187496686430127358342854794126510436297054799958521777569184922332322232065175312590674718033764830212985407060618172738817926404132191840031729658802198187<156>

4980330661195011930112810950922251790903979051651003<52>
37647437326006426569295857137927515466094277740264578351786019196876049913838227462665353003368086539729<104>

187496686430127358342854794126510436297054799958521777569184922332322232065175312590674718033764830212985407060618172738817926404132191840031729658802198187=4980330661195011930112810950922251790903979051651003*37647437326006426569295857137927515466094277740264578351786019196876049913838227462665353003368086539729

cado polynomial
n: 187496686430127358342854794126510436297054799958521777569184922332322232065175312590674718033764830212985407060618172738817926404132191840031729658802198187
skew: 1.45
type: snfs
c0: -32
c5: 5
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 5*x^5-32
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10600000
tasks.lim1 = 10600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
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: 4980330661195011930112810950922251790903979051651003 37647437326006426569295857137927515466094277740264578351786019196876049913838227462665353003368086539729
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.6/1.93075
Info:Generate Free Relations: Total cpu/real time for freerel: 98.6/25.3071
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23587615
Info:Lattice Sieving: Average J: 1894.1 for 1384031 special-q, max bucket fill -bkmult 1.0,1s:1.114700
Info:Lattice Sieving: Total time: 346618s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.44/116.638
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.19999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 331.69/319.867
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 284.29999999999995s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 246.26/295.674
Info:Filtering - Merging: Merged matrix has 1742474 rows and total weight 299123930 (171.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 269.75/76.7161
Info:Filtering - Merging: Total cpu/real time for replay: 67.59/58.2273
Info:Linear Algebra: Total cpu/real time for bwc: 52551.6/13516.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 8779.72, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54528 iterations)
Info:Linear Algebra: Lingen CPU time 346.54, WCT time 100.58
Info:Linear Algebra: Mksol: WCT time 4540.39, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27392 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 62.96/25.6144
Info:Square Root: Total cpu/real time for sqrt: 424.25/134.995
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 697322/187842
Info:root: Cleaning up computation data in /tmp/cado.jy1gm4fl
4980330661195011930112810950922251790903979051651003 37647437326006426569295857137927515466094277740264578351786019196876049913838227462665353003368086539729

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

5787037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<196>

13759877794256335188580328996865208849<38>
420573287318922921541776306276403166507123430826146414071694172900838689878465372416106566722070521640919186296781426226439152016487539950533792687649215978013<159>

5787037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037=13759877794256335188580328996865208849*420573287318922921541776306276403166507123430826146414071694172900838689878465372416106566722070521640919186296781426226439152016487539950533792687649215978013

cado polynomial
n: 5787037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
skew: 1.36
type: snfs
c0: -32
c6: 5
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 5*x^6-32
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14300000
tasks.lim1 = 14300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 420573287318922921541776306276403166507123430826146414071694172900838689878465372416106566722070521640919186296781426226439152016487539950533792687649215978013 13759877794256335188580328996865208849
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.18/3.22204
Info:Generate Free Relations: Total cpu/real time for freerel: 166.99/42.3169
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28776151
Info:Lattice Sieving: Average J: 1894.78 for 3819902 special-q, max bucket fill -bkmult 1.0,1s:1.136280
Info:Lattice Sieving: Total time: 1.00192e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.57/147.822
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 147.09999999999994s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 487.44/488.413
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 426.50000000000006s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 410.68/487.561
Info:Filtering - Merging: Merged matrix has 2702161 rows and total weight 464321611 (171.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 401.35/115.298
Info:Filtering - Merging: Total cpu/real time for replay: 107.05/95.589
Info:Linear Algebra: Total cpu/real time for bwc: 131734/33704.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 21486.02, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84480 iterations)
Info:Linear Algebra: Lingen CPU time 548.77, WCT time 159.21
Info:Linear Algebra: Mksol: WCT time 11765.62, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 94.42/39.7767
Info:Square Root: Total cpu/real time for sqrt: 729.57/223.205
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.00028e+06/83740
420573287318922921541776306276403166507123430826146414071694172900838689878465372416106566722070521640919186296781426226439152016487539950533792687649215978013 13759877794256335188580328996865208849

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

173611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<201>

43449541346746161966346993012688824860997782466969459044805815450484196566394034891346561<89>
3995694907930540334079019070391643497910212054961103717506819776448537152500627142024929284517613955793381396551<112>

Number: n
N=173611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 201 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Apr 11 18:44:43 2021  p89 factor: 43449541346746161966346993012688824860997782466969459044805815450484196566394034891346561
Sun Apr 11 18:44:43 2021  p112 factor: 3995694907930540334079019070391643497910212054961103717506819776448537152500627142024929284517613955793381396551
Sun Apr 11 18:44:43 2021  elapsed time 01:49:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 5x10^202-32 = 5(201)2
#
n: 173611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 20000000000000000000000000000000000000000
deg: 5
c5: 125
c0: -256
skew: 1.15
# Murphy_E = 1.063e-11
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 21450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5242730 hash collisions in 46284231 relations (42940069 unique)
Msieve: matrix is 2165950 x 2166175 (755.2 MB)

Sieving start time : 2021/04/11 10:32:58
Sieving end time  : 2021/04/11 16:54:40

Total sieving time: 6hrs 21min 42secs.

