1303998294942685466447248806768902972446460444933734162001625398992691667717090268173731856487<94>

919296806573087122167025368337737943218105509<45>
1418473648139463334070630967104623852741892124443<49>

Number: 26663_102
N=1303998294942685466447248806768902972446460444933734162001625398992691667717090268173731856487
  ( 94 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=919296806573087122167025368337737943218105509 (pp45)
 r2=1418473648139463334070630967104623852741892124443 (pp49)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 0.29 hours.
Scaled time: 0.99 units (timescale=3.423).
Factorization parameters were as follows:
n: 1303998294942685466447248806768902972446460444933734162001625398992691667717090268173731856487
Y1: 1
Y0: -200000000000000000000
c5: 25
c0: -11
skew: 0.85
type: snfs
Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Sieved special-q in [175000, 235001)
Relations: rels:882623, finalFF:80529
Initial matrix: 55859 x 80529 with sparse part having weight 2078125.
Pruned matrix : 44104 x 44447 with weight 826916.
Total sieving time: 0.27 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 0.29 hours.

GGNFS-0.77.1

Q6600/Windows XP

625384912382905433497831556663133629465431712905651150435013281886485743164365451<81>

32310722809845102049503136009<29>
19355336495052044162304280966510001150870536267517939<53>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 625384912382905433497831556663133629465431712905651150435013281886485743164365451 (81 digits)
Using B1=716000, B2=696728352, polynomial Dickson(3), sigma=3553693662
Step 1 took 3813ms
Step 2 took 2156ms
********** Factor found in step 2: 32310722809845102049503136009
Found probable prime factor of 29 digits: 32310722809845102049503136009
Probable prime cofactor 19355336495052044162304280966510001150870536267517939 has 53 digits

11033944467365903002128818726215243331323909804489387465948599250155133200443654428583548751967923<98>

9478218721635962950063775331955797995694998263<46>
1164136932415231088051595778237945031400502778838821<52>

Msieve v. 1.36
Mon Aug 25 10:36:30 2008
random seeds: 38e93f28 18cf46c6
factoring 1103394446736590300212881872621524333132390980448938746594859925015513
3200443654428583548751967923 (98 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (98-digit input)
using multiplier of 3
using 32kb Intel Core sieve core
sieve interval: 36 blocks of size 32768
processing polynomials in batches of 6
using a sieve bound of 2439067 (89109 primes)
using large prime bound of 365860050 (28 bits)
using double large prime bound of 2593981779484650 (43-52 bits)
using trial factoring cutoff of 52 bits
polynomial 'A' values have 13 factors

sieving in progress (press Ctrl-C to pause)
89224 relations (20824 full + 68400 combined from 1362659 partial), need 89205
89224 relations (20824 full + 68400 combined from 1362659 partial), need 89205
sieving complete, commencing postprocessing
begin with 1383483 relations
reduce to 237176 relations in 10 passes
attempting to read 237176 relations
recovered 237176 relations
recovered 226560 polynomials
attempting to build 89224 cycles
found 89224 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 20824
   length 2 : 15190
   length 3 : 14918
   length 4 : 12146
   length 5 : 9457
   length 6 : 6438
   length 7 : 4306
   length 9+: 5945
largest cycle: 21 relations
matrix is 89109 x 89224 (24.4 MB) with weight 6042868 (67.73/col)
sparse part has weight 6042868 (67.73/col)
filtering completed in 3 passes
matrix is 85635 x 85699 (23.6 MB) with weight 5842727 (68.18/col)
sparse part has weight 5842727 (68.18/col)
saving the first 48 matrix rows for later
matrix is 85587 x 85699 (14.7 MB) with weight 4635880 (54.09/col)
sparse part has weight 3342133 (39.00/col)
matrix includes 64 packed rows
using block size 34279 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 14.2 MB
linear algebra completed 80326 out of 85699 dimensions (93.7%)
lanczos halted after 1355 iterations (dim = 85586)
recovered 17 nontrivial dependencies
prp46 factor: 9478218721635962950063775331955797995694998263
prp52 factor: 1164136932415231088051595778237945031400502778838821
elapsed time 06:57:03

631507246534207911192348413807687128209531875179469919179694694711489848004360096537028735655007995383<102>

16332279646114817898481597976376858514229176394471<50>
38666203384806306112733511010467776636962683473769073<53>

Mon Aug 25 15:02:36 2008  Msieve v. 1.36
Mon Aug 25 15:02:36 2008  random seeds: fad24d48 84aab7b6
Mon Aug 25 15:02:36 2008  factoring 631507246534207911192348413807687128209531875179469919179694694711489848004360096537028735655007995383 (102 digits)
Mon Aug 25 15:02:37 2008  no P-1/P+1/ECM available, skipping
Mon Aug 25 15:02:38 2008  commencing quadratic sieve (102-digit input)
Mon Aug 25 15:02:38 2008  using multiplier of 3
Mon Aug 25 15:02:38 2008  using 32kb Intel Core sieve core
Mon Aug 25 15:02:38 2008  sieve interval: 36 blocks of size 32768
Mon Aug 25 15:02:38 2008  processing polynomials in batches of 6
Mon Aug 25 15:02:38 2008  using a sieve bound of 3264419 (117500 primes)
Mon Aug 25 15:02:38 2008  using large prime bound of 489662850 (28 bits)
Mon Aug 25 15:02:38 2008  using double large prime bound of 4383437839720350 (44-52 bits)
Mon Aug 25 15:02:38 2008  using trial factoring cutoff of 52 bits
Mon Aug 25 15:02:38 2008  polynomial 'A' values have 13 factors
Tue Aug 26 11:57:29 2008  117764 relations (27401 full + 90363 combined from 1765490 partial), need 117596
Tue Aug 26 11:57:34 2008  begin with 1792891 relations
Tue Aug 26 11:57:36 2008  reduce to 313570 relations in 12 passes
Tue Aug 26 11:57:36 2008  attempting to read 313570 relations
Tue Aug 26 11:57:44 2008  recovered 313570 relations
Tue Aug 26 11:57:44 2008  recovered 305981 polynomials
Tue Aug 26 11:57:44 2008  attempting to build 117764 cycles
Tue Aug 26 11:57:44 2008  found 117764 cycles in 6 passes
Tue Aug 26 11:57:44 2008  distribution of cycle lengths:
Tue Aug 26 11:57:44 2008     length 1 : 27401
Tue Aug 26 11:57:44 2008     length 2 : 19789
Tue Aug 26 11:57:44 2008     length 3 : 19479
Tue Aug 26 11:57:44 2008     length 4 : 16071
Tue Aug 26 11:57:44 2008     length 5 : 12409
Tue Aug 26 11:57:44 2008     length 6 : 8719
Tue Aug 26 11:57:44 2008     length 7 : 5710
Tue Aug 26 11:57:44 2008     length 9+: 8186
Tue Aug 26 11:57:44 2008  largest cycle: 24 relations
Tue Aug 26 11:57:45 2008  matrix is 117500 x 117764 (34.8 MB) with weight 8659607 (73.53/col)
Tue Aug 26 11:57:45 2008  sparse part has weight 8659607 (73.53/col)
Tue Aug 26 11:57:46 2008  filtering completed in 3 passes
Tue Aug 26 11:57:46 2008  matrix is 113226 x 113290 (33.6 MB) with weight 8365111 (73.84/col)
Tue Aug 26 11:57:46 2008  sparse part has weight 8365111 (73.84/col)
Tue Aug 26 11:57:47 2008  saving the first 48 matrix rows for later
Tue Aug 26 11:57:47 2008  matrix is 113178 x 113290 (23.7 MB) with weight 6978451 (61.60/col)
Tue Aug 26 11:57:47 2008  sparse part has weight 5540716 (48.91/col)
Tue Aug 26 11:57:47 2008  matrix includes 64 packed rows
Tue Aug 26 11:57:47 2008  using block size 45316 for processor cache size 2048 kB
Tue Aug 26 11:57:48 2008  commencing Lanczos iteration
Tue Aug 26 11:57:48 2008  memory use: 21.2 MB
Tue Aug 26 11:59:27 2008  lanczos halted after 1792 iterations (dim = 113178)
Tue Aug 26 11:59:27 2008  recovered 18 nontrivial dependencies
Tue Aug 26 11:59:29 2008  prp50 factor: 16332279646114817898481597976376858514229176394471
Tue Aug 26 11:59:29 2008  prp53 factor: 38666203384806306112733511010467776636962683473769073
Tue Aug 26 11:59:29 2008  elapsed time 20:56:53

3697161395642594715145547845696911974342125553234116133620464452526327268032786889871<85>

6149421791025899547499894967<28>
601220980001406340971556885053700885153827701171358855913<57>

Sun Aug 24 12:53:43 2008  Msieve v. 1.36
Sun Aug 24 12:53:43 2008  random seeds: 7f72a470 3623d00f
Sun Aug 24 12:53:43 2008  factoring 3697161395642594715145547845696911974342125553234116133620464452526327268032786889871 (85 digits)
Sun Aug 24 12:53:43 2008  searching for 15-digit factors
Sun Aug 24 12:53:44 2008  commencing quadratic sieve (85-digit input)
Sun Aug 24 12:53:44 2008  using multiplier of 47
Sun Aug 24 12:53:44 2008  using 32kb Intel Core sieve core
Sun Aug 24 12:53:44 2008  sieve interval: 12 blocks of size 32768
Sun Aug 24 12:53:44 2008  processing polynomials in batches of 17
Sun Aug 24 12:53:44 2008  using a sieve bound of 1422583 (54412 primes)
Sun Aug 24 12:53:44 2008  using large prime bound of 116651806 (26 bits)
Sun Aug 24 12:53:44 2008  using double large prime bound of 331439743440844 (41-49 bits)
Sun Aug 24 12:53:44 2008  using trial factoring cutoff of 49 bits
Sun Aug 24 12:53:44 2008  polynomial 'A' values have 11 factors
Sun Aug 24 13:17:41 2008  54639 relations (16031 full + 38608 combined from 572576 partial), need 54508
Sun Aug 24 13:17:42 2008  begin with 588606 relations
Sun Aug 24 13:17:43 2008  reduce to 127985 relations in 11 passes
Sun Aug 24 13:17:43 2008  attempting to read 127985 relations
Sun Aug 24 13:17:44 2008  recovered 127985 relations
Sun Aug 24 13:17:44 2008  recovered 109198 polynomials
Sun Aug 24 13:17:44 2008  attempting to build 54639 cycles
Sun Aug 24 13:17:44 2008  found 54639 cycles in 6 passes
Sun Aug 24 13:17:44 2008  distribution of cycle lengths:
Sun Aug 24 13:17:44 2008     length 1 : 16031
Sun Aug 24 13:17:44 2008     length 2 : 11091
Sun Aug 24 13:17:44 2008     length 3 : 9819
Sun Aug 24 13:17:44 2008     length 4 : 6949
Sun Aug 24 13:17:44 2008     length 5 : 4532
Sun Aug 24 13:17:44 2008     length 6 : 2756
Sun Aug 24 13:17:44 2008     length 7 : 1649
Sun Aug 24 13:17:44 2008     length 9+: 1812
Sun Aug 24 13:17:44 2008  largest cycle: 19 relations
Sun Aug 24 13:17:44 2008  matrix is 54412 x 54639 (12.2 MB) with weight 2973852 (54.43/col)
Sun Aug 24 13:17:44 2008  sparse part has weight 2973852 (54.43/col)
Sun Aug 24 13:17:44 2008  filtering completed in 3 passes
Sun Aug 24 13:17:44 2008  matrix is 49179 x 49239 (11.1 MB) with weight 2708823 (55.01/col)
Sun Aug 24 13:17:44 2008  sparse part has weight 2708823 (55.01/col)
Sun Aug 24 13:17:44 2008  saving the first 48 matrix rows for later
Sun Aug 24 13:17:45 2008  matrix is 49131 x 49239 (7.1 MB) with weight 2122297 (43.10/col)
Sun Aug 24 13:17:45 2008  sparse part has weight 1554725 (31.58/col)
Sun Aug 24 13:17:45 2008  matrix includes 64 packed rows
Sun Aug 24 13:17:45 2008  using block size 19695 for processor cache size 4096 kB
Sun Aug 24 13:17:45 2008  commencing Lanczos iteration
Sun Aug 24 13:17:45 2008  memory use: 7.0 MB
Sun Aug 24 13:17:55 2008  lanczos halted after 779 iterations (dim = 49130)
Sun Aug 24 13:17:55 2008  recovered 17 nontrivial dependencies
Sun Aug 24 13:17:57 2008  prp28 factor: 6149421791025899547499894967
Sun Aug 24 13:17:57 2008  prp57 factor: 601220980001406340971556885053700885153827701171358855913
Sun Aug 24 13:17:57 2008  elapsed time 00:24:14

Q6600/Windows XP

29962546816479400749063670411985018726591760299625468164794007490636704119850187265917602996254681647940074906367<113>

2259115997850597640784499152946323<34>
13262951900206461666213310460070950876252932275320620693018204736411989385181029<80>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 29962546816479400749063670411985018726591760299625468164794007490636704119850187265917602996254681647940074906367 (113 digits)
Using B1=1054000, B2=1045563762, polynomial Dickson(6), sigma=3402612825
Step 1 took 8203ms
Step 2 took 4407ms
********** Factor found in step 2: 2259115997850597640784499152946323
Found probable prime factor of 34 digits: 2259115997850597640784499152946323
Probable prime cofactor 13262951900206461666213310460070950876252932275320620693018204736411989385181029 has 80 digits

8195798058257650035222798926893206468073882016281189047624546008259499372911085174775551<88>

36394744129187324330831066302113920077<38>
225191803222073042077948412162190617679629996439163<51>

