3748770894788593903638151425762045231071779744346116027531956735496558505408062930186823992133726647<100>

414474650970770459496312674842160275483378067<45>
9044632490812964953481160814637353187110438312426337741<55>

Sat May  7 22:58:55 2022  Msieve v. 1.53 (SVN unknown)
Sat May  7 22:58:55 2022  random seeds: e8aef0a8 2695b972
Sat May  7 22:58:55 2022  factoring 3748770894788593903638151425762045231071779744346116027531956735496558505408062930186823992133726647 (100 digits)
Sat May  7 22:58:55 2022  searching for 15-digit factors
Sat May  7 22:58:55 2022  commencing number field sieve (100-digit input)
Sat May  7 22:58:55 2022  R0: -10000000000000000000000000
Sat May  7 22:58:55 2022  R1: 1
Sat May  7 22:58:55 2022  A0: -4
Sat May  7 22:58:55 2022  A1: 0
Sat May  7 22:58:55 2022  A2: 0
Sat May  7 22:58:55 2022  A3: 0
Sat May  7 22:58:55 2022  A4: 1525
Sat May  7 22:58:55 2022  skew 0.23, size 5.728e-11, alpha 0.286, combined = 2.331e-07 rroots = 2
Sat May  7 22:58:55 2022  
Sat May  7 22:58:55 2022  commencing square root phase
Sat May  7 22:58:55 2022  reading relations for dependency 1
Sat May  7 22:58:55 2022  read 16285 cycles
Sat May  7 22:58:55 2022  cycles contain 44736 unique relations
Sat May  7 22:58:56 2022  read 44736 relations
Sat May  7 22:58:56 2022  multiplying 44736 relations
Sat May  7 22:58:56 2022  multiply complete, coefficients have about 1.23 million bits
Sat May  7 22:58:56 2022  initial square root is modulo 473761
Sat May  7 22:58:56 2022  sqrtTime: 1
Sat May  7 22:58:56 2022  p45 factor: 414474650970770459496312674842160275483378067
Sat May  7 22:58:56 2022  p55 factor: 9044632490812964953481160814637353187110438312426337741
Sat May  7 22:58:56 2022  elapsed time 00:00:01
Sat May 07 22:58:56 2022 -> Computing time scale for this machine...
Sat May 07 22:58:56 2022 -> procrels -speedtest> PIPE

423611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<108>

23786849797726722486260317424394294492172511486091323<53>
17808625972473036765252309825225321118354346990593705957<56>

N=423611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 108 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=23786849797726722486260317424394294492172511486091323 (pp53)
 r2=17808625972473036765252309825225321118354346990593705957 (pp56)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.30 hours.
Scaled time: 2.38 units (timescale=7.880).
Factorization parameters were as follows:
n: 423611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000
deg: 4
c4: 61
c0: -16
skew: 0.72
# Murphy_E = 1.505e-07
type: snfs
lss: 1
rlim: 470000
alim: 470000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 470000/470000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [235000, 395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 43304 x 43529
Total sieving time: 0.30 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,109.000,4,0,0,0,0,0,0,0,0,470000,470000,25,25,44,44,2.2,2.2,20000
total time: 0.30 hours.

GNFS, Msieve

12215761220440857796645369966676474908898664803691443978025135280609357152750401599<83>

100924926071134000768746362726189832355477<42>
121038099268271284640313353722918515616387<42>

100924926071134000768746362726189832355477

976429191403939984628123260835546786260994592695208364226912667917008256813298799113748046181195036640745512971717744478020803<126>

1620474162932518195284966059519312612722830196419656267<55>
602557704244372865052265080915562076303063711665306268398307039819183209<72>

N=976429191403939984628123260835546786260994592695208364226912667917008256813298799113748046181195036640745512971717744478020803
  ( 126 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=1620474162932518195284966059519312612722830196419656267 (pp55)
 r2=602557704244372865052265080915562076303063711665306268398307039819183209 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.43 hours.
Scaled time: 19.14 units (timescale=7.886).
Factorization parameters were as follows:
n: 976429191403939984628123260835546786260994592695208364226912667917008256813298799113748046181195036640745512971717744478020803
m: 1000000000000000000000000000000000
deg: 4
c4: 61
c0: -16
skew: 0.72
# Murphy_E = 1.088e-08
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1195001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 148465 x 148697
Total sieving time: 2.40 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,133.000,4,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,100000
total time: 2.43 hours.

GNFS, Msieve

20022335212285001723518554525358958901603013111884621269153916938562448136536581772581653507062695947<101>

134525045373945547397393942531312588956069<42>
148837230692827361767297857824576263511669733109378961044463<60>

134525045373945547397393942531312588956069

16817122585629848145788267766826149155470303604938133370155701529807640536882815783053314362101450421<101>

10001760864495015379339583834384727889859<41>
1681416183957017398617447021236367622714718367646418571130919<61>

starting SIQS on c101: 16817122585629848145788267766826149155470303604938133370155701529807640536882815783053314362101450421

==== sieve params ====
n = 102 digits, 337 bits
factor base: 122432 primes (max prime = 3432697)
single large prime cutoff: 514904550 (150 * pmax)
double large prime range from 44 to 53 bits
double large prime cutoff: 4798528882134253
allocating 9 large prime slices of factor base
buckets hold 2048 elements
using SSE4.1 enabled 32k sieve core
sieve interval: 22 blocks of size 32768
polynomial A has ~ 13 factors
using multiplier of 13
using SPV correction of 20 bits, starting at offset 36
using SSE2 for x128 sieve scanning
using SSE2 for resieving 13-16 bit primes
using SSE2 for 8x trial divison to 13 bits
using SSE4.1 and inline ASM for small prime sieving
using SSE2 for poly updating up to 15 bits
using SSE4.1 for medium prime poly updating
using SSE4.1 and inline ASM for large prime poly updating
trial factoring cutoff at 107 bits

==== sieving in progress (64 threads):  122496 relations needed ====
====            Press ctrl-c to abort and save state            ====
133866 rels found: 31855 full + 102011 from 1853044 partial, (1309.89 rels/sec)

sieving required 3457343 total polynomials
trial division touched 134357128 sieve locations out of 4984769478656
squfof: 2 failures, 1495474 attempts, 36607624 outside range, 7346681 prp, 1390222 useful
QS elapsed time = 1439.8027 seconds.

==== post processing stage (msieve-1.38) ====
begin with 1891601 relations
reduce to 348822 relations in 11 passes
attempting to read 348822 relations
recovered 348822 relations
recovered 331607 polynomials
freed 57 duplicate relations
attempting to build 135053 cycles
found 135053 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 31977
   length 2 : 23654
   length 3 : 22898
   length 4 : 18831
   length 5 : 14021
   length 6 : 9595
   length 7 : 6033
   length 9+: 8044
largest cycle: 20 relations
matrix is 122432 x 135053 (42.2 MB) with weight 9978632 (73.89/col)
sparse part has weight 9978632 (73.89/col)
filtering completed in 4 passes
matrix is 114396 x 114460 (32.4 MB) with weight 7568001 (66.12/col)
sparse part has weight 7568001 (66.12/col)
saving the first 48 matrix rows for later
matrix is 114348 x 114460 (27.8 MB) with weight 6706866 (58.60/col)
sparse part has weight 6146997 (53.70/col)
matrix includes 64 packed rows
using block size 45784 for processor cache size 12288 kB
commencing Lanczos iteration
memory use: 21.9 MB
lanczos halted after 1809 iterations (dim = 114348)
recovered 18 nontrivial dependencies
Lanczos elapsed time = 31.7660 seconds.
Sqrt elapsed time = 0.2240 seconds.
SIQS elapsed time = 1471.7938 seconds.


***factors found***

P61 = 1681416183957017398617447021236367622714718367646418571130919
P41 = 10001760864495015379339583834384727889859

366576277687837624098824354979441255981310529606597974755338999134847637834232950254210915426021645706542435826471263716753<123>

536923810104560287923709758491256584435816567173655765681<57>
682734255380573891444396851229246978509056671359933718060897650913<66>

536923810104560287923709758491256584435816567173655765681

735726295807724137659575837546092927174330746339513347328752215423529366834338273402841401830758939777165789325142316087<120>

13048096147445565673665026378393631610957238306998573<53>
56385719992702364959507671694531239852483836019848202148691977218419<68>

13048096147445565673665026378393631610957238306998573

160305128460646089585023107064484078179286937560258960583649423511222620409649506764771302922241606003001332477251388294971527706823048787<138>

230419542694231331387246967599181709667<39>
695709776116396262312741763133546029978589130028571110539976059788204315931067940582839191244577361<99>

230419542694231331387246967599181709667

80310187750551194890245055914794462964377930965484125481126120156354605377425291656473882095931048757551886360233240311947<122>

229320581994440203917009559715304795507431669<45>
350209244421411275136246863454041065232783901528347879874544107971130398907263<78>

