123834389930920792745431395992446034797811376970263094583046988190429782478417499386851140359264844275839194997399825251302478161009<132>

69203916985256093273443311767<29>
348036351261652831474816398956189791<36>
5141454366009327072515341569204717595183088932017476504080654912297<67>

pp29: 69203916985256093273443311767 (by ECM 6.1.1 B1=250000)
c103=1789413017724180719048649319659333786973529467291554805599134404901104797740979696529159513938391759927
-
by GGNFS(GNFS)
c103=r1*r2
r1=5141454366009327072515341569204717595183088932017476504080654912297 (pp67)
r2=348036351261652831474816398956189791 (pp36)                               

4840680071720010500404173593613373420939898229329989326908659239101242875711649485096611510922795413734423587384292303928743<124>

33221106335396792559728583649939<32>
145710983338393792427706737229266963776824439301949657734730802429613705232080064468338379037<93>

GMP-ECM 5.0 [powered by GMP 4.1.2] [ECM]
Input number is 4840680071720010500404173593613373420939898229329989326908659239101242875711649485096611510922795413734423587384292303928743 (124 digits)
Using B1=803000, B2=614161264, polynomial Dickson(3), sigma=4234692281
Step 1 took 12060ms
Step 2 took 9490ms
********** Factor found in step 2: 33221106335396792559728583649939
Found probable prime factor of 32 digits: 33221106335396792559728583649939
Probable prime cofactor 145710983338393792427706737229266963776824439301949657734730802429613705232080064468338379037 has 93 digits

187717718863966599371265116913856542848046308152222523692546770394181583257740021639356423657330507580390137290199780576440743769826051452345775349079<150>

2666207182373154418160383393318256974037<40>
70406276040739502591454509881526959077496256123980929796389336194469708080034764900330162435965741985863807867<110>

Number: n
N=187717718863966599371265116913856542848046308152222523692546770394181583257740021639356423657330507580390137290199780576440743769826051452345775349079
  ( 150 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=2666207182373154418160383393318256974037 (pp40)
 r2=70406276040739502591454509881526959077496256123980929796389336194469708080034764900330162435965741985863807867 (pp110)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.69 hours.
Scaled time: 51.68 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_4_157_1
n: 187717718863966599371265116913856542848046308152222523692546770394181583257740021639356423657330507580390137290199780576440743769826051452345775349079
skew: 0.30
deg: 5
c5: 13000
c0: -31
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1600001)
Primes: RFBsize:216816, AFBsize:217162, largePrimes:7086581 encountered
Relations: rels:6568699, finalFF:493501
Max relations in full relation-set: 28
Initial matrix: 434045 x 493501 with sparse part having weight 35899314.
Pruned matrix : 385935 x 388169 with weight 24270637.
Total sieving time: 31.12 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.85 hours.
Total square root time: 0.50 hours, sqrts: 7.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 35.69 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

199376659630802271060904430985826232234531608339378878756856868124256035532681763089020633300808149811986438817463928042713251173285674981244382631<147>

1994429019434361543756357833325269071763<40>
99966786327320553004552683264048083299808115979086757765172472797852861187379110833799751735350193567159837<107>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 199376659630802271060904430985826232234531608339378878756856868124256035532681763089020633300808149811986438817463928042713251173285674981244382631 (147 digits)
Using B1=1538000, B2=2140123450, polynomial Dickson(6), sigma=3628322872
Step 1 took 18481ms
Step 2 took 7980ms
********** Factor found in step 2: 1994429019434361543756357833325269071763
Found probable prime factor of 40 digits: 1994429019434361543756357833325269071763
Probable prime cofactor 99966786327320553004552683264048083299808115979086757765172472797852861187379110833799751735350193567159837 has 107 digits

438418657092873437140255716613415047002897640850210659821001335171971975493968967373742325714372536553148432048435029807813404043888141517<138>

5417590935726697778181429215751858994416076969577660845369964579189<67>
80925020418520285456515411888513924913719814105591957988967280127650553<71>

Number: 14441_167
N=438418657092873437140255716613415047002897640850210659821001335171971975493968967373742325714372536553148432048435029807813404043888141517
  ( 138 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=5417590935726697778181429215751858994416076969577660845369964579189
 r2=80925020418520285456515411888513924913719814105591957988967280127650553
Version: 
Total time: 40.05 hours.
Scaled time: 133.72 units (timescale=3.339).
Factorization parameters were as follows:
name: 14441_167
n: 438418657092873437140255716613415047002897640850210659821001335171971975493968967373742325714372536553148432048435029807813404043888141517
m: 2000000000000000000000000000000000
deg: 5
c5: 325
c0: -248
skew: 0.95
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 842418 x 842665
Total sieving time: 40.05 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,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 40.05 hours.
 --------- CPU info (if available) ----------

Core(TM)i7-940 2.93GHz, Windows Vista and Cygwin)

5625250756679360201566717953618134455935466790120021359530419664275001558449273723449425829142265840817995292053157620530447580552929673856131862005414640651<157>

23177318032476375616378164979441<32>

242704990663595406543856278187282365222011349915962369599993059571541828879135465360936558179284736935879922083279775966554811<126>

Input number is 56252507566793602015667179536181344559354667901200213595304196642750015584492737234494258291422658408179
95292053157620530447580552929673856131862005414640651 (157 digits)
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1342086101
Step 1 took 24961ms
Step 2 took 19401ms
********** Factor found in step 2: 23177318032476375616378164979441
Found probable prime factor of 32 digits: 23177318032476375616378164979441
Composite cofactor 24270499066359540654385627818728236522201134991596236959999305957154182887913546536093655817928473693
5879922083279775966554811 has 126 digits

GMP-ECM 6.2.1

Opteron-2.8GHz; Linux x86_64

242704990663595406543856278187282365222011349915962369599993059571541828879135465360936558179284736935879922083279775966554811<126>

3889428202100559149737103058094361<34>
62401200909819595851686241736549279149882130176261860111226874344359239380766173789767518451<92>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 242704990663595406543856278187282365222011349915962369599993059571541828879135465360936558179284736935879922083279775966554811 (126 digits)
...
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3805087970
Step 1 took 65084ms
Step 2 took 24791ms
********** Factor found in step 2: 3889428202100559149737103058094361
Found probable prime factor of 34 digits: 3889428202100559149737103058094361
Probable prime cofactor 62401200909819595851686241736549279149882130176261860111226874344359239380766173789767518451 has 92 digits

10732342976249175501514261110742800869349996874710556532865562180039360327636609694024258570779685560647369177417833819967466747928851454103481701085234727<155>

109065844527518766065659152112671088120780239748152362904203<60>
98402419407674987943082172616752732098497131153709107438685468235316808878942400958071245812309<95>

Number: n
N=10732342976249175501514261110742800869349996874710556532865562180039360327636609694024258570779685560647369177417833819967466747928851454103481701085234727
  ( 155 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Oct 10 22:50:54 2008  prp60 factor: 109065844527518766065659152112671088120780239748152362904203
Fri Oct 10 22:50:54 2008  prp95 factor: 98402419407674987943082172616752732098497131153709107438685468235316808878942400958071245812309
Fri Oct 10 22:50:54 2008  elapsed time 03:40:28 (Msieve 1.38)

Version: GGNFS-0.77.1-20050930-k8
Total time: 29.13 hours.
Scaled time: 24.41 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_4_169_1
n: 10732342976249175501514261110742800869349996874710556532865562180039360327636609694024258570779685560647369177417833819967466747928851454103481701085234727
type: snfs
skew: 1.19
deg: 5
c5: 13
c0: -31
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, 6100001)
Primes: RFBsize:425648, AFBsize:426143, largePrimes:14169683 encountered
Relations: rels:13493805, finalFF:875185
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 28.85 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,52,52,2.5,2.5,100000
total time: 29.13 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

11068080071316857156120193039959788771227991014105288358284804456579423713462205208158384339140725301433413971466891663286668241447924958807140429157<149>

256462931804549017510633552397<30>

43156646434003437590709513779974321417811490608715284910791365906651077456606782151395693253101947622545235176793105081<119>

C149=P30*C119
C140=256462931804549017510633552397<30>*43156646434003437590709513779974321417811490608715284910791365906651077456606782151395693253101947622545235176793105081<119>

43156646434003437590709513779974321417811490608715284910791365906651077456606782151395693253101947622545235176793105081<119>

116063407036321876724157657256907246256483937762664427391<57>
371836804863893294145143569503109186718694143977647172218587591<63>

Number: n
N=43156646434003437590709513779974321417811490608715284910791365906651077456606782151395693253101947622545235176793105081
  ( 119 digits)
Divisors found:

Thu Jun 18 22:22:17 2009  prp57 factor: 116063407036321876724157657256907246256483937762664427391
Thu Jun 18 22:22:17 2009  prp63 factor: 371836804863893294145143569503109186718694143977647172218587591
Thu Jun 18 22:22:17 2009  elapsed time 00:45:54 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 33.10 hours.
Scaled time: 88.40 units (timescale=2.671).
Factorization parameters were as follows:
n: 43156646434003437590709513779974321417811490608715284910791365906651077456606782151395693253101947622545235176793105081
Y0: -82873704940012508645811
Y1:  5558225810587
c0:  390332349543191292661504637720
c1:  11283470990773849387345742
c2:  27771274009983295117
c3: -848230578916907
c4: -1954794837
c5:  11040
skew: 148251.93
type: gnfs
name: KA_1_4_170_1
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 50000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2250000, 4100000)
Primes: RFBsize:315948, AFBsize:315748, largePrimes:14766964 encountered
Relations: rels:14062877, finalFF:788445
Max relations in full relation-set: 28
Initial matrix: 631777 x 788445 with sparse part having weight 79095519.
Pruned matrix : 509527 x 512749 with weight 52748937.

Msieve: found 1396489 hash collisions in 15182031 relations
Msieve: matrix is 605319 x 605567 (165.1 MB)

Total sieving time: 31.45 hours.
Total relation processing time: 0.85 hours.
Matrix solve time: 0.80 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,56,56,2.4,2.4,60000
total time: 33.10 hours.
 --------- CPU info (if available) ----------

162047739718729067111933719551726498846715051514251224342030637985951774579891448241910459399895654662162199873111973028960286941511948750479476372447<150>

38186497444436128431765802083764345235001980935112829823<56>
4243587408206767663101607747636075085124101481477682481014352244302721413857804299586917443489<94>

Number: 14441_172
N=162047739718729067111933719551726498846715051514251224342030637985951774579891448241910459399895654662162199873111973028960286941511948750479476372447
  ( 150 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=38186497444436128431765802083764345235001980935112829823
 r2=4243587408206767663101607747636075085124101481477682481014352244302721413857804299586917443489
Version: 
Total time: 85.23 hours.
Scaled time: 171.56 units (timescale=2.013).
Factorization parameters were as follows:
n: 162047739718729067111933719551726498846715051514251224342030637985951774579891448241910459399895654662162199873111973028960286941511948750479476372447
m: 10000000000000000000000000000000000
deg: 5
c5: 1300
c0: -31
skew: 0.47
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 809690 x 809938
Total sieving time: 85.23 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 85.23 hours.
 --------- CPU info (if available) ----------

84370061765322647928872401971571207460554744255313121875885604347392453902982301215842039579141719551627224992917852082827356743544863594372624173011525868837715413<164>

825797712453284854898455720327785686620847<42>
102167952869081650152765818487263698573598530904222949149986942533196188277263383377597803183509917577439764618936491835579<123>

Number: 14441_173
N=84370061765322647928872401971571207460554744255313121875885604347392453902982301215842039579141719551627224992917852082827356743544863594372624173011525868837715413
  ( 164 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=825797712453284854898455720327785686620847 (pp42)
 r2=102167952869081650152765818487263698573598530904222949149986942533196188277263383377597803183509917577439764618936491835579 (pp123)
Version: Msieve-1.40
Total time: 66.57 hours.
Scaled time: 115.77 units (timescale=1.739).
Factorization parameters were as follows:
n: 84370061765322647928872401971571207460554744255313121875885604347392453902982301215842039579141719551627224992917852082827356743544863594372624173011525868837715413
m: 50000000000000000000000000000000000
deg: 5
c5: 104
c0: -775
skew: 1.49
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 6150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1099439 x 1099664
Total sieving time: 64.51 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.61 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 66.57 hours.

