280504908835904628330995792426367461430575035063113604488078541374474053295932678821879382889200561<99>

40817008110892419885360745295659<32>
6872255508630705731993785461808742826606432539570772235049035346579<67>

Number: n
N=280504908835904628330995792426367461430575035063113604488078541374474053295932678821879382889200561
  ( 99 digits)
SNFS difficulty: 101 digits.
Divisors found:
 r1=40817008110892419885360745295659 (pp32)
 r2=6872255508630705731993785461808742826606432539570772235049035346579 (pp67)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.58 hours.
Scaled time: 0.69 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_1_9_100_3
n: 280504908835904628330995792426367461430575035063113604488078541374474053295932678821879382889200561
type: snfs
skew: 1.00
deg: 5
c5: 20
c0: -7
m: 100000000000000000000
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 150001)
Primes: RFBsize:41538, AFBsize:41592, largePrimes:3289182 encountered
Relations: rels:2767321, finalFF:227176
Max relations in full relation-set: 28
Initial matrix: 83196 x 227176 with sparse part having weight 6114936.
Pruned matrix : 41906 x 42385 with weight 1147122.
Total sieving time: 0.50 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,101,5,0,0,0,0,0,0,0,0,500000,500000,28,28,48,48,2.2,2.2,20000
total time: 0.58 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

594198936670417142250034428006910675032083389876682398379113331137221661036983952561<84>

1499785301098546070559433483576047617<37>
396189332056518295199839376172030596884900883633<48>

Sat Aug 18 00:41:33 2007  Msieve v. 1.25
Sat Aug 18 00:41:33 2007  random seeds: 45574060 fe00702c
Sat Aug 18 00:41:33 2007  factoring 594198936670417142250034428006910675032083389876682398379113331137221661036983952561 (84 digits)
Sat Aug 18 00:41:34 2007  commencing quadratic sieve (84-digit input)
Sat Aug 18 00:41:34 2007  using multiplier of 1
Sat Aug 18 00:41:34 2007  using 64kb Opteron sieve core
Sat Aug 18 00:41:34 2007  sieve interval: 6 blocks of size 65536
Sat Aug 18 00:41:34 2007  processing polynomials in batches of 17
Sat Aug 18 00:41:34 2007  using a sieve bound of 1409171 (53774 primes)
Sat Aug 18 00:41:34 2007  using large prime bound of 119779535 (26 bits)
Sat Aug 18 00:41:34 2007  using trial factoring cutoff of 27 bits
Sat Aug 18 00:41:34 2007  polynomial 'A' values have 11 factors
Sat Aug 18 01:03:48 2007  54036 relations (27875 full + 26161 combined from 277827 partial), need 53870
Sat Aug 18 01:03:49 2007  begin with 305702 relations
Sat Aug 18 01:03:49 2007  reduce to 76900 relations in 2 passes
Sat Aug 18 01:03:49 2007  attempting to read 76900 relations
Sat Aug 18 01:03:49 2007  recovered 76900 relations
Sat Aug 18 01:03:49 2007  recovered 69605 polynomials
Sat Aug 18 01:03:50 2007  attempting to build 54036 cycles
Sat Aug 18 01:03:50 2007  found 54036 cycles in 1 passes
Sat Aug 18 01:03:50 2007  distribution of cycle lengths:
Sat Aug 18 01:03:50 2007     length 1 : 27875
Sat Aug 18 01:03:50 2007     length 2 : 26161
Sat Aug 18 01:03:50 2007  largest cycle: 2 relations
Sat Aug 18 01:03:50 2007  matrix is 53774 x 54036 with weight 1726315 (avg 31.95/col)
Sat Aug 18 01:03:50 2007  filtering completed in 4 passes
Sat Aug 18 01:03:50 2007  matrix is 46254 x 46318 with weight 1449783 (avg 31.30/col)
Sat Aug 18 01:03:51 2007  saving the first 48 matrix rows for later
Sat Aug 18 01:03:51 2007  matrix is 46206 x 46318 with weight 1037966 (avg 22.41/col)
Sat Aug 18 01:03:51 2007  matrix includes 64 packed rows
Sat Aug 18 01:03:51 2007  commencing Lanczos iteration
Sat Aug 18 01:04:42 2007  lanczos halted after 732 iterations
Sat Aug 18 01:04:42 2007  recovered 9 nontrivial dependencies
Sat Aug 18 01:04:42 2007  prp37 factor: 1499785301098546070559433483576047617
Sat Aug 18 01:04:42 2007  prp48 factor: 396189332056518295199839376172030596884900883633
Sat Aug 18 01:04:42 2007  elapsed time 00:23:09

404287135153689852139853507001355860700950742482453612994941638390577044704142200043844419<90>

3163117297741861192762916686673115456869<40>
127812881122780074917861322196995275825625504898951<51>

Sat Aug 18 02:48:52 2007  Msieve v. 1.25
Sat Aug 18 02:48:52 2007  random seeds: 17aa9510 0f4a9a94
Sat Aug 18 02:48:52 2007  factoring 404287135153689852139853507001355860700950742482453612994941638390577044704142200043844419 (90 digits)
Sat Aug 18 02:48:52 2007  commencing quadratic sieve (90-digit input)
Sat Aug 18 02:48:52 2007  using multiplier of 35
Sat Aug 18 02:48:52 2007  using 64kb Opteron sieve core
Sat Aug 18 02:48:52 2007  sieve interval: 18 blocks of size 65536
Sat Aug 18 02:48:52 2007  processing polynomials in batches of 6
Sat Aug 18 02:48:52 2007  using a sieve bound of 1584941 (59865 primes)
Sat Aug 18 02:48:52 2007  using large prime bound of 126795280 (26 bits)
Sat Aug 18 02:48:52 2007  using double large prime bound of 385110612518640 (42-49 bits)
Sat Aug 18 02:48:52 2007  using trial factoring cutoff of 49 bits
Sat Aug 18 02:48:52 2007  polynomial 'A' values have 12 factors
Sat Aug 18 04:06:48 2007  60026 relations (16158 full + 43868 combined from 635630 partial), need 59961
Sat Aug 18 04:06:48 2007  begin with 651788 relations
Sat Aug 18 04:06:49 2007  reduce to 145703 relations in 10 passes
Sat Aug 18 04:06:49 2007  attempting to read 145703 relations
Sat Aug 18 04:06:51 2007  recovered 145703 relations
Sat Aug 18 04:06:51 2007  recovered 125654 polynomials
Sat Aug 18 04:06:51 2007  attempting to build 60026 cycles
Sat Aug 18 04:06:51 2007  found 60026 cycles in 5 passes
Sat Aug 18 04:06:51 2007  distribution of cycle lengths:
Sat Aug 18 04:06:51 2007     length 1 : 16158
Sat Aug 18 04:06:51 2007     length 2 : 11640
Sat Aug 18 04:06:51 2007     length 3 : 10601
Sat Aug 18 04:06:51 2007     length 4 : 8002
Sat Aug 18 04:06:51 2007     length 5 : 5438
Sat Aug 18 04:06:51 2007     length 6 : 3507
Sat Aug 18 04:06:51 2007     length 7 : 2180
Sat Aug 18 04:06:51 2007     length 9+: 2500
Sat Aug 18 04:06:51 2007  largest cycle: 19 relations
Sat Aug 18 04:06:51 2007  matrix is 59865 x 60026 with weight 3621110 (avg 60.33/col)
Sat Aug 18 04:06:52 2007  filtering completed in 3 passes
Sat Aug 18 04:06:52 2007  matrix is 55875 x 55939 with weight 3404274 (avg 60.86/col)
Sat Aug 18 04:06:53 2007  saving the first 48 matrix rows for later
Sat Aug 18 04:06:53 2007  matrix is 55827 x 55939 with weight 2670443 (avg 47.74/col)
Sat Aug 18 04:06:53 2007  matrix includes 64 packed rows
Sat Aug 18 04:06:53 2007  using block size 21845 for processor cache size 512 kB
Sat Aug 18 04:06:53 2007  commencing Lanczos iteration
Sat Aug 18 04:07:22 2007  lanczos halted after 884 iterations
Sat Aug 18 04:07:22 2007  recovered 17 nontrivial dependencies
Sat Aug 18 04:07:23 2007  prp40 factor: 3163117297741861192762916686673115456869
Sat Aug 18 04:07:23 2007  prp51 factor: 127812881122780074917861322196995275825625504898951
Sat Aug 18 04:07:23 2007  elapsed time 01:18:31

199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<108>

82054863816299707259814398629080646350578566200027409<53>
2437393601039298755451892933667568529233231518271465577<55>

Number: n
N=199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 108 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=82054863816299707259814398629080646350578566200027409 (pp53)
 r2=2437393601039298755451892933667568529233231518271465577 (pp55)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.81 hours.
Scaled time: 1.07 units (timescale=1.324).
Factorization parameters were as follows:
name: KA_1_9_106_3
n: 199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
skew: 1.00
deg: 5
c5: 200
c0: -7
m: 1000000000000000000000
type: snfs
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 150001)
Primes: RFBsize:49098, AFBsize:49236, largePrimes:3580731 encountered
Relations: rels:2988128, finalFF:136292
Max relations in full relation-set: 48
Initial matrix: 98399 x 136292 with sparse part having weight 7847627.
Pruned matrix : 78677 x 79232 with weight 2761136.
Total sieving time: 0.70 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,107,5,0,0,0,0,0,0,0,0,600000,600000,28,28,48,48,2.5,2.5,50000
total time: 0.81 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

370577620241680351107960936083701744464801655582601702548670887408021026411042271800671865947<93>

103768776474506761548880707440030104142231<42>
3571186177883878701163022523856197962069162111081437<52>

Number: 19993_113
N=370577620241680351107960936083701744464801655582601702548670887408021026411042271800671865947
  ( 93 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=103768776474506761548880707440030104142231 (pp42)
 r2=3571186177883878701163022523856197962069162111081437 (pp52)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 1.84 hours.
Scaled time: 1.26 units (timescale=0.683).
Factorization parameters were as follows:
name: 19993_113
n: 370577620241680351107960936083701744464801655582601702548670887408021026411042271800671865947
m: 20000000000000000000000
c5: 125
c0: -14
skew: 0.65
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, 500001)
Primes: RFBsize:49098, AFBsize:63823, largePrimes:1971406 encountered
Relations: rels:1935298, finalFF:127077
Max relations in full relation-set: 0
Initial matrix: 112986 x 127077 with sparse part having weight 7926145.
Pruned matrix : 106103 x 106731 with weight 5732448.
Total sieving time: 1.58 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.84 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

1042152409797449813919505804291041079610830022103112436355806625120281914418679449873<85>

53770152002195367607766769002285035703<38>
19381615468650712446069311543584612837099830391<47>

Sat Aug 18 01:11:25 2007  Msieve v. 1.25
Sat Aug 18 01:11:25 2007  random seeds: 8c7476f8 0ac7e520
Sat Aug 18 01:11:25 2007  factoring 1042152409797449813919505804291041079610830022103112436355806625120281914418679449873 (85 digits)
Sat Aug 18 01:11:25 2007  commencing quadratic sieve (84-digit input)
Sat Aug 18 01:11:25 2007  using multiplier of 23
Sat Aug 18 01:11:25 2007  using 64kb Opteron sieve core
Sat Aug 18 01:11:25 2007  sieve interval: 6 blocks of size 65536
Sat Aug 18 01:11:25 2007  processing polynomials in batches of 17
Sat Aug 18 01:11:25 2007  using a sieve bound of 1412767 (54118 primes)
Sat Aug 18 01:11:25 2007  using large prime bound of 118672428 (26 bits)
Sat Aug 18 01:11:25 2007  using double large prime bound of 341845303975812 (41-49 bits)
Sat Aug 18 01:11:25 2007  using trial factoring cutoff of 49 bits
Sat Aug 18 01:11:25 2007  polynomial 'A' values have 11 factors
Sat Aug 18 01:41:18 2007  54532 relations (16323 full + 38209 combined from 574167 partial), need 54214
Sat Aug 18 01:41:18 2007  begin with 590490 relations
Sat Aug 18 01:41:19 2007  reduce to 127649 relations in 9 passes
Sat Aug 18 01:41:19 2007  attempting to read 127649 relations
Sat Aug 18 01:41:20 2007  recovered 127649 relations
Sat Aug 18 01:41:20 2007  recovered 105145 polynomials
Sat Aug 18 01:41:20 2007  attempting to build 54532 cycles
Sat Aug 18 01:41:20 2007  found 54532 cycles in 6 passes
Sat Aug 18 01:41:21 2007  distribution of cycle lengths:
Sat Aug 18 01:41:21 2007     length 1 : 16323
Sat Aug 18 01:41:21 2007     length 2 : 10945
Sat Aug 18 01:41:21 2007     length 3 : 9517
Sat Aug 18 01:41:21 2007     length 4 : 6903
Sat Aug 18 01:41:21 2007     length 5 : 4676
Sat Aug 18 01:41:21 2007     length 6 : 2756
Sat Aug 18 01:41:21 2007     length 7 : 1628
Sat Aug 18 01:41:21 2007     length 9+: 1784
Sat Aug 18 01:41:21 2007  largest cycle: 20 relations
Sat Aug 18 01:41:21 2007  matrix is 54118 x 54532 with weight 2861941 (avg 52.48/col)
Sat Aug 18 01:41:21 2007  filtering completed in 3 passes
Sat Aug 18 01:41:21 2007  matrix is 49283 x 49347 with weight 2589053 (avg 52.47/col)
Sat Aug 18 01:41:22 2007  saving the first 48 matrix rows for later
Sat Aug 18 01:41:22 2007  matrix is 49235 x 49347 with weight 1923717 (avg 38.98/col)
Sat Aug 18 01:41:22 2007  matrix includes 64 packed rows
Sat Aug 18 01:41:22 2007  commencing Lanczos iteration
Sat Aug 18 01:42:37 2007  lanczos halted after 780 iterations
Sat Aug 18 01:42:37 2007  recovered 16 nontrivial dependencies
Sat Aug 18 01:42:37 2007  prp38 factor: 53770152002195367607766769002285035703
Sat Aug 18 01:42:37 2007  prp47 factor: 19381615468650712446069311543584612837099830391
Sat Aug 18 01:42:37 2007  elapsed time 00:31:12

183833024939807888384756175161493723771813679252307301971496985010466178538582354411973149<90>

228255834357666971162546058313791223921<39>
805381494221740368380247875416367103097200384770669<51>