Wed May 11 14:21:49 2022  Msieve v. 1.53 (SVN unknown)
Wed May 11 14:21:49 2022  random seeds: 99aaaf18 da8d42d6
Wed May 11 14:21:49 2022  factoring 80310187750551194890245055914794462964377930965484125481126120156354605377425291656473882095931048757551886360233240311947 (122 digits)
Wed May 11 14:21:49 2022  searching for 15-digit factors
Wed May 11 14:21:50 2022  commencing number field sieve (122-digit input)
Wed May 11 14:21:50 2022  R0: -50000000000000000000000000000
Wed May 11 14:21:50 2022  R1: 1
Wed May 11 14:21:50 2022  A0: -5
Wed May 11 14:21:50 2022  A1: 0
Wed May 11 14:21:50 2022  A2: 0
Wed May 11 14:21:50 2022  A3: 0
Wed May 11 14:21:50 2022  A4: 0
Wed May 11 14:21:50 2022  A5: 61
Wed May 11 14:21:50 2022  skew 0.61, size 4.471e-10, alpha -0.241, combined = 2.895e-09 rroots = 1
Wed May 11 14:21:50 2022  
Wed May 11 14:21:50 2022  commencing square root phase
Wed May 11 14:21:50 2022  reading relations for dependency 1
Wed May 11 14:21:50 2022  read 101741 cycles
Wed May 11 14:21:50 2022  cycles contain 302988 unique relations
Wed May 11 14:21:52 2022  read 302988 relations
Wed May 11 14:21:53 2022  multiplying 302988 relations
Wed May 11 14:21:56 2022  multiply complete, coefficients have about 7.73 million bits
Wed May 11 14:21:56 2022  initial square root is modulo 772256981
Wed May 11 14:22:00 2022  GCD is 1, no factor found
Wed May 11 14:22:00 2022  reading relations for dependency 2
Wed May 11 14:22:00 2022  read 101587 cycles
Wed May 11 14:22:01 2022  cycles contain 302300 unique relations
Wed May 11 14:22:03 2022  read 302300 relations
Wed May 11 14:22:04 2022  multiplying 302300 relations
Wed May 11 14:22:07 2022  multiply complete, coefficients have about 7.71 million bits
Wed May 11 14:22:07 2022  initial square root is modulo 738590681
Wed May 11 14:22:11 2022  sqrtTime: 21
Wed May 11 14:22:11 2022  p45 factor: 229320581994440203917009559715304795507431669
Wed May 11 14:22:11 2022  p78 factor: 350209244421411275136246863454041065232783901528347879874544107971130398907263
Wed May 11 14:22:11 2022  elapsed time 00:00:22
Wed May 11 14:22:11 2022 -> Computing time scale for this machine...
Wed May 11 14:22:11 2022 -> procrels -speedtest> PIPE

128367003367003367003367003367003367003367003367003367003367003367003367003367003367003367003367003367003367003367003367003367003367003367003367<144>

19918501109712204992549464994916639296052945871<47>
6444611603049386985107455509591214265719408226524047831734811612297870951542855802869878978710377<97>

19918501109712204992549464994916639296052945871

3258547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547<145>

35397209628756102799128652779879630613485211656382151<53>
92056606798175958439990522970076657036765749696378538949393035098894368619502858044495404997<92>

Number: n
N=3258547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547  ( 145 digits)
SNFS difficulty: 147 digits.
Divisors found:

Sun May  8 23:33:49 2022  p53 factor: 35397209628756102799128652779879630613485211656382151
Sun May  8 23:33:49 2022  p92 factor: 92056606798175958439990522970076657036765749696378538949393035098894368619502858044495404997
Sun May  8 23:33:49 2022  elapsed time 00:03:54 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 61x10^146-16 = 67(145)6
#
n: 3258547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547008547
m: 100000000000000000000000000000
deg: 5
c5: 305
c0: -8
skew: 0.48
# Murphy_E = 2.046e-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  special-q in [100000, 100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 766280 hash collisions in 7951285 relations (7722409 unique)
Msieve: matrix is 281348 x 281573 (94.6 MB)

Sieving start time : 2022/05/08 23:34:30
Sieving end time  : 2022/05/08 23:28:18

Total sieving time: 0hrs -7min 48secs.

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

Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

308524597688444996138534745554631815533461385126165020707037951665508655893475951898759682890693860436398840767871644916037471471<129>

45510792462900868881686156243658705435097<41>
6779152394235843282301039199707072014256803291181669962903112969062644214221904996775943<88>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:689899219 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 308524597688444996138534745554631815533461385126165020707037951665508655893475951898759682890693860436398840767871644916037471471 (129 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:689899219
Step 1 took 8595ms
Step 2 took 6521ms
********** Factor found in step 2: 45510792462900868881686156243658705435097
Found probable prime factor of 41 digits: 45510792462900868881686156243658705435097
Probable prime cofactor 6779152394235843282301039199707072014256803291181669962903112969062644214221904996775943 has 88 digits

534298197743878060247640926460838040804783247667713310068943117651620277762629185409924721320593353<99>

1576207491932233730309275827872200044207346853<46>
338977070264331208882583558038123852286230626766940501<54>

prp54 = 338977070264331208882583558038123852286230626766940501
prp46 = 1576207491932233730309275827872200044207346853

Yafu

4131683231931397866075494702264034732226525942901911629826098498590287939014415367130015173635134552236096470444531298994647386741399711<136>

26922142308606068914844145557420218916408724179461<50>
153467847564665869614736564082692526855237390900941655132763243695150583418233382055251<87>

26922142308606068914844145557420218916408724179461

3251486970072687757394638725513091913139971589653225702152800721174324111630137840496953852477262890384517917603017583332792722665744697<136>

8417861359968969088310220002158104163572613557791207<52>
386260456311990599415587218789463197908201732146771571589285168129958144191333167071<84>

8417861359968969088310220002158104163572613557791207

6488896097232595247608103350168478214285590986065800330424780992529344351927811955041165493256645860451442046540319715787625187037661959644556817<145>

375545829246087530225283445200585773<36>
17278573191077975852579445739420081962719168481113865708668937383818408132557139109274508015501298634237987829<110>

375545829246087530225283445200585773

136761835203511230300963827042103287186792695452731829285733417381947847101539700479597499210301593744761592719985290173156146224911487221577<141>

730030564140228649879796384140422569528573571016886855716612013<63>
187337136171248299438764471167499867202970362227402801644496096064824171436429<78>

Wed May 18 15:38:02 2022  Msieve v. 1.53 (SVN unknown)
Wed May 18 15:38:02 2022  random seeds: a3249580 6719ba59
Wed May 18 15:38:02 2022  factoring 136761835203511230300963827042103287186792695452731829285733417381947847101539700479597499210301593744761592719985290173156146224911487221577 (141 digits)
Wed May 18 15:38:02 2022  searching for 15-digit factors
Wed May 18 15:38:02 2022  commencing number field sieve (141-digit input)
Wed May 18 15:38:02 2022  R0: -500000000000000000000000000000000
Wed May 18 15:38:02 2022  R1: 1
Wed May 18 15:38:02 2022  A0: -5
Wed May 18 15:38:02 2022  A1: 0
Wed May 18 15:38:02 2022  A2: 0
Wed May 18 15:38:02 2022  A3: 0
Wed May 18 15:38:02 2022  A4: 0
Wed May 18 15:38:02 2022  A5: 61
Wed May 18 15:38:02 2022  skew 0.61, size 2.075e-11, alpha -0.241, combined = 4.948e-10 rroots = 1
Wed May 18 15:38:02 2022  
Wed May 18 15:38:02 2022  commencing square root phase
Wed May 18 15:38:02 2022  reading relations for dependency 1
Wed May 18 15:38:02 2022  read 285719 cycles
Wed May 18 15:38:03 2022  cycles contain 953668 unique relations
Wed May 18 15:38:10 2022  read 953668 relations
Wed May 18 15:38:13 2022  multiplying 953668 relations
Wed May 18 15:38:27 2022  multiply complete, coefficients have about 25.82 million bits
Wed May 18 15:38:27 2022  initial square root is modulo 26081431
Wed May 18 15:38:43 2022  GCD is 1, no factor found
Wed May 18 15:38:43 2022  reading relations for dependency 2
Wed May 18 15:38:43 2022  read 286541 cycles
Wed May 18 15:38:43 2022  cycles contain 958022 unique relations
Wed May 18 15:38:51 2022  read 958022 relations
Wed May 18 15:38:53 2022  multiplying 958022 relations
Wed May 18 15:39:08 2022  multiply complete, coefficients have about 25.94 million bits
Wed May 18 15:39:08 2022  initial square root is modulo 28208021
Wed May 18 15:39:24 2022  sqrtTime: 82
Wed May 18 15:39:24 2022  p63 factor: 730030564140228649879796384140422569528573571016886855716612013
Wed May 18 15:39:24 2022  p78 factor: 187337136171248299438764471167499867202970362227402801644496096064824171436429
Wed May 18 15:39:24 2022  elapsed time 00:01:22
Wed May 18 15:39:24 2022 -> Computing time scale for this machine...
Wed May 18 15:39:24 2022 -> procrels -speedtest> PIPE

79012986341087756129367062447679212840923937882111941040802653052821094736549325622539942190234111757701938277115168215158738822322843767153134554357062033<155>

250093924875324367350716352333217972166616213910911209<54>
315933249400108114874319538660065307896636915117000576960655952315477426050875659790351931261133189737<102>

250093924875324367350716352333217972166616213910911209

305606125253187861258653940831625744579665355433226052798011568555745940356087383478807179526265007618426038805138742667880809141486327129452038069293701167102057<162>

32310831765089487891846218677863003499<38>
9458318110627612817522370756209410754336035216693708359082847999518416593714578095432005375829806035839677290702956211448443<124>

Number: n
N=305606125253187861258653940831625744579665355433226052798011568555745940356087383478807179526265007618426038805138742667880809141486327129452038069293701167102057  ( 162 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue May 10 15:20:16 2022  p38 factor: 32310831765089487891846218677863003499
Tue May 10 15:20:16 2022  p124 factor: 9458318110627612817522370756209410754336035216693708359082847999518416593714578095432005375829806035839677290702956211448443
Tue May 10 15:20:16 2022  elapsed time 00:10:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 61x10^170-16 = 67(169)6
#
n: 305606125253187861258653940831625744579665355433226052798011568555745940356087383478807179526265007618426038805138742667880809141486327129452038069293701167102057
m: 10000000000000000000000000000000000
deg: 5
c5: 61
c0: -16
skew: 0.77
# Murphy_E = 2.962e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1505083 hash collisions in 15157255 relations (14635793 unique)
Msieve: matrix is 607698 x 607924 (210.2 MB)

Sieving start time : 2022/05/10 14:07:46
Sieving end time  : 2022/05/10 15:09:27

Total sieving time: 1hrs 1min 41secs.

