1963831275462452822406554758027579088037424842207712151524530842984031838701671871889391434702831423223655541<109>

7065124088329189240070431909097<31>
277961328196129899878511919824231748542800398786194020778701832036417335182253<78>

Number: 77277_79
N=1963831275462452822406554758027579088037424842207712151524530842984031838701671871889391434702831423223655541
  ( 109 digits)
Divisors found:
 r1=7065124088329189240070431909097 (pp31)
 r2=277961328196129899878511919824231748542800398786194020778701832036417335182253 (pp78)
Version: Msieve-1.40
Total time: 13.52 hours.
Scaled time: 41.69 units (timescale=3.083).
Factorization parameters were as follows:
name: 77277_79
n: 1963831275462452822406554758027579088037424842207712151524530842984031838701671871889391434702831423223655541
skew: 14658.06
# norm 1.38e+15
c5: 48600
c4: 732422565
c3: -33116577345708
c2: 808513685867581322
c1: 4271636282653906555396
c0: 271232376357678770654400
# alpha -6.16
Y1: 207374799739
Y0: -526372346239092078041
# Murphy_E 1.22e-09
# M 219340472681164212281347762494713145867376859845953736611140649942108337543086432706334007154007521557330842
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 394939 x 395187
Polynomial selection time: 1.37 hours.
Total sieving time: 11.68 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 13.52 hours.
 --------- CPU info (if available) ----------

2114173468867142072101981123174697820479926122936365921058200092222569827828992246883015553840499677461143019526948712612725004825199135846477<142>

6400911071689472019312365284554419<34>
330292585725475793922014138583445682480306410715130775376142627626554603988742929686112322268084637063216383<108>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3931671428
Step 1 took 3240ms
Step 2 took 2540ms
********** Factor found in step 2: 6400911071689472019312365284554419
Found probable prime factor of 34 digits: 6400911071689472019312365284554419
Probable prime cofactor ((7*10^161-45*10^80-7)/9/3/131/93610025104356557)/6400911071689472019312365284554419 has 108 digits

3072727137149762667101364916349204004681660712296572203321129551192594545114127240918890310133102807803608399<109>

359256288616720680205232842899565403339<39>
8553022548278784151207895328684428532924262374268695358274387057718541<70>

N=3072727137149762667101364916349204004681660712296572203321129551192594545114127240918890310133102807803608399
  ( 109 digits)
Divisors found:
 r1=359256288616720680205232842899565403339 (pp39)
 r2=8553022548278784151207895328684428532924262374268695358274387057718541 (pp70)
Version: Msieve-1.40
Total time: 11.18 hours.
Scaled time: 21.75 units (timescale=1.946).
Factorization parameters were as follows:
name: 109y
n: 3072727137149762667101364916349204004681660712296572203321129551192594545114127240918890310133102807803608399
skew: 20455.55
# norm 4.50e+014
c5: 26880
c4: -72306536
c3: 43969047183
c2: 105425238565465786
c1: -5532436008460541058896
c0: -28282744288705401969224520
# alpha -5.71
Y1: 547589260259
Y0: -648065860362086701687
# Murphy_E 1.18e-009
# M 98382798032397757265543905869160121064439587410366428119527699822024417404309886083502501944017867691989133
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 410533 x 410759
Polynomial selection time: 1.24 hours.
Total sieving time: 9.23 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 11.18 hours.
 --------- CPU info (if available) ----------

42971147943523634131368937998772252915899324739103744628606507059545733578882750153440761203192142418661755678330263965623081645181092694904849600982197667280540208717<167>

31618050319635880356519445018321183<35>
1359070135859613568503651173697417354067769379400071702079221046187120691474249866199651260072106650852752932528425425967929212225299<133>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2255266676
Step 1 took 8261ms
Step 2 took 5384ms
********** Factor found in step 2: 31618050319635880356519445018321183
Found probable prime factor of 35 digits: 31618050319635880356519445018321183
Probable prime cofactor 1359070135859613568503651173697417354067769379400071702079221046187120691474249866199651260072106650852752932528425425967929212225299 has 133 digits

14498439322240359624305984099099156810882637509253037249711017239656658703446879022930094260242153046659172732021675927075396560569388456398193878166889193<155>

6980472778199999468860319916861399782384261<43>
2076999622077024995894553705931102618667320312737558282943408093570687865997554706987137651309618937823468385813<112>

Number: 77277_85
N=14498439322240359624305984099099156810882637509253037249711017239656658703446879022930094260242153046659172732021675927075396560569388456398193878166889193
  ( 155 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=6980472778199999468860319916861399782384261 (pp43)
 r2=2076999622077024995894553705931102618667320312737558282943408093570687865997554706987137651309618937823468385813 (pp112)
Version: Msieve-1.40
Total time: 141.70 hours.
Scaled time: 434.61 units (timescale=3.067).
Factorization parameters were as follows:
name: 77277_85
n: 14498439322240359624305984099099156810882637509253037249711017239656658703446879022930094260242153046659172732021675927075396560569388456398193878166889193
m: 10000000000000000000000000000
deg: 6
c6: 7000
c3: -450
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1007474 x 1007721
Total sieving time: 139.34 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.09 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,171.000,6,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 141.70 hours.
 --------- CPU info (if available) ----------

3386200851975611563190512892063114299627775236743616399776583079303478009568641783123050522173659995043771438209244818124481038184499<133>

3512550221698016459309477753850068500253<40>
964029163500094861650975680214604841415587211960637980742970045165388620362086022084998429583<93>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3321699683
Step 1 took 5772ms
Step 2 took 4396ms
********** Factor found in step 2: 3512550221698016459309477753850068500253
Found probable prime factor of 40 digits: 3512550221698016459309477753850068500253
Probable prime cofactor 964029163500094861650975680214604841415587211960637980742970045165388620362086022084998429583 has 93 digits

295205100242584562729003532724104860005591426880466020092791284742094421056444073399973760400047493407685506065572960526697901358445153<135>

72200967614304538014437112079542026617<38>
4088658504129218785270622115884236820484928111389053594823024361921377086787292821212213767136809<97>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4287287253
Step 1 took 5900ms
Step 2 took 4393ms
********** Factor found in step 2: 72200967614304538014437112079542026617
Found probable prime factor of 38 digits: 72200967614304538014437112079542026617
Probable prime cofactor 4088658504129218785270622115884236820484928111389053594823024361921377086787292821212213767136809 has 97 digits

15828021867715050254585430408930713178213278649816334252995378320142363086327425499418138361468072154076101268209111937010615738110924818467264652305249<152>

1257352931266276440669476642060220109323307<43>

12588368368278822051470541457273019716708599438171708864637278754261014382844130502323770592880121669142150307<110>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1041070565
Step 1 took 10377ms
Step 2 took 8737ms
********** Factor found in step 2: 1257352931266276440669476642060220109323307
Found probable prime factor of 43 digits: 1257352931266276440669476642060220109323307
Composite cofactor 12588368368278822051470541457273019716708599438171708864637278754261014382844130502323770592880121669142150307 has 110 digits

12588368368278822051470541457273019716708599438171708864637278754261014382844130502323770592880121669142150307<110>

23871055708344116192248365927559381489423543<44>
527348623457762023634201603315430300165207780466539292760845656949<66>

Number: c110
N = 12588368368278822051470541457273019716708599438171708864637278754261014382844130502323770592880121669142150307 (110 digits)
Divisors found:
r1=23871055708344116192248365927559381489423543 (pp44)
r2=527348623457762023634201603315430300165207780466539292760845656949 (pp66)
Version: Msieve v. 1.48
Total time: 8.78 hours.
Factorization parameters were as follows:
n: 12588368368278822051470541457273019716708599438171708864637278754261014382844130502323770592880121669142150307
Y0: -1062424995046864925751
Y1: 210405441181
c0: -324993291715440353282084864
c1: 48422676387471638331030
c2: 1076745517787773191
c3: -47100412228840
c4: -530164950
c5: 9300
skew: 45319.85  
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 7566428
Relations: 574594 relations
Pruned matrix : 338525 x 338753
Polynomial selection time: 0.31 hours.
Total sieving time: 8.04 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.25 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: gnfs,109,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 8.78 hours.
x86 Family 6 Model 23 Stepping 6, GenuineIntel
Windows-Vista-6.0.6002-SP2
processors: 2, speed: 2.09GHz

factmsieve76.py via Msieve + GGNFS

Core 2 Duo@2.1GHz on WinVista32bit

8553465586356623085071738508146192489038412235526030157582876248486094535550881849319035733614213951677081154333823989248031811930080266768964510505539748238838215743<166>