Sat Aug 18 06:06:11 2007  Msieve v. 1.25
Sat Aug 18 06:06:11 2007  random seeds: 5f6a4b80 2ab61692
Sat Aug 18 06:06:11 2007  factoring 183833024939807888384756175161493723771813679252307301971496985010466178538582354411973149 (90 digits)
Sat Aug 18 06:06:11 2007  commencing quadratic sieve (89-digit input)
Sat Aug 18 06:06:11 2007  using multiplier of 5
Sat Aug 18 06:06:11 2007  using 64kb Opteron sieve core
Sat Aug 18 06:06:11 2007  sieve interval: 18 blocks of size 65536
Sat Aug 18 06:06:11 2007  processing polynomials in batches of 6
Sat Aug 18 06:06:11 2007  using a sieve bound of 1575227 (59526 primes)
Sat Aug 18 06:06:11 2007  using large prime bound of 126018160 (26 bits)
Sat Aug 18 06:06:11 2007  using double large prime bound of 380872498093920 (42-49 bits)
Sat Aug 18 06:06:11 2007  using trial factoring cutoff of 49 bits
Sat Aug 18 06:06:11 2007  polynomial 'A' values have 11 factors
Sat Aug 18 07:19:05 2007  59934 relations (15603 full + 44331 combined from 637765 partial), need 59622
Sat Aug 18 07:19:06 2007  begin with 653368 relations
Sat Aug 18 07:19:07 2007  reduce to 146935 relations in 11 passes
Sat Aug 18 07:19:07 2007  attempting to read 146935 relations
Sat Aug 18 07:19:08 2007  recovered 146935 relations
Sat Aug 18 07:19:08 2007  recovered 124808 polynomials
Sat Aug 18 07:19:09 2007  attempting to build 59934 cycles
Sat Aug 18 07:19:09 2007  found 59934 cycles in 6 passes
Sat Aug 18 07:19:09 2007  distribution of cycle lengths:
Sat Aug 18 07:19:09 2007     length 1 : 15603
Sat Aug 18 07:19:09 2007     length 2 : 11295
Sat Aug 18 07:19:09 2007     length 3 : 10597
Sat Aug 18 07:19:09 2007     length 4 : 8235
Sat Aug 18 07:19:09 2007     length 5 : 5780
Sat Aug 18 07:19:09 2007     length 6 : 3694
Sat Aug 18 07:19:09 2007     length 7 : 2249
Sat Aug 18 07:19:09 2007     length 9+: 2481
Sat Aug 18 07:19:09 2007  largest cycle: 18 relations
Sat Aug 18 07:19:09 2007  matrix is 59526 x 59934 with weight 3646667 (avg 60.84/col)
Sat Aug 18 07:19:10 2007  filtering completed in 3 passes
Sat Aug 18 07:19:10 2007  matrix is 55752 x 55815 with weight 3412104 (avg 61.13/col)
Sat Aug 18 07:19:11 2007  saving the first 48 matrix rows for later
Sat Aug 18 07:19:11 2007  matrix is 55704 x 55815 with weight 2806624 (avg 50.28/col)
Sat Aug 18 07:19:11 2007  matrix includes 64 packed rows
Sat Aug 18 07:19:11 2007  using block size 21845 for processor cache size 512 kB
Sat Aug 18 07:19:11 2007  commencing Lanczos iteration
Sat Aug 18 07:19:45 2007  lanczos halted after 883 iterations
Sat Aug 18 07:19:45 2007  recovered 18 nontrivial dependencies
Sat Aug 18 07:19:46 2007  prp39 factor: 228255834357666971162546058313791223921
Sat Aug 18 07:19:46 2007  prp51 factor: 805381494221740368380247875416367103097200384770669
Sat Aug 18 07:19:46 2007  elapsed time 01:13:35

82497756331829683462558669352925498586702592066075493931163282676698334873528872233466454424657<95>

84709044758553106779503153611219<32>
973895486213706256874024049169829152280917871863189669742989003<63>

Number: 19993_121
N=82497756331829683462558669352925498586702592066075493931163282676698334873528872233466454424657
  ( 95 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=84709044758553106779503153611219 (pp32)
 r2=973895486213706256874024049169829152280917871863189669742989003 (pp63)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 2.15 hours.
Scaled time: 1.46 units (timescale=0.677).
Factorization parameters were as follows:
name: 19993_121
n: 82497756331829683462558669352925498586702592066075493931163282676698334873528872233466454424657
m: 1000000000000000000000000
c5: 20
c0: -7
skew: 0.81
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:63823, largePrimes:2192336 encountered
Relations: rels:2389469, finalFF:130435
Max relations in full relation-set: 0
Initial matrix: 112987 x 130435 with sparse part having weight 4525679.
Pruned matrix : 99255 x 99883 with weight 3222049.
Total sieving time: 1.95 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.15 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

197835118603905915720214023895293099346240518843919779049358943033088066153354205117309<87>

1486751042568008988903546205849<31>
133065397594874242418254943012440252718810034095919697541<57>

Sat Aug 18 01:57:43 2007  Msieve v. 1.25
Sat Aug 18 01:57:43 2007  random seeds: cba2d240 7c081f2e
Sat Aug 18 01:57:43 2007  factoring 197835118603905915720214023895293099346240518843919779049358943033088066153354205117309 (87 digits)
Sat Aug 18 01:57:43 2007  commencing quadratic sieve (86-digit input)
Sat Aug 18 01:57:43 2007  using multiplier of 11
Sat Aug 18 01:57:43 2007  using 64kb Opteron sieve core
Sat Aug 18 01:57:43 2007  sieve interval: 10 blocks of size 65536
Sat Aug 18 01:57:43 2007  processing polynomials in batches of 11
Sat Aug 18 01:57:43 2007  using a sieve bound of 1477219 (56333 primes)
Sat Aug 18 01:57:43 2007  using large prime bound of 118177520 (26 bits)
Sat Aug 18 01:57:43 2007  using double large prime bound of 339283405529280 (41-49 bits)
Sat Aug 18 01:57:43 2007  using trial factoring cutoff of 49 bits
Sat Aug 18 01:57:43 2007  polynomial 'A' values have 11 factors
Sat Aug 18 02:41:39 2007  56816 relations (15831 full + 40985 combined from 595388 partial), need 56429
Sat Aug 18 02:41:40 2007  begin with 611219 relations
Sat Aug 18 02:41:41 2007  reduce to 136446 relations in 10 passes
Sat Aug 18 02:41:41 2007  attempting to read 136446 relations
Sat Aug 18 02:41:42 2007  recovered 136446 relations
Sat Aug 18 02:41:42 2007  recovered 114684 polynomials
Sat Aug 18 02:41:42 2007  attempting to build 56816 cycles
Sat Aug 18 02:41:42 2007  found 56816 cycles in 5 passes
Sat Aug 18 02:41:43 2007  distribution of cycle lengths:
Sat Aug 18 02:41:43 2007     length 1 : 15831
Sat Aug 18 02:41:43 2007     length 2 : 11249
Sat Aug 18 02:41:43 2007     length 3 : 9985
Sat Aug 18 02:41:43 2007     length 4 : 7344
Sat Aug 18 02:41:43 2007     length 5 : 5110
Sat Aug 18 02:41:43 2007     length 6 : 3192
Sat Aug 18 02:41:43 2007     length 7 : 1864
Sat Aug 18 02:41:43 2007     length 9+: 2241
Sat Aug 18 02:41:43 2007  largest cycle: 22 relations
Sat Aug 18 02:41:43 2007  matrix is 56333 x 56816 with weight 3281518 (avg 57.76/col)
Sat Aug 18 02:41:44 2007  filtering completed in 3 passes
Sat Aug 18 02:41:44 2007  matrix is 51901 x 51965 with weight 3009122 (avg 57.91/col)
Sat Aug 18 02:41:44 2007  saving the first 48 matrix rows for later
Sat Aug 18 02:41:44 2007  matrix is 51853 x 51965 with weight 2376073 (avg 45.72/col)
Sat Aug 18 02:41:44 2007  matrix includes 64 packed rows
Sat Aug 18 02:41:44 2007  using block size 20786 for processor cache size 512 kB
Sat Aug 18 02:41:45 2007  commencing Lanczos iteration
Sat Aug 18 02:42:09 2007  lanczos halted after 821 iterations
Sat Aug 18 02:42:09 2007  recovered 18 nontrivial dependencies
Sat Aug 18 02:42:10 2007  prp31 factor: 1486751042568008988903546205849
Sat Aug 18 02:42:10 2007  prp57 factor: 133065397594874242418254943012440252718810034095919697541
Sat Aug 18 02:42:10 2007  elapsed time 00:44:27

15955535317132624037259941748282345796884680309287211931921457057513056386029490246875124343730473568510897621965723672673<122>

336512056301210231838855734796868432039<39>
47414453712323773154974881733917128690695953514154501437581484178811965886517575607<83>

Number: 19993_131
N=15955535317132624037259941748282345796884680309287211931921457057513056386029490246875124343730473568510897621965723672673
  ( 122 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=336512056301210231838855734796868432039 (pp39)
 r2=47414453712323773154974881733917128690695953514154501437581484178811965886517575607 (pp83)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 4.50 hours.
Scaled time: 3.07 units (timescale=0.683).
Factorization parameters were as follows:
name: 19993_131
n: 15955535317132624037259941748282345796884680309287211931921457057513056386029490246875124343730473568510897621965723672673
m: 100000000000000000000000000
c5: 20
c0: -7
skew: 0.81
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 850001)
Primes: RFBsize:63951, AFBsize:63823, largePrimes:1471860 encountered
Relations: rels:1489112, finalFF:145656
Max relations in full relation-set: 0
Initial matrix: 127840 x 145656 with sparse part having weight 5859360.
Pruned matrix : 120924 x 121627 with weight 4468738.
Total sieving time: 4.22 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.50 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

2506658163134994748187870797893663432529551237390369677630812454096726037917263172448982542288494354114405110663168086051263<124>

53144573565322907925832295743438999653609663807679<50>
47166775363319527326178169171770117349576735102560712103900237618601981697<74>

Number: n
N=2506658163134994748187870797893663432529551237390369677630812454096726037917263172448982542288494354114405110663168086051263
  ( 124 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=53144573565322907925832295743438999653609663807679 (pp50)
 r2=47166775363319527326178169171770117349576735102560712103900237618601981697 (pp74)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 4.42 hours.
Scaled time: 5.81 units (timescale=1.315).
Factorization parameters were as follows:
name: KA_1_9_133_3
n: 2506658163134994748187870797893663432529551237390369677630812454096726037917263172448982542288494354114405110663168086051263
skew: 1.00
deg: 5
c5: 1
c0: -35
m: 1000000000000000000000000000
type: snfs
rlim: 1200000
alim: 1200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 550001)
Primes: RFBsize:92938, AFBsize:93179, largePrimes:5793654 encountered
Relations: rels:5159522, finalFF:291661
Max relations in full relation-set: 48
Initial matrix: 186181 x 291661 with sparse part having weight 28321965.
Pruned matrix : 147755 x 148749 with weight 9548185.
Total sieving time: 3.69 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.57 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,48,48,2.5,2.5,75000
total time: 4.42 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8026851159004559609332054757765003362166063234760231744684276174593280101512085023852150293315423290121789999304759128289<121>

2390131300820543368485406409<28>
3358330630726815585866665148198037542537791667019952702420547131059345414855706436951109119321<94>

A factor was found for 2*10^137-7 using GMP-ECM using factor method ECM
   Candidate number: 8026851159004559609332054757765003362166063234760231744684276174593280101512085023852150293315423290121789999304759128289
   Factor: 2390131300820543368485406409
   Factor Type: probable
   Factor Length: 28
   Co-Factor: 3358330630726815585866665148198037542537791667019952702420547131059345414855706436951109119321
   Co-Factor Type: Probable
   Co-Factor Length: 94
   B1: 1000000
   Sigma: 1132383337
   Finder: j_m_berg@yahoo.com
   Found on machine: Office2400AMD

3038225433288924604916760218691466688136793061908400541411772212086364596166670970819363825976523632076976479577808193790171036900767<133>

20210881938782879485293912186383278080876647<44>
150326217455104768578918165545438708371606106048971235069662906160218582347415312161469961<90>

Number: n
N=3038225433288924604916760218691466688136793061908400541411772212086364596166670970819363825976523632076976479577808193790171036900767
  ( 133 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=20210881938782879485293912186383278080876647 (pp44)
 r2=150326217455104768578918165545438708371606106048971235069662906160218582347415312161469961 (pp90)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.57 hours.
Scaled time: 8.62 units (timescale=1.311).
Factorization parameters were as follows:
name: KA_1_9_137_3
n: 3038225433288924604916760218691466688136793061908400541411772212086364596166670970819363825976523632076976479577808193790171036900767
skew: 1.00
deg: 5
c5: 125
c0: -14
m: 2000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 750001)
Primes: RFBsize:114155, AFBsize:114067, largePrimes:6195557 encountered
Relations: rels:5510791, finalFF:295473
Max relations in full relation-set: 48
Initial matrix: 228287 x 295473 with sparse part having weight 28469908.
Pruned matrix : 197360 x 198565 with weight 13852233.
Total sieving time: 5.39 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.94 hours.
Total square root time: 0.08 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,75000
total time: 6.57 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

4428011601390395642836584231850687448801115858923550379701994819226426373237097881196448734695684902694445059446055748666061505081143312595479<142>

435789728193384491010265428807562407041323<42>
7824864009218661541825600129317326360954459<43>
1298538893538002080810765152446905474596595362243224337247<58>

Number: n
N=4428011601390395642836584231850687448801115858923550379701994819226426373237097881196448734695684902694445059446055748666061505081143312595479
  ( 142 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=435789728193384491010265428807562407041323 (pp42)
 r2=7824864009218661541825600129317326360954459 (pp43)
 r3=1298538893538002080810765152446905474596595362243224337247 (pp58)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.67 hours.
Scaled time: 10.36 units (timescale=1.195).
Factorization parameters were as follows:
name: KA_1_9_145_3
n: 4428011601390395642836584231850687448801115858923550379701994819226426373237097881196448734695684902694445059446055748666061505081143312595479
type: snfs
skew: 1.00
deg: 5
c5: 20
c0: -7
m: 100000000000000000000000000000
rlim: 1800000
alim: 1800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1050001)
Primes: RFBsize:135072, AFBsize:134113, largePrimes:5640095 encountered
Relations: rels:4976824, finalFF:312780
Max relations in full relation-set: 28
Initial matrix: 269251 x 312780 with sparse part having weight 17817889.
Pruned matrix : 235514 x 236924 with weight 10920385.
Total sieving time: 7.28 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.10 hours.
Total square root time: 0.11 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,28,28,48,48,2.3,2.3,100000
total time: 8.67 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

10130799617875939439341399345302520071267999743485898743887114293281557156798471710018762477085932643315539431360437715813782457<128>

116574430973904193855146706732208499099941411897<48>
86904130976575581951526367276706846060506184025707483584177277127705512595780481<80>

Number: n
N=10130799617875939439341399345302520071267999743485898743887114293281557156798471710018762477085932643315539431360437715813782457
  ( 128 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=116574430973904193855146706732208499099941411897 (pp48)
 r2=86904130976575581951526367276706846060506184025707483584177277127705512595780481 (pp80)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 17.29 hours.
Scaled time: 20.70 units (timescale=1.197).
Factorization parameters were as follows:
name: KA_1_9_147_3
n: 10130799617875939439341399345302520071267999743485898743887114293281557156798471710018762477085932643315539431360437715813782457
type: snfs
skew: 1.00
deg: 5
c5: 125
c0: -14
m: 200000000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2000001)
Primes: RFBsize:148933, AFBsize:149045, largePrimes:6657395 encountered
Relations: rels:5980839, finalFF:339775
Max relations in full relation-set: 28
Initial matrix: 298043 x 339775 with sparse part having weight 27123958.
Pruned matrix : 283441 x 284995 with weight 19686152.
Total sieving time: 14.52 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 2.42 hours.
Total square root time: 0.09 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.3,2.3,100000
total time: 17.29 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

167322850363413418158164834583548112090064493980285945977571771138046552314385841614896291617004196921469969657494294983<120>

5135103254216728139255928526842762174060283210192549973<55>
32584125786762908430335253253731098461829476256546485262340435371<65>

Number: 19993_150
N=167322850363413418158164834583548112090064493980285945977571771138046552314385841614896291617004196921469969657494294983
  ( 120 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=5135103254216728139255928526842762174060283210192549973 (pp55)
 r2=32584125786762908430335253253731098461829476256546485262340435371 (pp65)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 32.39 hours.
Scaled time: 22.12 units (timescale=0.683).
Factorization parameters were as follows:
name: 19993_150
n: 167322850363413418158164834583548112090064493980285945977571771138046552314385841614896291617004196921469969657494294983
m: 1000000000000000000000000000000
c5: 2
c0: -7
skew: 1.28
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, 1750001)
Primes: RFBsize:114155, AFBsize:113917, largePrimes:2699817 encountered
Relations: rels:2662344, finalFF:256787
Max relations in full relation-set: 0
Initial matrix: 228137 x 256787 with sparse part having weight 20597364.
Pruned matrix : 219117 x 220321 with weight 15817334.
Total sieving time: 30.89 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.28 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 32.39 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

