18855735659017004221926364859533618632308778279455693268834359906070907088429160187428975507074831009421689650151349620843987<125>

31716109421076795373899516364671743827<38>
594516036272926696957983957018200081631523371414648045151308665913465157064353040222081<87>

Number: c125
N=18855735659017004221926364859533618632308778279455693268834359906070907088429160187428975507074831009421689650151349620843987
  ( 125 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=31716109421076795373899516364671743827 (pp38)
 r2=594516036272926696957983957018200081631523371414648045151308665913465157064353040222081 (pp87)
Version: GGNFS-08
Total time: 35.90 hours.
Scaled time: 59.48 units (timescale=1.657).

GGNFS

AMD X2, SUSE 10.1

899136715284523369077591605553594215443688063801386230671576796657095902988937771674709332494070529673951870737835207<117>

2997698735605426418767872380233<31>
9764529913019020615309018869039972997<37>
30717538201460534340297361939081901505386210927107<50>

Number: Job
N=899136715284523369077591605553594215443688063801386230671576796657095902988937771674709332494070529673951870737835207
  ( 117 digits)
Divisors found:
 r1=2997698735605426418767872380233 (pp31)
 r2=9764529913019020615309018869039972997 (pp37)
 r3=30717538201460534340297361939081901505386210927107 (pp50)
Version: GGNFS-0.77.1
Total time: 41.67 hours.
Scaled time: 77.09 units (timescale=1.850).
Factorization parameters were as follows:
name: (8*10^156-71)/9
n: 899136715284523369077591605553594215443688063801386230671576796657095902988937771674709332494070529673951870737835207
skew: 26671.449219
# norm 2.20E+016
c5: 475200
c4: 25292363578
c3: -734548944339791
c2: -19516094989828822425
c1: -162675718473930164799925
c0: 455080907979280906821907451
#alpha -6.580000
Y1: 343208536379
Y0: -18004860957275713061334
# Murphy_E 4.14E-010
# M 739616504969869649068527192358617520744048083453378070391281540997102668229365593228562839239521216353745679411815636
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:6527129, finalFF:568546
Initial matrix: 500690 x 568546 with sparse part having weight 49461972.
Pruned matrix : 475185 x 477752 with weight 34016748.
Total sieving time: 37.60 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.61 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: 41.67 hours.
 --------- CPU info (if available) ----------

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

1559454191033138401559454191033138401559454191033138401559454191033138401559454191033138401559454191033138401559454191033138401559454191033138401559454191033<157>

9664697394220315840642753734651277<34>
14494535430151793717771340261148093622724469909<47>
11132175926860369123565167768321340729065242118076195884675837389472472816681<77>

SNFS difficulty: 158 digits.
Divisors found:
 r1=9664697394220315840642753734651277 (pp34)
 r2=14494535430151793717771340261148093622724469909 (pp47)
 r3=11132175926860369123565167768321340729065242118076195884675837389472472816681 (pp77)
Version: GGNFS-08
Total time: 49.61 hours.

AMD64 X2

21483440492935788841781084404038746241914062056412775462648541775521276023869251321725004870583270727148961115861503507285018702295885288893327<143>

51115477509159931763794507652915563600336098152047<50>
420292278186894375636799893551544441041889854586442640683219972715067693082843449444417750241<93>

Divisors found:
 r1=51115477509159931763794507652915563600336098152047 (pp50)
 r2=420292278186894375636799893551544441041889854586442640683219972715067693082843449444417750241 (pp93)
Version: GGNFS-08
Total time: 65.97 hours.

GGNFS

AMD64 X2

83073727933541017653167185877466251298026998961578400830737279335410176531671858774662512980269989615784008307372793354101765316718587746625129802699896157840083<161>

331525272836625077861926530888596074621005958963348147811333<60>
250580377244662029958853007009725953486242048898063827611155437846422355414015990463558317384787413751<102>

Number: n
N=83073727933541017653167185877466251298026998961578400830737279335410176531671858774662512980269989615784008307372793354101765316718587746625129802699896157840083
  ( 161 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=331525272836625077861926530888596074621005958963348147811333 (pp60)
 r2=250580377244662029958853007009725953486242048898063827611155437846422355414015990463558317384787413751 (pp102)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 76.77 hours.
Scaled time: 111.16 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_8_162_1
n: 83073727933541017653167185877466251298026998961578400830737279335410176531671858774662512980269989615784008307372793354101765316718587746625129802699896157840083
skew: 0.78
deg: 5
c5: 250
c0: -71
m: 200000000000000000000000000000000
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, 3600001)
Primes: RFBsize:216816, AFBsize:215722, largePrimes:7882612 encountered
Relations: rels:7405836, finalFF:485486
Max relations in full relation-set: 28
Initial matrix: 432604 x 485486 with sparse part having weight 50002622.
Pruned matrix : 413633 x 415860 with weight 39761888.
Total sieving time: 68.97 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 7.34 hours.
Total square root time: 0.18 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 76.77 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

2199185751475516190130604143815752217741381253590857984831116279197627078574157918030849078128822803357057049627375464234367225534745760382218483606444713844699<160>

6702863948665376016824925578772117152858124361875429504392949157960651371083473<79>
328096432855899090449878151867788591711321056497892958204836930069357451062128363<81>

Number: n
N=2199185751475516190130604143815752217741381253590857984831116279197627078574157918030849078128822803357057049627375464234367225534745760382218483606444713844699
  ( 160 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=6702863948665376016824925578772117152858124361875429504392949157960651371083473 (pp79)
 r2=328096432855899090449878151867788591711321056497892958204836930069357451062128363 (pp81)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 92.52 hours.
Scaled time: 110.83 units (timescale=1.198).
Factorization parameters were as follows:
name: KA_8_163_1
n: 2199185751475516190130604143815752217741381253590857984831116279197627078574157918030849078128822803357057049627375464234367225534745760382218483606444713844699
type: snfs
skew: 2.45
deg: 5
c5: 4
c0: -355
m: 1000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
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, 3600001)
Primes: RFBsize:250150, AFBsize:250837, largePrimes:7783343 encountered
Relations: rels:7291842, finalFF:562621
Max relations in full relation-set: 28
Initial matrix: 501051 x 562621 with sparse part having weight 46426453.
Pruned matrix : 472306 x 474875 with weight 35341023.
Total sieving time: 83.37 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 8.48 hours.
Total square root time: 0.30 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.5,2.5,100000
total time: 92.52 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

144027532594472446419088670372221446600866985013152908414087395252915763790472100207860234021539271314414119279701887925790899301226013814767255437728687<153>

141560894710474867768362601769154727182998709670386480583402999463<66>
1017424571164532619839800754370275756667350476653199232325748520042742652983871482885049<88>

 r1=141560894710474867768362601769154727182998709670386480583402999463 (pp66)
 r2=1017424571164532619839800754370275756667350476653199232325748520042742652983871482885049 (pp88)
Version: GGNFS-0.80.1
Total time: 119.05 hours.

Athlon 64 X2 4200+, Suse 10.1

304695652529905678193451306641522699471404982806600901142422369687294357348027467557915214733299983365949853339536180090078498274521933787480233298967<150>

2269232521002778040596096495435919<34>
134272556782880983389435035962509777764315564283238280173555744073973109616249276693619292540182473602203459354521593<117>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 304695652529905678193451306641522699471404982806600901142422369687294357348027467557915214733299983365949853339536180090078498274521933787480233298967 (150 digits)
Using B1=2492000, B2=3567875230, polynomial Dickson(6), sigma=1402222048
Step 1 took 29949ms
********** Factor found in step 1: 2269232521002778040596096495435919
Found probable prime factor of 34 digits: 2269232521002778040596096495435919
Probable prime cofactor 134272556782880983389435035962509777764315564283238280173555744073973109616249276693619292540182473602203459354521593 has 117 digits

25804276969237260916253285418344233476581942122469731457748077108761430322204665370889961476489935277885313096413193234028503<125>

30196695799267574612214510483582331213049<41>
854539752983938975409709010100505812475698391065616612344483235106134591693546624847<84>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 25804276969237260916253285418344233476581942122469731457748077108761430322204665370889961476489935277885313096413193234028503 (125 digits)
Using B1=6486000, B2=14271342550, polynomial Dickson(12), sigma=3532503115
Step 1 took 57942ms
Step 2 took 23495ms
********** Factor found in step 2: 30196695799267574612214510483582331213049
Found probable prime factor of 41 digits: 30196695799267574612214510483582331213049
Probable prime cofactor 854539752983938975409709010100505812475698391065616612344483235106134591693546624847 has 84 digits

763533844237522191409107309395770382948310625752897777982126768243828575255785148404654991438684867801344551153348883116002665335391465343391191730808361881<156>

47781549603347332166946262947607610229479<41>
15979679407133185494514008168674390360680444782139128263236808135037861497132308268172748142259881307507065765651839<116>

GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 763533844237522191409107309395770382948310625752897777982126768243828575255785148404654991438684867801344551153348883116002665335391465343391191730808361881 (156 digits)
Using B1=2142000, B2=2854157680, polynomial Dickson(6), sigma=1574911451
Step 1 took 35813ms
Step 2 took 16047ms
********** Factor found in step 2: 47781549603347332166946262947607610229479
Found probable prime factor of 41 digits: 47781549603347332166946262947607610229479
Probable prime cofactor 15979679407133185494514008168674390360680444782139128263236808135037861497132308268172748142259881307507065765651839 has 116 digits

1388716004551824663688127790977244167305559219887100242841409051448755631839236069068098714742279970502100643048354646251438202731220208003585966679010259<154>

443198506540851385333367717395890976633598570600406398617488535633577<69>
3133395045463270610737589355782572374210977477082636826967676595220533524174375587867<85>

Number: n
N=1388716004551824663688127790977244167305559219887100242841409051448755631839236069068098714742279970502100643048354646251438202731220208003585966679010259
  ( 154 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue Sep 30 17:22:35 2008  prp69 factor: 443198506540851385333367717395890976633598570600406398617488535633577
Tue Sep 30 17:22:35 2008  prp85 factor: 3133395045463270610737589355782572374210977477082636826967676595220533524174375587867
Tue Sep 30 17:22:35 2008  elapsed time 01:58:27 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.00 hours.
Scaled time: 14.26 units (timescale=2.038).
Factorization parameters were as follows:
name: KA_8_169_1
n: 1388716004551824663688127790977244167305559219887100242841409051448755631839236069068098714742279970502100643048354646251438202731220208003585966679010259
type: snfs
skew: 1.55
deg: 5
c5: 8
c0: -71
m: 10000000000000000000000000000000000
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 1700001)
Primes: RFBsize:425648, AFBsize:425953, largePrimes:12556966 encountered
Relations: rels:11858449, finalFF:922632
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 6.74 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,170,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,52,52,2.5,2.5,100000
total time: 7.00 hours.
 --------- CPU info (if available) ----------

