803225903503251375441492928863425757906879320546286373789569303265743856991535394189124497517331138811415542970635781<117>

24501822758582821147734188172261373770858670363<47>
32782291808142593311323070496639770907390327179373591214478907883163487<71>

Number: Job
N=803225903503251375441492928863425757906879320546286373789569303265743856991535394189124497517331138811415542970635781
  ( 117 digits)
Divisors found:
 r1=24501822758582821147734188172261373770858670363 (pp47)
 r2=32782291808142593311323070496639770907390327179373591214478907883163487 (pp71)
Version: GGNFS-0.77.1
Total time: 48.48 hours.
Scaled time: 89.70 units (timescale=1.850).
Factorization parameters were as follows:
name: (73*10^152-1)/9
n: 803225903503251375441492928863425757906879320546286373789569303265743856991535394189124497517331138811415542970635781
skew: 23007.630859
# norm 3.68E+015
c5: 84780
c4: -9423911058
c3: -132469474889920
c2: 4155757346501018329
c1: 27456603732540635947216
c0: -406511063813649227120699245
#alpha -5.050000
Y1: 231241072423
Y0: -24849001857844668661608
# Murphy_E 4.22E-010
# M 187023802232222326968134068717950088092301513770255333477897951266691344534879367302085971353460158407144614502961620
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1750000, 3550001)
Relations: rels:6514381, finalFF:562397
Initial matrix: 500042 x 562397 with sparse part having weight 49028961.
Pruned matrix : 475951 x 478515 with weight 34662345.
Total sieving time: 44.20 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.79 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,49,49,2.4,2.4,100000
total time: 48.48 hours.
 --------- CPU info (if available) ----------

WinXP Pro, Cygwin, AMD 3800+, 4gb DDR, 6-drive SCSI RAID

9012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<154>

93458549042255332010768816824559015680981<41>
96431474395537659290440617511664931557542477458136745046691918305873367117076472604700705384745959369588944243859<113>

Number: 88881-155
N=9012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
  ( 154 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=93458549042255332010768816824559015680981 (pp41)
 r2=96431474395537659290440617511664931557542477458136745046691918305873367117076472604700705384745959369588944243859 (pp113)
Version: GGNFS-0.77.0
Total time: 56.41 hours.
Scaled time: 46.48 units (timescale=0.824).
Factorization parameters were as follows:
n: 9012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
m: 10000000000000000000000000000000
c5: 73
c0: -10
skew: 1
type: snfs
qintsize: 25000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Sieved special-q in [1500000, 2875000)
Relations: rels:5526542, finalFF:505041
Initial matrix: 433502 x 505041 with sparse part having weight 40814331.
Pruned matrix : 418963 x 421194 with weight 26453378.
Total sieving time: 51.15 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 4.69 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 56.41 hours.
 --------- CPU info (if available) ----------

GGNFS 0.77.0

Celeron M 1.50GHz, Windows XP and Cygwin

48660743138931117403363681365899398975704039381650133500834457897155563917113693551241063443598865051121287514059312460533229751601122345218303769<146>

15791022294533422641288302975988124695328339669549748081<56>
3081544831696971298063038747475176795596646326721934407174520528715845529258633313218743849<91>

Number: n
N=48660743138931117403363681365899398975704039381650133500834457897155563917113693551241063443598865051121287514059312460533229751601122345218303769
  ( 146 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=15791022294533422641288302975988124695328339669549748081 (pp56)
 r2=3081544831696971298063038747475176795596646326721934407174520528715845529258633313218743849 (pp91)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 26.00 hours.
Scaled time: 34.22 units (timescale=1.316).
Factorization parameters were as follows:
name: KA_8_1_155
n: 48660743138931117403363681365899398975704039381650133500834457897155563917113693551241063443598865051121287514059312460533229751601122345218303769
skew: 1.0
deg: 5
c5: 73
c0: -1
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1100001)
Primes: RFBsize:216816, AFBsize:217091, largePrimes:6703712 encountered
Relations: rels:6172652, finalFF:490474
Max relations in full relation-set: 48
Initial matrix: 433972 x 490474 with sparse part having weight 32278992.
Pruned matrix : 383630 x 385863 with weight 19757440.
Total sieving time: 22.53 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.22 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 26.00 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

38516231632679209057909219312447870443031509684067141874491405901558633307604267425485343175874835928384687741950678221<119>

709366404715725202134278510977230883791091516457<48>
54296667246476640184537223444832866376469118179207748377776959859458053<71>

Number: 81111_157
N=38516231632679209057909219312447870443031509684067141874491405901558633307604267425485343175874835928384687741950678221
  ( 119 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=709366404715725202134278510977230883791091516457 (pp48)
 r2=54296667246476640184537223444832866376469118179207748377776959859458053 (pp71)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 81.74 hours.
Scaled time: 55.66 units (timescale=0.681).
Factorization parameters were as follows:
name: 81111_157
n: 38516231632679209057909219312447870443031509684067141874491405901558633307604267425485343175874835928384687741950678221
m: 10000000000000000000000000000000
c5: 7300
c0: -1
skew: 0.17
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4000001)
Primes: RFBsize:283146, AFBsize:284167, largePrimes:5778061 encountered
Relations: rels:5850073, finalFF:638910
Max relations in full relation-set: 0
Initial matrix: 567380 x 638910 with sparse part having weight 36945897.
Pruned matrix : 516655 x 519555 with weight 28801074.
Total sieving time: 70.46 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 10.71 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 81.74 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

30572711310047020199673079420220032560072723217483618025140594148989783940701088253778438397676150664410526395099842238233630731543373<134>

212107814191998704725420221052699981457889085100997601<54>
144137600146936537044461384043301075248536512091523845543692062426638973343118573<81>

Number: n
N=30572711310047020199673079420220032560072723217483618025140594148989783940701088253778438397676150664410526395099842238233630731543373
  ( 134 digits)
SNFS difficulty: 159 digits.
Divisors found:

Thu Oct 04 16:13:30 2007  prp54 factor: 212107814191998704725420221052699981457889085100997601
Thu Oct 04 16:13:30 2007  prp81 factor: 144137600146936537044461384043301075248536512091523845543692062426638973343118573
Thu Oct 04 16:13:30 2007  elapsed time 01:50:08 (Msieve 1.26)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 50.48 hours.
Scaled time: 60.38 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_8_1_158
n: 30572711310047020199673079420220032560072723217483618025140594148989783940701088253778438397676150664410526395099842238233630731543373
type: snfs
skew: 0.11
deg: 5
c5: 73000
c0: -1
m: 10000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2100000)
Primes: RFBsize:230209, AFBsize:230497, largePrimes:7060727 encountered
Relations: rels:6539168, finalFF:541829
Max relations in full relation-set: 28
Initial matrix: 460773 x 541829 with sparse part having weight 34927383.
Pruned matrix : 393656 x 396023 with weight 22051476.
Total sieving time: 50.21 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 50.48 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

85435541262993683107759178811222508432637694938946198668249661730703724787996850375797180518678700584591827296195920977054636644636705961<137>

85748085121300963152030695599342054561573492952495448497507158243159<68>
996355092269813964638397829269428609707014906515819237429532829639679<69>

Number: n
N=85435541262993683107759178811222508432637694938946198668249661730703724787996850375797180518678700584591827296195920977054636644636705961
  ( 137 digits)
SNFS difficulty: 161 digits.
Divisors found:

Mon Oct 08 11:11:00 2007  prp68 factor: 85748085121300963152030695599342054561573492952495448497507158243159
Mon Oct 08 11:11:00 2007  prp69 factor: 996355092269813964638397829269428609707014906515819237429532829639679
Mon Oct 08 11:11:01 2007  elapsed time 01:25:31 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 45.89 hours.
Scaled time: 60.85 units (timescale=1.326).
Factorization parameters were as follows:
name: KA_8_1_159
n: 85435541262993683107759178811222508432637694938946198668249661730703724787996850375797180518678700584591827296195920977054636644636705961
skew: 0.67
deg: 5
c5: 73
c0: -10
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2100000)
Primes: RFBsize:250150, AFBsize:250101, largePrimes:7499050 encountered
Relations: rels:7084336, finalFF:634136
Max relations in full relation-set: 28
Initial matrix: 500316 x 634136 with sparse part having weight 48027068.
Pruned matrix : 392586 x 395151 with weight 27479275.
Total sieving time: 45.64 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 45.89 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

293195196143710420631604545613173914028188035172354414497687928953357773201281912052952080614926879909460680811214235894339953893730003460064788025275209177<156>

543595994789336592839503974042022463653<39>
3924592279844824544604200287483373227338892292932056637<55>
137431427308481583890246932087896925834997509780593354650152457<63>

Number: n
N=293195196143710420631604545613173914028188035172354414497687928953357773201281912052952080614926879909460680811214235894339953893730003460064788025275209177
  ( 156 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=543595994789336592839503974042022463653 (pp39)
 r2=3924592279844824544604200287483373227338892292932056637 (pp55)
 r3=137431427308481583890246932087896925834997509780593354650152457 (pp63)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 69.55 hours.
Scaled time: 100.51 units (timescale=1.445).
Factorization parameters were as follows:
name: KA_8_1_162
n: 293195196143710420631604545613173914028188035172354414497687928953357773201281912052952080614926879909460680811214235894339953893730003460064788025275209177
skew: 0.17
deg: 5
c5: 7300
c0: -1
m: 100000000000000000000000000000000
type: snfs
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 3200001)
Primes: RFBsize:250150, AFBsize:251141, largePrimes:7701069 encountered
Relations: rels:7215982, finalFF:564079
Max relations in full relation-set: 28
Initial matrix: 501358 x 564079 with sparse part having weight 45743064.
Pruned matrix : 462725 x 465295 with weight 34374223.
Total sieving time: 62.01 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 7.00 hours.
Total square root time: 0.28 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 69.55 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

9847230936045602785233094889585613069848563625548151842425600774026787507620946164685576203283969203986063171766643656802199995825880290238757413<145>

1043995987473037595727834603195896693955428946648402327832492964027<67>
9432249792339282259291436913130955217924127892296499942188495834211334121986719<79>

Number: n
N=9847230936045602785233094889585613069848563625548151842425600774026787507620946164685576203283969203986063171766643656802199995825880290238757413
  ( 145 digits)
SNFS difficulty: 166 digits.
Divisors found:

Wed Jan 09 19:08:01 2008  prp67 factor: 1043995987473037595727834603195896693955428946648402327832492964027
Wed Jan 09 19:08:01 2008  prp79 factor: 9432249792339282259291436913130955217924127892296499942188495834211334121986719
Wed Jan 09 19:08:01 2008  elapsed time 01:57:05 (Msieve 1.32)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 74.89 hours.
Scaled time: 131.21 units (timescale=1.752).
Factorization parameters were as follows:
name: KA_8_1_164
n: 9847230936045602785233094889585613069848563625548151842425600774026787507620946164685576203283969203986063171766643656802199995825880290238757413
type: snfs
skew: 0.67
deg: 5
c5: 73
c0: -10
m: 1000000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3500269)
Primes: RFBsize:230209, AFBsize:230027, largePrimes:7684684 encountered
Relations: rels:7147678, finalFF:483126
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 74.61 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 74.89 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

74571713822686701323900979192571029758253172648119389362012248244916093237432632041053581859169646820908120119853417013<119>

8223492567479697862048124640209449367402873621875410421<55>
9068131722716584529229143545406928460604605774689721826341970753<64>

