758539646573941437749720403994032529006687526133316212579427198765475459899081071283698953488066677740729619955184599536546418305464718655739<141>

15449228959889505678903871315182748873746361954118799891643517789<65>
49098867557942295120670149975881643072020141070454812365305226919065044586551<77>

Number: trial
N=758539646573941437749720403994032529006687526133316212579427198765475459899081071283698953488066677740729619955184599536546418305464718655739
  ( 141 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=15449228959889505678903871315182748873746361954118799891643517789 (pp65)
 r2=49098867557942295120670149975881643072020141070454812365305226919065044586551 (pp77)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 86.37 hours.
Scaled time: 45.95 units (timescale=0.532).
Factorization parameters were as follows:
n: 758539646573941437749720403994032529006687526133316212579427198765475459899081071283698953488066677740729619955184599536546418305464718655739
m: 10000000000000000000000000000000
c5: 61
c0: -70
skew: 1.03
type: snfsFactor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 3100001)
Primes: RFBsize:216816, AFBsize:215937, largePrimes:5630489 encountered
Relations: rels:5528421, finalFF:498175
Max relations in full relation-set: 0
Initial matrix: 432818 x 498175 with sparse part having weight 45488559.
Pruned matrix : 406257 x 408485 with weight 32614309.
Total sieving time: 68.87 hours.
Total relation processing time: 0.60 hours.
Matrix solve time: 16.55 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 86.37 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

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

338611666497158570577221038924531523369668099643294585815227989598756413572175554597195188944774585124940329355800182760989710494079<132>

9817212608718080906317171875037375502190241<43>
34491630159507572267087764175508621104295293798871859880831023317096973793390053303999519<89>

Number: n
N=338611666497158570577221038924531523369668099643294585815227989598756413572175554597195188944774585124940329355800182760989710494079
  ( 132 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=9817212608718080906317171875037375502190241 (pp43)
 r2=34491630159507572267087764175508621104295293798871859880831023317096973793390053303999519 (pp89)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 25.00 hours.
Scaled time: 36.23 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_6_7_155
n: 338611666497158570577221038924531523369668099643294585815227989598756413572175554597195188944774585124940329355800182760989710494079
skew: 0.65
deg: 5
c5: 61
c0: -7
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1100001)
Primes: RFBsize:216816, AFBsize:217077, largePrimes:6791757 encountered
Relations: rels:6281039, finalFF:499165
Max relations in full relation-set: 28
Initial matrix: 433958 x 499165 with sparse part having weight 31139720.
Pruned matrix : 377515 x 379748 with weight 19352078.
Total sieving time: 21.80 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.97 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 25.00 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

1229414210509808080396481586136781304990112987408467724961865348285630111489772284606331844141937676322340980381636608719581<124>

5132819123667913656014282950111020599968382579<46>
239520267690880254444053983762177434375240421775507117542386875504206305181039<78>

Number: 67777_164
N=1229414210509808080396481586136781304990112987408467724961865348285630111489772284606331844141937676322340980381636608719581
  ( 124 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=5132819123667913656014282950111020599968382579 (pp46)
 r2=239520267690880254444053983762177434375240421775507117542386875504206305181039 (pp78)
Version: GGNFS-0.77.1-20060722-k8
Total time: 148.21 hours.
Scaled time: 280.42 units (timescale=1.892).
Factorization parameters were as follows:
n: 1229414210509808080396481586136781304990112987408467724961865348285630111489772284606331844141937676322340980381636608719581
m: 1000000000000000000000000000000000
c5: 61
c0: -70
skew: 1.03
type: snfs

Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2500000, 
)
Primes: RFBsize:348513, AFBsize:347762, largePrimes:6076829 encountered
Relations: rels:6274668, finalFF:827831
Max relations in full relation-set: 32
Initial matrix: 696340 x 827831 with sparse part having weight 69285818.
Pruned matrix : 599091 x 602636 with weight 51254532.
Total sieving time: 144.01 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.82 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000
total time: 148.21 hours.
 --------- CPU info (if available) ----------
Memory: 896148k/915904k available (2823k kernel code, 19044k reserved, 1312k data, 204k init)
Calibrating delay using timer specific routine.. 3594.37 BogoMIPS (lpj=7188757)
Calibrating delay using timer specific routine.. 3591.04 BogoMIPS (lpj=7182090)

Turion64 X2 1.8GHz, Gentoo Linux

2514025070280978156173856658318084509079462260303472446853628761692169926867747112435428341002721935384211845341853088789294874496506610562869<142>

571362150201701442101639602427041315624408776223453<51>
4400055322869183148068430795279616992237472574915031133555720308758263448099841707032943673<91>

Number: n
N=2514025070280978156173856658318084509079462260303472446853628761692169926867747112435428341002721935384211845341853088789294874496506610562869
  ( 142 digits)
SNFS difficulty: 167 digits.
Divisors found:

Fri Jul 11 20:01:05 2008  prp51 factor: 571362150201701442101639602427041315624408776223453
Fri Jul 11 20:01:05 2008  prp91 factor: 4400055322869183148068430795279616992237472574915031133555720308758263448099841707032943673
Fri Jul 11 20:01:05 2008  elapsed time 03:52:37 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 95.20 hours.
Scaled time: 166.51 units (timescale=1.749).
Factorization parameters were as follows:
name: KA_6_7_166
n: 2514025070280978156173856658318084509079462260303472446853628761692169926867747112435428341002721935384211845341853088789294874496506610562869
type: snfs
skew: 0.41
deg: 5
c5: 610
c0: -7
m: 1000000000000000000000000000000000
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 4000001)
Primes: RFBsize:380800, AFBsize:381368, largePrimes:8083118 encountered
Relations: rels:7642312, finalFF:764250
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 94.85 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,48,48,2.6,2.6,100000
total time: 95.20 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

5913689754385421924941064638506622593709715696454659744653592670342697115329570254212974844663993897741044747015015353375643536731026442195443240180440855667<157>

93444174992472819257688502885450481471938296013132895952362893249876854697<74>
63285804116327054211214121309466806760944769236184213402549280405475070400939982011<83>

Number: 67777_167
N=5913689754385421924941064638506622593709715696454659744653592670342697115329570254212974844663993897741044747015015353375643536731026442195443240180440855667
  ( 157 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=93444174992472819257688502885450481471938296013132895952362893249876854697 (pp74)
 r2=63285804116327054211214121309466806760944769236184213402549280405475070400939982011 (pp83)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 150.31 hours.
Scaled time: 302.28 units (timescale=2.011).
Factorization parameters were as follows:
n: 5913689754385421924941064638506622593709715696454659744653592670342697115329570254212974844663993897741044747015015353375643536731026442195443240180440855667
m: 1000000000000000000000000000000000
c5: 6100
c0: -7
skew: 0.26
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 8450001)
Primes: RFBsize:380800, AFBsize:380633, largePrimes:6496633 encountered
Relations: rels:6945548, finalFF:1064739
Max relations in full relation-set: 32
Initial matrix: 761500 x 1064739 with sparse part having weight 95376348.
Pruned matrix : 538647 x 542518 with weight 86032135.
Total sieving time: 146.14 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.87 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 150.31 hours.

102795098400219410634465090516194534805474053557213593780153631997610268197607479386423556429973192979895429973931816909<120>

56540095809527061398275309610361450221<38>
1818092044741429958746153841013907596909769895723120119363711217697392274661650529<82>

Number: 67777_169
N=102795098400219410634465090516194534805474053557213593780153631997610268197607479386423556429973192979895429973931816909
  ( 120 digits)
Divisors found:
 r1=56540095809527061398275309610361450221 (pp38)
 r2=1818092044741429958746153841013907596909769895723120119363711217697392274661650529 (pp82)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 57.70 hours.
Scaled time: 129.60 units (timescale=2.246).
Factorization parameters were as follows:
name: 67777_169
n: 102795098400219410634465090516194534805474053557213593780153631997610268197607479386423556429973192979895429973931816909
skew: 105558.47
# norm 5.86e+015
c5: 3420
c4: -855817826
c3: -172975041238792
c2: 10097144255620342185
c1: 454824918396171751978112
c0: 4817673992078805183239899869
# alpha -4.79
Y1: 1203809206333
Y0: -124620494456053891335838
# Murphy_E 3.13e-010
# M 19860790920966959294374370574608201829699352757127470678651745225926909610626249915480516469649586859101696560082650191
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4350001)
Primes: RFBsize:315948, AFBsize:316478, largePrimes:7651281 encountered
Relations: rels:7683310, finalFF:711142
Max relations in full relation-set: 28
Initial matrix: 632504 x 711142 with sparse part having weight 59334766.
Pruned matrix : 568876 x 572102 with weight 42656010.
Total sieving time: 48.21 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 8.60 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 57.70 hours.
 --------- CPU info (if available) ----------

ggnfs-0.77.1-20060513-pentium4

Centrino Duo T7300 2GB RAM Windows XP 

218373899103757824771934513730446408208901986048652105451130131357315856486078756863651890930918440628821417715447161662433665809123509<135>

18349916058226002381325132005750817<35>
11900539403604735254297165860871207760195905493929857397119064848185233384993512653727172540270521877<101>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 218373899103757824771934513730446408208901986048652105451130131357315856486078756863651890930918440628821417715447161662433665809123509 (135 digits)
Using B1=50000, B2=12746592, polynomial x^2, sigma=5473602807
Step 1 took 202ms
Step 2 took 234ms
********** Factor found in step 2: 18349916058226002381325132005750817
Found probable prime factor of 35 digits: 18349916058226002381325132005750817
Probable prime cofactor 11900539403604735254297165860871207760195905493929857397119064848185233384993512653727172540270521877 has 101 digits

Core 2 Quad Q6600

22349505219142559327063872112379350272111271401029772138623897950019479059339808585867262529390011546670359537699531940174360800761668206785726731038884031901742371457123<170>

680178650509627549950317477248223729449777547486702359<54>
32858286866835751306739302250022784190337952518083974570626790787036830359364868731057413741899091569156250341403797<116>

Number: 67777_176
N=22349505219142559327063872112379350272111271401029772138623897950019479059339808585867262529390011546670359537699531940174360800761668206785726731038884031901742371457123
  ( 170 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=680178650509627549950317477248223729449777547486702359
 r2=32858286866835751306739302250022784190337952518083974570626790787036830359364868731057413741899091569156250341403797
Version: 
Total time: 156.79 hours.
Scaled time: 315.14 units (timescale=2.010).
Factorization parameters were as follows:
n: 22349505219142559327063872112379350272111271401029772138623897950019479059339808585867262529390011546670359537699531940174360800761668206785726731038884031901742371457123
m: 100000000000000000000000000000000000
deg: 5
c5: 610
c0: -7
skew: 0.41
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 8200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1188433 x 1188681
Total sieving time: 156.79 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,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 156.79 hours.
 --------- CPU info (if available) ----------

28168316174742855054663226579781285847082898929774005502535488708221811958910806595834219516961720057838844054957569228349098510573122999277564240593738851809053920792031<170>

364251892533181289810878880651044459692254652352530780093679600194911<69>
77331969310706822393019336195981382150096308075322038527203855378961188486350166543668189014092289921<101>

Number: 4
N=28168316174742855054663226579781285847082898929774005502535488708221811958910806595834219516961720057838844054957569228349098510573122999277564240593738851809053920792031
  ( 170 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=364251892533181289810878880651044459692254652352530780093679600194911 (pp69)
 r2=77331969310706822393019336195981382150096308075322038527203855378961188486350166543668189014092289921 (pp101)
Version: Msieve-1.40
Total time: 231.32 hours.
Scaled time: 402.27 units (timescale=1.739).
Factorization parameters were as follows:
n: 28168316174742855054663226579781285847082898929774005502535488708221811958910806595834219516961720057838844054957569228349098510573122999277564240593738851809053920792031
m: 1000000000000000000000000000000000000
deg: 5
c5: 61000
c0: -7
skew: 0.16
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1808730 x 1808955
Total sieving time: 225.67 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.92 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 231.32 hours.

GGNFS, Msieve

4812404726950066992286805460162452390854465845667642656075714226778940750000694845913484935036853828555825519776076170251025296491871064443711920741148309287<157>

15708175550683616910080939673423205979609<41>
1278777139363751926059479126613923114584993667415329959<55>
239575020898058318805067878779602493399529124675826052580607977<63>

Sieving took ~10 cpu-days.

