36138292069212252804360029632108275578414345782524514470030745613346797095292264523197204403608737079442116410293774845823464966686989621555577<143>

4560488305057311382507435593928027003772055069381323048336055152141<67>
7924215490068690146402503872065403399730977147986139905338185035670928531997<76>

Number: 44441_153
N=36138292069212252804360029632108275578414345782524514470030745613346797095292264523197204403608737079442116410293774845823464966686989621555577
  ( 143 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=4560488305057311382507435593928027003772055069381323048336055152141 (pp67)
 r2=7924215490068690146402503872065403399730977147986139905338185035670928531997 (pp76)
Version: GGNFS-0.77.1-20050930-k8
Total time: 24.08 hours.
Scaled time: 21.67 units (timescale=0.900).
Factorization parameters were as follows:
n: 36138292069212252804360029632108275578414345782524514470030745613346797095292264523197204403608737079442116410293774845823464966686989621555577
m: 2000000000000000000000000000000
c5: 125
c0: -31
skew: 1
type: snfs
Factor 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, 2500001)
Primes: RFBsize:176302, AFBsize:175914, largePrimes:5665459 encountered
Relations: rels:5608318, finalFF:477939
Max relations in full relation-set: 28
Initial matrix: 352281 x 477939 with sparse part having weight 46352456.
Pruned matrix : 305368 x 307193 with weight 27517089.
Total sieving time: 23.11 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.82 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 24.08 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 06
Memory: 4037276k/5242880k available (2106k kernel code, 0k reserved, 1297k data, 196k init)
Calibrating delay using timer specific routine.. 4671.63 BogoMIPS (lpj=2335816)
Calibrating delay using timer specific routine.. 4668.47 BogoMIPS (lpj=2334236)
Total of 2 processors activated (9340.10 BogoMIPS).

Core 2 Duo E6300@2.33GHz

386775275579383985403180571200827293186090802279739845782684113049162403323042202351224158695555356056810202030321187305213751492872005662295233<144>

11185420019696678677811865661633748545271<41>
34578520511371229487723717650783373547939991261364004863630803290628246801392406565091826983685186774023<104>

Input number is 386775275579383985403180571200827293186090802279739845782684113049162403323042202351224158695555356056810202030321187305213751492872005662295233 (144 digits)
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=718734850
Step 1 took 3602587ms
Step 2 took 805199ms
********** Factor found in step 2: 11185420019696678677811865661633748545271
Found probable prime factor of 41 digits: 11185420019696678677811865661633748545271
Probable prime cofactor 34578520511371229487723717650783373547939991261364004863630803290628246801392406565091826983685186774023 has 104 digits

GMP-ECM 6.1

41470207551846257950116491850868348405236653748523626812527085979082127700219902135132902454773983973407894491568655258286753201587180691885573<143>

1430726570423886205441057904508188264305283<43>
28985417905225412247112454549094232344842096588627794290356131149243691637467494402561338794411644631<101>

Number: n
N=41470207551846257950116491850868348405236653748523626812527085979082127700219902135132902454773983973407894491568655258286753201587180691885573
  ( 143 digits)
SNFS difficulty: 165 digits.
Divisors found:

Wed Jan 23 16:28:15 2008  prp43 factor: 1430726570423886205441057904508188264305283
Wed Jan 23 16:28:15 2008  prp101 factor: 28985417905225412247112454549094232344842096588627794290356131149243691637467494402561338794411644631
Wed Jan 23 16:28:15 2008  elapsed time 00:55:20 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-k8
Total time: 49.93 hours.
Scaled time: 41.89 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_4_164_1
n: 41470207551846257950116491850868348405236653748523626812527085979082127700219902135132902454773983973407894491568655258286753201587180691885573
type: snfs
deg: 5
c5: 4
c0: -31
skew: 1.51
m: 1000000000000000000000000000000000
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, 100000)
Primes: RFBsize:216816, AFBsize:217657, largePrimes:5723795 encountered
Relations: rels:5649683, finalFF:500595
Max relations in full relation-set: 28
Initial matrix: 434537 x 500595 with sparse part having weight 44325199.
Pruned matrix : 409247 x 411483 with weight 32710677.
Total sieving time: 47.78 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.96 hours.
Total square root time: 0.00 hours, sqrts: 32.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 49.93 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).

23789213044293303229550735607486601307766306706298497379290758255801377010322518700127858457364260309316537501324589084283252677872502791566794880261178912643339<161>

154672668131208332773994942553144120407006879014809000343<57>
153803599121423245988030142267402289768022067254300628720236883515007414392873119738585516383755757888173<105>

Number: 44441_172
N=23789213044293303229550735607486601307766306706298497379290758255801377010322518700127858457364260309316537501324589084283252677872502791566794880261178912643339
  ( 161 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=154672668131208332773994942553144120407006879014809000343 (pp57)
 r2=153803599121423245988030142267402289768022067254300628720236883515007414392873119738585516383755757888173 (pp105)
Version: Msieve-1.40
Total time: 63.16 hours.
Scaled time: 109.84 units (timescale=1.739).
Factorization parameters were as follows:
n: 23789213044293303229550735607486601307766306706298497379290758255801377010322518700127858457364260309316537501324589084283252677872502791566794880261178912643339
m: 20000000000000000000000000000000000
deg: 5
c5: 25
c0: -62
skew: 1.20
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 5950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 998422 x 998655
Total sieving time: 61.66 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.28 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 63.16 hours.

GGNFS, Msieve 1.42

7729220879352351153013101378082592843337556829023539351665660507177539117223814006573982196897174293351721382439223285549015530353367195285541263649400342083<157>

4498230111620791750209610078468593245067235231274070330521039<61>
1718280454213440932277591880486530693988757269147198266364252508172991305884293618799254053566797<97>

SNFS difficulty: 173 digits.
Divisors found:
 r1=4498230111620791750209610078468593245067235231274070330521039
 r2=1718280454213440932277591880486530693988757269147198266364252508172991305884293618799254053566797
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.726).
Factorization parameters were as follows:
n: 7729220879352351153013101378082592843337556829023539351665660507177539117223814006573982196897174293351721382439223285549015530353367195285541263649400342083
Y1: 1
Y0: -20000000000000000000000000000000000
c5: 125
c0: -31
skew: 0.76
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8000001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1312353 x 1312601
Total sieving time: 0.00 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,173,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

54616627017681544743986838092415411816852954873128335763888764844274262889698533737577934396314791125895856004100260211391989572520846519<137>

96493262337926587585879332714367516058304432899700923403982148851501<68>
566014928860110992119069218092165078219824719240671494996143890668019<69>

N=54616627017681544743986838092415411816852954873128335763888764844274262889698533737577934396314791125895856004100260211391989572520846519
  ( 137 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=96493262337926587585879332714367516058304432899700923403982148851501 (pp68)
 r2=566014928860110992119069218092165078219824719240671494996143890668019 (pp69)
Version: Msieve-1.40
Total time: 96.41 hours.
Scaled time: 181.44 units (timescale=1.882).
Factorization parameters were as follows:
n: 54616627017681544743986838092415411816852954873128335763888764844274262889698533737577934396314791125895856004100260211391989572520846519
m: 20000000000000000000000000000000000
deg: 5
c5: 1250
c0: -31
skew: 0.48
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 240000Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 7410001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 913878 x 914108
Total sieving time: 94.62 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.90 hours.
Time per square root: 0.79 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 96.41 hours.
 --------- CPU info (if available) ----------

128991538456307981164990197358125790083667715835478317720054192858648027917347895372748154087686293316280060652197134507535968927524414235650717767073709898133740309<165>

557576107347433307084104995199533784670482842679674582137471791719629<69>
231343374933982935785443306053202169398643921490344730180902232740142930438447355775001154178921<96>

Number: 44441_175
N=128991538456307981164990197358125790083667715835478317720054192858648027917347895372748154087686293316280060652197134507535968927524414235650717767073709898133740309
  ( 165 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=557576107347433307084104995199533784670482842679674582137471791719629
 r2=231343374933982935785443306053202169398643921490344730180902232740142930438447355775001154178921
Version: 
Total time: 118.43 hours.
Scaled time: 238.52 units (timescale=2.014).
Factorization parameters were as follows:
n: 128991538456307981164990197358125790083667715835478317720054192858648027917347895372748154087686293316280060652197134507535968927524414235650717767073709898133740309
m: 100000000000000000000000000000000000
deg: 5
c5: 4
c0: -31
skew: 1.51
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 6250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 906314 x 906562
Total sieving time: 118.43 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,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 118.43 hours.
 --------- CPU info (if available) ----------

3846220476345118832108998656213957231199997566866995772725881777424686109863785283056075100863623068462636649438105703704881296092597727524989<142>

3546208690174576003032801292434033137<37>
1084600713714841631224511498580773158870292785916346806913222124467174234564454766685273936847268039781197<106>

N=3846220476345118832108998656213957231199997566866995772725881777424686109863785283056075100863623068462636649438105703704881296092597727524989
  ( 142 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=3546208690174576003032801292434033137 (pp37)
 r2=1084600713714841631224511498580773158870292785916346806913222124467174234564454766685273936847268039781197 (pp106)
Version: Msieve-1.40
Total time: 105.94 hours.
Scaled time: 196.52 units (timescale=1.855).
Factorization parameters were as follows:
n: 3846220476345118832108998656213957231199997566866995772725881777424686109863785283056075100863623068462636649438105703704881296092597727524989
m: 100000000000000000000000000000000000
deg: 5
c5: 40
c0: -31
skew: 0.95
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1154023 x 1154260
Total sieving time: 103.65 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.00 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 105.94 hours.
 --------- CPU info (if available) ----------

511614973205577522430167793997677416947801607289571399172019109081307367311943721892853241598088397030194672087898428951578458771677071904003375110684852233651<159>

370166671565082754356618174185962649703141833363201<51>
1382120575692145500222777869579992429892695129793012604198121760565870269773775262415074901880073039029430451<109>