Number: 81111_166
N=74571713822686701323900979192571029758253172648119389362012248244916093237432632041053581859169646820908120119853417013
  ( 119 digits)
Divisors found:
 r1=8223492567479697862048124640209449367402873621875410421 (pp55)
 r2=9068131722716584529229143545406928460604605774689721826341970753 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 38.36 hours.
Scaled time: 82.33 units (timescale=2.146).
Factorization parameters were as follows:
name: 81111_166
n: 74571713822686701323900979192571029758253172648119389362012248244916093237432632041053581859169646820908120119853417013
skew: 63934.65
# norm 5.02e+16
c5: 44700
c4: -8672528716
c3: -1167204485490759
c2: -23508456169732693191
c1: 1360412238556341935907211
c0: -4184003940301627376220420525
# alpha -6.83
Y1: 4470191423393
Y0: -69896334002934700208002
# Murphy_E 3.51e-10
# M 46104542136265429012421759151830318936477223069350986501594276445394325180456204984475629741637253392362953793618722669
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4125001)
Primes: RFBsize:315948, AFBsize:316441, largePrimes:7685412 encountered
Relations: rels:7784882, finalFF:771369
Max relations in full relation-set: 28
Initial matrix: 632470 x 771369 with sparse part having weight 64136043.
Pruned matrix : 516540 x 519766 with weight 40029222.
Polynomial selection time: 2.27 hours.
Total sieving time: 34.13 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.63 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,75000
total time: 38.36 hours.
 --------- CPU info (if available) ----------
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 for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406450)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4809.83 BogoMIPS (lpj=2404916)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)

Core 2 Quad Q6600

22116340432437263234522616174772745673162715936815753909512677130417412410570647765225516524183351129966475852264850542873134119180722331295408976273522094059<158>

64098166474883233335412841<26>

345038581425000928450184633893862071554589588600861750152497688160450839810744310320911058217737288283002897503366245665576907950899<132>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=460137404
Step 1 took 41172ms
Step 2 took 11828ms
********** Factor found in step 2: 64098166474883233335412841
Found probable prime factor of 26 digits: 64098166474883233335412841
Composite cofactor 345038581425000928450184633893862071554589588600861750152497688160450839810744310320911058217737288283002897503366245665576907950899 has 132 digits

GMP-ECM 6.2.3

345038581425000928450184633893862071554589588600861750152497688160450839810744310320911058217737288283002897503366245665576907950899<132>

5651544344073065353949288742526199989<37>
460594228426107287120213438958014196056247359<45>
132550700853026894371155963466907255560307901107449<51>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1247506212
Step 1 took 184500ms
Step 2 took 57109ms
********** Factor found in step 2: 5651544344073065353949288742526199989
Found probable prime factor of 37 digits: 5651544344073065353949288742526199989
Composite cofactor 61052087786739683422486377745002538362377897736805318143684633775842372114767648010131181477191 has 95 digits

N=61052087786739683422486377745002538362377897736805318143684633775842372114767648010131181477191
  ( 95 digits)
Divisors found:
 r1=460594228426107287120213438958014196056247359 (pp45)
 r2=132550700853026894371155963466907255560307901107449 (pp51)
Version: Msieve v. 1.41
Total time: 4.57 hours.
Scaled time: 8.99 units (timescale=1.969).
Factorization parameters were as follows:
n:  61052087786739683422486377745002538362377897736805318143684633775842372114767648010131181477191
m:  5723651533996740584386
deg: 4
c4: 56886312
c3: -96342723053
c2: -224961695606516291
c1: 242685027110432538
c0: 144224341387033435142535
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.139
# E(F1,F2) = 3.669255e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1242912454.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1380001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168434 x 168662
Polynomial selection time: 0.17 hours.
Total sieving time: 4.19 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 4.57 hours.
 --------- CPU info (if available) ----------

GMP-ECM 6.2.3/GGNFS/Msieve

27037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<179>

1916119867312670924752148611535640415033386450801802237208935853302075657931<76>
14110305674642407281721016340336939892095295727428257624280415428343597811358551505074904645162638085927<104>

Number: n
N=27037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
  ( 179 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=1916119867312670924752148611535640415033386450801802237208935853302075657931 (pp76)
 r2=14110305674642407281721016340336939892095295727428257624280415428343597811358551505074904645162638085927 (pp104)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 432.02 hours.
Scaled time: 590.57 units (timescale=1.367).
Factorization parameters were as follows:
name: KA_8_1_178
n: 27037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037
skew: 0.11
deg: 5
c5: 73000
c0: -1
m: 100000000000000000000000000000000000
type: snfs
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 17500001)
Primes: RFBsize:380800, AFBsize:380932, largePrimes:10269650 encountered
Relations: rels:10024620, finalFF:853883
Max relations in full relation-set: 28
Initial matrix: 761799 x 853883 with sparse part having weight 106544632.
Pruned matrix : 703884 x 707756 with weight 90829890.
Total sieving time: 405.67 hours.
Total relation processing time: 1.62 hours.
Matrix solve time: 24.13 hours.
Total square root time: 0.60 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,48,48,2.5,2.5,100000
total time: 432.02 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2803899471798383145657951893989173193886332575660929393247857702406010119954579701593585241246632894588631153028286654708219785439228745491654690434228584211741168409284619<172>

47141841003406331455972300887242733651907<41>
59477937477999248614204295322005295328835826506670111421059365117724762292797146126309564949352193967528628063664436708337272494617<131>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2284984890
Step 1 took 165109ms
********** Factor found in step 1: 47141841003406331455972300887242733651907
Found probable prime factor of 41 digits: 47141841003406331455972300887242733651907
Probable prime cofactor 59477937477999248614204295322005295328835826506670111421059365117724762292797146126309564949352193967528628063664436708337272494617 has 131 digits

GMP-ECM 6.2.3

618177979161669692102730643904320204463343437912324242434753924181900115764963555145457246738693218118984013318796679564143913537455020490296708663<147>

20361161670231525367845505082480057<35>
1251616944363009719621705935812728955500311537<46>
24257137178864474300374832376502570787961784406903986047306381280607<68>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=767694175
Step 1 took 135641ms
Step 2 took 38156ms
********** Factor found in step 2: 20361161670231525367845505082480057
Found probable prime factor of 35 digits: 20361161670231525367845505082480057
Composite cofactor 30360643914804711280126537478375872549443004895718960937443150897826484577690408044401934796318699204093516462959 has 113 digits

N=30360643914804711280126537478375872549443004895718960937443150897826484577690408044401934796318699204093516462959
  ( 113 digits)
Divisors found:
r1=1251616944363009719621705935812728955500311537 (pp46)
r2=24257137178864474300374832376502570787961784406903986047306381280607 (pp68)
Version: Msieve v. 1.41
Total time: 17.82 hours.
Scaled time: 35.43 units (timescale=1.988).
Factorization parameters were as follows:
name: 007
n: 30360643914804711280126537478375872549443004895718960937443150897826484577690408044401934796318699204093516462959
skew: 56060.73
# norm 4.56e+015
c5: 5400
c4: 925749786
c3: 139144709401328
c2: -2731545790006531265
c1: -191386617501901718109034
c0: -51794230834906778574463800
# alpha -6.75
Y1: 2605339957
Y0: -5623198788990427023859
# Murphy_E 7.80e-010
# M 26026941765268532581501352771223314519362970659436966324429862456488236216574342368172363669966953696988389310169
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 409831 x 410079
Total sieving time: 17.43 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 17.82 hours.
 --------- CPU info (if available) ----------

GMP-ECM 6.2.3/GGNFS/Msieve

27037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037<188>

2013417203339758754699697149093409802311811<43>
13428432513733026611376469936844319340401408181621142465772463805980046207426301273004696887406182311284638034277950590963617673065257314162498767<146>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 27037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037037 (188 digits)
Using B1=5764000, B2=11416947370, polynomial Dickson(12), sigma=2302872240
Step 1 took 98185ms
Step 2 took 33267ms
********** Factor found in step 2: 2013417203339758754699697149093409802311811
Found probable prime factor of 43 digits: 2013417203339758754699697149093409802311811
Probable prime cofactor 13428432513733026611376469936844319340401408181621142465772463805980046207426301273004696887406182311284638034277950590963617673065257314162498767 has 146 digits

308286528566252406225818555022389925499026056954734848698475116528539734274735050490167406604231189165733008351171956396865083093189561631950012012048848885106966584979550212844269<180>

234454103535237016252918540091141055006742617547811119<54>
1314912061327682535314023136231346559893566159178935752864166118319826746859887192420416772315214150514797650378047618025778851<127>

Number: s188
N=308286528566252406225818555022389925499026056954734848698475116528539734274735050490167406604231189165733008351171956396865083093189561631950012012048848885106966584979550212844269
  ( 180 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=234454103535237016252918540091141055006742617547811119 (pp54)
 r2=1314912061327682535314023136231346559893566159178935752864166118319826746859887192420416772315214150514797650378047618025778851 (pp127)
Version: Msieve-1.40
Total time: 304.78 hours.
Scaled time: 558.96 units (timescale=1.834).
Factorization parameters were as follows:
n: 308286528566252406225818555022389925499026056954734848698475116528539734274735050490167406604231189165733008351171956396865083093189561631950012012048848885106966584979550212844269
m: 10000000000000000000000000000000000000
deg: 5
c5: 73000
c0: -1
skew: 0.11
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5100000, 9900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1756793 x 1757019
Total sieving time: 300.29 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.68 hours.
Time per square root: 0.57 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 304.78 hours.
 --------- CPU info (if available) ----------

6795384400091970143324291362041629942037103182341648313941219412347915695105406242346051974230994379839345554333542443531045393297170937920564387362236239831179219<163>

352770971508535022385843411436127<33>

19262878606573673376074258194783601287435893348319362805902003690630345538687715610774754588966646448026626420304138049204776918797<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3579367891
Step 1 took 40735ms
Step 2 took 12609ms
********** Factor found in step 2: 352770971508535022385843411436127
Found probable prime factor of 33 digits: 352770971508535022385843411436127
Composite cofactor 19262878606573673376074258194783601287435893348319362805902003690630345538687715610774754588966646448026626420304138049204776918797 has 131 digits

GMP-ECM 6.2.3

19262878606573673376074258194783601287435893348319362805902003690630345538687715610774754588966646448026626420304138049204776918797<131>

53018587549308860488727446119008638117<38>
9830729640749698698057713596885562332720579109<46>
36957899619439052588389493711338143513746251349<47>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1641020606
Step 1 took 111219ms
Step 2 took 32437ms
********** Factor found in step 2: 53018587549308860488727446119008638117
Found probable prime factor of 38 digits: 53018587549308860488727446119008638117
Composite cofactor 363323119248671503681840442228888007882580930456529372102126201532931588055727988917152468041 has 93 digits

N=363323119248671503681840442228888007882580930456529372102126201532931588055727988917152468041
  ( 93 digits)
Divisors found:
r1=9830729640749698698057713596885562332720579109 (pp46)
r2=36957899619439052588389493711338143513746251349 (pp47)
Version: Msieve v. 1.41
Total time: 3.56 hours.
Scaled time: 7.03 units (timescale=1.976).
Factorization parameters were as follows:
n:  363323119248671503681840442228888007882580930456529372102126201532931588055727988917152468041
m:  2201437169476072225733
deg: 4
c4: 15469200
c3: 64470243577
c2: -206162652068209327
c1: -157308994180603347
c0: 292072553235282416374746
skew: 1635.250
type: gnfs
# adj. I(F,S) = 54.372
# E(F1,F2) = 6.310444e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1242934815.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 171992 x 172240
Polynomial selection time: 0.17 hours.
Total sieving time: 3.23 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,92,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 3.56 hours.
 --------- CPU info (if available) ----------

GMP-ECM 6.2.3/GGNFS/msieve

477468296709081834097651582405248902003086280459137363170866023181000231743742321394307472546881245367922576801772829466392270442631807157296479290687213<153>

281150019363827276479091879<27>

1698268766936150674397664693080209666761726866084951569803456920236110045824863664598013300791554963893047144133640896867139147<127>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=244186619
Step 1 took 20634ms
********** Factor found in step 1: 281150019363827276479091879
Found probable prime factor of 27 digits: 281150019363827276479091879
Composite cofactor 1698268766936150674397664693080209666761726866084951569803456920236110045824863664598013300791554963893047144133640896867139147 has 127 digits

GMP-ECM 6.2.1

1698268766936150674397664693080209666761726866084951569803456920236110045824863664598013300791554963893047144133640896867139147<127>

8296219599240900750125751408687469456539629<43>
204703931305234648694421978445780610066516435471243580233881603596753881664430161943<84>