Tue Jan 22 14:25:59 2013  commencing relation filtering
Tue Jan 22 14:25:59 2013  estimated available RAM is 48157.8 MB
Tue Jan 22 14:25:59 2013  commencing duplicate removal, pass 1
Tue Jan 22 14:30:04 2013  found 3077822 hash collisions in 21030735 relations
Tue Jan 22 14:30:36 2013  added 714156 free relations
Tue Jan 22 14:30:36 2013  commencing duplicate removal, pass 2
Tue Jan 22 14:30:45 2013  found 2791002 duplicates and 18953889 unique relations
Tue Jan 22 14:30:45 2013  memory use: 98.6 MB
Tue Jan 22 14:30:45 2013  reading ideals above 720000
Tue Jan 22 14:30:45 2013  commencing singleton removal, initial pass
Tue Jan 22 14:35:07 2013  memory use: 689.0 MB
Tue Jan 22 14:35:07 2013  reading all ideals from disk
Tue Jan 22 14:35:07 2013  memory use: 600.4 MB
Tue Jan 22 14:35:09 2013  keeping 21220201 ideals with weight <= 200, target excess is 115722
Tue Jan 22 14:35:11 2013  commencing in-memory singleton removal
Tue Jan 22 14:35:13 2013  begin with 18953889 relations and 21220201 unique ideals
Tue Jan 22 14:35:36 2013  reduce to 7395800 relations and 7243737 ideals in 20 passes
Tue Jan 22 14:35:36 2013  max relations containing the same ideal: 104
Tue Jan 22 14:35:40 2013  removing 182350 relations and 173437 ideals in 8913 cliques
Tue Jan 22 14:35:40 2013  commencing in-memory singleton removal
Tue Jan 22 14:35:40 2013  begin with 7213450 relations and 7243737 unique ideals
Tue Jan 22 14:35:48 2013  reduce to 7209635 relations and 7066477 ideals in 9 passes
Tue Jan 22 14:35:48 2013  max relations containing the same ideal: 102
Tue Jan 22 14:35:51 2013  removing 130672 relations and 121759 ideals in 8913 cliques
Tue Jan 22 14:35:51 2013  commencing in-memory singleton removal
Tue Jan 22 14:35:52 2013  begin with 7078963 relations and 7066477 unique ideals
Tue Jan 22 14:35:57 2013  reduce to 7076847 relations and 6942598 ideals in 8 passes
Tue Jan 22 14:35:57 2013  max relations containing the same ideal: 100
Tue Jan 22 14:35:59 2013  relations with 0 large ideals: 2819
Tue Jan 22 14:35:59 2013  relations with 1 large ideals: 964
Tue Jan 22 14:35:59 2013  relations with 2 large ideals: 17386
Tue Jan 22 14:35:59 2013  relations with 3 large ideals: 135972
Tue Jan 22 14:35:59 2013  relations with 4 large ideals: 572582
Tue Jan 22 14:35:59 2013  relations with 5 large ideals: 1400810
Tue Jan 22 14:35:59 2013  relations with 6 large ideals: 2107536
Tue Jan 22 14:35:59 2013  relations with 7+ large ideals: 2838778
Tue Jan 22 14:35:59 2013  commencing 2-way merge
Tue Jan 22 14:36:04 2013  reduce to 4064150 relation sets and 3929903 unique ideals
Tue Jan 22 14:36:04 2013  ignored 2 oversize relation sets
Tue Jan 22 14:36:04 2013  commencing full merge
Tue Jan 22 14:37:17 2013  memory use: 465.0 MB
Tue Jan 22 14:37:17 2013  found 2054939 cycles, need 2050103
Tue Jan 22 14:37:18 2013  weight of 2050103 cycles is about 143748793 (70.12/cycle)
Tue Jan 22 14:37:18 2013  distribution of cycle lengths:
Tue Jan 22 14:37:18 2013  1 relations: 312951
Tue Jan 22 14:37:18 2013  2 relations: 271425
Tue Jan 22 14:37:18 2013  3 relations: 251160
Tue Jan 22 14:37:18 2013  4 relations: 214380
Tue Jan 22 14:37:18 2013  5 relations: 181732
Tue Jan 22 14:37:18 2013  6 relations: 149291
Tue Jan 22 14:37:18 2013  7 relations: 124713
Tue Jan 22 14:37:18 2013  8 relations: 100700
Tue Jan 22 14:37:18 2013  9 relations: 81381
Tue Jan 22 14:37:18 2013  10+ relations: 362370
Tue Jan 22 14:37:18 2013  heaviest cycle: 28 relations
Tue Jan 22 14:37:19 2013  commencing cycle optimization
Tue Jan 22 14:37:22 2013  start with 11842209 relations
Tue Jan 22 14:37:40 2013  pruned 241165 relations
Tue Jan 22 14:37:40 2013  memory use: 402.6 MB
Tue Jan 22 14:37:40 2013  distribution of cycle lengths:
Tue Jan 22 14:37:40 2013  1 relations: 312951
Tue Jan 22 14:37:40 2013  2 relations: 276988
Tue Jan 22 14:37:40 2013  3 relations: 258760
Tue Jan 22 14:37:40 2013  4 relations: 218282
Tue Jan 22 14:37:40 2013  5 relations: 184178
Tue Jan 22 14:37:40 2013  6 relations: 149708
Tue Jan 22 14:37:40 2013  7 relations: 124232
Tue Jan 22 14:37:40 2013  8 relations: 99751
Tue Jan 22 14:37:40 2013  9 relations: 79739
Tue Jan 22 14:37:40 2013  10+ relations: 345514
Tue Jan 22 14:37:40 2013  heaviest cycle: 28 relations
Tue Jan 22 14:37:44 2013  RelProcTime: 705
Tue Jan 22 14:37:45 2013  
Tue Jan 22 14:37:46 2013  commencing linear algebra
Tue Jan 22 14:37:46 2013  read 2050103 cycles
Tue Jan 22 14:37:50 2013  cycles contain 6874601 unique relations
Tue Jan 22 14:39:12 2013  read 6874601 relations
Tue Jan 22 14:39:22 2013  using 20 quadratic characters above 268435092
Tue Jan 22 14:39:59 2013  building initial matrix
Tue Jan 22 14:41:22 2013  memory use: 837.0 MB
Tue Jan 22 14:41:23 2013  read 2050103 cycles
Tue Jan 22 14:41:24 2013  matrix is 2050156 x 2050103 (616.1 MB) with weight 180890167 (88.23/col)
Tue Jan 22 14:41:24 2013  sparse part has weight 138954640 (67.78/col)
Tue Jan 22 14:41:48 2013  filtering completed in 2 passes
Tue Jan 22 14:41:49 2013  matrix is 2047553 x 2047652 (615.9 MB) with weight 180796940 (88.29/col)
Tue Jan 22 14:41:49 2013  sparse part has weight 138917348 (67.84/col)
Tue Jan 22 14:41:53 2013  matrix starts at (0, 0)
Tue Jan 22 14:41:54 2013  matrix is 2047553 x 2047652 (615.9 MB) with weight 180796940 (88.29/col)
Tue Jan 22 14:41:54 2013  sparse part has weight 138917348 (67.84/col)
Tue Jan 22 14:41:54 2013  saving the first 48 matrix rows for later
Tue Jan 22 14:41:55 2013  matrix includes 64 packed rows
Tue Jan 22 14:41:55 2013  matrix is 2047505 x 2047652 (583.2 MB) with weight 143699834 (70.18/col)
Tue Jan 22 14:41:55 2013  sparse part has weight 132398592 (64.66/col)
Tue Jan 22 14:41:55 2013  using block size 262144 for processor cache size 12288 kB
Tue Jan 22 14:42:00 2013  commencing Lanczos iteration (16 threads)
Tue Jan 22 14:42:00 2013  memory use: 881.8 MB
Tue Jan 22 14:42:12 2013  linear algebra at 0.1%, ETA 4h29m
Tue Jan 22 14:42:16 2013  checkpointing every 460000 dimensions
Tue Jan 22 19:02:05 2013  lanczos halted after 32378 iterations (dim = 2047472)
Tue Jan 22 19:02:09 2013  recovered 33 nontrivial dependencies
Tue Jan 22 19:02:09 2013  BLanczosTime: 15864
Tue Jan 22 19:02:09 2013  
Tue Jan 22 19:02:09 2013  commencing square root phase
Tue Jan 22 19:02:09 2013  reading relations for dependency 1
Tue Jan 22 19:02:09 2013  read 1023569 cycles
Tue Jan 22 19:02:11 2013  cycles contain 3438662 unique relations
Tue Jan 22 19:02:55 2013  read 3438662 relations
Tue Jan 22 19:03:12 2013  multiplying 3438662 relations
Tue Jan 22 19:06:29 2013  multiply complete, coefficients have about 109.87 million bits
Tue Jan 22 19:06:30 2013  initial square root is modulo 76950301
Tue Jan 22 19:10:43 2013  sqrtTime: 514

PRP41 = 15708175550683616910080939673423205979609
PRP55 = 1278777139363751926059479126613923114584993667415329959
PRP63 = 239575020898058318805067878779602493399529124675826052580607977
NFS elapsed time = 17088.1456 seconds.

144808938016560333161052966541573385165652806900345314730858775691965262765650053955767629849565642240324416936509698065168954236714673059723672496169<150>

92333598998426791123370540528675140388992801<44>
2429870167573462898045784735087581036500546808255521<52>
645435034777792988796209183691281476745492788243539689<54>

