32482522374746180058621483531208610399036688675149812231189223879705895716746882551984274642698225023160685803137554338341977051<128>

744672514925099317753393598897750509322858911004792161<54>
43619875480449736340301463870436173570992711432762799275899219166322466491<74>

Number: trial
N=32482522374746180058621483531208610399036688675149812231189223879705895716746882551984274642698225023160685803137554338341977051
  ( 128 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=744672514925099317753393598897750509322858911004792161 (pp54)
 r2=43619875480449736340301463870436173570992711432762799275899219166322466491 (pp74)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 47.42 hours.
Scaled time: 24.85 units (timescale=0.524).
Factorization parameters were as follows:
n: 32482522374746180058621483531208610399036688675149812231189223879705895716746882551984274642698225023160685803137554338341977051
m: 1000000000000000000000000000000
c5: 500
c0: -1
skew: 1
type: snfsFactor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:175758, largePrimes:5321331 encountered
Relations: rels:5123801, finalFF:397027
Max relations in full relation-set: 0
Initial matrix: 352126 x 397027 with sparse part having weight 34163740.
Pruned matrix : 330330 x 332154 with weight 25010739.
Total sieving time: 37.60 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 9.06 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 47.42 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin

476550677029524343665946953895574025260049383895835025193583187834239548403156077893198662913632520004443527829226385778591426880376782309793<141>

154950203473026832889059234829083441818646269399640511<54>
3075508559189988737150043030934655780723081191090507472552844326729132490697996382741663<88>

Number: n
N=476550677029524343665946953895574025260049383895835025193583187834239548403156077893198662913632520004443527829226385778591426880376782309793
  ( 141 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=154950203473026832889059234829083441818646269399640511 (pp54)
 r2=3075508559189988737150043030934655780723081191090507472552844326729132490697996382741663 (pp88)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 36.22 hours.
Scaled time: 43.28 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_4_9_157
n: 476550677029524343665946953895574025260049383895835025193583187834239548403156077893198662913632520004443527829226385778591426880376782309793
type: snfs
skew: 1.44
deg: 5
c5: 4
c0: -25
m: 50000000000000000000000000000000
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
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, 1500001)
Primes: RFBsize:216816, AFBsize:216391, largePrimes:6478765 encountered
Relations: rels:5936078, finalFF:494034
Max relations in full relation-set: 28
Initial matrix: 433271 x 494034 with sparse part having weight 27845713.
Pruned matrix : 377954 x 380184 with weight 17470532.
Total sieving time: 33.06 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.86 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.3,2.3,100000
total time: 36.22 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

1350309076581584038910089762282315799270660996144707824782483833075965830415212667287719844360646971845236733069095577551786307619<130>

3914379888823857856496565940348441055481401908952110819<55>
344961172633478712235231612125560933379158026766703661954210221883077707201<75>

Number: 49999_158
N=1350309076581584038910089762282315799270660996144707824782483833075965830415212667287719844360646971845236733069095577551786307619
  ( 130 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=3914379888823857856496565940348441055481401908952110819 (pp55)
 r2=344961172633478712235231612125560933379158026766703661954210221883077707201 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.89 hours.
Scaled time: 53.09 units (timescale=2.133).
Factorization parameters were as follows:
n: 1350309076581584038910089762282315799270660996144707824782483833075965830415212667287719844360646971845236733069095577551786307619
m: 100000000000000000000000000000000
c5: 1
c0: -20
skew: 1.82
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3400001)
Primes: RFBsize:283146, AFBsize:282402, largePrimes:5586780 encountered
Relations: rels:5610115, finalFF:652381
Max relations in full relation-set: 28
Initial matrix: 565612 x 652381 with sparse part having weight 39533074.
Pruned matrix : 493839 x 496731 with weight 26115813.
Total sieving time: 23.41 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.35 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 24.89 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405129)
Total of 4 processors activated (19246.12 BogoMIPS).

Core 2 Quad Q6600

2505843522411995360881620202892235691372910031817756477061988171397055319833605473171594643548876245306856441524893681<118>

6893933938446466919399636517410130127156761488611<49>
363485282102468445025331961873781689545727542437808306501301663929371<69>

Number: 49999_160
N=2505843522411995360881620202892235691372910031817756477061988171397055319833605473171594643548876245306856441524893681
  ( 118 digits)
Divisors found:
 r1=6893933938446466919399636517410130127156761488611 (pp49)
 r2=363485282102468445025331961873781689545727542437808306501301663929371 (pp69)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 101.60 hours.
Scaled time: 68.58 units (timescale=0.675).
Factorization parameters were as follows:
name: 49999_160
n: 2505843522411995360881620202892235691372910031817756477061988171397055319833605473171594643548876245306856441524893681
skew: 67698.81
# norm 1.66e+16
c5: 43680
c4: 2257503728
c3: -777745474760110
c2: -6995506859892789237
c1: 1061094916189007052816270
c0: 6870339507820636323602079525
# alpha -6.12
Y1: 1479919241581
Y0: -35623294165211846579056
# Murphy_E 3.92e-10
# M 2441904005236875944325738509808338119467647459205288901605343286851365346903917443586164924402372617797036892016430170
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4170001)
Primes: RFBsize:315948, AFBsize:315757, largePrimes:7681791 encountered
Relations: rels:7773988, finalFF:761206
Max relations in full relation-set: 28
Initial matrix: 631791 x 761206 with sparse part having weight 66536489.
Pruned matrix : 524261 x 527483 with weight 42459606.
Total sieving time: 84.05 hours.
Total relation processing time: 0.97 hours.
Matrix solve time: 16.09 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 101.60 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin

6467351798058730387628097619584464793561004208531537922182496075642274563849187638841619505437822847268801141316782851382812647988076505067497<142>

205172085665013628136788854347422145538579372307983152097920947502671<69>
31521596990625887572504276079879084677165618298704568194646451128941172807<74>

Number: n
N=6467351798058730387628097619584464793561004208531537922182496075642274563849187638841619505437822847268801141316782851382812647988076505067497
  ( 142 digits)
SNFS difficulty: 161 digits.
Divisors found:

Tue Oct 02 05:21:23 2007  prp69 factor: 205172085665013628136788854347422145538579372307983152097920947502671
Tue Oct 02 05:21:23 2007  prp74 factor: 31521596990625887572504276079879084677165618298704568194646451128941172807
Tue Oct 02 05:21:23 2007  elapsed time 01:18:32 (Msieve 1.26)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 29.84 hours.
Scaled time: 43.39 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_4_9_161
n: 6467351798058730387628097619584464793561004208531537922182496075642274563849187638841619505437822847268801141316782851382812647988076505067497
skew: 0.46
deg: 5
c5: 50
c0: -1
m: 100000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1600000)
Primes: RFBsize:203362, AFBsize:203587, largePrimes:7032000 encountered
Relations: rels:6494307, finalFF:456833
Max relations in full relation-set: 28
Initial matrix: 407014 x 456833 with sparse part having weight 35481673.
Pruned matrix : 369264 x 371363 with weight 25332214.
Total sieving time: 29.63 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 29.84 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

1386717638426251931934033806378717686203165786751271889807208433424201191175011460788311942354451703713581361177260630054458086922449<133>

7739832354657573536230860093069953953660396661<46>
179166366257503162309509372277349334970926729613420475526494728627218732934704149702509<87>

Number: n
N=1386717638426251931934033806378717686203165786751271889807208433424201191175011460788311942354451703713581361177260630054458086922449
  ( 133 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon Jan 14 10:32:34 2008  prp46 factor: 7739832354657573536230860093069953953660396661
Mon Jan 14 10:32:34 2008  prp87 factor: 179166366257503162309509372277349334970926729613420475526494728627218732934704149702509
Mon Jan 14 10:32:34 2008  elapsed time 00:57:29 (Msieve 1.32)

Version: GGNFS-0.77.1-20050930-k8
Total time: 39.69 hours.
Scaled time: 33.26 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_4_9_162
n: 1386717638426251931934033806378717686203165786751271889807208433424201191175011460788311942354451703713581361177260630054458086922449
type: snfs
deg: 5
c5: 500
c0: -1
skew: 0.29
m: 100000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3700000)
Primes: RFBsize:216816, AFBsize:216391, largePrimes:5827763 encountered
Relations: rels:5828091, finalFF:514396
Max relations in full relation-set: 28
Initial matrix: 433273 x 514396 with sparse part having weight 53218789.
Pruned matrix : 400490 x 402720 with weight 39410526.
Total sieving time: 39.57 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 39.69 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

11670235611561044253628931909394969161619544523964876135974702959832102611543850287772225137109509941642444928668610984199652981246175861323416965983211097<155>

4418255297469253568147847349351285035723609901981851222353873612047<67>
2641367423527036890767831864312306241956122491114136519637229891724953923688971860336151<88>

Number: n
N=11670235611561044253628931909394969161619544523964876135974702959832102611543850287772225137109509941642444928668610984199652981246175861323416965983211097
  ( 155 digits)
SNFS difficulty: 165 digits.
Divisors found:

Mon Oct 15 22:21:57 2007  prp67 factor: 4418255297469253568147847349351285035723609901981851222353873612047
Mon Oct 15 22:21:57 2007  prp88 factor: 2641367423527036890767831864312306241956122491114136519637229891724953923688971860336151
Mon Oct 15 22:21:57 2007  elapsed time 01:18:34 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 44.16 hours.
Scaled time: 64.21 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_4_9_165
n: 11670235611561044253628931909394969161619544523964876135974702959832102611543850287772225137109509941642444928668610984199652981246175861323416965983211097
skew: 0.72
deg: 5
c5: 5
c0: -1
m: 1000000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2400000)
Primes: RFBsize:203362, AFBsize:203387, largePrimes:7325021 encountered
Relations: rels:6796373, finalFF:457305
Max relations in full relation-set: 28
Initial matrix: 406814 x 457305 with sparse part having weight 40727776.
Pruned matrix : 379736 x 381834 with weight 30695175.
Total sieving time: 43.93 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 44.16 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

78612471559442958193948932412621943215928354030608716743603360935146350691540877706643356686115717423275593902051381288373526750237641857883878895151<149>

22639721157902129095414403005942496800349<41>
457434303099638694586122437203847366912844131<45>
7590871641081854629092704253048698545019692817001067700599918729<64>

Number: n
N=78612471559442958193948932412621943215928354030608716743603360935146350691540877706643356686115717423275593902051381288373526750237641857883878895151
  ( 149 digits)
SNFS difficulty: 169 digits.
Divisors found:

Fri Jul 18 13:57:52 2008  prp41 factor: 22639721157902129095414403005942496800349
Fri Jul 18 13:57:52 2008  prp45 factor: 457434303099638694586122437203847366912844131
Fri Jul 18 13:57:52 2008  prp64 factor: 7590871641081854629092704253048698545019692817001067700599918729
Fri Jul 18 13:57:52 2008  elapsed time 03:10:45 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 55.74 hours.
Scaled time: 36.51 units (timescale=0.655).
Factorization parameters were as follows:
name: KA_4_9_168
n: 78612471559442958193948932412621943215928354030608716743603360935146350691540877706643356686115717423275593902051381288373526750237641857883878895151
skew: 0.91
deg: 5
c5: 8
c0: -5
m: 5000000000000000000000000000000000
type: snfs
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2402509)
Primes: RFBsize:399993, AFBsize:399814, largePrimes:9619479 encountered
Relations: rels:9166302, finalFF:834416
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 55.38 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,50,50,2.5,2.5,100000
total time: 55.74 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

60024009603841536614645858343337334933973589435774309723889555822328931572629051620648259303721488595438175270108043217286914765906362545018007202881152460984393757503<167>

51971109847877751141565924226072367623<38>
6247449254103117689987713647000874500741834590985633042232135777<64>
184867374942010724757709190165050993402607186564005758034404013993<66>

Number: n
N=60024009603841536614645858343337334933973589435774309723889555822328931572629051620648259303721488595438175270108043217286914765906362545018007202881152460984393757503
  ( 167 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=51971109847877751141565924226072367623 (pp38)
 r2=6247449254103117689987713647000874500741834590985633042232135777 (pp64)
 r3=184867374942010724757709190165050993402607186564005758034404013993 (pp66)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 80.00 hours.
Scaled time: 58.00 units (timescale=0.725).
Factorization parameters were as follows:
name: KA_4_9_169
n: 60024009603841536614645858343337334933973589435774309723889555822328931572629051620648259303721488595438175270108043217286914765906362545018007202881152460984393757503
skew: 1.15
deg: 5
c5: 1
c0: -2
m: 10000000000000000000000000000000000
type: snfs
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3100001)
Primes: RFBsize:348513, AFBsize:348176, largePrimes:7957180 encountered
Relations: rels:7622391, finalFF:810632
Max relations in full relation-set: 48
Initial matrix: 696753 x 810632 with sparse part having weight 43718412.
Pruned matrix : 593010 x 596557 with weight 26495728.
Total sieving time: 70.42 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 8.76 hours.
Total square root time: 0.54 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,48,48,2.5,2.5,100000
total time: 80.00 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

576941897363832680247990659532154636533269260043447804982278645257355362380723176817840997220371791999561855565743580805836706271803510382912248634396047711<156>

414098898368494463344506663169333769<36>
1393246636581073462780644946707410311348854022175587735092066569086144683145170283932792460440716222911271989247205306919<121>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 576941897363832680247990659532154636533269260043447804982278645257355362380723176817840997220371791999561855565743580805836706271803510382912248634396047711 (156 digits)
Using B1=1114000, B2=1426247560, polynomial Dickson(6), sigma=3235219842
Step 1 took 14359ms
Step 2 took 6828ms
********** Factor found in step 2: 414098898368494463344506663169333769
Found probable prime factor of 36 digits: 414098898368494463344506663169333769
Probable prime cofactor 1393246636581073462780644946707410311348854022175587735092066569086144683145170283932792460440716222911271989247205306919 has 121 digits

1593066609570530649370271023806535039809721860723856941429268203635476830520142259302322810459745823053514922077193405530808546778438857687622783273098732367009649<163>

23331915524945545696221472599200406173115587461<47>
68278432084467642690581024494631409446426792252293530420303471343294308319297030303253720850691295975733917647872509<116>

Number: 49999_172
N=1593066609570530649370271023806535039809721860723856941429268203635476830520142259302322810459745823053514922077193405530808546778438857687622783273098732367009649
  ( 163 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=23331915524945545696221472599200406173115587461 (pp47)
 r2=68278432084467642690581024494631409446426792252293530420303471343294308319297030303253720850691295975733917647872509 (pp116)
Version: Msieve-1.40
Total time: 56.01 hours.
Scaled time: 97.40 units (timescale=1.739).
Factorization parameters were as follows:
n: 1593066609570530649370271023806535039809721860723856941429268203635476830520142259302322810459745823053514922077193405530808546778438857687622783273098732367009649
m: 50000000000000000000000000000000000
deg: 5
c5: 4
c0: -25
skew: 1.44
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1013275 x 1013505
Total sieving time: 54.26 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.33 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 56.01 hours.