GGNFS, Msieve

11315808731464896798346204049667558559756451051264137120457929643419941596312992591361590000871759723399467551877804453911076657859457050302792027<146>

25033842181419094771095940168167426214644379<44>
452020454928961964652287587071087355520379293916864910615544580991786263169013953137748282195897806913<102>

C146=P44*P102
C146=25033842181419094771095940168167426214644379<44>*452020454928961964652287587071087355520379293916864910615544580991786263169013953137748282195897806913<102>

ECMNET

16918889447301226274598506187458481056088453983118804283284551144636628313183023798005189712738037647764775964197900028623871802127989318267335387453098993973183<161>

254375450042793489689810269235516750978969988873209772484756773359693046319<75>
66511487034047380122386221714798039092913496184066343766700321646769205739327641907057<86>

N=16918889447301226274598506187458481056088453983118804283284551144636628313183023798005189712738037647764775964197900028623871802127989318267335387453098993973183
  ( 161 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=254375450042793489689810269235516750978969988873209772484756773359693046319 (pp75)
 r2=66511487034047380122386221714798039092913496184066343766700321646769205739327641907057 (pp86)
Version: Msieve v. 1.48
Total time:
Scaled time: 110.78 units (timescale=1.776).
Factorization parameters were as follows:
n: 16918889447301226274598506187458481056088453983118804283284551144636628313183023798005189712738037647764775964197900028623871802127989318267335387453098993973183
m: 1000000000000000000000000000000000000
deg: 5
c5: 13
c0: -31
skew: 1.19
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 1000000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 8650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1258683 x 1258909
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time:

1089430581963676548941447001947791370388866323333069617470230312372205924733330066890267337543586868196044479418320446025008802795828288903417808325625494852152760654343584589<175>

8073813069587996438988098243<28>

134933837651912564103374368384507680483444062389797150170691343744949834607546660900113391183180100724265992335560088217959448485874274082253775023<147>

C175=P28*C147
C175=8073813069587996438988098243<28>*134933837651912564103374368384507680483444062389797150170691343744949834607546660900113391183180100724265992335560088217959448485874274082253775023<147>

134933837651912564103374368384507680483444062389797150170691343744949834607546660900113391183180100724265992335560088217959448485874274082253775023<147>

2290266470040433347139183711148383601610698424954663061232217330885343<70>
58916217574250381540130143299003725654424706948345835270819485307836358003761<77>

N=134933837651912564103374368384507680483444062389797150170691343744949834607546660900113391183180100724265992335560088217959448485874274082253775023
  ( 147 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=2290266470040433347139183711148383601610698424954663061232217330885343 (pp70)
 r2=58916217574250381540130143299003725654424706948345835270819485307836358003761 (pp77)
Version: Msieve-1.40
Total time: 222.13 hours.
Scaled time: 394.95 units (timescale=1.778).
Factorization parameters were as follows:
n: 134933837651912564103374368384507680483444062389797150170691343744949834607546660900113391183180100724265992335560088217959448485874274082253775023
m: 1000000000000000000000000000000000000
deg: 5
c5: 130000
c0: -31
skew: 0.19
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4250000, 7450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1541851 x 1542079
Total sieving time: 218.27 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.89 hours.
Time per square root: 0.75 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 222.13 hours.
 --------- CPU info (if available) ----------

8788949140262138501748897593892201010008266230539906431857259336313619515107342349987432858956812504209471310423515168067698813237717931981034195989<148>

65179480030846277956271414089<29>
134842271464926635129442045399461515806781710308343035529982485877975632051921808466844841500311919558453436567204757101<120>

C148=P29*P120
C148=65179480030846277956271414089<29>*134842271464926635129442045399461515806781710308343035529982485877975632051921808466844841500311919558453436567204757101<120>

158976358762249025684993366592626335693945714375034905256527492319914768990199023303721562985364006922541655038278381536805267205466238710141554118175508517508288296124643<171>

6198102979943374979397612387938025413160903758820216284961373329873045288855528151<82>
25649196097045391772826472436390361860152975479790594018333228827141903876055864909716693<89>

N=158976358762249025684993366592626335693945714375034905256527492319914768990199023303721562985364006922541655038278381536805267205466238710141554118175508517508288296124643
  ( 171 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=6198102979943374979397612387938025413160903758820216284961373329873045288855528151 (pp82)
 r2=25649196097045391772826472436390361860152975479790594018333228827141903876055864909716693 (pp89)
Version: Msieve-1.40
Total time: 275.09 hours.
Scaled time: 536.70 units (timescale=1.951).
Factorization parameters were as follows:
n: 158976358762249025684993366592626335693945714375034905256527492319914768990199023303721562985364006922541655038278381536805267205466238710141554118175508517508288296124643
m: 10000000000000000000000000000000000000
deg: 5
c5: 13000
c0: -31
skew: 0.30
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000Factor 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, 8950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1781179 x 1781403
Total sieving time: 270.22 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.82 hours.
Time per square root: 0.84 hours.
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 275.09 hours.
 --------- CPU info (if available) ----------

584007835215841023914570617715978472185467226928522854270402554909781892083903707220755763820847809181447063739979202027382276323332414501651001415039887883735570574048322709<174>

14135592614919844711295625424238432756381<41>

41314704740389309528836652574796182283833088755255518585019249407047013510342583820632867299776995364308189507282970550736718285900889<134>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 584007835215841023914570617715978472185467226928522854270402554909781892083903707220755763820847809181447063739979202027382276323332414501651001415039887883735570574048322709 (174 digits)
[Fri Jan 15 11:47:58 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=390583907
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20 25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 206077ms
Using 22 small primes for NTT
Estimated memory usage: 252M
Initializing tables of differences for F took 62ms
Computing roots of F took 5710ms
Building F from its roots took 7285ms
Computing 1/F took 3463ms
Initializing table of differences for G took 78ms
Computing roots of G took 4462ms
Building G from its roots took 6380ms
Computing roots of G took 4399ms
Building G from its roots took 6412ms
Computing G * H took 1965ms
Reducing  G * H mod F took 1903ms
Computing roots of G took 4431ms
Building G from its roots took 6412ms
Computing G * H took 1966ms
Reducing  G * H mod F took 1888ms
Computing roots of G took 4383ms
Building G from its roots took 6474ms
Computing G * H took 2028ms
Reducing  G * H mod F took 1934ms
Computing roots of G took 4431ms
Building G from its roots took 6505ms
Computing G * H took 2012ms
Reducing  G * H mod F took 1950ms
Computing polyeval(F,G) took 12480ms
Computing product of all F(g_i) took 63ms
Step 2 took 99575ms
********** Factor found in step 2: 14135592614919844711295625424238432756381
Found probable prime factor of 41 digits: 14135592614919844711295625424238432756381
Composite cofactor 41314704740389309528836652574796182283833088755255518585019249407047013510342583820632867299776995364308189507282970550736718285900889 has 134 digits

GMP-ECM

41314704740389309528836652574796182283833088755255518585019249407047013510342583820632867299776995364308189507282970550736718285900889<134>

127812284249708690775545092667162954794483<42>
323245179310559687703339040940419805200114110312602263823483077908889824424970470982279543683<93>

Number: n
N=41314704740389309528836652574796182283833088755255518585019249407047013510342583820632867299776995364308189507282970550736718285900889
  ( 134 digits)
Divisors found:

Mon Apr 30 19:33:32 2012  prp42 factor: 127812284249708690775545092667162954794483
Mon Apr 30 19:33:32 2012  prp93 factor: 323245179310559687703339040940419805200114110312602263823483077908889824424970470982279543683
Mon Apr 30 19:33:32 2012  elapsed time 03:50:49 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.023).
Factorization parameters were as follows:
name: KA_14441_190
n: 41314704740389309528836652574796182283833088755255518585019249407047013510342583820632867299776995364308189507282970550736718285900889
skew: 136175.58
# norm 2.05e+18
c5: 85080
c4: -421171707224
c3: -8602329752215364
c2: 7093498123643249720203
c1: 254840515812497548781047662
c0: -4241393633595449324626896398520
# alpha -5.97
Y1: 651900104720929
Y0: -54608540254155184386143987
# Murphy_E 4.37e-11
# M 8769719538351531941766396926370515386917896255083453637948300153837373380760426496933799560722707974780361477157177570501400917651149
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 23760000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2956548 hash collisions in 12728310 relations (9688627 unique)
Msieve: matrix is 1312986 x 1313211 (381.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399952)
Calibrating delay using timer specific routine.. 4799.86 BogoMIPS (lpj=2399932)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953)
Total of 4 processors activated (19200.19 BogoMIPS).

30834343458224868068173132331884236046663965292046023323100292886352755369376690028707988748583294944309834281749699131403265831658240853637654512159523718149<158>

58613240814472500893849043600687691416325095829947726399769001028922265921<74>
526064469900654248712241320469585198061086667193727547984003077654543718179763977669<84>

N=30834343458224868068173132331884236046663965292046023323100292886352755369376690028707988748583294944309834281749699131403265831658240853637654512159523718149
  ( 158 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=58613240814472500893849043600687691416325095829947726399769001028922265921 (pp74)
 r2=526064469900654248712241320469585198061086667193727547984003077654543718179763977669 (pp84)
Version: Msieve-1.40
Total time: 410.15 hours.
Scaled time: 798.16 units (timescale=1.946).
Factorization parameters were as follows:
n: 30834343458224868068173132331884236046663965292046023323100292886352755369376690028707988748583294944309834281749699131403265831658240853637654512159523718149
m: 1000000000000000000000000000000000000000
deg: 5
c5: 13
c0: -31
skew: 1.19
# Murphy_E = 2.856e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 600000Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6500000, 12500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2213417 x 2213644
Total sieving time: 402.79 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 6.84 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
total time: 410.15 hours.
 --------- CPU info (if available) ----------

100821144997472713244138291979019339036213372676439578618544319988591042278809704387909921212720816084558507074897318152809816931631354452760797692042615814553697500167937823683503287771<186>

843683437618135379620437202123663643814364447<45>

119501154700995773629200303592190220125969099476304022885485374781244844327400401990962105235905580732842982915688283674687206743312656458693<141>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 100821144997472713244138291979019339036213372676439578618544319988591042278809704387909921212720816084558507074897318152809816931631354452760797692042615814553697500167937823683503287771 (186 digits)
[Fri Jan 15 11:14:07 2010]
Using MODMULN
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2970526767
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
20    25      30      35      40      45      50      55      60      65
2       5       14      55      246     1277    7553    49797   358989  2841353
Step 1 took 145562ms
Using 23 small primes for NTT
Estimated memory usage: 255M
Initializing tables of differences for F took 32ms
Computing roots of F took 3968ms
Building F from its roots took 5765ms
Computing 1/F took 2672ms
Initializing table of differences for G took 31ms
Computing roots of G took 3375ms
Building G from its roots took 4922ms
Computing roots of G took 3500ms
Building G from its roots took 5204ms
Computing G * H took 1578ms
Reducing  G * H mod F took 1469ms
Computing roots of G took 3313ms
Building G from its roots took 5125ms
Computing G * H took 1609ms
Reducing  G * H mod F took 1485ms
Computing roots of G took 3281ms
Building G from its roots took 5109ms
Computing G * H took 1531ms
Reducing  G * H mod F took 1500ms
Computing roots of G took 3297ms
Building G from its roots took 5125ms
Computing G * H took 1578ms
Reducing  G * H mod F took 1515ms
Computing polyeval(F,G) took 9750ms
Computing product of all F(g_i) took 31ms
Step 2 took 77031ms
********** Factor found in step 2: 843683437618135379620437202123663643814364447
Found probable prime factor of 45 digits: 843683437618135379620437202123663643814364447
Composite cofactor 119501154700995773629200303592190220125969099476304022885485374781244844327400401990962105235905580732842982915688283674687206743312656458693 has 141 digits

