291237144139748071965372633519426017635617024216668225081304912567149475174824975513003398548373165157<102>

576855163288797970426847394160113125135661857<45>
504870481663596554361603375706170029168990481222415176901<57>

N=291237144139748071965372633519426017635617024216668225081304912567149475174824975513003398548373165157
  ( 102 digits)
SNFS difficulty: 112 digits.
Divisors found:
p45 factor: 576855163288797970426847394160113125135661857
p57 factor: 504870481663596554361603375706170029168990481222415176901
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.88 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 291237144139748071965372633519426017635617024216668225081304912567149475174824975513003398548373165157
m: 1000000000000000000000000000
deg: 4
c4: 20225
c0: -2
skew: 0.10
# Murphy_E = 8.656e-08
type: snfs
lss: 1
rlim: 520000
alim: 520000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 520000/520000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [260000, 580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 47857 x 48083
Total sieving time: 0.86 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,112.000,4,0,0,0,0,0,0,0,0,520000,520000,25,25,45,45,2.2,2.2,20000
total time: 0.88 hours.
 --------- CPU info (if available) ----------

2913189373640431804005562360967587021042895177350604684632637543870435371823517723082182761808213777841927<106>

1247662785014557840029918055744978543618695223<46>
2334917261803589382547088964036236169315285237846738881712049<61>

N=2913189373640431804005562360967587021042895177350604684632637543870435371823517723082182761808213777841927
  ( 106 digits)
SNFS difficulty: 114 digits.
Divisors found:
p46 factor: 1247662785014557840029918055744978543618695223
p61 factor: 2334917261803589382547088964036236169315285237846738881712049
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2913189373640431804005562360967587021042895177350604684632637543870435371823517723082182761808213777841927
m: 10000000000000000000000000000
deg: 4
c4: 809
c0: -8
skew: 0.32
# Murphy_E = 6.751e-08
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2

Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 58717 x 58942
Total sieving time: 1.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,20000
total time: 1.03 hours.
 --------- CPU info (if available) ----------

112361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<117>

5093583385456670956331736628826820292584312762221014717933<58>
22059344592635396528399226630066828936034546166182523531267<59>

N=112361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 117 digits)
SNFS difficulty: 117 digits.
Divisors found:
p58 factor: 5093583385456670956331736628826820292584312762221014717933
p59 factor: 22059344592635396528399226630066828936034546166182523531267
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.67 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 112361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 50000000000000000000000000000
deg: 4
c4: 809
c0: -5
skew: 0.28
# Murphy_E = 4.408e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 570001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59086 x 59311
Total sieving time: 1.64 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 1.67 hours.
 --------- CPU info (if available) ----------

947186919321059534193554627715802646413953535209086496764210564397477953735298446540472933355885042171<102>

4661925450297467651984819927213555473<37>
203175046323536025275090005124682867647150432183479714820957642827<66>

N=947186919321059534193554627715802646413953535209086496764210564397477953735298446540472933355885042171
  ( 102 digits)
SNFS difficulty: 123 digits.
Divisors found:
p37 factor: 4661925450297467651984819927213555473
p66 factor: 203175046323536025275090005124682867647150432183479714820957642827
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.50 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 947186919321059534193554627715802646413953535209086496764210564397477953735298446540472933355885042171
m: 1000000000000000000000000000000
deg: 4
c4: 4045
c0: -4
skew: 0.18
# Murphy_E = 2.579e-08
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 775001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 76313 x 76539
Total sieving time: 1.47 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,123.000,4,0,0,0,0,0,0,0,0,800000,800000,25,25,46,46,2.2,2.2,75000
total time: 1.50 hours.
 --------- CPU info (if available) ----------

700251010157301152027068650287921645270734469476880986740549206744216682052848181562887<87>

1906747214274830583333757845112139311<37>
367249001291248193098686715212560281488635401928617<51>

prp51 = 367249001291248193098686715212560281488635401928617
prp37 = 1906747214274830583333757845112139311

Yafu

3833941386416405143240476063763077414495923699153014434711361128654944415859035019082659378870858598420022304506984132733<121>

2275935828525022692252975911424959508485759<43>
1684556013559084852084302589918562993628123827189052285145854847432672492016387<79>

Number: 89888_132
N = 3833941386416405143240476063763077414495923699153014434711361128654944415859035019082659378870858598420022304506984132733 (121 digits)
SNFS difficulty: 135 digits.
Divisors found:
r1=2275935828525022692252975911424959508485759 (pp43)
r2=1684556013559084852084302589918562993628123827189052285145854847432672492016387 (pp79)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 3.19 hours.
Factorization parameters were as follows:
n: 3833941386416405143240476063763077414495923699153014434711361128654944415859035019082659378870858598420022304506984132733
m: 1000000000000000000000000000000000
deg: 4
c4: 809
c0: -8
skew: 0.32
# Murphy_E = 7.431e-09
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 3263055
Relations: 299784 relations
Pruned matrix : 182710 x 182938
Polynomial selection time: 0.00 hours.
Total sieving time: 3.12 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: snfs,135,4,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,100000
total time: 3.19 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

284147592579744429402410244706772448757014577310393888641113401358263753725130005657331107992659872702739562870433<114>

2172975160477056174395843280874609350660214268724396811<55>
130764307732520287534264003443168070917532168708089036880003<60>

Number: 89888_133
N = 284147592579744429402410244706772448757014577310393888641113401358263753725130005657331107992659872702739562870433 (114 digits)
SNFS difficulty: 136 digits.
Divisors found:
r1=2172975160477056174395843280874609350660214268724396811 (pp55)
r2=130764307732520287534264003443168070917532168708089036880003 (pp60)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 3.38 hours.
Factorization parameters were as follows:
n: 284147592579744429402410244706772448757014577310393888641113401358263753725130005657331107992659872702739562870433
m: 1000000000000000000000000000000000
deg: 4
c4: 4045
c0: -4
skew: 0.18
# Murphy_E = 6.746e-09
type: snfs
lss: 1
rlim: 1270000
alim: 1270000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1270000/1270000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 3203226
Relations: 317680 relations
Pruned matrix : 193852 x 194078
Polynomial selection time: 0.00 hours.
Total sieving time: 3.30 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,136,4,0,0,0,0,0,0,0,0,1270000,1270000,26,26,47,47,2.3,2.3,100000
total time: 3.38 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

1728917326770573274899161003561058810027449607969281112185974021626250141328974034831<85>

637445706981749589721275949333765917732449<42>
2712258170122201637614468265889885655796719<43>

03/16/22 22:57:50, starting SIQS on c85: 1728917326770573274899161003561058810027449607969281112185974021626250141328974034831
03/16/22 22:57:50, random seed: 15970597860456820375
03/16/22 22:57:50, ==== sieve params ====
03/16/22 22:57:50, n = 86 digits, 285 bits
03/16/22 22:57:50, factor base: 59824 primes (max prime = 1580801)
03/16/22 22:57:50, single large prime cutoff: 150176095 (95 * pmax)
03/16/22 22:57:50, double large prime range from 2498931801601 to 522253612904411
03/16/22 22:57:50, DLP MFB = 1.80
03/16/22 22:57:50, allocating 7 large prime slices of factor base
03/16/22 22:57:50, buckets hold 2048 elements
03/16/22 22:57:50, large prime hashtables have 802816 bytes
03/16/22 22:57:50, using AVX2 enabled 32k sieve core
03/16/22 22:57:50, sieve interval: 7 blocks of size 32768
03/16/22 22:57:50, polynomial A has ~ 11 factors
03/16/22 22:57:50, using multiplier of 23
03/16/22 22:57:50, using multiplier of 23
03/16/22 22:57:50, using Q2(x) polynomials for kN mod 8 = 1
03/16/22 22:57:50, using SPV correction of 20 bits, starting at offset 33
03/16/22 22:57:50, trial factoring cutoff at 89 bits
03/16/22 22:57:50, ==== sieving started ( 8 threads) ====
03/16/22 22:58:58, trial division touched 22345143 sieve locations out of 136079605760
03/16/22 22:58:58, total reports = 22345143, total surviving reports = 5657883
03/16/22 22:58:58, total blocks sieved = 4152820, avg surviving reports per block = 1.36
03/16/22 22:58:58, dlp-ecm: 4 failures, 383546 attempts, 2881567 outside range, 2140807 prp, 364779 useful
03/16/22 22:58:58, 61051 relations found: 19987 full + 41064 from 596755 partial, using 296630 polys (585 A polys)
03/16/22 22:58:58, on average, sieving found 2.08 rels/poly and 9114.95 rels/sec
03/16/22 22:58:58, trial division touched 22345143 sieve locations out of 136079605760
03/16/22 22:58:58, ==== post processing stage (msieve-1.38) ====
03/16/22 22:58:58, QS elapsed time = 67.6627 seconds.
03/16/22 22:58:58, begin singleton removal with 616742 relations
03/16/22 22:58:58, reduce to 129330 relations in 9 passes
03/16/22 22:59:00, recovered 129330 relations
03/16/22 22:59:00, recovered 104946 polynomials
03/16/22 22:59:00, attempting to build 61051 cycles
03/16/22 22:59:00, found 61051 cycles from 129330 relations in 5 passes
03/16/22 22:59:00, distribution of cycle lengths:
03/16/22 22:59:00,    length 1 : 19987
03/16/22 22:59:00,    length 2 : 15532
03/16/22 22:59:00,    length 3 : 11367
03/16/22 22:59:00,    length 4 : 6658
03/16/22 22:59:00,    length 5 : 3812
03/16/22 22:59:00,    length 6 : 1976
03/16/22 22:59:00,    length 7 : 930
03/16/22 22:59:00,    length 9+: 789
03/16/22 22:59:00, largest cycle: 16 relations
03/16/22 22:59:00, matrix is 59824 x 61051 (13.1 MB) with weight 2950171 (48.32/col)
03/16/22 22:59:00, sparse part has weight 2950171 (48.32/col)
03/16/22 22:59:00, filtering completed in 3 passes
03/16/22 22:59:00, matrix is 51768 x 51832 (11.1 MB) with weight 2507716 (48.38/col)
03/16/22 22:59:00, sparse part has weight 2507716 (48.38/col)
03/16/22 22:59:00, saving the first 48 matrix rows for later
03/16/22 22:59:01, matrix is 51720 x 51832 (9.4 MB) with weight 2156110 (41.60/col)
03/16/22 22:59:01, sparse part has weight 1942594 (37.48/col)
03/16/22 22:59:01, matrix includes 64 packed rows
03/16/22 22:59:01, using block size 20732 for processor cache size 12288 kB
03/16/22 22:59:01, commencing Lanczos iteration
03/16/22 22:59:01, memory use: 7.8 MB
03/16/22 22:59:06, lanczos halted after 819 iterations (dim = 51719)
03/16/22 22:59:06, recovered 16 nontrivial dependencies
03/16/22 22:59:06, prp42 = 637445706981749589721275949333765917732449
03/16/22 22:59:06, prp43 = 2712258170122201637614468265889885655796719
03/16/22 22:59:06, Lanczos elapsed time = 7.8810 seconds.
03/16/22 22:59:06, Sqrt elapsed time = 0.0610 seconds.
03/16/22 22:59:06, SIQS elapsed time = 75.5965 seconds.