GGNFS, Msieve

39854086435296658660320043879991005179189198819489180447210923684885908343283437049105322157599299450760049515223879981997674408379558391<137>

2847970263141744131023830845478132413777645258337832393628729170631<67>
13993856238980368759578357212092380131077296745377065063456859221722961<71>

Number: 49999_173
N=39854086435296658660320043879991005179189198819489180447210923684885908343283437049105322157599299450760049515223879981997674408379558391
  ( 137 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=2847970263141744131023830845478132413777645258337832393628729170631
 r2=13993856238980368759578357212092380131077296745377065063456859221722961
Version: 
Total time: 37.09 hours.
Scaled time: 88.50 units (timescale=2.386).
Factorization parameters were as follows:
n: 39854086435296658660320043879991005179189198819489180447210923684885908343283437049105322157599299450760049515223879981997674408379558391
m: 100000000000000000000000000000000000
deg: 5
c5: 1
c0: -20
skew: 1.82
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3200000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 15479928
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1090838 x 1091085
Total sieving time: 32.09 hours.
Total relation processing time: 2.00 hours.
Matrix solve time: 2.87 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,52,52,2.4,2.4,100000
total time: 37.09 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673798)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

635391023758808768021982182663640242957235141906592712342373275630037497448167738145615536255657952171914822743853474214435578032037202498341<141>

28345499727878470190919484864294064341<38>
463029342608148463454164159741210468863485451451681<51>
48411489356292646627148450479697213943551789779252721<53>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 635391023758808768021982182663640242957235141906592712342373275630037497448167738145615536255657952171914822743853474214435578032037202498341 (141 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=8051102569
Step 1 took 12060ms
Step 2 took 5548ms
********** Factor found in step 2: 28345499727878470190919484864294064341
Found probable prime factor of 38 digits: 28345499727878470190919484864294064341
Composite cofactor 22415940091325560592764062171757453501035854403561664187105229615762632752555588053316070194944819274001 has 104 digits

Number: 49999_174
N=22415940091325560592764062171757453501035854403561664187105229615762632752555588053316070194944819274001
  ( 104 digits)
Divisors found:
 r1=463029342608148463454164159741210468863485451451681
 r2=48411489356292646627148450479697213943551789779252721
Version: 
Total time: 4.42 hours.
Scaled time: 10.55 units (timescale=2.386).
Factorization parameters were as follows:
name: 49999_174
n: 22415940091325560592764062171757453501035854403561664187105229615762632752555588053316070194944819274001
skew: 7223.23
# norm 5.68e+14
c5: 103320
c4: -1087558846
c3: -54783974263837
c2: 45158299175990806
c1: 473317516833711936848
c0: -566285402745446146869216
# alpha -5.98
Y1: 70717608599
Y0: -46481047104932086595
# Murphy_E 2.12e-09
# M 11389210777915482262951976616597298590964859459226496768929040960719519334499979514459734483204362702854
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 5061933
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 241571 x 241818
Polynomial selection time: 0.29 hours.
Total sieving time: 3.46 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 4.42 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673798)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)

GMP-ECM v6.2.3 / GGNFS / Msieve v1.39

Core 2 Quad Q6700

212741561156104821848315308047573885814443504412799746904803957756367500051206620397368345024193419561880193183093279952257728632311539958871940330087867729139350029<165>

1685407140856189648612097538079896782968048556689<49>
126225619910469676004414039354831078351797442441561563713439568704176968850333129983096588258532811794520832130928061<117>

N=212741561156104821848315308047573885814443504412799746904803957756367500051206620397368345024193419561880193183093279952257728632311539958871940330087867729139350029
  ( 165 digits)

SNFS difficulty: 176 digits.

Divisors found:

 r1=1685407140856189648612097538079896782968048556689 (pp49)

 r2=126225619910469676004414039354831078351797442441561563713439568704176968850333129983096588258532811794520832130928061 (pp117)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 224.48 hours.

Scaled time: 191.48 units (timescale=0.853).

Factorization parameters were as follows:

n: 212741561156104821848315308047573885814443504412799746904803957756367500051206620397368345024193419561880193183093279952257728632311539958871940330087867729139350029
m: 100000000000000000000000000000000000
c5: 50
c0: -1
skew: 0.46
type: snfs

Factor base limits: 7400000/7400000
Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3700000, 11500001)

Primes: RFBsize:501962, AFBsize:501581, largePrimes:6465156 encountered

Relations: rels:6924137, finalFF:1134653

Max relations in full relation-set: 28

Initial matrix: 1003608 x 1134653 with sparse part having weight 71856558.

Pruned matrix : 891266 x 896348 with weight 54923948.

Total sieving time: 201.76 hours.

Total relation processing time: 0.44 hours.

Matrix solve time: 21.99 hours.

Time per square root: 0.29 hours.

Prototype def-par.txt line would be:

snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 224.48 hours.

4036742139064271940352924607719840667525658401516025842099488707237906836850173332467826613777240396308955876191838587875549878107435969243156241150303<151>

4068269709359954401976297716690750943446114169<46>
992250373611379227883163588164400121551512275167316952271377534693843762018044616947203837967745867950487<105>

Number: 49999_177
N=4036742139064271940352924607719840667525658401516025842099488707237906836850173332467826613777240396308955876191838587875549878107435969243156241150303
  ( 151 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=4068269709359954401976297716690750943446114169
 r2=992250373611379227883163588164400121551512275167316952271377534693843762018044616947203837967745867950487
Version: 
Total time: 58.68 hours.
Scaled time: 140.12 units (timescale=2.388).
Factorization parameters were as follows:
n: 4036742139064271940352924607719840667525658401516025842099488707237906836850173332467826613777240396308955876191838587875549878107435969243156241150303
m: 500000000000000000000000000000000000
deg: 5
c5: 4
c0: -25
skew: 1.44
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4200000, 7900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18197177
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1358940 x 1359188
Total sieving time: 50.53 hours.
Total relation processing time: 3.44 hours.
Matrix solve time: 4.54 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,53,53,2.5,2.5,100000
total time: 58.68 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

483465413967370598400238048693329074423316487627052497512382988498499804040391586617159120691337958260268162836645299451358426769745806731188812854756737<153>

551421612914557051308292624692847<33>
876761814633993523106354211564896283956156882713530327635666576447814027168039294731780218758528595761801494512642521871<120>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 483465413967370598400238048693329074423316487627052497512382988498499804040391586617159120691337958260268162836645299451358426769745806731188812854756737 (153 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=4222987752
Step 1 took 1170ms
Step 2 took 1061ms
********** Factor found in step 2: 551421612914557051308292624692847
Found probable prime factor of 33 digits: 551421612914557051308292624692847
Probable prime cofactor 876761814633993523106354211564896283956156882713530327635666576447814027168039294731780218758528595761801494512642521871 has 120 digits

Core 2 Quad Q6600

1268043725350051353132819056594165736383974526766996545360477852847986781906687610303669898118623904197788874590155678924925008343938821<136>

1166301555538974517603112159803243199069<40>
455836425176168552226557086859741685930538511<45>
2385142595979479983692619755161942793993731666526119<52>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 1268043725350051353132819056594165736383974526766996545360477852847986781906687610303669898118623904197788874590155678924925008343938821 (136 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2748895193
Step 1 took 4322ms
Step 2 took 2401ms
********** Factor found in step 2: 1166301555538974517603112159803243199069
Found probable prime factor of 40 digits: 1166301555538974517603112159803243199069
Composite cofactor 1087234874486692647113099056807700552174954940627876797305797217283126817336364453873278316868809 has 97 digits

Number: 49999_180
N=1087234874486692647113099056807700552174954940627876797305797217283126817336364453873278316868809
  ( 97 digits)
Divisors found:
 r1=455836425176168552226557086859741685930538511
 r2=2385142595979479983692619755161942793993731666526119
Version: 
Total time: 1.87 hours.
Scaled time: 4.47 units (timescale=2.387).
Factorization parameters were as follows:
name: 49999_180
n: 1087234874486692647113099056807700552174954940627876797305797217283126817336364453873278316868809
skew: 8632.98
# norm 2.89e+13
c5: 10920
c4: 318464128
c3: -1505481553212
c2: -20180759028973709
c1: 58577666676270824122
c0: -57414147493511642220285
# alpha -5.91
Y1: 11822671531
Y0: -2509621434827683634
# Murphy_E 5.11e-09
# M 156070940597455959127173067169783594525935570814263899470527292638724944750891421285089957590333
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [500000, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4117386
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 143255 x 143503
Polynomial selection time: 0.11 hours.
Total sieving time: 1.52 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000
total time: 1.87 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673798)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)

GMP-ECM v6.2.3 / GGNFS / Msieve v1.39

Core 2 Quad Q6700

3598606979757417997917427995706501314058534392261408149235484668120477312161588275805313695459204431109019053455906018698429200104947933380953449978919<151>

173579002511793813594159069431<30>

20731810459118814730446116833653693666321827958599665647784054670803472164424057194952315997453223210542179715535871072849<122>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 3598606979757417997917427995706501314058534392261408149235484668120477312161588275805313695459204431109019053455906018698429200104947933380953449978919 (151 digits)
Using B1=50000, B2=12746592, polynomial x^2, sigma=1211348993
Step 1 took 218ms
Step 2 took 297ms
********** Factor found in step 2: 173579002511793813594159069431
Found probable prime factor of 30 digits: 173579002511793813594159069431
Composite cofactor 20731810459118814730446116833653693666321827958599665647784054670803472164424057194952315997453223210542179715535871072849 has 122 digits

Core 2 Quad Q6600

20731810459118814730446116833653693666321827958599665647784054670803472164424057194952315997453223210542179715535871072849<122>

1064331088086742281466450399965259429540937717843448019984241<61>
19478723013143054838808802263731536889575609008494945550219489<62>

Number: 49999_181
N=20731810459118814730446116833653693666321827958599665647784054670803472164424057194952315997453223210542179715535871072849
  ( 122 digits)
Divisors found:
 r1=1064331088086742281466450399965259429540937717843448019984241 (pp61)
 r2=19478723013143054838808802263731536889575609008494945550219489 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 140.90 hours.
Scaled time: 66.50 units (timescale=0.472).
Factorization parameters were as follows:
name: 49999_181
n: 20731810459118814730446116833653693666321827958599665647784054670803472164424057194952315997453223210542179715535871072849
skew: 101517.10
# norm 3.04e+17
c5: 29580
c4: 2156779898
c3: -6149966082058983
c2: 23385979761564979461
c1: 1440918581264063038291103
c0: -22754533970254442683757639139
# alpha -6.80
Y1: 1261519391909
Y0: -233952547110868141002320
# Murphy_E 2.33e-10
# M 2835204791081285862371599358752498154223875050445617820813767572498702847699896488863776551489942795073240664812599984655
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 5320001)
Primes: RFBsize:348513, AFBsize:348097, largePrimes:7741397 encountered
Relations: rels:7907865, finalFF:796206
Max relations in full relation-set: 28
Initial matrix: 696692 x 796206 with sparse part having weight 72088621.
Pruned matrix : 615148 x 618695 with weight 51491407.
Total sieving time: 118.03 hours.
Total relation processing time: 1.24 hours.
Matrix solve time: 21.10 hours.
Time per square root: 0.53 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 140.90 hours.
 --------- CPU info (if available) ----------

Pentium 4  2.4GHz, Windows XP and Cygwin)

1243640894623190934438746047046099580565995925626298223424494127666596597171977152517694955566312383421074711557064611814787482955822661265426767631968647765171349477128441<172>

7177564523816592869440879538846475176869730760304849<52>
173267811176972637202721174591604786380093280093612986568064406694146885800020811068408853083028936835099405426401335209<120>

Number: 49999_182
N=1243640894623190934438746047046099580565995925626298223424494127666596597171977152517694955566312383421074711557064611814787482955822661265426767631968647765171349477128441
  ( 172 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=7177564523816592869440879538846475176869730760304849
 r2=173267811176972637202721174591604786380093280093612986568064406694146885800020811068408853083028936835099405426401335209
Version: 
Total time: 92.44 hours.
Scaled time: 220.02 units (timescale=2.380).
Factorization parameters were as follows:
n: 1243640894623190934438746047046099580565995925626298223424494127666596597171977152517694955566312383421074711557064611814787482955822661265426767631968647765171349477128441
m: 5000000000000000000000000000000000000
deg: 5
c5: 4
c0: -25
skew: 1.44
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3300000, 5800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18378557
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1290498 x 1290746
Total sieving time: 86.12 hours.
Total relation processing time: 2.40 hours.
Matrix solve time: 3.77 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 92.44 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

18687467063339300864482226350076057990947790954518442661244809556023157509184890061631266374893014251062382502550839254145814568001823896785381915764373465291767423259916504397161<179>

945200151001218657635011445058228730913844677283075507271374283027271720740913<78>
19770909942771694388069711525503787363511760112454424254375327438641837630246346547998813862502042297<101>

Number: 49999_183
N=18687467063339300864482226350076057990947790954518442661244809556023157509184890061631266374893014251062382502550839254145814568001823896785381915764373465291767423259916504397161
  ( 179 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=945200151001218657635011445058228730913844677283075507271374283027271720740913
 r2=19770909942771694388069711525503787363511760112454424254375327438641837630246346547998813862502042297
Version: 
Total time: 197.96 hours.
Scaled time: 379.48 units (timescale=1.917).
Factorization parameters were as follows:
n: 18687467063339300864482226350076057990947790954518442661244809556023157509184890061631266374893014251062382502550839254145814568001823896785381915764373465291767423259916504397161
m: 5000000000000000000000000000000000000
deg: 5
c5: 8
c0: -5
skew: 0.91
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4150000, 6050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1592809 x 1593055
Total sieving time: 197.96 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,28,28,54,54,2.5,2.5,100000
total time: 197.96 hours.
 --------- CPU info (if available) ----------

349662872872685415260187866710169543054711722129687259296757512768829622544293685012492705071389202665843507861957179339289258414384928449524545789244775692467713383<165>

13467097731105253924325838530156698063<38>
25964233709024130179916331896236768142386809082711053887820914535009226635473159313679197722834392092837158149045577065290385641<128>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 349662872872685415260187866710169543054711722129687259296757512768829622544293685012492705071389202665843507861957179339289258414384928449524545789244775692467713383 (165 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=575025177
Step 1 took 5506ms
Step 2 took 5102ms
********** Factor found in step 2: 13467097731105253924325838530156698063
Found probable prime factor of 38 digits: 13467097731105253924325838530156698063
Probable prime cofactor 25964233709024130179916331896236768142386809082711053887820914535009226635473159313679197722834392092837158149045577065290385641 has 128 digits

