41408176378336565319566253850826344214275710089439512380007961638247320706460090919410156581197<95>

15853792454098265153552008138381<32>
2611878293362696035834569502178477397915530892823191844676083137<64>

Number: n
N=41408176378336565319566253850826344214275710089439512380007961638247320706460090919410156581197
  ( 95 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=15853792454098265153552008138381 (pp32)
 r2=2611878293362696035834569502178477397915530892823191844676083137 (pp64)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.60 hours.
Scaled time: 1.09 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_1_8_103_3
n: 41408176378336565319566253850826344214275710089439512380007961638247320706460090919410156581197
skew: 1.99
deg: 5
c5: 17
c0: -530
m: 1000000000000000000000
type: snfs
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 160001)
Primes: RFBsize:49098, AFBsize:49241, largePrimes:3709422 encountered
Relations: rels:3117179, finalFF:145044
Max relations in full relation-set: 48
Initial matrix: 98404 x 145044 with sparse part having weight 9101580.
Pruned matrix : 76838 x 77394 with weight 2816172.
Total sieving time: 0.53 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,106,5,0,0,0,0,0,0,0,0,600000,600000,28,28,48,48,2.5,2.5,50000
total time: 0.60 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<107>

8630106820148450673420782464300565409835605393871<49>
2188720172592715591130753702142474055753413658268136225373<58>

Number: n
N=18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
  ( 107 digits)
SNFS difficulty: 107 digits.
Divisors found:
 r1=8630106820148450673420782464300565409835605393871 (pp49)
 r2=2188720172592715591130753702142474055753413658268136225373 (pp58)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.68 hours.
Scaled time: 1.24 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_1_8_105_3
n: 18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
skew: 0.79
deg: 5
c5: 170
c0: -53
m: 1000000000000000000000
type: snfs
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 160001)
Primes: RFBsize:49098, AFBsize:49096, largePrimes:3980929 encountered
Relations: rels:3421632, finalFF:187238
Max relations in full relation-set: 48
Initial matrix: 98261 x 187238 with sparse part having weight 13120897.
Pruned matrix : 67652 x 68207 with weight 2699659.
Total sieving time: 0.61 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.01 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: 0.68 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

319130963455965377482501772162273692026572248526301173912434143259339755923298013391<84>

93231858661753747555233330990664897834019<41>
3422981886629292384067736826750714955820389<43>

Sat May 03 01:00:14 2008  
Sat May 03 01:00:14 2008  
Sat May 03 01:00:14 2008  Msieve v. 1.34
Sat May 03 01:00:14 2008  random seeds: 58766b18 0f915d74
Sat May 03 01:00:14 2008  factoring 319130963455965377482501772162273692026572248526301173912434143259339755923298013391 (84 digits)
Sat May 03 01:00:14 2008  searching for 15-digit factors
Sat May 03 01:00:15 2008  commencing quadratic sieve (84-digit input)
Sat May 03 01:00:15 2008  using multiplier of 3
Sat May 03 01:00:15 2008  using 64kb Opteron sieve core
Sat May 03 01:00:15 2008  sieve interval: 6 blocks of size 65536
Sat May 03 01:00:15 2008  processing polynomials in batches of 17
Sat May 03 01:00:15 2008  using a sieve bound of 1398737 (53529 primes)
Sat May 03 01:00:15 2008  using large prime bound of 120291382 (26 bits)
Sat May 03 01:00:15 2008  using trial factoring cutoff of 27 bits
Sat May 03 01:00:15 2008  polynomial 'A' values have 11 factors
Sat May 03 01:20:55 2008  53671 relations (27000 full + 26671 combined from 282540 partial), need 53625
Sat May 03 01:20:55 2008  begin with 309539 relations
Sat May 03 01:20:55 2008  reduce to 76978 relations in 2 passes
Sat May 03 01:20:55 2008  attempting to read 76978 relations
Sat May 03 01:20:56 2008  recovered 76978 relations
Sat May 03 01:20:56 2008  recovered 71187 polynomials
Sat May 03 01:20:56 2008  attempting to build 53671 cycles
Sat May 03 01:20:56 2008  found 53671 cycles in 1 passes
Sat May 03 01:20:56 2008  distribution of cycle lengths:
Sat May 03 01:20:56 2008     length 1 : 27000
Sat May 03 01:20:56 2008     length 2 : 26671
Sat May 03 01:20:56 2008  largest cycle: 2 relations
Sat May 03 01:20:56 2008  matrix is 53529 x 53671 (7.4 MB) with weight 1729380 (32.22/col)
Sat May 03 01:20:56 2008  sparse part has weight 1729380 (32.22/col)
Sat May 03 01:20:56 2008  filtering completed in 4 passes
Sat May 03 01:20:56 2008  matrix is 46544 x 46608 (6.3 MB) with weight 1475595 (31.66/col)
Sat May 03 01:20:56 2008  sparse part has weight 1475595 (31.66/col)
Sat May 03 01:20:57 2008  saving the first 48 matrix rows for later
Sat May 03 01:20:57 2008  matrix is 46496 x 46608 (4.1 MB) with weight 1106357 (23.74/col)
Sat May 03 01:20:57 2008  sparse part has weight 783710 (16.81/col)
Sat May 03 01:20:57 2008  matrix includes 64 packed rows
Sat May 03 01:20:57 2008  commencing Lanczos iteration
Sat May 03 01:20:57 2008  memory use: 5.8 MB
Sat May 03 01:21:31 2008  lanczos halted after 736 iterations (dim = 46489)
Sat May 03 01:21:31 2008  recovered 14 nontrivial dependencies
Sat May 03 01:21:31 2008  prp41 factor: 93231858661753747555233330990664897834019
Sat May 03 01:21:31 2008  prp43 factor: 3422981886629292384067736826750714955820389
Sat May 03 01:21:31 2008  elapsed time 00:21:17

327047113118303586290974817149111522786499532420335382905249154650071096486259467066566385106321<96>

133163092855224104302363788449929<33>
2455989164158808006628046290075502317087684176170758096093506249<64>

Sat May  3 07:03:12 2008  Msieve v. 1.35
Sat May  3 07:03:12 2008  random seeds: 6f29155d 3913c6e4
Sat May  3 07:03:12 2008  factoring 327047113118303586290974817149111522786499532420335382905249154650071096486259467066566385106321 (96 digits)
Sat May  3 07:03:13 2008  searching for 15-digit factors
Sat May  3 07:03:15 2008  commencing quadratic sieve (96-digit input)
Sat May  3 07:03:16 2008  using multiplier of 1
Sat May  3 07:03:16 2008  using 64kb Pentium 4 sieve core
Sat May  3 07:03:16 2008  sieve interval: 18 blocks of size 65536
Sat May  3 07:03:16 2008  processing polynomials in batches of 6
Sat May  3 07:03:16 2008  using a sieve bound of 2253037 (83529 primes)
Sat May  3 07:03:16 2008  using large prime bound of 337955550 (28 bits)
Sat May  3 07:03:16 2008  using double large prime bound of 2248781238410700 (43-51 bits)
Sat May  3 07:03:16 2008  using trial factoring cutoff of 51 bits
Sat May  3 07:03:16 2008  polynomial 'A' values have 12 factors
Sat May  3 14:08:38 2008  83700 relations (20716 full + 62984 combined from 1232784 partial), need 83625
Sat May  3 14:08:43 2008  begin with 1253500 relations
Sat May  3 14:08:44 2008  reduce to 217266 relations in 13 passes
Sat May  3 14:08:44 2008  attempting to read 217266 relations
Sat May  3 14:08:51 2008  recovered 217266 relations
Sat May  3 14:08:51 2008  recovered 202315 polynomials
Sat May  3 14:08:52 2008  attempting to build 83700 cycles
Sat May  3 14:08:52 2008  found 83700 cycles in 5 passes
Sat May  3 14:08:52 2008  distribution of cycle lengths:
Sat May  3 14:08:52 2008     length 1 : 20716
Sat May  3 14:08:52 2008     length 2 : 14681
Sat May  3 14:08:52 2008     length 3 : 14201
Sat May  3 14:08:52 2008     length 4 : 11285
Sat May  3 14:08:52 2008     length 5 : 8445
Sat May  3 14:08:52 2008     length 6 : 5713
Sat May  3 14:08:52 2008     length 7 : 3597
Sat May  3 14:08:52 2008     length 9+: 5062
Sat May  3 14:08:52 2008  largest cycle: 20 relations
Sat May  3 14:08:52 2008  matrix is 83529 x 83700 (22.5 MB) with weight 5575853 (66.62/col)
Sat May  3 14:08:52 2008  sparse part has weight 5575853 (66.62/col)
Sat May  3 14:08:54 2008  filtering completed in 3 passes
Sat May  3 14:08:54 2008  matrix is 79665 x 79729 (21.6 MB) with weight 5347576 (67.07/col)
Sat May  3 14:08:54 2008  sparse part has weight 5347576 (67.07/col)
Sat May  3 14:08:55 2008  saving the first 48 matrix rows for later
Sat May  3 14:08:55 2008  matrix is 79617 x 79729 (14.8 MB) with weight 4376564 (54.89/col)
Sat May  3 14:08:55 2008  sparse part has weight 3401479 (42.66/col)
Sat May  3 14:08:55 2008  matrix includes 64 packed rows
Sat May  3 14:08:55 2008  using block size 21845 for processor cache size 512 kB
Sat May  3 14:08:56 2008  commencing Lanczos iteration
Sat May  3 14:08:56 2008  memory use: 13.6 MB
Sat May  3 14:10:09 2008  lanczos halted after 1261 iterations (dim = 79617)
Sat May  3 14:10:10 2008  recovered 17 nontrivial dependencies
Sat May  3 14:10:12 2008  prp33 factor: 133163092855224104302363788449929
Sat May  3 14:10:12 2008  prp64 factor: 2455989164158808006628046290075502317087684176170758096093506249
Sat May  3 14:10:12 2008  elapsed time 07:07:00

Pentium 4 2.4GHz, Windows XP and Cygwin)

363698032655983000887109927310470195159725284363099792950451819884850031842151060166176791870362432807<102>

21406727974433936850882602900693924335418266933<47>
16989893695587092805835674132504936884778981121981724779<56>

Number: 18883_111
N=363698032655983000887109927310470195159725284363099792950451819884850031842151060166176791870362432807
  ( 102 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=21406727974433936850882602900693924335418266933 (pp47)
 r2=16989893695587092805835674132504936884778981121981724779 (pp56)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 0.78 hours.
Scaled time: 1.86 units (timescale=2.379).
Factorization parameters were as follows:
n: 363698032655983000887109927310470195159725284363099792950451819884850031842151060166176791870362432807
m: 10000000000000000000000
c5: 170
c0: -53
skew: 0.79
type: snfs
Factor base limits: 360000/360000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [180000, 360001)
Primes: RFBsize:30757, AFBsize:30774, largePrimes:1077150 encountered
Relations: rels:997972, finalFF:91744
Max relations in full relation-set: 28
Initial matrix: 61598 x 91744 with sparse part having weight 4823069.
Pruned matrix : 54393 x 54764 with weight 2049154.
Total sieving time: 0.76 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,360000,360000,25,25,44,44,2.2,2.2,20000
total time: 0.78 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)

Core 2 Quad Q6700

21170591756644794954724198870561383072268803750731475078415249202148889783035058375416111094299170598481421<107>

8549198048140881562228719565616138334096186877231<49>
2476324871342590569760961715536698238992882278782339631491<58>

Number: n
N=21170591756644794954724198870561383072268803750731475078415249202148889783035058375416111094299170598481421
  ( 107 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=8549198048140881562228719565616138334096186877231 (pp49)
 r2=2476324871342590569760961715536698238992882278782339631491 (pp58)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.93 hours.
Scaled time: 1.70 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_8_111_3
n: 21170591756644794954724198870561383072268803750731475078415249202148889783035058375416111094299170598481421
skew: 0.50
deg: 5
c5: 1700
c0: -53
m: 10000000000000000000000
type: snfs
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:49098, AFBsize:49416, largePrimes:4169529 encountered
Relations: rels:3562039, finalFF:164380
Max relations in full relation-set: 48
Initial matrix: 98581 x 164380 with sparse part having weight 14493062.
Pruned matrix : 78682 x 79238 with weight 3965425.
Total sieving time: 0.84 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,600000,600000,28,28,48,48,2.5,2.5,50000
total time: 0.93 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

604026897711361001042648778953029296818263452928596668891224289618648285800606122496405187<90>

45407051110420976718615060333667020841308287<44>
13302491197732416716475505613313966954879008701<47>