Number: 81111_191
N=1698268766936150674397664693080209666761726866084951569803456920236110045824863664598013300791554963893047144133640896867139147
  ( 127 digits)
Divisors found:
 r1=8296219599240900750125751408687469456539629 (pp43)
 r2=204703931305234648694421978445780610066516435471243580233881603596753881664430161943 (pp84)
Version: Msieve-1.40
Total time: 82.49 hours.
Scaled time: 98.90 units (timescale=1.199).
Factorization parameters were as follows:
# Murphy_E = 1.198987e-10, selected by Jeff Gilchrist
n: 1698268766936150674397664693080209666761726866084951569803456920236110045824863664598013300791554963893047144133640896867139147
Y0: -2261958667367251197875751
Y1: 60001258322377
c0: 2341962305287791279333259678400
c1: 122080630732525840746583134
c2: -86882576737734041865
c3: -5644408174244182
c4: 9837347148
c5: 28680
skew: 232490.02
type: gnfs
# selected mechanically
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [3850000, 7750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1177977 x 1178225
Total sieving time: 80.03 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 1.90 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,126,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 82.49 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

8111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<193>

73256271947274662782040893968743123700881<41>

110722411822280385931003784443497819857603220976577157566466357414344260125670777720438670653233237078832661859484778212857408425370362300763453787759831<153>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 8111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (193 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1290718799
Step 1 took 116744ms
Step 2 took 42813ms
********** Factor found in step 2: 73256271947274662782040893968743123700881
Found probable prime factor of 41 digits: 73256271947274662782040893968743123700881
Composite cofactor 110722411822280385931003784443497819857603220976577157566466357414344260125670777720438670653233237078832661859484778212857408425370362300763453787759831 has 153 digits

Core 2 Quad Q6600

110722411822280385931003784443497819857603220976577157566466357414344260125670777720438670653233237078832661859484778212857408425370362300763453787759831<153>

12514183981701174831234244754445618634782464551<47>
267288759821310351191537888363735659318239313283<48>
33101853000094382825599338798034443619214831850089105550107<59>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1770093265
Step 1 took 881297ms
Step 2 took 194656ms
********** Factor found in step 2: 267288759821310351191537888363735659318239313283
Found probable prime factor of 48 digits: 267288759821310351191537888363735659318239313283
Composite cofactor 414242678578408103235078719600045420705685685982987391903794714703925355295201997258318971178094081756957 has 105 digits

N=414242678578408103235078719600045420705685685982987391903794714703925355295201997258318971178094081756957
  ( 105 digits)
Divisors found:
 r1=12514183981701174831234244754445618634782464551 (pp47)
 r2=33101853000094382825599338798034443619214831850089105550107 (pp59)
Version: Msieve v. 1.41
Total time: 8.29 hours.
Scaled time: 16.43 units (timescale=1.982).
Factorization parameters were as follows:
n: 414242678578408103235078719600045420705685685982987391903794714703925355295201997258318971178094081756957
skew: 10245.06
# norm 9.53e+014
c5: 189000
c4: -4228453038
c3: -104481482087957
c2: 329571606307239790
c1: 3722167535783309214524
c0: 192804791565346169927120
# alpha -6.85
Y1: 26624677783
Y0: -73817495856612743163
# Murphy_E 1.91e-009
# M 380244343347328658347174459880259612066021441439257999459704883260043181974659152092827411667820947949767
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 256054 x 256302
Polynomial selection time: 0.74 hours.
Total sieving time: 7.33 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 8.29 hours.
 --------- CPU info (if available) ----------

GMP-ECM 6.2.3/GGNFS/msieve

811111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<195>

306560981981481704619439698696478142677609707817262304366101661349418983307<75>
2645839355903771034479686515433710428643834762960463161678823519151880019097909680932155803208297225177206761675775557173<121>

Number: 81111_194
N=811111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
  ( 195 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=306560981981481704619439698696478142677609707817262304366101661349418983307 (pp75)
 r2=2645839355903771034479686515433710428643834762960463161678823519151880019097909680932155803208297225177206761675775557173 (pp121)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 4907.46 hours.
Scaled time: 9829.64 units (timescale=2.003).
Factorization parameters were as follows:
n: 811111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
m: 1000000000000000000000000000000000000000
c5: 73
c0: -10
skew: 0.67
type: snfsFactor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 86400001)
Primes: RFBsize:501962, AFBsize:502306, largePrimes:9714699 encountered
Relations: rels:11320200, finalFF:1140454
Max relations in full relation-set: 32
Initial matrix: 1004333 x 1140454 with sparse part having weight 216153670.
Pruned matrix : 939585 x 944670 with weight 198992522.
Total sieving time: 4888.56 hours.
Total relation processing time: 0.95 hours.
Matrix solve time: 17.53 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 4907.46 hours.
 --------- CPU info (if available) ----------

1360760785460017619630645762616365627292843255114970820231082280006754495061018947930316644080097044248150189771072944483546326994497417266547884149154987053335268450774764202147<178>

2594559816950732023358967808865860971980421569887691784103<58>
524466915956193984096906146291773759080015670889429215008290511057073913158628411941805827427100161295797695723315203749<120>

Number: s178
N=1360760785460017619630645762616365627292843255114970820231082280006754495061018947930316644080097044248150189771072944483546326994497417266547884149154987053335268450774764202147
  ( 178 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=2594559816950732023358967808865860971980421569887691784103 (pp58)
 r2=524466915956193984096906146291773759080015670889429215008290511057073913158628411941805827427100161295797695723315203749 (pp120)
Version: Msieve-1.40
Total time: 404.88 hours.
Scaled time: 787.89 units (timescale=1.946).
Factorization parameters were as follows:
n: 1360760785460017619630645762616365627292843255114970820231082280006754495061018947930316644080097044248150189771072944483546326994497417266547884149154987053335268450774764202147
m: 1000000000000000000000000000000000000000
deg: 5
c5: 73
c0: -1
skew: 0.42
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6700000, 13000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2186810 x 2187041
Total sieving time: 397.61 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 6.14 hours.
Time per square root: 0.87 hours.
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 404.88 hours.
 --------- CPU info (if available) ----------

7850175269123195448301253573309927081142776276611757749431733259816472066150168760756185733167455784374417966314149917418156025262288823180955399640248438156010450539500339963181<178>

2356059256180297974755710952450611393<37>

3331909097163411490195797154179506593226135680655488427797409658939627839025957996970418820375433315961414173071731590938360326732797877361517<142>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1302500274
Step 1 took 296422ms
********** Factor found in step 1: 2356059256180297974755710952450611393
Found probable prime factor of 37 digits: 2356059256180297974755710952450611393
Composite cofactor 3331909097163411490195797154179506593226135680655488427797409658939627839025957996970418820375433315961414173071731590938360326732797877361517 has 142 digits

GMP-ECM 6.2.3

3331909097163411490195797154179506593226135680655488427797409658939627839025957996970418820375433315961414173071731590938360326732797877361517<142>

762611104538115838295625174690852459537185780082552366819246252713<66>
4369080226259517225258389801662046648450622820650843075008678616261606076709<76>

Number: 81111_199
N=3331909097163411490195797154179506593226135680655488427797409658939627839025957996970418820375433315961414173071731590938360326732797877361517
  ( 142 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=762611104538115838295625174690852459537185780082552366819246252713
 r2=4369080226259517225258389801662046648450622820650843075008678616261606076709
Version: 
Total time: 247.26 hours.
Scaled time: 1299.58 units (timescale=5.256).
Factorization parameters were as follows:
n: 3331909097163411490195797154179506593226135680655488427797409658939627839025957996970418820375433315961414173071731590938360326732797877361517
m: 10000000000000000000000000000000000000000
deg: 5
c5: 73
c0: -10
skew: 0.67
# Murphy_E = 1.377e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 17300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 38660662
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3320994 x 3321236
Total sieving time: 223.94 hours.
Total relation processing time: 2.68 hours.
Matrix solve time: 20.39 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 247.26 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960)
Total of 12 processors activated (81599.04 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

1665525895505361624458133698380104950946840063883185033082363677846224047456080310289755874971480720967373944786675792835957107004334930412959160392425279488934519735341090577230207620351357517681953<199>

116587695911853113400792854475193411<36>

14285606062277732309168156983256445884072165236631874368716790782839231122943523363577821850787245917630279558418605214545784622225512312628692589974007175489848523<164>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]

Input number is 1665525895505361624458133698380104950946840063883185033082363677846224047456080310289755874971480720967373944786675792835957107004334930412959160392425279488934519735341090577230207620351357517681953 (199 digits)

Using B1=63279776, B2=388133141770, polynomial Dickson(30), sigma=2809071956

Step 1 took 2104325ms

Step 2 took 547666ms

********** Factor found in step 2: 116587695911853113400792854475193411

Found probable prime factor of 36 digits: 116587695911853113400792854475193411

Composite cofactor 14285606062277732309168156983256445884072165236631874368716790782839231122943523363577821850787245917630279558418605214545784622225512312628692589974007175489848523 has 164 digits

14285606062277732309168156983256445884072165236631874368716790782839231122943523363577821850787245917630279558418605214545784622225512312628692589974007175489848523<164>

11672983409241212427902446489337<32>
1223817901682972590078897593614104522211348947372894663743325465175996595482769445074246418799630656219168527833192057498271145815779<133>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2963421530
Step 1 took 77103ms
Step 2 took 36914ms
********** Factor found in step 2: 11672983409241212427902446489337
Found probable prime factor of 32 digits: 11672983409241212427902446489337
Probable prime cofactor 1223817901682972590078897593614104522211348947372894663743325465175996595482769445074246418799630656219168527833192057498271145815779 has 133 digits

126863045278721043337773542936030630778772453964030758010047992608063956330701327328577746884550201727340430484567895417980873249130203223254586380939394638076446623725257<171>

272807567720012173868983567585329720758147463731<48>
465027588270289872854705263953702054681595657370682412446652044551041143663232032341068901522111864073636211188504846812947<123>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1550822083
Step 1 took 288593ms
Step 2 took 79572ms
********** Factor found in step 2: 272807567720012173868983567585329720758147463731
Found probable prime factor of 48 digits: 272807567720012173868983567585329720758147463731
Probable prime cofactor 465027588270289872854705263953702054681595657370682412446652044551041143663232032341068901522111864073636211188504846812947 has 123 digits

881414394580735272160009953163371217363061987567378578373310540494983865333535539769619963424118618110455463502645162044195195356498454968820811156598487173<156>

48158071963119055252342244890589685181194000814898417381<56>
18302526630545960094991140224159436657570310407206157285635118392324453649915734010162957380380985633<101>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 881414394580735272160009953163371217363061987567378578373310540494983865333535539769619963424118618110455463502645162044195195356498454968820811156598487173 (156 digits)
Using B1=82210000, B2=582202404430, polynomial Dickson(30), sigma=1:2658598128
Step 1 took 203491ms
Step 2 took 21011ms
********** Factor found in step 2: 48158071963119055252342244890589685181194000814898417381
Found prime factor of 56 digits: 48158071963119055252342244890589685181194000814898417381
Prime cofactor 18302526630545960094991140224159436657570310407206157285635118392324453649915734010162957380380985633 has 101 digits

7580522668234184174219440727831003332535772005419736011078988293239029413258798801628317993045499946804928288981938724676590216949139210368445010378852361871459211914547645236641129924231084021239<196>

96947660150792693775276431312321285636118080736996767<53>
168489181194533329563353768045126688977642748067530660745388813<63>
464076737392571429046242491118584228828971792801309447291202391181431142624036109<81>

Number: n
N=7580522668234184174219440727831003332535772005419736011078988293239029413258798801628317993045499946804928288981938724676590216949139210368445010378852361871459211914547645236641129924231084021239
  ( 196 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon May 10 23:47:48 2021  found factor: 464076737392571429046242491118584228828971792801309447291202391181431142624036109
Mon May 10 23:54:42 2021  p53 factor: 96947660150792693775276431312321285636118080736996767
Mon May 10 23:54:42 2021  p63 factor: 168489181194533329563353768045126688977642748067530660745388813
Mon May 10 23:54:42 2021  p81 factor: 464076737392571429046242491118584228828971792801309447291202391181431142624036109
Mon May 10 23:54:42 2021  elapsed time 02:30:49 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 73x10^204-1 = 81(204)
#
n: 7580522668234184174219440727831003332535772005419736011078988293239029413258798801628317993045499946804928288981938724676590216949139210368445010378852361871459211914547645236641129924231084021239
m: 50000000000000000000000000000000000000000
deg: 5
c5: 1168
c0: -5
skew: 0.34
# Murphy_E = 8.489e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7292442 hash collisions in 52704975 relations (47344793 unique)
Msieve: matrix is 2492347 x 2492574 (870.3 MB)

Sieving start time : 2021/05/10 09:12:02
Sieving end time  : 2021/05/10 21:23:06

Total sieving time: 12hrs 11min 4secs.