5707564704018139877888326910519578938647809968938254237674270878082372805986072216455533790219<94>

891176676132082456633787174656850641<36>
6404526573552531209285303536505422143724775057682015506459<58>

prp58 = 6404526573552531209285303536505422143724775057682015506459
prp36 = 891176676132082456633787174656850641

Yafu

262055887971763268373726073857353892418555223848693937535688587328463219994063530321039<87>

639551630736100246686247563335122284599<39>
409749385941126667604497035894291452502390739561<48>

prp39 = 639551630736100246686247563335122284599
prp48 = 409749385941126667604497035894291452502390739561

Yafu

5686088732869361740804663154841931237035399793699214236901993640684855743470331291576488532508989935092534598410794076747787<124>

63767509713016585942366597245878900381931767561357<50>
89169057384542728065150454852339544600473751165285087872593707038906399991<74>

Number: 89888_140
N = 5686088732869361740804663154841931237035399793699214236901993640684855743470331291576488532508989935092534598410794076747787 (124 digits)
SNFS difficulty: 143 digits.
Divisors found:
r1=63767509713016585942366597245878900381931767561357 (pp50)
r2=89169057384542728065150454852339544600473751165285087872593707038906399991 (pp74)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 7.39 hours.
Factorization parameters were as follows:
n: 5686088732869361740804663154841931237035399793699214236901993640684855743470331291576488532508989935092534598410794076747787
m: 100000000000000000000000000000000000
deg: 4
c4: 809
c0: -8
skew: 0.32
# Murphy_E = 2.971e-09
type: snfs
lss: 1
rlim: 1690000
alim: 1690000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1690000/1690000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 4025714
Relations: 395902 relations
Pruned matrix : 240770 x 240995
Polynomial selection time: 0.00 hours.
Total sieving time: 7.34 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: snfs,143,4,0,0,0,0,0,0,0,0,1690000,1690000,26,26,48,48,2.3,2.3,100000
total time: 7.39 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

2024406115498756669317701224434473701949824582923982805308648662593752423427940537335915903261156886372508881755152327649<121>

158450134821629962005260253832834355581<39>
12776297841448133829162823123384660548522676211742919206524069765369491449371371829<83>

Number: 89888_143
N = 2024406115498756669317701224434473701949824582923982805308648662593752423427940537335915903261156886372508881755152327649 (121 digits)
SNFS difficulty: 146 digits.
Divisors found:
r1=158450134821629962005260253832834355581 (pp39)
r2=12776297841448133829162823123384660548522676211742919206524069765369491449371371829 (pp83)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.59 hours.
Factorization parameters were as follows:
n: 2024406115498756669317701224434473701949824582923982805308648662593752423427940537335915903261156886372508881755152327649
m: 500000000000000000000000000000000000
deg: 4
c4: 809
c0: -5
skew: 0.28
# Murphy_E = 1.892e-09
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1880000/1880000
Large primes per side: 3
Large prime bits: 26/26
Sieved rational special-q in [0, 0)
Total raw relations: 4439364
Relations: 438318 relations
Pruned matrix : 279049 x 279274
Polynomial selection time: 0.00 hours.
Total sieving time: 8.52 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: snfs,146,4,0,0,0,0,0,0,0,0,1880000,1880000,26,26,49,49,2.3,2.3,100000
total time: 8.59 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, Msieve

263134613032741882183347254422873260839584813262244704131311002344467602892464136931479616662633453809304491958293976982063912112388728861411<141>

595385662093430368962073803633079382844738919<45>
441956583414415034283645396248781444388806914155575542730151377289608290293704232113942329804069<96>

Number: n
N=263134613032741882183347254422873260839584813262244704131311002344467602892464136931479616662633453809304491958293976982063912112388728861411  ( 141 digits)
SNFS difficulty: 146 digits.
Divisors found:

Sun Mar 20 14:09:38 2022  p45 factor: 595385662093430368962073803633079382844738919
Sun Mar 20 14:09:38 2022  p96 factor: 441956583414415034283645396248781444388806914155575542730151377289608290293704232113942329804069
Sun Mar 20 14:09:38 2022  elapsed time 00:03:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 809x10^144-8 = 898(144)
#
n: 263134613032741882183347254422873260839584813262244704131311002344467602892464136931479616662633453809304491958293976982063912112388728861411
m: 1000000000000000000000000000000000000
deg: 4
c4: 809
c0: -8
skew: 0.32
# Murphy_E = 1.866e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 13785000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1225105 hash collisions in 10893428 relations (10404076 unique)
Msieve: matrix is 463635 x 463883 (52.6 MB)

Sieving start time : 2022/03/20 12:36:15
Sieving end time  : 2022/03/20 13:58:41

Total sieving time: 1hrs 22min 26secs.
Total relation processing time: 0hrs 1min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 10sec.

Prototype def-par.txt line would be:
snfs,146,4,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

943459254501225578268384314081860994218839823062847432841845790927246745775938478467270067988187649<99>

5959029052592691838632936126197609792813<40>
158324325351415998227547219049704344865805836218036726187173<60>

prp60 = 158324325351415998227547219049704344865805836218036726187173
prp40 = 5959029052592691838632936126197609792813

Yafu

2150358718362412972307730019736064117888288520989091227353248547328198419151163973608966416441194670973317885486000565321275353<127>

23242075674264266137230320480596166671319<41>
92520080757825134682487750917692839495904944339608226794966623799808813238859797697487<86>

N=2150358718362412972307730019736064117888288520989091227353248547328198419151163973608966416441194670973317885486000565321275353
  ( 127 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=23242075674264266137230320480596166671319 (pp41)
 r2=92520080757825134682487750917692839495904944339608226794966623799808813238859797697487 (pp86)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.67 hours.
Scaled time: 114.61 units (timescale=7.813).
Factorization parameters were as follows:
n: 2150358718362412972307730019736064117888288520989091227353248547328198419151163973608966416441194670973317885486000565321275353
m: 5000000000000000000000000000000000000
deg: 4
c4: 809
c0: -5
skew: 0.28
# Murphy_E = 1.185e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 370632 x 370860
Total sieving time: 14.60 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,149.000,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 14.67 hours.

GNFS, Msieve

358890747095521873643440815852901615450198642422723432769841506154352559383375084194080462648240548882461758375160077004426965068210545927<138>

198812084557028948853345445322564557163<39>

1805175716029347300881511188402870192494074699988011929343339557449870543464613201259136150327721429<100>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2551812066
Step 1 took 3391ms
Step 2 took 2516ms
********** Factor found in step 2: 198812084557028948853345445322564557163
Found prime factor of 39 digits: 198812084557028948853345445322564557163
Composite cofactor 1805175716029347300881511188402870192494074699988011929343339557449870543464613201259136150327721429 has 100 digits

GMP-ECM

1805175716029347300881511188402870192494074699988011929343339557449870543464613201259136150327721429<100>

702240296308110743544775472426893003598849<42>
2570595457879163378288305461632927661097469433853399294421<58>

N=1805175716029347300881511188402870192494074699988011929343339557449870543464613201259136150327721429
  ( 100 digits)
Divisors found:
p42 factor: 702240296308110743544775472426893003598849
p58 factor: 2570595457879163378288305461632927661097469433853399294421
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.90 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1805175716029347300881511188402870192494074699988011929343339557449870543464613201259136150327721429
skew: 592848.16
c0: 328804566649847563183224129
c1: 442523771268790573141
c2: -6008807964491272
c3: 4670373118
c4: 9660
Y0: -657484374520775151691460
Y1: 1916428719497
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 : 231384 x 231612
Total sieving time: 2.80 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 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: 2.90 hours.
 --------- CPU info (if available) ----------

99797558983545572968314115740550151655566754462765637403061726058950947644124080543461810937465289085895119417544489375021<122>

5888490721649889607045905809687440069949<40>
16947901202701293704804623315144790687760495717387077114384538793365988144456228529<83>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2589958777
Step 1 took 4828ms
Step 2 took 2860ms
********** Factor found in step 2: 5888490721649889607045905809687440069949
Found prime factor of 40 digits: 5888490721649889607045905809687440069949
Prime cofactor 16947901202701293704804623315144790687760495717387077114384538793365988144456228529 has 83 digits
 

GMP-ECM

191482279774761305322935802777921148062202875499324976331229958537371769146977628216396288931816655423881241206478757<117>

94107475304908987324245619800446865604739<41>
2034719124642937848866757108150304295702931012305508625308521281208966151863<76>

N=191482279774761305322935802777921148062202875499324976331229958537371769146977628216396288931816655423881241206478757
  ( 117 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=94107475304908987324245619800446865604739 (pp41)
 r2=2034719124642937848866757108150304295702931012305508625308521281208966151863 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 19.29 hours.
Scaled time: 151.92 units (timescale=7.874).
Factorization parameters were as follows:
n: 191482279774761305322935802777921148062202875499324976331229958537371769146977628216396288931816655423881241206478757
m: 10000000000000000000000000000000
deg: 5
c5: 101125
c0: -1
skew: 0.10
# Murphy_E = 4.356e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1600000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 606392 x 606620
Total sieving time: 19.17 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,51,51,2.4,2.4,100000
total time: 19.29 hours.

GNFS, Msieve

695471742493578200621360815947334904788102892783222777312287135355938912370659810183441778440322025087769628656229647097690453723893<132>

533078629372189061377725307572792204608810658878807<51>
1304632570457083975092405461097861019181255027319794226213877132210416670022846099<82>

N=695471742493578200621360815947334904788102892783222777312287135355938912370659810183441778440322025087769628656229647097690453723893
  ( 132 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=533078629372189061377725307572792204608810658878807 (pp51)
 r2=1304632570457083975092405461097861019181255027319794226213877132210416670022846099 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 28.41 hours.
Scaled time: 223.50 units (timescale=7.868).
Factorization parameters were as follows:
n: 695471742493578200621360815947334904788102892783222777312287135355938912370659810183441778440322025087769628656229647097690453723893
m: 100000000000000000000000000000000
deg: 5
c5: 20225
c0: -2
skew: 0.16
# Murphy_E = 2.817e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1900000, 4300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 761402 x 761627
Total sieving time: 28.23 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 28.41 hours.

GNFS, Msieve

5487587638137999006076188594483787042656625238139393843679656571012362393476230788321291948946614642501686911572658988696687875138782854993708902007970369269<157>

130851468997038387568778338510076360021261944560846017759453<60>
41937531769415609094149666930817459872284082331039174118543262861834916144535175701639245211316473<98>

Number: n
N=5487587638137999006076188594483787042656625238139393843679656571012362393476230788321291948946614642501686911572658988696687875138782854993708902007970369269  ( 157 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Mar 19 21:22:32 2022  p60 factor: 130851468997038387568778338510076360021261944560846017759453
Sat Mar 19 21:22:32 2022  p98 factor: 41937531769415609094149666930817459872284082331039174118543262861834916144535175701639245211316473
Sat Mar 19 21:22:32 2022  elapsed time 00:09:41 (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 = 809x10^164-8 = 898(164)
#
n: 5487587638137999006076188594483787042656625238139393843679656571012362393476230788321291948946614642501686911572658988696687875138782854993708902007970369269
m: 500000000000000000000000000000000
deg: 5
c5: 1618
c0: -5
skew: 0.31
# Murphy_E = 2.807e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 22100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1959841 hash collisions in 15603301 relations (14543928 unique)
Msieve: matrix is 594962 x 595187 (202.2 MB)

Sieving start time : 2022/03/19 19:13:32
Sieving end time  : 2022/03/19 21:12:12

Total sieving time: 1hrs 58min 40secs.

Total relation processing time: 0hrs 5min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 36sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

17998644940300540211425181491565538530801997182385683059607409145364801883322676360242248412246582644314709218796554652507235347314336290114177<143>

3293794796567161813870746160856837344261<40>
5464409913774523910261085640394825499775103150561269989153031199963474970962741840197268285863381633357<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:230088882
Step 1 took 5657ms
Step 2 took 3343ms
********** Factor found in step 2: 3293794796567161813870746160856837344261
Found prime factor of 40 digits: 3293794796567161813870746160856837344261
Prime cofactor 5464409913774523910261085640394825499775103150561269989153031199963474970962741840197268285863381633357 has 103 digits
 

GMP-ECM

3628063000035877013597388153410110142431743981630969038137265454023607074947081404943852473720087539913177627094320668747533455315179564453054927707817601262870878628063<169>

16394906532242069861408602699323131343478865070359982317962454610744789821<74>
221292081958562084346920257261840960546597359838567924941973400832054514836013828436598226646603<96>

Mon Mar 21 05:29:37 2022  Msieve v. 1.53 (SVN unknown)
Mon Mar 21 05:29:37 2022  random seeds: c13bbe00 c46e9b24
Mon Mar 21 05:29:37 2022  factoring 3628063000035877013597388153410110142431743981630969038137265454023607074947081404943852473720087539913177627094320668747533455315179564453054927707817601262870878628063 (169 digits)
Mon Mar 21 05:29:38 2022  searching for 15-digit factors
Mon Mar 21 05:29:39 2022  commencing number field sieve (169-digit input)
Mon Mar 21 05:29:39 2022  R0: -10000000000000000000000000000000000
Mon Mar 21 05:29:39 2022  R1: 1
Mon Mar 21 05:29:39 2022  A0: -4
Mon Mar 21 05:29:39 2022  A1: 0
Mon Mar 21 05:29:39 2022  A2: 0
Mon Mar 21 05:29:39 2022  A3: 0
Mon Mar 21 05:29:39 2022  A4: 0
Mon Mar 21 05:29:39 2022  A5: 4045
Mon Mar 21 05:29:39 2022  skew 0.25, size 2.126e-12, alpha 1.171, combined = 1.333e-10 rroots = 1
Mon Mar 21 05:29:39 2022  
Mon Mar 21 05:29:39 2022  commencing square root phase
Mon Mar 21 05:29:39 2022  reading relations for dependency 1
Mon Mar 21 05:29:39 2022  read 477228 cycles
Mon Mar 21 05:29:40 2022  cycles contain 1486204 unique relations
Mon Mar 21 05:29:53 2022  read 1486204 relations
Mon Mar 21 05:29:58 2022  multiplying 1486204 relations
Mon Mar 21 05:30:36 2022  multiply complete, coefficients have about 49.02 million bits
Mon Mar 21 05:30:37 2022  initial square root is modulo 10901431
Mon Mar 21 05:31:28 2022  GCD is 1, no factor found
Mon Mar 21 05:31:28 2022  reading relations for dependency 2
Mon Mar 21 05:31:28 2022  read 477701 cycles
Mon Mar 21 05:31:28 2022  cycles contain 1488780 unique relations
Mon Mar 21 05:31:42 2022  read 1488780 relations
Mon Mar 21 05:31:46 2022  multiplying 1488780 relations
Mon Mar 21 05:32:24 2022  multiply complete, coefficients have about 49.10 million bits
Mon Mar 21 05:32:24 2022  initial square root is modulo 11216281
Mon Mar 21 05:33:15 2022  sqrtTime: 216
Mon Mar 21 05:33:15 2022  p74 factor: 16394906532242069861408602699323131343478865070359982317962454610744789821
Mon Mar 21 05:33:15 2022  p96 factor: 221292081958562084346920257261840960546597359838567924941973400832054514836013828436598226646603
Mon Mar 21 05:33:15 2022  elapsed time 00:03:38
Mon Mar 21 05:33:15 2022 -> Computing time scale for this machine...
Mon Mar 21 05:33:15 2022 -> procrels -speedtest> PIPE
Mon Mar 21 05:33:17 2022 -> Factorization summary written to s174-89888_171.txt