Number: 441-1
N=511614973205577522430167793997677416947801607289571399172019109081307367311943721892853241598088397030194672087898428951578458771677071904003375110684852233651
  ( 159 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=370166671565082754356618174185962649703141833363201 (pp51)
 r2=1382120575692145500222777869579992429892695129793012604198121760565870269773775262415074901880073039029430451 (pp109)
Version: Msieve-1.40
Total time: 148.54 hours.
Scaled time: 285.49 units (timescale=1.922).
Factorization parameters were as follows:
n: 511614973205577522430167793997677416947801607289571399172019109081307367311943721892853241598088397030194672087898428951578458771677071904003375110684852233651
m: 1000000000000000000000000000000000000
deg: 5
c5: 4
c0: -31
skew: 1.51
# Murphy_E = 1.119e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 6000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1113225 x 1113451
Total sieving time: 147.00 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 148.54 hours.
 --------- CPU info (if available) ----------

350678423961842493729246583229724423685615232184993031214145040572519155068819591779849294477911743031232439012498194912517275810305005552598017<144>

40498102619264963743680471037907601359<38>
8659132188455283978339247072345378097394863440403871257374398901345864941003987915441947362782767403983663<106>

N=350678423961842493729246583229724423685615232184993031214145040572519155068819591779849294477911743031232439012498194912517275810305005552598017
  ( 144 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=40498102619264963743680471037907601359 (pp38)
 r2=8659132188455283978339247072345378097394863440403871257374398901345864941003987915441947362782767403983663 (pp106)
Version: Msieve-1.40
Total time: 150.28 hours.
Scaled time: 294.09 units (timescale=1.957).
Factorization parameters were as follows:
n: 350678423961842493729246583229724423685615232184993031214145040572519155068819591779849294477911743031232439012498194912517275810305005552598017
m: 1000000000000000000000000000000000000
deg: 5
c5: 40
c0: -31
skew: 0.95
# Murphy_E = 1.024e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 6100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1176562 x 1176789
Total sieving time: 148.55 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.44 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 150.28 hours.
 --------- CPU info (if available) ----------

3015572696584852809456973175599019254442494069685606449037092916837733527003570743285631033556963439554618401900680351<118>

1766892702122215773694321824469898688927028541<46>
1706709577193253910450975857316609717444200221315333520908743744458950411<73>

Number: N
N=3015572696584852809456973175599019254442494069685606449037092916837733527003570743285631033556963439554618401900680351
  ( 118 digits)
Divisors found:
 r1=1766892702122215773694321824469898688927028541 (pp46)
 r2=1706709577193253910450975857316609717444200221315333520908743744458950411 (pp73)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 7.89 hours.
Scaled time: 10.99 units (timescale=1.394).
Factorization parameters were as follows:
name: (4*10^183-31)/9
n: 3015572696584852809456973175599019254442494069685606449037092916837733527003570743285631033556963439554618401900680351
skew: 80655.687500
# norm 2.93E+016
c5: 44160
c4: 75823687
c3: -1227681520676813
c2: 1934855151663165448
c1: 2180936122400030909134833
c0: 8766828659110871169453784725
#alpha -6.110000
Y1: 249093839953
Y0: -36886559257510036546034
# Murphy_E 3.58E-010
# M 1645930614903737644997169554295783841518726258894790408243495281749846408113031966724666382214204881428543513397336941
type: gnfs
rlim: 3000000
alim: 3000000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 10000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 5585000
)
Primes: RFBsize:216816, AFBsize:216353, largePrimes:4290124 encountered
Relations: rels:4641865, finalFF:510826
Max relations in full relation-set: 28
Initial matrix: 433255 x 510826 with sparse part having weight 62444546.
Pruned matrix : 380371 x 382601 with weight 47424543.
Total sieving time: 0.00 hours.
Total relation processing time: 0.59 hours.
Matrix solve time: 6.64 hours.
Time per square root: 0.66 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3000000,3000000,26,26,48,48,2.5,2.5,10000
total time: 7.89 hours.
 --------- CPU info (if available) ----------

WinXP Pro + Cygwin

228814380879327624121206944523023119704518326197065805021909058801587397274692301475453453517552711714182219612890018211760334527287858266407569608607650249417<159>

10290490512986074429609871635074757752571380241652078495148987913420228264061<77>
22235517402263336247628790444790799946714865089908330908610426847119491157358305597<83>

N=228814380879327624121206944523023119704518326197065805021909058801587397274692301475453453517552711714182219612890018211760334527287858266407569608607650249417
  ( 159 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=10290490512986074429609871635074757752571380241652078495148987913420228264061 (pp77)
 r2=22235517402263336247628790444790799946714865089908330908610426847119491157358305597 (pp83)
Version: Msieve-1.40
Total time: 203.74 hours.
Scaled time: 399.94 units (timescale=1.963).
Factorization parameters were as follows:
n: 228814380879327624121206944523023119704518326197065805021909058801587397274692301475453453517552711714182219612890018211760334527287858266407569608607650249417
m: 10000000000000000000000000000000000000
deg: 5
c5: 4
c0: -31
skew: 1.51
# Murphy_E = 7.018e-11
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 7550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1391638 x 1391863
Total sieving time: 200.82 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.55 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 203.74 hours.
 --------- CPU info (if available) ----------

296890076449194685667631559415126549395086469234765827952200697691679655607511318934164625547391078453202701699695687671639575447190677651599495286870036369034365026348994284866028353<183>

598138986459096730395341182841727820103903<42>
496356337189696433117694214004247077816195442584545699193391463991218138922878239760308283346772475928822571944307529233372143772747733213151<141>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 296890076449194685667631559415126549395086469234765827952200697691679655607511318934164625547391078453202701699695687671639575447190677651599495286870036369034365026348994284866028353 (183 digits)
Using B1=2846000, B2=4281592780, polynomial Dickson(6), sigma=3524509762
Step 1 took 72826ms
********** Factor found in step 1: 598138986459096730395341182841727820103903
Found probable prime factor of 42 digits: 598138986459096730395341182841727820103903
Probable prime cofactor 496356337189696433117694214004247077816195442584545699193391463991218138922878239760308283346772475928822571944307529233372143772747733213151 has 141 digits

44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<188>

13495944323227175196168775505661471275310792953928331944840120875227820565323694150016861<89>
3293170405864330551260159426012918407131606691963604942513292260623991525800017750997167920521516781<100>

Number: 44441_188
N=44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
  ( 188 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=13495944323227175196168775505661471275310792953928331944840120875227820565323694150016861 (pp89)
 r2=3293170405864330551260159426012918407131606691963604942513292260623991525800017750997167920521516781 (pp100)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 506.97 hours.
Scaled time: 1079.34 units (timescale=2.129).
Factorization parameters were as follows:
n: 44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 100000000000000000000000000000000000000
c5: 1
c0: -775
skew: 3.78
type: snfs
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 51/51
Sieved algebraic special-q in [6500000, 14600001)
Primes: RFBsize:849252, AFBsize:849399, largePrimes:12866508 encountered
Relations: rels:13641443, finalFF:1950967
Max relations in full relation-set: 28
Initial matrix: 1698715 x 1950967 with sparse part having weight 145829012.
Pruned matrix : 1480381 x 1488938 with weight 111459556.
Total sieving time: 484.73 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 21.67 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,51,51,2.6,2.6,100000
total time: 506.97 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: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).

Core 2 Quad Q6600

4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<190>

56633002372177889917787382603024134082794402810604184699423290284260806567232850743196879<89>
78477994425170505252478126430623716163551522942533133685072386085630247384183834818134344179505629079<101>

Number: 44441_190
N=4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
  ( 190 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=56633002372177889917787382603024134082794402810604184699423290284260806567232850743196879 (pp89)
 r2=78477994425170505252478126430623716163551522942533133685072386085630247384183834818134344179505629079 (pp101)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 506.30 hours.
Scaled time: 1086.00 units (timescale=2.145).
Factorization parameters were as follows:
n: 4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 100000000000000000000000000000000000000
c5: 4
c0: -31
skew: 1.51
type: snfs
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 51/51
Sieved algebraic special-q in [6500000, 14600001)
Primes: RFBsize:849252, AFBsize:849764, largePrimes:12825340 encountered
Relations: rels:13582667, finalFF:1936815
Max relations in full relation-set: 28
Initial matrix: 1699080 x 1936815 with sparse part having weight 144996551.
Pruned matrix : 1492822 x 1501381 with weight 111522440.
Total sieving time: 485.19 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 20.54 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,51,51,2.6,2.6,100000
total time: 506.30 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: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific ro2utine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405120)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405122)
Total of 4 processors activated (19246.09 BogoMIPS).

Core 2 Quad Q6600

4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<193>

646181061524363199600970571839514279881175613475434692033<57>
6878017182923696594530988282380362877712659016819970541769693419701317790915722248377653237079002311402940729245426422513461529454956377<136>

Number: 44441_193
N=4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
  ( 193 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=646181061524363199600970571839514279881175613475434692033 (pp57)
 r2=6878017182923696594530988282380362877712659016819970541769693419701317790915722248377653237079002311402940729245426422513461529454956377 (pp136)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 633.40 hours.
Scaled time: 1503.05 units (timescale=2.373).
Factorization parameters were as follows:
n: 4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441
m: 1000000000000000000000000000000000000000
c5: 1
c0: -775
skew: 3.78
type: snfs
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 52/52
Sieved algebraic special-q in [10000000, 20400001)
Primes: RFBsize:1270607, AFBsize:1272451, largePrimes:21030425 encountered
Relations: rels:21534447, finalFF:2888534
Max relations in full relation-set: 28
Initial matrix: 2543122 x 2888533 with sparse part having weight 170079893.
Pruned matrix : 2224800 x 2237579 with weight 124339102.
Total sieving time: 591.27 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 41.22 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,52,52,2.6,2.6,100000
total time: 633.40 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: 8047092k/8912896k available (2459k kernel code, 339200k reserved, 1247k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.73 BogoMIPS (lpj=2672366)
Calibrating delay using timer specific routine.. 5343.99 BogoMIPS (lpj=2671997)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

1904599844499368866038428786200259995340405260025753080279701654035913633463236531012068724113037202082112440459815376353819045054610749617162007342564811688157904956673441879051<178>

1428506683894605221037473296697076114494482623321338847491311<61>
1333280317111830643947842869386999119060026194255319553343863726885979115762829301628840988298752497620444431553522341<118>

N = 1904599844499368866038428786200259995340405260025753080279701654035913633463236531012068724113037202082112440459815376353819045054610749617162007342564811688157904956673441879051 (178 digits)
SNFS difficulty: 196 digits.
Divisors found:
r1=1428506683894605221037473296697076114494482623321338847491311 (pp61)
r2=1333280317111830643947842869386999119060026194255319553343863726885979115762829301628840988298752497620444431553522341 (pp118)
Version: Msieve v. 1.52 (SVN exported)
Total time: 45.93 hours.
Factorization parameters were as follows:
n: 1904599844499368866038428786200259995340405260025753080279701654035913633463236531012068724113037202082112440459815376353819045054610749617162007342564811688157904956673441879051
m: 1000000000000000000000000000000000000000
deg: 5
c5: 4
c0: -31
skew: 1.51
# Murphy_E = 2.723e-11
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 25400291
Relations: 2804308 relations
Pruned matrix : 1827338 x 1827565
Polynomial selection time: 0.00 hours.
Total sieving time: 43.21 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 1.90 hours.
time per square root: 0.54 hours.
Prototype def-par.txt line would be: snfs,196,5,0,0,0,0,0,0,0,0,12700000,12700000,28,28,55,55,2.5,2.5,600000
total time: 45.93 hours.