Total relation processing time: 2hrs 3min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 53sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

167990267549298164786052355426463897944519187482683059744792012795895148474317169990223843320406748880179061540776733183229218692343714032777514570553100573335196510602797971373<177>

559707636599368929497997425255431732598470253069<48>

300139316608151445499242936858907762047736747726911923400374102786490414758410275694232721663448471308136727341358983894601206817<129>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 167990267549298164786052355426463897944519187482683059744792012795895148474317169990223843320406748880179061540776733183229218692343714032777514570553100573335196510602797971373 (177 digits)
[Mon May 14 19:58:16 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3745079294
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 362858ms
Using 22 small primes for NTT
Estimated memory usage: 664M
Initializing tables of differences for F took 265ms
Computing roots of F took 12730ms
Building F from its roots took 8845ms
Computing 1/F took 3448ms
Initializing table of differences for G took 188ms
Computing roots of G took 10608ms
Building G from its roots took 8533ms
Computing roots of G took 10499ms
Building G from its roots took 8627ms
Computing G * H took 2012ms
Reducing  G * H mod F took 1872ms
Computing roots of G took 10827ms
Building G from its roots took 8548ms
Computing G * H took 1996ms
Reducing  G * H mod F took 1888ms
Computing roots of G took 10717ms
Building G from its roots took 8471ms
Computing G * H took 2028ms
Reducing  G * H mod F took 1841ms
Computing polyeval(F,G) took 17987ms
Computing product of all F(g_i) took 62ms
Step 2 took 132679ms
********** Factor found in step 2: 559707636599368929497997425255431732598470253069
Found probable prime factor of 48 digits: 559707636599368929497997425255431732598470253069
Composite cofactor 300139316608151445499242936858907762047736747726911923400374102786490414758410275694232721663448471308136727341358983894601206817 has 129 digits

GMP-ECM

300139316608151445499242936858907762047736747726911923400374102786490414758410275694232721663448471308136727341358983894601206817<129>

65609371997985947283305232939825747116450121760029313483<56>
4574640900653111165781412012084179066149833812043067572202624840490284099<73>

N = 300139316608151445499242936858907762047736747726911923400374102786490414758410275694232721663448471308136727341358983894601206817 (129 digits)
Divisors found:
r1=65609371997985947283305232939825747116450121760029313483 (pp56)
r2=4574640900653111165781412012084179066149833812043067572202624840490284099 (pp73)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 22.15 hours.
Factorization parameters were as follows:
n: 300139316608151445499242936858907762047736747726911923400374102786490414758410275694232721663448471308136727341358983894601206817
Y0: -9121967176025365681037099
Y1: 51923687682319
c0: -809098744809793412559502097496800
c1: 11909495045067663201015006240
c2: -12086555542217751047193
c3: -12304445859452263
c4: 7557606987
c5: 4752
skew: 1184561.40
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19569803
Relations: 2322760 relations
Pruned matrix : 1313523 x 1313760
Polynomial selection time: 0.00 hours.
Total sieving time: 20.48 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.34 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 22.15 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

1199800626252934333836489427216815483315507476184339469612604641427476653067449967675973509555326738294835054586475822171555833679852410523376665075113992435364987<163>

141463985725236817593556494528878668687847963656435007116646887<63>
8481315015280902931906812992221836001589732335510467989430562063553128198119061597862790865940596301<100>

***factors found***

P63 = 141463985725236817593556494528878668687847963656435007116646887
C46 = 6084344215420554755603789842208577878111008077
P100 = 8481315015280902931906812992221836001589732335510467989430562063553128198
119061597862790865940596301

ans = 0

yafu 2.11

ubuntu + wine

16684582318618568175763483274357657706494546975413720403823679413383446702865955736660836679397750375535686929121718834964058280706153725071991677439498299978645727002723043246421244307314171<191>

2690967288228078865943875744119319118327897237<46>

6200217442852998966961851100566916236658253211637820088718823841376988955046767862761385283094394809303032412309217678616710527584797282427925583<145>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 16684582318618568175763483274357657706494546975413720403823679413383446702865955736660836679397750375535686929121718834964058280706153725071991677439498299978645727002723043246421244307314171 (191 digits)
[Mon May 14 19:54:46 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=440094880
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 416476ms
Using 23 small primes for NTT
Estimated memory usage: 671M
Initializing tables of differences for F took 281ms
Computing roots of F took 15709ms
Building F from its roots took 10515ms
Computing 1/F took 4166ms
Initializing table of differences for G took 234ms
Computing roots of G took 12246ms
Building G from its roots took 10202ms
Computing roots of G took 12215ms
Building G from its roots took 10545ms
Computing G * H took 2465ms
Reducing  G * H mod F took 2402ms
Computing roots of G took 12746ms
Building G from its roots took 10405ms
Computing G * H took 2355ms
Reducing  G * H mod F took 2278ms
Computing roots of G took 12745ms
Building G from its roots took 10172ms
Computing G * H took 2402ms
Reducing  G * H mod F took 2356ms
Computing polyeval(F,G) took 21404ms
Computing product of all F(g_i) took 78ms
Step 2 took 158575ms
********** Factor found in step 2: 2690967288228078865943875744119319118327897237
Found probable prime factor of 46 digits: 2690967288228078865943875744119319118327897237
Composite cofactor 6200217442852998966961851100566916236658253211637820088718823841376988955046767862761385283094394809303032412309217678616710527584797282427925583 has 145 digits

GMP-ECM

6200217442852998966961851100566916236658253211637820088718823841376988955046767862761385283094394809303032412309217678616710527584797282427925583<145>

2311369459566595725258604362719097653114977017432134196351070681<64>
2682486530740784338441991541203429468233538147358605530649882342077783866859722343<82>

6200217442852998966961851100566916236658253211637820088718823841376988955046767862761385283094394809303032412309217678616710527584797282427925583=2311369459566595725258604362719097653114977017432134196351070681*2682486530740784338441991541203429468233538147358605530649882342077783866859722343

n: 6200217442852998966961851100566916236658253211637820088718823841376988955046767862761385283094394809303032412309217678616710527584797282427925583
skew: 902592.186
c0: -74709855241313449140603555928272280
c1: -182881281542330984580182992362
c2: 541309868875220248662843
c3: 83848162173495003
c4: -91668465092
c5: 145920
Y0: -11121895929115406488209636591
Y1: 22123499446545004211
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.668e-07
# f(x) = 145920*x^5-91668465092*x^4+83848162173495003*x^3+541309868875220248662843*x^2-182881281542330984580182992362*x-74709855241313449140603555928272280
# g(x) = 22123499446545004211*x-11121895929115406488209636591

Info:Square Root: Factors: 2311369459566595725258604362719097653114977017432134196351070681 2682486530740784338441991541203429468233538147358605530649882342077783866859722343
Info:Square Root: Total cpu/real time for sqrt: 3307.47/981.874
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): 78087/44.980/52.190/57.250/0.900
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63897/42.800/46.747/53.020/1.185
Info:Polynomial Selection (size optimized): Total time: 41356.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5671.72
Info:Polynomial Selection (root optimized): Rootsieve time: 5668.94
Info:Generate Factor Base: Total cpu/real time for makefb: 18.2/4.85026
Info:Generate Free Relations: Total cpu/real time for freerel: 468.74/118.021
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49676457
Info:Lattice Sieving: Average J: 3819.61 for 1255224 special-q, max bucket fill -bkmult 1.0,1s:1.187440
Info:Lattice Sieving: Total time: 879492s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.33/159.264
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 158.79999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 973.27/693.428
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 594.7999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 838.27/626.284
Info:Filtering - Merging: Total cpu/real time for merge: 525.44/152.936
Info:Filtering - Merging: Total cpu/real time for replay: 154.45/133.429
Info:Linear Algebra: Total cpu/real time for bwc: 241380/61737.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 39544.55, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (113664 iterations)
Info:Linear Algebra: Lingen CPU time 806.66, WCT time 232.83
Info:Linear Algebra: Mksol: WCT time 21486.05, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56832 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 147/60.1114
Info:Square Root: Total cpu/real time for sqrt: 3307.47/981.874
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.21786e+06/518.557
2311369459566595725258604362719097653114977017432134196351070681 2682486530740784338441991541203429468233538147358605530649882342077783866859722343

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)

35312343521712681618695493375872053156061942867895018095094168912653652760761342064849100029226373575195953805408158436534796607<128>

12392370343989197601343736809525428059573236538025297559799<59>
2849522935605342113993399200607718801178141714271584088893272805324793<70>

Number: 81111_210
N=35312343521712681618695493375872053156061942867895018095094168912653652760761342064849100029226373575195953805408158436534796607
  ( 128 digits)
Divisors found:
 r1=12392370343989197601343736809525428059573236538025297559799 (pp59)
 r2=2849522935605342113993399200607718801178141714271584088893272805324793 (pp70)
Version: Msieve-1.40
Total time: 108.89 hours.
Scaled time: 354.32 units (timescale=3.254).
Factorization parameters were as follows:
name: 81111_210
# Murphy_E = 1.015878e-10, selected by Jeff Gilchrist
n: 35312343521712681618695493375872053156061942867895018095094168912653652760761342064849100029226373575195953805408158436534796607
Y0: -4098367390715557634176686
Y1: 107671652622611
c0: -15582621154640285595018632905645
c1: 1364929613925853108227937943
c2: -2138983072736863525007
c3: -22987644356521067
c4: 8221250868
c5: 30540
skew: 426252.16
type: gnfs
# selected mechanically
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved algebraic special-q in [4200000, 8500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1243305 x 1243553
Total sieving time: 105.15 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.17 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
gnfs,127,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,53,53,2.5,2.5,100000
total time: 108.89 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

1799181048690032123073780432942837977523728759368683736311918117349597462503012648051967382121615634299199626745747712361576389588921600902359775051144873821818029952496987549022533082683547<190>

195417657703067757160238478001620393385687025091705190387237355073635227490556439377459352957884971163443689181218787741106321657269117092337589009113661353923291992734797477<174>

3794712696843573573475228557365113688292838290709612833780719563818048620458190245373920332761995151812679673798179400812785873771325310686903817496567734348070697888731018444227054191044446846029740255034843<208>

55820046976405331370041050219668156283698269178137214317<56>
417361586430572135388817591166577771565367490315708655750935633949<66>
162883175765000584353350800609005593535549613422322671440032423380390026075507221733971<87>

Number: n
N=3794712696843573573475228557365113688292838290709612833780719563818048620458190245373920332761995151812679673798179400812785873771325310686903817496567734348070697888731018444227054191044446846029740255034843
  ( 208 digits)
SNFS difficulty: 214 digits.
Divisors found:

Sat Jun 26 18:41:57 2010  prp56 factor: 55820046976405331370041050219668156283698269178137214317
Sat Jun 26 18:41:57 2010  prp66 factor: 417361586430572135388817591166577771565367490315708655750935633949
Sat Jun 26 18:41:57 2010  prp87 factor: 162883175765000584353350800609005593535549613422322671440032423380390026075507221733971
Sat Jun 26 18:41:57 2010  elapsed time 75:07:17 (Msieve 1.42 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.027).
Factorization parameters were as follows:
name: KA_8_1_213
n: 3794712696843573573475228557365113688292838290709612833780719563818048620458190245373920332761995151812679673798179400812785873771325310686903817496567734348070697888731018444227054191044446846029740255034843
m: 100000000000000000000000000000000000
deg: 6
c6: 73000
c0: -1
skew: 0.15
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 46200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7973661 hash collisions in 53714586 relations
Msieve: matrix is 4309323 x 4309548 (1228.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,214,6,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261)
Calibrating delay using timer specific routine.. 4799.85 BogoMIPS (lpj=2399925)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399950)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953)
Total of 4 processors activated (19200.17 BogoMIPS).

