55072823162700645717392882361863966596797818944233425372190155582386502037618509820239844685329597527<101>

50970031012402836704852021263665414998443<41>
1080494205493017112862343898915962169212827499405439214582789<61>

SNFS difficulty: 111 digits.
Divisors found:
 r1=50970031012402836704852021263665414998443 (pp41)
 r2=1080494205493017112862343898915962169212827499405439214582789 (pp61)
Version: Msieve v. 1.43 SVN74
Total time: 0.68 hours.
Scaled time: 1.63 units (timescale=2.400).
Factorization parameters were as follows:
n: 55072823162700645717392882361863966596797818944233425372190155582386502037618509820239844685329597527
m: 5000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [312500, 562501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 52609 x 52834
Total sieving time: 0.65 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.68 hours.

68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<110>

449061934552096085392042792527494669801996839<45>
153406208784095962906433077939688161815955308844860423263872277479<66>

Number: s110-2
N=68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
  ( 110 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=449061934552096085392042792527494669801996839 (pp45)
 r2=153406208784095962906433077939688161815955308844860423263872277479 (pp66)
Version: Msieve-1.40
Total time: 0.65 hours.
Scaled time: 1.27 units (timescale=1.963).
Factorization parameters were as follows:
n: 68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
m: 10000000000000000000000
deg: 5
c5: 31
c0: -355
skew: 1.63
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 52311 x 52536
Total sieving time: 0.63 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,111.000,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.65 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

4309993074247592131456495093979585021239721431404665412061236285630073614776160187259377400441674897<100>

3816895807268228595866518144384814798429514241609<49>
1129188034433739419733408412782832185204350656820233<52>

Number: 68881_112
N=4309993074247592131456495093979585021239721431404665412061236285630073614776160187259377400441674897
  ( 100 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=3816895807268228595866518144384814798429514241609 (pp49)
 r2=1129188034433739419733408412782832185204350656820233 (pp52)
Version: Msieve v. 1.44
Total time: 4.65 hours.
Scaled time: 7.00 units (timescale=1.506).
Factorization parameters were as follows:
n: 4309993074247592131456495093979585021239721431404665412061236285630073614776160187259377400441674897
m: 20000000000000000000000
deg: 5
c5: 775
c0: -284
skew: 0.82
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 880001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85536 x 85784
Total sieving time: 4.61 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 4.65 hours.
 --------- CPU info (if available) ----------
[    0.029439] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.101689] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2043420k/2096800k available (7091k kernel code, 452k absent, 52268k reserved, 3271k data, 540k init)
[    0.000999] Calibrating delay loop (skipped), value calculated using timer frequency.. 3990.57 BogoMIPS (lpj=1995288)
[    0.000999] Calibrating delay using timer specific routine.. 3989.82 BogoMIPS (lpj=1994913)
[    0.102027] Total of 2 processors activated (7980.40 BogoMIPS).

GGNFS + Msieve

Core 2 Duo T7200, 2 GB RAM

376288069942023829358484742165211582188070402933623984293152981154661636109865271533852082635446909121112441<108>

60874828950569996693918573606471<32>
6181340899496695595754737044042673115580750936683073986286488159140340843071<76>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=2871096336
Step 1 took 4636ms
Step 2 took 2768ms
********** Factor found in step 2: 60874828950569996693918573606471
Found probable prime factor of 32 digits: 60874828950569996693918573606471
Probable prime cofactor has 76 digits

68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<119>

3038209372850070299895662480934267163<37>
22674174302959870778545300248598034085760547885859190102759989856304629514396173987<83>

Number: snfs119
N=68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
  ( 119 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=3038209372850070299895662480934267163 (pp37)
 r2=22674174302959870778545300248598034085760547885859190102759989856304629514396173987 (pp83)
Version: Msieve-1.40
Total time: 1.91 hours.
Scaled time: 3.75 units (timescale=1.963).
Factorization parameters were as follows:
n: 68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
m: 500000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [365000, 815001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82546 x 82776
Total sieving time: 1.87 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.91 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

7264411902712037064371078921236694765958027268481835393958066954761270532172238326642527264043720097080630747<109>

21679127389566080283674645480303460667<38>
335087836893671128683748066753771626945672527368526518443982836779830241<72>

Number: 68881_120
N=7264411902712037064371078921236694765958027268481835393958066954761270532172238326642527264043720097080630747
  ( 109 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=21679127389566080283674645480303460667
 r2=335087836893671128683748066753771626945672527368526518443982836779830241
Version: 
Total time: 0.99 hours.
Scaled time: 2.34 units (timescale=2.375).
Factorization parameters were as follows:
n: 7264411902712037064371078921236694765958027268481835393958066954761270532172238326642527264043720097080630747
m: 1000000000000000000000000
deg: 5
c5: 62
c0: -71
skew: 1.03
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [270000, 630001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 1298818
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83780 x 84026
Total sieving time: 0.89 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,540000,540000,25,25,46,46,2.2,2.2,30000
total time: 0.99 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

9822905886526234428677805540972954060517545347969510161922102565209757680436219137596506619<91>

15339977635830331306565193967618163<35>
640346819253660171166999735090684748846178296261435303513<57>

Mon Oct 19 19:42:02 2009  Msieve v. 1.42
Mon Oct 19 19:42:02 2009  random seeds: a5d802e6 78b647cf
Mon Oct 19 19:42:02 2009  factoring 9822905886526234428677805540972954060517545347969510161922102565209757680436219137596506619 (91 digits)
Mon Oct 19 19:42:03 2009  searching for 15-digit factors
Mon Oct 19 19:42:03 2009  commencing quadratic sieve (91-digit input)
Mon Oct 19 19:42:03 2009  using multiplier of 19
Mon Oct 19 19:42:03 2009  using 64kb Opteron sieve core
Mon Oct 19 19:42:03 2009  sieve interval: 18 blocks of size 65536
Mon Oct 19 19:42:03 2009  processing polynomials in batches of 6
Mon Oct 19 19:42:03 2009  using a sieve bound of 1753547 (65869 primes)
Mon Oct 19 19:42:03 2009  using large prime bound of 177108247 (27 bits)
Mon Oct 19 19:42:03 2009  using double large prime bound of 702796695147472 (42-50 bits)
Mon Oct 19 19:42:03 2009  using trial factoring cutoff of 50 bits
Mon Oct 19 19:42:03 2009  polynomial 'A' values have 12 factors
Mon Oct 19 20:49:59 2009  66216 relations (17589 full + 48627 combined from 792474 partial), need 65965
Mon Oct 19 20:49:59 2009  begin with 810063 relations
Mon Oct 19 20:50:00 2009  reduce to 163501 relations in 11 passes
Mon Oct 19 20:50:00 2009  attempting to read 163501 relations
Mon Oct 19 20:50:01 2009  recovered 163501 relations
Mon Oct 19 20:50:01 2009  recovered 141320 polynomials
Mon Oct 19 20:50:01 2009  attempting to build 66216 cycles
Mon Oct 19 20:50:01 2009  found 66216 cycles in 5 passes
Mon Oct 19 20:50:01 2009  distribution of cycle lengths:
Mon Oct 19 20:50:01 2009     length 1 : 17589
Mon Oct 19 20:50:01 2009     length 2 : 12626
Mon Oct 19 20:50:01 2009     length 3 : 11681
Mon Oct 19 20:50:01 2009     length 4 : 8758
Mon Oct 19 20:50:01 2009     length 5 : 6231
Mon Oct 19 20:50:01 2009     length 6 : 3920
Mon Oct 19 20:50:01 2009     length 7 : 2420
Mon Oct 19 20:50:01 2009     length 9+: 2991
Mon Oct 19 20:50:01 2009  largest cycle: 18 relations
Mon Oct 19 20:50:01 2009  matrix is 65869 x 66216 (17.0 MB) with weight 3932079 (59.38/col)
Mon Oct 19 20:50:01 2009  sparse part has weight 3932079 (59.38/col)
Mon Oct 19 20:50:02 2009  filtering completed in 3 passes
Mon Oct 19 20:50:02 2009  matrix is 61735 x 61799 (16.0 MB) with weight 3687676 (59.67/col)
Mon Oct 19 20:50:02 2009  sparse part has weight 3687676 (59.67/col)
Mon Oct 19 20:50:02 2009  saving the first 48 matrix rows for later
Mon Oct 19 20:50:02 2009  matrix is 61687 x 61799 (9.7 MB) with weight 2816849 (45.58/col)
Mon Oct 19 20:50:02 2009  sparse part has weight 1926080 (31.17/col)
Mon Oct 19 20:50:02 2009  matrix includes 64 packed rows
Mon Oct 19 20:50:02 2009  using block size 21845 for processor cache size 512 kB
Mon Oct 19 20:50:02 2009  commencing Lanczos iteration
Mon Oct 19 20:50:02 2009  memory use: 9.4 MB
Mon Oct 19 20:50:23 2009  lanczos halted after 977 iterations (dim = 61685)
Mon Oct 19 20:50:23 2009  recovered 17 nontrivial dependencies
Mon Oct 19 20:50:23 2009  prp35 factor: 15339977635830331306565193967618163
Mon Oct 19 20:50:23 2009  prp57 factor: 640346819253660171166999735090684748846178296261435303513
Mon Oct 19 20:50:23 2009  elapsed time 01:08:21

34248030881724345791926751354933118415888088772687415035676269296160679100087812980319<86>

27413652247099964745959987129<29>
1249305658838193522558789938622451015178573054392034321111<58>

Sun Oct 25 17:00:39 2009  Msieve v. 1.43
Sun Oct 25 17:00:39 2009  random seeds: 312f2c38 e5b608c2
Sun Oct 25 17:00:39 2009  factoring 34248030881724345791926751354933118415888088772687415035676269296160679100087812980319 (86 digits)
Sun Oct 25 17:00:40 2009  searching for 15-digit factors
Sun Oct 25 17:00:41 2009  commencing quadratic sieve (86-digit input)
Sun Oct 25 17:00:41 2009  using multiplier of 1
Sun Oct 25 17:00:41 2009  using 64kb Pentium 4 sieve core
Sun Oct 25 17:00:41 2009  sieve interval: 8 blocks of size 65536
Sun Oct 25 17:00:41 2009  processing polynomials in batches of 13
Sun Oct 25 17:00:41 2009  using a sieve bound of 1461403 (55559 primes)
Sun Oct 25 17:00:41 2009  using large prime bound of 116912240 (26 bits)
Sun Oct 25 17:00:41 2009  using double large prime bound of 332772803587280 (41-49 bits)
Sun Oct 25 17:00:41 2009  using trial factoring cutoff of 49 bits
Sun Oct 25 17:00:41 2009  polynomial 'A' values have 11 factors
Sun Oct 25 17:52:41 2009  55902 relations (16079 full + 39823 combined from 580400 partial), need 55655
Sun Oct 25 17:52:43 2009  begin with 596479 relations
Sun Oct 25 17:52:44 2009  reduce to 132644 relations in 9 passes
Sun Oct 25 17:52:44 2009  attempting to read 132644 relations
Sun Oct 25 17:52:48 2009  recovered 132644 relations
Sun Oct 25 17:52:48 2009  recovered 108900 polynomials
Sun Oct 25 17:52:48 2009  attempting to build 55902 cycles
Sun Oct 25 17:52:48 2009  found 55902 cycles in 5 passes
Sun Oct 25 17:52:48 2009  distribution of cycle lengths:
Sun Oct 25 17:52:48 2009     length 1 : 16079
Sun Oct 25 17:52:48 2009     length 2 : 11136
Sun Oct 25 17:52:48 2009     length 3 : 9863
Sun Oct 25 17:52:48 2009     length 4 : 7144
Sun Oct 25 17:52:48 2009     length 5 : 4967
Sun Oct 25 17:52:48 2009     length 6 : 3039
Sun Oct 25 17:52:48 2009     length 7 : 1735
Sun Oct 25 17:52:48 2009     length 9+: 1939
Sun Oct 25 17:52:48 2009  largest cycle: 18 relations
Sun Oct 25 17:52:49 2009  matrix is 55559 x 55902 (12.1 MB) with weight 2954402 (52.85/col)
Sun Oct 25 17:52:49 2009  sparse part has weight 2954402 (52.85/col)
Sun Oct 25 17:52:50 2009  filtering completed in 3 passes
Sun Oct 25 17:52:50 2009  matrix is 50604 x 50668 (11.1 MB) with weight 2695723 (53.20/col)
Sun Oct 25 17:52:50 2009  sparse part has weight 2695723 (53.20/col)
Sun Oct 25 17:52:50 2009  saving the first 48 matrix rows for later
Sun Oct 25 17:52:50 2009  matrix is 50556 x 50668 (6.1 MB) with weight 1989485 (39.27/col)
Sun Oct 25 17:52:50 2009  sparse part has weight 1292326 (25.51/col)
Sun Oct 25 17:52:50 2009  matrix includes 64 packed rows
Sun Oct 25 17:52:50 2009  using block size 20267 for processor cache size 512 kB
Sun Oct 25 17:52:50 2009  commencing Lanczos iteration
Sun Oct 25 17:52:50 2009  memory use: 7.0 MB
Sun Oct 25 17:53:10 2009  lanczos halted after 801 iterations (dim = 50550)
Sun Oct 25 17:53:11 2009  recovered 15 nontrivial dependencies
Sun Oct 25 17:53:11 2009  prp29 factor: 27413652247099964745959987129
Sun Oct 25 17:53:11 2009  prp58 factor: 1249305658838193522558789938622451015178573054392034321111
Sun Oct 25 17:53:11 2009  elapsed time 00:52:32