GMP-ECM

119501154700995773629200303592190220125969099476304022885485374781244844327400401990962105235905580732842982915688283674687206743312656458693<141>

1030895744457814879227253996795398262649664074093<49>
115919728394888006419045382274590532348828984495352159773801066363254066885036554391496662201<93>

119501154700995773629200303592190220125969099476304022885485374781244844327400401990962105235905580732842982915688283674687206743312656458693=1030895744457814879227253996795398262649664074093*115919728394888006419045382274590532348828984495352159773801066363254066885036554391496662201

Info:Square Root: Factors: 115919728394888006419045382274590532348828984495352159773801066363254066885036554391496662201 1030895744457814879227253996795398262649664074093
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66322/40.780/50.430/54.940/0.952
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66322/40.420/45.231/51.120/1.334
Info:Polynomial Selection (size optimized): Total time: 54405.9
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9427.51
Info:Polynomial Selection (root optimized): Rootsieve time: 9425
Info:Generate Factor Base: Total cpu/real time for makefb: 26.1/9.92628
Info:Generate Free Relations: Total cpu/real time for freerel: 914.03/206.691
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33497868
Info:Lattice Sieving: Average J: 3803.15 for 942263 special-q, max bucket fill -bkmult 1.0,1s:1.110500
Info:Lattice Sieving: Total time: 1.50614e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 155.06/386.938
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 385.59999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1070.98/968.527
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 861.4000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 742.53/929.222
Info:Filtering - Merging: Total cpu/real time for merge: 1474.7/1352.92
Info:Filtering - Merging: Total cpu/real time for replay: 113.65/90.1747
Info:Linear Algebra: Total cpu/real time for bwc: 171677/34537.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 23641.52, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (62000 iterations)
Info:Linear Algebra: Lingen CPU time 785.99, WCT time 167.84
Info:Linear Algebra: Mksol: WCT time 10239.04, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (31000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 87.31/20.4135
Info:Square Root: Total cpu/real time for sqrt: 5845.8/828.187
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.66987e+06/303270
Info:root: Cleaning up computation data in /tmp/cado.gyzm8yjg
115919728394888006419045382274590532348828984495352159773801066363254066885036554391496662201 1030895744457814879227253996795398262649664074093

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

1341573287189265569363975209567765702945023290861843311314593992911722062159548004118703002138721491290010764664353915986494658932165246369357140808254770316381717401727887474982073551<184>

502059272949751816761159606307174740144673975491877045954147753870629821<72>
2672141238039708136081088358968313532349657064658871621040048994558461305947419538055960869817836139200676427131<112>

1341573287189265569363975209567765702945023290861843311314593992911722062159548004118703002138721491290010764664353915986494658932165246369357140808254770316381717401727887474982073551=502059272949751816761159606307174740144673975491877045954147753870629821*2672141238039708136081088358968313532349657064658871621040048994558461305947419538055960869817836139200676427131

cado polynomial
n: 1341573287189265569363975209567765702945023290861843311314593992911722062159548004118703002138721491290010764664353915986494658932165246369357140808254770316381717401727887474982073551
skew: 1.89
type: snfs
c0: -310
c5: 13
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 13*x^5-310
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15700000
tasks.lim1 = 15700000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2672141238039708136081088358968313532349657064658871621040048994558461305947419538055960869817836139200676427131 502059272949751816761159606307174740144673975491877045954147753870629821
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.65/2.47732
Info:Generate Free Relations: Total cpu/real time for freerel: 203.45/52.3542
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46502724
Info:Lattice Sieving: Average J: 1893.82 for 3652975 special-q, max bucket fill -bkmult 1.0,1s:1.085520
Info:Lattice Sieving: Total time: 1.20292e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.22/237.655
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 237.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 747.78/724.866
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 634.1999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 556.65/664.277
Info:Filtering - Merging: Merged matrix has 3248956 rows and total weight 554870823 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 477.21/137.655
Info:Filtering - Merging: Total cpu/real time for replay: 130.54/114.335
Info:Linear Algebra: Total cpu/real time for bwc: 195021/49898.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 32121.29, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (101888 iterations)
Info:Linear Algebra: Lingen CPU time 677.45, WCT time 195.54
Info:Linear Algebra: Mksol: WCT time 17189.58, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51200 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 118.86/49.7294
Info:Square Root: Total cpu/real time for sqrt: 904.2/289.075
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.31332e+06/171867
Info:root: Cleaning up computation data in /tmp/cado.dbwww2zn
2672141238039708136081088358968313532349657064658871621040048994558461305947419538055960869817836139200676427131 502059272949751816761159606307174740144673975491877045954147753870629821

cado-nfs-3.0.0

4 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

48148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<200>

114479882131369179149234001603952546215491<42>
420581741103617402874421898652662038794499187212832147446391522348358265479791351017478571599457943977151584144697838957610036655579567326450207149555866212817<159>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 48148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147 (200 digits)
Using B1=5144000, B2=11416472350, polynomial Dickson(12), sigma=3111509481
Step 1 took 94705ms
Step 2 took 35047ms
********** Factor found in step 2: 114479882131369179149234001603952546215491
Found probable prime factor of 42 digits: 114479882131369179149234001603952546215491
Probable prime cofactor 420581741103617402874421898652662038794499187212832147446391522348358265479791351017478571599457943977151584144697838957610036655579567326450207149555866212817 has 159 digits

3554764957126415677354290278981948206274440229155043721713409305887103783335452574391834774713142786818814017282743612017716621837704952786581340759736231246101758281861149878618599<181>

294467432684652643780063855132399750926349785389<48>
12071844158512563993588748039266786934684031889726579109942402582972181818794186264230284318080145040589922963288044424352880718033891<134>

#
# N = 13x10^201-31 = 14(200)1
#
n: 3554764957126415677354290278981948206274440229155043721713409305887103783335452574391834774713142786818814017282743612017716621837704952786581340759736231246101758281861149878618599
m: 10000000000000000000000000000000000000000
deg: 5
c5: 130
c0: -31
skew: 0.75
# Murphy_E = 1.307e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3554764957126415677354290278981948206274440229155043721713409305887103783335452574391834774713142786818814017282743612017716621837704952786581340759736231246101758281861149878618599 (181 digits)
Using B1=41090000, B2=192394462276, polynomial Dickson(12), sigma=1:2422696661
Step 1 took 110508ms
Step 2 took 32604ms
********** Factor found in step 2: 294467432684652643780063855132399750926349785389
Found prime factor of 48 digits: 294467432684652643780063855132399750926349785389
Prime cofactor 12071844158512563993588748039266786934684031889726579109942402582972181818794186264230284318080145040589922963288044424352880718033891 has 134 digits

4571954135140844849997877558214955769333097139148936364764005750674248936079896094253436992897750602082398500595989390393571748080684861848382676500025620527595770042101718875393535348291993548199<196>

326114097832125974931145376097161029303354295577531664194917523042220131328698663952388375653061<96>
14019492458416665808832144555604140938717152785819396314391316934047017696851651792820701325229921659<101>

Number: n
N=4571954135140844849997877558214955769333097139148936364764005750674248936079896094253436992897750602082398500595989390393571748080684861848382676500025620527595770042101718875393535348291993548199
  ( 196 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Sep  9 21:47:58 2012  prp96 factor: 326114097832125974931145376097161029303354295577531664194917523042220131328698663952388375653061
Sun Sep  9 21:47:58 2012  prp101 factor: 14019492458416665808832144555604140938717152785819396314391316934047017696851651792820701325229921659
Sun Sep  9 21:47:58 2012  elapsed time 07:57:55 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.082).
Factorization parameters were as follows:
name: KA_14441_202
n: 4571954135140844849997877558214955769333097139148936364764005750674248936079896094253436992897750602082398500595989390393571748080684861848382676500025620527595770042101718875393535348291993548199
m: 10000000000000000000000000000000000000000
#  c196, diff: 203.11
skew: 0.474
deg: 5
c5: 1300
c0: -31
# Murphy_E = 1.168e-11
type: snfs
lss: 1
rlim: 17000000
alim: 17000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 23700000)
Primes: RFBsize:1091314, AFBsize:1090948, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7883770 hash collisions in 57324621 relations (51670928 unique)
Msieve: matrix is 2174255 x 2174480 (616.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17000000,17000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830713)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.15 BogoMIPS).

7963777375898742847546288871586827060148868819963577254600739126726308996212205259523986933404190853593806349583647726855926824277982674596623354329834787969776225839577<169>

1533586983757985160363807857822911875398960644523<49>
5192908821111580223957466469705477611631661174325462215390110705242104114492881909917842354207826030978556715079521666699<121>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=262905607
Step 1 took 292125ms
Step 2 took 81634ms
********** Factor found in step 2: 1533586983757985160363807857822911875398960644523
Found probable prime factor of 49 digits: 1533586983757985160363807857822911875398960644523

66663547514889140379471167346125847632169827919495588277336324015527025177086084480488445671742274975771246557378411957009024421349793159022087199466374993016289768592537<170>

42036069186972857442063321684418540967531<41>
1585865396176206574832580654710212928419409699797431653638427150028854330507031100428043066351824196086406777748676765403043273227<130>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1608799728
Step 1 took 317440ms
Step 2 took 87826ms
********** Factor found in step 2: 42036069186972857442063321684418540967531
Found probable prime factor of 41 digits: 42036069186972857442063321684418540967531

284383475427396261048131218508180595836013839001191157687349214002246931339873422621388118488585043083429319865876965256343603822860306988942883904342210378831755876789441728833824110303617358026193<198>

140285996962993216830630364912074287155316899<45>

2027169365324575325919994978744039694565002233663898810839487541793754618629569874540505510135509726710277356146926467212540877362814798042611417786682107<154>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=707118506
Step 1 took 417376ms
Step 2 took 100477ms
********** Factor found in step 2: 140285996962993216830630364912074287155316899
Found probable prime factor of 45 digits: 140285996962993216830630364912074287155316899

2027169365324575325919994978744039694565002233663898810839487541793754618629569874540505510135509726710277356146926467212540877362814798042611417786682107<154>

18536453817499403957283739596506171662484896624504473946814005575046497955789<77>
109361228705504555975937342088100732245258343304767538050603708709835351346663<78>

Number: 14441_205
N = 2027169365324575325919994978744039694565002233663898810839487541793754618629569874540505510135509726710277356146926467212540877362814798042611417786682107 (154 digits)
SNFS difficulty: 207 digits.
Divisors found:
r1=18536453817499403957283739596506171662484896624504473946814005575046497955789 (pp77)
r2=109361228705504555975937342088100732245258343304767538050603708709835351346663 (pp78)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 25.00 hours.
Factorization parameters were as follows:
n: 2027169365324575325919994978744039694565002233663898810839487541793754618629569874540505510135509726710277356146926467212540877362814798042611417786682107
m: 100000000000000000000000000000000000000000
deg: 5
c5: 13
c0: -31
skew: 1.19
# Murphy_E = 1.089e-11
type: snfs
lss: 1
rlim: 19100000
alim: 19100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19100000/19100000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 38986376
Relations: 6261634 relations
Pruned matrix : 3722213 x 3722441
Total sieving time: 22.26 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.37 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,19100000,19100000,29,29,56,56,2.6,2.6,100000
total time: 25.00 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