Core 2 Quad Q6600

330782102119348939530388193055862880155585841714351736296136827358915730015531455951164152703636844000379759686471516708488800253691462627773086879742951<153>

149270640821931973883035346612051055146889903083133923624440501<63>
2215989027031415584734612311830420673337291212196945273240676509436087130063218466088577451<91>

Number: 49999_186
N=330782102119348939530388193055862880155585841714351736296136827358915730015531455951164152703636844000379759686471516708488800253691462627773086879742951
  ( 153 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=149270640821931973883035346612051055146889903083133923624440501
 r2=2215989027031415584734612311830420673337291212196945273240676509436087130063218466088577451
Version: 
Total time: 108.57 hours.
Scaled time: 258.93 units (timescale=2.385).
Factorization parameters were as follows:
n: 330782102119348939530388193055862880155585841714351736296136827358915730015531455951164152703636844000379759686471516708488800253691462627773086879742951
m: 10000000000000000000000000000000000000
deg: 5
c5: 50
c0: -1
skew: 0.46
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 6800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20300507
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1506774 x 1507021
Total sieving time: 99.26 hours.
Total relation processing time: 3.07 hours.
Matrix solve time: 5.72 hours.
Time per square root: 0.51 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 108.57 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

8614458264814342456015977257300592684235797658096258921996737600409387636961741878590975741790562058991753748125625895637125986138565131183531967010047496488728669767<166>

111277774907745473529586539271137126937277242947428985065596817713<66>
77414005374893008635864387538323623490032732987347761112605716671322732461197155133915811344002291959<101>

Number: 49999_187
N=8614458264814342456015977257300592684235797658096258921996737600409387636961741878590975741790562058991753748125625895637125986138565131183531967010047496488728669767
  ( 166 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=111277774907745473529586539271137126937277242947428985065596817713
 r2=77414005374893008635864387538323623490032732987347761112605716671322732461197155133915811344002291959
Version: 
Total time: 129.49 hours.
Scaled time: 309.88 units (timescale=2.393).
Factorization parameters were as follows:
n: 8614458264814342456015977257300592684235797658096258921996737600409387636961741878590975741790562058991753748125625895637125986138565131183531967010047496488728669767
m: 50000000000000000000000000000000000000
deg: 5
c5: 4
c0: -25
skew: 1.44
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20519231
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1635139 x 1635387
Total sieving time: 118.96 hours.
Total relation processing time: 3.70 hours.
Matrix solve time: 6.33 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 129.49 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

100721158932718319776298575351669233160027191722094687112234543178151184210485955752350121811066717644477925628133992741175240284519318820871028134069559<153>

362114869786328767678706254340330776690101808781230007<54>
278146984110733504640917712329377431369886449408844968830703171101286957984960895130897298993079937<99>

Number: 49999_189
N=100721158932718319776298575351669233160027191722094687112234543178151184210485955752350121811066717644477925628133992741175240284519318820871028134069559
  ( 153 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=362114869786328767678706254340330776690101808781230007
 r2=278146984110733504640917712329377431369886449408844968830703171101286957984960895130897298993079937
Version: 
Total time: 133.54 hours.
Scaled time: 318.75 units (timescale=2.387).
Factorization parameters were as follows:
n: 100721158932718319776298575351669233160027191722094687112234543178151184210485955752350121811066717644477925628133992741175240284519318820871028134069559
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: -2
skew: 1.15
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20761832
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1667187 x 1667435
Total sieving time: 122.96 hours.
Total relation processing time: 3.81 hours.
Matrix solve time: 6.59 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 133.54 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<191>

99540974625765465275232034702200919<35>
502305710668196126484659145583463988849571937897513433848127456075026044866256022945692253079700553166877184985681787449184093822883155280824677517509895321<156>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (191 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3894616504
Step 1 took 29905ms
Step 2 took 12708ms
********** Factor found in step 2: 99540974625765465275232034702200919
Found probable prime factor of 35 digits: 99540974625765465275232034702200919
Probable prime cofactor 502305710668196126484659145583463988849571937897513433848127456075026044866256022945692253079700553166877184985681787449184093822883155280824677517509895321 has 156 digits

Core 2 Quad Q6600

12211834316200815636021118783914255162565209493020365130222361754575910252737548793500886622247522505104519581662331443639494381467615771141848827141290725194325351887328687<173>

106144520413782227988033709274285099503713060989987541951119<60>
115049126121589055199022162558728951136501798027571833624874769803489031614030807294626008542866906186262107663073<114>

Number: 49999_191
N=12211834316200815636021118783914255162565209493020365130222361754575910252737548793500886622247522505104519581662331443639494381467615771141848827141290725194325351887328687
  ( 173 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=106144520413782227988033709274285099503713060989987541951119
 r2=115049126121589055199022162558728951136501798027571833624874769803489031614030807294626008542866906186262107663073
Version: 
Total time: 160.37 hours.
Scaled time: 383.13 units (timescale=2.389).
Factorization parameters were as follows:
n: 12211834316200815636021118783914255162565209493020365130222361754575910252737548793500886622247522505104519581662331443639494381467615771141848827141290725194325351887328687
m: 100000000000000000000000000000000000000
deg: 5
c5: 50
c0: -1
skew: 0.46
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 9500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20893650
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1889659 x 1889907
Total sieving time: 145.47 hours.
Total relation processing time: 4.44 hours.
Matrix solve time: 9.60 hours.
Time per square root: 0.86 hours.
Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 160.37 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

808106928708806749309068575953970229340746367559355453913661855736751086903819113345077820697234658089958463303864367333085513875195965930211885636707449129668837780615130994133143697574063<189>

107516249752971035684650211176390698878497<42>

7516137612365669741489365283749544184373803307710159983061153726053943367711447968803833931459424804091388388814143702729443123989730707737970742479<148>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3184635571
Step 1 took 16335ms
Step 2 took 17245ms
********** Factor found in step 2: 107516249752971035684650211176390698878497
Found probable prime factor of 42 digits: 107516249752971035684650211176390698878497
Composite cofactor has 148 digits

GMP-ECM 6.2.1

7516137612365669741489365283749544184373803307710159983061153726053943367711447968803833931459424804091388388814143702729443123989730707737970742479<148>

24173803155985955692016681563323357514896673933228266043927201<62>
310920775016922058394050530166095476535227621922355453952479835190354825775506258573679<87>

Number: 49999_193
N=7516137612365669741489365283749544184373803307710159983061153726053943367711447968803833931459424804091388388814143702729443123989730707737970742479
  ( 148 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=24173803155985955692016681563323357514896673933228266043927201
 r2=310920775016922058394050530166095476535227621922355453952479835190354825775506258573679
Version: 
Total time: 198.25 hours.
Scaled time: 473.81 units (timescale=2.390).
Factorization parameters were as follows:
n: 7516137612365669741489365283749544184373803307710159983061153726053943367711447968803833931459424804091388388814143702729443123989730707737970742479
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -20
skew: 1.82
type: snfs
lss: 1
rlim: 12000000
alim: 12000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6000000, 10800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 22463333
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2134262 x 2134509
Total sieving time: 179.19 hours.
Total relation processing time: 5.84 hours.
Matrix solve time: 12.40 hours.
Time per square root: 0.81 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,55,55,2.5,2.5,100000
total time: 198.25 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<195>

2063673432680440504344308255721789938709506185655504408686729651476059482949<76>
242286396714700023343462981244314581366417767442682354276028410445885393174798778445278457127741012032445076995991310451<120>

Number: 49999_194
N=499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
  ( 195 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=2063673432680440504344308255721789938709506185655504408686729651476059482949 (pp76)
 r2=242286396714700023343462981244314581366417767442682354276028410445885393174798778445278457127741012032445076995991310451 (pp120)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2170.77 hours.
Scaled time: 4335.02 units (timescale=1.997).
Factorization parameters were as follows:
name: 49999_194
n: 499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 1000000000000000000000000000000000000000
c5: 1
c0: -2
skew: 1.15
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 30600001)
Primes: RFBsize:501962, AFBsize:501936, largePrimes:7672066 encountered
Relations: rels:8446002, finalFF:1128792
Max relations in full relation-set: 28
Initial matrix: 1003962 x 1128792 with sparse part having weight 155448349.
Pruned matrix : 921781 x 926864 with weight 139585169.
Total sieving time: 2144.49 hours.
Total relation processing time: 1.59 hours.
Matrix solve time: 24.21 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 2170.77 hours.
 --------- CPU info (if available) ----------

Core 2Duo E6300 1.86GHz, Windows Vista)

76605235906590026703053132319151508150260863809832711017931906831486406630704083319531623330829363522333260660499536614928001036928473231602601452527199072034814321931052529895576338726290871<191>

317598963369528079750990794635037797243393<42>
241201152213646957316475021456496581554806604208884919421444257764720088176608878043853450754138121069950925545626957019712893914235709811564144209847<150>

GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 76605235906590026703053132319151508150260863809832711017931906831486406630704083319531623330829363522333260660499536614928001036928473231602601452527199072034814321931052529895576338726290871 (191 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5407462151
Step 1 took 63534ms
Step 2 took 23393ms
********** Factor found in step 2: 317598963369528079750990794635037797243393
Found probable prime factor of 42 digits: 317598963369528079750990794635037797243393
Probable prime cofactor 241201152213646957316475021456496581554806604208884919421444257764720088176608878043853450754138121069950925545626957019712893914235709811564144209847 has 150 digits

Core 2 Quad Q6700

251597423876843011518973530895077182565833799044399744610930536140919317753115715616833974176319266970113622179606125065313919783575938444925062792463055673711314473521<168>

3669695664592673615978065665298668275956953672441671<52>
68560841789797206872933304052381552430659655586189485404223202781305551694444522299196431882818449926154085718257351<116>

GMP-ECM 6.2.3 [powered by GMP 5.0.0] [ECM]
Input number is 251597423876843011518973530895077182565833799044399744610930536140919317753115715616833974176319266970113622179606125065313919783575938444925062792463055673711314473521 (168 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3155546428
Step 1 took 53549ms
Step 2 took 20854ms
********** Factor found in step 2: 3669695664592673615978065665298668275956953672441671
Found probable prime factor of 52 digits: 3669695664592673615978065665298668275956953672441671
Probable prime cofactor 68560841789797206872933304052381552430659655586189485404223202781305551694444522299196431882818449926154085718257351 has 116 digits

Core 2 Quad Q6700

9557908220897645269387286854345517770093707575325287236420262235191730767688983930835321863692114212272671692252102550740452830644042128960613717269023912901214844723199991756241<178>

4139828065935440294061146400286899184110194422807<49>

2308769366424866095094566070967993074645236095443441497801367460951396604272172809333678904945474562731467084910099433652462194263<130>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 9557908220897645269387286854345517770093707575325287236420262235191730767688983930835321863692114212272671692252102550740452830644042128960613717269023912901214844723199991756241 (178 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=6195808489
Step 1 took 17127ms
Step 2 took 6986ms
********** Factor found in step 2: 4139828065935440294061146400286899184110194422807
Found probable prime factor of 49 digits: 4139828065935440294061146400286899184110194422807
Composite cofactor 2308769366424866095094566070967993074645236095443441497801367460951396604272172809333678904945474562731467084910099433652462194263 has 130 digits

Core 2 Quad Q6700

2308769366424866095094566070967993074645236095443441497801367460951396604272172809333678904945474562731467084910099433652462194263<130>

2394322967500650161225019678510910790744709336941257<52>
964268145009238051063451368642139776954588774704684668839609708242943445219359<78>

Number: 49999_199
N=2308769366424866095094566070967993074645236095443441497801367460951396604272172809333678904945474562731467084910099433652462194263
  ( 130 digits)
Divisors found:
 r1=2394322967500650161225019678510910790744709336941257
 r2=964268145009238051063451368642139776954588774704684668839609708242943445219359
Version: 
Total time: 104.78 hours.
Scaled time: 249.79 units (timescale=2.384).
Factorization parameters were as follows:
name: 49999_199
n: 2308769366424866095094566070967993074645236095443441497801367460951396604272172809333678904945474562731467084910099433652462194263
skew: 152669.11
# norm 4.55e+17
c5: 241740
c4: 516028194
c3: -10951051533976243
c2: 531697723022289609104
c1: 106400814564268671517921676
c0: -2378723275987010445606422699808
# alpha -6.35
Y1: 10236850775569
Y0: -6251819149774585255428641
# Murphy_E 8.79e-11
# M 1581417129965114650115458418529410072116099655029303650663412358187923994201382911950369602181568575305986924433796309438681293988
type: gnfs
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [4200000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18362516
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1268987 x 1269235
Polynomial selection time: 10.46 hours.
Total sieving time: 86.50 hours.
Total relation processing time: 2.24 hours.
Matrix solve time: 4.82 hours.
Time per square root: 0.77 hours.
Prototype def-par.txt line would be:
gnfs,129,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,54,54,2.6,2.6,100000
total time: 104.78 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673795)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.61 BogoMIPS (lpj=2672307)
Calibrating delay using timer specific routine.. 5237.88 BogoMIPS (lpj=2618943)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

97716781388405870122609548343767338522281951520898788694863435248410301155191521274247870026818984524541464417136314503419565351834319065867390675751839129558891516345676089<173>

176867586029104464937617854753<30>

552485526501877367670944061074037598658838575099799387466600086129232312748076812023537737324150557920638878182831650796712172959525387397113113<144>

Factor=176867586029104464937617854753  Method=ECM  B1=11000000  Sigma=4184393397

ECMNET/GMP-ECM 6.2.3

552485526501877367670944061074037598658838575099799387466600086129232312748076812023537737324150557920638878182831650796712172959525387397113113<144>

182196639933150089145482211714113<33>
4171804209352072500638887160821389196590907292233<49>
726869797784362812569971191501943992622966056149515373889530897<63>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2358317610
Step 1 took 208625ms
Step 2 took 73891ms
********** Factor found in step 2: 182196639933150089145482211714113
Found probable prime factor of 33 digits: 182196639933150089145482211714113
Composite cofactor 3032358482047694523207306781438365011387557131275774341968127264158470197367052136793724864084256103612861623001 has 112 digits

gnfs on c112:
Number: 112g
N=3032358482047694523207306781438365011387557131275774341968127264158470197367052136793724864084256103612861623001
  ( 112 digits)
Divisors found:
 r1=4171804209352072500638887160821389196590907292233 (pp49)
 r2=726869797784362812569971191501943992622966056149515373889530897 (pp63)
Version: Msieve-1.40
Total time: 18.53 hours.
Scaled time: 36.26 units (timescale=1.957).
Factorization parameters were as follows:
name: 112g
n: 3032358482047694523207306781438365011387557131275774341968127264158470197367052136793724864084256103612861623001
skew: 14742.81
# norm 1.32e+015
c5: 98280
c4: 2320536816
c3: -64164803706730
c2: -31106763761182397
c1: -1951736274853801360102
c0: -9599894212807595088712047
# alpha -5.62
Y1: 147025245313
Y0: -1985468160220807201006
# Murphy_E 8.50e-010
# M 384400170939190395285072899302888922076673222511249906220678353666710728647567722178423016041106703295557401539
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 484197 x 484422
Polynomial selection time: 1.84 hours.
Total sieving time: 15.70 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 18.53 hours.
 --------- CPU info (if available) ----------