1812227547695338990139111331659481227718936923485793131187307981943599988246636920562997784520297027204900940804099010280555958260757<133>

1524650242541567324954526227339426783223737623<46>
1188618541570809671762907580332938044167040932334044720846083057664957911630423519067059<88>

Number: 88881_171
N=1812227547695338990139111331659481227718936923485793131187307981943599988246636920562997784520297027204900940804099010280555958260757
  ( 133 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=1524650242541567324954526227339426783223737623 (pp46)
 r2=1188618541570809671762907580332938044167040932334044720846083057664957911630423519067059 (pp88)
Version: Msieve-1.40
Total time: 85.74 hours.
Scaled time: 261.75 units (timescale=3.053).
Factorization parameters were as follows:
name: 88881_171
n: 1812227547695338990139111331659481227718936923485793131187307981943599988246636920562997784520297027204900940804099010280555958260757
m: 10000000000000000000000000000000000
deg: 5
c5: 80
c0: -71
skew: 0.98
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 6050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1031712 x 1031960
Total sieving time: 83.12 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.41 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 85.74 hours.
 --------- CPU info (if available) ----------

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

173529377939311546112233330859262908774776885502244844273521228100899743749862292880170396230641247365799626515772661387843469000681651927737996523449881229<156>

859892965727862593870368712758282269775693<42>
96055266805913240015249975071088706895776783497<47>
2100909916748059669934740832392497068778405503990060382377373126649<67>

SNFS difficulty: 172 digits.
Divisors found:
 r1=859892965727862593870368712758282269775693
 r2=96055266805913240015249975071088706895776783497
 r3=2100909916748059669934740832392497068778405503990060382377373126649
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.738).
Factorization parameters were as follows:
n: 173529377939311546112233330859262908774776885502244844273521228100899743749862292880170396230641247365799626515772661387843469000681651927737996523449881229
m: 20000000000000000000000000000000000
c5: 25
c0: -71
skew: 1.23
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 7800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1228674 x 1228922
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,54,54,2.6,2.6,100000
total time: 80.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

20419843941197353791040696092597137963865400866495972289330486942965055929496647996235911574909705507595684650681311127191200053805001729569<140>

33715138294680734832618454572413769091987<41>
605658021115666294214978686237465472994827629075929272382467836621789553075490427237044226574344187<99>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 20419843941197353791040696092597137963865400866495972289330486942965055929496647996235911574909705507595684650681311127191200053805001729569 (140 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=5942098668
Step 1 took 996ms
Step 2 took 562ms
********** Factor found in step 2: 33715138294680734832618454572413769091987
Found probable prime factor of 41 digits: 33715138294680734832618454572413769091987
Probable prime cofactor 605658021115666294214978686237465472994827629075929272382467836621789553075490427237044226574344187 has 99 digits

Core 2 Quad Q6700

197994126454740188518622547932459946592569344782244698515457364328422856253863515075359410694241902640397696942220784784864160808453577022524232563009960168779103125711<168>

1939607078801257064760060301<28>

102079502915150872449364582616265150010758333661353575581993053425424847966829582828720569749338022010525015105109233120216741718055475742411<141>

Using B1=1000000, B2=5704990210, polynomial Dickson(6), sigma=2205476459
Step 1 took 8187ms
Step 2 took 9112ms
********** Factor found in step 2: 1939607078801257064760060301
Found probable prime factor of 28 digits: 1939607078801257064760060301
Composite cofactor 102079502915150872449364582616265150010758333661353575581993053425424847966829582828720569749338022010525015105109233120216741718055475742411 has 141 digits
 

GMP-ECM 6.2.1

102079502915150872449364582616265150010758333661353575581993053425424847966829582828720569749338022010525015105109233120216741718055475742411<141>

850114323448304243508033259581857<33>
78519989734889223718360727461925074539577<41>
1529258766563958643337276955202978587578375066092351071414778732099<67>

#ECM, then gnfs/Msieve
#
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2137109807
Step 1 took 6074ms
Step 2 took 5382ms
********** Factor found in step 2: 850114323448304243508033259581857
Found probable prime factor of 33 digits: 850114323448304243508033259581857
Composite cofactor 120077382652591388295983297045168552769870447621305691159671304298960005415149680145939340552228814255782123 has 108 digits

Number: 88881_174
N=120077382652591388295983297045168552769870447621305691159671304298960005415149680145939340552228814255782123
  ( 108 digits)
Divisors found:
 r1=78519989734889223718360727461925074539577
 r2=1529258766563958643337276955202978587578375066092351071414778732099
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.737).
Factorization parameters were as follows:
name: 88881_174
n: 120077382652591388295983297045168552769870447621305691159671304298960005415149680145939340552228814255782123
skew: 15539.87
# norm 5.21e+14
c5: 10620
c4: 2345195624
c3: -9769755854673
c2: -757793244395768101
c1: -346626392993315128485
c0: 663410832095626035419180
# alpha -5.61
Y1: 214905875723
Y0: -407997250730317195257
# Murphy_E 1.32e-09
# M 45879032032193932672059950995837741871759094187743379265860171579020205688976944665220708460720323858425038
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1600000, 2900001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 335656 x 335899
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,26,26,49,49,2.6,2.6,100000
total time: 8.5 hours.

GMP-ECM 6.2.1+pol51+Msieve 1.36

Opteron-2.6GHz; Linux x86_64

286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351<174>

5771423368902638327030970168234828127947353990816013247148660980653867079991<76>
49682432378721834064763150900527183566952281275682356497289727057025185041987238713931398215237961<98>

Number: 88881_175
N=286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351
  ( 174 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=5771423368902638327030970168234828127947353990816013247148660980653867079991 (pp76)
 r2=49682432378721834064763150900527183566952281275682356497289727057025185041987238713931398215237961 (pp98)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 201.98 hours.
Scaled time: 406.99 units (timescale=2.015).
Factorization parameters were as follows:
n: 286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351254480286738351
m: 100000000000000000000000000000000000
c5: 8
c0: -71
skew: 1.55
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 10200001)
Primes: RFBsize:501962, AFBsize:501892, largePrimes:6609281 encountered
Relations: rels:7255516, finalFF:1306535
Max relations in full relation-set: 32
Initial matrix: 1003919 x 1306535 with sparse part having weight 79027919.
Pruned matrix : 736827 x 741910 with weight 57352113.
Total sieving time: 197.68 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 4.02 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 201.98 hours.
 --------- CPU info (if available) ----------

5194720035499612325124803412322584986607086016904673173039342531034278692866162699397252541490932012658708402363721980347333486400655202962868877752096004634414000061<166>

384595704556920497193037081556113070867394138991<48>
2296171494369343404873902332835591498939775817601<49>
5882384330511810141248855195006799577871369194789677465304375137809171<70>

N=5194720035499612325124803412322584986607086016904673173039342531034278692866162699397252541490932012658708402363721980347333486400655202962868877752096004634414000061
  ( 166 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=384595704556920497193037081556113070867394138991 (pp48)
 r2=2296171494369343404873902332835591498939775817601 (pp49)
 r3=5882384330511810141248855195006799577871369194789677465304375137809171 (pp70)
Version: Msieve-1.40
Total time: 86.15 hours.
Scaled time: 165.58 units (timescale=1.922).
Factorization parameters were as follows:
n: 5194720035499612325124803412322584986607086016904673173039342531034278692866162699397252541490932012658708402363721980347333486400655202962868877752096004634414000061
m: 100000000000000000000000000000000000
deg: 5
c5: 80
c0: -71
skew: 0.98
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qinsize: 360000Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 7500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1382874 x 1383104
Total sieving time: 83.51 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.13 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,176.000,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 86.15 hours.
 --------- CPU info (if available) ----------

23772999970052792028564959114574816263183260752248761341946875698808068682681587542718671674904211432906509819332449033420710851681416958839<140>

652164356657968751849283918254856440873<39>
286392555317369108538464512499833719018257<42>
127281476955854375844191574769583701186317121525016829505199<60>

#ECM, then gnfs/Msieve
#
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2437338572
Step 1 took 6152ms
Step 2 took 5294ms
********** Factor found in step 2: 652164356657968751849283918254856440873
Found probable prime factor of 39 digits: 652164356657968751849283918254856440873
Composite cofactor 36452467429955965780886924086595385555832450018859545691294583204020859281578886114742778261357418143 has 101 digits

Number: 88881_177
N=36452467429955965780886924086595385555832450018859545691294583204020859281578886114742778261357418143
  ( 101 digits)
Divisors found:
 r1=286392555317369108538464512499833719018257
 r2=127281476955854375844191574769583701186317121525016829505199
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
name: 88881_177
n: 36452467429955965780886924086595385555832450018859545691294583204020859281578886114742778261357418143
skew: 12368.22
# norm 1.12e+14
c5: 15120
c4: 150264694
c3: -11598943337685
c2: -17156313923209009
c1: 524819569682653239745
c0: 949953813586943591715135
# alpha -5.76
Y1: 139498271
Y0: -18898834485199271362
# Murphy_E 3.00e-09
# M 26093282328691552134264344581641201739610238309972482507984177247986435870294398991833476024748170828
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1500001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 196349 x 196597
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.2 hours.

