101119704376220077538726066145852709
Fri Jul 29 01:05:46 2022  p85 factor: 2982210769983235756344794859120053818261981849551356956496985194423829207522425484157
Fri Jul 29 01:05:46 2022  elapsed time 00:11:00 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.850).
Factorization parameters were as follows:
#
# N = 11x10^145-14 = 36(144)2
#
n: 607846352406499822434304453365498193691226253735794104639427401496693537524473363616442625564525832223510968369892017514871476935031313
m: 1000000000000000000000000000000000000
deg: 4
c4: 55
c0: -7
skew: 0.60
# Murphy_E = 2.656e-09
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1880000/1880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6540000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 459632 hash collisions in 6111163 relations (6334001 unique)
Msieve: matrix is 262743 x 262968 (89.9 MB)

Sieving start time : 2022/07/29 00:41:57
Sieving end time  : 2022/07/29 00:54:33

Total sieving time: 0hrs 12min 36secs.

Total relation processing time: 0hrs 6min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 41sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1880000,1880000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

3060656649972175848636616583194212576516416249304396215915414579855314412910406232609905397885364496382860322760155815247634947134112409571508069<145>

712998637867080868979647165259262950780447744420912395264224300146318287<72>
4292654273685655658245055137797922509190875278361086458712602221917813387<73>

N=3060656649972175848636616583194212576516416249304396215915414579855314412910406232609905397885364496382860322760155815247634947134112409571508069
  ( 145 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=712998637867080868979647165259262950780447744420912395264224300146318287 (pp72)
 r2=4292654273685655658245055137797922509190875278361086458712602221917813387 (pp73)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 8.83 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3060656649972175848636616583194212576516416249304396215915414579855314412910406232609905397885364496382860322760155815247634947134112409571508069
m: 100000000000000000000000000000
deg: 5
c5: 550
c0: -7
skew: 0.42
# Murphy_E = 1.522e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3

Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 282802 x 283027
Total sieving time: 8.72 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 8.83 hours.
 --------- CPU info (if available) ----------

89184857451557805172701323691369280586026860915734449821037275609451466968978166873865606518787621966472188234955612195109114233<128>

37405055763119891076844088835589510650828222586117265941561933<62>
2384299545397043148171841443864491568683749785786730024826679323101<67>

N=89184857451557805172701323691369280586026860915734449821037275609451466968978166873865606518787621966472188234955612195109114233
  ( 128 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=37405055763119891076844088835589510650828222586117265941561933 (pp62)
 r2=2384299545397043148171841443864491568683749785786730024826679323101 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.96 hours.
Scaled time: 62.13 units (timescale=7.806).
Factorization parameters were as follows:
n: 89184857451557805172701323691369280586026860915734449821037275609451466968978166873865606518787621966472188234955612195109114233
m: 1000000000000000000000000000000
deg: 5
c5: 11
c0: -14
skew: 1.05
# Murphy_E = 1.548e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 304425 x 304649
Total sieving time: 7.89 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 7.96 hours.

GNFS, Msieve

3666651402009683761299082244445579443859128532921764957640816395761834527598096829303577963065618743021547449030626916850323083647209<133>

31366025665789967638128937179289972983281016413503<50>
116898820433243354493103398117380785784888199816243788550021427226492436307806418903<84>

N=3666651402009683761299082244445579443859128532921764957640816395761834527598096829303577963065618743021547449030626916850323083647209
  ( 133 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=31366025665789967638128937179289972983281016413503 (pp50)
 r2=116898820433243354493103398117380785784888199816243788550021427226492436307806418903 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.09 hours.
Scaled time: 78.67 units (timescale=7.800).
Factorization parameters were as follows:
n: 3666651402009683761299082244445579443859128532921764957640816395761834527598096829303577963065618743021547449030626916850323083647209
m: 1000000000000000000000000000000
deg: 5
c5: 550
c0: -7
skew: 0.42
# Murphy_E = 9.843e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 484164 x 484389
Total sieving time: 10.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 10.09 hours.

GNFS, Msieve

33092167165510581589368205182254382682799987016272457005715295430007737723321769976429148423016050828924669368565406822151<122>

290823764838962526331725024828026317075087374582239<51>
113787699515666009116881680116959060058333525528762013742402408769538009<72>

N=33092167165510581589368205182254382682799987016272457005715295430007737723321769976429148423016050828924669368565406822151
  ( 122 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=290823764838962526331725024828026317075087374582239 (pp51)
 r2=113787699515666009116881680116959060058333525528762013742402408769538009 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.79 hours.
Scaled time: 114.34 units (timescale=7.728).
Factorization parameters were as follows:
n: 33092167165510581589368205182254382682799987016272457005715295430007737723321769976429148423016050828924669368565406822151
m: 100000000000000000000000000000000000000
deg: 4
c4: 55
c0: -7
skew: 0.60
# Murphy_E = 1.035e-09
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 520795 x 521020
Total sieving time: 14.71 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,153.000,4,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 14.79 hours.

GNFS, Msieve

5107518447321960707772804085747490711832023618177088118978331511810078484747876537613081731985498524972918387285481<115>

450342401814519638861151091208403396484183<42>
11341411394402896552101503677520366291785481392094318630582030961691881407<74>

Number: n
N=5107518447321960707772804085747490711832023618177088118978331511810078484747876537613081731985498524972918387285481  ( 115 digits)
SNFS difficulty: 156 digits.
Divisors found:

Thu Aug  4 22:52:22 2022  p42 factor: 450342401814519638861151091208403396484183
Thu Aug  4 22:52:22 2022  p74 factor: 11341411394402896552101503677520366291785481392094318630582030961691881407
Thu Aug  4 22:52:22 2022  elapsed time 00:05:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 11x10^156-14 = 36(155)2
#
n: 5107518447321960707772804085747490711832023618177088118978331511810078484747876537613081731985498524972918387285481
m: 10000000000000000000000000000000
deg: 5
c5: 55
c0: -7
skew: 0.66
# Murphy_E = 8.876e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1083881 hash collisions in 12896398 relations (12653425 unique)
Msieve: matrix is 386223 x 386449 (129.6 MB)

Sieving start time : 2022/08/04 22:18:40
Sieving end time  : 2022/08/04 22:46:44

Total sieving time: 0hrs 28min 4secs.

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

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

4495516761629244423240917408095226901853821255880178712202489054119033169978121661879160453917230748799011377439847784409591690435499<133>

142301614374250491199809709730989413423022447001953<51>
31591467049742122827590168129099421723207066085279393883918651088207063648582687883<83>

Sat Aug  6 15:13:53 2022  Msieve v. 1.53 (SVN unknown)
Sat Aug  6 15:13:53 2022  random seeds: e782c8a4 e9376a3e
Sat Aug  6 15:13:53 2022  factoring 4495516761629244423240917408095226901853821255880178712202489054119033169978121661879160453917230748799011377439847784409591690435499 (133 digits)
Sat Aug  6 15:13:53 2022  searching for 15-digit factors
Sat Aug  6 15:13:53 2022  commencing number field sieve (133-digit input)
Sat Aug  6 15:13:53 2022  R0: -1000000000000000000000000000000000000000
Sat Aug  6 15:13:53 2022  R1: 1
Sat Aug  6 15:13:53 2022  A0: -7
Sat Aug  6 15:13:53 2022  A1: 0
Sat Aug  6 15:13:53 2022  A2: 0
Sat Aug  6 15:13:53 2022  A3: 0
Sat Aug  6 15:13:53 2022  A4: 55
Sat Aug  6 15:13:53 2022  skew 0.60, size 3.401e-16, alpha 0.002, combined = 6.422e-10 rroots = 2
Sat Aug  6 15:13:53 2022  
Sat Aug  6 15:13:53 2022  commencing square root phase
Sat Aug  6 15:13:53 2022  reading relations for dependency 1
Sat Aug  6 15:13:54 2022  read 301982 cycles
Sat Aug  6 15:13:54 2022  cycles contain 1039286 unique relations
Sat Aug  6 15:14:02 2022  read 1039286 relations
Sat Aug  6 15:14:04 2022  multiplying 1039286 relations
Sat Aug  6 15:14:15 2022  multiply complete, coefficients have about 28.26 million bits
Sat Aug  6 15:14:15 2022  initial square root is modulo 130329709
Sat Aug  6 15:14:28 2022  sqrtTime: 35
Sat Aug  6 15:14:28 2022  p51 factor: 142301614374250491199809709730989413423022447001953
Sat Aug  6 15:14:28 2022  p83 factor: 31591467049742122827590168129099421723207066085279393883918651088207063648582687883
Sat Aug  6 15:14:28 2022  elapsed time 00:00:35
Sat Aug 06 15:14:28 2022 -> Computing time scale for this machine...
Sat Aug 06 15:14:28 2022 -> procrels -speedtest> PIPE

300384442878451138642102633819566668712393953375420175778891822117486432113964905136323671057566845040246537156263657883262256994535996607123856168879<150>

51286233453192358558421182124715407846027<41>
5857018982542447440470946252247119224273994241756260392950010063110135299414208344505280305690262241842282477<109>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 300384442878451138642102633819566668712393953375420175778891822117486432113964905136323671057566845040246537156263657883262256994535996607123856168879 (150 digits)
Using B1=13890000, B2=46846578880, polynomial Dickson(12), sigma=1:4270061588
Step 1 took 26167ms
Step 2 took 12300ms
********** Factor found in step 2: 51286233453192358558421182124715407846027
Found prime factor of 41 digits: 51286233453192358558421182124715407846027
Prime cofactor 5857018982542447440470946252247119224273994241756260392950010063110135299414208344505280305690262241842282477 has 109 digits