1363523476290425092172349444739152306924486329874070738366011303585880390988622988895824915088159406187843686312671<115>

327984025003795812551523975755537204514529776773084171<54>
4157286246714744149068820102379243249246807718475885348533501<61>

Number: 19993_152
N=1363523476290425092172349444739152306924486329874070738366011303585880390988622988895824915088159406187843686312671
  ( 115 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=327984025003795812551523975755537204514529776773084171 (pp54)
 r2=4157286246714744149068820102379243249246807718475885348533501 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 15.90 hours.
Scaled time: 33.88 units (timescale=2.131).
Factorization parameters were as follows:
n: 1363523476290425092172349444739152306924486329874070738366011303585880390988622988895824915088159406187843686312671
m: 2000000000000000000000000000000
c5: 25
c0: -28
skew: 1.02
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, 2200001)
Primes: RFBsize:176302, AFBsize:176668, largePrimes:5516420 encountered
Relations: rels:5423681, finalFF:472836
Max relations in full relation-set: 28
Initial matrix: 353034 x 472836 with sparse part having weight 41918739.
Pruned matrix : 303636 x 305465 with weight 23920078.
Total sieving time: 15.34 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.44 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 15.90 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.36 BogoMIPS (lpj=2407683)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405128)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

6579531734726439519299411460886328719984998667644823717895997341869179170518434203037769801923197126060538271491217970017073884851615110552581972741<148>

3762028438491263860353713420746250519837842493<46>
1748931950489219682449972965472311190393808085080580038420592920946818270596715052250792592387757778537<103>

Number: n
N=6579531734726439519299411460886328719984998667644823717895997341869179170518434203037769801923197126060538271491217970017073884851615110552581972741
  ( 148 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=3762028438491263860353713420746250519837842493 (pp46)
 r2=1748931950489219682449972965472311190393808085080580038420592920946818270596715052250792592387757778537 (pp103)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 26.79 hours.
Scaled time: 36.59 units (timescale=1.366).
Factorization parameters were as follows:
name: KA_1_9_152_3
n: 6579531734726439519299411460886328719984998667644823717895997341869179170518434203037769801923197126060538271491217970017073884851615110552581972741
skew: 1.00
deg: 5
c5: 125
c0: -14
m: 2000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:203362, AFBsize:204052, largePrimes:6864428 encountered
Relations: rels:6333807, finalFF:471535
Max relations in full relation-set: 28
Initial matrix: 407479 x 471535 with sparse part having weight 32214453.
Pruned matrix : 354626 x 356727 with weight 20521709.
Total sieving time: 23.94 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.55 hours.
Total square root time: 0.10 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 26.79 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

114721705029038009684258993602678013088151782796643426876986034777151039743560427927268917878680910469<102>

351490277394110695323131847836679690401<39>
326386567160734215007637212280611893892518870849999885489152869<63>

Number: 19993_154
N=114721705029038009684258993602678013088151782796643426876986034777151039743560427927268917878680910469
  ( 102 digits)
Divisors found:
 r1=351490277394110695323131847836679690401 (pp39)
 r2=326386567160734215007637212280611893892518870849999885489152869 (pp63)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 12.31 hours.
Scaled time: 8.41 units (timescale=0.683).
Factorization parameters were as follows:
name: 19993_154
n: 114721705029038009684258993602678013088151782796643426876986034777151039743560427927268917878680910469
skew: 6838.50
# norm 1.98e+14
c5: 57420
c4: 806981968
c3: -8759452266381
c2: 58156300282939815
c1: 72656612070836578217
c0: -291819258638452880648082
# alpha -6.34
Y1: 18567356473
Y0: -18201837623511379385
# Murphy_E 2.96e-09
# M 87987576487836068557265036980859895901729801322279531052036278029304020648302296853134444042946255226
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: RFBsize:169511, AFBsize:170137, largePrimes:4352283 encountered
Relations: rels:4419667, finalFF:389432
Max relations in full relation-set: 0
Initial matrix: 339732 x 389432 with sparse part having weight 18830906.
Pruned matrix : 292135 x 293897 with weight 12311149.
Polynomial selection time: 0.73 hours.
Total sieving time: 9.40 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 1.79 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 12.31 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

6281369174468227010565931881995665318163438158792180025253984512757518274749245757587968753964874412460492994748238651<118>

80965371749079875135193964006734647<35>
77580934154601854923447083339687231799885525920119624203485250965115554274629179933<83>

Number: 19993_155
N=6281369174468227010565931881995665318163438158792180025253984512757518274749245757587968753964874412460492994748238651
  ( 118 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=80965371749079875135193964006734647 (pp35)
 r2=77580934154601854923447083339687231799885525920119624203485250965115554274629179933 (pp83)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.76 hours.
Scaled time: 35.87 units (timescale=2.141).
Factorization parameters were as follows:
n: 6281369174468227010565931881995665318163438158792180025253984512757518274749245757587968753964874412460492994748238651
m: 10000000000000000000000000000000
c5: 2
c0: -7
skew: 1.28
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2500001)
Primes: RFBsize:216816, AFBsize:216386, largePrimes:5531502 encountered
Relations: rels:5461621, finalFF:532447
Max relations in full relation-set: 28
Initial matrix: 433267 x 532447 with sparse part having weight 40040051.
Pruned matrix : 362515 x 364745 with weight 25713600.
Total sieving time: 15.99 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.65 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 16.76 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.37 BogoMIPS (lpj=2407686)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.11 BogoMIPS).

Core 2 Quad Q6600

145973807239044599895795366422383396989943956162809260080362174883363753419104691249139419330074996177706630877434132508487<123>

2996976568019324627915945752938287251955921580343264766897<58>
48707023203560580789797226764686962335766992120048448009260900471<65>

Number: 19993_156
N=145973807239044599895795366422383396989943956162809260080362174883363753419104691249139419330074996177706630877434132508487
  ( 123 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=2996976568019324627915945752938287251955921580343264766897 (pp58)
 r2=48707023203560580789797226764686962335766992120048448009260900471 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.84 hours.
Scaled time: 35.96 units (timescale=2.135).
Factorization parameters were as follows:
n: 145973807239044599895795366422383396989943956162809260080362174883363753419104691249139419330074996177706630877434132508487
m: 10000000000000000000000000000000
c5: 20
c0: -7
skew: 0.81
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2500001)
Primes: RFBsize:216816, AFBsize:215976, largePrimes:5451035 encountered
Relations: rels:5348208, finalFF:507344
Max relations in full relation-set: 28
Initial matrix: 432858 x 507344 with sparse part having weight 36913541.
Pruned matrix : 378693 x 380921 with weight 24853519.
Total sieving time: 15.92 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 16.84 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.37 BogoMIPS (lpj=2407686)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.11 BogoMIPS).

Core 2 Quad Q6600

80971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919<155>

34394983393086726911525485365768764383612514728573<50>
2354170635689371043056236203816500880637102917069176450408667904943221662630923232028232978839918295665403<106>

Number: n
N=80971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919
  ( 155 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=34394983393086726911525485365768764383612514728573 (pp50)
 r2=2354170635689371043056236203816500880637102917069176450408667904943221662630923232028232978839918295665403 (pp106)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 31.86 hours.
Scaled time: 43.52 units (timescale=1.366).
Factorization parameters were as follows:
name: KA_1_9_156_3
n: 80971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919028340080971659919
skew: 1.00
deg: 5
c5: 200
c0: -7
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:216816, AFBsize:216921, largePrimes:6966596 encountered
Relations: rels:6455257, finalFF:502554
Max relations in full relation-set: 28
Initial matrix: 433802 x 502554 with sparse part having weight 33690650.
Pruned matrix : 377727 x 379960 with weight 21241570.
Total sieving time: 28.24 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 3.20 hours.
Total square root time: 0.21 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 31.86 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

8375447526334605577771662770478272811860940267103909696594806862389428912153741724900804340290915307013964090519994266168623471329021457519667330574433<151>

2414090848213589432916932990633<31>

3469400305515585275088518477571852718127951025814114467282749380810057951257353312433363378995962611612031180850967588601<121>

A factor was found for 2*10^158-7 using GMP-ECM using factor method ECM
   Candidate number: 8375447526334605577771662770478272811860940267103909696594806862389428912153741724900804340290915307013964090519994266168623471329021457519667330574433
   Factor: 2414090848213589432916932990633
   Factor Type: probable
   Factor Length: 31
   Co-Factor: 3469400305515585275088518477571852718127951025814114467282749380810057951257353312433363378995962611612031180850967588601
   Co-Factor Type: Composite
   Co-Factor Length: 121
   B1: 1000000
   Sigma: 2790418531
   Finder: j_m_berg@yahoo.com
   Found on machine: RaidBox

3469400305515585275088518477571852718127951025814114467282749380810057951257353312433363378995962611612031180850967588601<121>

31571248495465350553236417278124057355578453451578557<53>
109891134207565565423460471928953710097707635400211726467910976480493<69>

Number: 19993_158
N=3469400305515585275088518477571852718127951025814114467282749380810057951257353312433363378995962611612031180850967588601
  ( 121 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=31571248495465350553236417278124057355578453451578557 (pp53)
 r2=109891134207565565423460471928953710097707635400211726467910976480493 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 34.21 hours.
Scaled time: 72.22 units (timescale=2.111).
Factorization parameters were as follows:
n: 3469400305515585275088518477571852718127951025814114467282749380810057951257353312433363378995962611612031180850967588601
m: 100000000000000000000000000000000
c5: 1
c0: -350
skew: 3.23
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, 4000001)
Primes: RFBsize:283146, AFBsize:283727, largePrimes:5808005 encountered
Relations: rels:5905005, finalFF:708062
Max relations in full relation-set: 28
Initial matrix: 566937 x 708062 with sparse part having weight 48034519.
Pruned matrix : 464821 x 467719 with weight 33043298.
Total sieving time: 32.81 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 34.21 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2115k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.34 BogoMIPS (lpj=2407674)
Calibrating delay using timer specific routine.. 4684.13 BogoMIPS (lpj=2342066)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405119)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Total of 4 processors activated (19119.96 BogoMIPS).

Core 2 Quad Q6600

2045257445293203657275901368596045250448432463656611898839563113039809659893687334469794985520785130231718262830917105591395393828098255783<139>

3697455345403613029511363255055491<34>

553152710237787609065609048212168477170736374711112981864333893174433466742570138896896172282264776518413<105>

A factor was found for 2*10^160-7 using GMP-ECM using factor method ECM
   Candidate number: 2045257445293203657275901368596045250448432463656611898839563113039809659893687334469794985520785130231718262830917105591395393828098255783
   Factor: 3697455345403613029511363255055491
   Factor Type: probable
   Factor Length: 34
   Co-Factor: 553152710237787609065609048212168477170736374711112981864333893174433466742570138896896172282264776518413
   Co-Factor Type: Composite
   Co-Factor Length: 105
   B1: 1000000
   Sigma: 1044781805
   Finder: j_m_berg@yahoo.com
   Found on machine: Test2A

553152710237787609065609048212168477170736374711112981864333893174433466742570138896896172282264776518413<105>

88983955588580213717636993253398599<35>
6216319634016996326346051640131835569522780364047133332828651637579787<70>

Number: 19993_160
N=553152710237787609065609048212168477170736374711112981864333893174433466742570138896896172282264776518413
  ( 105 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=88983955588580213717636993253398599 (pp35)
 r2=6216319634016996326346051640131835569522780364047133332828651637579787 (pp70)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 66.09 hours.
Scaled time: 45.14 units (timescale=0.683).
Factorization parameters were as follows:
name: 19993_160
n: 553152710237787609065609048212168477170736374711112981864333893174433466742570138896896172282264776518413
m: 100000000000000000000000000000000
c5: 2
c0: -7
skew: 1.28
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:282562, largePrimes:5694547 encountered
Relations: rels:5775416, finalFF:641262
Max relations in full relation-set: 0
Initial matrix: 565773 x 641262 with sparse part having weight 34681631.
Pruned matrix : 504212 x 507104 with weight 25688162.
Total sieving time: 56.46 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 9.15 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 66.09 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

535848244558505326981889880448516590560696883242115262678313109743369334051689534371625931132298086183468182941<111>

266553003634306871217586370997016387<36>
2010287774860919418202526881731198334032989116402867831616415928274528790943<76>

Number: 19993_161
N=535848244558505326981889880448516590560696883242115262678313109743369334051689534371625931132298086183468182941
  ( 111 digits)
Divisors found:
 r1=266553003634306871217586370997016387 (pp36)
 r2=2010287774860919418202526881731198334032989116402867831616415928274528790943 (pp76)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 40.17 hours.
Scaled time: 27.43 units (timescale=0.683).
Factorization parameters were as follows:
name: 19993_161
n: 535848244558505326981889880448516590560696883242115262678313109743369334051689534371625931132298086183468182941
skew: 38462.86
# norm 1.20e+15
c5: 14400
c4: 1189258772
c3: -61157220101536
c2: -1665797028207107129
c1: 35529798518665248099674
c0: 456489891463513885112956704
# alpha -6.23
Y1: 579357828269
Y0: -2061265089212221663831
# Murphy_E 1.01e-09
# M 180678419163438711842001077111863466249073647594527557717463130782957750173637314545849972614753799691397384718
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, 2300001)
Primes: RFBsize:230209, AFBsize:229517, largePrimes:7279052 encountered
Relations: rels:6986811, finalFF:516183
Max relations in full relation-set: 0
Initial matrix: 459803 x 516183 with sparse part having weight 43767277.
Pruned matrix : 413366 x 415729 with weight 29134753.
Polynomial selection time: 2.18 hours.
Total sieving time: 30.39 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 6.89 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 40.17 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

358156331175391198893339808547858557746935279886252689505085670398402621508842992831589269212432640565739501473153<114>

2870602702071050972528733922531425863733789921251<49>
124766945602396491462945015979925208408928505160969226719559459403<66>

Number: 19993_163
N=358156331175391198893339808547858557746935279886252689505085670398402621508842992831589269212432640565739501473153
  ( 114 digits)
Divisors found:
 r1=2870602702071050972528733922531425863733789921251 (pp49)
 r2=124766945602396491462945015979925208408928505160969226719559459403 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 21.80 hours.
Scaled time: 46.41 units (timescale=2.129).
Factorization parameters were as follows:
name: 19993_163
n: 358156331175391198893339808547858557746935279886252689505085670398402621508842992831589269212432640565739501473153
skew: 45628.38
# norm 6.02e+15
c5: 51840
c4: -3683687742
c3: -219889653043975
c2: 9456954518204852587
c1: 291767181530166543087243
c0: -21035126965595459418314492
# alpha -5.76
Y1: 58235380021
Y0: -5859783753033214798315
# Murphy_E 5.80e-10
# M 44894003223997302383774582468193933612947797133112838301158642168226836618277433846086123864581870351008011079287
type: gnfs
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 75000
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1800000, 2925001)
Primes: RFBsize:256726, AFBsize:257368, largePrimes:7412290 encountered
Relations: rels:7272447, finalFF:595178
Max relations in full relation-set: 28
Initial matrix: 514169 x 595178 with sparse part having weight 46315095.
Pruned matrix : 446792 x 449426 with weight 29929625.
Total sieving time: 20.50 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.01 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3600000,3600000,27,27,50,50,2.4,2.4,75000
total time: 21.80 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167564k/8912896k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.37 BogoMIPS (lpj=2407686)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405124)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.11 BogoMIPS).