5015290233901292893825248899684541442994973439756132190754881691353163034078998008633124993671513735753561240251853523872158008519024416059124172595091749786543803911646916213086504220051<187>

8661365851031940612715942013919458904705195432371383278224633626971329331164714839249<85>
579041495320712778615169255821394165248896700888060879315604241064691597839075058923520848613019665699<102>

Number: 49999_202
N=5015290233901292893825248899684541442994973439756132190754881691353163034078998008633124993671513735753561240251853523872158008519024416059124172595091749786543803911646916213086504220051
  ( 187 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=8661365851031940612715942013919458904705195432371383278224633626971329331164714839249
 r2=579041495320712778615169255821394165248896700888060879315604241064691597839075058923520848613019665699
Version: 
Total time: 248.99 hours.
Scaled time: 1308.43 units (timescale=5.255).
Factorization parameters were as follows:
n: 5015290233901292893825248899684541442994973439756132190754881691353163034078998008633124993671513735753561240251853523872158008519024416059124172595091749786543803911646916213086504220051
m: 10000000000000000000000000000000000000000
deg: 5
c5: 500
c0: -1
skew: 0.29
# Murphy_E = 1.453e-11
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9000000, 17800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38787242
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3274912 x 3275160
Total sieving time: 218.28 hours.
Total relation processing time: 9.12 hours.
Matrix solve time: 20.06 hours.
Time per square root: 1.53 hours.
Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,18000000,18000000,29,29,56,56,2.6,2.6,100000
total time: 248.99 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367580k/51380224k available (5540k kernel code, 1086464k absent, 926180k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399964)
Total of 12 processors activated (81599.13 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

998623497009634871109694569960470595906946477474603279760410539509193598745205148185345023642587775539473706908746516182737800400937939601254689148262150169127942992299598271<174>

2554622678263833197592677847961<31>
390908413013978675146771484752199003167231189156775159156205850793919698840431642638279029672333023682560763345367200793430440317854489182418711<144>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=538880341
Step 1 took 8801ms
********** Factor found in step 1: 2554622678263833197592677847961
Found probable prime factor of 31 digits: 2554622678263833197592677847961
Probable prime cofactor has 144 digits

5244190202071814186114383691498996428951787172160726809271085702104159403588979536844554032689461383576288871592299989937918211495575459931127155805464368137485526894426055819575009<181>

63529434660685481712826065940753124136218774931706660112279<59>
82547408615885665856592926150814026874539609045397055599612719249737327619468454230616936839903083048490196933791967820871<122>

Number: 49999_204
N=5244190202071814186114383691498996428951787172160726809271085702104159403588979536844554032689461383576288871592299989937918211495575459931127155805464368137485526894426055819575009
  ( 181 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=63529434660685481712826065940753124136218774931706660112279
 r2=82547408615885665856592926150814026874539609045397055599612719249737327619468454230616936839903083048490196933791967820871
Version: 
Total time: 261.15 hours.
Scaled time: 1371.06 units (timescale=5.250).
Factorization parameters were as follows:
n: 5244190202071814186114383691498996428951787172160726809271085702104159403588979536844554032689461383576288871592299989937918211495575459931127155805464368137485526894426055819575009
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -2
skew: 1.15
# Murphy_E = 1.415e-11
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 19000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38658588
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3510190 x 3510438
Total sieving time: 228.19 hours.
Total relation processing time: 9.19 hours.
Matrix solve time: 23.58 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 261.15 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367580k/51380224k available (5540k kernel code, 1086464k absent, 926180k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399964)
Total of 12 processors activated (81599.13 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

17241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931<206>

41006152481744188673570493536228027728945855165177610503773899582571449282291<77>
420458352390428142168860231001144457925753534637387296224061124677353255986020251179755458703468680200706467524489936297238404041<129>

Number: 3
N=17241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931
  ( 206 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=41006152481744188673570493536228027728945855165177610503773899582571449282291 (pp77)
 r2=420458352390428142168860231001144457925753534637387296224061124677353255986020251179755458703468680200706467524489936297238404041 (pp129)
Version: Msieve v. 1.43
Total time: 31.68 hours.
Scaled time: 55.42 units (timescale=1.749).
Factorization parameters were as follows:
n: 17241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931
m: 100000000000000000000000000000000000000000
deg: 5
c5: 50
c0: -1
skew: 0.46
type: snfs
lss: 1
rlim: 19500000
alim: 19500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19500000/19500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9750000, 20150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3588436 x 3588660
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 29.76 hours.
Time per square root: 1.92 hours.
Prototype def-par.txt line would be:
snfs,206.000,5,0,0,0,0,0,0,0,0,19500000,19500000,29,29,56,56,2.6,2.6,100000
total time: 31.68 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

211269141504654459376127036556737534882409149279078739262614639561175431331397162521738165228499869076978983950957953623244099431875698803544544797599042034519430885127325999<174>

10321173170665285965397933597759628491490741694395073646315859557433<68>
20469489079509010463842786717858580632039543792945477535870772969766526704942611906341103638209973787508903<107>

Number: 49999_207
N=211269141504654459376127036556737534882409149279078739262614639561175431331397162521738165228499869076978983950957953623244099431875698803544544797599042034519430885127325999
  ( 174 digits)
SNFS difficulty: 207 digits.
Divisors found:
 r1=10321173170665285965397933597759628491490741694395073646315859557433
 r2=20469489079509010463842786717858580632039543792945477535870772969766526704942611906341103638209973787508903
Version: 
Total time: 373.62 hours.
Scaled time: 1945.06 units (timescale=5.206).
Factorization parameters were as follows:
n: 211269141504654459376127036556737534882409149279078739262614639561175431331397162521738165228499869076978983950957953623244099431875698803544544797599042034519430885127325999
m: 100000000000000000000000000000000000000000
deg: 5
c5: 500
c0: -1
skew: 0.29
# Murphy_E = 8.946e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 23000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 40399078
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3809770 x 3810016
Total sieving time: 329.49 hours.
Total relation processing time: 14.15 hours.
Matrix solve time: 29.66 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 373.62 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7-4930K

108159451995498624713858969760365969144565370469527141080842045475257975795441401428301433079553387521059122118421510501192368240895486289323873247774871403104124700851559<171>

5444512418059213485770287129621<31>

19865773771906254655051914599652044940465958969830223108110278671710351443876157375526544478996082063754169631478275922528571331275683581579<140>

Factor=5444512418059213485770287129621  Method=ECM  B1=11000000  Sigma=1860206752

ECMNET/GMP-ECM 6.2.3

19865773771906254655051914599652044940465958969830223108110278671710351443876157375526544478996082063754169631478275922528571331275683581579<140>

33761778333577836984095743612600055368309<41>
588410171277877085168215275935150219768724737738366019195693655037268780693134405011863923995596031<99>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=236103015
Step 1 took 54366ms
Step 2 took 35538ms
********** Factor found in step 2: 33761778333577836984095743612600055368309
Found probable prime factor of 41 digits: 33761778333577836984095743612600055368309
Probable prime cofactor 588410171277877085168215275935150219768724737738366019195693655037268780693134405011863923995596031 has 99 digits

GMP-ECM 6.2.3

499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<210>

74233923525755882623876843773148868376704546444139853177420627156639777259999<77>
6735465084591981075391067251840787634425730351218289307321272035738372690381401228815484151781099392987616594380626862745747377260001<133>

Number: 49999_209
N=499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
  ( 210 digits)
SNFS difficulty: 209 digits.
Divisors found:
 r1=74233923525755882623876843773148868376704546444139853177420627156639777259999 (pp77)
 r2=6735465084591981075391067251840787634425730351218289307321272035738372690381401228815484151781099392987616594380626862745747377260001 (pp133)
Version: Msieve v. 1.42
Total time: 116.84 hours.
Scaled time: 99.43 units (timescale=0.851).
Factorization parameters were as follows:
name: 49999_209
n: 499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 500000000000000000000000000000000000000000
deg: 5
c5: 16
c0: -1
skew: 0.57
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [11000000, 23900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4319027 x 4319252
Total sieving time: 0.00 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 112.99 hours.
Time per square root: 3.34 hours.
Prototype def-par.txt line would be:
snfs,209.000,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 116.84 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

Total time: 30 days.

6376751687084932504132390485164712117745474729495273282998751370002634527718583731613603334777021969034275964753516206826953219495542662311801794679381444419974177<163>

15860760643458946874022600554360703213481516897168621728357230159<65>
402045767566307434874377773748286737555448607088803303487745034221811130246501832307787215605404303<99>

10^213*5-1 = 47*230807*21470669413327*53438730700991*62997301299238279*15860760643458946874022600554360703213481516897168621728357230159*402045767566307434874377773748286737555448607088803303487745034221811130246501832307787215605404303

factordb

2631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421<214>

9752788909634205994619077221096785938960657926162541908530453339026816786573399<79>
269828350818588838486696965972521625094679526174992740456312339175621830637920213766353561475619315428814153401271388702815978467270179<135>

Number: n
N=2631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421
  ( 214 digits)
SNFS difficulty: 214 digits.
Divisors found:

Sat Oct 16 19:09:16 2010  prp79 factor: 9752788909634205994619077221096785938960657926162541908530453339026816786573399
Sat Oct 16 19:09:16 2010  prp135 factor: 269828350818588838486696965972521625094679526174992740456312339175621830637920213766353561475619315428814153401271388702815978467270179
Sat Oct 16 19:09:16 2010  elapsed time 25:23:12 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
name: KA_4_9_214
n: 2631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421
m: 100000000000000000000000000000000000
deg: 6
c6: 50000
c0: -1
skew: 0.16
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 92800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 14798934 hash collisions in 74005543 relations
Msieve: matrix is 3599447 x 3599672 (1021.5 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,214,6,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
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: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

34396435213005339622188397218856760000111678770290453946962580586403576287514848246120643214242947429686712140190722657007506060303094931202874607413506025931652816281109768887397462222078881611<194>

116574985803146511559428829879757700017147911926744450502111<60>
295058455088200703710024912208089384052846390323806219151342388557461299394078344840807339700656777850221803274170568847291108200084501<135>

10^216*5-1 = 631*728561*316199580957499*116574985803146511559428829879757700017147911926744450502111*295058455088200703710024912208089384052846390323806219151342388557461299394078344840807339700656777850221803274170568847291108200084501

factordb

420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521<216>

29979151613498035542461348082989786726503784244119182673178067671784924775137379879<83>
14015342149899637914483845929363307316765291907978376298070367648161549469669907884526761546482631026407992131079476454286243492845599<134>

Number: 49999_217
N = 420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521 (216 digits)
SNFS difficulty: 218 digits.
Divisors found:
r1=29979151613498035542461348082989786726503784244119182673178067671784924775137379879 (pp83)
r2=14015342149899637914483845929363307316765291907978376298070367648161549469669907884526761546482631026407992131079476454286243492845599 (pp134)
Version: Msieve v. 1.48
Total time: 1506.18 hours.
Factorization parameters were as follows:
n: 420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521008403361344537815126050420168067226890756302521
m: 1000000000000000000000000000000000000
deg: 6
c6: 50
c0: -1
skew: 0.52
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [16000000, 41300000)
Relations: 47055864
Relations in full relation-set: 8534628 relations
Pruned matrix : 5433386 x 5433610
Polynomial selection time: 0.00 hours.
Total sieving time: 1473.67 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 28.88 hours.
time per square root: 3.29 hours.

GGNFS, Msieve

86659065373248384178108582324385314098596362856204504239748789131016021093547585333267516164627126747537894423186302952012205533377056791362736745882923756054218956566729444197887380600284962930761638735356251<209>

22966405098500429487826467596467086275956617380822614148312137846496943681046775281<83>
3773296909184394250574158477898778491609230279536702956242016369841470285379967796154781688717210749960693477326466415885967371<127>