283485357169072209722010339569640863676629343738854305163460250977543454477918022758731632722106440696620508309074953802802202121900923613672247474076536214941185609785489<171>

41000591769915992650624685900215425173676179282747544366872394202746012313294795808275600671604961939655719121126219244892539983521958586571985291144644644511001816700675738379278427549751480290175791677<203>

42769781004910033224116582267943932716943347303<47>
958634596824544529008193134509864386564273946541391296263934617094825625898223653338413676996260232559142887094635435022093775611951081166446862516425673659<156>

GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 41000591769915992650624685900215425173676179282747544366872394202746012313294795808275600671604961939655719121126219244892539983521958586571985291144644644511001816700675738379278427549751480290175791677 (203 digits)
Using B1=8050000, B2=23420528050, polynomial Dickson(12), sigma=3639474129
Step 1 took 43202ms
Step 2 took 15119ms
********** Factor found in step 2: 42769781004910033224116582267943932716943347303
Found probable prime factor of 47 digits: 42769781004910033224116582267943932716943347303
Probable prime cofactor 958634596824544529008193134509864386564273946541391296263934617094825625898223653338413676996260232559142887094635435022093775611951081166446862516425673659 has 156 digits

3965592867248993238628253711901437939776280444985753085850168403754884751630721442923115198101749310968420398901736356452122257694662280205319770157850992844645081301395014862734868809989767190140901593701691<208>

3620576061701876499733072865659927<34>
1095293345497329293397673211340210417659625724719865891699257885248592552342275988711289537372777550314530400518083640878622741178698608241670961162797540046118753399114398333<175>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2394144579
Step 1 took 12049ms
********** Factor found in step 1: 3620576061701876499733072865659927
Found probable prime factor of 34 digits: 3620576061701876499733072865659927
Probable prime cofactor has 175 digits

GMP-ECM 6.2.3

Phenom II X4 940/openSUSE/x86_64

581380801772620663589957104270790920705951648670483333270100379400666180579392718734203474866940732110012743524271669409591340889956843126137859221813790511<156>

5728563677905460899837529013706595216875716919848769320907<58>
101488057820663236285240335401821142864553199193824356605959789915209760840862321222375846739564973<99>

Number: 81111_218
N=581380801772620663589957104270790920705951648670483333270100379400666180579392718734203474866940732110012743524271669409591340889956843126137859221813790511
  ( 156 digits)
Divisors found:
 r1=5728563677905460899837529013706595216875716919848769320907 (pp58)
 r2=101488057820663236285240335401821142864553199193824356605959789915209760840862321222375846739564973 (pp99)
Version: Msieve v. 1.43
Total time: 4868.06 hours.
Scaled time: 13718.18 units (timescale=2.818).
Factorization parameters were as follows:
name: 81111_218
n: 581380801772620663589957104270790920705951648670483333270100379400666180579392718734203474866940732110012743524271669409591340889956843126137859221813790511
skew: 1475968.86
# norm 3.30e+021
c5: 1740900
c4: 5313515597458
c3: -10367320621423322136
c2: 11238114764089424872730507
c1: 6271713110729221021328031407416
c0: -2159900727915301734106506255654867937
# alpha -5.51
Y1: 760869066529147697
Y0: -803039894083944062290013609784
# Murphy_E 1.94e-012
# M 230338808671967629916276474704289850940471358267794542864051051623232853020939535441026682083769307824669439678748819702802591047206862665112143851324374581
type: gnfs
rlim: 28600000
alim: 28600000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 28600000/28600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved algebraic special-q in [14300000, 70900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6231200 x 6231425
Total sieving time: 4810.41 hours.
Total relation processing time: 0.81 hours.
Matrix solve time: 54.23 hours.
Time per square root: 2.60 hours.
Prototype def-par.txt line would be:
gnfs,155,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,28600000,28600000,29,29,58,58,2.6,2.6,100000
total time: 4868.06 hours.
 --------- CPU info ----------
 i7 860 

ggnfs

Windows 7 64 bit

1317693882334289354414754795312149565432275140663590440225923689789178930664433530194321006541306746892752549771268023499707137832469610381633693006418255871206487875909789040203491489353653748672001728942605093<211>

7501925292428888626680918688714767051134645846819196495934867<61>
175647427956145550250649966841753801060547783174208374029329307154626662257669779236911538573570352749871941757549178526046670844378697315780780971879<150>

Number: 81111_219
N = 1317693882334289354414754795312149565432275140663590440225923689789178930664433530194321006541306746892752549771268023499707137832469610381633693006418255871206487875909789040203491489353653748672001728942605093 (211 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=7501925292428888626680918688714767051134645846819196495934867 (pp61)
r2=175647427956145550250649966841753801060547783174208374029329307154626662257669779236911538573570352749871941757549178526046670844378697315780780971879 (pp150)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 82.51 hours.
Factorization parameters were as follows:
n: 1317693882334289354414754795312149565432275140663590440225923689789178930664433530194321006541306746892752549771268023499707137832469610381633693006418255871206487875909789040203491489353653748672001728942605093
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 73
c0: -10
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7819482 relations
Pruned matrix : 6881359 x 6881584
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 41.69 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 39.97 hours.
time per square root: 0.43 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 82.51 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS; nfs_factory, Msieve

192829527368811457537733162501578304934948706384532112103460872445155614189826724782125867061993482707134703376029296886589348370342301932570786629409203620471835202815538948259815840477354131828041839<201>

13134608823008540042302570336206453913<38>
14681025523274244294463620939870658694088414760127469698980868983555220349226911499239736479881366661412389984698026421350435742026621052934252393473239003188357703<164>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1426927569
Step 1 took 106447ms
Step 2 took 49298ms
********** Factor found in step 2: 13134608823008540042302570336206453913
Found probable prime factor of 38 digits: 13134608823008540042302570336206453913
Probable prime cofactor 14681025523274244294463620939870658694088414760127469698980868983555220349226911499239736479881366661412389984698026421350435742026621052934252393473239003188357703 has 164 digits

109594705735238043331788487242062158383500468111950584759282489770965539790126031529068671249242956610239759382757700701555317302004694092591649740585071559772801616658628467274108566751485897621263<198>

2837610571495858281745380187212403314944742803<46>
38622179814288165622926293566133397054942706759828948740053500459397825841728383586364213151150107140346478641251253068584715528444254219119219045260821<152>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 109594705735238043331788487242062158383500468111950584759282489770965539790126031529068671249242956610239759382757700701555317302004694092591649740585071559772801616658628467274108566751485897621263 (198 digits)
[Mon May 14 20:32:21 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1506831060
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 406335ms
Using 24 small primes for NTT
Estimated memory usage: 721M
Initializing tables of differences for F took 265ms
Computing roots of F took 13323ms
Building F from its roots took 9844ms
Computing 1/F took 3884ms
Initializing table of differences for G took 234ms
Computing roots of G took 11170ms
Building G from its roots took 9485ms
Computing roots of G took 11138ms
Building G from its roots took 9563ms
Computing G * H took 2309ms
Reducing  G * H mod F took 2122ms
Computing roots of G took 11154ms
Building G from its roots took 9719ms
Computing G * H took 2262ms
Reducing  G * H mod F took 2106ms
Computing roots of G took 11170ms
Building G from its roots took 9703ms
Computing G * H took 2262ms
Reducing  G * H mod F took 2137ms
Computing polyeval(F,G) took 20139ms
Computing product of all F(g_i) took 94ms
Step 2 took 144941ms
********** Factor found in step 2: 2837610571495858281745380187212403314944742803
Found probable prime factor of 46 digits: 2837610571495858281745380187212403314944742803
Probable prime cofactor 38622179814288165622926293566133397054942706759828948740053500459397825841728383586364213151150107140346478641251253068584715528444254219119219045260821 has 152 digits

GMP-ECM

55138214481910504474402021639367748516194206269016464539467406659710675741115547913217644257809346309529248951249408160260076239369646003509557400335033914164002055043474050594926446408568253734909037178067<206>

4606100528699276243713698251985574178922217482311741483847891518177308099352601727104881<88>
11970692810189505132624871325541351979382746177297587707605053734122383190397148454001565605647208395225802113986571907<119>

Number: 81111_222
N = 55138214481910504474402021639367748516194206269016464539467406659710675741115547913217644257809346309529248951249408160260076239369646003509557400335033914164002055043474050594926446408568253734909037178067 (206 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=4606100528699276243713698251985574178922217482311741483847891518177308099352601727104881 (pp88)
r2=11970692810189505132624871325541351979382746177297587707605053734122383190397148454001565605647208395225802113986571907 (pp119)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 106.56 hours.
Factorization parameters were as follows:
n: 55138214481910504474402021639367748516194206269016464539467406659710675741115547913217644257809346309529248951249408160260076239369646003509557400335033914164002055043474050594926446408568253734909037178067
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7300
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34117662
Relations: 12844010 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 42.58 hours.
Total relation processing time: 0.32 hours.
Pruned matrix : 10776488 x 10776713
Matrix solve time: 63.31 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 106.56 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

2104085166188075781881705338370468402237478007866518895257651718142272218547764755195704512111510691729540804177576168042724769162516375405090100736870165262769814971696284630576631608421167<190>

3685163265214397477882184619731499451388557<43>

570961179942637668980825370841927742269046838683182279650255343383698696154470571458120323337494452357597994696173168459208572810242400991406498731<147>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 2104085166188075781881705338370468402237478007866518895257651718142272218547764755195704512111510691729540804177576168042724769162516375405090100736870165262769814971696284630576631608421167 (190 digits)
[Mon May 14 18:10:21 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2662688579
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 941138ms
Using 23 small primes for NTT
Estimated memory usage: 671M
Initializing tables of differences for F took 593ms
Computing roots of F took 26598ms
Building F from its roots took 14758ms
Computing 1/F took 5616ms
Initializing table of differences for G took 499ms
Computing roots of G took 22293ms
Building G from its roots took 14742ms
Computing roots of G took 22246ms
Building G from its roots took 14695ms
Computing G * H took 3089ms
Reducing  G * H mod F took 3088ms
Computing roots of G took 22246ms
Building G from its roots took 14742ms
Computing G * H took 3058ms
Reducing  G * H mod F took 3057ms
Computing roots of G took 24134ms
Building G from its roots took 15116ms
Computing G * H took 3261ms
Reducing  G * H mod F took 3260ms
Computing polyeval(F,G) took 32557ms
Computing product of all F(g_i) took 125ms
Step 2 took 250428ms
********** Factor found in step 2: 3685163265214397477882184619731499451388557
Found probable prime factor of 43 digits: 3685163265214397477882184619731499451388557
Composite cofactor 570961179942637668980825370841927742269046838683182279650255343383698696154470571458120323337494452357597994696173168459208572810242400991406498731 has 147 digits

GMP-ECM

570961179942637668980825370841927742269046838683182279650255343383698696154470571458120323337494452357597994696173168459208572810242400991406498731<147>

962842911755032900309764415040228852201720575714475494144566055243843<69>
592995153178114657799168703112988061059510388364196387740158977446319060253817<78>