Core 2 Quad Q6600

11816800554328099620625661265085248289285152349800401170173394776530045681226710459572934345806493<98>

8373248538781344557355140845393442753439917323<46>
1411256395841790563687916889769452582264264863948791<52>

Number: 19993_165
N=11816800554328099620625661265085248289285152349800401170173394776530045681226710459572934345806493
  ( 98 digits)
Divisors found:
 r1=8373248538781344557355140845393442753439917323 (pp46)
 r2=1411256395841790563687916889769452582264264863948791 (pp52)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.74 hours.
Scaled time: 5.88 units (timescale=2.144).
Factorization parameters were as follows:
name: 19993_165
n: 11816800554328099620625661265085248289285152349800401170173394776530045681226710459572934345806493
skew: 1237.28
# norm 1.21e+13
c5: 113220
c4: 480980685
c3: 2430122298256
c2: -1110451066817246
c1: -1086725127653307920
c0: 201867094610748041685
# alpha -5.21
Y1: 14369106697
Y0: -2533455370402983104
# Murphy_E 4.96e-09
# M 9593727833258514037579465404153082108432528258843425541809868831355743798983219962802223254495886
type: gnfs
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [650000, 1000001)
Primes: RFBsize:100021, AFBsize:100606, largePrimes:3733014 encountered
Relations: rels:3561953, finalFF:244813
Max relations in full relation-set: 28
Initial matrix: 200709 x 244813 with sparse part having weight 18256185.
Pruned matrix : 171699 x 172766 with weight 10219484.
Polynomial selection time: 0.20 hours.
Total sieving time: 2.33 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,26,26,48,48,2.5,2.5,50000
total time: 2.74 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

8695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391<166>

817671420061668453239381786225641<33>
10634653432374120218546314263462036182748850386624188463030773029103326239415114946154180410545538376172609896000131661254182519321751<134>

Number: n
N=8695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391
  ( 166 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=817671420061668453239381786225641 (pp33)
 r2=10634653432374120218546314263462036182748850386624188463030773029103326239415114946154180410545538376172609896000131661254182519321751 (pp134)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 93.38 hours.
Scaled time: 121.68 units (timescale=1.303).
Factorization parameters were as follows:
name: KA_1_9_166_3
n: 8695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391
skew: 0.51
deg: 5
c5: 200
c0: -7
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 4100001)
Primes: RFBsize:216816, AFBsize:216921, largePrimes:7989364 encountered
Relations: rels:7543447, finalFF:491774
Max relations in full relation-set: 28
Initial matrix: 433802 x 491774 with sparse part having weight 54393195.
Pruned matrix : 412924 x 415157 with weight 43131647.
Total sieving time: 87.10 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 5.82 hours.
Total square root time: 0.15 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 93.38 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

367877880207854154431115542622985059730951001687730951844231434351077499649003285665322749166951767834677806526397408965900679678429209671<138>

1743135735135318112931632042583008770405177795897939247<55>
211043737325077621766641712794419286115201489247799793695341755432378145694998105193<84>

Number: n
N=367877880207854154431115542622985059730951001687730951844231434351077499649003285665322749166951767834677806526397408965900679678429209671
  ( 138 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Jul 16 17:57:06 2008  prp55 factor: 1743135735135318112931632042583008770405177795897939247
Wed Jul 16 17:57:06 2008  prp84 factor: 211043737325077621766641712794419286115201489247799793695341755432378145694998105193
Wed Jul 16 17:57:06 2008  elapsed time 02:13:52 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 53.77 hours.
Scaled time: 98.35 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_9_167_3
n: 367877880207854154431115542622985059730951001687730951844231434351077499649003285665322749166951767834677806526397408965900679678429209671
skew: 0.65
deg: 5
c5: 125
c0: -14
m: 2000000000000000000000000000000000
type: snfs
rlim: 5500000
alim: 5500000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 3400000)
Primes: RFBsize:380800, AFBsize:381052, largePrimes:10127809 encountered
Relations: rels:9638577, finalFF:794819
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 53.49 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,28,28,50,50,2.5,2.5,100000
total time: 53.77 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<171>

12830114637211177323355529618441346334457779697621<50>
21211698624128416961087313467823336589027450130654173021<56>
734892831044394689750114258247584690226884187718469681813063218073<66>

Number: 19993_170
N=199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
  ( 171 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=12830114637211177323355529618441346334457779697621 (pp50)
 r2=21211698624128416961087313467823336589027450130654173021 (pp56)
 r3=734892831044394689750114258247584690226884187718469681813063218073 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 75.19 hours.
Scaled time: 161.22 units (timescale=2.144).
Factorization parameters were as follows:
n: 199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993
m: 10000000000000000000000000000000000
c5: 2
c0: -7
skew: 1.28
type: snfs
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved algebraic special-q in [3600000, 7100001)
Primes: RFBsize:489319, AFBsize:488568, largePrimes:6562233 encountered
Relations: rels:7021806, finalFF:1101502
Max relations in full relation-set: 28
Initial matrix: 977952 x 1101502 with sparse part having weight 56019192.
Pruned matrix : 870570 x 875523 with weight 39881257.
Total sieving time: 70.10 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.88 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,7200000,7200000,27,27,49,49,2.6,2.6,100000
total time: 75.19 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 4043036k/4718592k available (2106k kernel code, 0k reserved, 1299k data, 196k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407677)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Calibrating delay using timer specific routine.. 4810.24 BogoMIPS (lpj=2405121)
Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)
Total of 4 processors activated (19246.10 BogoMIPS).

Core 2 Quad Q6600

28759576239222479445427457166769989217459420861873120828607886411638715838759733339575181195652664367341890322210548946242344000418152022255576564125476234093<158>

2207526515260409521358128631916321637<37>
13027964122020918758541442567091441481729149610702735659626025690125388966404642417856907478360011684956625601358894013289<122>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 28759576239222479445427457166769989217459420861873120828607886411638715838759733339575181195652664367341890322210548946242344000418152022255576564125476234093 (158 digits)
Using B1=990000, B2=1045563762, polynomial Dickson(6), sigma=38349962
Step 1 took 12640ms
Step 2 took 6438ms
********** Factor found in step 2: 2207526515260409521358128631916321637
Found probable prime factor of 37 digits: 2207526515260409521358128631916321637
Probable prime cofactor 13027964122020918758541442567091441481729149610702735659626025690125388966404642417856907478360011684956625601358894013289 has 122 digits

2456126324807748212332019614370378517852379043597597851348467155096655081527062856512150701741207498270226872073646643658904176169684130473<139>

15894919503175203181668247930707066682956960270677<50>
154522728115553347368601457649406025114438915477574353415857930047125020474996771939154949<90>

Number: 19993_173
N=2456126324807748212332019614370378517852379043597597851348467155096655081527062856512150701741207498270226872073646643658904176169684130473
  ( 139 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=15894919503175203181668247930707066682956960270677
 r2=154522728115553347368601457649406025114438915477574353415857930047125020474996771939154949
Version: 
Total time: 111.34 hours.
Scaled time: 224.36 units (timescale=2.015).
Factorization parameters were as follows:
n: 2456126324807748212332019614370378517852379043597597851348467155096655081527062856512150701741207498270226872073646643658904176169684130473
m: 10000000000000000000000000000000000
deg: 5
c5: 2000
c0: -7
skew: 0.32
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1001933 x 1002181
Total sieving time: 111.34 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 111.34 hours.
 --------- CPU info (if available) ----------

44284915557694729347765040994665790317727838758514044960205208090042409601502511298241282501081457510774761806182217110651884955832318902850555861105887073645966049<164>

15567016412456914292718994439665667659340737216997<50>
2844791473480904522073711775181098198268760967308959673803332033658988249807406032658488263343289877533029503274317<115>

N=44284915557694729347765040994665790317727838758514044960205208090042409601502511298241282501081457510774761806182217110651884955832318902850555861105887073645966049
  ( 164 digits)

SNFS difficulty: 175 digits.

Divisors found:

 r1=15567016412456914292718994439665667659340737216997 (pp50)
 
 r2=2844791473480904522073711775181098198268760967308959673803332033658988249807406032658488263343289877533029503274317 (pp115)

Version: GGNFS-0.77.1-20060513-pentium4

Total time: 243.25 hours.

Scaled time: 308.92 units (timescale=1.270).

Factorization parameters were as follows:
n: 44284915557694729347765040994665790317727838758514044960205208090042409601502511298241282501081457510774761806182217110651884955832318902850555861105887073645966049
m: 100000000000000000000000000000000000
c5: 1
c0: -35
skew: 2.04
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, 11600001)

Primes: RFBsize:501962, AFBsize:501746, largePrimes:6521482 encountered

Relations: rels:6972572, finalFF:1128905

Max relations in full relation-set: 28

Initial matrix: 1003772 x 1128905 with sparse part having weight 73472770.

Pruned matrix : 897602 x 902684 with weight 56663657.

Total sieving time: 203.55 hours.

Total relation processing time: 0.14 hours.

Matrix solve time: 39.17 hours.

Time per square root: 0.39 hours.

Prototype def-par.txt line would be:

snfs,175,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 243.25 hours.

485178628161935741748956347913764455921014257668448071700756448525747007886671388604632359810392161691158147611462475124112809600309639<135>

39446498300985945769793398333109<32>
938415519872263667316969095279317859<36>
13106840786581520901091016381324397299535250533490063320445846306169<68>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3920449534
Step 1 took 5543ms
Step 2 took 4741ms
********** Factor found in step 2: 938415519872263667316969095279317859
Found probable prime factor of 36 digits: 938415519872263667316969095279317859
Composite cofactor 517018972819181261265186873969599578006985987149779071701954281046350130590548200326978289463649421 has 99 digits


Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=23067176
Step 1 took 5341ms
Step 2 took 4760ms
********** Factor found in step 2: 39446498300985945769793398333109
Found probable prime factor of 32 digits: 39446498300985945769793398333109

GMP-ECM 6.2.1

113252978751587285152120274127084084614582650358880557515891373662125548580378985430928277226131608413432226944828272335376297243741299360815777087034850289<156>

337158791033264179423030381537184109066737553257391166972636621<63>
335903976890265082828384698860438605538743727883895495015727111914842671618296153307348566709<93>

SNFS difficulty: 176 digits.
Divisors found:
 r1=337158791033264179423030381537184109066737553257391166972636621
 r2=335903976890265082828384698860438605538743727883895495015727111914842671618296153307348566709
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.735).
Factorization parameters were as follows:
n: 113252978751587285152120274127084084614582650358880557515891373662125548580378985430928277226131608413432226944828272335376297243741299360815777087034850289
Y1: 1
Y0: -100000000000000000000000000000000000
c5: 20
c0: -7
skew: 0.81
type: snfs
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [5000000, 7900001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1260259 x 1260507
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,176,5,0,0,0,0,0,0,0,0,10000000,10000000,27,27,54,54,2.6,2.6,100000
total time: 60.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

17627409877592875862755524431702712573753331020172675894845785641634614363837978977696105759851351011013286051608580734849417557610867221197188017549842092081<158>

6631044752755962993815356531776599345929052887359892199003659384708801<70>
2658315625191136943216620194891487819974744893247130197356534955616248735511220311719281<88>

N=17627409877592875862755524431702712573753331020172675894845785641634614363837978977696105759851351011013286051608580734849417557610867221197188017549842092081
  ( 158 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=6631044752755962993815356531776599345929052887359892199003659384708801 (pp70)
 r2=2658315625191136943216620194891487819974744893247130197356534955616248735511220311719281 (pp88)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 91.72 hours.
Scaled time: 175.92 units (timescale=1.918).
Factorization parameters were as follows:
n: 17627409877592875862755524431702712573753331020172675894845785641634614363837978977696105759851351011013286051608580734849417557610867221197188017549842092081
m: 1000000000000000000000000000000000000
deg: 5
c5: 1
c0: -35
skew: 2.04
# Murphy_E = 1.211e-10
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 8300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1361025 x 1361256
Total sieving time: 89.25 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.07 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 91.72 hours.
 --------- CPU info (if available) ----------

708899919882601571089161301978235377557231778772451315886574271335240565026714654049827899857814408300820057054245509628006547443753610724808397215530903964993359076768559<171>

2422412979800028060875855273385371436650307497481923996545305433879222350917<76>
292642058061099792698815532391447578570153293300449978434095450619299934615417887567871388531427<96>

Number: n
N=708899919882601571089161301978235377557231778772451315886574271335240565026714654049827899857814408300820057054245509628006547443753610724808397215530903964993359076768559
  ( 171 digits)
SNFS difficulty: 181 digits.
Divisors found:

Wed Feb  8 23:47:30 2012  prp76 factor: 2422412979800028060875855273385371436650307497481923996545305433879222350917
Wed Feb  8 23:47:30 2012  prp96 factor: 292642058061099792698815532391447578570153293300449978434095450619299934615417887567871388531427
Wed Feb  8 23:47:30 2012  elapsed time 02:07:22 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.657).
Factorization parameters were as follows:
name: KA_19993_181
n: 708899919882601571089161301978235377557231778772451315886574271335240565026714654049827899857814408300820057054245509628006547443753610724808397215530903964993359076768559
m: 1000000000000000000000000000000000000
deg: 5
c5: 20
c0: -7
skew: 0.81
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5122570 hash collisions in 76760304 relations (74573012 unique)
Msieve: matrix is 937289 x 937537 (259.4 MB)

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

12058535234138178255644007171516746691580450209158125965560083061338939966528353799260074047004248388399442871136659897510190430213060887947932697908499<152>

332631886924111871687839925496075026080643<42>
7189253698332573215851654569342616634944430083<46>
5042511156504989445728859938967073888895074881492141751640099771<64>

N=12058535234138178255644007171516746691580450209158125965560083061338939966528353799260074047004248388399442871136659897510190430213060887947932697908499
  ( 152 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=332631886924111871687839925496075026080643 (pp42)
 r2=7189253698332573215851654569342616634944430083 (pp46)
 r3=5042511156504989445728859938967073888895074881492141751640099771 (pp64)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 117.13 hours.
Scaled time: 225.13 units (timescale=1.922).
Factorization parameters were as follows:
n: 12058535234138178255644007171516746691580450209158125965560083061338939966528353799260074047004248388399442871136659897510190430213060887947932697908499
m: 1000000000000000000000000000000000000
deg: 5
c5: 200
c0: -7
skew: 0.51
# Murphy_E = 9.004e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 9800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1562884 x 1563112
Total sieving time: 114.21 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.33 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 117.13 hours.
 --------- CPU info (if available) ----------

205669009517178128648422972095490488121409455706308320402248081273916986821955137228329099247949408714183330318191619940412882271857<132>

6162314909610575169723533703783208734587<40>
2296936960460684436839110679001518570233133723<46>
14530343872204972792659597373865720056086160057<47>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 205669009517178128648422972095490488121409455706308320402248081273916986821955137228329099247949408714183330318191619940412882271857 (132 digits)
Using B1=4080000, B2=8561602150, polynomial Dickson(6), sigma=3272438450
Step 1 took 39391ms
Step 2 took 16031ms
********** Factor found in step 2: 6162314909610575169723533703783208734587
Found probable prime factor of 40 digits: 6162314909610575169723533703783208734587
Composite cofactor 33375283888271021987099616586864311324910632800353159555401618973887857681828893792862302211 has 92 digits