GMP-ECM 6.2.1+pol51+Msieve 1.36

Opteron-2.2GHz; Linux x86_64

238760384678050922979561192592846013047005846266107290401202354742705994220544304272740756062856565469878949800028684278789887953<129>

30208418404895337403939764543251598420927414093894303757<56>
7903769786218245146954069617919068271279145733281718561224161428100547029<73>

N = 238760384678050922979561192592846013047005846266107290401202354742705994220544304272740756062856565469878949800028684278789887953 (129 digits)
Divisors found:
r1=30208418404895337403939764543251598420927414093894303757 (pp56)
r2=7903769786218245146954069617919068271279145733281718561224161428100547029 (pp73)
Version: Msieve v. 1.48
Total time: 41.57 hours.
Factorization parameters were as follows:
n: 238760384678050922979561192592846013047005846266107290401202354742705994220544304272740756062856565469878949800028684278789887953
Y0: -8456789409745829110367613
Y1: 63241039080433
c0: -479921101478376931309142809120
c1: 6457853289371816220312624
c2: 189808865255670358174
c3: -976724318814171
c4: -7457377206
c5: 5520
skew: 170471.41 
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: 20125623
Relations: 2385894 relations
Pruned matrix : 1356515 x 1356740
Polynomial selection time: 0.00 hours.
Total sieving time: 38.92 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.34 hours.
time per square root: 0.20 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: 41.57 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

2107766845891559960474959151976251293083879578904883188220904727811912904612851274427190177419790962195634645473514808274902121482667709595279<142>

38001164249343861879844703030011<32>
55465849205605673476320990095766230525589083957143833986585274351990456163316671072038577982117107069172811389<110>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=563234332
Step 1 took 5725ms
Step 2 took 4103ms
********** Factor found in step 2: 38001164249343861879844703030011
Found probable prime factor of 32 digits: 38001164249343861879844703030011
Probable prime cofactor 55465849205605673476320990095766230525589083957143833986585274351990456163316671072038577982117107069172811389 has 110 digits

GMP-ECM 6.3

84749870276535585287544139659011584594572552378694215304601946563789266586000289442128184309098809267029958741214908895133096150758160762680829901173516322298071319977<167>

35442067288515255082396733792794695572235215514583973644081508312654774573<74>
2391222543161249689206861217508455642178269458988813422018748705678105993050827103189797178349<94>

N=84749870276535585287544139659011584594572552378694215304601946563789266586000289442128184309098809267029958741214908895133096150758160762680829901173516322298071319977
  ( 167 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=35442067288515255082396733792794695572235215514583973644081508312654774573 (pp74)
 r2=2391222543161249689206861217508455642178269458988813422018748705678105993050827103189797178349 (pp94)
Version: Msieve-1.40
Total time: 199.35 hours.
Scaled time: 391.31 units (timescale=1.963).
Factorization parameters were as follows:
n: 84749870276535585287544139659011584594572552378694215304601946563789266586000289442128184309098809267029958741214908895133096150758160762680829901173516322298071319977
m: 2000000000000000000000000000000000000
deg: 5
c5: 25
c0: -71
skew: 1.23
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 7100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1218628 x 1218853
Total sieving time: 197.38 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.53 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 199.35 hours.
 --------- CPU info (if available) ----------

110577880240971693916784665454439628638611705235624939685981331959586119730740398994595766530939017982500614323523061850019802952184332483306187706612758283753<159>

954826053313557200786557200395220464672263389030290872701844129434418345209839<78>
115809450168677798842239771020699916364871508193210339483085499072216893458517927<81>

N=110577880240971693916784665454439628638611705235624939685981331959586119730740398994595766530939017982500614323523061850019802952184332483306187706612758283753
  ( 159 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=954826053313557200786557200395220464672263389030290872701844129434418345209839 (pp78)
 r2=115809450168677798842239771020699916364871508193210339483085499072216893458517927 (pp81)
Version: Msieve-1.40
Total time: 248.70 hours.
Scaled time: 485.22 units (timescale=1.951).
Factorization parameters were as follows:
n: 110577880240971693916784665454439628638611705235624939685981331959586119730740398994595766530939017982500614323523061850019802952184332483306187706612758283753
m: 2000000000000000000000000000000000000
deg: 5
c5: 2500
c0: -71
skew: 0.49
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1567853 x 1568078
Total sieving time: 245.61 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.67 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 248.70 hours.
 --------- CPU info (if available) ----------

20327217381803583180243977426625097507120878339063067732829218342264604470463282693153030915156735550524569253559168718445171142465843922543138166637446291680324015845065949115893089<182>

987895103890722668057692699475951929826842691<45>
1518369038049027997383307706026952156843005415743<49>
13551574573816468594611225834346709335102626184834964057831450659712303002693008791158453<89>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 20327217381803583180243977426625097507120878339063067732829218342264604470463282693153030915156735550524569253559168718445171142465843922543138166637446291680324015845065949115893089 (182 digits)
Using B1=6016000, B2=14270867530, polynomial Dickson(12), sigma=513170549
Step 1 took 93488ms
Step 2 took 36334ms
********** Factor found in step 2: 987895103890722668057692699475951929826842691
Found probable prime factor of 45 digits: 987895103890722668057692699475951929826842691
Composite cofactor 20576291249695377971301832017847716213382725784697613948242181117163577126798867943121419615352806546244832708544699170564753533853725579 has 137 digits


Number: n
N=20576291249695377971301832017847716213382725784697613948242181117163577126798867943121419615352806546244832708544699170564753533853725579
  ( 137 digits)
SNFS difficulty: 187 digits.
Divisors found:

Sat Oct 18 02:11:00 2008  prp49 factor: 1518369038049027997383307706026952156843005415743
Sat Oct 18 02:11:00 2008  prp89 factor: 13551574573816468594611225834346709335102626184834964057831450659712303002693008791158453
Sat Oct 18 02:11:00 2008  elapsed time 07:20:02 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 82.38 hours.
Scaled time: 167.89 units (timescale=2.038).
Factorization parameters were as follows:
name: KA_8_185_1
n: 20576291249695377971301832017847716213382725784697613948242181117163577126798867943121419615352806546244832708544699170564753533853725579
type: snfs
skew: 1.95
deg: 5
c5: 5
c0: -142
m: 20000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 6500001)
Primes: RFBsize:602489, AFBsize:600661, largePrimes:14480275 encountered
Relations: rels:14249707, finalFF:1207021
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 81.94 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,52,52,2.5,2.5,100000
total time: 82.38 hours.
 --------- CPU info (if available) ----------

255057561087505374421486809017543493507281824822328736172664072622870943274819016016687064416881712869913448033930077799665861204453410865475695152129544602472051677186946183355161<180>

242662686991325883640293520652529620082170431<45>
1051078615545959699341545884622993967437323071752088491484893084626111543125939048761862613236511287009849858949252097935593132930417831<136>

Number: 12
N=255057561087505374421486809017543493507281824822328736172664072622870943274819016016687064416881712869913448033930077799665861204453410865475695152129544602472051677186946183355161
  ( 180 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=242662686991325883640293520652529620082170431 (pp45)
 r2=1051078615545959699341545884622993967437323071752088491484893084626111543125939048761862613236511287009849858949252097935593132930417831 (pp136)
Version: Msieve-1.40
Total time: 266.27 hours.
Scaled time: 463.04 units (timescale=1.739).
Factorization parameters were as follows:
n: 255057561087505374421486809017543493507281824822328736172664072622870943274819016016687064416881712869913448033930077799665861204453410865475695152129544602472051677186946183355161
m: 20000000000000000000000000000000000000
deg: 5
c5: 25
c0: -71
skew: 1.23
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4750000, 9050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1636981 x 1637206
Total sieving time: 261.70 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.01 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 266.27 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

22161794785572222910269009334637656789419305639771418031827569683660478599899581069266736179786434409603598389295392825379772403513623389487504283341029211783642552979<167>

15438781439242353436466247285974725241484236164269320415427863856833823684321139<80>
1435462693269385144356669144659988841699770938160728839576664611704962945304503194046561<88>

N=22161794785572222910269009334637656789419305639771418031827569683660478599899581069266736179786434409603598389295392825379772403513623389487504283341029211783642552979
  ( 167 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=15438781439242353436466247285974725241484236164269320415427863856833823684321139 (pp80)
 r2=1435462693269385144356669144659988841699770938160728839576664611704962945304503194046561 (pp88)
Version: Msieve-1.40
Total time: 342.79 hours.
Scaled time: 681.47 units (timescale=1.988).
Factorization parameters were as follows:
n: 22161794785572222910269009334637656789419305639771418031827569683660478599899581069266736179786434409603598389295392825379772403513623389487504283341029211783642552979
m: 20000000000000000000000000000000000000
deg: 5
c5: 250
c0: -71
skew: 0.78
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4950000, 10350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1737719 x 1737944
Total sieving time: 338.88 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.26 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 342.79 hours.
 --------- CPU info (if available) ----------

399733833830372570282527388178208665038615477184692436745428272043328591004926149531322290011212791187921050965128424557<120>

222819387861185833526742714383975148891821116287140753681<57>
1793981384058924893821212283538113799870047038762128239533917597<64>

Number: trial
N=399733833830372570282527388178208665038615477184692436745428272043328591004926149531322290011212791187921050965128424557
  ( 120 digits)
Divisors found:
 r1=222819387861185833526742714383975148891821116287140753681 (pp57)
 r2=1793981384058924893821212283538113799870047038762128239533917597 (pp64)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 137.34 hours.
Scaled time: 70.59 units (timescale=0.514).
Factorization parameters were as follows:
name: trial
n: 399733833830372570282527388178208665038615477184692436745428272043328591004926149531322290011212791187921050965128424557
skew: 103810.45
# norm 3.61e+16
c5: 24480
c4: -297199816
c3: -1382502805553921
c2: 583359676691979072
c1: 4891292481911117734813456
c0: -805602083914226446018861456
# alpha -5.79
Y1: 1319152663103
Y0: -110304165081665752089315
# Murphy_E 2.71e-10
# M 677867400259774854722433970520922671737645589615500042774504931605111288385311259262026269508935052221438696083141795
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 1
)
Primes: RFBsize:315948, AFBsize:315861, largePrimes:7647100 encountered
Relations: rels:7663422, finalFF:728749
Max relations in full relation-set: 0
Initial matrix: 631890 x 728749 with sparse part having weight 70820634.
Pruned matrix : 559071 x 562294 with weight 47741797.
Total sieving time: 115.87 hours.
Total relation processing time: 1.98 hours.
Matrix solve time: 18.16 hours.
Time per square root: 1.33 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 137.34 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

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

29345081468082457331289864149984090927414031492921287709615885718403229306209097275348874449736436951154902266428180459<119>

13300943125012238261994582238288397549590803371621527<53>
2206240654687068048051269685385242576181184555049501743077860013517<67>

Number: test
N=29345081468082457331289864149984090927414031492921287709615885718403229306209097275348874449736436951154902266428180459
  ( 119 digits)
Divisors found:
 r1=13300943125012238261994582238288397549590803371621527 (pp53)
 r2=2206240654687068048051269685385242576181184555049501743077860013517 (pp67)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 115.85 hours.
Scaled time: 102.41 units (timescale=0.884).
Factorization parameters were as follows:
name: test
n: 29345081468082457331289864149984090927414031492921287709615885718403229306209097275348874449736436951154902266428180459
skew: 165490.48
# norm 8.52e+16
c5: 23520
c4: 4956381832
c3: -2588841180336804
c2: -98228419725155829003
c1: 24426972850082958580741534
c0: 329035407253681913013070439181
# alpha -6.99
Y1: 6596018737759
Y0: -65950451013578676648460
# Murphy_E 3.21e-10
# M 10717586801923053861335544256814480236621499124251542442465227226576716907432907631440614918980170118495814277857599813
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 1
)
Primes: RFBsize:315948, AFBsize:315630, largePrimes:7562889 encountered
Relations: rels:7550887, finalFF:707603
Max relations in full relation-set: 0
Initial matrix: 631657 x 707603 with sparse part having weight 58660544.
Pruned matrix : 568239 x 571461 with weight 40931424.
Total sieving time: 99.73 hours.
Total relation processing time: 2.04 hours.
Matrix solve time: 13.35 hours.
Time per square root: 0.72 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 115.85 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