Fri Jan 25 07:09:55 2013  commencing relation filtering
Fri Jan 25 07:09:55 2013  estimated available RAM is 48157.8 MB
Fri Jan 25 07:09:55 2013  commencing duplicate removal, pass 1
Fri Jan 25 07:14:15 2013  skipped 1 relations with b > 2^32
Fri Jan 25 07:14:15 2013  found 2801540 hash collisions in 21365079 relations
Fri Jan 25 07:14:48 2013  added 714620 free relations
Fri Jan 25 07:14:48 2013  commencing duplicate removal, pass 2
Fri Jan 25 07:14:58 2013  found 2413054 duplicates and 19666645 unique relations
Fri Jan 25 07:14:58 2013  memory use: 98.6 MB
Fri Jan 25 07:14:58 2013  reading ideals above 720000
Fri Jan 25 07:14:58 2013  commencing singleton removal, initial pass
Fri Jan 25 07:19:31 2013  memory use: 689.0 MB
Fri Jan 25 07:19:31 2013  reading all ideals from disk
Fri Jan 25 07:19:31 2013  memory use: 618.6 MB
Fri Jan 25 07:19:33 2013  keeping 21399255 ideals with weight <= 200, target excess is 116281
Fri Jan 25 07:19:35 2013  commencing in-memory singleton removal
Fri Jan 25 07:19:36 2013  begin with 19666645 relations and 21399255 unique ideals
Fri Jan 25 07:19:55 2013  reduce to 8395487 relations and 7843506 ideals in 19 passes
Fri Jan 25 07:19:55 2013  max relations containing the same ideal: 108
Fri Jan 25 07:19:59 2013  removing 1508852 relations and 1300304 ideals in 208548 cliques
Fri Jan 25 07:20:00 2013  commencing in-memory singleton removal
Fri Jan 25 07:20:00 2013  begin with 6886635 relations and 7843506 unique ideals
Fri Jan 25 07:20:07 2013  reduce to 6686237 relations and 6336360 ideals in 10 passes
Fri Jan 25 07:20:07 2013  max relations containing the same ideal: 94
Fri Jan 25 07:20:10 2013  removing 1133794 relations and 925246 ideals in 208548 cliques
Fri Jan 25 07:20:10 2013  commencing in-memory singleton removal
Fri Jan 25 07:20:11 2013  begin with 5552443 relations and 6336360 unique ideals
Fri Jan 25 07:20:15 2013  reduce to 5405177 relations and 5259211 ideals in 10 passes
Fri Jan 25 07:20:15 2013  max relations containing the same ideal: 80
Fri Jan 25 07:20:18 2013  removing 102997 relations and 91917 ideals in 11080 cliques
Fri Jan 25 07:20:18 2013  commencing in-memory singleton removal
Fri Jan 25 07:20:18 2013  begin with 5302180 relations and 5259211 unique ideals
Fri Jan 25 07:20:21 2013  reduce to 5300881 relations and 5165987 ideals in 6 passes
Fri Jan 25 07:20:21 2013  max relations containing the same ideal: 78
Fri Jan 25 07:20:23 2013  relations with 0 large ideals: 2899
Fri Jan 25 07:20:23 2013  relations with 1 large ideals: 1071
Fri Jan 25 07:20:23 2013  relations with 2 large ideals: 19040
Fri Jan 25 07:20:23 2013  relations with 3 large ideals: 134887
Fri Jan 25 07:20:23 2013  relations with 4 large ideals: 515366
Fri Jan 25 07:20:23 2013  relations with 5 large ideals: 1142099
Fri Jan 25 07:20:23 2013  relations with 6 large ideals: 1570326
Fri Jan 25 07:20:23 2013  relations with 7+ large ideals: 1915193
Fri Jan 25 07:20:23 2013  commencing 2-way merge
Fri Jan 25 07:20:26 2013  reduce to 3204302 relation sets and 3069408 unique ideals
Fri Jan 25 07:20:26 2013  commencing full merge
Fri Jan 25 07:21:17 2013  memory use: 375.9 MB
Fri Jan 25 07:21:18 2013  found 1642973 cycles, need 1625608
Fri Jan 25 07:21:18 2013  weight of 1625608 cycles is about 114086820 (70.18/cycle)
Fri Jan 25 07:21:18 2013  distribution of cycle lengths:
Fri Jan 25 07:21:18 2013  1 relations: 220796
Fri Jan 25 07:21:18 2013  2 relations: 195767
Fri Jan 25 07:21:18 2013  3 relations: 183952
Fri Jan 25 07:21:18 2013  4 relations: 165032
Fri Jan 25 07:21:18 2013  5 relations: 150238
Fri Jan 25 07:21:18 2013  6 relations: 128019
Fri Jan 25 07:21:18 2013  7 relations: 112097
Fri Jan 25 07:21:18 2013  8 relations: 95960
Fri Jan 25 07:21:18 2013  9 relations: 79944
Fri Jan 25 07:21:18 2013  10+ relations: 293803
Fri Jan 25 07:21:18 2013  heaviest cycle: 22 relations
Fri Jan 25 07:21:19 2013  commencing cycle optimization
Fri Jan 25 07:21:21 2013  start with 9358596 relations
Fri Jan 25 07:21:34 2013  pruned 214975 relations
Fri Jan 25 07:21:34 2013  memory use: 309.9 MB
Fri Jan 25 07:21:34 2013  distribution of cycle lengths:
Fri Jan 25 07:21:34 2013  1 relations: 220796
Fri Jan 25 07:21:34 2013  2 relations: 199781
Fri Jan 25 07:21:34 2013  3 relations: 189741
Fri Jan 25 07:21:34 2013  4 relations: 168788
Fri Jan 25 07:21:34 2013  5 relations: 153241
Fri Jan 25 07:21:34 2013  6 relations: 129995
Fri Jan 25 07:21:34 2013  7 relations: 112904
Fri Jan 25 07:21:34 2013  8 relations: 95898
Fri Jan 25 07:21:34 2013  9 relations: 79473
Fri Jan 25 07:21:34 2013  10+ relations: 274991
Fri Jan 25 07:21:34 2013  heaviest cycle: 22 relations
Fri Jan 25 07:21:36 2013  RelProcTime: 701
Fri Jan 25 07:21:37 2013  
Fri Jan 25 07:21:37 2013  commencing linear algebra
Fri Jan 25 07:21:37 2013  read 1625608 cycles
Fri Jan 25 07:21:40 2013  cycles contain 5192721 unique relations
Fri Jan 25 07:22:43 2013  read 5192721 relations
Fri Jan 25 07:22:50 2013  using 20 quadratic characters above 268432734
Fri Jan 25 07:23:17 2013  building initial matrix
Fri Jan 25 07:24:26 2013  memory use: 647.7 MB
Fri Jan 25 07:24:28 2013  read 1625608 cycles
Fri Jan 25 07:24:28 2013  matrix is 1625638 x 1625608 (487.6 MB) with weight 144887017 (89.13/col)
Fri Jan 25 07:24:28 2013  sparse part has weight 109936077 (67.63/col)
Fri Jan 25 07:24:45 2013  filtering completed in 2 passes
Fri Jan 25 07:24:46 2013  matrix is 1623939 x 1624039 (487.4 MB) with weight 144833311 (89.18/col)
Fri Jan 25 07:24:46 2013  sparse part has weight 109917075 (67.68/col)
Fri Jan 25 07:24:50 2013  matrix starts at (0, 0)
Fri Jan 25 07:24:51 2013  matrix is 1623939 x 1624039 (487.4 MB) with weight 144833311 (89.18/col)
Fri Jan 25 07:24:51 2013  sparse part has weight 109917075 (67.68/col)
Fri Jan 25 07:24:51 2013  saving the first 48 matrix rows for later
Fri Jan 25 07:24:52 2013  matrix includes 64 packed rows
Fri Jan 25 07:24:52 2013  matrix is 1623891 x 1624039 (463.1 MB) with weight 115101672 (70.87/col)
Fri Jan 25 07:24:52 2013  sparse part has weight 105145651 (64.74/col)
Fri Jan 25 07:24:52 2013  using block size 262144 for processor cache size 12288 kB
Fri Jan 25 07:24:56 2013  commencing Lanczos iteration (16 threads)
Fri Jan 25 07:24:56 2013  memory use: 696.0 MB
Fri Jan 25 07:25:06 2013  linear algebra at 0.1%, ETA 2h58m
Fri Jan 25 07:25:09 2013  checkpointing every 570000 dimensions
Fri Jan 25 10:05:36 2013  lanczos halted after 25678 iterations (dim = 1623854)
Fri Jan 25 10:05:39 2013  recovered 31 nontrivial dependencies
Fri Jan 25 10:05:39 2013  BLanczosTime: 9842
Fri Jan 25 10:05:39 2013  
Fri Jan 25 10:05:39 2013  commencing square root phase
Fri Jan 25 10:05:39 2013  reading relations for dependency 1
Fri Jan 25 10:05:39 2013  read 812644 cycles
Fri Jan 25 10:05:41 2013  cycles contain 2596650 unique relations
Fri Jan 25 10:06:16 2013  read 2596650 relations
Fri Jan 25 10:06:29 2013  multiplying 2596650 relations
Fri Jan 25 10:08:31 2013  multiply complete, coefficients have about 72.79 million bits
Fri Jan 25 10:08:31 2013  initial square root is modulo 167891
Fri Jan 25 10:11:13 2013  GCD is 1, no factor found
Fri Jan 25 10:11:13 2013  reading relations for dependency 2
Fri Jan 25 10:11:13 2013  read 812369 cycles
Fri Jan 25 10:11:14 2013  cycles contain 2598402 unique relations
Fri Jan 25 10:11:47 2013  read 2598402 relations
Fri Jan 25 10:11:59 2013  multiplying 2598402 relations
Fri Jan 25 10:14:01 2013  multiply complete, coefficients have about 72.84 million bits
Fri Jan 25 10:14:01 2013  initial square root is modulo 169241
Fri Jan 25 10:16:44 2013  found factor: 645435034777792988796209183691281476745492788243539689
Fri Jan 25 10:16:44 2013  reading relations for dependency 3
Fri Jan 25 10:16:44 2013  read 812029 cycles
Fri Jan 25 10:16:45 2013  cycles contain 2593756 unique relations
Fri Jan 25 10:17:18 2013  read 2593756 relations
Fri Jan 25 10:17:31 2013  multiplying 2593756 relations
Fri Jan 25 10:19:32 2013  multiply complete, coefficients have about 72.71 million bits
Fri Jan 25 10:19:33 2013  initial square root is modulo 165541
Fri Jan 25 10:22:16 2013  sqrtTime: 997


prp54 = 645435034777792988796209183691281476745492788243539689
prp44 = 92333598998426791123370540528675140388992801
prp52 = 2429870167573462898045784735087581036500546808255521
NFS elapsed time = 54313.5639 seconds.

YAFU 1.33

21629072377974581720229065132892673015618267838085380186417437956742091738721253877583219001983551921783184307699761227458466546687<131>

824978914747918693560935356005485199233<39>
240133410788291625341200280280267296905327<42>
109179840536766784953562310705149908464858846735857<51>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 21629072377974581720229065132892673015618267838085380186417437956742091738721253877583219001983551921783184307699761227458466546687 (131 digits)
Using B1=1220000, B2=1114536822, polynomial Dickson(6), sigma=2600096731
Step 1 took 11092ms
Step 2 took 5898ms
********** Factor found in step 2: 240133410788291625341200280280267296905327
Found probable prime factor of 42 digits: 240133410788291625341200280280267296905327
Composite cofactor 90071066358372683019711240485258915593667540152249648664868090325489848213660787369997681 has 89 digits


Tue Feb 05 09:17:00 2008  
Tue Feb 05 09:17:00 2008  
Tue Feb 05 09:17:00 2008  Msieve v. 1.33
Tue Feb 05 09:17:00 2008  random seeds: 9b5e2ca0 656e7f58
Tue Feb 05 09:17:00 2008  factoring 90071066358372683019711240485258915593667540152249648664868090325489848213660787369997681 (89 digits)
Tue Feb 05 09:17:00 2008  searching for 15-digit factors
Tue Feb 05 09:17:01 2008  commencing quadratic sieve (89-digit input)
Tue Feb 05 09:17:01 2008  using multiplier of 1
Tue Feb 05 09:17:01 2008  using 64kb Opteron sieve core
Tue Feb 05 09:17:01 2008  sieve interval: 17 blocks of size 65536
Tue Feb 05 09:17:01 2008  processing polynomials in batches of 6
Tue Feb 05 09:17:01 2008  using a sieve bound of 1555153 (59333 primes)
Tue Feb 05 09:17:01 2008  using large prime bound of 124412240 (26 bits)
Tue Feb 05 09:17:01 2008  using double large prime bound of 372180460082400 (42-49 bits)
Tue Feb 05 09:17:01 2008  using trial factoring cutoff of 49 bits
Tue Feb 05 09:17:01 2008  polynomial 'A' values have 11 factors
Tue Feb 05 09:59:23 2008  59447 relations (16301 full + 43146 combined from 623387 partial), need 59429
Tue Feb 05 09:59:24 2008  begin with 639687 relations
Tue Feb 05 09:59:25 2008  reduce to 143634 relations in 10 passes
Tue Feb 05 09:59:25 2008  attempting to read 143634 relations
Tue Feb 05 09:59:26 2008  recovered 143634 relations
Tue Feb 05 09:59:26 2008  recovered 118660 polynomials
Tue Feb 05 09:59:26 2008  attempting to build 59447 cycles
Tue Feb 05 09:59:26 2008  found 59447 cycles in 6 passes
Tue Feb 05 09:59:26 2008  distribution of cycle lengths:
Tue Feb 05 09:59:26 2008     length 1 : 16301
Tue Feb 05 09:59:26 2008     length 2 : 11449
Tue Feb 05 09:59:26 2008     length 3 : 10574
Tue Feb 05 09:59:26 2008     length 4 : 7994
Tue Feb 05 09:59:26 2008     length 5 : 5383
Tue Feb 05 09:59:26 2008     length 6 : 3363
Tue Feb 05 09:59:26 2008     length 7 : 1997
Tue Feb 05 09:59:26 2008     length 9+: 2386
Tue Feb 05 09:59:26 2008  largest cycle: 17 relations
Tue Feb 05 09:59:26 2008  matrix is 59333 x 59447 (14.4 MB) with weight 3545673 (59.64/col)
Tue Feb 05 09:59:26 2008  sparse part has weight 3545673 (59.64/col)
Tue Feb 05 09:59:27 2008  filtering completed in 3 passes
Tue Feb 05 09:59:27 2008  matrix is 55126 x 55189 (13.6 MB) with weight 3334863 (60.43/col)
Tue Feb 05 09:59:27 2008  sparse part has weight 3334863 (60.43/col)
Tue Feb 05 09:59:27 2008  saving the first 48 matrix rows for later
Tue Feb 05 09:59:27 2008  matrix is 55078 x 55189 (10.1 MB) with weight 2797379 (50.69/col)
Tue Feb 05 09:59:27 2008  sparse part has weight 2327254 (42.17/col)
Tue Feb 05 09:59:27 2008  matrix includes 64 packed rows
Tue Feb 05 09:59:27 2008  using block size 22075 for processor cache size 1024 kB
Tue Feb 05 09:59:28 2008  commencing Lanczos iteration
Tue Feb 05 09:59:28 2008  memory use: 9.1 MB
Tue Feb 05 09:59:47 2008  lanczos halted after 872 iterations (dim = 55078)
Tue Feb 05 09:59:48 2008  recovered 17 nontrivial dependencies
Tue Feb 05 09:59:49 2008  prp39 factor: 824978914747918693560935356005485199233
Tue Feb 05 09:59:49 2008  prp51 factor: 109179840536766784953562310705149908464858846735857
Tue Feb 05 09:59:49 2008  elapsed time 00:42:49

1080970841416331022050629666743342381657171149624820421588104192678298084558048543931093654591914055726425199962955528776347811700650873337<139>

14665419964611364050933795901821205040533923763<47>
73708822797082232779613848641107629529424611685039136964482360452762841311969337138808801699<92>

N=1080970841416331022050629666743342381657171149624820421588104192678298084558048543931093654591914055726425199962955528776347811700650873337
  ( 139 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=14665419964611364050933795901821205040533923763 (pp47)
 r2=73708822797082232779613848641107629529424611685039136964482360452762841311969337138808801699 (pp92)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 328.07 hours.
Scaled time: 579.04 units (timescale=1.765).
Factorization parameters were as follows:
n: 1080970841416331022050629666743342381657171149624820421588104192678298084558048543931093654591914055726425199962955528776347811700650873337
m: 50000000000000000000000000000000000000
deg: 5
c5: 976
c0: -35
skew: 0.51
# Murphy_E = 3.045e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5450000, 20650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2285256 x 2285483
Total sieving time: 316.15 hours.
Total relation processing time: 0.73 hours.
Matrix solve time: 10.76 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 328.07 hours.
 --------- CPU info (if available) ----------

39234349662209658791480376778732854742005143556242548574854184085364695615460049980440362131507169768084663056542208916055640984224960218782975301012422338283325189637342769111<176>

27772705197961568126975560740056575999346109433469592215071879<62>
1412694564053102771482793355770743284135955291323137981690342934320451955227888148024834106901191080903443835061809<115>

N=39234349662209658791480376778732854742005143556242548574854184085364695615460049980440362131507169768084663056542208916055640984224960218782975301012422338283325189637342769111
  ( 176 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=27772705197961568126975560740056575999346109433469592215071879 (pp62)
 r2=1412694564053102771482793355770743284135955291323137981690342934320451955227888148024834106901191080903443835061809 (pp115)
Version: Msieve v. 1.48
Total time:
Scaled time: 43.66 units (timescale=1.190).
Factorization parameters were as follows:
n: 39234349662209658791480376778732854742005143556242548574854184085364695615460049980440362131507169768084663056542208916055640984224960218782975301012422338283325189637342769111
m: 100000000000000000000000000000000000000
deg: 5
c5: 61
c0: -7
skew: 0.65
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 16060001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2222592 x 2222822
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time:

21080962661089071721799236120426280660778375078008651329899495640836545016220682788057248704976233484011701131163200745710667905883124394678757881951645342990847428612973<170>

111341401049032614695225181284115256207770240202829928337976802290003375571756521<81>
189336243863191739689122128765203371425993273320390925078873733733172465388103480751594213<90>

Sieving took ~12cpu-days.