222380317521801952502609077075324541407736860996786245182066272721644794621598592544706697552897905487030771329039374676126588524617954463387655199865080150741695664632417052868576944385299833072780579<201>

1779044923071467498050199525857<31>

124999832571888645451592319416083099861318491736177141426461351700831101266391212274011837488645247624085914702121426285826896010708456040942285919027543367881743149442947<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1922766961
Step 1 took 37794ms
********** Factor found in step 1: 1779044923071467498050199525857
Found probable prime factor of 31 digits: 1779044923071467498050199525857

124999832571888645451592319416083099861318491736177141426461351700831101266391212274011837488645247624085914702121426285826896010708456040942285919027543367881743149442947<171>

191215613724435569164442094070469<33>
653711431494439904902616659544952913074427723856717267151785059546934023839116214740950334868814404791211216938623714657713120972224138663<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3277018038
Step 1 took 26714ms
Step 2 took 10387ms
********** Factor found in step 2: 191215613724435569164442094070469
Found probable prime factor of 33 digits: 191215613724435569164442094070469

124305844101239278314293329032553433801551059911745448184488500235505925050039920030419181080401984597647046105893394811530475364664028748817641683021413351119<159>

818873669460733056303268836889146971<36>
151801002690806435485297480461907910279878938378037266599582515021711284830818534332314152845486821273120346920068490021789<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2811091982
Step 1 took 27182ms
Step 2 took 9952ms
********** Factor found in step 2: 818873669460733056303268836889146971
Found probable prime factor of 36 digits: 818873669460733056303268836889146971

2901255039328424317995235914959402566147614922048857782796597283001362009161241278153498190268577218311658263267205104878024043870168338097318893021314150484814078123<166>

17820233866510970814214363980266035381748293<44>
555214443389390931554805109696252423478367951656504294029<57>
293232263780264129833889096322085777036154990601916248265420876459<66>

#
# N = 13x10^209-31 = 14(208)1
#
n: 2901255039328424317995235914959402566147614922048857782796597283001362009161241278153498190268577218311658263267205104878024043870168338097318893021314150484814078123
m: 500000000000000000000000000000000000000000
deg: 5
c5: 208
c0: -155
skew: 0.94
# Murphy_E = 6.103e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2901255039328424317995235914959402566147614922048857782796597283001362009161241278153498190268577218311658263267205104878024043870168338097318893021314150484814078123 (166 digits)
Using B1=44750000, B2=240492041806, polynomial Dickson(12), sigma=1:3098527024
Step 1 took 103007ms
Step 2 took 35153ms
********** Factor found in step 2: 17820233866510970814214363980266035381748293
Found prime factor of 44 digits: 17820233866510970814214363980266035381748293
Composite cofactor 162806788118570407593923804353253020763294589890562852774561370265492825493540319148145625850435255323390393821274220363311 has 123 digits


CADO


STA:Thu 26 Aug 2021 16:31:56 AEST (162,806,788,118,570,407,593,923,804,353,253,020,763,294,589,890,562,852,774,561,370,265,492,825,493,540,319,148,145,625,850,435,255,323,390,393,821,274,220,363,311 - C123)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 162806788118570407593923804353253020763294589890562852774561370265492825493540319148145625850435255323390393821274220363311 2>&1 | tee -a log49

Debug:root: Looking for parameter file for c123 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c125
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.p25vesph
Info:Database: Opened connection to database /tmp/cado.p25vesph/c125.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1628067881185704075939238043532530207632945898905628527745613702654928254935403191481
45625850435255323390393821274220363311
Debug:root: Root parameter dictionary:
N = 162806788118570407593923804353253020763294589890562852774561370265492825493540319148145625850435255323390393821274220363311
lim0 = 2377918
lim1 = 9209388
lpb0 = 27
lpb1 = 27
name = c125
...
n: 162806788118570407593923804353253020763294589890562852774561370265492825493540319148145625850435255323390393821274220363311
skew: 36100.233
c0: 5454379563306249663264825726
c1: 245862082081950811601473
c2: -6337895294203468788
c3: -1417200090679525
c4: 997886202
c5: 151200
Y0: -364797573335146585923892
Y1: 1570541067416477
# MurphyE (Bf=9.21e+06,Bg=2.38e+06,area=3.09e+14) = 8.84e-10
# f(x) = 151200*x^5+997886202*x^4-1417200090679525*x^3-6337895294203468788*x^2+245862082081950811601473*x+5454379563306249663264825726
# g(x) = 1570541067416477*x-364797573335146585923892
...
Info:Square Root: Factors: 555214443389390931554805109696252423478367951656504294029 293232263780264129833889096322085777036154990601916248265420876459
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 504.83/70.2926
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21528.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21713/36.350/43.478/48.590/0.891
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 21713/35.970/39.172/44.330/1.172
Info:Polynomial Selection (size optimized): Total time: 1764.02
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 919.35
Info:Polynomial Selection (root optimized): Rootsieve time: 918.46
Info:Generate Factor Base: Total cpu/real time for makefb: 11.97/1.11208
Info:Generate Free Relations: Total cpu/real time for freerel: 148.02/9.81674
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13057380
Info:Lattice Sieving: Average J: 3771.3 for 156642 special-q, max bucket fill: 0.72198
Info:Lattice Sieving: Total CPU time: 111768s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.66/40.849
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 190.07/58.9804
Info:Filtering - Singleton removal: Total cpu/real time for purge: 152.62/55.7717
Info:Filtering - Merging: Total cpu/real time for merge: 203.15/167.22
Info:Filtering - Merging: Total cpu/real time for replay: 18.05/13.9659
Info:Linear Algebra: Total cpu/real time for bwc: 7309.15/0.000380278
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 295.68
Info:Linear Algebra: Lingen CPU time 123.51, WCT time 12.38
Info:Linear Algebra: Mksol: WCT time 171.82
Info:Quadratic Characters: Total cpu/real time for characters: 21.2/4.96736
Info:Square Root: Total cpu/real time for sqrt: 504.83/70.2926
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 123044/8566.24
Info:root: Cleaning up computation data in /tmp/cado.p25vesph
555214443389390931554805109696252423478367951656504294029 293232263780264129833889096322085777036154990601916248265420876459

END:Thu 26 Aug 2021 18:54:43 AEST (162,806,788,118,570,407,593,923,804,353,253,020,763,294,589,890,562,852,774,561,370,265,492,825,493,540,319,148,145,625,850,435,255,323,390,393,821,274,220,363,311 - C123)

437205881244648105993215945828322625744093384937817739791923189995104183149394801481657998338482993387465068178022604814812669712690378964417<141>

602473911062869376732241198971<30>
725684337888325232336621147295522779634287220483074826149152144591848997719804884759162590308060587745552938227<111>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4012266641
Step 1 took 7093ms
Step 2 took 4700ms
********** Factor found in step 2: 602473911062869376732241198971
Found probable prime factor of 30 digits: 602473911062869376732241198971
Probable prime cofactor 725684337888... has 111 digits

26697290587695158544023963625607772228411993190797869897053492284873619713458946072579507563143608615067529447151787236055421959473255642593143019647605830758491321414206281281168259658978267<191>

163909955145217310451409802447790841<36>
162877785940716563172948559924592068377764382987313722160908220728967109728254194705006381466488862141775070139611786016595713872234435933247529456381251187<156>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=344514973
Step 1 took 32407ms
Step 2 took 11767ms
********** Factor found in step 2: 163909955145217310451409802447790841
Found probable prime factor of 36 digits: 163909955145217310451409802447790841

20315910803599804055918146763811014519256804838567505570511476515396861401449905221366401098187787811999576437603822110845463426197923082291954036430157965568443944701236791317265602509<185>

751679134324318790430879197627324287<36>

27027370956440996270622204387598397775185090219951186351089132629750003351035775108569438769623301877855694860223841583189801570871144239833866147507<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1399784111
Step 1 took 31822ms
********** Factor found in step 1: 751679134324318790430879197627324287
Found probable prime factor of 36 digits: 751679134324318790430879197627324287

27027370956440996270622204387598397775185090219951186351089132629750003351035775108569438769623301877855694860223841583189801570871144239833866147507<149>

2930124543559986489430523274929590312959298348029296481642211393<64>
9223966611195236007207023271264135494979210879470281343472284358107133330956613837299<85>

Number: 14441_214
N = 27027370956440996270622204387598397775185090219951186351089132629750003351035775108569438769623301877855694860223841583189801570871144239833866147507 (149 digits)
Divisors found:
r1=2930124543559986489430523274929590312959298348029296481642211393 (pp64)
r2=9223966611195236007207023271264135494979210879470281343472284358107133330956613837299 (pp85)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 433.97 hours.
Factorization parameters were as follows:
# Murphy_E = 7.367e-12, selected by Dmitry Domanov
n: 27027370956440996270622204387598397775185090219951186351089132629750003351035775108569438769623301877855694860223841583189801570871144239833866147507
Y0: -140594321322013169140889579397
Y1: 1155743394884897
c0: -6187700328750875771930154633606114080
c1: 4337815997679751316438404588074
c2: 2277856487024183974381093
c3: -239160686615951202
c4: -27368132126
c5: 492
skew: 9098853.62
type: gnfs
# selected mechanically
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 42331198
Relations: 7227356 relations
Pruned matrix : 4349898 x 4350127
Polynomial selection time: 0.00 hours.
Total sieving time: 418.66 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 14.47 hours.
time per square root: 0.61 hours.
Prototype def-par.txt line would be: gnfs,148,5,65,2000,1e-05,0.28,250,20,50000,3600,31000000,31000000,29,29,57,57,2.6,2.6,100000
total time: 433.97 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

1747602414071027517179843846552447425090864794840453362308061362266592223313978517194340293992956423845500875444261223788630889603809834512397034034944754203736547803724725482137<178>

95496653312047160380758039176688254404769288606393051849025804901199669640936150525254297839420652600242533437097809549373755461978730857263411326621096693636935281923452382815998014832173239593023<197>

652127492957668193277865681001438591309<39>

146438624875222323966076187882855921440561465782225460228329672283041812460063350814817826766680764931803269697859341551807932762414956831211388001121633583547<159>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2129408695
Step 1 took 100574ms
Step 2 took 32339ms
********** Factor found in step 2: 652127492957668193277865681001438591309
Found probable prime factor of 39 digits: 652127492957668193277865681001438591309

48148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<218>

53838277318046828912686489086984471512034128386676467787275545411944605458002898575402528308657<95>
894310712501357760287277812583996780525665274578272632996303967478563795126932983287752567763197693280524186083112011665571<123>

p123 factor: 894310712501357760287277812583996780525665274578272632996303967478563795126932983287752567763197693280524186083112011665571

ggnfs-lasieve4I14e on the NFS@Home grid + msieve 1.53 SVN

90887833189230567889892666300575378247555045029536480045615363635493647556934964270028815941042884633380767965834388706706424491041300999723714476486277610454660216095233651459241316548631<188>

35575882785847997597502926228936357<35>

2554759743738124017011811324841724419416470135114530045606246760032883924010353672951416476225369446322159136693566972015322119499467864107119530019683083<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=753731909
Step 1 took 32734ms
Step 2 took 11601ms
********** Factor found in step 2: 35575882785847997597502926228936357
Found probable prime factor of 35 digits: 35575882785847997597502926228936357

2554759743738124017011811324841724419416470135114530045606246760032883924010353672951416476225369446322159136693566972015322119499467864107119530019683083<154>

20913453089267696392529607037301766910180324321790761<53>
122158676180031121597158285359330774542731295788476653169891007508380401795869885927224077908391382803<102>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1505691527
Step 1 took 239288ms
Step 2 took 70844ms
********** Factor found in step 2: 20913453089267696392529607037301766910180324321790761
Found probable prime factor of 53 digits: 20913453089267696392529607037301766910180324321790761