Sat May  3 14:29:59 2008  Msieve v. 1.35
Sat May  3 14:29:59 2008  random seeds: 06c7da98 e99f005e
Sat May  3 14:29:59 2008  factoring 604026897711361001042648778953029296818263452928596668891224289618648285800606122496405187 (90 digits)
Sat May  3 14:30:01 2008  searching for 15-digit factors
Sat May  3 14:30:03 2008  commencing quadratic sieve (90-digit input)
Sat May  3 14:30:03 2008  using multiplier of 3
Sat May  3 14:30:03 2008  using 64kb Pentium 4 sieve core
Sat May  3 14:30:03 2008  sieve interval: 18 blocks of size 65536
Sat May  3 14:30:03 2008  processing polynomials in batches of 6
Sat May  3 14:30:03 2008  using a sieve bound of 1617893 (61176 primes)
Sat May  3 14:30:03 2008  using large prime bound of 135903012 (27 bits)
Sat May  3 14:30:03 2008  using double large prime bound of 436327220460936 (42-49 bits)
Sat May  3 14:30:03 2008  using trial factoring cutoff of 49 bits
Sat May  3 14:30:03 2008  polynomial 'A' values have 12 factors
Sat May  3 16:46:42 2008  61740 relations (16397 full + 45343 combined from 662542 partial), need 61272
Sat May  3 16:46:45 2008  begin with 678939 relations
Sat May  3 16:46:45 2008  reduce to 150588 relations in 11 passes
Sat May  3 16:46:45 2008  attempting to read 150588 relations
Sat May  3 16:46:49 2008  recovered 150588 relations
Sat May  3 16:46:49 2008  recovered 129378 polynomials
Sat May  3 16:46:50 2008  attempting to build 61740 cycles
Sat May  3 16:46:50 2008  found 61740 cycles in 5 passes
Sat May  3 16:46:50 2008  distribution of cycle lengths:
Sat May  3 16:46:50 2008     length 1 : 16397
Sat May  3 16:46:50 2008     length 2 : 11886
Sat May  3 16:46:50 2008     length 3 : 10898
Sat May  3 16:46:50 2008     length 4 : 8182
Sat May  3 16:46:50 2008     length 5 : 5849
Sat May  3 16:46:50 2008     length 6 : 3702
Sat May  3 16:46:50 2008     length 7 : 2260
Sat May  3 16:46:50 2008     length 9+: 2566
Sat May  3 16:46:50 2008  largest cycle: 18 relations
Sat May  3 16:46:50 2008  matrix is 61176 x 61740 (14.9 MB) with weight 3662101 (59.31/col)
Sat May  3 16:46:50 2008  sparse part has weight 3662101 (59.31/col)
Sat May  3 16:46:51 2008  filtering completed in 4 passes
Sat May  3 16:46:51 2008  matrix is 57220 x 57284 (13.8 MB) with weight 3399691 (59.35/col)
Sat May  3 16:46:51 2008  sparse part has weight 3399691 (59.35/col)
Sat May  3 16:46:52 2008  saving the first 48 matrix rows for later
Sat May  3 16:46:52 2008  matrix is 57172 x 57284 (8.5 MB) with weight 2623647 (45.80/col)
Sat May  3 16:46:52 2008  sparse part has weight 1877380 (32.77/col)
Sat May  3 16:46:52 2008  matrix includes 64 packed rows
Sat May  3 16:46:52 2008  using block size 21845 for processor cache size 512 kB
Sat May  3 16:46:52 2008  commencing Lanczos iteration
Sat May  3 16:46:52 2008  memory use: 8.4 MB
Sat May  3 16:47:25 2008  lanczos halted after 906 iterations (dim = 57172)
Sat May  3 16:47:25 2008  recovered 18 nontrivial dependencies
Sat May  3 16:47:27 2008  prp44 factor: 45407051110420976718615060333667020841308287
Sat May  3 16:47:27 2008  prp47 factor: 13302491197732416716475505613313966954879008701
Sat May  3 16:47:27 2008  elapsed time 02:17:28

Pentium 4 2.4GHz, Windows XP and Cygwin)

96751562383105601979686446490891285119918160039771268179072666138270111858671872512500663<89>

40639575279507524445937749287780453<35>
2380722773741498849314583916531534950249488824911854571<55>

Sat May  3 17:04:10 2008  Msieve v. 1.35
Sat May  3 17:04:10 2008  random seeds: f1ace691 41f2247d
Sat May  3 17:04:10 2008  factoring 96751562383105601979686446490891285119918160039771268179072666138270111858671872512500663 (89 digits)
Sat May  3 17:04:12 2008  searching for 15-digit factors
Sat May  3 17:04:14 2008  commencing quadratic sieve (89-digit input)
Sat May  3 17:04:14 2008  using multiplier of 3
Sat May  3 17:04:14 2008  using 64kb Pentium 4 sieve core
Sat May  3 17:04:14 2008  sieve interval: 17 blocks of size 65536
Sat May  3 17:04:14 2008  processing polynomials in batches of 6
Sat May  3 17:04:14 2008  using a sieve bound of 1550147 (59333 primes)
Sat May  3 17:04:14 2008  using large prime bound of 124011760 (26 bits)
Sat May  3 17:04:14 2008  using double large prime bound of 370026785535040 (42-49 bits)
Sat May  3 17:04:14 2008  using trial factoring cutoff of 49 bits
Sat May  3 17:04:14 2008  polynomial 'A' values have 11 factors
Sat May  3 19:36:18 2008  59471 relations (15268 full + 44203 combined from 634222 partial), need 59429
Sat May  3 19:36:20 2008  begin with 649490 relations
Sat May  3 19:36:21 2008  reduce to 147167 relations in 10 passes
Sat May  3 19:36:21 2008  attempting to read 147167 relations
Sat May  3 19:36:25 2008  recovered 147167 relations
Sat May  3 19:36:25 2008  recovered 129612 polynomials
Sat May  3 19:36:25 2008  attempting to build 59471 cycles
Sat May  3 19:36:25 2008  found 59471 cycles in 5 passes
Sat May  3 19:36:25 2008  distribution of cycle lengths:
Sat May  3 19:36:25 2008     length 1 : 15268
Sat May  3 19:36:25 2008     length 2 : 10961
Sat May  3 19:36:25 2008     length 3 : 10382
Sat May  3 19:36:25 2008     length 4 : 8027
Sat May  3 19:36:25 2008     length 5 : 5917
Sat May  3 19:36:25 2008     length 6 : 3876
Sat May  3 19:36:25 2008     length 7 : 2292
Sat May  3 19:36:25 2008     length 9+: 2748
Sat May  3 19:36:25 2008  largest cycle: 18 relations
Sat May  3 19:36:25 2008  matrix is 59333 x 59471 (14.9 MB) with weight 3656207 (61.48/col)
Sat May  3 19:36:25 2008  sparse part has weight 3656207 (61.48/col)
Sat May  3 19:36:26 2008  filtering completed in 3 passes
Sat May  3 19:36:26 2008  matrix is 55994 x 56058 (14.1 MB) with weight 3478766 (62.06/col)
Sat May  3 19:36:26 2008  sparse part has weight 3478766 (62.06/col)
Sat May  3 19:36:27 2008  saving the first 48 matrix rows for later
Sat May  3 19:36:27 2008  matrix is 55946 x 56058 (10.5 MB) with weight 2924982 (52.18/col)
Sat May  3 19:36:27 2008  sparse part has weight 2418502 (43.14/col)
Sat May  3 19:36:27 2008  matrix includes 64 packed rows
Sat May  3 19:36:27 2008  using block size 21845 for processor cache size 512 kB
Sat May  3 19:36:28 2008  commencing Lanczos iteration
Sat May  3 19:36:28 2008  memory use: 9.4 MB
Sat May  3 19:37:04 2008  lanczos halted after 886 iterations (dim = 55944)
Sat May  3 19:37:04 2008  recovered 16 nontrivial dependencies
Sat May  3 19:37:05 2008  prp35 factor: 40639575279507524445937749287780453
Sat May  3 19:37:05 2008  prp55 factor: 2380722773741498849314583916531534950249488824911854571
Sat May  3 19:37:05 2008  elapsed time 02:32:55

Pentium 4 2.4GHz, Windows XP and Cygwin)

3477557991264813287478908886327964502328581041382834256329695746849099622706974067359408570904712197364317903<109>

727894902607689657739464596480166721<36>
4777555082205456186505940897215974516974069492382172337337363813495100943<73>

Number: 18883_126
N=3477557991264813287478908886327964502328581041382834256329695746849099622706974067359408570904712197364317903
  ( 109 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=727894902607689657739464596480166721 (pp36)
 r2=4777555082205456186505940897215974516974069492382172337337363813495100943 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.08 hours.
Scaled time: 4.96 units (timescale=2.382).
Factorization parameters were as follows:
n: 3477557991264813287478908886327964502328581041382834256329695746849099622706974067359408570904712197364317903
m: 10000000000000000000000000
c5: 170
c0: -53
skew: 0.79
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [400000, 920001)
Primes: RFBsize:63951, AFBsize:63898, largePrimes:1458294 encountered
Relations: rels:1439137, finalFF:156132
Max relations in full relation-set: 28
Initial matrix: 127916 x 156132 with sparse part having weight 10680678.
Pruned matrix : 119166 x 119869 with weight 6532998.
Total sieving time: 2.01 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,800000,800000,25,25,45,45,2.2,2.2,40000
total time: 2.08 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)

Core 2 Quad Q6700

671864802701374144242485442869363565197753682139350317263751143697120621763729277444117459175771975912204400562963247<117>

328798120789209691542180686790545783365122362891647<51>
2043396115186747802808184830871608870858489870879968003790681182801<67>

Number: n
N=671864802701374144242485442869363565197753682139350317263751143697120621763729277444117459175771975912204400562963247
  ( 117 digits)
SNFS difficulty: 128 digits.
Divisors found:

Sat May  3 20:42:58 2008  prp51 factor: 328798120789209691542180686790545783365122362891647
Sat May  3 20:42:58 2008  prp67 factor: 2043396115186747802808184830871608870858489870879968003790681182801
Sat May  3 20:42:58 2008  elapsed time 00:05:26 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 2.68 hours.
Scaled time: 2.25 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_1_8_126_3
n: 671864802701374144242485442869363565197753682139350317263751143697120621763729277444117459175771975912204400562963247
type: snfs
deg: 5
c5: 1700
c0: -53
skew: 0.50
m: 10000000000000000000000000
rlim: 800000
alim: 800000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved  special-q in [100000, 521243)
Primes: RFBsize:63951, AFBsize:64318, largePrimes:1526929 encountered
Relations: rels:1490361, finalFF:138680
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 2.62 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.5,2.5,50000
total time: 2.68 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

98333041995706407541101587203287053374224097813765416091275589460900030276042794110046704210174524029<101>

4004240923599095557112102414494870267401405247<46>
24557224171047782792269547057638686525422784224174595907<56>

Number: 18883_128
N=98333041995706407541101587203287053374224097813765416091275589460900030276042794110046704210174524029
  ( 101 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=4004240923599095557112102414494870267401405247 (pp46)
 r2=24557224171047782792269547057638686525422784224174595907 (pp56)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 2.88 hours.
Scaled time: 6.86 units (timescale=2.385).
Factorization parameters were as follows:
n: 98333041995706407541101587203287053374224097813765416091275589460900030276042794110046704210174524029
m: 100000000000000000000000000
c5: 17
c0: -5300
skew: 3.15
type: snfs
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [500000, 1200001)
Primes: RFBsize:78498, AFBsize:78786, largePrimes:1601165 encountered
Relations: rels:1619904, finalFF:194549
Max relations in full relation-set: 28
Initial matrix: 157351 x 194549 with sparse part having weight 13099468.
Pruned matrix : 144276 x 145126 with weight 7867622.
Total sieving time: 2.78 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1000000,1000000,25,25,46,46,2.2,2.2,50000
total time: 2.88 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)

Core 2 Quad Q6700

120109103810755855073665089276825555209639255049591698558354393477251802397035257825184488637<93>

11614451771081002807800660499716452065000621<44>
10341349396259693395744386085621912743878339580497<50>