Msieve

1204983188540998581229471556566186616912522107554467183643324976191864419956076419256408761393893456163877713641575807047208131693<130>

14196147689937141374294318249731425936067<41>
84880998342609810093756094165793232255873270007284083264233059727258303257959873758507279<89>

Number: s130
N=1204983188540998581229471556566186616912522107554467183643324976191864419956076419256408761393893456163877713641575807047208131693
  ( 130 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=14196147689937141374294318249731425936067 (pp41)
 r2=84880998342609810093756094165793232255873270007284083264233059727258303257959873758507279 (pp89)
Version: Msieve-1.40
Total time: 3.18 hours.
Scaled time: 5.79 units (timescale=1.823).
Factorization parameters were as follows:
n: 1204983188540998581229471556566186616912522107554467183643324976191864419956076419256408761393893456163877713641575807047208131693
m: 200000000000000000000000000
deg: 5
c5: 775
c0: -284
skew: 0.82
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1285001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206175 x 206400
Total sieving time: 3.08 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,75000
total time: 3.18 hours.
 --------- CPU info (if available) ----------

1120886714752989012233833245860000318452629651590483870856165594382614990996828653825284052587494909528216045838705574523583<124>

660658928585086985809163336350428170481943780205911441<54>
1696619339049209242025102064325212037235881003135077451714444644950863<70>

Number: 68881_133
N=1120886714752989012233833245860000318452629651590483870856165594382614990996828653825284052587494909528216045838705574523583
  ( 124 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=660658928585086985809163336350428170481943780205911441 (pp54)
 r2=1696619339049209242025102064325212037235881003135077451714444644950863 (pp70)
Version: Msieve v. 1.43
Total time: 7.68 hours.
Scaled time: 6.05 units (timescale=0.788).
Factorization parameters were as follows:
n: 1120886714752989012233833245860000318452629651590483870856165594382614990996828653825284052587494909528216045838705574523583
m: 500000000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 211824 x 212049
Total sieving time: 7.30 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 7.68 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

76317326073273886332452818555423918091234042295879702293589897638297267192026427<80>

3023609198798573489557559745506843<34>
25240472910189074574471536572739850312627201889<47>

10/25/09 16:58:59 v1.12 @ ERIK-DATOR, starting SIQS on c80: 76317326073273886332452818555423918091234042295879702293589897638297267192026427
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, random seeds: 2974791847, 2559185332
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, ==== sieve params ====
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, n = 81 digits, 267 bits
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, factor base: 43638 primes (max prime = 1126361)
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, single large prime cutoff: 107004295 (95 * pmax)
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, using 0 large prime slices of factor base
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, buckets hold 1024 elements
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, sieve interval: 14 blocks of size 32768
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, polynomial A has ~ 568396561 factors
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, using multiplier of 2
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, using small prime variation correction of 21 bits
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, using SSE2 for trial division and x64 sieve scanning
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, trial factoring cutoff at 92 bits
10/25/09 16:58:59 v1.12 @ ERIK-DATOR, ==== sieving started ( 2 threads) ====
10/25/09 17:04:18 v1.12 @ ERIK-DATOR, sieve time = 94.7714, relation time = 39.4308, poly_time = 161.4446
10/25/09 17:04:18 v1.12 @ ERIK-DATOR, 43726 relations found: 22156 full + 21570 from 236834 partial, using 7943760 polys (351 A polys)
10/25/09 17:04:18 v1.12 @ ERIK-DATOR, on average, sieving found 0.03 rels/poly and 811.84 rels/sec
10/25/09 17:04:18 v1.12 @ ERIK-DATOR, trial division touched 4575910 sieve locations out of 7288431575040
10/25/09 17:04:18 v1.12 @ ERIK-DATOR, ==== post processing stage (msieve-1.38) ====
10/25/09 17:04:26 v1.12 @ ERIK-DATOR, begin with 258990 relations
10/25/09 17:04:26 v1.12 @ ERIK-DATOR, reduce to 62563 relations in 2 passes
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, recovered 62563 relations
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, recovered 44959 polynomials
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, attempting to build 43726 cycles
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, found 43726 cycles in 1 passes
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, distribution of cycle lengths:
10/25/09 17:04:34 v1.12 @ ERIK-DATOR,    length 1 : 22156
10/25/09 17:04:34 v1.12 @ ERIK-DATOR,    length 2 : 21570
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, largest cycle: 2 relations
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, matrix is 43638 x 43726 (5.7 MB) with weight 1316031 (30.10/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, sparse part has weight 1316031 (30.10/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, filtering completed in 3 passes
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, matrix is 31257 x 31321 (4.5 MB) with weight 1063089 (33.94/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, sparse part has weight 1063089 (33.94/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, saving the first 48 matrix rows for later
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, matrix is 31209 x 31321 (3.8 MB) with weight 875970 (27.97/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, sparse part has weight 800848 (25.57/col)
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, matrix includes 64 packed rows
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, using block size 12528 for processor cache size 2048 kB
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, commencing Lanczos iteration
10/25/09 17:04:34 v1.12 @ ERIK-DATOR, memory use: 3.8 MB
10/25/09 17:04:39 v1.12 @ ERIK-DATOR, lanczos halted after 495 iterations (dim = 31207)
10/25/09 17:04:39 v1.12 @ ERIK-DATOR, recovered 16 nontrivial dependencies
10/25/09 17:04:40 v1.12 @ ERIK-DATOR, prp34 = 3023609198798573489557559745506843
10/25/09 17:04:41 v1.12 @ ERIK-DATOR, prp47 = 25240472910189074574471536572739850312627201889
10/25/09 17:04:41 v1.12 @ ERIK-DATOR, Lanczos elapsed time = 21.1420 seconds.
10/25/09 17:04:41 v1.12 @ ERIK-DATOR, Sqrt elapsed time = 1.4820 seconds.
10/25/09 17:04:41 v1.12 @ ERIK-DATOR, SIQS elapsed time = 341.6886 seconds.

YAFU

6635003835486902970594310750805950658360102961790601430840554603116519491417799716317124902425292622802174699799801<115>

87940173824683258876381753531354451770847<41>
75449064368628461623561903771559610802465731814491611535253595307663468583<74>

(ここに素因数分解ソフトウェアの出力結果を貼り付けてください。例：GGNFSのサマリファイル、B1とsigmaを含む
Number: 68881_136
N=6635003835486902970594310750805950658360102961790601430840554603116519491417799716317124902425292622802174699799801
  ( 115 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=87940173824683258876381753531354451770847 (pp41)
 r2=75449064368628461623561903771559610802465731814491611535253595307663468583 (pp74)
Version: GGNFS-0.77.1-20060513-k8
Total time: 8.91 hours.
Scaled time: 17.36 units (timescale=1.949).
Factorization parameters were as follows:
name: 68881_136
n: 6635003835486902970594310750805950658360102961790601430840554603116519491417799716317124902425292622802174699799801
m: 2000000000000000000000000000
deg: 5
c5: 155
c0: -568
skew: 1.30
type: snfs
lss: 1
rlim: 1430000
alim: 1430000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1430000/1430000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [715000, 1540001)
Primes: RFBsize:109205, AFBsize:109291, largePrimes:3393933 encountered
Relations: rels:3341469, finalFF:248129
Max relations in full relation-set: 28
Initial matrix: 218563 x 248129 with sparse part having weight 22264177.
Pruned matrix : 209570 x 210726 with weight 16662072.
Total sieving time: 8.30 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1430000,1430000,26,26,48,48,2.3,2.3,75000
total time: 8.91 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

103508606415347412610445012420502440976795110134999813227178254855128575837561314714804310858344623651363750600965347889639<123>

586223530914985362890505263147233484304329<42>
176568494706771364851457868738726420430749628421559284794116630853036260388793391<81>

Number: 68881_138
N=103508606415347412610445012420502440976795110134999813227178254855128575837561314714804310858344623651363750600965347889639
  ( 123 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=586223530914985362890505263147233484304329 (pp42)
 r2=176568494706771364851457868738726420430749628421559284794116630853036260388793391 (pp81)
Version: GGNFS-0.77.1-20060513-k8
Total time: 14.59 hours.
Scaled time: 28.97 units (timescale=1.985).
Factorization parameters were as follows:
name: 68881_138
n: 103508606415347412610445012420502440976795110134999813227178254855128575837561314714804310858344623651363750600965347889639
m: 5000000000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [790000, 2090001)
Primes: RFBsize:119758, AFBsize:119825, largePrimes:3944588 encountered
Relations: rels:4138860, finalFF:373069
Max relations in full relation-set: 28
Initial matrix: 239650 x 373069 with sparse part having weight 41359806.
Pruned matrix : 204694 x 205956 with weight 20997592.
Total sieving time: 13.95 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 14.59 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

25599535095765284772907421390742729405999308114306671311586277227479931833907608502472969991698711464297998646483<113>

67396829659826934567187683042527026494165158749<47>
379832927230764651413352296349336303801716583716324523571650614767<66>

Number: 68881_141
N=25599535095765284772907421390742729405999308114306671311586277227479931833907608502472969991698711464297998646483
  ( 113 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=67396829659826934567187683042527026494165158749 (pp47)
 r2=379832927230764651413352296349336303801716583716324523571650614767 (pp66)
Version: GGNFS-0.77.1-20060513-k8
Total time: 15.56 hours.
Scaled time: 30.54 units (timescale=1.963).
Factorization parameters were as follows:
name: 68881_141
n: 25599535095765284772907421390742729405999308114306671311586277227479931833907608502472969991698711464297998646483
m: 20000000000000000000000000000
deg: 5
c5: 155
c0: -568
skew: 1.30
type: snfs
lss: 1
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [870000, 2170001)
Primes: RFBsize:130902, AFBsize:130802, largePrimes:3951723 encountered
Relations: rels:4084666, finalFF:353287
Max relations in full relation-set: 28
Initial matrix: 261771 x 353287 with sparse part having weight 36947158.
Pruned matrix : 232903 x 234275 with weight 21833316.
Total sieving time: 14.65 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.68 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1740000,1740000,26,26,48,48,2.3,2.3,100000
total time: 15.56 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

31907776233853121301013843857753074983274149554835057382533065719726210694251453862384848952704441356595131490916576604395038855437187998559<140>

88605204287423670249671527649293<32>
282298075240783523797463502563785239997<39>
1275643702644799867268139877864205097833015033358005502736075772881079<70>

Number: s140
N=31907776233853121301013843857753074983274149554835057382533065719726210694251453862384848952704441356595131490916576604395038855437187998559
  ( 140 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=88605204287423670249671527649293 (pp32)
 r2=282298075240783523797463502563785239997 (pp39)
 r3=1275643702644799867268139877864205097833015033358005502736075772881079 (pp70)
Version: Msieve-1.40
Total time: 7.72 hours.
Scaled time: 15.16 units (timescale=1.963).
Factorization parameters were as follows:
n: 31907776233853121301013843857753074983274149554835057382533065719726210694251453862384848952704441356595131490916576604395038855437187998559
m: 20000000000000000000000000000
deg: 5
c5: 775
c0: -284
skew: 0.82
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [895000, 2295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 313997 x 314222
Total sieving time: 7.26 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,144.000,5,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 7.72 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

119516106632496283665894694538282365100792261988213590436675492772858536245889750978063107224994882728409718860150351667953733569<129>

103755478159889828751485057885748821715212892879557<51>
1151901651383832725319629282005586242558015694434569307514321563885225997402317<79>

Number: 68881_143
N=119516106632496283665894694538282365100792261988213590436675492772858536245889750978063107224994882728409718860150351667953733569
  ( 129 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=103755478159889828751485057885748821715212892879557 (pp51)
 r2=1151901651383832725319629282005586242558015694434569307514321563885225997402317 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 21.93 hours.
Scaled time: 43.67 units (timescale=1.991).
Factorization parameters were as follows:
name: 68881_143
n: 119516106632496283665894694538282365100792261988213590436675492772858536245889750978063107224994882728409718860150351667953733569
m: 50000000000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [955000, 2855001)
Primes: RFBsize:142718, AFBsize:142742, largePrimes:4317703 encountered
Relations: rels:4561580, finalFF:361745
Max relations in full relation-set: 28
Initial matrix: 285527 x 361745 with sparse part having weight 41726282.
Pruned matrix : 260885 x 262376 with weight 28387579.
Total sieving time: 20.68 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.99 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 21.93 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

543166771262499552479231555893942724170566107989350047498766678598794980817702546211216551464640875392695479<108>

45060620799576548736690063731376301<35>
12054134222394110709717782635167614241122684394866782704597181919381457779<74>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 543166771262499552479231555893942724170566107989350047498766678598794980817702546211216551464640875392695479 (108 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4831068078
Step 1 took 2670ms
Step 2 took 1844ms
********** Factor found in step 2: 45060620799576548736690063731376301
Found probable prime factor of 35 digits: 45060620799576548736690063731376301
Probable prime cofactor 12054134222394110709717782635167614241122684394866782704597181919381457779 has 74 digits

Core 2 Quad Q6700

958617206529026163078164168986373017228530684647348271505022568050178553786224842053248585300086776421<102>

43565025495414996045361762082014639<35>
22004284299797228251633148946891172189744868497880149030614978474539<68>