Total relation processing time: 1hrs 29min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 10sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

167993429925620473194546874364470736928812528860841982589239460967325715899845997021417686226166921415782778078053249251284120804770517216426306990135231581866375973490202359873432683<183>

84377631147107767321983342579264846191<38>
1990971157186590738229685073177449460279317539340764133228038142003867971401742461210632470033926442262773445449220182472086406244582034227734213<145>

#
# N = 5x10^204-32 = 5(203)2
#
n: 167993429925620473194546874364470736928812528860841982589239460967325715899845997021417686226166921415782778078053249251284120804770517216426306990135231581866375973490202359873432683
m: 50000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -2
skew: 1.15
# Murphy_E = 1.44e-11
type: snfs
lss: 1
rlim: 17200000
alim: 17200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 167993429925620473194546874364470736928812528860841982589239460967325715899845997021417686226166921415782778078053249251284120804770517216426306990135231581866375973490202359873432683 (183 digits)
Using B1=38520000, B2=192391699516, polynomial Dickson(12), sigma=1:3233066628
Step 1 took 102827ms
Step 2 took 32620ms
********** Factor found in step 2: 84377631147107767321983342579264846191
Found prime factor of 38 digits: 84377631147107767321983342579264846191
Prime cofactor 1990971157186590738229685073177449460279317539340764133228038142003867971401742461210632470033926442262773445449220182472086406244582034227734213 has 145 digits

1239344610774405967255920497927022630234297602929057138347344867764904457436741868114697080381710208313008081716633075470336237167330162197490852645296796264436877501988900231370766696252301215073285917<202>

2018316377925464663145812241145965945974107603<46>
614048731075685843872953645107486868911989852250448166053507444180905032833356699436247581797733225189177877691589939914329173529922823016736584658430869839<156>

Number: n
N=123934461077440596725592049792702263023429760292905713834734486776490445743674186811469708038171020831300808171663307547033623716733016219749085264529679626443687750198890023137076669625230121507328591
7  ( 202 digits)
SNFS difficulty: 210 digits.
Divisors found:

Mon Apr 12 18:32:07 2021  p46 factor: 2018316377925464663145812241145965945974107603
Mon Apr 12 18:32:07 2021  p156 factor: 614048731075685843872953645107486868911989852250448166053507444180905032833356699436247581797733225189177877691589939914329173529922823016736584658430869839
Mon Apr 12 18:32:07 2021  elapsed time 03:24:35 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 5x10^208-32 = 5(207)2
#
n: 12393446107744059672559204979270226302342976029290571383473448677649044574367418681146970803817102083130080817166330754703362371673301621974908526452967962644368775019889002313707666962523012150732859
17
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -640
skew: 3.64
# Murphy_E = 6.77e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 31000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5542827 hash collisions in 48174153 relations (43877481 unique)
Msieve: matrix is 2860389 x 2860615 (1005.6 MB)

Sieving start time : 2021/04/12 04:37:50
Sieving end time  : 2021/04/12 14:14:13

Total sieving time: 9hrs 36min 23secs.

Total relation processing time: 2hrs 59min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 7sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

265140195924055174058176723204792520343569855206926239185170748734570292692702079914123879058397876621975353209831834241233831261865437298901151230494685430563048224335777642966625626053<186>

12026871199691185498246844416697225477617191315540673711586823619201195547534997336834319132602472359821973152796076600962543528307365065135506709819796477377968784800007362916549320507<185>

25859889282593031986819191200512367163854254406689914754832823894185495150110905855792747526778480346456494155046743445321054035666968132384438936084484600478018826671957778916325730099121092134033635951<203>

7199473041632408769321931000585524545127356012109441435728969455477919<70>
3591914176642233774684243457638681991889391294238954485714468160643014372988296565102165663405258510221334265920081080583051419207729<133>

Number: 55552_220
N = 25859889282593031986819191200512367163854254406689914754832823894185495150110905855792747526778480346456494155046743445321054035666968132384438936084484600478018826671957778916325730099121092134033635951 (203 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=7199473041632408769321931000585524545127356012109441435728969455477919 (pp70)
r2=3591914176642233774684243457638681991889391294238954485714468160643014372988296565102165663405258510221334265920081080583051419207729 (pp133)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 30.78 hours.
Factorization parameters were as follows:
n: 25859889282593031986819191200512367163854254406689914754832823894185495150110905855792747526778480346456494155046743445321054035666968132384438936084484600478018826671957778916325730099121092134033635951
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: -32
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30996754
Relations: 6821634 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.30 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 5972568 x 5972795
Matrix solve time: 18.98 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 30.78 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

173611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<225>

5787037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<226>

12029573160725011136446472627704848484251344764317266997939197552051310342278738459305644193520198719106348901749997026530864158171047199460273492653853755234193895812223694642838080317231771123468103750151<206>

49190407633012404063802389729314637650170455844063419545115462773814433439459410459899972299330980202122720696783292098659541810282941439683575161420872678461899298394209412629551119850135688725067484965609877862257871815557<224>

48917523318589530329947960672866248414539028010540934348319617634193107094042721222445551908424626326184868340820196361834346528289494585523510181230023624268483502067212436856299000516583796806204355984490279641712354083<221>

8493922546233660263703949451468264508273355983935919249605369196714599715634041204960001115803711366975223295882452653316718602411562929146310743206901024489<157>

2176271247214580544194420102220795280564838813666338048999<58>
3902970531410121930953940720210383722640508711753535952358099037204541315959476207770762896528014511<100>

