2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<109>

98977571642142365276984929935548439173343598577<47>
28064719427760380820022102182615812657550236296462577237567549<62>

Fri Sep 12 05:02:50 2008  Msieve v. 1.36
Fri Sep 12 05:02:50 2008  random seeds: 9881df76 48087ea0
Fri Sep 12 05:02:50 2008  factoring 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773 (109 digits)
Fri Sep 12 05:02:52 2008  no P-1/P+1/ECM available, skipping
Fri Sep 12 05:02:52 2008  commencing quadratic sieve (109-digit input)
Fri Sep 12 05:02:52 2008  using multiplier of 5
Fri Sep 12 05:02:52 2008  using 32kb Intel Core sieve core
Fri Sep 12 05:02:52 2008  sieve interval: 50 blocks of size 32768
Fri Sep 12 05:02:52 2008  processing polynomials in batches of 5
Fri Sep 12 05:02:52 2008  using a sieve bound of 5812619 (200667 primes)
Fri Sep 12 05:02:52 2008  using large prime bound of 871892850 (29 bits)
Fri Sep 12 05:02:52 2008  using double large prime bound of 12383220374195100 (45-54 bits)
Fri Sep 12 05:02:52 2008  using trial factoring cutoff of 54 bits
Fri Sep 12 05:02:52 2008  polynomial 'A' values have 14 factors
Mon Sep 15 10:59:05 2008  201065 relations (48104 full + 152961 combined from 2940810 partial), need 200763
Mon Sep 15 10:59:18 2008  begin with 2988914 relations
Mon Sep 15 10:59:21 2008  reduce to 528487 relations in 12 passes
Mon Sep 15 10:59:21 2008  attempting to read 528487 relations
Mon Sep 15 10:59:38 2008  recovered 528487 relations
Mon Sep 15 10:59:38 2008  recovered 519328 polynomials
Mon Sep 15 10:59:39 2008  attempting to build 201065 cycles
Mon Sep 15 10:59:39 2008  found 201065 cycles in 7 passes
Mon Sep 15 10:59:39 2008  distribution of cycle lengths:
Mon Sep 15 10:59:39 2008     length 1 : 48104
Mon Sep 15 10:59:39 2008     length 2 : 34121
Mon Sep 15 10:59:39 2008     length 3 : 33987
Mon Sep 15 10:59:39 2008     length 4 : 27116
Mon Sep 15 10:59:39 2008     length 5 : 21113
Mon Sep 15 10:59:39 2008     length 6 : 14366
Mon Sep 15 10:59:39 2008     length 7 : 9281
Mon Sep 15 10:59:39 2008     length 9+: 12977
Mon Sep 15 10:59:39 2008  largest cycle: 21 relations
Mon Sep 15 10:59:40 2008  matrix is 200667 x 201065 (61.2 MB) with weight 15238112 (75.79/col)
Mon Sep 15 10:59:40 2008  sparse part has weight 15238112 (75.79/col)
Mon Sep 15 10:59:42 2008  filtering completed in 3 passes
Mon Sep 15 10:59:42 2008  matrix is 192791 x 192855 (59.0 MB) with weight 14697710 (76.21/col)
Mon Sep 15 10:59:42 2008  sparse part has weight 14697710 (76.21/col)
Mon Sep 15 10:59:44 2008  saving the first 48 matrix rows for later
Mon Sep 15 10:59:44 2008  matrix is 192743 x 192855 (40.9 MB) with weight 12213594 (63.33/col)
Mon Sep 15 10:59:44 2008  sparse part has weight 9571959 (49.63/col)
Mon Sep 15 10:59:44 2008  matrix includes 64 packed rows
Mon Sep 15 10:59:44 2008  using block size 65536 for processor cache size 2048 kB
Mon Sep 15 10:59:46 2008  commencing Lanczos iteration
Mon Sep 15 10:59:46 2008  memory use: 36.9 MB
Mon Sep 15 11:04:34 2008  lanczos halted after 3049 iterations (dim = 192738)
Mon Sep 15 11:04:35 2008  recovered 15 nontrivial dependencies
Mon Sep 15 11:04:38 2008  prp47 factor: 98977571642142365276984929935548439173343598577
Mon Sep 15 11:04:38 2008  prp62 factor: 28064719427760380820022102182615812657550236296462577237567549
Mon Sep 15 11:04:38 2008  elapsed time 78:01:48

7378320708834939980942794923012846889957608886051853826338735120290578568531951753293925463<91>

80335719249839503097507848265209<32>
91843588104175473506416389257508387935075613929940942541007<59>

Wed Sep 10 21:25:51 2008  Msieve v. 1.36
Wed Sep 10 21:25:51 2008  random seeds: e69762f8 0dfdb476
Wed Sep 10 21:25:51 2008  factoring 7378320708834939980942794923012846889957608886051853826338735120290578568531951753293925463 (91 digits)
Wed Sep 10 21:25:53 2008  no P-1/P+1/ECM available, skipping
Wed Sep 10 21:25:53 2008  commencing quadratic sieve (91-digit input)
Wed Sep 10 21:25:53 2008  using multiplier of 15
Wed Sep 10 21:25:53 2008  using 64kb Pentium 4 sieve core
Wed Sep 10 21:25:53 2008  sieve interval: 18 blocks of size 65536
Wed Sep 10 21:25:53 2008  processing polynomials in batches of 6
Wed Sep 10 21:25:53 2008  using a sieve bound of 1719863 (64695 primes)
Wed Sep 10 21:25:53 2008  using large prime bound of 165106848 (27 bits)
Wed Sep 10 21:25:53 2008  using double large prime bound of 619408411789728 (42-50 bits)
Wed Sep 10 21:25:53 2008  using trial factoring cutoff of 50 bits
Wed Sep 10 21:25:53 2008  polynomial 'A' values have 12 factors
Thu Sep 11 00:35:10 2008  64893 relations (16878 full + 48015 combined from 766514 partial), need 64791
Thu Sep 11 00:35:13 2008  begin with 783392 relations
Thu Sep 11 00:35:13 2008  reduce to 162113 relations in 11 passes
Thu Sep 11 00:35:13 2008  attempting to read 162113 relations
Thu Sep 11 00:35:18 2008  recovered 162113 relations
Thu Sep 11 00:35:18 2008  recovered 143629 polynomials
Thu Sep 11 00:35:18 2008  attempting to build 64893 cycles
Thu Sep 11 00:35:18 2008  found 64893 cycles in 6 passes
Thu Sep 11 00:35:18 2008  distribution of cycle lengths:
Thu Sep 11 00:35:18 2008     length 1 : 16878
Thu Sep 11 00:35:18 2008     length 2 : 12100
Thu Sep 11 00:35:18 2008     length 3 : 11142
Thu Sep 11 00:35:18 2008     length 4 : 8604
Thu Sep 11 00:35:18 2008     length 5 : 6293
Thu Sep 11 00:35:18 2008     length 6 : 4176
Thu Sep 11 00:35:18 2008     length 7 : 2556
Thu Sep 11 00:35:18 2008     length 9+: 3144
Thu Sep 11 00:35:18 2008  largest cycle: 20 relations
Thu Sep 11 00:35:19 2008  matrix is 64695 x 64893 (16.0 MB) with weight 3929052 (60.55/col)
Thu Sep 11 00:35:19 2008  sparse part has weight 3929052 (60.55/col)
Thu Sep 11 00:35:20 2008  filtering completed in 3 passes
Thu Sep 11 00:35:20 2008  matrix is 60904 x 60968 (15.1 MB) with weight 3714849 (60.93/col)
Thu Sep 11 00:35:20 2008  sparse part has weight 3714849 (60.93/col)
Thu Sep 11 00:35:20 2008  saving the first 48 matrix rows for later
Thu Sep 11 00:35:20 2008  matrix is 60856 x 60968 (8.8 MB) with weight 2835309 (46.50/col)
Thu Sep 11 00:35:20 2008  sparse part has weight 1949848 (31.98/col)
Thu Sep 11 00:35:20 2008  matrix includes 64 packed rows
Thu Sep 11 00:35:20 2008  using block size 21845 for processor cache size 512 kB
Thu Sep 11 00:35:21 2008  commencing Lanczos iteration
Thu Sep 11 00:35:21 2008  memory use: 9.0 MB
Thu Sep 11 00:35:58 2008  lanczos halted after 964 iterations (dim = 60856)
Thu Sep 11 00:35:58 2008  recovered 19 nontrivial dependencies
Thu Sep 11 00:35:59 2008  prp32 factor: 80335719249839503097507848265209
Thu Sep 11 00:35:59 2008  prp59 factor: 91843588104175473506416389257508387935075613929940942541007
Thu Sep 11 00:35:59 2008  elapsed time 03:10:08

Pentium 4 2.4GHz, Windows XP and Cygwin)

113214440690298876930409804982827475135878499928767738206477752612924758900904609194007965414817914475248327611<111>

332379232893091453153280727133385117857511762001897881<54>
340618274207022680190491805403099427972738440448723209331<57>

Number: 27773_117
N=113214440690298876930409804982827475135878499928767738206477752612924758900904609194007965414817914475248327611
  ( 111 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=332379232893091453153280727133385117857511762001897881 (pp54)
 r2=340618274207022680190491805403099427972738440448723209331 (pp57)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.08 hours.
Scaled time: 0.98 units (timescale=0.473).
Factorization parameters were as follows:
name: 27773_117
n: 113214440690298876930409804982827475135878499928767738206477752612924758900904609194007965414817914475248327611
m: 500000000000000000000000
c5: 4
c0: -215
skew: 2.22
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:64043, largePrimes:2098489 encountered
Relations: rels:2176365, finalFF:225353
Max relations in full relation-set: 28
Initial matrix: 113205 x 225353 with sparse part having weight 18857668.
Pruned matrix : 86361 x 86991 with weight 4764692.
Total sieving time: 1.91 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,119,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.08 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

1107901997094104452594768197905015821872713125836258972221023391495310813044300088873487367827302532099280516551<112>

12296099279101296181724216494604921968343<41>
90101907275351747216622783339526222453849108310187602759487276953447057<71>

Number: n
N=1107901997094104452594768197905015821872713125836258972221023391495310813044300088873487367827302532099280516551
  ( 112 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=12296099279101296181724216494604921968343 (pp41)
 r2=90101907275351747216622783339526222453849108310187602759487276953447057 (pp71)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.58 hours.
Scaled time: 2.87 units (timescale=1.813).
Factorization parameters were as follows:
name: KA_2_7_121_3
n: 1107901997094104452594768197905015821872713125836258972221023391495310813044300088873487367827302532099280516551
type: snfs
skew: 2.22
deg: 5
c5: 4
c0: -215
m: 5000000000000000000000000
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved algebraic special-q in [100000, 260001)
Primes: RFBsize:49098, AFBsize:49151, largePrimes:4627065 encountered
Relations: rels:3986750, finalFF:176484
Max relations in full relation-set: 48
Initial matrix: 98313 x 176484 with sparse part having weight 18651096.
Pruned matrix : 80127 x 80682 with weight 4849535.
Total sieving time: 1.44 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.03 hours.
Total square root time: 0.05 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,600000,600000,28,28,52,52,2.5,2.5,50000
total time: 1.58 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4342112944703132326197740951319412899341521838472865926258815265174619316324832004333726812259<94>

197767387776465112016466741177603017<36>
21955657065213338757728221623461856918053744589286504372427<59>

Thu Sep 11 05:57:41 2008  Msieve v. 1.36
Thu Sep 11 05:57:41 2008  random seeds: 19311b63 c69426e7
Thu Sep 11 05:57:41 2008  factoring 4342112944703132326197740951319412899341521838472865926258815265174619316324832004333726812259 (94 digits)
Thu Sep 11 05:57:43 2008  no P-1/P+1/ECM available, skipping
Thu Sep 11 05:57:43 2008  commencing quadratic sieve (94-digit input)
Thu Sep 11 05:57:43 2008  using multiplier of 19
Thu Sep 11 05:57:43 2008  using 64kb Pentium 4 sieve core
Thu Sep 11 05:57:43 2008  sieve interval: 18 blocks of size 65536
Thu Sep 11 05:57:43 2008  processing polynomials in batches of 6
Thu Sep 11 05:57:43 2008  using a sieve bound of 2058671 (76471 primes)
Thu Sep 11 05:57:43 2008  using large prime bound of 284096598 (28 bits)
Thu Sep 11 05:57:43 2008  using double large prime bound of 1645276127747088 (42-51 bits)
Thu Sep 11 05:57:43 2008  using trial factoring cutoff of 51 bits
Thu Sep 11 05:57:43 2008  polynomial 'A' values have 12 factors
Thu Sep 11 10:30:36 2008  76676 relations (19493 full + 57183 combined from 1084674 partial), need 76567
Thu Sep 11 10:30:40 2008  begin with 1104167 relations
Thu Sep 11 10:30:41 2008  reduce to 195866 relations in 10 passes
Thu Sep 11 10:30:41 2008  attempting to read 195866 relations
Thu Sep 11 10:30:47 2008  recovered 195866 relations
Thu Sep 11 10:30:47 2008  recovered 176093 polynomials
Thu Sep 11 10:30:48 2008  attempting to build 76676 cycles
Thu Sep 11 10:30:48 2008  found 76676 cycles in 5 passes
Thu Sep 11 10:30:48 2008  distribution of cycle lengths:
Thu Sep 11 10:30:48 2008     length 1 : 19493
Thu Sep 11 10:30:48 2008     length 2 : 13874
Thu Sep 11 10:30:48 2008     length 3 : 13105
Thu Sep 11 10:30:48 2008     length 4 : 10291
Thu Sep 11 10:30:48 2008     length 5 : 7656
Thu Sep 11 10:30:48 2008     length 6 : 5026
Thu Sep 11 10:30:48 2008     length 7 : 3090
Thu Sep 11 10:30:48 2008     length 9+: 4141
Thu Sep 11 10:30:48 2008  largest cycle: 20 relations
Thu Sep 11 10:30:48 2008  matrix is 76471 x 76676 (20.2 MB) with weight 4983164 (64.99/col)
Thu Sep 11 10:30:48 2008  sparse part has weight 4983164 (64.99/col)
Thu Sep 11 10:30:50 2008  filtering completed in 3 passes
Thu Sep 11 10:30:50 2008  matrix is 72258 x 72322 (19.2 MB) with weight 4734465 (65.46/col)
Thu Sep 11 10:30:50 2008  sparse part has weight 4734465 (65.46/col)
Thu Sep 11 10:30:50 2008  saving the first 48 matrix rows for later
Thu Sep 11 10:30:51 2008  matrix is 72210 x 72322 (12.7 MB) with weight 3804435 (52.60/col)
Thu Sep 11 10:30:51 2008  sparse part has weight 2885271 (39.89/col)
Thu Sep 11 10:30:51 2008  matrix includes 64 packed rows
Thu Sep 11 10:30:51 2008  using block size 21845 for processor cache size 512 kB
Thu Sep 11 10:30:51 2008  commencing Lanczos iteration
Thu Sep 11 10:30:51 2008  memory use: 11.8 MB
Thu Sep 11 10:31:50 2008  lanczos halted after 1143 iterations (dim = 72210)
Thu Sep 11 10:31:50 2008  recovered 18 nontrivial dependencies
Thu Sep 11 10:31:51 2008  prp36 factor: 197767387776465112016466741177603017
Thu Sep 11 10:31:51 2008  prp59 factor: 21955657065213338757728221623461856918053744589286504372427
Thu Sep 11 10:31:51 2008  elapsed time 04:34:10

Pentium 4 2.4GHz, Windows XP and Cygwin)

76389088242259230546878135267029828620090034029365369180195758708686390425923652120904945814321<95>

381306168368381458964149411069297<33>
200335306845756080003950949178160433159808858651862484975520193<63>

Number: 27773_125
N=76389088242259230546878135267029828620090034029365369180195758708686390425923652120904945814321
  ( 95 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=381306168368381458964149411069297
 r2=200335306845756080003950949178160433159808858651862484975520193
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
n: 76389088242259230546878135267029828620090034029365369180195758708686390425923652120904945814321
Y1: 1
Y0: -10000000000000000000000000
c5: 25
c0: -43
skew: 1.11
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 600001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 113348 x 113566
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.60 hours.