7769447255543771062666536153705280453200941061777595576339<58>
1100910438674183372898539013778854554094957985119306695382514591320840123988275763958709965623295915588380837<109>

N=8553465586356623085071738508146192489038412235526030157582876248486094535550881849319035733614213951677081154333823989248031811930080266768964510505539748238838215743
  ( 166 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=7769447255543771062666536153705280453200941061777595576339 (pp58)
 r2=1100910438674183372898539013778854554094957985119306695382514591320840123988275763958709965623295915588380837 (pp109)
Version: Msieve-1.40
Total time: 306.06 hours.
Scaled time: 597.11 units (timescale=1.951).
Factorization parameters were as follows:
n: 8553465586356623085071738508146192489038412235526030157582876248486094535550881849319035733614213951677081154333823989248031811930080266768964510505539748238838215743
m: 1000000000000000000000000000000
deg: 6
c6: 7000
c3: -450
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 9250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1496696 x 1496921
Total sieving time: 300.79 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 2.77 hours.
Time per square root: 2.33 hours.
Prototype def-par.txt line would be:
snfs,183.000,6,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 306.06 hours.
 --------- CPU info (if available) ----------

12348428620995222732464654219052911244245938879965110642380453215805258771389047407153667722160799453912876100699016017493027917331<131>

55057351085009133731234092677909469<35>
22432284505466267918466053923353501933778331<44>
9998224368269081183028967661038397195195656849877629<52>

Using B1=20000000, B2=756260419492, polynomial x^1, x0=115756263 [P-1]
Step 1 took 6253ms
Step 2 took 6580ms
********** Factor found in step 2: 55057351085009133731234092677909469
Found probable prime factor of 35 digits: 55057351085009133731234092677909469
Composite cofactor 224283013578497774757197181669242016950313580209248955040766339880360832802358830456578961857199 has 96 digits

Divisors found:
 r1=22432284505466267918466053923353501933778331 (pp44)
 r2=9998224368269081183028967661038397195195656849877629 (pp52)
Version: Msieve v. 1.48 SVN488 LARGE_BLOCKS zlib option -D density
Total time: 1.25 hours.
Scaled time: 3.00 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  224283013578497774757197181669242016950313580209248955040766339880360832802358830456578961857199
skew:  6081584.25
Y0:  -310921274129073872721444
Y1:   2982417419681
c0:  -16981564499014046570516835265
c1:   3714809841285397438240
c2:   2472245942513071
c3:  -95736454
c4:   24
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 1050001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 157808 x 158056
Total sieving time: 1.12 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 1.25 hours.

42967144280383579637380881145232386916318501463234963202659106999641138185113416408595847659287468118248884103512527726196619679552563642969047717<146>

8943364251438837579667053792265567009<37>
4804360313678477925328747804954719458954739484314253785738805176233817724726745583164763849359687600810097413<109>

Using B1=100000000, B2=12720901946406, polynomial x^1, x0=934858698
Step 1 took 65164ms
Step 2 took 41038ms
[factor found by P-1]
********** Factor found in step 2: 8943364251438837579667053792265567009
Found probable prime factor of 37 digits: 8943364251438837579667053792265567009
Probable prime cofactor 4804360313678477925328747804954719458954739484314253785738805176233817724726745583164763849359687600810097413 has 109 digits

2533746211443377443195360683990195115396675846139026039339890526659005478246790262101179844400569338602651726699941581704767923357294351456781<142>

55598125357114167716811631007643098820585611243<47>
45572511576043039238319407683466639720087253680749275359517043757578278648664157741091435374567<95>

GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]
Input number is 2533746211443377443195360683990195115396675846139026039339890526659005478246790262101179844400569338602651726699941581704767923357294351456781 (142 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4652192250
Step 1 took 32713ms
Step 2 took 13241ms
********** Factor found in step 2: 55598125357114167716811631007643098820585611243
Found probable prime factor of 47 digits: 55598125357114167716811631007643098820585611243
Probable prime cofactor 45572511576043039238319407683466639720087253680749275359517043757578278648664157741091435374567 has 95 digits

Core i7 980

2533095161405704539950959504206267137245269711041516615811964137756927540030652016905818773658810671275551385309411469749173927822576537330167430326337606370561154075283730267429020053<184>

57491165420421541430331730397521254867781070089468492745907567919791493<71>
44060598578610813838757970588478397737615939351377798654467683735927523255747305096234565759115104011342971635921<113>

Number: n
N=2533095161405704539950959504206267137245269711041516615811964137756927540030652016905818773658810671275551385309411469749173927822576537330167430326337606370561154075283730267429020053
  ( 184 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sun Jan 29 10:25:45 2012  prp71 factor: 57491165420421541430331730397521254867781070089468492745907567919791493
Sun Jan 29 10:25:45 2012  prp113 factor: 44060598578610813838757970588478397737615939351377798654467683735927523255747305096234565759115104011342971635921
Sun Jan 29 10:25:45 2012  elapsed time 04:02:35 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.640).
Factorization parameters were as follows:
name: KA_77277_96
n: 2533095161405704539950959504206267137245269711041516615811964137756927540030652016905818773658810671275551385309411469749173927822576537330167430326337606370561154075283730267429020053
m: 100000000000000000000000000000000
deg: 6
c6: 70
c3: -45
c0: -7
skew: 0.68
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 25400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8808567 hash collisions in 76000099 relations
Msieve: matrix is 1567066 x 1567299 (441.8 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,193,6,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

24568143714346951136008327561837657981192601643262754636920372515812768015854005645078537002560326978793490821943427840980555890121026922716000846983244817294805135153377218987282093331914136963<194>

151111163743631453068708005014587659706626008615368859838816678175891<69>
162583247363696980178182813436956576836969755815040828127932952145939412881906995400411514071852330370903792378402660356090193<126>

Number: n
N=24568143714346951136008327561837657981192601643262754636920372515812768015854005645078537002560326978793490821943427840980555890121026922716000846983244817294805135153377218987282093331914136963
  ( 194 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Feb  7 20:45:16 2011  prp69 factor: 151111163743631453068708005014587659706626008615368859838816678175891
Mon Feb  7 20:45:16 2011  prp126 factor: 162583247363696980178182813436956576836969755815040828127932952145939412881906995400411514071852330370903792378402660356090193
Mon Feb  7 20:45:16 2011  elapsed time 08:39:19 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.084).
Factorization parameters were as follows:
name: KA_7_100_2_7_100
n: 24568143714346951136008327561837657981192601643262754636920372515812768015854005645078537002560326978793490821943427840980555890121026922716000846983244817294805135153377218987282093331914136963
m: 1000000000000000000000000000000000
#  Diff: 201.85
deg: 6
c6: 7000
c3: -450
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 31900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5740848 hash collisions in 31561841 relations
Msieve: matrix is 2280170 x 2280391 (646.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,14000000,14000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5659.83 BogoMIPS (lpj=2829919)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22642.56 BogoMIPS).

