124966903578652786309954875718091322195456628024621676701421491884886159423931667955797355388073438461267687178603155197712362760371<132>

2487441325075200197121778501595359<34>
935061187428302940375031505062267678199121469<45>
53728180464604315513396648915975156149011893915038001<53>

GMP-ECM 6.0.1 [powered by GMP 4.2.1] [ECM]
Input number is 124966903578652786309954875718091322195456628024621676701421491884886159423931667955797355388073438461267687178603155197712362760371 (132 digits)
Using B1=1000000, B2=839549779, polynomial Dickson(3), sigma=983314477
Step 1 took 28656ms
Step 2 took 11859ms
********** Factor found in step 2: 2487441325075200197121778501595359
Found probable prime factor of 34 digits: 2487441325075200197121778501595359
Composite cofactor 50239136223595060423269539592167071615943681788416865006866027868792606935588881818866205949943469 has 98 digits





Number: 18881-153
N=50239136223595060423269539592167071615943681788416865006866027868792606935588881818866205949943469
  ( 98 digits)
Divisors found:
 r1=935061187428302940375031505062267678199121469 (pp45)
 r2=53728180464604315513396648915975156149011893915038001 (pp53)
Version: GGNFS-0.77.0
Total time: 16.77 hours.
Scaled time: 13.76 units (timescale=0.820).
Factorization parameters were as follows:
name: 18881-153
n:  50239136223595060423269539592167071615943681788416865006866027868792606935588881818866205949943469
m:  1709282966443362906
deg: 5
c5: 3443280
c4: 4131057000
c3: -144180038412326
c2: -1723950652316668
c1: 5865605519247624248
c0: -848169666955669766435
skew: 725.838
type: gnfs
# adj. I(F,S) = 47.844
# E(F1,F2) = 2.926012e-03
# GGNFS version 0.77.0 polyselect.
# Options were: 
# lcd=1, enumLCD=2, maxS1=58.00000000, seed=1170826781.
# maxskew=1500.0
# These parameters should be manually set:
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000

type: gnfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Sieved special-q in [900000, 1950001)
Relations: rels:3911307, finalFF:340161
Initial matrix: 270265 x 340161 with sparse part having weight 28787639.
Pruned matrix : 247996 x 249411 with weight 15276957.
Total sieving time: 14.69 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 1.51 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 16.77 hours.
 --------- CPU info (if available) ----------

GMP-ECM 6.0.1, GGNFS-0.77.0

CeleronM 1.50GHz, Windows XP and Cygwin

4274360040840707962086046706090075912461905742295530890501180085682533476011747446857603996863402993422314665552906852413675572058777476683<139>

1974898746446825564654925588408067<34>
26084785568241325536093167306732883156016781297647<50>
82973420930499973861919069602007448123945832667668347767<56>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 4274360040840707962086046706090075912461905742295530890501180085682533476011747446857603996863402993422314665552906852413675572058777476683 (139 digits)
Using B1=379000, B2=210707253, polynomial Dickson(3), sigma=1964807638
Step 1 took 6920ms
********** Factor found in step 1: 1974898746446825564654925588408067
Found probable prime factor of 34 digits: 1974898746446825564654925588408067
Composite cofactor 2164343892835518454505300706637153514507175780157952502388586254372879429209130030340885911229358734804249 has 106 digits



Number: n
N=2164343892835518454505300706637153514507175780157952502388586254372879429209130030340885911229358734804249
  ( 106 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=26084785568241325536093167306732883156016781297647 (pp50)
 r2=82973420930499973861919069602007448123945832667668347767 (pp56)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 31.74 hours.
Scaled time: 45.71 units (timescale=1.440).
Factorization parameters were as follows:
name: KA_1_8_156_1

n: 2164343892835518454505300706637153514507175780157952502388586254372879429209130030340885911229358734804249

# n: 4274360040840707962086046706090075912461905742295530890501180085682533476011747446857603996863402993422314665552906852413675572058777476683

skew: 0.53
deg: 5
c5: 1700
c0: -71
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:216816, AFBsize:216847, largePrimes:6984289 encountered
Relations: rels:6460078, finalFF:494384
Max relations in full relation-set: 28
Initial matrix: 433730 x 494384 with sparse part having weight 33551013.
Pruned matrix : 384136 x 386368 with weight 22030613.
Total sieving time: 27.98 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.49 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 31.74 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

418873249142637799821007491061910714467071107673848593381389819578321584166718844538758955967710943384855248756160831082732301629584089903111<141>

5517382888130356012700422947230695246102802588279510829603153154612691<70>
75918829205014441614543498027493064480460216213141344861042989326442621<71>

Number: n
N=418873249142637799821007491061910714467071107673848593381389819578321584166718844538758955967710943384855248756160831082732301629584089903111
  ( 141 digits)
SNFS difficulty: 162 digits.
Divisors found:

Thu Oct 04 19:17:06 2007  prp70 factor: 5517382888130356012700422947230695246102802588279510829603153154612691
Thu Oct 04 19:17:06 2007  prp71 factor: 75918829205014441614543498027493064480460216213141344861042989326442621
Thu Oct 04 19:17:06 2007  elapsed time 01:24:27 (Msieve 1.26)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 56.52 hours.
Scaled time: 73.71 units (timescale=1.304).
Factorization parameters were as follows:
name: KA_1_8_160_1
n: 418873249142637799821007491061910714467071107673848593381389819578321584166718844538758955967710943384855248756160831082732301629584089903111
skew: 0.84
deg: 5
c5: 170
c0: -71
m: 100000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2300000)
Primes: RFBsize:216816, AFBsize:216842, largePrimes:7378545 encountered
Relations: rels:6867652, finalFF:491420
Max relations in full relation-set: 28
Initial matrix: 433725 x 491420 with sparse part having weight 41722542.
Pruned matrix : 394644 x 396876 with weight 30589920.
Total sieving time: 55.53 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.74 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 56.52 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

437546650194322188762772501479937199186677991403495225593905232543175559158880910097032404190152626566803078269374308290222119270069235322883689805163050472293<159>

2583124372509618337040968830299059261714173907429069612978604367206603<70>
169386598202867977225527166176651263517709056741805060006511940185061380465616968087449231<90>

Number: n
N=437546650194322188762772501479937199186677991403495225593905232543175559158880910097032404190152626566803078269374308290222119270069235322883689805163050472293
  ( 159 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=2583124372509618337040968830299059261714173907429069612978604367206603 (pp70)
 r2=169386598202867977225527166176651263517709056741805060006511940185061380465616968087449231 (pp90)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 57.94 hours.
Scaled time: 78.51 units (timescale=1.355).
Factorization parameters were as follows:
name: KA_1_8_161_1
n: 437546650194322188762772501479937199186677991403495225593905232543175559158880910097032404190152626566803078269374308290222119270069235322883689805163050472293
skew: 0.53
deg: 5
c5: 1700
c0: -71
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2400001)
Primes: RFBsize:250150, AFBsize:250202, largePrimes:7459585 encountered
Relations: rels:6986844, finalFF:572535
Max relations in full relation-set: 28
Initial matrix: 500419 x 572535 with sparse part having weight 41248883.
Pruned matrix : 442792 x 445358 with weight 28101844.
Total sieving time: 52.51 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 4.81 hours.
Total square root time: 0.34 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 57.94 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

872129782158233792110440795362543649954023480251741539294763244976946979043259196816200705125877018942721308771218136883684994106138959566906294693851<150>

5393696868579157005523711065632147602089029<43>
38447484784957009504048982784105217220178467777<47>
4205587262171089272039659014159109528298565349557528731191647<61>

Number: n
N=872129782158233792110440795362543649954023480251741539294763244976946979043259196816200705125877018942721308771218136883684994106138959566906294693851
  ( 150 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=5393696868579157005523711065632147602089029 (pp43)
 r2=38447484784957009504048982784105217220178467777 (pp47)
 r3=4205587262171089272039659014159109528298565349557528731191647 (pp61)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 96.76 hours.
Scaled time: 140.39 units (timescale=1.451).
Factorization parameters were as follows:
name: KA_1_8_163_1
n: 872129782158233792110440795362543649954023480251741539294763244976946979043259196816200705125877018942721308771218136883684994106138959566906294693851
skew: 1.00
deg: 5
c5: 17
c0: -710
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 4400001)
Primes: RFBsize:250150, AFBsize:249432, largePrimes:8074559 encountered
Relations: rels:7600831, finalFF:561306
Max relations in full relation-set: 28
Initial matrix: 499647 x 561306 with sparse part having weight 54689824.
Pruned matrix : 472890 x 475452 with weight 43077382.
Total sieving time: 87.19 hours.
Total relation processing time: 0.31 hours.
Matrix solve time: 9.05 hours.
Total square root time: 0.20 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 96.76 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

1825329931315300800903828355172001996656416128933119005508117804769257585582659512383777143680106332212925711617403703267839837227789771348804185345172887<154>

1104452615085621808528281839929327507501092871162291<52>
1652700990864867075451213479344319367803780935121458431710865579015107058129083254411956069524400585357<103>

Number: n
N=1825329931315300800903828355172001996656416128933119005508117804769257585582659512383777143680106332212925711617403703267839837227789771348804185345172887
  ( 154 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Nov 12 01:18:09 2007  prp52 factor: 1104452615085621808528281839929327507501092871162291
Mon Nov 12 01:18:09 2007  prp103 factor: 1652700990864867075451213479344319367803780935121458431710865579015107058129083254411956069524400585357
Mon Nov 12 01:18:09 2007  elapsed time 01:38:44 (Msieve 1.29)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 45.96 hours.
Scaled time: 60.94 units (timescale=1.326).
Factorization parameters were as follows:
name: KA_1_8_164_1
n: 1825329931315300800903828355172001996656416128933119005508117804769257585582659512383777143680106332212925711617403703267839837227789771348804185345172887
skew: 1.33
deg: 5
c5: 17
c0: -71
m: 1000000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2100000)
Primes: RFBsize:250150, AFBsize:249087, largePrimes:7336079 encountered
Relations: rels:6862148, finalFF:583606
Max relations in full relation-set: 28
Initial matrix: 499302 x 583606 with sparse part having weight 42516043.
Pruned matrix : 429944 x 432504 with weight 26149440.
Total sieving time: 45.69 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 45.96 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

79494700828105096536262747632443392114091741998308969919313290144152184368125300219065342374797788818332529066785577178097162584640889617<137>