Total relation processing time: 0hrs 5min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 9sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

116045687956883276143985550435419656064554174925067260728640214405851551006812235557133<87>

14284259913656717686441348693399827469<38>
8124025231852282180545644504807285988228844390657<49>

14284259913656717686441348693399827469

63121478031115233914874693688541269498448557553563780272169351476429040397412571676902842871286876957465213430644393652352118447031454611963023250970459<152>

6578344634678854411508566820573359337<37>
9595343743220704068215620021817972298485678386793281742728004605140616495842027648075129255586037743268923037542307<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3074453719
Step 1 took 5875ms
********** Factor found in step 1: 6578344634678854411508566820573359337
Found prime factor of 37 digits: 6578344634678854411508566820573359337
Prime cofactor 9595343743220704068215620021817972298485678386793281742728004605140616495842027648075129255586037743268923037542307 has 115 digits

GMP-ECM

321853565871584943719735739860937310185540455241502453811586204963610919265280699786052854560430761214707859533226642569648478500055168866963168724123500932721081319922951<171>

186850638259712228119041677328368865989220382429153<51>
1722517883103112478128821943860817723797947398957464319633350408863095630591718190647248052815148763155355800212039444967<121>

Number: n
N=321853565871584943719735739860937310185540455241502453811586204963610919265280699786052854560430761214707859533226642569648478500055168866963168724123500932721081319922951  ( 171 digits)
SNFS difficulty: 178 digits.
Divisors found:

Thu May 12 07:32:50 2022  p51 factor: 186850638259712228119041677328368865989220382429153
Thu May 12 07:32:50 2022  p121 factor: 1722517883103112478128821943860817723797947398957464319633350408863095630591718190647248052815148763155355800212039444967
Thu May 12 07:32:50 2022  elapsed time 00:18:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 61x10^177-16 = 67(176)6
#
n: 321853565871584943719735739860937310185540455241502453811586204963610919265280699786052854560430761214707859533226642569648478500055168866963168724123500932721081319922951
m: 100000000000000000000000000000000000
deg: 5
c5: 1525
c0: -4
skew: 0.30
# Murphy_E = 1.24e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4213765 hash collisions in 31054141 relations (28503196 unique)
Msieve: matrix is 831271 x 831497 (282.2 MB)

Sieving start time : 2022/05/12 05:25:36
Sieving end time  : 2022/05/12 07:13:57

Total sieving time: 1hrs 48min 21secs.

Total relation processing time: 0hrs 10min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

850717154217871710376289426119609084943705410444695946553415502517713228828603830953592063923068013<99>

12186606823851446912653595708037220619169677<44>
69807549099956245319757403256190884186949075498154063969<56>

starting SIQS on c99: 850717154217871710376289426119609084943705410444695946553415502517713228828603830953592063923068013

==== sieving in progress (16 threads):  114000 relations needed ====
====            Press ctrl-c to abort and save state            ====
116942 rels found: 29016 full + 87926 from 1653497 partial, (1134.07 rels/sec)

failure to equate relation
Q = 43758824489046550533624234664086813527174899596925993209726683048216143291223343034696850488082456640, RHS = 6570867401534046608821350718585939497824199300168463534670463805659611358422969432514677274730560
failure to equate relation
Q = 18809130995657515563726808424650548524814735761145546791241963453034965336802398289121480980581368640, RHS = 8658494736088115015782521518061852928933180166586852962654751657818950676290051396115539383862080
failure to equate relation
Q = 43737851876041888551821001288607798388037485209138453347907700713961560014112780630799833613048858280, RHS = 2129897630582872731953878117311659207348637564313692620594676658255413121626753862454934126577320
failure to equate relation
Q = 45032412520488423709591753924166602385369395167605264382815030407700096325537285210402535615621126464, RHS = 8784939315404240419109659039136787599824193998516793778054945473719393910751901623985121420007744
failure to equate relation
Q = 43939125079659285062418974718234642252998331826432613186123713506059584197559443986864470071541039248, RHS = 1093159012400991777852317786667224702714697946521503824255375180681266549293335741677904109568144
SIQS elapsed time = 1525.3149 seconds.


***factors found***

P56 = 69807549099956245319757403256190884186949075498154063969
P44 = 12186606823851446912653595708037220619169677

124230426217058424755445231818652343252561197064971740051021363776065426186518526858564951396562620705254191615475318298154471872403810941943405174033<150>

289417198523869222303176972541572412412070121695622056425939<60>
429243413489861136558134512575303888266232161882196201417056313294385401507816138253499147<90>

Number: n
N=124230426217058424755445231818652343252561197064971740051021363776065426186518526858564951396562620705254191615475318298154471872403810941943405174033  ( 150 digits)
SNFS difficulty: 180 digits.
Divisors found:

Sat May 14 09:56:42 2022  p60 factor: 289417198523869222303176972541572412412070121695622056425939
Sat May 14 09:56:42 2022  p90 factor: 429243413489861136558134512575303888266232161882196201417056313294385401507816138253499147
Sat May 14 09:56:42 2022  elapsed time 00:17:55 (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 = 61x10^179-16 = 67(178)6
#
n: 124230426217058424755445231818652343252561197064971740051021363776065426186518526858564951396562620705254191615475318298154471872403810941943405174033
m: 500000000000000000000000000000000000
deg: 5
c5: 61
c0: -5
skew: 0.61
# Murphy_E = 1.25e-10
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2739494 hash collisions in 28786632 relations (27880596 unique)
Msieve: matrix is 765308 x 765535 (262.1 MB)

Sieving start time : 2022/05/14 06:11:22
Sieving end time  : 2022/05/14 09:37:44

Total sieving time: 3hrs 26min 22secs.

Total relation processing time: 0hrs 8min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 8sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

2804979422669088908757924421965679122371237371433428037483811784031093479068232565010819619745767169<100>

4004312290642638097403790989724966094751971176119<49>
700489676897534771331607703503871150216561854162951<51>

prp51 = 700489676897534771331607703503871150216561854162951
prp49 = 4004312290642638097403790989724966094751971176119

Yafu

3613689307823319992472973734546792543085118891086904282196191914716514179744591874299486245797652595984535323902314725266703911307283<133>

15808188511107837514660955746369284322501596595331299111826857<62>
228596040924240770116811360734272628800203877713758823954829031441821019<72>

3613689307823319992472973734546792543085118891086904282196191914716514179744591874299486245797652595984535323902314725266703911307283=15808188511107837514660955746369284322501596595331299111826857*228596040924240770116811360734272628800203877713758823954829031441821019

cado polynomial
n: 3613689307823319992472973734546792543085118891086904282196191914716514179744591874299486245797652595984535323902314725266703911307283
skew: 0.30
type: snfs
c0: -4
c5: 1525
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 1525*x^5-4
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7900000
tasks.lim1 = 7900000
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: 15808188511107837514660955746369284322501596595331299111826857 228596040924240770116811360734272628800203877713758823954829031441821019
Info:Square Root: Total cpu/real time for sqrt: 285.25/90.4863
Info:Filtering - Singleton removal: Total cpu/real time for purge: 118.46/120.38
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22426580
Info:Lattice Sieving: Average J: 1896.44 for 1048827 special-q, max bucket fill -bkmult 1.0,1s:1.164500
Info:Lattice Sieving: Total time: 183605s
Info:Linear Algebra: Total cpu/real time for bwc: 20712.2/5322.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13149.26, WCT time 3368.94, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36096 iterations)
Info:Linear Algebra: Lingen CPU time 226.57, WCT time 57.45
Info:Linear Algebra: Mksol: CPU time 7142.09,  WCT time 1824.04, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 120.76/32.8553
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.65/103.808
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.7s
Info:Filtering - Merging: Merged matrix has 1148932 rows and total weight 195382711 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 281.39/78.3957
Info:Filtering - Merging: Total cpu/real time for replay: 40.63/34.8754
Info:Generate Factor Base: Total cpu/real time for makefb: 3.38/1.81477
Info:Quadratic Characters: Total cpu/real time for characters: 38.6/15.7572
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 217.47/182.776
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 285.25/90.4863
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 364786/98219
Info:root: Cleaning up computation data in /tmp/cado.3poi2hum
15808188511107837514660955746369284322501596595331299111826857 228596040924240770116811360734272628800203877713758823954829031441821019

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)

7131875991295687990143438721789735908830063117991084565754241109188263811057907783880044707930083034865492257607364009435364373764326489108114806573328040873384592674851572332197153<181>

8201147150658251546745164432469362113483397160539818115957<58>
869619317917403753576697232556223061305960995950074719013779217932036685417402388213988882728642125940374087578370062799229<123>

Number: n
N=7131875991295687990143438721789735908830063117991084565754241109188263811057907783880044707930083034865492257607364009435364373764326489108114806573328040873384592674851572332197153  ( 181 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon May 16 06:26:38 2022  p58 factor: 8201147150658251546745164432469362113483397160539818115957
Mon May 16 06:26:38 2022  p123 factor: 869619317917403753576697232556223061305960995950074719013779217932036685417402388213988882728642125940374087578370062799229
Mon May 16 06:26:38 2022  elapsed time 00:31:57 (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 = 61x10^188-16 = 67(187)6
#
n: 7131875991295687990143438721789735908830063117991084565754241109188263811057907783880044707930083034865492257607364009435364373764326489108114806573328040873384592674851572332197153
m: 10000000000000000000000000000000000000
deg: 5
c5: 7625
c0: -2
skew: 0.19
# Murphy_E = 4.195e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3391820 hash collisions in 29594469 relations (27949701 unique)
Msieve: matrix is 1128796 x 1129022 (389.9 MB)

Sieving start time : 2022/05/16 01:30:17
Sieving end time  : 2022/05/16 05:54:09

Total sieving time: 4hrs 23min 52secs.

Total relation processing time: 0hrs 21min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 4sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

65271357644239000171203561034069508645779832220510186611881527135764423900017120356103406950864577983222051018661188152713576442390001712035610340695086457798322205101866118815271357644239<188>

6907445010403637189778024432868916469138268058511724867754350233316088564353109<79>
9449421247064674400355395771905365249143612277453819865041005885842488710734457496489132500629358218809991571<109>

Number: n
N=65271357644239000171203561034069508645779832220510186611881527135764423900017120356103406950864577983222051018661188152713576442390001712035610340695086457798322205101866118815271357644239  ( 188 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Jun 25 11:25:09 2022  p79 factor: 6907445010403637189778024432868916469138268058511724867754350233316088564353109
Sat Jun 25 11:25:09 2022  p109 factor: 9449421247064674400355395771905365249143612277453819865041005885842488710734457496489132500629358218809991571
Sat Jun 25 11:25:09 2022  elapsed time 00:42:08 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 61x10^191-16 = 67(190)6
#
n: 65271357644239000171203561034069508645779832220510186611881527135764423900017120356103406950864577983222051018661188152713576442390001712035610340695086457798322205101866118815271357644239
m: 100000000000000000000000000000000000000
deg: 5
c5: 305
c0: -8
skew: 0.48
# Murphy_E = 3.402e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3071647 hash collisions in 28665231 relations (27324161 unique)
Msieve: matrix is 1287308 x 1287533 (448.6 MB)

Sieving start time : 2022/06/25 06:21:24
Sieving end time  : 2022/06/25 10:42:13

Total sieving time: 4hrs 20min 49secs.