Mon Dec 17 12:41:56 2012  commencing linear algebra
Mon Dec 17 12:42:07 2012  matrix starts at (0, 0)
Mon Dec 17 12:42:08 2012  matrix is 2091751 x 2091927 (597.8 MB) with weight 185198784 (88.53/col)
Mon Dec 17 12:42:08 2012  sparse part has weight 142071878 (67.91/col)
Mon Dec 17 12:42:08 2012  saving the first 48 matrix rows for later
Mon Dec 17 12:42:09 2012  matrix includes 64 packed rows
Mon Dec 17 12:42:09 2012  matrix is 2091703 x 2091927 (566.1 MB) with weight 146945024 (70.24/col)
Mon Dec 17 12:42:09 2012  sparse part has weight 135839765 (64.94/col)
Mon Dec 17 12:42:09 2012  using block size 65536 for processor cache size 6144 kB
Mon Dec 17 12:42:22 2012  commencing Lanczos iteration (8 threads)
Mon Dec 17 12:42:22 2012  memory use: 590.3 MB
Mon Dec 17 12:42:23 2012  restarting at iteration 13601 (dim = 860046)
Mon Dec 17 12:42:36 2012  linear algebra at 41.2%, ETA 2h55m
Mon Dec 17 12:42:39 2012  checkpointing every 450000 dimensions
Mon Dec 17 15:37:05 2012  lanczos halted after 33083 iterations (dim = 2091699)
Mon Dec 17 15:37:09 2012  recovered 36 nontrivial dependencies
Mon Dec 17 15:37:13 2012  BLanczosTime: 10517
Mon Dec 17 15:37:13 2012  elapsed time 02:55:19
Mon Dec 17 16:03:57 2012  
Mon Dec 17 16:03:57 2012  
Mon Dec 17 16:03:57 2012  Msieve v. 1.48
Mon Dec 17 16:03:57 2012  random seeds: f6673b90 c38fcd00
Mon Dec 17 16:03:57 2012  factoring 21080962661089071721799236120426280660778375078008651329899495640836545016220682788057248704976233484011701131163200745710667905883124394678757881951645342990847428612973 (170 digits)
Mon Dec 17 16:03:58 2012  searching for 15-digit factors
Mon Dec 17 16:03:59 2012  commencing number field sieve (170-digit input)
Mon Dec 17 16:03:59 2012  R0: -100000000000000000000000000000000000000
Mon Dec 17 16:03:59 2012  R1:  1
Mon Dec 17 16:03:59 2012  A0: -7
Mon Dec 17 16:03:59 2012  A1:  0
Mon Dec 17 16:03:59 2012  A2:  0
Mon Dec 17 16:03:59 2012  A3:  0
Mon Dec 17 16:03:59 2012  A4:  0
Mon Dec 17 16:03:59 2012  A5:  610
Mon Dec 17 16:03:59 2012  skew 0.41, size 1.577e-013, alpha 1.246, combined = 2.717e-011 rroots = 1
Mon Dec 17 16:03:59 2012  
Mon Dec 17 16:03:59 2012  commencing square root phase
Mon Dec 17 16:03:59 2012  reading relations for dependency 1
Mon Dec 17 16:04:01 2012  read 1045016 cycles
Mon Dec 17 16:04:04 2012  cycles contain 3306946 unique relations
Mon Dec 17 16:06:45 2012  read 3306946 relations
Mon Dec 17 16:07:06 2012  multiplying 3306946 relations
Mon Dec 17 16:14:04 2012  multiply complete, coefficients have about 106.03 million bits
Mon Dec 17 16:14:05 2012  initial square root is modulo 40808531
Mon Dec 17 16:22:39 2012  sqrtTime: 1120
Mon Dec 17 16:22:39 2012  prp81 factor: 111341401049032614695225181284115256207770240202829928337976802290003375571756521
Mon Dec 17 16:22:39 2012  prp90 factor: 189336243863191739689122128765203371425993273320390925078873733733172465388103480751594213
Mon Dec 17 16:22:39 2012  elapsed time 00:18:42

11718779184382843279250456586210081820573898701262838890356329787248042141160275981245703806699605695931449460429656513149449051106147382048648045077002628370403261077281204883840799985189<188>

148871917022887196103173270596637566280110265972604352815734320463<66>
78717191386614760145084869880046103250253825276736873003067851950357797639037591149753543341825881066726910454963973142603<122>

Number: 1
N=11718779184382843279250456586210081820573898701262838890356329787248042141160275981245703806699605695931449460429656513149449051106147382048648045077002628370403261077281204883840799985189
  ( 188 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=148871917022887196103173270596637566280110265972604352815734320463 (pp66)
 r2=78717191386614760145084869880046103250253825276736873003067851950357797639037591149753543341825881066726910454963973142603 (pp122)
Version: Msieve-1.40
Total time: 652.52 hours.
Scaled time: 1134.74 units (timescale=1.739).
Factorization parameters were as follows:
n: 11718779184382843279250456586210081820573898701262838890356329787248042141160275981245703806699605695931449460429656513149449051106147382048648045077002628370403261077281204883840799985189
m: 100000000000000000000000000000000000000
deg: 5
c5: 610000
c0: -7
skew: 0.10
type: snfs
lss: 1
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6400000, 16700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2092930 x 2093155
Total sieving time: 644.50 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 7.11 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12800000,12800000,28,28,55,55,2.5,2.5,100000
total time: 652.52 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1033468904117966617164744053188712951295398238274545348816534213750285722018672609129914860028868584067980435445547786740892587358674249064463<142>

8220267734656616984076194968665102600175751<43>

125722049144563225539286526168359515240270599258777805954104203277406563551667382606291100933254713<99>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=827780814
Step 1 took 60831ms
Step 2 took 22919ms
********** Factor found in step 2: 8220267734656616984076194968665102600175751
Found probable prime factor of 43 digits: 8220267734656616984076194968665102600175751
Composite cofactor 125722049144563225539286526168359515240270599258777805954104203277406563551667382606291100933254713 has 99 digits

n: 125722049144563225539286526168359515240270599258777805954104203277406563551667382606291100933254713
skew: 10500.09
# norm 1.21e+14
c5: 8820
c4: -548035980
c3: 3981554096009
c2: 52837491290181622
c1: 98308601546929252556
c0: -1641093621568457342427
# alpha -5.92
Y1: 25496484541
Y0: -6773433797395263490
# Murphy_E 4.16e-09
# M 109974553929546653145759885784303107096431686637934435442688088483637504155407824690812455270015758
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 162684 x 162909
Polynomial selection time: 0.33 hours.
Total sieving time: 3.83 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.33 hours.
 --------- CPU info (if available) ----------

125722049144563225539286526168359515240270599258777805954104203277406563551667382606291100933254713<99>

129530365847960281150449833906275631232344861<45>
970599043101081264357867601280047969416536509998256333<54>

N=125722049144563225539286526168359515240270599258777805954104203277406563551667382606291100933254713
  ( 99 digits)
Divisors found:
 r1=129530365847960281150449833906275631232344861 (pp45)
 r2=970599043101081264357867601280047969416536509998256333 (pp54)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.33 hours.
Scaled time: 5.35 units (timescale=1.236).
Factorization parameters were as follows:
name: c99
n: 125722049144563225539286526168359515240270599258777805954104203277406563551667382606291100933254713
skew: 10500.09
# norm 1.21e+14
c5: 8820
c4: -548035980
c3: 3981554096009
c2: 52837491290181622
c1: 98308601546929252556
c0: -1641093621568457342427
# alpha -5.92
Y1: 25496484541
Y0: -6773433797395263490
# Murphy_E 4.16e-09
# M 109974553929546653145759885784303107096431686637934435442688088483637504155407824690812455270015758
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 162684 x 162909
Polynomial selection time: 0.33 hours.
Total sieving time: 3.83 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.33 hours.
 --------- CPU info (if available) ----------

1961037494001804061075908508487402289361014397398079137497875459471024203369117313009124325115020704327292833658171081393883777965584393370966476089653794423291<160>

19005459504590631222872671064679756726835839380301207528931279738593484261739977<80>
103182850881775820476901045610908883267415521116206964942223648760469060902347683<81>

Number: 67777_197
N = 1961037494001804061075908508487402289361014397398079137497875459471024203369117313009124325115020704327292833658171081393883777965584393370966476089653794423291 (160 digits)
SNFS difficulty: 199 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN 1005)
Total time: 96.57 hours.
Factorization parameters were as follows:
n: 1961037494001804061075908508487402289361014397398079137497875459471024203369117313009124325115020704327292833658171081393883777965584393370966476089653794423291
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6100
c0: -7
skew: 0.26
# Murphy_E = 1.48e-11
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 27894722
Relations: 3084588 relations
Pruned matrix : 2111301 x 2111526
Polynomial selection time: 0.00 hours.
Total sieving time: 94.15 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.19 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,199,5,0,0,0,0,0,0,0,0,12500000,12500000,28,28,55,55,2.6,2.6,100000
total time: 96.57 hours.
Intel64 Family 6 Model 94 Stepping 3, GenuineIntel
Windows-10-10.0.17134
processors: 4, speed: 2.71GHz

__Square root phase + factors__
Sat Feb 09 17:08:58 2019  Msieve v. 1.53 (SVN 1005)
Sat Feb 09 17:08:58 2019  random seeds: b34ef4b0 dd6187cb
Sat Feb 09 17:08:58 2019  factoring 1961037494001804061075908508487402289361014397398079137497875459471024203369117313009124325115020704327292833658171081393883777965584393370966476089653794423291 (160 digits)
Sat Feb 09 17:08:58 2019  searching for 15-digit factors
Sat Feb 09 17:08:59 2019  commencing number field sieve (160-digit input)
Sat Feb 09 17:08:59 2019  R0: -1000000000000000000000000000000000000000
Sat Feb 09 17:08:59 2019  R1: 1
Sat Feb 09 17:08:59 2019  A0: -7
Sat Feb 09 17:08:59 2019  A1: 0
Sat Feb 09 17:08:59 2019  A2: 0
Sat Feb 09 17:08:59 2019  A3: 0
Sat Feb 09 17:08:59 2019  A4: 0
Sat Feb 09 17:08:59 2019  A5: 6100
Sat Feb 09 17:08:59 2019  skew 0.26, size 4.834e-014, alpha 0.539, combined = 1.314e-011 rroots = 1
Sat Feb 09 17:08:59 2019  
Sat Feb 09 17:08:59 2019  commencing square root phase
Sat Feb 09 17:08:59 2019  reading relations for dependency 1
Sat Feb 09 17:08:59 2019  read 1055854 cycles
Sat Feb 09 17:09:00 2019  cycles contain 3084588 unique relations
Sat Feb 09 17:09:20 2019  read 3084588 relations
Sat Feb 09 17:09:32 2019  multiplying 3084588 relations
Sat Feb 09 17:11:10 2019  multiply complete, coefficients have about 108.82 million bits
Sat Feb 09 17:11:11 2019  initial square root is modulo 64665001
Sat Feb 09 17:13:11 2019  sqrtTime: 252
Sat Feb 09 17:13:11 2019  p80 factor: 19005459504590631222872671064679756726835839380301207528931279738593484261739977
Sat Feb 09 17:13:11 2019  p81 factor: 103182850881775820476901045610908883267415521116206964942223648760469060902347683
Sat Feb 09 17:13:11 2019  elapsed time 00:04:13
Sat Feb 09 17:13:11 2019 -> Computing 1.54975e+09 scale for this machine...
Sat Feb 09 17:13:11 2019 -> procrels -speedtest> PIPE
Sat Feb 09 17:13:13 2019 -> Factorization summary written to s199-67777_197.txt

ggnfs, msieve v1.53, factmsieve.py v0.76

Core i5-6400, Windows 10

64819667212596907365694380999723181265232482025174143286126839310026736688556405585542838891158857377028952381621641027849223277150527230022778780318412622698771102252188408819<176>

151652915046980469712140729598715093011949<42>
427421175468446879357850946431624733228755300845764602387004672243218753939788954100318624023138188796435125765096543840968296970081631<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3907079797
Step 1 took 29765ms
Step 2 took 19329ms
********** Factor found in step 2: 151652915046980469712140729598715093011949
Found probable prime factor of 42 digits: 151652915046980469712140729598715093011949
Probable prime cofactor 427421175468446879357850946431624733228755300845764602387004672243218753939788954100318624023138188796435125765096543840968296970081631 has 135 digits

GMP-ECM 6.2.3

121425576366725061550872782471570649635649069338368974619658358972759141103197977818239829637271414902311976906099560182965654086399752221131148443961987<153>

1715789050152816190455370661327444564100346585336541783<55>
70769525167391837775428444486416990478976171484573775044763449128013510924156635417807787156555189<98>