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

5495449051848404966558928951211083283901429216715746006585959195384341491885404699358947504978452402216834843745238234104756206599299962806060426917068885905884927643515686627839<178>

59751226348705544705899588754973697545158059<44>
2119410875208146103856905118228683168088030579753<49>
43395151023795642508608913869758333942124260030598742045614083839336591591900785381557<86>

N=5495449051848404966558928951211083283901429216715746006585959195384341491885404699358947504978452402216834843745238234104756206599299962806060426917068885905884927643515686627839
  ( 178 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=59751226348705544705899588754973697545158059 (pp44)
 r2=2119410875208146103856905118228683168088030579753 (pp49)
 r3=43395151023795642508608913869758333942124260030598742045614083839336591591900785381557 (pp86)
Version: Msieve v. 1.49
Total time:
Scaled time: 57.74 units (timescale=1.058).
Factorization parameters were as follows:
n: 5495449051848404966558928951211083283901429216715746006585959195384341491885404699358947504978452402216834843745238234104756206599299962806060426917068885905884927643515686627839
m: 100000000000000000000000000000000000000
deg: 5
c5: 80
c0: -71
skew: 0.98
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5550000, 20590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2331609 x 2331750
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,54,54,2.5,2.5,100000
total time:

1311349713579882372201451428875598869708960483660934388713498668498802042845127743928720995032886817171891942443172313430886032172979412591639<142>

55184284617655239499481520668069466583<38>
23763100720895077757767051913135904636208377926379709769243966664971348028566009458240195650842955216833<104>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1824369383
Step 1 took 78899ms
********** Factor found in step 1: 55184284617655239499481520668069466583
Found probable prime factor of 38 digits: 55184284617655239499481520668069466583

165051809676489778799232533609995191951694867758348728757315986368857894589713570411597574902801792062426550640905856899068949991115036314093560068479<150>

623018930152768200925181770453<30>

264922623837477981882833556314428645757482138589655973826954523478386626580757491076446751456674926507600001579631863043<120>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3296638453
Step 1 took 5772ms
Step 2 took 4336ms
********** Factor found in step 2: 623018930152768200925181770453
Found probable prime factor of 30 digits: 623018930152768200925181770453
Composite cofactor 264922623837477981882833556314428645757482138589655973826954523478386626580757491076446751456674926507600001579631863043 has 120 digits

GMP-ECM 6.3

264922623837477981882833556314428645757482138589655973826954523478386626580757491076446751456674926507600001579631863043<120>

22341628263159167008383593121674983262510659<44>
11857802874391626917622851400179698729406042819121040284757584401020695859777<77>

Number: 88881_196
N = 264922623837477981882833556314428645757482138589655973826954523478386626580757491076446751456674926507600001579631863043 (120 digits)
Divisors found:
r1=22341628263159167008383593121674983262510659 (pp44)
r2=11857802874391626917622851400179698729406042819121040284757584401020695859777 (pp77)
Version: Msieve v. 1.44
Total time: 40.93 hours.
Factorization parameters were as follows:
# Murphy_E = 3.181141e-10, selected by Erik Branger
n: 264922623837477981882833556314428645757482138589655973826954523478386626580757491076446751456674926507600001579631863043
Y0: -157889353952908682972678
Y1: 5775588054563
c0: -487666085337291304243574218125
c1: 5541124771859261903397225
c2: 114713679638039235421
c3: -90622599542357
c4: -1521931008
c5: 2700
skew: 232324.9
type: gnfs
# selected mechanically
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2550000, 4550000)
Relations: 9361632
Relations in full relation-set: 1113854 relations
Pruned matrix : 666918 x 667148
Polynomial selection time: 0.00 hours.
Total sieving time: 40.32 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.43 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,5100000,5100000,27,27,51,51,2.5,2.5,100000
total time: 40.93 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

13175661645681548914376314935274179508184869392784799402036014903436213391608790306858088998458119264978359688553984305868100067439273604088480900435006154533494447545628579637623167<182>

824313584757110002391657964889538389<36>

15983797779535385819002227809022590814124871583315895214493723019216050825072930585813776550711972363190630986154383281935187900126734046345072003<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4077115167
Step 1 took 27628ms
Step 2 took 18783ms
********** Factor found in step 2: 824313584757110002391657964889538389
Found probable prime factor of 36 digits: 824313584757110002391657964889538389
Composite cofactor 15983797779535385819002227809022590814124871583315895214493723019216050825072930585813776550711972363190630986154383281935187900126734046345072003 has 146 digits

GMP-ECM 6.2.3

15983797779535385819002227809022590814124871583315895214493723019216050825072930585813776550711972363190630986154383281935187900126734046345072003<146>

154141586807377358162078855119062696130855766379978236196724658617092107<72>
103695557510443291682989484219797735768505312340910524139286089956961018729<75>

N=15983797779535385819002227809022590814124871583315895214493723019216050825072930585813776550711972363190630986154383281935187900126734046345072003
  ( 146 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=154141586807377358162078855119062696130855766379978236196724658617092107 (pp72)
 r2=103695557510443291682989484219797735768505312340910524139286089956961018729 (pp75)
Version: Msieve-1.40
Total time: 635.56 hours.
Scaled time: 1251.42 units (timescale=1.969).
Factorization parameters were as follows:
n: 15983797779535385819002227809022590814124871583315895214493723019216050825072930585813776550711972363190630986154383281935187900126734046345072003
m: 2000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -71
skew: 1.23
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6950000, 16550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2132015 x 2132240
Total sieving time: 629.28 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 5.11 hours.
Time per square root: 0.89 hours.
Prototype def-par.txt line would be:
snfs,197.000,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 635.56 hours.
 --------- CPU info (if available) ----------

107264573549036610937752107606502870726961313183230042489470671070036842906801511307950987243498824014390495353251571021782345539400730210798765559335054083623708739286497<171>

2181736485124043717540785640249<31>

49164770484616078662130837495285105615980477313414831637996342826393591225258796960761072524813073625782737476138348702108473214785930571753<140>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2812342345
Step 1 took 24849ms
Step 2 took 16942ms
********** Factor found in step 2: 2181736485124043717540785640249
Found probable prime factor of 31 digits: 2181736485124043717540785640249
Composite cofactor 49164770484616078662130837495285105615980477313414831637996342826393591225258796960761072524813073625782737476138348702108473214785930571753 has 140 digits

GMP-ECM 6.2.1

49164770484616078662130837495285105615980477313414831637996342826393591225258796960761072524813073625782737476138348702108473214785930571753<140>

3521128876689498073821943017367039<34>
13962786426278128740671773230625546936849553735311330259087179109324555409848968181869463247534214156450327<107>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3922206356
Step 1 took 5694ms
********** Factor found in step 1: 3521128876689498073821943017367039
Found probable prime factor of 34 digits: 3521128876689498073821943017367039
Probable prime cofactor 13962786426278128740671773230625546936849553735311330259087179109324555409848968181869463247534214156450327 has 107 digits

GMP-ECM 6.3

121982117617183034475626674593623835742118415561479638208153501130240086029070159279777295829270671948306210976035503221799307832923250551498916388619627459118019501<165>

5035059133339201777405304847131362763<37>
24226551146040998296750101514199225555882925314179019084966997062802046818459499635731330282923735099275491556716530191841492327<128>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3541823976
Step 1 took 5819ms
Step 2 took 4228ms
********** Factor found in step 2: 5035059133339201777405304847131362763
Found probable prime factor of 37 digits: 5035059133339201777405304847131362763
Probable prime cofactor 24226551146040998296750101514199225555882925314179019084966997062802046818459499635731330282923735099275491556716530191841492327 has 128 digits

GMP-ECM 6.3

3336596489985359915939264219144727636030189901135610931155623610763898162683466009768222759768616063697674121138016458076914754799<130>

266934109321882969123512076096073329<36>
2269461390444973921072207738493031311227<40>
5507782954896929432812339693249213210688359041087430253<55>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2441300670
Step 1 took 24009ms
Step 2 took 15819ms
********** Factor found in step 2: 266934109321882969123512076096073329
Found probable prime factor of 36 digits: 266934109321882969123512076096073329
Composite cofactor 12499700763089512555177361441255918629719761545363041598481827992131976681094193819584498350431 has 95 digits

N = 12499700763089512555177361441255918629719761545363041598481827992131976681094193819584498350431 (95 digits)
Divisors found:
r1=2269461390444973921072207738493031311227 (pp40)
r2=5507782954896929432812339693249213210688359041087430253 (pp55)
Version: Msieve v. 1.48
Total time: 0.93 hours.
Factorization parameters were as follows:
n: 12499700763089512555177361441255918629719761545363041598481827992131976681094193819584498350431
Y0: -70570039622545745545644
Y1: 1406912668817
c0: -50605376455282586390236525
c1: 387152294826905240477
c2: 772714488080761
c3: -719787497
c4: 504
skew: 785293.92 
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [0, 0)
Total raw relations: 2147716
Relations: 190244 relations
Pruned matrix : 116317 x 116547
Polynomial selection time: 0.00 hours.
Total sieving time: 0.86 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.00 hours.
Prototype def-par.txt line would be: gnfs,94,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 0.93 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

GMP-ECM 6.3

3071314686046952690045410100525744658459220090412121481881279609851913092120611712677812081051988664537877334096753587874027259690742423893643438949112674474184917530499513797264195043<184>

118652097220339889332904534055317<33>
25885043399978384637540303354430780020077491468057211175236551060850981128969319134066849298337341326782415354597634879242971471000840539685922757725079<152>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4205159069
Step 1 took 10358ms
Step 2 took 6381ms
********** Factor found in step 2: 118652097220339889332904534055317
Found probable prime factor of 33 digits: 118652097220339889332904534055317
Probable prime cofactor 25885043399978384637540303354430780020077491468057211175236551060850981128969319134066849298337341326782415354597634879242971471000840539685922757725079 has 152 digits

GMP-ECM 6.3

7262805757446389044537499781521417168350554477494474170531637956676965753234020164808211479731134242000704317823426403720955281310844968325361488175803360631379098838847689734777851<181>