23146607902092858491515935612671655988097848270729226528830304681231782704016834296174999296732234569292383533421882126737572079795907917769606824908666174688233788957<167>

590366680786093027497370803813120305228787739393829<51>
39207171839834141859650773798842997021036451767933868604458059793794014816281851180095457368208472992130393054209433<116>

Number: n
N=23146607902092858491515935612671655988097848270729226528830304681231782704016834296174999296732234569292383533421882126737572079795907917769606824908666174688233788957  ( 167 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Mar 22 10:18:53 2022  p51 factor: 590366680786093027497370803813120305228787739393829
Tue Mar 22 10:18:53 2022  p116 factor: 39207171839834141859650773798842997021036451767933868604458059793794014816281851180095457368208472992130393054209433
Tue Mar 22 10:18:53 2022  elapsed time 00:25:22 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 809x10^172-8 = 898(172)
#
n: 23146607902092858491515935612671655988097848270729226528830304681231782704016834296174999296732234569292383533421882126737572079795907917769606824908666174688233788957
m: 10000000000000000000000000000000000
deg: 5
c5: 20225
c0: -2
skew: 0.16
# Murphy_E = 1.135e-10
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 73200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1791907 hash collisions in 15617581 relations (14772841 unique)
Msieve: matrix is 1006103 x 1006329 (344.4 MB)

Sieving start time : 2022/03/22 01:45:03
Sieving end time  : 2022/03/22 09:52:22

Total sieving time: 8hrs 7min 19secs.

Total relation processing time: 0hrs 15min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 18sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

25980859595124487867731497521453459045112403598479114010759658521396624971172062756785357592995123063750517670248757318854310047429011093446918012886709868646167<161>

77613950181821325200481030475888116962938124392882863777907333684037963<71>
334744714503781346945971570824280292994930113419301717357493699078859249159398829694721509<90>

Number: n
N=25980859595124487867731497521453459045112403598479114010759658521396624971172062756785357592995123063750517670248757318854310047429011093446918012886709868646167  ( 161 digits)
SNFS difficulty: 175 digits.
Divisors found:

Wed Mar 23 00:16:15 2022  p71 factor: 77613950181821325200481030475888116962938124392882863777907333684037963
Wed Mar 23 00:16:15 2022  p90 factor: 334744714503781346945971570824280292994930113419301717357493699078859249159398829694721509
Wed Mar 23 00:16:15 2022  elapsed time 00:34:13 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 809x10^173-8 = 898(173)
#
n: 25980859595124487867731497521453459045112403598479114010759658521396624971172062756785357592995123063750517670248757318854310047429011093446918012886709868646167
m: 10000000000000000000000000000000000
deg: 5
c5: 101125
c0: -1
skew: 0.10
# Murphy_E = 1.121e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 80500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3437882 hash collisions in 30502340 relations (28864372 unique)
Msieve: matrix is 988445 x 988692 (323.1 MB)

Sieving start time : 2022/03/22 13:14:17
Sieving end time  : 2022/03/22 22:34:50

Total sieving time: 9hrs 20min 33secs.

Total relation processing time: 0hrs 14min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 32sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

112361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<177>

22404173369828528413111718496218997944822359713447852587487781948265235442380701<80>
5015186646539107420053592042328595313356849473821241690239768097850924521615359348518951172543411<97>

Number: n
N=112361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111  ( 177 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Mar 23 01:44:36 2022  p80 factor: 22404173369828528413111718496218997944822359713447852587487781948265235442380701
Wed Mar 23 01:44:36 2022  p97 factor: 5015186646539107420053592042328595313356849473821241690239768097850924521615359348518951172543411
Wed Mar 23 01:44:36 2022  elapsed time 00:20:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 809x10^175-8 = 898(175)
#
n: 112361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 100000000000000000000000000000000000
deg: 5
c5: 809
c0: -8
skew: 0.40
# Murphy_E = 1.157e-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, 8850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3812762 hash collisions in 30952475 relations (28248752 unique)
Msieve: matrix is 894621 x 894848 (304.9 MB)

Sieving start time : 2022/03/23 00:20:15
Sieving end time  : 2022/03/23 01:23:00

Total sieving time: 1hrs 2min 45secs.

Total relation processing time: 0hrs 12min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

4006435186474156412211379983822769206514554692186446350447375363646416255563214287049331653432114394862813091987404074537701855992543067706518116863134996593385760503901<169>

4474544047600586821751157064780157987001989<43>
12904613611844020438787995288858421576117543<44>
69384797998496117131114910941595162954645810240099596877438923788085110622835101663<83>

Number: n
N=4006435186474156412211379983822769206514554692186446350447375363646416255563214287049331653432114394862813091987404074537701855992543067706518116863134996593385760503901  ( 169 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Mar 24 00:27:39 2022  found factor: 69384797998496117131114910941595162954645810240099596877438923788085110622835101663
Thu Mar 24 00:28:39 2022  found factor: 69384797998496117131114910941595162954645810240099596877438923788085110622835101663
Thu Mar 24 00:30:37 2022  found factor: 69384797998496117131114910941595162954645810240099596877438923788085110622835101663
Thu Mar 24 00:33:33 2022  found factor: 69384797998496117131114910941595162954645810240099596877438923788085110622835101663
Thu Mar 24 00:34:32 2022  found factor: 69384797998496117131114910941595162954645810240099596877438923788085110622835101663
Thu Mar 24 00:35:30 2022  p43 factor: 4474544047600586821751157064780157987001989
Thu Mar 24 00:35:30 2022  p44 factor: 12904613611844020438787995288858421576117543
Thu Mar 24 00:35:30 2022  p83 factor: 69384797998496117131114910941595162954645810240099596877438923788085110622835101663
Thu Mar 24 00:35:30 2022  elapsed time 00:30:07 (Msieve 1.54 - dependency 10)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 809z10^179-8 = 898(179)
#
n: 4006435186474156412211379983822769206514554692186446350447375363646416255563214287049331653432114394862813091987404074537701855992543067706518116863134996593385760503901
m: 500000000000000000000000000000000000
deg: 5
c5: 1618
c0: -5
skew: 0.31
# Murphy_E = 7.077e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3655615 hash collisions in 30676208 relations (28813997 unique)
Msieve: matrix is 904901 x 905126 (308.4 MB)

Sieving start time : 2022/03/23 20:33:33
Sieving end time  : 2022/03/24 00:04:22

Total sieving time: 3hrs 30min 49secs.

Total relation processing time: 0hrs 12min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 49sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116231] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197524K/16727236K available (14339K kernel code, 2400K rwdata, 9500K rodata, 2752K init, 4948K bss, 529712K reserved, 0K cma-reserved)
[    0.154131] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798288)
[    0.152037] smpboot: Total of 16 processors activated (102386.30 BogoMIPS)

440743886564124899995306329235572139045246657606738720713990382419696659444488291066727939989701353212956989353434520663606219024884961302727382062164031<153>

40738873027887073019084778652317716191886588404918444093249<59>
10818755007346950641708542986792459272078100322458429907069460526867207905711353170629362382719<95>

Number: n
N=440743886564124899995306329235572139045246657606738720713990382419696659444488291066727939989701353212956989353434520663606219024884961302727382062164031  ( 153 digits)
SNFS difficulty: 183 digits.
Divisors found:

Thu Mar 31 12:56:24 2022  p59 factor: 40738873027887073019084778652317716191886588404918444093249
Thu Mar 31 12:56:24 2022  p95 factor: 10818755007346950641708542986792459272078100322458429907069460526867207905711353170629362382719
Thu Mar 31 12:56:24 2022  elapsed time 00:26:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 809x10^181-8 = 898(181)
#
n: 440743886564124899995306329235572139045246657606738720713990382419696659444488291066727939989701353212956989353434520663606219024884961302727382062164031
m: 1000000000000000000000000000000000000
deg: 5
c5: 4045
c0: -4
skew: 0.25
# Murphy_E = 5.281e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4106771 hash collisions in 31184695 relations (28794807 unique)
Msieve: matrix is 1039753 x 1039979 (353.6 MB)

Sieving start time : 2022/03/31 08:09:25
Sieving end time  : 2022/03/31 12:29:43

Total sieving time: 4hrs 20min 18secs.

Total relation processing time: 0hrs 17min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] 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, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

6926173438389851854567290140125884938771055245688349816978107528243354365405378808869844397371221224606267534573871935186615215885953445059<139>

277301621950505340390931674915187366942877553579043399<54>
24977039043882988539052570092081833734493837673424845610339469461479931576562103954341<86>

6926173438389851854567290140125884938771055245688349816978107528243354365405378808869844397371221224606267534573871935186615215885953445059=277301621950505340390931674915187366942877553579043399*24977039043882988539052570092081833734493837673424845610339469461479931576562103954341

cado polynomial
n: 6926173438389851854567290140125884938771055245688349816978107528243354365405378808869844397371221224606267534573871935186615215885953445059
skew: 0.16
type: snfs
c0: -2
c5: 20225
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 20225*x^5-2
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8300000
tasks.lim1 = 8300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 24977039043882988539052570092081833734493837673424845610339469461479931576562103954341 277301621950505340390931674915187366942877553579043399
Info:Square Root: Total cpu/real time for sqrt: 570.55/174.793
Info:Filtering - Singleton removal: Total cpu/real time for purge: 277.82/326.99
Info:Generate Free Relations: Total cpu/real time for freerel: 120.41/32.9476
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24542207
Info:Lattice Sieving: Average J: 1893.67 for 1813534 special-q, max bucket fill -bkmult 1.0,1s:1.152380
Info:Lattice Sieving: Total time: 307927s
Info:Linear Algebra: Total cpu/real time for bwc: 55682.2/14288.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 35662.43, WCT time 9104.55, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (57088 iterations)
Info:Linear Algebra: Lingen CPU time 359.19, WCT time 91.21
Info:Linear Algebra: Mksol: CPU time 19320.92,  WCT time 4951.15, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28672 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.53/117.743
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 117.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 397.92/393.982
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 319.1000000000001s
Info:Filtering - Merging: Merged matrix has 1824180 rows and total weight 310934496 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 473.03/131.551
Info:Filtering - Merging: Total cpu/real time for replay: 70.78/60.2215
Info:Generate Factor Base: Total cpu/real time for makefb: 3.56/1.98358
Info:Quadratic Characters: Total cpu/real time for characters: 66.41/28.0258
Info:Square Root: Total cpu/real time for sqrt: 570.55/174.793
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 631661/169373
Info:root: Cleaning up computation data in /tmp/cado.77uu87e7
24977039043882988539052570092081833734493837673424845610339469461479931576562103954341 277301621950505340390931674915187366942877553579043399

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)

31357153351354911428262872081859733648943174033434056467705531595008359877904720604815789488338517446487742307769218298568485655495555505162878305822232003510649433820786211<173>

47651212843452564097862564175604957<35>
37572094654383070609303095070798898904105343957511501<53>
17514480619759867896913215038650602122836422118080487563723640296610611733176629600123<86>

Number: n
N=31357153351354911428262872081859733648943174033434056467705531595008359877904720604815789488338517446487742307769218298568485655495555505162878305822232003510649433820786211  ( 173 digits)
SNFS difficulty: 185 digits.
Divisors found:

Sat Mar 26 00:33:08 2022  found factor: 37572094654383070609303095070798898904105343957511501
Sat Mar 26 00:34:40 2022  p35 factor: 47651212843452564097862564175604957
Sat Mar 26 00:34:40 2022  p53 factor: 37572094654383070609303095070798898904105343957511501
Sat Mar 26 00:34:40 2022  p86 factor: 17514480619759867896913215038650602122836422118080487563723640296610611733176629600123
Sat Mar 26 00:34:40 2022  elapsed time 00:32:09 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 809x10^183-8 = 898(183)
#
n: 31357153351354911428262872081859733648943174033434056467705531595008359877904720604815789488338517446487742307769218298568485655495555505162878305822232003510649433820786211
m: 1000000000000000000000000000000000000
deg: 5
c5: 101125
c0: -1
skew: 0.10
# Murphy_E = 4.432e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3739764 hash collisions in 30625901 relations (28646133 unique)
Msieve: matrix is 1095409 x 1095636 (379.5 MB)

Sieving start time : 2022/03/25 19:21:21
Sieving end time  : 2022/03/26 00:01:36
Total sieving time: 4hrs 40min 15secs.