Number: 55552_240
N = 8493922546233660263703949451468264508273355983935919249605369196714599715634041204960001115803711366975223295882452653316718602411562929146310743206901024489 (157 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=2176271247214580544194420102220795280564838813666338048999 (pp58)
r2=3902970531410121930953940720210383722640508711753535952358099037204541315959476207770762896528014511 (pp100)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 67.11 hours.
Factorization parameters were as follows:
n: 8493922546233660263703949451468264508273355983935919249605369196714599715634041204960001115803711366975223295882452653316718602411562929146310743206901024489 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: -32
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 62783384
Relations: 13479678 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 16.04 hours.
Total relation processing time: 0.60 hours.
Pruned matrix : 10783293 x 10783518
Matrix solve time: 50.25 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 67.11 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

27984981698623741154089332735136314623944374917696186880257769217861065044401579400929788735966211282741675872583307068374121629764520807423065062856250883661766902661428801845819829437590599501344706003813677844743490925306832547<230>

1911344255329112581002545218264873491055282918849632599295558925989585665505660698821076524672900239851735954998126547301390851890331019772814568783747907226609214340715186111215347758750026093103765372015552163152625527636321<226>

950243433211511033113353769363234033403307810749205469218492412465696955419343969853748133489030761235827949395766410864856998417064283269793895622616413122814698753544839395661148397636849905868014683763<204>

952831718961461595869340824623782913547<39>
997283585654797823717486070958425069885238916843140934698908298071064736534430321454031474863588135505319745383877980169013394382790506603583404873115639598467164729<165>

950243433211511033113353769363234033403307810749205469218492412465696955419343969853748133489030761235827949395766410864856998417064283269793895622616413122814698753544839395661148397636849905868014683763 (204 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3163452154
Step 1 took 12703ms
********** Factor found in step 1: 952831718961461595869340824623782913547
Found probable prime factor of 39 digits: 952831718961461595869340824623782913547
Probable prime cofactor 997283585654797823717486070958425069885238916843140934698908298071064736534430321454031474863588135505319745383877980169013394382790506603583404873115639598467164729 has 165 digits

747281845898610628695304629874986650917593629681218754360706866690161568510046541666392027436138439445074077177826123272689394858110936384989030144717178543395618785785134268084202914134067710000057236624183714722961394792702822281552556529626413<246>

1244937850642870727789703405950689626769010772455587595116727655594318498205329066542101810590362093683588267483558791020352600134129962570363877358832248391708214186705730099467474707103631231296686160369636764017213198327061997752780812099659409464603<253>

6143754766996149568883118736307798076693784741359425178806845383278274774077567332260021802707055216823749113586829856311690444305445924084833336859850657660223190175404620617705404356007241878971664703273021604985199690151889<226>

1556602211245034784795451444594147629485453327554287850236648294618903457503721330445462550363225777034114047033524132978917696965417387221708005396675473363619267917120842397805832665494163231809571302866731729471<214>

112521916492848973339088601662978338572782335446842759687509894801745402783857810210251523816858494340632703143727296351308899773783009320010129165476282082538176702821428651139988685484212540757483936559617476127266202543678218091292420247661980782666644849<258>

129676672907860779449329888826535490808897805246051309435673934175278019022050073687224547369278557027753035870581735483992013118918115984632005920182348496999373341227345357107841206954117454514537069273047946243166549637212417973139594154090619148569<252>

372840752639425016494879256384480885159190373119309949103242611926538014491871599480406963985351536661734277131548353782787208360888141858080031660842688725185035383051505802975593959654512719522868594098271229704192837001110888254723115246817261112820539187<258>

67203877877079485250204877944608777111<38>

5547905335483413563063060857906235749140285120007973554612901122651515543262229146812037959210873355430765973225659809008853062089622230696858295415444836658604581507153219710085313001267382169300576594879236390986245317<220>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:526504118
Step 1 took 11625ms
********** Factor found in step 2: 67203877877079485250204877944608777111
Found prime factor of 38 digits: 67203877877079485250204877944608777111
Composite cofactor 5547905335483413563063060857906235749140285120007973554612901122651515543262229146812037959210873355430765973225659809008853062089622230696858295415444836658604581507153219710085313001267382169300576594879236390986245317 has 220 digits
 

GMP-ECM

360598625977292387997280920818626019327041804565744185017789025548741792821068790683625236915752052934108785060351780988197400736954475162681314493101268217198665679737670110983608728247569583666711<198>

2771930466569746268870017050408008264892209509827563505930259174461969142361838630050943811072448097569005333975427832603422890147254792957069786710770657873229677602393926282521<178>

6766931559876960615573186482799417044323696627<46>
409628860886565069937984838338007068716265291431062453768963821916473336056370613769568180856702342177675240296891232549904253136323<132>

N=2771930466569746268870017050408008264892209509827563505930259174461969142361838630050943811072448097569005333975427832603422890147254792957069786710770657873229677602393926282521
  ( 178 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=6766931559876960615573186482799417044323696627 (pp46)
 r2=409628860886565069937984838338007068716265291431062453768963821916473336056370613769568180856702342177675240296891232549904253136323 (pp132)

GGNFS, Msieve

93572466460503733820151693610246990794281349743585644859233302335596156414199588065971098653496436637309699692188074432769046942573881702602084795598061247890541898309254762811917071775911621983578178987887611730484287335469621160405145260907193084879<251>

974041150889437513855681498556217741879541675812711129469421517811648366514824791042642650830517525813760012640389413044734112400611614647936771857046381188859706889161761693527941371957032863767468903432023640868417869996978937166621271<237>

680520029234269390266793141041891843939139994065212045849106018258907688699302904680517677357048359353860495941873964228099904564959932232835540009356769310754832925309856285167029394730569<189>