209643157153514855926403422963070122286323414283548287705892266797184430164219543954852599372217505004193789908006402286827563557791460693670866984905826629039693732525538159364748584213343<189>

8293355886041173993666269566992232164836289810961298854930509<61>
25278446992293228269891903032285583051504066486335855375482111057021600961988274888361252000833307415677314925828085295664654427<128>

Number: n
N=209643157153514855926403422963070122286323414283548287705892266797184430164219543954852599372217505004193789908006402286827563557791460693670866984905826629039693732525538159364748584213343  ( 189 digits)
SNFS difficulty: 204 digits.
Divisors found:

Wed Feb  9 15:07:01 2022  p61 factor: 8293355886041173993666269566992232164836289810961298854930509
Wed Feb  9 15:07:01 2022  p128 factor: 25278446992293228269891903032285583051504066486335855375482111057021600961988274888361252000833307415677314925828085295664654427
Wed Feb  9 15:07:01 2022  elapsed time 01:54:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 7x10^203-45x10^101-7 = 7(101)27(101)
#
n: 209643157153514855926403422963070122286323414283548287705892266797184430164219543954852599372217505004193789908006402286827563557791460693670866984905826629039693732525538159364748584213343
m: 10000000000000000000000000000000000
deg: 6
c6: 7
c3: -45
c0: -70
skew: 1.47
# Murphy_E = 9.475e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 50700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5260461 hash collisions in 35390407 relations (30840092 unique)
Msieve: matrix is 2219430 x 2219656 (769.2 MB)

Sieving start time : 2022/02/08 19:32:27
Sieving end time  : 2022/02/09 13:11:31

Total sieving time: 17hrs 39min 4secs.

Total relation processing time: 1hrs 42min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 6sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,18200000,18200000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

5040154318094406189857618850463640304232369786622288300669181110503679590760069781683791974381608886580656659295020120677364225246815625200810093624797203797002068385954724404228007314361508981<193>

230153050275823830031696477071754067396255339033634066341198475453491<69>
21899141949472757293228357401704695115060637283086225902990784668803917622414990530529746623143953698819099204052643245534391<125>

Number: 77277_104
N = 5040154318094406189857618850463640304232369786622288300669181110503679590760069781683791974381608886580656659295020120677364225246815625200810093624797203797002068385954724404228007314361508981 (193 digits)
SNFS difficulty: 211 digits.
Divisors found:
r1=230153050275823830031696477071754067396255339033634066341198475453491 (pp69)
r2=21899141949472757293228357401704695115060637283086225902990784668803917622414990530529746623143953698819099204052643245534391 (pp125)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 136.52 hours.
Factorization parameters were as follows:
n: 5040154318094406189857618850463640304232369786622288300669181110503679590760069781683791974381608886580656659295020120677364225246815625200810093624797203797002068385954724404228007314361508981
m: 100000000000000000000000000000000000
deg: 6
c6: 7
c3: -45
c0: -70
skew: 1.47
# Murphy_E = 5.993e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 42872681
Relations: 7151410 relations
Pruned matrix : 4318582 x 4318807
Total sieving time: 126.24 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 9.91 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,211,6,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 136.52 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

62079450801154436154241776411333848107549649354240985837140984124807241855542577001355023948746666851840849067059171874725903281464995877090627375574322906073048264763270976964731803<182>

4554240393685531777171884187680134008067822618737336098383701040867097504816090107976578881615795609252633833128166685127829040859718081487878289096836142643<157>

1501099345290828992073831439091190180599868631146217635523203456468204537220193278243797709808165133163871627358846126694440098962996238820753686300296732031599<160>

4882267210084362640849328087299<31>

307459481568377921341703409905472825242621319823854961721163448106592789015943987385345419546062316617476453010238279600611665701<129>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4226192219
Step 1 took 3864ms
Step 2 took 3448ms
********** Factor found in step 2: 4882267210084362640849328087299
Found probable prime factor of 31 digits: 4882267210084362640849328087299
Composite cofactor 307459481568... has 129 digits

307459481568377921341703409905472825242621319823854961721163448106592789015943987385345419546062316617476453010238279600611665701<129>

57496772074950936423443451104917074231013659242684381<53>
5347421611209472144463948672604049060476203115130379307994665045710036767721<76>

N = 307459481568377921341703409905472825242621319823854961721163448106592789015943987385345419546062316617476453010238279600611665701 (129 digits)
Divisors found:
r1=57496772074950936423443451104917074231013659242684381 (pp53)
r2=5347421611209472144463948672604049060476203115130379307994665045710036767721 (pp76)
Version: Msieve v. 1.48
Total time: 38.49 hours.
Factorization parameters were as follows:
n: 307459481568377921341703409905472825242621319823854961721163448106592789015943987385345419546062316617476453010238279600611665701
Y0: -9194045011412994275687940
Y1: 75685090107623
c0: -1202312977774563508820619891073
c1: -78846664158025450491815249
c2: -934418896731841587979
c3: -5551053834478239
c4: 11663148804
c5: 4680
skew: 328691.89 
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19773789
Relations: 2342720 relations
Pruned matrix : 1331113 x 1331338
Polynomial selection time: 0.00 hours.
Total sieving time: 36.03 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.23 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 38.49 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

14364019884462234436766506914846084049759069599444412469865917207788710312774995978113628555385872456319440145833586515483760574249748733211708045975978603744895854638267728355414802060031425647484883<200>

145240031300545783814953602819544065836881003244467051898888113629107280704341663978522622551139<96>
98898490697366417059017425813584478859273902738842391875377795555765314943637534169821666830274244319697<104>

Number: 77277_109
N = 14364019884462234436766506914846084049759069599444412469865917207788710312774995978113628555385872456319440145833586515483760574249748733211708045975978603744895854638267728355414802060031425647484883 (200 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=145240031300545783814953602819544065836881003244467051898888113629107280704341663978522622551139 (pp96)
r2=98898490697366417059017425813584478859273902738842391875377795555765314943637534169821666830274244319697 (pp104)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 36.22 hours.
Factorization parameters were as follows:
n: 14364019884462234436766506914846084049759069599444412469865917207788710312774995978113628555385872456319440145833586515483760574249748733211708045975978603744895854638267728355414802060031425647484883
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c2: -45
c0: -70
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 29021797
Relations: 9331154 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.57 hours.
Total relation processing time: 0.23 hours.
Pruned matrix : 7812896 x 7813121
Matrix solve time: 24.12 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,29,58,58,2.8,2.8,100000
total time: 36.22 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1061251946221583216008718761620213959766823277146680731411287191018662719914749126562009127655183978144929830356073352648371493233214743622883294063905485930055388890408380101632567076517631763747591287460379934303<214>

32509846810782117306849693933343400324661783774550389986474096207075425972491763215214011171163429975273372294501726569262799424797117579545443620299551057937160309163831267807669324363150429550629187<200>

121547489614908980531274700026144404942094229<45>
267466213525108203770175553406225018259624243041740817981146499785134652450673816042478742511029343692287187028165284473630859484977138228850701795434608503<156>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Tue Nov 21 10:28:18 2023
Input number is 32509846810782117306849693933343400324661783774550389986474096207075425972491763215214011171163429975273372294501726569262799424797117579545443620299551057937160309163831267807669324363150429550629187 (200 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9600MB of memory
Using B1=4000000000-4000000000, B2=8344907294582686, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20    25      30      35      40      45      50      55      60      65
0.81    0.53    0.28    0.12    0.045   0.015   0.0045  0.0012  0.00031 7.3e-05
Step 1 took 0ms
Computing F from factored S_1 took 171368ms
Computing h took 20188ms
Computing DCT-I of h took 52257ms
Multi-point evaluation 1 of 5:
Computing g_i took 64332ms
Computing g*h took 108803ms
Computing gcd of coefficients and N took 23626ms
Step 2 took 442063ms
********** Factor found in step 2: 121547489614908980531274700026144404942094229
Found prime factor of 45 digits: 121547489614908980531274700026144404942094229
Prime cofactor 267466213525108203770175553406225018259624243041740817981146499785134652450673816042478742511029343692287187028165284473630859484977138228850701795434608503 has 156 digits

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

158332259756762245079911777291538446445090737567356234376991812678402384624481505065614734838129167510426514977459722690689704529481118248690719148576770598870068441725547152893674898244191827225803682682493862170632683<219>