Total relation processing time: 0hrs 29min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 40sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

36450086524614699537690841064944573776853215814068394961364347765106263408492033021657216899135012097351024922684227664967309896041943144614309646200445808303493<161>

1468124152976925786321061077497797738541647200068750204371403<61>
24827659466472641198600430295524327019252303298049430295018285770643724725378758147123885808556930031<101>

Number: n
N=36450086524614699537690841064944573776853215814068394961364347765106263408492033021657216899135012097351024922684227664967309896041943144614309646200445808303493  ( 161 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Aug 15 21:03:29 2022  p61 factor: 1468124152976925786321061077497797738541647200068750204371403
Mon Aug 15 21:03:29 2022  p101 factor: 24827659466472641198600430295524327019252303298049430295018285770643724725378758147123885808556930031
Mon Aug 15 21:03:29 2022  elapsed time 00:46:20 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 61x10^192-16 = 67(191)6
#
n: 36450086524614699537690841064944573776853215814068394961364347765106263408492033021657216899135012097351024922684227664967309896041943144614309646200445808303493
m: 100000000000000000000000000000000000000
deg: 5
c5: 1525
c0: -4
skew: 0.30
# Murphy_E = 3.033e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3143918 hash collisions in 28619105 relations (27181423 unique)
Msieve: matrix is 1351792 x 1352017 (468.9 MB)

Sieving start time : 2022/08/15 16:00:56
Sieving end time  : 2022/08/15 20:16:17

Total sieving time: 4hrs 15min 21secs.

Total relation processing time: 0hrs 32min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 41sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

6253240721716865958021010652128768534216696073275018034481883552557498304675425347871788074826907598073381991832448377175578222913495618723726570255164807542623457451<166>

925443692589660869335328150453401661113<39>

6757019116115512073636682344605442392755941746594589886601863040713368776714116767157143667293250292505405142613313619146909827<127>

925443692589660869335328150453401661113

6757019116115512073636682344605442392755941746594589886601863040713368776714116767157143667293250292505405142613313619146909827<127>

16889618981975237552419772274304420600804641893630054631799<59>
400069363514160225493188500387629687162758552019161971208898526911573<69>

6757019116115512073636682344605442392755941746594589886601863040713368776714116767157143667293250292505405142613313619146909827=16889618981975237552419772274304420600804641893630054631799*400069363514160225493188500387629687162758552019161971208898526911573

cado polynomial
n: 6757019116115512073636682344605442392755941746594589886601863040713368776714116767157143667293250292505405142613313619146909827
skew: 13217.002
c0: -2786183986136279695184008224
c1: -458364869626463102008186
c2: -32224800506797267053
c3: 8197277615065831
c4: 55839038832
c5: -12300480
Y0: -1924044571824728230432920
Y1: 1285146703027099
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.065e-07
# f(x) = -12300480*x^5+55839038832*x^4+8197277615065831*x^3-32224800506797267053*x^2-458364869626463102008186*x-2786183986136279695184008224
# g(x) = 1285146703027099*x-1924044571824728230432920

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

cado log (extracts)
Info:Square Root: Factors: 16889618981975237552419772274304420600804641893630054631799 400069363514160225493188500387629687162758552019161971208898526911573
Info:Square Root: Total cpu/real time for sqrt: 335.79/99.9332
Info:Filtering - Singleton removal: Total cpu/real time for purge: 164.91/190.448
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12658733
Info:Lattice Sieving: Average J: 3807.52 for 305182 special-q, max bucket fill -bkmult 1.0,1s:1.200360
Info:Lattice Sieving: Total time: 88690s
Info:Generate Factor Base: Total cpu/real time for makefb: 8.59/2.28922
Info:Linear Algebra: Total cpu/real time for bwc: 11126.9/2861.94
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7004.43, WCT time 1792.87, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Linear Algebra: Lingen CPU time 149.45, WCT time 38.01
Info:Linear Algebra: Mksol: CPU time 3837.25,  WCT time 981.75, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13568 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 126.14/32.988
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.95/61.3014
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3054.55
Info:Polynomial Selection (root optimized): Rootsieve time: 3052.15
Info:Filtering - Merging: Merged matrix has 859673 rows and total weight 146302170 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 186.84/53.5945
Info:Filtering - Merging: Total cpu/real time for replay: 32.29/26.8493
Info:Quadratic Characters: Total cpu/real time for characters: 31.99/12.7329
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19925.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20303/37.680/45.217/50.910/0.845
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16045/37.100/40.610/46.030/1.051
Info:Polynomial Selection (size optimized): Total time: 1944.54
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 223.15/219.831
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 177.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 335.79/99.9332
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 182479/49275.3
Info:root: Cleaning up computation data in /tmp/cado.5iskv9_3
16889618981975237552419772274304420600804641893630054631799 400069363514160225493188500387629687162758552019161971208898526911573

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)

909250800138654033128271905716976825106111655813485406444836575122446628956621034881695279122741078309747424591825181882872294722357321294678416915617489<153>

271674384278472717345716199790853568757676900579<48>
3346840382296220822011204620254246182478931750414396513143205365325153324850953463044680114578694972431291<106>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 909250800138654033128271905716976825106111655813485406444836575122446628956621034881695279122741078309747424591825181882872294722357321294678416915617489 (153 digits)
Using B1=34800000, B2=192388936756, polynomial Dickson(12), sigma=1:2021527073
Step 1 took 59772ms
Step 2 took 21748ms
********** Factor found in step 2: 271674384278472717345716199790853568757676900579
Found prime factor of 48 digits: 271674384278472717345716199790853568757676900579
Prime cofactor 3346840382296220822011204620254246182478931750414396513143205365325153324850953463044680114578694972431291 has 106 digits

522759583961097759837354085146841671907814951227173435142821749789017664065961874236968846386578074893498008558951422003419478268749375164018132962324680543<156>

750445502125824131635426781772005959039<39>

696598996836213692120081611549572360892604088686108578305545275970755630351363521188964493238370542442244242835899937<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3603011515
Step 1 took 4782ms
********** Factor found in step 2: 750445502125824131635426781772005959039
Found prime factor of 39 digits: 750445502125824131635426781772005959039
Composite cofactor 696598996836213692120081611549572360892604088686108578305545275970755630351363521188964493238370542442244242835899937 has 117 digits
 

GMP-ECM

696598996836213692120081611549572360892604088686108578305545275970755630351363521188964493238370542442244242835899937<117>

34412093195757040908781784548924934590891123053048911587<56>
20242854535861343529234146913969195158341107780950920236907051<62>

#
# N = 61x10^196-16 = 67(195)6
#
n: 696598996836213692120081611549572360892604088686108578305545275970755630351363521188964493238370542442244242835899937


CADO


STA:Wed 27 Jul 2022 03:03:17 AEST (696598996836213692120081611549572360892604088686108578305545275970755630351363521188964493238370542442244242835899937 - C117)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 696598996836213692120081611549572360892604088686108578305545275970755630351363521188964493238370542442244242835899937 2>&1 | tee -a log176

Debug:root: Looking for parameter file for c117 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.qz1d4q9f
Info:Database: Opened connection to database /tmp/cado.qz1d4q9f/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 696598996836213692120081611549572360892604088686108578305545275970755630351363521188964493238370542442244242835899937
Debug:root: Root parameter dictionary:
N = 696598996836213692120081611549572360892604088686108578305545275970755630351363521188964493238370542442244242835899937
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 696598996836213692120081611549572360892604088686108578305545275970755630351363521188964493238370542442244242835899937
skew: 5245251.12
c0: 70552019688632885518933085067640
c1: 14540534461861298267208478
c2: -22326346714039446491
c3: -685122269250
c4: 156600
Y0: -8168856302640308510547560853
Y1: 1935668847236178869
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.44e-09
# f(x) = 156600*x^4-685122269250*x^3-22326346714039446491*x^2+14540534461861298267208478*x+70552019688632885518933085067640
# g(x) = 1935668847236178869*x-8168856302640308510547560853
===
Info:Square Root: finished
Info:Square Root: Factors: 20242854535861343529234146913969195158341107780950920236907051 34412093195757040908781784548924934590891123053048911587
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 355.5/51.1114
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56408/40.150/44.655/48.660/0.599
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56408/38.460/43.948/45.730/0.987
Info:Polynomial Selection (size optimized): Total time: 1117.31
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 150.9
Info:Polynomial Selection (root optimized): Rootsieve time: 150.23
Info:Generate Factor Base: Total cpu/real time for makefb: 2.7/0.295451
Info:Generate Free Relations: Total cpu/real time for freerel: 53.51/3.5729
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6784299
Info:Lattice Sieving: Average J: 4096 for 106793 special-q, max bucket fill: 0.675573
Info:Lattice Sieving: Total CPU time: 85615.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.19/19.8773
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90/26.4865
Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.56/26.9391
Info:Filtering - Merging: Total cpu/real time for merge: 166.88/133.071
Info:Filtering - Merging: Total cpu/real time for replay: 17.86/13.4684
Info:Linear Algebra: Total cpu/real time for bwc: 5648.03/0.000319481
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 230.02
Info:Linear Algebra: Lingen CPU time 110.26, WCT time 11.04
Info:Linear Algebra: Mksol: WCT time 133.53
Info:Quadratic Characters: Total cpu/real time for characters: 17.52/4.06846
Info:Square Root: Total cpu/real time for sqrt: 355.5/51.1114
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 93320.1/6364.75
Info:root: Cleaning up computation data in /tmp/cado.qz1d4q9f
20242854535861343529234146913969195158341107780950920236907051 34412093195757040908781784548924934590891123053048911587

END:Wed 27 Jul 2022 04:49:22 AEST (696598996836213692120081611549572360892604088686108578305545275970755630351363521188964493238370542442244242835899937 - C117)