11287051438658699299143517231<29>
7042999782550107442473856793722001489061020464152685802074161410436300456375341994080194974923341609998499007<109>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 79494700828105096536262747632443392114091741998308969919313290144152184368125300219065342374797788818332529066785577178097162584640889617 (137 digits)
Using B1=310000, B2=158242804, polynomial Dickson(3), sigma=3285997714
Step 1 took 4547ms
Step 2 took 2718ms
********** Factor found in step 2: 11287051438658699299143517231
Found probable prime factor of 29 digits: 11287051438658699299143517231
Probable prime cofactor 7042999782550107442473856793722001489061020464152685802074161410436300456375341994080194974923341609998499007 has 109 digits

341703081459662571210207609198015494320625314471004417601558825634197276156855326491008904198891745849699955529129213004102951121648105989712336329<147>

606358801893927140926280871016094140919046475645181465209783418848013921<72>
563532813232647866949989040863322605004839884920003591743383299672734470249<75>

N = 341703081459662571210207609198015494320625314471004417601558825634197276156855326491008904198891745849699955529129213004102951121648105989712336329 (147 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=606358801893927140926280871016094140919046475645181465209783418848013921 (pp72)
r2=563532813232647866949989040863322605004839884920003591743383299672734470249 (pp75)
Version: Msieve v. 1.48
Total time: 38.13 hours.
Factorization parameters were as follows:
name: (17*10^174-71)/9
n: 341703081459662571210207609198015494320625314471004417601558825634197276156855326491008904198891745849699955529129213004102951121648105989712336329
Y0: 10000000000000000000000000000000000
Y1: -1
c0: -71
c1: 0
c2: 0
c3: 0
c4: 0
c5: 170000
skew: 0.21
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20900474
Relations: 2479036 relations
Pruned matrix : 1413284 x 1413507
Polynomial selection time: 0.00 hours.
Total sieving time: 35.27 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.65 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 38.13 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

848449316084389817643011196778947409869968028866799271194363915265764135583327280771252139360363616774249883102288406904799<123>

1187282062146192125179089986736275870419<40>
375284494633543979200133045260994522261009<42>
1904194805934835770754653293450160027271669<43>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 848449316084389817643011196778947409869968028866799271194363915265764135583327280771252139360363616774249883102288406904799 (123 digits)
Using B1=4070000, B2=6203175820, polynomial Dickson(6), sigma=3789333963
Step 1 took 33585ms
Step 2 took 15161ms
********** Factor found in step 2: 1187282062146192125179089986736275870419
Found probable prime factor of 40 digits: 1187282062146192125179089986736275870419
Composite cofactor 714614785429074193724941033575218868394451441841244639514764707813514033355369054021 has 84 digits


Thu May 01 01:02:37 2008  
Thu May 01 01:02:37 2008  
Thu May 01 01:02:37 2008  Msieve v. 1.34
Thu May 01 01:02:37 2008  random seeds: 9e84d5d0 7d88e2a1
Thu May 01 01:02:37 2008  factoring 714614785429074193724941033575218868394451441841244639514764707813514033355369054021 (84 digits)
Thu May 01 01:02:37 2008  searching for 15-digit factors
Thu May 01 01:02:38 2008  commencing quadratic sieve (84-digit input)
Thu May 01 01:02:38 2008  using multiplier of 29
Thu May 01 01:02:38 2008  using 64kb Opteron sieve core
Thu May 01 01:02:38 2008  sieve interval: 6 blocks of size 65536
Thu May 01 01:02:38 2008  processing polynomials in batches of 17
Thu May 01 01:02:38 2008  using a sieve bound of 1405787 (53824 primes)
Thu May 01 01:02:38 2008  using large prime bound of 119491895 (26 bits)
Thu May 01 01:02:38 2008  using double large prime bound of 346106003521495 (41-49 bits)
Thu May 01 01:02:38 2008  using trial factoring cutoff of 49 bits
Thu May 01 01:02:38 2008  polynomial 'A' values have 11 factors
Thu May 01 01:25:48 2008  54118 relations (15886 full + 38232 combined from 576589 partial), need 53920
Thu May 01 01:25:48 2008  begin with 592474 relations
Thu May 01 01:25:49 2008  reduce to 127260 relations in 11 passes
Thu May 01 01:25:49 2008  attempting to read 127260 relations
Thu May 01 01:25:50 2008  recovered 127260 relations
Thu May 01 01:25:50 2008  recovered 105898 polynomials
Thu May 01 01:25:50 2008  attempting to build 54118 cycles
Thu May 01 01:25:50 2008  found 54117 cycles in 5 passes
Thu May 01 01:25:50 2008  distribution of cycle lengths:
Thu May 01 01:25:50 2008     length 1 : 15886
Thu May 01 01:25:50 2008     length 2 : 10845
Thu May 01 01:25:50 2008     length 3 : 9537
Thu May 01 01:25:50 2008     length 4 : 6918
Thu May 01 01:25:50 2008     length 5 : 4661
Thu May 01 01:25:50 2008     length 6 : 2830
Thu May 01 01:25:50 2008     length 7 : 1579
Thu May 01 01:25:50 2008     length 9+: 1861
Thu May 01 01:25:50 2008  largest cycle: 18 relations
Thu May 01 01:25:50 2008  matrix is 53824 x 54117 (11.4 MB) with weight 2766188 (51.11/col)
Thu May 01 01:25:50 2008  sparse part has weight 2766188 (51.11/col)
Thu May 01 01:25:51 2008  filtering completed in 3 passes
Thu May 01 01:25:51 2008  matrix is 49265 x 49329 (10.4 MB) with weight 2532773 (51.34/col)
Thu May 01 01:25:51 2008  sparse part has weight 2532773 (51.34/col)
Thu May 01 01:25:51 2008  saving the first 48 matrix rows for later
Thu May 01 01:25:51 2008  matrix is 49217 x 49329 (5.6 MB) with weight 1835858 (37.22/col)
Thu May 01 01:25:51 2008  sparse part has weight 1172093 (23.76/col)
Thu May 01 01:25:51 2008  matrix includes 64 packed rows
Thu May 01 01:25:51 2008  commencing Lanczos iteration
Thu May 01 01:25:51 2008  memory use: 7.5 MB
Thu May 01 01:26:37 2008  lanczos halted after 779 iterations (dim = 49213)
Thu May 01 01:26:37 2008  recovered 16 nontrivial dependencies
Thu May 01 01:26:38 2008  prp42 factor: 375284494633543979200133045260994522261009
Thu May 01 01:26:38 2008  prp43 factor: 1904194805934835770754653293450160027271669
Thu May 01 01:26:38 2008  elapsed time 00:24:01

537142500938193153830119950525039044025589396743751804504900908239708533889216571433041254570593410177855119728930729387840711597398876262059579123431<150>

4072666344303852025471241318149779975065134083676411388437471632933646633<73>
131889640723811333992627107001829612286109248667313492608268685498373498309007<78>

N=537142500938193153830119950525039044025589396743751804504900908239708533889216571433041254570593410177855119728930729387840711597398876262059579123431
  ( 150 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=4072666344303852025471241318149779975065134083676411388437471632933646633 (pp73)
 r2=131889640723811333992627107001829612286109248667313492608268685498373498309007 (pp78)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 82.01 hours.
Scaled time: 157.70 units (timescale=1.923).
Factorization parameters were as follows:
n: 537142500938193153830119950525039044025589396743751804504900908239708533889216571433041254570593410177855119728930729387840711597398876262059579123431
m: 1000000000000000000000000000000000000
deg: 5
c5: 17
c0: -71
skew: 1.33
# Murphy_E = 1.288e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 7650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1345674 x 1345905
Total sieving time: 79.44 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.15 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 82.01 hours.
 --------- CPU info (if available) ----------

114610122988601229416499973255968144630517735562976939767924432122030779487289851227128851042958570270931230626059758947564460527211050622357115020062331878327<159>

457947426902889196247998897290515604682571899877367538690627683796115338147561<78>
250269171209701042357906327079691988307666887757034326903766992258490370888661407<81>

N=114610122988601229416499973255968144630517735562976939767924432122030779487289851227128851042958570270931230626059758947564460527211050622357115020062331878327
  ( 159 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=457947426902889196247998897290515604682571899877367538690627683796115338147561 (pp78)
 r2=250269171209701042357906327079691988307666887757034326903766992258490370888661407 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 128.59 hours.
Scaled time: 235.31 units (timescale=1.830).
Factorization parameters were as follows:
n: 114610122988601229416499973255968144630517735562976939767924432122030779487289851227128851042958570270931230626059758947564460527211050622357115020062331878327
m: 1000000000000000000000000000000000000
deg: 5
c5: 170
c0: -71
skew: 0.84
# Murphy_E = 8.166e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 10200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1505024 x 1505255
Total sieving time: 125.28 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.81 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 128.59 hours.
 --------- CPU info (if available) ----------

787529307668421122439014520570164352831255131567007700212975660002754793340376818037408278846437485428921046607086940008738341650084451258951568173996679725131<159>

37981754841645418806837625935995850288171500913526177399<56>
20734410796757813335549719177468539766338681739212980547693795020685441981600993131646711408120162475469<104>

N=787529307668421122439014520570164352831255131567007700212975660002754793340376818037408278846437485428921046607086940008738341650084451258951568173996679725131
  ( 159 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=37981754841645418806837625935995850288171500913526177399 (pp56)
 r2=20734410796757813335549719177468539766338681739212980547693795020685441981600993131646711408120162475469 (pp104)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 127.34 hours.
Scaled time: 237.87 units (timescale=1.868).
Factorization parameters were as follows:
n: 787529307668421122439014520570164352831255131567007700212975660002754793340376818037408278846437485428921046607086940008738341650084451258951568173996679725131
m: 1000000000000000000000000000000000000
deg: 5
c5: 1700
c0: -71
skew: 0.53
# Murphy_E = 7.669e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3950000, 10350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1587222 x 1587452
Total sieving time: 124.33 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.59 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 127.34 hours.
 --------- CPU info (if available) ----------

26585389367622980285597634026808282856915211378205220420001757511984116964702632958717990400249729741198964996462743818335851565740519<134>

18543293116350605064910686457836670494730135279143185880000381167<65>
1433692990819480300852154956144879134223232858811117631855459105042057<70>

Number: n
N=26585389367622980285597634026808282856915211378205220420001757511984116964702632958717990400249729741198964996462743818335851565740519
  ( 134 digits)
Divisors found:

Fri Apr 27 20:53:50 2012  prp65 factor: 18543293116350605064910686457836670494730135279143185880000381167
Fri Apr 27 20:53:50 2012  prp70 factor: 1433692990819480300852154956144879134223232858811117631855459105042057
Fri Apr 27 20:53:50 2012  elapsed time 02:22:25 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.298).
Factorization parameters were as follows:
name: KA_18881_183
n: 26585389367622980285597634026808282856915211378205220420001757511984116964702632958717990400249729741198964996462743818335851565740519
skew: 128456.15
# norm 5.62e+17
c5: 47880
c4: -84768435765
c3: -5604632482983863
c2: 1745326903357377113866
c1: -29954339923684246442722285
c0: 5986186238264236200853844495
# alpha -5.02
Y1: 74549287863523
Y0: -56091619730577387936220974
# Murphy_E 4.94e-11
# M 20656323052199668957427864261657945526608756406635974745368443433282123226186242927386291427979036298905364227035828545149940993921826
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 24360000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2999845 hash collisions in 12960915 relations
Msieve: matrix is 1300942 x 1301167 (377.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

7837397762884798639603015665228822925481290494728769244088326364843557801668107684404758839648552377441440255861301236708095261147870681596040047793073609565801883866697651<172>

6793711049859145744961547412712008524607370816718948030796142881202663128578289<79>
1153625419945891235501238486978997234347838778909413972893536908821068079354856173932475167459<94>

N=7837397762884798639603015665228822925481290494728769244088326364843557801668107684404758839648552377441440255861301236708095261147870681596040047793073609565801883866697651
  ( 172 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=6793711049859145744961547412712008524607370816718948030796142881202663128578289 (pp79)
 r2=1153625419945891235501238486978997234347838778909413972893536908821068079354856173932475167459 (pp94)
Version: Msieve v. 1.47
Total time:
Scaled time: 12.10 units (timescale=0.524).
Factorization parameters were as follows:
n: 7837397762884798639603015665228822925481290494728769244088326364843557801668107684404758839648552377441440255861301236708095261147870681596040047793073609565801883866697651
m: 1000000000000000000000000000000000000
deg: 5
c5: 170000
c0: -71
skew: 0.21
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4300000, 14500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1895993 x 1896218
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time:

71708088612194997332336900547183617885480749918141214435902860743857761116677402192318925173519942056669706532487857050195749333232963<134>

16239490182899034514045301342480097361650555061381<50>
4415661317231933125338223400328456535346023653571411424407492129074153770578040445223<85>

N = 71708088612194997332336900547183617885480749918141214435902860743857761116677402192318925173519942056669706532487857050195749333232963 (134 digits)
SNFS difficulty: 187 digits.
Divisors found:
r1=16239490182899034514045301342480097361650555061381 (pp50)
r2=4415661317231933125338223400328456535346023653571411424407492129074153770578040445223 (pp85)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 32.00 hours.
Factorization parameters were as follows:
name: (17*10^185-71)/9
n: 71708088612194997332336900547183617885480749918141214435902860743857761116677402192318925173519942056669706532487857050195749333232963
Y0: 10000000000000000000000000000000000000
Y1: -1
c0: -71
c1: 0
c2: 0
c3: 0
c4: 0
c5: 17
skew: 1.33
type: snfs
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22293300
Relations: 2397450 relations
Pruned matrix : 1478995 x 1479220
Polynomial selection time: 0.00 hours.
Total sieving time: 30.06 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.70 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,55,55,2.5,2.5,100000
total time: 32.00 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

3356302268953847380249458481076437052201490325047888347122340327280030387017315192674034341101020207498522050977305988170429153156442471587816157897934274706796009901<166>

6263484916213832789846385879533844146258239331<46>
2540098180161678556463426132207000926251890655329<49>
210957284903813352616514417790254467181462713479241661811938225232925199<72>

N=3356302268953847380249458481076437052201490325047888347122340327280030387017315192674034341101020207498522050977305988170429153156442471587816157897934274706796009901
  ( 166 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=6263484916213832789846385879533844146258239331 (pp46)
 r2=2540098180161678556463426132207000926251890655329 (pp49)
 r3=210957284903813352616514417790254467181462713479241661811938225232925199 (pp72)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 186.36 hours.
Scaled time: 358.18 units (timescale=1.922).
Factorization parameters were as follows:
n: 3356302268953847380249458481076437052201490325047888347122340327280030387017315192674034341101020207498522050977305988170429153156442471587816157897934274706796009901
m: 10000000000000000000000000000000000000
deg: 5
c5: 170
c0: -71
skew: 0.84
# Murphy_E = 5.117e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4600000, 13600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1991433 x 1991657
Total sieving time: 181.84 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.91 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
total time: 186.36 hours.
 --------- CPU info (if available) ----------

4081278194295024648435515347186905661612250900475815338131509649223190034926450433393692316849514051688375213453550407493660820665387925384333907537965496216339415016424035758354173<181>

6703837968824142319548566209<28>
18284711636540291744488699704039629<35>
6046424374440345331609702538553541573262983367<46>
5506630666650624530936151410813003802749830770712958032362796387418558279<73>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 4081278194295024648435515347186905661612250900475815338131509649223190034926450433393692316849514051688375213453550407493660820665387925384333907537965496216339415016424035758354173 (181 digits)
Using B1=122000, B2=41904983, polynomial x^2, sigma=2661515564
Step 1 took 1799ms
Step 2 took 1007ms
********** Factor found in step 2: 6703837968824142319548566209
Found probable prime factor of 28 digits: 6703837968824142319548566209
Composite cofactor 608797261102491053157222470086494099170832541759962993771715777748476833378364762050958580897231439546824736239941873680813500968301952381610434046779197 has 153 digits


GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 608797261102491053157222470086494099170832541759962993771715777748476833378364762050958580897231439546824736239941873680813500968301952381610434046779197 (153 digits)
Using B1=1746000, B2=1857453894, polynomial Dickson(6), sigma=4178575634
Step 1 took 19560ms
Step 2 took 10033ms
********** Factor found in step 2: 18284711636540291744488699704039629
Found probable prime factor of 35 digits: 18284711636540291744488699704039629
Composite cofactor 33295425883877024213133089544859699420354642783993157073687282792277335584942812196574757512858061420648601761497145393 has 119 digits


Number: n
N=33295425883877024213133089544859699420354642783993157073687282792277335584942812196574757512858061420648601761497145393
  ( 119 digits)
Divisors found:
 r1=6046424374440345331609702538553541573262983367 (pp46)
 r2=5506630666650624530936151410813003802749830770712958032362796387418558279 (pp73)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 25.37 hours.
Scaled time: 46.26 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_1_8_187_1
n: 33295425883877024213133089544859699420354642783993157073687282792277335584942812196574757512858061420648601761497145393
skew: 64252.80
# norm 8.56e+16
c5: 80640
c4: -29279627402
c3: -2582745450093933
c2: 100280207548859379378
c1: 2258234003440599349820122
c0: -63862789341497878474545813540
# alpha -6.91
Y1: 3752897193449
Y0: -52865099013389977999601
# Murphy_E 3.30e-10
# M 4584119993252203722295177747872564209385270252930595333008198134004344128971819458287365846308288885592951846116008855
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 49/49
Sieved algebraic special-q in [100000, 2800001)
Primes: RFBsize:315948, AFBsize:316483, largePrimes:8200805 encountered
Relations: rels:7746394, finalFF:721237
Max relations in full relation-set: 48
Initial matrix: 632512 x 721237 with sparse part having weight 44335568.
Pruned matrix : 545734 x 548960 with weight 25937410.
Total sieving time: 23.18 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 1.77 hours.
Total square root time: 0.18 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,49,49,2.4,2.4,60000
total time: 25.37 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

713721320572161835952425940821028245908329503806862456004886005577420054467244827323363096684513978748912648200246868295107834390009<132>

1912676372795150025632328978462702508991135669<46>
373153206012129821315686320158548131720389552387155666539865982574221376301248180391861<87>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2333727894
Step 1 took 42645ms
Step 2 took 16941ms
********** Factor found in step 2: 1912676372795150025632328978462702508991135669
Found probable prime factor of 46 digits: 1912676372795150025632328978462702508991135669
Probable prime cofactor 373153206012129821315686320158548131720389552387155666539865982574221376301248180391861 has 87 digits

GMP-ECM 6.2.1

31024109427191595975910326818045676473418478141072950495723050957626474082764752530612306344380417404415561432313929329330562559629382613055557718363191312153113<161>

393500811024611853476836425098662716573266041306417<51>
78841284586961539532203066788069131549957240102867354664422585887973746095417209306966517892597653418947146089<110>

Factors: 78841284586961539532203066788069131549957240102867354664422585887973746095417209306966517892597653418947146089 393500811024611853476836425098662716573266041306417
Info:Square Root: Total cpu/real time for sqrt: 3151.29/430.853
Info:Square Root: Total cpu/real time for sqrt: 3151.29/430.853
Info:Filtering - Singleton removal: Total cpu/real time for purge: 230.84/83.198
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 800.83/219.521
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 182.10000000000002s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55066011
Info:Lattice Sieving: Average J: 3790.75 for 598596 special-q, max bucket fill -bkmult 1.0,1s:1.193980
Info:Lattice Sieving: Total time: 286446s
Info:Generate Free Relations: Total cpu/real time for freerel: 623.01/79.6018
Info:Linear Algebra: Total cpu/real time for bwc: 65862.8/16806.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 41400.97, WCT time 10615.9, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68000 iterations)
Info:Linear Algebra: Lingen CPU time 860.08, WCT time 110.17
Info:Linear Algebra: Mksol: CPU time 22451.3,  WCT time 5749.91, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 37.51/6.6786
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 129.78/216.063
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 216.0s
Info:Filtering - Merging: Total cpu/real time for merge: 344.18/55.5736
Info:Filtering - Merging: Total cpu/real time for replay: 66.64/55.857
Info:Quadratic Characters: Total cpu/real time for characters: 88.28/23.7532
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.62082e+06/26403.2
78841284586961539532203066788069131549957240102867354664422585887973746095417209306966517892597653418947146089 393500811024611853476836425098662716573266041306417

CADO-NFS

19501320369636599056543809880564149869970974578467123656307870070729671694675354965246816737415936856321936497869519898616612422923911112663806853487508720634939147<164>

8800750775437159575287156031788253529341934276447<49>
2215870085091451783697819408148921047898524918901704488845204272947796799576797579668185371069198543475235721094101<115>