374046150228173323380807595022805382554654053940337044029074580835216463679660422954179214722659465000076502672706389982552032900972277554928993940469580563<156>

2853680319046583116215508359181584993058656110438395814139619<61>
131075000844222958452387637838172044813268969095134620750432906586859887808750243711990799772177<96>

N = 374046150228173323380807595022805382554654053940337044029074580835216463679660422954179214722659465000076502672706389982552032900972277554928993940469580563 (156 digits)
SNFS difficulty: 197 digits.
Divisors found:
r1=2853680319046583116215508359181584993058656110438395814139619 (pp61)
r2=131075000844222958452387637838172044813268969095134620750432906586859887808750243711990799772177 (pp96)
Version: Msieve v. 1.52 (SVN exported)
Total time: 49.38 hours.
Factorization parameters were as follows:
n: 374046150228173323380807595022805382554654053940337044029074580835216463679660422954179214722659465000076502672706389982552032900972277554928993940469580563
m: 1000000000000000000000000000000000000000
deg: 5
c5: 40
c0: -31
skew: 0.95
# Murphy_E = 2.486e-11
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 26376706
Relations: 2699742 relations
Pruned matrix : 1802372 x 1802599
Polynomial selection time: 0.00 hours.
Total sieving time: 47.16 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 1.77 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,197,5,0,0,0,0,0,0,0,0,13200000,13200000,28,28,55,55,2.5,2.5,600000
total time: 49.38 hours.

724693361126642094702619252477464670788210461790302455463521418586358974284892301404972168288731912574753041670468472129206155732886857528053587305403441581581307927901705083746162076887<186>

391437380924228961415441579181678809863541703<45>

1851364730204246699445947447593130741648643606361445956964669912774069240385397254059472984070631188938362326822002817140494531073111445372529<142>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=862213936
Step 1 took 218094ms
Step 2 took 85922ms
********** Factor found in step 2: 391437380924228961415441579181678809863541703
Found probable prime factor of 45 digits: 391437380924228961415441579181678809863541703
Composite cofactor 1851364730204246699445947447593130741648643606361445956964669912774069240385397254059472984070631188938362326822002817140494531073111445372529 has 142 digits

GMP-ECM 6.2.3

1851364730204246699445947447593130741648643606361445956964669912774069240385397254059472984070631188938362326822002817140494531073111445372529<142>

27341239084817731312704676712077154124947810829073<50>
67713270947997663085945379813617454524830245086422560218389617432472334940394587855990277473<92>

N = 1851364730204246699445947447593130741648643606361445956964669912774069240385397254059472984070631188938362326822002817140494531073111445372529 (142 digits)
SNFS difficulty: 198 digits.
Divisors found:
r1=27341239084817731312704676712077154124947810829073 (pp50)
r2=67713270947997663085945379813617454524830245086422560218389617432472334940394587855990277473 (pp92)
Version: Msieve v. 1.52 (SVN exported)
Total time: 65.40 hours.
Factorization parameters were as follows:
n: 1851364730204246699445947447593130741648643606361445956964669912774069240385397254059472984070631188938362326822002817140494531073111445372529
m: 1000000000000000000000000000000000000000
deg: 5
c5: 400
c0: -31
skew: 0.60
# Murphy_E = 1.92e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 28323052
Relations: 2719674 relations
Pruned matrix : 1871701 x 1871926
Polynomial selection time: 0.00 hours.
Total sieving time: 62.94 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 1.98 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,198,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,600000
total time: 65.40 hours.

15886918229761599192394694978644128269021360775911427739021428070156555614521731193396400267232966641474462294196147851262571135263725121810907731554378074559914271722311543693376715630847<188>

22460611135701319693477138504834022192391507761327<50>
707323506639105494113679323593612850890998823057195312952887433141045911569569005579731694156536707003078474713261020561992326376088643761<138>

N=15886918229761599192394694978644128269021360775911427739021428070156555614521731193396400267232966641474462294196147851262571135263725121810907731554378074559914271722311543693376715630847
  ( 188 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=22460611135701319693477138504834022192391507761327 (pp50)
 r2=707323506639105494113679323593612850890998823057195312952887433141045911569569005579731694156536707003078474713261020561992326376088643761 (pp138)
Version: Msieve v. 1.49
Total time:
Scaled time: 51.84 units (timescale=0.513).
Factorization parameters were as follows:
n: 15886918229761599192394694978644128269021360775911427739021428070156555614521731193396400267232966641474462294196147851262571135263725121810907731554378074559914271722311543693376715630847
m: 2000000000000000000000000000000000000000
deg: 5
c5: 125
c0: -31
skew: 0.76
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7150000, 17070001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2590136 x 2590342
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,198.000,5,0,0,0,0,0,0,0,0,14300000,14300000,28,28,55,55,2.5,2.5,100000
total time:

201063323385725408824568731737795330605909351605968162628058487310139673664172978798375207283719952971288660078826875933373646529672171277802659364046761297119818158330329949940259060039016337903<195>

6099950637964487344624524200296949847675258491<46>
2617574360209393093008226658654893652993339169215851<52>
12592370931196073272289411784959848587864333346912734305442667923493511107809613626421022457004183<98>

Number: 44441_200
N=201063323385725408824568731737795330605909351605968162628058487310139673664172978798375207283719952971288660078826875933373646529672171277802659364046761297119818158330329949940259060039016337903
  ( 195 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=6099950637964487344624524200296949847675258491
 r2=2617574360209393093008226658654893652993339169215851
 r3=12592370931196073272289411784959848587864333346912734305442667923493511107809613626421022457004183
Version: 
Total time: 732.85 hours.
Scaled time: 1472.29 units (timescale=2.009).
Factorization parameters were as follows:
n: 201063323385725408824568731737795330605909351605968162628058487310139673664172978798375207283719952971288660078826875933373646529672171277802659364046761297119818158330329949940259060039016337903
m: 10000000000000000000000000000000000000000
deg: 5
c5: 4
c0: -31
skew: 1.51
type: snfs
lss: 1
rlim: 15400000
alim: 15400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 15400000/15400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7700000, 15500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2968446 x 2968694
Total sieving time: 732.85 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,200,5,0,0,0,0,0,0,0,0,15400000,15400000,29,29,56,56,2.6,2.6,100000
total time: 732.85 hours.
 --------- CPU info (if available) ----------

13442216586793624695913837203841413947504132020319431403679708080458165906721054540200737493746217884866562175006454322536097840779045856635116845843451<152>

422010065747063459582013884199458714815196780723839957<54>
31852834038442984296270020762922608243954171766434521461336169777042207249997658582677120591052943<98>