260928002981691665584602434139001259<36>

606804397946784665048984776946982414181451638095907294398037333106594594123011638495593152254461756276357706044392590390382916654188075002311386088108762257056407994787974274551967937<183>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2186008971
Step 1 took 116436ms
Step 2 took 34484ms
********** Factor found in step 2: 260928002981691665584602434139001259
Found probable prime factor of 36 digits: 260928002981691665584602434139001259

355583189449135602665248397716749542948607561628916431346791649077998188557637749117772708177448202958756921807764613834116378314098822664059733912019575362555159842263297160363446657695810772849902747997685661412671054563224469<228>

22195049651495413678842889351904381043984698067313003<53>
42328742507807286338855189895085333770603859485230116175840931356368914840098287<80>
378485924720371844393677582117913088243142316867599758861853849725286173743813949175748004204529<96>

Number: n
N=355583189449135602665248397716749542948607561628916431346791649077998188557637749117772708177448202958756921807764613834116378314098822664059733912019575362555159842263297160363446657695810772849902747997685661412671054563224469  ( 228 digits)
SNFS difficulty: 234 digits.
Divisors found:

Thu Dec  3 21:48:05 2020  found factor: 378485924720371844393677582117913088243142316867599758861853849725286173743813949175748004204529
Thu Dec  3 22:01:39 2020  p53 factor: 22195049651495413678842889351904381043984698067313003
Thu Dec  3 22:01:39 2020  p80 factor: 42328742507807286338855189895085333770603859485230116175840931356368914840098287
Thu Dec  3 22:01:39 2020  p96 factor: 378485924720371844393677582117913088243142316867599758861853849725286173743813949175748004204529
Thu Dec  3 22:01:39 2020  elapsed time 00:27:07 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 7x10^233-45x10^116-7 = 7(116)27(116)
#
n: 355583189449135602665248397716749542948607561628916431346791649077998188557637749117772708177448202958756921807764613834116378314098822664059733912019575362555159842263297160363446657695810772849902747997685661412671054563224469
m: 1000000000000000000000000000000000000000
deg: 6
c6: 7
c3: -45
c0: -70
skew: 1.47
# Murphy_E = 9.177e-13
type: snfs
lss: 1
rlim: 57000000
alim: 57000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 57000000/57000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 163700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 26411258 hash collisions in 137027493 relations (112549713 unique)
Msieve: matrix is 6785636 x 6785863 (2377.6 MB)

Sieving start time: 2020/11/29 08:18:21
Sieving end time  : 2020/12/02 23:00:20

Total sieving time: 86hrs 41min 59secs.

Total relation processing time: 14hrs 55min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 27min 6sec.

Prototype def-par.txt line would be:
snfs,234,6,0,0,0,0,0,0,0,0,57000000,57000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118911] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242004K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 485232K reserved, 0K cma-reserved)
[    0.153527] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.40 BogoMIPS (lpj=12798816)
[    0.152037] smpboot: Total of 16 processors activated (102390.52 BogoMIPS)

37093276215203876467040556385091764294583727404730997581463031226208253161930242636817997228311124626736119597838880802119081259565536569669958203692187571604130935925062684742583308079271920184161846153573597<209>

1004471237428405396120044204382929733246699<43>
36928161636731518229696775667068339162976081309366238575803996326443692621794965751182104977720863913496783504684603057511804408597286665593092271405021298444506716503<167>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2072634686
Step 1 took 103874ms
Step 2 took 32216ms
********** Factor found in step 2: 1004471237428405396120044204382929733246699
Found probable prime factor of 43 digits: 1004471237428405396120044204382929733246699

199379076590048135805633883049930217323193483152468028140932524423936882280896636190150673616451622091201686177333447251417015580050699250904326525962004044546982255262183485715913298584408556210658235779999430345495457005326269617477<234>

172345942102336562301301926720393986052321157028187586061133919627328631682359081266740708922005726126057055334097721078904139196753237751903186958494502063782612167824574640471927713<183>

319802781243367521193838028563419736123<39>

538913205921066056138103706978974485500623025017326443273452719003895655441255760325298784577721865765228753629078786122094896161140363408677331<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=675443445
Step 1 took 69815ms
Step 2 took 26174ms
********** Factor found in step 2: 319802781243367521193838028563419736123
Found probable prime factor of 39 digits: 319802781243367521193838028563419736123

538913205921066056138103706978974485500623025017326443273452719003895655441255760325298784577721865765228753629078786122094896161140363408677331<144>

13413101773756388596110083736233740278825074539461370966528425695576723<71>
40178119499211212369569497445874566245115745597971926292193756723483202497<74>

<Polynomial selection using msieve 1.52 win64 CUDA>

Mon Dec 09 21:14:23 2013  
Mon Dec 09 21:14:23 2013  Msieve v. 1.52 (SVN unknown)
Mon Dec 09 21:14:23 2013  random seeds: f4d70458 5a63dd4a
Mon Dec 09 21:14:23 2013  factoring 538913205921066056138103706978974485500623025017326443273452719003895655441255760325298784577721865765228753629078786122094896161140363408677331 (144 digits)
Mon Dec 09 21:14:24 2013  searching for 15-digit factors
Mon Dec 09 21:14:25 2013  commencing number field sieve (144-digit input)
Mon Dec 09 21:14:25 2013  commencing number field sieve polynomial selection
Mon Dec 09 21:14:25 2013  polynomial degree: 5
Mon Dec 09 21:14:25 2013  max stage 1 norm: 9.67e+021
Mon Dec 09 21:14:25 2013  max stage 2 norm: 1.60e+020
Mon Dec 09 21:14:25 2013  min E-value: 9.83e-012
Mon Dec 09 21:14:25 2013  poly select deadline: 323208
Mon Dec 09 21:14:25 2013  time limit set to 89.78 CPU-hours
Mon Dec 09 21:14:25 2013  expecting poly E from 1.22e-011 to > 1.40e-011
Mon Dec 09 21:14:25 2013  searching leading coefficients from 1 to 5122178
Mon Dec 09 21:14:25 2013  using GPU 0 (GeForce GTX 660)
Mon Dec 09 21:14:25 2013  selected card has CUDA arch 3.0
Mon Dec 09 21:14:34 2013  polynomial selection complete
Mon Dec 09 21:14:34 2013  elapsed time 00:00:11
<...snipped...>
Tue Dec 10 21:54:42 2013  
Tue Dec 10 21:54:42 2013  Msieve v. 1.52 (SVN unknown)
Tue Dec 10 21:54:42 2013  random seeds: 2db3a500 b588a408
Tue Dec 10 21:54:42 2013  factoring 538913205921066056138103706978974485500623025017326443273452719003895655441255760325298784577721865765228753629078786122094896161140363408677331 (144 digits)
Tue Dec 10 21:54:44 2013  searching for 15-digit factors
Tue Dec 10 21:54:45 2013  commencing number field sieve (144-digit input)
Tue Dec 10 21:54:45 2013  commencing number field sieve polynomial selection
Tue Dec 10 21:54:45 2013  polynomial degree: 5
Tue Dec 10 21:54:45 2013  max stage 1 norm: 9.67e+021
Tue Dec 10 21:54:45 2013  max stage 2 norm: 1.60e+020
Tue Dec 10 21:54:45 2013  min E-value: 9.83e-012
Tue Dec 10 21:54:45 2013  poly select deadline: 323208
Wed Dec 11 02:45:25 2013  polynomial selection complete
Wed Dec 11 02:45:25 2013  R0: -4736581763198895037917994377
Wed Dec 11 02:45:25 2013  R1: 2348012211564569
Wed Dec 11 02:45:25 2013  A0: -381368412845327942577270373651600
Wed Dec 11 02:45:25 2013  A1: 394225183201044187559294631560
Wed Dec 11 02:45:25 2013  A2: -962565048272612998277038
Wed Dec 11 02:45:25 2013  A3: -816538309812316155
Wed Dec 11 02:45:25 2013  A4: 681986050384
Wed Dec 11 02:45:26 2013  A5: 226044
Wed Dec 11 02:45:26 2013  skew 1083811.07, size 6.515e-014, alpha -7.580, combined = 1.299e-011 rroots = 5
Wed Dec 11 02:45:26 2013  elapsed time 04:50:44