Number: 68881_149
N=958617206529026163078164168986373017228530684647348271505022568050178553786224842053248585300086776421
  ( 102 digits)
Divisors found:
 r1=43565025495414996045361762082014639 (pp35)
 r2=22004284299797228251633148946891172189744868497880149030614978474539 (pp68)
Version: Msieve-1.40
Total time: 8.42 hours.
Scaled time: 14.82 units (timescale=1.761).
Factorization parameters were as follows:
name: 68881_149
n: 958617206529026163078164168986373017228530684647348271505022568050178553786224842053248585300086776421
skew: 22580.98
# norm 2.26e+014
c5: 6720
c4: 338199084
c3: -10505707699312
c2: -4051122316080619
c1: 2503178937575702048042
c0: -9365976316249819726224600
# alpha -6.53
Y1: 38483326871
Y0: -42741647054392727347
# Murphy_E 2.68e-009
# M 52154113368020348603538907067962726876078627937292628552976680809307400113998793692763656046280578354
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 2
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 280615 x 280863
Total sieving time: 7.77 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 8.42 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve v1.41

167026891967514041560512106776883305292659958797087512558130233271448139287140102811153939235403213386239930950692215778269942627<129>

487000537391850390878280007869998072687387<42>
342970652274908800371221025897560617960050601182101051487751425298682261487633167922521<87>

Number: 68881_150
N=167026891967514041560512106776883305292659958797087512558130233271448139287140102811153939235403213386239930950692215778269942627
  ( 129 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=487000537391850390878280007869998072687387 (pp42)
 r2=342970652274908800371221025897560617960050601182101051487751425298682261487633167922521 (pp87)
Version: GGNFS-0.77.1-20060513-k8
Total time: 28.87 hours.
Scaled time: 56.06 units (timescale=1.942).
Factorization parameters were as follows:
name: 68881_150
n: 167026891967514041560512106776883305292659958797087512558130233271448139287140102811153939235403213386239930950692215778269942627
m: 1000000000000000000000000000000
deg: 5
c5: 62
c0: -71
skew: 1.03
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176285, largePrimes:6922539 encountered
Relations: rels:6824198, finalFF:406801
Max relations in full relation-set: 28
Initial matrix: 352653 x 406801 with sparse part having weight 42278766.
Pruned matrix : 332656 x 334483 with weight 31669257.
Total sieving time: 26.80 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 1.72 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 28.87 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1068362831630975289536719380978717933839318138065193388152189421002793725428131445533649250405126709847471149909608867206808159<127>

12183800517956357535603106021528312450021649863093099<53>
87687157226222913211851853713756716074490652421247217538196733958337598941<74>

Number: 68881_151
N=1068362831630975289536719380978717933839318138065193388152189421002793725428131445533649250405126709847471149909608867206808159
  ( 127 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=12183800517956357535603106021528312450021649863093099 (pp53)
 r2=87687157226222913211851853713756716074490652421247217538196733958337598941 (pp74)
Version: Msieve-1.40
Total time: 24.61 hours.
Scaled time: 51.14 units (timescale=2.078).
Factorization parameters were as follows:
name: 68881_151
n: 1068362831630975289536719380978717933839318138065193388152189421002793725428131445533649250405126709847471149909608867206808159
m: 2000000000000000000000000000000
deg: 5
c5: 155
c0: -568
skew: 1.30
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 451516 x 451764
Total sieving time: 23.54 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 24.61 hours.
 --------- CPU info (if available) ----------

206550861030187082845434344910136822313692781358486124359562932596625872977417209449469207777000587340003595836995580001075491383141<132>

315834675110482422029126787755351387<36>
653984116715282556173259909244692754554281589932741812886644462514507314473058785355215072340543<96>

Number: 68881_152
N=206550861030187082845434344910136822313692781358486124359562932596625872977417209449469207777000587340003595836995580001075491383141
  ( 132 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=315834675110482422029126787755351387 (pp36)
 r2=653984116715282556173259909244692754554281589932741812886644462514507314473058785355215072340543 (pp96)
Version: Msieve-1.40
Total time: 26.52 hours.
Scaled time: 55.30 units (timescale=2.085).
Factorization parameters were as follows:
name: 68881_152
n: 206550861030187082845434344910136822313692781358486124359562932596625872977417209449469207777000587340003595836995580001075491383141
m: 2000000000000000000000000000000
deg: 5
c5: 775
c0: -284
skew: 0.82
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 503235 x 503483
Total sieving time: 25.38 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.88 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 26.52 hours.
 --------- CPU info (if available) ----------

135400873284210690693774015755123458723863999599882657194440727495833755486367006735978429661363061336140811098682184076321<123>

59456498419297853938720187564291652786173012200777<50>
2277309913700930235171299438349941993910174833496615439903369397888974873<73>

Number: 68881_154
N=135400873284210690693774015755123458723863999599882657194440727495833755486367006735978429661363061336140811098682184076321
  ( 123 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=59456498419297853938720187564291652786173012200777 (pp50)
 r2=2277309913700930235171299438349941993910174833496615439903369397888974873 (pp73)
Version: Msieve v. 1.43
Total time: 23.11 hours.
Scaled time: 23.09 units (timescale=0.999).
Factorization parameters were as follows:
n: 135400873284210690693774015755123458723863999599882657194440727495833755486367006735978429661363061336140811098682184076321
m: 10000000000000000000000000000000
deg: 5
c5: 31
c0: -355
skew: 1.63
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 506553 x 506780
Total sieving time: 22.27 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.61 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 23.11 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

447166666318541071021133120076586888737388050135431182917568426080461179199315021134343779030522598595547672164599159<117>

690204344660474179997645180103744985808246178066443143733<57>
647875762848916317184387762028148718967749699167161314240123<60>

Number: 68881_155
N=447166666318541071021133120076586888737388050135431182917568426080461179199315021134343779030522598595547672164599159
  ( 117 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=690204344660474179997645180103744985808246178066443143733 (pp57)
 r2=647875762848916317184387762028148718967749699167161314240123 (pp60)
Version: Msieve-1.40
Total time: 35.60 hours.
Scaled time: 120.13 units (timescale=3.374).
Factorization parameters were as follows:
name: 68881_155
n: 447166666318541071021133120076586888737388050135431182917568426080461179199315021134343779030522598595547672164599159
m: 10000000000000000000000000000000
deg: 5
c5: 62
c0: -71
skew: 1.03
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 507864 x 508112
Total sieving time: 35.01 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 35.60 hours.
 --------- CPU info (if available) ----------

804932845164033586036914469028264065136979055479450569674957239025392866722070247914821612289988269570817453495701<114>

52297659149807374462667474009984713<35>
15391374265113706485561084794199787764149587902549858512746210928097010187565677<80>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 804932845164033586036914469028264065136979055479450569674957239025392866722070247914821612289988269570817453495701 (114 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=8562617314
Step 1 took 2683ms
Step 2 took 1934ms
********** Factor found in step 2: 52297659149807374462667474009984713
Found probable prime factor of 35 digits: 52297659149807374462667474009984713
Probable prime cofactor 15391374265113706485561084794199787764149587902549858512746210928097010187565677 has 80 digits

Core 2 Quad Q6700

168091716614481103463083594268062800883645758833805202718252499935061086452976721473033496538452942958137049236729866564856854058353995213907038763471<150>

132575299431508438665738676848358063462718878204534843<54>
1267896186810585277293654903308370039889900735456986092170954192488322227543251134228508640175997<97>

Number: 68881_158
N=168091716614481103463083594268062800883645758833805202718252499935061086452976721473033496538452942958137049236729866564856854058353995213907038763471
  ( 150 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=132575299431508438665738676848358063462718878204534843 (pp54)
 r2=1267896186810585277293654903308370039889900735456986092170954192488322227543251134228508640175997 (pp97)
Version: Msieve-1.40
Total time: 44.43 hours.
Scaled time: 89.71 units (timescale=2.019).
Factorization parameters were as follows:
name: 68881_158
n: 168091716614481103463083594268062800883645758833805202718252499935061086452976721473033496538452942958137049236729866564856854058353995213907038763471
m: 50000000000000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 631071 x 631319
Total sieving time: 42.50 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.46 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 44.43 hours.
 --------- CPU info (if available) ----------

135153231980572748044136445861801829429050962561946223951226838695412239454479728772981461313692290146394175213660440191042327<126>

637642494412674002793864923763006295921649455939<48>
211957692852734056509800472053686387750176129582452776229614596712235602760093<78>

Number: 68881_159
N=135153231980572748044136445861801829429050962561946223951226838695412239454479728772981461313692290146394175213660440191042327
  ( 126 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=637642494412674002793864923763006295921649455939 (pp48)
 r2=211957692852734056509800472053686387750176129582452776229614596712235602760093 (pp78)
Version: Msieve v. 1.42
Total time: 1.59 hours.
Scaled time: 1.08 units (timescale=0.681).
Factorization parameters were as follows:
name: 68881_159
n: 135153231980572748044136445861801829429050962561946223951226838695412239454479728772981461313692290146394175213660440191042327
m: 100000000000000000000000000000000
deg: 5
c5: 31
c0: -355
skew: 1.63
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 652571 x 652797
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.37 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 1.59 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.19 BogoMIPS (lpj=1860598)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860574)
Total of 2 processors activated (7442.34 BogoMIPS).

Total time: 27.7 hours

1069927196854118265491844218314408607974802302696835461705048222248058295906490484465975989906304815245214369775644395405176799<127>

13293896052923584707628730999104405807681<41>
80482590851823351939562778795885505113611415145477307256905540960132767325450472770079<86>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 1069927196854118265491844218314408607974802302696835461705048222248058295906490484465975989906304815245214369775644395405176799 (127 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4381793230
Step 1 took 3319ms
Step 2 took 2107ms
********** Factor found in step 2: 13293896052923584707628730999104405807681
Found probable prime factor of 41 digits: 13293896052923584707628730999104405807681
Probable prime cofactor 80482590851823351939562778795885505113611415145477307256905540960132767325450472770079 has 86 digits

Core 2 Quad Q6700

7453229079683634188103196101922610125639868950413398574507032854609890070168290130051336575627502110007583354854997020130458699173995831<136>

992475357917463346229619663566535046949<39>
7509737163976481080866171857101385836152469516008259754713441097351260965314523929224542143986219<97>

Number: 68881_164
N=7453229079683634188103196101922610125639868950413398574507032854609890070168290130051336575627502110007583354854997020130458699173995831
  ( 136 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=992475357917463346229619663566535046949 (pp39)
 r2=7509737163976481080866171857101385836152469516008259754713441097351260965314523929224542143986219 (pp97)
Version: Msieve-1.40
Total time: 43.13 hours.
Scaled time: 144.79 units (timescale=3.357).
Factorization parameters were as follows:
name: 68881_164
n: 7453229079683634188103196101922610125639868950413398574507032854609890070168290130051336575627502110007583354854997020130458699173995831
m: 1000000000000000000000000000000000
deg: 5
c5: 31
c0: -355
skew: 1.63
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 801871 x 802119
Total sieving time: 41.78 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.21 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 43.13 hours.
 --------- CPU info (if available) ----------

547621796453341567445325682738862933823889405552388623376227400410272950337071373218094982227155411347304808226247436743565927477049943363982223737191424281531023<162>

417996494895948005785248123398354871614766916243498866195380490935959<69>
1310110977341236383525940660843416170256038120437603143534793254416808586880932126433244177097<94>

Number: 68881_168
N=547621796453341567445325682738862933823889405552388623376227400410272950337071373218094982227155411347304808226247436743565927477049943363982223737191424281531023
  ( 162 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=417996494895948005785248123398354871614766916243498866195380490935959 (pp69)
 r2=1310110977341236383525940660843416170256038120437603143534793254416808586880932126433244177097 (pp94)
Version: Msieve v. 1.43
Total time: 71.81 hours.
Scaled time: 124.87 units (timescale=1.739).
Factorization parameters were as follows:
n: 547621796453341567445325682738862933823889405552388623376227400410272950337071373218094982227155411347304808226247436743565927477049943363982223737191424281531023
m: 5000000000000000000000000000000000
deg: 5
c5: 496
c0: -1775
skew: 1.29
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 6400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1056436 x 1056661
Total sieving time: 69.24 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.46 hours.
Time per square root: 0.98 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 71.81 hours.