595827235969217986277815244503119177863889527443124180749903500325773133430061477063146350826521040587100604595886749<117>

909818962046089745004719924453617851739<39>
654885489118916034503392906601164834603028068975613362181282766275382014431591<78>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 595827235969217986277815244503119177863889527443124180749903500325773133430061477063146350826521040587100604595886749 (117 digits)
Using B1=13680000, B2=46846578880, polynomial Dickson(12), sigma=1:514188926
Step 1 took 20952ms
Step 2 took 9996ms
********** Factor found in step 2: 909818962046089745004719924453617851739
Found prime factor of 39 digits: 909818962046089745004719924453617851739
Prime cofactor 654885489118916034503392906601164834603028068975613362181282766275382014431591 has 78 digits

27575748702451275490272860610845019816676294414279672264006343242496946690266138609505735710572820849051277892247<113>

2294568639671563005820797206893581841604257709<46>
12017835607828396579954919875232806991180728500156733282533335753683<68>

08/01/22 13:10:54 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing nfs on c113: 27575748702451275490272860610845019816676294414279672264006343242496946690266138609505735710572820849051277892247
08/01/22 13:10:54 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing poly selection with 46 threads
08/01/22 13:10:54 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: setting deadline of 117 seconds
08/01/22 13:13:05 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: completed 146 ranges of size 250 in 131.1794 seconds
08/01/22 13:13:05 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: best poly = # norm 9.999198e-011 alpha -6.532197 e 7.019e-010 rroots 3
08/01/22 13:13:05 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:14:21 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:15:36 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:16:56 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:18:15 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:19:41 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:21:10 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:22:37 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:23:55 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:25:18 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:26:41 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:28:00 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:29:28 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:30:52 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:32:13 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:33:38 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:35:05 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:36:26 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:37:50 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:39:15 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:40:42 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing lattice sieving with 46 threads
08/01/22 13:42:05 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing msieve filtering
08/01/22 13:43:40 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing msieve linear algebra
08/01/22 13:46:39 v1.34.5 @ DESKTOP-M5CJ3QV, nfs: commencing msieve sqrt
08/01/22 13:47:50 v1.34.5 @ DESKTOP-M5CJ3QV, prp68 = 12017835607828396579954919875232806991180728500156733282533335753683
08/01/22 13:47:50 v1.34.5 @ DESKTOP-M5CJ3QV, prp46 = 2294568639671563005820797206893581841604257709
08/01/22 13:47:50 v1.34.5 @ DESKTOP-M5CJ3QV, NFS elapsed time = 2216.2902 seconds.
08/01/22 13:47:50 v1.34.5 @ DESKTOP-M5CJ3QV, 
08/01/22 13:47:50 v1.34.5 @ DESKTOP-M5CJ3QV, 

Yafu

235471227009900695446380765554545827232950747025932531846991952869773342655364118068637565180986057803923922909166720751495763661880122030658965638188319<153>

2244185035620368561921622377364638999245820440287893945032126832156508199081<76>
104925049972454028544671716976723480569133193547957295912804710237264953355399<78>

Number: n
N=235471227009900695446380765554545827232950747025932531846991952869773342655364118068637565180986057803923922909166720751495763661880122030658965638188319  ( 153 digits)
SNFS difficulty: 168 digits.
Divisors found:

Mon Aug  1 16:13:02 2022  p76 factor: 2244185035620368561921622377364638999245820440287893945032126832156508199081
Mon Aug  1 16:13:02 2022  p78 factor: 104925049972454028544671716976723480569133193547957295912804710237264953355399
Mon Aug  1 16:13:02 2022  elapsed time 00:13:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 11x10^168-14 = 36(167)2
#
n: 235471227009900695446380765554545827232950747025932531846991952869773342655364118068637565180986057803923922909166720751495763661880122030658965638188319
m: 1000000000000000000000000000000000
deg: 5
c5: 5500
c0: -7
skew: 0.26
# Murphy_E = 2.074e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1384765 hash collisions in 13002836 relations (12398717 unique)
Msieve: matrix is 785383 x 785608 (270.9 MB)

Sieving start time : 2022/08/01 14:30:34
Sieving end time  : 2022/08/01 15:59:46

Total sieving time: 1hrs 29min 12secs.

Total relation processing time: 0hrs 8min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

3379200043478472493367703726915169552860662294037555286880501684568361816576401534539254474131107954881457752686821145645820401429498465011263941589637888243<157>

145771688642932368544132598111039838447058706573702974912811333491798250175787<78>
23181456392096960754781697860361019680919311865492913706661152105411334173433689<80>

Number: n
N=3379200043478472493367703726915169552860662294037555286880501684568361816576401534539254474131107954881457752686821145645820401429498465011263941589637888243  ( 157 digits)
SNFS difficulty: 170 digits.
Divisors found:

Fri Jul 29 18:54:05 2022  p78 factor: 145771688642932368544132598111039838447058706573702974912811333491798250175787
Fri Jul 29 18:54:05 2022  p80 factor: 23181456392096960754781697860361019680919311865492913706661152105411334173433689
Fri Jul 29 18:54:05 2022  elapsed time 00:17:24 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 11x10^169-14 = 36(168)2
#
n: 3379200043478472493367703726915169552860662294037555286880501684568361816576401534539254474131107954881457752686821145645820401429498465011263941589637888243
m: 5000000000000000000000000000000000
deg: 5
c5: 88
c0: -35
skew: 0.83
# Murphy_E = 2.554e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 963938 hash collisions in 10663828 relations (10369261 unique)
Msieve: matrix is 804006 x 804231 (280.7 MB)

Sieving start time : 2022/07/29 17:58:34
Sieving end time  : 2022/07/29 18:36:12

Total sieving time: 0hrs 37min 38secs.

Total relation processing time: 0hrs 9min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 54sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

3229390180995560559454206453661855723478266463153835724224607396012454944201147239501350236533134188296964619609195030341<121>

64526743889542448657900452136551892031668002658047698173<56>
50047313506530939491321611671075497000374047573189178568455651817<65>

3229390180995560559454206453661855723478266463153835724224607396012454944201147239501350236533134188296964619609195030341=64526743889542448657900452136551892031668002658047698173*50047313506530939491321611671075497000374047573189178568455651817

cado polynomial
n: 3229390180995560559454206453661855723478266463153835724224607396012454944201147239501350236533134188296964619609195030341
skew: 25363.008
c0: -8495295481787952376978296240
c1: -1419558897856251728449756
c2: 37287827211515746380
c3: 3423969174123559
c4: -70389815250
c5: -599400
Y0: -31706467155418783862541
Y1: 5017609838737825423
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.340e-06
# f(x) = -599400*x^5-70389815250*x^4+3423969174123559*x^3+37287827211515746380*x^2-1419558897856251728449756*x-8495295481787952376978296240
# g(x) = 5017609838737825423*x-31706467155418783862541

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 64526743889542448657900452136551892031668002658047698173 50047313506530939491321611671075497000374047573189178568455651817
Info:Square Root: Total cpu/real time for sqrt: 246.94/73.1198
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 188.4/180.119
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 149.49999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 106.25/122.284
Info:Generate Free Relations: Total cpu/real time for freerel: 125.74/32.7037
Info:Linear Algebra: Total cpu/real time for bwc: 5964.81/1548.72
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3636.06, WCT time 941.16, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24576 iterations)
Info:Linear Algebra: Lingen CPU time 142.66, WCT time 36.26
Info:Linear Algebra: Mksol: CPU time 2105.53,  WCT time 542.82, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13870835
Info:Lattice Sieving: Average J: 1907.69 for 314109 special-q, max bucket fill -bkmult 1.0,1s:1.267300
Info:Lattice Sieving: Total time: 37978.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.16/1.38514
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1967.74
Info:Polynomial Selection (root optimized): Rootsieve time: 1965.34
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.38/64.1184
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 63.7s
Info:Filtering - Merging: Merged matrix has 784621 rows and total weight 78835117 (100.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.49/19.7012
Info:Filtering - Merging: Total cpu/real time for replay: 19.64/15.5214
Info:Quadratic Characters: Total cpu/real time for characters: 24.91/9.59737
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20186/35.940/43.095/48.470/1.033
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16226/34.800/38.160/43.590/0.850
Info:Polynomial Selection (size optimized): Total time: 2238.67
Info:Square Root: Total cpu/real time for sqrt: 246.94/73.1198
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 81194.4/22166.4
Info:root: Cleaning up computation data in /tmp/cado.g5eib2ud
64526743889542448657900452136551892031668002658047698173 50047313506530939491321611671075497000374047573189178568455651817

cado-nfs-3.0.0

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

4835470339118119913779203138454462687358199887253887714416151160910313091403024053740369370659834031026204624393618721931155187982325033629179629232891499088672532421<166>

14795246347272785335832610404905745816790585833<47>
326825942983331562986356097197879394684672452342663402657912953649400261229578635448975910190088740502587012429063930237<120>