19501320369636599056543809880564149869970974578467123656307870070729671694675354965246816737415936856321936497869519898616612422923911112663806853487508720634939147=8800750775437159575287156031788253529341934276447*2215870085091451783697819408148921047898524918901704488845204272947796799576797579668185371069198543475235721094101

cado polynomial
n: 19501320369636599056543809880564149869970974578467123656307870070729671694675354965246816737415936856321936497869519898616612422923911112663806853487508720634939147
skew: 0.53
type: snfs
c0: -71
c5: 1700
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 1700*x^5-71
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11600000
tasks.lim1 = 11600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2215870085091451783697819408148921047898524918901704488845204272947796799576797579668185371069198543475235721094101 8800750775437159575287156031788253529341934276447
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.92/2.11273
Info:Generate Free Relations: Total cpu/real time for freerel: 102.82/26.4865
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27668938
Info:Lattice Sieving: Average J: 1893.73 for 2549012 special-q, max bucket fill -bkmult 1.0,1s:1.139710
Info:Lattice Sieving: Total time: 725054s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.03/126.53
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 125.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 466.31/384.357
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 324.70000000000005s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 402.93/444.526
Info:Filtering - Merging: Merged matrix has 2273702 rows and total weight 390912970 (171.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 317.62/140.699
Info:Filtering - Merging: Total cpu/real time for replay: 89.67/81.2582
Info:Linear Algebra: Total cpu/real time for bwc: 90986.2/33062.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 17416.22, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (71168 iterations)
Info:Linear Algebra: Lingen CPU time 2576.34, WCT time 1273.0
Info:Linear Algebra: Mksol: WCT time 14152.49, iteration CPU time 0.34, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (35840 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 80.25/47.6236
Info:Square Root: Total cpu/real time for sqrt: 1762.78/801.592
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.43205e+06/78671.3
Info:root: Cleaning up computation data in /tmp/cado.drob1230
2215870085091451783697819408148921047898524918901704488845204272947796799576797579668185371069198543475235721094101 8800750775437159575287156031788253529341934276447

cado-nfs-3.0.0

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

545826498093011871441688642479259504041283061123554586469819861859389894946467489199080893852931993824875963703801740289530014752159<132>

161717005463763229314052167087808349602007946617538073<54>
3375195431845403879468502838102273698770496303316006714757004825720917522417783<79>

N = 545826498093011871441688642479259504041283061123554586469819861859389894946467489199080893852931993824875963703801740289530014752159 (132 digits)
Divisors found:
r1=161717005463763229314052167087808349602007946617538073 (pp54)
r2=3375195431845403879468502838102273698770496303316006714757004825720917522417783 (pp79)
Version: Msieve v. 1.47
Total time: 59.62 hours.
Factorization parameters were as follows:
n: 545826498093011871441688642479259504041283061123554586469819861859389894946467489199080893852931993824875963703801740289530014752159
Y0: -26192035923945107482766694
Y1: 354289823658071
c0: -4161857348336243365095111889625
c1: -36131836220448483862445345
c2: 851923949960810820509
c3: -1968275742107407
c4: 5386193268
c5: 44280
skew: 199837.02
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20875926
Relations: 2805624 relations
Pruned matrix : 1617733 x 1617958
Polynomial selection time: 0.00 hours.
Total sieving time: 52.95 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 6.37 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 59.62 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

782606851939720869977133831016188331780612331491037832075619133234440740615806662729410282802784105557296510467540853818502800692100974611425129106487091576591760773879063764051<177>

4425015506302491253122739041986890347972616157<46>
176859685762697158332597652717921471946422930526878457220518651279984687929070253933094417935097288434148162623084752379563475304943<132>

p46 factor: 4425015506302491253122739041986890347972616157
p132 factor: 176859685762697158332597652717921471946422930526878457220518651279984687929070253933094417935097288434148162623084752379563475304943


Msieve v. 1.54 (SVN 1034)
random seeds: d793fdb5 b13445a9
factoring 782606851939720869977133831016188331780612331491037832075619133234440740615806662729410282802784105557296510467540853818502800692100974611425129106487091576591760773879063764051 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 17
skew 1.00, size 1.797e-13, alpha -0.797, combined = 2.731e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2407142 hash collisions in 37613159 relations
added 727298 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38340457 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1247.0 MB
keeping 40336527 ideals with weight <= 200, target excess is 206525
commencing in-memory singleton removal
begin with 38340457 relations and 40336527 unique ideals
reduce to 15268666 relations and 13401132 ideals in 14 passes
max relations containing the same ideal: 110
removing 2060481 relations and 1660481 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13208185 relations and 13401132 unique ideals
reduce to 12977786 relations and 11502469 ideals in 9 passes
max relations containing the same ideal: 102
removing 1642505 relations and 1242505 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11335281 relations and 11502469 unique ideals
reduce to 11164961 relations and 10084308 ideals in 10 passes
max relations containing the same ideal: 88
removing 1536477 relations and 1136477 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9628484 relations and 10084308 unique ideals
reduce to 9450830 relations and 8764237 ideals in 9 passes
max relations containing the same ideal: 81
removing 1511270 relations and 1111270 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7939560 relations and 8764237 unique ideals
reduce to 7727686 relations and 7432698 ideals in 8 passes
max relations containing the same ideal: 71
removing 330302 relations and 274883 ideals in 55419 cliques
commencing in-memory singleton removal
begin with 7397384 relations and 7432698 unique ideals
reduce to 7386293 relations and 7146657 ideals in 6 passes
max relations containing the same ideal: 68
relations with 0 large ideals: 4349
relations with 1 large ideals: 13566
relations with 2 large ideals: 105420
relations with 3 large ideals: 456902
relations with 4 large ideals: 1180439
relations with 5 large ideals: 1898293
relations with 6 large ideals: 1981375
relations with 7+ large ideals: 1745949
commencing 2-way merge
reduce to 4565161 relation sets and 4325525 unique ideals
commencing full merge
memory use: 492.2 MB
found 2110984 cycles, need 2083725
weight of 2083725 cycles is about 187758369 (90.11/cycle)
distribution of cycle lengths:
1 relations: 164896
2 relations: 166221
3 relations: 177711
4 relations: 176202
5 relations: 174230
6 relations: 162678
7 relations: 154206
8 relations: 140719
9 relations: 127359
10+ relations: 639503
heaviest cycle: 26 relations
commencing cycle optimization
start with 15589716 relations
pruned 527732 relations
memory use: 460.7 MB
distribution of cycle lengths:
1 relations: 164896
2 relations: 170344
3 relations: 184455
4 relations: 182217
5 relations: 180731
6 relations: 168517
7 relations: 159170
8 relations: 144657
9 relations: 130292
10+ relations: 598446
heaviest cycle: 26 relations
RelProcTime: 937
elapsed time 00:15:39


Msieve v. 1.54 (SVN 1034)
random seeds: 2ad0ee82 b39ecd99
factoring 782606851939720869977133831016188331780612331491037832075619133234440740615806662729410282802784105557296510467540853818502800692100974611425129106487091576591760773879063764051 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 17
skew 1.00, size 1.797e-13, alpha -0.797, combined = 2.731e-11 rroots = 1

commencing linear algebra
read 2083725 cycles
cycles contain 7232309 unique relations
read 7232309 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 906.7 MB
read 2083725 cycles
matrix is 2083547 x 2083725 (765.6 MB) with weight 231678594 (111.18/col)
sparse part has weight 177784004 (85.32/col)
filtering completed in 2 passes
matrix is 2082890 x 2083068 (765.6 MB) with weight 231654199 (111.21/col)
sparse part has weight 177776600 (85.34/col)
matrix starts at (0, 0)
matrix is 2082890 x 2083068 (765.6 MB) with weight 231654199 (111.21/col)
sparse part has weight 177776600 (85.34/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2082842 x 2083068 (735.3 MB) with weight 190179419 (91.30/col)
sparse part has weight 171916790 (82.53/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 695.3 MB
linear algebra at 0.1%, ETA 1h53m
checkpointing every 1050000 dimensions
lanczos halted after 32940 iterations (dim = 2082836)
recovered 33 nontrivial dependencies
BLanczosTime: 7153
elapsed time 01:59:14


Msieve v. 1.54 (SVN 1034)
random seeds: eaa5aea5 271690ea
factoring 782606851939720869977133831016188331780612331491037832075619133234440740615806662729410282802784105557296510467540853818502800692100974611425129106487091576591760773879063764051 (177 digits)
searching for 15-digit factors
commencing number field sieve (177-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 17
skew 1.00, size 1.797e-13, alpha -0.797, combined = 2.731e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1040563 cycles
cycles contain 3616346 unique relations
read 3616346 relations
multiplying 3616346 relations
multiply complete, coefficients have about 95.48 million bits
initial square root is modulo 7138771
sqrtTime: 178
p46 factor: 4425015506302491253122739041986890347972616157
p132 factor: 176859685762697158332597652717921471946422930526878457220518651279984687929070253933094417935097288434148162623084752379563475304943
elapsed time 00:02:59

CADO-NFS/Msieve

2264710267089090303550999326665459513987959562891703424291678324308227235914542552264334707720961276109010251759266372406696056688138980554209602974292555550704734001184641514603903639547<187>

6484318817072200664220252344377<31>

349259549226120898816318561825819172354659038159561997366757349200839837492502651538230943161399611740470482506153445896948591808813671085174887996739488211<156>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1746000186
Step 1 took 23750ms
Step 2 took 15893ms
********** Factor found in step 2: 6484318817072200664220252344377
Found probable prime factor of 31 digits: 6484318817072200664220252344377
Composite cofactor 349259549226120898816318561825819172354659038159561997366757349200839837492502651538230943161399611740470482506153445896948591808813671085174887996739488211 has 156 digits

GMP-ECM 6.2.1

349259549226120898816318561825819172354659038159561997366757349200839837492502651538230943161399611740470482506153445896948591808813671085174887996739488211<156>

266008689169421711041548379520301884259782751537055261<54>
1312962934844870694659028851685005898108436996610836859156494519998488036527464003357136841727237835951<103>