GGNFS, Msieve

79814675419467047847624984013461045496851923194054626061441496047366444723808966701457240684451974369636851225969938811<119>

82660081394313266012448446052941500919<38>
965577024280041750953286497287634496570237721902454230853822326500051858350496669<81>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1887201488
Step 1 took 126018ms
Step 2 took 42743ms
********** Factor found in step 2: 82660081394313266012448446052941500919
Found probable prime factor of 38 digits: 82660081394313266012448446052941500919
Probable prime cofactor 965577024280041750953286497287634496570237721902454230853822326500051858350496669 has 81 digits

GMP-ECM 6.2.1

523340169675323979218668320421602840690440997658559198931643248460219267713735290659331800959552642070185150155157698853015608451741156964995042195989374168722676051<165>

15602471926924933938592663806430212082428034579139978305230145191169585707783895579<83>
33542131793373349803791167429073588671109887449475537586566666088049681406989340969<83>

N=523340169675323979218668320421602840690440997658559198931643248460219267713735290659331800959552642070185150155157698853015608451741156964995042195989374168722676051
  ( 165 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=15602471926924933938592663806430212082428034579139978305230145191169585707783895579 (pp83)
 r2=33542131793373349803791167429073588671109887449475537586566666088049681406989340969 (pp83)
Version: Msieve-1.40
Total time: 69.39 hours.
Scaled time: 129.34 units (timescale=1.864).
Factorization parameters were as follows:
n: 523340169675323979218668320421602840690440997658559198931643248460219267713735290659331800959552642070185150155157698853015608451741156964995042195989374168722676051
m: 10000000000000000000000000000000000
deg: 5
c5: 62
c0: -71
skew: 1.03
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 6350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1047650 x 1047883
Total sieving time: 67.68 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.38 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 69.39 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1278023441412254406720971486817825141918529955238348059578277651238955634560825045060823107958631631273317276544058946303881944997837612886525084188543492188586647<163>

1600606687685207079981972189175964607847<40>
798461890260203983777865595532676387857491818084310489921571287545918302724829696269195481540944560007643355765101773720401<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=484386855
Step 1 took 52247ms
********** Factor found in step 1: 1600606687685207079981972189175964607847
Found probable prime factor of 40 digits: 1600606687685207079981972189175964607847
Probable prime cofactor 798461890260203983777865595532676387857491818084310489921571287545918302724829696269195481540944560007643355765101773720401 has 123 digits

GMP-ECM 6.2.1

6131569898808353422195456851216100388129614969319717545922629434421685921112212090545779936464633725553718178565912568576916347802379<133>

19241557073510691494045340621508772195929248415185836803631<59>
318662875118849535862831249227324089589020289200621349968867740031649588709<75>

Number: 13
N=6131569898808353422195456851216100388129614969319717545922629434421685921112212090545779936464633725553718178565912568576916347802379
  ( 133 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=19241557073510691494045340621508772195929248415185836803631 (pp59)
 r2=318662875118849535862831249227324089589020289200621349968867740031649588709 (pp75)
Version: Msieve-1.40
Total time: 94.60 hours.
Scaled time: 164.52 units (timescale=1.739).
Factorization parameters were as follows:
n: 6131569898808353422195456851216100388129614969319717545922629434421685921112212090545779936464633725553718178565912568576916347802379
m: 10000000000000000000000000000000000
deg: 5
c5: 6200
c0: -71
skew: 0.41
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 7850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1151552 x 1151785
Total sieving time: 92.24 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.77 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 94.60 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

9630649152229381770566079573251488051161145076676168351901944763107618996036680300235135664689199476945589918830979639161008932547103804384236391451720069<154>

13747849624252982866878190831354294568317447902860531<53>
700520402495505366231528579522647492308435032396389386442394396168800788489706075578189543632881202599<102>

Msieve v. 1.44
Sun Mar 28 06:56:32 2010
random seeds: 3ec7bea7 1b8dbfd1
factoring 9630649152229381770566079573251488051161145076676168351901944763107618996036680300235135664689199476945589918830979639161008932547103804384236391451720069 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0: -71
A1:  0
A2:  0
A3:  0
A4:  0
A5:  62000
skew 0.26, size 1.604871e-12, alpha -0.203144, combined = 1.145720e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
found 3943969 hash collisions in 32112928 relations
added 1921 free relations
commencing duplicate removal, pass 2
found 2799303 duplicates and 29315546 unique relations
memory use: 165.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 896.3 MB
keeping 33403360 ideals with weight <= 200, target excess is 151194
commencing in-memory singleton removal
begin with 29315546 relations and 33403360 unique ideals
reduce to 8144515 relations and 7714786 ideals in 21 passes
max relations containing the same ideal: 85
removing 1345391 relations and 1218219 ideals in 127172 cliques
commencing in-memory singleton removal
begin with 6799124 relations and 7714786 unique ideals
reduce to 6616166 relations and 6309444 ideals in 11 passes
max relations containing the same ideal: 74
removing 978812 relations and 851640 ideals in 127172 cliques
commencing in-memory singleton removal
begin with 5637354 relations and 6309444 unique ideals
reduce to 5516539 relations and 5334375 ideals in 11 passes
max relations containing the same ideal: 65
relations with 0 large ideals: 3507
relations with 1 large ideals: 3108
relations with 2 large ideals: 45102
relations with 3 large ideals: 276772
relations with 4 large ideals: 886990
relations with 5 large ideals: 1570030
relations with 6 large ideals: 1589446
relations with 7+ large ideals: 1141584
commencing 2-way merge
reduce to 3020802 relation sets and 2838648 unique ideals
ignored 11 oversize relation sets
commencing full merge
memory use: 316.2 MB
found 1501538 cycles, need 1476848
weight of 1476848 cycles is about 103398622 (70.01/cycle)
distribution of cycle lengths:
1 relations: 190953
2 relations: 172136
3 relations: 168700
4 relations: 150135
5 relations: 133056
6 relations: 113439
7 relations: 99860
8 relations: 84794
9 relations: 71396
10+ relations: 292379
heaviest cycle: 23 relations
commencing cycle optimization
start with 8811420 relations
pruned 152828 relations
memory use: 305.8 MB
distribution of cycle lengths:
1 relations: 190953
2 relations: 175248
3 relations: 173068
4 relations: 152507
5 relations: 135027
6 relations: 114484
7 relations: 100316
8 relations: 84459
9 relations: 70633
10+ relations: 280153
heaviest cycle: 23 relations
RelProcTime: 680
elapsed time 00:11:21
-> Doing matrix solving step...
=>nice -n 19  "../msieve" -s 173.dat -l ggnfs.log -i 173.ini -v -nf 173.fb -t 4 -nc2


Msieve v. 1.44
Sun Mar 28 07:07:54 2010
random seeds: 422a437e c706428c
factoring 9630649152229381770566079573251488051161145076676168351901944763107618996036680300235135664689199476945589918830979639161008932547103804384236391451720069 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0: -71
A1:  0
A2:  0
A3:  0
A4:  0
A5:  62000
skew 0.26, size 1.604871e-12, alpha -0.203144, combined = 1.145720e-10

commencing linear algebra
read 1476848 cycles
cycles contain 5243239 unique relations
read 5243239 relations
using 20 quadratic characters above 536865188
building initial matrix
memory use: 634.9 MB
read 1476848 cycles
matrix is 1476650 x 1476848 (444.9 MB) with weight 132135330 (89.47/col)
sparse part has weight 100390704 (67.98/col)
filtering completed in 2 passes
matrix is 1469552 x 1469748 (444.2 MB) with weight 131870777 (89.72/col)
sparse part has weight 100282224 (68.23/col)
read 1469748 cycles
matrix is 1469552 x 1469748 (444.2 MB) with weight 131870777 (89.72/col)
sparse part has weight 100282224 (68.23/col)
saving the first 48 matrix rows for later
matrix is 1469504 x 1469748 (422.4 MB) with weight 105342275 (71.67/col)
sparse part has weight 96040632 (65.34/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 449.2 MB
linear algebra at 0.1%, ETA 2h40m469748 dimensions (0.1%, ETA 2h40m)
linear algebra completed 1469308 of 1469748 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 23237 iterations (dim = 1469504)
recovered 39 nontrivial dependencies
BLanczosTime: 9229
elapsed time 02:33:50
=>nice -n 19  "../msieve" -s 173.dat -l ggnfs.log -i 173.ini -v -nf 173.fb -t 4 -nc3


Msieve v. 1.44
Sun Mar 28 09:41:44 2010
random seeds: 15add300 e4b1f39a
factoring 9630649152229381770566079573251488051161145076676168351901944763107618996036680300235135664689199476945589918830979639161008932547103804384236391451720069 (154 digits)
searching for 15-digit factors
commencing number field sieve (154-digit input)
R0: -10000000000000000000000000000000000
R1:  1
A0: -71
A1:  0
A2:  0
A3:  0
A4:  0
A5:  62000
skew 0.26, size 1.604871e-12, alpha -0.203144, combined = 1.145720e-10

commencing square root phase
reading relations for dependency 1
read 735335 cycles
cycles contain 2620068 unique relations
read 2620068 relations
multiplying 2620068 relations
multiply complete, coefficients have about 96.89 million bits
initial square root is modulo 9001481
sqrtTime: 339
prp53 factor: 13747849624252982866878190831354294568317447902860531
prp102 factor: 700520402495505366231528579522647492308435032396389386442394396168800788489706075578189543632881202599
elapsed time 00:05:41

39901588414379418683020886356713895092528159926242165642732081909167976272116931031734311622229689590723086591414392204910717947527<131>

1804539085935747042353209054721019414737<40>
22111789500912016575360420235097383184198607574360053220678942493410735988086756814987507671<92>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=629536205
Step 1 took 250975ms
Step 2 took 106033ms
********** Factor found in step 2: 1804539085935747042353209054721019414737
Found probable prime factor of 40 digits: 1804539085935747042353209054721019414737
Probable prime cofactor 22111789500912016575360420235097383184198607574360053220678942493410735988086756814987507671 has 92 digits

GMP-ECM 6.3

14825834187446705079439533604132230002748318169046279856770609295034464506720670200474706190673647166316978739211516210021639736789043637107897291<146>

238966575127733273194337403284329761676829545254349<51>
62041455712046535661308736072160609945146869881865387749045278016528341417681481950661904314359<95>

N=14825834187446705079439533604132230002748318169046279856770609295034464506720670200474706190673647166316978739211516210021639736789043637107897291
  ( 146 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=238966575127733273194337403284329761676829545254349 (pp51)
 r2=62041455712046535661308736072160609945146869881865387749045278016528341417681481950661904314359 (pp95)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 119.12 hours.
Scaled time: 229.43 units (timescale=1.926).
Factorization parameters were as follows:
n: 14825834187446705079439533604132230002748318169046279856770609295034464506720670200474706190673647166316978739211516210021639736789043637107897291
m: 100000000000000000000000000000000000
deg: 5
c5: 6200
c0: -71
skew: 0.41
# Murphy_E = 8.341e-11
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, 9750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1467180 x 1467408
Total sieving time: 116.12 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.10 hours.
Time per square root: 0.70 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: 119.12 hours.
 --------- CPU info (if available) ----------

7251788790318064146171197633781451474510860112727706738246845498494651261115805645384490194578410021802197358785454384659195187447066143061746464046622783073969839983<166>

22274774092018720591952878118642118037093721287366964343776359043<65>
325560598745486458110030411610180038828726195268318511365457811367609239123848654166080661556145052581<102>

N=7251788790318064146171197633781451474510860112727706738246845498494651261115805645384490194578410021802197358785454384659195187447066143061746464046622783073969839983
  ( 166 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=22274774092018720591952878118642118037093721287366964343776359043 (pp65)
 r2=325560598745486458110030411610180038828726195268318511365457811367609239123848654166080661556145052581 (pp102)
Version: Msieve v. 1.47
Total time:
Scaled time: 16.12 units (timescale=1.764).
Factorization parameters were as follows:
n: 7251788790318064146171197633781451474510860112727706738246845498494651261115805645384490194578410021802197358785454384659195187447066143061746464046622783073969839983
m: 200000000000000000000000000000000000
deg: 5
c5: 19375
c0: -71
skew: 0.33
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 160000

Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 10800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1641928 x 1642155
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000

165288359412382952451435551347536075032613516138519364067267429209558101775633445878594044199992699783601411950444215928876067574833<132>

1014326788198981064000715225686482811984204431536023021789073901<64>
162953755471514019409690796180428868456169536830098891189749651346133<69>

N = 165288359412382952451435551347536075032613516138519364067267429209558101775633445878594044199992699783601411950444215928876067574833 (132 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=1014326788198981064000715225686482811984204431536023021789073901 (pp64)
r2=162953755471514019409690796180428868456169536830098891189749651346133 (pp69)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 38.08 hours.
Factorization parameters were as follows:
name: (62*10^181-71)/9
n: 165288359412382952451435551347536075032613516138519364067267429209558101775633445878594044199992699783601411950444215928876067574833
Y0: 1000000000000000000000000000000000000
Y1: -1
c0: -71
c1: 0
c2: 0
c3: 0
c4: 0
c5: 620
skew: 0.65
type: snfs
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22230914
Relations: 3399282 relations
Pruned matrix : 1956245 x 1956493
Polynomial selection time: 0.00 hours.
Total sieving time: 34.73 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 3.17 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,55,55,2.5,2.5,100000
total time: 38.08 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

6112538125143339403682070800127014492696980926977552292517113322028367034824249807414106430481749886778038169406495902063539199794271733710927769637918756916035955937<166>

104116417924722774030214039077850880094619<42>
58708686362632706528486837306424794045265588871805992849769571183911160958348282630549377406550854531974697382701861488726323<125>

N=6112538125143339403682070800127014492696980926977552292517113322028367034824249807414106430481749886778038169406495902063539199794271733710927769637918756916035955937
  ( 166 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=104116417924722774030214039077850880094619 (pp42)
 r2=58708686362632706528486837306424794045265588871805992849769571183911160958348282630549377406550854531974697382701861488726323 (pp125)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 195.89 hours.
Scaled time: 377.09 units (timescale=1.925).
Factorization parameters were as follows:
n: 6112538125143339403682070800127014492696980926977552292517113322028367034824249807414106430481749886778038169406495902063539199794271733710927769637918756916035955937
m: 1000000000000000000000000000000000000
deg: 5
c5: 6200
c0: -71
skew: 0.41
# Murphy_E = 5.246e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
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, 14250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1807554 x 1807781
Total sieving time: 192.40 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.15 hours.
Time per square root: 0.13 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: 195.89 hours.
 --------- CPU info (if available) ----------

10112382824802804457342625634531634387777586947327696821629147279842416454999814878153126593821627679353303332176933426432496501033991143836086755763283471130859616150258265364257<179>

158335949136530495728829921281768556200044049<45>
63866625867023175938335010351970045440329405009221671936038865883820121592393893151960105634735076570416240607359428554200004909797393<134>