Sun May  4 06:17:09 2008  Msieve v. 1.35
Sun May  4 06:17:09 2008  random seeds: fc847c7a fd7eb40d
Sun May  4 06:17:09 2008  factoring 120109103810755855073665089276825555209639255049591698558354393477251802397035257825184488637 (93 digits)
Sun May  4 06:17:11 2008  searching for 15-digit factors
Sun May  4 06:17:13 2008  commencing quadratic sieve (93-digit input)
Sun May  4 06:17:13 2008  using multiplier of 13
Sun May  4 06:17:13 2008  using 64kb Pentium 4 sieve core
Sun May  4 06:17:13 2008  sieve interval: 18 blocks of size 65536
Sun May  4 06:17:13 2008  processing polynomials in batches of 6
Sun May  4 06:17:13 2008  using a sieve bound of 1852271 (69412 primes)
Sun May  4 06:17:13 2008  using large prime bound of 209306623 (27 bits)
Sun May  4 06:17:13 2008  using double large prime bound of 949312700295976 (42-50 bits)
Sun May  4 06:17:13 2008  using trial factoring cutoff of 50 bits
Sun May  4 06:17:13 2008  polynomial 'A' values have 12 factors
Sun May  4 09:46:15 2008  69873 relations (18535 full + 51338 combined from 881173 partial), need 69508
Sun May  4 09:46:19 2008  begin with 899708 relations
Sun May  4 09:46:20 2008  reduce to 174000 relations in 11 passes
Sun May  4 09:46:20 2008  attempting to read 174000 relations
Sun May  4 09:46:25 2008  recovered 174000 relations
Sun May  4 09:46:25 2008  recovered 154249 polynomials
Sun May  4 09:46:25 2008  attempting to build 69873 cycles
Sun May  4 09:46:25 2008  found 69873 cycles in 6 passes
Sun May  4 09:46:25 2008  distribution of cycle lengths:
Sun May  4 09:46:25 2008     length 1 : 18535
Sun May  4 09:46:25 2008     length 2 : 12855
Sun May  4 09:46:25 2008     length 3 : 12103
Sun May  4 09:46:25 2008     length 4 : 9383
Sun May  4 09:46:25 2008     length 5 : 6738
Sun May  4 09:46:25 2008     length 6 : 4286
Sun May  4 09:46:25 2008     length 7 : 2636
Sun May  4 09:46:25 2008     length 9+: 3337
Sun May  4 09:46:25 2008  largest cycle: 18 relations
Sun May  4 09:46:26 2008  matrix is 69412 x 69873 (17.2 MB) with weight 4220263 (60.40/col)
Sun May  4 09:46:26 2008  sparse part has weight 4220263 (60.40/col)
Sun May  4 09:46:27 2008  filtering completed in 3 passes
Sun May  4 09:46:27 2008  matrix is 65252 x 65314 (16.1 MB) with weight 3954945 (60.55/col)
Sun May  4 09:46:27 2008  sparse part has weight 3954945 (60.55/col)
Sun May  4 09:46:28 2008  saving the first 48 matrix rows for later
Sun May  4 09:46:28 2008  matrix is 65204 x 65314 (9.4 MB) with weight 3024807 (46.31/col)
Sun May  4 09:46:28 2008  sparse part has weight 2081515 (31.87/col)
Sun May  4 09:46:28 2008  matrix includes 64 packed rows
Sun May  4 09:46:28 2008  using block size 21845 for processor cache size 512 kB
Sun May  4 09:46:28 2008  commencing Lanczos iteration
Sun May  4 09:46:28 2008  memory use: 9.6 MB
Sun May  4 09:47:10 2008  lanczos halted after 1032 iterations (dim = 65202)
Sun May  4 09:47:11 2008  recovered 16 nontrivial dependencies
Sun May  4 09:47:11 2008  prp44 factor: 11614451771081002807800660499716452065000621
Sun May  4 09:47:11 2008  prp50 factor: 10341349396259693395744386085621912743878339580497
Sun May  4 09:47:11 2008  elapsed time 03:30:02

Pentium 4 2.4GHz, Windows XP and Cygwin)

648773965370217964813793670013617787398115175546853715736855115418235213719596637355092244272371104143591<105>

3764382625358250645569863551537179<34>
172345383011769458501536322137290527842023267217164289309509635505102629<72>

Number: 18883_133
N=648773965370217964813793670013617787398115175546853715736855115418235213719596637355092244272371104143591
  ( 105 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=3764382625358250645569863551537179 (pp34)
 r2=172345383011769458501536322137290527842023267217164289309509635505102629 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.61 hours.
Scaled time: 8.59 units (timescale=2.377).
Factorization parameters were as follows:
n: 648773965370217964813793670013617787398115175546853715736855115418235213719596637355092244272371104143591
m: 1000000000000000000000000000
c5: 17
c0: -5300
skew: 3.15
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1450001)
Primes: RFBsize:107126, AFBsize:107538, largePrimes:2291876 encountered
Relations: rels:2382392, finalFF:248342
Max relations in full relation-set: 28
Initial matrix: 214731 x 248342 with sparse part having weight 19852549.
Pruned matrix : 203707 x 204844 with weight 13784270.
Total sieving time: 3.40 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 3.61 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)

Core 2 Quad Q6700

3080016058196877858823811294679731916589946298223632245279662342289283579816083683606578447554446986742515515441<112>

1347794481418895554693419393197617111453<40>
2285226791368354411931518719607928339055696989105013365535936167657426597<73>

Number: 18883_135
N=3080016058196877858823811294679731916589946298223632245279662342289283579816083683606578447554446986742515515441
  ( 112 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=1347794481418895554693419393197617111453 (pp40)
 r2=2285226791368354411931518719607928339055696989105013365535936167657426597 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.16 hours.
Scaled time: 7.54 units (timescale=2.386).
Factorization parameters were as follows:
n: 3080016058196877858823811294679731916589946298223632245279662342289283579816083683606578447554446986742515515441
m: 1000000000000000000000000000
c5: 17
c0: -53
skew: 1.26
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1350001)
Primes: RFBsize:107126, AFBsize:106848, largePrimes:2339441 encountered
Relations: rels:2497590, finalFF:307796
Max relations in full relation-set: 28
Initial matrix: 214039 x 307796 with sparse part having weight 24583959.
Pruned matrix : 182104 x 183238 with weight 11697085.
Total sieving time: 3.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 3.16 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)

Core 2 Quad Q6700

7999367550197271822646360963644905153246648798556416044418272601732208581583503314076806099132800234363381916134439<115>

52269084438711395174858006507068213911373<41>
153042044567989424299284094191024360306276834800651709136147324967796139843<75>

Number: n
N=7999367550197271822646360963644905153246648798556416044418272601732208581583503314076806099132800234363381916134439
  ( 115 digits)
SNFS difficulty: 139 digits.
Divisors found:

Sun May  4 03:10:23 2008  prp41 factor: 52269084438711395174858006507068213911373
Sun May  4 03:10:23 2008  prp75 factor: 153042044567989424299284094191024360306276834800651709136147324967796139843
Sun May  4 03:10:23 2008  elapsed time 00:13:11 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 5.83 hours.
Scaled time: 4.89 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_1_8_137_3
n: 7999367550197271822646360963644905153246648798556416044418272601732208581583503314076806099132800234363381916134439
type: snfs
deg: 5
c5: 17000
c0: -53
skew: 0.32
m: 1000000000000000000000000000
rlim: 1100000
alim: 1100000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved  special-q in [100000, 2349990)
Primes: RFBsize:85714, AFBsize:85954, largePrimes:1723644 encountered
Relations: rels:1751737, finalFF:207968
Max relations in full relation-set: 28
Initial matrix: 171735 x 207968 with sparse part having weight 17947252.
Pruned matrix : 
Total sieving time: 5.74 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1100000,1100000,25,25,43,43,2.5,2.5,75000
total time: 5.83 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

1015040235835836378728631986726903634233303583621327606120724533258279780022125161642706618871835169922865567017<112>

1093771935863111803994728995558734837426133433<46>
928018175045653313023689862079602922263543547526513521806182993649<66>

Number: 18883_139
N=1015040235835836378728631986726903634233303583621327606120724533258279780022125161642706618871835169922865567017
  ( 112 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=1093771935863111803994728995558734837426133433 (pp46)
 r2=928018175045653313023689862079602922263543547526513521806182993649 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.77 hours.
Scaled time: 16.07 units (timescale=2.374).
Factorization parameters were as follows:
n: 1015040235835836378728631986726903634233303583621327606120724533258279780022125161642706618871835169922865567017
m: 10000000000000000000000000000
c5: 17
c0: -530
skew: 1.99
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1250001)
Primes: RFBsize:114155, AFBsize:114172, largePrimes:3312330 encountered
Relations: rels:3279076, finalFF:271361
Max relations in full relation-set: 28
Initial matrix: 228392 x 271361 with sparse part having weight 24091352.
Pruned matrix : 211946 x 213151 with weight 15991644.
Total sieving time: 6.51 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 6.77 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)

Core 2 Quad Q6600

7721458628098253520507907794388559567326852814475284956638057016810555515872552885560367973369293<97>

38770123268705413047738066497<29>
199160022643799127833796061370630292550733822605403852646915352573069<69>

Sun May  4 20:45:00 2008  Msieve v. 1.35
Sun May  4 20:45:00 2008  random seeds: dc0174df bdb499f0
Sun May  4 20:45:00 2008  factoring 7721458628098253520507907794388559567326852814475284956638057016810555515872552885560367973369293 (97 digits)
Sun May  4 20:45:02 2008  searching for 15-digit factors
Sun May  4 20:45:04 2008  commencing quadratic sieve (97-digit input)
Sun May  4 20:45:04 2008  using multiplier of 53
Sun May  4 20:45:04 2008  using 64kb Pentium 4 sieve core
Sun May  4 20:45:04 2008  sieve interval: 18 blocks of size 65536
Sun May  4 20:45:04 2008  processing polynomials in batches of 6
Sun May  4 20:45:04 2008  using a sieve bound of 2401409 (88235 primes)
Sun May  4 20:45:04 2008  using large prime bound of 360211350 (28 bits)
Sun May  4 20:45:04 2008  using double large prime bound of 2522337833647050 (43-52 bits)
Sun May  4 20:45:04 2008  using trial factoring cutoff of 52 bits
Sun May  4 20:45:04 2008  polynomial 'A' values have 13 factors
Mon May  5 05:41:31 2008  88780 relations (22380 full + 66400 combined from 1309522 partial), need 88331
Mon May  5 05:41:37 2008  begin with 1331902 relations
Mon May  5 05:41:38 2008  reduce to 228356 relations in 11 passes
Mon May  5 05:41:39 2008  attempting to read 228356 relations
Mon May  5 05:41:46 2008  recovered 228356 relations
Mon May  5 05:41:46 2008  recovered 214407 polynomials
Mon May  5 05:41:47 2008  attempting to build 88780 cycles
Mon May  5 05:41:47 2008  found 88780 cycles in 6 passes
Mon May  5 05:41:47 2008  distribution of cycle lengths:
Mon May  5 05:41:47 2008     length 1 : 22380
Mon May  5 05:41:47 2008     length 2 : 15920
Mon May  5 05:41:47 2008     length 3 : 15021
Mon May  5 05:41:47 2008     length 4 : 11905
Mon May  5 05:41:47 2008     length 5 : 8961
Mon May  5 05:41:47 2008     length 6 : 5950
Mon May  5 05:41:47 2008     length 7 : 3672
Mon May  5 05:41:47 2008     length 9+: 4971
Mon May  5 05:41:47 2008  largest cycle: 19 relations
Mon May  5 05:41:47 2008  matrix is 88235 x 88780 (23.4 MB) with weight 5776404 (65.06/col)
Mon May  5 05:41:48 2008  sparse part has weight 5776404 (65.06/col)
Mon May  5 05:41:49 2008  filtering completed in 3 passes
Mon May  5 05:41:49 2008  matrix is 83760 x 83824 (22.1 MB) with weight 5457471 (65.11/col)
Mon May  5 05:41:49 2008  sparse part has weight 5457471 (65.11/col)
Mon May  5 05:41:50 2008  saving the first 48 matrix rows for later
Mon May  5 05:41:50 2008  matrix is 83712 x 83824 (12.8 MB) with weight 4196289 (50.06/col)
Mon May  5 05:41:50 2008  sparse part has weight 2865457 (34.18/col)
Mon May  5 05:41:50 2008  matrix includes 64 packed rows
Mon May  5 05:41:50 2008  using block size 21845 for processor cache size 512 kB
Mon May  5 05:41:51 2008  commencing Lanczos iteration
Mon May  5 05:41:51 2008  memory use: 12.9 MB
Mon May  5 05:43:03 2008  lanczos halted after 1326 iterations (dim = 83712)
Mon May  5 05:43:04 2008  recovered 18 nontrivial dependencies
Mon May  5 05:43:05 2008  prp29 factor: 38770123268705413047738066497
Mon May  5 05:43:05 2008  prp69 factor: 199160022643799127833796061370630292550733822605403852646915352573069
Mon May  5 05:43:05 2008  elapsed time 08:58:05

Pentium 4 2.4GHz, Windows XP and Cygwin)

262585112752762205920670955413336778036659005411753895066599500993555436740779501333433240895230631<99>

5812880350102104118685752874347<31>
45172977411817853583314487385516736976079129109325013547106832353973<68>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 262585112752762205920670955413336778036659005411753895066599500993555436740779501333433240895230631 (99 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3495432361
Step 1 took 5103ms
Step 2 took 3199ms
********** Factor found in step 2: 5812880350102104118685752874347
Found probable prime factor of 31 digits: 5812880350102104118685752874347
Probable prime cofactor 45172977411817853583314487385516736976079129109325013547106832353973 has 68 digits

Core 2 Quad Q6700

1197467213688111895850772536711179223052372690430306061875255929817187752960564141361063736311640807267858301<109>

284184304370485849583806799703613180155918074201814599<54>
4213699332694306433921848962284585352045581816321987099<55>

Number: 18883_143
N=1197467213688111895850772536711179223052372690430306061875255929817187752960564141361063736311640807267858301
  ( 109 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=284184304370485849583806799703613180155918074201814599 (pp54)
 r2=4213699332694306433921848962284585352045581816321987099 (pp55)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.08 hours.
Scaled time: 23.75 units (timescale=2.356).
Factorization parameters were as follows:
n: 1197467213688111895850772536711179223052372690430306061875255929817187752960564141361063736311640807267858301
m: 100000000000000000000000000000
c5: 17
c0: -5300
skew: 3.15
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1650001)
Primes: RFBsize:135072, AFBsize:135378, largePrimes:3801778 encountered
Relations: rels:3847640, finalFF:337434
Max relations in full relation-set: 28
Initial matrix: 270517 x 337434 with sparse part having weight 31669794.
Pruned matrix : 247287 x 248703 with weight 19935634.
Total sieving time: 9.72 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 10.08 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)

Core 2 Quad Q6700

265636332331786455948599830433367466549294462972153747320203357415347232538865457535237362193153091325035833595006246655618589728847<132>

906712254747545828169857551757513<33>
292966518254180953679091271458567512967760755284807647661567847660425624429080931183692604031429719<99>