1614549334683613981215025989306122382801533724420631<52>
421492248403560641080021881152643946904562367063321176952431873330838504355611006011633360658868900077851245978731624333959727292666775199<138>

Number: n
N=680520029234269390266793141041891843939139994065212045849106018258907688699302904680517677357048359353860495941873964228099904564959932232835540009356769310754832925309856285167029394730569  ( 189 digits)
SNFS difficulty: 196 digits.
Divisors found:

Wed Mar 10 20:38:00 2021  p52 factor: 1614549334683613981215025989306122382801533724420631
Wed Mar 10 20:38:00 2021  p138 factor: 421492248403560641080021881152643946904562367063321176952431873330838504355611006011633360658868900077851245978731624333959727292666775199
Wed Mar 10 20:38:00 2021  elapsed time 01:18:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 5x10^296-32 = 5(295)2
#
n: 680520029234269390266793141041891843939139994065212045849106018258907688699302904680517677357048359353860495941873964228099904564959932232835540009356769310754832925309856285167029394730569
m: 500000000000000000000000000000000
deg: 6
c6: 4
c3: 2
c0: 1
skew: 0.79
# Murphy_E = 1.704e-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 3027409 hash collisions in 25161702 relations (23603087 unique)
Msieve: matrix is 1790880 x 1791105 (622.4 MB)

Sieving start time : 2021/03/10 14:26:11
Sieving end time  : 2021/03/10 19:18:34

Total sieving time: 4hrs 52min 23secs.

Total relation processing time: 1hrs 3min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 24sec.

Prototype def-par.txt line would be:
snfs,196,6,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

3778814108517642649163183361935575661494481256686396741189723078104388307197018152390584999623444247388039636074691976055202716000932093668903724333478581480024538479296766579845062572011436244067554108643648795578763188807386948315308237<238>

2324558451335157952047614384397922324580911342578376973178220848525071686739807362851479407609013555270597312222002320607477772708231427492827218213502929032974634373073839583590939177831689286708638622215095253499289867642341039650334358769207800581877579066445981368751111423799<280>

105590389602184514712051448684264362324255837074094658387871307089814930719838067175967375272335972171833900248129611886331464106098768515422774606381731309357820608855356087419339970854938863903358586476734463794929037224013062728463321886546151697587831065729<261>

74677612666278198052733451043887116336671361452349195590858605625463285182671179290862016836482166550133537933959957773981497440800860463340241081921982851403344927114915614191291768973291760612328506148780858909044849788943206608802948353325235062721461552775688636247723058891072163<284>

3422691417854389998423163483492575934127602733729196929983553289747618513581107494770804317288384786927512157206920558976054761084165888039745921031<148>

1555463541755377083233195879422258602380561097973642567674993698221342039<73>
2200431785107481509741834337183299829644223626688825452531984909116470482129<76>

3422691417854389998423163483492575934127602733729196929983553289747618513581107494770804317288384786927512157206920558976054761084165888039745921031=1555463541755377083233195879422258602380561097973642567674993698221342039*2200431785107481509741834337183299829644223626688825452531984909116470482129

cado polynomial
n: 3422691417854389998423163483492575934127602733729196929983553289747618513581107494770804317288384786927512157206920558976054761084165888039745921031
skew: 0.37
type: snfs
c0: 1
c3: 20
c6: 400
Y0: 5000000000000000000000000000000000
Y1: -1
# f(x) = 400*x^6+20*x^3+1
# g(x) = -x+500000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 18100000
tasks.lim1 = 18100000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2200431785107481509741834337183299829644223626688825452531984909116470482129 1555463541755377083233195879422258602380561097973642567674993698221342039
Info:Square Root: Total cpu/real time for sqrt: 1168.84/351.761
Info:Filtering - Singleton removal: Total cpu/real time for purge: 645.31/756.453
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48364067
Info:Lattice Sieving: Average J: 1892.87 for 5031130 special-q, max bucket fill -bkmult 1.0,1s:1.193480
Info:Lattice Sieving: Total time: 1.90816e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 250467/64070.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 161992.81, WCT time 41298.12, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (114176 iterations)
Info:Linear Algebra: Lingen CPU time 796.22, WCT time 202.04
Info:Linear Algebra: Mksol: CPU time 86223.42,  WCT time 22024.55, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57344 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 416.12/105.2
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 208.68/257.119
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 256.19999999999993s
Info:Filtering - Merging: Merged matrix has 3641298 rows and total weight 621339060 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1048.65/289.483
Info:Filtering - Merging: Total cpu/real time for replay: 145.86/128.315
Info:Generate Factor Base: Total cpu/real time for makefb: 13.63/4.84888
Info:Quadratic Characters: Total cpu/real time for characters: 130.94/54.8125
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 913.7/918.018
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 754.0999999999998s
Info:Square Root: Total cpu/real time for sqrt: 1168.84/351.761
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.91671e+06/574776
Info:root: Cleaning up computation data in /tmp/cado.p90e4v64
2200431785107481509741834337183299829644223626688825452531984909116470482129 1555463541755377083233195879422258602380561097973642567674993698221342039

cado-nfs-3.0.0

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

24396533216067754840623859677224727373239906897676933848287390205360752920361752341807306648163708221288036397509700900064820793436405316892094460917493393338374226494245469594305528272654392858768482662831575066061987<218>

1602564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564108974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359<208>