Fri Jul 29 10:59:53 2022  Msieve v. 1.53 (SVN unknown)
Fri Jul 29 10:59:53 2022  random seeds: 34457dfc 392f392a
Fri Jul 29 10:59:53 2022  factoring 4835470339118119913779203138454462687358199887253887714416151160910313091403024053740369370659834031026204624393618721931155187982325033629179629232891499088672532421 (166 digits)
Fri Jul 29 10:59:54 2022  searching for 15-digit factors
Fri Jul 29 10:59:54 2022  commencing number field sieve (166-digit input)
Fri Jul 29 10:59:54 2022  R0: -50000000000000000000000000000000000
Fri Jul 29 10:59:54 2022  R1: 1
Fri Jul 29 10:59:54 2022  A0: -35
Fri Jul 29 10:59:54 2022  A1: 0
Fri Jul 29 10:59:54 2022  A2: 0
Fri Jul 29 10:59:54 2022  A3: 0
Fri Jul 29 10:59:54 2022  A4: 0
Fri Jul 29 10:59:54 2022  A5: 88
Fri Jul 29 10:59:54 2022  skew 0.83, size 3.068e-12, alpha -0.109, combined = 1.615e-10 rroots = 1
Fri Jul 29 10:59:54 2022  
Fri Jul 29 10:59:54 2022  commencing square root phase
Fri Jul 29 10:59:54 2022  reading relations for dependency 1
Fri Jul 29 10:59:54 2022  read 560834 cycles
Fri Jul 29 10:59:55 2022  cycles contain 1924332 unique relations
Fri Jul 29 11:00:11 2022  read 1924332 relations
Fri Jul 29 11:00:18 2022  multiplying 1924332 relations
Fri Jul 29 11:00:52 2022  multiply complete, coefficients have about 54.42 million bits
Fri Jul 29 11:00:53 2022  initial square root is modulo 64933541
Fri Jul 29 11:01:34 2022  sqrtTime: 100
Fri Jul 29 11:01:34 2022  p47 factor: 14795246347272785335832610404905745816790585833
Fri Jul 29 11:01:34 2022  p120 factor: 326825942983331562986356097197879394684672452342663402657912953649400261229578635448975910190088740502587012429063930237
Fri Jul 29 11:01:34 2022  elapsed time 00:01:41

21533537464018120549391683993937338332696955668124271604593079626901987152947204387029352400031656817872974634295264193806287421065350522303326657697247069251<158>

39312843303292017713415628316676155746378802844452617186462446038465432743<74>
547748156954471006532534411253073694699174920058851560811170904877335938572661060357<84>

Number: n
N=21533537464018120549391683993937338332696955668124271604593079626901987152947204387029352400031656817872974634295264193806287421065350522303326657697247069251  ( 158 digits)
SNFS difficulty: 176 digits.
Divisors found:

Mon Aug  1 05:07:10 2022  p74 factor: 39312843303292017713415628316676155746378802844452617186462446038465432743
Mon Aug  1 05:07:10 2022  p84 factor: 547748156954471006532534411253073694699174920058851560811170904877335938572661060357
Mon Aug  1 05:07:10 2022  elapsed time 00:17:22 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 11x10^175-14 = 36(174)2
#
n: 21533537464018120549391683993937338332696955668124271604593079626901987152947204387029352400031656817872974634295264193806287421065350522303326657697247069251
m: 100000000000000000000000000000000000
deg: 5
c5: 11
c0: -14
skew: 1.05
# Murphy_E = 1.632e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1271078 hash collisions in 12894567 relations (12424032 unique)
Msieve: matrix is 932806 x 933031 (325.4 MB)

Sieving start time : 2022/08/01 03:16:56
Sieving end time  : 2022/08/01 04:49:32

Total sieving time: 1hrs 32min 36secs.

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

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

318740856419722817848925238642647644732466694396609773446565361532806417000156458581616013818117858783305980849211743647263398068580987009664543199254733<153>

112148124051526216158774016979678287861<39>
2842141668578227950383769262412677730090487585450939769344158477398939749409711360316210225798832996535514058092153<115>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 318740856419722817848925238642647644732466694396609773446565361532806417000156458581616013818117858783305980849211743647263398068580987009664543199254733 (153 digits)
Using B1=16060000, B2=58558467250, polynomial Dickson(12), sigma=1:3788194922
Step 1 took 30039ms
Step 2 took 14171ms
********** Factor found in step 2: 112148124051526216158774016979678287861
Found prime factor of 39 digits: 112148124051526216158774016979678287861
Prime cofactor 2842141668578227950383769262412677730090487585450939769344158477398939749409711360316210225798832996535514058092153 has 115 digits

26558107903799224039521493194980604618241220222707593590421091270090903892759261835179907840232263909742611257<110>

2714020174509187406913249063469770033891299<43>
9785523391918809944078703419290347528330009021352431087516911694643<67>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1577307585
Step 1 took 3578ms
********** Factor found in step 1: 2714020174509187406913249063469770033891299
Found prime factor of 43 digits: 2714020174509187406913249063469770033891299
Prime cofactor 9785523391918809944078703419290347528330009021352431087516911694643 has 67 digits
 

GMP-ECM

111822641970534530526869659325205250459336916130782069259691414237218112909558050488126163590832413846245493801670955573270972895614783603872967038954738870749900935304908831<174>

614648236982772532386927698125098281635943137088221<51>
5571632136536210938273909562184510903131526323296703<52>
32652818471524813878934787350450905344886615664539500253745330866770837<71>

Number: n
N=111822641970534530526869659325205250459336916130782069259691414237218112909558050488126163590832413846245493801670955573270972895614783603872967038954738870749900935304908831  ( 174 digits)
SNFS difficulty: 180 digits.
Divisors found:

Fri Aug  5 01:20:31 2022  found factor: 32652818471524813878934787350450905344886615664539500253745330866770837
Fri Aug  5 01:21:14 2022  p51 factor: 614648236982772532386927698125098281635943137088221
Fri Aug  5 01:21:14 2022  p52 factor: 5571632136536210938273909562184510903131526323296703
Fri Aug  5 01:21:14 2022  p71 factor: 32652818471524813878934787350450905344886615664539500253745330866770837
Fri Aug  5 01:21:14 2022  elapsed time 00:11:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 11x10^179-14 = 36(178)2
#
n: 111822641970534530526869659325205250459336916130782069259691414237218112909558050488126163590832413846245493801670955573270972895614783603872967038954738870749900935304908831
m: 500000000000000000000000000000000000
deg: 5
c5: 88
c0: -35
skew: 0.83
# Murphy_E = 1.017e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1507999 hash collisions in 12635537 relations (11841199 unique)
Msieve: matrix is 681979 x 682206 (237.2 MB)

Sieving start time : 2022/08/04 22:57:45
Sieving end time  : 2022/08/05 01:09:42

Total sieving time: 2hrs 11min 57secs.

Total relation processing time: 0hrs 6min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

79710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797<179>

866324395964620030693474909526125630397251419825834019819<57>
92009581282519404019807532925229520600542004310609158368542651355585412287570406094113798881227716853644030530279164258863<122>

Number: n
N=79710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797  ( 179 digits)
SNFS difficulty: 181 digits.
Divisors found:

Wed Aug  3 19:52:17 2022  p57 factor: 866324395964620030693474909526125630397251419825834019819
Wed Aug  3 19:52:17 2022  p122 factor: 92009581282519404019807532925229520600542004310609158368542651355585412287570406094113798881227716853644030530279164258863
Wed Aug  3 19:52:17 2022  elapsed time 00:12:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 11x10^180-14 = 36(179)2
#
n: 79710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797101449275362318840579710144927536231884057971014492753623188405797
m: 1000000000000000000000000000000000000
deg: 5
c5: 11
c0: -14
skew: 1.05
# Murphy_E = 1.026e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 8250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1362424 hash collisions in 12532628 relations (11910281 unique)
Msieve: matrix is 729509 x 729734 (253.9 MB)

Sieving start time : 2022/08/03 17:14:33
Sieving end time  : 2022/08/03 19:39:22

Total sieving time: 2hrs 24min 49secs.

Total relation processing time: 0hrs 8min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 27sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

4937162858747507975470497287129561799460419675301668946612612014429939282415107932403747265586458900383509499871215066406168673811454575609137731786728094170863479<163>

21623042539990723628124262863509717229764570941<47>
228328777026474186371189885652223152220040015430466047998968405596567217928796837435919139256561255980625646347111619<117>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 4937162858747507975470497287129561799460419675301668946612612014429939282415107932403747265586458900383509499871215066406168673811454575609137731786728094170863479 (163 digits)
Using B1=15850000, B2=58558142380, polynomial Dickson(12), sigma=1:2265306696
Step 1 took 37352ms
Step 2 took 16115ms
********** Factor found in step 2: 21623042539990723628124262863509717229764570941
Found prime factor of 47 digits: 21623042539990723628124262863509717229764570941
Prime cofactor 228328777026474186371189885652223152220040015430466047998968405596567217928796837435919139256561255980625646347111619 has 117 digits

3481671465391144297728285965604516950906843429734295988906204612653826021750457426744856904980305039112369256352260528690039532353789754761380386008863968392804048497708455631<175>

42378055688948300198530002326862736670090746980599878107375842787175424941<74>
82157413991485300106094118562603983103387621706491189219920025672909420464679249908423922040547546091<101>

Number: n
N=3481671465391144297728285965604516950906843429734295988906204612653826021750457426744856904980305039112369256352260528690039532353789754761380386008863968392804048497708455631  ( 175 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sat Aug  6 05:23:22 2022  p74 factor: 42378055688948300198530002326862736670090746980599878107375842787175424941
Sat Aug  6 05:23:22 2022  p101 factor: 82157413991485300106094118562603983103387621706491189219920025672909420464679249908423922040547546091
Sat Aug  6 05:23:22 2022  elapsed time 00:18:03 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 11x10^182-14 = 36(181)2
#
n: 3481671465391144297728285965604516950906843429734295988906204612653826021750457426744856904980305039112369256352260528690039532353789754761380386008863968392804048497708455631
m: 1000000000000000000000000000000000000
deg: 5
c5: 550
c0: -7
skew: 0.42
# Murphy_E = 6.49e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1608932 hash collisions in 12364533 relations (11419933 unique)
Msieve: matrix is 877706 x 877933 (302.5 MB)

Sieving start time : 2022/08/06 02:03:24
Sieving end time  : 2022/08/06 05:05:00

Total sieving time: 3hrs 1min 36secs.