349259549226120898816318561825819172354659038159561997366757349200839837492502651538230943161399611740470482506153445896948591808813671085174887996739488211=1312962934844870694659028851685005898108436996610836859156494519998488036527464003357136841727237835951 266008689169421711041548379520301884259782751537055261

cado polynomial
n: 349259549226120898816318561825819172354659038159561997366757349200839837492502651538230943161399611740470482506153445896948591808813671085174887996739488211
skew: 1.86
type: snfs
c0: -710
c6: 17
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^6-710
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14600000
tasks.lim1 = 14600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1312962934844870694659028851685005898108436996610836859156494519998488036527464003357136841727237835951 266008689169421711041548379520301884259782751537055261
Info:Square Root: Total cpu/real time for sqrt: 758.89/231.293
Info:Generate Free Relations: Total cpu/real time for freerel: 182.1/46.7679
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 123.32/143.933
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 143.20000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 553.04/558.139
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 456.00000000000006s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.51/3.77066
Info:Linear Algebra: Total cpu/real time for bwc: 123885/31697.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 79539.68, WCT time 20279.4, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (83456 iterations)
Info:Linear Algebra: Lingen CPU time 572.52, WCT time 145.17
Info:Linear Algebra: Mksol: CPU time 42806.45,  WCT time 10928.3, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41984 iterations)
Info:Square Root: Total cpu/real time for sqrt: 758.89/231.293
Info:Filtering - Merging: Merged matrix has 2655279 rows and total weight 452121548 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 736.74/204.286
Info:Filtering - Merging: Total cpu/real time for replay: 105.57/91.4667
Info:Filtering - Singleton removal: Total cpu/real time for purge: 433.44/514.38
Info:Quadratic Characters: Total cpu/real time for characters: 91.59/40.8897
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28713488
Info:Lattice Sieving: Average J: 1894.63 for 3769556 special-q, max bucket fill -bkmult 1.0,1s:1.177110
Info:Lattice Sieving: Total time: 829591s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.68126e+06/287528
1312962934844870694659028851685005898108436996610836859156494519998488036527464003357136841727237835951 266008689169421711041548379520301884259782751537055261

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

10373301595088653896763173837014386989913069334492802029036788008646674371377345018744718958716260487887697720956176048386206910635538052895958335930105974325958935097540961518595859<182>

568085805573973789163262484271915200672351<42>
494688803071797093880512893541330246493612081923667353989233<60>
36912289756815203595589584098230814197762349183760991867160072165212610668722973<80>

10373301595088653896763173837014386989913069334492802029036788008646674371377345018744718958716260487887697720956176048386206910635538052895958335930105974325958935097540961518595859=568085805573973789163262484271915200672351*494688803071797093880512893541330246493612081923667353989233*36912289756815203595589584098230814197762349183760991867160072165212610668722973

cado polynomial
n: 10373301595088653896763173837014386989913069334492802029036788008646674371377345018744718958716260487887697720956176048386206910635538052895958335930105974325958935097540961518595859
skew: 0.33
type: snfs
c0: -71
c5: 17000
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 17000*x^5-71
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14600000
tasks.lim1 = 14600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 494688803071797093880512893541330246493612081923667353989233 568085805573973789163262484271915200672351 36912289756815203595589584098230814197762349183760991867160072165212610668722973
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.35/2.43164
Info:Generate Free Relations: Total cpu/real time for freerel: 99.96/25.6167
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33045819
Info:Lattice Sieving: Average J: 1895.84 for 6267628 special-q, max bucket fill -bkmult 1.0,1s:1.151450
Info:Lattice Sieving: Total time: 1.90426e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 66.35/173.55
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 172.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 587.8/597.511
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 523.5000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 515.91/590.41
Info:Filtering - Merging: Merged matrix has 3266475 rows and total weight 559151796 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 458.9/133.129
Info:Filtering - Merging: Total cpu/real time for replay: 128.77/112.687
Info:Linear Algebra: Total cpu/real time for bwc: 195901/50068.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 32093.98, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (102400 iterations)
Info:Linear Algebra: Lingen CPU time 680.44, WCT time 195.92
Info:Linear Algebra: Mksol: WCT time 17388.05, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51200 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 112.49/47.767
Info:Square Root: Total cpu/real time for sqrt: 1858.72/558.765
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.73022e+06/82650.2
494688803071797093880512893541330246493612081923667353989233 568085805573973789163262484271915200672351 36912289756815203595589584098230814197762349183760991867160072165212610668722973

cado-nfs-3.0.0

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

4896410713995004646799919398518436600214093480106690218808583614877370631061721428493686817927771886140179826256964070742697531754534378271559976496047475799855811421933498089<175>

22030879712705358600917128333830295651756256154670274552234135459967847121<74>
222252165045012305617229581459737734267357026958229050496637965540874424009389793207630944877273594009<102>

4896410713995004646799919398518436600214093480106690218808583614877370631061721428493686817927771886140179826256964070742697531754534378271559976496047475799855811421933498089=22030879712705358600917128333830295651756256154670274552234135459967847121*222252165045012305617229581459737734267357026958229050496637965540874424009389793207630944877273594009

cado polynomial
n: 4896410713995004646799919398518436600214093480106690218808583614877370631061721428493686817927771886140179826256964070742697531754534378271559976496047475799855811421933498089
skew: 2.11
type: snfs
c0: -710
c5: 17
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-710
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15800000
tasks.lim1 = 15800000
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: 22030879712705358600917128333830295651756256154670274552234135459967847121 222252165045012305617229581459737734267357026958229050496637965540874424009389793207630944877273594009
Info:Square Root: Total cpu/real time for sqrt: 1025.58/326.298
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49138522
Info:Lattice Sieving: Average J: 1893.78 for 4948537 special-q, max bucket fill -bkmult 1.0,1s:1.133160
Info:Lattice Sieving: Total time: 1.26495e+06s
Info:Square Root: Total cpu/real time for sqrt: 1025.58/326.298
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 210.39/254.04
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 253.2s
Info:Filtering - Merging: Merged matrix has 3654384 rows and total weight 621250922 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1062.33/292.583
Info:Filtering - Merging: Total cpu/real time for replay: 149.89/137.333
Info:Linear Algebra: Total cpu/real time for bwc: 249471/63864.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 160913.83, WCT time 41034.79, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (114688 iterations)
Info:Linear Algebra: Lingen CPU time 823.41, WCT time 209.03
Info:Linear Algebra: Mksol: CPU time 86253.21,  WCT time 22039.74, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57344 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 895.29/893.897
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 731.9000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 132.54/56.3535
Info:Generate Factor Base: Total cpu/real time for makefb: 6.64/3.00177
Info:Filtering - Singleton removal: Total cpu/real time for purge: 659.84/741.3
Info:Generate Free Relations: Total cpu/real time for freerel: 238.66/62.4165
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.70287e+06/189663
Info:root: Cleaning up computation data in /tmp/cado.d_19_fno
22030879712705358600917128333830295651756256154670274552234135459967847121 222252165045012305617229581459737734267357026958229050496637965540874424009389793207630944877273594009

cado-nfs-3.0.0

3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

252032736858901598369572938055604239655681900032705823012115878194249942017784031194667050829676723063871760780542632320419430168638628646761913645894385192776273097184856533143<177>

451615796298192738353020451324043674099<39>
7469627141567855558655557330898028744381914198723203307326651<61>
74711749749106013081640785966299343039057369289286993982687469888295108554007<77>

Number: n
N=252032736858901598369572938055604239655681900032705823012115878194249942017784031194667050829676723063871760780542632320419430168638628646761913645894385192776273097184856533143
  ( 177 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Oct  1 06:12:17 2012  prp39 factor: 451615796298192738353020451324043674099
Mon Oct  1 06:12:17 2012  prp61 factor: 7469627141567855558655557330898028744381914198723203307326651
Mon Oct  1 06:12:17 2012  prp77 factor: 74711749749106013081640785966299343039057369289286993982687469888295108554007
Mon Oct  1 06:12:17 2012  elapsed time 04:35:21 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_18881_200
n: 252032736858901598369572938055604239655681900032705823012115878194249942017784031194667050829676723063871760780542632320419430168638628646761913645894385192776273097184856533143
m: 10000000000000000000000000000000000000000
#  c177, diff: 201.23
skew: 1.331
deg: 5
c5: 17
c0: -71
# Murphy_E = 1.938e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 19300000)
Primes: RFBsize:1019012, AFBsize:1019053,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9094577 hash collisions in 66331046 relations (60123521 unique)
Msieve: matrix is 1601507 x 1601732 (454.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15800000,15800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

1004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001<199>

31796547805938039585419897133828643824175198297400217410326127120499602656036681<80>
31581855765568131622365268544816053167111216708269624694240156229897664987109651071437679829309807053542389173817280721<119>

Number: n
N=1004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001
  ( 199 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Jan  5 12:29:49 2014  prp80 factor: 31796547805938039585419897133828643824175198297400217410326127120499602656036681
Sun Jan  5 12:29:49 2014  prp119 factor: 31581855765568131622365268544816053167111216708269624694240156229897664987109651071437679829309807053542389173817280721
Sun Jan  5 12:29:49 2014  elapsed time 07:46:22 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
#  17*10^201-71 - 18(200)1
#
#  c199, diff: 202.23
#
skew: 0.84
n: 1004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001004193986650127001
m: 10000000000000000000000000000000000000000
deg: 5
c5: 170
c0: -71
# Murphy_E = 1.227e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 14200000)
Primes: RFBsize:1055139, AFBsize:1055414,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7352339 hash collisions in 53553699 relations (48202236 unique)
Msieve: matrix is 2194863 x 2195089 (623.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 6hrs 44min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 19min 50sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

8428687072065494737270043059199070436512515228492510748317321156304171087662569729887259021343593668551798074021610147576736133445733535701234454832156083295928056875532411<172>

4158984183722487084191942146869861139<37>
2026621573857831338045512775981552862573222463093375564411127698517558702806243735924066323235163425400384396934366608093345795476179449<136>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=122793728
Step 1 took 7878ms
Step 2 took 5928ms
********** Factor found in step 2: 4158984183722487084191942146869861139
Found probable prime factor of 37 digits: 4158984183722487084191942146869861139
Probable prime cofactor 2026621573857831338045512775981552862573222463093375564411127698517558702806243735924066323235163425400384396934366608093345795476179449 has 136 digits

GMP-ECM 6.3

35015042658006786679763137949219655192173355901630157536321538131595058663845265907310018861075261716767847272041222933905467485121764581763055354984490753723<158>

699082250437446175915990944242889873428768430339440540698868060844133<69>
50087157321039621943157226174456870434512516169837760285825329279987885079087452897923231<89>