1846656044652624403796296120886760057477527781557595446434239647573428181969726379144526155806738808138476318888650411289257<124>

73285516057507886635426354752122671<35>
25198103854567043014340715740993216791842383779510802627552462075231984686250160461139367<89>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2289454934
Step 1 took 16146ms
Step 2 took 10062ms
********** Factor found in step 2: 73285516057507886635426354752122671
Found probable prime factor of 35 digits: 73285516057507886635426354752122671
Probable prime cofactor 25198103854567043014340715740993216791842383779510802627552462075231984686250160461139367 has 89 digits

GMP-ECM 6.3

98794244148146507859712999229513037344013248294765045700493383372189379341081451736176072838875629975566491000765538434962178514777701822255022792828046953985101686174721367813690921081992078375193814519671494161<212>

631408267669140149194038749017437384051885961750850871828071176869161521228675613754960747225233<96>
156466503856289369941755753046172960203885589997136334309818260721904724520385257855069138681362230735407497623084417<117>

Number: n
N=98794244148146507859712999229513037344013248294765045700493383372189379341081451736176072838875629975566491000765538434962178514777701822255022792828046953985101686174721367813690921081992078375193814519671494161
  ( 212 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sun Sep  8 22:08:30 2019  p96 factor: 631408267669140149194038749017437384051885961750850871828071176869161521228675613754960747225233
Sun Sep  8 22:08:30 2019  p117 factor: 156466503856289369941755753046172960203885589997136334309818260721904724520385257855069138681362230735407497623084417
Sun Sep  8 22:08:30 2019  elapsed time 08:59:04 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.123).
Factorization parameters were as follows:
#
# N = 13x10^221-31 = 14(220)1
#
n: 98794244148146507859712999229513037344013248294765045700493383372189379341081451736176072838875629975566491000765538434962178514777701822255022792828046953985101686174721367813690921081992078375193814519671494161
m: 10000000000000000000000000000000000000
deg: 6
c6: 13
c0: -310
skew: 1.70
# Murphy_E = 1.993e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 87300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12733455 hash collisions in 69819346 relations (58134492 unique)
Msieve: matrix is 4459898 x 4460125 (1558.4 MB)

Sieving start time: 2019/09/06 19:39:52
Sieving end time  : 2019/09/08 13:07:05

Total sieving time: 41hrs 27min 13secs.

Total relation processing time: 8hrs 28min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 12sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284080K/16703460K available (12300K kernel code, 2478K rwdata, 4280K rodata, 2424K init, 2384K bss, 419380K reserved, 0K cma-reserved)
[    0.072549] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977052)
[    0.070220] smpboot: Total of 16 processors activated (95816.41 BogoMIPS)

1135813769715551606576951771260991459735801588620354003987458174345031056948005223430974634745630165331711584083997113890388663531041486580348494757816073408792010940161909241220646975342963679533827<199>

4913861890997691618879359776714115673064892838121891746110583815931269435741239056735071404083116839918097261958355398463170794121660416612330693833519115111750669135693272204891409322049594474097711009734360406066427097<220>

250880712874004073698135392744021078903682964095987221114274827<63>
229753261403207637634362709974100411626607797172816691818117763552441431610911<78>
85249921149227074397450943519314470184734765005204544766701412450671355991050101<80>

Number: n
N=4913861890997691618879359776714115673064892838121891746110583815931269435741239056735071404083116839918097261958355398463170794121660416612330693833519115111750669135693272204891409322049594474097711009734360406066427097
  ( 220 digits)
SNFS difficulty: 226 digits.
Divisors found:

Sun Oct  6 17:02:03 2019  found factor: 85249921149227074397450943519314470184734765005204544766701412450671355991050101
Sun Oct  6 17:10:40 2019  p63 factor: 250880712874004073698135392744021078903682964095987221114274827
Sun Oct  6 17:10:40 2019  p78 factor: 229753261403207637634362709974100411626607797172816691818117763552441431610911
Sun Oct  6 17:10:40 2019  p80 factor: 85249921149227074397450943519314470184734765005204544766701412450671355991050101
Sun Oct  6 17:10:40 2019  elapsed time 15:31:41 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 13x10^225-31 = 14(224)1
#
n: 4913861890997691618879359776714115673064892838121891746110583815931269435741239056735071404083116839918097261958355398463170794121660416612330693833519115111750669135693272204891409322049594474097711009734360406066427097
m: 1000000000000000000000000000000000000000000000
deg: 5
c5: 13
c0: -31
skew: 1.19
# Murphy_E = 1.335e-12
type: snfs
lss: 1
rlim: 41000000
alim: 41000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 41000000/41000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved  special-q in [100000, 24500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 17589922 hash collisions in 113466884 relations (98818767 unique)
Msieve: matrix is 5527109 x 5527334 (1940.8 MB)

Sieving start time: 2019/10/06 00:32:23
Sieving end time  : 2019/10/06 00:32:51

Total sieving time: 0hrs 0min 28secs.

Total relation processing time: 14hrs 16min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 34min 48sec.

Prototype def-par.txt line would be:
snfs,226,5,0,0,0,0,0,0,0,0,41000000,41000000,30,30,59,59,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284064K/16703460K available (12300K kernel code, 2481K rwdata, 4172K rodata, 2436K init, 2384K bss, 419396K reserved, 0K cma-reserved)
[    0.080570] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.90 BogoMIPS (lpj=11977816)
[    0.078218] smpboot: Total of 16 processors activated (95822.52 BogoMIPS)

952241535990973302006583355408095522633271929820407765872891111495542776833776691654586310678552736573434920455462487241142383141570735902976243576500270279<156>

14903210407445638443383882490131<32>

63895060859855657712924004605057841236159302404058880288648672968971524629909088384438053483787285426319417932271436114266109<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3149296885
Step 1 took 26336ms
Step 2 took 10001ms
********** Factor found in step 2: 14903210407445638443383882490131
Found probable prime factor of 32 digits: 14903210407445638443383882490131

63895060859855657712924004605057841236159302404058880288648672968971524629909088384438053483787285426319417932271436114266109<125>

91438574326553680330267760714074602931082651<44>
698775777405144746413368448706032636217233051008852968281417902211486368752434759<81>

N = 63895060859855657712924004605057841236159302404058880288648672968971524629909088384438053483787285426319417932271436114266109 (125 digits)
Divisors found:
r1=91438574326553680330267760714074602931082651 (pp44)
r2=698775777405144746413368448706032636217233051008852968281417902211486368752434759 (pp81)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 13.98 hours.
Factorization parameters were as follows:
n: 63895060859855657712924004605057841236159302404058880288648672968971524629909088384438053483787285426319417932271436114266109
Y0: -1657192591285649462732873
Y1: 30715812344851
c0: 130470647098412865106383264001440
c1: 623279164918540242912564848
c2: -1899890263995341704794
c3: -4804285647426579
c4: 7321020898
c5: 5112
skew: 563957.83 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11082870
Relations: 1714510 relations
Pruned matrix : 981486 x 981734
Polynomial selection time: 0.00 hours.
Total sieving time: 13.01 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.73 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 13.98 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

1477688513391166525133334735368218487280490895526379846982626037819775652230265207100457017769433705786460115278523890320135697748281029392360251376387603857867<160>

1444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<229>

1610784648999595371706569690983505841<37>
305407610258042605572649163687991772361851<42>

2936185610960414445858453639925120763344902618575770378592367143140717005575527480177097157240521239842096560148382832764420121374007518314890856950251<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2140178331
Step 1 took 42615ms
Step 2 took 14432ms
********** Factor found in step 2: 1610784648999595371706569690983505841
Found probable prime factor of 37 digits: 1610784648999595371706569690983505841

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1708796866
Step 1 took 31974ms
Step 2 took 11570ms
********** Factor found in step 2: 305407610258042605572649163687991772361851
Found probable prime factor of 42 digits: 305407610258042605572649163687991772361851

2936185610960414445858453639925120763344902618575770378592367143140717005575527480177097157240521239842096560148382832764420121374007518314890856950251<151>

91390471514990264221942957981353291076838969886917515523053<59>
32127918395505908514858667900027478348200827861422940230156671749880172323717250131901286967<92>