<Sieving + postprocessing using GGNFS (SVN 440) + msieve 1.51 (SVN 845)>

Wed Dec 11 22:44:50 2013 -> factmsieve.py (v0.76)
Wed Dec 11 22:44:50 2013 -> This is client 1 of 1
Wed Dec 11 22:44:50 2013 -> Running on 12 Cores with 2 hyper-threads per Core
Wed Dec 11 22:44:50 2013 -> Working with NAME = 77277_119
Wed Dec 11 22:44:50 2013 -> Selected lattice siever: gnfs-lasieve4I14e
Wed Dec 11 22:44:50 2013 -> Creating param file to detect parameter changes...
Wed Dec 11 22:44:50 2013 -> Running setup ...
Wed Dec 11 22:44:50 2013 -> Estimated minimum relations needed: 2.42e+07
Wed Dec 11 22:44:50 2013 -> cleaning up before a restart
Wed Dec 11 22:44:50 2013 -> Running lattice siever ...
Wed Dec 11 22:44:50 2013 -> entering sieving loop
<...snipped...>
Wed Dec 11 22:44:50 2013 -> Lattice sieving algebraic q from 8000000 to 8100000.
<...snipped...>
Wed Dec 11 23:10:58 2013 Found 265296 relations, 1.1% of the estimated minimum (24200000).
<...snipped...>
Thu Dec 12 09:30:33 2013 Found 6238257 relations, 25.8% of the estimated minimum (24200000).
<...snipped...>
Thu Dec 12 20:01:20 2013 Found 12166465 relations, 50.3% of the estimated minimum (24200000).
<...snipped...>
Fri Dec 13 08:40:02 2013 Found 18318908 relations, 75.7% of the estimated minimum (24200000).
<...snipped...>
Fri Dec 13 21:19:30 2013 -> Lattice sieving algebraic q from 17000000 to 17100000.
<...snipped...>
Fri Dec 13 21:54:38 2013 Found 24407612 relations, 100.9% of the estimated minimum (24200000).
Fri Dec 13 21:54:38 2013  
Fri Dec 13 21:54:38 2013  
Fri Dec 13 21:54:38 2013  Msieve v. 1.51 (SVN 845)
Fri Dec 13 21:54:38 2013  random seeds: 20cd9fb0 2a042f24
Fri Dec 13 21:54:38 2013  factoring 538913205921066056138103706978974485500623025017326443273452719003895655441255760325298784577721865765228753629078786122094896161140363408677331 (144 digits)
Fri Dec 13 21:54:39 2013  searching for 15-digit factors
Fri Dec 13 21:54:40 2013  commencing number field sieve (144-digit input)
Fri Dec 13 21:54:40 2013  R0: -4736581763198895037917994377
Fri Dec 13 21:54:40 2013  R1: 2348012211564569
Fri Dec 13 21:54:40 2013  A0: -381368412845327942577270373651600
Fri Dec 13 21:54:40 2013  A1: 394225183201044187559294631560
Fri Dec 13 21:54:40 2013  A2: -962565048272612998277038
Fri Dec 13 21:54:40 2013  A3: -816538309812316155
Fri Dec 13 21:54:40 2013  A4: 681986050384
Fri Dec 13 21:54:40 2013  A5: 226044
Fri Dec 13 21:54:40 2013  skew 1083811.07, size 6.515e-014, alpha -7.580, combined = 1.299e-011 rroots = 5
Fri Dec 13 21:54:40 2013  
Fri Dec 13 21:54:40 2013  commencing relation filtering
Fri Dec 13 21:54:40 2013  estimated available RAM is 4096.0 MB
Fri Dec 13 21:54:40 2013  commencing duplicate removal, pass 1
Fri Dec 13 21:58:06 2013  found 3079088 hash collisions in 24407611 relations
Fri Dec 13 21:59:13 2013  added 121866 free relations
Fri Dec 13 21:59:13 2013  commencing duplicate removal, pass 2
Fri Dec 13 21:59:37 2013  found 2506613 duplicates and 22022864 unique relations
Fri Dec 13 21:59:37 2013  memory use: 98.6 MB
Fri Dec 13 21:59:37 2013  reading ideals above 17104896
Fri Dec 13 21:59:45 2013  commencing singleton removal, initial pass
Fri Dec 13 22:03:26 2013  memory use: 689.0 MB
Fri Dec 13 22:03:26 2013  reading all ideals from disk
Fri Dec 13 22:03:27 2013  memory use: 382.7 MB
Fri Dec 13 22:03:28 2013  commencing in-memory singleton removal
Fri Dec 13 22:03:29 2013  begin with 22022864 relations and 21009064 unique ideals
Fri Dec 13 22:03:41 2013  reduce to 10726244 relations and 8106699 ideals in 18 passes
Fri Dec 13 22:03:41 2013  max relations containing the same ideal: 19
Fri Dec 13 22:03:42 2013  reading ideals above 720000
Fri Dec 13 22:03:43 2013  commencing singleton removal, initial pass
Fri Dec 13 22:05:56 2013  memory use: 188.3 MB
Fri Dec 13 22:05:56 2013  reading all ideals from disk
Fri Dec 13 22:05:56 2013  memory use: 354.2 MB
Fri Dec 13 22:05:58 2013  commencing in-memory singleton removal
Fri Dec 13 22:05:59 2013  begin with 10726497 relations and 10186554 unique ideals
Fri Dec 13 22:06:14 2013  reduce to 10707849 relations and 10166779 ideals in 14 passes
Fri Dec 13 22:06:14 2013  max relations containing the same ideal: 160
Fri Dec 13 22:06:21 2013  removing 1542723 relations and 1339794 ideals in 202929 cliques
Fri Dec 13 22:06:22 2013  commencing in-memory singleton removal
Fri Dec 13 22:06:22 2013  begin with 9165126 relations and 10166779 unique ideals
Fri Dec 13 22:06:31 2013  reduce to 8977221 relations and 8634351 ideals in 9 passes
Fri Dec 13 22:06:31 2013  max relations containing the same ideal: 140
Fri Dec 13 22:06:36 2013  removing 1174586 relations and 971657 ideals in 202929 cliques
Fri Dec 13 22:06:37 2013  commencing in-memory singleton removal
Fri Dec 13 22:06:37 2013  begin with 7802635 relations and 8634351 unique ideals
Fri Dec 13 22:06:44 2013  reduce to 7669187 relations and 7526028 ideals in 8 passes
Fri Dec 13 22:06:44 2013  max relations containing the same ideal: 125
Fri Dec 13 22:06:50 2013  relations with 0 large ideals: 486
Fri Dec 13 22:06:50 2013  relations with 1 large ideals: 489
Fri Dec 13 22:06:50 2013  relations with 2 large ideals: 10133
Fri Dec 13 22:06:50 2013  relations with 3 large ideals: 89122
Fri Dec 13 22:06:50 2013  relations with 4 large ideals: 422829
Fri Dec 13 22:06:50 2013  relations with 5 large ideals: 1168921
Fri Dec 13 22:06:50 2013  relations with 6 large ideals: 1999041
Fri Dec 13 22:06:50 2013  relations with 7+ large ideals: 3978166
Fri Dec 13 22:06:50 2013  commencing 2-way merge
Fri Dec 13 22:06:57 2013  reduce to 4609803 relation sets and 4466644 unique ideals
Fri Dec 13 22:06:57 2013  commencing full merge
Fri Dec 13 22:08:46 2013  memory use: 466.1 MB
Fri Dec 13 22:08:47 2013  found 2399423 cycles, need 2374844
Fri Dec 13 22:08:47 2013  weight of 2374844 cycles is about 166313641 (70.03/cycle)
Fri Dec 13 22:08:47 2013  distribution of cycle lengths:
Fri Dec 13 22:08:47 2013  1 relations: 334672
Fri Dec 13 22:08:47 2013  2 relations: 303481
Fri Dec 13 22:08:47 2013  3 relations: 294791
Fri Dec 13 22:08:47 2013  4 relations: 260553
Fri Dec 13 22:08:47 2013  5 relations: 224790
Fri Dec 13 22:08:47 2013  6 relations: 191397
Fri Dec 13 22:08:47 2013  7 relations: 162459
Fri Dec 13 22:08:47 2013  8 relations: 135150
Fri Dec 13 22:08:47 2013  9 relations: 111135
Fri Dec 13 22:08:47 2013  10+ relations: 356416
Fri Dec 13 22:08:47 2013  heaviest cycle: 21 relations
Fri Dec 13 22:08:48 2013  commencing cycle optimization
Fri Dec 13 22:08:52 2013  start with 12751359 relations
Fri Dec 13 22:09:22 2013  pruned 269370 relations
Fri Dec 13 22:09:22 2013  memory use: 347.6 MB
Fri Dec 13 22:09:22 2013  distribution of cycle lengths:
Fri Dec 13 22:09:22 2013  1 relations: 334672
Fri Dec 13 22:09:22 2013  2 relations: 310333
Fri Dec 13 22:09:22 2013  3 relations: 304659
Fri Dec 13 22:09:22 2013  4 relations: 265485
Fri Dec 13 22:09:22 2013  5 relations: 228593
Fri Dec 13 22:09:22 2013  6 relations: 192272
Fri Dec 13 22:09:22 2013  7 relations: 162844
Fri Dec 13 22:09:22 2013  8 relations: 133768
Fri Dec 13 22:09:22 2013  9 relations: 109571
Fri Dec 13 22:09:22 2013  10+ relations: 332647
Fri Dec 13 22:09:22 2013  heaviest cycle: 21 relations
Fri Dec 13 22:09:26 2013  RelProcTime: 886
Fri Dec 13 22:09:26 2013  elapsed time 00:14:48
Fri Dec 13 22:09:26 2013 LatSieveTime: 2995.32
Fri Dec 13 22:09:26 2013 -> Running matrix solving step ...
Fri Dec 13 22:09:26 2013  
<...snipped...>
Fri Dec 13 22:09:28 2013  commencing linear algebra
Fri Dec 13 22:09:29 2013  read 2374844 cycles
Fri Dec 13 22:09:35 2013  cycles contain 7472035 unique relations
Fri Dec 13 22:10:39 2013  read 7472035 relations
Fri Dec 13 22:10:54 2013  using 20 quadratic characters above 268435172
Fri Dec 13 22:11:45 2013  building initial matrix
Fri Dec 13 22:14:11 2013  memory use: 895.9 MB
Fri Dec 13 22:14:14 2013  read 2374844 cycles
Fri Dec 13 22:14:16 2013  matrix is 2374661 x 2374844 (686.5 MB) with weight 227127746 (95.64/col)
Fri Dec 13 22:14:16 2013  sparse part has weight 160957212 (67.78/col)
Fri Dec 13 22:14:52 2013  filtering completed in 2 passes
Fri Dec 13 22:14:54 2013  matrix is 2370903 x 2371084 (686.2 MB) with weight 226977176 (95.73/col)
Fri Dec 13 22:14:54 2013  sparse part has weight 160915056 (67.87/col)
Fri Dec 13 22:15:10 2013  matrix starts at (0, 0)
Fri Dec 13 22:15:12 2013  matrix is 2370903 x 2371084 (686.2 MB) with weight 226977176 (95.73/col)
Fri Dec 13 22:15:12 2013  sparse part has weight 160915056 (67.87/col)
Fri Dec 13 22:15:12 2013  saving the first 48 matrix rows for later
Fri Dec 13 22:15:13 2013  matrix includes 64 packed rows
Fri Dec 13 22:15:14 2013  matrix is 2370855 x 2371084 (658.5 MB) with weight 181414529 (76.51/col)
Fri Dec 13 22:15:14 2013  sparse part has weight 158384557 (66.80/col)
Fri Dec 13 22:15:14 2013  using block size 65536 for processor cache size 15360 kB
Fri Dec 13 22:15:35 2013  commencing Lanczos iteration (24 threads)
Fri Dec 13 22:15:35 2013  memory use: 963.4 MB
Fri Dec 13 22:15:46 2013  linear algebra at 0.1%, ETA 4h46m
Fri Dec 13 22:15:50 2013  checkpointing every 490000 dimensions
Sat Dec 14 02:57:55 2013  lanczos halted after 37490 iterations (dim = 2370855)
Sat Dec 14 02:57:59 2013  recovered 30 nontrivial dependencies
Sat Dec 14 02:57:59 2013  BLanczosTime: 17311
Sat Dec 14 02:57:59 2013  elapsed time 04:48:33
Sat Dec 14 02:57:59 2013 -> Running square root step ...
Sat Dec 14 02:57:59 2013  
<...snipped...>
Sat Dec 14 02:58:01 2013  
Sat Dec 14 02:58:01 2013  commencing square root phase
Sat Dec 14 02:58:01 2013  reading relations for dependency 1
Sat Dec 14 02:58:01 2013  read 1185110 cycles
Sat Dec 14 02:58:03 2013  cycles contain 3734522 unique relations
Sat Dec 14 02:58:33 2013  read 3734522 relations
Sat Dec 14 02:58:54 2013  multiplying 3734522 relations
Sat Dec 14 03:10:11 2013  multiply complete, coefficients have about 194.65 million bits
Sat Dec 14 03:10:15 2013  initial square root is modulo 9673049
Sat Dec 14 03:23:58 2013  GCD is 1, no factor found
Sat Dec 14 03:23:58 2013  reading relations for dependency 2
Sat Dec 14 03:23:59 2013  read 1185892 cycles
Sat Dec 14 03:24:01 2013  cycles contain 3733198 unique relations
Sat Dec 14 03:24:30 2013  read 3733198 relations
Sat Dec 14 03:24:51 2013  multiplying 3733198 relations
Sat Dec 14 03:36:03 2013  multiply complete, coefficients have about 194.58 million bits
Sat Dec 14 03:36:06 2013  initial square root is modulo 9617137
Sat Dec 14 03:49:54 2013  sqrtTime: 3113
Sat Dec 14 03:49:54 2013  prp71 factor: 13413101773756388596110083736233740278825074539461370966528425695576723
Sat Dec 14 03:49:54 2013  prp74 factor: 40178119499211212369569497445874566245115745597971926292193756723483202497
Sat Dec 14 03:49:54 2013  elapsed time 00:51:55
Sat Dec 14 03:49:54 2013 -> Computing 1.38699e+09 scale for this machine...
Sat Dec 14 03:49:54 2013 -> procrels -speedtest> PIPE
Sat Dec 14 03:49:57 2013 -> Factorization summary written to g144-77277_119.txt