15538667451700224045739069485473661249014467088569<50>
4135511009666514598743085227844932952460700047862187<52>
24938622234472565460271934293032205104041208474524209478105529247409036981693901935981124939330833845811053<107>

Number: n
N=1602564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564108974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359  ( 208 digits)
SNFS difficulty: 208 digits.
Divisors found:

Mon Oct  7 07:32:59 2024  prp50 factor: 15538667451700224045739069485473661249014467088569
Mon Oct  7 07:32:59 2024  prp52 factor: 4135511009666514598743085227844932952460700047862187
Mon Oct  7 07:32:59 2024  prp107 factor: 24938622234472565460271934293032205104041208474524209478105529247409036981693901935981124939330833845811053
Mon Oct  7 07:32:59 2024  elapsed time 02:40:38 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.132).
Factorization parameters were as follows:
#
# N = 5x10^314-32 = 5(313)2
#
n: 1602564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564102564108974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974358974359
m: 50000000000000000000000000000000000
deg: 6
c6: 4
c3: 2
c0: 1
skew: 0.79
# Murphy_E = 6.843e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0:       50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 45250000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8403054 hash collisions in 27398498 relations (17072245 unique)
Msieve: matrix is 2213563 x 2213788 (620.1 MB)

Sieving start time: 2024/10/06 04:09:02
Sieving end time  : 2024/10/07 04:41:09

Total sieving time: 24hrs 32min 7secs.

Total relation processing time: 2hrs 26min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 42sec.

Prototype def-par.txt line would be:
snfs,208,6,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2763949568994856896598496448239406510550718730394931801860420940472651552793623601048822743027450016863195124716244613753983142309324690855318142067796027568940001935389174721893028246058481725638579473238313528233032337515959770343742578480734622818798302376593190635855961476468547768196884623443<298>

30889836424588194261041600844008466894476926921296093782528696696094720907561162976787336105563400279105458038160756699306026325311820478520788222644066480913398114375375645987707552001239114008708641796447428058258451333561200885585376172664855202440678786957946353889353469063290398570108305505589095206169<308>

12441988591922089968198408492530266276759<41>
2482708949326902115056830428753222275939843008139467019719575539650660502102666953745406861606813033162945194679846800433404347044466351079362267645286503042342721417475079469459472177129907348554194153163398376448795962672768341065897852307026569139251307295027382991<268>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2755518759
Step 1 took 19344ms
Step 2 took 7328ms
********** Factor found in step 2: 12441988591922089968198408492530266276759
Found prime factor of 41 digits: 12441988591922089968198408492530266276759
Prime cofactor 2482708949326902115056830428753222275939843008139467019719575539650660502102666953745406861606813033162945194679846800433404347044466351079362267645286503042342721417475079469459472177129907348554194153163398376448795962672768341065897852307026569139251307295027382991 has 268 digits
 

GMP-ECM

104933330701136110631011538529977741862231643292653902913468017090327289887684584186040025239715977702138141386107827187439491758898223961843526568128321855252883240737269150385269678622677702178071553951<204>

1368280412106926010646838553253114022729758952412694922507335314143644606731021408678252439273667103653751670923893625203710128362845824451589728204005596668805492907145828689256412581825697746146925075086628287518455944674177522692184122336965381454830342957693939759603992669056810546948106928243708401<304>

49894094668326587456911360537576047255829566957196842872880287310181799082239492463764890698073370709700425777355063753760323783827729911696842512388996177126352356106621540091982721113120300059043885129493628749455030878536014421235266244522856292075275733041<260>

307951781518816681645932744942293468701923699566055582252885954595319014231926952006310278214218186247881107047452966645499108178060500405013418030531884528911291431<165>

465134348455183925942495625909240304441984974754187076330661871579492552351250822956581310577738291319191061686172146891538811765617830320511917364346543444957295677132129666082185341924217969037136735838546833835614118197924366057426464809545239387<249>

16567376334914344717965649889158940547448437670465945576901103596136045422016731491540883829749646914154221665953419283348440260574460783329094380026489078638762018446383471311667501138266524171320509934714948402296295953525451732321024356891005946106826713190718331130255712798362587459955597863080625280621760271<314>

63174978233486271362492879677903201038215706059788218602354384163337521555486963904707078560978530140490299824396789786928086692420224085527089445561348105688902665455563600891510999423031<188>

589734016005203047529655858218262233601986447302385691720746568631306869530216293870922527918784879438587921426895378886635946427245511048746427539000438087640908446236740665241702460039648551996932924162172328263626080057889936604868992064094845794411393089307632650184732076342660748074191111774768521916172762729828343019375803<330>

1567035337162529556806193554224152288723027318752605138013004439091943612414009278571823379388285860106785487813151702015517704880110977657223675367251767331593370684601901580068406313757206492845476287044038675828235183514161786980256226292300992089722157<256>

6967640921953083911695976163976663511<37>

224901850528094862102784467022684042260724978152278995722898747674212558923478002922997229729513076827264774219291307745995109721946666320839158591413996819663841307088233437195715234845100428731124312554668145108549787<219>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:871238763
Step 1 took 15063ms
Step 2 took 5828ms
********** Factor found in step 2: 6967640921953083911695976163976663511
Found prime factor of 37 digits: 6967640921953083911695976163976663511
Composite cofactor 224901850528094862102784467022684042260724978152278995722898747674212558923478002922997229729513076827264774219291307745995109721946666320839158591413996819663841307088233437195715234845100428731124312554668145108549787 has 219 digits