Number: 67777_201
N = 121425576366725061550872782471570649635649069338368974619658358972759141103197977818239829637271414902311976906099560182965654086399752221131148443961987 (153 digits)
SNFS difficulty: 203 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN 1005)
Total time: 107.53 hours.
Factorization parameters were as follows:
n: 121425576366725061550872782471570649635649069338368974619658358972759141103197977818239829637271414902311976906099560182965654086399752221131148443961987
m: 10000000000000000000000000000000000000000
deg: 5
c5: 610
c0: -7
skew: 0.41
# Murphy_E = 1.043e-11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.7
alambda: 2.7
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 39604598
Relations: 6102020 relations
Pruned matrix : 3637575 x 3637805
Polynomial selection time: 0.00 hours.
Total sieving time: 99.27 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 7.75 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,203,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,56,56,2.7,2.7,100000
total time: 107.53 hours.
Intel64 Family 6 Model 94 Stepping 3, GenuineIntel
Windows-10-10.0.17134
processors: 4, speed: 2.71GHz

__Square root phase + factors__
Sat Feb 16 01:55:44 2019  Msieve v. 1.53 (SVN 1005)
Sat Feb 16 01:55:44 2019  random seeds: b47c3404 bd20c8cc
Sat Feb 16 01:55:44 2019  factoring 121425576366725061550872782471570649635649069338368974619658358972759141103197977818239829637271414902311976906099560182965654086399752221131148443961987 (153 digits)
Sat Feb 16 01:55:45 2019  searching for 15-digit factors
Sat Feb 16 01:55:45 2019  commencing number field sieve (153-digit input)
Sat Feb 16 01:55:45 2019  R0: -10000000000000000000000000000000000000000
Sat Feb 16 01:55:45 2019  R1: 1
Sat Feb 16 01:55:45 2019  A0: -7
Sat Feb 16 01:55:45 2019  A1: 0
Sat Feb 16 01:55:45 2019  A2: 0
Sat Feb 16 01:55:45 2019  A3: 0
Sat Feb 16 01:55:45 2019  A4: 0
Sat Feb 16 01:55:45 2019  A5: 610
Sat Feb 16 01:55:45 2019  skew 0.41, size 2.810e-014, alpha 1.246, combined = 9.252e-012 rroots = 1
Sat Feb 16 01:55:45 2019  
Sat Feb 16 01:55:45 2019  commencing square root phase
Sat Feb 16 01:55:45 2019  reading relations for dependency 1
Sat Feb 16 01:55:46 2019  read 1818175 cycles
Sat Feb 16 01:55:48 2019  cycles contain 6104306 unique relations
Sat Feb 16 01:56:25 2019  read 6104306 relations
Sat Feb 16 01:56:51 2019  multiplying 6104306 relations
Sat Feb 16 02:00:04 2019  multiply complete, coefficients have about 197.81 million bits
Sat Feb 16 02:00:05 2019  initial square root is modulo 12557851
Sat Feb 16 02:04:10 2019  GCD is 1, no factor found
Sat Feb 16 02:04:10 2019  reading relations for dependency 2
Sat Feb 16 02:04:10 2019  read 1819828 cycles
Sat Feb 16 02:04:13 2019  cycles contain 6102020 unique relations
Sat Feb 16 02:04:50 2019  read 6102020 relations
Sat Feb 16 02:05:16 2019  multiplying 6102020 relations
Sat Feb 16 02:08:28 2019  multiply complete, coefficients have about 197.74 million bits
Sat Feb 16 02:08:29 2019  initial square root is modulo 12484741
Sat Feb 16 02:12:33 2019  sqrtTime: 1008
Sat Feb 16 02:12:33 2019  p55 factor: 1715789050152816190455370661327444564100346585336541783
Sat Feb 16 02:12:33 2019  p98 factor: 70769525167391837775428444486416990478976171484573775044763449128013510924156635417807787156555189
Sat Feb 16 02:12:33 2019  elapsed time 00:16:49
Sat Feb 16 02:12:33 2019 -> Computing 1.5503e+09 scale for this machine...
Sat Feb 16 02:12:33 2019 -> procrels -speedtest> PIPE
Sat Feb 16 02:12:35 2019 -> Factorization summary written to s203-67777_201.txt

ggnfs, factmsieve.py v0.76, msieve v1.53

Intel Core i5-6400, Windows 10

435788042366697712098205704206605959268975732924173492847141274972238609165978031000130528123548009368398480055218471533534497170772271344451124168735733297357065132479816450700689319462471<189>

5421291041908810106688061200426084596228915899916217871274682709459<67>
80384550284771073661645734249334013217266161991855173957913845707131433476854147310999615434751619697848029180735746302269<122>

Number: n
N=435788042366697712098205704206605959268975732924173492847141274972238609165978031000130528123548009368398480055218471533534497170772271344451124168735733297357065132479816450700689319462471
  ( 189 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon May 24 12:52:47 2021  p67 factor: 5421291041908810106688061200426084596228915899916217871274682709459
Mon May 24 12:52:47 2021  p122 factor: 80384550284771073661645734249334013217266161991855173957913845707131433476854147310999615434751619697848029180735746302269
Mon May 24 12:52:47 2021  elapsed time 02:09:39 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 61x10^202-7 = 67(202)
#
n: 435788042366697712098205704206605959268975732924173492847141274972238609165978031000130528123548009368398480055218471533534497170772271344451124168735733297357065132479816450700689319462471
m: 10000000000000000000000000000000000000000
deg: 5
c5: 6100
c0: -7
skew: 0.26
# Murphy_E = 9.145e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7910335 hash collisions in 54562542 relations (48583899 unique)
Msieve: matrix is 2372183 x 2372408 (830.8 MB)

Sieving start time : 2021/05/23 22:23:45
Sieving end time  : 2021/05/24 10:42:14

Total sieving time: 12hrs 18min 29secs.

Total relation processing time: 1hrs 48min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 54sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117662] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.152608] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.07 BogoMIPS (lpj=12798140)
[    0.150211] smpboot: Total of 16 processors activated (102385.12 BogoMIPS)

67777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<206>

2730884571999466280843567450332491507480193262072060137355938693157556237204606412980341<88>
24818983003793916539234114672261300627351955165169303634405018674051830205408468901788623688628188976980001190254406797<119>

Number: 67777_205
N=67777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
  ( 206 digits)
SNFS difficulty: 206 digits.
Divisors found:
 r1=2730884571999466280843567450332491507480193262072060137355938693157556237204606412980341
 r2=24818983003793916539234114672261300627351955165169303634405018674051830205408468901788623688628188976980001190254406797
Version: 
Total time: 429.17 hours.
Scaled time: 1570.33 units (timescale=3.659).
Factorization parameters were as follows:
n: 67777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 100000000000000000000000000000000000000000
deg: 5
c5: 61
c0: -7
skew: 0.65
# Murphy_E = 9.587e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [11000000, 22700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 40128519
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3722595 x 3722843
Total sieving time: 382.15 hours.
Total relation processing time: 8.81 hours.
Matrix solve time: 37.09 hours.
Time per square root: 1.12 hours.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,56,56,2.6,2.6,100000
total time: 429.17 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991712k/38797312k available (5073k kernel code, 1057684k absent, 747916k reserved, 7245k data, 1252k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.73 BogoMIPS (lpj=3333367)
Total of 12 processors activated (80000.80 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x10        Package: 0  Core: 0   SMT ID 16
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x12        Package: 0  Core: 0   SMT ID 18
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x14        Package: 0  Core: 0   SMT ID 20
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM)  Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x11        Package: 0  Core: 0   SMT ID 17
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x13        Package: 0  Core: 0   SMT ID 19
3.35GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 2 Family: 6 Model: 44 Stepping: 2
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x15        Package: 0  Core: 0   SMT ID 21
3.35GHz processor (estimate).

--------------------------------------------------------------------------

GGNFS / Msieve v1.39

Core i7 980

1933243246338408583342254431888502596958441236645124251182140013832110957559274099234356804227413811760236518730662017086093043632617965228461585967328597491877323<163>

9335202063922457619324399257509205818777944217<46>
207091740821526471239306436459384856279109789825002893654406060239772583322991034220376963749062729679537887465071619<117>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4165399528
Step 1 took 259666ms
Step 2 took 70770ms
********** Factor found in step 2: 9335202063922457619324399257509205818777944217
Found probable prime factor of 46 digits: 9335202063922457619324399257509205818777944217

19117928157401349311601241028799360841489972581741902948278183787336021660925168252736430242736241366689064266415155388666577342627766009654044839427982378847963148403<167>

303986710501492081424883033468857<33>

62890670864730158359358754189638684195901725220646410389160485135607322697804958348925235593808838588633803564863055182332098992439179<134>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2369927066
Step 1 took 7738ms
Step 2 took 5803ms
********** Factor found in step 2: 303986710501492081424883033468857
Found probable prime factor of 33 digits: 303986710501492081424883033468857
Composite cofactor 62890670864730158359358754189638684195901725220646410389160485135607322697804958348925235593808838588633803564863055182332098992439179 has 134 digits

GMP-ECM 6.3

62890670864730158359358754189638684195901725220646410389160485135607322697804958348925235593808838588633803564863055182332098992439179<134>

16631820169300642094912188894262834453<38>
3781346252216883652892502368989754611717565429413686543410032553216478269977995508830611477350943<97>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3612419360
Step 1 took 16255ms
Step 2 took 10936ms
********** Factor found in step 2: 16631820169300642094912188894262834453
Found probable prime factor of 38 digits: 16631820169300642094912188894262834453
Probable prime cofactor 3781346252216883652892502368989754611717565429413686543410032553216478269977995508830611477350943 has 97 digits

GMP-ECM 6.3

189590168509435301949032660016060763370579373833772216670492969455385041288178009181215281298851225540933261847445292214405033397590219709423294909387006455229988040916320613216632977223753<189>

1643951057736534392849209289087383<34>

115325920207424882801289270598793970971543699788274862106518136488439337454098060482692300500195029081941363469953488760580261025836821108002411279717679391<156>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2817722227
Step 1 took 9548ms
Step 2 took 6053ms
********** Factor found in step 2: 1643951057736534392849209289087383
Found probable prime factor of 34 digits: 1643951057736534392849209289087383
Composite cofactor 115325920207424882801289270598793970971543699788274862106518136488439337454098060482692300500195029081941363469953488760580261025836821108002411279717679391 has 156 digits

GMP-ECM 6.3

139442759059772941554341365096429843811252903084573682862248850264000358026963757095622569218317492299690557131586651278075366287694118768740952080915997114712171484827<168>

1797659737774022541832130711311738162009282441<46>
5780383848517658079839969414292344647239540514016892729331<58>
13419359782412205584015985671596705361731947499520632897693653937<65>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=930514036
Step 1 took 717955ms
Step 2 took 208638ms
********** Factor found in step 2: 1797659737774022541832130711311738162009282441
Found probable prime factor of 46 digits: 1797659737774022541832130711311738162009282441

N=77569050543702947653546622655282842123643830633306914918709632473002773628856243598196802684756176821397656728114123526147
  ( 122 digits)
Divisors found:
 r1=5780383848517658079839969414292344647239540514016892729331 (pp58)
 r2=13419359782412205584015985671596705361731947499520632897693653937 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 47.97 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 77569050543702947653546622655282842123643830633306914918709632473002773628856243598196802684756176821397656728114123526147
skew: 138163.35
c0: 294313055076977573305560226968
c1: -6058086881603458587987666
c2: 143233706046730233833
c3: 1286029672429700
c4: -7731912282
c5: 29700
Y0: -304359180168378443908435
Y1: 4495926799
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 240000
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [3050000, 5210001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 704697 x 704923
Total sieving time: 47.24 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6100000,6100000,27,27,54,54,2.5,2.5,100000
total time: 47.97 hours.
 --------- CPU info (if available) ----------

753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<210>

280696396495434564433769381650985928104703213654644381673156950001223<69>
2682921580595834707691184450045079943212326381621681584523255014678515858247839453214327951240427640769794707643930971038560947822746305508111<142>

Number: n
N=753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753
  ( 210 digits)
SNFS difficulty: 211 digits.
Divisors found:

Wed Dec 11 07:06:33 2013  prp69 factor: 280696396495434564433769381650985928104703213654644381673156950001223
Wed Dec 11 07:06:33 2013  prp142 factor: 2682921580595834707691184450045079943212326381621681584523255014678515858247839453214327951240427640769794707643930971038560947822746305508111
Wed Dec 11 07:06:33 2013  elapsed time 18:13:41 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.768).
Factorization parameters were as follows:
#
#  61*10^210-7 - 67(210)
#
#  c210, diff: 211.79
#
skew: 0.649
n: 753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 61
c0: -7
# Murphy_E = 5.882e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 26000000)
Primes: RFBsize:1507122, AFBsize:1506465,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8055499 hash collisions in 55201819 relations (49078832 unique)
Msieve: matrix is 3201823 x 3202048 (912.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 16hrs 23min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 14min 18sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

130216589137902251285430819175052969444170708837477454354597088296034254359139339724458643566541280683060526124278931842005171570363386718283059656020705108362059138822563271019841<180>