Sat Jul 26 07:08:12 2008  
Sat Jul 26 07:08:12 2008  
Sat Jul 26 07:08:12 2008  Msieve v. 1.36
Sat Jul 26 07:08:12 2008  random seeds: 6c176500 b95488c8
Sat Jul 26 07:08:12 2008  factoring 33375283888271021987099616586864311324910632800353159555401618973887857681828893792862302211 (92 digits)
Sat Jul 26 07:08:12 2008  searching for 15-digit factors
Sat Jul 26 07:08:13 2008  commencing quadratic sieve (92-digit input)
Sat Jul 26 07:08:13 2008  using multiplier of 3
Sat Jul 26 07:08:13 2008  using 64kb Opteron sieve core
Sat Jul 26 07:08:13 2008  sieve interval: 18 blocks of size 65536
Sat Jul 26 07:08:13 2008  processing polynomials in batches of 6
Sat Jul 26 07:08:13 2008  using a sieve bound of 1816147 (68235 primes)
Sat Jul 26 07:08:13 2008  using large prime bound of 197960023 (27 bits)
Sat Jul 26 07:08:13 2008  using double large prime bound of 858695942807652 (42-50 bits)
Sat Jul 26 07:08:13 2008  using trial factoring cutoff of 50 bits
Sat Jul 26 07:08:13 2008  polynomial 'A' values have 12 factors
Sat Jul 26 07:29:14 2008  
Sat Jul 26 07:29:14 2008  
Sat Jul 26 07:29:14 2008  Msieve v. 1.36
Sat Jul 26 07:29:14 2008  random seeds: ae82c9e0 243e55c6
Sat Jul 26 07:29:14 2008  factoring 33375283888271021987099616586864311324910632800353159555401618973887857681828893792862302211 (92 digits)
Sat Jul 26 07:29:14 2008  searching for 15-digit factors
Sat Jul 26 07:29:15 2008  commencing quadratic sieve (92-digit input)
Sat Jul 26 07:29:15 2008  using multiplier of 3
Sat Jul 26 07:29:15 2008  using 64kb Opteron sieve core
Sat Jul 26 07:29:15 2008  sieve interval: 18 blocks of size 65536
Sat Jul 26 07:29:15 2008  processing polynomials in batches of 6
Sat Jul 26 07:29:15 2008  using a sieve bound of 1816147 (68235 primes)
Sat Jul 26 07:29:15 2008  using large prime bound of 197960023 (27 bits)
Sat Jul 26 07:29:15 2008  using double large prime bound of 858695942807652 (42-50 bits)
Sat Jul 26 07:29:15 2008  using trial factoring cutoff of 50 bits
Sat Jul 26 07:29:15 2008  polynomial 'A' values have 12 factors
Sat Jul 26 07:29:15 2008  restarting with 3580 full and 178004 partial relations
Sat Jul 26 08:43:06 2008  68500 relations (16968 full + 51532 combined from 874683 partial), need 68331
Sat Jul 26 08:43:08 2008  begin with 891651 relations
Sat Jul 26 08:43:08 2008  reduce to 174938 relations in 12 passes
Sat Jul 26 08:43:08 2008  attempting to read 174938 relations
Sat Jul 26 08:43:10 2008  recovered 174938 relations
Sat Jul 26 08:43:10 2008  recovered 157541 polynomials
Sat Jul 26 08:43:10 2008  attempting to build 68500 cycles
Sat Jul 26 08:43:10 2008  found 68500 cycles in 6 passes
Sat Jul 26 08:43:11 2008  distribution of cycle lengths:
Sat Jul 26 08:43:11 2008     length 1 : 16968
Sat Jul 26 08:43:11 2008     length 2 : 12406
Sat Jul 26 08:43:11 2008     length 3 : 11767
Sat Jul 26 08:43:11 2008     length 4 : 9209
Sat Jul 26 08:43:11 2008     length 5 : 7086
Sat Jul 26 08:43:11 2008     length 6 : 4525
Sat Jul 26 08:43:11 2008     length 7 : 2793
Sat Jul 26 08:43:11 2008     length 9+: 3746
Sat Jul 26 08:43:11 2008  largest cycle: 20 relations
Sat Jul 26 08:43:11 2008  matrix is 68235 x 68500 (17.0 MB) with weight 4195226 (61.24/col)
Sat Jul 26 08:43:11 2008  sparse part has weight 4195226 (61.24/col)
Sat Jul 26 08:43:11 2008  filtering completed in 3 passes
Sat Jul 26 08:43:11 2008  matrix is 64825 x 64889 (16.2 MB) with weight 3993054 (61.54/col)
Sat Jul 26 08:43:11 2008  sparse part has weight 3993054 (61.54/col)
Sat Jul 26 08:43:12 2008  saving the first 48 matrix rows for later
Sat Jul 26 08:43:12 2008  matrix is 64777 x 64889 (9.5 MB) with weight 3068327 (47.29/col)
Sat Jul 26 08:43:12 2008  sparse part has weight 2106581 (32.46/col)
Sat Jul 26 08:43:12 2008  matrix includes 64 packed rows
Sat Jul 26 08:43:12 2008  using block size 25955 for processor cache size 1024 kB
Sat Jul 26 08:43:12 2008  commencing Lanczos iteration
Sat Jul 26 08:43:12 2008  memory use: 9.7 MB
Sat Jul 26 08:43:37 2008  lanczos halted after 1025 iterations (dim = 64774)
Sat Jul 26 08:43:38 2008  recovered 16 nontrivial dependencies
Sat Jul 26 08:43:38 2008  prp46 factor: 2296936960460684436839110679001518570233133723
Sat Jul 26 08:43:38 2008  prp47 factor: 14530343872204972792659597373865720056086160057
Sat Jul 26 08:43:38 2008  elapsed time 01:14:24

72105570232578015800348837022542093413045708242232442481589975197900227356791743831862438678946684807461249296020162303745378761071936300339106974045918517367661542813<167>

5514863547934385326182003706806291125833169<43>
13074769594178889835066566663305076443191466513833069728993153431618466065893407012020200037422413449469774764709939016395277<125>

GMP-ECM
B1 = 1800000, sigma = 1:3257157143

p43 = 5514863547934385326182003706806291125833169
p125 = 13074769594178889835066566663305076443191466513833069728993153431618466065893407012020200037422413449469774764709939016395277

GMP-ECM 7.0

Windows 7, Intel Core I5 3.2 GHz

975595479090549894391789388447973932088798700506821851387540670136534587298722457720130924913293951795827378135929718101686316785608015492456207957932322941615488553826041570123364048331<186>

128310718329815993931447087546082492234669614032972499261568404331467602141<75>
7603382568421390295289669853703818922067601220779471394301400646577106498502213407372609170471837455808074363591<112>

Number: 19993_191
N=975595479090549894391789388447973932088798700506821851387540670136534587298722457720130924913293951795827378135929718101686316785608015492456207957932322941615488553826041570123364048331
  ( 186 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=128310718329815993931447087546082492234669614032972499261568404331467602141
 r2=7603382568421390295289669853703818922067601220779471394301400646577106498502213407372609170471837455808074363591
Version: 
Total time: 339.94 hours.
Scaled time: 675.12 units (timescale=1.986).
Factorization parameters were as follows:
n: 975595479090549894391789388447973932088798700506821851387540670136534587298722457720130924913293951795827378135929718101686316785608015492456207957932322941615488553826041570123364048331
m: 100000000000000000000000000000000000000
deg: 5
c5: 20
c0: -7
skew: 0.81
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5400000, 9000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1393898 x 1394146
Total sieving time: 339.94 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,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 339.94 hours.
 --------- CPU info (if available) ----------

12826177715670575016786260085383865053219017886746133388400389659279002072069009966581393961820316793763399347532339603837848896082949456522784742748560101224194532072178032477164593849463<188>

5988949810510825396976938071071359<34>

2141640541578786521330418665807384878608009014861807243660439094425838336861612412560917549794060720323430428012100399379490077809110556314251517234498057<154>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 12826177715670575016786260085383865053219017886746133388400389659279002072069009966581393961820316793763399347532339603837848896082949456522784742748560101224194532072178032477164593849463 (188 digits)
...snip...
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1667258712
Step 1 took 0ms
Step 2 took 0ms
********** Factor found in step 2: 5988949810510825396976938071071359
Found probable prime factor of 34 digits: 5988949810510825396976938071071359
Composite cofactor 2141640541578786521330418665807384878608009014861807243660439094425838336861612412560917549794060720323430428012100399379490077809110556314251517234498057 has 154 digits

2141640541578786521330418665807384878608009014861807243660439094425838336861612412560917549794060720323430428012100399379490077809110556314251517234498057<154>

124070608270505222179019502801661968966865805034849254749<57>
17261465639867501280259295456410659213676051382576083857253088149320129699341641322879401065793693<98>

polynomial = X^5 - 350 ; m = 10^39
rlim = alim = 10500000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.7
skew = 10
qintsize = 100000

Initial matrix: 1391677 x 1563859
Pruned  matrix: 1255928 x 1262950

time: 29 days 17 hours or so

p57 = 124070608270505222179019502801661968966865805034849254749
p98 = 17261465639867501280259295456410659213676051382576083857253088149320129699341641322879401065793693

GGNFS-0.77.1

Windows 7, Intel Core I5 3.2 GHz

174696017165826908137709520686202437975145481804656654437923132291679707627057864554542163389921457889949986112360401386750325009899900629612972179026213921585311394701<168>

11667170358913398815665041955189471411552063<44>
14973297877009564069163744169784144852622933059441535151380927290877909948076265128648906395015140182447429525730863799103027<125>

GMP-ECM 7.0-dev
Using B1=6000000, B2=14270867530, polynomial Dickson(12), sigma=1:861794138
Step 1 took 13572ms
Step 2 took 10405ms
********** Factor found in step 2: 11667170358913398815665041955189471411552063
Found probable prime factor of 44 digits: 11667170358913398815665041955189471411552063
Probable prime cofactor 14973297877009564069163744169784144852622933059441535151380927290877909948076265128648906395015140182447429525730863799103027 has 125 digits

GMP-ECM 7.0

Intel Core I5, windows 7

14441593511183154097796427386871518573996533495339778860294257459571274289779472192913897779783461433874919177539864463108001739684533571564870043975452334385773708592703<170>

3939493125278773129225627445664670558259714669<46>
3665850669598823943970838009400242967760461283974430488097122440569292074070628161860811556696784984740153989126088305178587<124>

polynomial = 2 X^5 - 7 ; m = 10^39
rlim = alim = 16500000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.5
skew = 1.9
qintsize = 100000

Initial matrix: 2121772 x 2755663
Pruned  matrix: 1521789 x 1532461

time: 52 days 17 hours or so

p46 = 3939493125278773129225627445664670558259714669
p124 = 3665850669598823943970838009400242967760461283974430488097122440569292074070628161860811556696784984740153989126088305178587

GGNFS-0.77.1

Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

27566082906082870386631523611632981845860877521061145417596899084273799164594045748910237258449880564926976682918679741765283878316336218171655121201165473799<158>

126737002744890618870302039798839111213<39>

217506192422514050828676160747310426077919140757145593033858814546845084341642144629179246821615024153850460476092904323<120>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3740239454
Step 1 took 86019ms
Step 2 took 39671ms
********** Factor found in step 2: 126737002744890618870302039798839111213
Found probable prime factor of 39 digits: 126737002744890618870302039798839111213
Composite cofactor 217506192422514050828676160747310426077919140757145593033858814546845084341642144629179246821615024153850460476092904323 has 120 digits

GMP-ECM 6.3

217506192422514050828676160747310426077919140757145593033858814546845084341642144629179246821615024153850460476092904323<120>

349349305959102081634428573472844496460375239564615937<54>
622603762802314680120941252059936381513090474160173922851498446979<66>

Number: 19993_196
N=217506192422514050828676160747310426077919140757145593033858814546845084341642144629179246821615024153850460476092904323
  ( 120 digits)
Divisors found:
 r1=349349305959102081634428573472844496460375239564615937 (pp54)
 r2=622603762802314680120941252059936381513090474160173922851498446979 (pp66)
Version: Msieve-1.40
Total time: 40.27 hours.
Scaled time: 124.71 units (timescale=3.097).
Factorization parameters were as follows:
name: 19993_196
# Murphy_E = 3.262e-10, selected by Erik Branger
n: 217506192422514050828676160747310426077919140757145593033858814546845084341642144629179246821615024153850460476092904323
Y0: -132134644986917926708210
Y1: 4921829810993
c0: -1462975116974971233433231804799
c1: 45629198865573153848289123
c2: 115335273548633560821
c3: -1977362270764063
c4: -1884258642
c5: 5400
skew: 278408.82
type: gnfs
# selected mechanically
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5

These parameters were not 
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [2500000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 652562 x 652810
Total sieving time: 38.76 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,51,51,2.5,2.5,100000
total time: 40.27 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

82226957966021474907494676594627492243052567308469038155883853076292861347112113319421969160379598357079323711352140390095536766191771144314222829229692182940549501<164>

15628987393184593934605494171555743583996691<44>
162960238765577557032112322936927640177420983<45>
32285069853985377998389155635761941760924446222323784266717240483831016985417<77>

polynomial = 25 X^5 - 28 ; m = 2*10^39
rlim = alim = 16000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.6
skew = 0.9
qintsize = 100000

Initial matrix: 2062217 x 2456667
Pruned  matrix: 1703007 x 1713382

time: 68 days 15 hours or so

p44 = 15628987393184593934605494171555743583996691
p45 = 162960238765577557032112322936927640177420983
p77 = 32285069853985377998389155635761941760924446222323784266717240483831016985417

GGNFS-0.77.1

Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

1274153582797457111459580276547084348054607774501829749830057112624065178331557679710885640782750451071369363593629184335911883251344498716892376501653147689153535220377<169>

24817609158174558917197904607264980906756073794789836905523464911626329277<74>
51340706297559266823235813361364608664555095735080763741381574937237440167795530658147609004301<95>

polynomial = X^5 - 35 ; m = 10^40
rlim = alim = 16000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda 2.5
skew = 7
qintsize = 100000

Initial matrix: 2063257 x 2399499
Pruned  matrix: 1761095 x 1771475

time: 75 days 6 hours or so

p74 = 24817609158174558917197904607264980906756073794789836905523464911626329277
p95 = 51340706297559266823235813361364608664555095735080763741381574937237440167795530658147609004301

GGNFS-0.77.1

Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

9993078790098341671843537764288556165284836425830405643613380568785750689849547598326029675793002740047603989920392742369147357<127>

182349040760987799564918359076342409<36>
54801926834354290860267834669391833266360484125455715191587135759479195271787329085245083573<92>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 9993078790098341671843537764288556165284836425830405643613380568785750689849547598326029675793002740047603989920392742369147357 (127 digits)
Using B1=1296000, B2=1214756678, polynomial Dickson(6), sigma=581816915
Step 1 took 15578ms
********** Factor found in step 1: 182349040760987799564918359076342409
Found probable prime factor of 36 digits: 182349040760987799564918359076342409
Probable prime cofactor 54801926834354290860267834669391833266360484125455715191587135759479195271787329085245083573 has 92 digits

3974271650828732864710114507418056121280758272825905094548023136309935633690903627000001749676502014311458283129038562276613246442594950551340641987331449737182337642937417<172>

495220348836253668680601407811123362533317851431<48>
8025259180419582502638930669130988043226219390671506906639538434159445506068706463868470991982127096882189833004151537755407<124>

Polynomial: 20 X^5 - 7 ; m = 10^40
rlim = alim = 16000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.7
skew = 1.1
qintsize = 100000

Initial matrix: 2060079 x 2371917
Pruned  matrix: 1775155 x 1785519

time: 75 days 22 hours or so

p48 = 495220348836253668680601407811123362533317851431
p124 = 8025259180419582502638930669130988043226219390671506906639538434159445506068706463868470991982127096882189833004151537755407

GGNFS-0.77.1

Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

293741830305344632602405745590200772541013703056383744327110902228031782866039038289247580301672859723588937682670700721136193399621073038906105423942896588188641003422092323057264969818026936125839<198>

75573017392933908708954310964403573986467777419881206351603<59>
3886861216326259176103665532740086371652640282755005080317353279164700510718056873710385318373827686634062439140662554978586836605269185013<139>

polynomial  X^6 - 350 ; m = 10^34
rlim = alim = 24800000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.5
skew = 4.7
qintsize = 100000

Initial matrix: 3106072 x 3482343

time: 93 j or so

p59 = 75573017392933908708954310964403573986467777419881206351603
p139 = 3886861216326259176103665532740086371652640282755005080317353279164700510718056873710385318373827686634062439140662554978586836605269185013

GGNFS-0.77.1

Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

6147728855263575986148017303487800604041302940975564265418070099706457715312032965571750416491435236989149931386068613048905444808693542734898271096272980239732093324035322083<175>

63631539474391210837548310251468153368458938899<47>
211874652819574347241947126206068252497934489454599<51>
455998349100891713474098874919077637805662298768683197879609540765807283712583<78>

polynomial = X^5 - 35 ; m = 10^41
rlim = alim = 15000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda 2.5
skew = 7.4
qintsize = 100000

Initial matrix: 1942193 x 2190252
Pruned  matrix: 1740862 x 1750636

time: 154 days 17 hours or so

p47 = 63631539474391210837548310251468153368458938899
p51 = 211874652819574347241947126206068252497934489454599
p78 = 455998349100891713474098874919077637805662298768683197879609540765807283712583

GGNFS-0.77.1

Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

1519960121711810177694533185901993204133570977335001049558360667155763138688397800418891641916889843682838244627029949739951<124>

1738451904378577847471622659992633<34>
874318189582087327897257987811447112701839409576619018615966668233346462007702133698801447<90>

prp90 = 874318189582087327897257987811447112701839409576619018615966668233346462007702133698801447
prp34 = 1738451904378577847471622659992633
NFS elapsed time = 22189.6586 seconds.