Sat Nov 30 18:23:21 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Nov 30 18:23:21 2024  random seeds: 2cc2ea23 e3cd849d
Sat Nov 30 18:23:21 2024  Using 20 OpenMP threads
Sat Nov 30 18:23:21 2024  factoring 2936185610960414445858453639925120763344902618575770378592367143140717005575527480177097157240521239842096560148382832764420121374007518314890856950251 (151 digits)
Sat Nov 30 18:23:22 2024  searching for 15-digit factors
Sat Nov 30 18:23:22 2024  commencing number field sieve (151-digit input)
Sat Nov 30 18:23:22 2024  R0: -124033673534990548288951757129
Sat Nov 30 18:23:22 2024  R1: 21919212219867600341657
Sat Nov 30 18:23:22 2024  A0: -8825998634628472164745153681803000
Sat Nov 30 18:23:22 2024  A1: 91164071344281481276691659401
Sat Nov 30 18:23:22 2024  A2: 531778618413950798300114
Sat Nov 30 18:23:22 2024  A3: -3396309833261184071
Sat Nov 30 18:23:22 2024  A4: -3562472561184
Sat Nov 30 18:23:22 2024  A5: 1932840
Sat Nov 30 18:23:22 2024  skew 1.00, size 1.196e-14, alpha -6.500, combined = 8.639e-14 rroots = 5
Sat Nov 30 18:23:22 2024  
Sat Nov 30 18:23:22 2024  commencing relation filtering
Sat Nov 30 18:23:22 2024  setting target matrix density to 70.0
Sat Nov 30 18:23:22 2024  estimated available RAM is 64320.1 MB
Sat Nov 30 18:23:22 2024  commencing duplicate removal, pass 1
Sat Nov 30 18:29:16 2024  found 3476653 hash collisions in 88755926 relations
Sat Nov 30 18:30:06 2024  added 121684 free relations
Sat Nov 30 18:30:06 2024  commencing duplicate removal, pass 2
Sat Nov 30 18:30:41 2024  found 0 duplicates and 88877610 unique relations
Sat Nov 30 18:30:41 2024  memory use: 277.2 MB
Sat Nov 30 18:30:41 2024  reading ideals above 720000
Sat Nov 30 18:30:41 2024  commencing singleton removal, initial pass
Sat Nov 30 18:40:03 2024  memory use: 2756.0 MB
Sat Nov 30 18:40:03 2024  reading all ideals from disk
Sat Nov 30 18:40:06 2024  memory use: 3774.2 MB
Sat Nov 30 18:40:21 2024  keeping 96022051 ideals with weight <= 200, target excess is 606686
Sat Nov 30 18:40:39 2024  commencing in-memory singleton removal
Sat Nov 30 18:40:44 2024  begin with 88877610 relations and 96022051 unique ideals
Sat Nov 30 18:41:04 2024  reduce to 30473022 relations and 27559087 ideals in 21 passes
Sat Nov 30 18:41:04 2024  max relations containing the same ideal: 100
Sat Nov 30 18:41:22 2024  removing 3737999 relations and 3338000 ideals in 400000 cliques
Sat Nov 30 18:41:24 2024  commencing in-memory singleton removal
Sat Nov 30 18:41:25 2024  begin with 26735023 relations and 27559087 unique ideals
Sat Nov 30 18:41:32 2024  reduce to 26367048 relations and 23846362 ideals in 12 passes
Sat Nov 30 18:41:32 2024  max relations containing the same ideal: 94
Sat Nov 30 18:41:47 2024  removing 2746790 relations and 2346790 ideals in 400000 cliques
Sat Nov 30 18:41:49 2024  commencing in-memory singleton removal
Sat Nov 30 18:41:50 2024  begin with 23620258 relations and 23846362 unique ideals
Sat Nov 30 18:41:56 2024  reduce to 23386048 relations and 21261640 ideals in 12 passes
Sat Nov 30 18:41:56 2024  max relations containing the same ideal: 88
Sat Nov 30 18:42:09 2024  removing 2436033 relations and 2036033 ideals in 400000 cliques
Sat Nov 30 18:42:10 2024  commencing in-memory singleton removal
Sat Nov 30 18:42:11 2024  begin with 20950015 relations and 21261640 unique ideals
Sat Nov 30 18:42:16 2024  reduce to 20742591 relations and 19014816 ideals in 10 passes
Sat Nov 30 18:42:16 2024  max relations containing the same ideal: 78
Sat Nov 30 18:42:28 2024  removing 2276336 relations and 1876336 ideals in 400000 cliques
Sat Nov 30 18:42:29 2024  commencing in-memory singleton removal
Sat Nov 30 18:42:30 2024  begin with 18466255 relations and 19014816 unique ideals
Sat Nov 30 18:42:34 2024  reduce to 18260971 relations and 16929602 ideals in 9 passes
Sat Nov 30 18:42:34 2024  max relations containing the same ideal: 72
Sat Nov 30 18:42:44 2024  removing 2178643 relations and 1778643 ideals in 400000 cliques
Sat Nov 30 18:42:45 2024  commencing in-memory singleton removal
Sat Nov 30 18:42:46 2024  begin with 16082328 relations and 16929602 unique ideals
Sat Nov 30 18:42:49 2024  reduce to 15866254 relations and 14930642 ideals in 10 passes
Sat Nov 30 18:42:49 2024  max relations containing the same ideal: 66
Sat Nov 30 18:42:58 2024  removing 1392485 relations and 1160629 ideals in 231856 cliques
Sat Nov 30 18:42:59 2024  commencing in-memory singleton removal
Sat Nov 30 18:42:59 2024  begin with 14473769 relations and 14930642 unique ideals
Sat Nov 30 18:43:02 2024  reduce to 14379022 relations and 13674095 ideals in 9 passes
Sat Nov 30 18:43:02 2024  max relations containing the same ideal: 61
Sat Nov 30 18:43:13 2024  relations with 0 large ideals: 7243
Sat Nov 30 18:43:13 2024  relations with 1 large ideals: 87021
Sat Nov 30 18:43:13 2024  relations with 2 large ideals: 528250
Sat Nov 30 18:43:13 2024  relations with 3 large ideals: 1764947
Sat Nov 30 18:43:13 2024  relations with 4 large ideals: 3453947
Sat Nov 30 18:43:13 2024  relations with 5 large ideals: 4062713
Sat Nov 30 18:43:13 2024  relations with 6 large ideals: 2897309
Sat Nov 30 18:43:13 2024  relations with 7+ large ideals: 1577592
Sat Nov 30 18:43:13 2024  commencing 2-way merge
Sat Nov 30 18:43:24 2024  reduce to 8033305 relation sets and 7328377 unique ideals
Sat Nov 30 18:43:24 2024  commencing full merge
Sat Nov 30 18:45:17 2024  memory use: 764.4 MB
Sat Nov 30 18:45:18 2024  found 4227717 cycles, need 4130577
Sat Nov 30 18:45:20 2024  weight of 4130577 cycles is about 289437874 (70.07/cycle)
Sat Nov 30 18:45:21 2024  distribution of cycle lengths:
Sat Nov 30 18:45:21 2024  1 relations: 496074
Sat Nov 30 18:45:21 2024  2 relations: 492215
Sat Nov 30 18:45:21 2024  3 relations: 508280
Sat Nov 30 18:45:21 2024  4 relations: 469502
Sat Nov 30 18:45:21 2024  5 relations: 411494
Sat Nov 30 18:45:21 2024  6 relations: 370157
Sat Nov 30 18:45:21 2024  7 relations: 319501
Sat Nov 30 18:45:21 2024  8 relations: 269704
Sat Nov 30 18:45:21 2024  9 relations: 222089
Sat Nov 30 18:45:21 2024  10+ relations: 571561
Sat Nov 30 18:45:21 2024  heaviest cycle: 17 relations
Sat Nov 30 18:45:22 2024  commencing cycle optimization
Sat Nov 30 18:45:32 2024  start with 22153937 relations
Sat Nov 30 18:46:04 2024  pruned 357081 relations
Sat Nov 30 18:46:05 2024  memory use: 797.1 MB
Sat Nov 30 18:46:05 2024  distribution of cycle lengths:
Sat Nov 30 18:46:05 2024  1 relations: 496074
Sat Nov 30 18:46:05 2024  2 relations: 501516
Sat Nov 30 18:46:05 2024  3 relations: 521841
Sat Nov 30 18:46:05 2024  4 relations: 476664
Sat Nov 30 18:46:05 2024  5 relations: 417809
Sat Nov 30 18:46:05 2024  6 relations: 372663
Sat Nov 30 18:46:05 2024  7 relations: 320994
Sat Nov 30 18:46:05 2024  8 relations: 269030
Sat Nov 30 18:46:05 2024  9 relations: 219331
Sat Nov 30 18:46:05 2024  10+ relations: 534655
Sat Nov 30 18:46:05 2024  heaviest cycle: 17 relations
Sat Nov 30 18:46:12 2024  RelProcTime: 1370
Sat Nov 30 18:46:13 2024  elapsed time 00:22:52
Sat Nov 30 18:46:14 2024  
Sat Nov 30 18:46:14 2024  
Sat Nov 30 18:46:14 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Nov 30 18:46:14 2024  random seeds: 55d6dbbd 73347e88
Sat Nov 30 18:46:14 2024  factoring 2936185610960414445858453639925120763344902618575770378592367143140717005575527480177097157240521239842096560148382832764420121374007518314890856950251 (151 digits)
Sat Nov 30 18:46:15 2024  searching for 15-digit factors
Sat Nov 30 18:46:15 2024  commencing number field sieve (151-digit input)
Sat Nov 30 18:46:15 2024  R0: -124033673534990548288951757129
Sat Nov 30 18:46:15 2024  R1: 21919212219867600341657
Sat Nov 30 18:46:15 2024  A0: -8825998634628472164745153681803000
Sat Nov 30 18:46:15 2024  A1: 91164071344281481276691659401
Sat Nov 30 18:46:15 2024  A2: 531778618413950798300114
Sat Nov 30 18:46:15 2024  A3: -3396309833261184071
Sat Nov 30 18:46:15 2024  A4: -3562472561184
Sat Nov 30 18:46:15 2024  A5: 1932840
Sat Nov 30 18:46:15 2024  skew 1.00, size 1.196e-14, alpha -6.500, combined = 8.639e-14 rroots = 5
Sat Nov 30 18:46:15 2024  
Sat Nov 30 18:46:15 2024  commencing linear algebra
Sat Nov 30 18:46:15 2024  using VBITS=64
Sat Nov 30 18:46:16 2024  read 4130577 cycles
Sat Nov 30 18:46:25 2024  cycles contain 13763679 unique relations
Sat Nov 30 18:47:29 2024  read 13763679 relations
Sat Nov 30 18:47:47 2024  using 20 quadratic characters above 4294917295
Sat Nov 30 18:49:00 2024  building initial matrix
Sat Nov 30 18:50:49 2024  memory use: 1810.6 MB
Sat Nov 30 18:50:51 2024  read 4130577 cycles
Sat Nov 30 18:50:52 2024  matrix is 4130381 x 4130577 (1264.8 MB) with weight 393771773 (95.33/col)
Sat Nov 30 18:50:52 2024  sparse part has weight 281984222 (68.27/col)
Sat Nov 30 18:51:32 2024  filtering completed in 2 passes
Sat Nov 30 18:51:33 2024  matrix is 4118122 x 4118317 (1263.7 MB) with weight 393314069 (95.50/col)
Sat Nov 30 18:51:33 2024  sparse part has weight 281848526 (68.44/col)
Sat Nov 30 18:51:49 2024  matrix starts at (0, 0)
Sat Nov 30 18:51:50 2024  matrix is 4118122 x 4118317 (1263.7 MB) with weight 393314069 (95.50/col)
Sat Nov 30 18:51:50 2024  sparse part has weight 281848526 (68.44/col)
Sat Nov 30 18:51:50 2024  saving the first 48 matrix rows for later
Sat Nov 30 18:51:51 2024  matrix includes 64 packed rows
Sat Nov 30 18:51:51 2024  matrix is 4118074 x 4118317 (1213.3 MB) with weight 312061713 (75.77/col)
Sat Nov 30 18:51:51 2024  sparse part has weight 276882338 (67.23/col)
Sat Nov 30 18:51:51 2024  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Sat Nov 30 18:52:03 2024  commencing Lanczos iteration (8 threads)
Sat Nov 30 18:52:03 2024  memory use: 1166.1 MB
Sat Nov 30 18:52:11 2024  checkpointing every 880000 dimensions
Sat Nov 30 18:52:32 2024  linear algebra at 0.2%, ETA 4h21m
Sat Nov 30 20:00:17 2024  lanczos halted after 17660 iterations (dim = 1116832)
Sat Nov 30 20:00:17 2024  BLanczosTime: 4442
Sat Nov 30 20:00:17 2024  elapsed time 01:14:03
Sat Nov 30 20:00:17 2024  Msieve v. 1.54 (SVN Unversioned directory)
Sat Nov 30 20:00:17 2024  random seeds: bd7c12ca 2c36190f
Sat Nov 30 20:00:17 2024  factoring 2936185610960414445858453639925120763344902618575770378592367143140717005575527480177097157240521239842096560148382832764420121374007518314890856950251 (151 digits)
Sat Nov 30 20:00:18 2024  searching for 15-digit factors
Sat Nov 30 20:00:18 2024  commencing number field sieve (151-digit input)
Sat Nov 30 20:00:18 2024  R0: -124033673534990548288951757129
Sat Nov 30 20:00:18 2024  R1: 21919212219867600341657
Sat Nov 30 20:00:18 2024  A0: -8825998634628472164745153681803000
Sat Nov 30 20:00:18 2024  A1: 91164071344281481276691659401
Sat Nov 30 20:00:18 2024  A2: 531778618413950798300114
Sat Nov 30 20:00:18 2024  A3: -3396309833261184071
Sat Nov 30 20:00:18 2024  A4: -3562472561184
Sat Nov 30 20:00:18 2024  A5: 1932840
Sat Nov 30 20:00:18 2024  skew 1.00, size 1.196e-14, alpha -6.500, combined = 8.639e-14 rroots = 5
Sat Nov 30 20:00:18 2024  
Sat Nov 30 20:00:18 2024  commencing square root phase
Sat Nov 30 20:00:18 2024  reading relations for dependency 1
Sat Nov 30 20:00:19 2024  read 2058887 cycles
Sat Nov 30 20:00:21 2024  cycles contain 6880034 unique relations
Sat Nov 30 20:00:29 2024  read 6880034 relations
Sat Nov 30 20:01:00 2024  multiplying 6880034 relations
Sat Nov 30 20:04:44 2024  multiply complete, coefficients have about 380.61 million bits
Sat Nov 30 20:04:46 2024  initial square root is modulo 6750113
Sat Nov 30 20:07:17 2024  sqrtTime: 419
Sat Nov 30 20:07:17 2024  p59 factor: 91390471514990264221942957981353291076838969886917515523053
Sat Nov 30 20:07:17 2024  p92 factor: 32127918395505908514858667900027478348200827861422940230156671749880172323717250131901286967
Sat Nov 30 20:07:17 2024  elapsed time 00:07:00

CADO-NFS (poly+las)/Msieve(LA+SR)