Msieve v. 1.36
Mon Aug 25 09:12:26 2008
random seeds: 022eeabf 0fc3ee48
factoring 8195798058257650035222798926893206468073882016281189047624546008259499
372911085174775551 (88 digits)
no P-1/P+1/ECM available, skipping
commencing quadratic sieve (88-digit input)
using multiplier of 15
using 32kb Intel Core sieve core
sieve interval: 28 blocks of size 32768
processing polynomials in batches of 8
using a sieve bound of 1533799 (58333 primes)
using large prime bound of 122703920 (26 bits)
using double large prime bound of 363032185823760 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
58733 relations (16463 full + 42270 combined from 612585 partial), need 58429
58733 relations (16463 full + 42270 combined from 612585 partial), need 58429
sieving complete, commencing postprocessing
begin with 629048 relations
reduce to 140284 relations in 10 passes
attempting to read 140284 relations
recovered 140284 relations
recovered 117682 polynomials
attempting to build 58733 cycles
found 58733 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 16463
   length 2 : 11455
   length 3 : 10354
   length 4 : 7733
   length 5 : 5344
   length 6 : 3310
   length 7 : 1921
   length 9+: 2153
largest cycle: 18 relations
matrix is 58333 x 58733 (14.2 MB) with weight 3477966 (59.22/col)
sparse part has weight 3477966 (59.22/col)
filtering completed in 3 passes
matrix is 53756 x 53820 (13.0 MB) with weight 3201859 (59.49/col)
sparse part has weight 3201859 (59.49/col)
saving the first 48 matrix rows for later
matrix is 53708 x 53820 (9.4 MB) with weight 2620040 (48.68/col)
sparse part has weight 2132255 (39.62/col)
matrix includes 64 packed rows
using block size 21528 for processor cache size 4096 kB
commencing Lanczos iteration
memory use: 8.6 MB
lanczos halted after 851 iterations (dim = 53706)
recovered 17 nontrivial dependencies
prp38 factor: 36394744129187324330831066302113920077
prp51 factor: 225191803222073042077948412162190617679629996439163
elapsed time 00:54:52

4157967419206794950356467744307872539587747925304194297659532114321235207381223762575902395872801539695335332276170117<118>

642613838830751806249659095006571736039311649<45>
6470398189326729013605156656933550973595555578999795769319970345586959333<73>

Number: n
N=4157967419206794950356467744307872539587747925304194297659532114321235207381223762575902395872801539695335332276170117
  ( 118 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=642613838830751806249659095006571736039311649 (pp45)
 r2=6470398189326729013605156656933550973595555578999795769319970345586959333 (pp73)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.50 hours.
Scaled time: 2.74 units (timescale=1.827).
Factorization parameters were as follows:
name: KA_2_6_122_3
n: 4157967419206794950356467744307872539587747925304194297659532114321235207381223762575902395872801539695335332276170117
type: snfs
skew: 0.54
deg: 5
c5: 250
c0: -11
m: 2000000000000000000000000
rlim: 700000
alim: 700000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 260001)
Primes: RFBsize:56543, AFBsize:56529, largePrimes:4753006 encountered
Relations: rels:3997616, finalFF:139366
Max relations in full relation-set: 48
Initial matrix: 113138 x 139366 with sparse part having weight 13526645.
Pruned matrix : 104170 x 104799 with weight 7166986.
Total sieving time: 1.29 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.05 hours.
Total square root time: 0.09 hours, sqrts: 6.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,700000,700000,28,28,50,50,2.5,2.5,50000
total time: 1.50 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

7640878701050620821394460362941738299904489016236867239732569245463228271251193887297039159503342884431709646609360076408787<124>

1077539553478360533230464619964479<34>
7091042436804680319855247362684038701737502682164360896283654857951232009654026676364876653<91>

Number: 26663_126
N=7640878701050620821394460362941738299904489016236867239732569245463228271251193887297039159503342884431709646609360076408787
  ( 124 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=1077539553478360533230464619964479 (pp34)
 r2=7091042436804680319855247362684038701737502682164360896283654857951232009654026676364876653 (pp91)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.46 hours.
Scaled time: 2.70 units (timescale=0.780).
Factorization parameters were as follows:
name: 26663_126
n: 7640878701050620821394460362941738299904489016236867239732569245463228271251193887297039159503342884431709646609360076408787
m: 20000000000000000000000000
c5: 5
c0: -22
skew: 1.34
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 750001)
Primes: RFBsize:49098, AFBsize:63744, largePrimes:2346493 encountered
Relations: rels:2596068, finalFF:320129
Max relations in full relation-set: 28
Initial matrix: 112907 x 320129 with sparse part having weight 33834564.
Pruned matrix : 89415 x 90043 with weight 8750419.
Total sieving time: 3.31 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 3.46 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<129>

497804025886962506207714390938400623<36>
535686038680649951068585178875042757472954243229661921056248994248736475025875054178317329481<93>

Number: n
N=266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 129 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=497804025886962506207714390938400623 (pp36)
 r2=535686038680649951068585178875042757472954243229661921056248994248736475025875054178317329481 (pp93)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.27 hours.
Scaled time: 2.96 units (timescale=0.905).
Factorization parameters were as follows:
name: KA_2_6_127_3
n: 266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
type: snfs
skew: 0.54
deg: 5
c5: 250
c0: -11
m: 20000000000000000000000000
rlim: 700000
alim: 700000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 360001)
Primes: RFBsize:56543, AFBsize:56529, largePrimes:5287037 encountered
Relations: rels:4505640, finalFF:143302
Max relations in full relation-set: 48
Initial matrix: 113138 x 143302 with sparse part having weight 17608215.
Pruned matrix : 105459 x 106088 with weight 9691679.
Total sieving time: 2.98 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.12 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,700000,700000,28,28,50,50,2.5,2.5,50000
total time: 3.27 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

30417223065719202025408393332329506476088430781684930885264026157024451489312987907070721<89>

2878173973878396344472623824273<31>
10568236438025805805146214006943933895776577890265004772977<59>

Sun Aug 24 12:23:27 2008  Msieve v. 1.36
Sun Aug 24 12:23:27 2008  random seeds: 91c7b3f0 39fd5771
Sun Aug 24 12:23:27 2008  factoring 30417223065719202025408393332329506476088430781684930885264026157024451489312987907070721 (89 digits)
Sun Aug 24 12:23:27 2008  searching for 15-digit factors
Sun Aug 24 12:23:28 2008  commencing quadratic sieve (89-digit input)
Sun Aug 24 12:23:28 2008  using multiplier of 1
Sun Aug 24 12:23:28 2008  using 32kb Intel Core sieve core
Sun Aug 24 12:23:28 2008  sieve interval: 30 blocks of size 32768
Sun Aug 24 12:23:28 2008  processing polynomials in batches of 7
Sun Aug 24 12:23:28 2008  using a sieve bound of 1546697 (58666 primes)
Sun Aug 24 12:23:28 2008  using large prime bound of 123735760 (26 bits)
Sun Aug 24 12:23:28 2008  using double large prime bound of 368545723802400 (42-49 bits)
Sun Aug 24 12:23:28 2008  using trial factoring cutoff of 49 bits
Sun Aug 24 12:23:28 2008  polynomial 'A' values have 11 factors
Sun Aug 24 12:49:33 2008  59095 relations (17383 full + 41712 combined from 602353 partial), need 58762
Sun Aug 24 12:49:34 2008  begin with 619735 relations
Sun Aug 24 12:49:34 2008  reduce to 137172 relations in 9 passes
Sun Aug 24 12:49:34 2008  attempting to read 137172 relations
Sun Aug 24 12:49:35 2008  recovered 137172 relations
Sun Aug 24 12:49:35 2008  recovered 103123 polynomials
Sun Aug 24 12:49:35 2008  attempting to build 59095 cycles
Sun Aug 24 12:49:35 2008  found 59095 cycles in 5 passes
Sun Aug 24 12:49:35 2008  distribution of cycle lengths:
Sun Aug 24 12:49:35 2008     length 1 : 17383
Sun Aug 24 12:49:35 2008     length 2 : 12291
Sun Aug 24 12:49:35 2008     length 3 : 10403
Sun Aug 24 12:49:35 2008     length 4 : 7514
Sun Aug 24 12:49:35 2008     length 5 : 5032
Sun Aug 24 12:49:35 2008     length 6 : 2924
Sun Aug 24 12:49:35 2008     length 7 : 1676
Sun Aug 24 12:49:35 2008     length 9+: 1872
Sun Aug 24 12:49:35 2008  largest cycle: 16 relations
Sun Aug 24 12:49:36 2008  matrix is 58666 x 59095 (13.6 MB) with weight 3325898 (56.28/col)
Sun Aug 24 12:49:36 2008  sparse part has weight 3325898 (56.28/col)
Sun Aug 24 12:49:36 2008  filtering completed in 4 passes
Sun Aug 24 12:49:36 2008  matrix is 53129 x 53193 (12.3 MB) with weight 3012466 (56.63/col)
Sun Aug 24 12:49:36 2008  sparse part has weight 3012466 (56.63/col)
Sun Aug 24 12:49:36 2008  saving the first 48 matrix rows for later
Sun Aug 24 12:49:36 2008  matrix is 53081 x 53193 (8.4 MB) with weight 2389276 (44.92/col)
Sun Aug 24 12:49:36 2008  sparse part has weight 1875750 (35.26/col)
Sun Aug 24 12:49:36 2008  matrix includes 64 packed rows
Sun Aug 24 12:49:36 2008  using block size 21277 for processor cache size 4096 kB
Sun Aug 24 12:49:37 2008  commencing Lanczos iteration
Sun Aug 24 12:49:37 2008  memory use: 7.9 MB
Sun Aug 24 12:49:50 2008  lanczos halted after 841 iterations (dim = 53079)
Sun Aug 24 12:49:50 2008  recovered 16 nontrivial dependencies
Sun Aug 24 12:49:50 2008  prp31 factor: 2878173973878396344472623824273
Sun Aug 24 12:49:50 2008  prp59 factor: 10568236438025805805146214006943933895776577890265004772977
Sun Aug 24 12:49:50 2008  elapsed time 00:26:23

Msieve-1.36/QS

Q6600/Windows XP

589068489131815076485354105182151500327586386083290131231332775086317716668600958529355479<90>

760367035665068717323133747416114223399<39>
774715974656339115136575138199572212734645113395921<51>

Sun Aug 24 13:20:02 2008  Msieve v. 1.36
Sun Aug 24 13:20:02 2008  random seeds: fbaa4548 d5ff5a09
Sun Aug 24 13:20:02 2008  factoring 589068489131815076485354105182151500327586386083290131231332775086317716668600958529355479 (90 digits)
Sun Aug 24 13:20:03 2008  searching for 15-digit factors
Sun Aug 24 13:20:04 2008  commencing quadratic sieve (90-digit input)
Sun Aug 24 13:20:04 2008  using multiplier of 31
Sun Aug 24 13:20:04 2008  using 32kb Intel Core sieve core
Sun Aug 24 13:20:04 2008  sieve interval: 36 blocks of size 32768
Sun Aug 24 13:20:04 2008  processing polynomials in batches of 6
Sun Aug 24 13:20:04 2008  using a sieve bound of 1615223 (61176 primes)
Sun Aug 24 13:20:04 2008  using large prime bound of 135678732 (27 bits)
Sun Aug 24 13:20:04 2008  using double large prime bound of 435031874203416 (42-49 bits)
Sun Aug 24 13:20:04 2008  using trial factoring cutoff of 49 bits
Sun Aug 24 13:20:04 2008  polynomial 'A' values have 12 factors
Sun Aug 24 14:23:42 2008  61374 relations (16026 full + 45348 combined from 666990 partial), need 61272
Sun Aug 24 14:23:44 2008  begin with 683015 relations
Sun Aug 24 14:23:44 2008  reduce to 150768 relations in 11 passes
Sun Aug 24 14:23:44 2008  attempting to read 150768 relations
Sun Aug 24 14:23:45 2008  recovered 150768 relations
Sun Aug 24 14:23:45 2008  recovered 132163 polynomials
Sun Aug 24 14:23:46 2008  attempting to build 61374 cycles
Sun Aug 24 14:23:46 2008  found 61374 cycles in 5 passes
Sun Aug 24 14:23:46 2008  distribution of cycle lengths:
Sun Aug 24 14:23:46 2008     length 1 : 16026
Sun Aug 24 14:23:46 2008     length 2 : 11796
Sun Aug 24 14:23:46 2008     length 3 : 10722
Sun Aug 24 14:23:46 2008     length 4 : 8278
Sun Aug 24 14:23:46 2008     length 5 : 5853
Sun Aug 24 14:23:46 2008     length 6 : 3771
Sun Aug 24 14:23:46 2008     length 7 : 2257
Sun Aug 24 14:23:46 2008     length 9+: 2671
Sun Aug 24 14:23:46 2008  largest cycle: 20 relations
Sun Aug 24 14:23:46 2008  matrix is 61176 x 61374 (15.1 MB) with weight 3710603 (60.46/col)
Sun Aug 24 14:23:46 2008  sparse part has weight 3710603 (60.46/col)
Sun Aug 24 14:23:46 2008  filtering completed in 4 passes
Sun Aug 24 14:23:46 2008  matrix is 57514 x 57578 (14.3 MB) with weight 3511473 (60.99/col)
Sun Aug 24 14:23:46 2008  sparse part has weight 3511473 (60.99/col)
Sun Aug 24 14:23:46 2008  saving the first 48 matrix rows for later
Sun Aug 24 14:23:46 2008  matrix is 57466 x 57578 (9.1 MB) with weight 2779570 (48.27/col)
Sun Aug 24 14:23:46 2008  sparse part has weight 2038144 (35.40/col)
Sun Aug 24 14:23:46 2008  matrix includes 64 packed rows
Sun Aug 24 14:23:46 2008  using block size 23031 for processor cache size 4096 kB
Sun Aug 24 14:23:47 2008  commencing Lanczos iteration
Sun Aug 24 14:23:47 2008  memory use: 8.8 MB
Sun Aug 24 14:24:02 2008  lanczos halted after 911 iterations (dim = 57464)
Sun Aug 24 14:24:02 2008  recovered 16 nontrivial dependencies
Sun Aug 24 14:24:03 2008  prp39 factor: 760367035665068717323133747416114223399
Sun Aug 24 14:24:03 2008  prp51 factor: 774715974656339115136575138199572212734645113395921
Sun Aug 24 14:24:03 2008  elapsed time 01:04:01