Number: 77277_119
N = 538913205921066056138103706978974485500623025017326443273452719003895655441255760325298784577721865765228753629078786122094896161140363408677331 (144 digits)
Divisors found:
r1=13413101773756388596110083736233740278825074539461370966528425695576723 (pp71)
r2=40178119499211212369569497445874566245115745597971926292193756723483202497 (pp74)
Version: Msieve v. 1.51 (SVN 845)
Total time: 53.31 hours.
Factorization parameters were as follows:
# Murphy_E = 1.299e-11, selected by Youcef Lemsafer
# msieve 1.52 GPU, expecting poly E from 1.22e-011 to > 1.40e-011
n: 538913205921066056138103706978974485500623025017326443273452719003895655441255760325298784577721865765228753629078786122094896161140363408677331
Y0: -4736581763198895037917994377
Y1: 2348012211564569
c0: -381368412845327942577270373651600
c1: 394225183201044187559294631560
c2: -962565048272612998277038
c3: -816538309812316155
c4: 681986050384
c5: 226044
skew: 1083811.07
type: gnfs
# selected mechanically
rlim: 23000000
alim: 23000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
q0: 8000000
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8000000, 17100001)
Total raw relations: 24407612
Relations: 3733198 relations
Pruned matrix : 2370855 x 2371084
Polynomial selection time: 0.00 hours.
Total sieving time: 47.40 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.81 hours.
time per square root: 0.86 hours.
Prototype def-par.txt line would be: gnfs,143,5,67,2000,5e-06,0.28,250,20,50000,3600,23000000,23000000,28,28,56,56,2.6,2.6,100000
total time: 53.31 hours.
Intel64 Family 6 Model 45 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 24, speed: 2.00GHz

msieve 1.52 (SVN 942) win64 CUDA for polynomial selection, GGNFS (SVN 440), msieve 1.51 (SVN 845)