N=10112382824802804457342625634531634387777586947327696821629147279842416454999814878153126593821627679353303332176933426432496501033991143836086755763283471130859616150258265364257
  ( 179 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=158335949136530495728829921281768556200044049 (pp45)
 r2=63866625867023175938335010351970045440329405009221671936038865883820121592393893151960105634735076570416240607359428554200004909797393 (pp134)
Version: Msieve-1.40
Total time: 253.94 hours.
Scaled time: 491.11 units (timescale=1.934).
Factorization parameters were as follows:
n: 10112382824802804457342625634531634387777586947327696821629147279842416454999814878153126593821627679353303332176933426432496501033991143836086755763283471130859616150258265364257
m: 1000000000000000000000000000000000000
deg: 5
c5: 62000
c0: -71
skew: 0.26
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1833346 x 1833571
Total sieving time: 248.73 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 4.66 hours.
Time per square root: 0.32 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 253.94 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

640248985256579574295874451190318880409954060259251858070195199724956525382588920395435862442873956243372874586691358563994131291300585312424056075190659677<156>

4098975826326497210093986458258553474718395109267<49>
156197306933222589187815129076914757251842184452213959253441002529706482659212178202217511668001848596657231<108>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 640248985256579574295874451190318880409954060259251858070195199724956525382588920395435862442873956243372874586691358563994131291300585312424056075190659677 (156 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=6602010064
Step 1 took 29568ms
Step 2 took 9803ms
********** Factor found in step 2: 4098975826326497210093986458258553474718395109267
Found probable prime factor of 49 digits: 4098975826326497210093986458258553474718395109267
Probable prime cofactor 156197306933222589187815129076914757251842184452213959253441002529706482659212178202217511668001848596657231 has 108 digits

Core i7-4930K

50266401073944387005872937866183784917399113571780638731571774164778399859981921931914065676985560744592344630601055339358805564449<131>

163168220130428295100944902596776062790769135153760891384357<60>
308064897893499160517759951445054687650987181382443041252475422789057357<72>

Number: 7
N=50266401073944387005872937866183784917399113571780638731571774164778399859981921931914065676985560744592344630601055339358805564449
  ( 131 digits)
Divisors found:
 r1=163168220130428295100944902596776062790769135153760891384357 (pp60)
 r2=308064897893499160517759951445054687650987181382443041252475422789057357 (pp72)
Version: Msieve-1.40
Total time: 133.85 hours.
Scaled time: 232.77 units (timescale=1.739).
Factorization parameters were as follows:
# Murphy_E = 7.589915e-11, selected by Jeff Gilchrist
n: 50266401073944387005872937866183784917399113571780638731571774164778399859981921931914065676985560744592344630601055339358805564449
Y0: -21653415488945598926207766
Y1: 196312615171231
c0: 2350999629532446234220957906951
c1: -32053121770554884347452566
c2: 737775600128643588657
c3: -3917510648928802
c4: -48737390056
c5: 10560
skew: 202553.3
type: gnfs
# selected mechanically
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5100000, 10600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1532685 x 1532910
Total sieving time: 129.59 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.47 hours.
Time per square root: 0.54 hours.
Prototype def-par.txt line would be:
gnfs,130,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,10200000,10200000,28,28,54,54,2.6,2.6,100000
total time: 133.85 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

4052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993<190>

159056495352762286480580492048359527989<39>

25477033004606382089474543221740888076315860678491961319226765661507788975891994600263548413995024764740782104709424866797319890147044298005667883592637<152>

Factor=159056495352762286480580492048359527989  Method=ECM  B1=11000000  Sigma=3757089473

ECMNET

25477033004606382089474543221740888076315860678491961319226765661507788975891994600263548413995024764740782104709424866797319890147044298005667883592637<152>

14815855476566054267351868207231783555533941069227470413553323829930617<71>
1719578936559073593273412959357141617830097862183916043959215715883163569157225061<82>

Factors:
1719578936559073593273412959357141617830097862183916043959215715883163569157225061
14815855476566054267351868207231783555533941069227470413553323829930617

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 194.41/146.592
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 145.8s
Info:Filtering - Merging: Total cpu/real time for merge: 570.83/84.7019
Info:Filtering - Merging: Total cpu/real time for replay: 108.06/89.3273
Info:Generate Free Relations: Total cpu/real time for freerel: 901.06/41.7793
Info:Quadratic Characters: Total cpu/real time for characters: 161.46/30.8914
Info:Square Root: Total cpu/real time for sqrt: 4567.52/298.328
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1033.48/468.031
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 54696354
Info:Lattice Sieving: Average J: 3790.69 for 709639 special-q, max bucket fill -bkmult 1.0,1s:1.220790
Info:Lattice Sieving: Total time: 432642s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1783.65/781.074
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 543.0s
Info:Linear Algebra: Total cpu/real time for bwc: 128922/11718.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 80746.36, WCT time 7369.55, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (79000 iterations)
Info:Linear Algebra: Lingen CPU time 2650.78, WCT time 114.69
Info:Linear Algebra: Mksol: CPU time 43859.09,  WCT time 4004.21, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (40000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 60.89/6.90203
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.95232e+06/26315.3
Info:root: Cleaning up computation data in /tmp/cado.dcnj_o9g
1719578936559073593273412959357141617830097862183916043959215715883163569157225061 14815855476566054267351868207231783555533941069227470413553323829930617

CADO-NFS

2560821369236858051113767017554837194644209263733552070040392103160664035898735258272391683372064172672420988097846022743915507862976643065388995155989<151>

517452552714882800113775903751182527043<39>

4948900833131795948779300436802723663715157264908054857089072914253472322653488429767164518431236683340445838023<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1659986578
Step 1 took 46926ms
Step 2 took 16405ms
********** Factor found in step 2: 517452552714882800113775903751182527043
Found probable prime factor of 39 digits: 517452552714882800113775903751182527043
Composite cofactor 4948900833131795948779300436802723663715157264908054857089072914253472322653488429767164518431236683340445838023 has 112 digits

GMP-ECM 6.2.1

4948900833131795948779300436802723663715157264908054857089072914253472322653488429767164518431236683340445838023<112>

231966688952782810983569504127235672501575217898942363<54>
21334532365287813355167771978525860077741292728723571466821<59>

N=4948900833131795948779300436802723663715157264908054857089072914253472322653488429767164518431236683340445838023
  ( 112 digits)
Divisors found:
 r1=231966688952782810983569504127235672501575217898942363 (pp54)
 r2=21334532365287813355167771978525860077741292728723571466821 (pp59)
Version: Msieve-1.40
Total time: 20.06 hours.
Scaled time: 39.49 units (timescale=1.969).
Factorization parameters were as follows:
name: 112-1
n: 4948900833131795948779300436802723663715157264908054857089072914253472322653488429767164518431236683340445838023
skew: 35745.19
# norm 5.68e+015
c5: 20520
c4: 7874928393
c3: -125171518425754
c2: -10002823683309029156
c1: 186591281683383709662296
c0: -10471410601966863892978464
# alpha -6.73
Y1: 577849820273
Y0: -2995434647356879034675
# Murphy_E 7.92e-010
# M 1904396237109010344233056436440516679725570088245749401332422872741388847060985884113432289929434595461246543295
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 392267 x 392493
Polynomial selection time: 1.84 hours.
Total sieving time: 17.36 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 20.06 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

8530381191671259541168926169435991507271210316825334090090508866672269434324240593730784992808917838267945294415643297795865098418412440981795785238978100353069859150284007598676207<181>

2141731664373514704800209804190966929619<40>
3982936487128283963654011022855118528252029474284443258175563324282085584199674797758328510237897814911957350790362026615847538823628063665653<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2276662570
Step 1 took 63985ms
********** Factor found in step 1: 2141731664373514704800209804190966929619
Found probable prime factor of 40 digits: 2141731664373514704800209804190966929619
Probable prime cofactor 3982936487128283963654011022855118528252029474284443258175563324282085584199674797758328510237897814911957350790362026615847538823628063665653 has 142 digits

GMP-ECM 6.2.1

476584546263894187249410686004100765778612480514835230007919231006638024959787696980937702139804608084591272660451<114>

2525698696521822456119491163260313393<37>
256813952710105392622923287549523616069<39>
734750347974042448663022462026007717303<39>

Number: 68881_193
N=476584546263894187249410686004100765778612480514835230007919231006638024959787696980937702139804608084591272660451
  ( 114 digits)
Divisors found:
 r1=2525698696521822456119491163260313393
 r2=256813952710105392622923287549523616069
 r3=734750347974042448663022462026007717303
Version: 
Total time: 15.21 hours.
Scaled time: 36.34 units (timescale=2.389).
Factorization parameters were as follows:
name: 68881_193
n: 476584546263894187249410686004100765778612480514835230007919231006638024959787696980937702139804608084591272660451
skew: 81967.32
# norm 9.82e+15
c5: 8820
c4: 2345585976
c3: -323570539152345
c2: -15362443811670735002
c1: 597776664594248966729850
c0: 21149383241086351023669060501
# alpha -6.44
Y1: 162832733239
Y0: -8841660780460233148288
# Murphy_E 6.11e-10
# M 113143934203780989554909325109184190545377095444258272813552631118687650210735975240448943877806470142275656860495
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1400000, 2450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9462558
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 455180 x 455428
Polynomial selection time: 1.15 hours.
Total sieving time: 12.32 hours.
Total relation processing time: 0.70 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.62 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,52,52,2.6,2.6,70000
total time: 15.21 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

26727307665467187467996775278227782465700163911349478462279349652609456807005013403892784603006448669651160605979418734715072715969667844413384580367875439138493<161>

81900160760460316120269504139615422408222546153331212104501612416415429<71>
326340112367283317327441512038484316881011086771086265764043341527895136580469208759377817<90>

p71 factor: 81900160760460316120269504139615422408222546153331212104501612416415429
p90 factor: 326340112367283317327441512038484316881011086771086265764043341527895136580469208759377817


Msieve v. 1.54 (SVN 1034)
random seeds: d5f5b1a5 6e6fa8f1
factoring 26727307665467187467996775278227782465700163911349478462279349652609456807005013403892784603006448669651160605979418734715072715969667844413384580367875439138493 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -355
A1: 0
A2: 0
A3: 0
A4: 0
A5: 31
skew 1.00, size 7.457e-14, alpha 0.838, combined = 1.645e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2263425 hash collisions in 36421322 relations
added 728704 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37150026 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1233.1 MB
keeping 40090420 ideals with weight <= 200, target excess is 195916
commencing in-memory singleton removal
begin with 37150026 relations and 40090420 unique ideals
reduce to 13989069 relations and 12934132 ideals in 15 passes
max relations containing the same ideal: 109
removing 2167528 relations and 1767528 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11821541 relations and 12934132 unique ideals
reduce to 11530514 relations and 10864579 ideals in 9 passes
max relations containing the same ideal: 97
removing 1754258 relations and 1354258 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9776256 relations and 10864579 unique ideals
reduce to 9538988 relations and 9264559 ideals in 11 passes
max relations containing the same ideal: 86
removing 316776 relations and 269610 ideals in 47166 cliques
commencing in-memory singleton removal
begin with 9222212 relations and 9264559 unique ideals
reduce to 9214127 relations and 8986820 ideals in 6 passes
max relations containing the same ideal: 85
relations with 0 large ideals: 4163
relations with 1 large ideals: 7179
relations with 2 large ideals: 67428
relations with 3 large ideals: 349513
relations with 4 large ideals: 1077118
relations with 5 large ideals: 2068377
relations with 6 large ideals: 2610486
relations with 7+ large ideals: 3029863
commencing 2-way merge
reduce to 5714792 relation sets and 5487485 unique ideals
commencing full merge
memory use: 656.1 MB
found 2689032 cycles, need 2665685
weight of 2665685 cycles is about 240228005 (90.12/cycle)
distribution of cycle lengths:
1 relations: 233608
2 relations: 237000
3 relations: 244961
4 relations: 234525
5 relations: 223286
6 relations: 204319
7 relations: 188548
8 relations: 169119
9 relations: 150613
10+ relations: 779706
heaviest cycle: 27 relations
commencing cycle optimization
start with 19490590 relations
pruned 649835 relations
memory use: 576.6 MB
distribution of cycle lengths:
1 relations: 233608
2 relations: 242891
3 relations: 254310
4 relations: 241961
5 relations: 231326
6 relations: 210725
7 relations: 193956
8 relations: 172502
9 relations: 152496
10+ relations: 731910
heaviest cycle: 26 relations
RelProcTime: 1019
elapsed time 00:17:01


Msieve v. 1.54 (SVN 1034)
random seeds: d562befa 093ff020
factoring 26727307665467187467996775278227782465700163911349478462279349652609456807005013403892784603006448669651160605979418734715072715969667844413384580367875439138493 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -355
A1: 0
A2: 0
A3: 0
A4: 0
A5: 31
skew 1.00, size 7.457e-14, alpha 0.838, combined = 1.645e-11 rroots = 1

commencing linear algebra
read 2665685 cycles
cycles contain 9058870 unique relations
read 9058870 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1149.0 MB
read 2665685 cycles
matrix is 2665508 x 2665685 (981.0 MB) with weight 286966454 (107.65/col)
sparse part has weight 227838736 (85.47/col)
filtering completed in 2 passes
matrix is 2664756 x 2664933 (980.9 MB) with weight 286940990 (107.67/col)
sparse part has weight 227830190 (85.49/col)
matrix starts at (0, 0)
matrix is 2664756 x 2664933 (980.9 MB) with weight 286940990 (107.67/col)
sparse part has weight 227830190 (85.49/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2664708 x 2664933 (933.7 MB) with weight 235861088 (88.51/col)
sparse part has weight 218114695 (81.85/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 887.3 MB
linear algebra at 0.1%, ETA 3h24m
checkpointing every 820000 dimensions
lanczos halted after 42136 iterations (dim = 2664701)
recovered 33 nontrivial dependencies
BLanczosTime: 12424
elapsed time 03:27:05