Total relation processing time: 0hrs 19min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 36sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] 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, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

909077403612015344520222264483370317746779079640192613288944075813950011510692625323743044959808603328591856236524967051<120>

150768022194660554798338280679906673267089221245922251<54>
6029643357914993560321261107039834422227914710225108514071512244801<67>

909077403612015344520222264483370317746779079640192613288944075813950011510692625323743044959808603328591856236524967051=150768022194660554798338280679906673267089221245922251*6029643357914993560321261107039834422227914710225108514071512244801

cado polynomial
n: 909077403612015344520222264483370317746779079640192613288944075813950011510692625323743044959808603328591856236524967051
skew: 17157.57
c0: 1664825585718806590560445770
c1: 1035561989271025916744
c2: -36093945841755149601
c3: -1655160118304375
c4: 74990646642
c5: 276120
Y0: 68503601912026533039708
Y1: 3432585839865545653
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.463e-06
# f(x) = 276120*x^5+74990646642*x^4-1655160118304375*x^3-36093945841755149601*x^2+1035561989271025916744*x+1664825585718806590560445770
# g(x) = 3432585839865545653*x+68503601912026533039708

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

cado log (extracts)
Info:Square Root: Factors: 6029643357914993560321261107039834422227914710225108514071512244801 150768022194660554798338280679906673267089221245922251
Info:Square Root: Total cpu/real time for sqrt: 374.09/110.429
Info:Filtering - Singleton removal: Total cpu/real time for purge: 50.55/55.3832
Info:Generate Free Relations: Total cpu/real time for freerel: 126.83/33.1797
Info:Linear Algebra: Total cpu/real time for bwc: 4100.66/1068.62
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2488.58, WCT time 646.16, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (20992 iterations)
Info:Linear Algebra: Lingen CPU time 113.84, WCT time 28.95
Info:Linear Algebra: Mksol: CPU time 1433.19,  WCT time 370.7, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (10496 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13437983
Info:Lattice Sieving: Average J: 1897.59 for 245477 special-q, max bucket fill -bkmult 1.0,1s:1.250840
Info:Lattice Sieving: Total time: 30328.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.11/1.37028
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1624.71
Info:Polynomial Selection (root optimized): Rootsieve time: 1622.3
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.79/62.6104
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 62.5s
Info:Filtering - Merging: Merged matrix has 664360 rows and total weight 66960761 (100.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.86/15.9713
Info:Filtering - Merging: Total cpu/real time for replay: 16.06/12.6476
Info:Quadratic Characters: Total cpu/real time for characters: 20.35/7.84812
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20180/34.490/42.880/49.360/1.048
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16069/33.940/37.978/43.380/0.871
Info:Polynomial Selection (size optimized): Total time: 2248.08
Info:Square Root: Total cpu/real time for sqrt: 374.09/110.429
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 130.63/111.094
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.19999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 64928.9/17908.2
Info:root: Cleaning up computation data in /tmp/cado.skltx495
6029643357914993560321261107039834422227914710225108514071512244801 150768022194660554798338280679906673267089221245922251

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

2568825119586865099633462553204148887234220712418752881857643372302772611079841422966651464908370963078850503700313160489851319035558061082104098951791232790073513820250299669<175>

1263045050969270869690709130053143165683801263167341514189<58>
2033834911601552269301953608800337556585818383032355467892544632878412002096025732276917576569000300828468469789705321<118>

Number: n
N=2568825119586865099633462553204148887234220712418752881857643372302772611079841422966651464908370963078850503700313160489851319035558061082104098951791232790073513820250299669  ( 175 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Mar 28 18:31:01 2022  p58 factor: 1263045050969270869690709130053143165683801263167341514189
Mon Mar 28 18:31:01 2022  p118 factor: 2033834911601552269301953608800337556585818383032355467892544632878412002096025732276917576569000300828468469789705321
Mon Mar 28 18:31:01 2022  elapsed time 00:39:37 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 809x10^186-8 = 898(186)
#
n: 2568825119586865099633462553204148887234220712418752881857643372302772611079841422966651464908370963078850503700313160489851319035558061082104098951791232790073513820250299669
m: 10000000000000000000000000000000000000
deg: 5
c5: 4045
c0: -4
skew: 0.25
# Murphy_E = 3.302e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4017813 hash collisions in 30627048 relations (28284025 unique)
Msieve: matrix is 1252913 x 1253140 (433.1 MB)

Sieving start time : 2022/03/28 12:27:32
Sieving end time  : 2022/03/28 17:50:53

Total sieving time: 5hrs 23min 21secs.
Total relation processing time: 0hrs 27min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 38sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116282] 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, 9500K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153500] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.152037] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

100834467168192659278829387198097191055376097812344605382926016423495318893079610332419235602063943468623127636242886276236188058490309790849<141>

1303967952037561999735936541022378587672383575580709183879855843501<67>
77328945861460887678933494416411604675114591733352959807055287365878909349<74>

100834467168192659278829387198097191055376097812344605382926016423495318893079610332419235602063943468623127636242886276236188058490309790849=1303967952037561999735936541022378587672383575580709183879855843501*77328945861460887678933494416411604675114591733352959807055287365878909349

cado polynomial
n: 100834467168192659278829387198097191055376097812344605382926016423495318893079610332419235602063943468623127636242886276236188058490309790849
skew: 0.16
type: snfs
c0: -2
c5: 20225
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 20225*x^5-2
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 10000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 77328945861460887678933494416411604675114591733352959807055287365878909349 1303967952037561999735936541022378587672383575580709183879855843501
Info:Square Root: Total cpu/real time for sqrt: 721/221.794
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 455.75/460.527
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 376.3999999999999s
Info:Filtering - Merging: Merged matrix has 2274981 rows and total weight 387184269 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 612.25/169.331
Info:Filtering - Merging: Total cpu/real time for replay: 88.05/79.3096
Info:Linear Algebra: Total cpu/real time for bwc: 90065/23311.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 57586.31, WCT time 14812.32, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71168 iterations)
Info:Linear Algebra: Lingen CPU time 508.56, WCT time 129.56
Info:Linear Algebra: Mksol: CPU time 31180.2,  WCT time 8055.03, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 333.18/390.867
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 115.51/129.299
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 128.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.4/2.15055
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26993561
Info:Lattice Sieving: Average J: 1894.19 for 3016685 special-q, max bucket fill -bkmult 1.0,1s:1.166040
Info:Lattice Sieving: Total time: 560005s
Info:Quadratic Characters: Total cpu/real time for characters: 79.67/34.2926
Info:Square Root: Total cpu/real time for sqrt: 721/221.794
Info:Generate Free Relations: Total cpu/real time for freerel: 120.28/30.7859
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.13616e+06/193315
77328945861460887678933494416411604675114591733352959807055287365878909349 1303967952037561999735936541022378587672383575580709183879855843501

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

82017710053980818307413023255279602085170624341601314014664452439384554044592603383507636901212751038328818551763506107944736321809679310532732241<146>

761201008050006486806679656914660837771967<42>

107747768574411466018115865835373012553361672782681527502552121262228775046762442030946987184026899031023<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2982786881
Step 1 took 3219ms
Step 2 took 1718ms
********** Factor found in step 1: 761201008050006486806679656914660837771967
Found prime factor of 42 digits: 761201008050006486806679656914660837771967
Composite cofactor 107747768574411466018115865835373012553361672782681527502552121262228775046762442030946987184026899031023 has 105 digits

GMP-ECM

107747768574411466018115865835373012553361672782681527502552121262228775046762442030946987184026899031023<105>

39840515702611449035378795331825796243<38>
2704477255733636537677306449186196850058548462868584898793027041461<67>

N=107747768574411466018115865835373012553361672782681527502552121262228775046762442030946987184026899031023
  ( 105 digits)
Divisors found:
p38 factor: 39840515702611449035378795331825796243
p67 factor: 2704477255733636537677306449186196850058548462868584898793027041461
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 5.42 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 107747768574411466018115865835373012553361672782681527502552121262228775046762442030946987184026899031023
skew: 1509858.52
c0: 14665796700892060524118659030
c1: 31492197045759346091119
c2: -13537135241848496
c3: -18605364498
c4: 8820
Y0: -10513201829493596769380357
Y1: 3536246847773
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1250000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 240215 x 240442
Total sieving time: 5.32 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,104,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,52,52,2.5,2.5,150000
total time: 5.42 hours.
 --------- CPU info (if available) ----------

11651772390251916182551875348884129179991448327537197038382490778593867272025122438350144345251996437864972106101436292374144791130539722996051078157755838608481203<164>

27374051816335341562887013483464786631863863<44>
425650264287830920560946299435019216582629409931373205058348157502393861184270367410715408327090756403681827410226094181<120>

Number: n
N=11651772390251916182551875348884129179991448327537197038382490778593867272025122438350144345251996437864972106101436292374144791130539722996051078157755838608481203  ( 164 digits)
SNFS difficulty: 192 digits.
Divisors found:

Tue Apr  5 23:01:21 2022  p44 factor: 27374051816335341562887013483464786631863863
Tue Apr  5 23:01:21 2022  p120 factor: 425650264287830920560946299435019216582629409931373205058348157502393861184270367410715408327090756403681827410226094181
Tue Apr  5 23:01:21 2022  elapsed time 00:42:14 (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 = 809x10^190-8 = 898(190)
#
n: 11651772390251916182551875348884129179991448327537197038382490778593867272025122438350144345251996437864972106101436292374144791130539722996051078157755838608481203
m: 100000000000000000000000000000000000000
deg: 5
c5: 809
c0: -8
skew: 0.40
# Murphy_E = 2.832e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3858321 hash collisions in 34632487 relations (32095701 unique)
Msieve: matrix is 1314584 x 1314812 (456.2 MB)

Sieving start time : 2022/04/05 16:35:59
Sieving end time  : 2022/04/05 22:18:26

Total sieving time: 5hrs 42min 27secs.

Total relation processing time: 0hrs 29min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 8sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] 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)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

444823190535296813916817810284165200684373105077213782894064418983782964892538617066788338906065953789203931680198731464564497636213086805181915973838161336111365480322381883<174>

17688168801550709585536212466389614444991502091<47>
25148063404748798583231601040619353344868829434487442691649033099681423139042161345691913764195143119338660145382540595772301713<128>

Number: n
N=444823190535296813916817810284165200684373105077213782894064418983782964892538617066788338906065953789203931680198731464564497636213086805181915973838161336111365480322381883  ( 174 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Apr  4 08:26:37 2022  p47 factor: 17688168801550709585536212466389614444991502091
Mon Apr  4 08:26:37 2022  p128 factor: 25148063404748798583231601040619353344868829434487442691649033099681423139042161345691913764195143119338660145382540595772301713
Mon Apr  4 08:26:37 2022  elapsed time 01:01:34 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 809x10^191-8 = 898(191)
#
n: 444823190535296813916817810284165200684373105077213782894064418983782964892538617066788338906065953789203931680198731464564497636213086805181915973838161336111365480322381883
m: 100000000000000000000000000000000000000
deg: 5
c5: 4045
c0: -4
skew: 0.25
# Murphy_E = 2.055e-11
type: snfs
lss: 1
rlim: 11800000
alim: 11800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11800000/11800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4038146 hash collisions in 30205839 relations (27781360 unique)
Msieve: matrix is 1603576 x 1603801 (557.2 MB)

Sieving start time : 2022/04/04 00:25:08
Sieving end time  : 2022/04/04 07:24:28

Total sieving time: 6hrs 59min 20secs.