GMP-ECM

93920594085022673071115386123185804458660099988838443711820899081118273952888021797629222302612912185603467429945012829887811536959727231609965437472897547312751844060769579853874632744692737721684025727512712679192749171487242074092272697459236461947696032284478214556772982881693318338574705588644110589362995170505621629344549613<332>

6552676550640313911478004740857977419169499850273530786836495459784702408396210716998514099117734957664765632830308535301624977594630321203478526678190506951691282384958096532604207794865914703492011553610326803879960022023315149625842464596511178442626522842362022618417801785332713066057124643184138053<304>

208333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333341666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<237>

5909745786938728517887839336392236213<37>

35252503380733541942391308458539422767392383027506081971985058969371500072699477510753308067656298486812641207678912357449373005380292404726192510168605167407930866319086416031720245420960078301537759<200>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4240433746
Step 1 took 10109ms
********** Factor found in step 2: 5909745786938728517887839336392236213
Found prime factor of 37 digits: 5909745786938728517887839336392236213
Composite cofactor 35252503380733541942391308458539422767392383027506081971985058969371500072699477510753308067656298486812641207678912357449373005380292404726192510168605167407930866319086416031720245420960078301537759 has 200 digits
 

GMP-ECM

2139012379485055484085047220367103625817265361850856557946160480171138596773380783867078711154415568433572679423686518647169855196842480266849109499479475194226722394848904181759109504583427039388046149510141775055290137534043237525956525193931777769748169539537036906325589091794429010643<289>

16825678094518615935326173310073938983477669741305489835011443997316876042028998153081045353652107997335499757045405410519151795534118414878647655666951186577102333373435775345079477345045306560664984886437307529804357191061609289867445569477001739621313936388219689425962765194834820847462895347386205735107<308>

138007482351957730983805979281939272988364284862130541579653640046048765629138588332722150256881811144672997472274484027<120>

60902410477353195344806346843221120241451143852208289<53>
2266043023096374234122211733896798819280878921249366708283859108443<67>

138007482351957730983805979281939272988364284862130541579653640046048765629138588332722150256881811144672997472274484027=60902410477353195344806346843221120241451143852208289*2266043023096374234122211733896798819280878921249366708283859108443

cado polynomial
n: 138007482351957730983805979281939272988364284862130541579653640046048765629138588332722150256881811144672997472274484027
skew: 32033.727
c0: -77244696489367707094676526
c1: 125297929553750992322371
c2: -3218519777053011048
c3: -58117071483649
c4: 4027229172
c5: 28800
Y0: -141003438727801078789081
Y1: 32046149518631819
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.524e-06
# f(x) = 28800*x^5+4027229172*x^4-58117071483649*x^3-3218519777053011048*x^2+125297929553750992322371*x-77244696489367707094676526
# g(x) = 32046149518631819*x-141003438727801078789081

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: 2266043023096374234122211733896798819280878921249366708283859108443 60902410477353195344806346843221120241451143852208289
Info:Square Root: Total cpu/real time for sqrt: 318.64/85.1968
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): 20129/35.550/42.565/47.490/1.025
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16011/34.110/37.683/43.070/0.845
Info:Polynomial Selection (size optimized): Total time: 2132.06
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1447.4
Info:Polynomial Selection (root optimized): Rootsieve time: 1442.91
Info:Generate Factor Base: Total cpu/real time for makefb: 4.77/1.2648
Info:Generate Free Relations: Total cpu/real time for freerel: 105.56/26.6695
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13429875
Info:Lattice Sieving: Average J: 1900.67 for 238282 special-q, max bucket fill -bkmult 1.0,1s:1.129540
Info:Lattice Sieving: Total time: 34109.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 30.42/154.307
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 113.41/44.7506
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 29.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.01/22.7385
Info:Filtering - Merging: Total cpu/real time for merge: 31.43/10.158
Info:Filtering - Merging: Total cpu/real time for replay: 15.1/12.1145
Info:Linear Algebra: Total cpu/real time for bwc: 4019.42/1055.48
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 639.84, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Linear Algebra: Lingen CPU time 104.5, WCT time 30.84
Info:Linear Algebra: Mksol: WCT time 366.35, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10240 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 20.11/7.66668
Info:Square Root: Total cpu/real time for sqrt: 318.64/85.1968
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 94295.6/1266.01
2266043023096374234122211733896798819280878921249366708283859108443 60902410477353195344806346843221120241451143852208289

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1833800207021903254940938000394866948721438239779508533463434472180792308533291935775964313491635508641396727072988341743940384417846588715798535614963<151>

49525943381770439601827955761173410456181573<44>
37027062622231449090978946439185974680521197050267720584394112273159021522199313774908650713488148146409431<107>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 1833800207021903254940938000394866948721438239779508533463434472180792308533291935775964313491635508641396727072988341743940384417846588715798535614963 (151 digits)
Using B1=23120000, B2=96188942866, polynomial Dickson(12), sigma=1:351657006
Step 1 took 38497ms
Step 2 took 13855ms
********** Factor found in step 2: 49525943381770439601827955761173410456181573
Found prime factor of 44 digits: 49525943381770439601827955761173410456181573
Prime cofactor 37027062622231449090978946439185974680521197050267720584394112273159021522199313774908650713488148146409431 has 107 digits

37913459288066506678410970564866556278553283890228272130160330745895962125136728932842779066212220258204053338511045016567597016042549895724219555018481168413652517654275712183499649612056274788559888153225547309070348212077491472725239145104144557569918829731777928266554106368501935850375475073463950028068551574649883<320>