458170338910881846702467099654230885974979691<45>

284209993705486293108046890215878549390106580827503112784759551939844940319259382564559569339003203128521228871540961995639718545051651<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1870133987
Step 1 took 117635ms
Step 2 took 37435ms
********** Factor found in step 2: 458170338910881846702467099654230885974979691
Found probable prime factor of 45 digits: 458170338910881846702467099654230885974979691
Composite cofactor 284209993705486293108046890215878549390106580827503112784759551939844940319259382564559569339003203128521228871540961995639718545051651 has 135 digits

284209993705486293108046890215878549390106580827503112784759551939844940319259382564559569339003203128521228871540961995639718545051651<135>

15893273494650025754070917600409935391190397142252119107<56>
17882407535562558139990149163086438240973577338794127536843939554234164777552193<80>

Thu Feb  7 18:27:23 2013  commencing relation filtering
Thu Feb  7 18:27:23 2013  estimated available RAM is 48157.8 MB
Thu Feb  7 18:27:23 2013  commencing duplicate removal, pass 1
Thu Feb  7 18:30:02 2013  found 1647029 hash collisions in 12871887 relations
Thu Feb  7 18:30:23 2013  added 49 free relations
Thu Feb  7 18:30:23 2013  commencing duplicate removal, pass 2
Thu Feb  7 18:30:28 2013  found 1328320 duplicates and 11543616 unique relations
Thu Feb  7 18:30:28 2013  memory use: 49.3 MB
Thu Feb  7 18:30:28 2013  reading ideals above 720000
Thu Feb  7 18:30:28 2013  commencing singleton removal, initial pass
Thu Feb  7 18:33:13 2013  memory use: 344.5 MB
Thu Feb  7 18:33:13 2013  reading all ideals from disk
Thu Feb  7 18:33:13 2013  memory use: 358.5 MB
Thu Feb  7 18:33:14 2013  commencing in-memory singleton removal
Thu Feb  7 18:33:15 2013  begin with 11543616 relations and 11988529 unique ideals
Thu Feb  7 18:33:24 2013  reduce to 5723926 relations and 5359339 ideals in 16 passes
Thu Feb  7 18:33:24 2013  max relations containing the same ideal: 98
Thu Feb  7 18:33:27 2013  removing 869551 relations and 754557 ideals in 114994 cliques
Thu Feb  7 18:33:27 2013  commencing in-memory singleton removal
Thu Feb  7 18:33:27 2013  begin with 4854375 relations and 5359339 unique ideals
Thu Feb  7 18:33:31 2013  reduce to 4760299 relations and 4508325 ideals in 10 passes
Thu Feb  7 18:33:31 2013  max relations containing the same ideal: 89
Thu Feb  7 18:33:33 2013  removing 654001 relations and 539007 ideals in 114994 cliques
Thu Feb  7 18:33:33 2013  commencing in-memory singleton removal
Thu Feb  7 18:33:34 2013  begin with 4106298 relations and 4508325 unique ideals
Thu Feb  7 18:33:36 2013  reduce to 4038136 relations and 3899580 ideals in 8 passes
Thu Feb  7 18:33:36 2013  max relations containing the same ideal: 80
Thu Feb  7 18:33:39 2013  relations with 0 large ideals: 483
Thu Feb  7 18:33:39 2013  relations with 1 large ideals: 1254
Thu Feb  7 18:33:39 2013  relations with 2 large ideals: 19408
Thu Feb  7 18:33:39 2013  relations with 3 large ideals: 128848
Thu Feb  7 18:33:39 2013  relations with 4 large ideals: 453915
Thu Feb  7 18:33:39 2013  relations with 5 large ideals: 930977
Thu Feb  7 18:33:39 2013  relations with 6 large ideals: 1154209
Thu Feb  7 18:33:39 2013  relations with 7+ large ideals: 1349042
Thu Feb  7 18:33:39 2013  commencing 2-way merge
Thu Feb  7 18:33:41 2013  reduce to 2475311 relation sets and 2336755 unique ideals
Thu Feb  7 18:33:41 2013  commencing full merge
Thu Feb  7 18:34:24 2013  memory use: 271.1 MB
Thu Feb  7 18:34:24 2013  found 1255996 cycles, need 1234955
Thu Feb  7 18:34:25 2013  weight of 1234955 cycles is about 86672795 (70.18/cycle)
Thu Feb  7 18:34:25 2013  distribution of cycle lengths:
Thu Feb  7 18:34:25 2013  1 relations: 159881
Thu Feb  7 18:34:25 2013  2 relations: 151662
Thu Feb  7 18:34:25 2013  3 relations: 151008
Thu Feb  7 18:34:25 2013  4 relations: 133626
Thu Feb  7 18:34:25 2013  5 relations: 120813
Thu Feb  7 18:34:25 2013  6 relations: 101925
Thu Feb  7 18:34:25 2013  7 relations: 88252
Thu Feb  7 18:34:25 2013  8 relations: 73790
Thu Feb  7 18:34:25 2013  9 relations: 60829
Thu Feb  7 18:34:25 2013  10+ relations: 193169
Thu Feb  7 18:34:25 2013  heaviest cycle: 20 relations
Thu Feb  7 18:34:25 2013  commencing cycle optimization
Thu Feb  7 18:34:27 2013  start with 6791675 relations
Thu Feb  7 18:34:36 2013  pruned 152465 relations
Thu Feb  7 18:34:36 2013  memory use: 230.4 MB
Thu Feb  7 18:34:36 2013  distribution of cycle lengths:
Thu Feb  7 18:34:36 2013  1 relations: 159881
Thu Feb  7 18:34:36 2013  2 relations: 155099
Thu Feb  7 18:34:36 2013  3 relations: 156347
Thu Feb  7 18:34:36 2013  4 relations: 136453
Thu Feb  7 18:34:36 2013  5 relations: 123201
Thu Feb  7 18:34:36 2013  6 relations: 102896
Thu Feb  7 18:34:36 2013  7 relations: 88694
Thu Feb  7 18:34:36 2013  8 relations: 73213
Thu Feb  7 18:34:36 2013  9 relations: 59990
Thu Feb  7 18:34:36 2013  10+ relations: 179181
Thu Feb  7 18:34:36 2013  heaviest cycle: 20 relations
Thu Feb  7 18:34:38 2013  RelProcTime: 435
Thu Feb  7 18:34:38 2013  
Thu Feb  7 18:34:38 2013  commencing linear algebra
Thu Feb  7 18:34:38 2013  read 1234955 cycles
Thu Feb  7 18:34:40 2013  cycles contain 3894448 unique relations
Thu Feb  7 18:35:30 2013  read 3894448 relations
Thu Feb  7 18:35:35 2013  using 20 quadratic characters above 134217080
Thu Feb  7 18:35:55 2013  building initial matrix
Thu Feb  7 18:36:46 2013  memory use: 508.0 MB
Thu Feb  7 18:36:47 2013  read 1234955 cycles
Thu Feb  7 18:36:47 2013  matrix is 1234770 x 1234955 (375.0 MB) with weight 117893326 (95.46/col)
Thu Feb  7 18:36:47 2013  sparse part has weight 83474473 (67.59/col)
Thu Feb  7 18:37:00 2013  filtering completed in 2 passes
Thu Feb  7 18:37:00 2013  matrix is 1232163 x 1232347 (374.7 MB) with weight 117779787 (95.57/col)
Thu Feb  7 18:37:00 2013  sparse part has weight 83435900 (67.70/col)
Thu Feb  7 18:37:03 2013  matrix starts at (0, 0)
Thu Feb  7 18:37:04 2013  matrix is 1232163 x 1232347 (374.7 MB) with weight 117779787 (95.57/col)
Thu Feb  7 18:37:04 2013  sparse part has weight 83435900 (67.70/col)
Thu Feb  7 18:37:04 2013  saving the first 48 matrix rows for later
Thu Feb  7 18:37:04 2013  matrix includes 64 packed rows
Thu Feb  7 18:37:04 2013  matrix is 1232115 x 1232347 (360.9 MB) with weight 94106071 (76.36/col)
Thu Feb  7 18:37:04 2013  sparse part has weight 82287317 (66.77/col)
Thu Feb  7 18:37:04 2013  using block size 262144 for processor cache size 12288 kB
Thu Feb  7 18:37:07 2013  commencing Lanczos iteration (16 threads)
Thu Feb  7 18:37:07 2013  memory use: 528.6 MB
Thu Feb  7 18:37:14 2013  linear algebra at 0.1%, ETA 1h20m
Thu Feb  7 18:37:17 2013  checkpointing every 820000 dimensions
Thu Feb  7 20:09:37 2013  lanczos halted after 19484 iterations (dim = 1232114)
Thu Feb  7 20:09:39 2013  recovered 31 nontrivial dependencies
Thu Feb  7 20:09:39 2013  BLanczosTime: 5701
Thu Feb  7 20:09:39 2013  
Thu Feb  7 20:09:39 2013  commencing square root phase
Thu Feb  7 20:09:39 2013  reading relations for dependency 1
Thu Feb  7 20:09:39 2013  read 615572 cycles
Thu Feb  7 20:09:40 2013  cycles contain 1946052 unique relations
Thu Feb  7 20:10:07 2013  read 1946052 relations
Thu Feb  7 20:10:18 2013  multiplying 1946052 relations
Thu Feb  7 20:12:54 2013  multiply complete, coefficients have about 89.91 million bits
Thu Feb  7 20:12:55 2013  initial square root is modulo 2841161
Thu Feb  7 20:16:15 2013  GCD is 1, no factor found
Thu Feb  7 20:16:15 2013  reading relations for dependency 2
Thu Feb  7 20:16:15 2013  read 616661 cycles
Thu Feb  7 20:16:16 2013  cycles contain 1946912 unique relations
Thu Feb  7 20:16:42 2013  read 1946912 relations
Thu Feb  7 20:16:52 2013  multiplying 1946912 relations
Thu Feb  7 20:19:23 2013  multiply complete, coefficients have about 89.95 million bits
Thu Feb  7 20:19:24 2013  initial square root is modulo 2860087
Thu Feb  7 20:24:26 2013  sqrtTime: 887

prp80 = 17882407535562558139990149163086438240973577338794127536843939554234164777552193
prp56 = 15893273494650025754070917600409935391190397142252119107
NFS elapsed time = 86234.4069 seconds.

35672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883<212>

19006834084857664353003779482112777126813726328991<50>
1876825696516315969908425528846699843519698118026383886113199855752562531149571242959490200318997223309898978837511949291200437074551683618681057316799110216073013<163>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3499655049
Step 1 took 101454ms
Step 2 took 33298ms
********** Factor found in step 2: 19006834084857664353003779482112777126813726328991
Found probable prime factor of 50 digits: 19006834084857664353003779482112777126813726328991

2802993341930769807268700479936317640160020647337628445563462695812871929369633790131776731629877364160209905365882464588705543526186408847573010457470567681504869635191047604054535374430461<190>

132897603485838779956427015250544662309368191721132897603485838779956427015250544662309368191721132897603485838779956427015250544662309368191721132897603485838779956427015250544662309368191721132897603485838779956427<216>

1591446630527572075187303497441250001585131491134519043380358862080114062457802017697237353159<94>
83507420818618715892224993238901456905665138243424047299229857953845588058260203299796559318244943731529731958486852121053<122>

RelProcTime: 1938
BLanczosTime: 15706
sqrtTime: 1252
prp94 factor: 1591446630527572075187303497441250001585131491134519043380358862080114062457802017697237353159
prp122 factor: 83507420818618715892224993238901456905665138243424047299229857953845588058260203299796559318244943731529731958486852121053

123000280288352620182385355879027463793003678581160981307145067815074662151708284674913545330977403887112883314911883943546463581349998914274959141220029623880673284733424802654442552062755557945363<198>

582069498121499647353897159001009608234233735126792657373327930749<66>
211315454057133684462563878482408620225448429775557213677694540412832342363785451500947202312555159361460516524396866665508695879887<132>

Number: 67777_218
N = 123000280288352620182385355879027463793003678581160981307145067815074662151708284674913545330977403887112883314911883943546463581349998914274959141220029623880673284733424802654442552062755557945363 (198 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=582069498121499647353897159001009608234233735126792657373327930749 (pp66)
r2=211315454057133684462563878482408620225448429775557213677694540412832342363785451500947202312555159361460516524396866665508695879887 (pp132)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 68.98 hours.
Factorization parameters were as follows:
n: 123000280288352620182385355879027463793003678581160981307145067815074662151708284674913545330977403887112883314911883943546463581349998914274959141220029623880673284733424802654442552062755557945363
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 61
c0: -700
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33259840
Relations: 8758194 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 35.64 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 7480204 x 7480429
Matrix solve time: 32.32 hours.
time per square root: 0.67 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 68.98 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

695132957306805942119252303944217283305177610159009604977912413105534662781082106137972544328361838778215271079133825064183240022775066639197003741017231381710056363356161063540767724679<186>

10558662732254446007178258671022196037258152459616623<53>
65835321662782552394804627047932545630939626732538787950132724869931322630421652497773920154566225734994938848522313102432870265594473<134>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1781904086
Step 1 took 209652ms
Step 2 took 55995ms
********** Factor found in step 2: 10558662732254446007178258671022196037258152459616623
Found probable prime factor of 53 digits: 10558662732254446007178258671022196037258152459616623
Probable prime cofactor 65835321662782552394804627047932545630939626732538787950132724869931322630421652497773920154566225734994938848522313102432870265594473 has 134 digits