Total relation processing time: 0hrs 11min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 6sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

23312720578289752514788425028475536160843303916589022718653159236737319259615252539112457688296118393342320130073779121667717632811026414399<140>

135891816507751961931741911986148645147950814761595512787<57>
171553528221177881559643750319523980853498824169187631821026809311192875918482245477<84>

23312720578289752514788425028475536160843303916589022718653159236737319259615252539112457688296118393342320130073779121667717632811026414399=135891816507751961931741911986148645147950814761595512787*171553528221177881559643750319523980853498824169187631821026809311192875918482245477

cado polynomial
n: 23312720578289752514788425028475536160843303916589022718653159236737319259615252539112457688296118393342320130073779121667717632811026414399
skew: 0.26
type: snfs
c0: -7
c5: 5500
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 5500*x^5-7
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8100000
tasks.lim1 = 8100000
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: 171553528221177881559643750319523980853498824169187631821026809311192875918482245477 135891816507751961931741911986148645147950814761595512787
Info:Square Root: Total cpu/real time for sqrt: 1599.65/478.585
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22909345
Info:Lattice Sieving: Average J: 1895.92 for 1797188 special-q, max bucket fill -bkmult 1.0,1s:1.173420
Info:Lattice Sieving: Total time: 300334s
Info:Linear Algebra: Total cpu/real time for bwc: 44174.7/11340.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28217.83, WCT time 7201.35, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51456 iterations)
Info:Linear Algebra: Lingen CPU time 322.05, WCT time 81.71
Info:Linear Algebra: Mksol: CPU time 15335.84,  WCT time 3943.04, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.54/1.95316
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 280.24/259.471
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 223.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 120.63/31.0122
Info:Quadratic Characters: Total cpu/real time for characters: 57.39/25.5858
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 95.65/101.975
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.7s
Info:Square Root: Total cpu/real time for sqrt: 1599.65/478.585
Info:Filtering - Singleton removal: Total cpu/real time for purge: 154.14/177.371
Info:Filtering - Merging: Merged matrix has 1643539 rows and total weight 280763476 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 423.25/116.674
Info:Filtering - Merging: Total cpu/real time for replay: 61.47/52.6505
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 608106/162878
Info:root: Cleaning up computation data in /tmp/cado.u3ut_290
171553528221177881559643750319523980853498824169187631821026809311192875918482245477 135891816507751961931741911986148645147950814761595512787

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)

137700201393329402212903876008227198468319500059980580360917820983732957707012761331363530450217741034720628337175177714947312321489855931482254512330259005338613524167145324459<177>

284174679224172211877798873566215997342689004001<48>
484561825737838190522626252962768056064367217215992847340217437451994046318937696145784568601457357578036620423354335878940488459<129>

Number: n
N=137700201393329402212903876008227198468319500059980580360917820983732957707012761331363530450217741034720628337175177714947312321489855931482254512330259005338613524167145324459  ( 177 digits)
SNFS difficulty: 186 digits.
Divisors found:

Fri Aug  5 12:23:43 2022  p48 factor: 284174679224172211877798873566215997342689004001
Fri Aug  5 12:23:43 2022  p129 factor: 484561825737838190522626252962768056064367217215992847340217437451994046318937696145784568601457357578036620423354335878940488459
Fri Aug  5 12:23:43 2022  elapsed time 00:20:03 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 11x10^185-14 = 36(184)2
#
n: 137700201393329402212903876008227198468319500059980580360917820983732957707012761331363530450217741034720628337175177714947312321489855931482254512330259005338613524167145324459
m: 10000000000000000000000000000000000000
deg: 5
c5: 11
c0: -14
skew: 1.05
# Murphy_E = 6.425e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1609433 hash collisions in 12416353 relations (11473513 unique)
Msieve: matrix is 870302 x 870527 (302.6 MB)

Sieving start time : 2022/08/05 09:00:23
Sieving end time  : 2022/08/05 12:03:23

Total sieving time: 3hrs 3min 0secs.

Total relation processing time: 0hrs 11min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 13sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,51,51,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118626] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153533] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.35 BogoMIPS (lpj=12798700)
[    0.152037] smpboot: Total of 16 processors activated (102389.60 BogoMIPS)

1286213198042750535789371217217353847316015561254015615250062976612736238124690572518289506299526363759266598254638422257623121927779655918846039361272133287117<160>

20683910857446335011241153651732755315811975939<47>
62184236187602108172804299209979410499638885030302542696955525047672986680302902640839002776418709034873810718703<113>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1286213198042750535789371217217353847316015561254015615250062976612736238124690572518289506299526363759266598254638422257623121927779655918846039361272133287117 (160 digits)
Using B1=15630000, B2=46848203230, polynomial Dickson(12), sigma=1:2022015930
Step 1 took 35957ms
Step 2 took 13417ms
********** Factor found in step 2: 20683910857446335011241153651732755315811975939
Found prime factor of 47 digits: 20683910857446335011241153651732755315811975939
Prime cofactor 62184236187602108172804299209979410499638885030302542696955525047672986680302902640839002776418709034873810718703 has 113 digits

2032190994190058610522115337499261700808298641070350138463338075240376704744174565516838387548411042337037213529254303303846143327630518063369563<145>

918075053125459728167833364893428856889<39>
2213534707507567083219885112189574688287136390243730548424492539836895232320261126160769396071424105622067<106>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2032190994190058610522115337499261700808298641070350138463338075240376704744174565516838387548411042337037213529254303303846143327630518063369563 (145 digits)
Using B1=10120000, B2=35133066160, polynomial Dickson(12), sigma=1:2277623284
Step 1 took 20849ms
Step 2 took 10023ms
********** Factor found in step 2: 918075053125459728167833364893428856889
Found prime factor of 39 digits: 918075053125459728167833364893428856889
Prime cofactor 2213534707507567083219885112189574688287136390243730548424492539836895232320261126160769396071424105622067 has 106 digits

39520011496730617230725012574549112596105482503413091901990371488108069267801968815118200761658403391535532083063878709491988215851117338506862111087159588991880434001580800459869224689229<188>

53910479140734191547665820780666709673<38>
733067339163559980677279013296212040857978080414289497006035752046033954970956277171239041103698178913332094968691946062611805226479686874529652544773<150>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 39520011496730617230725012574549112596105482503413091901990371488108069267801968815118200761658403391535532083063878709491988215851117338506862111087159588991880434001580800459869224689229 (188 digits)
Using B1=12910000, B2=35135665120, polynomial Dickson(12), sigma=1:2562818306
Step 1 took 34491ms
Step 2 took 12719ms
********** Factor found in step 2: 53910479140734191547665820780666709673
Found prime factor of 38 digits: 53910479140734191547665820780666709673
Prime cofactor 733067339163559980677279013296212040857978080414289497006035752046033954970956277171239041103698178913332094968691946062611805226479686874529652544773 has 150 digits

390252318497080283322000315015902636211492329319047914037391676044101594098645489413232289745457225113396394070737756285552325798578163707558430769217132955663<159>

6896438689234612099383982446940351<34>
56587513654876221570438735053706649691771920557351270474634160083909665880330426336135789837416905845794913518246682605096113<125>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 390252318497080283322000315015902636211492329319047914037391676044101594098645489413232289745457225113396394070737756285552325798578163707558430769217132955663 (159 digits)
Using B1=11640000, B2=35134040770, polynomial Dickson(12), sigma=1:1795793249
Step 1 took 18772ms
Step 2 took 8092ms
********** Factor found in step 2: 6896438689234612099383982446940351
Found prime factor of 34 digits: 6896438689234612099383982446940351
Prime cofactor 56587513654876221570438735053706649691771920557351270474634160083909665880330426336135789837416905845794913518246682605096113 has 125 digits

909978456594148366531324709305542126998291012999542051108457655757452922658572147503627970325528135347338178372663288065296526282049148428831772488037291953449845558286370813<174>

17746084969282864551082545418046517056868323294573639361138956740983103<71>
51277701992819964750197018252830826705591324797161178096843413401660795089032735701761710888829989573571<104>

Number: n
N=909978456594148366531324709305542126998291012999542051108457655757452922658572147503627970325528135347338178372663288065296526282049148428831772488037291953449845558286370813  ( 174 digits)
SNFS difficulty: 195 digits.
Divisors found:

Tue Aug 16 10:32:55 2022  p71 factor: 17746084969282864551082545418046517056868323294573639361138956740983103
Tue Aug 16 10:32:55 2022  p104 factor: 51277701992819964750197018252830826705591324797161178096843413401660795089032735701761710888829989573571
Tue Aug 16 10:32:55 2022  elapsed time 00:53:46 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 11x10^194-14 = 36(193)2
#
n: 909978456594148366531324709305542126998291012999542051108457655757452922658572147503627970325528135347338178372663288065296526282049148428831772488037291953449845558286370813
m: 500000000000000000000000000000000000000
deg: 5
c5: 88
c0: -35
skew: 0.83
# Murphy_E = 2.471e-11
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3347432 hash collisions in 28820819 relations (27143995 unique)
Msieve: matrix is 1518091 x 1518317 (531.6 MB)

Sieving start time : 2022/08/16 04:05:26
Sieving end time  : 2022/08/16 09:38:07

Total sieving time: 5hrs 32min 41secs.