35668439216725031891971941291957291963947440180601483478268793487724703278204922517447774284807656825708758187694855703584593732042546184120430831259<149>

8387322699390642438062250191584139889139242876148511<52>
4252660890145126163291510918239631816012296973848540899912911511094972299882575942488815281144069<97>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 35668439216725031891971941291957291963947440180601483478268793487724703278204922517447774284807656825708758187694855703584593732042546184120430831259 (149 digits)
Using B1=21240000, B2=96186180106, polynomial Dickson(12), sigma=1:457438449
Step 1 took 43039ms
Step 2 took 17637ms
********** Factor found in step 2: 8387322699390642438062250191584139889139242876148511
Found prime factor of 52 digits: 8387322699390642438062250191584139889139242876148511
Prime cofactor 4252660890145126163291510918239631816012296973848540899912911511094972299882575942488815281144069 has 97 digits

71447311707051966792226532486272746013005753265493525233784974044714304454564194823935083675343415603155862896122636382376642116901857161597421337681077940818200558460298720038979779239519499259759<197>

1765272072530621158107511944130538654492376614652217028683994127794966605600452281<82>
40473824300991773277538329323478039524838050281634362605857449184639013924850142017754873542746692169016059679316839<116>

1765272072530621158107511944130538654492376614652217028683994127794966605600452281

78164203569767491868791234602951083609439592074663709741233845537315392142313149365643386410085321831502670403018394585695449771734842537462089768615645953286799528537<167>

252989005751845150423254252768064091434005151055519565953712011<63>
308962847367518099905419385938190272157114036091818245509891296418536819185275079863330895197810695565867<105>

Number: n
N=78164203569767491868791234602951083609439592074663709741233845537315392142313149365643386410085321831502670403018394585695449771734842537462089768615645953286799528537  ( 167 digits)
SNFS difficulty: 203 digits.
Divisors found:

Tue Aug 29 04:15:24 2023  prp63 factor: 252989005751845150423254252768064091434005151055519565953712011
Tue Aug 29 04:15:24 2023  prp105 factor: 308962847367518099905419385938190272157114036091818245509891296418536819185275079863330895197810695565867
Tue Aug 29 04:15:24 2023  elapsed time 02:28:32 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 61x10^202-16 = 67(201)6
#
n: 78164203569767491868791234602951083609439592074663709741233845537315392142313149365643386410085321831502670403018394585695449771734842537462089768615645953286799528537
m: 10000000000000000000000000000000000000000
deg: 5
c5: 1525
c0: -4
skew: 0.30
# Murphy_E = 1.161e-11
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2815877 hash collisions in 18053163 relations (15735251 unique)
Msieve: matrix is 2107351 x 2107576 (595.2 MB)

Sieving start time: 2023/08/28 14:09:31
Sieving end time  : 2023/08/29 01:46:29

Total sieving time: 11hrs 36min 58secs.

Total relation processing time: 2hrs 15min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 46sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17000000,17000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

27369638144309100237773058354796513829582023808318776275301301129265885643083119921945022527096659655014056687204843130156215485091569656105970644385017332429076383652763034067787253236239856094211571<200>

71064030209201219848762160044734281<35>
385140528390202918204129338174269445950724555064575663400843230274916751699579710312265609610361869905199280455988108351277889224763572669293115868580017072494432091<165>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:687933868
Step 1 took 10687ms
********** Factor found in step 1: 71064030209201219848762160044734281
Found prime factor of 35 digits: 71064030209201219848762160044734281
Prime cofactor 385140528390202918204129338174269445950724555064575663400843230274916751699579710312265609610361869905199280455988108351277889224763572669293115868580017072494432091 has 165 digits

24192160266129455646519250889982070558129416342841743437241302011966340300291821007652266990984355107604861204319478287608236550473757625750699602287552304641870532128171<170>

757063199667744791827014791115259257796161309946058734697340412139988509946547<78>
31955271735235263197490187805571901726221473137367909319752197254907262887750563243466781993<92>

10/12/24 16:05:50 v1.34.5 @ RYZEN-9,
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, ****************************
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, Starting factorization of 609999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999984
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, ****************************
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, div: found prime factor = 163
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C205
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C205
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, prp9 = 165399079
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C197
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C197
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C197
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.62
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C197 input, B1=2K, B2=gmp-ecm default
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/12/24 16:05:50 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.62
10/12/24 16:05:53 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C197 input, B1=11K, B2=gmp-ecm default
10/12/24 16:05:53 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/12/24 16:05:53 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 60.62
10/12/24 16:06:19 v1.34.5 @ RYZEN-9, prp28 = 2164964333302075899493927211 (curve 182 stg2 B1=50000 sigma=1746122996 thread=0)
10/12/24 16:06:19 v1.34.5 @ RYZEN-9, Finished 182 curves using Lenstra ECM method on C197 input, B1=50K, B2=gmp-ecm default
10/12/24 16:06:19 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 24.50
10/12/24 16:06:19 v1.34.5 @ RYZEN-9, scheduled 32 curves at B1=50000 toward target pretesting depth of 52.31
10/12/24 16:06:22 v1.34.5 @ RYZEN-9, Finished 32 curves using Lenstra ECM method on C170 input, B1=50K, B2=gmp-ecm default
10/12/24 16:06:22 v1.34.5 @ RYZEN-9, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C170
10/12/24 16:06:23 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 25.33
10/12/24 16:06:23 v1.34.5 @ RYZEN-9, scheduled 430 curves at B1=250000 toward target pretesting depth of 52.31
10/12/24 16:06:53 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 609999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999984
10/12/24 16:06:53 v1.34.5 @ RYZEN-9, nfs: input divides 61*10^208 - 16
10/12/24 16:06:53 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 24192160266129455646519250889982070558129416342841743437241302011966340300291821007652266990984355107604861204319478287608236550473757625750699602287552304641870532128171
10/12/24 16:06:53 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c170: 24192160266129455646519250889982070558129416342841743437241302011966340300291821007652266990984355107604861204319478287608236550473757625750699602287552304641870532128171
10/12/24 16:06:53 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 24192160266129455646519250889982070558129416342841743437241302011966340300291821007652266990984355107604861204319478287608236550473757625750699602287552304641870532128171
# 61*10^208-16, difficulty: 212.79, anorm: -6.61e+026, rnorm: 2.28e+047
# scaled difficulty: 216.21, suggest sieving rational side
# size = 1.522e-014, alpha = -0.231, combined = 6.143e-012, rroots = 1
type: snfs
size: 212
skew: 0.1922
c5: 7625
c0: -2
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 24192160266129455646519250889982070558129416342841743437241302011966340300291821007652266990984355107604861204319478287608236550473757625750699602287552304641870532128171
# 61*10^208-16, difficulty: 211.18, anorm: -5.96e+025, rnorm: 5.10e+047
# scaled difficulty: 214.84, suggest sieving rational side
# size = 1.392e-014, alpha = 0.037, combined = 5.720e-012, rroots = 1
type: snfs
size: 211
skew: 0.9610
c5: 61
c0: -50
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
n: 24192160266129455646519250889982070558129416342841743437241302011966340300291821007652266990984355107604861204319478287608236550473757625750699602287552304641870532128171
# 61*10^208-16, difficulty: 211.18, anorm: 5.02e+031, rnorm: 5.39e+040
# scaled difficulty: 212.69, suggest sieving rational side
# size = 1.809e-010, alpha = 0.059, combined = 5.074e-012, rroots = 2
type: snfs
size: 211
skew: 0.8619
c6: 61
c0: -25
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
10/12/24 16:06:55 v1.34.5 @ RYZEN-9, test: fb generation took 1.9532 seconds
10/12/24 16:06:55 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23802000
skew: 0.1922
c5: 7625
c0: -2
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/12/24 16:10:26 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/12/24 16:10:28 v1.34.5 @ RYZEN-9, test: fb generation took 1.7813 seconds
10/12/24 16:10:28 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 0.9610
c5: 61
c0: -50
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/12/24 16:13:38 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/12/24 16:13:41 v1.34.5 @ RYZEN-9, test: fb generation took 2.5938 seconds
10/12/24 16:13:41 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.8619
c6: 61
c0: -25
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/12/24 16:16:45 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/12/24 16:16:45 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 24192160266129455646519250889982070558129416342841743437241302011966340300291821007652266990984355107604861204319478287608236550473757625750699602287552304641870532128171
# 61*10^208-16, difficulty: 211.18, anorm: -5.96e+025, rnorm: 5.10e+047
# scaled difficulty: 214.84, suggest sieving rational side
# size = 1.392e-014, alpha = 0.037, combined = 5.720e-012, rroots = 1
type: snfs
size: 211
skew: 0.9610
c5: 61
c0: -50
Y1: -1
Y0: 500000000000000000000000000000000000000000
m: 500000000000000000000000000000000000000000
10/14/24 00:19:47 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/14/24 00:26:30 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
10/14/24 06:41:05 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
10/14/24 06:45:20 v1.34.5 @ RYZEN-9, prp92 = 31955271735235263197490187805571901726221473137367909319752197254907262887750563243466781993
10/14/24 06:45:20 v1.34.5 @ RYZEN-9, prp78 = 757063199667744791827014791115259257796161309946058734697340412139988509946547
10/14/24 06:45:20 v1.34.5 @ RYZEN-9, NFS elapsed time = 139107.5278 seconds.
10/14/24 06:45:20 v1.34.5 @ RYZEN-9,
10/14/24 06:45:20 v1.34.5 @ RYZEN-9,
10/12/24 16:16:45 v1.34.5 @ RYZEN-9, test: test sieving took 592.06 seconds

YAFU

749141521532045932278368263733602926966546411375218672954804621388051882529399900321234492288956581341913915726982994325016135480330023731492213730686060753883604712104709549303<177>

12587927016050386428601822812330400208699<41>
59512699793766209732472121238014144228487677399811417500437362574002914356243222202178675174698942948279926168517547619733637756257844597<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3072033371
Step 1 took 7375ms
Step 2 took 3437ms
********** Factor found in step 2: 12587927016050386428601822812330400208699
Found prime factor of 41 digits: 12587927016050386428601822812330400208699
Prime cofactor 59512699793766209732472121238014144228487677399811417500437362574002914356243222202178675174698942948279926168517547619733637756257844597 has 137 digits