Msieve v. 1.54 (SVN 1034)
random seeds: ce38ba58 1d14f5d5
factoring 26727307665467187467996775278227782465700163911349478462279349652609456807005013403892784603006448669651160605979418734715072715969667844413384580367875439138493 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -355
A1: 0
A2: 0
A3: 0
A4: 0
A5: 31
skew 1.00, size 7.457e-14, alpha 0.838, combined = 1.645e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1333117 cycles
cycles contain 4531354 unique relations
read 4531354 relations
multiplying 4531354 relations
multiply complete, coefficients have about 125.91 million bits
initial square root is modulo 1090395751
GCD is 1, no factor found
reading relations for dependency 2
read 1333075 cycles
cycles contain 4529982 unique relations
read 4529982 relations
multiplying 4529982 relations
multiply complete, coefficients have about 125.88 million bits
initial square root is modulo 1083839831
sqrtTime: 477
p71 factor: 81900160760460316120269504139615422408222546153331212104501612416415429
p90 factor: 326340112367283317327441512038484316881011086771086265764043341527895136580469208759377817
elapsed time 00:07:57

CADO-NFS/Msieve

147856442071426803802551432478419792275528733592098709261269708264179306471313431253771682783345042499432318579843236480041245643398735119012330838396991521955770582240605142189985307<183>

74862900330256809302984265634712953854453354383<47>
1975029572981541441096084381771377486611179774371505536865352274575385261857521870089720001423945023595969763166357120772787160384885429<136>

GMP-ECM 6.2.3 [powered by GMP 4.2.1_MPIR_1.1.1] [ECM]
Input number is 147856442071426803802551432478419792275528733592098709261269708264179306471313431253771682783345042499432318579843236480041245643398735119012330838396991521955770582240605142189985307 (183 digits)
[Tue Oct 26 06:54:42 2010]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1228954155
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
20    25      30      35      40      45      50      55      60      65
2       4       10      34      135     613     3133    17769   111196  751771
Step 1 took 556828ms
Using 22 small primes for NTT
Estimated memory usage: 515M
Initializing tables of differences for F took 360ms
Computing roots of F took 29046ms
Building F from its roots took 19766ms
Computing 1/F took 8750ms
Initializing table of differences for G took 313ms
Computing roots of G took 24843ms
Building G from its roots took 16891ms
Computing roots of G took 24110ms
Building G from its roots took 17047ms
Computing G * H took 4984ms
Reducing  G * H mod F took 4719ms
Computing roots of G took 24625ms
Building G from its roots took 17015ms
Computing G * H took 4985ms
Reducing  G * H mod F took 4687ms
Computing roots of G took 24563ms
Building G from its roots took 16922ms
Computing G * H took 5046ms
Reducing  G * H mod F took 4672ms
Computing polyeval(F,G) took 32766ms
Computing product of all F(g_i) took 156ms
Step 2 took 288110ms
********** Factor found in step 2: 74862900330256809302984265634712953854453354383
Found probable prime factor of 47 digits: 74862900330256809302984265634712953854453354383
Probable prime cofactor 1975029572981541441096084381771377486611179774371505536865352274575385261857521870089720001423945023595969763166357120772787160384885429 has 136 digits

GMP-ECM

43927125138539546950224284279318641089880043149108833794563356267357078032986894855055741298754469919405354816220787134482662529155273190421472596781303829911393563<164>

48110021468520715561294537365799531135878208994079541185547075611703<68>
913055612899318373762075243328296590973801487558723808369539612444444535411963643843512255042621<96>

43927125138539546950224284279318641089880043149108833794563356267357078032986894855055741298754469919405354816220787134482662529155273190421472596781303829911393563=48110021468520715561294537365799531135878208994079541185547075611703*913055612899318373762075243328296590973801487558723808369539612444444535411963643843512255042621

cado polynomial
n: 43927125138539546950224284279318641089880043149108833794563356267357078032986894855055741298754469919405354816220787134482662529155273190421472596781303829911393563
skew: 1.50
type: snfs
c0: -355
c6: 31
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 31*x^6-355
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14800000
tasks.lim1 = 14800000
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: 48110021468520715561294537365799531135878208994079541185547075611703 913055612899318373762075243328296590973801487558723808369539612444444535411963643843512255042621
Info:Square Root: Total cpu/real time for sqrt: 1050.82/318.593
Info:Generate Factor Base: Total cpu/real time for makefb: 9.64/3.76521
Info:Filtering - Merging: Merged matrix has 3426710 rows and total weight 587080317 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 964.09/266.692
Info:Filtering - Merging: Total cpu/real time for replay: 136.88/120.816
Info:Filtering - Singleton removal: Total cpu/real time for purge: 597.45/693.656
Info:Quadratic Characters: Total cpu/real time for characters: 120.04/50.8294
Info:Linear Algebra: Total cpu/real time for bwc: 218219/55880.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 140671.25, WCT time 35923.12, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (107520 iterations)
Info:Linear Algebra: Lingen CPU time 751.3, WCT time 190.64
Info:Linear Algebra: Mksol: CPU time 75438.42,  WCT time 19263.59, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (53760 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34856738
Info:Lattice Sieving: Average J: 1894.85 for 9113092 special-q, max bucket fill -bkmult 1.0,1s:1.204170
Info:Lattice Sieving: Total time: 2.00359e+06s
Info:Square Root: Total cpu/real time for sqrt: 1050.82/318.593
Info:Generate Free Relations: Total cpu/real time for freerel: 181.86/46.5935
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 721.54/759.147
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 617.5999999999999s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 154.29/185.839
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 184.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.99569e+06/572079
48110021468520715561294537365799531135878208994079541185547075611703 913055612899318373762075243328296590973801487558723808369539612444444535411963643843512255042621

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

13547673410973544128717994923540319975224909118835315606878128611982869889662972783213803646332466124745548643236945575143727949907307294302702246720080422216404737803<167>

20703814083710017434203941181<29>

654356407770923648465491093265011628500438838155395019040655717408451346641013314886383730589549523068829008515207175565727024831982591463<138>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4244008742
Step 1 took 7041ms
Step 2 took 3980ms
********** Factor found in step 2: 20703814083710017434203941181
Found probable prime factor of 29 digits: 20703814083710017434203941181
Composite cofactor has 138 digits

654356407770923648465491093265011628500438838155395019040655717408451346641013314886383730589549523068829008515207175565727024831982591463<138>

16900578113931000024918143669876033444801688781242269629<56>
38717989607204225415386743567202407338354829378103862120924151748395220176056364147<83>

Number: 68881_198
N = 654356407770923648465491093265011628500438838155395019040655717408451346641013314886383730589549523068829008515207175565727024831982591463 (138 digits)
Divisors found:
r1=16900578113931000024918143669876033444801688781242269629 (pp56)
r2=38717989607204225415386743567202407338354829378103862120924151748395220176056364147 (pp83)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 310.78 hours.
Factorization parameters were as follows:
# Murphy_E = 2.838211e-11, selected by Markus Tervooren
n: 654356407770923648465491093265011628500438838155395019040655717408451346641013314886383730589549523068829008515207175565727024831982591463
Y0: -433307546274775002136969564
Y1: 2488479770728957
c0: -1735199337251922139841021402587845
c1: 3729747577788843287610078178
c2: 60578165062487897587079
c3: -51383966718430748
c4: -281089682304
c5: 42840
skew: 513306.03
type: gnfs
# selected mechanically
rlim: 16000000
alim: 16000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [8000000, 21100000)
Relations: 23142258
Relations in full relation-set: 4003864 relations
Pruned matrix : 2451378 x 2451605
Polynomial selection time: 0.00 hours.
Total sieving time: 305.35 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 5.11 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,16000000,16000000,28,28,55,55,2.6,2.6,100000
total time: 310.78 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

24141643278958726506803591272853749517327230447527952427284279444531028596987588542238207335956298384765401192242945096595306452844859940381314079033568822171241507547722949<173>

17870455017983575193803229316398677100891849232293<50>
1350924934740848308658499474895794885539241829710059871632082354921023158245109066458757063201614327705421233357197588792993<124>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 24141643278958726506803591272853749517327230447527952427284279444531028596987588542238207335956298384765401192242945096595306452844859940381314079033568822171241507547722949 (173 digits)
Using B1=36550000, B2=192389627446, polynomial Dickson(12), sigma=1:2546576153
Step 1 took 86597ms
Step 2 took 30748ms
********** Factor found in step 2: 17870455017983575193803229316398677100891849232293
Found prime factor of 50 digits: 17870455017983575193803229316398677100891849232293
Prime cofactor 1350924934740848308658499474895794885539241829710059871632082354921023158245109066458757063201614327705421233357197588792993 has 124 digits

540160083217793203374857885895913138691184815505235071159700274602724948721497695502279618992980858512885782525126831470213642277710788680583931314879376340680607240042159<171>

681177955965444247509385583217260359054106200102424726021555728561782241<72>
792979394719571933811881379273450242221539048675691129695943838052342087518860451395203976991008399<99>

Number: n
N=540160083217793203374857885895913138691184815505235071159700274602724948721497695502279618992980858512885782525126831470213642277710788680583931314879376340680607240042159  ( 171 digits)
SNFS difficulty: 203 digits.
Divisors found:

Mon Dec 27 12:31:46 2021  p72 factor: 681177955965444247509385583217260359054106200102424726021555728561782241
Mon Dec 27 12:31:46 2021  p99 factor: 792979394719571933811881379273450242221539048675691129695943838052342087518860451395203976991008399
Mon Dec 27 12:31:46 2021  elapsed time 02:30:19 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 62x10^202-71 = 68(201)1
#
n: 540160083217793203374857885895913138691184815505235071159700274602724948721497695502279618992980858512885782525126831470213642277710788680583931314879376340680607240042159
m: 10000000000000000000000000000000000000000
deg: 5
c5: 6200
c0: -71
skew: 0.41
# Murphy_E = 7.859e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11890196 hash collisions in 69009283 relations (59308710 unique)
Msieve: matrix is 2533812 x 2534037 (868.8 MB)

Sieving start time : 2021/12/26 16:03:11
Sieving end time  : 2021/12/27 09:59:58

Total sieving time: 17hrs 56min 47secs.

Total relation processing time: 2hrs 5min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 2sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] 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)

134364909086968770994517044838870467893288256073510608326290011486032550982814294692586091064733545716576728864616518215113885096330971111544546301714236178835359642849402943024944195219209847647530503<201>

12749606068878043517129333058289<32>

10538749853217448444168804878256490290055574610219309817714191073802302461839100567683874593968220111445276565477169345828410775541352950887483791075931158166627579230327<170>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2171679405
Step 1 took 11591ms
Step 2 took 6645ms
********** Factor found in step 2: 12749606068878043517129333058289
Found probable prime factor of 32 digits: 12749606068878043517129333058289
Composite cofactor 10538749853217448444168804878256490290055574610219309817714191073802302461839100567683874593968220111445276565477169345828410775541352950887483791075931158166627579230327 has 170 digits

GMP-ECM 6.3

10538749853217448444168804878256490290055574610219309817714191073802302461839100567683874593968220111445276565477169345828410775541352950887483791075931158166627579230327<170>

3369988268342758485325089681205322648197935794570953348469347897704155252202703511<82>
3127236362279692555113747962677692294782844391148850265051884238563977391207396596948257<88>

Number: n
N=10538749853217448444168804878256490290055574610219309817714191073802302461839100567683874593968220111445276565477169345828410775541352950887483791075931158166627579230327  ( 170 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sun Jan  2 06:35:43 2022  p82 factor: 3369988268342758485325089681205322648197935794570953348469347897704155252202703511
Sun Jan  2 06:35:43 2022  p88 factor: 3127236362279692555113747962677692294782844391148850265051884238563977391207396596948257
Sun Jan  2 06:35:43 2022  elapsed time 02:58:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 62x10^203-71 = 68(202)1
#
n: 10538749853217448444168804878256490290055574610219309817714191073802302461839100567683874593968220111445276565477169345828410775541352950887483791075931158166627579230327
m: 10000000000000000000000000000000000000000
deg: 5
c5: 62000
c0: -71
skew: 0.26
# Murphy_E = 6.802e-12
type: snfs
lss: 1
rlim: 18100000
alim: 18100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 86650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11953336 hash collisions in 71183055 relations (61670896 unique)
Msieve: matrix is 2754516 x 2754746 (943.2 MB)

Sieving start time : 2021/12/31 17:17:25
Sieving end time  : 2022/01/02 03:36:00

Total sieving time: 34hrs 18min 35secs.