1761390807761451796668133214255703523709784108474695144788971784272172431726115071909839952975648927597549824438172566462581333174271717281375443712295230300181723027985671983<175>

4066710093221850561289263090391<31>
433124261967242948990488203915081382068030271066076669822432498679797887386015740129505998943735353040959113460922148210121711829176391067095913<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3215602322
Step 1 took 32395ms
Step 2 took 11264ms
********** Factor found in step 2: 4066710093221850561289263090391
Found probable prime factor of 31 digits: 4066710093221850561289263090391

541213721146200825147420279601380321789866448311855241533934436146520024035567721919750397355532615112501218900691968957616627907561058213049043870362321453153236442853646336591605502428403347<192>

152314469559202616415333984747186767489<39>

3553265311644198201932723430949727246632796512316117694453302681605374991538386846549844726612603367516824269651600062506403186713376144540259439585499923<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2243948834
Step 1 took 32250ms
Step 2 took 11590ms
********** Factor found in step 2: 152314469559202616415333984747186767489
Found probable prime factor of 39 digits: 152314469559202616415333984747186767489

3553265311644198201932723430949727246632796512316117694453302681605374991538386846549844726612603367516824269651600062506403186713376144540259439585499923<154>

494374249374141902540729971937154995453090997333085912638712097<63>
7187399659554457940600428903533930514730231774012826812071556129982165059353625425228724659<91>

Sun Apr 25 13:28:25 2021  Msieve v. 1.54 (SVN Unversioned directory)
Sun Apr 25 13:28:25 2021  random seeds: c15dd140 13f8c191
Sun Apr 25 13:28:25 2021  factoring 3553265311644198201932723430949727246632796512316117694453302681605374991538386846549844726612603367516824269651600062506403186713376144540259439585499923 (154 digits)
Sun Apr 25 13:28:26 2021  searching for 15-digit factors
Sun Apr 25 13:28:26 2021  commencing number field sieve (154-digit input)
Sun Apr 25 13:28:26 2021  R0: -597600663500113288800818112869
Sun Apr 25 13:28:26 2021  R1: 4078686014179799
Sun Apr 25 13:28:26 2021  A0: -10783598694277179447751868625830676600
Sun Apr 25 13:28:26 2021  A1: -46147513110273538715272443356915
Sun Apr 25 13:28:26 2021  A2: -27950837041814267715277339
Sun Apr 25 13:28:26 2021  A3: 3257204557297506535
Sun Apr 25 13:28:26 2021  A4: 188949108696
Sun Apr 25 13:28:26 2021  A5: 46620
Sun Apr 25 13:28:26 2021  skew 1.00, size 5.854e-015, alpha -7.253, combined = 2.538e-014 rroots = 3
Sun Apr 25 13:28:26 2021  
Sun Apr 25 13:28:26 2021  commencing relation filtering
 . . .
Mon Apr 26 07:07:13 2021  p63 factor: 494374249374141902540729971937154995453090997333085912638712097
Mon Apr 26 07:07:13 2021  p91 factor: 7187399659554457940600428903533930514730231774012826812071556129982165059353625425228724659
Mon Apr 26 07:07:13 2021  elapsed time 12:11:17

Complete log at: https://pastebin.com/33iDX37F

GGNFS-lasieve4I14e + Msieve 1.54

3967164088010009460160517562330251152003417864445054777381061368976776831761726021544752662577435991333272300039671640880100094601605175623302511520034178644450547773810613689767768317617260215447526625774359913332723000396716408801<232>

7589195249545484502802219220185463<34>
522738440317186750764605265935252996432545251681468873807097066138959584983639217071176887974050137796470188565640256826948534166600337794200407745256464373274449190477912408843219102387383439585127<198>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=721382808
Step 1 took 15313ms
Step 2 took 8445ms
********** Factor found in step 2: 7589195249545484502802219220185463
Found probable prime factor of 34 digits: 7589195249545484502802219220185463
Probable prime cofactor 522738440317... has 198 digits

48148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148147<236>

15984350965834236651960178326629983<35>
3012205390826468005289364279522833075577408048500878361958211027058100005204092590341011481218533658165502073265155396991082319715468559911518380045563632134075170453447442764003998688808467632485560109<202>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2716799174
Step 1 took 15069ms
Step 2 took 8416ms
********** Factor found in step 2: 15984350965834236651960178326629983
Found probable prime factor of 35 digits: 15984350965834236651960178326629983
Probable prime cofactor 301220539082... has 202 digits

561297446497246191033578705546863785513491265860807061229477440006144288411580373696801250830801347560133866880562419592587669549136200061213762672355739121634921427876166838713342533897<186>

356884589891434491448688733340663<33>
14379601762001076184104614851175637173<38>
189245312388952634029592694443005162941349<42>
577954010043872455781523465901392303534075980062838063902256974212541510247<75>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=233059487
Step 1 took 9568ms
Step 2 took 6229ms
********** Factor found in step 2: 189245312388952634029592694443005162941349
Found probable prime factor of 42 digits: 189245312388952634029592694443005162941349
Composite cofactor 296597807053... has 145 digits

Input number is 561297446497246191033578705546863785513491265860807061229477440006144288411580373696801250830801347560133866880562419592587669549136200061213762672355739121634921427876166838713342533897 (186 digits)
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3092314559
Step 1 took 9749ms
Step 2 took 6324ms
********** Factor found in step 2: 356884589891434491448688733340663
Found probable prime factor of 33 digits: 356884589891434491448688733340663
Composite cofactor ... has 112 digits

Input number is 8310748501182456047378069544902062898074172943972561634144937500516048838763142536808205293144029570201933611731 (112 digits)
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=4243084241
Step 1 took 4612ms
Step 2 took 4052ms
********** Factor found in step 2: 14379601762001076184104614851175637173
Found probable prime factor of 38 digits: 14379601762001076184104614851175637173
Probable prime cofactor 577954010043... has 75 digits

86020251469377909676859018933350511507390448368656697845930214087474288755443967878220604831414362039970821304656632203638455920826324933900618571234490131894701038450327446482195644077791573300714679270306807<209>

4005575755527534744920460763907468288725471662122213251567108989762403536293212981776583526872688655525549635805759561936782301098920036204235556784692041204938072578987665813209214321310016841031284798216535109499471<217>

224385840570078763245976804111979<33>

17851285737776037245391923416132730578849799282808631836267414760685772844338969029451824677796783537047215601774825753554650848081248377552561650991700154379159381491039349969947237549<185>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1245600301
Step 1 took 42542ms
Step 2 took 13978ms
********** Factor found in step 2: 224385840570078763245976804111979
Found probable prime factor of 33 digits: 224385840570078763245976804111979

17851285737776037245391923416132730578849799282808631836267414760685772844338969029451824677796783537047215601774825753554650848081248377552561650991700154379159381491039349969947237549<185>

1039282380136114840553865424623077943088129278585827154171149<61>
17176549972335770654210397008049840846804486108624278704187904032789753423973517430335414920884530609689996104111649478573601<125>

Number: 14441_240
N = 17851285737776037245391923416132730578849799282808631836267414760685772844338969029451824677796783537047215601774825753554650848081248377552561650991700154379159381491039349969947237549 (185 digits)
SNFS difficulty: 242 digits.
Divisors found:
r1=1039282380136114840553865424623077943088129278585827154171149 (pp61)
r2=17176549972335770654210397008049840846804486108624278704187904032789753423973517430335414920884530609689996104111649478573601 (pp125)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 83.10 hours.
Factorization parameters were as follows:
n: 17851285737776037245391923416132730578849799282808631836267414760685772844338969029451824677796783537047215601774825753554650848081248377552561650991700154379159381491039349969947237549
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: -31
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
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: 70653291
Relations: 14454800 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.88 hours.
Total relation processing time: 1.06 hours.
Pruned matrix : 10877131 x 10877379
Matrix solve time: 62.69 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: snfs,242,4,0,0,0,0,0,0,0,0,500000000,100000000,29,29,58,58,2.8,2.8,100000
total time: 83.10 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.26100-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

699710427855856261955859555237853200202243413355341584821084070309036979852017293613135561749431704779003078130064435525134671865220794414039161095169930574742599093170232911556218555031207905042580026214906260435984182827<222>

1495355742430134135453188771<28>

467922386628042165717924464440848646887903013281445359079802375129587652240196678632380546475013693325193560113508556649475047918560627821193105928412250866915594599533447713041961049371070277337<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2709991406
Step 1 took 42206ms
Step 2 took 14555ms
********** Factor found in step 2: 1495355742430134135453188771
Found probable prime factor of 28 digits: 1495355742430134135453188771

467922386628042165717924464440848646887903013281445359079802375129587652240196678632380546475013693325193560113508556649475047918560627821193105928412250866915594599533447713041961049371070277337<195>

141699181843522362242222404474963072951279<42>
3302223629948451774973349614575977154619048268353448136101021233175965179936061114438039614604073183971554907961668283515916473852845018496777108907096503<154>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2822120301
Step 1 took 406972ms
Step 2 took 99905ms
********** Factor found in step 2: 141699181843522362242222404474963072951279
Found probable prime factor of 42 digits: 141699181843522362242222404474963072951279

274860877598044195757345934532548437530106718645550199234719144082578907335164616579621575515234629317553678765827742462085625420640106774080021225038789182465736349410933945710961690376102621<192>

217733570487695803760726356605529<33>

1262372527040228162965419591097899414730970943644090689845403296748041308996581818294905803361953068857764377793644444125334337229242512651920761170067917837349<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1419436689
Step 1 took 31543ms
********** Factor found in step 1: 217733570487695803760726356605529
Found probable prime factor of 33 digits: 217733570487695803760726356605529

1262372527040228162965419591097899414730970943644090689845403296748041308996581818294905803361953068857764377793644444125334337229242512651920761170067917837349<160>

60760065655005238361619050239803554389784884668588077<53>
20776352254257934095038248990627327592329679948898572944644111460780123645465279617276118645287246118520537<107>

Sat Mar 07 19:48:09 2020 -> factmsieve.py (v0.86)

Sat Mar 07 19:48:09 2020 -> Selected lattice siever: gnfs-lasieve4I15e

Sat Mar 07 19:48:09 2020 -> Lattice sieving algebraic q from 30000000 to 61000000.
Sat Apr 11 20:57:08 2020 Found 82033850 relations, 102.7% of the estimated minimum (79880178).