GMP-ECM

3453681541409298512924818384909686439268792238633308907375643291159527902624320068987347581501672264438669495641187768265687404362010326105004713488310693887067028103399<169>

189704931084241429069015275911827635965567000049758670448325620739413842862118724187689704931084241429069015275911827635965567000049758670448325620739413842862118724187689704931084241429069015275911827635965567<210>

10289735194251817683343756853430552182073340527061109690506970328548099022593148929774976908810814064131687720776979753102522242487820035984028163765759<152>

226530005941770647653000594177064765300059417706476530005941770647653000594177064765300059417706476530005941770647653000594177064765300059417706476530005941770647653000594177064765300059417706476530005941770647653<213>

7737678317975331078647320399876470117809670562835137690107610087049406337755909504510299273025748254029268713183483946906160167684323789146002489001973317<154>

2243856145118183435974437961177012514213<40>

3448384306992990931103810862729668486886084653948413111535975720159396878609224216776069834278388012715917424075809<115>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1934054433
Step 1 took 6952ms
Step 2 took 3479ms
********** Factor found in step 2: 2243856145118183435974437961177012514213
Found prime factor of 40 digits: 2243856145118183435974437961177012514213
Composite cofactor 3448384306992990931103810862729668486886084653948413111535975720159396878609224216776069834278388012715917424075809 has 115 digits

3448384306992990931103810862729668486886084653948413111535975720159396878609224216776069834278388012715917424075809<115>

21347932322068161025282146345319716740127437<44>
161532473261041131387093283931299270070425121266010604858718663765038757<72>

3448384306992990931103810862729668486886084653948413111535975720159396878609224216776069834278388012715917424075809=21347932322068161025282146345319716740127437*161532473261041131387093283931299270070425121266010604858718663765038757

cado polynomial
n: 3448384306992990931103810862729668486886084653948413111535975720159396878609224216776069834278388012715917424075809
skew: 34285.668
c0: -937396624854019903786359324
c1: 19185304796389067255867
c2: 8085984593015973228
c3: -4138805233661
c4: -3312360810
c5: 16200
Y0: -25831008577475923872294
Y1: 61774281014263
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.020e-06
# f(x) = 16200*x^5-3312360810*x^4-4138805233661*x^3+8085984593015973228*x^2+19185304796389067255867*x-937396624854019903786359324
# g(x) = 61774281014263*x-25831008577475923872294

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 4500000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 161532473261041131387093283931299270070425121266010604858718663765038757 21347932322068161025282146345319716740127437
Info:Square Root: Total cpu/real time for sqrt: 241.05/71.1384
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.19/102.663
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7007978
Info:Lattice Sieving: Average J: 1905.18 for 136840 special-q, max bucket fill -bkmult 1.0,1s:1.262070
Info:Lattice Sieving: Total time: 15738.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.2/1.14324
Info:Linear Algebra: Total cpu/real time for bwc: 2478.39/638.76
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1532.01, WCT time 391.64, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13568 iterations)
Info:Linear Algebra: Lingen CPU time 66.31, WCT time 16.91
Info:Linear Algebra: Mksol: CPU time 843.35,  WCT time 215.28, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6784 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.73/16.8679
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.22/30.8774
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 336.16
Info:Polynomial Selection (root optimized): Rootsieve time: 335.08
Info:Filtering - Merging: Merged matrix has 431916 rows and total weight 66983409 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.33/20.3819
Info:Filtering - Merging: Total cpu/real time for replay: 14.63/11.9301
Info:Quadratic Characters: Total cpu/real time for characters: 15.76/6.17391
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21575/33.580/40.851/47.450/1.093
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16972/32.780/36.152/41.270/0.834
Info:Polynomial Selection (size optimized): Total time: 1766.58
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 119.62/123.381
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 94.70000000000002s
Info:Square Root: Total cpu/real time for sqrt: 241.05/71.1384
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 34101.4/9356.36
Info:root: Cleaning up computation data in /tmp/cado.co017u6n
161532473261041131387093283931299270070425121266010604858718663765038757 21347932322068161025282146345319716740127437

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)

202908038085506112521488293869383106342439579973708440442166552239838631561580261106055041965373909618772386411415007477660157642913786037798108497921689472199602965517608426072285822249897548072573219864497346894243<216>

9643066804827671412936362621359120064906441209173754673836011565899253<70>
21041857553441705737811408708008610359271456176373040675612464064970007605383302344865698149569633357688909766894690248083780894874713167266955831<146>

Number: 67776_220
N = 202908038085506112521488293869383106342439579973708440442166552239838631561580261106055041965373909618772386411415007477660157642913786037798108497921689472199602965517608426072285822249897548072573219864497346894243 (216 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=9643066804827671412936362621359120064906441209173754673836011565899253 (pp70)
r2=21041857553441705737811408708008610359271456176373040675612464064970007605383302344865698149569633357688909766894690248083780894874713167266955831 (pp146)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 42.36 hours.
Factorization parameters were as follows:
n: 202908038085506112521488293869383106342439579973708440442166552239838631561580261106055041965373909618772386411415007477660157642913786037798108497921689472199602965517608426072285822249897548072573219864497346894243
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 61
c0: -16
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: 30018991
Relations: 7069790 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.30 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 6112356 x 6112581
Matrix solve time: 29.54 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 42.36 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

40363538108214413938548384387432773387101976916531293816562157304513190744814036561878500347880838714110402506297966878165144095927337402597487124154716619747778075541263452934988813<182>

382743851078088581100216807970879294050018143611673356587628713562355867280079203246121243183159612782799416345709904352995828846562850577027667298559<150>

10248962197932472293090023325677929878841<41>
8813180769150806884716071915147088217392769<43>
4237362832473807299854048321103268575400405773230924554427878769271<67>

./gpu-ecm/ecm -v -cgbn -gpucurves 10240 -inp test.txt -save residues.txt 43e6 0

GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
Running on Tyrant
Input number is 382743851078088581100216807970879294050018143611673356587628713562355867280079203246121243183159612782799416345709904352995828846562850577027667298559 (150 digits)
Using MODMULN [mulredc:1, sqrredc:1]
Computing batch product (of 62034615 bits) of primes up to B1=43000000 took 1142ms
GPU: will use device -1: NVIDIA GeForce RTX 3080 Ti, compute capability 8.6, 80 MPs.
GPU: maxSharedPerBlock = 49152 maxThreadsPerBlock = 1024 maxRegsPerBlock = 65536
GPU: Selection and initialization of the device took 19ms

Using B1=43000000, B2=0, sigma=3:2681668854-3:2681679093 (10240 curves)
dF=0, k=0, d=140734841186552, d2=0, i0=0
Expected number of curves to find a factor of n digits (assuming one exists):
35 40      45      50      55      60      65      70      75      80
621     3658    24066   174580  1382162 1.2e+07 1.1e+08 9.9e+08 5.2e+09 Inf
GPU: Using device code targeted for architecture compile_86
GPU: Ptx version is 86
GPU: maxThreadsPerBlock = 896
GPU: numRegsPerThread = 67 sharedMemPerBlock = 0 bytes
Copying 3276800 bits of data to GPU
CGBN<512, 4> running kernel<160 block x 256 threads> input number is 497 bits
Computing 100 bits/call, 1/62034615 (0.0%)
Computing 110 bits/call, 101/62034615 (0.0%)
Computing 121 bits/call, 211/62034615 (0.0%)
Computing 256 bits/call, 1585/62034615 (0.0%)
Computing 655 bits/call, 5631/62034615 (0.0%)
Computing 4823 bits/call, 331960/62034615 (0.5%), ETA 1087 + 6 = 1093 seconds (~107 ms/curves)
Computing 4823 bits/call, 814260/62034615 (1.3%), ETA 1078 + 14 = 1093 seconds (~107 ms/curves)
Computing 4823 bits/call, 1296560/62034615 (2.1%), ETA 1069 + 23 = 1092 seconds (~107 ms/curves)
Computing 4823 bits/call, 1778860/62034615 (2.9%), ETA 1060 + 31 = 1092 seconds (~107 ms/curves)
Computing 4823 bits/call, 4672660/62034615 (7.5%), ETA 1018 + 83 = 1101 seconds (~108 ms/curves)
Computing 4823 bits/call, 9495660/62034615 (15.3%), ETA 943 + 170 = 1113 seconds (~109 ms/curves)
Computing 4823 bits/call, 14318660/62034615 (23.1%), ETA 861 + 258 = 1119 seconds (~109 ms/curves)
Computing 4823 bits/call, 19141660/62034615 (30.9%), ETA 776 + 346 = 1122 seconds (~110 ms/curves)
Computing 4823 bits/call, 48079660/62034615 (77.5%), ETA 254 + 876 = 1130 seconds (~110 ms/curves)
Copying results back to CPU ...
GPU: factor 10248962197932472293090023325677929878841 found in Step 1 with curve 4600 (-sigma 3:-1613293842)
GPU: factor 10248962197932472293090023325677929878841 found in Step 1 with curve 4707 (-sigma 3:-1613293735)
GPU: factor 8813180769150806884716071915147088217392769 found in Step 1 with curve 6766 (-sigma 3:-1613291676)
Computing 10240 Step 1 took 3023ms of CPU time / 1130368ms of GPU time
Throughput: 9.059 curves per second (on average 110.39ms per Step 1)

********** Factor found in step 1: 10248962197932472293090023325677929878841

Found prime factor of 41 digits: 10248962197932472293090023325677929878841
Composite cofactor 37344644627072550679462560579474115679874312390586587114855829717768631473584692338382181273547309296134801399 has 110 digits


********** Factor found in step 1: 8813180769150806884716071915147088217392769

Found prime factor of 43 digits: 8813180769150806884716071915147088217392769
Prime cofactor 4237362832473807299854048321103268575400405773230924554427878769271 has 67 digits

Peak memory usage: 5349MB

GMP-ECM 7.0.5-dev with CGBN

Ubuntu 20.04, Nvidia 3080Ti FE

1296636397646498656599666700676801686902697003707104717205727306737407747508757609767710777811787912798013808114818215828316838417848518858619868720878821888922899023909124919225929326939427949528959629969730979831989933<220>

3201086253886342791513622039673740996417181892384045415571363202012126033511747893104528010161471235280125164430962830919633040257034421870147667178143030700760749506649618051319569297717865942543<196>