69680688630864369751451404292563051221601<41>

104229821779192367022857235348946352817863239947744709282928007209316304078750919764317084097441749898421534704581926935824558741535868556251<141>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3561572561
Step 1 took 372045ms
********** Factor found in step 1: 69680688630864369751451404292563051221601
Found probable prime factor of 41 digits: 69680688630864369751451404292563051221601

104229821779192367022857235348946352817863239947744709282928007209316304078750919764317084097441749898421534704581926935824558741535868556251<141>

4309554542165218832386885813455078002206135737791<49>
24185753019110165179722246904980354264628301899949220682604186295791236861009832418506361061<92>

N=104229821779192367022857235348946352817863239947744709282928007209316304078750919764317084097441749898421534704581926935824558741535868556251
  ( 141 digits)
Divisors found:
 r1=4309554542165218832386885813455078002206135737791 (pp49)
 r2=24185753019110165179722246904980354264628301899949220682604186295791236861009832418506361061 (pp92)
Version: Msieve-1.40
Total time: 478.02 hours.
Scaled time: 930.22 units (timescale=1.946).
Factorization parameters were as follows:
# Murphy_E = 2.617e-11, selected by Dmitry Domanov
n: 104229821779192367022857235348946352817863239947744709282928007209316304078750919764317084097441749898421534704581926935824558741535868556251
Y0: -1640956443405304337968429664
Y1: 2324761622991011
c0: -5636509042668576640298502354722343
c1: 88466096895831518947996232786
c2: -104895159168010641339711
c3: -22380015498068334
c4: 37320994442
c5: 8760
skew: 1660833.86
type: gnfs
# selected mechanically
rlim: 18300000
alim: 18300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 600000
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [9150000, 15750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2027039 x 2027264
Total sieving time: 471.06 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 4.73 hours.
Time per square root: 1.97 hours.
Prototype def-par.txt line would be:
gnfs,140,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,18300000,18300000,28,28,56,56,2.6,2.6,100000
total time: 478.02 hours.
 --------- CPU info (if available) ----------

1259166640691791359448412656055527681956288760072705728534515256727367503142169191200596679331603540453139155154935946642639461495197811934328320666833862121476069332723043221002461817828099<190>

16031023743309765864868705991143710661313<41>

78545616353246306128130331054229193050180886189572862058599469573223354564772793907385375222364805397425664518918693557880220942752328085931262448323<149>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1114701796
Step 1 took 117766ms
Step 2 took 38562ms
********** Factor found in step 2: 16031023743309765864868705991143710661313
Found probable prime factor of 41 digits: 16031023743309765864868705991143710661313

78545616353246306128130331054229193050180886189572862058599469573223354564772793907385375222364805397425664518918693557880220942752328085931262448323<149>

239901643381171539431338794855412900800728008249909650425061101536841289221<75>
327407579398894967414480153022752223595893972075285686527863522846851559463<75>

327407579398894967414480153022752223595893972075285686527863522846851559463
239901643381171539431338794855412900800728008249909650425061101536841289221

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

13968923146338450213616014232866325898802720839566185537466794899129844007875507199834354913685883464174353319855583040904612233274657987529280464705876947330157973971415699372451517227296483<191>

42478128021894691226217927250722783778594689917081683096344241553628189034015289<80>
328849782154674654531159715194902363133275579767955242493066273704000518538781530358203610770261004291721841147<111>

Number: n
N=13968923146338450213616014232866325898802720839566185537466794899129844007875507199834354913685883464174353319855583040904612233274657987529280464705876947330157973971415699372451517227296483
  ( 191 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Jul 20 09:52:45 2021  p80 factor: 42478128021894691226217927250722783778594689917081683096344241553628189034015289
Tue Jul 20 09:52:45 2021  p111 factor: 328849782154674654531159715194902363133275579767955242493066273704000518538781530358203610770261004291721841147
Tue Jul 20 09:52:45 2021  elapsed time 02:39:15 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 8x10^206-71 = 8(205)1
#
n: 13968923146338450213616014232866325898802720839566185537466794899129844007875507199834354913685883464174353319855583040904612233274657987529280464705876947330157973971415699372451517227296483
m: 100000000000000000000000000000000000000000
deg: 5
c5: 80
c0: -71
skew: 0.98
# Murphy_E = 7.515e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8384544 hash collisions in 55431139 relations (48915254 unique)
Msieve: matrix is 2639344 x 2639570 (918.5 MB)

Sieving start time : 2021/07/19 16:46:49
Sieving end time  : 2021/07/20 07:12:10

Total sieving time: 14hrs 25min 21secs.

Total relation processing time: 2hrs 21min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 32sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472)
[    0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

165077703456595277993723843377091534300406004951885543492361388085517582745792631307820111164116637953060072554889106140948344123127509463181109893960268488925616579664199621911727131<183>

3940097200547355592159179371665852135673<40>
41896860674823655875658373545372456197828904314828746853752652013954380430093901529516638533511860385303118741717786584181198079666389181818547<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2540369441
Step 1 took 23524ms
Step 2 took 8985ms
********** Factor found in step 2: 3940097200547355592159179371665852135673
Found probable prime factor of 40 digits: 3940097200547355592159179371665852135673

2380354723372757253991811523466967631208849827407287633373628861953313235723702246620536705065613868699124471980144514789133589813788551311606668411<148>

37143233111958937568446020659432947<35>
184678631712862980520826793434407972972949<42>
347012667544523488488874969433663798206723029890967096216513183548710837<72>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2332664627
Step 1 took 17324ms
Step 2 took 7355ms
********** Factor found in step 2: 37143233111958937568446020659432947
Found probable prime factor of 35 digits: 37143233111958937568446020659432947

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=352501319
Step 1 took 11346ms
Step 2 took 5696ms
********** Factor found in step 2: 184678631712862980520826793434407972972949
Found probable prime factor of 42 digits: 184678631712862980520826793434407972972949

10722803279650466610773076652768078904057579376809415559184598773500172511962178177750331036288497729316399868042595578623923675250432922008908989487559239973066691<164>

590303059407651362849940776317430246926342641025758220578819283675551064720224102205926778815995164224225102036122387<117>

116129508019773264964135483093313279<36>
2911027016577573683573674127985907137703<40>
1746168750762909392937056831075053249490251<43>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4039921823
Step 1 took 4290ms
Step 2 took 7254ms
********** Factor found in step 2: 116129508019773264964135483093313279
Found probable prime factor of 36 digits: 116129508019773264964135483093313279
Composite cofactor 5083144408974340971119306496070931298993385485033892811810515271009119507213033453 has 82 digits

C:\yafu>yafu siqs(5083144408974340971119306496070931298993385485033892811810515271009119507213033453)

Found expression: 5083144408974340971119306496070931298993385485033892811810515271009119507213033453

starting SIQS on c82: 5083144408974340971119306496070931298993385485033892811810515271009119507213033453

==== sieving in progress ( 4 threads):   48304 relations needed ====
====            Press ctrl-c to abort and save state            ====
48491 rels found: 18126 full + 30365 from 419161 partial, (1724.89 rels/sec)

SIQS elapsed time = 272.7509 seconds.

***factors found***

PRP43 = 1746168750762909392937056831075053249490251
PRP40 = 2911027016577573683573674127985907137703

GMP-ECM 6.3, YAFU 1.24

13604600078169969063684995654000496254294058692021718923828158146605969696934943991845943942053705978140301217563859403564103974184677646958767661639938231856413481931054877<173>

2441799211665085557784215739751<31>

5571547411915521888302369988266869915322136032841870168392857669032223515773927469011695252189773049457253190256443343250571416762763342481627<142>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=684246055
Step 1 took 7581ms
Step 2 took 5694ms
********** Factor found in step 2: 2441799211665085557784215739751
Found probable prime factor of 31 digits: 2441799211665085557784215739751
Composite cofactor 5571547411915521888302369988266869915322136032841870168392857669032223515773927469011695252189773049457253190256443343250571416762763342481627 has 142 digits

GMP-ECM 6.3

5571547411915521888302369988266869915322136032841870168392857669032223515773927469011695252189773049457253190256443343250571416762763342481627<142>

330497362100175179174331199130130212041<39>
16858069233928595721318624667556695586329963710385267724124686969540019830398405803903203824915877807747<104>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2994447103
Step 1 took 82947ms
Step 2 took 28231ms
********** Factor found in step 2: 330497362100175179174331199130130212041
Found probable prime factor of 39 digits: 330497362100175179174331199130130212041

1344456101767256066836207355955832627224877134184131229471130112248720304138850331850133559453180766460713887401114364356118636979009137594854662921085901326639244957363344278485739737<184>

12767803126260968246025150310979092720530735167<47>
105300503811964556372251373908604237045984859757808342275995929225791071298840813793679073201224942665540198130836085208350564607705108711<138>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2335591317
Step 1 took 357986ms
Step 2 took 96624ms
********** Factor found in step 2: 12767803126260968246025150310979092720530735167
Found probable prime factor of 47 digits: 12767803126260968246025150310979092720530735167

16959338841768999494565364438163262758930270817072550864096291075061057409649073768789126248711254175985864450966349329113751611729012348546175912713<149>

24465591599254719768407646501810389846829264489141715280097713604921553<71>
693191446974273100214105974199219696457146421124949025740111040116453704641721<78>

Number: 88881_214
N = 16959338841768999494565364438163262758930270817072550864096291075061057409649073768789126248711254175985864450966349329113751611729012348546175912713 (149 digits)
Divisors found:
r1=24465591599254719768407646501810389846829264489141715280097713604921553 (pp71)
r2=693191446974273100214105974199219696457146421124949025740111040116453704641721 (pp78)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 94.65 hours.
Factorization parameters were as follows:
n: 16959338841768999494565364438163262758930270817072550864096291075061057409649073768789126248711254175985864450966349329113751611729012348546175912713
# norm 2.654616e-14 alpha -7.734121 e 6.887e-12 rroots 5
skew: 18921198.41
c0: -706176385370356951631772053895800196135
c1: 75996041586224354024142028884591
c2: 22366246174397913142235009
c3: -228355380958945295
c4: -69939814426
c5: 624
Y0: -122136612053808184388743145774
Y1: 12588299658607931
type: gnfs
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 43369978
Relations: 6212216 relations
Pruned matrix : 3715658 x 3715885
Total sieving time: 85.12 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 8.65 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: gnfs,148,5,65,2000,1e-05,0.28,250,20,50000,3600,19700000,19700000,29,29,58,58,2.6,2.6,100000
total time: 94.65 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.29GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

8824077373946860421067734901649536094058539509329316306540076892093993518942851366952618286736143597346811896844602178632835157631655679672113197538690995358364354869180026415482343<181>