Total relation processing time: 0hrs 43min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 57sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12700000,12700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

271021629420074698328092250786500370635161185154155387739990858281768816019945297336297871791129168114094020121247830376937326180145540411625599868624640273625707730995356712423565210581<186>

36574100985934730669072847188002259494929047287<47>
7410206187277200447110070810695170564484486315451073641495981791980231527910855630986302977384463345499205115190731448229529240912504124563<139>

Number: n
N=271021629420074698328092250786500370635161185154155387739990858281768816019945297336297871791129168114094020121247830376937326180145540411625599868624640273625707730995356712423565210581  ( 186 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Aug 15 02:35:20 2022  p47 factor: 36574100985934730669072847188002259494929047287
Mon Aug 15 02:35:20 2022  p139 factor: 7410206187277200447110070810695170564484486315451073641495981791980231527910855630986302977384463345499205115190731448229529240912504124563
Mon Aug 15 02:35:20 2022  elapsed time 00:55:44 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 11x10^195-14 = 36(194)2
#
n: 271021629420074698328092250786500370635161185154155387739990858281768816019945297336297871791129168114094020121247830376937326180145540411625599868624640273625707730995356712423565210581
m: 1000000000000000000000000000000000000000
deg: 5
c5: 11
c0: -14
skew: 1.05
# Murphy_E = 2.486e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3156357 hash collisions in 27881306 relations (26348678 unique)
Msieve: matrix is 1558136 x 1558362 (543.3 MB)

Sieving start time : 2022/08/14 20:43:12
Sieving end time  : 2022/08/15 01:38:57

Total sieving time: 4hrs 55min 45secs.

Total relation processing time: 0hrs 46min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 46sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

57048908063914335069319997821334853759581580489359868540156764397876743441415803154352151916782534515667491525896754766117558013686738855698121479062048197781095074328329384877849749963<185>

10172385520228495309797540294182171170668156110207321537<56>
13419548046748467779892172351676049968703298206167013940721968973<65>
417913726276370813378420569810191726656385435075402977255847345463<66>

Number: n
N=57048908063914335069319997821334853759581580489359868540156764397876743441415803154352151916782534515667491525896754766117558013686738855698121479062048197781095074328329384877849749963  ( 185 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Aug 15 15:48:28 2022  found factor: 13419548046748467779892172351676049968703298206167013940721968973
Mon Aug 15 15:50:24 2022  p56 factor: 10172385520228495309797540294182171170668156110207321537
Mon Aug 15 15:50:24 2022  p65 factor: 13419548046748467779892172351676049968703298206167013940721968973
Mon Aug 15 15:50:24 2022  p66 factor: 417913726276370813378420569810191726656385435075402977255847345463
Mon Aug 15 15:50:24 2022  elapsed time 00:58:11 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 11x10^196-14 = 36(195)2
#
n: 57048908063914335069319997821334853759581580489359868540156764397876743441415803154352151916782534515667491525896754766117558013686738855698121479062048197781095074328329384877849749963
m: 1000000000000000000000000000000000000000
deg: 5
c5: 55
c0: -7
skew: 0.66
# Murphy_E = 2.206e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3772709 hash collisions in 30385136 relations (28329892 unique)
Msieve: matrix is 1553072 x 1553297 (541.2 MB)

Sieving start time : 2022/08/15 08:41:32
Sieving end time  : 2022/08/15 14:51:40

Total sieving time: 6hrs 10min 8secs.

Total relation processing time: 0hrs 46min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 52sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

8793169891894863211407088351597549710698776666842812182523545307297484567399380352352867521174822156677378756939065276133234561451266382240681262547567829778550527469087<169>

97907028291562327390778461897214714201733875108899793<53>
701754873007942171141467207112239464658021978288334349<54>
127981194181292962469577170956644719186212489177717326670771691<63>

Number: n
N=8793169891894863211407088351597549710698776666842812182523545307297484567399380352352867521174822156677378756939065276133234561451266382240681262547567829778550527469087  ( 169 digits)
SNFS difficulty: 197 digits.
Divisors found:

Fri Aug 19 03:07:49 2022  found factor: 701754873007942171141467207112239464658021978288334349
Fri Aug 19 03:12:57 2022  p53 factor: 97907028291562327390778461897214714201733875108899793
Fri Aug 19 03:12:57 2022  p54 factor: 701754873007942171141467207112239464658021978288334349
Fri Aug 19 03:12:57 2022  p63 factor: 127981194181292962469577170956644719186212489177717326670771691
Fri Aug 19 03:12:57 2022  elapsed time 01:21:56 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
#
# N = 11x10^197-14 = 36(196)2
#
n: 8793169891894863211407088351597549710698776666842812182523545307297484567399380352352867521174822156677378756939065276133234561451266382240681262547567829778550527469087
m: 1000000000000000000000000000000000000000
deg: 5
c5: 550
c0: -7
skew: 0.42
# Murphy_E = 1.568e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3837253 hash collisions in 28862545 relations (26553314 unique)
Msieve: matrix is 1854555 x 1854780 (644.9 MB)

Sieving start time : 2022/08/18 17:59:20
Sieving end time  : 2022/08/19 01:50:10

Total sieving time: 7hrs 50min 50secs.

Total relation processing time: 1hrs 5min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 48sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

11592360595106593748960560680810471764138299704917633640979613572273017958488104162521866032394318136336992423227907235480602928984388742643453402506082991<155>

892531571303439391918188742060240318914546623<45>
12988179878250456133814663214900018673871830833500075941123350687398191366903904527359197984051200459745004817<110>

Number: n
N=11592360595106593748960560680810471764138299704917633640979613572273017958488104162521866032394318136336992423227907235480602928984388742643453402506082991  ( 155 digits)
SNFS difficulty: 201 digits.
Divisors found:

Tue Oct 11 09:38:47 2022  p45 factor: 892531571303439391918188742060240318914546623
Tue Oct 11 09:38:47 2022  p110 factor: 12988179878250456133814663214900018673871830833500075941123350687398191366903904527359197984051200459745004817
Tue Oct 11 09:38:47 2022  elapsed time 01:34:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 11x10^200-14 = 36(199)2
#
n: 11592360595106593748960560680810471764138299704917633640979613572273017958488104162521866032394318136336992423227907235480602928984388742643453402506082991
m: 10000000000000000000000000000000000000000
deg: 5
c5: 11
c0: -14
skew: 1.05
# Murphy_E = 1.537e-11
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 27884917)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1952012 hash collisions in 13681970 relations (12415156 unique)
Msieve: matrix is 2116367 x 2116592 (740.6 MB)

Sieving start time : 2022/10/10 23:22:48
Sieving end time  : 2022/10/11 08:03:31

Total sieving time: 8hrs 40min 43secs.

Total relation processing time: 1hrs 25min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15700000,15700000,27,27,53,53,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

12106804023861410112483215567148737590525875542054634704704043672543969710977569393999427678355235642431046247991371150586629685883466508177595808844570648704571969446829117964295934315085077813731317<200>

2305562978922374486740602333187825491233<40>

5251127006524089204485327759997581080297589545119586546855879847566083916258250482689554586544477391464504520758600890566168627361783009712185808199525238027349<160>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 18:15:33 2022 
Input number is 12106804023861410112483215567148737590525875542054634704704043672543969710977569393999427678355235642431046247991371150586629685883466508177595808844570648704571969446829117964295934315085077813731317 (200 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3037871823
Step 1 took 0ms
Step 2 took 3300ms
********** Factor found in step 2: 2305562978922374486740602333187825491233
Found prime factor of 40 digits: 2305562978922374486740602333187825491233
Composite cofactor 5251127006524089204485327759997581080297589545119586546855879847566083916258250482689554586544477391464504520758600890566168627361783009712185808199525238027349 has 160 digits

5251127006524089204485327759997581080297589545119586546855879847566083916258250482689554586544477391464504520758600890566168627361783009712185808199525238027349<160>

24743204947701193878162215742940785501016538893372865471080671133259488880909<77>
212225013599620746178042830702018384060880241720306894295408756355264108084599789161<84>

Number: n
N=5251127006524089204485327759997581080297589545119586546855879847566083916258250482689554586544477391464504520758600890566168627361783009712185808199525238027349  ( 160 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon Jan 15 23:53:24 2024  prp77 factor: 24743204947701193878162215742940785501016538893372865471080671133259488880909
Mon Jan 15 23:53:24 2024  prp84 factor: 212225013599620746178042830702018384060880241720306894295408756355264108084599789161
Mon Jan 15 23:53:24 2024  elapsed time 03:15:07 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# N = 11x10^203-14 = 36(202)2
#
n: 5251127006524089204485327759997581080297589545119586546855879847566083916258250482689554586544477391464504520758600890566168627361783009712185808199525238027349
m: 10000000000000000000000000000000000000000
deg: 5
c5: 5500
c0: -7
skew: 0.26
# Murphy_E = 7.753e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 63100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4146650 hash collisions in 20942596 relations (17050260 unique)
Msieve: matrix is 2456097 x 2456322 (689.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 3hrs 2min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 34sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

54478968592280290529405815719044629072018125846219342827135558234600108026842084983427002490877496709222665350850996157845976861890564827050571043596150773616211910905292869525148432902563176040664687<200>

1462988777967859126840026522834910810769599999<46>
6139067254671632655824834356607505988117001471710566489043<58>
6065763742333329392106087678885288715114893196587112816976328778399251447453403227866636742986891<97>

Number: n
N=54478968592280290529405815719044629072018125846219342827135558234600108026842084983427002490877496709222665350850996157845976861890564827050571043596150773616211910905292869525148432902563176040664687  ( 200 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Apr  6 07:51:00 2024  prp46 factor: 1462988777967859126840026522834910810769599999
Sat Apr  6 07:51:00 2024  prp58 factor: 6139067254671632655824834356607505988117001471710566489043
Sat Apr  6 07:51:00 2024  prp97 factor: 6065763742333329392106087678885288715114893196587112816976328778399251447453403227866636742986891
Sat Apr  6 07:51:00 2024  elapsed time 02:56:39 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 11x10^206-14 = 36(205)2
#
n: 54478968592280290529405815719044629072018125846219342827135558234600108026842084983427002490877496709222665350850996157845976861890564827050571043596150773616211910905292869525148432902563176040664687
m: 100000000000000000000000000000000000000000
deg: 5
c5: 55
c0: -7
skew: 0.66
# Murphy_E = 8.387e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3942780 hash collisions in 19172745 relations (15777717 unique)
Msieve: matrix is 2349502 x 2349727 (664.0 MB)

Sieving start time: 2024/04/05 15:42:31
Sieving end time  : 2024/04/06 04:53:56

Total sieving time: 13hrs 11min 25secs.