Number: 18881_204
N = 35015042658006786679763137949219655192173355901630157536321538131595058663845265907310018861075261716767847272041222933905467485121764581763055354984490753723 (158 digits)
SNFS difficulty: 206 digits.
Divisors found:
r1=699082250437446175915990944242889873428768430339440540698868060844133 (pp69)
r2=50087157321039621943157226174456870434512516169837760285825329279987885079087452897923231 (pp89)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 168.19 hours.
Factorization parameters were as follows:
n: 35015042658006786679763137949219655192173355901630157536321538131595058663845265907310018861075261716767847272041222933905467485121764581763055354984490753723
m: 50000000000000000000000000000000000000000
deg: 5
c5: 272
c0: -355
skew: 1.05
# Murphy_E = 8.059e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 40501135
Relations: 6577574 relations
Pruned matrix : 3969386 x 3969613
Total sieving time: 148.40 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 19.28 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,206,5,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time: 168.19 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.29GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

1348865829858205128700601414187296685412305228668071904789225608558274852905963253441110984694056670970268244162045972063478457584452775110744122360097851421033621911329035356748514599425851106601<196>

176633663488590332465773191963214649493197918934681566782286802357951015526301047<81>
7636516183934186698669888029579156734981310137958184932745902308648794159814985799189916051275716634034754814745183<115>

Number: n
N=1348865829858205128700601414187296685412305228668071904789225608558274852905963253441110984694056670970268244162045972063478457584452775110744122360097851421033621911329035356748514599425851106601  ( 196 digits)
SNFS difficulty: 206 digits.
Divisors found:

Fri Jan 12 05:53:13 2024  prp81 factor: 176633663488590332465773191963214649493197918934681566782286802357951015526301047
Fri Jan 12 05:53:13 2024  prp115 factor: 7636516183934186698669888029579156734981310137958184932745902308648794159814985799189916051275716634034754814745183
Fri Jan 12 05:53:13 2024  elapsed time 02:26:42 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 17x10^205-71 = 18(204)1
#
n: 1348865829858205128700601414187296685412305228668071904789225608558274852905963253441110984694056670970268244162045972063478457584452775110744122360097851421033621911329035356748514599425851106601
m: 100000000000000000000000000000000000000000
deg: 5
c5: 17
c0: -71
skew: 1.33
# Murphy_E = 1.195e-11
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3094029 hash collisions in 19247357 relations (16654990 unique)
Msieve: matrix is 2146167 x 2146392 (609.3 MB)

Sieving start time: 2024/01/11 13:14:27
Sieving end time  : 2024/01/12 03:26:06

Total sieving time: 14hrs 11min 39secs.

Total relation processing time: 2hrs 16min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 36sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19200000,19200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

204633724549542359685014112285303073977651146574435195787735511167713560624966769566356840900785251651035133633215849794285919926482839269983469842538672657992834828527484493655699<180>

1198148322537851144198630823770008802780461770579320855756994163<64>
170791646326473657815423934250228253162578837517806507346520361035669348391316793398615800381465945537742128904568673<117>

Number: n
N=204633724549542359685014112285303073977651146574435195787735511167713560624966769566356840900785251651035133633215849794285919926482839269983469842538672657992834828527484493655699  ( 180 digits)
SNFS difficulty: 207 digits.
Divisors found:

Tue Jun 11 13:31:48 2024  prp64 factor: 1198148322537851144198630823770008802780461770579320855756994163
Tue Jun 11 13:31:48 2024  prp117 factor: 170791646326473657815423934250228253162578837517806507346520361035669348391316793398615800381465945537742128904568673
Tue Jun 11 13:31:48 2024  elapsed time 03:23:01 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.956).
Factorization parameters were as follows:
#
# N = 17x10^206-71 = 18(205)1
#
n: 204633724549542359685014112285303073977651146574435195787735511167713560624966769566356840900785251651035133633215849794285919926482839269983469842538672657992834828527484493655699
m: 100000000000000000000000000000000000000000
deg: 5
c5: 170
c0: -71
skew: 0.84
# Murphy_E = 7.558e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49950000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4687339 hash collisions in 21482048 relations (16859700 unique)
Msieve: matrix is 2488791 x 2489016 (701.5 MB)

Sieving start time: 2024/06/10 13:44:58
Sieving end time  : 2024/06/11 10:08:23

Total sieving time: 20hrs 23min 25secs.

Total relation processing time: 3hrs 11min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 12sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<209>

36243124228749527250619005135239913770824247<44>

521171650922561756098294752246291746566735923235146544019288271817859876005399925740743765495324487213662036917517975952682665041523090432428038935856033066014289623<165>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4268315234
Step 1 took 82767ms
Step 2 took 28543ms
********** Factor found in step 2: 36243124228749527250619005135239913770824247
Found probable prime factor of 44 digits: 36243124228749527250619005135239913770824247

521171650922561756098294752246291746566735923235146544019288271817859876005399925740743765495324487213662036917517975952682665041523090432428038935856033066014289623<165>

9047300291906534767435210968501412560970502125435739<52>
57605211953535745492913714794113544064888405482298323433666242048534949686649890089519691795713694626982654197557<113>

10/29/24 17:15:12 v1.34.5 @ RYZEN-9,
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, ****************************
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, Starting factorization of 169999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, using pretesting plan: normal
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, ****************************
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, div: found prime factor = 3
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C209
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C209
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C209
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C209
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 64.31
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C209 input, B1=2K, B2=gmp-ecm default
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
10/29/24 17:15:12 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 64.31
10/29/24 17:15:15 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C209 input, B1=11K, B2=gmp-ecm default
10/29/24 17:15:15 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
10/29/24 17:15:15 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 64.31
10/29/24 17:18:10 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 169999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
10/29/24 17:18:10 v1.34.5 @ RYZEN-9, nfs: input divides 17*10^208 - 71
10/29/24 17:18:10 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 521171650922561756098294752246291746566735923235146544019288271817859876005399925740743765495324487213662036917517975952682665041523090432428038935856033066014289623
10/29/24 17:18:10 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c165: 521171650922561756098294752246291746566735923235146544019288271817859876005399925740743765495324487213662036917517975952682665041523090432428038935856033066014289623
10/29/24 17:18:10 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 521171650922561756098294752246291746566735923235146544019288271817859876005399925740743765495324487213662036917517975952682665041523090432428038935856033066014289623
# 17*10^208-71, difficulty: 212.23, anorm: -4.47e+027, rnorm: 1.73e+047
# scaled difficulty: 215.50, suggest sieving rational side
# size = 9.158e-015, alpha = -0.616, combined = 4.654e-012, rroots = 1
type: snfs
size: 212
skew: 0.3343
c5: 17000
c0: -71
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 521171650922561756098294752246291746566735923235146544019288271817859876005399925740743765495324487213662036917517975952682665041523090432428038935856033066014289623
# 17*10^208-71, difficulty: 209.83, anorm: -1.76e+026, rnorm: 2.45e+047
# scaled difficulty: 213.36, suggest sieving rational side
# size = 8.479e-015, alpha = -0.385, combined = 4.418e-012, rroots = 1
type: snfs
size: 209
skew: 0.6686
c5: 2125
c0: -284
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 521171650922561756098294752246291746566735923235146544019288271817859876005399925740743765495324487213662036917517975952682665041523090432428038935856033066014289623
# 17*10^208-71, difficulty: 210.63, anorm: -1.34e+032, rnorm: 4.28e+040
# scaled difficulty: 212.05, suggest sieving rational side
# size = 1.053e-010, alpha = -0.695, combined = 3.473e-012, rroots = 2
type: snfs
size: 210
skew: 1.3670
c6: 272
c0: -1775
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
10/29/24 17:18:12 v1.34.5 @ RYZEN-9, test: fb generation took 1.9219 seconds
10/29/24 17:18:12 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 22600000-22602000
skew: 0.3343
c5: 17000
c0: -71
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
10/29/24 17:21:25 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/29/24 17:21:27 v1.34.5 @ RYZEN-9, test: fb generation took 1.7657 seconds
10/29/24 17:21:27 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.6686
c5: 2125
c0: -284
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/29/24 17:24:40 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/29/24 17:24:43 v1.34.5 @ RYZEN-9, test: fb generation took 2.5313 seconds
10/29/24 17:24:43 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 1.3670
c6: 272
c0: -1775
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
10/29/24 17:27:46 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
10/29/24 17:27:46 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 521171650922561756098294752246291746566735923235146544019288271817859876005399925740743765495324487213662036917517975952682665041523090432428038935856033066014289623
# 17*10^208-71, difficulty: 209.83, anorm: -1.76e+026, rnorm: 2.45e+047
# scaled difficulty: 213.36, suggest sieving rational side
# size = 8.479e-015, alpha = -0.385, combined = 4.418e-012, rroots = 1
type: snfs
size: 209
skew: 0.6686
c5: 2125
c0: -284
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
10/31/24 07:05:26 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/31/24 07:08:04 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22139379
10/31/24 09:19:08 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/31/24 09:21:22 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23285661
10/31/24 11:45:38 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/31/24 11:47:58 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24528309
10/31/24 14:13:30 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/31/24 14:15:57 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25757268
10/31/24 16:54:16 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/31/24 16:56:50 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27075539
10/31/24 19:47:13 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/31/24 19:49:53 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 28487383
10/31/24 22:53:19 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
10/31/24 22:58:11 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
11/01/24 03:20:27 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
11/01/24 03:24:36 v1.34.5 @ RYZEN-9, prp113 = 57605211953535745492913714794113544064888405482298323433666242048534949686649890089519691795713694626982654197557
11/01/24 03:24:36 v1.34.5 @ RYZEN-9, prp52 = 9047300291906534767435210968501412560970502125435739
11/01/24 03:24:36 v1.34.5 @ RYZEN-9, NFS elapsed time = 209186.4310 seconds.
11/01/24 03:24:36 v1.34.5 @ RYZEN-9,
11/01/24 03:24:36 v1.34.5 @ RYZEN-9,
10/29/24 17:27:46 v1.34.5 @ RYZEN-9, test: test sieving took 576.38 seconds

YAFU

103759292640825046131296493330130666359417336891285594649882062704375452174839879878043117345207251027711236645086913604822955422798098293515020792715764826286848105654893722122272099<183>

2759655091876646524073173872216391<34>
37598645188035320504240783314020069148997867005889530116033867425202182437565096417682158045129188654774473311723694037726303977097629374490574256389<149>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=162219322
Step 1 took 118417ms
Step 2 took 37055ms
********** Factor found in step 2: 2759655091876646524073173872216391
Found probable prime factor of 34 digits: 2759655091876646524073173872216391