Number: 18883_145
N=265636332331786455948599830433367466549294462972153747320203357415347232538865457535237362193153091325035833595006246655618589728847
  ( 132 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=906712254747545828169857551757513 (pp33)
 r2=292966518254180953679091271458567512967760755284807647661567847660425624429080931183692604031429719 (pp99)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.04 hours.
Scaled time: 21.60 units (timescale=2.388).
Factorization parameters were as follows:
n: 265636332331786455948599830433367466549294462972153747320203357415347232538865457535237362193153091325035833595006246655618589728847
m: 100000000000000000000000000000
c5: 17
c0: -53
skew: 1.26
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1575001)
Primes: RFBsize:135072, AFBsize:134618, largePrimes:3865067 encountered
Relations: rels:4038075, finalFF:449877
Max relations in full relation-set: 28
Initial matrix: 269755 x 449877 with sparse part having weight 41845575.
Pruned matrix : 210461 x 211873 with weight 18696046.
Total sieving time: 8.75 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 9.04 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)

Core 2 Quad Q6700

3799818722794744250790994913866933739151845029327254261031147177170091191856457432267665149073674412679857372535547483357901361918279349871<139>

196920964872399960571095869962957319355465848009092572272618008697<66>
19296161407988911730535538884844824784794847267080297111232954814015304743<74>

Number: n
N=3799818722794744250790994913866933739151845029327254261031147177170091191856457432267665149073674412679857372535547483357901361918279349871
  ( 139 digits)
SNFS difficulty: 149 digits.
Divisors found:

Sun May 04 15:08:17 2008  prp66 factor: 196920964872399960571095869962957319355465848009092572272618008697
Sun May 04 15:08:17 2008  prp74 factor: 19296161407988911730535538884844824784794847267080297111232954814015304743
Sun May 04 15:08:17 2008  elapsed time 00:32:29 (Msieve 1.34)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 12.67 hours.
Scaled time: 23.17 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_8_147_3
n: 3799818722794744250790994913866933739151845029327254261031147177170091191856457432267665149073674412679857372535547483357901361918279349871
skew: 0.32
deg: 5
c5: 17000
c0: -53
m: 100000000000000000000000000000
type: snfs
rlim: 1600000
alim: 1600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2700001)
Primes: RFBsize:121127, AFBsize:121430, largePrimes:7338873 encountered
Relations: rels:6686800, finalFF:246342
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 12.49 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1600000,1600000,28,28,48,48,2.5,2.5,100000
total time: 12.67 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

186028564420120763869411900228851597728893983321120725406369201290270575424216972614176528429421435137778820470318466817128999458507711<135>

5388930257121078729270880943678492107897<40>
34520499532221180433112166674230849735039209965903167809354543240545253834351079688548856476663<95>

Number: 18883_149
N=186028564420120763869411900228851597728893983321120725406369201290270575424216972614176528429421435137778820470318466817128999458507711
  ( 135 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=5388930257121078729270880943678492107897 (pp40)
 r2=34520499532221180433112166674230849735039209965903167809354543240545253834351079688548856476663 (pp95)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 15.38 hours.
Scaled time: 36.40 units (timescale=2.367).
Factorization parameters were as follows:
n: 186028564420120763869411900228851597728893983321120725406369201290270575424216972614176528429421435137778820470318466817128999458507711
m: 1000000000000000000000000000000
c5: 17
c0: -530
skew: 1.99
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, 2300001)
Primes: RFBsize:176302, AFBsize:176478, largePrimes:5642114 encountered
Relations: rels:5569954, finalFF:478847
Max relations in full relation-set: 28
Initial matrix: 352845 x 478847 with sparse part having weight 44707797.
Pruned matrix : 304861 x 306689 with weight 25872555.
Total sieving time: 14.76 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 15.38 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)

Core 2 Quad Q6700

11485808617151117068599663545151818379779946947029462334170568301636248776109389736647593871953122496252803763639449645494895547442543301<137>

58524777302241362713821490265536758164758485666839114161<56>
196255486079589701227585169591220827496285377009347149826952814709503321846950741<81>

Number: 18883_150
N=11485808617151117068599663545151818379779946947029462334170568301636248776109389736647593871953122496252803763639449645494895547442543301
  ( 137 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=58524777302241362713821490265536758164758485666839114161
 r2=196255486079589701227585169591220827496285377009347149826952814709503321846950741
Version:
Total time: 21.46 hours.
Scaled time: 43.31 units (timescale=2.018).
Factorization parameters were as follows:
n: 11485808617151117068599663545151818379779946947029462334170568301636248776109389736647593871953122496252803763639449645494895547442543301
m: 1000000000000000000000000000000
c5: 17
c0: -53
Y1: 1
Y0: -1000000000000000000000000000000
skew: 1.26
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, 1200000)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 336747 x 336995
Total sieving time: 21.46 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 21.46 hours.
 --------- CPU info (if available) ----------

ggnfs for sieving, msieve for linear algebra and sqrt

5022600893589905636339499417613746611203498473826015438112127303240501238047489385556412100188188698846936423<109>

1274109118835390829488419042276855939<37>
3942049247854730324039591295348901289336792997888410316410784299138286157<73>

Number: 18883_154
N=5022600893589905636339499417613746611203498473826015438112127303240501238047489385556412100188188698846936423
  ( 109 digits)
Divisors found:
 r1=1274109118835390829488419042276855939 (pp37)
 r2=3942049247854730324039591295348901289336792997888410316410784299138286157 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.95 hours.
Scaled time: 28.49 units (timescale=2.385).
Factorization parameters were as follows:
name: 18883_154
n: 5022600893589905636339499417613746611203498473826015438112127303240501238047489385556412100188188698846936423
skew: 13374.50
# norm 5.43e+14
c5: 30720
c4: 173704624
c3: -7232247169672
c2: -374569345942660446
c1: -1059675685050481945127
c0: 22995021347564797885400
# alpha -5.17
Y1: 208977619037
Y0: -696147622413157774917
# Murphy_E 1.15e-09
# M 4860478897446311097949180415020740955658616983891812118048734381297380893306393968043407480884279029213211245
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1200000, 1860001)
Primes: RFBsize:176302, AFBsize:176443, largePrimes:7604035 encountered
Relations: rels:7511229, finalFF:560575
Max relations in full relation-set: 28
Initial matrix: 352821 x 560575 with sparse part having weight 54604718.
Pruned matrix : 235491 x 237319 with weight 27052759.
Polynomial selection time: 0.71 hours.
Total sieving time: 10.66 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000
total time: 11.95 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)

Core 2 Quad Q6700

1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<157>

94115205417543442260889014109032287575728859357342112763830605058897534630713<77>
20069965108281988776637007571562300370718669072099530779317161803679127900838091<80>

Number: n
N=1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
  ( 157 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=94115205417543442260889014109032287575728859357342112763830605058897534630713 (pp77)
 r2=20069965108281988776637007571562300370718669072099530779317161803679127900838091 (pp80)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 31.24 hours.
Scaled time: 56.95 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_1_8_155_3
n: 1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883
skew: 0.79
deg: 5
c5: 170
c0: -53
m: 10000000000000000000000000000000
type: snfs
rlim: 1800000
alim: 1800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 2200001)
Primes: RFBsize:135072, AFBsize:135633, largePrimes:7506713 encountered
Relations: rels:6975775, finalFF:328656
Max relations in full relation-set: 48
Initial matrix: 270772 x 328656 with sparse part having weight 59693763.
Pruned matrix : 260051 x 261468 with weight 42450536.
Total sieving time: 29.78 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.14 hours.
Total square root time: 0.16 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,1800000,1800000,28,28,48,48,2.5,2.5,100000
total time: 31.24 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

90710079114954335696397190260591525331294108394187880184386634784428245482340489749755161402692775609893602014870217387922920219956037<134>

7966230062417543067682362213686161549493<40>
11386826441643864898561421221923570419394152237250887959212635282363431012333153776133535984209<95>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 90710079114954335696397190260591525331294108394187880184386634784428245482340489749755161402692775609893602014870217387922920219956037 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3216558942
Step 1 took 6049ms
Step 2 took 3951ms
********** Factor found in step 2: 7966230062417543067682362213686161549493
Found probable prime factor of 40 digits: 7966230062417543067682362213686161549493
Probable prime cofactor 11386826441643864898561421221923570419394152237250887959212635282363431012333153776133535984209 has 95 digits

Core 2 Quad Q6700

368132701011282184542757530479222157257627926113601420559128608241841529699647025704324476493644297191364039931570627341432252755581541393273999003876220793<156>

64373087450280690223885039799015227383176824847<47>
5718736130150877068395855148563309851888644433107510229967183373492458900540607629747479591403697254369712119<109>

Number: n
N=368132701011282184542757530479222157257627926113601420559128608241841529699647025704324476493644297191364039931570627341432252755581541393273999003876220793
  ( 156 digits)
SNFS difficulty: 161 digits.
Divisors found:

Mon May 12 02:28:47 2008  prp47 factor: 64373087450280690223885039799015227383176824847
Mon May 12 02:28:47 2008  prp109 factor: 5718736130150877068395855148563309851888644433107510229967183373492458900540607629747479591403697254369712119
Mon May 12 02:28:47 2008  elapsed time 01:46:51 (Msieve 1.35)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 35.79 hours.
Scaled time: 65.47 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_8_158_3
n: 368132701011282184542757530479222157257627926113601420559128608241841529699647025704324476493644297191364039931570627341432252755581541393273999003876220793
skew: 1.99
deg: 5
c5: 17
c0: -530
m: 100000000000000000000000000000000
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  special-q in [100000, 2400169)
Primes: RFBsize:216816, AFBsize:217351, largePrimes:7254373 encountered
Relations: rels:6651059, finalFF:451072
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 35.61 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 35.79 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

302985939851235883087308263842071797843977357425435862111655525961601625018935621866532060916404183437066856356282494533251822148542935539981<141>

3287574485420198704133928558179<31>

92160935423645611317768122235971519726726074113585668724342529983025445149705393998167342865053046962449049039<110>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 302985939851235883087308263842071797843977357425435862111655525961601625018935621866532060916404183437066856356282494533251822148542935539981 (141 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3720085718
Step 1 took 6591ms
Step 2 took 4002ms
********** Factor found in step 2: 3287574485420198704133928558179
Found probable prime factor of 31 digits: 3287574485420198704133928558179
Composite cofactor 92160935423645611317768122235971519726726074113585668724342529983025445149705393998167342865053046962449049039 has 110 digits

Core 2 Quad Q6700

92160935423645611317768122235971519726726074113585668724342529983025445149705393998167342865053046962449049039<110>

6592109827352816863838466122643365447<37>
13980491502316873967791731851571399701122210654779288236879044841952532537<74>

Number: worktodo
N=92160935423645611317768122235971519726726074113585668724342529983025445149705393998167342865053046962449049039
  ( 110 digits)
Divisors found:
 r1=6592109827352816863838466122643365447
 r2=13980491502316873967791731851571399701122210654779288236879044841952532537
Version:
Total time: 24.24 hours.
Scaled time: 48.91 units (timescale=2.018).
Factorization parameters were as follows:
name: worktodo
n: 92160935423645611317768122235971519726726074113585668724342529983025445149705393998167342865053046962449049039
skew: 33082.85
# norm 4.09e+15
c5: 12600
c4: 2267365945
c3: -155321015926195
c2: -2349240279840559620
c1: 12982214017744131860983
c0: -31622288422337636799496945
# alpha -6.00
Y1: 379217522827
Y0: -1488782601061726047438
# Murphy_E 9.05e-10
# M 6562666969988531225364949784099942114382953390221344757651863751224118313342204937610904748802425250931949588
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, 2400001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 407644 x 407892
Total sieving time: 24.24 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 24.24 hours.
 --------- CPU info (if available) ----------

GGNFS for poly select and sieving, msieve for linear algebra and sqrt

35719532138157430052106995256408556683128572464714853419483400421642599338267848370829079226006677548827900672142510416094914152945325824970536131<146>

37464998032005354061197314116355187433310192513<47>
953410757092344732158061608063141390017470114019584701189414810489033337617424683715457001145387587<99>

Number: n
N=35719532138157430052106995256408556683128572464714853419483400421642599338267848370829079226006677548827900672142510416094914152945325824970536131
  ( 146 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=37464998032005354061197314116355187433310192513 (pp47)
 r2=953410757092344732158061608063141390017470114019584701189414810489033337617424683715457001145387587 (pp99)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 62.14 hours.
Scaled time: 113.65 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_8_162_3
n: 35719532138157430052106995256408556683128572464714853419483400421642599338267848370829079226006677548827900672142510416094914152945325824970536131
skew: 0.32
deg: 5
c5: 17000
c0: -53
m: 100000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 4000001)
Primes: RFBsize:230209, AFBsize:230502, largePrimes:7910428 encountered
Relations: rels:7389998, finalFF:540625
Max relations in full relation-set: 48
Initial matrix: 460778 x 540625 with sparse part having weight 70572678.
Pruned matrix : 433405 x 435772 with weight 49582594.
Total sieving time: 58.94 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 2.75 hours.
Total square root time: 0.16 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 62.14 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

719374465437643719673155958990646694072313754932899142898045569823974710056813761548010949545481947900800344543<111>

1216259663201331434035013956830378303572945186485863881<55>
591464542648869639542420113968295913254867921520280460903<57>