77416527336426980834192369906193901378059070820844319307014025444001686148825414888931571455362325546250258576799482989967471143109459095990002488551795752110417600951542338257973331<182>

4483236097295938623155887105072682451162761330072733170108271056153348372499053682922252496481272256471770759775921263983579386468845456752724623794829889892141487478342750413321<178>

3974136488373972692979189652520648359077195242853242241790442274426737805007671721366894697597138783181109185211707229029003280673278899822930627361762821199351<160>

6239246797745404443730718065419439303<37>
636957731790647352594826719517929820701917164337525890121607012332682870185941533766366743151577915362395099480484794670417<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:421392430
Step 1 took 6469ms
Step 2 took 3078ms
********** Factor found in step 2: 6239246797745404443730718065419439303
Found prime factor of 37 digits: 6239246797745404443730718065419439303
Prime cofactor 636957731790647352594826719517929820701917164337525890121607012332682870185941533766366743151577915362395099480484794670417 has 123 digits

GMP-ECM

40990386638716279961717835057325249796333742782049993363603666707516135613433395765020764766943826010146479621432333565216236540494828054619514893779654998837796901241425143324120975138189857006660999879366715631029389<218>

56516609845553638438470801679006744952200781021747718375078899993443380136833997391804367533807941773080975668658244082991374240637320393361721291003254242577058906014763767868986019127182073749577676796206097088427<215>

2400808990715441705701382702795252506030839422274066014719021277249168712658512834720904975444438282025957770768606334380001912396514985104007406671961540025296141933710479970815964741749251738267289124356454456777<214>

32562432778910806605237392037336743392934534685116464481861866855160632604928955241576239286585159775997125091980814868572929349599284635763888472778709668197144982016344286389963915332580990783903988777556995953<212>

135007364014709592091635360212683657437974511161<48>
241190049272890028160773111734757392395423135412105715976568765509373138591183970635606193714454096897644531983120685290845476414830755199691293961119113672515009273<165>

GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 23 08:00:37 2023
Input number is 32562432778910806605237392037336743392934534685116464481861866855160632604928955241576239286585159775997125091980814868572929349599284635763888472778709668197144982016344286389963915332580990783903988777556995953 (212 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 10368MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20  25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms
Computing F from factored S_1 took 95380ms
Computing h took 11438ms
Computing DCT-I of h took 28288ms
Multi-point evaluation 1 of 5:
Computing g_i took 37654ms
Computing g*h took 56425ms
Computing gcd of coefficients and N took 13977ms
Step 2 took 244619ms
********** Factor found in step 2: 135007364014709592091635360212683657437974511161
Found prime factor of 48 digits: 135007364014709592091635360212683657437974511161
Prime cofactor 241190049272890028160773111734757392395423135412105715976568765509373138591183970635606193714454096897644531983120685290845476414830755199691293961119113672515009273 has 165 digits
Peak memory usage: 10906MB

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

147610647342852106298275107033999213945966886792437437316461718847883287152084945696933036937047419077921916538607128322392847277520832394046908977043425249548187813169889524127455269<183>

1495577057452183738221681127921295733913813441954448006618197306597174391343756472328555886447423380778618146802809005767539925822459165686655084342242756675983350023123349901177<178>

10046762002441505275270913152370512741<38>
42861128758799410675216926355749566791<38>
6482055550289456026915723740184371639841<40>
535804463654235589309437482267021098633020588137693598514774387<63>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:955119509
Step 1 took 9025ms
Step 2 took 4291ms
********** Factor found in step 2: 42861128758799410675216926355749566791
Found prime factor of 38 digits: 42861128758799410675216926355749566791
Composite cofactor 34893552754257341802264694009748582321576655036370485408867005511088938323602693742616555307862776906786329280721298167177639042025297482047 has 140 digits
--
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:169909665
Step 1 took 6251ms
Step 2 took 3327ms
********** Factor found in step 2: 6482055550289456026915723740184371639841
Found prime factor of 40 digits: 6482055550289456026915723740184371639841
Composite cofactor 5383099926179924682247181181910467429301097077090938638527340476965076025299580413354900411123964767 has 100 digits

C100 has been factored by GNFS:
---
N=5383099926179924682247181181910467429301097077090938638527340476965076025299580413354900411123964767
  ( 100 digits)
Divisors found:
p38 factor: 10046762002441505275270913152370512741
p63 factor: 535804463654235589309437482267021098633020588137693598514774387
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.68 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5383099926179924682247181181910467429301097077090938638527340476965076025299580413354900411123964767
skew: 992927.01
c0: 1231838233813539340472889207
c1: -15380214796355358925614
c2: 11928711213853235
c3: 21858723632
c4: 8820
Y0: -883871464430273367942530
Y1: 6080514975443
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [900000, 1200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 215432 x 215665
Total sieving time: 2.58 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,99,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,52,52,2.5,2.5,100000
total time: 2.68 hours.
 --------- CPU info (if available) ----------

7024668283833194565679160273571810800473575927899166147928795185857210370947360320042600344951666558081137872583354745912280669099279437746877464442747789712155214063944870769285634822288381<190>

212398031456683977556292732140019343429400872398151146750624462829965396500743863741944176141727045947131928627121675948341354113048971754158827502915124315396933257176454111133<177>

696614226461291088819455864349796268888523451917630506678360649746934897403570319209194394196860896416890496811562425770615213141113486451424290595479544665533812055765681814029125326609293062179100659613733121379890003471651226954631<234>

2250490804240789323876613931318257233424381361484603544769870626645921939068700400864962267535089669209174767977802585566094119277652542458771098432534179903088361199466020755326651234411695249119857776821534615882633715713357<226>

229862473260954741330317539862806491157211814904601613068520012345939799206877130825111425058640826081642389220790585176677793666615913346238190523444850334081<159>

127643344624096038870912291446393118310987177163700706102311447907230586190344476908617290673585960490457206886813066529651164464183140651886428371014082776063292842642223301917542731<183>

480829865052339513179467776516584689115903644848026232816244166981964938832135199899104552907050069365619876403077311136334972884348593769706142010341783327027367890023962668684575608525665279354269138605120443939967208979694791272543826459831<243>

8257526532380333549924193199047000216590859865713666883257526532380333549924193199047000216590859865713666883257526532380333549924193199047000216590859865713666883257526532380333549924193199047000216590859865713666883257526532380333549924193199047<247>

19319864773366741644737330595131002162325309413593975481350207137109581342933360336552613611384297984164628564991765322687063936122241955222640121376699098672470813091281075124821924610633626271775995468478693681130916893436981508417<233>

7065937500378470677862631653014244203<37>

2734225256355850523520085486459511994302638125378278758577638812368820888644233347543372456500983370794320868469839344884274772394873620526752700439735093348703874878353846134886495512974302561539<196>

Resuming ECM residue saved by @0809b543a1cd with GMP-ECM 7.0.5-dev on Wed Jul 12 18:48:43 2023 
Input number is 19319864773366741644737330595131002162325309413593975481350207137109581342933360336552613611384297984164628564991765322687063936122241955222640121376699098672470813091281075124821924610633626271775995468478693681130916893436981508417 (233 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1173557173
Step 1 took 0ms
Step 2 took 6358ms
********** Factor found in step 2: 7065937500378470677862631653014244203
Found prime factor of 37 digits: 7065937500378470677862631653014244203
Composite cofactor 2734225256355850523520085486459511994302638125378278758577638812368820888644233347543372456500983370794320868469839344884274772394873620526752700439735093348703874878353846134886495512974302561539 has 196 digits

107867393182953011604234664193389084977262262346146930223245626256853028161391877389436197104183032371477537088984786878963174119523767284334222414370989961089754325346007094869664478126502470085480064992388477868987971232849817043<231>

108757564579523191597416839266298061580715861339538218345847478927333901775362189798140220308386846005323837143461283782789222117499655999965867839724679916894668685154234046983980891552471387172805274248794564508897583857774697400690860382228461<246>

87930743557777892571382095779978489376196540280622132868667877212760997264830448672796676868651168772068993075797402542787881232825886266424690337611368525234211696776700914728175170647784388923019953799514651008886560299452094226646721<236>

3549700630172330128674846805055328809604144322141337579269541899209784763393118535954980994037136025404052772779743264751806450552388428269221903130880339892567978411684813130211831420710969326880945571421151798441006026812142949567<232>

3028169383768914863670286872393726699384691741770770428116056178005900778343969441125085864265854283473820570486219398395896149115237063738996936585291707796909384822576071646629654902736631<190>

71380362618095928309190053931103635971755996991484408251738469809013472602124520122551959486688675607714295903068901775619455555071372012981275973378555850740260604149291872436016856169<185>

87745761599147955511215587118548126681672180734785553308095090896761207895057637645893998230080049198601083275437794963206650839840966453103193002599698714632177390689488998126726683456126874570683321464647285127<212>

351528108280990379212897717114648540327<39>
249612362516994752269818308793043998528286713844666712786369274575669822845386241019558033814267559710569027889717903257397659490671911048000775931125827952605421850135482401<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3343587098
Step 1 took 9563ms
Step 2 took 4078ms
********** Factor found in step 2: 351528108280990379212897717114648540327
Found prime factor of 39 digits: 351528108280990379212897717114648540327
Prime cofactor 249612362516994752269818308793043998528286713844666712786369274575669822845386241019558033814267559710569027889717903257397659490671911048000775931125827952605421850135482401 has 174 digits

GMP-ECM

1014731607175190439714273079954659456330392465448635773335111922625259501189811682084017345358772855608271371364677436423056593344668166593226373135291186775595376587337782106914055931752752388834722746324746106443830437760941634182082417190800399503119<253>

12331225236604143820832333305122121173353740422097492058488136572727256124963466997129362613365347147290192094555177104359381890772396090435491339201389256806167193475927795439909842645338257442182662154653416262182721240683926044610278588849202792839<251>

15128501764661440151241120518617120431834631<44>
815098905921309755232366862920204352049823292930802456172538513765173447311258031066811239758692824065984995969129782369194860368194807550013606288650529025855581906668128949209166586751633174926448035594369<207>