Msieve 1.37

Opteron-2.2GHz; Linux x86_64

2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<133>

91185321297776872404938800679692229995674932806297<50>
30462992708076369935379615201255241888123967336490277389467361391384334239604056309<83>

Number: 27773_132
N=2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 133 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=91185321297776872404938800679692229995674932806297 (pp50)
 r2=30462992708076369935379615201255241888123967336490277389467361391384334239604056309 (pp83)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.65 hours.
Scaled time: 6.31 units (timescale=2.382).
Factorization parameters were as follows:
n: 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
m: 500000000000000000000000000
c5: 4
c0: -215
skew: 2.22
type: snfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved algebraic special-q in [600000, 1200001)
Primes: RFBsize:92938, AFBsize:93049, largePrimes:2380853 encountered
Relations: rels:2288460, finalFF:236025
Max relations in full relation-set: 28
Initial matrix: 186051 x 236025 with sparse part having weight 12189200.
Pruned matrix : 164924 x 165918 with weight 6809779.
Total sieving time: 2.54 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,46,46,2.2,2.2,50000
total time: 2.65 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.05 BogoMIPS (lpj=2672026)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

7592922789900736215977182615340711041741161887250275039784231201917045291412141943209741657646425920334073674764929037<118>

1364825535132809236399287376342620506894869<43>
5563291859982587204588404791822161196008037539326329882180989274171637224473<76>

Number: 27773_135
N=7592922789900736215977182615340711041741161887250275039784231201917045291412141943209741657646425920334073674764929037
  ( 118 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=1364825535132809236399287376342620506894869 (pp43)
 r2=5563291859982587204588404791822161196008037539326329882180989274171637224473 (pp76)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.93 hours.
Scaled time: 6.95 units (timescale=0.778).
Factorization parameters were as follows:
name: 27773_135
n: 7592922789900736215977182615340711041741161887250275039784231201917045291412141943209741657646425920334073674764929037
m: 1000000000000000000000000000
c5: 25
c0: -43
skew: 1.11
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1525001)
Primes: RFBsize:78498, AFBsize:63718, largePrimes:1599745 encountered
Relations: rels:1612334, finalFF:178104
Max relations in full relation-set: 28
Initial matrix: 142280 x 178104 with sparse part having weight 16706176.
Pruned matrix : 132155 x 132930 with weight 10824903.
Total sieving time: 8.73 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.93 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

505754691684193538361759780341565552359166040090181804723821047319728569316991723580215967720444203699416467812879368361655303<126>

3450507775979522920422222278082125473<37>
18317658128532632830435818365348120635739<41>
8001786516984967398026373100632236071167857872549<49>

Number: 27773_137
N=505754691684193538361759780341565552359166040090181804723821047319728569316991723580215967720444203699416467812879368361655303
  ( 126 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=3450507775979522920422222278082125473 (pp37)
 r2=18317658128532632830435818365348120635739 (pp41)
 r3=8001786516984967398026373100632236071167857872549 (pp49)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.32 hours.
Scaled time: 8.37 units (timescale=1.005).
Factorization parameters were as follows:
name: 27773_137
n: 505754691684193538361759780341565552359166040090181804723821047319728569316991723580215967720444203699416467812879368361655303
m: 5000000000000000000000000000
c5: 4
c0: -215
skew: 2.22
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:64043, largePrimes:1675641 encountered
Relations: rels:1732833, finalFF:212605
Max relations in full relation-set: 28
Initial matrix: 142605 x 212605 with sparse part having weight 21652651.
Pruned matrix : 126227 x 127004 with weight 11457432.
Total sieving time: 8.18 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.32 hours.
 --------- CPU info (if available) ----------

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

802508340625796592750740934904214903221912043435135793932312557736238617400120237419203039842903464308882342049139325163<120>

790851346784577684398460172607720171516872020779<48>
1014739803995546828170875314780552789730502310354605465076404664637362497<73>

Number: 27773_138
N=802508340625796592750740934904214903221912043435135793932312557736238617400120237419203039842903464308882342049139325163
  ( 120 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=790851346784577684398460172607720171516872020779 (pp48)
 r2=1014739803995546828170875314780552789730502310354605465076404664637362497 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.93 hours.
Scaled time: 8.46 units (timescale=0.774).
Factorization parameters were as follows:
name: 27773_142
n: 802508340625796592750740934904214903221912043435135793932312557736238617400120237419203039842903464308882342049139325163
m: 5000000000000000000000000000
c5: 8
c0: -43
skew: 1.4
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1825001)
Primes: RFBsize:78498, AFBsize:64453, largePrimes:1658794 encountered
Relations: rels:1698186, finalFF:193639
Max relations in full relation-set: 28
Initial matrix: 143016 x 193639 with sparse part having weight 20004298.
Pruned matrix : 130828 x 131607 with weight 12027837.
Total sieving time: 10.71 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 10.93 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

12349665575145153005345838457224467517841859428044691619956472747422827816639099804751127362518567750321334204609<113>

5428210099470840332597507186448961<34>
2275089826819532792479137350314839096344705558799489784040259764474500966858369<79>

Number: 27773_142
N=12349665575145153005345838457224467517841859428044691619956472747422827816639099804751127362518567750321334204609
  ( 113 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=5428210099470840332597507186448961 (pp34)
 r2=2275089826819532792479137350314839096344705558799489784040259764474500966858369 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.10 hours.
Scaled time: 10.21 units (timescale=1.011).
Factorization parameters were as follows:
name: 27773_142
n: 12349665575145153005345838457224467517841859428044691619956472747422827816639099804751127362518567750321334204609
m: 50000000000000000000000000000
c5: 4
c0: -215
skew: 2.22
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1950001)
Primes: RFBsize:100021, AFBsize:100053, largePrimes:2707861 encountered
Relations: rels:2659320, finalFF:231209
Max relations in full relation-set: 28
Initial matrix: 200138 x 231209 with sparse part having weight 23015066.
Pruned matrix : 191293 x 192357 with weight 17221770.
Total sieving time: 9.82 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 10.10 hours.
 --------- CPU info (if available) ----------

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

20815601078356562064503124725400652747410365578867945961019649105650703080767636481047357966104622464152293249<110>

8226588327582747533833817658727<31>
2530283545192651715467543393327713035545251849149594450020225834649504085392087<79>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3216840893
Step 1 took 4375ms
Step 2 took 4197ms
********** Factor found in step 2: 8226588327582747533833817658727
Found probable prime factor of 31 digits: 8226588327582747533833817658727
Probable prime cofactor 2530283545192651715467543393327713035545251849149594450020225834649504085392087 has 79 digits

GMP-ECM 6.2.1

2470965790121598028563385922026799376277420920856636335118189769521140183570701413099038001314908717575196572384098235030997<124>

9361636002439421548832013290405714726713563748317735359487143<61>
263945937385059899912750880407649594646514339637183924419826979<63>

Number: 27773_145
N=2470965790121598028563385922026799376277420920856636335118189769521140183570701413099038001314908717575196572384098235030997
  ( 124 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=9361636002439421548832013290405714726713563748317735359487143 (pp61)
 r2=263945937385059899912750880407649594646514339637183924419826979 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.36 hours.
Scaled time: 18.96 units (timescale=0.778).
Factorization parameters were as follows:
name: 27773_145
n: 2470965790121598028563385922026799376277420920856636335118189769521140183570701413099038001314908717575196572384098235030997
m: 100000000000000000000000000000
c5: 25
c0: -43
skew: 1.11
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 3450001)
Primes: RFBsize:114155, AFBsize:113677, largePrimes:2999915 encountered
Relations: rels:3045828, finalFF:292596
Max relations in full relation-set: 28
Initial matrix: 227896 x 292596 with sparse part having weight 34011955.
Pruned matrix : 209927 x 211130 with weight 23189695.
Total sieving time: 23.70 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 24.36 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

690275708777466108659015857296291355238347134374660344919281622761788307051929376602579065219307615957827509927638499885773410405245892677583<141>

7093738736322567193255076634889767778935410319128407547<55>
97307743410819327218171555923430401617608483828797046105780850465138527911441189609789<86>

Number: n
N=690275708777466108659015857296291355238347134374660344919281622761788307051929376602579065219307615957827509927638499885773410405245892677583
  ( 141 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=7093738736322567193255076634889767778935410319128407547 (pp55)
 r2=97307743410819327218171555923430401617608483828797046105780850465138527911441189609789 (pp86)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 14.80 hours.
Scaled time: 26.61 units (timescale=1.798).
Factorization parameters were as follows:
name: KA_2_7_149_3
n: 690275708777466108659015857296291355238347134374660344919281622761788307051929376602579065219307615957827509927638499885773410405245892677583
type: snfs
skew: 1.11
deg: 5
c5: 25
c0: -43
m: 1000000000000000000000000000000
rlim: 1600000
alim: 1600000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved algebraic special-q in [100000, 960001)
Primes: RFBsize:121127, AFBsize:120625, largePrimes:10273485 encountered
Relations: rels:9213877, finalFF:294423
Max relations in full relation-set: 48
Initial matrix: 241816 x 294423 with sparse part having weight 47230275.
Pruned matrix : 227056 x 228329 with weight 31481125.
Total sieving time: 13.74 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.78 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,1600000,1600000,28,28,52,52,2.5,2.5,100000
total time: 14.80 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

285736040292670853957964209651635759654923438991468283221845678871226287254773670813818454574097166010637334422447449194029<123>

1979428177393314368570122123308590554452839<43>
144352820453911733686418927078964022953285009748700229868308507688975473906555211<81>

Number: 27773_152
N=285736040292670853957964209651635759654923438991468283221845678871226287254773670813818454574097166010637334422447449194029
  ( 123 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=1979428177393314368570122123308590554452839 (pp43)
 r2=144352820453911733686418927078964022953285009748700229868308507688975473906555211 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 31.41 hours.
Scaled time: 31.60 units (timescale=1.006).
Factorization parameters were as follows:
name: 27773_152
n: 285736040292670853957964209651635759654923438991468283221845678871226287254773670813818454574097166010637334422447449194029
m: 5000000000000000000000000000000
c5: 4
c0: -215
skew: 2.22
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2500001)
Primes: RFBsize:176302, AFBsize:176203, largePrimes:6287534 encountered
Relations: rels:6809416, finalFF:1013312
Max relations in full relation-set: 28
Initial matrix: 352569 x 1013312 with sparse part having weight 97004807.
Pruned matrix : 226092 x 227918 with weight 43662774.
Total sieving time: 30.70 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 31.41 hours.
 --------- CPU info (if available) ----------

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

520900543633675770740076921288124839804013151855325091973855979598655668095461137038511238639282952079<102>

80602305649128280728158724072025600598519<41>
6462601031553857846813389871404198724474243802915238445011241<61>