Number: 81111_224
N = 570961179942637668980825370841927742269046838683182279650255343383698696154470571458120323337494452357597994696173168459208572810242400991406498731 (147 digits)
Divisors found:
r1=962842911755032900309764415040228852201720575714475494144566055243843 (pp69)
r2=592995153178114657799168703112988061059510388364196387740158977446319060253817 (pp78)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 30.36 hours.
Factorization parameters were as follows:
n: 570961179942637668980825370841927742269046838683182279650255343383698696154470571458120323337494452357597994696173168459208572810242400991406498731
# norm 3.489112e-14 alpha -6.980147 e 8.080e-12 rroots 3
skew: 8092627.64
c0: -9886100760712138945916810431811267781
c1: -7862032764922037460564683934844
c2: 645197916360810506812349
c3: 135971093623620860
c4: -54918704160
c5: 1224
Y0: -54170776077943903962296743238
Y1: 345613662439597
type: gnfs
Factor base limits: 17700000/17700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 42201848
Relations: 6312092 relations
Pruned matrix : 3701123 x 3701357
Polynomial selection time: 0.37 hours.
Total sieving time: 27.31 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.27 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,146,5,65,2000,1e-05,0.28,250,20,50000,3600,17700000,17700000,29,29,58,58,2.6,2.6,100000
total time: 30.36 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

772692699127824657759342992712827564671669358751743626824012809845486655732548144451663826983686178069437134076142318945688048331460945077344575546297062321937964508651427197<174>

2381382210045030612499900358745705278749537546682589232149575444135601085515142723284086082675819398554860963215313026617958108642118825814357700105734461462655976411976907906193258473738826011<193>

36279878564912877449080351436751977<35>

65639200136356610405763222555366392184764170615078420676661341059916251862205399722171206761383798033819165310154860533682523793910413983567476004394037283043<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1381633969
Step 1 took 12653ms
********** Factor found in step 1: 36279878564912877449080351436751977
Found probable prime factor of 35 digits: 36279878564912877449080351436751977
Composite cofactor has 158 digits

GMP-ECM 6.2.3

65639200136356610405763222555366392184764170615078420676661341059916251862205399722171206761383798033819165310154860533682523793910413983567476004394037283043<158>

804582565238400591334085307765100320091<39>

81581683437183962384653976100061929072380375507282517743013229817734102986686785182603541985635857498026059679164680473<119>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 65639200136356610405763222555366392184764170615078420676661341059916251862205399722171206761383798033819165310154860533682523793910413983567476004394037283043 (158 digits)
[Fri Feb 26 09:50:27 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1947307490
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20        25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 356703ms
Using 20 small primes for NTT
Estimated memory usage: 230M
Initializing tables of differences for F took 94ms
Computing roots of F took 8062ms
Building F from its roots took 8875ms
Computing 1/F took 4125ms
Initializing table of differences for G took 125ms
Computing roots of G took 7094ms
Building G from its roots took 8406ms
Computing roots of G took 6844ms
Building G from its roots took 8375ms
Computing G * H took 2375ms
Reducing  G * H mod F took 2359ms
Computing roots of G took 7078ms
Building G from its roots took 8438ms
Computing G * H took 2343ms
Reducing  G * H mod F took 2344ms
Computing roots of G took 7078ms
Building G from its roots took 8360ms
Computing G * H took 2328ms
Reducing  G * H mod F took 2281ms
Computing roots of G took 7094ms
Building G from its roots took 8437ms
Computing G * H took 2328ms
Reducing  G * H mod F took 2312ms
Computing polyeval(F,G) took 15844ms
Computing product of all F(g_i) took 78ms
Step 2 took 133485ms
********** Factor found in step 2: 804582565238400591334085307765100320091
Found probable prime factor of 39 digits: 804582565238400591334085307765100320091
Composite cofactor 81581683437183962384653976100061929072380375507282517743013229817734102986686785182603541985635857498026059679164680473 has 119 digits

GMP-ECM

81581683437183962384653976100061929072380375507282517743013229817734102986686785182603541985635857498026059679164680473<119>

202923652421443439098119173227185425623318025860916851<54>
402031416563262224172587792188148330286134846511701209897525977923<66>

Number: 81111_227/81111_227
N=81581683437183962384653976100061929072380375507282517743013229817734102986686785182603541985635857498026059679164680473
  ( 119 digits)
Divisors found:
 r1=202923652421443439098119173227185425623318025860916851 (pp54)
 r2=402031416563262224172587792188148330286134846511701209897525977923 (pp66)
Version: Msieve v. 1.44
Total time: 47.33 hours.
Scaled time: 98.40 units (timescale=2.079).
Factorization parameters were as follows:
name: 81111_227/81111_227
n: 81581683437183962384653976100061929072380375507282517743013229817734102986686785182603541985635857498026059679164680473
skew: 46270.22
# norm 3.81e+16
c5: 121680
c4: -12951604756
c3: -907265819887675
c2: 41551986088615813067
c1: -606164730948495851423349
c0: 642096437339701467336516345
# alpha -5.96
Y1: 595132780429
Y0: -58247164265580040894364
# Murphy_E 3.03e-10
# M 3936739787376202662408045242863059137791702597943108560118540531946652293904591014084253209737957508868338242462157512
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [2000000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 705864 x 706089
Polynomial selection time: 4.62 hours.
Total sieving time: 41.72 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,53,53,2.5,2.5,100000
total time: 47.33 hours.
 --------- CPU info (if available) ----------

8111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<229>

82040674460345276418092109635781689113066914859498489130035782209201051170000071099537504824993<95>
98866948187166021079702228415749082839158698719028540432556084739146464048408908049274520025910320723752161628884636948875147203809127<134>

Sieving ~ 240 CPU days + 203 hrs Lanczos with Msieve 1.42

Sun Oct 18 23:45:19 2009  
Sun Oct 18 23:45:19 2009  
Sun Oct 18 23:45:19 2009  Msieve v. 1.42
Sun Oct 18 23:45:19 2009  random seeds: 6d66a88d 9990fcd1
Sun Oct 18 23:45:19 2009  factoring 8111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111 (229 digits)
Sun Oct 18 23:45:21 2009  no P-1/P+1/ECM available, skipping
Sun Oct 18 23:45:21 2009  commencing number field sieve (229-digit input)
Sun Oct 18 23:45:21 2009  R0: -100000000000000000000000000000000000000
Sun Oct 18 23:45:21 2009  R1:  1
Sun Oct 18 23:45:21 2009  A0: -1
Sun Oct 18 23:45:21 2009  A1:  0
Sun Oct 18 23:45:21 2009  A2:  0
Sun Oct 18 23:45:21 2009  A3:  0
Sun Oct 18 23:45:21 2009  A4:  0
Sun Oct 18 23:45:21 2009  A5:  0
Sun Oct 18 23:45:21 2009  A6:  73
Sun Oct 18 23:45:21 2009  skew 1.00, size 2.476818e-11, alpha 1.224717, combined = 1.221636e-12
Sun Oct 18 23:45:21 2009  
Sun Oct 18 23:45:21 2009  commencing relation filtering
Sun Oct 18 23:45:21 2009  estimated available RAM is 7924.4 MB
Sun Oct 18 23:45:21 2009  commencing duplicate removal, pass 1
Sun Oct 18 23:45:36 2009  error -11 reading relation 2694508
Sun Oct 18 23:45:37 2009  error -15 reading relation 2872732
Sun Oct 18 23:46:12 2009  error -11 reading relation 9214336
Sun Oct 18 23:46:56 2009  error -11 reading relation 17266893
Sun Oct 18 23:47:08 2009  error -11 reading relation 19445707
Sun Oct 18 23:47:49 2009  error -11 reading relation 26762938
Sun Oct 18 23:48:17 2009  error -11 reading relation 31897864
Sun Oct 18 23:48:20 2009  error -11 reading relation 32438426
Sun Oct 18 23:48:24 2009  error -11 reading relation 33197093
Sun Oct 18 23:48:36 2009  error -11 reading relation 35426385
Sun Oct 18 23:49:25 2009  error -11 reading relation 43496383
Sun Oct 18 23:50:28 2009  error -11 reading relation 55107936
Sun Oct 18 23:51:15 2009  error -11 reading relation 60505135
Sun Oct 18 23:51:38 2009  error -6 reading relation 64394186
Sun Oct 18 23:51:50 2009  error -11 reading relation 66647536
Sun Oct 18 23:52:00 2009  error -11 reading relation 68358255
Sun Oct 18 23:52:09 2009  error -6 reading relation 70104845
Sun Oct 18 23:52:57 2009  error -11 reading relation 78093580
Sun Oct 18 23:53:09 2009  error -11 reading relation 80154003
Sun Oct 18 23:53:26 2009  error -11 reading relation 83269566
Sun Oct 18 23:53:38 2009  error -11 reading relation 85439373
Sun Oct 18 23:53:57 2009  error -11 reading relation 88668784
Sun Oct 18 23:54:02 2009  error -11 reading relation 89540526
Sun Oct 18 23:54:06 2009  found 15179751 hash collisions in 90256777 relations
Sun Oct 18 23:54:22 2009  commencing duplicate removal, pass 2
Sun Oct 18 23:55:57 2009  found 14787900 duplicates and 75468877 unique relations
Sun Oct 18 23:55:57 2009  memory use: 426.4 MB
Sun Oct 18 23:55:57 2009  reading ideals above 83951616
Sun Oct 18 23:55:57 2009  commencing singleton removal, initial pass
Mon Oct 19 00:04:47 2009  memory use: 1193.5 MB
Mon Oct 19 00:04:47 2009  reading all ideals from disk
Mon Oct 19 00:04:55 2009  memory use: 1253.5 MB
Mon Oct 19 00:05:02 2009  commencing in-memory singleton removal
Mon Oct 19 00:05:09 2009  begin with 75468877 relations and 71429593 unique ideals
Mon Oct 19 00:06:20 2009  reduce to 33368308 relations and 23102541 ideals in 19 passes
Mon Oct 19 00:06:20 2009  max relations containing the same ideal: 28
Mon Oct 19 00:06:25 2009  reading ideals above 720000
Mon Oct 19 00:06:25 2009  commencing singleton removal, initial pass
Mon Oct 19 00:11:51 2009  memory use: 596.8 MB
Mon Oct 19 00:11:52 2009  reading all ideals from disk
Mon Oct 19 00:11:59 2009  memory use: 1246.6 MB
Mon Oct 19 00:12:08 2009  keeping 32677867 ideals with weight <= 200, target excess is 174639
Mon Oct 19 00:12:16 2009  commencing in-memory singleton removal
Mon Oct 19 00:12:24 2009  begin with 33368308 relations and 32677867 unique ideals
Mon Oct 19 00:14:33 2009  reduce to 33118187 relations and 32426869 ideals in 16 passes
Mon Oct 19 00:14:33 2009  max relations containing the same ideal: 200
Mon Oct 19 00:15:09 2009  removing 2785840 relations and 2541472 ideals in 244368 cliques
Mon Oct 19 00:15:10 2009  commencing in-memory singleton removal
Mon Oct 19 00:15:18 2009  begin with 30332347 relations and 32426869 unique ideals
Mon Oct 19 00:16:45 2009  reduce to 30140693 relations and 29691582 ideals in 12 passes
Mon Oct 19 00:16:45 2009  max relations containing the same ideal: 196
Mon Oct 19 00:17:17 2009  removing 2018847 relations and 1774479 ideals in 244368 cliques
Mon Oct 19 00:17:18 2009  commencing in-memory singleton removal
Mon Oct 19 00:17:25 2009  begin with 28121846 relations and 29691582 unique ideals
Mon Oct 19 00:18:19 2009  reduce to 28011472 relations and 27805669 ideals in 8 passes
Mon Oct 19 00:18:19 2009  max relations containing the same ideal: 187
Mon Oct 19 00:18:58 2009  relations with 0 large ideals: 6501
Mon Oct 19 00:18:58 2009  relations with 1 large ideals: 1045
Mon Oct 19 00:18:58 2009  relations with 2 large ideals: 6849
Mon Oct 19 00:18:58 2009  relations with 3 large ideals: 76396
Mon Oct 19 00:18:58 2009  relations with 4 large ideals: 501001
Mon Oct 19 00:18:58 2009  relations with 5 large ideals: 1974881
Mon Oct 19 00:18:58 2009  relations with 6 large ideals: 4825536
Mon Oct 19 00:18:58 2009  relations with 7+ large ideals: 20619263
Mon Oct 19 00:18:58 2009  commencing 2-way merge
Mon Oct 19 00:19:39 2009  reduce to 16924970 relation sets and 16719168 unique ideals
Mon Oct 19 00:19:39 2009  ignored 1 oversize relation sets
Mon Oct 19 00:19:39 2009  commencing full merge
Mon Oct 19 00:27:27 2009  memory use: 2107.1 MB
Mon Oct 19 00:27:30 2009  found 8999888 cycles, need 8981368
Mon Oct 19 00:27:36 2009  weight of 8981368 cycles is about 629038424 (70.04/cycle)
Mon Oct 19 00:27:36 2009  distribution of cycle lengths:
Mon Oct 19 00:27:36 2009  1 relations: 1407270
Mon Oct 19 00:27:36 2009  2 relations: 1249187
Mon Oct 19 00:27:36 2009  3 relations: 1131311
Mon Oct 19 00:27:36 2009  4 relations: 950440
Mon Oct 19 00:27:36 2009  5 relations: 792936
Mon Oct 19 00:27:36 2009  6 relations: 650379
Mon Oct 19 00:27:36 2009  7 relations: 540476
Mon Oct 19 00:27:36 2009  8 relations: 441114
Mon Oct 19 00:27:36 2009  9 relations: 358546
Mon Oct 19 00:27:36 2009  10+ relations: 1459709
Mon Oct 19 00:27:36 2009  heaviest cycle: 28 relations
Mon Oct 19 00:27:38 2009  commencing cycle optimization
Mon Oct 19 00:28:01 2009  start with 49064201 relations
Mon Oct 19 00:29:42 2009  pruned 1034355 relations
Mon Oct 19 00:29:42 2009  memory use: 1642.5 MB
Mon Oct 19 00:29:43 2009  distribution of cycle lengths:
Mon Oct 19 00:29:43 2009  1 relations: 1407270
Mon Oct 19 00:29:43 2009  2 relations: 1273515
Mon Oct 19 00:29:43 2009  3 relations: 1165835
Mon Oct 19 00:29:43 2009  4 relations: 965226
Mon Oct 19 00:29:43 2009  5 relations: 804038
Mon Oct 19 00:29:43 2009  6 relations: 654272
Mon Oct 19 00:29:43 2009  7 relations: 539463
Mon Oct 19 00:29:43 2009  8 relations: 435494
Mon Oct 19 00:29:43 2009  9 relations: 353137
Mon Oct 19 00:29:43 2009  10+ relations: 1383118
Mon Oct 19 00:29:43 2009  heaviest cycle: 28 relations
Mon Oct 19 00:30:03 2009  RelProcTime: 2682
Mon Oct 19 00:30:03 2009  
Mon Oct 19 00:30:03 2009  commencing linear algebra
Mon Oct 19 00:30:10 2009  read 8981368 cycles
Mon Oct 19 00:30:29 2009  cycles contain 27737847 unique relations
Mon Oct 19 00:33:24 2009  read 27737847 relations
Mon Oct 19 00:34:16 2009  using 20 quadratic characters above 1073741672
Mon Oct 19 00:36:34 2009  building initial matrix
Mon Oct 19 00:42:04 2009  memory use: 3378.6 MB
Mon Oct 19 00:42:10 2009  read 8981368 cycles
Mon Oct 19 00:42:15 2009  matrix is 8981191 x 8981368 (2704.3 MB) with weight 782303917 (87.10/col)
Mon Oct 19 00:42:15 2009  sparse part has weight 610125085 (67.93/col)
Mon Oct 19 00:44:22 2009  filtering completed in 2 passes
Mon Oct 19 00:44:24 2009  matrix is 8977172 x 8977349 (2704.0 MB) with weight 782193362 (87.13/col)
Mon Oct 19 00:44:24 2009  sparse part has weight 610095193 (67.96/col)
Mon Oct 19 00:45:05 2009  read 8977349 cycles
Mon Oct 19 00:45:10 2009  matrix is 8977172 x 8977349 (2704.0 MB) with weight 782193362 (87.13/col)
Mon Oct 19 00:45:10 2009  sparse part has weight 610095193 (67.96/col)
Mon Oct 19 00:45:10 2009  saving the first 48 matrix rows for later
Mon Oct 19 00:45:14 2009  matrix is 8977124 x 8977349 (2578.3 MB) with weight 627869172 (69.94/col)
Mon Oct 19 00:45:14 2009  sparse part has weight 586117479 (65.29/col)
Mon Oct 19 00:45:14 2009  matrix includes 64 packed rows
Mon Oct 19 00:45:14 2009  using block size 65536 for processor cache size 6144 kB
Mon Oct 19 00:45:49 2009  commencing Lanczos iteration (4 threads)
Mon Oct 19 00:45:49 2009  memory use: 2813.4 MB
Tue Oct 27 11:21:10 2009  lanczos halted after 141967 iterations (dim = 8977122)
Tue Oct 27 11:21:29 2009  recovered 30 nontrivial dependencies
Tue Oct 27 11:21:30 2009  BLanczosTime: 730287
Tue Oct 27 11:21:30 2009  
Tue Oct 27 11:21:30 2009  commencing square root phase
Tue Oct 27 11:21:30 2009  reading relations for dependency 1
Tue Oct 27 11:21:32 2009  read 4490596 cycles
Tue Oct 27 11:21:42 2009  cycles contain 16870428 unique relations
Tue Oct 27 11:23:42 2009  read 16870428 relations
Tue Oct 27 11:25:27 2009  multiplying 13873600 relations
Tue Oct 27 12:05:42 2009  multiply complete, coefficients have about 419.03 million bits
Tue Oct 27 12:05:46 2009  initial square root is modulo 33011653
Tue Oct 27 13:04:31 2009  sqrtTime: 6181
Tue Oct 27 13:04:31 2009  prp95 factor: 82040674460345276418092109635781689113066914859498489130035782209201051170000071099537504824993
Tue Oct 27 13:04:31 2009  prp134 factor: 98866948187166021079702228415749082839158698719028540432556084739146464048408908049274520025910320723752161628884636948875147203809127
Tue Oct 27 13:04:31 2009  elapsed time 205:19:12