Windows 7 Pro 64 bits, 2x Intel Xeon E5-2620 @ 2.0 GHz, 2x NVIDIA GeForce GTX660, 32 GB RAM

481880655547679242466340033551415877172456970493254350519074636692553810328361304224465314975422208127922538437950261759277152900863349073365406009831476639615711770226592796295252072945192036948351951587<204>

6759726210485383993528889097553968131<37>

71287007867302020491297922471644288364427142331433760445542486473052243929943146765104452876515227994637666842181888786676384602524857781671056923050705390252154140577<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4003363072
Step 1 took 83620ms
Step 2 took 32796ms
********** Factor found in step 2: 6759726210485383993528889097553968131
Found probable prime factor of 37 digits: 6759726210485383993528889097553968131

134573012232129295135591249316825684866570762248263638066421893737189250007877327394587854097401216343938474910582481404452209691744558968000325589790737620248916624771204251399842891775633798996327560170333291019733344345250677128141941<237>

8012309081683492099355279011675834921181507<43>

16795783944452343264150199885884465735015454200503958028728516385901544327424486345237962636359790271207517181023349471867895312364034946615491356671952659997454799189750857053013334330144601063<194>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1777850602
Step 1 took 21834ms
Step 2 took 13568ms
********** Factor found in step 2: 8012309081683492099355279011675834921181507
Found probable prime factor of 43 digits: 8012309081683492099355279011675834921181507
Composite cofactor ((10^243*7-10^121*45-7)/9/53/109049)/8012309081683492099355279011675834921181507 has 194 digits

13146776806123154343273367548778609681616659800487007235243572909120604811490603692409686074335499761596155122816743992483650099786650376069822101974931403769849400198132033094324210610689107429964508111015011045834593<218>

34422010810312364336649809290319781180953160835650133519563158365306713727552454360977121314729756401255723400339259960647402906433363745352388608334727462366534598359638623642270261260175195666224936649<203>

3773746778231705243674565659019134058845041036659895584721028751212768437130818580727790652927688661108799592395885158332829051499830536619994949040306643456623182981409885009349933419532088440291280566781<205>

151869584309724317749973782476037303108096163163054964096594933065380801243731698586061647709185752999912228313688151815575777968479353751008609393373180978058084636057122168340057906559891956894172576559<204>

25925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925759259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<257>

8147472838918517351287627111404889<34>
19070903889246129703870608599922407051617<41>
166855327236669621359486816657868533021580027486446243162109178574222896269025884589528758162869475901562039948614009020202105483759560898018501429578809760311144469728409307313759443<183>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=669168547
Step 1 took 19018ms
Step 2 took 12572ms
********** Factor found in step 2: 19070903889246129703870608599922407051617
Found probable prime factor of 41 digits: 19070903889246129703870608599922407051617
Probable prime cofactor ((10^257*7-10^128*45-7)/9/3/8147472838918517351287627111404889)/19070903889246129703870608599922407051617 has 183 digits

102707344345484413214779030737515406810086337404288834110874536201501132387090075596638281211724573850094501359580056823817631090344998656609562567733728226050759251271409171361771840003188355236370936690988232038745769405227008018471426561593<243>

8995020456420615270023644914876569526474305158081354618055198687895779423247347296947961755793751589890656262241775773297418038880735249021975948797013085068402037806323113264627344469145570493406728869653418051162942064907<223>

14890467258198445630572560234382987471208301406413876987607463393084333910322024621572473258578972806065597859167682020218483626285155150942354696616594270977057943069662592176513038576759489413431059052958729554754719837883127143<230>

105395396111598582021967040046748297460480122846456522329037082438185078141113730512635857286190955811632056337282929107781769100030480655664667705107485432345804239086747779594789034237663650617566453757086005599216569<219>

657630119631002211228157158472993257193614699261042005517101030869251302171603988811782652242456818109310356459089090278306903251932652951780289736798920005906051607075682212082126363448203<189>

1041806131782843003969313853284695532533826532500081036087299227731815950194688427881602052289037229476078054891217893903040004040296832928696750929992551631148712646483450717324929031112943771931395979786337649290616145839183209<229>

3834016145366951713545673365883976893820922843906657130659213455942480564963404308127686019149007117745884537340039144056855838392241977344104856331927173250635381763917160833870777267090241061215805720969343645053772272696882057320490900546255716492672268772173<262>

124870158005375112442907302135864775647<39>

30704022535167402767037332102136458532341676870830127226123629284083405741127607014322477394587009236816159553155119662751285354835121957866094289425496096092332918353832911973261396568475858735814636098246956749360342847059<224>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=565518448
Step 1 took 575700ms
Step 2 took 137440ms
********** Factor found in step 2: 124870158005375112442907302135864775647
Found probable prime factor of 39 digits: 124870158005375112442907302135864775647

30704022535167402767037332102136458532341676870830127226123629284083405741127607014322477394587009236816159553155119662751285354835121957866094289425496096092332918353832911973261396568475858735814636098246956749360342847059<224>

1160618812090388066765461719949729072830353844731<49>

26454872362327518432192622734218994137154286634514708529740626295884796344418848641541805968451005812178309899207037178882704551272493688422233137165200278762851373462649886089<176>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3599549087
Step 1 took 443435ms
Step 2 took 114364ms
********** Factor found in step 2: 1160618812090388066765461719949729072830353844731
Found probable prime factor of 49 digits: 1160618812090388066765461719949729072830353844731

296183216692957532338149232286513136998026404286910361194325753250663003169263020667576942111173425886681943639898305219861937373922439425766211517093572233764790727200170441710237454453493351275608570191189873<210>

11053655066731446296244853823974801719593<41>
26795047873747211591629856707527219383253083221726854787908121274398006331577541474693939555512093110597719345360970843750364104638975413164117238199424091621631810077961<170>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1067621350
Step 1 took 394460ms
Step 2 took 103632ms
********** Factor found in step 2: 11053655066731446296244853823974801719593
Found probable prime factor of 41 digits: 11053655066731446296244853823974801719593

1136371300093103117732409938357226782440559461637299098813907821369353403782423259785037749718128234038926724380752052451782953272828123127191607131989004122743811543938086090482053019702966155890148640398477071756038950282812362383<232>

246547214236407170225115350364429019020241<42>
4609142729974100326988768675439004994968013474088808087938832394149669660164484579795346589697853182519773940206785309478180025012184676103404789814090752219821955856029688674986807171079263<190>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=440553772
Step 1 took 457236ms
Step 2 took 114928ms
********** Factor found in step 2: 246547214236407170225115350364429019020241
Found probable prime factor of 42 digits: 24654721423640717022511535036442901902

8641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641975308641919753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<280>

1454361129769211376761920393216992155797895512422265777774027113688427814888013056608113428951739757118983883256782022960278932450672160589328103042183689476659200899182027544971372616875400154203314332418727001467025959<220>

1558238842842931082880275389776751120985893263755742944906684866896351072101714708283219259119759781899987333744263176745912016047188814694459314495116145558206787643878314012284709825875713534261553951459969623246786521946347165374330152077432895000746841616819719111866189133243<280>