Number: 18883_164
N=719374465437643719673155958990646694072313754932899142898045569823974710056813761548010949545481947900800344543
  ( 111 digits)
Divisors found:
 r1=1216259663201331434035013956830378303572945186485863881 (pp55)
 r2=591464542648869639542420113968295913254867921520280460903 (pp57)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 15.70 hours.
Scaled time: 37.30 units (timescale=2.376).
Factorization parameters were as follows:
name: 18883_164
n: 719374465437643719673155958990646694072313754932899142898045569823974710056813761548010949545481947900800344543
skew: 18557.77
# norm 3.73e+15
c5: 64800
c4: 11133954640
c3: -106032251608850
c2: -5726041892371431773
c1: 10229939804823287742570
c0: -4521566322811507267369192
# alpha -6.05
Y1: 2901225613
Y0: -1618363130240665777689
# Murphy_E 8.01e-10
# M 111225469245920816024952471555682815374427338915935731619376144303250142866072342485964589906349848316772010006
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:175934, largePrimes:7511808 encountered
Relations: rels:7245607, finalFF:405867
Max relations in full relation-set: 28
Initial matrix: 352312 x 405867 with sparse part having weight 38930358.
Pruned matrix : 317084 x 318909 with weight 27771207.
Polynomial selection time: 0.84 hours.
Total sieving time: 14.07 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,50,50,2.6,2.6,60000
total time: 15.70 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673793)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.48 BogoMIPS (lpj=2672242)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672351)

Core 2 Quad Q6700

9304871373836891078270388615216201423097974822112753147235905856595511767925561029009304871373836891078270388615216201423097974822112753147235905856595511767925561<163>

43402480428621987030205003566889274936988593086053286493942371994002021584433<77>
214385705193492725009349612317191476170118142711660225267764600968001857107379610049417<87>

Number: n
N=9304871373836891078270388615216201423097974822112753147235905856595511767925561029009304871373836891078270388615216201423097974822112753147235905856595511767925561
  ( 163 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat May 10 22:25:30 2008  prp77 factor: 43402480428621987030205003566889274936988593086053286493942371994002021584433
Sat May 10 22:25:30 2008  prp87 factor: 214385705193492725009349612317191476170118142711660225267764600968001857107379610049417
Sat May 10 22:25:30 2008  elapsed time 01:40:15 (Msieve 1.35)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 63.69 hours.
Scaled time: 92.60 units (timescale=1.454).
Factorization parameters were as follows:
name: KA_1_8_164_3
n: 9304871373836891078270388615216201423097974822112753147235905856595511767925561029009304871373836891078270388615216201423097974822112753147235905856595511767925561
skew: 1.26
deg: 5
c5: 17
c0: -53
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  special-q in [100000, 3400001)
Primes: RFBsize:216816, AFBsize:215951, largePrimes:7486111 encountered
Relations: rels:6868633, finalFF:449713
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 63.43 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 63.69 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

7382495264294979622827850118446254916311984354166976601889891234115975629567482988730135681174541273056980748634482050644700216780880197<136>

823828965221082614714987491762129205824830523981<48>
8961198957496977939253687411601927777122185598907503134441460972542651247105156582110937<88>

Number: n
N=7382495264294979622827850118446254916311984354166976601889891234115975629567482988730135681174541273056980748634482050644700216780880197
  ( 136 digits)
SNFS difficulty: 169 digits.
Divisors found:

Fri Apr 24 20:49:26 2009  prp48 factor: 823828965221082614714987491762129205824830523981
Fri Apr 24 20:49:26 2009  prp88 factor: 8961198957496977939253687411601927777122185598907503134441460972542651247105156582110937
Fri Apr 24 20:49:26 2009  elapsed time 01:44:44 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 56.29 hours.
Scaled time: 149.11 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_1_8_166_3
n: 7382495264294979622827850118446254916311984354166976601889891234115975629567482988730135681174541273056980748634482050644700216780880197
m: 2000000000000000000000000000000000
deg: 5
c5: 425
c0: -424
skew: 1.00
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2300000, 5636291)
Primes: RFBsize:322441, AFBsize:322881, largePrimes:16952467 encountered
Relations: rels:16721012, finalFF:607071
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2174169 hash collisions in 18710656 relations
Msieve: matrix is 829496 x 829744 (220.4 MB)

Total sieving time: 55.50 hours.
Total relation processing time: 0.79 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,28,28,56,56,2.4,2.4,100000
total time: 56.29 hours.
 --------- CPU info (if available) ----------

22217383291503477096575692264647489780949424577499131507772258319728408177572884892839516643813163382376729411408505893129429419046471021370452929797707929<155>

149492575450278766064355105465537861991<39>
148618640254097296463041504915115243088101259415265146325211387004955010597261896312036315375075730295290862505541119<117>

GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 22217383291503477096575692264647489780949424577499131507772258319728408177572884892839516643813163382376729411408505893129429419046471021370452929797707929 (155 digits)
Using B1=2528000, B2=3567875230, polynomial Dickson(6), sigma=631359469
Step 1 took 43781ms
Step 2 took 16891ms
********** Factor found in step 2: 149492575450278766064355105465537861991
Found probable prime factor of 39 digits: 149492575450278766064355105465537861991
Probable prime cofactor 148618640254097296463041504915115243088101259415265146325211387004955010597261896312036315375075730295290862505541119 has 117 digits

7456706471881702948587894984483251776702871608366407116259572163132209730484362650515264996653912628191201709217484888874677283613067290328050783153756103149761063<163>

1899184819671361163387290225408063<34>
3926266888112567544073047887536313671079408556962007900627998803362902182734040273650475604473730549935716930277198186398648831001<130>

GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 7456706471881702948587894984483251776702871608366407116259572163132209730484362650515264996653912628191201709217484888874677283613067290328050783153756103149761063 (163 digits)
Using B1=386000, B2=258290770, polynomial Dickson(3), sigma=2244556447
Step 1 took 6734ms
Step 2 took 3562ms
********** Factor found in step 2: 1899184819671361163387290225408063
Found probable prime factor of 34 digits: 1899184819671361163387290225408063
Probable prime cofactor 3926266888112567544073047887536313671079408556962007900627998803362902182734040273650475604473730549935716930277198186398648831001 has 130 digits

9655060123620669206025974738195444050561032290005483080386739714241489585777600926399707507460520910682304298115846620265195528870797762599462867740469931317<157>

115142149344161629850376984688397<33>
1772963737984840369465746226474583<34>
47295606304386422476579305729270226175133053046692469208394133140258992145305451848568435167<92>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 9655060123620669206025974738195444050561032290005483080386739714241489585777600926399707507460520910682304298115846620265195528870797762599462867740469931317 (157 digits)
Using B1=1252000, B2=1426326730, polynomial Dickson(6), sigma=374355149
Step 1 took 15984ms
Step 2 took 6844ms
********** Factor found in step 2: 115142149344161629850376984688397
Found probable prime factor of 33 digits: 115142149344161629850376984688397
Composite cofactor 83853394943684333473055241658152182035340424420224832510221965919173132871571422640806640872525599975611826059405083408860361 has 125 digits


GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 83853394943684333473055241658152182035340424420224832510221965919173132871571422640806640872525599975611826059405083408860361 (125 digits)
Using B1=1372000, B2=1426564240, polynomial Dickson(6), sigma=495894633
Step 1 took 12015ms
Step 2 took 5141ms
********** Factor found in step 2: 1772963737984840369465746226474583
Found probable prime factor of 34 digits: 1772963737984840369465746226474583
Probable prime cofactor 47295606304386422476579305729270226175133053046692469208394133140258992145305451848568435167 has 92 digits

40802767055214921086779096617465074335511337861861387751067695310544831712641656988975752365080666987757350833915986502780313217481588612665343587779487151530811<161>

4243054134278387643902015996987107<34>
9616367306177254454400989800479749240068989346224909729607233753965222432813638290499093357045250756981484447816404226835696073<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2577178989
Step 1 took 52114ms
Step 2 took 17800ms
********** Factor found in step 2: 4243054134278387643902015996987107
Found probable prime factor of 34 digits: 4243054134278387643902015996987107
Probable prime cofactor 9616367306177254454400989800479749240068989346224909729607233753965222432813638290499093357045250756981484447816404226835696073 has 127 digits

GMP-ECM 6.2.1

5449783346977561037566572386369161497870199947271676665242982700409804282269573764317135435620062136726870773986985799165187311110105731097547<142>

5082667344375497681419535599351<31>
1072229004522264389297731966081077378110519279231987469943729528228287736187297292244073007381734462645151035597<112>

Using B1=3000000, B2=11413147210, polynomial Dickson(12), sigma=2733813737
Step 1 took 12219ms
Step 2 took 13886ms
********** Factor found in step 2: 5082667344375497681419535599351
Found probable prime factor of 31 digits: 5082667344375497681419535599351
Probable prime cofactor 1072229004522264389297731966081077378110519279231987469943729528228287736187297292244073007381734462645151035597 has 112 digits

GMP-ECM 6.2.1

98882792797863217450342541580238922065222995711823027157283782907050551453070137714817978720088799468425404803841284571619155548224745991708596853437<149>

282695848238775238636101214033492233452720004084041237<54>
349785090279582737442556872391856391639482611214962214307293059322809551094454215259188496110601<96>

Number: 18883_175
N=98882792797863217450342541580238922065222995711823027157283782907050551453070137714817978720088799468425404803841284571619155548224745991708596853437
  ( 149 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=282695848238775238636101214033492233452720004084041237
 r2=349785090279582737442556872391856391639482611214962214307293059322809551094454215259188496110601
Version: 
Total time: 120.32 hours.
Scaled time: 242.33 units (timescale=2.014).
Factorization parameters were as follows:
n: 98882792797863217450342541580238922065222995711823027157283782907050551453070137714817978720088799468425404803841284571619155548224745991708596853437
m: 100000000000000000000000000000000000
deg: 5
c5: 17
c0: -53
skew: 1.26
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1130175 x 1130423
Total sieving time: 120.32 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,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 120.32 hours.
 --------- CPU info (if available) ----------

168688158066328211076932664203519266765152530571964233725972984015537492893332660774495827123443053934645789134466462715182595609<129>

196635134737399463953633508063819007731<39>
857873941458154810248195695721179682036072963861787153119121622819576388188043308927091139<90>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3335034176
Step 1 took 159218ms
Step 2 took 55985ms
********** Factor found in step 2: 196635134737399463953633508063819007731
Found probable prime factor of 39 digits: 196635134737399463953633508063819007731
Probable prime cofactor 857873941458154810248195695721179682036072963861787153119121622819576388188043308927091139 has 90 digits

GMP-ECM 6.3

10500379556889145330246585114238768457291202943488725603741369894166236710397268265106651792985936756049<104>

40841462947354589786207930836285747643<38>
257100965516938781704461385818273110825314784282900274223801951843<66>

Number: 18883_178
N=10500379556889145330246585114238768457291202943488725603741369894166236710397268265106651792985936756049
  ( 104 digits)
Divisors found:
 r1=40841462947354589786207930836285747643 (pp38)
 r2=257100965516938781704461385818273110825314784282900274223801951843 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.95 hours.
Scaled time: 11.76 units (timescale=2.378).
Factorization parameters were as follows:
name: 18883_178
n: 10500379556889145330246585114238768457291202943488725603741369894166236710397268265106651792985936756049
skew: 14873.58
# norm 2.30e+14
c5: 16860
c4: 394657478
c3: 691223280664
c2: -129661333066021771
c1: 933196451921052844674
c0: 2280582783604846240475616
# alpha -6.26
Y1: 55451588929
Y0: -57394135822956993649
# Murphy_E 2.25e-09
# M 6839246963409309748766842326136220909111860140739734615850387672023936970225800943518710329636436932672
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1620001)
Primes: RFBsize:135072, AFBsize:135010, largePrimes:4383712 encountered
Relations: rels:4338342, finalFF:345714
Max relations in full relation-set: 28
Initial matrix: 270166 x 345714 with sparse part having weight 28239737.
Pruned matrix : 220167 x 221581 with weight 15602253.
Polynomial selection time: 0.39 hours.
Total sieving time: 4.23 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 4.95 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047208k/8912896k available (2434k kernel code, 339080k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.03 BogoMIPS (lpj=2672015)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)

Core 2 Quad Q6700

3034546746278241754546541175298947915240031680580992989847366512160046654373577614036125398773325248915730260994774404813317496390507217763107390849712504613176533769<166>

26604918932254488873702260991430211897<38>
114059612585374475600178949348288186025416291213608933974036444631041504306498648616559148827652054979082007238943314245835524177<129>

N=3034546746278241754546541175298947915240031680580992989847366512160046654373577614036125398773325248915730260994774404813317496390507217763107390849712504613176533769
  ( 166 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=26604918932254488873702260991430211897 (pp38)
 r2=114059612585374475600178949348288186025416291213608933974036444631041504306498648616559148827652054979082007238943314245835524177 (pp129)
Version: Msieve v. 1.47
Total time:
Scaled time: 54.50 units (timescale=1.778).
Factorization parameters were as follows:
n: 3034546746278241754546541175298947915240031680580992989847366512160046654373577614036125398773325248915730260994774404813317496390507217763107390849712504613176533769
m: 100000000000000000000000000000000000
deg: 5
c5: 170000
c0: -53
skew: 0.20
type: snfs
lss: 1
rlim: 7100000
alim: 7100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7100000/7100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3550000, 11150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1678260 x 1678499
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7100000,7100000,28,28,53,53,2.5,2.5,100000
total time:

112548507653788324686725629965802694591162152511278229182004895353801933416798118034418778686753049757692026077946774379085781696814981298118218337724119096837421<162>

2094053201242285989199853022384636228051024211291766374542672331185989<70>
53746727918383123040227294445571711423593287528017026984067171710878603642335229093293119689<92>

N=112548507653788324686725629965802694591162152511278229182004895353801933416798118034418778686753049757692026077946774379085781696814981298118218337724119096837421
  ( 162 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=2094053201242285989199853022384636228051024211291766374542672331185989 (pp70)
 r2=53746727918383123040227294445571711423593287528017026984067171710878603642335229093293119689 (pp92)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 114.74 hours.
Scaled time: 202.17 units (timescale=1.762).
Factorization parameters were as follows:
n: 112548507653788324686725629965802694591162152511278229182004895353801933416798118034418778686753049757692026077946774379085781696814981298118218337724119096837421
m: 1000000000000000000000000000000000000
deg: 5
c5: 17
c0: -53
skew: 1.26
# Murphy_E = 9.799e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 9650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1353379 x 1353606
Total sieving time: 112.34 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.90 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 114.74 hours.
 --------- CPU info (if available) ----------

118504982536320458360472208359693700475827306632688908266254061475378195476442759113981192365718106310074394906947223616576610584484935024133224228850484607380829<162>

79773494662146057147807433977988974829895018163585643<53>
1485518254380213099372587146339424079063903590614718970877671728493815626027503131751145116477847948095017303<109>

N=118504982536320458360472208359693700475827306632688908266254061475378195476442759113981192365718106310074394906947223616576610584484935024133224228850484607380829
  ( 162 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=79773494662146057147807433977988974829895018163585643 (pp53)
 r2=1485518254380213099372587146339424079063903590614718970877671728493815626027503131751145116477847948095017303 (pp109)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 145.19 hours.
Scaled time: 279.06 units (timescale=1.922).
Factorization parameters were as follows:
n: 118504982536320458360472208359693700475827306632688908266254061475378195476442759113981192365718106310074394906947223616576610584484935024133224228850484607380829
m: 1000000000000000000000000000000000000
deg: 5
c5: 170
c0: -53
skew: 0.79
# Murphy_E = 7.129e-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, 11400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1627907 x 1628135
Total sieving time: 142.28 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.60 hours.
Time per square root: 0.10 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: 145.19 hours.
 --------- CPU info (if available) ----------

30567329801888401159433088915799722309462968449417751765032978605529646079953664676432635340247764533024780426024491064441968510260479024378291862356258548399<158>

542183237173173260756944572437088392766392623559057615764187759<63>
56378227333732930766272023533174366167143977560747428152894680777720285729807398450483053568961<95>

N=30567329801888401159433088915799722309462968449417751765032978605529646079953664676432635340247764533024780426024491064441968510260479024378291862356258548399
  ( 158 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=542183237173173260756944572437088392766392623559057615764187759 (pp63)
 r2=56378227333732930766272023533174366167143977560747428152894680777720285729807398450483053568961 (pp95)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 202.85 hours.
Scaled time: 390.28 units (timescale=1.924).
Factorization parameters were as follows:
n: 30567329801888401159433088915799722309462968449417751765032978605529646079953664676432635340247764533024780426024491064441968510260479024378291862356258548399
m: 5000000000000000000000000000000000000
deg: 5
c5: 272
c0: -265
skew: 0.99
# Murphy_E = 4.711e-11
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 14600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1943843 x 1944072
Total sieving time: 198.72 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.75 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 202.85 hours.
 --------- CPU info (if available) ----------

225673702376211336784813487322447895924598433559007035709544670118146820655781229257931766892340369042878003451480153989114562591265100225673702376211336784813487322447895924598433559<183>

1597997386322290245461276699108764584415883034598743632467843957463923933713820829<82>
141222823208483395121283940637151729989074192145153563988529735450619888690572081943928291407031714371<102>

Number: n
N=225673702376211336784813487322447895924598433559007035709544670118146820655781229257931766892340369042878003451480153989114562591265100225673702376211336784813487322447895924598433559
  ( 183 digits)
SNFS difficulty: 186 digits.
Divisors found:

Tue Jun  3 00:59:42 2008  prp82 factor: 1597997386322290245461276699108764584415883034598743632467843957463923933713820829
Tue Jun  3 00:59:42 2008  prp102 factor: 141222823208483395121283940637151729989074192145153563988529735450619888690572081943928291407031714371
Tue Jun  3 00:59:42 2008  elapsed time 03:01:31 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 96.19 hours.
Scaled time: 80.61 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_8_184_3
n: 225673702376211336784813487322447895924598433559007035709544670118146820655781229257931766892340369042878003451480153989114562591265100225673702376211336784813487322447895924598433559
type: snfs
deg: 5
c5: 17
c0: -53
skew: 1.26
m: 10000000000000000000000000000000000000
rlim: 7000000
alim: 7000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 13400077)
Primes: RFBsize:476648, AFBsize:476034, largePrimes:6576115 encountered
Relations: rels:6884940, finalFF:988009
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 95.96 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,48,48,2.5,2.5,100000
total time: 96.19 hours.
 --------- CPU info (if available) ----------

5341932224368347122327354664404447609892518115862793615254832343039640727304352276552602209531904854951579464241438156996375369884151985796619092688981<151>

8404592170259213655605992390643141401811<40>
547447325590487112962872343516844208948842247<45>
1161019170658147844520718638618967733245813401242909977531376192593<67>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1110947807
Step 1 took 176350ms
Step 2 took 58004ms
********** Factor found in step 2: 8404592170259213655605992390643141401811
Found prime factor of 40 digits: 8404592170259213655605992390643141401811
Composite cofactor 635596839936088385113861435489253454836735406941476663379084370896759740793142125922978374709375050926246876471 has 111 digits

Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1:3048242061
Step 1 took 100406ms
Step 2 took 50594ms
********** Factor found in step 2: 547447325590487112962872343516844208948842247
Found prime factor of 45 digits: 547447325590487112962872343516844208948842247
Prime cofactor 1161019170658147844520718638618967733245813401242909977531376192593 has 67 digits

GMP-ECM 7.0.4

417858842864048922896196337118593534562428072576844463940803492716857825203006427509934866101671<96>

3425376722500250431425989302857061<34>
121989164029539344478888387906348661308781361217618006478634011<63>

Sat May  3 19:48:17 2008  Msieve v. 1.35
Sat May  3 19:48:17 2008  random seeds: 695a6d9a 2c707a77
Sat May  3 19:48:17 2008  factoring 417858842864048922896196337118593534562428072576844463940803492716857825203006427509934866101671 (96 digits)
Sat May  3 19:48:19 2008  searching for 15-digit factors
Sat May  3 19:48:21 2008  commencing quadratic sieve (96-digit input)
Sat May  3 19:48:21 2008  using multiplier of 1
Sat May  3 19:48:21 2008  using 64kb Pentium 4 sieve core
Sat May  3 19:48:21 2008  sieve interval: 18 blocks of size 65536
Sat May  3 19:48:21 2008  processing polynomials in batches of 6
Sat May  3 19:48:21 2008  using a sieve bound of 2257987 (83529 primes)
Sat May  3 19:48:21 2008  using large prime bound of 338698050 (28 bits)
Sat May  3 19:48:21 2008  using double large prime bound of 2257682284654350 (43-52 bits)
Sat May  3 19:48:21 2008  using trial factoring cutoff of 52 bits
Sat May  3 19:48:21 2008  polynomial 'A' values have 12 factors
Sun May  4 04:33:19 2008  83830 relations (19972 full + 63858 combined from 1268871 partial), need 83625
Sun May  4 04:33:24 2008  begin with 1288843 relations
Sun May  4 04:33:26 2008  reduce to 222077 relations in 11 passes
Sun May  4 04:33:26 2008  attempting to read 222077 relations
Sun May  4 04:33:33 2008  recovered 222077 relations
Sun May  4 04:33:33 2008  recovered 209059 polynomials
Sun May  4 04:33:33 2008  attempting to build 83830 cycles
Sun May  4 04:33:34 2008  found 83830 cycles in 6 passes
Sun May  4 04:33:34 2008  distribution of cycle lengths:
Sun May  4 04:33:34 2008     length 1 : 19972
Sun May  4 04:33:34 2008     length 2 : 14020
Sun May  4 04:33:34 2008     length 3 : 14057
Sun May  4 04:33:34 2008     length 4 : 11320
Sun May  4 04:33:34 2008     length 5 : 8801
Sun May  4 04:33:34 2008     length 6 : 6050
Sun May  4 04:33:34 2008     length 7 : 3976
Sun May  4 04:33:34 2008     length 9+: 5634
Sun May  4 04:33:34 2008  largest cycle: 19 relations
Sun May  4 04:33:34 2008  matrix is 83529 x 83830 (23.4 MB) with weight 5800295 (69.19/col)
Sun May  4 04:33:34 2008  sparse part has weight 5800295 (69.19/col)
Sun May  4 04:33:36 2008  filtering completed in 3 passes
Sun May  4 04:33:36 2008  matrix is 80180 x 80244 (22.5 MB) with weight 5574830 (69.47/col)
Sun May  4 04:33:36 2008  sparse part has weight 5574830 (69.47/col)
Sun May  4 04:33:37 2008  saving the first 48 matrix rows for later
Sun May  4 04:33:37 2008  matrix is 80132 x 80244 (16.0 MB) with weight 4623887 (57.62/col)
Sun May  4 04:33:37 2008  sparse part has weight 3724238 (46.41/col)
Sun May  4 04:33:37 2008  matrix includes 64 packed rows
Sun May  4 04:33:37 2008  using block size 21845 for processor cache size 512 kB
Sun May  4 04:33:38 2008  commencing Lanczos iteration
Sun May  4 04:33:38 2008  memory use: 14.4 MB
Sun May  4 04:34:57 2008  lanczos halted after 1270 iterations (dim = 80131)
Sun May  4 04:34:57 2008  recovered 17 nontrivial dependencies
Sun May  4 04:34:59 2008  prp34 factor: 3425376722500250431425989302857061
Sun May  4 04:34:59 2008  prp63 factor: 121989164029539344478888387906348661308781361217618006478634011
Sun May  4 04:34:59 2008  elapsed time 08:46:42

Pentium 4 2.4GHz, Windows XP and Cygwin)

45362180915095932862608675860688471546589085050725217605287979671594186073456147079883035424966963532040498752200089448980401564272311087245625338282067116392147<161>

3205095166979268451820739499022372222766587881122012416384652021157999<70>
14153146334761968550850183782594065927780606171398735511737347373426382499387875550129381853<92>

45362180915095932862608675860688471546589085050725217605287979671594186073456147079883035424966963532040498752200089448980401564272311087245625338282067116392147=3205095166979268451820739499022372222766587881122012416384652021157999*14153146334761968550850183782594065927780606171398735511737347373426382499387875550129381853

cado polynomial
n: 45362180915095932862608675860688471546589085050725217605287979671594186073456147079883035424966963532040498752200089448980401564272311087245625338282067116392147
skew: 0.50
type: snfs
c0: -53
c5: 1700
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 1700*x^5-53
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11600000
tasks.lim1 = 11600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 14153146334761968550850183782594065927780606171398735511737347373426382499387875550129381853 3205095166979268451820739499022372222766587881122012416384652021157999
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/2.08981
Info:Generate Free Relations: Total cpu/real time for freerel: 100.23/25.7718
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30266148
Info:Lattice Sieving: Average J: 1893.78 for 4041908 special-q, max bucket fill -bkmult 1.0,1s:1.169130
Info:Lattice Sieving: Total time: 1.08327e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.11/155.279
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 154.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 518.4/495.021
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 426.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 450.66/516.034
Info:Filtering - Merging: Merged matrix has 2647971 rows and total weight 455559492 (172.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 372.66/107.918
Info:Filtering - Merging: Total cpu/real time for replay: 101.92/88.541
Info:Linear Algebra: Total cpu/real time for bwc: 124737/31962
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 20424.02, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (82944 iterations)
Info:Linear Algebra: Lingen CPU time 534.53, WCT time 155.01
Info:Linear Algebra: Mksol: WCT time 11102.96, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41472 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 91.89/39.2598
Info:Square Root: Total cpu/real time for sqrt: 775.85/242.915
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.12442e+06/97102.2
Info:root: Cleaning up computation data in /tmp/cado.03cgypd3
14153146334761968550850183782594065927780606171398735511737347373426382499387875550129381853 3205095166979268451820739499022372222766587881122012416384652021157999

cado-nfs-3.0.0

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

19837213265305750708644174024415228085608004175398171051464999200291352597438561083368415899473512737788415756829094250473499919449065460713730825057183237<155>

700152996380659538246179111144166956012373803669<48>
1851804007754893715112333521422630729014733951063<49>
15300044392400175891460338285418856748004242626214770012471<59>

found factor: 15300044392400175891460338285418856748004242626214770012471
p48 factor: 700152996380659538246179111144166956012373803669
p49 factor: 1851804007754893715112333521422630729014733951063
p59 factor: 15300044392400175891460338285418856748004242626214770012471