Wed Sep 10 22:58:26 2008  
Wed Sep 10 22:58:26 2008  
Wed Sep 10 22:58:26 2008  Msieve v. 1.32
Wed Sep 10 22:58:26 2008  random seeds: 3e19a540 473eeb8a
Wed Sep 10 22:58:26 2008  factoring 520900543633675770740076921288124839804013151855325091973855979598655668095461137038511238639282952079 (102 digits)
Wed Sep 10 22:58:27 2008  no P-1/P+1/ECM available, skipping
Wed Sep 10 22:58:27 2008  commencing quadratic sieve (102-digit input)
Wed Sep 10 22:58:27 2008  using multiplier of 7
Wed Sep 10 22:58:27 2008  using VC8 32kb sieve core
Wed Sep 10 22:58:27 2008  sieve interval: 36 blocks of size 32768
Wed Sep 10 22:58:27 2008  processing polynomials in batches of 6
Wed Sep 10 22:58:27 2008  using a sieve bound of 3198409 (114644 primes)
Wed Sep 10 22:58:27 2008  using large prime bound of 479761350 (28 bits)
Wed Sep 10 22:58:27 2008  using double large prime bound of 4225182407156700 (44-52 bits)
Wed Sep 10 22:58:27 2008  using trial factoring cutoff of 52 bits
Wed Sep 10 22:58:27 2008  polynomial 'A' values have 13 factors
Thu Sep 11 15:38:50 2008  114820 relations (26751 full + 88069 combined from 1732378 partial), need 114740
Thu Sep 11 15:39:08 2008  begin with 1759129 relations
Thu Sep 11 15:39:09 2008  reduce to 306160 relations in 10 passes
Thu Sep 11 15:39:09 2008  attempting to read 306160 relations
Thu Sep 11 15:39:14 2008  recovered 306160 relations
Thu Sep 11 15:39:14 2008  recovered 298979 polynomials
Thu Sep 11 15:39:14 2008  attempting to build 114820 cycles
Thu Sep 11 15:39:14 2008  found 114820 cycles in 7 passes
Thu Sep 11 15:39:14 2008  distribution of cycle lengths:
Thu Sep 11 15:39:14 2008     length 1 : 26751
Thu Sep 11 15:39:14 2008     length 2 : 19192
Thu Sep 11 15:39:14 2008     length 3 : 19098
Thu Sep 11 15:39:14 2008     length 4 : 15690
Thu Sep 11 15:39:14 2008     length 5 : 12104
Thu Sep 11 15:39:14 2008     length 6 : 8269
Thu Sep 11 15:39:14 2008     length 7 : 5581
Thu Sep 11 15:39:14 2008     length 9+: 8135
Thu Sep 11 15:39:14 2008  largest cycle: 25 relations
Thu Sep 11 15:39:15 2008  matrix is 114644 x 114820 with weight 8535738 (avg 74.34/col)
Thu Sep 11 15:39:15 2008  filtering completed in 3 passes
Thu Sep 11 15:39:15 2008  matrix is 110340 x 110404 with weight 8259057 (avg 74.81/col)
Thu Sep 11 15:39:16 2008  saving the first 48 matrix rows for later
Thu Sep 11 15:39:16 2008  matrix is 110292 x 110404 with weight 7008939 (avg 63.48/col)
Thu Sep 11 15:39:16 2008  matrix includes 64 packed rows
Thu Sep 11 15:39:16 2008  using block size 44161 for processor cache size 4096 kB
Thu Sep 11 15:39:17 2008  commencing Lanczos iteration
Thu Sep 11 15:40:34 2008  lanczos halted after 1746 iterations (dim = 110292)
Thu Sep 11 15:40:34 2008  recovered 18 nontrivial dependencies
Thu Sep 11 15:40:36 2008  prp41 factor: 80602305649128280728158724072025600598519
Thu Sep 11 15:40:36 2008  prp61 factor: 6462601031553857846813389871404198724474243802915238445011241
Thu Sep 11 15:40:36 2008  elapsed time 16:42:10

Msieve v1.32 for x86_64

Core 2 Quad Q6600,Windows Vista(tm) Ultimate K x86_64

7340591359371259322317452454739825557158137341194863711518429966348763662537396580615616937133548691336611536475717044912666013375757960575238411<145>

34510830591104725201050200123389<32>
212703989838578957956596911663076383197629838071552664368933220525486296004406576502241258446128246382524518156199<114>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=4161596758
Step 1 took 6051ms
Step 2 took 5277ms
********** Factor found in step 2: 34510830591104725201050200123389
Found probable prime factor of 32 digits: 34510830591104725201050200123389
Probable prime cofactor 212703989838578957956596911663076383197629838071552664368933220525486296004406576502241258446128246382524518156199 has 114 digits

GMP-ECM 6.2.1

2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<157>

372185119464374581000505742262872837559<39>
27261215972898031404791163916223415134863840191709<50>
273774673963716145379187767741510557645709906000665535557462756307383<69>

Number: 27773_156
N=2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 157 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=372185119464374581000505742262872837559 (pp39)
 r2=27261215972898031404791163916223415134863840191709 (pp50)
 r3=273774673963716145379187767741510557645709906000665535557462756307383 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.15 hours.
Scaled time: 57.46 units (timescale=2.379).
Factorization parameters were as follows:
n: 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
m: 50000000000000000000000000000000
c5: 2
c0: -1075
skew: 3.52
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3600001)
Primes: RFBsize:283146, AFBsize:283717, largePrimes:5772871 encountered
Relations: rels:5900578, finalFF:739057
Max relations in full relation-set: 28
Initial matrix: 566928 x 739057 with sparse part having weight 46097498.
Pruned matrix : 429064 x 431962 with weight 29205104.
Total sieving time: 23.11 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.93 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 24.15 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.05 BogoMIPS (lpj=2672026)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

7226378464947282981654061338531266785619495339921092659976461093024228582184017894788462297005065080939926097<109>

1060954734369655295158543412841251294725874914494979<52>
6811203372630868140845047043796262908156716759170685398043<58>

Number: 27773_158
N=7226378464947282981654061338531266785619495339921092659976461093024228582184017894788462297005065080939926097
  ( 109 digits)
Divisors found:
 r1=1060954734369655295158543412841251294725874914494979 (pp52)
 r2=6811203372630868140845047043796262908156716759170685398043 (pp58)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 21.60 hours.
Scaled time: 21.65 units (timescale=1.002).
Factorization parameters were as follows:
name: 27773_158
n: 7226378464947282981654061338531266785619495339921092659976461093024228582184017894788462297005065080939926097
skew: 13387.42
# norm 4.83e+14
c5: 114000
c4: 25870285
c3: -58382673621146
c2: 61359297300806952
c1: 4190972551164436333248
c0: -10579597973151794333285760
# alpha -5.46
Y1: 423910963663
Y0: -575974366622446883713
# Murphy_E 1.16e-09
# M 4576898731503046020234271183227462729024026786633249131730637009994011599613654968105344173860276081349930103
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2900001)
Primes: RFBsize:230209, AFBsize:230748, largePrimes:8157077 encountered
Relations: rels:8862586, finalFF:1267055
Max relations in full relation-set: 28
Initial matrix: 461037 x 1267055 with sparse part having weight 112957061.
Pruned matrix : 231027 x 233396 with weight 44419779.
Total sieving time: 20.70 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 21.60 hours.
 --------- CPU info (if available) ----------

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

187626290787263179878218078893357921983892553117772189666434002561038828833090481120115747109089760545098504440592701846130876077360481146458478335621511<153>

7089429201080214479664670394561412242126294491529591<52>
26465641374720917002970020698949335866709819281304228891957159307035545316434566546736730357665451121<101>

Number: 27773_159
N=187626290787263179878218078893357921983892553117772189666434002561038828833090481120115747109089760545098504440592701846130876077360481146458478335621511
  ( 153 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=7089429201080214479664670394561412242126294491529591
 r2=26465641374720917002970020698949335866709819281304228891957159307035545316434566546736730357665451121
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.726).
Factorization parameters were as follows:
n: 187626290787263179878218078893357921983892553117772189666434002561038828833090481120115747109089760545098504440592701846130876077360481146458478335621511
Y1: 1
Y0: -100000000000000000000000000000000
c5: 5
c0: -86
skew: 1.77
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2000000, 3200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 653896 x 654144
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,52,52,2.5,2.5,100000
total time: 18.00 hours.

Msieve 1.37

Opteron-2.6GHz; Linux x86_64

39246770828492989300641365578117330191399768184384518391638193760287075373658203836477407008176435498043579004498132593030362830652982500898581427036501<152>

25131004094841299841358281520343734889<38>
1561687335706147372245163522601054060771060260107529473974744099616485815066706249125187406434716123100749765802509<115>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=4270192938
Step 1 took 20946ms
********** Factor found in step 1: 25131004094841299841358281520343734889
Found probable prime factor of 38 digits: 25131004094841299841358281520343734889
Probable prime cofactor 1561687335706147372245163522601054060771060260107529473974744099616485815066706249125187406434716123100749765802509 has 115 digits

GMP-ECM 6.2.1

11530825324724092380753939585475456118157613190482884095671427620741334156187743828513545625362299892188371422291850861036994978256673215499<140>

64438863979153398772474615309331228867392153447<47>
178942095075642967256744351697024985709989506953109244293032020741491038953890828802470902717<93>

Number: 27773_166
N=11530825324724092380753939585475456118157613190482884095671427620741334156187743828513545625362299892188371422291850861036994978256673215499
  ( 140 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=64438863979153398772474615309331228867392153447 (pp47)
 r2=178942095075642967256744351697024985709989506953109244293032020741491038953890828802470902717 (pp93)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 106.94 hours.
Scaled time: 107.80 units (timescale=1.008).
Factorization parameters were as follows:
name: 27773_166
n: 11530825324724092380753939585475456118157613190482884095671427620741334156187743828513545625362299892188371422291850861036994978256673215499
m: 1000000000000000000000000000000000
c5: 250
c0: -43
skew: 0.7
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2750000, 6450001)
Primes: RFBsize:380800, AFBsize:381622, largePrimes:6131252 encountered
Relations: rels:6442154, finalFF:949844
Max relations in full relation-set: 28
Initial matrix: 762488 x 949844 with sparse part having weight 61604041.
Pruned matrix : 608545 x 612421 with weight 43738158.
Total sieving time: 103.72 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.01 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000
total time: 106.94 hours.
 --------- CPU info (if available) ----------

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

204513993315809305228716749061373306143831113687280897005385595482580547491319916444125287840919440008825849540473546379899733573903628096216302781<147>

1985140693063465171692545141141610284639<40>
103022417519537981589629426097797637160177611134278915004628187551244055578499294100173927259247731956871779<108>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 204513993315809305228716749061373306143831113687280897005385595482580547491319916444125287840919440008825849540473546379899733573903628096216302781

Run 377 out of 2350:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3964083566
Step 1 took 54756ms
Step 2 took 18455ms
********** Factor found in step 2: 1985140693063465171692545141141610284639
Found probable prime factor of 40 digits: 1985140693063465171692545141141610284639
Probable prime cofactor 103022417519537981589629426097797637160177611134278915004628187551244055578499294100173927259247731956871779 has 108 digits

4108530953672204966392216798961363374911666584496047593222567338822330687439399168433334976745714802215319890220052917878683297999967131752370622360268862265608309093<166>

3080145577490737926404037860940972976068672736877912330103917098426035030034777<79>
1333875575134097511706641124139988902844113672229182918543377260872116052419579028419309<88>

Number: 27773_169
N=4108530953672204966392216798961363374911666584496047593222567338822330687439399168433334976745714802215319890220052917878683297999967131752370622360268862265608309093
  ( 166 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=3080145577490737926404037860940972976068672736877912330103917098426035030034777
 r2=1333875575134097511706641124139988902844113672229182918543377260872116052419579028419309
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.727).
Factorization parameters were as follows:
n: 4108530953672204966392216798961363374911666584496047593222567338822330687439399168433334976745714802215319890220052917878683297999967131752370622360268862265608309093
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 5
c0: -86
skew: 1.77
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 5500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 996680 x 996928
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 42.50 hours.

Msieve-1.37

Opteron-2.6GHz; Linux x86_64

13007005348899804709094980881302261626646867240510572909883953359395253502607313995996074802578303581068987576332763598695119953893377355680333707227<149>

17619764491236916651312474862954886430331357<44>
738205403106764575938062723471690111389545121101186209390350592296561164036335958186089930067485740613911<105>

Number: 27773_170
N=13007005348899804709094980881302261626646867240510572909883953359395253502607313995996074802578303581068987576332763598695119953893377355680333707227
  ( 149 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=17619764491236916651312474862954886430331357 (pp44)
 r2=738205403106764575938062723471690111389545121101186209390350592296561164036335958186089930067485740613911 (pp105)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 183.30 hours.
Scaled time: 184.95 units (timescale=1.009).
Factorization parameters were as follows:
name: 27773_170
n: 13007005348899804709094980881302261626646867240510572909883953359395253502607313995996074802578303581068987576332763598695119953893377355680333707227
m: 10000000000000000000000000000000000
c5: 25
c0: -43
skew: 1.11
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 8700001)
Primes: RFBsize:412849, AFBsize:411971, largePrimes:6323654 encountered
Relations: rels:6647667, finalFF:972289
Max relations in full relation-set: 28
Initial matrix: 824884 x 972289 with sparse part having weight 73248063.
Pruned matrix : 707814 x 712002 with weight 55447414.
Total sieving time: 178.63 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.40 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 183.30 hours.
 --------- CPU info (if available) ----------

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

11921793037672865999046256556986170720076299475441106342393896041964711492608488316642823080591320934668574153552694325226514067715784453981878874582737243681449690033381<170>

308225110411339886828989718831887891927<39>
38678850732708674890175184503305789832974358219544817519426484893378186338847858514538120983978402786856331024910705786603696208803<131>

Run 731 out of 940:
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1398058429
Step 1 took 9015ms
Step 2 took 5397ms
********** Factor found in step 2: 308225110411339886828989718831887891927
Found probable prime factor of 39 digits: 308225110411339886828989718831887891927
Probable prime cofactor 38678850732708674890175184503305789832974358219544817519426484893378186338847858514538120983978402786856331024910705786603696208803 has 131 digits

GMP-ECM 6.2.1

2802693724992965238750267657250736828180300650561267445367091218712128601041032557211387008281399418609213687459290873644477179907152362278433047570681133050597590356043<169>

46558850779493096424492483442855753081279943870049563681536791783611326923121<77>
60196797774643852813248874227286977777238841940686534272161886935039204136300928460553097083<92>

Number: 27773_173
N=2802693724992965238750267657250736828180300650561267445367091218712128601041032557211387008281399418609213687459290873644477179907152362278433047570681133050597590356043
  ( 169 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=46558850779493096424492483442855753081279943870049563681536791783611326923121 (pp77)
 r2=60196797774643852813248874227286977777238841940686534272161886935039204136300928460553097083 (pp92)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 262.57 hours.
Scaled time: 265.45 units (timescale=1.011).
Factorization parameters were as follows:
name: 27773_173
n: 2802693724992965238750267657250736828180300650561267445367091218712128601041032557211387008281399418609213687459290873644477179907152362278433047570681133050597590356043
m: 50000000000000000000000000000000000
c5: 8
c0: -43
skew: 1.4
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 11000001)
Primes: RFBsize:501962, AFBsize:502386, largePrimes:6593939 encountered
Relations: rels:7149050, finalFF:1223519
Max relations in full relation-set: 28
Initial matrix: 1004413 x 1223519 with sparse part having weight 75368111.
Pruned matrix : 812967 x 818053 with weight 54796900.
Total sieving time: 255.78 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 6.48 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 262.57 hours.
 --------- CPU info (if available) ----------

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

76614280795463062331808963463019784592091887829641915178121412185441647815130670492610853813938056181492203718772992306084277878244956376725127813269<149>

274571119418147050725302504598667947378052247<45>
279032554326248794884870181114948576651943779743235747088444336719458844577534301605880799507799126715827<105>