Sat Dec  4 10:42:12 2021  Msieve v. 1.53 (SVN unknown)
Sat Dec  4 10:42:12 2021  random seeds: 523feac0 0ca78bfe
Sat Dec  4 10:42:12 2021  factoring 13442216586793624695913837203841413947504132020319431403679708080458165906721054540200737493746217884866562175006454322536097840779045856635116845843451 (152 digits)
Sat Dec  4 10:42:12 2021  searching for 15-digit factors
Sat Dec  4 10:42:13 2021  commencing number field sieve (152-digit input)
Sat Dec  4 10:42:13 2021  R0: -10000000000000000000000000000000000000000
Sat Dec  4 10:42:13 2021  R1: 1
Sat Dec  4 10:42:13 2021  A0: -31
Sat Dec  4 10:42:13 2021  A1: 0
Sat Dec  4 10:42:13 2021  A2: 0
Sat Dec  4 10:42:13 2021  A3: 0
Sat Dec  4 10:42:13 2021  A4: 0
Sat Dec  4 10:42:13 2021  A5: 40
Sat Dec  4 10:42:13 2021  skew 0.95, size 5.541e-14, alpha 0.249, combined = 1.365e-11 rroots = 1
Sat Dec  4 10:42:13 2021  
Sat Dec  4 10:42:13 2021  commencing square root phase
Sat Dec  4 10:42:13 2021  reading relations for dependency 1
Sat Dec  4 10:42:14 2021  read 1690438 cycles
Sat Dec  4 10:42:16 2021  cycles contain 5773656 unique relations
Sat Dec  4 10:43:17 2021  read 5773656 relations
Sat Dec  4 10:43:43 2021  multiplying 5773656 relations
Sat Dec  4 10:46:50 2021  multiply complete, coefficients have about 167.44 million bits
Sat Dec  4 10:46:52 2021  initial square root is modulo 1021261
Sat Dec  4 10:50:53 2021  GCD is 1, no factor found
Sat Dec  4 10:50:53 2021  reading relations for dependency 2
Sat Dec  4 10:50:53 2021  read 1691529 cycles
Sat Dec  4 10:50:56 2021  cycles contain 5778194 unique relations
Sat Dec  4 10:51:55 2021  read 5778194 relations
Sat Dec  4 10:52:20 2021  multiplying 5778194 relations
Sat Dec  4 10:55:25 2021  multiply complete, coefficients have about 167.57 million bits
Sat Dec  4 10:55:26 2021  initial square root is modulo 1032191
Sat Dec  4 10:59:24 2021  GCD is 1, no factor found
Sat Dec  4 10:59:24 2021  reading relations for dependency 3
Sat Dec  4 10:59:24 2021  read 1690898 cycles
Sat Dec  4 10:59:27 2021  cycles contain 5778462 unique relations
Sat Dec  4 11:00:27 2021  read 5778462 relations
Sat Dec  4 11:00:54 2021  multiplying 5778462 relations
Sat Dec  4 11:04:21 2021  multiply complete, coefficients have about 167.58 million bits
Sat Dec  4 11:04:23 2021  initial square root is modulo 1032701
Sat Dec  4 11:08:45 2021  GCD is 1, no factor found
Sat Dec  4 11:08:45 2021  reading relations for dependency 4
Sat Dec  4 11:08:46 2021  read 1691508 cycles
Sat Dec  4 11:08:49 2021  cycles contain 5777800 unique relations
Sat Dec  4 11:09:52 2021  read 5777800 relations
Sat Dec  4 11:10:21 2021  multiplying 5777800 relations
Sat Dec  4 11:13:53 2021  multiply complete, coefficients have about 167.55 million bits
Sat Dec  4 11:13:54 2021  initial square root is modulo 1030751
Sat Dec  4 11:18:24 2021  sqrtTime: 2171
Sat Dec  4 11:18:24 2021  p54 factor: 422010065747063459582013884199458714815196780723839957
Sat Dec  4 11:18:24 2021  p98 factor: 31852834038442984296270020762922608243954171766434521461336169777042207249997658582677120591052943
Sat Dec  4 11:18:24 2021  elapsed time 00:36:12
Sat Dec 04 11:18:24 2021 -> Computing 1.63858e+09 scale for this machine...
Sat Dec 04 11:18:24 2021 -> procrels -speedtest> PIPE
Sat Dec 04 11:18:27 2021 -> Factorization summary written to s202-44441_201.txt

core i3 3240 windows 7

5032557779388349128608319530343046940889127203741604519769341273470452719144833676170242218902752120848936518093732189590040916514983573760391205749664148620349348509971838102255082110095841<190>

20590143843069744782418277750777350861989008376065319<53>
244415863130660616503139212704744013847365075092357591199801868521152996462299713374408890731551266848037068125989145637703510682343603639<138>

Number: n
N=5032557779388349128608319530343046940889127203741604519769341273470452719144833676170242218902752120848936518093732189590040916514983573760391205749664148620349348509971838102255082110095841
  ( 190 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sat May 22 09:35:18 2021  p53 factor: 20590143843069744782418277750777350861989008376065319
Sat May 22 09:35:18 2021  p138 factor: 244415863130660616503139212704744013847365075092357591199801868521152996462299713374408890731551266848037068125989145637703510682343603639
Sat May 22 09:35:18 2021  elapsed time 01:37:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 4x10^202-31 = 4(201)1
#
n: 5032557779388349128608319530343046940889127203741604519769341273470452719144833676170242218902752120848936518093732189590040916514983573760391205749664148620349348509971838102255082110095841
m: 10000000000000000000000000000000000000000
deg: 5
c5: 400
c0: -31
skew: 0.60
# Murphy_E = 1.188e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 28350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8029296 hash collisions in 57725824 relations (51926345 unique)
Msieve: matrix is 2024087 x 2024313 (706.0 MB)

Sieving start time : 2021/05/21 21:46:27
Sieving end time  : 2021/05/22 07:56:48

Total sieving time: 10hrs 10min 21secs.

Total relation processing time: 1hrs 19min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118236] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.153532] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.152048] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

396561996696316222382591278976268740236120533879201708965728189924013371635475150518267185529579649467275945940885994209572747365224321592394895376589508267807215371<165>

378373842756950963739273024458008445513467<42>
13910910587117057581200498984652218498885655379789<50>
75341528665345407984015731376254812167927331224550312861999807881885190517<74>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=43763165
Step 1 took 236447ms
Step 2 took 71428ms
********** Factor found in step 2: 378373842756950963739273024458008445513467
Found probable prime factor of 42 digits: 378373842756950963739273024458008445513467
Composite cofactor 1048069268760336713046192156364105884217089722141717838165410284059680687271727856050073233831849866491117647526628256260913 has 124 digits

N = 1048069268760336713046192156364105884217089722141717838165410284059680687271727856050073233831849866491117647526628256260913 (124 digits)
Divisors found:
r1=13910910587117057581200498984652218498885655379789 (pp50)
r2=75341528665345407984015731376254812167927331224550312861999807881885190517 (pp74)
Version: Msieve v. 1.52 (SVN exported)
Total time: 7.21 hours.
Factorization parameters were as follows:
n: 1048069268760336713046192156364105884217089722141717838165410284059680687271727856050073233831849866491117647526628256260913
skew: 124318.00
c0: 6736586872491261017368738281
c1: -9267492190243103142246243
c2: -292967043651145579891
c3: 740445417764459
c4: 4149444858
c5: 21672
Y0: -545629792349910597965890
Y1: 4049668944763
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 600000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 12313246
Relations: 1257586 relations
Pruned matrix : 772936 x 773162
Polynomial selection time: 0.00 hours.
Total sieving time: 6.59 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.31 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,123,5,65,2000,1e-05,0.28,250,20,50000,3600,6700000,6700000,27,27,54,54,2.5,2.5,600000
total time: 7.21 hours.

174448337694600117058130599826367232607109897383347311704366705492208477762743957065803304121769695492103195055703325071302987493251009491454492370184740892064416796696312103126569<180>

23023165148632488316344476018180809<35>

7577078849428392382126620030728870484297301588376182028687674625877644930425379164051925179212803552971622562701658089090470826564334169117292641<145>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2827681290
Step 1 took 9844ms
Step 2 took 5585ms
********** Factor found in step 2: 23023165148632488316344476018180809
Found probable prime factor of 35 digits: 23023165148632488316344476018180809
Composite cofactor 7577078849428392382126620030728870484297301588376182028687674625877644930425379164051925179212803552971622562701658089090470826564334169117292641 has 145 digits

GMP-ECM 6.3

7577078849428392382126620030728870484297301588376182028687674625877644930425379164051925179212803552971622562701658089090470826564334169117292641<145>

4423626530877786306574044954558066259078121823896738222009<58>
1712865857128509035264557090504874289346832706892117945305572007510963510177218273423849<88>

7577078849428392382126620030728870484297301588376182028687674625877644930425379164051925179212803552971622562701658089090470826564334169117292641=4423626530877786306574044954558066259078121823896738222009*1712865857128509035264557090504874289346832706892117945305572007510963510177218273423849

n: 7577078849428392382126620030728870484297301588376182028687674625877644930425379164051925179212803552971622562701658089090470826564334169117292641
skew: 276657.291
c0: -593601843943802241979429071798498
c1: 25752904225489638483527110769
c2: -128087550636591140233536
c3: -816550998283481681
c4: 546208897122
c5: 1852200
Y0: -9403770480704232078874349768
Y1: 42634457205508277083
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.768e-07
# f(x) = 1852200*x^5+546208897122*x^4-816550998283481681*x^3-128087550636591140233536*x^2+25752904225489638483527110769*x-593601843943802241979429071798498
# g(x) = 42634457205508277083*x-9403770480704232078874349768

Info:Square Root: Factors: 1712865857128509035264557090504874289346832706892117945305572007510963510177218273423849 4423626530877786306574044954558066259078121823896738222009
Info:Square Root: Total cpu/real time for sqrt: 3285.15/1018.07
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78316/43.290/52.216/58.000/0.903
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 64194/41.510/46.776/52.950/1.164
Info:Polynomial Selection (size optimized): Total time: 41299.7
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5640.12
Info:Polynomial Selection (root optimized): Rootsieve time: 5637.29
Info:Generate Factor Base: Total cpu/real time for makefb: 18.25/4.85679
Info:Generate Free Relations: Total cpu/real time for freerel: 468.95/118.474
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49170351
Info:Lattice Sieving: Average J: 3800.22 for 1189886 special-q, max bucket fill -bkmult 1.0,1s:1.191350
Info:Lattice Sieving: Total time: 858964s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.73/158.786
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 158.39999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 959.66/687.457
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 587.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 828.53/613.977
Info:Filtering - Merging: Total cpu/real time for merge: 520.21/150.943
Info:Filtering - Merging: Total cpu/real time for replay: 149.14/128.578
Info:Linear Algebra: Total cpu/real time for bwc: 227167/58401.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 37380.17, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (110080 iterations)
Info:Linear Algebra: Lingen CPU time 784.68, WCT time 226.26
Info:Linear Algebra: Mksol: WCT time 20332.52, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55296 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 142.68/58.1449
Info:Square Root: Total cpu/real time for sqrt: 3285.15/1018.07
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.12408e+06/515.554
1712865857128509035264557090504874289346832706892117945305572007510963510177218273423849 4423626530877786306574044954558066259078121823896738222009

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9]
(4 processeurs)

1668870728788303155425701321640867821629796068469663194238173803324065480757194454815798851090109308395797875756770071808721519852101<133>

1669398335035273998210407386924237<34>
999683954251122638991055565903194341402954262310190931697014568721418437631355947615811301879024473<99>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=857390099
Step 1 took 5460ms
Step 2 took 4446ms
********** Factor found in step 2: 1669398335035273998210407386924237
Found probable prime factor of 34 digits: 1669398335035273998210407386924237
Probable prime cofactor 999683954251122638991055565903194341402954262310190931697014568721418437631355947615811301879024473 has 99 digits

GMP-ECM 6.3

6735744211942023012398495562747652306328318007649441876614011200960310833439311289954521233858010818252227<106>