5643587843786225020584515622182008319443695517158552511119360116106406015121491525476996630482163948973950933214927403270030595925343300379527917303815066390989258481996204096484900959614282115893908921138000497105002644666974687934720918166340648533119426055093417735423752961<277>

1621885828712519017338570688083985413313<40>
3479645572997084833166274511063024531020522605986947864854714620240029292443803347816293283866350650157978519476032764712878905134378317220854623866608656227848758843240021434164071490896275321594040720768459353353304643577113575774623297<238>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2840668805
Step 1 took 52417ms
Step 2 took 16299ms
********** Factor found in step 2: 1621885828712519017338570688083985413313
Found probable prime factor of 40 digits: 1621885828712519017338570688083985413313
Probable prime cofactor 3479645572997084833166274511063024531020522605986947864854714620240029292443803347816293283866350650157978519476032764712878905134378317220854623866608656227848758843240021434164071490896275321594040720768459353353304643577113575774623297 has 238 digits

GMP-ECM 6.3

1228525310134667381516373707535771265349674624747378483441169721581538077996461385063422877118505085936852230838060644758324429029600031581199288208335771723754714260521653343829138916949592130507579645323173353600852404640135443498235103306144435247784288539674881<265>

12857580367049110118100092105997543756355067580641<50>

95548717181895486318235238794437452171718923880402242925041016793871676663861580432974439674734162525285830413033889896156989513950796858909373734691040300672582999411086229604793991529848172756646060490646381124641<215>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 1228525310134667381516373707535771265349674624747378483441169721581538077996461385063422877118505085936852230838060644758324429029600031581199288208335771723754714260521653343829138916949592130507579645323173353600852404640135443498235103306144435247784288539674881 (265 digits)
[Sun Sep 30 13:45:19 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=4116484640
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 1090837ms
Using 31 small primes for NTT
Estimated memory usage: 897M
Initializing tables of differences for F took 702ms
Computing roots of F took 28751ms
Building F from its roots took 16177ms
Computing 1/F took 7582ms
Initializing table of differences for G took 593ms
Computing roots of G took 24539ms
Building G from its roots took 15865ms
Computing roots of G took 24742ms
Building G from its roots took 15928ms
Computing G * H took 4228ms
Reducing  G * H mod F took 3978ms
Computing roots of G took 24508ms
Building G from its roots took 15693ms
Computing G * H took 4212ms
Reducing  G * H mod F took 4010ms
Computing roots of G took 24819ms
Building G from its roots took 15585ms
Computing G * H took 4212ms
Reducing  G * H mod F took 4024ms
Computing polyeval(F,G) took 33431ms
Computing product of all F(g_i) took 125ms
Step 2 took 274640ms
********** Factor found in step 2: 12857580367049110118100092105997543756355067580641
Found probable prime factor of 50 digits: 12857580367049110118100092105997543756355067580641
Composite cofactor 95548717181895486318235238794437452171718923880402242925041016793871676663861580432974439674734162525285830413033889896156989513950796858909373734691040300672582999411086229604793991529848172756646060490646381124641 has 215 digits

GMP-ECM

4799577446587171908822769670979460247050605845695611285951197897487131048874170607100454299264721026525702998594166715213691457761748326798014562316994730002568138242421950565798798174289622877402512041504865387861685796581168230767709605237124576447029795508825947358485341010867<280>

31043026910113520086268826338023260829409133501421136126029370188892078518659118839264117146896893390767179833209926642871054842834184290418318466567523914126073214938022454546051120439236808812235929927361126016780884033344530801<230>

908440727148745711241964385193491761176589811878677420650803813744137299877107162853618031699721133829769903303420930689981877572815910778416921547049815359150212430677727734291762185295393828941012831435372398829265301182224123<228>

202772030950056939580833556422873181<36>

4480108636740419331160718888180702524598346918502568161722201777988624669125512699206593392523006450447011087869704822482516400159836794269219111219056020787399719309854131129240297788755472183<193>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3515022438
Step 1 took 97049ms
Step 2 took 33941ms
********** Factor found in step 2: 202772030950056939580833556422873181
Found probable prime factor of 36 digits: 202772030950056939580833556422873181

10954616588419405320813771517996870109546165884194053208137715179968701095461658841940532081377151799687010954616588419405320813771517996870109546165179968701095461658841940532081377151799687010954616588419405320813771517996870109546165884194053208137715179968701095461658841940532081377151799687<296>

1762004565021637193783820727159071074291621791<46>

6217132921153858651336124119837211377693575743826682098288816635536141377147277585181516499837911468211918401194766911480838663595893483972757953373624165444242907241438036569100910585072910275687076104859949818735114978759393887649266225652103013657<250>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2933368280
Step 1 took 1269246ms
Step 2 took 257640ms
********** Factor found in step 2: 1762004565021637193783820727159071074291621791
Found probable prime factor of 46 digits: 1762004565021637193783820727159071074291621791

6217132921153858651336124119837211377693575743826682098288816635536141377147277585181516499837911468211918401194766911480838663595893483972757953373624165444242907241438036569100910585072910275687076104859949818735114978759393887649266225652103013657<250>

906157890155977375337137406843650992815939<42>
6860981942212852879043262511463751016921755673461712498127178759706696726794898987368166269898579555066583563002754669112541892349599679000645810573754600984797164532151833789201021737552931936221096606760563<208>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3058958756
Step 1 took 1251817ms
********** Factor found in step 1: 906157890155977375337137406843650992815939
Found probable prime factor of 42 digits: 906157890155977375337137406843650992815939

375738056897477187332259796027911969940955448201825013419216317767042404723564143853998926462694578636607622114868491680085882984433709071390230810518250134192163177670424047235641438539989264626945786366076221148684916800858829844337090713902308105206655931293612453032742887815351583467525496511<297>

354081015283497426839210188986955924923092120694715699429731401<63>
1061164085842444559027667747082838887198648798208179016266414002614162310548105979860714324268543218717663412468468813106625609576813080459160045223030316334962136473315440527356374552491542866997463876542903251203409297213988919911111<235>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 375738056897477187332259796027911969940955448201825013419216317767042404723564143853998926462694578636607622114868491680085882984433709071390230810518250134192163177670424047235641438539989264626945786366076221148684916800858829844337090713902308105206655931293612453032742887815351583467525496511 (297 digits)
[Sun Jul 01 10:42:56 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=412761441
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 1374275ms
Using 35 small primes for NTT
Estimated memory usage: 1010M
Initializing tables of differences for F took 921ms
Computing roots of F took 35552ms
Building F from its roots took 22620ms
Computing 1/F took 9516ms
Initializing table of differences for G took 749ms
Computing roots of G took 29125ms
Building G from its roots took 21185ms
Computing roots of G took 29141ms
Building G from its roots took 21980ms
Computing G * H took 5428ms
Reducing  G * H mod F took 5148ms
Computing roots of G took 29141ms
Building G from its roots took 21607ms
Computing G * H took 5491ms
Reducing  G * H mod F took 5133ms
Computing roots of G took 29281ms
Building G from its roots took 21310ms
Computing G * H took 5460ms
Reducing  G * H mod F took 5211ms
Computing polyeval(F,G) took 49187ms
Computing product of all F(g_i) took 187ms
Step 2 took 355339ms
********** Factor found in step 2: 354081015283497426839210188986955924923092120694715699429731401
Found probable prime factor of 63 digits: 354081015283497426839210188986955924923092120694715699429731401
Probable prime cofactor 1061164085842444559027667747082838887198648798208179016266414002614162310548105979860714324268543218717663412468468813106625609576813080459160045223030316334962136473315440527356374552491542866997463876542903251203409297213988919911111 has 235 digits
Report your potential champion to Richard Brent <champs@rpbrent.com>
(see http://wwwmaths.anu.edu.au/~brent/ftp/champs.txt)

GMP-ECM

58739356400837397839408208555300893408269400741520837048892735520154980348742480263993076554114190572895163006845784740713800316091817642153315427615506600570149917613746617597613620379703332592969537800731418376778919323922851<227>