N = 76614280795463062331808963463019784592091887829641915178121412185441647815130670492610853813938056181492203718772992306084277878244956376725127813269 (149 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=274571119418147050725302504598667947378052247 (pp45)
r2=279032554326248794884870181114948576651943779743235747088444336719458844577534301605880799507799126715827 (pp105)
Version: Msieve v. 1.48
Total time: 30.23 hours.
Factorization parameters were as follows:
name: 25*10^174-43
n: 76614280795463062331808963463019784592091887829641915178121412185441647815130670492610853813938056181492203718772992306084277878244956376725127813269
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -86
c1: 0
c2: 0
c3: 0
c4: 0
c5: 5
skew: 1.77
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19893166
Relations: 2512818 relations
Pruned matrix : 1394643 x 1394872
Polynomial selection time: 0.00 hours.
Total sieving time: 27.66 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.42 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 30.23 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

46206682939303052418083987384812908775557221613049876606849646613840434340090193943542158640669795700231077934651490054307387898501<131>

1801345764791714147488035981338835937186655332621273<52>
25651201364245489406189551630507721217648909077853128952177199623905514342941837<80>

N = 46206682939303052418083987384812908775557221613049876606849646613840434340090193943542158640669795700231077934651490054307387898501 (131 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=1801345764791714147488035981338835937186655332621273 (pp52)
r2=25651201364245489406189551630507721217648909077853128952177199623905514342941837 (pp80)
Version: Msieve v. 1.48
Total time: 36.41 hours.
Factorization parameters were as follows:
name: (25*10^175-43)/9
n: 46206682939303052418083987384812908775557221613049876606849646613840434340090193943542158640669795700231077934651490054307387898501
Y0: 100000000000000000000000000000000000
Y1: -1
c0: -43
c1: 0
c2: 0
c3: 0
c4: 0
c5: 25
skew: 1.11
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20691074
Relations: 2573252 relations
Pruned matrix : 1454782 x 1455007
Polynomial selection time: 0.00 hours.
Total sieving time: 33.41 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.81 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 36.41 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

3621000062281201071236658425270524914653028532032090750951960916373727761628117500003621000062281201071236658425270524914653028532032090750951960916373727761628117500003621<172>

17117031548021844777195855517637263<35>
211543692732147083754486058627421714563422861284785083503461250666691057398802310212309971774486900777685438889359113718536082788821389067<138>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=387572664
Step 1 took 24831ms
Step 2 took 16880ms
********** Factor found in step 2: 17117031548021844777195855517637263
Found probable prime factor of 35 digits: 17117031548021844777195855517637263
Probable prime cofactor 211543692732147083754486058627421714563422861284785083503461250666691057398802310212309971774486900777685438889359113718536082788821389067 has 138 digits

GMP-ECM 6.2.1

1685245620220666958436182284287607017113962668276466057711895774246552537285760659174132550308844161945225757743269278623582912062642978983063411358579<151>

100785735322313882598157012411805717019839635421<48>
16721072826737167263244005152383764814925866284753894259252200698565850190633620989284436621437553113999<104>

N=1685245620220666958436182284287607017113962668276466057711895774246552537285760659174132550308844161945225757743269278623582912062642978983063411358579
  ( 151 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=100785735322313882598157012411805717019839635421 (pp48)
 r2=16721072826737167263244005152383764814925866284753894259252200698565850190633620989284436621437553113999 (pp104)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 83.76 hours.
Scaled time: 157.63 units (timescale=1.882).
Factorization parameters were as follows:
n: 1685245620220666958436182284287607017113962668276466057711895774246552537285760659174132550308844161945225757743269278623582912062642978983063411358579
m: 500000000000000000000000000000000000
deg: 5
c5: 8
c0: -43
skew: 1.40
# Murphy_E = 1.28e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 7800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1282085 x 1282318
Total sieving time: 81.68 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.60 hours.
Time per square root: 0.28 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 83.76 hours.
 --------- CPU info (if available) ----------

2539273716935864816583032681691226241502796040957706211944392654484108291727098705501512926109160342705051602757971687853761568503768971053057253717952697857479<160>

129908366675717436134275154951566843<36>
19546652628421566148393564324629980588172892836991090912732311730703259332008780061652120853995535520635416749547652215263653<125>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2302857862
Step 1 took 24350ms
Step 2 took 19295ms
********** Factor found in step 2: 129908366675717436134275154951566843
Found probable prime factor of 36 digits: 129908366675717436134275154951566843
Probable prime cofactor 19546652628421566148393564324629980588172892836991090912732311730703259332008780061652120853995535520635416749547652215263653 has 125 digits

GMP-ECM 6.2.1

139586823003908431044109436069235064209938581797878280290340591848129536571747627024008933556672250139586823003908431044109436069235064209938581797878280290340591848129536571747627<180>

737914540865569522516610635268562488832829093976632609420812249119634895894823895649<84>
189163941450691415519843770805049671097893785124964204776656846922107400108917180888501599597323<96>

Number: n
N=139586823003908431044109436069235064209938581797878280290340591848129536571747627024008933556672250139586823003908431044109436069235064209938581797878280290340591848129536571747627
  ( 180 digits)
SNFS difficulty: 182 digits.
Divisors found:

Tue Sep 30 07:28:26 2008  prp84 factor: 737914540865569522516610635268562488832829093976632609420812249119634895894823895649
Tue Sep 30 07:28:27 2008  prp96 factor: 189163941450691415519843770805049671097893785124964204776656846922107400108917180888501599597323
Tue Sep 30 07:28:27 2008  elapsed time 04:32:32 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 43.65 hours.
Scaled time: 89.27 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_2_7_180_3
n: 139586823003908431044109436069235064209938581797878280290340591848129536571747627024008933556672250139586823003908431044109436069235064209938581797878280290340591848129536571747627
type: snfs
skew: 0.70
deg: 5
c5: 250
c0: -43
m: 1000000000000000000000000000000000000
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 3700001)
Primes: RFBsize:539777, AFBsize:540260, largePrimes:13819945 encountered
Relations: rels:13443130, finalFF:1142439
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 43.32 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,52,52,2.5,2.5,100000
total time: 43.65 hours.
 --------- CPU info (if available) ----------

6994301371581692181777843367355613443324859575717902716265870548989008052704863600572322946143570728769849541<109>

207427746518315298219866961491334487<36>
33719217843231569076697258173474898117809420616890018677139524636324971843<74>

Number: 27773_185
N=6994301371581692181777843367355613443324859575717902716265870548989008052704863600572322946143570728769849541
  ( 109 digits)
Divisors found:
 r1=207427746518315298219866961491334487 (pp36)
 r2=33719217843231569076697258173474898117809420616890018677139524636324971843 (pp74)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.43 hours.
Scaled time: 27.16 units (timescale=2.377).
Factorization parameters were as follows:
name: 27773_185
n: 6994301371581692181777843367355613443324859575717902716265870548989008052704863600572322946143570728769849541
skew: 21151.42
# norm 1.25e+15
c5: 16560
c4: -2088178530
c3: -65952207601223
c2: 745789390304980316
c1: 6183343412064671125560
c0: -39578050847778957024291000
# alpha -6.06
Y1: 210305389327
Y0: -841665524867103496247
# Murphy_E 1.19e-09
# M 3656899472026595564392796563244510379395325061944130045086403262223357093135654178911921285543656665588495754
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [1000000, 1650001)
Primes: RFBsize:148933, AFBsize:148957, largePrimes:4996228 encountered
Relations: rels:5005800, finalFF:346194
Max relations in full relation-set: 28
Initial matrix: 297968 x 346194 with sparse part having weight 32876209.
Pruned matrix : 268177 x 269730 with weight 22653877.
Polynomial selection time: 0.68 hours.
Total sieving time: 10.27 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,26,26,50,50,2.6,2.6,50000
total time: 11.43 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: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)
Calibrating delay using timer specific routine.. 5344.05 BogoMIPS (lpj=2672026)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

21204410517387616624257845631891433418150975402883799830364715860899067005937234944868532654792196776929601357082273112807463952502120441051738761662425784563189143341815097540288379983<185>

31424022345942293721314643526777454557385387249420546118526109881135411541015663<80>
674783459735086705269541484554441010464640876312706928931469006792480841626496533516974299488863906180641<105>

Number: n
N=21204410517387616624257845631891433418150975402883799830364715860899067005937234944868532654792196776929601357082273112807463952502120441051738761662425784563189143341815097540288379983
  ( 185 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Oct 14 05:57:25 2008  prp80 factor: 31424022345942293721314643526777454557385387249420546118526109881135411541015663
Tue Oct 14 05:57:25 2008  prp105 factor: 674783459735086705269541484554441010464640876312706928931469006792480841626496533516974299488863906180641
Tue Oct 14 05:57:26 2008  elapsed time 06:56:43 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 73.50 hours.
Scaled time: 150.32 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_2_7_185_3
n: 21204410517387616624257845631891433418150975402883799830364715860899067005937234944868532654792196776929601357082273112807463952502120441051738761662425784563189143341815097540288379983
type: snfs
skew: 0.70
deg: 5
c5: 250
c0: -43
m: 10000000000000000000000000000000000000
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 6500001)
Primes: RFBsize:602489, AFBsize:602475, largePrimes:14280891 encountered
Relations: rels:14024050, finalFF:1214304
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 73.14 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,52,52,2.5,2.5,100000
total time: 73.50 hours.
 --------- CPU info (if available) ----------

79894598802460320724197405137468419731635095869836011569730610408667609162116298329424285350621962933133293873196233724140050374437632342917734858821649511634906781582477156469<176>

408695703662735190084599512114819513<36>

195486759675827484517045324269925956580801061150249953622950500225372551296385452583893098093930134597595406548846078045518688710538357715613<141>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=634280738
Step 1 took 9559ms
Step 2 took 7056ms
********** Factor found in step 2: 408695703662735190084599512114819513
Found probable prime factor of 36 digits: 408695703662735190084599512114819513
Composite cofactor 195486759675827484517045324269925956580801061150249953622950500225372551296385452583893098093930134597595406548846078045518688710538357715613 has 141 digits

GMP-ECM 6.2.1

195486759675827484517045324269925956580801061150249953622950500225372551296385452583893098093930134597595406548846078045518688710538357715613<141>

244312865768440732110755001486664019706892523286524383234204393451<66>
800149263776838761489247522212955435652412134022431092534539972555606138263<75>