7512959718464417895931448737634393380997446255365779401298863017470549440566060224544987400603176052113105730518613433835873463677824629329866868104704262664413025915185751369917290327857113975328694850305215929<211>

36959372136441504314613093468242100341281110359900330509400455946773<68>
203276172839979831971368549449987203291247324649083346473251891353586341852886750758525802529593072019081491934098306126233261001793885642455573<144>

Number: 67777_220
N = 7512959718464417895931448737634393380997446255365779401298863017470549440566060224544987400603176052113105730518613433835873463677824629329866868104704262664413025915185751369917290327857113975328694850305215929 (211 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=36959372136441504314613093468242100341281110359900330509400455946773 (pp68)
r2=203276172839979831971368549449987203291247324649083346473251891353586341852886750758525802529593072019081491934098306126233261001793885642455573 (pp144)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 86.45 hours.
Factorization parameters were as follows:
n: 7512959718464417895931448737634393380997446255365779401298863017470549440566060224544987400603176052113105730518613433835873463677824629329866868104704262664413025915185751369917290327857113975328694850305215929
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 61
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 25015880
Relations: 8131030 relations
Total pre-computation time approximately 800 CPU-days.
Pre-computation saved approximately 16 G rational relations.
Total batch smoothness checking time: 52.17 hours.
Total relation processing time: 0.23 hours.
Pruned matrix : 6918526 x 6918751
Matrix solve time: 33.84 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 86.45 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

890439487699406860406451027764928205803313641079821035696055663831280921718932186454031055141717988563357167888404464489116020074556833688905124434627717096333511253545238737<174>

2428760763936533740967082259570373<34>

366622971237473041155578566528242695825703106542382564787224146306661501256929829359602410436649193746102775546665827520832636610694080871069<141>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2821166417
Step 1 took 10951ms
Step 2 took 6365ms
********** Factor found in step 2: 2428760763936533740967082259570373
Found probable prime factor of 34 digits: 2428760763936533740967082259570373
Composite cofactor 366622971237473041155578566528242695825703106542382564787224146306661501256929829359602410436649193746102775546665827520832636610694080871069 has 141 digits

GMP-ECM 6.3

366622971237473041155578566528242695825703106542382564787224146306661501256929829359602410436649193746102775546665827520832636610694080871069<141>

2669191726815209809853687633194939763733532877<46>
137353554469058426915762633038673165356698391270943995256946430678955836269442221082671397966097<96>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3023512724
Step 1 took 16256ms
Step 2 took 9172ms
********** Factor found in step 2: 2669191726815209809853687633194939763733532877
Found probable prime factor of 46 digits: 2669191726815209809853687633194939763733532877
Probable prime cofactor 137353554469058426915762633038673165356698391270943995256946430678955836269442221082671397966097 has 96 digits

GMP-ECM 6.3

116618967597133085183464577466538959338216035681580512014621342035784816975133394892853933787191413785126684522751213506388234102062626297386014518105572666043424315245922637653396957583196162662430148106088848359018183<219>

513832977664643483321353729014588035008614921793005890493527715537301141524704024996551238562391<96>
226958900394371401068260760714387745214853698482282136397932162878608538634980945471817013411159908249592112201684163748113<123>

Number: n
N=116618967597133085183464577466538959338216035681580512014621342035784816975133394892853933787191413785126684522751213506388234102062626297386014518105572666043424315245922637653396957583196162662430148106088848359018183
  ( 219 digits)
SNFS difficulty: 223 digits.
Divisors found:

Sat Jun  8 07:59:57 2019  p96 factor: 513832977664643483321353729014588035008614921793005890493527715537301141524704024996551238562391
Sat Jun  8 07:59:57 2019  p123 factor: 226958900394371401068260760714387745214853698482282136397932162878608538634980945471817013411159908249592112201684163748113
Sat Jun  8 07:59:57 2019  elapsed time 10:07:03 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.125).
Factorization parameters were as follows:
#
# N = 61x10^222-7 = 67(222)
#
n: 116618967597133085183464577466538959338216035681580512014621342035784816975133394892853933787191413785126684522751213506388234102062626297386014518105572666043424315245922637653396957583196162662430148106088848359018183
m: 10000000000000000000000000000000000000
deg: 6
c6: 61
c0: -7
skew: 0.70
# Murphy_E = 1.982e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 95000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13655930 hash collisions in 69388271 relations (57639145 unique)
Msieve: matrix is 4624282 x 4624507 (1610.2 MB)

Sieving start time: 2019/06/05 22:58:24
Sieving end time  : 2019/06/07 21:50:20

Total sieving time: 46hrs 51min 56secs.

Total relation processing time: 9hrs 27min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 17min 12sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000
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: 16284148K/16703460K available (12300K kernel code, 2474K rwdata, 4276K rodata, 2412K init, 2416K bss, 419312K reserved, 0K cma-reserved)
[    0.072560] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.67 BogoMIPS (lpj=11977356)
[    0.070215] smpboot: Total of 16 processors activated (95818.84 BogoMIPS)

580691899157615964648238742430776289873780428017527375815229549411644871681369595162550893837145432858213125350438041602290781944480142716933642147189213219593877413084226028134046537219970851170570153769118804802797983<219>

24457448640305883461231339572556596300083727463752134773646990077<65>
106025392320622656640202047381620450290538774744684812911381327086100605211<75>
223936419068598678716396870427607806131188191597174642356239939920490308657891089<81>

Number: n
N=580691899157615964648238742430776289873780428017527375815229549411644871681369595162550893837145432858213125350438041602290781944480142716933642147189213219593877413084226028134046537219970851170570153769118804802797983
  ( 219 digits)
SNFS difficulty: 224 digits.
Divisors found:

Sun Jun 16 15:39:20 2019  found factor: 223936419068598678716396870427607806131188191597174642356239939920490308657891089
Sun Jun 16 15:50:08 2019  found factor: 223936419068598678716396870427607806131188191597174642356239939920490308657891089
Sun Jun 16 16:00:55 2019  p65 factor: 24457448640305883461231339572556596300083727463752134773646990077
Sun Jun 16 16:00:55 2019  p75 factor: 106025392320622656640202047381620450290538774744684812911381327086100605211
Sun Jun 16 16:00:55 2019  p81 factor: 223936419068598678716396870427607806131188191597174642356239939920490308657891089
Sun Jun 16 16:00:55 2019  elapsed time 12:01:06 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 61x10^223-7 = 67(223)
#
n: 580691899157615964648238742430776289873780428017527375815229549411644871681369595162550893837145432858213125350438041602290781944480142716933642147189213219593877413084226028134046537219970851170570153769118804802797983
m: 10000000000000000000000000000000000000
deg: 6
c6: 610
c0: -7
skew: 0.47
# Murphy_E = 1.59e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 109900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 15270089 hash collisions in 72700981 relations (58997491 unique)
Msieve: matrix is 5006851 x 5007076 (1748.1 MB)

Sieving start time: 2019/06/13 19:18:49
Sieving end time  : 2019/06/16 03:57:26

Total sieving time: 56hrs 38min 37secs.

Total relation processing time: 11hrs 6min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 32min 23sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284004K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419456K reserved, 0K cma-reserved)
[    0.076563] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.40 BogoMIPS (lpj=11976816)
[    0.074214] smpboot: Total of 16 processors activated (95814.52 BogoMIPS)

24293388077726687189641264277458146484821019200104036235316732753244661749995556500369225647339042255636463290665501794725817036323023828759109388303679091448313612538357616984143215751383601044677814695364358387387217<218>

579553220901220430554417896761<30>

41917441231626377220603539040163563714659388846404250528562701162009850055170575076536378264558679319183303159385569208975357742228226127376943840167196842662263038397265315259160406177497<188>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=752191887
Step 1 took 14212ms
Step 2 took 7753ms
********** Factor found in step 2: 579553220901220430554417896761
Found probable prime factor of 30 digits: 579553220901220430554417896761
Composite cofactor 41917441231626377220603539040163563714659388846404250528562701162009850055170575076536378264558679319183303159385569208975357742228226127376943840167196842662263038397265315259160406177497 has 188 digits

GMP-ECM 6.3

166045489130799745386391378271443538426760202431663237187632673918515582507623822115151735539164361485722664361889948158393427033238378995448146009427806999470116179497231625636867133304032565233304569082707200972850177<219>

158517256556070180488804467457<30>

1047491564882506683320809259327229924615458048665930830160638980120025085353458306505976482650019437491730021890210710691687873459783960275472276374495063693079759279786692893536228153032961<190>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=677182009
Step 1 took 14087ms
Step 2 took 7753ms
********** Factor found in step 2: 158517256556070180488804467457
Found probable prime factor of 30 digits: 158517256556070180488804467457
Composite cofactor 1047491564882506683320809259327229924615458048665930830160638980120025085353458306505976482650019437491730021890210710691687873459783960275472276374495063693079759279786692893536228153032961 has 190 digits

GMP-ECM 6.3

1047491564882506683320809259327229924615458048665930830160638980120025085353458306505976482650019437491730021890210710691687873459783960275472276374495063693079759279786692893536228153032961<190>

404423342064878308850559442737221<33>
2590086812334551726147417123257946668419748494791309979953691627344308247520998881540525968592388311523281319105868754014395152374872446046206454830376748941<157>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2806690781
Step 1 took 10577ms
Step 2 took 6505ms
********** Factor found in step 2: 404423342064878308850559442737221
Found probable prime factor of 33 digits: 404423342064878308850559442737221
Probable prime cofactor 2590086812334551726147417123257946668419748494791309979953691627344308247520998881540525968592388311523281319105868754014395152374872446046206454830376748941 has 157 digits

GMP-ECM 6.3

18618663383962445307481755309312005084551341842550476567116694357359893010880993602081556674095221958755906717802050403634316078164461549552938888168950336548131581943557535376367097481175395607<194>

118276477589011524011047291618281958073627642028724217415459876944951592345585544093571760474894438726138620498820291016225625998459329505652239766288987214207543639433836994310891677457263<189>

516334615781556312171646181322466471571876610795042346937499362923905777158098487225570882006862563960330464446613150904017474718407256110520082752299451264556057149333991635959074018587953<189>

800528917203264560679021732180955871971328317703491826701077236800158314589742585684896385919998946903958763174117826579238156444022570589188786907228090376800286718868243811934773984017<186>

43051102956993467125311325711<29>

18594852680150023189136095041861336855463102074405475603111480440299120578651709672198908454112158332848889547500987576192054766646897014332684083566656359647<158>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1309364652
Step 1 took 10343ms
Step 2 took 6598ms
********** Factor found in step 2: 43051102956993467125311325711
Found probable prime factor of 29 digits: 43051102956993467125311325711
Composite cofactor 18594852680150023189136095041861336855463102074405475603111480440299120578651709672198908454112158332848889547500987576192054766646897014332684083566656359647 has 158 digits

GMP-ECM 6.3

2259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<232>

313293696841413549870130532173217233<36>
7211314118467170969221180570728820446468153315507416517915599407808072698857342392350391384495645635240756946252204951171110110715237906803203848246776090463775614052608868616417041034010935421323<196>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1387657092
Step 1 took 16505ms
Step 2 took 8690ms
********** Factor found in step 2: 313293696841413549870130532173217233
Found probable prime factor of 36 digits: 313293696841413549870130532173217233
Probable prime cofactor 7211314118467170969221180570728820446468153315507416517915599407808072698857342392350391384495645635240756946252204951171110110715237906803203848246776090463775614052608868616417041034010935421323 has 196 digits

GMP-ECM 6.3

70465044270507513762282334340527438126477467722258161312519399304660716841290812657176479771341551156031709693297286161170805215269151947586861158083747005410926158928267958558872469<182>

8977423604700246452103390342700299563424461021951777071223045519812548345753250831307843708296091503309025874274230913755798617062655457491463532357747556181898332443432973138332501765622645856922810798052352540691699018243863<226>

2790235071772682250718322956566382351739976784098508634436760925799028661552063378877625800450701958404229648184878348741978111272863021130568016761688373629075634450350316276447970588193587983<193>

4415261511181539530811974916683023<34>
631952391654827602360289761971768900703190305308422207134671496998090748797155363510987839336808834237552955885075043951354909449084512211217772430986217771521<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=707276625
Step 1 took 23376ms
Step 2 took 9527ms
********** Factor found in step 2: 4415261511181539530811974916683023
Found probable prime factor of 34 digits: 4415261511181539530811974916683023

1040746661865859546234349879535538575673416986983631665210958887191655241049910953762544206320531068355726248411882302315456336523724928734047529840415690105178514370831109323883312654115181192340335635305519<208>

7484899328635365002338075403827181170022667426726086006101501603568648525020635398644002114815858912744860094272444084949548707401165119926031858084339530262332691944935908784049578338987311452279780539217310799<211>

6727837732886604210521681769853286093686388739822780555691239925488104041563715243856346040057333283185822415437556140411921185654780089655741359228447296452841436925520190382759389825100151343495023256198380294407230621699<223>

195358130405116928267334279568505387359<39>
34438483409597499717262802506239378702801434527193511634804045509421202189554781217024279218135135622993761934439235438088082738654260901405878967677664194840224605862497532580523319261<185>