Q6600/Windows XP

17638215801424946277538705205049357412849843641681158464695470568727377018710107384739025942038188662837529<107>

1571318684431170472268584011635077965756373<43>
11225104096442483874271543011120612457408910397229839548437445173<65>

Number: 26663_136
N=17638215801424946277538705205049357412849843641681158464695470568727377018710107384739025942038188662837529
  ( 107 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=1571318684431170472268584011635077965756373 (pp43)
 r2=11225104096442483874271543011120612457408910397229839548437445173 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.52 hours.
Scaled time: 6.91 units (timescale=0.657).
Factorization parameters were as follows:
name: 26663_136
n: 17638215801424946277538705205049357412849843641681158464695470568727377018710107384739025942038188662837529
m: 2000000000000000000000000000
c5: 5
c0: -22
skew: 1.34
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:63744, largePrimes:1792261 encountered
Relations: rels:1939159, finalFF:299448
Max relations in full relation-set: 28
Initial matrix: 142307 x 299448 with sparse part having weight 29445787.
Pruned matrix : 112486 x 113261 with weight 11386504.
Total sieving time: 10.31 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.52 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

942539240449598799728657907393877165710658736278448078722000554709399106887259501615297280227529767560912327<108>

4022953384627041789849995127289<31>
234290370863190928348570573401696087817693212086985056963495641872571535390143<78>

Number: 26663_138
N=942539240449598799728657907393877165710658736278448078722000554709399106887259501615297280227529767560912327
  ( 108 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=4022953384627041789849995127289 (pp31)
 r2=234290370863190928348570573401696087817693212086985056963495641872571535390143 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.64 hours.
Scaled time: 9.25 units (timescale=0.869).
Factorization parameters were as follows:
name: 26663_138
n: 942539240449598799728657907393877165710658736278448078722000554709399106887259501615297280227529767560912327
m: 2000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:64024, largePrimes:1644943 encountered
Relations: rels:1676321, finalFF:186319
Max relations in full relation-set: 28
Initial matrix: 142588 x 186319 with sparse part having weight 19451277.
Pruned matrix : 131689 x 132465 with weight 12236740.
Total sieving time: 10.38 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.64 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<140>

959282682025957797850608113019113<33>
27798549026599729182324561097530178917531373289574911508549281342744062452451420379597840926261692683566351<107>

Number: n
N=26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 140 digits)
SNFS difficulty: 140 digits.
Divisors found:

Mon Aug 25 20:32:13 2008  prp33 factor: 959282682025957797850608113019113
Mon Aug 25 20:32:13 2008  prp107 factor: 27798549026599729182324561097530178917531373289574911508549281342744062452451420379597840926261692683566351
Mon Aug 25 20:32:13 2008  elapsed time 00:17:59 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.66 hours.
Scaled time: 10.35 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_6_138_3
n: 26666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
type: snfs
skew: 1.69
deg: 5
c5: 4
c0: -55
m: 10000000000000000000000000000
rlim: 1200000
alim: 1200000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 560001)
Primes: RFBsize:92938, AFBsize:92975, largePrimes:7002152 encountered
Relations: rels:6006723, finalFF:211320
Max relations in full relation-set: 28
Initial matrix: 185977 x 211320 with sparse part having weight 22376445.
Pruned matrix : 
Total sieving time: 4.96 hours.
Total relation processing time: 0.69 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,50,50,2.5,2.5,100000
total time: 5.66 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

486351753906012523557663079822481609824305428901452975864794212414128518450969663809350112468843090765396072709587208948872271870630433461<138>

42566066342315420407961503276609805239725144032539524413928807061<65>
11425809234867554634313801966008971003354585779235506262097186026891882401<74>

Number: 26663_141
N=486351753906012523557663079822481609824305428901452975864794212414128518450969663809350112468843090765396072709587208948872271870630433461
  ( 138 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=42566066342315420407961503276609805239725144032539524413928807061 (pp65)
 r2=11425809234867554634313801966008971003354585779235506262097186026891882401 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 14.88 hours.
Scaled time: 15.04 units (timescale=1.011).
Factorization parameters were as follows:
name: 26663_141
n: 486351753906012523557663079822481609824305428901452975864794212414128518450969663809350112468843090765396072709587208948872271870630433461
m: 20000000000000000000000000000
c5: 5
c0: -22
skew: 1.34
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2350001)
Primes: RFBsize:100021, AFBsize:100104, largePrimes:3163162 encountered
Relations: rels:3417143, finalFF:483950
Max relations in full relation-set: 28
Initial matrix: 200190 x 483950 with sparse part having weight 54374487.
Pruned matrix : 151850 x 152914 with weight 22718147.
Total sieving time: 14.49 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 14.88 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

2195009312883842615956312494274824259880177803431059411666199434226845762617106919694017756641960595544954965800031013549434101030161<133>

74131706740520134432488133381283627<35>
473918783322639150993506355219846282948081391<45>
62478190973515905091229270530795437441876297718914173<53>

Number: 26663_143
N=2195009312883842615956312494274824259880177803431059411666199434226845762617106919694017756641960595544954965800031013549434101030161
  ( 133 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=74131706740520134432488133381283627 (pp35)
 r2=473918783322639150993506355219846282948081391 (pp45)
 r3=62478190973515905091229270530795437441876297718914173 (pp53)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 12.89 hours.
Scaled time: 12.93 units (timescale=1.003).
Factorization parameters were as follows:
name: 26663_143
n: 2195009312883842615956312494274824259880177803431059411666199434226845762617106919694017756641960595544954965800031013549434101030161
m: 20000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2350001)
Primes: RFBsize:100021, AFBsize:100179, largePrimes:2890914 encountered
Relations: rels:2943556, finalFF:305165
Max relations in full relation-set: 28
Initial matrix: 200266 x 305165 with sparse part having weight 33397507.
Pruned matrix : 173998 x 175063 with weight 17976771.
Total sieving time: 12.62 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 12.89 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293<147>

631170595247677325494007511276201721<36>
737524339058375728078988025299221609<36>
629512306969773167184550234503027158972717529174606520898597164110023596037<75>

Number: 26663_148
N=293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293
  ( 147 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=631170595247677325494007511276201721 (pp36)
 r2=737524339058375728078988025299221609 (pp36)
 r3=629512306969773167184550234503027158972717529174606520898597164110023596037 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.94 hours.
Scaled time: 21.21 units (timescale=1.013).
Factorization parameters were as follows:
name: 26663_148
n: 293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293040293
m: 200000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 3650001)
Primes: RFBsize:114155, AFBsize:114243, largePrimes:3091916 encountered
Relations: rels:3208626, finalFF:346994
Max relations in full relation-set: 28
Initial matrix: 228464 x 346994 with sparse part having weight 42238202.
Pruned matrix : 199407 x 200613 with weight 24522224.
Total sieving time: 20.55 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 20.94 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

347701484939610441804361875586216038235238225528174779157242115236783754412850842678285896895876743219937012988495149260111487140603869530857249<144>

9584647896404527490150217237474587315829821200029362091271254431753<67>
36276917910572708977019726585543332934889029681264749296841149667688620319833<77>

Number: 26663_153
N=347701484939610441804361875586216038235238225528174779157242115236783754412850842678285896895876743219937012988495149260111487140603869530857249
  ( 144 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=9584647896404527490150217237474587315829821200029362091271254431753 (pp67)
 r2=36276917910572708977019726585543332934889029681264749296841149667688620319833 (pp77)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.00 hours.
Scaled time: 24.07 units (timescale=1.003).
Factorization parameters were as follows:
name: 26663_153
n: 347701484939610441804361875586216038235238225528174779157242115236783754412850842678285896895876743219937012988495149260111487140603869530857249
m: 2000000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176244, largePrimes:5838800 encountered
Relations: rels:5925527, finalFF:616857
Max relations in full relation-set: 28
Initial matrix: 352612 x 616857 with sparse part having weight 59940685.
Pruned matrix : 264646 x 266473 with weight 31491438.
Total sieving time: 23.08 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.76 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 24.00 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

196336387850666898435886985994390947515578847455806385406582232661469625771635883806609574286096836768770851495960073560800051<126>

8627089357765378991076246682719777963998610241<46>
22758126142966332417669133587283570000761657492867169951767849493683399601751411<80>

Number: 26663_155
N=196336387850666898435886985994390947515578847455806385406582232661469625771635883806609574286096836768770851495960073560800051
  ( 126 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=8627089357765378991076246682719777963998610241 (pp46)
 r2=22758126142966332417669133587283570000761657492867169951767849493683399601751411 (pp80)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 38.18 hours.
Scaled time: 18.02 units (timescale=0.472).
Factorization parameters were as follows:
name: 26663_155
n: 196336387850666898435886985994390947515578847455806385406582232661469625771635883806609574286096836768770851495960073560800051
m: 10000000000000000000000000000000
c5: 8
c0: -11
skew: 1.07
type: snfs
Factor 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, 2500001)
Primes: RFBsize:216816, AFBsize:216082, largePrimes:5574642 encountered
Relations: rels:5553841, finalFF:573445
Max relations in full relation-set: 28
Initial matrix: 432963 x 573445 with sparse part having weight 42953283.
Pruned matrix : 333445 x 335673 with weight 26446379.
Total sieving time: 34.16 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.70 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 38.18 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

2409130604992923178847833288162134489716023729936459180293311651157888397024723702833739874122925889119763905200710693528472912337760110820007829674466227<154>

1105327928036418569669147130317306733637<40>
2179561869275003655805053554544359944708001505318774837743094477875371215017299055737728009643796884495907468594071<115>

Number: 26663_157
N=2409130604992923178847833288162134489716023729936459180293311651157888397024723702833739874122925889119763905200710693528472912337760110820007829674466227
  ( 154 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=1105327928036418569669147130317306733637
 r2=2179561869275003655805053554544359944708001505318774837743094477875371215017299055737728009643796884495907468594071
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
n: 2409130604992923178847833288162134489716023729936459180293311651157888397024723702833739874122925889119763905200710693528472912337760110820007829674466227
Y1: 1
Y0: -20000000000000000000000000000000
c5: 25
c0: -11
skew: 0.85
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1500000, 2300001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 496232 x 496474
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,52,52,2.5,2.5,100000
total time: 15.20 hours.

Msieve 1.36

Opteron-2.2GHz; Linux x86_64

103319126953377243962288518662017305953764690688363683326875887898747255585690300916957251711223040165310603125403590339661629859227689526023505101381893323<156>

85645030255583612491797176677799392292263<41>
1206364533295746858405918018055464413960376241979912931904257349702717955872012065492560876276627423631920046146621<115>

Number: 26663_158
N=103319126953377243962288518662017305953764690688363683326875887898747255585690300916957251711223040165310603125403590339661629859227689526023505101381893323
  ( 156 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=85645030255583612491797176677799392292263
 r2=1206364533295746858405918018055464413960376241979912931904257349702717955872012065492560876276627423631920046146621
Version: 
Total time: 22.37 hours.
Scaled time: 76.54 units (timescale=3.422).
Factorization parameters were as follows:
n: 103319126953377243962288518662017305953764690688363683326875887898747255585690300916957251711223040165310603125403590339661629859227689526023505101381893323
Y1: 1
Y0: -20000000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3500001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 490121 x 490369
Total sieving time: 22.37 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.50 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 22.37 hours.

Msieve-1.36

Q6600/Windows XP

93165095709803910034220755200074213920442816991906500418090991135299650476503556714014354208663641612641625384792826506391<122>

4696433042047289514966970256674200476261<40>
19837415944333569454521178385670584763249729870811764701051961027139351921162624331<83>

Number: 26663_162
N=93165095709803910034220755200074213920442816991906500418090991135299650476503556714014354208663641612641625384792826506391
  ( 122 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=4696433042047289514966970256674200476261 (pp40)
 r2=19837415944333569454521178385670584763249729870811764701051961027139351921162624331 (pp83)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 53.91 hours.
Scaled time: 54.39 units (timescale=1.009).
Factorization parameters were as follows:
name: 26663_162
n: 93165095709803910034220755200074213920442816991906500418090991135299650476503556714014354208663641612641625384792826506391
m: 200000000000000000000000000000000
c5: 25
c0: -11
skew: 0.85
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4350001)
Primes: RFBsize:315948, AFBsize:315742, largePrimes:5978765 encountered
Relations: rels:6297572, finalFF:922018
Max relations in full relation-set: 28
Initial matrix: 631754 x 922018 with sparse part having weight 52727144.
Pruned matrix : 405565 x 408787 with weight 39479532.
Total sieving time: 52.40 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.34 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 53.91 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

11848291465185322644709783710930277954304746404731360294607998144533448422134791685213367257651306885901437134349420511<119>

301147670230833087243353381876753817878047<42>
39343792552349727779693072074780867921299727848712907400115696799639680859713<77>

Number: 26663_163
N=11848291465185322644709783710930277954304746404731360294607998144533448422134791685213367257651306885901437134349420511
  ( 119 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=301147670230833087243353381876753817878047
 r2=39343792552349727779693072074780867921299727848712907400115696799639680859713
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 11848291465185322644709783710930277954304746404731360294607998144533448422134791685213367257651306885901437134349420511
Y1: 1
Y0: -200000000000000000000000000000000
c5: 250
c0: -11
skew: 0.54
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 2850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 741400 x 741648
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 2.10 hours.
Time per square root: 0.33 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.5,2.5,100000
total time: 14.00 hours.