Thu Feb  2 03:48:42 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Feb  2 03:48:42 2017  random seeds: 64d52bbd 63696666
Thu Feb  2 03:48:42 2017  factoring 195486759675827484517045324269925956580801061150249953622950500225372551296385452583893098093930134597595406548846078045518688710538357715613 (141 digits)
Thu Feb  2 03:48:43 2017  no P-1/P+1/ECM available, skipping
Thu Feb  2 03:48:43 2017  commencing number field sieve (141-digit input)
Thu Feb  2 03:48:43 2017  R0: -50000000000000000000000000000000000000
Thu Feb  2 03:48:43 2017  R1: 1
Thu Feb  2 03:48:43 2017  A0: -215
Thu Feb  2 03:48:43 2017  A1: 0
Thu Feb  2 03:48:43 2017  A2: 0
Thu Feb  2 03:48:43 2017  A3: 0
Thu Feb  2 03:48:43 2017  A4: 0
Thu Feb  2 03:48:43 2017  A5: 4
Thu Feb  2 03:48:43 2017  skew 2.22, size 3.302e-13, alpha 0.799, combined = 4.183e-11 rroots = 1
Thu Feb  2 03:48:43 2017  
Thu Feb  2 03:48:43 2017  commencing relation filtering
Thu Feb  2 03:48:43 2017  estimated available RAM is 15929.4 MB
Thu Feb  2 03:48:43 2017  commencing duplicate removal, pass 1
Thu Feb  2 03:51:18 2017  found 2975403 hash collisions in 21696585 relations
Thu Feb  2 03:51:37 2017  added 422 free relations
Thu Feb  2 03:51:37 2017  commencing duplicate removal, pass 2
Thu Feb  2 03:51:42 2017  found 2612931 duplicates and 19084076 unique relations
Thu Feb  2 03:51:42 2017  memory use: 98.6 MB
Thu Feb  2 03:51:42 2017  reading ideals above 720000
Thu Feb  2 03:51:42 2017  commencing singleton removal, initial pass
Thu Feb  2 03:53:40 2017  memory use: 689.0 MB
Thu Feb  2 03:53:40 2017  reading all ideals from disk
Thu Feb  2 03:53:40 2017  memory use: 605.7 MB
Thu Feb  2 03:53:41 2017  keeping 21285510 ideals with weight <= 200, target excess is 116183
Thu Feb  2 03:53:41 2017  commencing in-memory singleton removal
Thu Feb  2 03:53:42 2017  begin with 19084076 relations and 21285510 unique ideals
Thu Feb  2 03:53:51 2017  reduce to 7582269 relations and 7389942 ideals in 22 passes
Thu Feb  2 03:53:51 2017  max relations containing the same ideal: 104
Thu Feb  2 03:53:53 2017  removing 412339 relations and 383562 ideals in 28777 cliques
Thu Feb  2 03:53:53 2017  commencing in-memory singleton removal
Thu Feb  2 03:53:53 2017  begin with 7169930 relations and 7389942 unique ideals
Thu Feb  2 03:53:56 2017  reduce to 7149045 relations and 6985363 ideals in 9 passes
Thu Feb  2 03:53:56 2017  max relations containing the same ideal: 100
Thu Feb  2 03:53:58 2017  removing 296560 relations and 267783 ideals in 28777 cliques
Thu Feb  2 03:53:58 2017  commencing in-memory singleton removal
Thu Feb  2 03:53:59 2017  begin with 6852485 relations and 6985363 unique ideals
Thu Feb  2 03:54:01 2017  reduce to 6841648 relations and 6706679 ideals in 9 passes
Thu Feb  2 03:54:01 2017  max relations containing the same ideal: 99
Thu Feb  2 03:54:04 2017  relations with 0 large ideals: 2908
Thu Feb  2 03:54:04 2017  relations with 1 large ideals: 977
Thu Feb  2 03:54:04 2017  relations with 2 large ideals: 17432
Thu Feb  2 03:54:04 2017  relations with 3 large ideals: 134990
Thu Feb  2 03:54:04 2017  relations with 4 large ideals: 560748
Thu Feb  2 03:54:04 2017  relations with 5 large ideals: 1352273
Thu Feb  2 03:54:04 2017  relations with 6 large ideals: 2022617
Thu Feb  2 03:54:04 2017  relations with 7+ large ideals: 2749703
Thu Feb  2 03:54:04 2017  commencing 2-way merge
Thu Feb  2 03:54:07 2017  reduce to 3968126 relation sets and 3833158 unique ideals
Thu Feb  2 03:54:07 2017  ignored 1 oversize relation sets
Thu Feb  2 03:54:07 2017  commencing full merge
Thu Feb  2 03:54:47 2017  memory use: 462.6 MB
Thu Feb  2 03:54:47 2017  found 2033191 cycles, need 2019358
Thu Feb  2 03:54:48 2017  weight of 2019358 cycles is about 141507071 (70.08/cycle)
Thu Feb  2 03:54:48 2017  distribution of cycle lengths:
Thu Feb  2 03:54:48 2017  1 relations: 307454
Thu Feb  2 03:54:48 2017  2 relations: 261824
Thu Feb  2 03:54:48 2017  3 relations: 243261
Thu Feb  2 03:54:48 2017  4 relations: 208336
Thu Feb  2 03:54:48 2017  5 relations: 178053
Thu Feb  2 03:54:48 2017  6 relations: 147764
Thu Feb  2 03:54:48 2017  7 relations: 124421
Thu Feb  2 03:54:48 2017  8 relations: 102457
Thu Feb  2 03:54:48 2017  9 relations: 83360
Thu Feb  2 03:54:48 2017  10+ relations: 362428
Thu Feb  2 03:54:48 2017  heaviest cycle: 27 relations
Thu Feb  2 03:54:48 2017  commencing cycle optimization
Thu Feb  2 03:54:50 2017  start with 11564767 relations
Thu Feb  2 03:55:00 2017  pruned 239201 relations
Thu Feb  2 03:55:00 2017  memory use: 391.8 MB
Thu Feb  2 03:55:00 2017  distribution of cycle lengths:
Thu Feb  2 03:55:00 2017  1 relations: 307454
Thu Feb  2 03:55:00 2017  2 relations: 267308
Thu Feb  2 03:55:00 2017  3 relations: 250717
Thu Feb  2 03:55:00 2017  4 relations: 211914
Thu Feb  2 03:55:00 2017  5 relations: 180876
Thu Feb  2 03:55:00 2017  6 relations: 148795
Thu Feb  2 03:55:00 2017  7 relations: 124137
Thu Feb  2 03:55:00 2017  8 relations: 101199
Thu Feb  2 03:55:00 2017  9 relations: 82048
Thu Feb  2 03:55:00 2017  10+ relations: 344910
Thu Feb  2 03:55:00 2017  heaviest cycle: 26 relations
Thu Feb  2 03:55:02 2017  RelProcTime: 379
Thu Feb  2 03:55:02 2017  elapsed time 00:06:20
Thu Feb 02 03:55:02 2017 LatSieveTime: 1172.08
Thu Feb 02 03:55:02 2017 -> Running matrix solving step ...
Thu Feb 02 03:55:02 2017 -> ./msieve -s 27773_187/27773_187.dat -l 27773_187/27773_187.log -i 27773_187/27773_187.ini -nf 27773_187/27773_187.fb -t 6 -nc2
Thu Feb  2 03:55:02 2017  
Thu Feb  2 03:55:02 2017  
Thu Feb  2 03:55:02 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Feb  2 03:55:02 2017  random seeds: c1986d19 705067f1
Thu Feb  2 03:55:02 2017  factoring 195486759675827484517045324269925956580801061150249953622950500225372551296385452583893098093930134597595406548846078045518688710538357715613 (141 digits)
Thu Feb  2 03:55:03 2017  no P-1/P+1/ECM available, skipping
Thu Feb  2 03:55:03 2017  commencing number field sieve (141-digit input)
Thu Feb  2 03:55:03 2017  R0: -50000000000000000000000000000000000000
Thu Feb  2 03:55:03 2017  R1: 1
Thu Feb  2 03:55:03 2017  A0: -215
Thu Feb  2 03:55:03 2017  A1: 0
Thu Feb  2 03:55:03 2017  A2: 0
Thu Feb  2 03:55:03 2017  A3: 0
Thu Feb  2 03:55:03 2017  A4: 0
Thu Feb  2 03:55:03 2017  A5: 4
Thu Feb  2 03:55:03 2017  skew 2.22, size 3.302e-13, alpha 0.799, combined = 4.183e-11 rroots = 1
Thu Feb  2 03:55:03 2017  
Thu Feb  2 03:55:03 2017  commencing linear algebra
Thu Feb  2 03:55:03 2017  read 2019358 cycles
Thu Feb  2 03:55:05 2017  cycles contain 6674407 unique relations
Thu Feb  2 03:55:38 2017  read 6674407 relations
Thu Feb  2 03:55:42 2017  using 20 quadratic characters above 4294917295
Thu Feb  2 03:56:08 2017  building initial matrix
Thu Feb  2 03:56:45 2017  memory use: 815.7 MB
Thu Feb  2 03:56:46 2017  read 2019358 cycles
Thu Feb  2 03:56:46 2017  matrix is 2019180 x 2019358 (606.4 MB) with weight 177859658 (88.08/col)
Thu Feb  2 03:56:46 2017  sparse part has weight 136751069 (67.72/col)
Thu Feb  2 03:56:57 2017  filtering completed in 2 passes
Thu Feb  2 03:56:58 2017  matrix is 2016133 x 2016310 (606.1 MB) with weight 177755203 (88.16/col)
Thu Feb  2 03:56:58 2017  sparse part has weight 136713484 (67.80/col)
Thu Feb  2 03:57:02 2017  matrix starts at (0, 0)
Thu Feb  2 03:57:02 2017  matrix is 2016133 x 2016310 (606.1 MB) with weight 177755203 (88.16/col)
Thu Feb  2 03:57:02 2017  sparse part has weight 136713484 (67.80/col)
Thu Feb  2 03:57:02 2017  saving the first 48 matrix rows for later
Thu Feb  2 03:57:02 2017  matrix includes 64 packed rows
Thu Feb  2 03:57:02 2017  matrix is 2016085 x 2016310 (573.5 MB) with weight 141653354 (70.25/col)
Thu Feb  2 03:57:02 2017  sparse part has weight 130184558 (64.57/col)
Thu Feb  2 03:57:02 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Thu Feb  2 03:57:07 2017  commencing Lanczos iteration (6 threads)
Thu Feb  2 03:57:07 2017  memory use: 459.6 MB
Thu Feb  2 03:57:12 2017  linear algebra at 0.1%, ETA 1h50m
Thu Feb  2 03:57:13 2017  checkpointing every 1220000 dimensions
Thu Feb  2 05:39:13 2017  lanczos halted after 31883 iterations (dim = 2016081)
Thu Feb  2 05:39:15 2017  recovered 36 nontrivial dependencies
Thu Feb  2 05:39:15 2017  BLanczosTime: 6252
Thu Feb  2 05:39:15 2017  elapsed time 01:44:13
Thu Feb 02 05:39:15 2017 -> Running square root step ...
Thu Feb 02 05:39:15 2017 -> ./msieve -s 27773_187/27773_187.dat -l 27773_187/27773_187.log -i 27773_187/27773_187.ini -nf 27773_187/27773_187.fb -t 6 -nc3
Thu Feb  2 05:39:15 2017  
Thu Feb  2 05:39:15 2017  
Thu Feb  2 05:39:15 2017  Msieve v. 1.53 (SVN Unversioned directory)
Thu Feb  2 05:39:15 2017  random seeds: 6c6eb8da 401d6d43
Thu Feb  2 05:39:15 2017  factoring 195486759675827484517045324269925956580801061150249953622950500225372551296385452583893098093930134597595406548846078045518688710538357715613 (141 digits)
Thu Feb  2 05:39:15 2017  no P-1/P+1/ECM available, skipping
Thu Feb  2 05:39:15 2017  commencing number field sieve (141-digit input)
Thu Feb  2 05:39:15 2017  R0: -50000000000000000000000000000000000000
Thu Feb  2 05:39:15 2017  R1: 1
Thu Feb  2 05:39:15 2017  A0: -215
Thu Feb  2 05:39:15 2017  A1: 0
Thu Feb  2 05:39:15 2017  A2: 0
Thu Feb  2 05:39:15 2017  A3: 0
Thu Feb  2 05:39:15 2017  A4: 0
Thu Feb  2 05:39:15 2017  A5: 4
Thu Feb  2 05:39:15 2017  skew 2.22, size 3.302e-13, alpha 0.799, combined = 4.183e-11 rroots = 1
Thu Feb  2 05:39:15 2017  
Thu Feb  2 05:39:15 2017  commencing square root phase
Thu Feb  2 05:39:15 2017  reading relations for dependency 1
Thu Feb  2 05:39:15 2017  read 1007925 cycles
Thu Feb  2 05:39:16 2017  cycles contain 3335720 unique relations
Thu Feb  2 05:39:33 2017  read 3335720 relations
Thu Feb  2 05:39:42 2017  multiplying 3335720 relations
Thu Feb  2 05:40:59 2017  multiply complete, coefficients have about 83.73 million bits
Thu Feb  2 05:40:59 2017  initial square root is modulo 1022881
Thu Feb  2 05:42:27 2017  sqrtTime: 192
Thu Feb  2 05:42:27 2017  p66 factor: 244312865768440732110755001486664019706892523286524383234204393451
Thu Feb  2 05:42:27 2017  p75 factor: 800149263776838761489247522212955435652412134022431092534539972555606138263
Thu Feb  2 05:42:27 2017  elapsed time 00:03:12

Msieve 1.53 snfs

64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

135570319105612646571694009244275600160646077151581800663262751293061826417758395385057775854147428805370561149203429706185298686926260521101424373235723777978417279691651<171>

75595202411944051335860944001329<32>

1793371996900593249505181161038180873846675034251124827702447409512594054767965061858759389454185358822624969674213962033030690382324261619<139>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1655319311
Step 1 took 24426ms
Step 2 took 19927ms
********** Factor found in step 2: 75595202411944051335860944001329
Found probable prime factor of 32 digits: 75595202411944051335860944001329
Composite cofactor 1793371996900593249505181161038180873846675034251124827702447409512594054767965061858759389454185358822624969674213962033030690382324261619 has 139 digits

GMP-ECM 6.2.1

1793371996900593249505181161038180873846675034251124827702447409512594054767965061858759389454185358822624969674213962033030690382324261619<139>

30463201315188150549053717296184884277303<41>
58870109491954975976280363497868510204711956624355986555628733349092754322140446463565290337889573<98>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2639466262
Step 1 took 164982ms
Step 2 took 50598ms
********** Factor found in step 2: 30463201315188150549053717296184884277303
Found probable prime factor of 41 digits: 30463201315188150549053717296184884277303

172880054305967804468653294852252483859193762567303769705804735288277168998300304851363057471002591645585620980580660799417743296394543109131421501080874797609925504193562195863228003<183>

117491007036631270030225720922571631<36>
1471432228443385230133969920606736027093770769242075914045445725073458320570189373462599526858599922521215358818976301892264442553839880928401332813<148>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1909774117
Step 1 took 18279ms
********** Factor found in step 1: 117491007036631270030225720922571631
Found probable prime factor of 36 digits: 117491007036631270030225720922571631
Probable prime cofactor 1471432228443385230133969920606736027093770769242075914045445725073458320570189373462599526858599922521215358818976301892264442553839880928401332813 has 148 digits

GMP-ECM 6.2.3

99088260932783932069104177593678820257994198263304693063768272639227660547816936909857466916659193196384144178936973676928284925709341382156113619129552141676172552693<167>

1624692044657944103122651779498122335381230163<46>

60988949418808511407564593854148046925896832579970788219674081701214813481204412088195255953879453614171082661742395644311<122>

Sun 2020/04/19 21:27:50 UTC GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Sun 2020/04/19 21:27:50 UTC Input number is 99088260932783932069104177593678820257994198263304693063768272639227660547816936909857466916659193196384144178936973676928284925709341382156113619129552141676172552693 (167 digits)
Sun 2020/04/19 21:27:50 UTC Run 2250 out of 4000:
Sun 2020/04/19 21:27:50 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1565222466
Sun 2020/04/19 21:27:50 UTC Step 1 took 16567ms
Sun 2020/04/19 21:27:50 UTC Step 2 took 7251ms
Sun 2020/04/19 21:27:50 UTC ********** Factor found in step 2: 1624692044657944103122651779498122335381230163
Sun 2020/04/19 21:27:50 UTC Found prime factor of 46 digits: 1624692044657944103122651779498122335381230163
Sun 2020/04/19 21:27:50 UTC Composite cofactor 60988949418808511407564593854148046925896832579970788219674081701214813481204412088195255953879453614171082661742395644311 has 122 digits

60988949418808511407564593854148046925896832579970788219674081701214813481204412088195255953879453614171082661742395644311<122>

1111036146245879901115027837801909601897029486228021<52>
54893758069785822793143756418324239371287502986992591255473569962366491<71>

60988949418808511407564593854148046925896832579970788219674081701214813481204412088195255953879453614171082661742395644311=1111036146245879901115027837801909601897029486228021*54893758069785822793143756418324239371287502986992591255473569962366491

Info:Square Root: Factors: 54893758069785822793143756418324239371287502986992591255473569962366491 1111036146245879901115027837801909601897029486228021
Info:Square Root: Total cpu/real time for sqrt: 3001.49/680.527
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19989/35.730/43.633/48.200/1.073
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 19989/34.810/38.703/44.070/1.026
Info:Polynomial Selection (size optimized): Total time: 2149.81
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 873.39
Info:Polynomial Selection (root optimized): Rootsieve time: 871.86
Info:Generate Factor Base: Total cpu/real time for makefb: 12/3.84787
Info:Generate Free Relations: Total cpu/real time for freerel: 252.81/57.853
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13909733
Info:Lattice Sieving: Average J: 1942.63 for 308938 special-q, max bucket fill -bkmult 1.0,1s:1.457160
Info:Lattice Sieving: Total time: 18120.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.34/43.0001
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 42.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 293.06/108.831
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 90.69999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 173.25/79.6073
Info:Filtering - Merging: Total cpu/real time for merge: 228.7/192.401
Info:Filtering - Merging: Total cpu/real time for replay: 29.24/22.1597
Info:Linear Algebra: Total cpu/real time for bwc: 34550.4/8012.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 4845.77, iteration CPU time 0.15, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (50000 iterations)
Info:Linear Algebra: Lingen CPU time 696.71, WCT time 156.2
Info:Linear Algebra: Mksol: WCT time 2883.94, iteration CPU time 0.19, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (25000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 83.15/46.6109
Info:Square Root: Total cpu/real time for sqrt: 3001.49/680.527
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 151579/5017.33
54893758069785822793143756418324239371287502986992591255473569962366491 1111036146245879901115027837801909601897029486228021

cado-nfs-3.0.0

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

11753559093890213483362958829476309845767434388751282260473980208756147731603761325935404184062481125868389254033467620360991981190895519833721179994050675275445325910849599499647<179>