Total relation processing time: 0hrs 50min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 17sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11800000,11800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] 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)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

218349014958253109486664713117538199578052251101330227864676452297331337119016785720488523595296193413055323937770547172721862433854766032125061829286259863895771420255166654391890427<183>

61627620744273614665436599066016119927257985039564102111730334125611798205969<77>
3543038207888983147546191459115920748774713524447505769234216294140791615165597241162235037681496812555083<106>

Number: n
N=218349014958253109486664713117538199578052251101330227864676452297331337119016785720488523595296193413055323937770547172721862433854766032125061829286259863895771420255166654391890427  ( 183 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Apr  5 08:02:59 2022  p77 factor: 61627620744273614665436599066016119927257985039564102111730334125611798205969
Tue Apr  5 08:02:59 2022  p106 factor: 3543038207888983147546191459115920748774713524447505769234216294140791615165597241162235037681496812555083
Tue Apr  5 08:02:59 2022  elapsed time 01:10:31 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 809x10^192-8 = 898(192)
#
n: 218349014958253109486664713117538199578052251101330227864676452297331337119016785720488523595296193413055323937770547172721862433854766032125061829286259863895771420255166654391890427
m: 100000000000000000000000000000000000000
deg: 5
c5: 20225
c0: -2
skew: 0.16
# Murphy_E = 1.747e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4115749 hash collisions in 29878450 relations (27315064 unique)
Msieve: matrix is 1712281 x 1712506 (595.1 MB)

Sieving start time : 2022/04/04 23:26:49
Sieving end time  : 2022/04/05 06:51:54

Total sieving time: 7hrs 25min 5secs.

Total relation processing time: 0hrs 56min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 5sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12100000,12100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] 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)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

556318050589451959263222408264803570796634756736599832618627279919146339748615101572850671845465066621498082760014236278301055231447591026315628977089738076769181071727833<171>

2331412078156460535640895039852234059621946551960787456026792240692119<70>
238618498978247800387031962370030643135529557560519575702916512617486866823668286920941219585891957007<102>

Number: n
N=556318050589451959263222408264803570796634756736599832618627279919146339748615101572850671845465066621498082760014236278301055231447591026315628977089738076769181071727833  ( 171 digits)
SNFS difficulty: 195 digits.
Divisors found:

Tue Apr 12 06:47:16 2022  p70 factor: 2331412078156460535640895039852234059621946551960787456026792240692119
Tue Apr 12 06:47:16 2022  p102 factor: 238618498978247800387031962370030643135529557560519575702916512617486866823668286920941219585891957007
Tue Apr 12 06:47:16 2022  elapsed time 01:12:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 809x10^193-8 = 898(193)
#
n: 556318050589451959263222408264803570796634756736599832618627279919146339748615101572850671845465066621498082760014236278301055231447591026315628977089738076769181071727833
m: 100000000000000000000000000000000000000
deg: 5
c5: 101125
c0: -1
skew: 0.10
# Murphy_E = 1.722e-11
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4090054 hash collisions in 30071706 relations (27561639 unique)
Msieve: matrix is 1687704 x 1687930 (588.4 MB)

Sieving start time : 2022/04/11 22:20:34
Sieving end time  : 2022/04/12 05:34:31

Total sieving time: 7hrs 13min 57secs.

Total relation processing time: 1hrs 0min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12500000,12500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118659] 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)
[    0.154096] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.11 BogoMIPS (lpj=12798228)
[    0.152007] smpboot: Total of 16 processors activated (102385.82 BogoMIPS)

2245038303682762969053058644828916383179889888945348887152348391847596000417945612704351013494438243032869002145317011525144156246934391703698597092352761256231<160>

15241911754641638454660237515117526287986312240944156972169<59>
147293747649410097511720323919486747492813066509042700851619824628134752316230412840939925633212183599<102>

Number: n
N=2245038303682762969053058644828916383179889888945348887152348391847596000417945612704351013494438243032869002145317011525144156246934391703698597092352761256231  ( 160 digits)
SNFS difficulty: 196 digits.
Divisors found:

Mon Apr 25 04:30:11 2022  p59 factor: 15241911754641638454660237515117526287986312240944156972169
Mon Apr 25 04:30:11 2022  p102 factor: 147293747649410097511720323919486747492813066509042700851619824628134752316230412840939925633212183599
Mon Apr 25 04:30:11 2022  elapsed time 01:18:06 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 809x10^194-8 = 898(194)
#
n: 2245038303682762969053058644828916383179889888945348887152348391847596000417945612704351013494438243032869002145317011525144156246934391703698597092352761256231
m: 500000000000000000000000000000000000000
deg: 5
c5: 1618
c0: -5
skew: 0.31
# Murphy_E = 1.715e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 33850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4007199 hash collisions in 30769213 relations (28447973 unique)
Msieve: matrix is 1695843 x 1696068 (589.6 MB)

Sieving start time : 2022/04/24 17:00:09
Sieving end time  : 2022/04/25 03:11:07

Total sieving time: 10hrs 10min 58secs.

Total relation processing time: 0hrs 56min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 50sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

9112778279527668301385138465157590654922842714135056522468214028800016891332404243979248658876411696885883039130309043447970776288530114243015455514070663619626379310493<169>

107643466408726324848736334179575170401015090171<48>
758193296372656113453238436690643313008169014713<48>
111656288769891667625500375627778298382362218501448521875783044804168910591<75>

Number: n
N=9112778279527668301385138465157590654922842714135056522468214028800016891332404243979248658876411696885883039130309043447970776288530114243015455514070663619626379310493  ( 169 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sat May  7 10:50:32 2022  found factor: 758193296372656113453238436690643313008169014713
Sat May  7 10:55:07 2022  found factor: 758193296372656113453238436690643313008169014713
Sat May  7 10:57:23 2022  found factor: 758193296372656113453238436690643313008169014713
Sat May  7 10:59:42 2022  p48 factor: 107643466408726324848736334179575170401015090171
Sat May  7 10:59:42 2022  p48 factor: 758193296372656113453238436690643313008169014713
Sat May  7 10:59:42 2022  p75 factor: 111656288769891667625500375627778298382362218501448521875783044804168910591
Sat May  7 10:59:42 2022  elapsed time 01:16:40 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 809x10^195-8 = 898(195)
#
n: 9112778279527668301385138465157590654922842714135056522468214028800016891332404243979248658876411696885883039130309043447970776288530114243015455514070663619626379310493
m: 1000000000000000000000000000000000000000
deg: 5
c5: 809
c0: -8
skew: 0.40
# Murphy_E = 1.756e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3851158 hash collisions in 29923745 relations (27714329 unique)
Msieve: matrix is 1705744 x 1705969 (596.8 MB)

Sieving start time : 2022/05/07 01:17:14
Sieving end time  : 2022/05/07 09:42:11

Total sieving time: 8hrs 24min 57secs.

Total relation processing time: 0hrs 56min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 11min 30sec.

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

2521627071832560095104417959050350231774975679466207573110465561004431629825994719032014781706306395858084413826917045053751293888657401471060079085327084637639657221549452517<175>

88850811121034464377558529064675710658047972548945156901626702838168782415453099483<83>
28380462035372373515707000017342464559581651782726042389483738480137185336428444573519143999<92>

Number: n
N=2521627071832560095104417959050350231774975679466207573110465561004431629825994719032014781706306395858084413826917045053751293888657401471060079085327084637639657221549452517  ( 175 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Apr 16 09:15:32 2022  p83 factor: 88850811121034464377558529064675710658047972548945156901626702838168782415453099483
Sat Apr 16 09:15:32 2022  p92 factor: 28380462035372373515707000017342464559581651782726042389483738480137185336428444573519143999
Sat Apr 16 09:15:32 2022  elapsed time 01:41:44 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 809x10^197-8 = 898(197)
#
n: 2521627071832560095104417959050350231774975679466207573110465561004431629825994719032014781706306395858084413826917045053751293888657401471060079085327084637639657221549452517
m: 1000000000000000000000000000000000000000
deg: 5
c5: 20225
c0: -2
skew: 0.16
# Murphy_E = 1.083e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 34550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4325304 hash collisions in 29190784 relations (26268655 unique)
Msieve: matrix is 2166808 x 2167033 (755.3 MB)

Sieving start time : 2022/04/15 20:39:49
Sieving end time  : 2022/04/16 07:33:12

Total sieving time: 10hrs 53min 23secs.

Total relation processing time: 1hrs 29min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 24sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

772948951133999051532223476550078181323859400714803355134121031469756192641601003186156348615848301976491155359414302512362348935780900184616071904114615934575681629291357178206790837<183>

12001514408765111081694229178299343835782323<44>
64404284726724849137823565905090808815442007770037920945486631066807011638702184142015027757379782378392755945480605415019294436039749532919<140>

772948951133999051532223476550078181323859400714803355134121031469756192641601003186156348615848301976491155359414302512362348935780900184616071904114615934575681629291357178206790837=12001514408765111081694229178299343835782323*64404284726724849137823565905090808815442007770037920945486631066807011638702184142015027757379782378392755945480605415019294436039749532919

cado polynomial
n: 772948951133999051532223476550078181323859400714803355134121031469756192641601003186156348615848301976491155359414302512362348935780900184616071904114615934575681629291357178206790837
skew: 0.40
type: snfs
c0: -8
c5: 809
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 809*x^5-8
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16900000
tasks.lim1 = 16900000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 12001514408765111081694229178299343835782323 64404284726724849137823565905090808815442007770037920945486631066807011638702184142015027757379782378392755945480605415019294436039749532919
Info:Square Root: Total cpu/real time for sqrt: 1565.35/485.044
Info:Generate Factor Base: Total cpu/real time for makefb: 7.1/2.87654
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 523.17/530.784
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 502.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 235.37/60.1364
Info:Square Root: Total cpu/real time for sqrt: 1565.35/485.044
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 191.8/191.275
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 191.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 203.16/203.062
Info:Filtering - Merging: Merged matrix has 2723023 rows and total weight 463164625 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 767.69/210.247
Info:Filtering - Merging: Total cpu/real time for replay: 106.44/96.2993
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43287958
Info:Lattice Sieving: Average J: 3790.32 for 1581084 special-q, max bucket fill -bkmult 1.0,1s:1.087120
Info:Lattice Sieving: Total time: 728795s
Info:Linear Algebra: Total cpu/real time for bwc: 131417/33705.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 84354.71, WCT time 21522.33, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (85504 iterations)
Info:Linear Algebra: Lingen CPU time 581.52, WCT time 147.47
Info:Linear Algebra: Mksol: CPU time 45479.1,  WCT time 11659.09, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 99.66/42.0875
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.53337e+06/222479
Info:root: Cleaning up computation data in /tmp/cado.dl_osw1s
12001514408765111081694229178299343835782323 64404284726724849137823565905090808815442007770037920945486631066807011638702184142015027757379782378392755945480605415019294436039749532919

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

10515133407932061591533001406875282084346401581690399708514413688076829822634415665723986693449248941418116411931867457598204890583282965428721111829731722978873526834213257994488996549917633<191>

1338395100918055437565021363023015595400999<43>

7856524131565736374997390405463805635890861852448378475409490284971400922656178378011229029992325024848540445483404122458429066234833703192811249367<148>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3089950001
Step 1 took 71839ms
Step 2 took 31030ms
********** Factor found in step 2: 1338395100918055437565021363023015595400999
Found prime factor of 43 digits: 1338395100918055437565021363023015595400999
Composite cofactor 7856524131565736374997390405463805635890861852448378475409490284971400922656178378011229029992325024848540445483404122458429066234833703192811249367 has 148 digits

7856524131565736374997390405463805635890861852448378475409490284971400922656178378011229029992325024848540445483404122458429066234833703192811249367<148>

22735413332328247605671893442602903055189449649<47>
345563285642767748291097543213485328467589215770863680097338524536055792062406401396293324117834296583<102>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 7856524131565736374997390405463805635890861852448378475409490284971400922656178378011229029992325024848540445483404122458429066234833703192811249367 (148 digits)
Using B1=65640000, B2=388134487660, polynomial Dickson(30), sigma=1:1465842202
Step 1 took 120472ms
Step 2 took 45463ms
********** Factor found in step 2: 22735413332328247605671893442602903055189449649
Found prime factor of 47 digits: 22735413332328247605671893442602903055189449649
Prime cofactor 345563285642767748291097543213485328467589215770863680097338524536055792062406401396293324117834296583 has 102 digits

6894135010012819446279075109470178669324458310342482580124247763730876708409928879859944610183965411254415749406243518833225211631984333<136>

858156218566235143448287513958926994605132497169247202303293<60>
8033659677408384176535810524294315367291681300946048299071005154846636163281<76>

6894135010012819446279075109470178669324458310342482580124247763730876708409928879859944610183965411254415749406243518833225211631984333=858156218566235143448287513958926994605132497169247202303293*8033659677408384176535810524294315367291681300946048299071005154846636163281

cado polynomial
n: 6894135010012819446279075109470178669324458310342482580124247763730876708409928879859944610183965411254415749406243518833225211631984333
skew: 220420.757
c0: 17616477530239740054959681654805
c1: 281009054461696851333158012
c2: -2780249490477338614725
c3: -14818966382207318
c4: 37764827250
c5: 31320
Y0: -230914455334476431241496216
Y1: 1118213826362686939
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.090e-07
# f(x) = 31320*x^5+37764827250*x^4-14818966382207318*x^3-2780249490477338614725*x^2+281009054461696851333158012*x+17616477530239740054959681654805
# g(x) = 1118213826362686939*x-230914455334476431241496216