Mon May 28 07:26:46 2018  
Mon May 28 07:26:46 2018  
Mon May 28 07:26:46 2018  Msieve v. 1.53 (SVN unknown)
Mon May 28 07:26:46 2018  random seeds: 3d9c9dc8 0b6aee64
Mon May 28 07:26:46 2018  factoring 86659065373248384178108582324385314098596362856204504239748789131016021093547585333267516164627126747537894423186302952012205533377056791362736745882923756054218956566729444197887380600284962930761638735356251 (209 digits)
Mon May 28 07:26:47 2018  searching for 15-digit factors
Mon May 28 07:26:48 2018  commencing number field sieve (209-digit input)
Mon May 28 07:26:48 2018  R0: -10000000000000000000000000000000000000
Mon May 28 07:26:48 2018  R1: 1
Mon May 28 07:26:48 2018  A0: -1
Mon May 28 07:26:48 2018  A1: 0
Mon May 28 07:26:48 2018  A2: 0
Mon May 28 07:26:48 2018  A3: 0
Mon May 28 07:26:48 2018  A4: 0
Mon May 28 07:26:48 2018  A5: 0
Mon May 28 07:26:48 2018  A6: 5
Mon May 28 07:26:48 2018  skew 0.76, size 4.671e-11, alpha 2.301, combined = 1.941e-12 rroots = 2
Mon May 28 07:26:48 2018  
Mon May 28 07:26:48 2018  commencing linear algebra
Mon May 28 07:26:49 2018  read 5338907 cycles
Mon May 28 07:26:56 2018  cycles contain 14330639 unique relations
Mon May 28 07:28:59 2018  read 14330639 relations
Mon May 28 07:29:20 2018  using 20 quadratic characters above 4294917295
Mon May 28 07:30:11 2018  building initial matrix
Mon May 28 07:32:23 2018  memory use: 1879.4 MB
Mon May 28 07:32:27 2018  read 5338907 cycles
Mon May 28 07:32:28 2018  matrix is 5338729 x 5338907 (1577.1 MB) with weight 459159390 (86.00/col)
Mon May 28 07:32:28 2018  sparse part has weight 360030892 (67.44/col)
Mon May 28 07:33:23 2018  filtering completed in 2 passes
Mon May 28 07:33:25 2018  matrix is 5337786 x 5337964 (1577.0 MB) with weight 459134063 (86.01/col)
Mon May 28 07:33:25 2018  sparse part has weight 360022552 (67.45/col)
Mon May 28 07:33:36 2018  matrix starts at (0, 0)
Mon May 28 07:33:37 2018  matrix is 5337786 x 5337964 (1577.0 MB) with weight 459134063 (86.01/col)
Mon May 28 07:33:37 2018  sparse part has weight 360022552 (67.45/col)
Mon May 28 07:33:37 2018  saving the first 48 matrix rows for later
Mon May 28 07:33:38 2018  matrix includes 64 packed rows
Mon May 28 07:33:39 2018  matrix is 5337738 x 5337964 (1517.1 MB) with weight 367940775 (68.93/col)
Mon May 28 07:33:39 2018  sparse part has weight 344315826 (64.50/col)
Mon May 28 07:33:39 2018  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Mon May 28 07:34:00 2018  commencing Lanczos iteration (6 threads)
Mon May 28 07:34:00 2018  memory use: 1247.9 MB
Mon May 28 07:34:17 2018  linear algebra at 0.0%, ETA 15h40m
Mon May 28 07:34:22 2018  checkpointing every 350000 dimensions
Mon May 28 18:22:41 2018  lanczos halted after 84404 iterations (dim = 5337733)
Mon May 28 18:22:46 2018  recovered 32 nontrivial dependencies
Mon May 28 18:22:47 2018  BLanczosTime: 39359
Mon May 28 18:22:47 2018  elapsed time 10:56:01
Mon May 28 18:22:47 2018 -> Running square root step ...
Mon May 28 18:22:47 2018  
Mon May 28 18:22:47 2018  
Mon May 28 18:22:47 2018  Msieve v. 1.53 (SVN unknown)
Mon May 28 18:22:47 2018  random seeds: 55933d58 4bdac7d1
Mon May 28 18:22:47 2018  factoring 86659065373248384178108582324385314098596362856204504239748789131016021093547585333267516164627126747537894423186302952012205533377056791362736745882923756054218956566729444197887380600284962930761638735356251 (209 digits)
Mon May 28 18:22:48 2018  searching for 15-digit factors
Mon May 28 18:22:49 2018  commencing number field sieve (209-digit input)
Mon May 28 18:22:49 2018  R0: -10000000000000000000000000000000000000
Mon May 28 18:22:49 2018  R1: 1
Mon May 28 18:22:49 2018  A0: -1
Mon May 28 18:22:49 2018  A1: 0
Mon May 28 18:22:49 2018  A2: 0
Mon May 28 18:22:49 2018  A3: 0
Mon May 28 18:22:49 2018  A4: 0
Mon May 28 18:22:49 2018  A5: 0
Mon May 28 18:22:49 2018  A6: 5
Mon May 28 18:22:49 2018  skew 0.76, size 4.671e-11, alpha 2.301, combined = 1.941e-12 rroots = 2
Mon May 28 18:22:49 2018  
Mon May 28 18:22:49 2018  commencing square root phase
Mon May 28 18:22:49 2018  reading relations for dependency 1
Mon May 28 18:22:50 2018  read 2669562 cycles
Mon May 28 18:22:53 2018  cycles contain 7164250 unique relations
Mon May 28 18:23:58 2018  read 7164250 relations
Mon May 28 18:24:30 2018  multiplying 7164250 relations
Mon May 28 18:28:40 2018  multiply complete, coefficients have about 189.55 million bits
Mon May 28 18:28:42 2018  initial square root is modulo 6346897
Mon May 28 18:34:04 2018  sqrtTime: 675
Mon May 28 18:34:04 2018  p83 factor: 22966405098500429487826467596467086275956617380822614148312137846496943681046775281
Mon May 28 18:34:04 2018  p127 factor: 3773296909184394250574158477898778491609230279536702956242016369841470285379967796154781688717210749960693477326466415885967371
Mon May 28 18:34:04 2018  elapsed time 00:11:17
Mon May 28 18:34:04 2018 -> Computing 1.5275e+09 scale for this machine...
Mon May 28 18:34:04 2018 -> procrels -speedtest> PIPE
Mon May 28 18:34:07 2018 -> Factorization summary written to s223-1361.txt


Number: 1361
N = 86659065373248384178108582324385314098596362856204504239748789131016021093547585333267516164627126747537894423186302952012205533377056791362736745882923756054218956566729444197887380600284962930761638735356251 (209 digits)
SNFS difficulty: 223 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 423.79 hours.
Factorization parameters were as follows:
n: 86659065373248384178108582324385314098596362856204504239748789131016021093547585333267516164627126747537894423186302952012205533377056791362736745882923756054218956566729444197887380600284962930761638735356251
m: 10000000000000000000000000000000000000
c6: 5
c0: -1
type: snfs

Factor base limits: 36500000/36500000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 61081714
Relations: 7164250 relations
Pruned matrix : 5337738 x 5337964
Polynomial selection time: 0.00 hours.
Total sieving time: 412.21 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 10.93 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,223,6,0,0,0,0,0,0,0,0,36500000,36500000,29,29,58,58,2.6,2.6,100000
total time: 423.79 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 12, speed: 3.30GHz

ci7 3960  3.3GHz windows 7 

22659695335864270237713799890417713355760389130416063729939938211542758165307915802010458808979221512570919181477421199776484765207034838375191077880919675458779521617575947367872449481342233457402718528968834308228959<218>

21118070929959317211626114099727311791<38>

1073000247561339300781980328244866992740839568567052581454393772037678240087127436460526365491700195594995855785448223892375425434892528225565869520524190025763099217582798520423249<181>

GMP-ECM 6.2.3 [powered by GMP 4.2.2] [ECM]
Input number is 22659695335864270237713799890417713355760389130416063729939938211542758165307915802010458808979221512570919181477421199776484765207034838375191077880919675458779521617575947367872449481342233457402718528968834308228959 (218 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2793598215
Step 1 took 34500ms
Step 2 took 18511ms
********** Factor found in step 2: 21118070929959317211626114099727311791
Found probable prime factor of 38 digits: 21118070929959317211626114099727311791
Composite cofactor 1073000247561339300781980328244866992740839568567052581454393772037678240087127436460526365491700195594995855785448223892375425434892528225565869520524190025763099217582798520423249 has 181 digits

3223569209968546718943839247963141477853295590996756928280941304794329969986088463955282408621704923981680594828837197173709115639005820814387049882357860518211090771596767372768786536527032287553971522961029<208>

851656886812221489761650074771849972581<39>

3785056235539252957419901760913803349237596296285105697481640266338746205559778137253554308273021639716792707801903916220178510661762642974436979058492175269675845403809<169>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2506630945
Step 1 took 168797ms
Step 2 took 59349ms
********** Factor found in step 2: 851656886812221489761650074771849972581
Found probable prime factor of 39 digits: 851656886812221489761650074771849972581
Composite cofactor 3785056235539252957419901760913803349237596296285105697481640266338746205559778137253554308273021639716792707801903916220178510661762642974436979058492175269675845403809 has 169 digits

888491220767629204043700549560288731578499099041576445886905560867557360059062725600522974975551567298127222233163286631270380932523615201753348655871491843442192480819154112567500793089238417<192>

247261790284811252546669307192809454199807<42>

3593321959467375351300115139099431792086576064520801154758481614174516732808784673224354794102131804610101836595616424592156197257336371016290003269231<151>

08/09/22 16:16:48, prp42=247261790284811252546669307192809454199807 stg2 B1=11000000 sigma=2967173348 thread=9

GMP-ECM 7.0.4+ds-6

i10920x, 32 GB, Ubuntu 

1345528601213774446568065551725468889922927317637483733068526684583948678205198174784010583461901154090844557724117004337187296482795333692981387577598733238165361272238281784652515812979<187>

182501490957644244995946501154690449123644111<45>
7372699226473994608203901243870940633170357396747605658175157027007000543354235955835658215954508299101514672607947410659222198418546528316189<142>

08/09/22 17:50:34, prp45 = 182501490957644244995946501154690449123644111 (curve  926 stg1 B1=11000000 sigma=18425149 thread=3)

GMP-ECM 7.0.4+ds-6

i9-10920x, 32 GB, Ubuntu 

125064061947942932177920125423510967623982575206107154226323051543272187629056595816833302650756903722543789841848559589393893472333750611209514297196426344372440310533649<171>

447336377102339125698176114896399<33>

279574987301628439688446757761037227003507265773642977725071986942769160442355581237337876208228991795523810575815672350925788277313462751<138>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=791304540
Step 1 took 7304ms
Step 2 took 4009ms
********** Factor found in step 2: 447336377102339125698176114896399
Found probable prime factor of 33 digits: 447336377102339125698176114896399
Composite cofactor has 138 digits

279574987301628439688446757761037227003507265773642977725071986942769160442355581237337876208228991795523810575815672350925788277313462751<138>

8626344382618303838988675128545481723242783<43>
32409439607461008824778680821663857325194089577362379029205157792407692648940641787492915621697<95>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1637473757
Step 1 took 42607ms
Step 2 took 14660ms
********** Factor found in step 2: 8626344382618303838988675128545481723242783
Found probable prime factor of 43 digits: 8626344382618303838988675128545481723242783
Probable prime cofactor 32409439607461008824778680821663857325194089577362379029205157792407692648940641787492915621697 has 95 digits

GMP-ECM 6.2.1

608181839209934649515819756829809452926459803673257356692998348015455689664863948500202411423137819449976464099365727358114578914127059890163124787808139712240262938520595711065046434206508822623<195>

217043482878650632536824945920947140964320293604342932570231621045970937147714464148791612854695096924586326581127223240696128763463733573403584521840841009016730005031781293925347452307196039893152316930129141<210>

11420035611435368713073157578488543996684157602114775891980190118537431724099209657460973221210875152918670707182595360344940508299307862077981278627259445037601<161>

7434562317926460457414657297383108075633931846066533669822849922943734905143354593366058129468311477576588226576688000445143454682976782952722417866417513393949416463993266778820715598162010144529264005675190843999<214>

565983489748107913303715073226094944654039616427992999879187456268460762643161884792381911850258280633415421328015436285931144046809495556482183304473172587111998577082136008997000933332492391342292681<201>

536528526489183621659248725399832474736154770363871041345304201400945204531433912649819487325192844873205277177907892607804785879<129>

6470258543437344169265993338041712737160819241716314457256782291<64>
82922270089712866414156353901693856106990556211017845529500725869<65>

> trunk/msieve -s t2.dat -i t2.ini -nf t2.fb -nc -t 4 -v


Msieve v. 1.45
Tue May 11 21:26:40 2010
random seeds: e47e6007 996417ce
factoring 536528526489183621659248725399832474736154770363871041345304201400945204531433912649819487325192844873205277177907892607804785879 (129 digits)
searching for 15-digit factors
commencing number field sieve (129-digit input)
R0: -7568829820763416342987306
R1:  129202982197687
A0:  29981918341596967230913552608435
A1:  475786070351867145816434631
A2:  1004890381602806339499
A3: -5274452512518991
A4: -13507916470
A5:  21600
skew 353638.06, size 2.209987e-12, alpha -6.409585, combined = 9.427630e-11

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
error -15 reading relation 36114157
error -1 reading relation 37722911
error -11 reading relation 39275627
read 40M relations
error -9 reading relation 40844834
error -9 reading relation 43303394
read 50M relations
found 5182935 hash collisions in 55135479 relations
commencing duplicate removal, pass 2
found 3151717 duplicates and 51983762 unique relations
memory use: 197.2 MB
reading ideals above 15794176
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 910.0 MB
commencing in-memory singleton removal
begin with 51983762 relations and 54375739 unique ideals
reduce to 16584470 relations and 12197718 ideals in 18 passes
max relations containing the same ideal: 21
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 508.2 MB
keeping 14119471 ideals with weight <= 200, target excess is 116097
commencing in-memory singleton removal
begin with 16584480 relations and 14119471 unique ideals
reduce to 16576822 relations and 14111770 ideals in 10 passes
max relations containing the same ideal: 200
removing 1101039 relations and 1001039 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 15475783 relations and 14111770 unique ideals
reduce to 15434491 relations and 13069059 ideals in 9 passes
max relations containing the same ideal: 193
removing 790426 relations and 690426 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 14644065 relations and 13069059 unique ideals
reduce to 14619899 relations and 12354304 ideals in 8 passes
max relations containing the same ideal: 187
removing 691352 relations and 591352 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 13928547 relations and 12354304 unique ideals
reduce to 13908488 relations and 11742776 ideals in 6 passes
max relations containing the same ideal: 181
removing 633269 relations and 533269 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 13275219 relations and 11742776 unique ideals
reduce to 13257903 relations and 11192070 ideals in 7 passes
max relations containing the same ideal: 175
removing 593758 relations and 493758 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 12664145 relations and 11192070 unique ideals
reduce to 12647548 relations and 10681619 ideals in 9 passes
max relations containing the same ideal: 169
removing 562684 relations and 462684 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 12084864 relations and 10681619 unique ideals
reduce to 12069656 relations and 10203612 ideals in 7 passes
max relations containing the same ideal: 163
removing 540655 relations and 440655 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 11529001 relations and 10203612 unique ideals
reduce to 11514346 relations and 9748205 ideals in 7 passes
max relations containing the same ideal: 158
removing 521666 relations and 421666 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 10992680 relations and 9748205 unique ideals
reduce to 10977796 relations and 9311542 ideals in 6 passes
max relations containing the same ideal: 154
removing 507122 relations and 407122 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 10470674 relations and 9311542 unique ideals
reduce to 10456670 relations and 8890319 ideals in 7 passes
max relations containing the same ideal: 148
removing 491952 relations and 391952 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 9964718 relations and 8890319 unique ideals
reduce to 9950071 relations and 8483600 ideals in 6 passes
max relations containing the same ideal: 143
removing 481485 relations and 381485 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 9468586 relations and 8483600 unique ideals
reduce to 9453351 relations and 8086748 ideals in 6 passes
max relations containing the same ideal: 137
removing 472098 relations and 372098 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 8981253 relations and 8086748 unique ideals
reduce to 8966596 relations and 7699850 ideals in 7 passes
max relations containing the same ideal: 134
removing 462554 relations and 362554 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 8504042 relations and 7699850 unique ideals
reduce to 8489017 relations and 7322141 ideals in 6 passes
max relations containing the same ideal: 129
removing 455975 relations and 355975 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 8033042 relations and 7322141 unique ideals
reduce to 8017292 relations and 6950248 ideals in 6 passes
max relations containing the same ideal: 121
removing 450304 relations and 350304 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 7566988 relations and 6950248 unique ideals
reduce to 7551158 relations and 6583960 ideals in 6 passes
max relations containing the same ideal: 114
removing 443270 relations and 343270 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 7107888 relations and 6583960 unique ideals
reduce to 7090617 relations and 6223224 ideals in 6 passes
max relations containing the same ideal: 111
removing 439476 relations and 339476 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 6651141 relations and 6223224 unique ideals
reduce to 6633096 relations and 5865500 ideals in 6 passes
max relations containing the same ideal: 103
removing 435029 relations and 335029 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 6198067 relations and 5865500 unique ideals
reduce to 6179912 relations and 5512089 ideals in 6 passes
max relations containing the same ideal: 98
removing 431718 relations and 331718 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 5748194 relations and 5512089 unique ideals
reduce to 5728473 relations and 5160406 ideals in 7 passes
max relations containing the same ideal: 92
removing 429172 relations and 329172 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 5299301 relations and 5160406 unique ideals
reduce to 5277529 relations and 4809179 ideals in 6 passes
max relations containing the same ideal: 86
removing 426635 relations and 326635 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 4850894 relations and 4809179 unique ideals
reduce to 4826866 relations and 4458147 ideals in 7 passes
max relations containing the same ideal: 83
removing 428263 relations and 328263 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 4398603 relations and 4458147 unique ideals
reduce to 4372761 relations and 4103598 ideals in 6 passes
max relations containing the same ideal: 77
removing 426214 relations and 326214 ideals in 100000 cliques
commencing in-memory singleton removal
begin with 3946547 relations and 4103598 unique ideals
reduce to 3917737 relations and 3748054 ideals in 7 passes
max relations containing the same ideal: 71
removing 187201 relations and 152191 ideals in 35010 cliques
commencing in-memory singleton removal
begin with 3730536 relations and 3748054 unique ideals
reduce to 3725064 relations and 3590359 ideals in 6 passes
max relations containing the same ideal: 68
relations with 0 large ideals: 460
relations with 1 large ideals: 1591
relations with 2 large ideals: 25255
relations with 3 large ideals: 158873
relations with 4 large ideals: 516714
relations with 5 large ideals: 954864
relations with 6 large ideals: 1054204
relations with 7+ large ideals: 1013103
commencing 2-way merge
reduce to 2282492 relation sets and 2147787 unique ideals
commencing full merge
memory use: 261.7 MB
found 1182216 cycles, need 1163987
weight of 1163987 cycles is about 81704703 (70.19/cycle)
distribution of cycle lengths:
1 relations: 124593
2 relations: 123890
3 relations: 127541
4 relations: 124309
5 relations: 119596
6 relations: 107946
7 relations: 95205
8 relations: 81026
9 relations: 66867
10+ relations: 193014
heaviest cycle: 18 relations
commencing cycle optimization
start with 6723786 relations
pruned 165018 relations
memory use: 221.0 MB
distribution of cycle lengths:
1 relations: 124593
2 relations: 126298
3 relations: 131591
4 relations: 127305
5 relations: 123118
6 relations: 110146
7 relations: 97185
8 relations: 81746
9 relations: 66757
10+ relations: 175248
heaviest cycle: 18 relations
RelProcTime: 1690