Total relation processing time: 2hrs 41min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 23sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19500000,19500000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2509687314025820756750590566923520609617162724554826679198213994900954787933363696074630493333722515768790245633755924950394521440181661332776185563170125613151448671<166>

36025337425530157736296997643473804236481<41>

69664505411329608948457201542858504448949242209863043702096689497424319430812876932440318283336049679362474606442442617416991<125>

Resuming ECM residue saved by @f382d02a086d with GMP-ECM 7.0.5-dev on Mon Jan 22 07:10:53 2024 
Input number is 2509687314025820756750590566923520609617162724554826679198213994900954787933363696074630493333722515768790245633755924950394521440181661332776185563170125613151448671 (166 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3327781828
Step 1 took 0ms
Step 2 took 7111ms
********** Factor found in step 2: 36025337425530157736296997643473804236481
Found prime factor of 41 digits: 36025337425530157736296997643473804236481
Composite cofactor 69664505411329608948457201542858504448949242209863043702096689497424319430812876932440318283336049679362474606442442617416991 has 125 digits

69664505411329608948457201542858504448949242209863043702096689497424319430812876932440318283336049679362474606442442617416991<125>

14162806294146698562272053506108349340373397500169831<53>
4918834866796210589014538253270344000838575809733569150487286182239668361<73>

CADO:



STA:Wed 24 Jan 2024 07:27:46 AEDT (69664505411329608948457201542858504448949242209863043702096689497424319430812876932440318283336049679362474606442442617416991 - C125)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 69664505411329608948457201542858504448949242209863043702096689497424319430812876932440318283336049679362474606442442617416991 2

>&1 | tee -a log-03



Debug:root: Looking for parameter file for c125 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c125

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c125

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.foanp22g

Info:Database: Opened connection to database /tmp/cado.foanp22g/c125.db

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

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

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

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

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

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

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

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 6966450541132960894845720154285850444894924220986304370209668949742431943081287693244031828

3336049679362474606442442617416991

Debug:root: Root parameter dictionary:

N = 69664505411329608948457201542858504448949242209863043702096689497424319430812876932440318283336049679362474606442442617416991

===

New best polynomial is:

n: 69664505411329608948457201542858504448949242209863043702096689497424319430812876932440318283336049679362474606442442617416991

skew: 161640.656

c0: -1262005770743314740723851906805

c1: -30561800469787041088715104

c2: 166241422624896610170

c3: -685570470419462

c4: 2579485029

c5: 20520

Y0: -1547669434856921597230396

Y1: 2737270073059334071

# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=1.342e+13) = 3.181e-06

# f(x) = 20520*x^5+2579485029*x^4-685570470419462*x^3+166241422624896610170*x^2-30561800469787041088715104*x-1262005770743314740723851906805

# g(x) = 2737270073059334071*x-1547669434856921597230396

===

Info:Square Root: finished

Info:Square Root: Factors: 14162806294146698562272053506108349340373397500169831 4918834866796210589014538253270344000838575809733569150487286182239668361

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

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 1370.99/207.144

Info:HTTP server: Got notification to stop serving Workunits

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 29080872

Info:Lattice Sieving: Average J: 3956.42 for 123148 special-q, max bucket fill -bkmult 1.0,1s:1.394230

Info:Lattice Sieving: Total time: 191407s

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

Info:Polynomial Selection (size optimized): potential collisions: 39657.6

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 27134/37.200/46.064/57.900/2.389

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 22572/36.070/40.385/55.110/1.720

Info:Polynomial Selection (size optimized): Total time: 5163.49

Info:Generate Free Relations: Total cpu/real time for freerel: 405.93/42.7167

Info:Square Root: Total cpu/real time for sqrt: 1370.99/207.144

Info:Generate Factor Base: Total cpu/real time for makefb: 2.86/1.01997

Info:Quadratic Characters: Total cpu/real time for characters: 41.31/10.0045

Info:Filtering - Singleton removal: Total cpu/real time for purge: 203.45/200.428

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 195.29/890.564

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

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 889.6s

Info:Filtering - Merging: Total cpu/real time for merge: 93.98/16.968

Info:Filtering - Merging: Total cpu/real time for replay: 17.32/15.1863

Info:Linear Algebra: Total cpu/real time for bwc: 8693.26/3373.76

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 4684.98, WCT time 1972.04, iteration CPU time 0.02, COMM 0.04, cpu-wait 0.01, comm-wait 0.0 (30000 iterations)

Info:Linear Algebra: Lingen CPU time 265.45, WCT time 34.02

Info:Linear Algebra: Mksol: CPU time 2885.32,  WCT time 1098.05, iteration CPU time 0.02, COMM 0.04, cpu-wait 0.01, comm-wait 0.0 (15000 iterations)

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 558.72/1188.69

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

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 839.6000000000001s

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

Info:Polynomial Selection (root optimized): Total time: 1192.05

Info:Polynomial Selection (root optimized): Rootsieve time: 1191.19

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 129794/24643.2 [06:50:43]

Info:root: Cleaning up computation data in /tmp/cado.foanp22g

14162806294146698562272053506108349340373397500169831 4918834866796210589014538253270344000838575809733569150487286182239668361



END:Wed 24 Jan 2024 14:18:31 AEDT (69664505411329608948457201542858504448949242209863043702096689497424319430812876932440318283336049679362474606442442617416991 - C125)

4553315941419681239995541525070816100144003315540750442971221727539334545409722690626946168041824893983660524039472227863605613473029654226697696890981<151>

785998189848765267293520197135129272848535569926223968684007145052129703616099398883554006900976770920808363380549806666426812564368802826806113981554089367925398553088067932889452840638657463419<195>

5000018772797756049756804996004212270360615081218441301965979199540085545957549822437060604600269999195542434172957394830946047097431374901434857205418416707328182968541509160393484022808194725312923220339<205>

28485761203339431573672303756290280702333847209496447119079074290432570180799027630553395828864170104098022998525435782747844590068675501388260955938560684687696458624663579430171811<182>

26070707960811009490954851750275900136318688971265497163597798762042059972595219667464941905601770400672079721852531925137622383208432902270149340970529842499583262154791103332239760894173<188>

256701788286902882982741718137704564106435021792065202393756653435476241163549739760519317404230177516450280331474877642857978656302785766562879519515596732491414896974463997794723256891390171641539<198>

76910477659796450555260960806449757214298716485403649158523458802488100430048065235592760846168679194770378232223353711085695838634401995828810765705128405167246701381<167>

5211474551100434645831453170966155247176493<43>
14757911010724658336662522569604583289013866058393367932230663800827044067890764356121036862639826777679900210192099902257017<125>

GPU: factor 5211474551100434645831453170966155247176493 found in Step 1 with curve 707 (-sigma 3:-579868752)
Computing 1792 Step 1 took 1142ms of CPU time / 654647ms of GPU time
Throughput: 2.737 curves per second (on average 365.32ms per Step 1)
********** Factor found in step 1: 5211474551100434645831453170966155247176493
Found prime factor of 43 digits: 5211474551100434645831453170966155247176493
Prime cofactor 14757911010724658336662522569604583289013866058393367932230663800827044067890764356121036862639826777679900210192099902257017 has 125 digits
Peak memory usage: 9470MB

313117691926443556904498341710538417114431579683028281803329914475920294599689077682795656250348993361104536723046187405774801006440132471734432339863092867357575863687080961972411<180>

4572519514206256357251116224238580233811371110436840919054517124555306191838268859792180022021731996233588200223220631384303646071840152358153098708787651985673282810206317972481235570119953749768904473<202>

3959331157055097799620615147914144088904490172651934298491631820405333450577716715815281<88>
1154871702524433590235782926507771256759597243391025311468916523506824067452307032489176821512305055101926681224233<115>

Number: 36662_219
N = 4572519514206256357251116224238580233811371110436840919054517124555306191838268859792180022021731996233588200223220631384303646071840152358153098708787651985673282810206317972481235570119953749768904473 (202 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=3959331157055097799620615147914144088904490172651934298491631820405333450577716715815281 (pp88)
r2=1154871702524433590235782926507771256759597243391025311468916523506824067452307032489176821512305055101926681224233 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 63.99 hours.
Factorization parameters were as follows:
n: 4572519514206256357251116224238580233811371110436840919054517124555306191838268859792180022021731996233588200223220631384303646071840152358153098708787651985673282810206317972481235570119953749768904473
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: -140
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: 30743012
Relations: 8825662 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.75 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 7507549 x 7507774
Matrix solve time: 39.47 hours.
time per square root: 0.42 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: 63.99 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

5704277572607444103689347651552237548543468678335622721011581568776749170933359195740889486649454456358304600662792078752214390147321735773275517438051578386633562261860235743095805186203740838645927<199>

315283455945060001155105576403319514076921<42>

18092536937940213590404796494971487463144436385943448206666291211259183176923004220924889755919854951323026890712293315525483453877678728999247184843589577887<158>