22079530082929400098151401821703871<35>
305067371753065798202996647556618628129713055075750334182363345091479037<72>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=143026432
Step 1 took 14609ms
Step 2 took 7234ms
********** Factor found in step 2: 22079530082929400098151401821703871
Found probable prime factor of 35 digits: 22079530082929400098151401821703871
Probable prime cofactor 305067371753065798202996647556618628129713055075750334182363345091479037 has 72 digits

GMP-ECM 6.3

18822395988316524662950730023252501241948121260978934376450851674627922808873726376553487588495536796552654386770653212399256474115399746053155543399043439341118058631226000548718127993491<188>

204478326328705940722711659028118753721558487<45>
92050812065328018622020346308708609916832388089192768783368690296609408087501298735923598754934437933795664182149265773167571623648487967926693<143>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2058624989
Step 1 took 338067ms
Step 2 took 81882ms
********** Factor found in step 2: 204478326328705940722711659028118753721558487
Found probable prime factor of 45 digits: 204478326328705940722711659028118753721558487

42939600832543301223961153219854675213879007345601852121919117698376503040343029051640739195245542523410734028451172296775048273425396088277784576637256646774250068102917330027825617515011<188>

215813803721873570556805552292553165035465385705435969883832571883630672500882173880082762854477670833684829852702615203154324835136573476447842404903536758268625683429499680485423105577626033<192>

16109664867795777805656624581<29>
13396542106428221805414266952590428088307277957239557102538214824644724987004796726127642365487600701617274946809544670865311331097308420403521738171394239434340093<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3672079294
Step 1 took 10358ms
Step 2 took 6568ms
********** Factor found in step 2: 16109664867795777805656624581
Found probable prime factor of 29 digits: 16109664867795777805656624581
Probable prime cofactor 13396542106428221805414266952590428088307277957239557102538214824644724987004796726127642365487600701617274946809544670865311331097308420403521738171394239434340093 has 164 digits

GMP-ECM 6.3

4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<214>

17761003519120346268648429523083679<35>
250236110795194841165390557400299677911161868948255058409176190380943103946880094786822488618192941824436973952265452845655049785860126616977517961169975024085087217654030404062279<180>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=743871688
Step 1 took 13931ms
Step 2 took 7800ms
********** Factor found in step 2: 17761003519120346268648429523083679
Found probable prime factor of 35 digits: 17761003519120346268648429523083679
Probable prime cofactor 250236110795194841165390557400299677911161868948255058409176190380943103946880094786822488618192941824436973952265452845655049785860126616977517961169975024085087217654030404062279 has 180 digits

GMP-ECM 6.3

16684462077721758353439657770806237560884709360198230338363213805831191822142859799324774997177954415688685722577424500098324405876939763201138725286589159589048540780707493495701871<182>

256755889338211695230759355542717761088644970794017587778419667501123307015854676166634572180499390204762821747223826946530586045317414468194364208229026253289684832145837345144104242891071313948263688298350343411<213>

124929628224454430628920499318906982923302714967048263837524153069221228576501610614793<87>
2055204141622130018643494815104445250506033900762458220689528851868861218931709027457927123992322467168577410416327505927808027<127>

Number: n
N=256755889338211695230759355542717761088644970794017587778419667501123307015854676166634572180499390204762821747223826946530586045317414468194364208229026253289684832145837345144104242891071313948263688298350343411
  ( 213 digits)
SNFS difficulty: 216 digits.
Divisors found:

Sun Oct 22 08:07:27 2017  p87 factor: 124929628224454430628920499318906982923302714967048263837524153069221228576501610614793
Sun Oct 22 08:07:27 2017  p127 factor: 2055204141622130018643494815104445250506033900762458220689528851868861218931709027457927123992322467168577410416327505927808027
Sun Oct 22 08:07:27 2017  elapsed time 05:02:57 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.115).
Factorization parameters were as follows:
#
# 4x10^216-31 4(215)1
#
n: 256755889338211695230759355542717761088644970794017587778419667501123307015854676166634572180499390204762821747223826946530586045317414468194364208229026253289684832145837345144104242891071313948263688298350343411
m: 1000000000000000000000000000000000000
deg: 6
c6: 4
c0: -31
skew: 1.41
# Murphy_E = 3.954e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 51300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11958482 hash collisions in 67150067 relations (57567346 unique)
Msieve: matrix is 3642446 x 3642671 (1031.5 MB)

Sieving start time: 2017/10/20 22:27:12
Sieving end time  : 2017/10/22 02:57:00

Total sieving time: 28hrs 29min 48secs.

Total relation processing time: 4hrs 37min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 8sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

32531489521971982567968460361005188395111042283008776394241872662938796472272303301240140499312806274091525287139990335682847497639380356304897801308919053241970664831013812345843847644613<188>

1267923009568002332401369372868116938761<40>

25657306694872490102546610101391326041852630617009195400004557337143502505749574543559387110215448811789752792514993467256356300767628129163588685533<149>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2070834643
Step 1 took 346054ms
Step 2 took 81739ms
********** Factor found in step 2: 1267923009568002332401369372868116938761
Found probable prime factor of 40 digits: 1267923009568002332401369372868116938761

25657306694872490102546610101391326041852630617009195400004557337143502505749574543559387110215448811789752792514993467256356300767628129163588685533<149>

611363909040832127705035032464520442182221<42>
41967323087694525662278507344408324790670584283439257252739267848134295373369897255328112051221048715595473<107>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3727982163
Step 1 took 251117ms
Step 2 took 69426ms
********** Factor found in step 2: 611363909040832127705035032464520442182221
Found probable prime factor of 42 digits: 611363909040832127705035032464520442182221
Probable prime cofactor 41967323087694525662278507344408324790670584283439257252739267848134295373369897255328112051221048715595473 has 107 digits

721533593355246208838202073744440092010442290989598916380334776800534640304359446460621011764076077947164899990008094037031395345412333190275760561382862325781852788687<168>

2703734204621538042037523544641754567044948221119582067667070173385034429632710600555310878643666983926498141750902203586254760845704793332343170587855496553652292613876958358941842122951740529<193>

12925849370602602642316574372040192943<38>

209172652960869994159844945050867385231995713747406901456862504937006679907710107958068706052596594894456394406069363105448027708374245796405393251957991903<156>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1640894398
Step 1 took 23277ms
********** Factor found in step 1: 12925849370602602642316574372040192943
Found probable prime factor of 38 digits: 12925849370602602642316574372040192943

209172652960869994159844945050867385231995713747406901456862504937006679907710107958068706052596594894456394406069363105448027708374245796405393251957991903<156>

1626362027104142783312208720069734471685841146690733933<55>
128613832267909801422715618274885353988253928527487888191493510909233331293474811992083156630914788091<102>

Number: 44441_219
N = 209172652960869994159844945050867385231995713747406901456862504937006679907710107958068706052596594894456394406069363105448027708374245796405393251957991903 (156 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1626362027104142783312208720069734471685841146690733933 (pp55)
r2=128613832267909801422715618274885353988253928527487888191493510909233331293474811992083156630914788091 (pp102)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 70.64 hours.
Factorization parameters were as follows:
n: 209172652960869994159844945050867385231995713747406901456862504937006679907710107958068706052596594894456394406069363105448027708374245796405393251957991903
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2
c0: -155
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 6972214 relations
Pruned matrix : 6328508 x 6328733
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 34.68 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 35.38 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 70.64 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, msieve

313874886052038676894771084116960260294790152498705418404187837410022333061876203060691760841520292594297389383232193813976740839559919901<138>

23844194190556803121246077710884460677762350205358784245071<59>
13163576992521933329321363620586628577186434670993729864892266388029575596363731<80>

Number: 44441_221
N = 313874886052038676894771084116960260294790152498705418404187837410022333061876203060691760841520292594297389383232193813976740839559919901 (138 digits)
Divisors found:
r1=23844194190556803121246077710884460677762350205358784245071 (pp59)
r2=13163576992521933329321363620586628577186434670993729864892266388029575596363731 (pp80)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 249.50 hours.
Factorization parameters were as follows:
# Murphy_E = 3.213e-11, selected by Erik Branger
n: 313874886052038676894771084116960260294790152498705418404187837410022333061876203060691760841520292594297389383232193813976740839559919901
Y0: -391059059783464122354787418
Y1: 1437375233310257
c0: -2172389570308243814461030478346075
c1: -8199112647584582312422968666
c2: 75727408771834821721899
c3: 14708205916824592
c4: -53104089110
c5: 34320
skew: 759535.61
type: gnfs
# selected mechanically
rlim: 15600000
alim: 15600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [7800000, 18700000)
Relations: 22637401
Relations in full relation-set: 3758210 relations
Pruned matrix : 2290323 x 2290553
Polynomial selection time: 0.00 hours.
Total sieving time: 244.06 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.79 hours.
time per square root: 0.51 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15600000,15600000,28,28,55,55,2.6,2.6,100000
total time: 249.50 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1116887303980513251434854878486681549579001140719826635082801379292063103234114502989144034862623270175896045582654809106260472514694512600871609446909267417756263787708369879536723242250799<190>

1948589697625059069002595136520422346031390019770262423<55>
573177260118831269203575134550142552045946161407960312833109600070708605451664080150764349877749518723386323931037137209767987464739113<135>

Number: 44441_222
N = 1116887303980513251434854878486681549579001140719826635082801379292063103234114502989144034862623270175896045582654809106260472514694512600871609446909267417756263787708369879536723242250799 (190 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1948589697625059069002595136520422346031390019770262423 (pp55)
r2=573177260118831269203575134550142552045946161407960312833109600070708605451664080150764349877749518723386323931037137209767987464739113 (pp135)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.69 hours.
Factorization parameters were as follows:
n: 1116887303980513251434854878486681549579001140719826635082801379292063103234114502989144034862623270175896045582654809106260472514694512600871609446909267417756263787708369879536723242250799
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 400
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33148225
Relations: 8234044 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.99 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 7193901 x 7194126
Matrix solve time: 21.83 hours.
time per square root: 1.50 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 49.69 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

767713457400818186778657634978468420481190127826785725972780757753526861228672032484720151075260428077407703424921356872886592811480494521855871279634195285536913745454584538139649496198599640752326176574133587861053<216>