 
 
Sun Apr 12 06:41:35 2020  
Sun Apr 12 06:41:35 2020  Msieve v. 1.54 (SVN Unversioned directory)
Sun Apr 12 06:41:35 2020  random seeds: 905e44e8 8ea75b94
Sun Apr 12 06:41:35 2020  factoring 1262372527040228162965419591097899414730970943644090689845403296748041308996581818294905803361953068857764377793644444125334337229242512651920761170067917837349 (160 digits)
Sun Apr 12 06:41:36 2020  searching for 15-digit factors
Sun Apr 12 06:41:37 2020  commencing number field sieve (160-digit input)
Sun Apr 12 06:41:37 2020  R0: -16029545199866811125755410123845
Sun Apr 12 06:41:37 2020  R1: 130100560777841050991
Sun Apr 12 06:41:37 2020  A0: 362743500961484483553989580112177784184
Sun Apr 12 06:41:37 2020  A1: 446608376922063208707148411882953
Sun Apr 12 06:41:37 2020  A2: -60909002100805305117632561
Sun Apr 12 06:41:37 2020  A3: -5049042770469723463
Sun Apr 12 06:41:37 2020  A4: 250043115732
Sun Apr 12 06:41:37 2020  A5: 7155
Sun Apr 12 06:41:37 2020  skew 15143006.84, size 1.850e-15, alpha -6.749, combined = 1.673e-12 rroots = 5
Sun Apr 12 06:41:37 2020  
Sun Apr 12 06:41:37 2020  commencing square root phase
Sun Apr 12 06:41:37 2020  reading relations for dependency 1
Sun Apr 12 06:41:38 2020  read 1919823 cycles
Sun Apr 12 06:41:41 2020  cycles contain 4863804 unique relations
Sun Apr 12 06:42:16 2020  read 4863804 relations
Sun Apr 12 06:42:48 2020  multiplying 4863804 relations
Sun Apr 12 06:53:13 2020  multiply complete, coefficients have about 246.77 million bits
Sun Apr 12 06:53:15 2020  initial square root is modulo 717362069
Sun Apr 12 07:06:24 2020  GCD is N, no factor found
Sun Apr 12 07:06:24 2020  reading relations for dependency 2
Sun Apr 12 07:06:25 2020  read 1921806 cycles
Sun Apr 12 07:06:28 2020  cycles contain 4867966 unique relations
Sun Apr 12 07:07:03 2020  read 4867966 relations
Sun Apr 12 07:07:33 2020  multiplying 4867966 relations
Sun Apr 12 07:17:49 2020  multiply complete, coefficients have about 246.98 million bits
Sun Apr 12 07:17:51 2020  initial square root is modulo 730356491
Sun Apr 12 07:30:50 2020  sqrtTime: 2953
Sun Apr 12 07:30:50 2020  p53 factor: 60760065655005238361619050239803554389784884668588077
Sun Apr 12 07:30:50 2020  p107 factor: 20776352254257934095038248990627327592329679948898572944644111460780123645465279617276118645287246118520537
Sun Apr 12 07:30:50 2020  elapsed time 00:49:15
Sun Apr 12 07:30:50 2020 -> Computing time scale for this machine...
Sun Apr 12 07:30:50 2020 -> procrels -speedtest> PIPE

1772573261053437817466026328277799830338826013613663737808066413051296450676201387816811559852184001379098645349302502966176856978671602226854629892687066802655488290381723627200440772745578865742670965572371837446661536515211<226>

35035348105365410572749735935257876291374076211551778025022195301700251837112219138972760291384366412220683730573449257652828641948962311666869575725390498384914838508981986934307699289664679696204436856682387427831910104587<224>

1127236179955273015362455916059475676689644874413760772522539122761545221040278639069096346324819395912611442723474310869186109848895498358549936107965817596902748077079399047303374446544594111108332732698764150461<214>

8254364736023830409826016059472957<34>

136562438904083178676311321952957116287163936248346453003558976177783059865202341379743169190028294863940731358159046534838217488589445496984202807609308156248340997612251821087873<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2654983528
Step 1 took 43183ms
Step 2 took 14135ms
********** Factor found in step 2: 8254364736023830409826016059472957
Found probable prime factor of 34 digits: 8254364736023830409826016059472957

136562438904083178676311321952957116287163936248346453003558976177783059865202341379743169190028294863940731358159046534838217488589445496984202807609308156248340997612251821087873<180>

159300140260508734313329851802014719449<39>
857265026137190788069791500759617437655590815095995499248122387952973602979102669666953982693137959560216342446261341079645995855354647724777<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4101222135
Step 1 took 32762ms
Step 2 took 10996ms
********** Factor found in step 2: 159300140260508734313329851802014719449
Found probable prime factor of 39 digits: 159300140260508734313329851802014719449

1444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441<247>

429693541639144503705812732988197911657076173185871<51>

3361568896135481265358455831947447024336369622851204787800211095509280148348403522193284755546995312016961185888442626178001380598846266506873365682685197392235594125481328975107158684481388475671<196>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 1444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444441 (247 digits)
[Sun Oct 13 20:50:13 2013]
Using MODMULN
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=3939629125
dF=262144, k=4, d=2852850, d2=17, i0=75
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
23      82      335     1521    7650    42057   250476  1603736 1.1e+007        7.9e+007
Step 1 took 2695120ms
Using 29 small primes for NTT
Estimated memory usage: 1524M
Initializing tables of differences for F took 796ms
Computing roots of F took 65083ms
Building F from its roots took 43509ms
Computing 1/F took 17722ms
Initializing table of differences for G took 1045ms
Computing roots of G took 52494ms
Building G from its roots took 41138ms
Computing roots of G took 53399ms
Building G from its roots took 41122ms
Computing G * H took 9891ms
Reducing  G * H mod F took 9532ms
Computing roots of G took 51464ms
Building G from its roots took 40436ms
Computing G * H took 9952ms
Reducing  G * H mod F took 8643ms
Computing roots of G took 51449ms
Building G from its roots took 40701ms
Computing G * H took 9875ms
Reducing  G * H mod F took 9063ms
Computing polyeval(F,G) took 84053ms
Computing product of all F(g_i) took 343ms
Step 2 took 644346ms
********** Factor found in step 2: 429693541639144503705812732988197911657076173185871
Found probable prime factor of 51 digits: 429693541639144503705812732988197911657076173185871
Composite cofactor 3361568896135481265358455831947447024336369622851204787800211095509280148348403522193284755546995312016961185888442626178001380598846266506873365682685197392235594125481328975107158684481388475671 has 196 digits

GMP-ECM

16055782976087795637137938600775166013576951965246979057738376367370135465062463676349946450193298420730808430747124519561526196559383792142833128505077988815498466340834187717848319639143948329305484976699694969542367699250237950419<233>

626799079166097574548520497294983739653<39>
25615517810665322081594827469615633423937566617200239155363266664438924174345871677205445831636560627849866304090983904390123580736118963490799004859157498853505537146621405006085908700768472823<194>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=429945598
Step 1 took 49377ms
Step 2 took 15496ms
********** Factor found in step 2: 626799079166097574548520497294983739653
Found probable prime factor of 39 digits: 626799079166097574548520497294983739653

1144540499594338015340007879995642887811245172385013847146393597438445451247517038535775548159602147921843296762523178510843807619794438645437800653757772726743404415755090143046777854587104864345329502004712632568656718157918175029<232>

501514287834987283772618592530717<33>

2282169276842068688185403003998120765225439939728480570774872503197724705590933064190767250343998102836316745108897990617124022421322150077922603855128815643232092066754182376339550880475050526540537<199>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3461332972
Step 1 took 43471ms
Step 2 took 14838ms
********** Factor found in step 2: 501514287834987283772618592530717
Found probable prime factor of 33 digits: 501514287834987283772618592530717

2282169276842068688185403003998120765225439939728480570774872503197724705590933064190767250343998102836316745108897990617124022421322150077922603855128815643232092066754182376339550880475050526540537<199>

12511185162132011344775030287458130919<38>
182410319027935145563285125161504337011986328798579497570793895204756543936074823724035177859193779948537404798876325485898968899436680270599919154835391926062623<162>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2172785910
Step 1 took 138083ms
Step 2 took 41474ms
********** Factor found in step 2: 12511185162132011344775030287458130919
Found probable prime factor of 38 digits: 12511185162132011344775030287458130919

1779072724588796878843838624625402250426444889148142623972823475663102117921730893736141949193625487001441654743778090821121375365398524449457855795978692384631387961937293598291924962880185493885080109549951682670907292322523<226>

13028273760238449453149389779172721554000346293388214390056963095969304867840407769745944100780050019314298902480925562894791479045262147805376004812554086805549771523466885933824687479912418144078363172972923472994003665397<224>

532078028448766150043047578955549<33>
24485645081458091666628560455556194798605000200787652023619836654566931788349382864430433406318378971280350149964376903136252186117357981572092221831372424029951327175772209110161803972013753<191>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 13028273760238449453149389779172721554000346293388214390056963095969304867840407769745944100780050019314298902480925562894791479045262147805376004812554086805549771523466885933824687479912418144078363172972923472994003665397 (224 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2515797354
Step 1 took 7270ms
Step 2 took 3947ms
********** Factor found in step 2: 532078028448766150043047578955549
Found probable prime factor of 33 digits: 532078028448766150043047578955549
Probable prime cofactor 24485645081458091666628560455556194798605000200787652023619836654566931788349382864430433406318378971280350149964376903136252186117357981572092221831372424029951327175772209110161803972013753 has 191 digits

151318550231110046342441840235151842329132173339250663444906473346024712232578032879728001030435430726426218499200730719238292059252283267058788667352819540868095811950904043440300075920208008781355783002808059882892658353137340158294508994061<243>

2576886730697684639533454794559078467572591318231548705711051560234112793115535896543852240649427581557767239426389848797294077677315969667645580917528304035427682500565034499038045845532931674295914712285626378824779<217>

9367623702693044615946512324143628874517888071869980241937891152855274795099235864920101659924427099361154789658397014781612231075039162049995641341630361027237040716709318865986719231<184>

2244661575279615204917058281750889734747968412799259800129014293164089819750788798530255129972522115180426423158627245637771360358400934825761280981372740610800993606253178691564900580936163526311782250957333914638461967<220>

14683167587769185195491390996859774641802373510757775671567029931152066744318951081350994118117365238313313258945653067058629440228611692773578415624851892111063911586447494581725673672398167972521110994797038771147024606613897730447237643<239>

218444231685422817647728667053953053491<39>
67217007629270440345883848793841011671562374926508458456977220463544125781242767960118151878375905459783901781694403846446308577810994794237958853063414129441708226342914826967716394342472890650940873<200>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 14683167587769185195491390996859774641802373510757775671567029931152066744318951081350994118117365238313313258945653067058629440228611692773578415624851892111063911586447494581725673672398167972521110994797038771147024606613897730447237643 (239 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=56392034
Step 1 took 8206ms
Step 2 took 4181ms
********** Factor found in step 2: 218444231685422817647728667053953053491
Found probable prime factor of 39 digits: 218444231685422817647728667053953053491
Probable prime cofactor 67217007629270440345883848793841011671562374926508458456977220463544125781242767960118151878375905459783901781694403846446308577810994794237958853063414129441708226342914826967716394342472890650940873 has 200 digits

1313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131<259>

28473180454256740477911382701447751713866438881223032612742843375605055084652955735155616882405764723919661826225989443020785421731607420548875309372056858751122500383292813807302275664191690211796657686663600324156208248461353133144972293405173357864073417<257>

1000216191757425922886301802335999160843149061950758750330573738059570017627676931581226902756632789071822012389991141802990234730563538568373730464469469179126246802281888227600386420833972180010832438644083<208>

135197734876740425033926247036535643629191215768108315180933827374942389634682757385831048731644494911603198048164282278263829915066895205259232586631309827757283222878644415865696425103008291865527953204651909446134887206111226239881026320112593100331<252>

2083005229999585407696434599128817652107382660694869406463216208924277584986867293081033670437515597235628092760493662010612837014074925393715189983815456787824715113369510604146683959985525540909217916025552428704412744360015706948353327515253<244>

62026834933281992017474302186774879128923885338139690618502246668254491043265549288333981206529312466516591943175332279610126872298474850807651075725501784900167640661500954647460056992450534364505235317199003601437271033644133<227>

122221274946650156650680285549408227611161453764279585788291809470183660898910796706021647155985336010345499414782704422369492327538959208010027051158854257649447247402365903649560173927255499170154286130852018519338033820192689439611<234>

337976827802780060275725605735961671<36>

361626197101210895575656654356380484560187867141161199242503758882713825684920046463021551833362313608395959320844548892268271641518548127697346952831441991760379395336569554709096352335028508964141<198>

Run 109 out of 606:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3414475220
Step 1 took 97712ms
Step 2 took 27572ms
********** Factor found in step 2: 337976827802780060275725605735961671
Found probable prime factor of 36 digits: 337976827802780060275725605735961671
Composite cofactor 361626197101210895575656654356380484560187867141161199242503758882713825684920046463021551833362313608395959320844548892268271641518548127697346952831441991760379395336569554709096352335028508964141 has 198 digits

GMP-ECM 6.4.4

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