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 8033659677408384176535810524294315367291681300946048299071005154846636163281 858156218566235143448287513958926994605132497169247202303293
Info:Square Root: Total cpu/real time for sqrt: 553.88/166.936
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 194.01/164.648
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 151.3s
Info:Square Root: Total cpu/real time for sqrt: 553.88/166.936
Info:Generate Free Relations: Total cpu/real time for freerel: 247.17/62.8169
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.72/94.1805
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17022634
Info:Lattice Sieving: Average J: 3788.26 for 753231 special-q, max bucket fill -bkmult 1.0,1s:1.191790
Info:Lattice Sieving: Total time: 241694s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.23/4.04957
Info:Linear Algebra: Total cpu/real time for bwc: 36125.9/9297.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 23026.13, WCT time 5902.59, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47104 iterations)
Info:Linear Algebra: Lingen CPU time 292.84, WCT time 74.55
Info:Linear Algebra: Mksol: CPU time 12540.61,  WCT time 3221.16, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23552 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.74/89.9112
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.7s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7230.1
Info:Polynomial Selection (root optimized): Rootsieve time: 7227.6
Info:Filtering - Merging: Merged matrix has 1502983 rows and total weight 255643566 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 408.13/114.198
Info:Filtering - Merging: Total cpu/real time for replay: 58.67/49.2879
Info:Quadratic Characters: Total cpu/real time for characters: 52.44/21.7707
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54036/40.090/48.817/53.240/0.964
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43777/39.870/43.717/49.540/1.165
Info:Polynomial Selection (size optimized): Total time: 11110.6
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 520829/56319.3
Info:root: Cleaning up computation data in /tmp/cado.rw3jjpp4
8033659677408384176535810524294315367291681300946048299071005154846636163281 858156218566235143448287513958926994605132497169247202303293

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

1765338760085059564057252454161287947866007008669825230851756705402519669539756589767375572596028013102453383578758627051225443614137325078059395789264237005400304376697681988445458486450830807262313<199>

214603943195987993449178438125656798338038517822726213099253311014076632748837<78>
8226031329130127817879657331879465607212963692390406759613550244095925509918704640038633345687374809228551495645052168949<121>

Number: n
N=1765338760085059564057252454161287947866007008669825230851756705402519669539756589767375572596028013102453383578758627051225443614137325078059395789264237005400304376697681988445458486450830807262313  ( 199 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Mar 25 10:44:50 2024  prp78 factor: 214603943195987993449178438125656798338038517822726213099253311014076632748837
Mon Mar 25 10:44:50 2024  prp121 factor: 8226031329130127817879657331879465607212963692390406759613550244095925509918704640038633345687374809228551495645052168949
Mon Mar 25 10:44:50 2024  elapsed time 04:24:16 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 809x10^204-8 = 898(204)
#
n: 1765338760085059564057252454161287947866007008669825230851756705402519669539756589767375572596028013102453383578758627051225443614137325078059395789264237005400304376697681988445458486450830807262313
m: 50000000000000000000000000000000000000000
deg: 5
c5: 1618
c0: -5
skew: 0.31
# Murphy_E = 6.528e-12
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 71350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3656381 hash collisions in 18901570 relations (15888594 unique)
Msieve: matrix is 2816645 x 2816870 (795.4 MB)

Sieving start time: 2024/03/23 21:04:22
Sieving end time  : 2024/03/25 06:20:11

Total sieving time: 33hrs 15min 49secs.

Total relation processing time: 4hrs 8min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 28sec.

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

13143033899604766713585185705057972314174721445662246448294102433134611960453277083097765976665509949715304664948487105205356249325789979192091695162193811174405622944065587150824193319894621786048953821<203>

855325753536195989106138025255091238831065927<45>
1976968312973572453998259995706034287444989708107<49>
7772565148805315845682808556163404111728442128390086054616732301249774208185893456999611717829215130813963089<109>

09/06/24 07:46:45 v1.34.5 @ TRIGKEY,
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, ****************************
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, Starting factorization of 80899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, using pretesting plan: normal
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, ****************************
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, div: found prime factor = 2
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, div: found prime factor = 2
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, div: found prime factor = 2
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, div: found prime factor = 7
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, div: found prime factor = 23
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, div: found prime factor = 59
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C203
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C203
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C203
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C203
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
09/06/24 07:46:45 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 62.46
09/06/24 07:46:46 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C203 input, B1=2K, B2=gmp-ecm default
09/06/24 07:46:46 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
09/06/24 07:46:46 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 62.46
09/06/24 07:46:48 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C203 input, B1=11K, B2=gmp-ecm default
09/06/24 07:46:48 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
09/06/24 07:46:48 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 62.46
09/06/24 07:47:38 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c209: 80899999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
09/06/24 07:47:38 v1.34.5 @ TRIGKEY, nfs: input divides 809*10^206 - 8
09/06/24 07:47:38 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 13143033899604766713585185705057972314174721445662246448294102433134611960453277083097765976665509949715304664948487105205356249325789979192091695162193811174405622944065587150824193319894621786048953821
09/06/24 07:47:38 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c203: 13143033899604766713585185705057972314174721445662246448294102433134611960453277083097765976665509949715304664948487105205356249325789979192091695162193811174405622944065587150824193319894621786048953821
09/06/24 07:47:38 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 13143033899604766713585185705057972314174721445662246448294102433134611960453277083097765976665509949715304664948487105205356249325789979192091695162193811174405622944065587150824193319894621786048953821
# 809*10^206-8, difficulty: 210.91, anorm: -8.77e+032, rnorm: 2.16e+040
# scaled difficulty: 212.14, suggest sieving rational side
# size = 2.371e-010, alpha = -1.611, combined = 6.129e-012, rroots = 2
type: snfs
size: 210
skew: 0.2150
c6: 20225
c0: -2
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
n: 13143033899604766713585185705057972314174721445662246448294102433134611960453277083097765976665509949715304664948487105205356249325789979192091695162193811174405622944065587150824193319894621786048953821
# 809*10^206-8, difficulty: 209.91, anorm: -8.68e+026, rnorm: 2.00e+047
# scaled difficulty: 213.30, suggest sieving rational side
# size = 9.870e-015, alpha = 1.171, combined = 4.837e-012, rroots = 1
type: snfs
size: 209
skew: 0.2506
c5: 4045
c0: -4
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 13143033899604766713585185705057972314174721445662246448294102433134611960453277083097765976665509949715304664948487105205356249325789979192091695162193811174405622944065587150824193319894621786048953821
# 809*10^206-8, difficulty: 210.11, anorm: 4.30e+026, rnorm: 2.82e+047
# scaled difficulty: 213.58, suggest sieving rational side
# size = 6.716e-015, alpha = 0.247, combined = 3.861e-012, rroots = 1
type: snfs
size: 210
skew: 0.5013
c5: 4045
c0: -128
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
09/06/24 07:47:40 v1.34.5 @ TRIGKEY, test: fb generation took 2.4788 seconds
09/06/24 07:47:40 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.2150
c6: 20225
c0: -2
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/06/24 07:50:34 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/06/24 07:50:35 v1.34.5 @ TRIGKEY, test: fb generation took 1.6149 seconds
09/06/24 07:50:35 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.2506
c5: 4045
c0: -4
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/06/24 07:53:28 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/06/24 07:53:30 v1.34.5 @ TRIGKEY, test: fb generation took 1.6256 seconds
09/06/24 07:53:30 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.5013
c5: 4045
c0: -128
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/06/24 07:56:25 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/06/24 07:56:25 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 13143033899604766713585185705057972314174721445662246448294102433134611960453277083097765976665509949715304664948487105205356249325789979192091695162193811174405622944065587150824193319894621786048953821
# 809*10^206-8, difficulty: 210.91, anorm: -8.77e+032, rnorm: 2.16e+040
# scaled difficulty: 212.14, suggest sieving rational side
# size = 2.371e-010, alpha = -1.611, combined = 6.129e-012, rroots = 2
type: snfs
size: 210
skew: 0.2150
c6: 20225
c0: -2
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
09/07/24 22:19:17 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/07/24 22:25:18 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
09/08/24 00:54:45 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
09/08/24 01:04:48 v1.34.5 @ TRIGKEY, prp49 = 1976968312973572453998259995706034287444989708107
09/08/24 01:04:48 v1.34.5 @ TRIGKEY, prp109 = 7772565148805315845682808556163404111728442128390086054616732301249774208185893456999611717829215130813963089
09/08/24 01:04:48 v1.34.5 @ TRIGKEY, prp45 = 855325753536195989106138025255091238831065927
09/08/24 01:04:49 v1.34.5 @ TRIGKEY, NFS elapsed time = 148631.0212 seconds.
09/08/24 01:04:49 v1.34.5 @ TRIGKEY,
09/08/24 01:04:49 v1.34.5 @ TRIGKEY,
09/06/24 07:56:25 v1.34.5 @ TRIGKEY, test: test sieving took 526.84 seconds

YAFU

2326928876200402194707051524107711180122444198766605149375093133137424738350128095157250425240356546013826669110643217699461024199231640687750017528613978233240248633592647<172>

6265007133390579628419091508968158678682041932615659<52>
1931760435001462762223254110064403972898615713030222573<55>
192268559412590011687203186844878512195181261644719603783674955721<66>

10/16/24 04:35:46 v1.34.5 @ RYZEN-9,
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, ****************************
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, Starting factorization of 808999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, ****************************
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, div: found prime factor = 2
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, div: found prime factor = 19
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C207
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C207
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C207
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C207
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, prp12 = 355143053959
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.31
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C196 input, B1=2K, B2=gmp-ecm default
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/16/24 04:35:46 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 60.31
10/16/24 04:35:49 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C196 input, B1=11K, B2=gmp-ecm default
10/16/24 04:35:49 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/16/24 04:35:49 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 60.31
10/16/24 04:35:54 v1.34.5 @ RYZEN-9, prp24 = 715609323425820151141453 (curve 32 stg2 B1=50000 sigma=391903874 thread=0)
10/16/24 04:35:54 v1.34.5 @ RYZEN-9, Finished 32 curves using Lenstra ECM method on C196 input, B1=50K, B2=gmp-ecm default
10/16/24 04:35:54 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.99
10/16/24 04:35:54 v1.34.5 @ RYZEN-9, scheduled 182 curves at B1=50000 toward target pretesting depth of 52.92
10/16/24 04:36:28 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 808999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992
10/16/24 04:36:28 v1.34.5 @ RYZEN-9, nfs: input divides 809*10^207 - 8
10/16/24 04:36:28 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 2326928876200402194707051524107711180122444198766605149375093133137424738350128095157250425240356546013826669110643217699461024199231640687750017528613978233240248633592647
10/16/24 04:36:28 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c172: 2326928876200402194707051524107711180122444198766605149375093133137424738350128095157250425240356546013826669110643217699461024199231640687750017528613978233240248633592647
10/16/24 04:36:28 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 2326928876200402194707051524107711180122444198766605149375093133137424738350128095157250425240356546013826669110643217699461024199231640687750017528613978233240248633592647
# 809*10^207-8, difficulty: 212.91, anorm: -2.89e+033, rnorm: 2.61e+040
# scaled difficulty: 214.07, suggest sieving rational side
# size = 1.685e-010, alpha = -1.065, combined = 4.827e-012, rroots = 2
type: snfs
size: 212
skew: 0.1465
c6: 101125
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
n: 2326928876200402194707051524107711180122444198766605149375093133137424738350128095157250425240356546013826669110643217699461024199231640687750017528613978233240248633592647
# 809*10^207-8, difficulty: 211.91, anorm: -8.58e+025, rnorm: 2.51e+047
# scaled difficulty: 215.49, suggest sieving rational side
# size = 7.445e-015, alpha = 1.329, combined = 4.104e-012, rroots = 1
type: snfs
size: 211
skew: 0.1581
c5: 20225
c0: -2
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 2326928876200402194707051524107711180122444198766605149375093133137424738350128095157250425240356546013826669110643217699461024199231640687750017528613978233240248633592647
# 809*10^207-8, difficulty: 210.81, anorm: -3.94e+026, rnorm: 3.56e+047
# scaled difficulty: 214.30, suggest sieving rational side
# size = 5.264e-015, alpha = 0.289, combined = 3.347e-012, rroots = 1
type: snfs
size: 210
skew: 0.3163
c5: 20225
c0: -64
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
10/16/24 04:36:31 v1.34.5 @ RYZEN-9, test: fb generation took 2.8126 seconds
10/16/24 04:36:31 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23802000
skew: 0.1465
c6: 101125
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/16/24 04:39:49 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/16/24 04:39:50 v1.34.5 @ RYZEN-9, test: fb generation took 1.8907 seconds
10/16/24 04:39:50 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 22600000-22602000
skew: 0.1581
c5: 20225
c0: -2
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/16/24 04:43:07 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/16/24 04:43:09 v1.34.5 @ RYZEN-9, test: fb generation took 1.8602 seconds
10/16/24 04:43:09 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 22600000-22602000
skew: 0.3163
c5: 20225
c0: -64
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/16/24 04:46:24 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/16/24 04:46:24 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 2326928876200402194707051524107711180122444198766605149375093133137424738350128095157250425240356546013826669110643217699461024199231640687750017528613978233240248633592647
# 809*10^207-8, difficulty: 212.91, anorm: -2.89e+033, rnorm: 2.61e+040
# scaled difficulty: 214.07, suggest sieving rational side
# size = 1.685e-010, alpha = -1.065, combined = 4.827e-012, rroots = 2
type: snfs
size: 212
skew: 0.1465
c6: 101125
c0: -1
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
10/17/24 18:17:11 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/17/24 18:24:03 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
10/18/24 00:36:09 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
10/18/24 01:10:55 v1.34.5 @ RYZEN-9, prp52 = 6265007133390579628419091508968158678682041932615659
10/18/24 01:10:55 v1.34.5 @ RYZEN-9, prp55 = 1931760435001462762223254110064403972898615713030222573
10/18/24 01:10:55 v1.34.5 @ RYZEN-9, prp66 = 192268559412590011687203186844878512195181261644719603783674955721
10/18/24 01:10:55 v1.34.5 @ RYZEN-9, NFS elapsed time = 160466.9232 seconds.
10/18/24 01:10:55 v1.34.5 @ RYZEN-9,
10/18/24 01:10:55 v1.34.5 @ RYZEN-9,
10/16/24 04:46:24 v1.34.5 @ RYZEN-9, test: test sieving took 595.94 seconds