13164365340262519713185096127444957930019785996426510614637344531903891581914139388194408063310517823860539925861376417894172488445727011321867147172468361705152901960835001310612022412075865662281553803678537311158318011875565685394126169694361168659659422819530621196844588209<278>

10874319468741040003288335879845876611042488862590568916395671860231266738929917866679134862601817828502794211798617648065777009429169357629090721857029848011691741805952198938664262556435377147<194>

69815944897298756558423333775730757636070866155562260304838336730189112462806429461575023820218882421030764974313108452934412366464292258075490595238160465534984568316113567851949758273069592680717847535619410852032494485858231006125933049649716624955481032801278783609581062631183939775606794380153744552508224298176909702951953221117351653757<344>

110504053937772632114109855916172652082383452488524074454605972614376352974790461712150206240317983577586293604107118293220850916736433138708512613001995895464949623542006012400959385625233021613042129210062742493219080767639670840066531111<240>

73279203802808453038723263818687411645798390877792002150586348532214030427964150828627166995027847738899232395064062907652210755023424254417516623358070985576448453156907963711856884706651270764571059652929993339916971496429813741381955269248430195309127324644975740948892761782744911879002129059849623101019263308804849249552949958112434639053843307817162829017176504675307<374>

26757751143491919808740787941851575396338064026049<50>

2738615940100466372337790197315297888562851337633714678484561843177957461290378425218058713258500600722411853264156288537720209418413340738154794391906443525504835924108539581762542622619529286052916463515111500304448991654906252583209264133712155052877218932229379187346652565549238695046335728654172361297941184573427484843<325>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 73279203802808453038723263818687411645798390877792002150586348532214030427964150828627166995027847738899232395064062907652210755023424254417516623358070985576448453156907963711856884706651270764571059652929993339916971496429813741381955269248430195309127324644975740948892761782744911879002129059849623101019263308804849249552949958112434639053843307817162829017176504675307 (374 digits)
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:2841766322
Step 1 took 1681616ms
Step 2 took 407664ms
Run 2 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:2018071787
Step 1 took 1685300ms
Step 2 took 403332ms
Run 3 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:1423907458
Step 1 took 1676832ms
Step 2 took 402986ms
Run 4 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:827889141
Step 1 took 1676792ms
Step 2 took 402397ms
Run 5 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:2686591698
Step 1 took 1725085ms
Step 2 took 406152ms
Run 6 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:2507041446
Step 1 took 1679410ms
Step 2 took 404773ms
Run 7 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:2336746310
Step 1 took 1676300ms
Step 2 took 402639ms
Run 8 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:372580522
Step 1 took 1691050ms
Step 2 took 402537ms
Run 9 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:2207428555
Step 1 took 1676311ms
Step 2 took 402405ms
Run 10 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:1300534681
Step 1 took 1676725ms
Step 2 took 403547ms
Run 11 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:3520248609
Step 1 took 1676866ms
Step 2 took 403432ms
Run 12 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:2636783018
Step 1 took 1676366ms
Step 2 took 402345ms
Run 13 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:75261545
Step 1 took 1681445ms
Step 2 took 403276ms
Run 14 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:1935650423
Step 1 took 1694045ms
Step 2 took 408452ms
Run 15 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:2402010235
Step 1 took 1679604ms
Step 2 took 402276ms
Run 16 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:242591442
Step 1 took 1676256ms
Step 2 took 403278ms
Run 17 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:1550567320
Step 1 took 1676163ms
Step 2 took 402550ms
Run 18 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:742183596
Step 1 took 1676608ms
Step 2 took 402727ms
Run 19 out of 1000:
Using B1=200000000, B2=2383901369866, polynomial Dickson(30), sigma=1:1963789446
Step 1 took 1677357ms
Step 2 took 404414ms
********** Factor found in step 2: 26757751143491919808740787941851575396338064026049
Found prime factor of 50 digits: 26757751143491919808740787941851575396338064026049
Composite cofactor 2738615940100466372337790197315297888562851337633714678484561843177957461290378425218058713258500600722411853264156288537720209418413340738154794391906443525504835924108539581762542622619529286052916463515111500304448991654906252583209264133712155052877218932229379187346652565549238695046335728654172361297941184573427484843 has 325 digits

2x Xeon E5-2698 v4 2.2GHz, 384GB DDR4, Ubuntu Server 22.04

2738615940100466372337790197315297888562851337633714678484561843177957461290378425218058713258500600722411853264156288537720209418413340738154794391906443525504835924108539581762542622619529286052916463515111500304448991654906252583209264133712155052877218932229379187346652565549238695046335728654172361297941184573427484843<325>