10317142198872014687494956038474867532646891837<47>

855283101061804420714412316427878222836940525804918297025846208476752515322382259096816700369772806671797562829052211289523631590641139<135>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4253899626
Step 1 took 344338ms
********** Factor found in step 1: 10317142198872014687494956038474867532646891837
Found probable prime factor of 47 digits: 10317142198872014687494956038474867532646891837

855283101061804420714412316427878222836940525804918297025846208476752515322382259096816700369772806671797562829052211289523631590641139<135>

15568663015450004820295382448648125504772876148206611563968822977957<68>
54936194598922203489945097920300932132051263273697948792313926975927<68>

Tue Jun 26 11:38:11 2012  commencing relation filtering
Tue Jun 26 11:38:11 2012  estimated available RAM is 2006.1 MB
Tue Jun 26 11:38:11 2012  commencing duplicate removal, pass 1
Tue Jun 26 11:43:00 2012  found 1571549 hash collisions in 12575782 relations
Tue Jun 26 11:43:53 2012  added 56 free relations
Tue Jun 26 11:43:53 2012  commencing duplicate removal, pass 2
Tue Jun 26 11:44:07 2012  found 1257840 duplicates and 11317998 unique relations
Tue Jun 26 11:44:07 2012  memory use: 49.3 MB
Tue Jun 26 11:44:07 2012  reading ideals above 7798784
Tue Jun 26 11:44:13 2012  commencing singleton removal, initial pass
Tue Jun 26 11:48:58 2012  memory use: 344.5 MB
Tue Jun 26 11:48:58 2012  reading all ideals from disk
Tue Jun 26 11:48:59 2012  memory use: 199.5 MB
Tue Jun 26 11:49:01 2012  commencing in-memory singleton removal
Tue Jun 26 11:49:02 2012  begin with 11317998 relations and 10972641 unique ideals
Tue Jun 26 11:49:25 2012  reduce to 5382183 relations and 4184607 ideals in 19 passes
Tue Jun 26 11:49:25 2012  max relations containing the same ideal: 46
Tue Jun 26 11:49:27 2012  reading ideals above 100000
Tue Jun 26 11:49:27 2012  commencing singleton removal, initial pass
Tue Jun 26 11:52:11 2012  memory use: 172.2 MB
Tue Jun 26 11:52:11 2012  reading all ideals from disk
Tue Jun 26 11:52:12 2012  memory use: 206.7 MB
Tue Jun 26 11:52:14 2012  keeping 5208870 ideals with weight <= 200, target excess is 30371
Tue Jun 26 11:52:16 2012  commencing in-memory singleton removal
Tue Jun 26 11:52:18 2012  begin with 5382240 relations and 5208870 unique ideals
Tue Jun 26 11:52:44 2012  reduce to 5375901 relations and 5202256 ideals in 12 passes
Tue Jun 26 11:52:44 2012  max relations containing the same ideal: 200
Tue Jun 26 11:52:55 2012  removing 637086 relations and 567879 ideals in 69207 cliques
Tue Jun 26 11:52:56 2012  commencing in-memory singleton removal
Tue Jun 26 11:52:58 2012  begin with 4738815 relations and 5202256 unique ideals
Tue Jun 26 11:53:15 2012  reduce to 4683139 relations and 4577703 ideals in 9 passes
Tue Jun 26 11:53:15 2012  max relations containing the same ideal: 188
Tue Jun 26 11:53:24 2012  removing 473032 relations and 403825 ideals in 69207 cliques
Tue Jun 26 11:53:25 2012  commencing in-memory singleton removal
Tue Jun 26 11:53:27 2012  begin with 4210107 relations and 4577703 unique ideals
Tue Jun 26 11:53:42 2012  reduce to 4173126 relations and 4136382 ideals in 9 passes
Tue Jun 26 11:53:42 2012  max relations containing the same ideal: 173
Tue Jun 26 11:54:00 2012  relations with 0 large ideals: 93
Tue Jun 26 11:54:00 2012  relations with 1 large ideals: 63
Tue Jun 26 11:54:00 2012  relations with 2 large ideals: 502
Tue Jun 26 11:54:00 2012  relations with 3 large ideals: 6727
Tue Jun 26 11:54:00 2012  relations with 4 large ideals: 51772
Tue Jun 26 11:54:00 2012  relations with 5 large ideals: 233911
Tue Jun 26 11:54:00 2012  relations with 6 large ideals: 657665
Tue Jun 26 11:54:00 2012  relations with 7+ large ideals: 3222393
Tue Jun 26 11:54:00 2012  commencing 2-way merge
Tue Jun 26 11:54:12 2012  reduce to 2510390 relation sets and 2473646 unique ideals
Tue Jun 26 11:54:12 2012  commencing full merge
Tue Jun 26 11:56:40 2012  memory use: 296.3 MB
Tue Jun 26 11:56:41 2012  found 1286894 cycles, need 1281846
Tue Jun 26 11:56:47 2012  weight of 1281846 cycles is about 89912154 (70.14/cycle)
Tue Jun 26 11:56:47 2012  distribution of cycle lengths:
Tue Jun 26 11:56:47 2012  1 relations: 166763
Tue Jun 26 11:56:47 2012  2 relations: 161308
Tue Jun 26 11:56:47 2012  3 relations: 162222
Tue Jun 26 11:56:47 2012  4 relations: 143216
Tue Jun 26 11:56:47 2012  5 relations: 122896
Tue Jun 26 11:56:47 2012  6 relations: 104904
Tue Jun 26 11:56:47 2012  7 relations: 87548
Tue Jun 26 11:56:47 2012  8 relations: 71810
Tue Jun 26 11:56:47 2012  9 relations: 58656
Tue Jun 26 11:56:47 2012  10+ relations: 202523
Tue Jun 26 11:56:47 2012  heaviest cycle: 24 relations
Tue Jun 26 11:56:48 2012  commencing cycle optimization
Tue Jun 26 11:57:33 2012  start with 7086302 relations
Tue Jun 26 11:58:15 2012  pruned 143204 relations
Tue Jun 26 11:58:19 2012  memory use: 242.7 MB
Tue Jun 26 11:58:19 2012  distribution of cycle lengths:
Tue Jun 26 11:58:19 2012  1 relations: 166763
Tue Jun 26 11:58:19 2012  2 relations: 164899
Tue Jun 26 11:58:19 2012  3 relations: 167395
Tue Jun 26 11:58:19 2012  4 relations: 145820
Tue Jun 26 11:58:19 2012  5 relations: 124794
Tue Jun 26 11:58:19 2012  6 relations: 105299
Tue Jun 26 11:58:19 2012  7 relations: 87377
Tue Jun 26 11:58:19 2012  8 relations: 71118
Tue Jun 26 11:58:19 2012  9 relations: 57613
Tue Jun 26 11:58:19 2012  10+ relations: 190768
Tue Jun 26 11:58:19 2012  heaviest cycle: 24 relations
Tue Jun 26 11:58:23 2012  RelProcTime: 1212
Tue Jun 26 11:58:24 2012  
Tue Jun 26 11:58:24 2012  commencing linear algebra
Tue Jun 26 11:58:25 2012  read 1281846 cycles
Tue Jun 26 11:58:38 2012  cycles contain 4120484 unique relations
Tue Jun 26 12:00:16 2012  read 4120484 relations
Tue Jun 26 12:00:30 2012  using 20 quadratic characters above 134217594
Tue Jun 26 12:01:32 2012  building initial matrix
Tue Jun 26 12:04:30 2012  memory use: 557.8 MB
Tue Jun 26 12:04:35 2012  read 1281846 cycles
Tue Jun 26 12:04:35 2012  matrix is 1281667 x 1281846 (390.2 MB) with weight 122740984 (95.75/col)
Tue Jun 26 12:04:35 2012  sparse part has weight 86903364 (67.80/col)
Tue Jun 26 12:06:00 2012  filtering completed in 2 passes
Tue Jun 26 12:06:01 2012  matrix is 1280641 x 1280820 (390.1 MB) with weight 122702007 (95.80/col)
Tue Jun 26 12:06:01 2012  sparse part has weight 86894225 (67.84/col)
Tue Jun 26 12:06:11 2012  matrix starts at (0, 0)
Tue Jun 26 12:06:12 2012  matrix is 1280641 x 1280820 (390.1 MB) with weight 122702007 (95.80/col)
Tue Jun 26 12:06:12 2012  sparse part has weight 86894225 (67.84/col)
Tue Jun 26 12:06:12 2012  saving the first 48 matrix rows for later
Tue Jun 26 12:06:12 2012  matrix includes 64 packed rows
Tue Jun 26 12:06:13 2012  matrix is 1280593 x 1280820 (375.4 MB) with weight 97983322 (76.50/col)
Tue Jun 26 12:06:13 2012  sparse part has weight 85593976 (66.83/col)
Tue Jun 26 12:06:13 2012  using block size 65536 for processor cache size 2048 kB
Tue Jun 26 12:07:11 2012  commencing Lanczos iteration (8 threads)
Tue Jun 26 12:07:11 2012  memory use: 361.6 MB
Tue Jun 26 12:07:33 2012  linear algebra at 0.1%, ETA 4h41m
Tue Jun 26 12:07:39 2012  checkpointing every 290000 dimensions
Tue Jun 26 16:23:10 2012  lanczos halted after 20252 iterations (dim = 1280593)
Tue Jun 26 16:23:17 2012  recovered 30 nontrivial dependencies
Tue Jun 26 16:23:18 2012  BLanczosTime: 15894
Tue Jun 26 16:23:18 2012  
Tue Jun 26 16:23:18 2012  commencing square root phase
Tue Jun 26 16:23:18 2012  reading relations for dependency 1
Tue Jun 26 16:23:19 2012  read 640942 cycles
Tue Jun 26 16:23:25 2012  cycles contain 2059398 unique relations
Tue Jun 26 16:24:42 2012  read 2059398 relations
Tue Jun 26 16:25:08 2012  multiplying 2059398 relations
Tue Jun 26 16:32:23 2012  multiply complete, coefficients have about 94.87 million bits
Tue Jun 26 16:32:26 2012  initial square root is modulo 6450391
Tue Jun 26 16:42:25 2012  GCD is N, no factor found
Tue Jun 26 16:42:25 2012  reading relations for dependency 2
Tue Jun 26 16:42:26 2012  read 641714 cycles
Tue Jun 26 16:42:33 2012  cycles contain 2063934 unique relations
Tue Jun 26 16:43:37 2012  read 2063934 relations
Tue Jun 26 16:44:04 2012  multiplying 2063934 relations
Tue Jun 26 16:51:17 2012  multiply complete, coefficients have about 95.07 million bits
Tue Jun 26 16:51:20 2012  initial square root is modulo 6673609
Tue Jun 26 17:01:44 2012  sqrtTime: 2306

prp68 = 15568663015450004820295382448648125504772876148206611563968822977957
prp68 = 54936194598922203489945097920300932132051263273697948792313926975927
NFS elapsed time = 309256.5482 seconds.