***Msieve-1.37***

Opteron-2.8GHz; Linux x86_64

49725704556137704423661216041118247090543159706357700166536221229855719898668239377118176390602691592764816991212007988200923867119167385875197611<146>

10865659052292619388679044078475137<35>
4576409430557803066039585822705526398937317357435248022811589980525323757752016816620470019755082138495042370603<112>

Using B1=25000000, B2=96190324246, polynomial Dickson(12), sigma=2919656688
Step 1 took 173974ms
Step 2 took 45112ms
********** Factor found in step 2: 10865659052292619388679044078475137
Found probable prime factor of 35 digits: 10865659052292619388679044078475137
Probable prime cofactor 4576409430557803066039585822705526398937317357435248022811589980525323757752016816620470019755082138495042370603 has 112 digits

GMP-ECM 6.2.1

1441951960246082360764268417591729632910128417810088023130093284906523100277052882542186121907079037104833973273686096487538783909255696393232530195633467051<157>

892943739843446667190715388245117<33>
392527646794798165127898569877809173341146158091463648461<57>
4113925703226251734064538448395755445011135196921757070023860615523<67>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1441951960246082360764268417591729632910128417810088023130093284906523100277052882542186121907079037104833973273686096487538783909255696393232530195633467051 (157 digits)
Using B1=2610000, B2=3568033570, polynomial Dickson(6), sigma=2799032758
Step 1 took 31469ms
Step 2 took 12031ms
********** Factor found in step 2: 892943739843446667190715388245117
Found probable prime factor of 33 digits: 892943739843446667190715388245117
Composite cofactor 1614829575376035798972495961314039512335349400212716937196026101586056506417632008295855000696288207767290358854258751660103 has 124 digits


Number: n
N=1614829575376035798972495961314039512335349400212716937196026101586056506417632008295855000696288207767290358854258751660103
  ( 124 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Sep  1 12:19:26 2008  prp57 factor: 392527646794798165127898569877809173341146158091463648461
Mon Sep  1 12:19:26 2008  prp67 factor: 4113925703226251734064538448395755445011135196921757070023860615523
Mon Sep  1 12:19:26 2008  elapsed time 01:21:42 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 12.27 hours.
Scaled time: 10.29 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_2_6_164_3
n: 1614829575376035798972495961314039512335349400212716937196026101586056506417632008295855000696288207767290358854258751660103
type: snfs
skew: 2.13
deg: 5
c5: 1
c0: -44
m: 2000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 1400001)
Primes: RFBsize:348513, AFBsize:347567, largePrimes:11994991 encountered
Relations: rels:11300458, finalFF:810381
Max relations in full relation-set: 28
Initial matrix: 696143 x 810381 with sparse part having weight 59295126.
Pruned matrix : 
Total sieving time: 12.01 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,52,52,2.5,2.5,100000
total time: 12.27 hours.
 --------- CPU info (if available) ----------

6742913850762627770842409927524633339309240733571712195242419131602039630296147933461263266366927288715640955683294439363377903151022642957570130307653030219127<160>

651701029217118246663040446269232348044819826548758806571194117322481623985581<78>
10346636798875123657678542081026145261494185181631514140254760838629797607664649267<83>

Number: n
N=6742913850762627770842409927524633339309240733571712195242419131602039630296147933461263266366927288715640955683294439363377903151022642957570130307653030219127
  ( 160 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue Sep  2 13:14:52 2008  prp78 factor: 651701029217118246663040446269232348044819826548758806571194117322481623985581
Tue Sep  2 13:14:52 2008  prp83 factor: 10346636798875123657678542081026145261494185181631514140254760838629797607664649267
Tue Sep  2 13:14:52 2008  elapsed time 01:26:16 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 22.59 hours.
Scaled time: 18.93 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_2_6_165_3
n: 6742913850762627770842409927524633339309240733571712195242419131602039630296147933461263266366927288715640955683294439363377903151022642957570130307653030219127
type: snfs
skew: 1.34
deg: 5
c5: 5
c0: -22
m: 2000000000000000000000000000000000
rlim: 5000000
alim: 5000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 2600001)
Primes: RFBsize:348513, AFBsize:348587, largePrimes:13964706 encountered
Relations: rels:13838473, finalFF:1133567
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Loading matrix into RAM...
Matrix scanned: it should be 697165 x 1133567.
Found 6 dense blocks. Re-reading matrix...
The dense blocks consist of the following sets of rows:
[697101, 697164]
[0, 63]
[64, 127]
[128, 191]
[348513, 348576]
[348577, 348640]
Matrix loaded: it is 697165 x 1133567.
Warning: column 121076 is all zero!
checkMat() did not like something about the matrix:
This is probably a sign that something has gone horribly wrong
in the matrix construction (matbuild).
However, the number of bad columns is only 1,
so we will delete them and attempt to continue.
checkMat() returned some error! Terminating...
Return value 65280. Terminating...

Total sieving time: 22.25 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,167,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,52,52,2.5,2.5,100000
total time: 22.59 hours.
 --------- CPU info (if available) ----------

2238778764670036419303891122295571160842294590325316161112993170253842339716470732568621665558861692124847724391510927<118>

8673076109373383322045834079530356383323130570903067<52>
258129726574229822024593324520497107330628067659816506194390087581<66>

Number: 26663_168
N=2238778764670036419303891122295571160842294590325316161112993170253842339716470732568621665558861692124847724391510927
  ( 118 digits)
Divisors found:
 r1=8673076109373383322045834079530356383323130570903067 (pp52)
 r2=258129726574229822024593324520497107330628067659816506194390087581 (pp66)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 82.55 hours.
Scaled time: 38.96 units (timescale=0.472).
Factorization parameters were as follows:
name: 26663_168
n: 2238778764670036419303891122295571160842294590325316161112993170253842339716470732568621665558861692124847724391510927
skew: 87948.71
# norm 6.50e+15
c5: 3300
c4: -2150396930
c3: -27162499434620
c2: 11425700944262902017
c1: -153744611732049114131170
c0: -9212687014339136827415685337
# alpha -5.65
Y1: 3149785904737
Y0: -58385163583490247768414
# Murphy_E 4.08e-10
# M 75257000721508686292250693276166591660463930381830897805141574721611218468907349199283468006029506246273595166527328
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, 3810001)
Primes: RFBsize:315948, AFBsize:315291, largePrimes:7527907 encountered
Relations: rels:7516576, finalFF:709664
Max relations in full relation-set: 28
Initial matrix: 631318 x 709664 with sparse part having weight 55983557.
Pruned matrix : 563555 x 566775 with weight 38359589.
Polynomial selection time: 3.98 hours.
Total sieving time: 63.38 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 14.05 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 82.55 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

173146672021881921378896373090978957549911838084851329459712681790545591628898153652066417156764183279951056853213653990375319291436029897<138>

21444720061961923459119388271642272065257<41>
8074093367579318645109991039242689165888372857971148977391463264840925662722940362463996964183521<97>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 173146672021881921378896373090978957549911838084851329459712681790545591628898153652066417156764183279951056853213653990375319291436029897

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1148971329
Step 1 took 48953ms
Step 2 took 16973ms
********** Factor found in step 2: 21444720061961923459119388271642272065257
Found probable prime factor of 41 digits: 21444720061961923459119388271642272065257
Probable prime cofactor 8074093367579318645109991039242689165888372857971148977391463264840925662722940362463996964183521 has 97 digits

89572918807992084599135765143735520891413934611338714495828143684100870450188258262831597166069426537504778163501521975640172727386960968697358477424437887<155>

379919932959707519722966083766347941284954305359<48>
235767884328121729344442224036858091022336279014513197183862800102339634118624490038634191101266307973040593<108>

SNFS difficulty: 172 digits.
Divisors found:
 r1=379919932959707519722966083766347941284954305359
 r2=235767884328121729344442224036858091022336279014513197183862800102339634118624490038634191101266307973040593
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 89572918807992084599135765143735520891413934611338714495828143684100870450188258262831597166069426537504778163501521975640172727386960968697358477424437887
Y1: 1
Y0: -20000000000000000000000000000000000
c5: 25
c0: -11
skew: 0.85
type: snfs
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 6700001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1208103 x 1208351
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,9000000,9000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

91925099566840514579862159855723574163615261031069756391977117342379508653758020321481439131791263848497042220577026880061<122>

2420995607054671044108003821518248239767<40>
37969957194046514176647750464622844630717776681886775745942777306692010895939678283<83>

Number: 26663_173
N=91925099566840514579862159855723574163615261031069756391977117342379508653758020321481439131791263848497042220577026880061
  ( 122 digits)
Divisors found:
 r1=2420995607054671044108003821518248239767 (pp40)
 r2=37969957194046514176647750464622844630717776681886775745942777306692010895939678283 (pp83)
Version: Msieve-1.39
Total time: 54.53 hours.
Scaled time: 140.20 units (timescale=2.571).
Factorization parameters were as follows:
# Murphy_E = 2.150701e-10, selected by Jeff Gilchrist
n: 91925099566840514579862159855723574163615261031069756391977117342379508653758020321481439131791263848497042220577026880061
Y0: -349452957735598923964078
Y1: 10362996766331
c0: -1062632721513365353062035043615
c1: 316697255897387397597827777
c2: 1563572907539943899645
c3: -3712873729966849
c4: -11060071302
c5: 17640
skew: 347138.3
type: gnfs
# selected mechanically
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2950000, 5470001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 809289 x 809537
Total sieving time: 54.53 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5900000,5900000,27,27,52,52,2.5,2.5,60000
total time: 54.53 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

948714575385255516867386745019772438468115089027083983080876755252172655396229716566810914666866386258309852313312648271655061302545483629731<141>

54025826276493391367574786296889494563167553343221740395935210652729<68>
17560389924069347001274240579902185623944813868671728077363524416077047739<74>

N = 948714575385255516867386745019772438468115089027083983080876755252172655396229716566810914666866386258309852313312648271655061302545483629731 (141 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=54025826276493391367574786296889494563167553343221740395935210652729 (pp68)
r2=17560389924069347001274240579902185623944813868671728077363524416077047739 (pp74)
Version: Msieve v. 1.48
Total time: 26.93 hours.
Factorization parameters were as follows:
name: (8*10^175-11)/3
n: 948714575385255516867386745019772438468115089027083983080876755252172655396229716566810914666866386258309852313312648271655061302545483629731
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -11
c1: 0
c2: 0
c3: 0
c4: 0
c5: 8
skew: 1.07
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19866621
Relations: 2063650 relations
Pruned matrix : 1174364 x 1174606
Polynomial selection time: 0.00 hours.
Total sieving time: 24.63 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.84 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 26.93 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

344517323391617043640423081209414111686693954150642010189618640139290019115823077711373754821830818531272760703044185623339380279739739597912164176456346791<156>

691250163350737863279583338058427985562090907552928456956179<60>
498397456749402870804326981604791797310571553182860205624462286188178186440862830303194693174429<96>

Number: n
N=344517323391617043640423081209414111686693954150642010189618640139290019115823077711373754821830818531272760703044185623339380279739739597912164176456346791
  ( 156 digits)
SNFS difficulty: 177 digits.
Divisors found:

Mon Jan 16 15:14:47 2012  prp60 factor: 691250163350737863279583338058427985562090907552928456956179
Mon Jan 16 15:14:47 2012  prp96 factor: 498397456749402870804326981604791797310571553182860205624462286188178186440862830303194693174429
Mon Jan 16 15:14:47 2012  elapsed time 02:00:42 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.650).
Factorization parameters were as follows:
name: KA_26663_177
n: 344517323391617043640423081209414111686693954150642010189618640139290019115823077711373754821830818531272760703044185623339380279739739597912164176456346791
m: 200000000000000000000000000000000000
deg: 5
c5: 25
c0: -11
skew: 0.85
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6323686 hash collisions in 75000098 relations
Msieve: matrix is 996109 x 996357 (273.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

607679180121274967403978066744182403667492587588020911544029430472757112218439421579444245166527129546491684269068494464771804353438185993305113868470061299603036819833<168>

24902290071539505232947157370809<32>

24402542030292362032996350257126313176584682115300957283898560700731379335812856761997377266656064229543530545017001142017298689072691137<137>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2294159883
Step 1 took 8351ms
Step 2 took 6372ms
********** Factor found in step 2: 24902290071539505232947157370809
Found probable prime factor of 32 digits: 24902290071539505232947157370809
Composite cofactor 24402542030292362032996350257126313176584682115300957283898560700731379335812856761997377266656064229543530545017001142017298689072691137 has 137 digits

GMP-ECM 6.2.1

24402542030292362032996350257126313176584682115300957283898560700731379335812856761997377266656064229543530545017001142017298689072691137<137>

78601882412449021557340380013816196055415373356484732803<56>
310457476097639491397464934909768780041647963234809076810487572813962624881359979<81>

N=24402542030292362032996350257126313176584682115300957283898560700731379335812856761997377266656064229543530545017001142017298689072691137
  ( 137 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=78601882412449021557340380013816196055415373356484732803 (pp56)
 r2=310457476097639491397464934909768780041647963234809076810487572813962624881359979 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 83.34 hours.
Scaled time: 159.52 units (timescale=1.914).
Factorization parameters were as follows:
n: 24402542030292362032996350257126313176584682115300957283898560700731379335812856761997377266656064229543530545017001142017298689072691137
m: 200000000000000000000000000000000000
deg: 5
c5: 250
c0: -11
skew: 0.54
# Murphy_E = 1.171e-10
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3350000, 7750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1263972 x 1264205
Total sieving time: 81.46 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.55 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 83.34 hours.
 --------- CPU info (if available) ----------