82986284997948397903686187343119883179314059<44>
9251088386711102191235798775739202961812868751107742277460881910277976556718878306627561109890499638947841447485682426861355089750593190467547271146110100310205474121274967<172>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=122332367
Step 1 took 507772ms
Step 2 took 140698ms
********** Factor found in step 2: 82986284997948397903686187343119883179314059
Found probable prime factor of 44 digits: 82986284997948397903686187343119883179314059
Probable prime cofactor 9251088386711102191235798775739202961812868751107742277460881910277976556718878306627561109890499638947841447485682426861355089750593190467547271146110100310205474121274967 has 172 digits

60953774906952494055244119320736449338037304251476113862293994541425077509510533475098111180528109933519357991176010318263801751573097661777539249230007072326760133034564872252397596970733120171<194>

957429170309886914388962799703166576069708908626580182267685980692854235046165079910512046515892178025620793966006226111726381272152156729361536420880483868105910295544203744580700350036431698869334387649869227<210>

1533325285965344588599544997753084015279773123457631608386060172245214952940639090111153529213196250979544665164559886062925822734508058809948188075838322087993574346194887027355903898395370819<193>

2842113820164267499838017275462012779181107002906636909166546782753089862658189124300466084640124833596900311088541885265186662894897415926667267631633940401029507415419563109268824511742431275041109932983879807518125740757<223>

21164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021<230>

849359719208022742131608130308670215576451059945433244318198922565423933074989268546972393314719632458893533<108>
24917618160365964758044213671670846953933788117571429571723851655142130002553232973910396914207594960252578791993591750137<122>

Number: n
N=21164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021
  ( 230 digits)
SNFS difficulty: 231 digits.
Divisors found:

Tue Jan  1 20:45:46 2019  p108 factor: 849359719208022742131608130308670215576451059945433244318198922565423933074989268546972393314719632458893533
Tue Jan  1 20:45:46 2019  p122 factor: 24917618160365964758044213671670846953933788117571429571723851655142130002553232973910396914207594960252578791993591750137
Tue Jan  1 20:45:46 2019  elapsed time 20:03:26 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.127).
Factorization parameters were as follows:
#
# N = 4x10^231-31 = 4(230)1
#
n: 21164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021
m: 200000000000000000000000000000000000000
deg: 6
c6: 125
c0: -62
skew: 0.89
# Murphy_E = 1.169e-12
type: snfs
lss: 1
rlim: 51000000
alim: 51000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 51000000/51000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 94300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 19756154 hash collisions in 114477908 relations (97509867 unique)
Msieve: matrix is 6238845 x 6239070 (2210.5 MB)

Sieving start time: 2018/12/30 01:08:59
Sieving end time  : 2019/01/01 00:38:42

Total sieving time: 47hrs 29min 43secs.

Total relation processing time: 19hrs 10min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 3sec.

Prototype def-par.txt line would be:
snfs,231,6,0,0,0,0,0,0,0,0,51000000,51000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285120K/16703460K available (12300K kernel code, 2472K rwdata, 4252K rodata, 2408K init, 2416K bss, 418340K reserved, 0K cma-reserved)
[    0.080545] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.82 BogoMIPS (lpj=11977644)
[    0.078213] smpboot: Total of 16 processors activated (95821.15 BogoMIPS)

16173026883231343142960178837740739570512527056733981974581135352144678838096645035162274264238983851693500162383844035619951745266470045114384062515868135187916567772857666642233641427<185>

54846887307273206907173362483452024230244037<44>

294875929651647696963445513174654319948387963111504370220228619230620537057509582835301361216543998852482157621479806087465752461799605100471<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4183363372
Step 1 took 23275ms
Step 2 took 9228ms
********** Factor found in step 2: 54846887307273206907173362483452024230244037
Found probable prime factor of 44 digits: 54846887307273206907173362483452024230244037

294875929651647696963445513174654319948387963111504370220228619230620537057509582835301361216543998852482157621479806087465752461799605100471<141>

123361475939220819489214364475009493955653607547227745403520989049579<69>
2390340480337075672636169475837930221520797218173525978580485388043950949<73>