836970199924433409527391589163054821661114560960137270058674118192988088748063471682214496160222486354281436636093365248111626693708831250890461919934596918412317920252962448693260589<183>

389048877549895916629690959058542492925843523080418718366570294573500701138499038478733919195051856382290498760871969705228081006547927699528688028653116981958953394777990641569<177>

24205682129762491945213883431110112125071630882770416220156642095607188765805179736231227878339531938479513782966911922247598191655885590871341150345233588588466678930420504851914846249774520815384005104629<206>

23381515639302400531268251844031909048723020489074314618208851061<65>
1035248634142208278265264579801859346407276342279447972255846063995377354011219494303433505688886334372333963289748749646268614844598275068289<142>

Number: 88881_219
N = 24205682129762491945213883431110112125071630882770416220156642095607188765805179736231227878339531938479513782966911922247598191655885590871341150345233588588466678930420504851914846249774520815384005104629 (206 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=23381515639302400531268251844031909048723020489074314618208851061 (pp65)
r2=1035248634142208278265264579801859346407276342279447972255846063995377354011219494303433505688886334372333963289748749646268614844598275068289 (pp142)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 46.72 hours.
Factorization parameters were as follows:
n: 24205682129762491945213883431110112125071630882770416220156642095607188765805179736231227878339531938479513782966911922247598191655885590871341150345233588588466678930420504851914846249774520815384005104629
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4
c0: -355
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 7721878 relations
Pruned matrix : 6744269 x 6744494
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 35.81 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 10.42 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 46.72 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1525623809694347298689454180584433361779853179743557854919822944670640449697953198571045846453901327329546933130659449723091792591710282255913183375547286068094164273415511717883751<181>

194549827486737558415857210377467102189068921383728777<54>
362203997176575941779333711014520904346049809620888735443<57>
21650272608904255118448985450881862261060164525363408395267095898881141<71>

Number: 88881_220
N = 1525623809694347298689454180584433361779853179743557854919822944670640449697953198571045846453901327329546933130659449723091792591710282255913183375547286068094164273415511717883751 (181 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=194549827486737558415857210377467102189068921383728777 (pp54)
r2=362203997176575941779333711014520904346049809620888735443 (pp57)
r3=21650272608904255118448985450881862261060164525363408395267095898881141 (pp71)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 85.84 hours.
Factorization parameters were as follows:
n: 1525623809694347298689454180584433361779853179743557854919822944670640449697953198571045846453901327329546933130659449723091792591710282255913183375547286068094164273415511717883751
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8
c0: -71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 25324517
Relations: 8869912 relations
Total pre-computation time approximately 700 CPU-days.
Pre-computation saved approximately 13 G rational relations.
Total batch smoothness checking time: 45.12 hours.
Total relation processing time: 0.49 hours.
Pruned matrix : 7394220 x 7394445
Matrix solve time: 39.78 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 85.84 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory

3227873156432197678587379268329513585628538557336463134310710974065343456935577179932961960019807564423263162796670457991488856383689386424677039019512772575500391942175441980886067265247541383789444857729139<208>

30987477126971949765074810486201246201901184175996289738172810588205709278813288396279355269808937<98>
104167020219358549910902827070766985775996899556080918008336230123814026790637294933581546332031266104618444347<111>

Number: 88881_221
N = 3227873156432197678587379268329513585628538557336463134310710974065343456935577179932961960019807564423263162796670457991488856383689386424677039019512772575500391942175441980886067265247541383789444857729139 (208 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=30987477126971949765074810486201246201901184175996289738172810588205709278813288396279355269808937 (pp98)
r2=104167020219358549910902827070766985775996899556080918008336230123814026790637294933581546332031266104618444347 (pp111)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 67.01 hours.
Factorization parameters were as follows:
n: 3227873156432197678587379268329513585628538557336463134310710974065343456935577179932961960019807564423263162796670457991488856383689386424677039019512772575500391942175441980886067265247541383789444857729139
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 80
c0: -71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 6954696 relations
Pruned matrix : 6290878 x 6291103
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 32.09 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 33.95 hours.
time per square root: 0.58 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 67.01 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1385088247641782160284540281659825357238569306506775628581557408973590777837991533706375746689713480712111324675760576231219203693008817416540624995194746209748580458852946159939663369810345573369703809<202>

37288845583129272134992916724005500689614175107207417323<56>
37144841197991998650791350389960868681155899193209065385177881192282111099911075630464587386335059220507926136091075827511928340882950351455542083<146>

Number: 88881_222
N = 1385088247641782160284540281659825357238569306506775628581557408973590777837991533706375746689713480712111324675760576231219203693008817416540624995194746209748580458852946159939663369810345573369703809 (202 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=37288845583129272134992916724005500689614175107207417323 (pp56)
r2=37144841197991998650791350389960868681155899193209065385177881192282111099911075630464587386335059220507926136091075827511928340882950351455542083 (pp146)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 68.94 hours.
Factorization parameters were as follows:
n: 1385088247641782160284540281659825357238569306506775628581557408973590777837991533706375746689713480712111324675760576231219203693008817416540624995194746209748580458852946159939663369810345573369703809
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 800
c0: -71
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: 33378542
Relations: 9146118 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 33.68 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 7830271 x 7830496
Matrix solve time: 34.66 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 68.94 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

6174125782377501485649016384586294984294567541077230595880314571708612133700693817384794671729449808216217884898860102027428553788212050349995755288524615467728616301235596922198297484815509403965332283731950329158080773<220>

98263487858750382170311290588365155411425387193222338731378792677353973956163211222473954699315288827553<104>
62832349196199373636662749853746651808523429153331075703563234744058752503661699664976547489953648708699134147488741<116>

Number: n
N=6174125782377501485649016384586294984294567541077230595880314571708612133700693817384794671729449808216217884898860102027428553788212050349995755288524615467728616301235596922198297484815509403965332283731950329158080773  ( 220 digits)
SNFS difficulty: 225 digits.
Divisors found:

Wed Jun  3 01:55:05 2020  p104 factor: 98263487858750382170311290588365155411425387193222338731378792677353973956163211222473954699315288827553
Wed Jun  3 01:55:05 2020  p116 factor: 62832349196199373636662749853746651808523429153331075703563234744058752503661699664976547489953648708699134147488741
Wed Jun  3 01:55:05 2020  elapsed time 13:27:59 (Msieve 1.54 - dependency 7)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.118).
Factorization parameters were as follows:
#
# N = 8x10^224-71 = 8(223)1
#
n: 6174125782377501485649016384586294984294567541077230595880314571708612133700693817384794671729449808216217884898860102027428553788212050349995755288524615467728616301235596922198297484815509403965332283731950329158080773
m: 20000000000000000000000000000000000000
deg: 6
c6: 25
c0: -142
skew: 1.34
# Murphy_E = 2.051e-12
type: snfs
lss: 1
rlim: 40000000
alim: 40000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 40000000/40000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 88800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9442198 hash collisions in 57855716 relations (50632594 unique)
Msieve: matrix is 5114124 x 5114349 (1806.9 MB)

Sieving start time: 2020/05/31 12:45:55
Sieving end time  : 2020/06/02 12:26:11

Total sieving time: 47hrs 40min 16secs.

Total relation processing time: 11hrs 55min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 12min 32sec.

Prototype def-par.txt line would be:
snfs,225,6,0,0,0,0,0,0,0,0,40000000,40000000,29,29,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149558] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283204K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420256K reserved, 0K cma-reserved)
[    0.184558] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.59 BogoMIPS (lpj=11977184)
[    0.182227] smpboot: Total of 16 processors activated (95817.47 BogoMIPS)

30337309648148905435882435083197968314673730322743817243687739525947785207708751282805240645851794588509035889332937923463307950806971924325055907332956027971647368658825010181417884182037326697203<197>

3964029975776655174398712768474025998318527854800118966485618021086766466968251058231248536498714333770362683125239845491823417666634107115453131165227949239664613135622977858499302189505695421645965238598606194537119749<220>

5729854332346693362122984441347824814432921427106920172476709636936745650581194802350283101485145840679470175004810784693364261490032963067499859384378874024363217243231633914703923346171212516379<196>

14011144275442990383142149311680682788972012236713971729688328878553797202829479475224375301529021764922027387309136185553262446717652737823898654015996253270339524975798424665540707856299853930028811507<203>

50912653927759503474083837627<29>
275199644774431703470081224888928720082162538615235416967768918831461271577779075561515253604235057135097452978547788645649396631870825113858929987167394512851460765707334441<174>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1019484092
Step 1 took 12200ms
Step 2 took 7254ms
********** Factor found in step 2: 50912653927759503474083837627
Found probable prime factor of 29 digits: 50912653927759503474083837627
Probable prime cofactor 275199644774431703470081224888928720082162538615235416967768918831461271577779075561515253604235057135097452978547788645649396631870825113858929987167394512851460765707334441 has 174 digits

GMP-ECM 6.3

70152525216829646212251707299156669146797341705640008008216982856674458881400718573022002012442092538469498532503257743408101378230649538130173767820771846750397359269446303388036721<182>

47370418456740998259248392198466307257<38>

1480935307356286692952012460689624350932749984257489639861065225790557522639488248652885703744331038976544595702928969745680114280636499958975353<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3925011363
Step 1 took 23385ms
Step 2 took 8959ms
********** Factor found in step 2: 47370418456740998259248392198466307257
Found probable prime factor of 38 digits: 47370418456740998259248392198466307257

1480935307356286692952012460689624350932749984257489639861065225790557522639488248652885703744331038976544595702928969745680114280636499958975353<145>

446507526265589296687141900185064832058821<42>
3316708499277130695693432566615177387957528902328899995961896456822565568872733198446545421179655405093<103>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=324426153
Step 1 took 235122ms
Step 2 took 71915ms
********** Factor found in step 2: 446507526265589296687141900185064832058821
Found probable prime factor of 42 digits: 446507526265589296687141900185064832058821

2358939083300259079313975650209906227062248922869971871065108747813460355719432058651242212204873004108684000075919903557241111732564890134436477435899847819697299226147748793031773463474263599833608079047669897815001617<220>