8110493632431508926231037047347479785699308135429725511<55>
255740441374695031495179160606521929733677820855552758327453<60>
5666601824879957190872662578374821906225690133108223333238390109<64>

found factor: 255740441374695031495179160606521929733677820855552758327453
p55 factor: 8110493632431508926231037047347479785699308135429725511
p60 factor: 255740441374695031495179160606521929733677820855552758327453
p64 factor: 5666601824879957190872662578374821906225690133108223333238390109


Msieve v. 1.54 (SVN 1032M)
random seeds: 220f886b 75f40e80
factoring 11753559093890213483362958829476309845767434388751282260473980208756147731603761325935404184062481125868389254033467620360991981190895519833721179994050675275445325910849599499647 (179 digits)
searching for 15-digit factors
commencing number field sieve (179-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -215
A1: 0
A2: 0
A3: 0
A4: 0
A5: 4
skew 1.00, size 1.533e-13, alpha 0.799, combined = 2.409e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2429677 hash collisions in 37809848 relations
added 726912 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38536760 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: 1258.6 MB
keeping 40549846 ideals with weight <= 200, target excess is 206250
commencing in-memory singleton removal
begin with 38536760 relations and 40549846 unique ideals
reduce to 15378241 relations and 13534709 ideals in 14 passes
max relations containing the same ideal: 112
removing 2057913 relations and 1657913 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13320328 relations and 13534709 unique ideals
reduce to 13092500 relations and 11641408 ideals in 9 passes
max relations containing the same ideal: 100
removing 1643154 relations and 1243154 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11449346 relations and 11641408 unique ideals
reduce to 11279899 relations and 10223499 ideals in 8 passes
max relations containing the same ideal: 90
removing 1539493 relations and 1139493 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9740406 relations and 10223499 unique ideals
reduce to 9562687 relations and 8900425 ideals in 7 passes
max relations containing the same ideal: 82
removing 1515935 relations and 1115935 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8046752 relations and 8900425 unique ideals
reduce to 7837552 relations and 7567229 ideals in 10 passes
max relations containing the same ideal: 70
removing 207149 relations and 176076 ideals in 31073 cliques
commencing in-memory singleton removal
begin with 7630403 relations and 7567229 unique ideals
reduce to 7626253 relations and 7386982 ideals in 6 passes
max relations containing the same ideal: 70
relations with 0 large ideals: 4380
relations with 1 large ideals: 12188
relations with 2 large ideals: 98715
relations with 3 large ideals: 438718
relations with 4 large ideals: 1165373
relations with 5 large ideals: 1930144
relations with 6 large ideals: 2074040
relations with 7+ large ideals: 1902695
commencing 2-way merge
reduce to 4717284 relation sets and 4478013 unique ideals
commencing full merge
memory use: 515.8 MB
found 2203922 cycles, need 2176213
weight of 2176213 cycles is about 196216555 (90.16/cycle)
distribution of cycle lengths:
1 relations: 179327
2 relations: 180435
3 relations: 190533
4 relations: 187693
5 relations: 184102
6 relations: 171309
7 relations: 162183
8 relations: 147334
9 relations: 131971
10+ relations: 641326
heaviest cycle: 25 relations
commencing cycle optimization
start with 15946649 relations
pruned 536629 relations
memory use: 474.2 MB
distribution of cycle lengths:
1 relations: 179327
2 relations: 184851
3 relations: 197885
4 relations: 193839
5 relations: 191113
6 relations: 177101
7 relations: 167244
8 relations: 151238
9 relations: 134720
10+ relations: 598895
heaviest cycle: 25 relations
RelProcTime: 699
elapsed time 00:11:40


Msieve v. 1.54 (SVN 1032M)
random seeds: c08d4ef7 3271bbd6
factoring 11753559093890213483362958829476309845767434388751282260473980208756147731603761325935404184062481125868389254033467620360991981190895519833721179994050675275445325910849599499647 (179 digits)
searching for 15-digit factors
commencing number field sieve (179-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -215
A1: 0
A2: 0
A3: 0
A4: 0
A5: 4
skew 1.00, size 1.533e-13, alpha 0.799, combined = 2.409e-11 rroots = 1

commencing linear algebra
read 2176213 cycles
cycles contain 7471606 unique relations
read 7471606 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 913.1 MB
read 2176213 cycles
matrix is 2176035 x 2176213 (800.1 MB) with weight 232483092 (106.83/col)
sparse part has weight 185792669 (85.37/col)
filtering completed in 2 passes
matrix is 2175360 x 2175538 (800.0 MB) with weight 232459503 (106.85/col)
sparse part has weight 185783715 (85.40/col)
matrix starts at (0, 0)
matrix is 2175360 x 2175538 (800.0 MB) with weight 232459503 (106.85/col)
sparse part has weight 185783715 (85.40/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2175312 x 2175538 (759.3 MB) with weight 191693204 (88.11/col)
sparse part has weight 177300913 (81.50/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 718.6 MB
linear algebra at 0.1%, ETA 1h35m
checkpointing every 1460000 dimensions
lanczos halted after 34402 iterations (dim = 2175311)
recovered 39 nontrivial dependencies
BLanczosTime: 4984
elapsed time 01:23:06


Msieve v. 1.54 (SVN 1032M)
random seeds: 1ab8f879 447d6edf
factoring 11753559093890213483362958829476309845767434388751282260473980208756147731603761325935404184062481125868389254033467620360991981190895519833721179994050675275445325910849599499647 (179 digits)
searching for 15-digit factors
commencing number field sieve (179-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: -215
A1: 0
A2: 0
A3: 0
A4: 0
A5: 4
skew 1.00, size 1.533e-13, alpha 0.799, combined = 2.409e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1088593 cycles
cycles contain 3738436 unique relations
read 3738436 relations
multiplying 3738436 relations
multiply complete, coefficients have about 92.49 million bits
initial square root is modulo 4353691
found factor: 255740441374695031495179160606521929733677820855552758327453
reading relations for dependency 2
read 1087026 cycles
cycles contain 3734886 unique relations
read 3734886 relations
multiplying 3734886 relations
multiply complete, coefficients have about 92.40 million bits
initial square root is modulo 4291621
sqrtTime: 485
p55 factor: 8110493632431508926231037047347479785699308135429725511
p60 factor: 255740441374695031495179160606521929733677820855552758327453
p64 factor: 5666601824879957190872662578374821906225690133108223333238390109
elapsed time 00:08:06

CADO-NFS/Msieve

488571757542554777743230168089674501055073126765567333180124884563099285173718896575744924955369058758065162664042212859244695660451108509044714895513406934301098980338621<171>

2822949320015758282288009612234292697801213752363591889457894371193271751120347878231<85>
173071388167828485830735296405269413215773258640832112040471390642003449394517195751691<87>

Number: n
N=488571757542554777743230168089674501055073126765567333180124884563099285173718896575744924955369058758065162664042212859244695660451108509044714895513406934301098980338621  ( 171 digits)
SNFS difficulty: 194 digits.
Divisors found:

Mon Mar  8 16:00:33 2021  p85 factor: 2822949320015758282288009612234292697801213752363591889457894371193271751120347878231
Mon Mar  8 16:00:33 2021  p87 factor: 173071388167828485830735296405269413215773258640832112040471390642003449394517195751691
Mon Mar  8 16:00:33 2021  elapsed time 01:01:58 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 25x10^193-43 = 27(192)3
#
n: 488571757542554777743230168089674501055073126765567333180124884563099285173718896575744924955369058758065162664042212859244695660451108509044714895513406934301098980338621
m: 500000000000000000000000000000000000000
deg: 5
c5: 8
c0: -43
skew: 1.40
# Murphy_E = 3.126e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3315999 hash collisions in 28332234 relations (26643674 unique)
Msieve: matrix is 1460399 x 1460624 (511.9 MB)

Sieving start time : 2021/03/08 11:10:00
Sieving end time  : 2021/03/08 14:58:02

Total sieving time: 3hrs 48min 2secs.

Total relation processing time: 0hrs 40min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 13sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

15634339809898358423847658640212042793999455690180479105666474490922148648398116417902251474977553594478637223584488908880052463957354196253836586225081176353688704372863679417047<179>

1699423964719612041415841627545002849237119589828340307<55>
9199787771898266796901217350373102429517115549313428030452300237634765007972129356279451555599266323405437546647854427075821<124>

15634339809898358423847658640212042793999455690180479105666474490922148648398116417902251474977553594478637223584488908880052463957354196253836586225081176353688704372863679417047=1699423964719612041415841627545002849237119589828340307*9199787771898266796901217350373102429517115549313428030452300237634765007972129356279451555599266323405437546647854427075821

cado polynomial
n: 15634339809898358423847658640212042793999455690180479105666474490922148648398116417902251474977553594478637223584488908880052463957354196253836586225081176353688704372863679417047
skew: 0.88
type: snfs
c0: -43
c5: 80
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 80*x^5-43
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12600000
tasks.lim1 = 12600000
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: 1699423964719612041415841627545002849237119589828340307 9199787771898266796901217350373102429517115549313428030452300237634765007972129356279451555599266323405437546647854427075821
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.48/2.22067
Info:Generate Free Relations: Total cpu/real time for freerel: 99.06/25.4403
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28644712
Info:Lattice Sieving: Average J: 1894.01 for 3047310 special-q, max bucket fill -bkmult 1.0,1s:1.163370
Info:Lattice Sieving: Total time: 759248s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 54.49/143.323
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 142.29999999999995s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 478.27/486.714
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 425.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 407.35/480.22
Info:Filtering - Merging: Merged matrix has 2463882 rows and total weight 423500994 (171.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 353.62/116.57
Info:Filtering - Merging: Total cpu/real time for replay: 95.26/84.2877
Info:Linear Algebra: Total cpu/real time for bwc: 106863/27326.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 17410.82, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (77312 iterations)
Info:Linear Algebra: Lingen CPU time 505.29, WCT time 146.21
Info:Linear Algebra: Mksol: WCT time 9518.9, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 85.85/37.054
Info:Square Root: Total cpu/real time for sqrt: 662.95/207.51
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.51479e+06/96686.7
Info:root: Cleaning up computation data in /tmp/cado.o_x1f9hq
1699423964719612041415841627545002849237119589828340307 9199787771898266796901217350373102429517115549313428030452300237634765007972129356279451555599266323405437546647854427075821

cado-nfs-3.0.0

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

13283195116374869406267213360471432283891846525113500917310888346615731458001220247436170661003137331288146347655327440589183026648267847447073507554657824096810476381602392207801454276081009<191>

700108180084384509977112925320127507124095919691380318617373<60>
18973060870069875432651609808880027662120541154851837964454654494716421261351200788887026811861466237056000544004658761544165464933<131>

Number: 27773_196
N=13283195116374869406267213360471432283891846525113500917310888346615731458001220247436170661003137331288146347655327440589183026648267847447073507554657824096810476381602392207801454276081009
  ( 191 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=700108180084384509977112925320127507124095919691380318617373
 r2=18973060870069875432651609808880027662120541154851837964454654494716421261351200788887026811861466237056000544004658761544165464933
Version: 
Total time: 693.79 hours.
Scaled time: 1394.51 units (timescale=2.010).
Factorization parameters were as follows:
n: 13283195116374869406267213360471432283891846525113500917310888346615731458001220247436170661003137331288146347655327440589183026648267847447073507554657824096810476381602392207801454276081009
m: 1000000000000000000000000000000000000000
deg: 5
c5: 250
c0: -43
skew: 0.70
type: snfs
lss: 1
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6800000, 14100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2276151 x 2276399
Total sieving time: 693.79 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13600000,13600000,28,28,55,55,2.5,2.5,100000
total time: 693.79 hours.
 --------- CPU info (if available) ----------

GMP-ECM 6.2.1

794907527372506852878335109902367730918963803004679664202440312564627675694958238702262392484602111411685682403103511593020283874162083499255051401049250413999729269<165>

295129451897746307965079731115042417503<39>

2693419861220489027602411855507083936235406613469644223236807794490616222429689028593525007468377268250369054863714727544458923<127>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3572283450
Step 1 took 24483ms
Step 2 took 20195ms
********** Factor found in step 2: 295129451897746307965079731115042417503
Found probable prime factor of 39 digits: 295129451897746307965079731115042417503
Composite cofactor 2693419861220489027602411855507083936235406613469644223236807794490616222429689028593525007468377268250369054863714727544458923 has 127 digits

GMP-ECM 6.2.1

2693419861220489027602411855507083936235406613469644223236807794490616222429689028593525007468377268250369054863714727544458923<127>

10098350951856973961514524512537529605446767<44>
266718781518006085466517991346999437292650105384546657225926327572273641244537096069<84>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=510398281
Step 1 took 36142ms
Step 2 took 18423ms
********** Factor found in step 2: 10098350951856973961514524512537529605446767
Found probable prime factor of 44 digits: 10098350951856973961514524512537529605446767
Probable prime cofactor 266718781518006085466517991346999437292650105384546657225926327572273641244537096069 has 84 digits

GMP-ECM 6.2.1

473296605516745233903182446375494594952764998769428825656462391851725639423714053122811003199485053293197781185513337498343461880691391681338861437685768917665322504306999110202381628518960262017<195>

1451404622524480716557996312602451817462320347463899152439<58>
326095561617768087884395065941298852407265226525174381101383715053134023745318575170785592323285897166994765718293103718772301298550007303<138>