YAFU

3778016959923310168598960458931493463860361259027055919435505942026893000310707924850396399644628264281625942951211643078930886402229486403439423233528595226881<160>

92086151696572931459653443254289035059<38>
41026982779908180814871903341024482238884851169755308189009531370884468149646468604221050445881409501299774863423215697659<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3999993054
Step 1 took 67389ms
Step 2 took 27183ms
********** Factor found in step 2: 92086151696572931459653443254289035059
Found prime factor of 38 digits: 92086151696572931459653443254289035059
Prime cofactor 41026982779908180814871903341024482238884851169755308189009531370884468149646468604221050445881409501299774863423215697659 has 122 digits

1039173949439964177367484752995498754814092523923412826284860389679432879432089238566211268457173524094994138284618537189913063804880856801501650246304783421334349574653329260905936611671751083016788283<202>

3961431145710210060900600415143259571170064016102355581009335484398764808655635922575004377860968508873224566567780438514642743393644332463087352181526189490895415952543<169>

225169871763567673881597182681430410710786234679955185317157001723323141215162205803576242062230677051418211511556903663204871466725345729416826485800895454996626002066973790770818895846030209320775907883<204>

64485576933971653332359507903330170262352356251<47>

3491786574137726460727423494055930126335285953503796566363986653412162723523847944566690662671100296237085528110286690644409072410190465819653673086565651633<157>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2027078386
Step 1 took 13272ms
Step 2 took 4884ms
********** Factor found in step 2: 64485576933971653332359507903330170262352356251
Found probable prime factor of 47 digits: 64485576933971653332359507903330170262352356251
Composite cofactor 3491786574137726460727423494055930126335285953503796566363986653412162723523847944566690662671100296237085528110286690644409072410190465819653673086565651633 has 157 digits

59441695279423691569014388341565195623813713446962044245489184156660141860532039278336920829801849135528918821790043217122288137568319579392451418727324922765001<161>

19639203509426463754877845816031137<35>
3026685641853690709435919036675707355170731328134245079620332795344042821949296856944504282365967930265126173743028996663916073<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3199634623
Step 1 took 7125ms
Step 2 took 2744ms
********** Factor found in step 2: 19639203509426463754877845816031137
Found probable prime factor of 35 digits: 19639203509426463754877845816031137
Probable prime cofactor 3026685641853690709435919036675707355170731328134245079620332795344042821949296856944504282365967930265126173743028996663916073 has 127 digits

450807760984046653530047799753872887502968742730658391040182988194841126364974125701682185282687540590350530762985708112555005195582050000945635348721188197960759730754531563895479775588570889<192>

10198733117720170884065117267007521405249923840128864923717508494508701102576642525241880378130868947258571870642163752428201543133986088546216521741658791021600141388834595240308501280470574599491521<200>

528494461297432767763539283679771725608753293<45>

19297710505201301318848763237918925229356802345402826055365965309319547096069967520709915988904668773545987280841614534947542124893028379757879707906369797<155>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2567822234
Step 1 took 34749ms
Step 2 took 15123ms
********** Factor found in step 2: 528494461297432767763539283679771725608753293
Found prime factor of 45 digits: 528494461297432767763539283679771725608753293
Composite cofactor 19297710505201301318848763237918925229356802345402826055365965309319547096069967520709915988904668773545987280841614534947542124893028379757879707906369797 has 155 digits

19297710505201301318848763237918925229356802345402826055365965309319547096069967520709915988904668773545987280841614534947542124893028379757879707906369797<155>

28579006906822337403298786054268650877961117519263<50>
675240765647268904474818911992090384290091927511975833064251407675991304932948460610210342055453698342619<105>

Number: 89888_220
N = 19297710505201301318848763237918925229356802345402826055365965309319547096069967520709915988904668773545987280841614534947542124893028379757879707906369797 (155 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=28579006906822337403298786054268650877961117519263 (pp50)
r2=675240765647268904474818911992090384290091927511975833064251407675991304932948460610210342055453698342619 (pp105)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 74.11 hours.
Factorization parameters were as follows:
n: 19297710505201301318848763237918925229356802345402826055365965309319547096069967520709915988904668773545987280841614534947542124893028379757879707906369797
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 809
c0: -8
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: 30955707
Relations: 9024458 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 16.81 hours.
Total relation processing time: 0.56 hours.
Pruned matrix : 7628156 x 7628381
Matrix solve time: 56.48 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 74.11 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

6410847797647550933832737213680458319654808091598497789791259405766491280412248922305167775690052947331836882687906540658310668980888452292102519438430128759630912242192343387<175>

5005835673113328012942348588181925046443<40>

1280674839583855152857199648413076567855581401456633790667570650519983551700146771876045565434891005333824074756447883375668835913697809<136>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1251028584
Step 1 took 57609ms
Step 2 took 22940ms
********** Factor found in step 2: 5005835673113328012942348588181925046443
Found prime factor of 40 digits: 5005835673113328012942348588181925046443
Composite cofactor 1280674839583855152857199648413076567855581401456633790667570650519983551700146771876045565434891005333824074756447883375668835913697809 has 136 digits

1280674839583855152857199648413076567855581401456633790667570650519983551700146771876045565434891005333824074756447883375668835913697809<136>

81475676347065550153355111369697383794771<41>
15718492892633474676463691854505509207595042692478059727544989268509179614375791619861293827979<95>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1344989273
Step 1 took 21750ms
Step 2 took 10922ms
********** Factor found in step 2: 81475676347065550153355111369697383794771
Found prime factor of 41 digits: 81475676347065550153355111369697383794771
Prime cofactor 15718492892633474676463691854505509207595042692478059727544989268509179614375791619861293827979 has 95 digits
 

GMP-ECM

1230484093480689508637098904202368815768652312980132341839964261618601288607599742462187299519496893020949765277838154171<121>

12942740794345738773622499593911091234734349859925908209<56>
95071369583345736739996829684550143950686046303752388345215059819<65>

1230484093480689508637098904202368815768652312980132341839964261618601288607599742462187299519496893020949765277838154171=12942740794345738773622499593911091234734349859925908209*95071369583345736739996829684550143950686046303752388345215059819

cado polynomial
n: 1230484093480689508637098904202368815768652312980132341839964261618601288607599742462187299519496893020949765277838154171
skew: 31206.642
c0: 2505501773834691564691802820
c1: -176135901479299962368829
c2: -8044490310182899594
c3: 834349245572209
c4: 4476097274
c5: 22440
Y0: -127244674527958590475742
Y1: 728922607402681511
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.437e-06
# f(x) = 22440*x^5+4476097274*x^4+834349245572209*x^3-8044490310182899594*x^2-176135901479299962368829*x+2505501773834691564691802820
# g(x) = 728922607402681511*x-127244674527958590475742

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

cado log (extracts)
Info:Square Root: Factors: 12942740794345738773622499593911091234734349859925908209 95071369583345736739996829684550143950686046303752388345215059819
Info:Square Root: Total cpu/real time for sqrt: 227.17/68.4326
Info:Filtering - Singleton removal: Total cpu/real time for purge: 107.12/123.091
Info:Linear Algebra: Total cpu/real time for bwc: 5599.26/1453.89
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3436.42, WCT time 888.35, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23808 iterations)
Info:Linear Algebra: Lingen CPU time 131.83, WCT time 33.74
Info:Linear Algebra: Mksol: CPU time 1954.21,  WCT time 504.66, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13936696
Info:Lattice Sieving: Average J: 1896.31 for 302276 special-q, max bucket fill -bkmult 1.0,1s:1.253990
Info:Lattice Sieving: Total time: 36180.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.14/1.36907
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2137.2
Info:Polynomial Selection (root optimized): Rootsieve time: 2134.76
Info:Generate Free Relations: Total cpu/real time for freerel: 126.51/33.2538
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.63/61.7467
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.400000000000006s
Info:Filtering - Merging: Merged matrix has 756731 rows and total weight 77137984 (101.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.5/18.985
Info:Filtering - Merging: Total cpu/real time for replay: 18.94/14.9769
Info:Quadratic Characters: Total cpu/real time for characters: 24.14/9.26892
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20416/35.250/42.930/47.230/1.029
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16414/34.700/38.019/43.440/0.862
Info:Polynomial Selection (size optimized): Total time: 2260.32
Info:Square Root: Total cpu/real time for sqrt: 227.17/68.4326
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 184.01/177.861
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 145.99999999999997s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 77684.4/21206.2
Info:root: Cleaning up computation data in /tmp/cado.lkbyf0e5
12942740794345738773622499593911091234734349859925908209 95071369583345736739996829684550143950686046303752388345215059819

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

112361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<225>

105449350894510823505463859418132789282661037846781957095776094557027499093<75>
1065545782482005586002743763571143256955974363228759870314108142727928838198439173922226757238654236024454363478191587168417881685634253687715249869227<151>

Number: 89888_223
N = 112361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (225 digits)
SNFS difficulty: 226 digits.
Divisors found:
r1=105449350894510823505463859418132789282661037846781957095776094557027499093 (pp75)
r2=1065545782482005586002743763571143256955974363228759870314108142727928838198439173922226757238654236024454363478191587168417881685634253687715249869227 (pp151)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 118.24 hours.
Factorization parameters were as follows:
n: 112361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 101125
c0: -1
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: 36579779
Relations: 14089008 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 34.86 hours.
Total relation processing time: 0.47 hours.
Pruned matrix : 11800199 x 11800424
Matrix solve time: 82.61 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: snfs,226,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 118.24 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

5242945050980000197497487221514448748484851783954314451791926997043776337971338892892711943897454705098135248457648687211988620447462549643528638115436731622876635426963379444552397703291418015158995693229643661<211>

40778986983820354850324661163958482741394911263785111735871211192232304214743087122813535042650560577933885931779172014847147567910544061979654232170526193557548986449411731302186620166411508351061561<200>

5069134425787919158113180591504668246551492039932652445925453257058774303138278821371212452666825331584408810843059813806925576978038964507759489618224067549716410156220632790163816404888724343931963610267979<208>

159424231720352290056542372770499423<36>

31796511553398863468960385320522201883383168808568460178096847692141495783989091920981700932266130872367178893767812749781615475870096087557248369289218034925171189180218773<173>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=128066378
Step 1 took 9992ms
Step 2 took 3515ms
********** Factor found in step 2: 159424231720352290056542372770499423
Found probable prime factor of 36 digits: 159424231720352290056542372770499423
Composite cofactor 31796511553398863468960385320522201883383168808568460178096847692141495783989091920981700932266130872367178893767812749781615475870096087557248369289218034925171189180218773 has 173 digits

121415941471800645430999496383653187655406905746332421092108995280008397918874320603212780267824183689154742295503616377612535962274486389188929850774835287253<159>

1121486678425606509384859463368489571826393443664386335023761340496051971972189329115386948400297596504257855678581661501894953306728715485321876656988488385730057111186387750139337804836764888387162605197395947<211>

11236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<233>

161723807791251607296955748499763165582994611163531299018667506015832398272653130037482969273512587003861947282099608763838135546654163643785327306845721096143120002386713442684373209<183>