Resuming ECM residue saved by @f382d02a086d with GMP-ECM 7.0.5-dev on Mon Jan 22 05:45:32 2024 
Input number is 5704277572607444103689347651552237548543468678335622721011581568776749170933359195740889486649454456358304600662792078752214390147321735773275517438051578386633562261860235743095805186203740838645927 (199 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:315588190
Step 1 took 0ms
Step 2 took 8776ms
********** Factor found in step 2: 315283455945060001155105576403319514076921
Found prime factor of 42 digits: 315283455945060001155105576403319514076921
Composite cofactor 18092536937940213590404796494971487463144436385943448206666291211259183176923004220924889755919854951323026890712293315525483453877678728999247184843589577887 has 158 digits

3467170557203703927770955045728315899627428386014804848306113506189723728141982217955421277718098742316504542385903831495483270214692490756349796586736621901797716169609383785560084206010848194136096047<202>

159101343280961923166620222511836199<36>

21792214230906407291587106438715302413963841463191040306482938425235636629803623350718301034327007417996312308493212409041479476564994207320350622540144196549645722553<167>

GPU: factor 159101343280961923166620222511836199 found in Step 1 with curve 650 (-sigma 3:382301556)
Computing 1792 Step 1 took 289ms of CPU time / 175242ms of GPU time
Throughput: 10.226 curves per second (on average 97.79ms per Step 1)
********** Factor found in step 1: 159101343280961923166620222511836199
Found prime factor of 36 digits: 159101343280961923166620222511836199
Composite cofactor 21792214230906407291587106438715302413963841463191040306482938425235636629803623350718301034327007417996312308493212409041479476564994207320350622540144196549645722553 has 167 digits
Peak memory usage: 9428MB

46447168135997235575034185444244133601352654601880862118670638801224347578419842085546015639019040782264330030459672459026146394576624396424367971215815965939830702725762647929856856502331361149<194>

1920406926387515149822353131522133318187245089313053828855247734317628781879760817339015543403691241207244872665680735669655092018577392614587843044509135233043533189771483825642270388689394481805943<199>

1499856143285171535460718888324026116414754523408248297375737186213045172850446546376032195297347331567992994622086901110130702386706486036118389<145>

2159840539661320625472301101630493517<37>
694429109808430742773475743931784823940185124730017400014083219635213072802387055721790929299180646096495817<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2790917600
Step 1 took 5937ms
Step 2 took 3328ms
********** Factor found in step 2: 2159840539661320625472301101630493517
Found prime factor of 37 digits: 2159840539661320625472301101630493517
Prime cofactor 694429109808430742773475743931784823940185124730017400014083219635213072802387055721790929299180646096495817 has 108 digits
 

GMP-ECM

19912659064723169899894453955581263052146253320934908515775103257638117776457013061038064147128860535407780686596410537122133079164879935013389710005222839686162141635527811<173>

22487277660736107725775553133158535241379973402737691262806727080940638679838563948264491386771341650246878477095779560901441431800885875943777801020649320671028456082389761968796351865328751865317<197>

2399733392882019645849970853655999593557982991366235682317675279788888300331179537396623465848496573987622149732343063565526161611843437944656970982688626066888721857<166>

52088257161640481781394486254397441<35>

46070525750845486489616372846638173046155568618522673752065523953576253946548590563696889008546803486436696374357915353182433942977<131>

Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Sat Sep  3 04:00:33 2022 
Input number is 2399733392882019645849970853655999593557982991366235682317675279788888300331179537396623465848496573987622149732343063565526161611843437944656970982688626066888721857 (166 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3050730917
Step 1 took 0ms
Step 2 took 1281ms
********** Factor found in step 2: 52088257161640481781394486254397441
Found prime factor of 35 digits: 52088257161640481781394486254397441
Composite cofactor 46070525750845486489616372846638173046155568618522673752065523953576253946548590563696889008546803486436696374357915353182433942977 has 131 digits

46070525750845486489616372846638173046155568618522673752065523953576253946548590563696889008546803486436696374357915353182433942977<131>

23382728763643394285807151756362800008365820827<47>
1970280124981742256707360117185991080259875680249817655943132279036178965100646250451<85>

46070525750845486489616372846638173046155568618522673752065523953576253946548590563696889008546803486436696374357915353182433942977=23382728763643394285807151756362800008365820827*1970280124981742256707360117185991080259875680249817655943132279036178965100646250451

cado polynomial
n: 46070525750845486489616372846638173046155568618522673752065523953576253946548590563696889008546803486436696374357915353182433942977
skew: 57354.787
c0: -120198496562726719389092467445
c1: -7321365354753296215446045
c2: 449432550134822981001
c3: 4034968171618497
c4: -48224600452
c5: 202860
Y0: -11886157087358387042607066
Y1: 2172036210149632277
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.282e-07
# f(x) = 202860*x^5-48224600452*x^4+4034968171618497*x^3+449432550134822981001*x^2-7321365354753296215446045*x-120198496562726719389092467445
# g(x) = 2172036210149632277*x-11886157087358387042607066

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1970280124981742256707360117185991080259875680249817655943132279036178965100646250451 23382728763643394285807151756362800008365820827
Info:Square Root: Total cpu/real time for sqrt: 759.1/229.667
Info:Filtering - Merging: Merged matrix has 1761834 rows and total weight 301362794 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 443.9/124.911
Info:Filtering - Merging: Total cpu/real time for replay: 70.07/59.1254
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24431845
Info:Lattice Sieving: Average J: 7642.92 for 73218 special-q, max bucket fill -bkmult 1.0,1s:1.068640
Info:Lattice Sieving: Total time: 100038s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5602.34
Info:Polynomial Selection (root optimized): Rootsieve time: 5599.84
Info:Linear Algebra: Total cpu/real time for bwc: 51209/13153
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32785.35, WCT time 8369.49, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Linear Algebra: Lingen CPU time 348.86, WCT time 88.56
Info:Linear Algebra: Mksol: CPU time 17750.21,  WCT time 4573.48, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38768/38.050/46.673/50.940/0.836
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30679/37.490/41.930/47.490/1.026
Info:Polynomial Selection (size optimized): Total time: 4839.91
Info:Generate Factor Base: Total cpu/real time for makefb: 40.92/11.3199
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 385.64/367.205
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 315.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 253.15/64.0327
Info:Quadratic Characters: Total cpu/real time for characters: 68.04/29.5908
Info:Square Root: Total cpu/real time for sqrt: 759.1/229.667
Info:Filtering - Singleton removal: Total cpu/real time for purge: 255.68/283.709
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.35/116.432
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 251615/67728.7
Info:root: Cleaning up computation data in /tmp/cado.v0hvw5ld
1970280124981742256707360117185991080259875680249817655943132279036178965100646250451 23382728763643394285807151756362800008365820827

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)

15164111976618519731723619018625343695085359873864050917366245340102162100725169215700250172214377674334496874034540120024013900486734526750856532121988900592249574025270307988643558630182411143319359<200>

31281624208773018840427060823646446554511903361085104743346801797399949504941915195292768297717575871440505492228624910138176256125976497399580138573165998022691997177189953613719876959427855825601728426830027<209>

9057031302746915257474932607453442742271470516069643630519231370921659972697167454628390005648294066985803515116185244284601564725662521839795936851084291320235219336597158068250494431572481774782919427002797799306066728913172711<229>

18333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<236>

183333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331<237>

2785997191096625889104684069473955443022551085573555631712665010912949156025697686736475240926588360005435502401780880701666451880516140546881682273970682870945690018410566352929652482593768399488047827238181827586824384283<223>

37396382845751670830009692465057787<35>

74499108712946621942827133082433760424208575941077962201099406395862018219179460424000852156130798372909296776166274980197524314744722469001188095195545482452456009864809350366849350816609<188>

GPU: factor 37396382845751670830009692465057787 found in Step 1 with curve 244 (-sigma 3:-1587998818)
Computing 1792 Step 1 took 298ms of CPU time / 175359ms of GPU time
Throughput: 10.219 curves per second (on average 97.86ms per Step 1)
********** Factor found in step 1: 37396382845751670830009692465057787
Found prime factor of 35 digits: 37396382845751670830009692465057787
Composite cofactor 74499108712946621942827133082433760424208575941077962201099406395862018219179460424000852156130798372909296776166274980197524314744722469001188095195545482452456009864809350366849350816609 has 188 digits
Peak memory usage: 9428MB

940803528312734085267786563938249219528654126187081411251666405508899780496154705576112372909324644446996749249924430896398443900277602585147863517339911951362097684861159417879592355459280461138751163189<204>

14145691787731453068707746505071115603077700264386855147730732057821704093362448165506477653797160840617760036469054580525249205072607607202666687790190519646214509171912241422752294876484699344975640146393762133<212>

806032444555265584534632206829155407<36>
17549779643841066546840324538356698007627765330017833190144335093480661156724983058062173689542491893672103182664245799994866720178338891374970887888031959180599883777795304219<176>

Resuming ECM residue saved by @3a651174f91b with GMP-ECM 7.0.5-dev on Sat Sep  3 14:58:44 2022 
Input number is 14145691787731453068707746505071115603077700264386855147730732057821704093362448165506477653797160840617760036469054580525249205072607607202666687790190519646214509171912241422752294876484699344975640146393762133 (212 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1100520393
Step 1 took 0ms
Step 2 took 3571ms
********** Factor found in step 2: 806032444555265584534632206829155407
Found prime factor of 36 digits: 806032444555265584534632206829155407
Prime cofactor 17549779643841066546840324538356698007627765330017833190144335093480661156724983058062173689542491893672103182664245799994866720178338891374970887888031959180599883777795304219 has 176 digits

11419311393102422692386319421022496447263807831092157754492332587126377374203035446138258084626469249873467102100111031061457341341794883356896562532434687684684255500111721876461019356956351760557467431802776242882485499<221>