YAFU 1.34

74774140485295141180811347028789825101735711408697053437171370405542077008898519027112987264985176087562946752287599013595296702883032897027773196373643566811<158>

6561300053346042776381511509549131<34>

11396238531594487827797018230525686013823884151358546845288117673985214910619677885841381337368602872748479898419034081231281<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3328619583
Step 1 took 19474ms
Step 2 took 7929ms
********** Factor found in step 2: 6561300053346042776381511509549131
Found probable prime factor of 34 digits: 6561300053346042776381511509549131
Composite cofactor 11396238531594487827797018230525686013823884151358546845288117673985214910619677885841381337368602872748479898419034081231281 has 125 digits

11396238531594487827797018230525686013823884151358546845288117673985214910619677885841381337368602872748479898419034081231281<125>

4101635164121595296627540693962463211361336905053227227763963<61>
2778462265801035024581360489130049006629101410458290591097195587<64>

N = 11396238531594487827797018230525686013823884151358546845288117673985214910619677885841381337368602872748479898419034081231281 (125 digits)
Divisors found:
r1=4101635164121595296627540693962463211361336905053227227763963 (pp61)
r2=2778462265801035024581360489130049006629101410458290591097195587 (pp64)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 12.75 hours.
Factorization parameters were as follows:
n: 11396238531594487827797018230525686013823884151358546845288117673985214910619677885841381337368602872748479898419034081231281
Y0: -1049181921695067581683599
Y1: 19966915783381
c0: 1292215337020345139984104668656
c1: 201269092376026086920180892
c2: -936466501660644560696
c3: -5471387992267409
c4: 6170606368
c5: 8964
skew: 356992.97 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11092395
Relations: 1411714 relations
Pruned matrix : 837299 x 837538
Polynomial selection time: 0.00 hours.
Total sieving time: 12.13 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.51 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 12.75 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

103852826130600671920515367157205278699989431417148819422622008753661247004813095575511833850391456871279183663198555195328758038228214913391494273874514599030547368938239705709338714585219160021829656347<204>

2414588713992728980651670051508758469124841<43>
423746010934509455375283712257130713091137733061<48>
155136682134285264808823800400927613377652046570507433437<57>
654267022995783335304371521995617311160633958768673838131<57>

Polynomial: 20 X^6 - 7 ; m = 10^35
rlim = alim = 25000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.7
skew = 1.85
qIntSize = 100000

Initial matrix: 2540676 x 2540853
Pruned matrice: 2540384 x 2540609

time: 117 days or so

p43 = 2414588713992728980651670051508758469124841
p48 = 423746010934509455375283712257130713091137733061
p57 = 155136682134285264808823800400927613377652046570507433437
p57 = 654267022995783335304371521995617311160633958768673838131

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz and Intel Core I5 3.2 GHz for matrix step)

46753922831754616539945480506617250613959436152311453738746503115655743131066605054688686371982010557250133200779954937949558450705644593654095437648659416730911137<164>

5757182354334604525735035788035885183001<40>
37915267463364641825268475216950690067594944691746212501<56>
214187413373216827883351026724033380132095854996848849111459790977637<69>

ecm :
B1=3000000, sigma=1:2095095891

p40 = 5757182354334604525735035788035885183001

snfs :
Polynomial:
  Algebraic side : 1080 X^5 - 1752257822X^4 - 678696802527369X^3 + 101070685584243931239X^2 + 6088606691212576923910985X - 799130319241356975856275562161
  Rationnal side : 2481519509741 X - 1497052726377564796210786
skew = 267296.01
 
rlim = alim = 6000000
lpbr = lpba = 27
mfbr = mfba = 50
rlambda = alambda = 2.4
qintsize = 100000

Matrix: 620695 x 620872

time: 1 day 12 hours or so

p56 = 37915267463364641825268475216950690067594944691746212501
p69 = 214187413373216827883351026724033380132095854996848849111459790977637

ecm 7.0 for p40, GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix) for c124

Windows 10 (Intel Core I5 3.3 GHz)

26552898433214091039330691080248943435029452969784596058444284258965453002103586526047528561961914735226676412862389562985571212958896724283915313802455391863083475364242971077<176>

18171785299605821393439605421967430068001<41>
1461215725115906526682384678683926106497601869149469767258279144044226737102327975878397971547381186189800529662080973862934776147735077<136>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2342073198
Step 1 took 89294ms
Step 2 took 28733ms
********** Factor found in step 2: 18171785299605821393439605421967430068001
Found probable prime factor of 41 digits: 18171785299605821393439605421967430068001

11008095546404111395242389547963187185294798632391206964367943386975129263783336172380371914592208031629588261661208606052906910913211689763995794083274927867809870557327861107<176>

37600968623730420958331331576646257629<38>
292760956680694939678912826943630570763258580222697584733678065870914437265997816894613343109849832560311178858581455801382200477033335183<138>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2359832667
Step 1 took 99644ms
Step 2 took 32575ms
********** Factor found in step 2: 37600968623730420958331331576646257629
Found probable prime factor of 38 digits: 37600968623730420958331331576646257629

38944086549005096815313603989382940712203859044764223573252256484349281332719702347913372902240274130398793062358592187743924005372193433309797589608177095063541019720414621720603043690567<188>

54087598263118236581691449299990286772328406574183577098833<59>
720018780637199399173799029981859801441239227430688616622135743402381821037828846562510891445221036617981191112997514978316331799<129>

Polynomial: 200 X^6 - 7 ; m = 10^36
rlim = alim = 30000000
lpbr = lpba = 28
mfbr = mfba = 49
rlambda = alambda = 2.7
skew = 1
qIntSize = 100000

Matrix : 3870929 x 3871107

p59 = 54087598263118236581691449299990286772328406574183577098833
p129 = 720018780637199399173799029981859801441239227430688616622135743402381821037828846562510891445221036617981191112997514978316331799

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Windows 7 (AMD Athlon 2,7 GHz for relations and Intel Core I5 3.3 GHz for matrix step)

5084567472280949568463111830756855688593492043389058079557206094264755264075496314504084135937114586186151820572255195595117050255622878713449524315206062013364947113537<169>

1856305663509949248392190102725066522025437<43>
2739078790864066010111068926000107043910865336339459339204172179545280387091374206101642930932343284710038279499400473943461301<127>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 5084567472280949568463111830756855688593492043389058079557206094264755264075496314504084135937114586186151820572255195595117050255622878713449524315206062013364947113537 (169 digits)

...

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4174679908
Step 1 took 23750ms
Step 2 took 15141ms
********** Factor found in step 2: 1856305663509949248392190102725066522025437
Found probable prime factor of 43 digits: 1856305663509949248392190102725066522025437
Probable prime cofactor 2739078790864066010111068926000107043910865336339459339204172179545280387091374206101642930932343284710038279499400473943461301 has 127 digits

total time : 16 hours

Windows 10, Intel Core I5 3.2 GHz

1130003808001432854568070112314793235708952771294324637362708872762065687681516694663620318083900651727405048032392455440865760228360966416298432029252859021972736810890864714912703083<184>

842137203283503587081055794636579877769447083797168212430476488334331074126507769<81>
1341828627918982490677338292481883112787410911488130261108100270584017669313069000933490450589783122307<103>

Polynomial: X^6 - 350 ; m = 10^37 ; skew = 1.87
rlim = alim = 35000000
lpbr = lpba = 30
mfbr = mfba = 53
rlambda = alambda = 2.7
qintsize = 100000

Matrix: 4906085 x 4906262

time: 114 days or so

p81 = 842137203283503587081055794636579877769447083797168212430476488334331074126507769
p103 = 1341828627918982490677338292481883112787410911488130261108100270584017669313069000933490450589783122307

GGNFS-0.77.1 (relations) and MSieve 1.52 (matrix)

Intel Core I5 3.3 GHz, Windows 10

6451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903225806451612903<220>

149552178436306232224152122705168572111477<42>
43139544810933841400085700800317962954248357441228090012874503636849536797266678716668058912735869389394965179354205156943000806988479690298339434372064927541823893071020960568939<179>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3376252540
Step 1 took 156727ms
Step 2 took 46080ms
********** Factor found in step 2: 149552178436306232224152122705168572111477
Found probable prime factor of 42 digits: 149552178436306232224152122705168572111477

12549316906715821636756072580210505472577240875403079279401068576251013037036942901729224768264936242777811026283445237746604956039395896573993794012087673682810944243487557185739045668290797397369422937374721549<212>

39594920376109392639081376336557288986461<41>

316942597371347987013623758207572643289769574257667616439509102323658630689835969710141312456684712935328233263181605882888390037239658685970458014797231223499945046519409<171>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=408208681
Step 1 took 88551ms
Step 2 took 29526ms
********** Factor found in step 2: 39594920376109392639081376336557288986461
Found probable prime factor of 41 digits: 39594920376109392639081376336557288986461

439874427551264717187066247415074464110273859290574765066071004270803915825330184986902108771437176366137207956909800784202043179423235177736102751083983686054825079065431009419833<180>

475391804456505019314622730092665656230688026735797199519<57>
925288201074804413506085894281653474146038217633296618273773644241954474119486192508363390636857503624844889973260099232807<123>

Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 11819.9/580.379
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 50952152
Info:Lattice Sieving: , max bucket fill -bkmult 1.0,1l:1.259750,1s:1.500000,2s:1.100000
Info:Lattice Sieving: Total time: 1.26048e+07s
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Quadratic Characters: Total cpu/real time for characters: 184.71/38.1582
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 129.33/367.584
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 365.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1517.32/1116.43
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 972.5999999999999s
Info:Generate Free Relations: Total cpu/real time for freerel: 216.23/10.2769
Info:Square Root: Total cpu/real time for sqrt: 11819.9/580.379
Info:Filtering - Merging: Total cpu/real time for merge: 4302.33/149.142
Info:Filtering - Merging: Total cpu/real time for replay: 194.59/189.144
Info:Linear Algebra: Total cpu/real time for bwc: 2.02226e+06/86403.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1337078.6, WCT time 57037.22, iteration CPU time 0.23, COMM 0.02, cpu-wait 0.07, comm-wait 0.0 (180224 iterations)
Info:Linear Algebra: Lingen CPU time 733.04, WCT time 131.95
Info:Linear Algebra: Mksol: CPU time 677831.36,  WCT time 28826.22, iteration CPU time 0.23, COMM 0.02, cpu-wait 0.06, comm-wait 0.0 (90112 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 17.76/1.2972
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1703.1/1792.2
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.42039e+07/483903 [5d 14:25:03]
925288201074804413506085894281653474146038217633296618273773644241954474119486192508363390636857503624844889973260099232807 475391804456505019314622730092665656230688026735797199519

==> 19993_224.poly <===
n: 439874427551264717187066247415074464110273859290574765066071004270803915825330184986902108771437176366137207956909800784202043179423235177736102751083983686054825079065431009419833
poly0: 10000000000000000000000000000000000000, -1
poly1: -7,0,0,0,0,0,200
skew: 0.57
# Murphy_E = 1.621e-12

===> 19993_224.params <===
name = 19993_224

N = 439874427551264717187066247415074464110273859290574765066071004270803915825330184986902108771437176366137207956909800784202043179423235177736102751083983686054825079065431009419833

tasks.polyselect.import = 19993_224.poly
tasks.polyselect.admin = 0
tasks.polyselect.admax = 0
tasks.polyselect.adrange = 0

# 19993_224_38000000_29_60_2.2_27

tasks.lim0 = 38000000
tasks.lim1 = 38000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 60
tasks.sieve.mfb1 = 60
tasks.A = 27
tasks.qmin =  38000000
tasks.qmax = 103100000
tasks.sieve.qrange = 10000
tasks.sieve.sqside = 0
tasks.sieve.adjust_strategy = 2
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.sieve.bkmult = 1,1l:1.25975,1s:1.5,2s:1.1

tasks.filter.purge.keep = 160
tasks.filter.target_density = 170.0

tasks.linalg.bwc.interleaving = 0
tasks.linalg.m = 64
tasks.linalg.n = 64

tasks.linalg.characters.nchar = 50

CADO-NFS-3.0.0-dev (git 2551f43ca06cb31d86fe39847033ac8dedca1938)

AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 78GiB RAM

15025341987976092074331889679526814592759736302333408151412366719384855480049838260790950441290370270827956135124334600735761456215639450018157586374619884696397624522943091720998708664109716403355836423<203>

1503107112467134947826577124240117172786036702357859296805596698478992847915658651915972801190228665319097119838175706500302490090155141960261527414585721152532138729<166>

1367216568982002374817536769462479308444300117367127927764463629984832448478606075174670751230317465655473215695401875786381561248776088360168663339533127273597120724744931741832676283489753215778959<199>

766953018564440589849104620165757048813<39>

1782660131569880123548521174169338360463103937264171075200929548577984149341567864992100831489776322119009504998174494993754107003108035884420338888884930360043<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3089457064
Step 1 took 88645ms
Step 2 took 28893ms
********** Factor found in step 2: 766953018564440589849104620165757048813
Found probable prime factor of 39 digits: 766953018564440589849104620165757048813

166217942136703540185086794586515646073683508567637614915794882040103564126429766882009844377057660172693773695386694286256426920079365194621096134610078923418663986317028321932177848380243721<192>

174622654232844158634148481280901425163400675605043348786507785230737367830218305535351057200547471113154161629154883937952607366064693340574366698667609738895381088993214902223027753809845933148425748190727978349145486997<222>