244555787163120193569872304682984330655985280373427541322552111834371359377925760902031756715538281779354537802890667398535392229167546092393840168039402136835879478529778161<174>

1518855380832414819097923413570237795687078175436056184548640698412457962817223303058088852261847705589010011587958470700984437867887974799182674979286486574933105434987<169>

47338978823271008202631401698167<32>
91428095645728819504244809288662307<35>
350927873615399411027463051075430196767244845425762905917529044681037194687199089150276124492002378223<102>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1876526037
Step 1 took 9470ms
Step 2 took 5787ms
********** Factor found in step 2: 47338978823271008202631401698167
Found probable prime factor of 32 digits: 47338978823271008202631401698167
Composite cofactor 32084667193660972375169620044046441793659800149013867172743647228736434042607633571503008975246930793286034954276445654483003954337740461 has 137 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=161915024
Step 1 took 6879ms
Step 2 took 5070ms
********** Factor found in step 2: 91428095645728819504244809288662307
Found probable prime factor of 35 digits: 91428095645728819504244809288662307
Probable prime cofactor 350927873615399411027463051075430196767244845425762905917529044681037194687199089150276124492002378223 has 102 digits

GMP-ECM 6.3

562267670687016743247586881868910816309911496944479128953804743852433155796409587808322616921238024437832602424003881329227177379857876727347238684871648730474126382436105255138177<180>

104184051386533398767848633146619034041982038232429535694854656575778315205890607472899920809861989946638662247508624273288441543735691646836232640442119146636096960375231158454944963707212602658707<198>

3134093439016005418466917978320307<34>
33242165051480886625044022989113942475498150712988573130612474310295132491378198144947839156444869951021496083217643288268240247836248344073227984977816141346711201<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1834958045
Step 1 took 12090ms
Step 2 took 7098ms
********** Factor found in step 2: 3134093439016005418466917978320307
Found probable prime factor of 34 digits: 3134093439016005418466917978320307
Probable prime cofactor 33242165051480886625044022989113942475498150712988573130612474310295132491378198144947839156444869951021496083217643288268240247836248344073227984977816141346711201 has 164 digits

GMP-ECM 6.3

5751438770271733006564188372765886732893310953695842460669914312746985906323204829264734970060568898445564025906785568090841206013838778472949161560222425985938818721301815081414097504897210936609981561<202>

88790828999177108569820533691295270077299357703<47>
64775144405116838336803865444753762183627680119474913998258457609742022736971314104044329210964484451434070143896344667671095752510130589621206477608533887<155>

Number: 18881_219
N = 5751438770271733006564188372765886732893310953695842460669914312746985906323204829264734970060568898445564025906785568090841206013838778472949161560222425985938818721301815081414097504897210936609981561 (202 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=88790828999177108569820533691295270077299357703 (pp47)
r2=64775144405116838336803865444753762183627680119474913998258457609742022736971314104044329210964484451434070143896344667671095752510130589621206477608533887 (pp155)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 94.18 hours.
Factorization parameters were as follows:
n: 5751438770271733006564188372765886732893310953695842460669914312746985906323204829264734970060568898445564025906785568090841206013838778472949161560222425985938818721301815081414097504897210936609981561
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 17
c0: -710
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
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8324418 relations
Pruned matrix : 7220518 x 7220743
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 48.79 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 44.07 hours.
time per square root: 0.88 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 94.18 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

31324238252643052134771810731269127712355367717108899591888787824172917994770589033482041898544781175664693397963220382864330969820410677208040032531789877227765439917326348628716278112012717<191>

7964950264314773414690732321379079879<37>
3932760056642724545528067652031720034504153892940596151365400796802592067886028181921371935903357933922944257728785673125296066988303188152638937304684523<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2724805033
Step 1 took 22759ms
********** Factor found in step 1: 7964950264314773414690732321379079879
Found probable prime factor of 37 digits: 7964950264314773414690732321379079879

1065444538942826387793893048721771776735460702430571591683793847708139979196899333574039315778453465425128961976988949300354677278676443177466856617367246259773943871711011213757<178>

21330419946676300861067043728682467532881<41>
49949534121049670723530605316018480364979129341357073757197607997810111296640245439507564251889552539104499207637240709778274744083860397<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2111504372
Step 1 took 115625ms
Step 2 took 37090ms
********** Factor found in step 2: 21330419946676300861067043728682467532881
Found probable prime factor of 41 digits: 21330419946676300861067043728682467532881

1265676741193091800087718673983775293674404367328705055724731664354449528371517236994917510110477775313958272148765578894523468590502991791997060092037445208639<160>

1497734538972290626044335840205795535753574708986556003162224028881554131929930713815856152191444588457237215202673945311121623482571551270076850660091868751895134362411188523864919547942633<190>

22357532258543923816191311173343141<35>
66990154443361335195898766523438621059975030230124261803609376860681949274586340742809195567174775964540347199400882202433016062137205918257831844513709813<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=228710800
Step 1 took 22810ms
Step 2 took 9229ms
********** Factor found in step 2: 22357532258543923816191311173343141
Found probable prime factor of 35 digits: 22357532258543923816191311173343141

28894380543134971419788307575486422414492993131443365838215041632568566902189134371411367954265217228511549801978004270002387012783107348561301924543030969430584714814604530704394855365190459871<194>

8542011419250989494378859253575308217<37>
3382620219637752427732468974683757026765081491469275381985479492090311245079689140391453734944736413149788604819011085170620546512046218307032261577310936663<157>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2673055462
Step 1 took 27382ms
Step 2 took 10028ms
********** Factor found in step 2: 8542011419250989494378859253575308217
Found probable prime factor of 37 digits: 8542011419250989494378859253575308217

229430432042296823512378557855919154216605667631420717794113410271484164703749345926877141757401888059533325032315011417579484853040914435695653471541019216128224949087597384372054211849860673229753358707391<207>

878144532258897670334211477865592231003667544811198925564337000878144532258897670334211477865592231003667544811198925564337000878144532258897670334211477865592231003667544811198925564337000878144532258897670334211477865592231<225>

484781232853912346647604354586332838922756378203572880473099666519468384026748429163643435189595067707523270534353838687047062570051559142453270792787848440471912219623549161723829151299801<189>

43351154518203892721987676112297093922606060706214316787825973973534863997059511110434229256715926923689516595074655800353372527868430948231389620680929021127940560781409277854592759671981149070277114270817243<209>

2803746557232016143680076683839<31>
15461866339660204215727524766188659754209191971525992851983546524916849644380414647506365295946967664702133276254249537400865441568207120508846320964012717683657252190294186196837<179>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3863073023
Step 1 took 12075ms
Step 2 took 7238ms
********** Factor found in step 2: 2803746557232016143680076683839
Found probable prime factor of 31 digits: 2803746557232016143680076683839
Probable prime cofactor 15461866339660204215727524766188659754209191971525992851983546524916849644380414647506365295946967664702133276254249537400865441568207120508846320964012717683657252190294186196837 has 179 digits

GMP-ECM 6.3

19250512603975251409604893631315920393781948436474384336554440190283247927516103925787667746074735666712486733454229378141070909036330707147839368602771685716920104984235233707308258512665303262957<197>

15997041815909067739945309571983438876753063952220250895798649393034981918609125823089304557543823672525045012715656911019008224396785809288146349759859814739832520179813400316129472589905867693922302920151328155427<215>

6947816715640581699352582878758563267<37>

2302455932652529191815664686067312598431426468552114525643413600563275940751190475322709815671247278716417624842032417554368759139325891025463768962059751120253504736898112072481<178>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=474854685
Step 1 took 133295ms
Step 2 took 35439ms
********** Factor found in step 2: 6947816715640581699352582878758563267
Found probable prime factor of 37 digits: 6947816715640581699352582878758563267

44821136886492933503160947000466680981259246316509814287808780624529950233176871599246063870991100606084823029275296595891521553905159971791192000703753838130623<161>

11339206634015745022485543398703275823182047<44>
3952757748680311882526019552503773499992541250463830525869945210225276474218409431528832833903542610620227321173112609<118>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 44821136886492933503160947000466680981259246316509814287808780624529950233176871599246063870991100606084823029275296595891521553905159971791192000703753838130623 (161 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:4230563931
Step 1 took 195407ms
Step 2 took 90808ms
********** Factor found in step 2: 11339206634015745022485543398703275823182047
Found probable prime factor of 44 digits: 11339206634015745022485543398703275823182047
Probable prime cofactor 3952757748680311882526019552503773499992541250463830525869945210225276474218409431528832833903542610620227321173112609 has 118 digits

GMP-ECM

2691996141829574308749577560626260912741693752595039355458497836877859977410984489874359810391418490558503087563522024985024123004302566081018140953692464571248593230101238832716309900873254118378871<199>

2787452312170166933026163129094515634793004879921530948343970805438279740157436803530416677810489641437454683328121987003467542805840750805472548421476741744069372504053318830855950873787301040359765421772473580801<214>

8338556218056017712879389039506347044325693294878086924596007127605436193537256489871205700812282298781761527382911522309427105997828975307439306654141233739943848520001216653390760017162512864759<196>

108244315055338368649630663778580037705886959272092222179995823892395795262900191911823726662105917105163020071923649143568767930739825647651484593832355225273511874306096669862497305105186457651913265121<204>

529850022526556674596715210878013831369184815098607516299566120828544349797031690474498551239844475758561264816055582258648845939649546795123657378369144319084330800142654580607178438000761772601423972954909229107305883856303349641<231>

10696889784910715577880593765475096067508700661382403112920773171193653346521969209317368539943759528883804720097001913484813877263886607934449459398067134938747721405168611298306682347048633724021502006925292292513372685303165587224641607<239>

145899594149721147434800187164781<33>
153880928156889637474610157932840303893<39>

476451435876995559421578228474356964345592152848814106135784165435953128569582200057212916718550842038739406634129864435809550382298123371296468164230955389775161021879<168>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1347009383
Step 1 took 12496ms
Step 2 took 6801ms
********** Factor found in step 2: 145899594149721147434800187164781
Found probable prime factor of 33 digits: 145899594149721147434800187164781
Composite cofactor 73316789174434863584670902219402809488338373957128257035960552676559452329828297135423401929057328800299695900164784627146773988984084439130043020707631255524516247036145905571134993652860097595614781874947 has 206 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1432403743
Step 1 took 9173ms
Step 2 took 5679ms
********** Factor found in step 2: 153880928156889637474610157932840303893
Found probable prime factor of 39 digits: 153880928156889637474610157932840303893
Composite cofactor 476451435876995559421578228474356964345592152848814106135784165435953128569582200057212916718550842038739406634129864435809550382298123371296468164230955389775161021879 has 168 digits