Msieve v. 1.54 (SVN 1032M)
random seeds: 0bd535a5 fa1f999c
factoring 19837213265305750708644174024415228085608004175398171051464999200291352597438561083368415899473512737788415756829094250473499919449065460713730825057183237 (155 digits)
searching for 15-digit factors
commencing number field sieve (155-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 17000
skew 1.00, size 7.631e-14, alpha 0.048, combined = 1.729e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.4 MB
commencing duplicate removal, pass 1
found 608983 hash collisions in 36610618 relations
added 727551 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37338169 unique relations
memory use: 144.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1235.2 MB
keeping 40180718 ideals with weight <= 200, target excess is 196778
commencing in-memory singleton removal
begin with 37338169 relations and 40180718 unique ideals
reduce to 14100575 relations and 12932823 ideals in 16 passes
max relations containing the same ideal: 104
removing 2136201 relations and 1736201 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11964374 relations and 12932823 unique ideals
reduce to 11687140 relations and 10909272 ideals in 9 passes
max relations containing the same ideal: 94
removing 1727531 relations and 1327531 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9959609 relations and 10909272 unique ideals
reduce to 9735832 relations and 9349974 ideals in 10 passes
max relations containing the same ideal: 84
removing 806817 relations and 649222 ideals in 157595 cliques
commencing in-memory singleton removal
begin with 8929015 relations and 9349974 unique ideals
reduce to 8873985 relations and 8644908 ideals in 8 passes
max relations containing the same ideal: 79
relations with 0 large ideals: 4228
relations with 1 large ideals: 8008
relations with 2 large ideals: 71094
relations with 3 large ideals: 361269
relations with 4 large ideals: 1089420
relations with 5 large ideals: 2040068
relations with 6 large ideals: 2501947
relations with 7+ large ideals: 2797951
commencing 2-way merge
reduce to 5512522 relation sets and 5283445 unique ideals
commencing full merge
memory use: 630.7 MB
found 2584768 cycles, need 2561645
weight of 2561645 cycles is about 230728377 (90.07/cycle)
distribution of cycle lengths:
1 relations: 219602
2 relations: 222349
3 relations: 231059
4 relations: 221737
5 relations: 213526
6 relations: 196813
7 relations: 182706
8 relations: 165178
9 relations: 148112
10+ relations: 760563
heaviest cycle: 27 relations
commencing cycle optimization
start with 18865271 relations
pruned 636236 relations
memory use: 555.7 MB
distribution of cycle lengths:
1 relations: 219602
2 relations: 227597
3 relations: 239946
4 relations: 229097
5 relations: 221243
6 relations: 202988
7 relations: 188191
8 relations: 169012
9 relations: 150762
10+ relations: 713207
heaviest cycle: 27 relations
RelProcTime: 716
elapsed time 00:12:01


Msieve v. 1.54 (SVN 1032M)
random seeds: 3c85a459 7d02bba1
factoring 19837213265305750708644174024415228085608004175398171051464999200291352597438561083368415899473512737788415756829094250473499919449065460713730825057183237 (155 digits)
searching for 15-digit factors
commencing number field sieve (155-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 17000
skew 1.00, size 7.631e-14, alpha 0.048, combined = 1.729e-11 rroots = 1

commencing linear algebra
read 2561645 cycles
cycles contain 8707171 unique relations
read 8707171 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1116.3 MB
read 2561645 cycles
matrix is 2561467 x 2561645 (940.5 MB) with weight 277536169 (108.34/col)
sparse part has weight 218378420 (85.25/col)
filtering completed in 2 passes
matrix is 2560791 x 2560969 (940.5 MB) with weight 277511509 (108.36/col)
sparse part has weight 218369942 (85.27/col)
matrix starts at (0, 0)
matrix is 2560791 x 2560969 (940.5 MB) with weight 277511509 (108.36/col)
sparse part has weight 218369942 (85.27/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2560743 x 2560969 (894.1 MB) with weight 227758912 (88.93/col)
sparse part has weight 208775408 (81.52/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 851.1 MB
linear algebra at 0.1%, ETA 2h20m
checkpointing every 1050000 dimensions
lanczos halted after 40496 iterations (dim = 2560739)
recovered 36 nontrivial dependencies
BLanczosTime: 6967
elapsed time 01:56:09


Msieve v. 1.54 (SVN 1032M)
random seeds: fc747b38 e8df8c8b
factoring 19837213265305750708644174024415228085608004175398171051464999200291352597438561083368415899473512737788415756829094250473499919449065460713730825057183237 (155 digits)
searching for 15-digit factors
commencing number field sieve (155-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -53
A1: 0
A2: 0
A3: 0
A4: 0
A5: 17000
skew 1.00, size 7.631e-14, alpha 0.048, combined = 1.729e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1280232 cycles
cycles contain 4349732 unique relations
read 4349732 relations
multiplying 4349732 relations
multiply complete, coefficients have about 155.16 million bits
initial square root is modulo 370241
found factor: 15300044392400175891460338285418856748004242626214770012471
reading relations for dependency 2
read 1280131 cycles
cycles contain 4352888 unique relations
read 4352888 relations
multiplying 4352888 relations
multiply complete, coefficients have about 155.27 million bits
initial square root is modulo 373561
sqrtTime: 841
p48 factor: 700152996380659538246179111144166956012373803669
p49 factor: 1851804007754893715112333521422630729014733951063
p59 factor: 15300044392400175891460338285418856748004242626214770012471
elapsed time 00:14:03

CADO-NFS/Msieve

2389712733978813620322094668637653950517565603657170554632954571896077302760989933738321106493971760505056808037246047286283413795533453736327065811340726938866983218583814822975989<181>

178569036726907545268843741064938838081017740450776097417380023770292039<72>
13382570560838566124957067533161751305642535675468801273470953308573144214385969104361642161474880300375438051<110>

2389712733978813620322094668637653950517565603657170554632954571896077302760989933738321106493971760505056808037246047286283413795533453736327065811340726938866983218583814822975989=178569036726907545268843741064938838081017740450776097417380023770292039*13382570560838566124957067533161751305642535675468801273470953308573144214385969104361642161474880300375438051

cado polynomial
n: 2389712733978813620322094668637653950517565603657170554632954571896077302760989933738321106493971760505056808037246047286283413795533453736327065811340726938866983218583814822975989
skew: 0.99
type: snfs
c0: -265
c5: 272
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 272*x^5-265
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12900000
tasks.lim1 = 12900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Filtering - Merging: Merged matrix has 2915490 rows and total weight 497533621 (170.7 entries per row on average)
Info:Square Root: Factors: 13382570560838566124957067533161751305642535675468801273470953308573144214385969104361642161474880300375438051 178569036726907545268843741064938838081017740450776097417380023770292039
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.43/2.18632
Info:Generate Free Relations: Total cpu/real time for freerel: 102.47/26.4663
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31113913
Info:Lattice Sieving: Average J: 1894.24 for 4735247 special-q, max bucket fill -bkmult 1.0,1s:1.128490
Info:Lattice Sieving: Total time: 1.22918e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 60.29/161.675
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 160.59999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 531.31/519.599
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 451.99999999999994s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 456.99/517.957
Info:Filtering - Merging: Total cpu/real time for merge: 414.68/119.647
Info:Filtering - Merging: Total cpu/real time for replay: 112.38/98.1074
Info:Linear Algebra: Total cpu/real time for bwc: 160592/41451
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 25781.63, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (91136 iterations)
Info:Linear Algebra: Lingen CPU time 606.87, WCT time 175.13
Info:Linear Algebra: Mksol: WCT time 15161.78, iteration CPU time 0.31, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (45568 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 101.03/44.2573
Info:Square Root: Total cpu/real time for sqrt: 830.37/260.981
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.43836e+06/89852.4
Info:root: Cleaning up computation data in /tmp/cado.5ks6jgl3
13382570560838566124957067533161751305642535675468801273470953308573144214385969104361642161474880300375438051 178569036726907545268843741064938838081017740450776097417380023770292039

cado-nfs-3.0.0

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

4247233090099791646443561806393685319250482245205950826499650921048098794778599065922925207892348895210928252347640510670112645558901991645115520455716850123<157>

6743298777866628602709701154122977611887<40>
629845010581525052452768965041849294879816454294841293615400555271970693423340998876109931908783959939783905436144229<117>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=370390129
Step 1 took 98790ms
Step 2 took 33185ms
********** Factor found in step 2: 6743298777866628602709701154122977611887
Found probable prime factor of 40 digits: 6743298777866628602709701154122977611887

31702837167169110953872916952082494379555806874677583207111719357067736963684203361611874436354764970966174644990168058397738184350965024383863<143>

4555767242387605257093485195274397573453468693371167237<55>
6958836016072269201059376855229528647657884370985126449771734377415189031701669170740299<88>

31702837167169110953872916952082494379555806874677583207111719357067736963684203361611874436354764970966174644990168058397738184350965024383863=4555767242387605257093485195274397573453468693371167237*6958836016072269201059376855229528647657884370985126449771734377415189031701669170740299

Info:Square Root: Factors: 4555767242387605257093485195274397573453468693371167237 6958836016072269201059376855229528647657884370985126449771734377415189031701669170740299
Info:Square Root: Total cpu/real time for sqrt: 15925.3/2138.81
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78408/42.560/51.351/57.440/0.942
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78408/41.710/45.915/52.040/1.194
Info:Polynomial Selection (size optimized): Total time: 117476
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7031.01
Info:Polynomial Selection (root optimized): Rootsieve time: 7028.13
Info:Generate Factor Base: Total cpu/real time for makefb: 22.7/2.48853
Info:Generate Free Relations: Total cpu/real time for freerel: 859.52/80.6366
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 47022303
Info:Lattice Sieving: Average J: 3815.26 for 892241 special-q, max bucket fill -bkmult 1.0,1s:1.086490
Info:Lattice Sieving: Total time: 2.57208e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.5/74.5521
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 73.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1655.88/749.246
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 628.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1566.68/704.151
Info:Filtering - Merging: Total cpu/real time for merge: 2894.38/2536.47
Info:Filtering - Merging: Total cpu/real time for replay: 272.13/217.546
Info:Linear Algebra: Total cpu time for bwc: 246018
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Quadratic Characters: Total cpu/real time for characters: 155.51/46.865
Info:Square Root: Total cpu/real time for sqrt: 15925.3/2138.81
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5.04564e+06/777126
4555767242387605257093485195274397573453468693371167237 6958836016072269201059376855229528647657884370985126449771734377415189031701669170740299

cado-nfs-3.0.0

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

5360443099924893168576130555308143986801095248716078940440015410073883391011328459286396782605926961734183350724370591593074699451354850558336367541<148>

2604864000866961077367688444027<31>
2057859104406529255404097678068784747468733410880713070871039782861735411913581127133206348898129767928452882855107983<118>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2658882083
Step 1 took 5997ms
Step 2 took 5459ms
********** Factor found in step 2: 2604864000866961077367688444027
Found probable prime factor of 31 digits: 2604864000866961077367688444027
Probable prime cofactor 2057859104406529255404097678068784747468733410880713070871039782861735411913581127133206348898129767928452882855107983 has 118 digits

GMP-ECM 6.2.1

398988431321238574614780742942869955005701777549737023348588229557292565789204635296188412851088309774566516854739435312671239153246895401057889<144>

532909957499658687338853693037114127<36>
12127492055545606309658842712355349019<38>
61735571024736893980769353536098228900774070762653834895799357457201053<71>

# by ECM --
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=323913398
Step 1 took 6878ms
Step 2 took 5269ms
********** Factor found in step 2: 12127492055545606309658842712355349019
Found probable prime factor of 38 digits: 12127492055545606309658842712355349019
Composite cofactor 32899500531009698487939962220216476251136087124144340859751512031161508952739461583756806371723685945575731 has 107 digits
#
# then by GNFS/Msieve
#
Number: 18883_198
N=32899500531009698487939962220216476251136087124144340859751512031161508952739461583756806371723685945575731
  ( 107 digits)
Divisors found:
 r1=532909957499658687338853693037114127
 r2=61735571024736893980769353536098228900774070762653834895799357457201053
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
name: 18883_198
n: 32899500531009698487939962220216476251136087124144340859751512031161508952739461583756806371723685945575731
skew: 44376.14
# norm 8.55e+14
c5: 8100
c4: -489452472
c3: -48951202463129
c2: 862613667364327251
c1: 36219942136802215898001
c0: -363404921018249872201819607
# alpha -5.93
Y1: 88261732339
Y0: -332462181768746779864
# Murphy_E 1.37e-09
# M 18483838965041290916740587464894868353558034896369087202581405858735878552821000366540532693858814885993829
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 310515 x 310763
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000

total time: 6.00 hours.