3395694408131042783686308866741517231107479000673694923333901801457590228857525415523853341769600071936757236713851913064940453128588489675951777259687067317330395268818518806274388706556519704598548623324183<208>

112409683941563506835261916816980555053<39>

30208201723049983462228649377249356610498371143712193735971850948609504182677056545566763987350444264907943259211954379939210515891906305869312656588453318250742363136211<170>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1529915388
Step 1 took 36742ms
Step 2 took 12896ms
********** Factor found in step 2: 112409683941563506835261916816980555053
Found probable prime factor of 39 digits: 112409683941563506835261916816980555053

30208201723049983462228649377249356610498371143712193735971850948609504182677056545566763987350444264907943259211954379939210515891906305869312656588453318250742363136211<170>

71948649970563713951671463969080175268883<41>

419857797685002257783928210623897340863192807271584875984612153706884179663204015418694594858508973352672606764331550983422564417<129>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=247293913
Step 1 took 86724ms
Step 2 took 29719ms
********** Factor found in step 2: 71948649970563713951671463969080175268883
Found probable prime factor of 41 digits: 71948649970563713951671463969080175268883

419857797685002257783928210623897340863192807271584875984612153706884179663204015418694594858508973352672606764331550983422564417<129>

32512460188778410157382208268950768149810346517<47>
12913750458967576645103578312487453218593703561785926004306552900939104108444568701<83>

N=419857797685002257783928210623897340863192807271584875984612153706884179663204015418694594858508973352672606764331550983422564417
  ( 129 digits)
Divisors found:
 r1=32512460188778410157382208268950768149810346517 (pp47)
 r2=12913750458967576645103578312487453218593703561785926004306552900939104108444568701 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 140.91 hours.
Scaled time: 271.40 units (timescale=1.926).
Factorization parameters were as follows:
n: 419857797685002257783928210623897340863192807271584875984612153706884179663204015418694594858508973352672606764331550983422564417
skew: 215755.78
c0: -5431726722539180027436902123337
c1: 119005853190733449962995406
c2: 843784384399636883152
c3: -5331045984142666
c4: -19369016555
c5: 47400
Y0: -6158356657140880034234480
Y1: 10553943196999
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2950000, 10150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 847605 x 847830
Total sieving time: 139.85 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5900000,5900000,27,27,54,54,2.5,2.5,100000
total time: 140.91 hours.
 --------- CPU info (if available) ----------

191827956463797275252317493428847656708664008798015687514388697354444261604066476361414498993693909822110986364921073111353889748410747061203063812961585761242471293155447244368662398150582122393684069208477629<210>

17187891565951469133252812493061170275556013126121750017199999069921892069366775761004267949589924407875339668219471575462090687777471797906686501530471028656548686451048900427237731543<185>

1831055353741764620915482144839737<34>

9386877098405564040189771530904017900010556750027540348292570824583879213916348388268332638692046111782960681034119260861364454064572033427416734551439<151>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2448096458
Step 1 took 31852ms
Step 2 took 11426ms
********** Factor found in step 2: 1831055353741764620915482144839737
Found probable prime factor of 34 digits: 1831055353741764620915482144839737

9386877098405564040189771530904017900010556750027540348292570824583879213916348388268332638692046111782960681034119260861364454064572033427416734551439<151>

13538233658251317307833233245359784922520313861223<50>
693360547273789011308785731838513488620361168328779441497630249159898144325834820773191510741703459993<102>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1929105474
Step 1 took 81703ms
Step 2 took 28156ms
********** Factor found in step 2: 13538233658251317307833233245359784922520313861223
Found prime factor of 50 digits: 13538233658251317307833233245359784922520313861223
Prime cofactor 693360547273789011308785731838513488620361168328779441497630249159898144325834820773191510741703459993 has 102 digits
 

GMP-ECM

2136553557001183255417767762349614003493812620948564685900177419787038402878627137444504617460530966874633561440578541630358315057962784259862040191844514350297648059<166>

7432615126008670947907293345326463621812867207<46>
287456503636899163591794397674452412616798992290922505899189478263060723118346223176185302501694764571514772989985160237<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3094186989
Step 1 took 20722ms
Step 2 took 7051ms
********** Factor found in step 2: 7432615126008670947907293345326463621812867207
Found probable prime factor of 46 digits: 7432615126008670947907293345326463621812867207

207078625019448600459136479734583644197116563345494981639932060906557683601335571643276612769532475404242413069331939220554460903674145398829598802967666800269444483219187574026214940307008543051827122916473379<210>

44533242583647624498566001352870874185135676887301486987975767155580359298816810756578971199571178556073373138898177007099751377956945413596291971923048004407911168790615803463308884873940105379<194>

278789131554995933557653217501819<33>

159738087117153917002120949411071014990414793664154370795616289492855015933863966967403057152524452626476353742059180721956727576671309019162666387688465487093241<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2729158477
Step 1 took 36517ms
Step 2 took 12366ms
********** Factor found in step 2: 278789131554995933557653217501819
Found probable prime factor of 33 digits: 278789131554995933557653217501819

159738087117153917002120949411071014990414793664154370795616289492855015933863966967403057152524452626476353742059180721956727576671309019162666387688465487093241<162>

13130909142405448481407364018546381955852599290838943156705732200918693126974993<80>
12165043972567731167169898915843628426036660545587754470742558350300499748978354537<83>

Number: 19993_240
N = 159738087117153917002120949411071014990414793664154370795616289492855015933863966967403057152524452626476353742059180721956727576671309019162666387688465487093241 (162 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=13130909142405448481407364018546381955852599290838943156705732200918693126974993 (pp80)
r2=12165043972567731167169898915843628426036660545587754470742558350300499748978354537 (pp83)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 71.17 hours.
Factorization parameters were as follows:
n: 159738087117153917002120949411071014990414793664154370795616289492855015933863966967403057152524452626476353742059180721956727576671309019162666387688465487093241 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 60443874
Relations: 13645982 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.50 hours.
Total relation processing time: 0.57 hours.
Pruned matrix : 10890244 x 10890469
Matrix solve time: 54.87 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 71.17 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22631-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

116274327882580195137139394634830135912594505610267629939369236255328386908901083537955512181099971527078996213405701887644675751609586061325706266668389774391814451652321256356849284689093877<192>

15987469620768051168327285269839171045654315055940347103091867558384017915557328836853044043096543886880160203407753312636326641968089801061393952998140603982923991278785817590900572869206077679346839576593471<209>

318928400574071121033328017859990432147982777866369000159464200287035560516664008929995216073991388933184500079732100143517780258332004464997608036995694466592250039866050071758890129166002232498804018497847233296125019933025035879445064583<240>

836962215115286501220124866575077<33>

381054717661466540470665117179177076939427346863472560409729336906486586017017770890771429454804719800538948009406904437675751770209598156879415202394899896440584096990410853476308643466285929581835215235579<207>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=234597203
Step 1 took 36031ms
Step 2 took 15984ms
********** Factor found in step 2: 836962215115286501220124866575077
Found probable prime factor of 33 digits: 836962215115286501220124866575077

381054717661466540470665117179177076939427346863472560409729336906486586017017770890771429454804719800538948009406904437675751770209598156879415202394899896440584096990410853476308643466285929581835215235579<207>

83241064927272547299527767204925533014547573543<47>
4577725164789672391489314479930830177483202913095405425159690159714951022926874845117690907558402773225156443329146202726252218940000083950663618064054744784653<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=411556554
Step 1 took 110508ms
Step 2 took 31871ms
********** Factor found in step 2: 83241064927272547299527767204925533014547573543
Found probable prime factor of 47 digits: 83241064927272547299527767204925533014547573543

176991150442477876106194690265486725663716814159292035398230088495575221238938053097345132743362831858407079646017699115044247787610619469026548672566371681415929203539823008849557522123893805309734513274336283185840707964601769911504424778761<243>

29707223381420447559268982487380962618578196465717999551586776517525287785808991448596452676726977120746156278253273878582408447694193144726313869710896529176025309593365740426681626711409928663691599260552252636516291404516077667<230>

64393880534595932825570966838121<32>

461336125960914778781130119902749993747760862189247066624298112069126561930601735261833363649088753447388839749021123565178322386894171413637368002847517508099538625209337479504015185591424612200427<198>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2855951021
Step 1 took 42986ms
Step 2 took 14653ms
********** Factor found in step 2: 64393880534595932825570966838121
Found probable prime factor of 32 digits: 64393880534595932825570966838121

461336125960914778781130119902749993747760862189247066624298112069126561930601735261833363649088753447388839749021123565178322386894171413637368002847517508099538625209337479504015185591424612200427<198>

139651291555152492205584612365146717339<39>
3303486282321415390162307015710761710505204168261682750705790206424254781270202594111184853500485483890070441062139214289829449262050822356857721087020471486193<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2382283764
Step 1 took 97871ms
Step 2 took 37033ms
********** Factor found in step 2: 139651291555152492205584612365146717339
Found probable prime factor of 39 digits: 139651291555152492205584612365146717339

11798765300750649350062722282882404096141038331088432268912265097697175293065810676079592571635128087169118833073191557074680159378426644578735570629879515667194589042022690663342132004388589675948554808027342615842323152629084029<230>

5753243390961654632799240571872393061588470500244512844115870321893967724304576705117509996260391795874924488680493628282944509967494174841066651324684290768920979202025141673618502430745332681299082357679141616086068521128786353306676638955211<244>

132074837303280029562639113524416528123457994675658132061109271614414463353550536998374117395597376859670855785959892824094832384026677918793943310764276045146783337333460959830379827105560586915109897<201>

38438549030664578219960016679926806732903<41>

3435999553414894836254104840818626512206720855943377793597332068809687612633643613785039607467428534161275119838203338962325583083389179812002384789898299267599<160>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4138019169
Step 1 took 100787ms
Step 2 took 31187ms
********** Factor found in step 2: 38438549030664578219960016679926806732903
Found probable prime factor of 41 digits: 38438549030664578219960016679926806732903

3435999553414894836254104840818626512206720855943377793597332068809687612633643613785039607467428534161275119838203338962325583083389179812002384789898299267599<160>

20130791787936663348000804888507223514918678222653<50>
170683775859919761600569051501705669193587655888432015346242235374764903731855975201446117111155540212181805883<111>

GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 3435999553414894836254104840818626512206720855943377793597332068809687612633643613785039607467428534161275119838203338962325583083389179812002384789898299267599 (160 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:495945495
Step 1 took 148497ms
Step 2 took 67985ms
********** Factor found in step 2: 20130791787936663348000804888507223514918678222653
Found probable prime factor of 50 digits: 20130791787936663348000804888507223514918678222653
Probable prime cofactor 170683775859919761600569051501705669193587655888432015346242235374764903731855975201446117111155540212181805883 has 111 digits

GMP-ECM

10733504372801434847424902007412252105893977027570950805679435539749343860241535080012732615154811394857850170845833727755068212197305319431496431208210680409919700962424974748123461696103741852423246151<203>

2492560548003394817615169663673695508778530299809046182697733924719910659650790023920231182996778876466617952894170004319482801662483049186208268663330631937754083054086582306038004843369177641836571952564628574267953972825581467951908985447721141<247>

10598996401122731583903010896565227164919698902790656550531263401893416736398467996547767675892912591749003336510641263725191781064878584899064594954112513751950142673714262375491<179>

11156026513412611776413147823487117299482973951235892507222132664120489548755461572229972561752790261681335911862928133435001921625566935322378487164712595655954835942263100382484369012351394754324773128255816612773761918122574610110818389370984179081<251>

2248024548428068834511672867467712747423201861364326098440994975665134263266154866411141209662009509143839850731169984376229388424921600143873571099396405408747063517933615835084919127316870300223678442568592849033911450313037418368608585205750446794879<253>

313721989626282121566270142711543791999371410898373243342293072975752522478955675054195834027343253289912232097595420062507119980939963308447069864974195528374609797335847377251756128928989876382584778854965188816928117492897686406402247591293<243>

1287453274324760978396956070622162032060960957003621954912146982250246982970458690055951946037621193449186533290528237433128659750935566879879772121634710465800469466989800088724929278513198992533<196>

132303002031813549742603422535524329176793<42>
9731096457019019547353200377984200496674950056493037566862509528082534551926374584296600361896206931208696169743817974803041620257444031805298384668401181<154>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3970730514
Step 1 took 90703ms
Step 2 took 25691ms
********** Factor found in step 2: 132303002031813549742603422535524329176793
Found probable prime factor of 42 digits: 132303002031813549742603422535524329176793

6076426090389141341366489256491843444534949384105468687100300754470200245804702284591672807447907662473564662138816205367047317005749809951163025337756816562216080899278924979747228522104548044255142897765013869173<214>

614434600008809680084763642186940677509412571583734662404543028240463308870648706838804945056954617892292936709997037940279572980351023038883238964261555101512467552664485612363101414864104636728871578805492031598433787157180705385874056587<240>

1911066133485909876696562266397347204947264311162811704269299516354756649183225912540499082521626942095830494338996919748151786812134950674731277108735425470752744201615200545284749264859219617353926873164076111<211>

21136392634017967706907737421459752758953605123533223817911698406345993582243649881519203096670072200884385921296014451231623427789346709045822595774950727991808892736874150339341258785188785368048303179169964469546310521111<224>

513297538080787259629397201886737112042773975800250418046607622750060374222661111526863164713940738596640643231476030984551490186004298988351559167414368939797698181239337492902204322081954925661408611747234643140659153890801654374736673993001153520608277<255>

1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<271>

140518128155696298850428697100996504680597011978674134555547025786443312170142698370052486451804814540719188819343432877366237<126>
14233039012475091501104167946928328968420691228944042610288424817066636667142852995751422629784733683334091159482048277660774839317780468967747789<146>

Sieving by NFS@home, postprocessing by Dmitry Domanov
==============================================