********** Factor found in step 2: 195358130405116928267334279568505387359

6964026303873185055031729984683484049666733461433639294127505696090338694892256920116294670259824802970037963578202503477471725786300567160250375387592155210905955717691<169>

13162287788751681916652197031306492164945357360981231829<56>
529089351003596074660533768020066862747373729884062706788021066165673070675581006103052228144826133311917520860879<114>

Number: 67777_240
N = 6964026303873185055031729984683484049666733461433639294127505696090338694892256920116294670259824802970037963578202503477471725786300567160250375387592155210905955717691 (169 digits)
SNFS difficulty: 242 digits.
Divisors found:
r1=13162287788751681916652197031306492164945357360981231829 (pp56)
r2=529089351003596074660533768020066862747373729884062706788021066165673070675581006103052228144826133311917520860879 (pp114)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 78.47 hours.
Factorization parameters were as follows:
n: 6964026303873185055031729984683484049666733461433639294127505696090338694892256920116294670259824802970037963578202503477471725786300567160250375387592155210905955717691 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 61
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 61758533
Relations: 14171452 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 16.99 hours.
Total relation processing time: 0.61 hours.
Pruned matrix : 11271464 x 11271689
Matrix solve time: 60.20 hours.
time per square root: 0.68 hours.
Prototype def-par.txt line would be: snfs,242,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 78.47 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

47703499388446481046598195021825722911444677034930029888966581465149055095715306456186932599649249657573827853085031822718090722870529878896973244076911734553503804229739033909965979934017090074465028092458070606307106231<221>

12838548370890610895974205676509<32>
3715645882256179585377778266034638097064027052328274111523329529168459202214126973284311250292130038281525584737721706453856383574051182902804388604281878954442750242823017358698579723165859<190>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3088391015
Step 1 took 34476ms
Step 2 took 15335ms
********** Factor found in step 2: 12838548370890610895974205676509
Found probable prime factor of 32 digits: 12838548370890610895974205676509
Probable prime cofactor 3715645882256179585377778266034638097064027052328274111523329529168459202214126973284311250292130038281525584737721706453856383574051182902804388604281878954442750242823017358698579723165859 has 190 digits

GMP-ECM 6.3

67777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<245>

1037311298603188020979258214758407546489349763375897602623381940759<67>
65339862651689305454618463735828748794281918302413628442381900669551362026085544760940891947683511100597801459426917446364043389496524587925925456437895609166431918794882467064503<179>

1037311298603188020979258214758407546489349763375897602623381940759

ggnfs-lasieve4I14e on the NFS@Home grid + msieve

22070034953139286694926067273091086100953899171410454661325540488763083048375555589879870610101373072669872635017190246734347101534351716199979921849953255908413463128490277839454306771<185>

24142139736841969867205962491109459155516659006484460001480981752381354938411224781011993379671202262332210644681013667498541478353029559517161954536551456813887413645841854816058069049131747733003607112717631990124044292831806897076873678391<242>

61041533364955663822431387749214771697309515256279<50>

395503494194694120792972728334038030014300075564033853923650792173011554583905818796740121471931600150121484359830431661533162494584602212155037237637909177228753474171058140190737634183469729<192>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=318632179
Step 1 took 653462ms
Step 2 took 113428ms
********** Factor found in step 2: 61041533364955663822431387749214771697309515256279
Found probable prime factor of 50 digits: 61041533364955663822431387749214771697309515256279

11821140341475376117025610362937964200879424578740976408995612063222161594495716614007605677849339794676563023741488632093143976812329415392395384092833904384770279559871513406091942183<185>

729979915024398430054746049436739927737242033365269843231207727408245397425544615435828863298308201098277334713691988183322792479392662505505802324383815959267585542605835918826425933726845042136351343671286216250539<216>

1120638206688909681222154931098600858896549137417184209808251374995406163962732393392422658102368952547820983745522655913217578638433815226738085838568092510886387885634007420806032256823515046947623090597819<208>

33337077030895571095159871541362722883<38>
33615370827212703799431538014819390184200886679833281473781755639105641658411180234312578403870382251530026710182719103564234553237383845737150162272953779439828280925993<170>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2693281966
Step 1 took 9797ms
Step 2 took 5990ms
********** Factor found in step 2: 33337077030895571095159871541362722883
Found probable prime factor of 38 digits: 33337077030895571095159871541362722883
Probable prime cofactor 33615370827212703799431538014819390184200886679833281473781755639105641658411180234312578403870382251530026710182719103564234553237383845737150162272953779439828280925993 has 170 digits

GMP-ECM 6.3

326162202816105846799688445586332969582273373010697959844727542542646109037307662550018444205223182903582549594968033698009410688527875452663678486196735373002035947245348993824359301138129639423407249708873499379837326333999399326854682601133943<246>

121079730361315829642589924570960376811077607555754690028814058002982820991500752749706285881792006924776059515475084220033446072258203644486783445764100365306875594068516792338395424775711163136093876949802227475216701107597476581706349764251711<246>

4609819704784360000999109298912183057646430786047<49>

26265610829779674850793627217172065290498012261547479504861351640848202543360195829876827539190754713192093048366366047774895952970881807268164786910398625084101980177361174791786470593207395877313<197>

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2701255864
Step 1 took 964378ms
Step 2 took 229507ms
********** Factor found in step 2: 4609819704784360000999109298912183057646430786047
Found probable prime factor of 49 digits: 4609819704784360000999109298912183057646430786047

545571484774034400752539738003274629683146638447041927645864991823064407756959201917071661956014070545359107507755356746827466437631677390949769730057686872495649650982807988102625437776497858494699<198>

13211129896914045932685982986212865899<38>
41296353077375542987954612273318354933582987117167997765049432497667057938769865517117343513339248082681394919861376603486192339563944211489226186375236648451201<161>

GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 545571484774034400752539738003274629683146638447041927645864991823064407756959201917071661956014070545359107507755356746827466437631677390949769730057686872495649650982807988102625437776497858494699 (198 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4164796733
Step 1 took 5896ms
Step 2 took 3089ms
********** Factor found in step 2: 13211129896914045932685982986212865899
Found probable prime factor of 38 digits: 13211129896914045932685982986212865899
Probable prime cofactor 41296353077375542987954612273318354933582987117167997765049432497667057938769865517117343513339248082681394919861376603486192339563944211489226186375236648451201 has 161 digits

677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<255>

267203037181038535948566665923060186423188243757667<51>

2536564647349280793102556237998307943546727455082081056886448348513002046687222775592322535191836216010399686185416601432833348910659063362429155244286532628098634585088960498848458820281413391489471970331<205>

GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/core2/params.h
Running on debian-gio
Input number is 677777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (255 digits)
[Sun Jan 29 01:53:19 2023]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=0:380953895676184627
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+07 7.9e+07
Writing checkpoint to checkpnt at p = 73050179
Writing checkpoint to checkpnt at p = 145775723
Writing checkpoint to checkpnt at p = 218390903
Writing checkpoint to checkpnt at p = 260000000
Step 1 took 2144068ms
Using 30 small primes for NTT
Estimated memory usage: 1.38GB
Initializing tables of differences for F took 804ms
Computing roots of F took 52558ms
Building F from its roots took 31360ms
Computing 1/F took 13014ms
Initializing table of differences for G took 1106ms
Computing roots of G took 42071ms
Building G from its roots took 31248ms
Computing roots of G took 41966ms
Building G from its roots took 31225ms
Computing G * H took 6995ms
Reducing  G * H mod F took 7051ms
Computing roots of G took 41780ms
Building G from its roots took 31349ms
Computing G * H took 6991ms
Reducing  G * H mod F took 7015ms
Computing roots of G took 41887ms
Building G from its roots took 31283ms
Computing G * H took 6973ms
Reducing  G * H mod F took 7032ms
Computing polyeval(F,G) took 58784ms
Computing product of all F(g_i) took 262ms
Step 2 took 494472ms
********** Factor found in step 2: 267203037181038535948566665923060186423188243757667
Found prime factor of 51 digits: 267203037181038535948566665923060186423188243757667
Composite cofactor 2536564647349280793102556237998307943546727455082081056886448348513002046687222775592322535191836216010399686185416601432833348910659063362429155244286532628098634585088960498848458820281413391489471970331 has 205 digits
Peak memory usage: 1693MB

GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert]

70332317128016872345552127100916724352327465785152525880288275055469384850357793687876606229099179386946603368969982392663867486195035289238432421775150360245227942074528919655761705923599371483473715403535433<209>

61233303171414310522090902886360234538809281077555160590711853511709358475446544616246020475232067443203325695131248716798412126089248864420864001305453870628866927012602907961537013328372030421949758114900840244389942789323317090747946026718017517001<251>

106631107101027701268897991405795611820815521<45>

574253656706375407316993422908084156975266161125494160808790277702685964267769915269593755086243252761320444501962508956217511986228815624904192768456927915118634815412299532707818958163637841680088894883881<207>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4286560587
Step 1 took 618743ms
Step 2 took 130775ms
********** Factor found in step 2: 106631107101027701268897991405795611820815521
Found probable prime factor of 45 digits: 106631107101027701268897991405795611820815521

170724881052336971732437727399944024629163168205989364679541001959137979289112790372236216064931430170724881052336971732437727399944024629163168205989364679541001959137979289112790372236216064931430170724881052336971732437727399944024629163168205989364679541<258>

3147535925996799724535392742230617421398504608273283884210257358797456088102798942627953450758905237108375676197530194878246303933095110702348361555586639754156859588662642590933206139079288991<193>

158462787861691820464279076661707<33>

19862934184548147618342335480684653954662484960997378918231143944121230327383236068795892823311468360782834998007127297990394081686394866859883610401716709372413<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3642058470
Step 1 took 27999ms
Step 2 took 9100ms
********** Factor found in step 2: 158462787861691820464279076661707
Found probable prime factor of 33 digits: 158462787861691820464279076661707

19862934184548147618342335480684653954662484960997378918231143944121230327383236068795892823311468360782834998007127297990394081686394866859883610401716709372413<161>

5677262174919230993499147650838756541<37>
3498681859769974895728416975932807248058537146946274266002545507562131341675801542097942830073557748207109585522861550960193<124>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2206506069
Step 1 took 58952ms
Step 2 took 19675ms
********** Factor found in step 2: 5677262174919230993499147650838756541
Found probable prime factor of 37 digits: 5677262174919230993499147650838756541

848322899711014819048296486467995291523474933363223164513517903775134203390155414050917657513743822399887745558791221587085814463507319955125886839055242818111882095970266928967864679818629001358909137905577035000130180832341506949<231>

67777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<263>

7002045901471615427452799677546056193420046535278824205829644859269548180540225631098841684075903086403751787268983057504494034930420678285739354991235187765579656925760570709655957159088358956142513866581157463131006811819250960142643<235>

439084045866155725883738355250786433<36>
15946937647572878840761790529045451118997514843297117120088260988842958473691661559582813003470128082601930315435982863222318966911273424304035384091035083233250159750442260544515136329417271034472371<200>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2129869129
Step 1 took 37873ms
Step 2 took 14477ms
********** Factor found in step 2: 439084045866155725883738355250786433
Found probable prime factor of 36 digits: 439084045866155725883738355250786433

3291907643750186518947437894789444460364325672416657937714840820885200441288314499574183651426051692987626906412522762057299807898300992499361450865661080623189417067375473744635067483297211392655559770276653537351738011209647081057397431847932862784816793737<259>

53228969631107763734607249904429127077<38>

61844286420797990961558544826629456866528962618558269515647648101945759579274007361957278268510278613923687376772071344041875342428852316656488327919059508766818217348204017924980006826980242783993464553310103383509506581<221>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=367757805
Step 1 took 137451ms
Step 2 took 35355ms
********** Factor found in step 2: 53228969631107763734607249904429127077
Found probable prime factor of 38 digits: 53228969631107763734607249904429127077

1130807618818572687042434465095610509497040041955710628763145415939306385347880053608074823591696420413799437766730297831330647655339274262443646432345421618582500379187554504017357071571337367062419174525014787724894468653807206716676600680677661807<250>

115161798813701654593641895750018907106001907<45>

9819294509700139429545615114289756340163470799594886001425283879650519904182077847656089799539442055778290142546405292283493146831074259270454389363891508514087484569191855404306989362127566087456973975701<205>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=622835817
Step 1 took 109591ms
Step 2 took 35636ms
********** Factor found in step 2: 115161798813701654593641895750018907106001907
Found probable prime factor of 45 digits: 115161798813701654593641895750018907106001907

96323847825590470531711766296794741550237490514058899901471771966854567643797063226620014651686864224854646524060048985737296370959571551326923471241208733266109975764784612809982099775014424820169066222293862794893283<218>

2823181875557885643526938885079398756139007737<46>

34118895654413348227209377680280770032814393983909276701156487488108224746842868012879127196687222101014954216052818112471122531319635090277887297596664367678892796138166459<173>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=699705640
Step 1 took 326016ms
Step 2 took 73897ms
********** Factor found in step 2: 2823181875557885643526938885079398756139007737
Found probable prime factor of 46 digits: 2823181875557885643526938885079398756139007737

34118895654413348227209377680280770032814393983909276701156487488108224746842868012879127196687222101014954216052818112471122531319635090277887297596664367678892796138166459<173>