commencing linear algebra
read 1163987 cycles
cycles contain 3650140 unique relations
read 3650140 relations
using 20 quadratic characters above 1073740952
building initial matrix
memory use: 468.4 MB
read 1163987 cycles
matrix is 1163810 x 1163987 (352.7 MB) with weight 110588492 (95.01/col)
sparse part has weight 78487647 (67.43/col)
filtering completed in 2 passes
matrix is 1163306 x 1163482 (352.6 MB) with weight 110569954 (95.03/col)
sparse part has weight 78483066 (67.46/col)
read 1163482 cycles
matrix is 1163306 x 1163482 (352.6 MB) with weight 110569954 (95.03/col)
sparse part has weight 78483066 (67.46/col)
saving the first 48 matrix rows for later
matrix is 1163258 x 1163482 (338.5 MB) with weight 87789775 (75.45/col)
sparse part has weight 77102665 (66.27/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 353.7 MB
linear algebra at 0.1%, ETA 1h16m163482 dimensions (0.1%, ETA 1h16m)
linear algebra completed 1163194 of 1163482 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 18398 iterations (dim = 1163258)
recovered 31 nontrivial dependencies
BLanczosTime: 5678

commencing square root phase
reading relations for dependency 1
read 582328 cycles
cycles contain 1826890 unique relations
read 1826890 relations
multiplying 1826890 relations
multiply complete, coefficients have about 84.33 million bits
initial square root is modulo 1129477
reading relations for dependency 2
read 581981 cycles
cycles contain 1824880 unique relations
read 1824880 relations
multiplying 1824880 relations
multiply complete, coefficients have about 84.23 million bits
initial square root is modulo 1111703
sqrtTime: 622
prp64 factor: 6470258543437344169265993338041712737160819241716314457256782291
prp65 factor: 82922270089712866414156353901693856106990556211017845529500725869
elapsed time 02:13:11

34063920753524954385843233629928351135158593822066367754903503249220845561624412734170904679678674619032576035585555670796107096404320374580342215037705355317492753721909171142699851760177657250117264960873<206>

964344903360294644014203974379192320494122069791128801501365246462690347458738060391612947879974272163404110189432439544298720900046021278704816856372996164976783655804518891687360012081700501131660314160425536343410711<219>

3770643185594884855062872657981351658981041<43>

255750771392109959999408101486188660978546255114160333316743868786983121417413844120867172568236824691164917643963749253355746418074108029648896302647544320710165617356592364871<177>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3766316928
Step 1 took 461853ms
Step 2 took 108778ms
********** Factor found in step 2: 3770643185594884855062872657981351658981041
Found probable prime factor of 43 digits: 3770643185594884855062872657981351658981041
Composite cofactor 255750771392109959999408101486188660978546255114160333316743868786983121417413844120867172568236824691164917643963749253355746418074108029648896302647544320710165617356592364871 has 177 digits

8534144113254044647736191396050012351887167933935840870791178052511035707485501802973979205308809625134623072781455159620114765104038162726914255936277971571932861180266881328600171074497393030588719<199>

25616050232745547195235941872673<32>

333156128119418852911979742735163554111726301465071133691010432496864876386752207400220263894483613510408835338957772125123778523865612598997627728000470222847119405903<168>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1220104373
Step 1 took 9734ms
Step 2 took 6552ms
********** Factor found in step 2: 25616050232745547195235941872673
Found probable prime factor of 32 digits: 25616050232745547195235941872673
Composite cofactor 333156128119418852911979742735163554111726301465071133691010432496864876386752207400220263894483613510408835338957772125123778523865612598997627728000470222847119405903 has 168 digits

GMP-ECM 6.3

7563712935915685779160760667482539168687438639378807383999116558329085047900994023154038039425097307166920555297548903185987162866405163898095608356995148634522903679141246288107876699377203876856702432943902966639487724850276302433549<235>

2690920046364699064192261715761<31>
2810827823046578732309945858361301765321017194641362074991732793795156529399851864763623962944446216182530402258382409509009244368928634311692449977438787477729329410297310626971000350274958564005706519709<205>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=570533954
Step 1 took 102746ms
Step 2 took 28596ms
********** Factor found in step 2: 2690920046364699064192261715761
Found probable prime factor of 31 digits: 2690920046364699064192261715761
Probable prime cofactor 2810827823046578732309945858361301765321017194641362074991732793795156529399851864763623962944446216182530402258382409509009244368928634311692449977438787477729329410297310626971000350274958564005706519709 has 205 digits

GMP-ECM 6.2.1

1701440551165953306382883723986716180210256234757224734515612677607665601248881763871931898651656401388215067719807685849689218077987445377657557673902002946079911734718299726467778244465316961938638656649070511631<214>

24771111459882069751848520790069279<35>

68686484008661172948703761740333261688094379389728492345659030929957397079798283183390414804461724983518887704730869036988083558574125907542353477804544085656528550127345216310289<179>

Step 1 took 11684ms
Step 2 took 7660ms
********** Factor found in step 2: 24771111459882069751848520790069279
Found probable prime factor of 35 digits: 24771111459882069751848520790069279
Composite cofactor 68686484008661172948703761740333261688094379389728492345659030929957397079798283183390414804461724983518887704730869036988083558574125907542353477804544085656528550127345216310289 has 179 digits

GMP-ECM 6.3

14135012352185399391201858831031956491118505741931977729656952923697966221455827334594091137507029017917779233763652964856106695837450811042854476838629949106203832598248165426761434128936422158348957648223278692138959<218>

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<247>

58930429401730153100681299441519307165466512611<47>
84845809724461362218165130586126185531399732821311034367560252283968350458879284749501409247653423973356433519951891027006864486811560455329257878845231262477127557316889330342370345671140710102771509<200>

Factor=58930429401730153100681299441519307165466512611  Method=ECM  B1=11000000  Sigma=2749045811

ECMNET/GMP-ECM 6.2.3

53538091774870362354515313038884199777164128019879213735368055544707741949823485528570854311160098528192572014057744851230420143519635849383058933929071027603050803152264821467477989597927753180389547534065631321848422489<221>

6797785463025725173887190631272412879<37>

7875813684629040149803138237926562513866874651706541240549375273634108561338882834494669774049203001173621702126482789082589182355743426201305976728575338656631502624264493260143509591<184>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2762950941
Step 1 took 125830ms
Step 2 took 56706ms
********** Factor found in step 2: 6797785463025725173887190631272412879
Found probable prime factor of 37 digits: 6797785463025725173887190631272412879
Composite cofactor 7875813684629040149803138237926562513866874651706541240549375273634108561338882834494669774049203001173621702126482789082589182355743426201305976728575338656631502624264493260143509591 has 184 digits

GMP-ECM 6.3

7875813684629040149803138237926562513866874651706541240549375273634108561338882834494669774049203001173621702126482789082589182355743426201305976728575338656631502624264493260143509591<184>

6444224421774218716692167479927125409<37>
1222150746025799862132186343332481842357590604908111367945092773137682768169311767654192798992307347389925681556198396431678919601432890642165514999<148>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1739591430
Step 1 took 85801ms
Step 2 took 40869ms
********** Factor found in step 2: 6444224421774218716692167479927125409
Found probable prime factor of 37 digits: 6444224421774218716692167479927125409
Probable prime cofactor 1222150746025799862132186343332481842357590604908111367945092773137682768169311767654192798992307347389925681556198396431678919601432890642165514999 has 148 digits

1246882793017456359102244389027431421446384039900249376558603491271820448877805486284289276807980049875311720698254364089775561097256857855361596009975062344139650872817955112219451371571072319201995012468827930174563591022443890274314214463840399<247>

235241054550401971978237896515155994787634316184247420487095416376554003673041959185633873329023669439790681116334334380256794250219808534119974411608929919161930199234920382928138825441136188796489687584577<207>

1350483535571112121259430569909467387271431744594985183238951833912921830675889370789562744848113454934017132411123269086311719014574551857548985061689821649614703639852662128764751878705619950411877696886340032853301146402553<226>

31659415979788077458312286878799382781668758983<47>
42656615536852743284362884719890969938267657730814498638741442838185624334434215076459259854096941166380573364544168307701010064040405860765539263074481103760218989750064898409791<179>

GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Running on server
Input number is 1350483535571112121259430569909467387271431744594985183238951833912921830675889370789562744848113454934017132411123269086311719014574551857548985061689821649614703639852662128764751878705619950411877696886340032853301146402553 (226 digits)
[Fri Jan 20 00:21:25 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1819184575
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20    25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 1299090ms
Using 27 small primes for NTT
Estimated memory usage: 610M
Initializing tables of differences for F took 790ms
Computing roots of F took 33430ms
Building F from its roots took 42900ms
Computing 1/F took 25620ms
Initializing table of differences for G took 680ms
Computing roots of G took 27300ms
Building G from its roots took 47550ms
Computing roots of G took 25980ms
Building G from its roots took 48510ms
Computing G * H took 13070ms
Reducing  G * H mod F took 13570ms
Computing roots of G took 29040ms
Building G from its roots took 48300ms
Computing G * H took 13110ms
Reducing  G * H mod F took 13620ms
Computing roots of G took 28920ms
Building G from its roots took 48970ms
Computing G * H took 13300ms
Reducing  G * H mod F took 13770ms
Computing polyeval(F,G) took 92060ms
Computing product of all F(g_i) took 150ms
Step 2 took 581070ms
********** Factor found in step 2: 31659415979788077458312286878799382781668758983
Found probable prime factor of 47 digits: 31659415979788077458312286878799382781668758983
Probable prime cofactor 42656615536852743284362884719890969938267657730814498638741442838185624334434215076459259854096941166380573364544168307701010064040405860765539263074481103760218989750064898409791 has 179 digits

GMP-ECM

3737528533498177677141549599467792082953124210902608588530056108249273469864059636262422460027691094752747720533859695357084107732738056466131085655035165662203506187626867089013022161617881438028664674590370180441351872472530434169725516704331<244>

6563250056485602277363426735241<31>
569463071090041234434700106028665339438468947321698050512940662775358034080081422533581465052956809089036696292265014929059901900620994821496488399320686094168717959659764387351497456632454316362832614142540061491<213>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=507066655
Step 1 took 107875ms
********** Factor found in step 1: 6563250056485602277363426735241
Found probable prime factor of 31 digits: 6563250056485602277363426735241
Probable prime cofactor 569463071090041234434700106028665339438468947321698050512940662775358034080081422533581465052956809089036696292265014929059901900620994821496488399320686094168717959659764387351497456632454316362832614142540061491 has 213 digits

GMP-ECM 6.2.1

30827222541894012012459838055561445781471574226417469617834694026693123065846495422403145492398111425453353658428126174349555823590308984402079547463968912630226341649447448454866268237844952080935274700526156753130578896871775593904306645051169<245>

1154281424229612803825531588437765022029216434433<49>
26706851461694992127836629096338493624748434732844941827709174443517046457820604063648797470783052696098718135400781983910932873170423876153548653062432886051276341246406047118330034278230852943393<197>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 30827222541894012012459838055561445781471574226417469617834694026693123065846495422403145492398111425453353658428126174349555823590308984402079547463968912630226341649447448454866268237844952080935274700526156753130578896871775593904306645051169 (245 digits)
[Tue Sep 21 08:37:49 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=4209279447
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20      25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 512853ms
Using 29 small primes for NTT
Estimated memory usage: 654M
Initializing tables of differences for F took 327ms
Computing roots of F took 20639ms
Building F from its roots took 15273ms
Computing 1/F took 7083ms
Initializing table of differences for G took 297ms
Computing roots of G took 17628ms
Building G from its roots took 13697ms
Computing roots of G took 18829ms
Building G from its roots took 13697ms
Computing G * H took 3885ms
Reducing  G * H mod F took 3713ms
Computing roots of G took 17425ms
Building G from its roots took 13681ms
Computing G * H took 3853ms
Reducing  G * H mod F took 3713ms
Computing roots of G took 18767ms
Building G from its roots took 13697ms
Computing G * H took 3900ms
Reducing  G * H mod F took 3713ms
Computing polyeval(F,G) took 26302ms
Computing product of all F(g_i) took 109ms
Step 2 took 220835ms
********** Factor found in step 2: 1154281424229612803825531588437765022029216434433
Found probable prime factor of 49 digits: 1154281424229612803825531588437765022029216434433
Probable prime cofactor 26706851461694992127836629096338493624748434732844941827709174443517046457820604063648797470783052696098718135400781983910932873170423876153548653062432886051276341246406047118330034278230852943393 has 197 digits