15128501764661440151241120518617120431834631

P-1 B1=1e9 B2=1e12

GMP-ECM 7.0.6 dev

1080 ti for stage 1

132793451758969000348310693138279345175896900034831069313827934517589690003483106931382793451758969000348310693138279345175896900034831069313827934517589690003483106931382793451758969000348310693138279345175896900034831069313827934517589690003483106931382793451758969<267>

1957222421040119736121107070984421348158158652177223838560279143898954788625793946950385782867834360187465805172928181109387266985685234022032473644680630031146347875113198167475002926907702142975163740109024354790751631011454006413120362269<241>

3639119901148359948868943345343097722960519202233219948229573696177835717922873891185941337123316661339478228528883732801199707804096986865426729345984633165630849287765760556323488167884925539487704556209791207099315270670188599024541407110403<244>

1323698491321960824303244262720353665951673<43>
2749206050324962788468459390576827349261652516452086805247322753703763790566020046179594455761729133361697219236244107297775343302185092517980528911921055196260858715031369955704013609911421660188154011<202>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3423693667
Step 1 took 11375ms
Step 2 took 1390ms
********** Factor found in step 2: 1323698491321960824303244262720353665951673
Found prime factor of 43 digits: 1323698491321960824303244262720353665951673
Prime cofactor 2749206050324962788468459390576827349261652516452086805247322753703763790566020046179594455761729133361697219236244107297775343302185092517980528911921055196260858715031369955704013609911421660188154011 has 202 digits

GMP-ECM

3444357977982287635712528406278573661450465904183867345401245931841801752153702121279837939678113409236780386291981716664145671331435401183047883845701248392843875119908680463904015606794653348779521120157771228047247108927116768019355192557126563<247>

149638350184044241313893794934247387<36>

23017882606604382464306461048411224115732631432363496543045856713656455058291095537821163876866438457171807545902826156730292164613696091632694381733706840654297535159574530300970746290846587784243098258483685849<212>

Resuming ECM residue saved by @7010baa7d46f with GMP-ECM 7.0.5-dev on Thu Jul 13 20:47:05 2023 
Input number is 3444357977982287635712528406278573661450465904183867345401245931841801752153702121279837939678113409236780386291981716664145671331435401183047883845701248392843875119908680463904015606794653348779521120157771228047247108927116768019355192557126563 (247 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2855555816
Step 1 took 0ms
Step 2 took 6063ms
********** Factor found in step 2: 149638350184044241313893794934247387
Found prime factor of 36 digits: 149638350184044241313893794934247387
Composite cofactor 23017882606604382464306461048411224115732631432363496543045856713656455058291095537821163876866438457171807545902826156730292164613696091632694381733706840654297535159574530300970746290846587784243098258483685849 has 212 digits

4182359691628890009870868189042118577438900389011269884158318507304803520452539247358413425520876466938490000501546479324384704424048633343421059519011011359890999370478852228043270792257853408364583254003<205>

118585818542132430324887220264136404539273638479273327252081159698452450674172225549451336610640401081050558591135249552576812728955673134267045386726043719957516378298620032181915103817164548246754339851578272459456539474173613957520007493343459894386136159373<261>

24771551070751513306237642244743704273747178398505741054676157370723853635966641800902483646065637690546831746232238960318671628903777159609812172191161133725506783701443455336714739394511170069027023504352223452190646535208837008002071908775197702967368671307279704241<269>

4410691898013183386283096656300227621665719816929341966405747950283217728491312441512996223127709213991600425276078394588484453141715708846193692110847433297256823709707443034884493674036439409205515089351819608006927469137457482853454046144134560048731151995662466007<268>

71051076765866480056682429983297917731956448946645308500107338974533120478411762631845209299223497391430822662668783767564581609445021962393930761682239184000704107941002571644357743413391615047616757961562051100764735843415674447061910889236733825027141<254>

83201750548053941750152234330435118659754100998201107226872308097958409735463334551242341996161852341528659500737692700970571941957259295510509259160587977693750791755725122188707312734452765453557086743070714492688058960433096099823318396963451150571<251>

1543338186329909228687128883983280660996781126002495205191803907563548298195646831913605838698034953647793174690975436524433251442865689743897907805792785364776865511704715535334297524874781498466219561333712743652905483280750528565219<235>

8820916718984075295251024416374869700294492486699937589845790186225635654379965428510427908526382108255449522479472376103832265916370151369071654521973087929290572124018980275193583069132745974315808898120555158836931543252367060935177896152699<244>

140577377853181138427077926316103623941699352243379401429932556689420592080339372250316981782747987923657129140162659809061610086310220524075874293622379136436219625675507638747485786328518790894315488058158822170457663653940531265865934898370007267086893034055868319<267>

280044507687008809721989697832435670331841206727542702168413138033820873361271136670616023692364598434828164522684936364479554260939052272296976281161711179360351671022624687811335801035699831585385382730575001912597190215730660968845683821388548207225562620342173273<267>

1169059826298151387606563590477863822199661606891816947971613769079935084834275022139721322434185045586726385872819321729466202307808865799780254291258161304226152950516031620148239616128591970836562028430800690631850409151838485287332300596349934097248867<256>

102622235474628674158313830605971044907821332511859592126687903389801221858501382436425881183238718188095387543010633551897156165574187648301943631813325017910536285304383378247849912262955802187784194916714470544982717482950857123853447640088294269686989502551<261>

4696557269715723955821536661066834986144965929045994435234961443873095313702122056249981118575542058985854337049168746380795871161577437690633435419026969102717702918567178151530710713328532056127969933916598261093341304847925798201<232>

67954066994469996837698406247403933659<38>

69113703968563396762199213993990232830693145139514865105534296564312179056865848329778929405846840361619061936770850660674344615893686704112809423168478328331952235278082138476305616383889884539<194>

Resuming ECM residue saved by @7010baa7d46f with GMP-ECM 7.0.5-dev on Thu Jul 13 21:03:24 2023 
Input number is 4696557269715723955821536661066834986144965929045994435234961443873095313702122056249981118575542058985854337049168746380795871161577437690633435419026969102717702918567178151530710713328532056127969933916598261093341304847925798201 (232 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4083475306
Step 1 took 0ms
Step 2 took 6188ms
********** Factor found in step 2: 67954066994469996837698406247403933659
Found prime factor of 38 digits: 67954066994469996837698406247403933659
Composite cofactor 69113703968563396762199213993990232830693145139514865105534296564312179056865848329778929405846840361619061936770850660674344615893686704112809423168478328331952235278082138476305616383889884539 has 194 digits

4078809027428637837026667261810983661680162992272504425262996834151861263680194246537072934303805704968807382046036528526793815556060403885342833809503347312358481234561830965154682625408401840132658588071780506990331324409<223>

1496291670346236729258393454114780640237244034394883461573394265979249701944408784905184805298088105169413803451189786716792732786118504866065750048567349564817028414108219267596490341242781239271268622394891597952260582247578944182670623655401113<247>

233457553591743734259010362510192840084215933<45>

6409266469753469293775263047525361203737508346846452359017683005003768593745862264503014007534381094343972008943746080053316136449367460855375780201747248623766387548556038849835150241508504195434032461<202>

Resuming ECM residue saved by @7010baa7d46f with GMP-ECM 7.0.5-dev on Thu Jul 13 21:10:47 2023 
Input number is 1496291670346236729258393454114780640237244034394883461573394265979249701944408784905184805298088105169413803451189786716792732786118504866065750048567349564817028414108219267596490341242781239271268622394891597952260582247578944182670623655401113 (247 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:356975525
Step 1 took 0ms
Step 2 took 6332ms
********** Factor found in step 2: 233457553591743734259010362510192840084215933
Found prime factor of 45 digits: 233457553591743734259010362510192840084215933
Composite cofactor 6409266469753469293775263047525361203737508346846452359017683005003768593745862264503014007534381094343972008943746080053316136449367460855375780201747248623766387548556038849835150241508504195434032461 has 202 digits

4000104920784807470359878291889623334382541181408036932116252229566677158745147413702654495855629000104920784807470359878291889623334382541181408036932116252229566677158745147413702654495855629000104920784807470359878291889623334382541181408036932116252229566677158745147413702654495855629<289>

265499113618452774054913509956360654961976833902317278051956404374859216316714351381730612260431765893623075871009113696998015811781687923669161649789950057545616460004349116323360666223604698554169380644773436554366863078463492488209170174240233527<249>

423611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<294>

349649277382965859401570350235287085299536033<45>

1211531493162892802549441896965065143155274866210719689514062119135113959910534101693620791167268944319806493277056395581175669457432987316861058952269158783935445401637622091037207711835206327070642614060175242095245179381223618140099666274941739367<250>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3985597941
Step 1 took 15468ms
Step 2 took 5954ms
********** Factor found in step 2: 349649277382965859401570350235287085299536033
Found prime factor of 45 digits: 349649277382965859401570350235287085299536033
Composite cofactor 1211531493162892802549441896965065143155274866210719689514062119135113959910534101693620791167268944319806493277056395581175669457432987316861058952269158783935445401637622091037207711835206327070642614060175242095245179381223618140099666274941739367 has 250 digits

GMP-ECM

1211531493162892802549441896965065143155274866210719689514062119135113959910534101693620791167268944319806493277056395581175669457432987316861058952269158783935445401637622091037207711835206327070642614060175242095245179381223618140099666274941739367<250>

1865346629390062810544508705947050323233<40>

649494026511867857851288973534041453408000587964428245281587329132590556650377751564131576413521647380015106560272861649511694643337029870961286171387097789930751048942970808634058810746861310673553748012152199<210>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2496194355
Step 1 took 8844ms
Step 2 took 3016ms
********** Factor found in step 2: 1865346629390062810544508705947050323233
Found prime factor of 40 digits: 1865346629390062810544508705947050323233
Composite cofactor 649494026511867857851288973534041453408000587964428245281587329132590556650377751564131576413521647380015106560272861649511694643337029870961286171387097789930751048942970808634058810746861310673553748012152199 has 210 digits
 

GMP-ECM

2517000066019673862811117713078497392222882418960850333399353007196144451046411830725556215752294183666732686340529477784379745164058889549085627517000066019673862811117713078497392222882418960850333399353007196144451046411830725556215752294183666732686340529477784379745164058889549085627517<292>