Number: 27773_198
N=473296605516745233903182446375494594952764998769428825656462391851725639423714053122811003199485053293197781185513337498343461880691391681338861437685768917665322504306999110202381628518960262017
  ( 195 digits)
SNFS difficulty: 199 digits.
Divisors found:
 r1=1451404622524480716557996312602451817462320347463899152439
 r2=326095561617768087884395065941298852407265226525174381101383715053134023745318575170785592323285897166994765718293103718772301298550007303
Version: 
Total time: 721.86 hours.
Scaled time: 1454.54 units (timescale=2.015).
Factorization parameters were as follows:
n: 473296605516745233903182446375494594952764998769428825656462391851725639423714053122811003199485053293197781185513337498343461880691391681338861437685768917665322504306999110202381628518960262017
m: 5000000000000000000000000000000000000000
deg: 5
c5: 8
c0: -43
skew: 1.40
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7350000, 15150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2531515 x 2531763
Total sieving time: 721.86 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
total time: 721.86 hours.
 --------- CPU info (if available) ----------

663048901595604443100571435233898177317736295773532167770817732445751889323906184380266598717890709725496911563127528345951001136024616660731716249403491453969529010842123<171>

109262344044998137350683089433355895282039531968949830440930801529162189858949<78>
6068411833838538315643258050389237681667442805690203557621285878021972989343580591574079624527<94>

Number: n
N=663048901595604443100571435233898177317736295773532167770817732445751889323906184380266598717890709725496911563127528345951001136024616660731716249403491453969529010842123  ( 171 digits)
SNFS difficulty: 200 digits.
Divisors found:

Tue Apr  6 21:51:41 2021  p78 factor: 109262344044998137350683089433355895282039531968949830440930801529162189858949
Tue Apr  6 21:51:41 2021  p94 factor: 6068411833838538315643258050389237681667442805690203557621285878021972989343580591574079624527
Tue Apr  6 21:51:41 2021  elapsed time 01:49:24 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 25x10^199-43 = 27(198)3
#
n: 663048901595604443100571435233898177317736295773532167770817732445751889323906184380266598717890709725496911563127528345951001136024616660731716249403491453969529010842123
m: 5000000000000000000000000000000000000000
deg: 5
c5: 80
c0: -43
skew: 0.88
# Murphy_E = 1.596e-11
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5087573 hash collisions in 45731953 relations (42530247 unique)
Msieve: matrix is 2032774 x 2032999 (712.1 MB)

Sieving start time : 2021/04/06 13:33:10
Sieving end time  : 2021/04/06 19:43:58

Total sieving time: 6hrs 10min 48secs.

Total relation processing time: 1hrs 19min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 17min 21sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

112307926095527074847546584598870364279793772118633331697233950225020140013170316627441193517755530147322221337326289270218911066965252032173825165871382899470071658699932902302894152096343<189>

545442700660772484666711336793497390098997868337605049135807737<63>
205902335771424710315460819282525496867145533228255025998429568195671492290196890880119062980779125068018712861557946974565839<126>

N=112307926095527074847546584598870364279793772118633331697233950225020140013170316627441193517755530147322221337326289270218911066965252032173825165871382899470071658699932902302894152096343
  ( 189 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=545442700660772484666711336793497390098997868337605049135807737 (pp63)
 r2=205902335771424710315460819282525496867145533228255025998429568195671492290196890880119062980779125068018712861557946974565839 (pp126)
Version: Msieve v. 1.48
Total time:
Scaled time: 178.33 units (timescale=1.320).
Factorization parameters were as follows:
n: 112307926095527074847546584598870364279793772118633331697233950225020140013170316627441193517755530147322221337326289270218911066965252032173825165871382899470071658699932902302894152096343
m: 10000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -43
skew: 1.11
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7950000, 17550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3318017 x 3318244
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time:

26947367741136196687166179488671507963214727470193350443364349193982170486347475875631165598080830093623520440593760476549082157520757256514997083508419808022839527<164>

193890864520698718989181549847955488671955413<45>
138982142391032788330776538792048275833294357239514515706356271988391463932804541187766902255210690261707481449747026379<120>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2344898722
Step 1 took 25750ms
Step 2 took 11891ms
********** Factor found in step 2: 193890864520698718989181549847955488671955413
Found prime factor of 45 digits: 193890864520698718989181549847955488671955413
Prime cofactor 138982142391032788330776538792048275833294357239514515706356271988391463932804541187766902255210690261707481449747026379 has 120 digits

GMP-ECM

104346796877003326958183734545518716439647922081564074361678155912537866135375674023978396864974367723365892442179358765897202179832892518835722341333492100792488137118403373517292015312774277<192>

5693281405710697319512798770944805013951379<43>
111514406732287492518470455253386476639287869<45>
164355973603138831307822450113022063503962116199086049401522684570171449859895750892442425438067266167827<105>

#
# N = 25x10^204-43 = 27(203)3
#
n: 104346796877003326958183734545518716439647922081564074361678155912537866135375674023978396864974367723365892442179358765897202179832892518835722341333492100792488137118403373517292015312774277
m: 50000000000000000000000000000000000000000
deg: 5
c5: 80
c0: -43
skew: 0.88
# Murphy_E = 9.845e-12
type: snfs
lss: 1
rlim: 18600000
alim: 18600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 104346796877003326958183734545518716439647922081564074361678155912537866135375674023978396864974367723365892442179358765897202179832892518835722341333492100792488137118403373517292015312774277 (192 digits)
Using B1=37890000, B2=192391008826, polynomial Dickson(12), sigma=1:70227430
Step 1 took 104857ms
Step 2 took 34646ms
********** Factor found in step 2: 111514406732287492518470455253386476639287869
Found prime factor of 45 digits: 111514406732287492518470455253386476639287869
Composite cofactor 935724808432228507803924464926397750292167593462336195232081544566714231349518898995201918544356234339830549921363245180002955550201246536232083433 has 147 digits



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 935724808432228507803924464926397750292167593462336195232081544566714231349518898995201918544356234339830549921363245180002955550201246536232083433 (147 digits)
Using B1=40840000, B2=192394462276, polynomial Dickson(12), sigma=1:3844128363
Step 1 took 77952ms
Step 2 took 27534ms
********** Factor found in step 2: 5693281405710697319512798770944805013951379
Found prime factor of 43 digits: 5693281405710697319512798770944805013951379
Prime cofactor 164355973603138831307822450113022063503962116199086049401522684570171449859895750892442425438067266167827 has 105 digits

27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<206>

12466231636846188520451920609929604004464475715294728532343200023149<68>
2228241748346433917452944401867292639290089338373380648762414423835950014659934220490400787972385728917030277626747350491446963613906059777<139>

Number: n
N=27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 206 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Nov 20 11:21:24 2008  prp68 factor: 12466231636846188520451920609929604004464475715294728532343200023149
Thu Nov 20 11:21:24 2008  prp139 factor: 2228241748346433917452944401867292639290089338373380648762414423835950014659934220490400787972385728917030277626747350491446963613906059777
Thu Nov 20 11:21:24 2008  elapsed time 32:26:42 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 163.61 hours.
Scaled time: 335.55 units (timescale=2.051).
Factorization parameters were as follows:
name: KA_2_7_204_3
n: 27777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
type: snfs
skew: 1.11
deg: 5
c5: 25
c0: -43
m: 100000000000000000000000000000000000000000
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 26500001)
Primes: RFBsize:664579, AFBsize:663590, largePrimes:35068129 encountered
Relations: rels:27426805, finalFF:95765
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 160.78 hours.
Total relation processing time: 2.82 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,10000000,10000000,29,29,58,58,2.5,2.5,100000
total time: 163.61 hours.
 --------- CPU info (if available) ----------

2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773<208>

143425786618188175775646429978168020129442119101986143149354949<63>
19367352574976367358721455354278427551196919304532856400601511224304113913383691580181508262221178628657992605570287251888630596463743814912138377<146>

Number: 27773_207
N=2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
  ( 208 digits)
SNFS difficulty: 209 digits.
Divisors found:
 r1=143425786618188175775646429978168020129442119101986143149354949
 r2=19367352574976367358721455354278427551196919304532856400601511224304113913383691580181508262221178628657992605570287251888630596463743814912138377
Version: 
Total time: 565.11 hours.
Scaled time: 2054.17 units (timescale=3.635).
Factorization parameters were as follows:
n: 2777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777773
m: 500000000000000000000000000000000000000000
deg: 5
c5: 4
c0: -215
skew: 2.22
# Murphy_E = 6.89e-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 rational special-q in [13000000, 27700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 43527641
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4445227 x 4445471
Total sieving time: 498.55 hours.
Total relation processing time: 12.16 hours.
Matrix solve time: 53.17 hours.
Time per square root: 1.22 hours.
Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 565.11 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 36991244k/38797312k available (5222k kernel code, 1057684k absent, 748384k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.53 BogoMIPS (lpj=3333265)
Total of 12 processors activated (79998.36 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

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

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

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

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

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

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

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

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

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

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

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

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

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

GGNFS / Msieve v1.39

Core i7 980

4534462369003821098745317193209490650753489146757777552050101664661568223599435792859813835243130291571333537397315479811423052659344403<136>

593057878529807184836777092279984620786650510939399<51>
7645901914741898647804132553361482485618549720360243654944975125328852916668125397397<85>

Number: 27773_208
N = 4534462369003821098745317193209490650753489146757777552050101664661568223599435792859813835243130291571333537397315479811423052659344403 (136 digits)
Divisors found:
r1=593057878529807184836777092279984620786650510939399 (pp51)
r2=7645901914741898647804132553361482485618549720360243654944975125328852916668125397397 (pp85)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 87.53 hours.
Factorization parameters were as follows:
# Murphy_E = 3.939e-11, selected by Erik Branger
# expecting poly E from 3.77e-011 to > 4.34e-011
n: 4534462369003821098745317193209490650753489146757777552050101664661568223599435792859813835243130291571333537397315479811423052659344403
Y0: -277410773430222065496627917
Y1: 23666777313739
c0: -23962605913678303339757256465023040
c1: 168276956618620350816579625896
c2: -79263501155271969040102
c3: -109453915352766097
c4: 7757282726
c5: 2760
skew: 2549579.94
type: gnfs
# selected mechanically
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21878496
Relations: 3514424 relations
Pruned matrix : 2079403 x 2079627
Polynomial selection time: 0.00 hours.
Total sieving time: 84.48 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.75 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13900000,13900000,28,28,55,55,2.6,2.6,100000
total time: 87.53 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

568985783384657038270698658018336774725236591381820316129914380346137603137813439025928084754143952958902482819256838840337004569126974823544804501914404233493113<162>

15658021973270035300968969404138169712072122060584313148022935799864213446296754711593895653370306589386879545494018699767469380250027740553311189444798275193803266744280269<173>

2221036521247099293944447408739566121413767614402369693392266635423464075418148813697194514803129851496300904158865739762121939848686392242408601040023981<154>

7786570959878511039804254984732098450296201653614363702742368499409452483028211100105105032860306293694872989799719599977140117122377839702733401891987954177721366325115287733923184239322468521425407<199>

36847367503549738382108350042533011609846904026559395065340311761068642442162746050252233539619733665853276588740525705796379046647838239045037982712461995106130069<164>

35508149415376670486519922214719503314112808927332347739195379110245202262284880004212267937731548805750083690355191952238756594385017681443895053739<149>

7458105505559979915076096645231169567699<40>
1222640338614354540210565408974350595571100399617577<52>
3894043471714834307910133107717313076348155215562694776993<58>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=507883730
Step 1 took 36457ms
Step 2 took 23016ms
********** Factor found in step 2: 7458105505559979915076096645231169567699
Found probable prime factor of 40 digits: 7458105505559979915076096645231169567699
Composite cofactor

Divisors found:
 r1=1222640338614354540210565408974350595571100399617577 (pp52)
 r2=3894043471714834307910133107717313076348155215562694776993 (pp58)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 6.69 hours.
Scaled time: 16.05 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  4761014628836441744462562115042368376391167689711905928855321976604013086327948938184172511052480672498005961
skew:  19533652.57
Y0:  -487927190095682143017286695
Y1:  19403334376273
c0:  -1021665778973020122871520787064
c1:  -749802455515804683831886
c2:  -20829075366962795
c3:  725664934
c4:  84
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1600000, 3000001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 417780 x 418006
Total sieving time: 6.51 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.

14331000246493204239683112922549542267852127007056584521373253767619964803063394612690387338274662218324190155176070669028415507288746725366443676302831232408697197429591795788978887570436866211514098838042500014331<215>

50433359926884051843879037344097506805151480809157974981281041218565726488937011<80>
284157158421918038041699449940755399475095544786748596628576452662690499137835950554413896205847229996728560170208868947939799047876121<135>

Number: n
N=14331000246493204239683112922549542267852127007056584521373253767619964803063394612690387338274662218324190155176070669028415507288746725366443676302831232408697197429591795788978887570436866211514098838042500014331
  ( 215 digits)
SNFS difficulty: 220 digits.
Divisors found:

Tue Nov 14 20:16:42 2017  p80 factor: 50433359926884051843879037344097506805151480809157974981281041218565726488937011
Tue Nov 14 20:16:42 2017  p135 factor: 284157158421918038041699449940755399475095544786748596628576452662690499137835950554413896205847229996728560170208868947939799047876121
Tue Nov 14 20:16:42 2017  elapsed time 05:35:40 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.753).
Factorization parameters were as follows:
#
# 25x10^218-43 27(217)3
#
n: 14331000246493204239683112922549542267852127007056584521373253767619964803063394612690387338274662218324190155176070669028415507288746725366443676302831232408697197429591795788978887570436866211514098838042500014331
m: 5000000000000000000000000000000000000
deg: 6
c6: 4
c0: -1075
skew: 2.54
# Murphy_E = 3.45e-12
type: snfs
lss: 1
rlim: 33000000
alim: 33000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 33000000/33000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 58900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11645858 hash collisions in 71208826 relations (61091050 unique)
Msieve: matrix is 3750769 x 3750994 (1065.1 MB)

Sieving start time: 2017/11/13 04:24:42
Sieving end time  : 2017/11/14 14:39:08

Total sieving time: 34hrs 14min 26secs.

Total relation processing time: 5hrs 3min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 5sec.