GMP-ECM

2525919220410231504278491100257123244022059151503034160323813553029886948358968630391852582830424999753431035915490369293371145199981384532416163468542213712873035342731787414939535744817102023638894712441932672022546824858249<226>

2354714976365288705472274129562633774669198188902243051885189973400058103599557704805299423434433936023944272309143875527903737738750784695400329532205728896988908237899739892778425959167<187>

39417145884918963024468102545389317418885295939477566349989579680531261696690378913311397001727666826924328248376161461613928647640793671620628812904455549390213403730768532918430267871990887624442868524187422688017200909<221>

4474563115550753206715869546223274629<37>

8809160775479929615183643508450521035541361498928406361400894340271692298221341657341488745556272737178013020673266531850189162081828314596703563026652702798613429966585795963190105321<184>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3335501762
Step 1 took 148992ms
Step 2 took 55248ms
********** Factor found in step 2: 4474563115550753206715869546223274629
Found probable prime factor of 37 digits: 4474563115550753206715869546223274629
Composite cofactor 8809160775479929615183643508450521035541361498928406361400894340271692298221341657341488745556272737178013020673266531850189162081828314596703563026652702798613429966585795963190105321 has 184 digits

479376174622211865272272219245589662565194137478928431810226328696892652888910982420636092911309945395131454669309608006536496629470019205279322717199024386149889602528860267102032631383372889596881521304347603531356842783552287942488821547547092559<249>

11721584125896675342500506911851<32>
40896876179314256708197688730526378700307486382117075718756240561425595787321194706560407846097028792484350330966187710540072020452048475447430346837444745243006926659151784597045151359550780184019874821304763207220909<218>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=368619935
Step 1 took 35575ms
Step 2 took 12461ms
********** Factor found in step 2: 11721584125896675342500506911851
Found probable prime factor of 32 digits: 11721584125896675342500506911851
Probable prime cofactor 40896876179314256708197688730526378700307486382117075718756240561425595787321194706560407846097028792484350330966187710540072020452048475447430346837444745243006926659151784597045151359550780184019874821304763207220909 has 218 digits

GMP-ECM 6.2.1

1744300663291258824460663107060674417106175197628393000567979181980899698420881120921096803698112767851757328844945381236620559799807310594327541220179479467889221418491115038268386682013256475724933972114842104334088278289076878760952071397156573625553<253>

949910108433763141626427011905933734472127348340534238738503562146273666055673483535052585766945749303806624296849358099441833063032017616444226302571950064914070462390153540702140200578026064523609498028624377527702737392750248075760726829<240>

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<262>

113698069763224668441418917753548078179029210350369741917532633596794622588331183893056759545165527874097256881474110329<120>
43976120354659146612026798097328326960551803227692600806060100248339479031211430178642452342456158830386446137151012230371188980878145277266231<143>

Sieving by NFS@home, filtering, linear algebra and square root by Dmitry Domanov
----------
Mon Feb  5 17:32:04 2024  
Mon Feb  5 17:32:04 2024  
Mon Feb  5 17:32:04 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Feb  5 17:32:04 2024  random seeds: 25397041 3c8e7b0a
Mon Feb  5 17:32:04 2024  Using 32 OpenMP threads
Mon Feb  5 17:32:04 2024  factoring 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (262 digits)
Mon Feb  5 17:32:05 2024  searching for 15-digit factors
Mon Feb  5 17:32:06 2024  commencing number field sieve (262-digit input)
Mon Feb  5 17:32:06 2024  R0: -50000000000000000000000000000000000000000000
Mon Feb  5 17:32:06 2024  R1: 1
Mon Feb  5 17:32:06 2024  A0: -25
Mon Feb  5 17:32:06 2024  A1: 0
Mon Feb  5 17:32:06 2024  A2: 0
Mon Feb  5 17:32:06 2024  A3: 0
Mon Feb  5 17:32:06 2024  A4: 0
Mon Feb  5 17:32:06 2024  A5: 0
Mon Feb  5 17:32:06 2024  A6: 8
Mon Feb  5 17:32:06 2024  skew 1.00, size 4.428e-13, alpha 1.566, combined = 6.311e-14 rroots = 2
Mon Feb  5 17:32:06 2024  
Mon Feb  5 17:32:06 2024  commencing relation filtering
Mon Feb  5 17:32:06 2024  setting target matrix density to 120.0
Mon Feb  5 17:32:06 2024  estimated available RAM is 257736.5 MB
Mon Feb  5 17:32:06 2024  commencing duplicate removal, pass 1
Mon Feb  5 17:32:56 2024  error -1 reading relation 15113474
Mon Feb  5 17:34:05 2024  error -1 reading relation 37803165
Mon Feb  5 17:34:29 2024  error -11 reading relation 45646855
Mon Feb  5 17:34:32 2024  error -1 reading relation 46680868
Mon Feb  5 17:35:11 2024  error -5 reading relation 59605474
Mon Feb  5 17:35:12 2024  error -1 reading relation 60117212
Mon Feb  5 17:35:48 2024  error -1 reading relation 72636521
Mon Feb  5 17:36:02 2024  error -1 reading relation 77404378
Mon Feb  5 17:36:17 2024  error -1 reading relation 82208573
Mon Feb  5 17:36:25 2024  error -1 reading relation 84693333
Mon Feb  5 17:36:27 2024  error -1 reading relation 85518200
Mon Feb  5 17:36:45 2024  error -1 reading relation 91457469
Mon Feb  5 17:37:08 2024  error -1 reading relation 99054383
Mon Feb  5 17:37:09 2024  error -1 reading relation 99448876
Mon Feb  5 17:37:26 2024  error -1 reading relation 104596573
Mon Feb  5 17:38:01 2024  error -1 reading relation 115746797
Mon Feb  5 17:38:05 2024  error -1 reading relation 116916171
Mon Feb  5 17:38:09 2024  error -1 reading relation 118309267
Mon Feb  5 17:38:15 2024  error -1 reading relation 120351764
Mon Feb  5 17:38:43 2024  error -1 reading relation 129362827
Mon Feb  5 17:39:00 2024  error -5 reading relation 135490345
Mon Feb  5 17:39:01 2024  error -15 reading relation 135533932
Mon Feb  5 17:39:02 2024  error -1 reading relation 135882752
Mon Feb  5 17:39:19 2024  error -1 reading relation 141243052
Mon Feb  5 17:40:21 2024  error -1 reading relation 166170309
Mon Feb  5 17:40:27 2024  error -1 reading relation 169721104
Mon Feb  5 17:40:30 2024  error -1 reading relation 170989126
Mon Feb  5 17:40:56 2024  error -15 reading relation 186130757
Mon Feb  5 17:41:08 2024  error -1 reading relation 190104379
Mon Feb  5 17:41:24 2024  error -1 reading relation 195352423
Mon Feb  5 17:41:29 2024  error -1 reading relation 196971436
Mon Feb  5 17:41:38 2024  error -1 reading relation 199783901
Mon Feb  5 17:41:41 2024  error -1 reading relation 200701945
Mon Feb  5 17:42:01 2024  error -1 reading relation 207251898
Mon Feb  5 17:42:01 2024  error -1 reading relation 207328258
Mon Feb  5 17:42:18 2024  error -1 reading relation 212413374
Mon Feb  5 17:42:30 2024  error -1 reading relation 216489121
Mon Feb  5 17:42:34 2024  error -1 reading relation 217513391
Mon Feb  5 17:42:47 2024  error -1 reading relation 221768789
Mon Feb  5 17:43:20 2024  error -1 reading relation 232952534
Mon Feb  5 17:43:22 2024  skipped 651 relations with b > 2^32
Mon Feb  5 17:43:22 2024  skipped 1 relations with composite factors
Mon Feb  5 17:43:22 2024  skipped 361 malformed relations
Mon Feb  5 17:43:22 2024  found 51972342 hash collisions in 233443897 relations
Mon Feb  5 17:43:40 2024  added 1218879 free relations
Mon Feb  5 17:43:40 2024  commencing duplicate removal, pass 2
Mon Feb  5 17:49:57 2024  found 55663398 duplicates and 178999378 unique relations
Mon Feb  5 17:49:57 2024  memory use: 1449.5 MB
Mon Feb  5 17:49:57 2024  reading ideals above 720000
Mon Feb  5 17:49:57 2024  commencing singleton removal, initial pass
Mon Feb  5 18:10:42 2024  memory use: 5512.0 MB
Mon Feb  5 18:10:42 2024  reading all ideals from disk
Mon Feb  5 18:10:46 2024  memory use: 8835.8 MB
Mon Feb  5 18:11:07 2024  keeping 177215790 ideals with weight <= 200, target excess is 947597
Mon Feb  5 18:11:32 2024  commencing in-memory singleton removal
Mon Feb  5 18:11:34 2024  begin with 178999378 relations and 177215790 unique ideals
Mon Feb  5 18:11:46 2024  reduce to 108316171 relations and 98770597 ideals in 17 passes
Mon Feb  5 18:11:46 2024  max relations containing the same ideal: 150
Mon Feb  5 18:12:58 2024  removing 7969588 relations and 6969588 ideals in 1000000 cliques
Mon Feb  5 18:13:04 2024  commencing in-memory singleton removal
Mon Feb  5 18:13:07 2024  begin with 100346583 relations and 98770597 unique ideals
Mon Feb  5 18:13:21 2024  reduce to 99844931 relations and 91292719 ideals in 10 passes
Mon Feb  5 18:13:21 2024  max relations containing the same ideal: 144
Mon Feb  5 18:14:28 2024  removing 5975967 relations and 4975967 ideals in 1000000 cliques
Mon Feb  5 18:14:33 2024  commencing in-memory singleton removal
Mon Feb  5 18:14:37 2024  begin with 93868964 relations and 91292719 unique ideals
Mon Feb  5 18:14:48 2024  reduce to 93558227 relations and 86002580 ideals in 9 passes
Mon Feb  5 18:14:48 2024  max relations containing the same ideal: 138
Mon Feb  5 18:15:50 2024  removing 5350082 relations and 4350082 ideals in 1000000 cliques
Mon Feb  5 18:15:55 2024  commencing in-memory singleton removal
Mon Feb  5 18:15:58 2024  begin with 88208145 relations and 86002580 unique ideals
Mon Feb  5 18:16:08 2024  reduce to 87942675 relations and 81384109 ideals in 8 passes
Mon Feb  5 18:16:08 2024  max relations containing the same ideal: 132
Mon Feb  5 18:17:03 2024  removing 5020957 relations and 4020957 ideals in 1000000 cliques
Mon Feb  5 18:17:07 2024  commencing in-memory singleton removal
Mon Feb  5 18:17:09 2024  begin with 82921718 relations and 81384109 unique ideals
Mon Feb  5 18:17:18 2024  reduce to 82675760 relations and 77114432 ideals in 7 passes
Mon Feb  5 18:17:18 2024  max relations containing the same ideal: 123
Mon Feb  5 18:18:08 2024  removing 4809834 relations and 3809834 ideals in 1000000 cliques
Mon Feb  5 18:18:11 2024  commencing in-memory singleton removal
Mon Feb  5 18:18:14 2024  begin with 77865926 relations and 77114432 unique ideals
Mon Feb  5 18:18:23 2024  reduce to 77627383 relations and 73063412 ideals in 8 passes
Mon Feb  5 18:18:23 2024  max relations containing the same ideal: 120
Mon Feb  5 18:19:14 2024  removing 4663996 relations and 3663996 ideals in 1000000 cliques
Mon Feb  5 18:19:18 2024  commencing in-memory singleton removal
Mon Feb  5 18:19:20 2024  begin with 72963387 relations and 73063412 unique ideals
Mon Feb  5 18:19:29 2024  reduce to 72728038 relations and 69161295 ideals in 9 passes
Mon Feb  5 18:19:29 2024  max relations containing the same ideal: 115
Mon Feb  5 18:20:13 2024  removing 4559476 relations and 3559476 ideals in 1000000 cliques
Mon Feb  5 18:20:16 2024  commencing in-memory singleton removal
Mon Feb  5 18:20:18 2024  begin with 68168562 relations and 69161295 unique ideals
Mon Feb  5 18:20:22 2024  reduce to 67931708 relations and 65362089 ideals in 8 passes
Mon Feb  5 18:20:22 2024  max relations containing the same ideal: 110
Mon Feb  5 18:20:52 2024  removing 4492115 relations and 3492115 ideals in 1000000 cliques
Mon Feb  5 18:20:56 2024  commencing in-memory singleton removal
Mon Feb  5 18:20:58 2024  begin with 63439593 relations and 65362089 unique ideals
Mon Feb  5 18:21:05 2024  reduce to 63197934 relations and 61625131 ideals in 8 passes
Mon Feb  5 18:21:05 2024  max relations containing the same ideal: 106
Mon Feb  5 18:21:49 2024  removing 2416542 relations and 1942952 ideals in 473590 cliques
Mon Feb  5 18:21:52 2024  commencing in-memory singleton removal
Mon Feb  5 18:21:54 2024  begin with 60781392 relations and 61625131 unique ideals
Mon Feb  5 18:22:00 2024  reduce to 60710836 relations and 59611160 ideals in 6 passes
Mon Feb  5 18:22:00 2024  max relations containing the same ideal: 103
Mon Feb  5 18:22:56 2024  relations with 0 large ideals: 35153
Mon Feb  5 18:22:56 2024  relations with 1 large ideals: 11627
Mon Feb  5 18:22:56 2024  relations with 2 large ideals: 126771
Mon Feb  5 18:22:56 2024  relations with 3 large ideals: 932780
Mon Feb  5 18:22:56 2024  relations with 4 large ideals: 3814517
Mon Feb  5 18:22:56 2024  relations with 5 large ideals: 9499024
Mon Feb  5 18:22:56 2024  relations with 6 large ideals: 15021828
Mon Feb  5 18:22:56 2024  relations with 7+ large ideals: 31269136
Mon Feb  5 18:22:56 2024  commencing 2-way merge
Mon Feb  5 18:23:58 2024  reduce to 39675878 relation sets and 38576202 unique ideals
Mon Feb  5 18:23:58 2024  commencing full merge
Mon Feb  5 18:50:19 2024  memory use: 5146.9 MB
Mon Feb  5 18:50:26 2024  found 17857263 cycles, need 17844402
Mon Feb  5 18:50:33 2024  weight of 17844402 cycles is about 2141416532 (120.00/cycle)
Mon Feb  5 18:50:33 2024  distribution of cycle lengths:
Mon Feb  5 18:50:33 2024  1 relations: 1077691
Mon Feb  5 18:50:33 2024  2 relations: 1344339
Mon Feb  5 18:50:33 2024  3 relations: 1446389
Mon Feb  5 18:50:33 2024  4 relations: 1406839
Mon Feb  5 18:50:33 2024  5 relations: 1348423
Mon Feb  5 18:50:33 2024  6 relations: 1263939
Mon Feb  5 18:50:33 2024  7 relations: 1180417
Mon Feb  5 18:50:33 2024  8 relations: 1093725
Mon Feb  5 18:50:33 2024  9 relations: 1010148
Mon Feb  5 18:50:33 2024  10+ relations: 6672492
Mon Feb  5 18:50:33 2024  heaviest cycle: 28 relations
Mon Feb  5 18:50:41 2024  commencing cycle optimization
Mon Feb  5 18:51:46 2024  start with 152729865 relations
Mon Feb  5 19:00:52 2024  pruned 6473059 relations
Mon Feb  5 19:00:53 2024  memory use: 4084.5 MB
Mon Feb  5 19:00:53 2024  distribution of cycle lengths:
Mon Feb  5 19:00:53 2024  1 relations: 1077691
Mon Feb  5 19:00:53 2024  2 relations: 1377847
Mon Feb  5 19:00:53 2024  3 relations: 1510107
Mon Feb  5 19:00:53 2024  4 relations: 1461829
Mon Feb  5 19:00:53 2024  5 relations: 1409202
Mon Feb  5 19:00:53 2024  6 relations: 1312576
Mon Feb  5 19:00:53 2024  7 relations: 1227613
Mon Feb  5 19:00:53 2024  8 relations: 1129563
Mon Feb  5 19:00:53 2024  9 relations: 1042232
Mon Feb  5 19:00:53 2024  10+ relations: 6295742
Mon Feb  5 19:00:53 2024  heaviest cycle: 28 relations
Mon Feb  5 19:01:42 2024  RelProcTime: 5376
Mon Feb  5 19:01:42 2024  elapsed time 01:29:38
Mon Feb  5 19:04:46 2024  
Mon Feb  5 19:04:46 2024  
Mon Feb  5 19:04:46 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Feb  5 19:04:46 2024  random seeds: 7d0e55ba 6dd33547
Mon Feb  5 19:04:46 2024  Using 32 OpenMP threads
Mon Feb  5 19:04:46 2024  factoring 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (262 digits)
Mon Feb  5 19:04:47 2024  searching for 15-digit factors
Mon Feb  5 19:04:48 2024  commencing number field sieve (262-digit input)
Mon Feb  5 19:04:48 2024  R0: -50000000000000000000000000000000000000000000
Mon Feb  5 19:04:48 2024  R1: 1
Mon Feb  5 19:04:48 2024  A0: -25
Mon Feb  5 19:04:48 2024  A1: 0
Mon Feb  5 19:04:48 2024  A2: 0
Mon Feb  5 19:04:48 2024  A3: 0
Mon Feb  5 19:04:48 2024  A4: 0
Mon Feb  5 19:04:48 2024  A5: 0
Mon Feb  5 19:04:48 2024  A6: 8
Mon Feb  5 19:04:48 2024  skew 1.00, size 4.428e-13, alpha 1.566, combined = 6.311e-14 rroots = 2
Mon Feb  5 19:04:48 2024  
Mon Feb  5 19:04:48 2024  commencing linear algebra
Mon Feb  5 19:04:48 2024  using VBITS=256
Mon Feb  5 19:04:51 2024  read 17844402 cycles
Mon Feb  5 19:05:54 2024  cycles contain 60055294 unique relations
Mon Feb  5 19:11:42 2024  read 60055294 relations
Mon Feb  5 19:11:52 2024  using 20 quadratic characters above 4294917295
Mon Feb  5 19:12:03 2024  building initial matrix
Mon Feb  5 19:31:48 2024  memory use: 7756.9 MB
Mon Feb  5 19:32:02 2024  read 17844402 cycles
Mon Feb  5 19:32:06 2024  matrix is 17844225 x 17844402 (8334.3 MB) with weight 2371506697 (132.90/col)
Mon Feb  5 19:32:06 2024  sparse part has weight 2006343683 (112.44/col)
Mon Feb  5 19:38:14 2024  filtering completed in 2 passes
Mon Feb  5 19:38:18 2024  matrix is 17844003 x 17844171 (8334.3 MB) with weight 2371499547 (132.90/col)
Mon Feb  5 19:38:18 2024  sparse part has weight 2006341303 (112.44/col)
Mon Feb  5 19:40:31 2024  matrix starts at (0, 0)
Mon Feb  5 19:40:36 2024  matrix is 17844003 x 17844171 (8334.3 MB) with weight 2371499547 (132.90/col)
Mon Feb  5 19:40:36 2024  sparse part has weight 2006341303 (112.44/col)
Mon Feb  5 19:40:36 2024  saving the first 240 matrix rows for later
Mon Feb  5 19:40:42 2024  matrix includes 256 packed rows
Mon Feb  5 19:40:55 2024  matrix is 17843763 x 17844171 (7724.0 MB) with weight 1830680041 (102.59/col)
Mon Feb  5 19:40:55 2024  sparse part has weight 1739295572 (97.47/col)
Mon Feb  5 19:40:55 2024  using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
Mon Feb  5 19:42:03 2024  commencing Lanczos iteration (32 threads)
Mon Feb  5 19:42:03 2024  memory use: 10652.6 MB
Mon Feb  5 19:42:45 2024  lanczos halted after 3 iterations (dim = 764)
Mon Feb  5 19:42:48 2024  BLanczosTime: 2280
Mon Feb  5 19:42:48 2024  elapsed time 00:38:02
Mon Feb  5 23:37:31 2024  
Mon Feb  5 23:37:31 2024  
Mon Feb  5 23:37:31 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Feb  5 23:37:31 2024  random seeds: a2591f6b 679c2fc6
Mon Feb  5 23:37:31 2024  Using 64 OpenMP threads
Mon Feb  5 23:37:31 2024  factoring 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (262 digits)
Mon Feb  5 23:37:32 2024  searching for 15-digit factors
Mon Feb  5 23:37:32 2024  commencing number field sieve (262-digit input)
Mon Feb  5 23:37:32 2024  R0: -50000000000000000000000000000000000000000000
Mon Feb  5 23:37:32 2024  R1: 1
Mon Feb  5 23:37:32 2024  A0: -25
Mon Feb  5 23:37:32 2024  A1: 0
Mon Feb  5 23:37:32 2024  A2: 0
Mon Feb  5 23:37:32 2024  A3: 0
Mon Feb  5 23:37:32 2024  A4: 0
Mon Feb  5 23:37:32 2024  A5: 0
Mon Feb  5 23:37:32 2024  A6: 8
Mon Feb  5 23:37:32 2024  skew 1.00, size 4.428e-13, alpha 1.566, combined = 6.311e-14 rroots = 2
Mon Feb  5 23:37:32 2024  
Mon Feb  5 23:37:32 2024  commencing linear algebra
Mon Feb  5 23:37:32 2024  using VBITS=256
Mon Feb  5 23:37:32 2024  skipping matrix build
Mon Feb  5 23:37:37 2024  matrix starts at (0, 0)
Mon Feb  5 23:37:39 2024  matrix is 17844003 x 17844171 (8334.3 MB) with weight 2371499547 (132.90/col)
Mon Feb  5 23:37:39 2024  sparse part has weight 2006341303 (112.44/col)
Mon Feb  5 23:37:39 2024  saving the first 240 matrix rows for later
Mon Feb  5 23:37:43 2024  matrix includes 256 packed rows
Mon Feb  5 23:37:49 2024  matrix is 17843763 x 17844171 (7724.0 MB) with weight 1830680041 (102.59/col)
Mon Feb  5 23:37:49 2024  sparse part has weight 1739295572 (97.47/col)
Mon Feb  5 23:37:49 2024  using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
Mon Feb  5 23:38:27 2024  commencing Lanczos iteration (64 threads)
Mon Feb  5 23:38:27 2024  memory use: 10655.5 MB
Mon Feb  5 23:41:06 2024  linear algebra at 0.2%, ETA 25h11m
Mon Feb  5 23:45:02 2024  checking every 10000 dimensions, checkpointing every 710000 dimensions
Wed Feb  7 00:43:22 2024  lanczos halted after 69912 iterations (dim = 17843763)
Wed Feb  7 00:44:25 2024  recovered 37 nontrivial dependencies
Wed Feb  7 00:44:28 2024  BLanczosTime: 90416
Wed Feb  7 00:44:28 2024  elapsed time 25:06:57
Wed Feb  7 00:45:39 2024  
Wed Feb  7 00:45:39 2024  
Wed Feb  7 00:45:39 2024  Msieve v. 1.54 (SVN Unversioned directory)
Wed Feb  7 00:45:39 2024  random seeds: eab78ec3 1a999914
Wed Feb  7 00:45:39 2024  Using 8 OpenMP threads
Wed Feb  7 00:45:39 2024  factoring 4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (262 digits)
Wed Feb  7 00:45:40 2024  searching for 15-digit factors
Wed Feb  7 00:45:41 2024  commencing number field sieve (262-digit input)
Wed Feb  7 00:45:41 2024  R0: -50000000000000000000000000000000000000000000
Wed Feb  7 00:45:41 2024  R1: 1
Wed Feb  7 00:45:41 2024  A0: -25
Wed Feb  7 00:45:41 2024  A1: 0
Wed Feb  7 00:45:41 2024  A2: 0
Wed Feb  7 00:45:41 2024  A3: 0
Wed Feb  7 00:45:41 2024  A4: 0
Wed Feb  7 00:45:41 2024  A5: 0
Wed Feb  7 00:45:41 2024  A6: 8
Wed Feb  7 00:45:41 2024  skew 1.00, size 4.428e-13, alpha 1.566, combined = 6.311e-14 rroots = 2
Wed Feb  7 00:45:41 2024  
Wed Feb  7 00:45:41 2024  commencing square root phase
Wed Feb  7 00:45:41 2024  reading relations for dependency 1
Wed Feb  7 00:45:44 2024  read 8922716 cycles
Wed Feb  7 00:46:08 2024  cycles contain 30030600 unique relations
Wed Feb  7 00:51:26 2024  read 30030600 relations
Wed Feb  7 00:54:42 2024  multiplying 30030600 relations
Wed Feb  7 00:59:51 2024  multiply complete, coefficients have about 881.22 million bits
Wed Feb  7 00:59:53 2024  initial square root is modulo 80517211
Wed Feb  7 01:10:49 2024  sqrtTime: 1508
Wed Feb  7 01:10:49 2024  p120 factor: 113698069763224668441418917753548078179029210350369741917532633596794622588331183893056759545165527874097256881474110329
Wed Feb  7 01:10:49 2024  p143 factor: 43976120354659146612026798097328326960551803227692600806060100248339479031211430178642452342456158830386446137151012230371188980878145277266231
Wed Feb  7 01:10:49 2024  elapsed time 00:25:10