266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<180>

4682209735745219226761500789554699502777<40>
56953165645456519175499917759107331724155107752653509943265611671232250463973830108138400277147620488064312051591440159053383107906533210719<140>

Number: 26663_179
N=266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
  ( 180 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=4682209735745219226761500789554699502777 (pp40)
 r2=56953165645456519175499917759107331724155107752653509943265611671232250463973830108138400277147620488064312051591440159053383107906533210719 (pp140)
Version: GGNFS-0.77.1-20060722-nocona
Total time: 340.53 hours.
Scaled time: 686.16 units (timescale=2.015).
Factorization parameters were as follows:
n: 266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663
m: 1000000000000000000000000000000000000
c5: 4
c0: -55
skew: 1.69
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 7800001)
Primes: RFBsize:501962, AFBsize:500697, largePrimes:6409304 encountered
Relations: rels:6929357, finalFF:1194527
Max relations in full relation-set: 32
Initial matrix: 1002723 x 1194527 with sparse part having weight 57740419.
Pruned matrix : 833652 x 838729 with weight 41052163.
Total sieving time: 336.37 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 3.89 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 340.53 hours.
 --------- CPU info (if available) ----------

9739738543337798536117540076278817805556936227671908021923970712054817347472530994275959608801354729991079766529357525296673<124>

3400747871425819708132739489<28>
38816920840993351478857495860128753476187<41>
73782230785092535333770078843852428216528975329015286611<56>

#ECM, then gnfs/Msieve
#
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=1157696711
Step 1 took 5689ms
Step 2 took 3166ms
********** Factor found in step 2: 3400747871425819708132739489
Found probable prime factor of 28 digits: 3400747871425819708132739489
Composite cofactor 2863999011856839684189632857032227275314528666558642362791977590502022197508465810654828368432257 has 97 digits

Number: 26663_180
N=2863999011856839684189632857032227275314528666558642362791977590502022197508465810654828368432257
  ( 97 digits)
Divisors found:
 r1=38816920840993351478857495860128753476187
 r2=73782230785092535333770078843852428216528975329015286611
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.953).
Factorization parameters were as follows:
name: 26663_180
n: 2863999011856839684189632857032227275314528666558642362791977590502022197508465810654828368432257
skew: 4520.93
# norm 1.38e+13
c5: 32880
c4: 2367442
c3: -1766456187165
c2: 3692732179295755
c1: 21831126546193430705
c0: 6433261978193336300543
# alpha -5.40
Y1: 10108298959
Y0: -2443476604716635280
# Murphy_E 4.95e-09
# M 1500633408794892675967970158936107201052746886196142694054793555285370286000876464460094243978359
type: gnfs
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1020001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123265 x 123498
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 1.70 hours.

GMP-ECM 6.2.1+pol51+Msieve 1.36

Opteron-2.6GHz; Linux x86_64

269912721994812512044162935060454467566832706044809152656611138676213821326137958450827706385614434213816032332994148520037350645684799746048583015114045544319362754121611<171>

18057144754324462860980952700331403229136335844665561<53>
14947696641251754547842343415035403390374999327855981901663427093065122255797738079334758187412859310023657585899298051<119>

Number: n
N=269912721994812512044162935060454467566832706044809152656611138676213821326137958450827706385614434213816032332994148520037350645684799746048583015114045544319362754121611
  ( 171 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Feb  9 08:47:06 2012  prp53 factor: 18057144754324462860980952700331403229136335844665561
Thu Feb  9 08:47:06 2012  prp119 factor: 14947696641251754547842343415035403390374999327855981901663427093065122255797738079334758187412859310023657585899298051
Thu Feb  9 08:47:06 2012  elapsed time 02:46:33 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_26663_181
n: 269912721994812512044162935060454467566832706044809152656611138676213821326137958450827706385614434213816032332994148520037350645684799746048583015114045544319362754121611
m: 1000000000000000000000000000000000000
#  c171, diff: 181.9
skew: 0.67
deg: 5
c5: 80
c0: -11
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5872633 hash collisions in 76674212 relations (73592060 unique)
Msieve: matrix is 1104654 x 1104902 (302.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

359020492307725000474397390958104070277179819777908911145493407609740111942634153043965119675426126694541723889272002446267715123944053854356684564216760899294492479089<168>

8475499902573581263996757397354506625478168592500798701911<58>
42359801360944928964631947720614325632955369043544188991144268115697024826863555430137126174554178171500570999<110>

N=359020492307725000474397390958104070277179819777908911145493407609740111942634153043965119675426126694541723889272002446267715123944053854356684564216760899294492479089
  ( 168 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=8475499902573581263996757397354506625478168592500798701911 (pp58)
 r2=42359801360944928964631947720614325632955369043544188991144268115697024826863555430137126174554178171500570999 (pp110)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 102.61 hours.
Scaled time: 197.11 units (timescale=1.921).
Factorization parameters were as follows:
n: 359020492307725000474397390958104070277179819777908911145493407609740111942634153043965119675426126694541723889272002446267715123944053854356684564216760899294492479089
m: 2000000000000000000000000000000000000
deg: 5
c5: 25
c0: -11
skew: 0.85
# Murphy_E = 1.056e-10
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 9100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1294294 x 1294519
Total sieving time: 100.72 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.61 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 102.61 hours.
 --------- CPU info (if available) ----------

354683068038154279506528821565520973498765273160613617418040829630016819164068433062741486821541383478313628175731986493558547013666524129190930606434387<153>

49831793350956489985242417352460516161305995881529470773853536950507340841<74>
7117605933629245167675877807300340490845454118454327558256317501871182661908507<79>

N=354683068038154279506528821565520973498765273160613617418040829630016819164068433062741486821541383478313628175731986493558547013666524129190930606434387
  ( 153 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=49831793350956489985242417352460516161305995881529470773853536950507340841 (pp74)
 r2=7117605933629245167675877807300340490845454118454327558256317501871182661908507 (pp79)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 133.86 hours.
Scaled time: 257.67 units (timescale=1.925).
Factorization parameters were as follows:
n: 354683068038154279506528821565520973498765273160613617418040829630016819164068433062741486821541383478313628175731986493558547013666524129190930606434387
m: 2000000000000000000000000000000000000
deg: 5
c5: 250
c0: -11
skew: 0.54
# Murphy_E = 7.355e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 10850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1627953 x 1628179
Total sieving time: 130.86 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.59 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 133.86 hours.
 --------- CPU info (if available) ----------

709804348029311432615361487605798179876088428922020417974742947307233090383079104007890690714875288602986448589650436943127068726085669473326205539<147>

34959685135439599998350331169826504229320361037<47>
20303510894889700477831893503469072303144761723250664983278683534763804172351493338048257300517806447<101>

N=709804348029311432615361487605798179876088428922020417974742947307233090383079104007890690714875288602986448589650436943127068726085669473326205539
  ( 147 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=34959685135439599998350331169826504229320361037 (pp47)
 r2=20303510894889700477831893503469072303144761723250664983278683534763804172351493338048257300517806447 (pp101)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 114.97 hours.
Scaled time: 221.32 units (timescale=1.925).
Factorization parameters were as follows:
n: 709804348029311432615361487605798179876088428922020417974742947307233090383079104007890690714875288602986448589650436943127068726085669473326205539
m: 10000000000000000000000000000000000000
deg: 5
c5: 4
c0: -55
skew: 1.69
# Murphy_E = 8.725e-11
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4350000, 9950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1383092 x 1383319
Total sieving time: 112.84 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 114.97 hours.
 --------- CPU info (if available) ----------

19993935534428470387311085534150682282359433967591630726737585678547487276933297437114835510244053204128828784768158608291226574120484760573868221767<149>

13013802940951597013716957931948100032380127645081<50>
1536363784294898136685107662667115896363099264111800245159819346082195603147853594760951979276490207<100>

N=19993935534428470387311085534150682282359433967591630726737585678547487276933297437114835510244053204128828784768158608291226574120484760573868221767
  ( 149 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=13013802940951597013716957931948100032380127645081 (pp50)
 r2=1536363784294898136685107662667115896363099264111800245159819346082195603147853594760951979276490207 (pp100)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 126.18 hours.
Scaled time: 242.90 units (timescale=1.925).
Factorization parameters were as follows:
n: 19993935534428470387311085534150682282359433967591630726737585678547487276933297437114835510244053204128828784768158608291226574120484760573868221767
m: 10000000000000000000000000000000000000
deg: 5
c5: 8
c0: -11
skew: 1.07
# Murphy_E = 8.274e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 10400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1525430 x 1525656
Total sieving time: 123.15 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.66 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 126.18 hours.
 --------- CPU info (if available) ----------

25792046001060299798728998337848599741167413752507514163946575815254366382424685443769460907080952510423066410491020637572821824164531357883489<143>

2192304707199435772079086280879689697<37>
11764808932061457297231625688715579816249717094720014558517113188917412582106283237545709226419556133035137<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1139364994
Step 1 took 21943ms
Step 2 took 8745ms
********** Factor found in step 2: 2192304707199435772079086280879689697
Found probable prime factor of 37 digits: 2192304707199435772079086280879689697

5099048773562617651075104150137922232658358375545782188543590083920421746616455747317514555758962036945767522233681574956581024612113745857349<142>

763833428958301614483077536083553318403<39>
6675603057222282845273462247574054719791822382746263297621168283577488247156485745298969609765569903383<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2925887509
Step 1 took 21468ms
Step 2 took 8752ms
********** Factor found in step 2: 763833428958301614483077536083553318403
Found probable prime factor of 39 digits: 763833428958301614483077536083553318403

8562596272506419426896832732168329448294271014834449237546951603271309488208814862955230817652823644123591435393532414443925288928858399039342389196514057372216014683789<169>

76617536041266393973977892661446823<35>
111757656470374927554207190591096632379065941370906924687870380014787121194733579645021562206670227880788159907006851269479172307644843<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=758429682
Step 1 took 59990ms
Step 2 took 23763ms
********** Factor found in step 2: 76617536041266393973977892661446823
Found probable prime factor of 35 digits: 76617536041266393973977892661446823
Probable prime cofactor 111757656470374927554207190591096632379065941370906924687870380014787121194733579645021562206670227880788159907006851269479172307644843 has 135 digits

114651850056017947156736805326386283650303197616576369677463678839576123419086238148045837279121534304597933477457992972167838788174769595869651635729114340825934714056625433<174>

339882416502297428906803334889412924041783112458167074778820117061349<69>
337327983118076248281727953421379080160453371916600291804114750800475287659216423096510299564613678292517<105>

p69 factor: 339882416502297428906803334889412924041783112458167074778820117061349
p105 factor: 337327983118076248281727953421379080160453371916600291804114750800475287659216423096510299564613678292517


Msieve v. 1.54 (SVN 1034)
random seeds: 7843dadc 3ecf362d
factoring 114651850056017947156736805326386283650303197616576369677463678839576123419086238148045837279121534304597933477457992972167838788174769595869651635729114340825934714056625433 (174 digits)
searching for 15-digit factors
commencing number field sieve (174-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: -11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 250
skew 1.00, size 1.462e-13, alpha 0.564, combined = 2.554e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 1263413 hash collisions in 37692968 relations
added 727209 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38420177 unique relations
memory use: 97.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1256.8 MB
keeping 40504359 ideals with weight <= 200, target excess is 205641
commencing in-memory singleton removal
begin with 38420177 relations and 40504359 unique ideals
reduce to 15257205 relations and 13467904 ideals in 15 passes
max relations containing the same ideal: 110
removing 2063071 relations and 1663071 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13194134 relations and 13467904 unique ideals
reduce to 12963033 relations and 11566006 ideals in 9 passes
max relations containing the same ideal: 101
removing 1646661 relations and 1246661 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11316372 relations and 11566006 unique ideals
reduce to 11143931 relations and 10141441 ideals in 9 passes
max relations containing the same ideal: 91
removing 1545163 relations and 1145163 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9598768 relations and 10141441 unique ideals
reduce to 9416923 relations and 8808240 ideals in 8 passes
max relations containing the same ideal: 82
removing 1429279 relations and 1059140 ideals in 370139 cliques
commencing in-memory singleton removal
begin with 7987644 relations and 8808240 unique ideals
reduce to 7797592 relations and 7552121 ideals in 8 passes
max relations containing the same ideal: 73
relations with 0 large ideals: 4361
relations with 1 large ideals: 11767
relations with 2 large ideals: 95181
relations with 3 large ideals: 432314
relations with 4 large ideals: 1164904
relations with 5 large ideals: 1957449
relations with 6 large ideals: 2135052
relations with 7+ large ideals: 1996564
commencing 2-way merge
reduce to 4818676 relation sets and 4573205 unique ideals
commencing full merge
memory use: 527.1 MB
found 2234213 cycles, need 2205405
weight of 2205405 cycles is about 198959705 (90.21/cycle)
distribution of cycle lengths:
1 relations: 181716
2 relations: 183085
3 relations: 192210
4 relations: 189609
5 relations: 185292
6 relations: 173987
7 relations: 163922
8 relations: 149240
9 relations: 132552
10+ relations: 653792
heaviest cycle: 27 relations
commencing cycle optimization
start with 16260762 relations
pruned 560015 relations
memory use: 481.8 MB
distribution of cycle lengths:
1 relations: 181716
2 relations: 187600
3 relations: 199574
4 relations: 196111
5 relations: 192538
6 relations: 179816
7 relations: 169766
8 relations: 152646
9 relations: 135394
10+ relations: 610244
heaviest cycle: 26 relations
RelProcTime: 979
elapsed time 00:16:21