03/11/14 18:53:36 v1.34.3, 
03/11/14 18:53:36 v1.34.3, ****************************
03/11/14 18:53:36 v1.34.3, Starting factorization of 294875929651647696963445513174654319948387963111504370220228619230620537057509582835301361216543998852482157621479806087465752461799605100471
03/11/14 18:53:36 v1.34.3, using pretesting plan: none
03/11/14 18:53:36 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/11/14 18:53:36 v1.34.3, ****************************
03/11/14 18:53:36 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C141
03/11/14 18:53:36 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C141
03/11/14 18:53:36 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C141
03/11/14 18:53:36 v1.34.3, final ECM pretested depth: 0.00
03/11/14 18:53:36 v1.34.3, scheduler: switching to sieve method
03/11/14 18:53:36 v1.34.3, nfs: commencing nfs on c141: 294875929651647696963445513174654319948387963111504370220228619230620537057509582835301361216543998852482157621479806087465752461799605100471
03/11/14 18:53:36 v1.34.3, nfs: commencing poly selection with 8 threads
03/11/14 18:53:36 v1.34.3, nfs: setting deadline of 29812 seconds
03/12/14 03:23:31 v1.34.3, nfs: completed 1144 ranges of size 250 in 30594.9306 seconds
03/12/14 03:23:31 v1.34.3, nfs: best poly = # norm 2.038251e-13 alpha -6.622338 e 2.284e-11 rroots 5
03/12/14 03:23:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/12/14 03:58:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
[71 lines snipped]
03/13/14 23:38:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/14/14 00:17:06 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/14/14 00:56:00 v1.34.3, nfs: commencing msieve filtering
03/14/14 01:00:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/14/14 01:39:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/14/14 02:18:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/14/14 02:58:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/14/14 03:37:35 v1.34.3, nfs: commencing msieve filtering
03/14/14 03:44:17 v1.34.3, nfs: commencing msieve linear algebra
03/14/14 07:37:40 v1.34.3, nfs: commencing msieve sqrt
03/14/14 07:45:00 v1.34.3, prp73 = 2390340480337075672636169475837930221520797218173525978580485388043950949
03/14/14 07:45:00 v1.34.3, prp69 = 123361475939220819489214364475009493955653607547227745403520989049579
03/14/14 07:45:00 v1.34.3, NFS elapsed time = 219083.6684 seconds.
03/14/14 07:45:00 v1.34.3, 
03/14/14 07:45:00 v1.34.3, 
03/14/14 07:45:00 v1.34.3, Total factoring time = 219083.6985 seconds
--
Fri Mar 14 00:56:00 2014  
Fri Mar 14 00:56:00 2014  commencing relation filtering
Fri Mar 14 00:56:00 2014  estimated available RAM is 15988.7 MB
Fri Mar 14 00:56:00 2014  commencing duplicate removal, pass 1
Fri Mar 14 00:57:28 2014  found 2718708 hash collisions in 21215341 relations
Fri Mar 14 00:57:53 2014  added 121995 free relations
Fri Mar 14 00:57:53 2014  commencing duplicate removal, pass 2
Fri Mar 14 00:58:16 2014  found 1669691 duplicates and 19667645 unique relations
Fri Mar 14 00:58:16 2014  memory use: 82.6 MB
Fri Mar 14 00:58:16 2014  reading ideals above 720000
Fri Mar 14 00:58:16 2014  commencing singleton removal, initial pass
Fri Mar 14 01:00:14 2014  memory use: 689.0 MB
Fri Mar 14 01:00:14 2014  reading all ideals from disk
Fri Mar 14 01:00:14 2014  memory use: 648.2 MB
Fri Mar 14 01:00:15 2014  keeping 21959071 ideals with weight <= 200, target excess is 123486
Fri Mar 14 01:00:17 2014  commencing in-memory singleton removal
Fri Mar 14 01:00:19 2014  begin with 19667645 relations and 21959071 unique ideals
Fri Mar 14 01:00:35 2014  reduce to 7196812 relations and 7373589 ideals in 24 passes
Fri Mar 14 01:00:35 2014  max relations containing the same ideal: 99
Fri Mar 14 03:37:35 2014  
Fri Mar 14 03:37:35 2014  commencing relation filtering
Fri Mar 14 03:37:35 2014  estimated available RAM is 15988.7 MB
Fri Mar 14 03:37:35 2014  commencing duplicate removal, pass 1
Fri Mar 14 03:39:08 2014  found 2982932 hash collisions in 22466889 relations
Fri Mar 14 03:39:33 2014  added 109 free relations
Fri Mar 14 03:39:33 2014  commencing duplicate removal, pass 2
Fri Mar 14 03:39:57 2014  found 1826546 duplicates and 20640452 unique relations
Fri Mar 14 03:39:57 2014  memory use: 82.6 MB
Fri Mar 14 03:39:57 2014  reading ideals above 720000
Fri Mar 14 03:39:57 2014  commencing singleton removal, initial pass
Fri Mar 14 03:42:00 2014  memory use: 689.0 MB
Fri Mar 14 03:42:01 2014  reading all ideals from disk
Fri Mar 14 03:42:01 2014  memory use: 680.6 MB
Fri Mar 14 03:42:02 2014  keeping 22342262 ideals with weight <= 200, target excess is 126831
Fri Mar 14 03:42:04 2014  commencing in-memory singleton removal
Fri Mar 14 03:42:06 2014  begin with 20640452 relations and 22342262 unique ideals
Fri Mar 14 03:42:23 2014  reduce to 8674305 relations and 8477785 ideals in 19 passes
Fri Mar 14 03:42:23 2014  max relations containing the same ideal: 114
Fri Mar 14 03:42:27 2014  removing 393268 relations and 368570 ideals in 24698 cliques
Fri Mar 14 03:42:27 2014  commencing in-memory singleton removal
Fri Mar 14 03:42:28 2014  begin with 8281037 relations and 8477785 unique ideals
Fri Mar 14 03:42:34 2014  reduce to 8265340 relations and 8093433 ideals in 9 passes
Fri Mar 14 03:42:34 2014  max relations containing the same ideal: 113
Fri Mar 14 03:42:38 2014  removing 284325 relations and 259627 ideals in 24698 cliques
Fri Mar 14 03:42:38 2014  commencing in-memory singleton removal
Fri Mar 14 03:42:38 2014  begin with 7981015 relations and 8093433 unique ideals
Fri Mar 14 03:42:43 2014  reduce to 7972212 relations and 7824967 ideals in 7 passes
Fri Mar 14 03:42:43 2014  max relations containing the same ideal: 108
Fri Mar 14 03:42:47 2014  relations with 0 large ideals: 480
Fri Mar 14 03:42:47 2014  relations with 1 large ideals: 771
Fri Mar 14 03:42:47 2014  relations with 2 large ideals: 14036
Fri Mar 14 03:42:47 2014  relations with 3 large ideals: 117651
Fri Mar 14 03:42:47 2014  relations with 4 large ideals: 530977
Fri Mar 14 03:42:47 2014  relations with 5 large ideals: 1394231
Fri Mar 14 03:42:47 2014  relations with 6 large ideals: 2209220
Fri Mar 14 03:42:47 2014  relations with 7+ large ideals: 3704846
Fri Mar 14 03:42:47 2014  commencing 2-way merge
Fri Mar 14 03:42:52 2014  reduce to 4570517 relation sets and 4423274 unique ideals
Fri Mar 14 03:42:52 2014  ignored 2 oversize relation sets
Fri Mar 14 03:42:52 2014  commencing full merge
Fri Mar 14 03:43:54 2014  memory use: 506.2 MB
Fri Mar 14 03:43:55 2014  found 2333125 cycles, need 2317474
Fri Mar 14 03:43:55 2014  weight of 2317474 cycles is about 162276676 (70.02/cycle)
Fri Mar 14 03:43:55 2014  distribution of cycle lengths:
Fri Mar 14 03:43:55 2014  1 relations: 327675
Fri Mar 14 03:43:55 2014  2 relations: 308541
Fri Mar 14 03:43:55 2014  3 relations: 299167
Fri Mar 14 03:43:55 2014  4 relations: 257710
Fri Mar 14 03:43:55 2014  5 relations: 211058
Fri Mar 14 03:43:55 2014  6 relations: 178923
Fri Mar 14 03:43:55 2014  7 relations: 144855
Fri Mar 14 03:43:55 2014  8 relations: 115830
Fri Mar 14 03:43:55 2014  9 relations: 92715
Fri Mar 14 03:43:55 2014  10+ relations: 381000
Fri Mar 14 03:43:55 2014  heaviest cycle: 25 relations
Fri Mar 14 03:43:56 2014  commencing cycle optimization
Fri Mar 14 03:43:59 2014  start with 12932234 relations
Fri Mar 14 03:44:13 2014  pruned 236136 relations
Fri Mar 14 03:44:13 2014  memory use: 451.7 MB
Fri Mar 14 03:44:13 2014  distribution of cycle lengths:
Fri Mar 14 03:44:13 2014  1 relations: 327675
Fri Mar 14 03:44:13 2014  2 relations: 315032
Fri Mar 14 03:44:13 2014  3 relations: 308351
Fri Mar 14 03:44:13 2014  4 relations: 261153
Fri Mar 14 03:44:13 2014  5 relations: 213705
Fri Mar 14 03:44:13 2014  6 relations: 178963
Fri Mar 14 03:44:13 2014  7 relations: 143893
Fri Mar 14 03:44:13 2014  8 relations: 113774
Fri Mar 14 03:44:13 2014  9 relations: 90672
Fri Mar 14 03:44:13 2014  10+ relations: 364256
Fri Mar 14 03:44:13 2014  heaviest cycle: 25 relations
Fri Mar 14 03:44:16 2014  RelProcTime: 401
Fri Mar 14 03:44:17 2014  
Fri Mar 14 03:44:17 2014  commencing linear algebra
Fri Mar 14 03:44:17 2014  read 2317474 cycles
Fri Mar 14 03:44:21 2014  cycles contain 7773668 unique relations
Fri Mar 14 03:45:03 2014  read 7773668 relations
Fri Mar 14 03:45:12 2014  using 20 quadratic characters above 268435314
Fri Mar 14 03:45:39 2014  building initial matrix
Fri Mar 14 03:46:43 2014  memory use: 1012.5 MB
Fri Mar 14 03:46:44 2014  read 2317474 cycles
Fri Mar 14 03:46:44 2014  matrix is 2317322 x 2317474 (706.6 MB) with weight 223030223 (96.24/col)
Fri Mar 14 03:46:44 2014  sparse part has weight 157424630 (67.93/col)
Fri Mar 14 03:47:05 2014  filtering completed in 2 passes
Fri Mar 14 03:47:06 2014  matrix is 2312864 x 2313034 (706.2 MB) with weight 222845105 (96.34/col)
Fri Mar 14 03:47:06 2014  sparse part has weight 157377022 (68.04/col)
Fri Mar 14 03:47:14 2014  matrix starts at (0, 0)
Fri Mar 14 03:47:14 2014  matrix is 2312864 x 2313034 (706.2 MB) with weight 222845105 (96.34/col)
Fri Mar 14 03:47:14 2014  sparse part has weight 157377022 (68.04/col)
Fri Mar 14 03:47:14 2014  saving the first 48 matrix rows for later
Fri Mar 14 03:47:15 2014  matrix includes 64 packed rows
Fri Mar 14 03:47:15 2014  matrix is 2312816 x 2313034 (681.5 MB) with weight 178699115 (77.26/col)
Fri Mar 14 03:47:15 2014  sparse part has weight 155509139 (67.23/col)
Fri Mar 14 03:47:15 2014  using block size 65536 for processor cache size 8192 kB
Fri Mar 14 03:47:21 2014  commencing Lanczos iteration (8 threads)
Fri Mar 14 03:47:21 2014  memory use: 664.0 MB
Fri Mar 14 03:47:30 2014  linear algebra at 0.1%, ETA 3h47m
Fri Mar 14 03:47:33 2014  checkpointing every 610000 dimensions
Fri Mar 14 07:37:38 2014  lanczos halted after 36577 iterations (dim = 2312809)
Fri Mar 14 07:37:40 2014  recovered 28 nontrivial dependencies
Fri Mar 14 07:37:40 2014  BLanczosTime: 14003
Fri Mar 14 07:37:40 2014  
Fri Mar 14 07:37:40 2014  commencing square root phase
Fri Mar 14 07:37:40 2014  reading relations for dependency 1
Fri Mar 14 07:37:40 2014  read 1155355 cycles
Fri Mar 14 07:37:41 2014  cycles contain 3886214 unique relations
Fri Mar 14 07:38:08 2014  read 3886214 relations
Fri Mar 14 07:38:21 2014  multiplying 3886214 relations
Fri Mar 14 07:41:22 2014  multiply complete, coefficients have about 188.15 million bits
Fri Mar 14 07:41:23 2014  initial square root is modulo 5650781
Fri Mar 14 07:45:00 2014  sqrtTime: 440
--
n: 294875929651647696963445513174654319948387963111504370220228619230620537057509582835301361216543998852482157621479806087465752461799605100471
skew: 786428.94
c0: -1656317254516958961626669389671219
c1: 17405495440190715398443227936
c2: -17961698562473733359300
c3: -99464862635059532
c4: 7830936891
c5: 30888
Y0: -1570253972643776480419284608
Y1: 433525934571299
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

yafu v1.34.3

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

3126176508131899907995921836636921875572440072943551595690067759565822181914436566537115634473577807458721953180316996960203915322416303270514662503520064969467711186261057956328694221239381497<193>

148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<234>

7952874668940651025915024616603955125835204835696939469891685640272314995566703402543183750269875097697<103>
18628251332405564878105775436874699681690933701438135925294228909117529537227773153459260924887045944380684060264777014119384264851<131>

prp103 factor: 7952874668940651025915024616603955125835204835696939469891685640272314995566703402543183750269875097697
prp131 factor: 18628251332405564878105775436874699681690933701438135925294228909117529537227773153459260924887045944380684060264777014119384264851

ggnfs-lasieve4I14e on the NFS@Home grid + msieve 

51846357605643649863674269219671744105668910566936559767073275989951275439728750304941045299466636689717797715739456321637853124086942788925309203929051674004176202878543950274087<179>

42816716382740595078194276511052945379623<41>

1210890558308738040582583837745583231943114531695786700777913595392422730587684962473119218098260397101600297539548014943412846009219328769<139>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4046061362
Step 1 took 124406ms
Step 2 took 38560ms
********** Factor found in step 2: 42816716382740595078194276511052945379623
Found probable prime factor of 41 digits: 42816716382740595078194276511052945379623

1210890558308738040582583837745583231943114531695786700777913595392422730587684962473119218098260397101600297539548014943412846009219328769<139>

520253916495235989238382573004124775220589445704444751839<57>
2327499168994389053621528528301758757879936883269030958549072970553787470072643871<82>

Number: 44441_235
N = 1210890558308738040582583837745583231943114531695786700777913595392422730587684962473119218098260397101600297539548014943412846009219328769 (139 digits)
Divisors found:
r1=520253916495235989238382573004124775220589445704444751839 (pp57)
r2=2327499168994389053621528528301758757879936883269030958549072970553787470072643871 (pp82)
Version: Msieve v. 1.51 (SVN 845)
Total time: 176.18 hours.
Factorization parameters were as follows:
# Murphy_E = 3.146e-11, selected by Dmitry Domanov
n: 1210890558308738040582583837745583231943114531695786700777913595392422730587684962473119218098260397101600297539548014943412846009219328769
Y0: -303285048925981757643500306
Y1: 201194260505443
c0: 137642829500413862538206313569835
c1: 1276241176199119395664218218
c2: 333701115407058429177
c3: -51218163028386918
c4: -149641986212
c5: 471900
skew: 252059.5
type: gnfs
# selected mechanically
rlim: 17000000
alim: 17000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23131593
Relations: 3666188 relations
Pruned matrix : 2288028 x 2288256
Polynomial selection time: 0.00 hours.
Total sieving time: 170.21 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.17 hours.
time per square root: 1.67 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,17000000,17000000,28,28,55,55,2.6,2.6,100000
total time: 176.18 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