Total relation processing time: 2hrs 35min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 16sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18100000,18100000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] 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)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

81695976852657046322197753010944365436166146213422008865469679518430262566331505351587648862213510585608617140910416191343250216634558794480922128183128013334658022425683908350409901239<185>

25013017453858829510055838660462114468562748011327<50>
7323355800265471863799364177178415971086772533021707637<55>
445989310221711367688565555685877004036090728323854145131433141891166901615061061<81>

Number: n
N=81695976852657046322197753010944365436166146213422008865469679518430262566331505351587648862213510585608617140910416191343250216634558794480922128183128013334658022425683908350409901239  ( 185 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Oct 23 05:20:28 2021  found factor: 25013017453858829510055838660462114468562748011327
Sat Oct 23 05:23:36 2021  p50 factor: 25013017453858829510055838660462114468562748011327
Sat Oct 23 05:23:36 2021  p55 factor: 7323355800265471863799364177178415971086772533021707637
Sat Oct 23 05:23:36 2021  p81 factor: 445989310221711367688565555685877004036090728323854145131433141891166901615061061
Sat Oct 23 05:23:36 2021  elapsed time 02:20:35 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 62x10^204-71 = 68(203)1
#
n: 81695976852657046322197753010944365436166146213422008865469679518430262566331505351587648862213510585608617140910416191343250216634558794480922128183128013334658022425683908350409901239
m: 100000000000000000000000000000000000000000
deg: 5
c5: 31
c0: -355
skew: 1.63
# Murphy_E = 7.338e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9963139 hash collisions in 62543853 relations (54703411 unique)
Msieve: matrix is 2462449 x 2462675 (855.8 MB)

Sieving start time : 2021/10/22 11:35:06
Sieving end time  : 2021/10/23 03:01:56

Total sieving time: 15hrs 26min 50secs.

Total relation processing time: 1hrs 58min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 16sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118892] 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, 5016K rodata, 2728K init, 4972K bss, 487280K reserved, 0K cma-reserved)
[    0.152618] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.150210] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

21738368219908137863328775288383997756039409557869639914449002489393780021738368219908137863328775288383997756039409557869639914449002489393780021738368219908137863328775288383997756039409557869639914449<203>

1992044589428445458309513850536347<34>

10912591181578560405001551748269163655586135754440533142020995560373078762913135822691282148543162231564853201508049592787427632968401896058648082115925417997279147793667<170>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=407351714
Step 1 took 12200ms
Step 2 took 7332ms
********** Factor found in step 2: 1992044589428445458309513850536347
Found probable prime factor of 34 digits: 1992044589428445458309513850536347
Composite cofactor 10912591181578560405001551748269163655586135754440533142020995560373078762913135822691282148543162231564853201508049592787427632968401896058648082115925417997279147793667 has 170 digits

GMP-ECM 6.3

10912591181578560405001551748269163655586135754440533142020995560373078762913135822691282148543162231564853201508049592787427632968401896058648082115925417997279147793667<170>

17622697603075392979514080545066094414619<41>

619235001778284468086385736608983120283475236815663168517515239722278955114199569709346763968146533211521640180487096816505383993<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3515550340
Step 1 took 82493ms
Step 2 took 27505ms
********** Factor found in step 2: 17622697603075392979514080545066094414619
Found probable prime factor of 41 digits: 17622697603075392979514080545066094414619

619235001778284468086385736608983120283475236815663168517515239722278955114199569709346763968146533211521640180487096816505383993<129>

2174079574068111325447407957179933198499303794427222439<55>
284826281965190190641789031353167424011408274358984232531531005767925696287<75>

N = 619235001778284468086385736608983120283475236815663168517515239722278955114199569709346763968146533211521640180487096816505383993 (129 digits)
Divisors found:
r1=2174079574068111325447407957179933198499303794427222439 (pp55)
r2=284826281965190190641789031353167424011408274358984232531531005767925696287 (pp75)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 22.85 hours.
Factorization parameters were as follows:
n: 619235001778284468086385736608983120283475236815663168517515239722278955114199569709346763968146533211521640180487096816505383993
Y0: -9664601482423457716495387
Y1: 108652781695573
c0: 3100016687184878555613259423026400
c1: 19278990942113166835213362540
c2: -5593732744379944988208
c3: -27250380042486731
c4: 4625318262
c5: 7344
skew: 1209322.37
type: gnfs
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19541840
Relations: 2404014 relations
Pruned matrix : 1339075 x 1339307
Polynomial selection time: 0.00 hours.
Total sieving time: 21.30 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.37 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000
total time: 22.85 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

160972548537797041995087537073918584556967590208077878746147985061905963623412258160411949189324627543919139202066417207532606238034420367134336298746164128099296837237795644841<177>

367139675949320189634462181808685811670070055347092960574542327794463999<72>
438450429312950710909698909682232444066510845723477577063370571433404391406078297307941575780868308131159<105>

08/08/24 16:15:48 v1.34.5 @ GEEKOM,
08/08/24 16:15:48 v1.34.5 @ GEEKOM, ****************************
08/08/24 16:15:48 v1.34.5 @ GEEKOM, Starting factorization of 6199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
08/08/24 16:15:48 v1.34.5 @ GEEKOM, using pretesting plan: normal
08/08/24 16:15:48 v1.34.5 @ GEEKOM, no tune info: using qs/gnfs crossover of 100 digits
08/08/24 16:15:48 v1.34.5 @ GEEKOM, ****************************
08/08/24 16:15:48 v1.34.5 @ GEEKOM, div: found prime factor = 3
08/08/24 16:15:48 v1.34.5 @ GEEKOM, div: found prime factor = 3
08/08/24 16:15:48 v1.34.5 @ GEEKOM, div: found prime factor = 3
08/08/24 16:15:48 v1.34.5 @ GEEKOM, div: found prime factor = 3
08/08/24 16:15:48 v1.34.5 @ GEEKOM, div: found prime factor = 17
08/08/24 16:15:48 v1.34.5 @ GEEKOM, div: found prime factor = 191
08/08/24 16:15:48 v1.34.5 @ GEEKOM, rho: x^2 + 3, starting 1000 iterations on C203
08/08/24 16:15:48 v1.34.5 @ GEEKOM, rho: x^2 + 2, starting 1000 iterations on C203
08/08/24 16:15:48 v1.34.5 @ GEEKOM, rho: x^2 + 1, starting 1000 iterations on C203
08/08/24 16:15:48 v1.34.5 @ GEEKOM, pm1: starting B1 = 150K, B2 = gmp-ecm default on C203
08/08/24 16:15:48 v1.34.5 @ GEEKOM, prp14 = 46303709653921
08/08/24 16:15:48 v1.34.5 @ GEEKOM, current ECM pretesting depth: 0.00
08/08/24 16:15:48 v1.34.5 @ GEEKOM, scheduled 30 curves at B1=2000 toward target pretesting depth of 58.15
08/08/24 16:15:48 v1.34.5 @ GEEKOM, prp13 = 3162691095727 (curve 4 stg1 B1=2000 sigma=4247922059 thread=0)
08/08/24 16:15:48 v1.34.5 @ GEEKOM, Finished 4 curves using Lenstra ECM method on C189 input, B1=2K, B2=gmp-ecm default
08/08/24 16:15:48 v1.34.5 @ GEEKOM, current ECM pretesting depth: 0.00
08/08/24 16:15:48 v1.34.5 @ GEEKOM, scheduled 26 curves at B1=2000 toward target pretesting depth of 54.46
08/08/24 16:15:48 v1.34.5 @ GEEKOM, Finished 26 curves using Lenstra ECM method on C177 input, B1=2K, B2=gmp-ecm default
08/08/24 16:15:48 v1.34.5 @ GEEKOM, current ECM pretesting depth: 15.18
08/08/24 16:15:48 v1.34.5 @ GEEKOM, scheduled 74 curves at B1=11000 toward target pretesting depth of 54.46
08/08/24 16:15:50 v1.34.5 @ GEEKOM, Finished 74 curves using Lenstra ECM method on C177 input, B1=11K, B2=gmp-ecm default
08/08/24 16:15:50 v1.34.5 @ GEEKOM, current ECM pretesting depth: 20.24
08/08/24 16:15:50 v1.34.5 @ GEEKOM, scheduled 214 curves at B1=50000 toward target pretesting depth of 54.46
08/08/24 16:16:32 v1.34.5 @ GEEKOM, nfs: commencing nfs on c208: 6199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
08/08/24 16:16:32 v1.34.5 @ GEEKOM, nfs: input divides 62*10^206 - 71
08/08/24 16:16:32 v1.34.5 @ GEEKOM, nfs: using supplied cofactor: 160972548537797041995087537073918584556967590208077878746147985061905963623412258160411949189324627543919139202066417207532606238034420367134336298746164128099296837237795644841
08/08/24 16:16:32 v1.34.5 @ GEEKOM, nfs: commencing snfs on c177: 160972548537797041995087537073918584556967590208077878746147985061905963623412258160411949189324627543919139202066417207532606238034420367134336298746164128099296837237795644841
08/08/24 16:16:32 v1.34.5 @ GEEKOM, gen: best 3 polynomials:
n: 160972548537797041995087537073918584556967590208077878746147985061905963623412258160411949189324627543919139202066417207532606238034420367134336298746164128099296837237795644841
# 62*10^206-71, difficulty: 208.79, anorm: -7.04e+025, rnorm: 1.24e+047
# scaled difficulty: 212.33, suggest sieving rational side
# size = 1.114e-014, alpha = 0.783, combined = 5.238e-012, rroots = 1
type: snfs
size: 208
skew: 0.6483
c5: 620
c0: -71
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 160972548537797041995087537073918584556967590208077878746147985061905963623412258160411949189324627543919139202066417207532606238034420367134336298746164128099296837237795644841
# 62*10^206-71, difficulty: 209.00, anorm: 3.43e+026, rnorm: 1.76e+047
# scaled difficulty: 212.45, suggest sieving rational side
# size = 9.549e-015, alpha = 0.552, combined = 4.763e-012, rroots = 1
type: snfs
size: 208
skew: 1.2966
c5: 155
c0: -568
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 160972548537797041995087537073918584556967590208077878746147985061905963623412258160411949189324627543919139202066417207532606238034420367134336298746164128099296837237795644841
# 62*10^206-71, difficulty: 209.79, anorm: -9.20e+032, rnorm: 1.45e+040
# scaled difficulty: 210.99, suggest sieving rational side
# size = 1.293e-010, alpha = -0.286, combined = 4.004e-012, rroots = 2
type: snfs
size: 209
skew: 0.4748
c6: 6200
c0: -71
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
08/08/24 16:16:34 v1.34.5 @ GEEKOM, test: fb generation took 1.9216 seconds
08/08/24 16:16:34 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 0 on the rational side over range 20200000-20202000
skew: 0.6483
c5: 620
c0: -71
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/08/24 16:20:13 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
08/08/24 16:20:15 v1.34.5 @ GEEKOM, test: fb generation took 1.9918 seconds
08/08/24 16:20:15 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 1.2966
c5: 155
c0: -568
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/08/24 16:23:36 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
08/08/24 16:23:39 v1.34.5 @ GEEKOM, test: fb generation took 2.9785 seconds
08/08/24 16:23:39 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.4748
c6: 6200
c0: -71
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/08/24 16:26:51 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
08/08/24 16:26:51 v1.34.5 @ GEEKOM, gen: selected polynomial:
n: 160972548537797041995087537073918584556967590208077878746147985061905963623412258160411949189324627543919139202066417207532606238034420367134336298746164128099296837237795644841
# 62*10^206-71, difficulty: 208.79, anorm: -7.04e+025, rnorm: 1.24e+047
# scaled difficulty: 212.33, suggest sieving rational side
# size = 1.114e-014, alpha = 0.783, combined = 5.238e-012, rroots = 1
type: snfs
size: 208
skew: 0.6483
c5: 620
c0: -71
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
08/11/24 04:38:27 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/11/24 04:40:15 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 22074652
08/08/24 16:26:51 v1.34.5 @ GEEKOM, test: test sieving took 618.74 seconds
08/11/24 17:49:31 v1.34.5 @ GEEKOM, nfs: previous data file found - commencing search for last special-q
08/11/24 17:49:33 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
08/11/24 17:49:33 v1.34.5 @ GEEKOM, nfs: commencing nfs on c177: 160972548537797041995087537073918584556967590208077878746147985061905963623412258160411949189324627543919139202066417207532606238034420367134336298746164128099296837237795644841
08/11/24 17:49:33 v1.34.5 @ GEEKOM, nfs: resuming with filtering
08/11/24 17:49:33 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/11/24 17:51:24 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 23627427
08/11/24 21:41:34 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/11/24 21:43:32 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 24858432
08/12/24 01:54:13 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/12/24 01:56:25 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 26179080
08/12/24 06:07:57 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/12/24 06:10:03 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 27488132
08/12/24 10:39:25 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
08/12/24 10:43:19 v1.34.5 @ GEEKOM, nfs: commencing msieve linear algebra
08/12/24 15:23:59 v1.34.5 @ GEEKOM, nfs: commencing msieve sqrt
08/12/24 15:27:22 v1.34.5 @ GEEKOM, prp72 = 367139675949320189634462181808685811670070055347092960574542327794463999
08/12/24 15:27:22 v1.34.5 @ GEEKOM, prp105 = 438450429312950710909698909682232444066510845723477577063370571433404391406078297307941575780868308131159
08/12/24 15:27:23 v1.34.5 @ GEEKOM, NFS elapsed time = 77871.3274 seconds.