Msieve v. 1.54 (SVN 1034)
random seeds: 47e4bc0b 946cf0a7
factoring 114651850056017947156736805326386283650303197616576369677463678839576123419086238148045837279121534304597933477457992972167838788174769595869651635729114340825934714056625433 (174 digits)
searching for 15-digit factors
commencing number field sieve (174-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: -11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 250
skew 1.00, size 1.462e-13, alpha 0.564, combined = 2.554e-11 rroots = 1

commencing linear algebra
read 2205405 cycles
cycles contain 7578006 unique relations
read 7578006 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 936.2 MB
read 2205405 cycles
matrix is 2205227 x 2205405 (810.3 MB) with weight 237319297 (107.61/col)
sparse part has weight 188149604 (85.31/col)
filtering completed in 2 passes
matrix is 2204284 x 2204460 (810.2 MB) with weight 237281560 (107.64/col)
sparse part has weight 188133354 (85.34/col)
matrix starts at (0, 0)
matrix is 2204284 x 2204460 (810.2 MB) with weight 237281560 (107.64/col)
sparse part has weight 188133354 (85.34/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2204236 x 2204460 (768.4 MB) with weight 194558125 (88.26/col)
sparse part has weight 179378013 (81.37/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 729.3 MB
linear algebra at 0.1%, ETA 2h25m
checkpointing every 920000 dimensions
lanczos halted after 34860 iterations (dim = 2204232)
recovered 35 nontrivial dependencies
BLanczosTime: 8181
elapsed time 02:16:22


Msieve v. 1.54 (SVN 1034)
random seeds: 8f652ff8 681c0379
factoring 114651850056017947156736805326386283650303197616576369677463678839576123419086238148045837279121534304597933477457992972167838788174769595869651635729114340825934714056625433 (174 digits)
searching for 15-digit factors
commencing number field sieve (174-digit input)
R0: -200000000000000000000000000000000000000
R1: 1
A0: -11
A1: 0
A2: 0
A3: 0
A4: 0
A5: 250
skew 1.00, size 1.462e-13, alpha 0.564, combined = 2.554e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1101903 cycles
cycles contain 3789192 unique relations
read 3789192 relations
multiplying 3789192 relations
multiply complete, coefficients have about 112.59 million bits
initial square root is modulo 120608461
GCD is N, no factor found
reading relations for dependency 2
read 1101902 cycles
cycles contain 3788634 unique relations
read 3788634 relations
multiplying 3788634 relations
multiply complete, coefficients have about 112.57 million bits
initial square root is modulo 120246601
sqrtTime: 436
p69 factor: 339882416502297428906803334889412924041783112458167074778820117061349
p105 factor: 337327983118076248281727953421379080160453371916600291804114750800475287659216423096510299564613678292517
elapsed time 00:07:17

CADO-NFS/Msieve

1035208743373046528750981830792542873817112259330142302381885917408458431839915319924792084793948169686241169992921760217186794359665161731955988100275494926830152007463855039719665472294579<190>

13268292354555506055377112473833<32>

78021249133662649201010056260756443212459081834801215517983657063217652246078341944261089148602713232013125543543274882835988069853193682190413043480015720763<158>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2757967481
Step 1 took 9391ms
Step 2 took 7236ms
********** Factor found in step 2: 13268292354555506055377112473833
Found probable prime factor of 32 digits: 13268292354555506055377112473833
Composite cofactor 78021249133662649201010056260756443212459081834801215517983657063217652246078341944261089148602713232013125543543274882835988069853193682190413043480015720763 has 158 digits

GMP-ECM 6.2.1

78021249133662649201010056260756443212459081834801215517983657063217652246078341944261089148602713232013125543543274882835988069853193682190413043480015720763<158>

15268400717226145100161515277727385699655966421336676021326741162822401241<74>
5109981757659619319814358639677351949491315419508630282600029877642725468298513531443<85>

78021249133662649201010056260756443212459081834801215517983657063217652246078341944261089148602713232013125543543274882835988069853193682190413043480015720763=15268400717226145100161515277727385699655966421336676021326741162822401241*5109981757659619319814358639677351949491315419508630282600029877642725468298513531443

cado polynomial
n: 78021249133662649201010056260756443212459081834801215517983657063217652246078341944261089148602713232013125543543274882835988069853193682190413043480015720763
skew: 1.69
type: snfs
c0: -55
c5: 4
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 4*x^5-55
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12700000
tasks.lim1 = 12700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5109981757659619319814358639677351949491315419508630282600029877642725468298513531443 15268400717226145100161515277727385699655966421336676021326741162822401241
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.54/2.26578
Info:Generate Free Relations: Total cpu/real time for freerel: 98.63/25.4425
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26754352
Info:Lattice Sieving: Average J: 1900.51 for 2160481 special-q, max bucket fill -bkmult 1.0,1s:1.131510
Info:Lattice Sieving: Total time: 697086s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.33/152.917
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 152.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 437.69/529.544
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 474.50000000000006s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 346.31/479.157
Info:Filtering - Merging: Merged matrix has 2279457 rows and total weight 388856718 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 345.88/108.085
Info:Filtering - Merging: Total cpu/real time for replay: 88.53/77.0113
Info:Linear Algebra: Total cpu/real time for bwc: 91045.2/39525.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 23915.27, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (71680 iterations)
Info:Linear Algebra: Lingen CPU time 2460.6, WCT time 1215.63
Info:Linear Algebra: Mksol: WCT time 14175.18, iteration CPU time 0.34, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (35840 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 81.51/47.8759
Info:Square Root: Total cpu/real time for sqrt: 972.18/455.339
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.318e+06/78753.7
Info:root: Cleaning up computation data in /tmp/cado.2z9dlgzi
5109981757659619319814358639677351949491315419508630282600029877642725468298513531443 15268400717226145100161515277727385699655966421336676021326741162822401241

cado-nfs-3.0.0

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

8290861409515386106935702169872878120572848879926959215061862970716857417598599760158189486142746736239513138911770703308458231392341100234492215418941517847985679057747823669376911<181>

1330253104229188220920595018085380825363021507723198431830109088419897239919939<79>
6232544305408334056231136955726706102360011189005020681152664291385349152567195174414095209280471454149<103>

N=8290861409515386106935702169872878120572848879926959215061862970716857417598599760158189486142746736239513138911770703308458231392341100234492215418941517847985679057747823669376911
  ( 181 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=1330253104229188220920595018085380825363021507723198431830109088419897239919939 (pp79)
 r2=6232544305408334056231136955726706102360011189005020681152664291385349152567195174414095209280471454149 (pp103)
Version: Msieve v. 1.49
Total time:
Scaled time: 42.25 units (timescale=0.451).
Factorization parameters were as follows:
n: 8290861409515386106935702169872878120572848879926959215061862970716857417598599760158189486142746736239513138911770703308458231392341100234492215418941517847985679057747823669376911
m: 1000000000000000000000000000000000000000
deg: 5
c5: 8
c0: -11
skew: 1.07
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 11890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2089727 x 2089961
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time:

49956082738077752061311507338610423235165097514678374971719168895982409430928549332726319527554947069731007461360795351857249251476802963<137>

584631897521184211264327771703<30>
85448780591496185069139272511079480379794034535247604377701836586510272565252157696362447303206979984172421<107>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=4075465090
Step 1 took 7029ms
Step 2 took 5423ms
********** Factor found in step 2: 584631897521184211264327771703
Found probable prime factor of 30 digits: 584631897521184211264327771703
Probable prime cofactor 85448780591496185069139272511079480379794034535247604377701836586510272565252157696362447303206979984172421 has 107 digits

GMP-ECM 6.2.1

71120169284381063100842214722237239381427123973034814373333808094436114923392311031608601886144547227019667046167977737977897945791017505538922858720246244384939484862212884008925659<182>

116164497779212824996658730264763385179724118544414796668343516166713978030073<78>
612236704363454275768532185125381688657477476166456150459311893482518797399216687720687965330754418855283<105>

Number: n
N=71120169284381063100842214722237239381427123973034814373333808094436114923392311031608601886144547227019667046167977737977897945791017505538922858720246244384939484862212884008925659  ( 182 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat Mar 20 05:13:05 2021  p78 factor: 116164497779212824996658730264763385179724118544414796668343516166713978030073
Sat Mar 20 05:13:05 2021  p105 factor: 612236704363454275768532185125381688657477476166456150459311893482518797399216687720687965330754418855283
Sat Mar 20 05:13:05 2021  elapsed time 01:21:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.354).
Factorization parameters were as follows:
#
# N = 8x10^198-11 = 26(197)3
#
n: 71120169284381063100842214722237239381427123973034814373333808094436114923392311031608601886144547227019667046167977737977897945791017505538922858720246244384939484862212884008925659
m: 2000000000000000000000000000000000000000
deg: 5
c5: 250
c0: -11
skew: 0.54
# Murphy_E = 1.777e-11
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3960564 hash collisions in 29403765 relations (26990595 unique)
Msieve: matrix is 1790666 x 1790891 (622.4 MB)

Sieving start time : 2021/03/19 21:30:35
Sieving end time  : 2021/03/20 03:51:07

Total sieving time: 6hrs 20min 32secs.

Total relation processing time: 1hrs 5min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 2sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116948] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153521] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152037] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

62811531801211994515551429821963547479837131236921986427915040773481679159491695574712376593781083783192860956240577440921312387945552197386733599765561610589838339550210687818205035750781093<191>

313717114878054377798755980202587086975826619841965067<54>
200217102677447463065198469177469302460624303987216527711591102474582660420835702325188443030967339649364297958790018429743034621230142479<138>

Number: n
N=62811531801211994515551429821963547479837131236921986427915040773481679159491695574712376593781083783192860956240577440921312387945552197386733599765561610589838339550210687818205035750781093
  ( 191 digits)
SNFS difficulty: 199 digits.
Divisors found:

Thu Nov 25 01:00:54 2010  prp54 factor: 313717114878054377798755980202587086975826619841965067
Thu Nov 25 01:00:54 2010  prp138 factor: 200217102677447463065198469177469302460624303987216527711591102474582660420835702325188443030967339649364297958790018429743034621230142479
Thu Nov 25 01:00:54 2010  elapsed time 05:17:20 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_2_6_198_3
n: 62811531801211994515551429821963547479837131236921986427915040773481679159491695574712376593781083783192860956240577440921312387945552197386733599765561610589838339550210687818205035750781093
m: 2000000000000000000000000000000000000000
deg: 5
c5: 2500
c0: -11
skew: 0.34
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 32400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4329962 hash collisions in 32962429 relations
Msieve: matrix is 1818480 x 1818705 (515.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.48 BogoMIPS (lpj=2830740)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.21 BogoMIPS).

112726433940125636428787118524940793963274009638391917965592228752370601678750235844836009106604965853049538899567370037342040323090868637491092850368199760259056617837802725076995677082166438607<195>

4322686938840695483464022384761542380158663722771828405012752758025993<70>
26077862111003999691839006737445024588984377766151999649242421629081490925024087964742099626114896627114863120504355098962199<125>

Number: n
N=112726433940125636428787118524940793963274009638391917965592228752370601678750235844836009106604965853049538899567370037342040323090868637491092850368199760259056617837802725076995677082166438607
  ( 195 digits)
SNFS difficulty: 200 digits.
Divisors found:

Mon Apr 26 14:33:42 2010  prp70 factor: 4322686938840695483464022384761542380158663722771828405012752758025993
Mon Apr 26 14:33:42 2010  prp125 factor: 26077862111003999691839006737445024588984377766151999649242421629081490925024087964742099626114896627114863120504355098962199
Mon Apr 26 14:33:42 2010  elapsed time 05:32:26 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.870).
Factorization parameters were as follows:
name: KA_2_6_199_3
n: 112726433940125636428787118524940793963274009638391917965592228752370601678750235844836009106604965853049538899567370037342040323090868637491092850368199760259056617837802725076995677082166438607
m: 10000000000000000000000000000000000000000
deg: 5
c5: 8
c0: -11
skew: 1.07
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 14700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3864044 hash collisions in 32181430 relations
Msieve: matrix is 1819983 x 1820208 (514.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15600000,15600000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

2666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<202>

451812655504187553833642493151<30>

5902151332372209503609296911272406487211881024719526726349392490909514083822506333934172090530872360967046140330267742066517371414348495611729173874621014004093969936550713<172>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 2666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663 (202 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2863822186
Step 1 took 7248ms
********** Factor found in step 1: 451812655504187553833642493151
Found probable prime factor of 30 digits: 451812655504187553833642493151
Composite cofactor 5902151332372209503609296911272406487211881024719526726349392490909514083822506333934172090530872360967046140330267742066517371414348495611729173874621014004093969936550713 has 172 digits

Core 2 Quad Q6700

5902151332372209503609296911272406487211881024719526726349392490909514083822506333934172090530872360967046140330267742066517371414348495611729173874621014004093969936550713<172>

273580643647642860856750775871954330488618111943914977<54>
21573716815923068890628670737076634322588078709111039748890523177499290197492589840600056384788250934948545838966394969<119>

Number: n
N=5902151332372209503609296911272406487211881024719526726349392490909514083822506333934172090530872360967046140330267742066517371414348495611729173874621014004093969936550713  ( 172 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Dec 23 14:13:03 2021  p54 factor: 273580643647642860856750775871954330488618111943914977
Thu Dec 23 14:13:03 2021  p119 factor: 21573716815923068890628670737076634322588078709111039748890523177499290197492589840600056384788250934948545838966394969
Thu Dec 23 14:13:03 2021  elapsed time 01:42:10 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 8x10^201-11 = 26(200)3
#
n: 5902151332372209503609296911272406487211881024719526726349392490909514083822506333934172090530872360967046140330267742066517371414348495611729173874621014004093969936550713
m: 10000000000000000000000000000000000000000
deg: 5
c5: 80
c0: -11
skew: 0.67
# Murphy_E = 1.389e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10710055 hash collisions in 74708366 relations (65588919 unique)
Msieve: matrix is 2018719 x 2018946 (685.2 MB)

Sieving start time : 2021/12/22 22:56:18
Sieving end time  : 2021/12/23 12:28:46

Total sieving time: 13hrs 32min 28secs.