Prototype def-par.txt line would be:
snfs,220,6,0,0,0,0,0,0,0,0,33000000,33000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297376K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406084K reserved, 0K cma-reserved)
[    0.100623] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.61 BogoMIPS (lpj=11977236)
[    0.098232] smpboot: Total of 16 processors activated (95817.88 BogoMIPS)

3290341612080815018177132416574071708803091788284891711521726771983188104336756545531211367349964203164660761654182927193972231930102198720165643110642752149382151491649777290512723606003<187>

20124799963901452339893757476941751059901265859155025027<56>
163496860489685076564327119290264248945372783653961590105788158188330188959406433328129465346351929128237067042366690569512930791889<132>

Number: 27773_219
N = 3290341612080815018177132416574071708803091788284891711521726771983188104336756545531211367349964203164660761654182927193972231930102198720165643110642752149382151491649777290512723606003 (187 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=20124799963901452339893757476941751059901265859155025027 (pp56)
r2=163496860489685076564327119290264248945372783653961590105788158188330188959406433328129465346351929128237067042366690569512930791889 (pp132)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 66.87 hours.
Factorization parameters were as follows:
n: 3290341612080815018177132416574071708803091788284891711521726771983188104336756545531211367349964203164660761654182927193972231930102198720165643110642752149382151491649777290512723606003
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c0: -86
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: 7687304 relations
Pruned matrix : 6609853 x 6610079
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 34.55 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 31.77 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 66.87 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

9931720952307867286830067066950274681366030331639701470823583020726665893011824225197897792241673528297017713411710152009450901392523611234111999003110739704951101211816830443690918657852739931746398568753613863<211>

25995861058646689947707573217975609932182754567681<50>
32810503547818568070423610588583001992858819304910564393935727<62>
11644139670478439700475021320725834452910108223313837164718595751413882794410827724051993453031067849<101>

Number: 27773_220
N = 9931720952307867286830067066950274681366030331639701470823583020726665893011824225197897792241673528297017713411710152009450901392523611234111999003110739704951101211816830443690918657852739931746398568753613863 (211 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=25995861058646689947707573217975609932182754567681 (pp50)
r2=32810503547818568070423610588583001992858819304910564393935727 (pp62)
r3=11644139670478439700475021320725834452910108223313837164718595751413882794410827724051993453031067849 (pp101)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 46.94 hours.
Factorization parameters were as follows:
n: 9931720952307867286830067066950274681366030331639701470823583020726665893011824225197897792241673528297017713411710152009450901392523611234111999003110739704951101211816830443690918657852739931746398568753613863
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 25
c0: -43
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30707617
Relations: 7418480 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 22.56 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 6503677 x 6503903
Matrix solve time: 23.77 hours.
time per square root: 0.26 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: 46.94 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

7744125505161028597224782387908744455148858880404600839036437154406803085054533095596886619805064437316421181935697698587597847690474722331822824768260423252337886139656214131130138402138513105487606831318714923<211>

214129594390928930467625278028948521959054887572920137<54>
36165601150034631924455173505202823489406821150827591796998820716176850635480292238986867620235260781238740080224516345568826962469116924809710086240254759379<158>

Number: n
N=7744125505161028597224782387908744455148858880404600839036437154406803085054533095596886619805064437316421181935697698587597847690474722331822824768260423252337886139656214131130138402138513105487606831318714923  ( 211 digits)
SNFS difficulty: 222 digits.
Divisors found:

Fri Apr 10 16:58:56 2020  p54 factor: 214129594390928930467625278028948521959054887572920137
Fri Apr 10 16:58:56 2020  p158 factor: 36165601150034631924455173505202823489406821150827591796998820716176850635480292238986867620235260781238740080224516345568826962469116924809710086240254759379
Fri Apr 10 16:58:56 2020  elapsed time 08:26:24 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.129).
Factorization parameters were as follows:
#
N = # 25x10^221-43 = 27(220)3
#
n: 7744125505161028597224782387908744455148858880404600839036437154406803085054533095596886619805064437316421181935697698587597847690474722331822824768260423252337886139656214131130138402138513105487606831318714923
m: 10000000000000000000000000000000000000
deg: 6
c6: 5
c0: -86
skew: 1.61
# Murphy_E = 2.806e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 72400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9222989 hash collisions in 59308375 relations (52551696 unique)
Msieve: matrix is 4291840 x 4292065 (1501.1 MB)

Sieving start time: 2020/04/08 20:37:23
Sieving end time  : 2020/04/10 08:31:36

Total sieving time: 35hrs 54min 13secs.

Total relation processing time: 7hrs 51min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 15min 1sec.

Prototype def-par.txt line would be:
snfs,222,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.142709] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283224K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2712K bss, 420236K reserved, 0K cma-reserved)
[    0.176573] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.53 BogoMIPS (lpj=11977076)
[    0.174219] smpboot: Total of 16 processors activated (95816.60 BogoMIPS)

23326142236515418689202208732118160336936240457613136815792147070865159647998453274259364472545296139935882097026905791287563718164142202494987188016494979630873377605365112206353213<182>

43389053572418683339623251087242578620674789<44>
205287218456525743471010906024131799521104129821769096703941668417<66>
2618790954030878764206360870312890538477513630096991224481748740328793401<73>

Number: 27773_222
N = 23326142236515418689202208732118160336936240457613136815792147070865159647998453274259364472545296139935882097026905791287563718164142202494987188016494979630873377605365112206353213 (182 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=43389053572418683339623251087242578620674789 (pp44)
r2=205287218456525743471010906024131799521104129821769096703941668417 (pp66)
r3=2618790954030878764206360870312890538477513630096991224481748740328793401 (pp73)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 57.15 hours.
Factorization parameters were as follows:
n: 23326142236515418689202208732118160336936240457613136815792147070865159647998453274259364472545296139935882097026905791287563718164142202494987188016494979630873377605365112206353213
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2500
c0: -43
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 35131064
Relations: 8909298 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 28.43 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 7647309 x 7647534
Matrix solve time: 27.90 hours.
time per square root: 0.46 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 57.15 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

447112379008691477511511008876404913726761384022014278665374696897845893403255294972327950147802314167358870323964892938520163987082056161843388311692187970777<159>

8442305544231700205281500930416686505838719<43>
52960933084705281361454235573127093232597701522051898714174631778199770281961833826797163440217821616089989880290983<116>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2270764973
Step 1 took 217982ms
Step 2 took 66409ms
********** Factor found in step 2: 8442305544231700205281500930416686505838719
Found probable prime factor of 43 digits: 8442305544231700205281500930416686505838719

944927047194439394047704492919546467041452287627735670797154106366815512637976495746101560703543272951730221193066104448046199164357500360255544299389063481052841110986578809947642865587590192365515329363<204>

2349739375531539601952995404996780294386930925962851312630874730467680610736951362637320379029996319772491329562813573947990942518992954157725168292352834822837884054751113910570677329482885422085275223240781146804215129<220>

4568299464557637263465042593779376523<37>

514357562099767516156232953020392809199535905297888560652067275750332263909629941300690815759480524228089554203260947697474925647339889175922329072581169274415927907211734321581543723<183>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3159373553
Step 1 took 39698ms
Step 2 took 13673ms
********** Factor found in step 2: 4568299464557637263465042593779376523
Found probable prime factor of 37 digits: 4568299464557637263465042593779376523

514357562099767516156232953020392809199535905297888560652067275750332263909629941300690815759480524228089554203260947697474925647339889175922329072581169274415927907211734321581543723<183>

40715466712102851855647984461713397517<38>
12632977186207040696301005858131639403610866753304520681790173744472490399003342629754773381411866856414273291446658523269696227361883303731837719<146>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1703840073
Step 1 took 78106ms
Step 2 took 30159ms
********** Factor found in step 2: 40715466712102851855647984461713397517
Found probable prime factor of 38 digits: 40715466712102851855647984461713397517

137543746982376212267737575905265178696751155250730946814399512429173270529121354803973847850924330298824712417228030834611144473024177276476872708134753228072461021584482187240713095618622562824998328827<204>

997531471487029947803388809639428547<36>
29593971739638136206261321414690265913<38>
4659196104932225926272615584786352997864876822832045030847948577672387198619718531598401896901988638331380076004381583951252865457<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=694758496
Step 1 took 37235ms
Step 2 took 12996ms
********** Factor found in step 2: 997531471487029947803388809639428547
Found probable prime factor of 36 digits: 997531471487029947803388809639428547

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2440923963
Step 1 took 26461ms
Step 2 took 10386ms
********** Factor found in step 2: 29593971739638136206261321414690265913
Found probable prime factor of 38 digits: 29593971739638136206261321414690265913

4237395880058295059950255632586952112465130178883737941811967114291800264870169249272887198155163353781277869142678778226781761177877989766174328782970428451809889321635936279374248104266308116557<196>

12955582508484562200009087312779<32>

327071042717163852277166983690898704214641015276187150106851838727626670842294456169993459199491313223839775384641927803771070048033085749113188915855229747558082183<165>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2110631547
Step 1 took 36826ms
Step 2 took 12614ms
********** Factor found in step 2: 12955582508484562200009087312779
Found probable prime factor of 32 digits: 12955582508484562200009087312779

56319042401104431740265191006832033747775930040107065383139470461285149229681767245954649929133861584775095750087790686485265599241042782393359842526370597505819294589891637949755903470720235600666567856033154776963267006194349<227>

1174089258961823313655597353133174596465521694821327096571189728127891194800193489909876908482090442443796347173497517975306554705514932067195476468903071887137147714517848504914737638014192390962330520215468860804673814522075226247<232>

468834461301897771295758106363909830312022887071105161687506950735727356866320799863992537722260252796580627513876334375571305003328074155248898320009886630145214830320884005113193194507489139093926718786984078408335291<219>

3426059046194604254363158582238397673694475899646050405224944872368670180899513598891638433890626222895248002362849<115>

393933064444897678626335215910267<33>
8697058854458845219292900385284250445773642738275473731967839384845822548990020947<82>

N=3426059046194604254363158582238397673694475899646050405224944872368670180899513598891638433890626222895248002362849
  ( 115 digits)
Divisors found:
 r1=393933064444897678626335215910267 (pp33)
 r2=8697058854458845219292900385284250445773642738275473731967839384845822548990020947 (pp82)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 37.92 hours.
Scaled time: 36.78 units (timescale=0.970).
Factorization parameters were as follows:
name: cc115
n: 3426059046194604254363158582238397673694475899646050405224944872368670180899513598891638433890626222895248002362849
skew: 62893.85
# norm 1.60e+16
c5: 21600
c4: -4971483240
c3: -554476756601857
c2: 16675716043060804322
c1: 513514806856038311334560
c0: -10436204021504866772640203904
# alpha -6.40
Y1: 3070111004569
Y0: -10966645764101947056329
# Murphy_E 5.34e-10
# M 940677959742787843559602773421735049971481524279230695254815885365597872941917994623904711024595138130648128121909
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, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 493499 x 493725
Polynomial selection time: 2.80 hours.
Total sieving time: 34.17 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 37.92 hours.
 --------- CPU info (if available) ----------

20230323528108217859253544597469039249878377317981366205051953615234475882933656183402027824511848160060571854439391152391005348921817220046531848068295824330940514942816927054802255182598212333704818718215278916239234322067737807271<233>

55818440032378287775929790176131797<35>

362430829603502501314661728939002452711850386774510670195394861378696027471878981682714325177060892468520859534633272723170201222210848997290389616576652637995006082821384138257317860364513850620043<198>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2286718986
Step 1 took 46650ms
Step 2 took 14378ms
********** Factor found in step 2: 55818440032378287775929790176131797
Found probable prime factor of 35 digits: 55818440032378287775929790176131797

61506928626461699048859218819275816655032227428436069763977946991001822799525172405580645006982371151284025537289096901547892805818531674992147745771313852242068438738452764522486087575736964708484636177468630980479817792636959<227>

19262908086423917812981734437708481766259<41>
3193024041360113007001747708356923970042248226696602405677802431747273024736080683022908438345404132725638059903968696917988948038546621627250288738150279143981171218589594605555788027301<187>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=43601564
Step 1 took 38689ms
Step 2 took 14221ms
********** Factor found in step 2: 19262908086423917812981734437708481766259
Found probable prime factor of 41 digits: 19262908086423917812981734437708481766259

1880290620726804528070745859393221191296480690129835571593682434106907458187789437835975028838017250087001047021029245513833410914124344521288161532307491897639686226126608090349017288670564584335058161525538445663023189925071922996533421<238>

1227332113726813568003314307938253907375468553421046674150007778349324272659618865092425705417771428278528274228869573164576300156026045240476721395849804277217006772246478161222635038484429759709192434324533239505110407780077747<229>

172805279089098636478115150821495954017070394324729563444275603747205021170151825557467109875980507119150330198300489812986988407955553310189779437705180609911872071036684070096697<180>

10026009030633989095180544557<29>
17235699525214909060511828524689621542040626082814197423178807366145791560077156864532170317687640232369430747703958574776634372184386022779525518073021<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=941275897
Step 1 took 32301ms
Step 2 took 11017ms
********** Factor found in step 2: 10026009030633989095180544557
Found probable prime factor of 29 digits: 10026009030633989095180544557

23172131771069788920332496995569693254871257190533908900006362150824285519482186299187719518213222363195120977214108754512069243883406531595696619112181263653357939061657857005510825449461187317692148471<203>

36165477900361067222129341017703283102151236435728650262477524787352818106117478648925571408247405971880317263797454944049794836910569760537855334883761539215616373713173217517081920588721777289322661317070966332893351658278769555769<233>

15130420365083438147894824670671<32>

2390249380236675879086564971747290824115456108806527515111329463221008013972334715496177953502033221240182478795463753643839159819719128401981795456591175963071985966668948359583303532034351475979307639<202>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1644058597
Step 1 took 48385ms
Step 2 took 14501ms
********** Factor found in step 2: 15130420365083438147894824670671
Found probable prime factor of 32 digits: 15130420365083438147894824670671

33111818357124395481922074976451203958403584763360533376993698629231825097066096260971251928822689577561364832776535040129182702849523357413556460740123565383422884767419966520856147145811683893490126847688472295767<215>

437536921860510193313022023047051<33>
3927336369199720717742003885212943<34>
19269490176005917894446573063293464245697359971044357718272151114948093242624567804941391250647887376423086372783898055942440031507884078116515235019<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2329603581
Step 1 took 41989ms
Step 2 took 13373ms
********** Factor found in step 2: 437536921860510193313022023047051
Found probable prime factor of 33 digits: 437536921860510193313022023047051

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2968600116
Step 1 took 31626ms
Step 2 took 10109ms
********** Factor found in step 2: 3927336369199720717742003885212943
Found probable prime factor of 34 digits: 3927336369199720717742003885212943