1122843091590347961536414768934534183913<40>
144030638833243186659072609807072106794163720345947642940555202553142690659835441926035465686117512116583792832608369733680039341034546881806193<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3806941755
Step 1 took 8136ms
Step 2 took 4351ms
********** Factor found in step 2: 1122843091590347961536414768934534183913
Found probable prime factor of 40 digits: 1122843091590347961536414768934534183913
Probable prime cofactor 144030638833243186659072609807072106794163720345947642940555202553142690659835441926035465686117512116583792832608369733680039341034546881806193 has 144 digits

119278814098593608943228523713113543824003302978110882897433818849025858062576394540251018020714247214120957089892775812564288740033552844591243276874798336837119876174804180416407<180>

1892639333134288968464840618090173692949<40>
63022474493892590920460364002297479994432719339388945852680822443387799331751901807412074621835603873772338246297311466774893569118467560443<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=324141659
Step 1 took 42400ms
Step 2 took 14780ms
********** Factor found in step 2: 1892639333134288968464840618090173692949
Found probable prime factor of 40 digits: 1892639333134288968464840618090173692949
Probable prime cofactor 63022474493892590920460364002297479994432719339388945852680822443387799331751901807412074621835603873772338246297311466774893569118467560443 has 140 digits

175029359580556280195534658764339171529431427578672414523835762234995795178775746932554290438266179530622988007900117796193495033103408275586610318386160446639820093871324817642891561108259<189>

48082397662672596976680355383756590607315804938374315477168950087998557176414501809346743077976607420857665455982981091112281055390206521401241218165763218653484415143116292763580917877025643923847833495301229<209>

1892302398545129047835210782905026724570809054496675179644062778646633088995491335434006838294447057267811847835970792604252753669638080444000465698931008848614980008848087377973221621<184>

776285500583703625336121683178340875563<39>

2437637180035272317458592220788273873722990070703381682102822118929585575068377808684373987184058291898406344411928616229554236193779649335030367<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1487845204
Step 1 took 9237ms
Step 2 took 4558ms
********** Factor found in step 2: 776285500583703625336121683178340875563
Found prime factor of 39 digits: 776285500583703625336121683178340875563
Composite cofactor 2437637180035272317458592220788273873722990070703381682102822118929585575068377808684373987184058291898406344411928616229554236193779649335030367 has 145 digits

2437637180035272317458592220788273873722990070703381682102822118929585575068377808684373987184058291898406344411928616229554236193779649335030367<145>

27957235022573841098259958260635127697812217378824928299443627<62>
87191640305882254954646548401096125880247024526378380626205283288278716506014894621<83>

n: 2437637180035272317458592220788273873722990070703381682102822118929585575068377808684373987184058291898406344411928616229554236193779649335030367
skew: 6963583.13
c0: 9271481417703754541409847234511002275
c1: 5780618736171205633517668125030
c2: -1862881563379172203571467
c3: -1004893854330917522
c4: 51465703548
c5: 1128
Y0: -18489765400439678221209284716
Y1: 2763482955148541
rlim: 19000000
alim: 19000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

nfs: commencing nfs on c145: 2437637180035272317458592220788273873722990070703381682102822118929585575068377808684373987184058291898406344411928616229554236193779649335030367
nfs: commencing poly selection with 4 threads
nfs: setting deadline of 85950 seconds
nfs: completed 8 ranges of size 250 in 75190.5409 seconds
nfs: best poly = # norm 6.687292e-014 alpha -7.749370 e 1.161e-011 rroots 5
nfs: commencing lattice sieving with 4 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp62 = 27957235022573841098259958260635127697812217378824928299443627
prp83 = 87191640305882254954646548401096125880247024526378380626205283288278716506014894621
NFS elapsed time = 477413.0565 seconds.

YAFU v1.34

Windows 7 SP1, Intel i5-3570.

627748579800607581163060714507278853584981994235759189311925511969637346980330286791276139787025652711574617070402100129545464211734752566577792066297411307555472270016526095601067368940626971979841705387169643029884603890727577859<231>

34189941178451887278905972991286213140258823<44>
18360621813419331929941965028048182651318259909518244015986719891641629534999929356738592140330765468191229128376495604719926675024065252922949984657343061105395283106920787598322675152933<188>

Resuming ECM residue saved by @428c36c4fe72 with GMP-ECM 7.0.5-dev on Mon May 23 06:29:02 2022 
Input number is 627748579800607581163060714507278853584981994235759189311925511969637346980330286791276139787025652711574617070402100129545464211734752566577792066297411307555472270016526095601067368940626971979841705387169643029884603890727577859 (231 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3602055967
Step 1 took 0ms
Step 2 took 12587ms
********** Factor found in step 2: 34189941178451887278905972991286213140258823
Found prime factor of 44 digits: 34189941178451887278905972991286213140258823
Prime cofactor 18360621813419331929941965028048182651318259909518244015986719891641629534999929356738592140330765468191229128376495604719926675024065252922949984657343061105395283106920787598322675152933 has 188 digits

478446158119214294156272748447012199663754002978856058978789015252722091014447156382570311435147421794227727495165265292939234718362708477059110604756419408841014110585318472049806251089693869925152327643663569958921834722519<225>

2466982449690470121080767190386853561890493258143757899268655642693644869512412219976847372759077001807934034628685622074257920884179000401838202354081135104378631231972441889780132497583839218426391899979717440014861273044570970088904485341<241>

21647571013313628067179212959094319354227198316292121633751780416423898162305696201880274444183856953302036029700616263329345712887855974399473906808565165630813612502791<170>

56048313905310165314912281657462447899828845337425760172573058883352865588954015452361730137403688217088396995416642922247011990508616156320347740495126956492535917801558356678223162885389762392941536784070412287928335052779954084578607<236>

55853422494941638411112656267343211169103016743981908706276474290111683580746553944417747291869828042689642181212834684504689082187841483506588719253086797332799948542338848683<176>

1354196988998695885992961640776522756339<40>

41244680758181353611771489520245117794106296476975650928286906192959276358382774958154044247429593761202475158062211746923233053476744297<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2338513363
Step 1 took 41368ms
Step 2 took 14188ms
********** Factor found in step 2: 1354196988998695885992961640776522756339
Found probable prime factor of 40 digits: 1354196988998695885992961640776522756339
Composite cofactor 41244680758181353611771489520245117794106296476975650928286906192959276358382774958154044247429593761202475158062211746923233053476744297 has 137 digits

41244680758181353611771489520245117794106296476975650928286906192959276358382774958154044247429593761202475158062211746923233053476744297<137>

453437787604497338317982507351357545641948748246253<51>
90959955005241552393116986720131898240598683856731255371418974792862516140073405434349<86>

41244680758181353611771489520245117794106296476975650928286906192959276358382774958154044247429593761202475158062211746923233053476744297=453437787604497338317982507351357545641948748246253*90959955005241552393116986720131898240598683856731255371418974792862516140073405434349

cado polynomial
n: 41244680758181353611771489520245117794106296476975650928286906192959276358382774958154044247429593761202475158062211746923233053476744297
skew: 295853.174
c0: -421563930875526259451242287870336
c1: -1827424170606599388065888424
c2: 41152963792137703426696
c3: -962890637753444
c4: -6980356833
c5: 231660
Y0: -177976541344398486121209163
Y1: 18523780562501795743
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 9.671e-08
# f(x) = 231660*x^5-6980356833*x^4-962890637753444*x^3+41152963792137703426696*x^2-1827424170606599388065888424*x-421563930875526259451242287870336
# g(x) = 18523780562501795743*x-177976541344398486121209163

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 453437787604497338317982507351357545641948748246253 90959955005241552393116986720131898240598683856731255371418974792862516140073405434349
Info:Square Root: Total cpu/real time for sqrt: 542.44/162.344
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 256.88/232.561
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 201.39999999999998s
Info:Square Root: Total cpu/real time for sqrt: 542.44/162.344
Info:Filtering - Singleton removal: Total cpu/real time for purge: 151.51/176.87
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17390511
Info:Lattice Sieving: Average J: 3781.42 for 846284 special-q, max bucket fill -bkmult 1.0,1s:1.320930
Info:Lattice Sieving: Total time: 312845s
Info:Generate Factor Base: Total cpu/real time for makefb: 14.66/3.9001
Info:Linear Algebra: Total cpu/real time for bwc: 36717.8/9431.65
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 23427.54, WCT time 5990.4, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (47872 iterations)
Info:Linear Algebra: Lingen CPU time 294.92, WCT time 74.94
Info:Linear Algebra: Mksol: CPU time 12724.62,  WCT time 3267.01, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24064 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 250.49/63.2085
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 79.62/91.7669
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 91.39999999999999s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7055.46
Info:Polynomial Selection (root optimized): Rootsieve time: 7052.91
Info:Filtering - Merging: Merged matrix has 1526071 rows and total weight 259804272 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 411.96/114.641
Info:Filtering - Merging: Total cpu/real time for replay: 57.7/48.3434
Info:Quadratic Characters: Total cpu/real time for characters: 52.16/21.86
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54380/40.520/49.119/53.310/0.946
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43891/39.660/44.042/49.790/1.232
Info:Polynomial Selection (size optimized): Total time: 11335.5
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 585638/91338.9
Info:root: Cleaning up computation data in /tmp/cado.lwx_frfl
453437787604497338317982507351357545641948748246253 90959955005241552393116986720131898240598683856731255371418974792862516140073405434349

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)

79577885478222575995455753235284746572277831275246681604602000678659788833300977299342448687353079590360541078550573688492073304449666686107915056574319360548412516371770345285388173758500138295937214132835338362251<215>

2561342682014454024060284939286557753121430024705073087621606104273625461729005448368114417940987012189787669464720853310560147828948188335767757728784193337438181602553114936274083654912781417439463390456980580183097<217>

112361111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<258>

3419822165469587971743209601142007<34>
32855834506728628804347742100891297194036662636676053258889037880357819202242527776725936184381230101065004535852206869645030063195228454758013961910740972578923576668576702685199103656004642423192254751957201902297682877873<224>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:739935827
Step 1 took 12147ms
********** Factor found in step 1: 3419822165469587971743209601142007
Found prime factor of 34 digits: 3419822165469587971743209601142007
Prime cofactor 32855834506728628804347742100891297194036662636676053258889037880357819202242527776725936184381230101065004535852206869645030063195228454758013961910740972578923576668576702685199103656004642423192254751957201902297682877873 has 224 digits

4300836023339046512958184918764323734315243233802865981756638527683011797440525222909897541576449194239418546345357911844805725441340746427109180877201658861252795690172705924250092374507428619323251896578354924551058598262013527736553795617993<244>

26860055193435813217150482938767365920015619737517976067175716997525116092210963577858365105746837957794667424163877109284599887219059113850414132705202236854911565018939162953914326172765088645833211<200>

16718777954510566531210391122105125184055567<44>

1606580054267018182071345520153818401293367659767279714631437381488724961532199824892848788805076611654833419319117854497514135408596401075111886594931048533<157>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3125176072
Step 1 took 40332ms
Step 2 took 7575ms
********** Factor found in step 2: 16718777954510566531210391122105125184055567
Found prime factor of 44 digits: 16718777954510566531210391122105125184055567
Composite cofactor 1606580054267018182071345520153818401293367659767279714631437381488724961532199824892848788805076611654833419319117854497514135408596401075111886594931048533 has 157 digits

6059808636366760580067833542818446029924087091851364390558199130219561862862057236748714587998899101306859079568130786544225034728471165800576944118293409036927152507097586445185140322127262549027746924438132296088248359475722315257138399143993679174657<253>

1562509081665610412615155986826153037520841276675399562389485736914723962722320781466302951885179785996965282941332853669811171074987590839488788669389179895056437067055766412349264465616355740543688924805510769219151031118622048592630782163<241>

33628997386514767682717718632084419244170010423524643279189345479234332086327691942851155855629345648337408483103697245419408255819005388445014838334515898569891939592010881636143275053643843<191>

12158229304394710178853198971581830017107224567474189107469782880541221371622941499727906792013573996274280765648586577942373652736894447583874745070216403829414341859904739802043828657568774719305736988500207517500546938828678054848854254331<242>

74530236457537172501597715754207063056033327774742234811245842668552643835877271672320328040242763112717183971506051736472218689678468337760575552253951144673807478593796326431202448773648862139848493039703389471379989624567901468219130004768349970559<251>

131165183067385987110352269617234957169306352221490469804763334476021969589593656807014903418200992924373115132393117538046313591446513676718463575667769077777307886297426185887314019391571563466198548227575364261707344064136518261779657191<240>

15782564343616007238088206281754634173635053273284009146870302295101862334984286444444592451193169253756674759493671566947897498244910777624673338034400003189975677474137121334508556139535034919<194>