Total relation processing time: 1hrs 21min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

25195269898497057884669241840810328828377947656443954472324192184762136202097165008754142531094462289494306699076381319159405325777<131>

201415188784571140772764158225201932793330825827981185343627951<63>
125091211097517152943022119769861785081122193644388185231671905376127<69>

Number: 26663_202
N = 25195269898497057884669241840810328828377947656443954472324192184762136202097165008754142531094462289494306699076381319159405325777 (131 digits)
Divisors found:
r1=201415188784571140772764158225201932793330825827981185343627951 (pp63)
r2=125091211097517152943022119769861785081122193644388185231671905376127 (pp69)
Version: Msieve v. 1.47
Total time: 141.71 hours.
Factorization parameters were as follows:
# Murphy_E = 7.422751e-11, selected by Jeff Gilchrist
n: 25195269898497057884669241840810328828377947656443954472324192184762136202097165008754142531094462289494306699076381319159405325777
Y0: -14309175331798795439280238
Y1: 225804971585873
c0: -4306025713149121581349728952179
c1: 1283264949224409119402640872
c2: 3688973505535382470173
c3: -14374270857619002
c4: -20230935560
c5: 42000
skew: 397297.14
type: gnfs
# selected mechanically
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5000000, 10500000)
Relations: 19382516
Relations in full relation-set: 2678748 relations
Pruned matrix : 1555505 x 1555730
Polynomial selection time: 0.00 hours.
Total sieving time: 138.94 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.30 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10000000,10000000,28,28,54,54,2.6,2.6,100000
total time: 141.71 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

8996850008037468135257376171528157083077479324728576173500204223859155854709598444752532398099679138964810826670413605434354622435950909659097704161865876643503<160>

3720879446929733092945288618641617853329284940145586183738775244570928668994289<79>
2417936441198378080760019370607277206306832957774326060663151506533272006468199327<82>

Number: n
N=8996850008037468135257376171528157083077479324728576173500204223859155854709598444752532398099679138964810826670413605434354622435950909659097704161865876643503  ( 160 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Dec 27 15:52:44 2023  prp79 factor: 3720879446929733092945288618641617853329284940145586183738775244570928668994289
Wed Dec 27 15:52:44 2023  prp82 factor: 2417936441198378080760019370607277206306832957774326060663151506533272006468199327
Wed Dec 27 15:52:44 2023  elapsed time 02:09:36 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.110).
Factorization parameters were as follows:
#
# N = 8x10^204-11 = 26(203)3
#
n: 8996850008037468135257376171528157083077479324728576173500204223859155854709598444752532398099679138964810826670413605434354622435950909659097704161865876643503
m: 100000000000000000000000000000000000000000
deg: 5
c5: 4
c0: -55
skew: 1.69
# Murphy_E = 1.292e-11
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3363343 hash collisions in 20412189 relations (17558982 unique)
Msieve: matrix is 2045271 x 2045496 (576.5 MB)

Sieving start time: 2023/12/26 22:21:15
Sieving end time  : 2023/12/27 13:42:42

Total sieving time: 15hrs 21min 27secs.

Total relation processing time: 2hrs 2min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 46sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18700000,18700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1222803706580959729837085873353148692277788637852716313294164765791122996082255353485926159214829374868423813612710623428195409104075875759310779785101714090935036308102655544924880329<184>

1322582335037460280428651287594990057549239396469<49>
924557718779999839041486187982214382812250968879358913660356101408192596761513154129263013227952740205890361689386537932192947640087941<135>

#
# N = 8x10^205-11 = 26(204)3
#
n: 1222803706580959729837085873353148692277788637852716313294164765791122996082255353485926159214829374868423813612710623428195409104075875759310779785101714090935036308102655544924880329
m: 100000000000000000000000000000000000000000
deg: 5
c5: 8
c0: -11
skew: 1.07
# Murphy_E = 1.223e-11
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1222803706580959729837085873353148692277788637852716313294164765791122996082255353485926159214829374868423813612710623428195409104075875759310779785101714090935036308102655544924880329 (184 digits)
Using B1=44650000, B2=240492041806, polynomial Dickson(12), sigma=1:1920716139
Step 1 took 119564ms
Step 2 took 39289ms
********** Factor found in step 2: 1322582335037460280428651287594990057549239396469
Found prime factor of 49 digits: 1322582335037460280428651287594990057549239396469
Prime cofactor 924557718779999839041486187982214382812250968879358913660356101408192596761513154129263013227952740205890361689386537932192947640087941 has 135 digits

1029582635447360393842490032057713664795132096396274477718174110632060910748217728196318683137682367952416968629023202632719773525474478060371858053840571727873848946196714194148844737212933553063<196>

102691112292321421026744306203259785949517510555362990171169952693<66>
10026015031530103915810274165778471049018318950738762997713377025591118801846160784505696198408736336307853901564144123845696906091<131>

Number: n
N=1029582635447360393842490032057713664795132096396274477718174110632060910748217728196318683137682367952416968629023202632719773525474478060371858053840571727873848946196714194148844737212933553063
  ( 196 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Jun 19 19:11:09 2021  p66 factor: 102691112292321421026744306203259785949517510555362990171169952693
Sat Jun 19 19:11:09 2021  p131 factor: 10026015031530103915810274165778471049018318950738762997713377025591118801846160784505696198408736336307853901564144123845696906091
Sat Jun 19 19:11:09 2021  elapsed time 02:24:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 8x10^206-11 = 26(205)3
#
n: 1029582635447360393842490032057713664795132096396274477718174110632060910748217728196318683137682367952416968629023202632719773525474478060371858053840571727873848946196714194148844737212933553063
m: 100000000000000000000000000000000000000000
deg: 5
c5: 80
c0: -11
skew: 0.67
# Murphy_E = 8.557e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 37050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8291814 hash collisions in 56005433 relations (49674144 unique)
Msieve: matrix is 2520920 x 2521145 (877.3 MB)

Sieving start time : 2021/06/19 02:57:40
Sieving end time  : 2021/06/19 16:45:58

Total sieving time: 13hrs 48min 18secs.

Total relation processing time: 2hrs 6min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 17sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118509] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239976K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487260K reserved, 0K cma-reserved)
[    0.154060] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798688)
[    0.150212] smpboot: Total of 16 processors activated (102389.50 BogoMIPS)

14779330593917225257510224045941730511958190210596857322164952334830624835905081848615118541260460005681484480213987891896104812788514084436818151757<149>

205629533691795060051312511051194605910602841737<48>
71873579288804970234059805519406575367786707831053997886087700836300645583917736311836150636391703461<101>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3802915688
Step 1 took 61360ms
********** Factor found in step 1: 205629533691795060051312511051194605910602841737
Found probable prime factor of 48 digits: 205629533691795060051312511051194605910602841737

758437398807856447510347541016778474082200163537368316419255623279156545967431146302242929697449177888581936200660428750127643073216670576644464342359682414921264122776435798911<177>

1516274409726230556092800099348711085023<40>

500197981277541557064333810411398310045435645847208580389320838138426339158703350894982158688186058610648900564889628180902040841792476257<138>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=481223327
Step 1 took 83609ms
Step 2 took 29208ms
********** Factor found in step 2: 1516274409726230556092800099348711085023
Found probable prime factor of 40 digits: 1516274409726230556092800099348711085023

500197981277541557064333810411398310045435645847208580389320838138426339158703350894982158688186058610648900564889628180902040841792476257<138>

1902738395368906627854363238218944332808248319031050503040539<61>
262883212161471203058538342638410122128480337973390796276658827700842851155763<78>

Number: 26663_209
N = 500197981277541557064333810411398310045435645847208580389320838138426339158703350894982158688186058610648900564889628180902040841792476257 (138 digits)
Divisors found:
r1=1902738395368906627854363238218944332808248319031050503040539 (pp61)
r2=262883212161471203058538342638410122128480337973390796276658827700842851155763 (pp78)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 146.02 hours.
Factorization parameters were as follows:
# Murphy_E = 2.767e-11, selected by Erik Branger
# expecting poly E from 2.83e-011 to > 3.26e-011
n: 500197981277541557064333810411398310045435645847208580389320838138426339158703350894982158688186058610648900564889628180902040841792476257
Y0: -831294133472653395177455947
Y1: 264338428136849
c0: -14511594003854230468099317500471160
c1: 93396457856439051781189906236
c2: 192912115485748588595354
c3: 29705750779741039
c4: -19969693254
c5: 1260
skew: 2908149.62
type: gnfs
# selected mechanically
rlim: 15800000
alim: 15800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23174978
Relations: 3750668 relations
Pruned matrix : 2308178 x 2308404
Polynomial selection time: 0.00 hours.
Total sieving time: 141.58 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.00 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15800000,15800000,28,28,55,55,2.6,2.6,100000
total time: 146.02 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

90447602573234293208515641782270008705581747673800721319630521543488337912243213603319427014437698560752524053409309319494850139628486472430440140646022001379325939241822971429863537179617632760121652025461<206>

929132120021796619886428505782998112814615318933175415949<57>
44145114743312154873183058562580951343195240611357987319600411<62>
2205143903602810371783111467966687171304515746635433724985423723874419360276898198099499<88>

Number: n
N=90447602573234293208515641782270008705581747673800721319630521543488337912243213603319427014437698560752524053409309319494850139628486472430440140646022001379325939241822971429863537179617632760121652025461
  ( 206 digits)
SNFS difficulty: 210 digits.
Divisors found:

Wed Jan 15 18:14:35 2020  found factor: 44145114743312154873183058562580951343195240611357987319600411
Wed Jan 15 18:17:35 2020  p57 factor: 929132120021796619886428505782998112814615318933175415949
Wed Jan 15 18:17:35 2020  p62 factor: 44145114743312154873183058562580951343195240611357987319600411
Wed Jan 15 18:17:35 2020  p88 factor: 2205143903602810371783111467966687171304515746635433724985423723874419360276898198099499
Wed Jan 15 18:17:35 2020  elapsed time 02:57:31 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.131).
Factorization parameters were as follows:
#
# N = 8x10^210-11 = 26(209)3
#
n: 90447602573234293208515641782270008705581747673800721319630521543488337912243213603319427014437698560752524053409309319494850139628486472430440140646022001379325939241822971429863537179617632760121652025461
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 8
c0: -11
skew: 1.07
# Murphy_E = 7.509e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 37100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10838070 hash collisions in 71239429 relations (63274735 unique)
Msieve: matrix is 2630347 x 2630575 (906.0 MB)

Sieving start time: 2020/01/14 23:52:56
Sieving end time  : 2020/01/15 15:18:07

Total sieving time: 15hrs 25min 11secs.

Total relation processing time: 2hrs 31min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 58sec.

Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

1809327297860077870702252681408402081475904550322744253658681850142036602085601552591032610370161587575796951904671181077712474624778561237708588902655990577597822525683380653289<178>

27899897434616642465054868835963<32>

64850679186195326141154685086677979535745142057254953461094143512320324662508743760949033206755497974435445187779893323458008240605605948670125803<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=705294352
Step 1 took 31104ms
Step 2 took 11263ms
********** Factor found in step 2: 27899897434616642465054868835963
Found probable prime factor of 32 digits: 27899897434616642465054868835963

64850679186195326141154685086677979535745142057254953461094143512320324662508743760949033206755497974435445187779893323458008240605605948670125803<146>

8427112092031902562663452508281822005773736189231113<52>
7695480786058804993423843174244095998398193642031843479936684422798366863986533178316760450131<94>

Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7613.59
Info:Polynomial Selection (root optimized): Rootsieve time: 7611.79
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78275/43.480/52.562/58.340/0.899
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63728/42.710/47.172/53.310/1.244
Info:Polynomial Selection (size optimized): Total time: 57361.1
Info:Generate Factor Base: Total cpu/real time for makefb: 28.38/1.01909
Info:Linear Algebra: Total cpu/real time for bwc: 1.30707e+06/29355.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 842443.72, WCT time 18775.09, iteration CPU time 0.11, COMM 0.02, cpu-wait 0.04, comm-wait 0.0 (114176 iterations)
Info:Linear Algebra: Lingen CPU time 34416.59, WCT time 594.34
Info:Linear Algebra: Mksol: CPU time 424490.98,  WCT time 9749.33, iteration CPU time 0.11, COMM 0.02, cpu-wait 0.04, comm-wait 0.0 (57344 iterations)
Info:Filtering - Merging: Total cpu/real time for merge: 3120.28/81.8079
Info:Filtering - Merging: Total cpu/real time for replay: 151.37/126.304
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49864335
Info:Lattice Sieving: Average J: 3917.76 for 1278794 special-q, max bucket fill -bkmult 1.0,1s:1.219180
Info:Lattice Sieving: Total time: 1.73836e+06s
Info:Quadratic Characters: Total cpu/real time for characters: 183.44/27.4043
Info:Square Root: Total cpu/real time for sqrt: 10199.3/416.782
Info:Generate Free Relations: Total cpu/real time for freerel: 1101.59/21.7091
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 156.48/187.974
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 187.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.81145e+06/86405.6
7695480786058804993423843174244095998398193642031843479936684422798366863986533178316760450131 8427112092031902562663452508281822005773736189231113

real    1440m8.223s
user    0m9.042s
sys     0m5.013s

cado-nfs-3.0.0-dev, git revision 3dc7496d1fd72bc5f0be34bc7dcbd839e41efa82, containerized

AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

22318676564828902209704917432364986433485885532003083827102508829384873110287934702489026808436090938811975313468314805454879338086539797382832702491528605157458907<164>