1649715649386800831611820890049094745862013525150219223542046286452703198504444036569458696467398643988052445641144172197605603592688026409223546091323851334202520097361472221519959738624988393<193>

2193594478790644544202754607587096269840676956388517903031759638815338581429443467394271417006072193152539696761772306722641100131781948200717247443083700359134884143251826364069031117491<187>

1650822547877001192927565850255926013274037515123764845043527766156948136042658866563596678943673395774637871229661761903045727732337835596114329797851032793154141652004179519962544184183518150730707756651181740857310597448087<226>

14972671958236447087346558694012378564397<41>

110255708031383529220323591090676771019226409919751001821186119826330460347632859206387514592814851572020893304856087869566838151870514238249240222410570577500878080512851550321808434771<186>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3823164346
Step 1 took 1595365ms
Step 2 took 479487ms
********** Factor found in step 2: 14972671958236447087346558694012378564397
Found probable prime factor of 41 digits: 14972671958236447087346558694012378564397
Composite cofactor 110255708031383529220323591090676771019226409919751001821186119826330460347632859206387514592814851572020893304856087869566838151870514238249240222410570577500878080512851550321808434771 has 186 digits

246455929966002586099210328191519890343991708277205527365048497800465227769168700772116043605819060834101398046583546872204160041053480936802622561183528641217559816204646200696153599438215524022700954425909608067549181462462736201<231>

1240563129715968968365450438765392737668632006235167237411945016645448853476823746268980792267665198000325895631682909582999910174030547986925402634864694721131449107480686861904394585987838191281344382248377059278320603854909<226>

2222309130255907575192061097020403937845293<43>
558231576708283279731831283626212022753207955058936371438763933234778563035230120408165466315769448023971248621746543542957170050463007901341783168608389403665393853517763876518277713<183>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=878018631
Step 1 took 1573874ms
********** Factor found in step 1: 2222309130255907575192061097020403937845293
Found probable prime factor of 43 digits: 2222309130255907575192061097020403937845293
Probable prime cofactor 558231576708283279731831283626212022753207955058936371438763933234778563035230120408165466315769448023971248621746543542957170050463007901341783168608389403665393853517763876518277713 has 183 digits

5313870167484850939355013885681178002562574520098966323954804557076387372992376228010185793763856687520080040551602985012088684428713873670815023685025884012535011599934263<172>

60687853128869130628593177685389818707099<41>
87560687905716177036346912340239830826609846158062663691981493729200375762792394886338228894937530365936173354107884482299637868437<131>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1324195766
Step 1 took 368818ms
Step 2 took 187486ms
********** Factor found in step 2: 60687853128869130628593177685389818707099
Found probable prime factor of 41 digits: 60687853128869130628593177685389818707099
Probable prime cofactor 87560687905716177036346912340239830826609846158062663691981493729200375762792394886338228894937530365936173354107884482299637868437 has 131 digits

31243503480169709226190156245518378762381350023640580547854939535061616758291515232586199706701828640971203623092869576163030356877904622229962598472590689158569521700227458282324472276546162097995802357988869096152741307571<224>

7529672645076231655415858897232655237<37>
4149384037379143567278495411791286694099973296395619304398324243167422800155829580159265351263609359751357291458341572923671862054965364012498727663693374393077802051839723879528884461783<187>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2320253117
Step 1 took 10935ms
Step 2 took 7332ms
********** Factor found in step 2: 7529672645076231655415858897232655237
Found probable prime factor of 37 digits: 7529672645076231655415858897232655237
Probable prime cofactor 4149384037379143567278495411791286694099973296395619304398324243167422800155829580159265351263609359751357291458341572923671862054965364012498727663693374393077802051839723879528884461783 has 187 digits

GMP-ECM 6.3

8661493051754636215464130291064642459058027974855650830036226658157525715787452134555978583873261769895053266668360042626385512314780799618533746319067833390258786298819117618092504913795948812020040064143774913333585123624087<226>

814095630093840119591820903531974394599<39>

10639404919488676269437173195849067982768008583597336927801174701554210055056123772520791930851970597088800249187873537684757677483217489510400408308552998571366202633215037413387104725713<188>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4027445342
Step 1 took 158785ms
Step 2 took 53761ms
********** Factor found in step 2: 814095630093840119591820903531974394599
Found probable prime factor of 39 digits: 814095630093840119591820903531974394599
Composite cofactor 10639404919488676269437173195849067982768008583597336927801174701554210055056123772520791930851970597088800249187873537684757677483217489510400408308552998571366202633215037413387104725713 has 188 digits

10639404919488676269437173195849067982768008583597336927801174701554210055056123772520791930851970597088800249187873537684757677483217489510400408308552998571366202633215037413387104725713<188>

7860315225071415156115933772593307189222053<43>
1353559572973997566518843842928429495815096905148266651107870648098066596862123731432826632334180429966508718464466298616576919177736668921484221<145>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=603873868
Step 1 took 354820ms
Step 2 took 134604ms
********** Factor found in step 2: 7860315225071415156115933772593307189222053
Found probable prime factor of 43 digits: 7860315225071415156115933772593307189222053
Probable prime cofactor 1353559572973997566518843842928429495815096905148266651107870648098066596862123731432826632334180429966508718464466298616576919177736668921484221 has 145 digits

5540626843728412040506437327457826879237372882933435010456890045802587261134629080265623312169806408065607370037936656402200434887335348528137881599514568015007717785761767108929053321706538954525617864832518968983072081501<223>

9738217033362438978257872010279769567827<40>

568957009763349750886082427078689969120509026254399618771016802246504288678284189495990001284085372062009919964865734459369038780656037994148639766044103725733477699960823359523909263<183>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1553818478
Step 1 took 16365ms
Step 2 took 7596ms
********** Factor found in step 2: 9738217033362438978257872010279769567827
Found probable prime factor of 40 digits: 9738217033362438978257872010279769567827
Composite cofactor has 183 digits

GMP-ECM 6.2.3

8675936615622217023484394891312685005847147039230374129384772051700616441351779064482477793901215404769316995492270529159785990867065617417544209969588649091024678658014321699722579601156934637614870211438649<208>