6891061878707667692561056137963126710849933847964425015792974172989666493985231413158579777224084372997836401632290642731763520406074602913282425597711259477055847966833803596965206820155427172480926938727248062725949953703<223>

55104770258516839280555991221067280004705669762244775666723186209195373975445200490531441652758351150853163011208931828971313819742516591709762122921992307595595842726987054133424651515962862071418218357029035862215741046068891<227>

23262972170783995315965451299930414295719127406500020030023451026320653162428006104042105316242830561429586319523955191713577420503594697991020059094827192922898603413655203887925603953104809679630897886775196130611<215>

7290009459570949810211255853702180182851771619830242178870978119322739969082304430966346905163991742584415115606437124279860743979400343249730903425193266306471308774468800566524131125961480031061199405245307241850016828895712301293<232>

22772658556684587112363003381005986897910959135767171266332932748055668190065415816844703922604842630151265809<110>
320121141825624577819384930471636999364471076664351440141722538403873533472250522631475112469069407610228594764515288226077<123>

Number: 44441_240
N = 7290009459570949810211255853702180182851771619830242178870978119322739969082304430966346905163991742584415115606437124279860743979400343249730903425193266306471308774468800566524131125961480031061199405245307241850016828895712301293 (232 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=22772658556684587112363003381005986897910959135767171266332932748055668190065415816844703922604842630151265809 (pp110)
r2=320121141825624577819384930471636999364471076664351440141722538403873533472250522631475112469069407610228594764515288226077 (pp123)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 129.66 hours.
Factorization parameters were as follows:
n: 7290009459570949810211255853702180182851771619830242178870978119322739969082304430966346905163991742584415115606437124279860743979400343249730903425193266306471308774468800566524131125961480031061199405245307241850016828895712301293 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4
c0: -31
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
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: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 0
Relations: 15274964 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.47 hours.
Total relation processing time: 1.54 hours.
Pruned matrix : 12387428 x 12387653
Matrix solve time: 108.11 hours.
time per square root: 0.54 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 129.66 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

9172497552216499234954175722708323108204473084240121536276522631567175107986672500412656719009202825604293219493792849993495365855097331216265843300890716616802039302387930283<175>

597821140036377588090405272055541570068499324877612197336096093460746334798787310738983313067563439072927629079934224287571823438859446071118659437230931723471708149021862699371951957134698345495492819086060344251<213>

4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<244>

3062291596494149031356981413589563302220211201<46>
1451345929803891627526105079329798202260181710377976662020506403489250897792043304040458575190080420197768116855102405388938407289332384925026015841011664104379276543179598490144275910680341469545241<199>

GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Running on work-load-vm052
Input number is 4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441 (244 digits)
[Wed Oct  2 10:15:59 2013]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=651641979
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 1776850ms
********** Factor found in step 1: 3062291596494149031356981413589563302220211201
Found probable prime factor of 46 digits: 3062291596494149031356981413589563302220211201
Probable prime cofactor 1451345929803891627526105079329798202260181710377976662020506403489250897792043304040458575190080420197768116855102405388938407289332384925026015841011664104379276543179598490144275910680341469545241 has 199 digits

GMP-ECM

566106362893992337750378229813708548630659471454794284024053859359365734431013570984784476231316720942114209128182048484179450055973766631143492395068647472830432745856455240092784832878325344157286991866466831120565087371440783151542427549<240>

7710504602557931603954437825327135895449300115078985036344148479412553836331971264181493894060426530579422770313231435231823396090736259163682555931590636229818780097015878255174449453286336474750590864434684438474448790005215827<229>

32695626540130990862238359258059<32>

235826788426701929462383717863752233079567248928269096906971700688914527055864781422151782332885506214629934453695887171361618077641221612185444845985237745051476175152958006683957812367061276019353<198>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2296294686
Step 1 took 11637ms
Step 2 took 6677ms
********** Factor found in step 2: 32695626540130990862238359258059
Found probable prime factor of 32 digits: 32695626540130990862238359258059
Composite cofactor 235826788426701929462383717863752233079567248928269096906971700688914527055864781422151782332885506214629934453695887171361618077641221612185444845985237745051476175152958006683957812367061276019353 has 198 digits

GMP-ECM 6.3

5706830693493163157942953254150491914743539357227045794333815249998064279846190285664364303727145544850136287694093759112588756437944600621209126017281389004597792461558769988425731<181>

618929787902614745073488453271844601372921762868246905016079185752770685079877374062113815184355715272745839251590806571315643984225839481216753150227968980605373309893387022642777766176505433308731921235911163633<213>

579267966035626339688436895776837279067486915353738982871775776103509778129006256756373058574267319867038677171573324266109869463550029195241447381362091824872356245142491111937484953805043585481683957845062320453064301116928103200081<234>

681533047917946975035925730895703413392983043611266349596355605076405757545867305131075787720779414494313744340078734544831165058812016850704833018980603886699113737754369163007655125693613591<192>

3077615604001038442162840677079991<34>

221448398894235985190832947010413116018122974859261059885020052440608470465497878938659628181124111236883716195244775387532182588423719341449258623855616829601<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1554361944
Step 1 took 29329ms
********** Factor found in step 1: 3077615604001038442162840677079991
Found probable prime factor of 34 digits: 3077615604001038442162840677079991

221448398894235985190832947010413116018122974859261059885020052440608470465497878938659628181124111236883716195244775387532182588423719341449258623855616829601<159>

12528383237451034351174775218618460389<38>
17675736341801979386430218632364341196005136205015466478856326967992950707553433421336126334047746174180882681534983024909<122>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=83486939
Step 1 took 40901ms
Step 2 took 21506ms
********** Factor found in step 2: 12528383237451034351174775218618460389
Found probable prime factor of 38 digits: 12528383237451034351174775218618460389
Probable prime cofactor 

44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<254>

2200171098558421920797305698575657147<37>
20200449171232623299043255106491856383335886312952212435360466442451509763221754001599698014637426579140439109256668036022524298682418381059204428211385513261571164411351764409544103132531405137069222879239526021459003<218>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1766484578
Step 1 took 23893ms
Step 2 took 13765ms
********** Factor found in step 2: 2200171098558421920797305698575657147
Found probable prime factor of 37 digits: 2200171098558421920797305698575657147
Probable prime cofactor 

59282972448238554681131711944036874008862804381011663924829190935633512664324989254961243756761964044877210143316585893616705941635913624709142916425829591095697538274569086894016866005661523868806781972048078490655521467846397818386613904821187734353<251>

26385952367582075834050862302954815086555516813419569074081818085066614748150034093261854905362693005357324641648405139368225278451906541015444635929597845454108656620791474409730643357884735650447340744317151210111681<218>

511675563199183005371806502534482819<36>
51567739922163643402533610314749892486924127566342084280269066619383986915055750527660920163594078456342446907506949108179483202813598616679741552090297891718359452469945086641115499<182>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 26385952367582075834050862302954815086555516813419569074081818085066614748150034093261854905362693005357324641648405139368225278451906541015444635929597845454108656620791474409730643357884735650447340744317151210111681 (218 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=112332630
Step 1 took 6240ms
Step 2 took 3229ms
********** Factor found in step 2: 511675563199183005371806502534482819
Found probable prime factor of 36 digits: 511675563199183005371806502534482819
Probable prime cofactor 51567739922163643402533610314749892486924127566342084280269066619383986915055750527660920163594078456342446907506949108179483202813598616679741552090297891718359452469945086641115499 has 182 digits

1264422356623301187199879099980411221135043746600072993016350974749090090140641354172117611202669040323766395464793156634905170493318121965700671599293974499795629992023824627899047941206178656365319102312815277056650048556457976004216729703637186869<250>

630921903365787642855242760824561<33>
2004086955735678340500386913310933624882003137885529061788074671858314172300643062042891367628838191901945028111072583526238195144029434993360322786421939198825627319372772384990764437643974660777400611083951414058629<217>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2765895374
Step 1 took 32744ms
Step 2 took 10988ms
********** Factor found in step 2: 630921903365787642855242760824561
Found probable prime factor of 33 digits: 630921903365787642855242760824561

48988776779985268715291542156081782863658359916772172431049440109492332808867954110145226949481399049546792978136508866722934017091370038348890731653958450719002787534158538296038688459000960373009573298741449146026790445763839769050751309<239>

21164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021<260>

2271851852187759280488103002117259<34>

9315757602609751543119739851978523082575515038983701495506106187388049914458896696764832789010976320483126667813558807591792194002332308566140401621044634095552335365705085904900798545845079182246749404094745988851200398017919<226>

Input number is 21164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021164021 (260 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1682515591
Step 1 took 9547ms
Step 2 took 4820ms
********** Factor found in step 2: 2271851852187759280488103002117259
Found probable prime factor of 34 digits: 2271851852187759280488103002117259
Composite cofactor

GMP-ECM 6.4.4

9315757602609751543119739851978523082575515038983701495506106187388049914458896696764832789010976320483126667813558807591792194002332308566140401621044634095552335365705085904900798545845079182246749404094745988851200398017919<226>

105779475942522783215505655137952560951527<42>

88067723153323610324181913125946372004546671266510200243814185073334377406151615914816178635083890361796717278719881874219279498285683931366025234581559393476180039403927563909046467497<185>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=981890411
Step 1 took 112070ms
Step 2 took 35279ms
********** Factor found in step 2: 105779475942522783215505655137952560951527
Found probable prime factor of 42 digits: 105779475942522783215505655137952560951527

8888130028711388009439373648323234003064418453253795833008102235671407904657732110548805104233183611050730203360138906728999383014252663786011966913430594541716739380640913036343537734940251186862093141651288833<211>

44444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<263>

1706288972846168847192822674515186642279103943309092896711830541724354821271884836264302614823841631455874677563590122738002072704661442609151309953604177384915126595893937064468141928017687721956333913278906111066763088788122948239519173412572513162583<253>