952685695077613576166264670088173424746543331<45>

23427114189019748111405885479433166403092018708407236914243293784589821892366020443095719104058514117303462624557961897<119>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1287521113
Step 1 took 71271ms
Step 2 took 26083ms
********** Factor found in step 2: 952685695077613576166264670088173424746543331
Found probable prime factor of 45 digits: 952685695077613576166264670088173424746543331
Composite cofactor 23427114189019748111405885479433166403092018708407236914243293784589821892366020443095719104058514117303462624557961897 has 119 digits

23427114189019748111405885479433166403092018708407236914243293784589821892366020443095719104058514117303462624557961897<119>

1398818899371312520183274074414408701082278841538607511<55>
16747782146458608088282553553842303748391156335503556292899528127<65>

N=23427114189019748111405885479433166403092018708407236914243293784589821892366020443095719104058514117303462624557961897
  ( 119 digits)
Divisors found:
 r1=1398818899371312520183274074414408701082278841538607511 (pp55)
 r2=16747782146458608088282553553842303748391156335503556292899528127 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 51.77 hours.
Scaled time: 44.83 units (timescale=0.866).
Factorization parameters were as follows:
n: 23427114189019748111405885479433166403092018708407236914243293784589821892366020443095719104058514117303462624557961897
skew: 457455.58
c0: 1498568388715431670177614892000
c1: -934679715296569862365532
c2: -32461536598641922815
c3: -22774633898677
c4: 63774317
c5: 156
Y0: -171916904882619729615561
Y1: 1237042925653
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2450000, 4050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 522055 x 522289
Total sieving time: 50.29 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 0.60 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4900000,4900000,27,27,54,54,2.5,2.5,100000
total time: 51.77 hours.
 --------- CPU info (if available) ----------

206211319876065639123034558469906037656016262110522491899603712511470271271748927977339768810447684191717379257546221188127200120092714702873611705522226932860983248028414561417745511<183>

3363257262388492367838499760546124036255627894807387036020184577402134097173506184885503699124554875501887889565024552686881543336683044648431294155985472081<157>

77458146368518994243648468357802080051533476793990371618619136757359150036572763533751413722061511726877011318846982588522034284609191987609161973977698151448200823216370758533597<179>

349635982934175034588128055748259569052162691109134841020195489265029342933961035073704799191862976660355945443524429322582985669152401047000978374430738084253867635081240068003497901834528575346347753<201>

35978563857139329991165008517561369<35>
9717897143490227447212335261611727443567486523131918308750516835044188679567974091561837834397298963275916929712609991915159123475795123138352325697468868881100505937<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1082215989
Step 1 took 26505ms
Step 2 took 8593ms
********** Factor found in step 2: 35978563857139329991165008517561369
Found probable prime factor of 35 digits: 35978563857139329991165008517561369

2888877710451706172940747450769284842690893935659011123277303602245368489480465162418849827282258069173110209496667748134751970691229037339559443030196695999299805897244893941377231<181>

40238566616984036495450131084901227998359<41>
71793752942291896968902755194207538870943068788176922499681331485853618265700241184559571941307138896016982148511736207293337157207118288009<140>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1527842748
Step 1 took 83979ms
Step 2 took 29238ms
********** Factor found in step 2: 40238566616984036495450131084901227998359
Found probable prime factor of 41 digits: 40238566616984036495450131084901227998359

6078158454442578750233570551625256091736066905262063250044362860655008657720705203439408742388837552648925382653047020146949404081851593561362740982742965619952911<163>

94163126172519137796484993535293754667387311147<47>
64549242378663162793153995271802897015861507032692170479804412709006822507158882009287037569776090090418809334564013<116>

Number: 26663_220
N = 6078158454442578750233570551625256091736066905262063250044362860655008657720705203439408742388837552648925382653047020146949404081851593561362740982742965619952911 (163 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=94163126172519137796484993535293754667387311147 (pp47)
r2=64549242378663162793153995271802897015861507032692170479804412709006822507158882009287037569776090090418809334564013 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 23.57 hours.
Factorization parameters were as follows:
n: 6078158454442578750233570551625256091736066905262063250044362860655008657720705203439408742388837552648925382653047020146949404081851593561362740982742965619952911
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8
c0: -11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30013006
Relations: 6868902 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 10.75 hours.
Total relation processing time: 0.23 hours.
Pruned matrix : 6132779 x 6133004
Matrix solve time: 12.39 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 23.57 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

57556832929840194885714463095678069990706307319504557331460385645032936156790517181591263452934470899077929805431034617329836304829651328877558727373629418473023762194890655055180702973806257507282585411523<206>

872414427759090001360310476479196031560429655237618559413<57>
65974187379824071728491062903206143866799969017064410095326717677797590519398566698092585817536839051207141262606886014730687330769728226161313656471<149>

Number: n
N=57556832929840194885714463095678069990706307319504557331460385645032936156790517181591263452934470899077929805431034617329836304829651328877558727373629418473023762194890655055180702973806257507282585411523  ( 206 digits)
SNFS difficulty: 222 digits.
Divisors found:

Mon Jul  6 04:47:32 2020  p57 factor: 872414427759090001360310476479196031560429655237618559413
Mon Jul  6 04:47:32 2020  p149 factor: 65974187379824071728491062903206143866799969017064410095326717677797590519398566698092585817536839051207141262606886014730687330769728226161313656471
Mon Jul  6 04:47:32 2020  elapsed time 13:11:25 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.039).
Factorization parameters were as follows:
#
# N = 8x10^221-11 = 26(220)3
#
n: 57556832929840194885714463095678069990706307319504557331460385645032936156790517181591263452934470899077929805431034617329836304829651328877558727373629418473023762194890655055180702973806257507282585411523
m: 10000000000000000000000000000000000000
deg: 6
c6: 4
c0: -55
skew: 1.55
# Murphy_E = 1.85e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 115600000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10645510 hash collisions in 59909072 relations (51253686 unique)
Msieve: matrix is 5240611 x 5240836 (1833.7 MB)

Sieving start time: 2020/07/03 05:12:04
Sieving end time  : 2020/07/05 15:35:06

Total sieving time: 58hrs 23min 2secs.

Total relation processing time: 12hrs 11min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 39min 45sec.

Prototype def-par.txt line would be:
snfs,222,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149789] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283132K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420328K reserved, 0K cma-reserved)
[    0.184561] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.43 BogoMIPS (lpj=11976876)
[    0.182228] smpboot: Total of 16 processors activated (95815.00 BogoMIPS)

315018572079250262279078485650142349696468819702237951290540983617158376502616931776625704883951966858932654418568754503219060481760662522434938330252645489349235252122863514510334162623728064616921531<201>

5274985497722215823983169250148760165997101759729<49>

59719324766916988726428160208820998173996890440316926336426845108534162086574228697811654368050943649908689184052477351626601394415997936920355253784939<152>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4055856312
Step 1 took 114372ms
Step 2 took 32690ms
********** Factor found in step 2: 5274985497722215823983169250148760165997101759729
Found probable prime factor of 49 digits: 5274985497722215823983169250148760165997101759729

59719324766916988726428160208820998173996890440316926336426845108534162086574228697811654368050943649908689184052477351626601394415997936920355253784939<152>

16679751593753419659727857348229196474576335936259512155059<59>
3580348570015990149110585274782917307289642069178012425545676984977448970861714948695946729321<94>

Number: 26663_223
N = 59719324766916988726428160208820998173996890440316926336426845108534162086574228697811654368050943649908689184052477351626601394415997936920355253784939 (152 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=16679751593753419659727857348229196474576335936259512155059 (pp59)
r2=3580348570015990149110585274782917307289642069178012425545676984977448970861714948695946729321 (pp94)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.59 hours.
Factorization parameters were as follows:
n: 59719324766916988726428160208820998173996890440316926336426845108534162086574228697811654368050943649908689184052477351626601394415997936920355253784939
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 8000
c0: -11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30715373
Relations: 10638724 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.30 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 9104960 x 9105185
Matrix solve time: 29.80 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 49.59 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

731582137222351144586243839520967432918184463738568973001293664908709799648515202740344546075748597744715900012808847343943883634496758125629810568314750931297765737132023735285353<180>

18413148557780431205410216389534008737<38>

39731506804859991704337974242664737478511019173109526947141656618478835815601891824814667046869858496335241423748987465553061432346051783322569<143>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=442172310
Step 1 took 83654ms
Step 2 took 29188ms
********** Factor found in step 2: 18413148557780431205410216389534008737
Found probable prime factor of 38 digits: 18413148557780431205410216389534008737

39731506804859991704337974242664737478511019173109526947141656618478835815601891824814667046869858496335241423748987465553061432346051783322569<143>

2935675258835606493973656528201119447442737<43>
13534026519206666030796108451984755460878604063859241135296174467755204375483154560745657653710694937<101>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2168140997
Step 1 took 60250ms
Step 2 took 23044ms
********** Factor found in step 2: 2935675258835606493973656528201119447442737
Found probable prime factor of 43 digits: 2935675258835606493973656528201119447442737

208519182949019232679615337344309802587291275072406194532210449098144224051704068405816403329467088197184858970848450093898227050760182958301425135765357136154032780389467<171>

106906623548625603501543669743057<33>
1950479549605979160520447240487409898343387856258198866994102580982877709312759482808525552764309108331071352832862856467460001007131457131<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=697978204
Step 1 took 26778ms
Step 2 took 10310ms
********** Factor found in step 2: 106906623548625603501543669743057
Found probable prime factor of 33 digits: 106906623548625603501543669743057

60888283195588167736105047748047492949180569404437005154595796279169225620447286500454242195261656600779326033118919734570955275278009945435855505415398960242601996910554388176214494041317721909363127943081310160863244183<221>

6250867509773770193549384778248568803<37>
9740773276730643902126018080073647119974913859445898805473457404982759966779903680185601851398690002473135774119960286424088692260864976176966210530825204495565369824229565200901142461<184>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2963007470
Step 1 took 37253ms
Step 2 took 10981ms
********** Factor found in step 2: 6250867509773770193549384778248568803
Found probable prime factor of 37 digits: 6250867509773770193549384778248568803

266666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666663<231>

30995593043732406726062633244470218103<38>

8603373592188426061628048365078943888636746247072096267195039613168544901412688859536202509185459717599801431676157259399109772827153050115169084513080138728070984326409853127844448247062845521<193>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2745019837
Step 1 took 32131ms
Step 2 took 10847ms
********** Factor found in step 2: 30995593043732406726062633244470218103
Found probable prime factor of 38 digits: 30995593043732406726062633244470218103

8603373592188426061628048365078943888636746247072096267195039613168544901412688859536202509185459717599801431676157259399109772827153050115169084513080138728070984326409853127844448247062845521<193>

1665208025213100598951469827708961823347<40>

5166545838071752055737741449266026780530247875128085068502617144950206919194134462296412861709862043393541476130395162887276190043789256871139338904812843<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3844262256
Step 1 took 102783ms
Step 2 took 33279ms
********** Factor found in step 2: 1665208025213100598951469827708961823347
Found probable prime factor of 40 digits: 1665208025213100598951469827708961823347

5166545838071752055737741449266026780530247875128085068502617144950206919194134462296412861709862043393541476130395162887276190043789256871139338904812843<154>

3068680137155913997044752274207606732431506099861922777779968541748533<70>
1683637787957972942242050560080982102984155757721634913557681970751346014718872399071<85>

Number: 26663_230
N = 5166545838071752055737741449266026780530247875128085068502617144950206919194134462296412861709862043393541476130395162887276190043789256871139338904812843 (154 digits)
Divisors found:
r1=3068680137155913997044752274207606732431506099861922777779968541748533 (pp70)
r2=1683637787957972942242050560080982102984155757721634913557681970751346014718872399071 (pp85)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 256.42 hours.
Factorization parameters were as follows:
n: 5166545838071752055737741449266026780530247875128085068502617144950206919194134462296412861709862043393541476130395162887276190043789256871139338904812843
# norm 5.675508e-15 alpha -7.484263 e 2.755e-12 rroots 5
skew: 55826635.27
c0: 131892354311813194693627546346487345190620
c1: 5169526995739319324549947562399056
c2: -370644408950787611176443831
c3: -3287534640039914736
c4: 137826847294
c5: 528
Y0: -1578021146091521350835930619883
Y1: 31614151614320353
type: gnfs
Factor base limits: 25700000/25700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 57070256
Relations: 6348622 relations
Pruned matrix : 4399042 x 4399269
Polynomial selection time: 1.39 hours.
Total sieving time: 244.75 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 9.20 hours.
time per square root: 0.61 hours.
Prototype def-par.txt line would be: gnfs,153,5,65,2000,1e-05,0.28,250,20,50000,3600,25700000,25700000,29,29,58,58,2.6,2.6,100000
total time: 256.42 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

33308908804756267284402114709840132985212282021836754557315824459073677015491047466286723281303017443989486237197716114038666310478941353313096258169712657669563562516804483462100269344420837426385127<200>

1544772538835769552724967887180305182268990784835105851581055129846975437964096786605748237056168647923790376776085853024198094197987225990309355690593829480797358280226895574091819106880362156603592628610011<208>

1857576679984173974463433615464023692811053187<46>

831606337160159964892127636677652667022072478619001413899730008117650512949054694709425346110962732901459886071927737108622741624086368490301385717688473090705353<162>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=497786987
Step 1 took 110724ms
Step 2 took 38528ms
********** Factor found in step 2: 1857576679984173974463433615464023692811053187
Found probable prime factor of 46 digits: 1857576679984173974463433615464023692811053187

350198023417763300764439169460191210619820351198775439822151934009788568421344297442563721684644418903501858170659006594841422950422672650027930931822938747066929441374119525543610502750713078231457904245616431491431<216>