Wed Mar  6 02:08:41 2024  Msieve v. 1.54 (SVN Unversioned directory)
Wed Mar  6 02:08:41 2024  random seeds: c9181813 1786c9e3
Wed Mar  6 02:08:41 2024  Using 16 OpenMP threads
Wed Mar  6 02:08:41 2024  factoring 1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993 (271 digits)
Wed Mar  6 02:08:42 2024  searching for 15-digit factors
Wed Mar  6 02:08:43 2024  commencing number field sieve (271-digit input)
Wed Mar  6 02:08:43 2024  R0: -1000000000000000000000000000000000000000000000
Wed Mar  6 02:08:43 2024  R1: 1
Wed Mar  6 02:08:43 2024  A0: -7
Wed Mar  6 02:08:43 2024  A1: 0
Wed Mar  6 02:08:43 2024  A2: 0
Wed Mar  6 02:08:43 2024  A3: 0
Wed Mar  6 02:08:43 2024  A4: 0
Wed Mar  6 02:08:43 2024  A5: 0
Wed Mar  6 02:08:43 2024  A6: 2
Wed Mar  6 02:08:43 2024  skew 1.00, size 2.617e-13, alpha 1.750, combined = 4.142e-14 rroots = 2
Wed Mar  6 02:08:43 2024  
Wed Mar  6 02:08:43 2024  commencing relation filtering
Wed Mar  6 02:08:43 2024  setting target matrix density to 120.0
Wed Mar  6 02:08:43 2024  estimated available RAM is 515996.3 MB
Wed Mar  6 02:08:43 2024  commencing duplicate removal, pass 1
Wed Mar  6 02:26:24 2024  skipped 1228 relations with b > 2^32
Wed Mar  6 02:26:24 2024  skipped 2 relations with composite factors
Wed Mar  6 02:26:24 2024  skipped 859 malformed relations
Wed Mar  6 02:26:24 2024  found 106698838 hash collisions in 454310600 relations
Wed Mar  6 02:26:50 2024  commencing duplicate removal, pass 2
Wed Mar  6 02:43:36 2024  found 118913445 duplicates and 335397155 unique relations
Wed Mar  6 02:43:36 2024  memory use: 2899.0 MB
Wed Mar  6 02:43:37 2024  reading ideals above 720000
Wed Mar  6 02:43:37 2024  commencing singleton removal, initial pass
Wed Mar  6 03:30:46 2024  memory use: 11024.0 MB
Wed Mar  6 03:30:47 2024  reading all ideals from disk
Wed Mar  6 03:30:53 2024  memory use: 16712.3 MB
Wed Mar  6 03:31:35 2024  keeping 331717503 ideals with weight <= 200, target excess is 1744645
Wed Mar  6 03:32:21 2024  commencing in-memory singleton removal
Wed Mar  6 03:32:30 2024  begin with 335397155 relations and 331717503 unique ideals
Wed Mar  6 03:33:06 2024  reduce to 190553380 relations and 169497547 ideals in 19 passes
Wed Mar  6 03:33:06 2024  max relations containing the same ideal: 148
Wed Mar  6 03:34:58 2024  removing 15760812 relations and 13760812 ideals in 2000000 cliques
Wed Mar  6 03:35:11 2024  commencing in-memory singleton removal
Wed Mar  6 03:35:18 2024  begin with 174792568 relations and 169497547 unique ideals
Wed Mar  6 03:35:47 2024  reduce to 173684152 relations and 154611781 ideals in 10 passes
Wed Mar  6 03:35:47 2024  max relations containing the same ideal: 136
Wed Mar  6 03:37:18 2024  removing 11827386 relations and 9827386 ideals in 2000000 cliques
Wed Mar  6 03:37:26 2024  commencing in-memory singleton removal
Wed Mar  6 03:37:33 2024  begin with 161856766 relations and 154611781 unique ideals
Wed Mar  6 03:37:55 2024  reduce to 161151073 relations and 144069869 ideals in 8 passes
Wed Mar  6 03:37:55 2024  max relations containing the same ideal: 129
Wed Mar  6 03:39:23 2024  removing 10610556 relations and 8610556 ideals in 2000000 cliques
Wed Mar  6 03:39:31 2024  commencing in-memory singleton removal
Wed Mar  6 03:39:37 2024  begin with 150540517 relations and 144069869 unique ideals
Wed Mar  6 03:40:03 2024  reduce to 149927113 relations and 134838233 ideals in 9 passes
Wed Mar  6 03:40:03 2024  max relations containing the same ideal: 123
Wed Mar  6 03:41:29 2024  removing 9986178 relations and 7986178 ideals in 2000000 cliques
Wed Mar  6 03:41:37 2024  commencing in-memory singleton removal
Wed Mar  6 03:41:42 2024  begin with 139940935 relations and 134838233 unique ideals
Wed Mar  6 03:42:03 2024  reduce to 139360156 relations and 126263887 ideals in 9 passes
Wed Mar  6 03:42:03 2024  max relations containing the same ideal: 118
Wed Mar  6 03:43:23 2024  removing 9604855 relations and 7604855 ideals in 2000000 cliques
Wed Mar  6 03:43:29 2024  commencing in-memory singleton removal
Wed Mar  6 03:43:34 2024  begin with 129755301 relations and 126263887 unique ideals
Wed Mar  6 03:43:54 2024  reduce to 129180991 relations and 118077090 ideals in 9 passes
Wed Mar  6 03:43:54 2024  max relations containing the same ideal: 112
Wed Mar  6 03:45:06 2024  removing 9363513 relations and 7363513 ideals in 2000000 cliques
Wed Mar  6 03:45:13 2024  commencing in-memory singleton removal
Wed Mar  6 03:45:18 2024  begin with 119817478 relations and 118077090 unique ideals
Wed Mar  6 03:45:35 2024  reduce to 119229823 relations and 110117751 ideals in 9 passes
Wed Mar  6 03:45:35 2024  max relations containing the same ideal: 108
Wed Mar  6 03:46:39 2024  removing 9209982 relations and 7209982 ideals in 2000000 cliques
Wed Mar  6 03:46:45 2024  commencing in-memory singleton removal
Wed Mar  6 03:46:50 2024  begin with 110019841 relations and 110117751 unique ideals
Wed Mar  6 03:47:06 2024  reduce to 109407744 relations and 102286366 ideals in 10 passes
Wed Mar  6 03:47:06 2024  max relations containing the same ideal: 104
Wed Mar  6 03:48:06 2024  removing 9133025 relations and 7133025 ideals in 2000000 cliques
Wed Mar  6 03:48:12 2024  commencing in-memory singleton removal
Wed Mar  6 03:48:16 2024  begin with 100274719 relations and 102286366 unique ideals
Wed Mar  6 03:48:29 2024  reduce to 99616701 relations and 94484898 ideals in 9 passes
Wed Mar  6 03:48:29 2024  max relations containing the same ideal: 94
Wed Mar  6 03:49:21 2024  removing 9106880 relations and 7106880 ideals in 2000000 cliques
Wed Mar  6 03:49:26 2024  commencing in-memory singleton removal
Wed Mar  6 03:49:30 2024  begin with 90509821 relations and 94484898 unique ideals
Wed Mar  6 03:49:46 2024  reduce to 89791214 relations and 86646871 ideals in 11 passes
Wed Mar  6 03:49:46 2024  max relations containing the same ideal: 88
Wed Mar  6 03:50:38 2024  removing 5770165 relations and 4649611 ideals in 1120554 cliques
Wed Mar  6 03:50:42 2024  commencing in-memory singleton removal
Wed Mar  6 03:50:46 2024  begin with 84021049 relations and 86646871 unique ideals
Wed Mar  6 03:50:56 2024  reduce to 83722072 relations and 81695018 ideals in 8 passes
Wed Mar  6 03:50:56 2024  max relations containing the same ideal: 84
Wed Mar  6 03:52:06 2024  relations with 0 large ideals: 66345
Wed Mar  6 03:52:06 2024  relations with 1 large ideals: 35018
Wed Mar  6 03:52:06 2024  relations with 2 large ideals: 434286
Wed Mar  6 03:52:06 2024  relations with 3 large ideals: 2660968
Wed Mar  6 03:52:06 2024  relations with 4 large ideals: 8902104
Wed Mar  6 03:52:06 2024  relations with 5 large ideals: 17848535
Wed Mar  6 03:52:06 2024  relations with 6 large ideals: 22446688
Wed Mar  6 03:52:06 2024  relations with 7+ large ideals: 31328128
Wed Mar  6 03:52:06 2024  commencing 2-way merge
Wed Mar  6 03:53:21 2024  reduce to 51806679 relation sets and 49779625 unique ideals
Wed Mar  6 03:53:21 2024  commencing full merge
Wed Mar  6 04:15:07 2024  memory use: 6333.2 MB
Wed Mar  6 04:15:12 2024  found 23028697 cycles, need 22955825
Wed Mar  6 04:15:20 2024  weight of 22955825 cycles is about 2754888559 (120.01/cycle)
Wed Mar  6 04:15:21 2024  distribution of cycle lengths:
Wed Mar  6 04:15:21 2024  1 relations: 1783610
Wed Mar  6 04:15:21 2024  2 relations: 1749372
Wed Mar  6 04:15:21 2024  3 relations: 1755168
Wed Mar  6 04:15:21 2024  4 relations: 1683669
Wed Mar  6 04:15:21 2024  5 relations: 1621752
Wed Mar  6 04:15:21 2024  6 relations: 1547391
Wed Mar  6 04:15:21 2024  7 relations: 1460603
Wed Mar  6 04:15:21 2024  8 relations: 1379639
Wed Mar  6 04:15:21 2024  9 relations: 1290438
Wed Mar  6 04:15:21 2024  10+ relations: 8684183
Wed Mar  6 04:15:21 2024  heaviest cycle: 28 relations
Wed Mar  6 04:15:26 2024  commencing cycle optimization
Wed Mar  6 04:16:13 2024  start with 195575441 relations
Wed Mar  6 04:23:52 2024  pruned 7487793 relations
Wed Mar  6 04:23:52 2024  memory use: 5420.8 MB
Wed Mar  6 04:23:52 2024  distribution of cycle lengths:
Wed Mar  6 04:23:52 2024  1 relations: 1783610
Wed Mar  6 04:23:52 2024  2 relations: 1789321
Wed Mar  6 04:23:52 2024  3 relations: 1822433
Wed Mar  6 04:23:52 2024  4 relations: 1741669
Wed Mar  6 04:23:52 2024  5 relations: 1688398
Wed Mar  6 04:23:52 2024  6 relations: 1603375
Wed Mar  6 04:23:52 2024  7 relations: 1516522
Wed Mar  6 04:23:52 2024  8 relations: 1425932
Wed Mar  6 04:23:52 2024  9 relations: 1330561
Wed Mar  6 04:23:52 2024  10+ relations: 8254004
Wed Mar  6 04:23:52 2024  heaviest cycle: 28 relations
Wed Mar  6 04:24:31 2024  RelProcTime: 8148
Wed Mar  6 04:24:31 2024  elapsed time 02:15:50
Wed Mar  6 08:03:10 2024  
Wed Mar  6 08:03:10 2024  
Wed Mar  6 08:03:10 2024  Msieve v. 1.54 (SVN Unversioned directory)
Wed Mar  6 08:03:10 2024  random seeds: 7d0cc623 21cacae1
Wed Mar  6 08:03:10 2024  Using 64 OpenMP threads
Wed Mar  6 08:03:10 2024  factoring 1999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993 (271 digits)
Wed Mar  6 08:03:12 2024  searching for 15-digit factors
Wed Mar  6 08:03:13 2024  commencing number field sieve (271-digit input)
Wed Mar  6 08:03:13 2024  R0: -1000000000000000000000000000000000000000000000
Wed Mar  6 08:03:13 2024  R1: 1
Wed Mar  6 08:03:13 2024  A0: -7
Wed Mar  6 08:03:13 2024  A1: 0
Wed Mar  6 08:03:13 2024  A2: 0
Wed Mar  6 08:03:13 2024  A3: 0
Wed Mar  6 08:03:13 2024  A4: 0
Wed Mar  6 08:03:13 2024  A5: 0
Wed Mar  6 08:03:13 2024  A6: 2
Wed Mar  6 08:03:13 2024  skew 1.00, size 2.617e-13, alpha 1.750, combined = 4.142e-14 rroots = 2
Wed Mar  6 08:03:13 2024  
Wed Mar  6 08:03:13 2024  commencing linear algebra
Wed Mar  6 08:03:13 2024  using VBITS=256
Wed Mar  6 08:03:19 2024  read 22955825 cycles
Wed Mar  6 08:04:38 2024  cycles contain 82298526 unique relations
Wed Mar  6 08:11:53 2024  read 82298526 relations
Wed Mar  6 08:12:02 2024  using 20 quadratic characters above 4294917295
Wed Mar  6 08:12:13 2024  building initial matrix
Wed Mar  6 08:26:42 2024  memory use: 10808.3 MB
Wed Mar  6 08:26:52 2024  read 22955825 cycles
Wed Mar  6 08:26:54 2024  matrix is 22955647 x 22955825 (10739.0 MB) with weight 3069692178 (133.72/col)
Wed Mar  6 08:26:54 2024  sparse part has weight 2585602616 (112.63/col)
Wed Mar  6 08:32:25 2024  filtering completed in 2 passes
Wed Mar  6 08:32:29 2024  matrix is 22954170 x 22954338 (10738.9 MB) with weight 3069641551 (133.73/col)
Wed Mar  6 08:32:29 2024  sparse part has weight 2585584928 (112.64/col)
Wed Mar  6 08:33:42 2024  matrix starts at (0, 0)
Wed Mar  6 08:33:45 2024  matrix is 22954170 x 22954338 (10738.9 MB) with weight 3069641551 (133.73/col)
Wed Mar  6 08:33:45 2024  sparse part has weight 2585584928 (112.64/col)
Wed Mar  6 08:33:45 2024  saving the first 240 matrix rows for later
Wed Mar  6 08:33:49 2024  matrix includes 256 packed rows
Wed Mar  6 08:33:56 2024  matrix is 22953930 x 22954338 (9918.3 MB) with weight 2345853595 (102.20/col)
Wed Mar  6 08:33:56 2024  sparse part has weight 2232746367 (97.27/col)
Wed Mar  6 08:33:56 2024  using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
Wed Mar  6 08:34:43 2024  commencing Lanczos iteration (64 threads)
Wed Mar  6 08:34:43 2024  memory use: 13737.0 MB
Wed Mar  6 08:38:59 2024  linear algebra at 0.1%, ETA 52h23m
Wed Mar  6 08:44:56 2024  checking every 10000 dimensions, checkpointing every 460000 dimensions
Fri Mar  8 09:29:15 2024  lanczos halted after 89932 iterations (dim = 22953928)
Fri Mar  8 09:30:56 2024  recovered 35 nontrivial dependencies
Fri Mar  8 09:30:59 2024  BLanczosTime: 178066
Fri Mar  8 09:30:59 2024  
Fri Mar  8 09:30:59 2024  commencing square root phase
Fri Mar  8 09:30:59 2024  reading relations for dependency 1
Fri Mar  8 09:31:01 2024  read 11474238 cycles
Fri Mar  8 09:31:22 2024  cycles contain 41150722 unique relations
Fri Mar  8 09:37:32 2024  read 41150722 relations
Fri Mar  8 09:40:08 2024  multiplying 41150722 relations
Fri Mar  8 09:54:10 2024  multiply complete, coefficients have about 1123.83 million bits
Fri Mar  8 09:54:12 2024  initial square root is modulo 110023
Fri Mar  8 10:01:22 2024  sqrtTime: 1823
Fri Mar  8 10:01:22 2024  p126 factor: 140518128155696298850428697100996504680597011978674134555547025786443312170142698370052486451804814540719188819343432877366237
Fri Mar  8 10:01:22 2024  p146 factor: 14233039012475091501104167946928328968420691228944042610288424817066636667142852995751422629784733683334091159482048277660774839317780468967747789
Fri Mar  8 10:01:22 2024  elapsed time 49:58:12

3185306309406958078661457841435770448352567540040494799111490658054023113538172949709906191136534810381104380735840795842410792709662037407918767044374979992294744037544568407717933481566871285435139120642043080949304098167318088351159634651736923640722293688108503<265>

25178702431651521852772945793597364887488374627562474955464994560411831117305748417836415459535640548955170184284808524224346138283133712679652716821759251906938264396934455216657798670746464718989776959877962240401303779278567619828733<236>

960153624579932789246279404704752760441670667306769083053288526164186269803168506961113778204512722035525684109457513202112337974075852136341814690350456072971675468074891982717234757561209793566970715314450312049927988478156505040806529044647143542966874699951992318771<270>

197848684714717948844363836573168525828338692793820031287192195759188433805318458830615625406081063473587986239894842829495356946666788798084357649068268696779103603651462842106770924281454697966383994774780059350964867266672699111600901124059621228940625497<258>

199999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993<276>

9269880408926913125964092878416060959<37>

21575251370815917467704178599973611480779656465192903413803199230671540013260588141505529875133783426196934216377116445538964468583583806134757517673699098955987864217282502622553700258150163110753697933280017723755828140141514925955549927<239>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2312620866
Step 1 took 110838ms
Step 2 took 34395ms
********** Factor found in step 2: 9269880408926913125964092878416060959
Found probable prime factor of 37 digits: 9269880408926913125964092878416060959

248221070099043322119402164693526825270872316771903230051826366434264774208852636596750964076287324648778315389651145337544306512980178657209352382256734388337545123532340553417139717508820969<192>