878155318997776115425525389612353793965363159510318559623172126287841291088976238748569986885590594510729960529810867980829057547446499231517575688859851109076101816791655860233405726970330060467088507833262014403835147778346903<228>

79121821871062804091441316054575404551139<41>

11098775258598330499624773533084960295878273806356053012312996431488617805046309708270182451698821485773911437140828121581454446608540893075102303851581906780377987290122480764013542482877<188>

Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Sat Sep  3 08:41:10 2022 
Input number is 878155318997776115425525389612353793965363159510318559623172126287841291088976238748569986885590594510729960529810867980829057547446499231517575688859851109076101816791655860233405726970330060467088507833262014403835147778346903 (228 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3732180977
Step 1 took 0ms
Step 2 took 7686ms
********** Factor found in step 2: 79121821871062804091441316054575404551139
Found prime factor of 41 digits: 79121821871062804091441316054575404551139
Composite cofactor 11098775258598330499624773533084960295878273806356053012312996431488617805046309708270182451698821485773911437140828121581454446608540893075102303851581906780377987290122480764013542482877 has 188 digits

8958522793403212767704944871197780431488743346226933669832202578173989505314531949284482011819943788052429185080772614573394014826310811490507130317125023539306717936362463418020750085724073409472651<199>

400281691288742199293003400915761366323554108699931666755524664898607485053595137843904944231569012511370748926267549596208528744994713014128888549946723271808191252984674168414625906296067639092543704676535274500129793<219>

10721491482939118969734940942800205404727669<44>

37334515624594015551546526320813888123827174909536034937472754381682646055507710635283278364798408956393140637617017543866654988949300670149564345450497536146800850290336191197<176>

Resuming ECM residue saved by @9837e4b819a3 with GMP-ECM 7.0.5-dev on Sat Feb 17 06:19:16 2024 
Input number is 400281691288742199293003400915761366323554108699931666755524664898607485053595137843904944231569012511370748926267549596208528744994713014128888549946723271808191252984674168414625906296067639092543704676535274500129793 (219 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3596772556
Step 1 took 0ms
Step 2 took 9638ms
********** Factor found in step 2: 10721491482939118969734940942800205404727669
Found prime factor of 44 digits: 10721491482939118969734940942800205404727669
Composite cofactor 37334515624594015551546526320813888123827174909536034937472754381682646055507710635283278364798408956393140637617017543866654988949300670149564345450497536146800850290336191197 has 176 digits

9344879337275647755034179877368155302238840204013593280286070774264113782774808449742607641479603186486378242207961951260090811322238851707912131865054493362522984737689714017589359933732775486812081957370978093136652412483706287<229>

60384484481187488334815497952417026228824259192165387613495383331686483756573674560565637934631050799819944446274277307510731969741883776335869481681543207843395584247334848434943952219404279613100139433264165651109427664877090126587837466925771<245>

1375973360221406555355420387386397330289<40>

43884922649571557678220449654901481940218618293014194086762009614427803921089902663679657966534373709031404636628351426986727509854558324189304873595232684587742437507051985805950423864792041696114693100539<206>

Input number is 60384484481187488334815497952417026228824259192165387613495383331686483756573674560565637934631050799819944446274277307510731969741883776335869481681543207843395584247334848434943952219404279613100139433264165651109427664877090126587837466925771 (245 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3349641916
Step 1 took 0ms
Step 2 took 11112ms
********** Factor found in step 2: 1375973360221406555355420387386397330289
Found prime factor of 40 digits: 1375973360221406555355420387386397330289
Composite cofactor 43884922649571557678220449654901481940218618293014194086762009614427803921089902663679657966534373709031404636628351426986727509854558324189304873595232684587742437507051985805950423864792041696114693100539 has 206 digits

2888636462668667143713804603797757736202449507080581671754346976971832200307436096928010118276522062357750409392046780895311916310327648587597893564980900044775980272371516287090834046912775530065109036162652264246136817<220>

104870627754715575932533207514934133277829114791976861352874849830144205989976021363330732227089980005145316133384010731666993959705161881621969612136694746308162762961942446676989246116426706647330258238200952756698095656732546841<231>

475590050657507807187599908492954718827<39>

220506353338828108531257620331017545434258111190229456548543026802643726523099441441431217359341818064003431386897441544032806091690488822949866304800911934641611360446293323143360662805644683<192>

Resuming ECM residue saved by @f382d02a086d with GMP-ECM 7.0.5-dev on Mon Jan 22 10:26:44 2024 
Input number is 104870627754715575932533207514934133277829114791976861352874849830144205989976021363330732227089980005145316133384010731666993959705161881621969612136694746308162762961942446676989246116426706647330258238200952756698095656732546841 (231 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1956092622
Step 1 took 0ms
Step 2 took 10220ms
********** Factor found in step 2: 475590050657507807187599908492954718827
Found prime factor of 39 digits: 475590050657507807187599908492954718827
Composite cofactor 220506353338828108531257620331017545434258111190229456548543026802643726523099441441431217359341818064003431386897441544032806091690488822949866304800911934641611360446293323143360662805644683 has 192 digits

229160021916031336874284017015673763212156492003611337756897249659776226522253441072677360789214479411875456694293837081854982638824429581743174502701142308405284353689432781757330270238861176732718512965486192296797058884644589416812003266115567<246>

2389942994745807841245580398204947507567553536081642340050511232762117916292806104100205074728275133281222605745359950881756868585717146054298647409680250222973747379422710891271144472915155992971013575902605524066167131872397852474921<235>

320943096610458149448133722311886719416174283066284902898887503539514180716052975025928629297449613228492139433951664937477925594363316269802851521863786757122896233372622582241214644424936941996343838397777792296878906269516404279989<234>

9279993624340996071633095998666211191<37>

34584409171213133344389723093124474543203862465317561225406714554520318676481738874047274120370911511823133478080230040765905672657416677892965987718319977868022436807430526773175307657763410364979<197>

Resuming ECM residue saved by @f133299af3b0 with GMP-ECM 7.0.5-dev on Fri Sep  2 22:59:12 2022 
Input number is 320943096610458149448133722311886719416174283066284902898887503539514180716052975025928629297449613228492139433951664937477925594363316269802851521863786757122896233372622582241214644424936941996343838397777792296878906269516404279989 (234 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4037355489
Step 1 took 0ms
Step 2 took 4100ms
********** Factor found in step 2: 9279993624340996071633095998666211191
Found prime factor of 37 digits: 9279993624340996071633095998666211191
Composite cofactor 34584409171213133344389723093124474543203862465317561225406714554520318676481738874047274120370911511823133478080230040765905672657416677892965987718319977868022436807430526773175307657763410364979 has 197 digits

20092043406552450842469022857248611888510270161950845265315005683273432626267028714969166039971070679630988555523074330131131168633441188614583520131367831523185951359022167520396949342404735081639834201429000208083436994223<224>

418818120683355383557246378904493313290719393196888073462487746281980137360161032509933528801058139198978157534720157912867188641947494044355536671242549778371855876495597246124167626689835309736176647358829712581<213>

70833478219993328774233098810126354046330246281564363805895663574463372008412441449690844064605283662322642629647803067475971352365644990334449926526364864534192607818212961496209121033808175213691724975498055942993216728549369002497202077610310263513417792597<260>

1209592821650959798129132936814397863263132346824403179557771466825400632695348701674015746350577246328554199695359154942494905926516603302909455882210509209465986913159330119841653023241162827323596439126557190756347<217>

3017916170465691148968923370933282032270192414943877834981683753715694741249412279344832852688206716300995064960264214412461316947251304476568720795450316443627489781595113237814322149023250800409943416809876802949829347842236386590454450442812556939675983713<259>

167273096696195357130991846115685775958877798198346998919309927763344919639205338681112833524941836792244188018805184647870299311556131343230931827838277023887980976411575464067320291219<186>

12668921594775643466992409085855144335103957207149195737523804142936043230894777969272059046606065149070349161616012750257623785414683018628516098674518885470623531890344196431750200930148766901806173774240665463914253133720701387679<233>

751545376929745827366633547317872975785507250904807019611306759035343299388407791411819608652147634607218480628118060107705610551116765959856059771205141191606132746904799624536960440984847496119576359353710014202570115501623568891073860936727635739988912901<258>

17771569832821769502947163356748410893440284880451292580756727442954906887907953573708521780963603133732938409592300615720532543728862944986627666440969894690155283176613505599498034035483885956002505866697883960664218242529274158549237268354951525367367240977981<263>

57423900017227112828844106922930826854591<41>

309480370150587407822362399780600384127536041397823050105328201285596745481590421959432264829979367978653397254629774675801268821242940464650596408043727720721939640442267767819968992796240352783569137867635174796483212291<222>

Resuming ECM residue saved by @f382d02a086d with GMP-ECM 7.0.5-dev on Mon Jan 22 07:48:55 2024 
Input number is 17771569832821769502947163356748410893440284880451292580756727442954906887907953573708521780963603133732938409592300615720532543728862944986627666440969894690155283176613505599498034035483885956002505866697883960664218242529274158549237268354951525367367240977981 (263 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1853978796
Step 1 took 0ms
Step 2 took 12295ms
********** Factor found in step 2: 57423900017227112828844106922930826854591
Found prime factor of 41 digits: 57423900017227112828844106922930826854591
Composite cofactor 309480370150587407822362399780600384127536041397823050105328201285596745481590421959432264829979367978653397254629774675801268821242940464650596408043727720721939640442267767819968992796240352783569137867635174796483212291 has 222 digits

85703729575701458914319057450705672443457943269685063817141068759268350521391214706394316408597662224146762679781565651476366987937423230488552762070478152587457146358132434741956903801682055952347061<200>