7783026354668267589423532334640658988676235650533259661294944164714438999784673089943774495553014289290725619719548912792558230131984794793237490210079595293702150589420362259382767217194507106582682921520557179887272474099<223>

71574751298739459826382893837067971700745341219<47>

108739830924223393211788186268277239621051852781255845042932280921591587191862526037301320033047029637125669783181193970697772598068845854262466127146108982795507529635373921521<177>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 7783026354668267589423532334640658988676235650533259661294944164714438999784673089943774495553014289290725619719548912792558230131984794793237490210079595293702150589420362259382767217194507106582682921520557179887272474099 (223 digits)
[Mon Jan 23 01:18:36 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1672675337
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35    40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 499062ms
Using 27 small primes for NTT
Estimated memory usage: 784M
Initializing tables of differences for F took 297ms
Computing roots of F took 15381ms
Building F from its roots took 12292ms
Computing 1/F took 4914ms
Initializing table of differences for G took 249ms
Computing roots of G took 13089ms
Building G from its roots took 11996ms
Computing roots of G took 13338ms
Building G from its roots took 11841ms
Computing G * H took 2761ms
Reducing  G * H mod F took 2980ms
Computing roots of G took 13665ms
Building G from its roots took 11716ms
Computing G * H took 2808ms
Reducing  G * H mod F took 2886ms
Computing roots of G took 13260ms
Building G from its roots took 11763ms
Computing G * H took 2620ms
Reducing  G * H mod F took 2777ms
Computing polyeval(F,G) took 25007ms
Computing product of all F(g_i) took 93ms
Step 2 took 176281ms
********** Factor found in step 2: 71574751298739459826382893837067971700745341219
Found probable prime factor of 47 digits: 71574751298739459826382893837067971700745341219
Composite cofactor 108739830924223393211788186268277239621051852781255845042932280921591587191862526037301320033047029637125669783181193970697772598068845854262466127146108982795507529635373921521 has 177 digits

GMP-ECM

108739830924223393211788186268277239621051852781255845042932280921591587191862526037301320033047029637125669783181193970697772598068845854262466127146108982795507529635373921521<177>

96047343930453556960582240885311715778109782279501<50>
1132148235176188484312968821564706450614614389182354920791227378154757269713912545811549780696328878080522672041019997412052021<127>

Using B1=260000000, B2=7946151513316, polynomial Dickson(30), sigma=1213924942
Step 1 took 1767677ms
Step 2 took 918470ms
********** Factor found in step 2: 96047343930453556960582240885311715778109782279501
Found probable prime factor of 50 digits: 96047343930453556960582240885311715778109782279501
Probable prime cofactor 1132148235176188484312968821564706450614614389182354920791227378154757269713912545811549780696328878080522672041019997412052021 has 127 digits

30766043568619153048368144200820294786909968358521366336876015694022758115427489458653939179094245274156973720693384687816581433348404945738512284945744853540775588608564924001295415316284017121532665747901410699565273558682319721544258859<239>

42055974349658795815118333165599264049<38>
731549893787415269659021683715554821546414013514632748597895148643048786057012063701382541053119583906922523242736160772867039965193039229900936054692314510169570118435036921197085612238977098165649691<201>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1625519868
Step 1 took 177648ms
Step 2 took 63294ms
********** Factor found in step 2: 42055974349658795815118333165599264049
Found probable prime factor of 38 digits: 42055974349658795815118333165599264049
Probable prime cofactor 731549893787415269659021683715554821546414013514632748597895148643048786057012063701382541053119583906922523242736160772867039965193039229900936054692314510169570118435036921197085612238977098165649691 has 201 digits

82201910795360890602803490821676836716070883395695122508736464383381950825023397043095051746857475401181322050140734804422156551995985348034631919522832876610553583165029494549410034948692527798678875764119497551<212>