YAFU

34466704760897169438147574311347918034509970107097289137054433752613619046158325587866330069831856204554107533133049000240825340617318458907866164951186156653<158>

10640565800096291414314301125552572229<38>
3239179702322339310508542633047230279721234221745997829051763053106459059547562259277255407397216828207280123628199112457<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3867452716
Step 1 took 19408ms
Step 2 took 7922ms
********** Factor found in step 2: 10640565800096291414314301125552572229
Found probable prime factor of 38 digits: 10640565800096291414314301125552572229

410188151507084454652065058080435109464766027213667564372433373714473969619571489444386832437727580728283247933<111>

214813308779060274054194028539031756767<39>
1909509954660076767987642727295714385873579054723799981187632889902784099<73>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2150399330
Step 1 took 10405ms
Step 2 took 6958ms
********** Factor found in step 2: 214813308779060274054194028539031756767
Found probable prime factor of 39 digits: 214813308779060274054194028539031756767
Probable prime cofactor 1909509954660076767987642727295714385873579054723799981187632889902784099 has 73 digits

GMP-ECM 6.3

10437930121632175536985956765712827714231109889676212968082477420150738008700824221386677607016135898466983166278717301681575013564353589555816000274331961673120115777615777403380546765253003250537217<200>

5790191531382792645630703986538317428703107403829560084722525716313267240663851<79>
1802691683868949104381758502689595197341634766051552498335978742540851746333621259668295897908503040824664590908418139267<121>

Number: n
N=10437930121632175536985956765712827714231109889676212968082477420150738008700824221386677607016135898466983166278717301681575013564353589555816000274331961673120115777615777403380546765253003250537217  ( 200 digits)
SNFS difficulty: 213 digits.
Divisors found:

Mon Oct 19 11:49:26 2020  p79 factor: 5790191531382792645630703986538317428703107403829560084722525716313267240663851
Mon Oct 19 11:49:26 2020  p121 factor: 1802691683868949104381758502689595197341634766051552498335978742540851746333621259668295897908503040824664590908418139267
Mon Oct 19 11:49:26 2020  elapsed time 00:16:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 62x10^212-71 = 68(211)1
#
n: 10437930121632175536985956765712827714231109889676212968082477420150738008700824221386677607016135898466983166278717301681575013564353589555816000274331961673120115777615777403380546765253003250537217
m: 100000000000000000000000000000000000
deg: 6
c6: 6200
c0: -71
skew: 0.47
# Murphy_E = 2.832e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 60200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10400176 hash collisions in 57546211 relations (48987687 unique)
Msieve: matrix is 3801569 x 3801794 (1334.5 MB)

Sieving start time: 2020/10/18 02:37:16
Sieving end time  : 2020/10/19 04:34:26

Total sieving time: 25hrs 57min 10secs.

Total relation processing time: 4hrs 26min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 53sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118671] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16235804K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 491432K reserved, 0K cma-reserved)
[    0.153508] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.152049] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

17686710895047485929046891390860068037693692012782003636736425731361744879427238296610781064221718216315207174924181678716049073480021118967138066806528845095653649<164>

422739656742737412391799396765103777737989370581630255750819604125405048108792430286376577707759914743271228882679484184545047409764430953176492512326856054217117683606388155564411539821253<189>

13505696484134057610315687207396542172043998043380708554474765631029161679841683502077558048268168373817982123310414677586210166336973376795652016735045670607677150240935250014724943836601539273<194>

1939228343812655345117742587173636027755281<43>

6964469412395724414400887219282737626566096536914345017855771078382532118955354745772117936678678317022004114419569353913029298176668228168002524415033<151>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1997033951
Step 1 took 85092ms
Step 2 took 32005ms
********** Factor found in step 2: 1939228343812655345117742587173636027755281
Found probable prime factor of 43 digits: 1939228343812655345117742587173636027755281

7404545322838073997366071595491751107063348234082632542422328295853336307190140723419867715240319969483048165162107049579826616478823173370983824414233697<154>

392395871506483512129693196365227242695752911986424503861348723109387946982421596666191509176793767123167419365983535148310336189619545278105022418765473741691286781197448455862332766377306853343623<198>

4573753856852563226718971548454704064716959081630000452705606187886477<70>
85792957773313892828060450721449849763307118936959570716260693685147636784607888368286168418901692071307516065013833118828531299<128>

Number: 68881_219
N = 392395871506483512129693196365227242695752911986424503861348723109387946982421596666191509176793767123167419365983535148310336189619545278105022418765473741691286781197448455862332766377306853343623 (198 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=4573753856852563226718971548454704064716959081630000452705606187886477 (pp70)
r2=85792957773313892828060450721449849763307118936959570716260693685147636784607888368286168418901692071307516065013833118828531299 (pp128)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 34.50 hours.
Factorization parameters were as follows:
n: 392395871506483512129693196365227242695752911986424503861348723109387946982421596666191509176793767123167419365983535148310336189619545278105022418765473741691286781197448455862332766377306853343623
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 31
c0: -355
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8524124 relations
Pruned matrix : 7272939 x 7273164
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 27.10 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 6.08 hours.
time per square root: 1.05 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 34.50 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

15777490714860984196083465370057944788458958361214134909993610137375684673658022838810604261528217321053640221985816673703789766987228684661724734370961197371101779317563365150826541286160399687821272545053<206>

12560200755169825450861119519275271691511387576224772767<56>
251368247723496007582445117853741064687701202068163923084281<60>
4997248365183817412497210894681785559546626523141558712784918509200207507209879137371568539<91>

Number: 68881_220
N = 15777490714860984196083465370057944788458958361214134909993610137375684673658022838810604261528217321053640221985816673703789766987228684661724734370961197371101779317563365150826541286160399687821272545053 (206 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=12560200755169825450861119519275271691511387576224772767 (pp56)
r2=251368247723496007582445117853741064687701202068163923084281 (pp60)
r3=4997248365183817412497210894681785559546626523141558712784918509200207507209879137371568539 (pp91)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 105.46 hours.
Factorization parameters were as follows:
n: 15777490714860984196083465370057944788458958361214134909993610137375684673658022838810604261528217321053640221985816673703789766987228684661724734370961197371101779317563365150826541286160399687821272545053
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 62
c0: -71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 8896978 relations
Pruned matrix : 7711335 x 7711560
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 49.25 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 55.09 hours.
time per square root: 0.64 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 105.46 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

14359193376754265923457367271621617606995509438076069391701000873676775282035223908392533972194526333907249379551720329775654718712011659335108468677216887002200611826249280999593222076700654493407<197>

1274168496513071996093309789461472836062550279403080721<55>
11269461940120218284648518947045608846390954918319504367603881458315313156993422896225289888929642159146673401635989836285063226434967285853167<143>

Number: 68881_221
N = 14359193376754265923457367271621617606995509438076069391701000873676775282035223908392533972194526333907249379551720329775654718712011659335108468677216887002200611826249280999593222076700654493407 (197 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1274168496513071996093309789461472836062550279403080721 (pp55)
r2=11269461940120218284648518947045608846390954918319504367603881458315313156993422896225289888929642159146673401635989836285063226434967285853167 (pp143)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 71.70 hours.
Factorization parameters were as follows:
n: 14359193376754265923457367271621617606995509438076069391701000873676775282035223908392533972194526333907249379551720329775654718712011659335108468677216887002200611826249280999593222076700654493407
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 620
c0: -71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 0
Relations: 8996492 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 42.71 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 7702893 x 7703118
Matrix solve time: 28.28 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 71.70 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

3578394072012340506221332650024186807895987416976045895052826285148586194341375013977357655272086413459321378315798530018280141892684773491257632423500250523452320448902427202804171032096851<190>

275650938056510744107494124056010559033141<42>
46491739495817452758128011197872191572738608777166954892398488699<65>
279224097101595721011725275057109989956072149329472491328893501793997911667336233989<84>

Number: 68881_222
N = 3578394072012340506221332650024186807895987416976045895052826285148586194341375013977357655272086413459321378315798530018280141892684773491257632423500250523452320448902427202804171032096851 (190 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=275650938056510744107494124056010559033141 (pp42)
r2=46491739495817452758128011197872191572738608777166954892398488699 (pp65)
r3=279224097101595721011725275057109989956072149329472491328893501793997911667336233989 (pp84)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 110.93 hours.
Factorization parameters were as follows:
n: 3578394072012340506221332650024186807895987416976045895052826285148586194341375013977357655272086413459321378315798530018280141892684773491257632423500250523452320448902427202804171032096851
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 6200
c0: -71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 34499530
Relations: 10641420 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 36.45 hours.
Total relation processing time: 0.45 hours.
Pruned matrix : 9054065 x 9054290
Matrix solve time: 72.44 hours.
time per square root: 1.59 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 110.93 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

58540122606642614937715836888536765270020849385030558497833722077034504413515885955054740237857568048932137480387797056022505887035525969875122782057145124099283360955346379<173>

542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503<225>

4132446890870384445422483561176857756509865349<46>
131261746442252493107033918767617521538819210850204883405746312700419189380631395455009181260738159796820497492370557851125919420473344643364920796367780933113677788142786300010947<180>

N=542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503
  ( 225 digits)
SNFS difficulty: 229 digits.
Divisors found:
 r1=4132446890870384445422483561176857756509865349 (pp46)
 r2=131261746442252493107033918767617521538819210850204883405746312700419189380631395455009181260738159796820497492370557851125919420473344643364920796367780933113677788142786300010947 (pp180)
Version: Msieve v. 1.52 (SVN unknown)
Total time:
Scaled time: 182.91 units (timescale=1.818).
Factorization parameters were as follows:
n: 542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503062117235345581802274715660542432195975503
m: 100000000000000000000000000000000000000
deg: 6
c6: 31
c0: -3550
skew: 2.20
# Murphy_E = 8.501e-13
type: snfs
lss: 1
rlim: 47000000
alim: 47000000
lpbr: 30
lpba: 30
mfbr: 59
mfba: 59
rlambda: 2.7
alambda: 2.7
Factor base limits: 47000000/47000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 59/59
Sieved rational special-q in [23500000, 58800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6843112 x 6843337
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,229.000,6,0,0,0,0,0,0,0,0,47000000,47000000,30,30,59,59,2.7,2.7,100000
total time:

93339014149226152013207118502145778385816239773643438308791156793748810530460873977374364048795939658951123714802762531589162736468710051738327091748958008278359987324946995909655451769203361355072945475811796453019<215>

12735217188964283016813664528724022356926063<44>

7329204737089932098178916255554671513226825564469135447057359801496258664264686556023255610951505337253924383519419174567204001712785874730864518921706706164989800190603413<172>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2390026345
Step 1 took 138359ms
Step 2 took 38922ms
********** Factor found in step 2: 12735217188964283016813664528724022356926063
Found probable prime factor of 44 digits: 12735217188964283016813664528724022356926063

329145240381803193536403750772060742196727082680286790021706999368589853038272897639444850908119715572871154334173198264121732967922206788316090006259064277799305254749347158255935675961711042126740978775960263<210>

1101013718410602893496201192225800832260675914908277481461799712684860598098783487133692574963741961557230226033383213959426888646414786221764121208651657713440533139189901143109<178>

21479148369021395180833985778170623004150923036090390691767344233916420928159107766891197846872527209932343017250480136688538387288645957359579607394516512396209<161>

6628045608545609989308621297593491425112434574435629146907901523867568288528349790984432240783874436796837890675735848393755093987584851615261331263727553<154>

18200774584818771535605008140312765352489419<44>
364162831513448286577608624339866208516199567631140230169588578311836810441167844434389764278775780014790109987<111>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2857725091
Step 1 took 81919ms
Step 2 took 28771ms
********** Factor found in step 2: 18200774584818771535605008140312765352489419
Found probable prime factor of 44 digits: 18200774584818771535605008140312765352489419

80792198754334822250817102127285760043075454574599627014384931575094097311811490702643160392132876162192921656937524072411851531042851475407803443170110209522475015076654461741704970332621453423289762446754949063923949<218>

7103954688146604593904834291285239<34>
11372848265648666036267710560839523029738438069761698447175815647809120368270923867407237870250073603899243602327208957857948761722097618776960397217761531413016538452174798358523384891<185>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1723792813
Step 1 took 30845ms
********** Factor found in step 1: 7103954688146604593904834291285239
Found probable prime factor of 34 digits: 7103954688146604593904834291285239

30961143764256740180605271371551115850128009728348285498827269273217107839637921669803834967146680006344888634787744712965616413278220155576624298958764696954513969420890062218091400624878100408587202520785909<209>

635150133085244330853190802398693<33>

48746181652931189016932892288888971360849644072165606504729631555569621099151872895225618110264624775786278275747218008121066671333753057851138539294402599051570461163607215313<176>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=325253781
Step 1 took 12074ms
Step 2 took 7270ms
********** Factor found in step 2: 635150133085244330853190802398693
Found probable prime factor of 33 digits: 635150133085244330853190802398693
Composite cofactor 48746181652931189016932892288888971360849644072165606504729631555569621099151872895225618110264624775786278275747218008121066671333753057851138539294402599051570461163607215313 has 176 digits

GMP-ECM 6.3

48746181652931189016932892288888971360849644072165606504729631555569621099151872895225618110264624775786278275747218008121066671333753057851138539294402599051570461163607215313<176>

162098638894115104493687372361805115260979<42>
300719253323112822259951546406622362982153539649612701231967466091413455996314076105956606369421175769420373070717634734029888860416747<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2211311569
Step 1 took 94479ms
Step 2 took 28736ms
********** Factor found in step 2: 162098638894115104493687372361805115260979
Found probable prime factor of 42 digits: 162098638894115104493687372361805115260979

102938413633937859631344852742506149420018168413558595584661121922301143577016960942096464253459260165258982119720783599639564260304087659791442074983043450986177871570147782168758776461079812807313059698328983019330561033777<225>

36183212103481642017665972475867748403<38>
2844921930632931836935334940961226225232856648833870563127834296982279150488145606224932365177333458739560373623526083983045219569092441525321479971450360034251268205259827767787261826059<187>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1147332056
Step 1 took 30578ms
Step 2 took 11402ms
********** Factor found in step 2: 36183212103481642017665972475867748403
Found probable prime factor of 38 digits: 36183212103481642017665972475867748403