34472982831187554914591610362792734442731469339<47>

68428632789099333071738606012489069858511420365989555089794563549345201292592621327739236493999137295427949599662710670973473535945633223699480290824124571976472707136622403<173>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2680782020
Step 1 took 609605ms
Step 2 took 145763ms
********** Factor found in step 2: 34472982831187554914591610362792734442731469339
Found probable prime factor of 47 digits: 34472982831187554914591610362792734442731469339

921399210207192420764123553382507482832614429183431116766095535425235992040868448590243181834946368784134690447818679979404889337321589596817351584632409974064234337042863475152036385119243030538060804075157<207>

16739065912339547097215623072899734953859<41>
55044840317401702875716133865217325795029099942765903830181077539021565690867851423559994070578820553918727885286818811795091195047518616514158206197397555497625519623<167>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=660644900
Step 1 took 135838ms
Step 2 took 42938ms
********** Factor found in step 2: 16739065912339547097215623072899734953859
Found probable prime factor of 41 digits: 16739065912339547097215623072899734953859

73699435278077181733594966328570507328487595463799758634349464297229822476485273931588499203124856055790472505504426572331389510727874047665109766096417286202544473002975614699352366212493896765516034233387686666850915254861859621<230>

1164252131257828874487863194039162606682305411<46>

63301954361426983797984703382976070783487364436923726181231181184965029855895358205058251750872471940799024816307049750608163895740973867242212621292776270575915413392060493612946669111<185>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3700842197
Step 1 took 455458ms
Step 2 took 115778ms
********** Factor found in step 2: 1164252131257828874487863194039162606682305411
Found probable prime factor of 46 digits: 1164252131257828874487863194039162606682305411

18861782887124485571307721257391454390438682722894211079027949314199237228132565426486971111832541298423570216363881660694133806500207457567049620014541873467932086422032506684741403939260108828540430639150947839755514475582671<227>

100687468128195882787221361932803903175985518666613859<54>

187329994862017500603409212574094163908420381991468334304159113670922039778239898738679161287048836486639842003061987023531279519882258915254183170607601461529887578151029669<174>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3059727795
Step 1 took 452056ms
Step 2 took 110881ms
********** Factor found in step 2: 100687468128195882787221361932803903175985518666613859
Found probable prime factor of 54 digits: 100687468128195882787221361932803903175985518666613859

175814273115636390977517445456353157067084464379649132534078589030963881407372011413434898953982803953659871327371524596950535923726719353190029851495100010819094175393927450605345924231179334618777552264208735638200533<219>

28230567184692225428609607145648234998045648893911969<53>
6227798115617390804939914429642207718049771469673647134781903272021577760066398375622896685720086824050723061779779901123602410181215528596782165599100719700302360757<166>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4248429471
Step 1 took 496837ms
Step 2 took 118549ms
********** Factor found in step 2: 28230567184692225428609607145648234998045648893911969
Found probable prime factor of 53 digits: 28230567184692225428609607145648234998045648893911969

728878247266478798298433731756405245372306453214671954678350584970348321803390559386721842749984739111697858100160626543741350265175017333635817805948922034627183332012241510162840511417422194524848826096027886881740415478822898074577<234>

114789042738133295362082223517839547237575284309560959340224916118768295645388970540178787522083145994727922843414136703692171283821590500274086883935297202867694457362075121204095471400724670036665795933378572432596031257541952639<231>

2274096534050001381048332068515010724133523222712150767936798222545615129566366645027187689083<94>
50476767814997860271342523136608686115657043730451420072859200927395252300760682389240731682398719615329444940883618766208325316671536333<137>

Number: 88881_240
N = 114789042738133295362082223517839547237575284309560959340224916118768295645388970540178787522083145994727922843414136703692171283821590500274086883935297202867694457362075121204095471400724670036665795933378572432596031257541952639 (231 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=2274096534050001381048332068515010724133523222712150767936798222545615129566366645027187689083 (pp94)
r2=50476767814997860271342523136608686115657043730451420072859200927395252300760682389240731682398719615329444940883618766208325316671536333 (pp137)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 75.94 hours.
Factorization parameters were as follows:
n: 114789042738133295362082223517839547237575284309560959340224916118768295645388970540178787522083145994727922843414136703692171283821590500274086883935297202867694457362075121204095471400724670036665795933378572432596031257541952639 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8
c0: -71
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 100000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 10000000
maxb: 10000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/100000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 47632299
Relations: 15908088 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.15 hours.
Total relation processing time: 0.49 hours.
Pruned matrix : 11728051 x 11728276
Matrix solve time: 61.33 hours.
time per square root: 0.98 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,100000000,29,29,58,58,2.8,2.8,100000
total time: 75.94 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS; NFS_factory, Msieve

96985949179230581586005017048426007598780625839916566083243888464662851283723014071090745482957958701604767745915269953559980696740042835217227208135222274455257010804076534976254274488337154355106546185532959901997487<218>

489410502872025670428045218217890386482641801085939273563919915194659310138697333082772040525205274959803949165801972672554382319469890173544291990741982288520083852945404219826352135899824596688943493042692711954771275689643112147119<234>

974804972724469315479693099831214746250660490800012590970300965626118327578502924144210798617533554726002600416101677902142153228165922588341291223926294359317859805135539562264080679349175629971423592278939744308261016982884326193<231>

827170265231779905953382540114969157<36>

1178481642411699786178510092817362402483771142017388731162966969849674947788910587894893296801403433931223120140449969194559042700589381896144479970152723502907171784597851723695761163546332887549<196>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3786506540
Step 1 took 43696ms
Step 2 took 14900ms
********** Factor found in step 2: 827170265231779905953382540114969157
Found probable prime factor of 36 digits: 827170265231779905953382540114969157

143769378917294720541017412061599013253698347439057571307372015933182304290635493926907836990395948558373426846996982918028748048402209356127236393205956658100787050888461673815053082459684509857969269525467399<210>

44632477475892482648796463<26>

3221183027425476129262136896547483756631608264518977555316569479435495474088352082985100214978336454286053050724550767377261528321281947714799935316015107205673853764039538158149391273<184>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3852178505
Step 1 took 11825ms
Step 2 took 7098ms
********** Factor found in step 2: 44632477475892482648796463
Found probable prime factor of 26 digits: 44632477475892482648796463
Composite cofactor 3221183027425476129262136896547483756631608264518977555316569479435495474088352082985100214978336454286053050724550767377261528321281947714799935316015107205673853764039538158149391273 has 184 digits

GMP-ECM 6.3

1055502504832013052609116981887210243156008203091934080278228695473530561541939273981874904680397205489318253847558858928443824279356294499156127178912077742856713574096082095125663721964124146253152535316580552023043641706631351625861907<238>

553718763348627933255245737<27>

1906206859324823159163437872584265451029511830601846011717677369859896876395748449963140706543409687566394218833320831422881515170735522262387754701151931102143297402632377564388008552404555890329379787636472411<211>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3824347947
Step 1 took 16271ms
Step 2 took 8642ms
********** Factor found in step 2: 553718763348627933255245737
Found probable prime factor of 27 digits: 553718763348627933255245737
Composite cofactor 1906206859324823159163437872584265451029511830601846011717677369859896876395748449963140706543409687566394218833320831422881515170735522262387754701151931102143297402632377564388008552404555890329379787636472411 has 211 digits

GMP-ECM 6.3

189076418250088969843810242881892060135688108801862163592677731835604149603974992138069027704655477015319501078522873396139949699141720954122848433370443462501600880471758738153974828219432460314081113<201>

329365212501134739299856005515848964752382896508658313382904756500156986329937075652331208155745312722116049603852382349061770590931928164272904723912574317993404178022222395780944379781321690699784498156469160562187429767127<225>

1531818245126701693244089<25>

215015856841352523623798463689366951085852704740671565522473485321395544831946155884082783318660111062915151884187523331625531687722210460367123346776251355692970133327475463337477174576108893363881743<201>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=193853306
Step 1 took 12028ms
********** Factor found in step 1: 1531818245126701693244089
Found probable prime factor of 25 digits: 1531818245126701693244089
Composite cofactor 215015856841352523623798463689366951085852704740671565522473485321395544831946155884082783318660111062915151884187523331625531687722210460367123346776251355692970133327475463337477174576108893363881743 has 201 digits

GMP-ECM 6.3

215015856841352523623798463689366951085852704740671565522473485321395544831946155884082783318660111062915151884187523331625531687722210460367123346776251355692970133327475463337477174576108893363881743<201>

7436945096429863740501059077<28>
9196239385899626851423122161713289<34>
3143877720584962615826553358304822230898150147353115274413113563293082453631190619369361385304261552009827855167649152421897329360699468331<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3982695585
Step 1 took 37531ms
Step 2 took 12701ms
********** Factor found in step 2: 7436945096429863740501059077
Found probable prime factor of 28 digits: 7436945096429863740501059077

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1136228267
Step 1 took 27570ms
********** Factor found in step 1: 9196239385899626851423122161713289
Found probable prime factor of 34 digits: 9196239385899626851423122161713289

8856711699741931324658694816996413553559883041143386068442356421798544050626416181478592694484119020873055284453620231889268212563792691522548337621824481521668494352368070584585675631488659983024800994160693273399669584157<223>

12160628602657870053051403903919<32>
728310352131482500041248259672943942729214468595694623167064335717945206182105312933718550000178718275617169012244677385502514229888331024588503730178370940714478822949954808832486908839759603<192>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2824674500
Step 1 took 43147ms
Step 2 took 14373ms
********** Factor found in step 2: 12160628602657870053051403903919
Found probable prime factor of 32 digits: 12160628602657870053051403903919

2279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279202279<250>

15471642835506699172765404418307911064245057365861057361239302190934892913927883982479831646816889614140185958251760729354185493436548741624441548287157524808179183432589479539808079778894017040791631441295215780972850617180317364445839<236>

12557524917860135780689982605384636453150836464183590736028779355207770496235466748325518195790531257872119955100627233441692182973881354234902382676411201726260214091825121932974559469160842686967348034520648809<212>

1098387293357106036742748549249<31>

11432693180088939748734484795930020177328188427416042575444609584414537349638915145972032616369923377029278521132252180756450085756275666016603217265375562472591256165637425787070441<182>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 12557524917860135780689982605384636453150836464183590736028779355207770496235466748325518195790531257872119955100627233441692182973881354234902382676411201726260214091825121932974559469160842686967348034520648809 (212 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2980948882
Step 1 took 6520ms
Step 2 took 3573ms
********** Factor found in step 2: 1098387293357106036742748549249
Found probable prime factor of 31 digits: 1098387293357106036742748549249
Composite cofactor 11432693180088939748734484795930020177328188427416042575444609584414537349638915145972032616369923377029278521132252180756450085756275666016603217265375562472591256165637425787070441 has 182 digits