2042689589614137022952101930934332731065896801605810041547569<61>
1340691191664510057475424913989640935527375788280018980335966180122986918844736014448261170534993298694751318936036434623952616937241048338115350556621416355134909119294507084586618729135613432359430195974649754871441424677868880729865576678732449460932450472673947<265>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 2738615940100466372337790197315297888562851337633714678484561843177957461290378425218058713258500600722411853264156288537720209418413340738154794391906443525504835924108539581762542622619529286052916463515111500304448991654906252583209264133712155052877218932229379187346652565549238695046335728654172361297941184573427484843 (325 digits)
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:4288597822
Step 1 took 6233793ms
Step 2 took 1115329ms
Run 2 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:898472895
Step 1 took 6236084ms
Step 2 took 1110795ms
Run 3 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:1650933369
Step 1 took 6215076ms
Step 2 took 1117497ms
Run 4 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:47884510
Step 1 took 6213686ms
Step 2 took 1110316ms
Run 5 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:467093004
Step 1 took 6213573ms
Step 2 took 1112052ms
Run 6 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:892899154
Step 1 took 6254061ms
Step 2 took 1120097ms
Run 7 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:2977732541
Step 1 took 6299473ms
Step 2 took 1122450ms
Run 8 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:2542388665
Step 1 took 6317877ms
Step 2 took 1119369ms
Run 9 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:1836346500
Step 1 took 6290895ms
Step 2 took 1116952ms
Run 10 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:1272534883
Step 1 took 6385042ms
Step 2 took 1144016ms
Run 11 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:1575857281
Step 1 took 6388157ms
Step 2 took 1110642ms
Run 12 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:52543773
Step 1 took 6279134ms
Step 2 took 1110707ms
Run 13 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:4254393848
Step 1 took 6264907ms
Step 2 took 1110741ms
Run 14 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:1577853886
Step 1 took 6327935ms
Step 2 took 1111184ms
Run 15 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:1357975005
Step 1 took 6762718ms
Step 2 took 1138711ms
Run 16 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:3888323861
Step 1 took 6283048ms
Step 2 took 1117006ms
Run 17 out of 1000:
Using B1=1000000000, B2=19071176724616, polynomial Dickson(30), sigma=1:1419200753
Step 1 took 6248899ms
Step 2 took 1114542ms
********** Factor found in step 2: 2042689589614137022952101930934332731065896801605810041547569
Found prime factor of 61 digits: 2042689589614137022952101930934332731065896801605810041547569
Prime cofactor 1340691191664510057475424913989640935527375788280018980335966180122986918844736014448261170534993298694751318936036434623952616937241048338115350556621416355134909119294507084586618729135613432359430195974649754871441424677868880729865576678732449460932450472673947 has 265 digits

2x E5-2698 v4, 384GB DDR4, Ubuntu Server 22.04

33834559406121125183407394367861879843286590127074529983584862593119094823938283140146521151354911311425119993822848811324789681938879219507951654544218435908803918608625403710402851831285244376747991552940262622325052511831794648814805433963058822945046143492770719834721247246435035606284086338646818288076422471<314>

1014186719233639492498153966243025516229270794931733969567259176060718782313533991361734112691723738088012956720477012226893591507532702237838472593570348144554598398418105443174399154577920165460871178020836789445728131579488089<229>

2529552729179729599763430900056349856148290889816182775209794910295529622927775519941964878880015478574750568024330435502277275814945252174237943291580400037983498488126123320663549285311707293621930832302232182777264897118934321609950511917076326182181528103204835622441183991325602801776298241810055254012515519902961919082934209627481939549414463919278587378415026643<370>

20304386905486742247115519640960609711132068104145521851942088882379937914681575638062404144804089925047955191472139129415355410191822249904956840669625234341835255139254318922816765681324946748583061320141985386830437<218>

1955141422344632539594597160933913448953947967030730028028191087352670251238423657608598222733820978747965226987285612917187576903464511509204397696525097975443535095056848150677888893806901473681859185804905623672397872392914929676538614172966231278009452864153665183698436818909772177467908213681147345420834303321359707441146148718565566192892360451610948197015046632568279<376>

235221864683917308892119273939000481<36>

8311903423484382890673652629047912537626933044225755409313644440962622108932091902224485850663731270269042808756713735440912393427856799780233756422657908180100791927277177007922459045957634024343843336829989209332943320767924691390099576069120456474113310135043052304255052538187342097891294068089316644160080992314878156105334500428547959<340>

Y:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:480964078 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 1955141422344632539594597160933913448953947967030730028028191087352670251238423657608598222733820978747965226987285612917187576903464511509204397696525097975443535095056848150677888893806901473681859185804905623672397872392914929676538614172966231278009452864153665183698436818909772177467908213681147345420834303321359707441146148718565566192892360451610948197015046632568279 (376 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:480964078
Step 1 took 37797ms
********** Factor found in step 1: 235221864683917308892119273939000481
Found probable prime factor of 36 digits: 235221864683917308892119273939000481
Composite cofactor 8311903423484382890673652629047912537626933044225755409313644440962622108932091902224485850663731270269042808756713735440912393427856799780233756422657908180100791927277177007922459045957634024343843336829989209332943320767924691390099576069120456474113310135043052304255052538187342097891294068089316644160080992314878156105334500428547959 has 340 digits

8717494118710664322044856220802828770079462909256450938280171141156042475644241218541169921827481366785851105271945215383080662949390716440676010028022571088635802778787981745069972228919793047464297018491623045786666502206864644303814442249911991091711873203657650912740888755881315611846664260470172320223387769775781711634559710758327754470174234477<352>

8464610671708169955826727847443810959773877<43>

1029875378420855609461913818723752319973325744195322279957644540733933842646248369731595666474031074482284165801806172971863277223132561378136697456125843617233543101190791213786539655806724905862419762661383621082568437257196840164855414807509499644713762313978731482678844128708135052946973193367467972867801<310>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1495881288
Step 1 took 40481ms
Step 2 took 13495ms
********** Factor found in step 2: 8464610671708169955826727847443810959773877
Found prime factor of 43 digits: 8464610671708169955826727847443810959773877
Composite cofactor 1029875378420855609461913818723752319973325744195322279957644540733933842646248369731595666474031074482284165801806172971863277223132561378136697456125843617233543101190791213786539655806724905862419762661383621082568437257196840164855414807509499644713762313978731482678844128708135052946973193367467972867801 has 310 digits