GMP-ECM 6.3

57773073010585080484517615060937168282732447495406445972848083019769979568382809003613977590096852478802974552014847815700362743531769225935637466218469963082666504630188952272746813619614542814655859567660985432587608702160879452982794873<239>

223893974887781812262782290717388449875468484113299583821134051335126398820184134497060114895131255919559321506674366253045491547854907258877322280175513731521317228796803266965807<180>

198853800215264783244865424068876119566970672800697208841984583305388964409994539524944403001148482345626911220354768287558651268939198986903240384518039606590322671238349221788816972441166602034912088642166721151028792529860761304613047877<240>

113967256812773933391198410335595531<36>
1744832733334478277364908377630630093973811608032564909365694466565388834894824392336558137049889433445318802792293856298309367822329888570566986669373878848786654267467771544410830204629644411214544048367<205>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1278066702
Step 1 took 49384ms
Step 2 took 15838ms
********** Factor found in step 2: 113967256812773933391198410335595531
Found probable prime factor of 36 digits: 113967256812773933391198410335595531

239493963343335728272966766690616063001000239493963343335728272966766690616063001000239493963343335728272966766690616063001000239493963343335728272966766690616063001000239493963343335728272966766690616063001000239493963343335728272966766690616063<246>

61856106246710739966405954591476994739<38>

3871791774091358332369710980152705550633505298710777312405929788165977571165400416225947173156670035291371915099574927550208595579959361013898384309194339176825099731174555023353588220540369390321495585424517<208>

********** Factor found in step 1: 61856106246710739966405954591476994739
Found probable prime factor of 38 digits: 61856106246710739966405954591476994739
Composite cofactor 3871791774091358332369710980152705550633505298710777312405929788165977571165400416225947173156670035291371915099574927550208595579959361013898384309194339176825099731174555023353588220540369390321495585424517 has 208 digits

GMP-ECM

Core i7-2670QM @ 2.2 GHz

2882600723030232624831158476467355619263195116558740840728154880975146457120982090842532643495669685420775088329141395427527986112849861282240722899660260542711251560032644361890455773544626575985022803486179869951158633<220>

16453829358054050831654487672732443372484446464168300115082103325932137798461850638193278944628680282014166063003848931033049524071206101311575910668078868256808414798168160911431059033181025948453613707<203>

44925094921476032677024623500341141<35>

366250297006906211013127903843937315442230040180054920923321288507875526259924533779010261833257455968188920591840050741756862334669448352665889883359400229631454336927<168>

Input number is (10^251*17-71)/103319413554502447257683854509366873245381710755147 (203 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1902520640
Step 1 took 7941ms
Step 2 took 4274ms
********** Factor found in step 2: 44925094921476032677024623500341141
Found probable prime factor of 35 digits: 44925094921476032677024623500341141
Composite cofactor

GMP-ECM 6.4.4

366250297006906211013127903843937315442230040180054920923321288507875526259924533779010261833257455968188920591840050741756862334669448352665889883359400229631454336927<168>

77910067110295081633279469901630753029<38>
4700936741440820598486069991015480075906073068764023868649869007710962449937769590898941661872116368134638048812650784793632730963<130>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=695244921
Step 1 took 50853ms
Step 2 took 18735ms
********** Factor found in step 2: 77910067110295081633279469901630753029
Found probable prime factor of 38 digits: 77910067110295081633279469901630753029

170337734049348617430601043859315072785014334836615868024682609664754376929054005171223915103232425657334483067883088031084543965992580458881327311674066498703422137138991392301596235361737420187295693347<204>

29020354940779567634661175092997704119394527<44>
5869595130622922389322181777551927857430291109613261509939820072942936858921513282146578633855129009508307826782250762583629527204249231800505208743402908793661<160>

29020354940779567634661175092997704119394527

factordb.com

157928754508011968550623003424203342851778718096269878734483265866420351838894662747460645109922421494049094516056825781043400581825840655859862191365876401170965636471982288298306347248507248826802051182373871757875482347580190979<231>

1118212005379907558531944596195938911429924588266128694538664802996487813277714646611593218137769706594165065872744096203596930268493724687492706185584549678965941644260910529806316768167787367597320620431104226717687703164914560353262191<238>

8082714359716812669599376312796239684842660943259231906427576949199300226248867964828298140271632494077098595612658818147743987276743938322362803203320129101652876561711618101135048827188764218488244253<202>

827188549316105001049026493289671320173828049300927525013896918272158696907195514089119185480347171522268379243251521044492436245936757749900546530989691663804695910090680179781415174413677815058676969632699<207>

180508086554691135690380373736325639<36>
4582556743603172417296428250987849609482469378851501458318716460339272882731344420304363352774228275102323715028223815115492910721886864155191446815244625999966680373658541<172>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=935579903
Step 1 took 74607ms
Step 2 took 24517ms
********** Factor found in step 2: 180508086554691135690380373736325639
Found probable prime factor of 36 digits: 180508086554691135690380373736325639

571261938456186800047930291844937251457789154905756832946702869726632956060228670437986955733523719882271810640912821468783543911358869448748504946494427535215604845705133714376028940124487697032627711172265892418713490670944672517717289927803<243>

5864971256655616819320311034053668758077466976045970445105744103514010293362653773638253464965506223798823095537832233414898868592879856584754856604161011497506802443787243365288353226574089544373256458326086212600384977403283493118092752195135404470653<253>

6958774553111806654984575265386828429370164959<46>

842816678697103970643605114721590060830757944842749736586990897604977711365030521946295995452934051499598661333525317684699584415645784769430107693242438179229106045124053866935864019802456852725026541477667<207>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4146348532
Step 1 took 121588ms
Step 2 took 34725ms
********** Factor found in step 2: 6958774553111806654984575265386828429370164959
Found probable prime factor of 46 digits: 6958774553111806654984575265386828429370164959

4438308342578325280774753099077788914830975607874158868286239411326341703722920677835088579485503693143179614778890814288241153293751931965274512558907281272264875660572854207387470563197261684463919377369313112136842922628271575763<232>

436493933025071821482046675334461617876791078505352650574556972549291929928344266269092230773033431490404674592671632025149876111580672197088253821475114257947182960278941936876149763697389082652654176464741447950846681<219>

10264027000428674068841432858169259842900010264027000428674068841432858169259842900010264027000428674068841432858169259842900010264027000428674068841432858169259842900010264027000428674068841432858169259842900010264027000428674068841432858169259842900010264027<260>

12010632912882437038766646393990499903987535977393634178226868150312236052669403060990132155122242266038391571604722816832433400922268675812475237230163182647506047221157834044118967178080317827617431475405245554403209250779381104091429430783<242>

242687029716619063174482701539927657453554716707687571888260072242904125230310744601404022253081614926443117197289539541088865802931858403297714542890779022791360064456982564016849516958818091215083566991015899<210>

298127016420341260522612227514816375727809478903734147496001885872433217971928755563506891171630536044751075957015983128371992771979879859614921782592319865132277215947421289151941723487183036508599058673973661478516735911349548985319<234>

57239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057<266>

18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<269>

2542295345783834161168128529121519<34>
7429856220369672969996971130312089368876902250726632970970318221711341678333828040341314108802288894568777102355447651265579266382484723858887448320333894401395759197143494931998636408564409970126498129380569910147540239504603062821599<235>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3618822459
Step 1 took 31386ms
Step 2 took 9786ms
********** Factor found in step 2: 2542295345783834161168128529121519
Found probable prime factor of 34 digits: 2542295345783834161168128529121519

8773099289581948053283387979554883969215913865923952824262139414182946362069782931738178765834103829451510435969761740393013135306945593887089304870498719392866205183181574757383562928251274742538390561492758566060635498041833715379<232>

613632071991719255599461201480387441264067691217899332579246390447240431648352666039183509173081412983815255760570756627735946625089135721048076294214982284654368402662467387100328859611609234735223158255951<207>

1370799819499964415242915101875729066049867<43>

447645282164946466093466859972179856958067296805667890482820410049406854258673724884861188626843519248712622030992139609211247234673944171697456017965199859498439053<165>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3591935215
Step 1 took 71319ms
********** Factor found in step 1: 1370799819499964415242915101875729066049867
Found probable prime factor of 43 digits: 1370799819499964415242915101875729066049867

71061909830697952583795925883614916162955325114341545351718664888404214861157315589656495232908441943669219747455515269867390803884255539763926518494762394844917530131165356585607030340164525781181043168492190603583<215>

1005966305970035332946117348156931745970274770141949921366839411874097863297040952459338047775779688063320004045825189131903157682359139267105261390713616515547659121316314799853113606459297869594006168309<205>

190308411210856591399926928115673675836575775955901489641183340694704594009074944322020039952662927232802224715242524303801252976726149540457899537126473328262610657524792167364848333929482986162670276625964293533094441<219>

41458005940284335315213588329580482695088074736257538077508591543294401406138086793525178561131830392701092348754400066463389209063028890912546823173699574698289787186314166299382111535408906820199778529822077572005335198186481547112591130050817<245>

670127059611980910681971519658676272607<39>

61865888484326361965971958478944699531387145495070526286447398304169185178590982358671309100621447996511305885098262369945255882720471063383469613372199929006438218285125843311471583158419395992801440800031<206>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1387361510
Step 1 took 27200ms
Step 2 took 8340ms
********** Factor found in step 2: 670127059611980910681971519658676272607
Found probable prime factor of 39 digits: 670127059611980910681971519658676272607
Composite cofactor

2869578142670587977562702342012544471355148355487952319771052783406086548147412763993864854161097909378606930797441513884858850807860166988616661028070213099673533606352705584902365158204779412070704852504048088001203263375345090450825116320477826373<250>

7800573855121155000660196126082459994313553958824507240492869061126997583621008412145800757593844340866525423373495046137875978394938654736258298642513058666503964552974087058898278054735921966460242023<202>

6546930790797690436280968078911036411649259472365796211605839452743779304486862688000959315613120187926082136516426729852810377531558500925069742107496557001688318641554356744555984574071333297199230239397988188894930180997545834821908067778341676684306655975848129303<268>

4572043855989189278944088012478316156146033025849051044864683095615103432788320105773345831249072728221291094874451135515714839542276223901654375162753931674965077753210130213191615797722198270672563133253287345529641749182420491<229>