146337898716429751088899432223507<33>

59287011032147246415404357711918292857582091957106148141677454653007379683860195517172477070080575255441763542889691583392291227603304875315501329180227976487363263981212546307<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=380702607
Step 1 took 11965ms
Step 2 took 5392ms
********** Factor found in step 2: 146337898716429751088899432223507
Found probable prime factor of 33 digits: 146337898716429751088899432223507
Composite cofactor has 176 digits

GMP-ECM 6.2.3

4046096681336101433204325942262117888035522508268024315448389641870703907260959330220168741423606080336589276410727346539049184601381807006581393449167758496796820892074934641930609743599383882788074805272869596227<214>

1873106445888282133716880430689434121326097<43>

2160099705074328254815063385053390172074520721555998720133267865010463266648624186651627894155638288745251488629369157617178789327437784886280460121834064590351125882966291<172>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1646536888
Step 1 took 462218ms
Step 2 took 110028ms
********** Factor found in step 2: 1873106445888282133716880430689434121326097
Found probable prime factor of 43 digits: 1873106445888282133716880430689434121326097
Composite cofactor 2160099705074328254815063385053390172074520721555998720133267865010463266648624186651627894155638288745251488629369157617178789327437784886280460121834064590351125882966291 has 172 digits

61022506665007849877994329442037780518862941707090704708574435242418938918838390312154854272640719969226017240037411091248551942338705384457964128874023871535257220644012254155460024488840269216948071883372393865352861849<221>

1202233649847480946865691043463355443281256297<46>

50757609947741316745363445940303535286288441820982360522257421882789405958978062833785622228655170355856557572573801679529487202377314912584004824252185390776676526342100138417<176>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=342314283
Step 1 took 446915ms
Step 2 took 109495ms
********** Factor found in step 2: 1202233649847480946865691043463355443281256297
Found probable prime factor of 46 digits: 1202233649847480946865691043463355443281256297
Composite cofactor 50757609947741316745363445940303535286288441820982360522257421882789405958978062833785622228655170355856557572573801679529487202377314912584004824252185390776676526342100138417 has 176 digits

698400462469898522398027056836817151728736216597815637874207273417633488943632130316108551767786899501673336385608325212636096189206115275970611190493125434378115373198878849829093567884400814755127615297784386448096848520272972619<231>

8380671965231856573706217151153020289895918953091<49>
83334661631822602100988654224197720328501740712494196557820705632452193765493935016097442292426618429927918710862477756851947842628018212209341781601316634402213814377565211511142809<182>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3586205393
Step 1 took 158074ms
Step 2 took 54980ms
********** Factor found in step 2: 8380671965231856573706217151153020289895918953091
Found probable prime factor of 49 digits: 8380671965231856573706217151153020289895918953091
Probable prime cofactor 83334661631822602100988654224197720328501740712494196557820705632452193765493935016097442292426618429927918710862477756851947842628018212209341781601316634402213814377565211511142809 has 182 digits

1533524832311008155917996236137940681828165976313468375718211231165568831616582953952769975527692704441494770337739409332386141268319239629868691744956607520602637160224098022176116846497341953520585678029684838219489228150358856788503529<238>

1052234186110170683522888610546333813245660952522684119<55>

1457398792544500673330087052900319422608636252493966374247697746639209097525904462951487552766176122241294905362672553844028074015172484739063483047631190088898699927409871940396227391<184>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 1533524832311008155917996236137940681828165976313468375718211231165568831616582953952769975527692704441494770337739409332386141268319239629868691744956607520602637160224098022176116846497341953520585678029684838219489228150358856788503529 (238 digits)
[Fri May 25 07:50:03 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2054819751
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 872622ms
Using 28 small primes for NTT
Estimated memory usage: 834M
Initializing tables of differences for F took 531ms
Computing roots of F took 24383ms
Building F from its roots took 13089ms
Computing 1/F took 4758ms
Initializing table of differences for G took 468ms
Computing roots of G took 19563ms
Building G from its roots took 12948ms
Computing roots of G took 20624ms
Building G from its roots took 12994ms
Computing G * H took 2621ms
Reducing  G * H mod F took 2605ms
Computing roots of G took 20577ms
Building G from its roots took 12963ms
Computing G * H took 2652ms
Reducing  G * H mod F took 2574ms
Computing roots of G took 20624ms
Building G from its roots took 12932ms
Computing G * H took 2621ms
Reducing  G * H mod F took 2543ms
Computing polyeval(F,G) took 25662ms
Computing product of all F(g_i) took 124ms
Step 2 took 218417ms
********** Factor found in step 2: 1052234186110170683522888610546333813245660952522684119
Found probable prime factor of 55 digits: 1052234186110170683522888610546333813245660952522684119
Composite cofactor 1457398792544500673330087052900319422608636252493966374247697746639209097525904462951487552766176122241294905362672553844028074015172484739063483047631190088898699927409871940396227391 has 184 digits

GMP-ECM

5544835872478771132716506361166244420616856715274362135143875921203641136244118030605754760578597215589677544286189959822264345231378268950763242977746729947836764359316818496490483218820422043206041538077128019987385709549613884590655550109<241>

32607769874736976738779806206337465479<38>

170046461128108574995927236581628482215136764041055238483652624154293003769490480684917928338533050156473440999584084450662282572700445782394777642120172552258120330384289238781876693262128523142851830971<204>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3778736387
Step 1 took 5244ms
Step 2 took 2780ms
********** Factor found in step 2: 32607769874736976738779806206337465479
Found probable prime factor of 38 digits: 32607769874736976738779806206337465479
Composite cofactor has 204 digits

GMP-ECM 6.2.3

Phenom940

170046461128108574995927236581628482215136764041055238483652624154293003769490480684917928338533050156473440999584084450662282572700445782394777642120172552258120330384289238781876693262128523142851830971<204>

40205425134900824486036913580544781545361943<44>
4229440692581997042732935855220449937977980524590670734943555977564469429532304617404862572162798327414691831558556499825777155689822889258801244288794480057597<160>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 170046461128108574995927236581628482215136764041055238483652624154293003769490480684917928338533050156473440999584084450662282572700445782394777642120172552258120330384289238781876693262128523142851830971 (204 digits)
[Fri Feb 26 14:15:40 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2004602217
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20  25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 368661ms
Using 25 small primes for NTT
Estimated memory usage: 277M
Initializing tables of differences for F took 93ms
Computing roots of F took 7426ms
Building F from its roots took 8502ms
Computing 1/F took 3993ms
Initializing table of differences for G took 125ms
Computing roots of G took 5881ms
Building G from its roots took 7722ms
Computing roots of G took 6069ms
Building G from its roots took 8002ms
Computing G * H took 2246ms
Reducing  G * H mod F took 2215ms
Computing roots of G took 6069ms
Building G from its roots took 8127ms
Computing G * H took 2200ms
Reducing  G * H mod F took 2231ms
Computing roots of G took 6068ms
Building G from its roots took 7925ms
Computing G * H took 2200ms
Reducing  G * H mod F took 2215ms
Computing roots of G took 6037ms
Building G from its roots took 8128ms
Computing G * H took 2215ms
Reducing  G * H mod F took 2200ms
Computing polyeval(F,G) took 15101ms
Computing product of all F(g_i) took 78ms
Step 2 took 123428ms
********** Factor found in step 2: 40205425134900824486036913580544781545361943
Found probable prime factor of 44 digits: 40205425134900824486036913580544781545361943
Probable prime cofactor 4229440692581997042732935855220449937977980524590670734943555977564469429532304617404862572162798327414691831558556499825777155689822889258801244288794480057597 has 160 digits

GMP-ECM

401786386561048342505216360469407714202889194655276747202831127550329361304665275974623586654981931595138762257903682393054493713855401135734662869476541104569513837577983299793211165177458175700627394862836987773553052402471803195333<234>

189074849102796863204926349997457<33>

2125012334890738112961137486952219835992629112721539820107616881306342112270417869837741193948090360777073876452258197104226498106308736846322013866637606363465769247001381182013494635932729815724084469<202>

Input number is 401786386561048342505216360469407714202889194655276747202831127550329361304665275974623586654981931595138762257903682393054493713855401135734662869476541104569513837577983299793211165177458175700627394862836987773553052402471803195333 (234 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1999960963
Step 1 took 8284ms
Step 2 took 4180ms
********** Factor found in step 2: 189074849102796863204926349997457
Found probable prime factor of 33 digits: 189074849102796863204926349997457
Composite cofactor 2125012334890738112961137486952219835992629112721539820107616881306342112270417869837741193948090360777073876452258197104226498106308736846322013866637606363465769247001381182013494635932729815724084469 has 202 digits

GMP-ECM 6.4.4

558453863763338647676735616528813128029219287285750791651090621622505925891774612281551939925551459664905713538063192370366177440009433649126044395834548280079287604198806897119678110305802652445326596146416408463049671480949<225>

147006520829383683892869841712406462329<39>
3798837361857453138741942176076756356684562887055313355066393258802147306826716541426438264606154218826995525406994187873206053363776579018396613817185889481753476394517196098720287138781<187>

Tue 2015/10/06 11:37:05 UTC GMP-ECM 6.4.4 [configured with MPIR 2.7.0, --enable-asm-redc] [ECM]
Tue 2015/10/06 11:37:05 UTC Input number is 558453863763338647676735616528813128029219287285750791651090621622505925891774612281551939925551459664905713538063192370366177440009433649126044395834548280079287604198806897119678110305802652445326596146416408463049671480949 (225 digits)
Tue 2015/10/06 11:37:05 UTC Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1453692427
Tue 2015/10/06 11:37:05 UTC Step 1 took 15132ms
Tue 2015/10/06 11:37:05 UTC Step 2 took 6006ms
Tue 2015/10/06 11:37:05 UTC ********** Factor found in step 2: 147006520829383683892869841712406462329
Tue 2015/10/06 11:37:05 UTC Found probable prime factor of 39 digits: 147006520829383683892869841712406462329
Tue 2015/10/06 11:37:05 UTC Probable prime cofactor 3798837361857453138741942176076756356684562887055313355066393258802147306826716541426438264606154218826995525406994187873206053363776579018396613817185889481753476394517196098720287138781 has 187 digits

GPM-ECM

9012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<253>

39367979944414526068420154559869<32>
228925784145828510528525238670046484466737397660315532017503556910505154357831659357766344469187903801024742170833695650192488834463343633529269341024644855634408989581448118500126570889727669961250427930081715324770050491<222>

Input number is 9012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679 (253 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=866143964
Step 1 took 8253ms
Step 2 took 4290ms
********** Factor found in step 2: 39367979944414526068420154559869
Found probable prime factor of 32 digits: 39367979944414526068420154559869
Probable prime cofactor 228925784145828510528525238670046484466737397660315532017503556910505154357831659357766344469187903801024742170833695650192488834463343633529269341024644855634408989581448118500126570889727669961250427930081715324770050491 has 222 digits

GMP-ECM 6.4.4

24813216220527248417551581586414080226233445178735493824148539499021912303112185407805055626183146410106984493102889527241167333746191260535755339811778566572926074763301376936014230712611402460757924040266520183034383534354885287362723812958424807<248>

836182458865483098364615214870759205219223777545579131585779895099458555210763945393696467111377824550417560016816507396096861026245682318106076678751935672930311099440123639159470402185127915881288891521179358243686795953754753<228>

2016285459769172088588774133880129842408832639960245965735193522833988558576005586376840347946669617492150934220829937891356364070060361407993470514198153139913936169878354053954634981926131763076511837125401861332154483590320059991640574392982809989<250>

165439628783627181786162831100102055803031706343695393710269280512493678993408574026095529214777072239204334643584567041610797858092252057815450089576438582510592764352338432589294334458803622432989674571001187172380621782397121<228>

6919370452742045355522911366443<31>
23909635986907721565336778860158928010133160205995409275712926687282402004035243207804039042072880576574289100282882679343086047930754346159232974456000164978419144556779754604005092125494559710147<197>