GMP-ECM 6.2.1+Msieve-1.36 (GNFS method)

Opteron-2.8GHz; Linux x86_64

140887042118213210889798304440782874134007435006100101044183594049829728484608951058688416039516750674057225616786836078876415756960127682726576603820307834808771778585165738337<177>

62286681846956900102907295197846290557097330653567173757<56>
2261912786819875161781515572586953347240231411229704002188206727822739170798968265669616023784465272634831421245138069941<121>

Number: n
N=140887042118213210889798304440782874134007435006100101044183594049829728484608951058688416039516750674057225616786836078876415756960127682726576603820307834808771778585165738337  ( 177 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Oct 17 05:07:31 2021  p56 factor: 62286681846956900102907295197846290557097330653567173757
Sun Oct 17 05:07:31 2021  p121 factor: 2261912786819875161781515572586953347240231411229704002188206727822739170798968265669616023784465272634831421245138069941
Sun Oct 17 05:07:31 2021  elapsed time 01:47:20 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 17x10^201-53 =18(200)3
#
n: 140887042118213210889798304440782874134007435006100101044183594049829728484608951058688416039516750674057225616786836078876415756960127682726576603820307834808771778585165738337
m: 10000000000000000000000000000000000000000
deg: 5
c5: 170
c0: -53
skew: 0.79
# Murphy_E = 1.071e-11
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10051100 hash collisions in 64736137 relations (57036136 unique)
Msieve: matrix is 2118163 x 2118392 (733.6 MB)

Sieving start time : 2021/10/16 13:47:18
Sieving end time  : 2021/10/17 03:18:36

Total sieving time: 13hrs 31min 18secs.

Total relation processing time: 1hrs 26min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 13sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

1452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991<205>

72457649573627191967068092617281800076348899390145959418999035096130779738065597012116983372353235763<101>
20052975241972329419841738304333078765615896599949798057135869792744965413762216068339020902463546991557<104>

Number: n
N=1452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991
  ( 205 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sat Nov 16 10:23:43 2013  prp101 factor: 72457649573627191967068092617281800076348899390145959418999035096130779738065597012116983372353235763
Sat Nov 16 10:23:43 2013  prp104 factor: 20052975241972329419841738304333078765615896599949798057135869792744965413762216068339020902463546991557
Sat Nov 16 10:23:43 2013  elapsed time 16:42:18 (Msieve 1.44 - dependency 7)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.801).
Factorization parameters were as follows:
#
#  18(204)3
#
#  c205, diff: 206.23
#
skew: 1.255
n: 1452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991452991
m: 100000000000000000000000000000000000000000
deg: 5
c5: 17
c0: -53
# Murphy_E = 9.086e-12
type: snfs
lss: 1
rlim: 19200000
alim: 19200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 19200000/19200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 21600000)
Primes: RFBsize:1222953, AFBsize:1221143,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6533513 hash collisions in 47548333 relations (42682854 unique)
Msieve: matrix is 2865914 x 2866139 (816.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 12hrs 33min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 3hrs 42min 10sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19200000,19200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

732506659893371807195468367442419341747626091206692987046368942061459969969605864710436967075620962078350401964030553901559068310951<132>

7755298072305060446895649192716078812031505588729121693393659<61>
94452418600031097575454731372055844215334319864131017606141348303646789<71>

N = 732506659893371807195468367442419341747626091206692987046368942061459969969605864710436967075620962078350401964030553901559068310951 (132 digits)
Divisors found:
r1=7755298072305060446895649192716078812031505588729121693393659 (pp61)
r2=94452418600031097575454731372055844215334319864131017606141348303646789 (pp71)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 33.35 hours.
Factorization parameters were as follows:
n: 732506659893371807195468367442419341747626091206692987046368942061459969969605864710436967075620962078350401964030553901559068310951
Y0: -40331656907798567857560867
Y1: 294403437211613
c0: 9575405098574595363726775421907200
c1: 14832586957942209958799571110
c2: -24321582893949969439353
c3: -18579954049089350
c4: 8622681484
c5: 6864
skew: 1288108.88
type: gnfs
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20803862
Relations: 2803670 relations
Pruned matrix : 1600560 x 1600791
Polynomial selection time: 0.00 hours.
Total sieving time: 31.08 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 2.07 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,8000000,8000000,28,28,55,55,2.5,2.5,100000
total time: 33.35 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

321523443271632635108852959810953357832297492107101367216454705962593291533960957153796493807105398334389385745094565119350728913405387869343484760348676162986468519800321169766421<180>

68746335798339522306907027300576685910009135079<47>

4676953899256382079496844696862157437837166130900326133895293422267470912515893177724126030834926793122734721084803391239752228878499<133>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=910047128
Step 1 took 270405ms
Step 2 took 71896ms
********** Factor found in step 2: 68746335798339522306907027300576685910009135079
Found probable prime factor of 47 digits: 68746335798339522306907027300576685910009135079

4676953899256382079496844696862157437837166130900326133895293422267470912515893177724126030834926793122734721084803391239752228878499<133>

217804972525775814474682297410169162179951049030912783<54>
21473127289152660342960756380623230019407838660015094282005164347410265695947053<80>

Number: 18883_209
N = 4676953899256382079496844696862157437837166130900326133895293422267470912515893177724126030834926793122734721084803391239752228878499 (133 digits)
Divisors found:
r1=217804972525775814474682297410169162179951049030912783 (pp54)
r2=21473127289152660342960756380623230019407838660015094282005164347410265695947053 (pp80)
Version: Msieve v. 1.51 (SVN 845)
Total time: 133.64 hours.
Factorization parameters were as follows:
# Murphy_E = 5.74e-11, selected by Erik Branger
# expecting poly E from 5.72e-011 to > 6.58e-011
n: 4676953899256382079496844696862157437837166130900326133895293422267470912515893177724126030834926793122734721084803391239752228878499
Y0: -60272166131428898759010353
Y1: 60021942502219
c0: 176740356492883598113222124713380
c1: 1108800169163985286079439708
c2: -10417661149555035140335
c3: -624908097765031
c4: 23974076093
c5: 5880
skew: 652716.43
type: gnfs
# selected mechanically
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21131867
Relations: 2294082 relations
Pruned matrix : 1432588 x 1432814
Polynomial selection time: 0.00 hours.
Total sieving time: 131.34 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.96 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: gnfs,132,5,65,2000,1e-05,0.28,250,20,50000,3600,11600000,11600000,28,28,54,54,2.6,2.6,100000
total time: 133.64 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

262189489520998251154007939710162361201403100614717536309067786181286236415289490222045100840251989627335102768142285993976680908393893791855721608810160487135367422092646767<174>

5072140641026842905031866221676283146995099913730305659<55>
51692077975960581337121366766512649158882726406987979604133062792702661304339725320240635002689250594440666434205894813<119>

Number: 18883_210
N = 262189489520998251154007939710162361201403100614717536309067786181286236415289490222045100840251989627335102768142285993976680908393893791855721608810160487135367422092646767 (174 digits)
SNFS difficulty: 212 digits.
Divisors found:
r1=5072140641026842905031866221676283146995099913730305659 (pp55)
r2=51692077975960581337121366766512649158882726406987979604133062792702661304339725320240635002689250594440666434205894813 (pp119)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 124.24 hours.
Factorization parameters were as follows:
n: 262189489520998251154007939710162361201403100614717536309067786181286236415289490222045100840251989627335102768142285993976680908393893791855721608810160487135367422092646767
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 17
c0: -53
skew: 1.26
# Murphy_E = 5.578e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 44772177
Relations: 7732778 relations
Pruned matrix : 4738692 x 4738917
Total sieving time: 112.76 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 10.97 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: snfs,212,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 124.24 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

11568757136019089099493233695567202358951519564079061504709157246446647169542320790704105082767168061996818169866130262978351163633978135864142849291671804711<158>

15050543289320223395520554615304391<35>
558128536732742851547006153929338903820409354561992627307<57>
1377210415461192217665467467874163764213569436844277345913122080803<67>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4230638252
Step 1 took 7878ms
Step 2 took 5647ms
********** Factor found in step 2: 15050543289320223395520554615304391
Found probable prime factor of 35 digits: 15050543289320223395520554615304391
Composite cofactor 768660433954448064265491733544294944216115290181414202527377400281116582776418993102574717167548238201221368419512718287521 has 123 digits

N = 768660433954448064265491733544294944216115290181414202527377400281116582776418993102574717167548238201221368419512718287521 (123 digits)
Divisors found:
r1=558128536732742851547006153929338903820409354561992627307 (pp57)
r2=1377210415461192217665467467874163764213569436844277345913122080803 (pp67)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 12.06 hours.
Factorization parameters were as follows:
n: 768660433954448064265491733544294944216115290181414202527377400281116582776418993102574717167548238201221368419512718287521
Y0: -724005557497220187455097
Y1: 13865157504181
c0: 462885510001417880954342641792
c1: 63735466641935031929854152
c2: 765324889057720827034
c3: -2919190541882763
c4: -5616920750
c5: 3864
skew: 320078.03 
type: gnfs
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10699460
Relations: 1577962 relations
Pruned matrix : 894428 x 894653
Polynomial selection time: 0.00 hours.
Total sieving time: 11.06 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.63 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,4900000,4900000,27,27,53,53,2.5,2.5,100000
total time: 12.06 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

213312987861091993799716263209298581009982717769261797011580107449535500421109552703181737330574546396887650195002090622384876220783939845107336538709705821887853366834147053384837652675796289076749<198>

104451759043132388510270286801785516651448762503401922547429347469795539178892809898830181377461920640038069907010383564189536015803154246632213457990517749213703767427195612141<177>

1336197525242826070146277407552354837331819613270574104121751864090768096885712616637820821562048484379355386518153869122913771850421137435742750481840950701018376951646718010695449459004220205809167867317<205>

1448541005385274345069103238984563347<37>

922443700437346043646972112858344220951412472672459428271577643555266762889585093455063042817203710185302981836344599825698961709048315037838643038748480900843779951511<168>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3187588546
Step 1 took 100754ms
Step 2 took 35685ms
********** Factor found in step 2: 1448541005385274345069103238984563347
Found probable prime factor of 37 digits: 1448541005385274345069103238984563347

1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883<217>

3999095055329148761148702200781604432447579469563<49>
472329080143213139329903776895616720711678511965878774688815312366584925736026512908785991547895371912158851890125756973422751153695729516488018981078943242404491673641<168>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1174788220
Step 1 took 78368ms
Step 2 took 37705ms
********** Factor found in step 2: 3999095055329148761148702200781604432447579469563
Found probable prime factor of 49 digits: 3999095055329148761148702200781604432447579469563
Probable prime cofactor 

9805418001994920918890804541996755987911785135398855929355760900753017138294926600680995834935260861591760744999824372530468194635659815976017406055170723965143495295188015602299279<181>

80946727120250699289683679070686651969809<41>
121134211979051941414568016346944997964937885204548546875733854121375511447899796652173614093725348903239029754352133994735118760240053532831<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3258512632
Step 1 took 23192ms
Step 2 took 8963ms
********** Factor found in step 2: 80946727120250699289683679070686651969809
Found probable prime factor of 41 digits: 80946727120250699289683679070686651969809

2274021234998482219961847640471042449931958939090904891723504626594008845391221032586095148092945337883000631074017045517698417581188306666068798454419080469814192049080079047716557431466981<190>

66416024790299040733626866655778765640051397614230712970234415928821292238161733630133163912727617071890789694949604174063725707450918582520621<143>

86255488975098542358276214306498693<35>
769991864627571244018131383211284908100159706843202100419123539737436026199200298261554103583636071056501897<108>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2704494847
Step 1 took 6583ms
Step 2 took 5070ms
********** Factor found in step 2: 86255488975098542358276214306498693
Found probable prime factor of 35 digits: 86255488975098542358276214306498693
Probable prime cofactor 769991864627571244018131383211284908100159706843202100419123539737436026199200298261554103583636071056501897 has 108 digits

GMP-ECM 6.3

55076070763153301781492920774534397508366889239973727395158312656718894991175143833005942889323910862583219524453609783308208302639799744485369820183824656121349103013188093362689125371<185>

53737210010240993810435380041751<32>

1024914965861777229593420859215450529763289426858344943191336846997433056411378835201536967054481373800213649524971162623230352478736657828840323291698621<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1062321696
Step 1 took 22950ms
Step 2 took 9280ms
********** Factor found in step 2: 53737210010240993810435380041751
Found probable prime factor of 32 digits: 53737210010240993810435380041751

1024914965861777229593420859215450529763289426858344943191336846997433056411378835201536967054481373800213649524971162623230352478736657828840323291698621<154>

616646846562423258656534204310753823850546027902116660508257580889<66>
1662077689321362521693620220842209458854002700307477919846077391533421631363215328995589<88>

Number: 18883_222
N = 1024914965861777229593420859215450529763289426858344943191336846997433056411378835201536967054481373800213649524971162623230352478736657828840323291698621 (154 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=616646846562423258656534204310753823850546027902116660508257580889 (pp66)
r2=1662077689321362521693620220842209458854002700307477919846077391533421631363215328995589 (pp88)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 57.90 hours.
Factorization parameters were as follows:
n: 1024914965861777229593420859215450529763289426858344943191336846997433056411378835201536967054481373800213649524971162623230352478736657828840323291698621
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1700
c0: -53
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31114625
Relations: 11574188 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 22.86 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 9861396 x 9861621
Matrix solve time: 34.55 hours.
time per square root: 0.22 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 57.90 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

179385010013646965037158053091230053698362376622701403809760083218610581013607257458203551693498687146275953020173294957089987455759993251308842968042723379314063807776952176102170374860216076238255375230854050247161<216>

1916852202521324638451086973036806446192655091<46>
93583120168416499933276387172482172293502845550067628029349018081090286521271936645560088493618154652413942924925252118371307279616886728083602731005334428795150892892771<170>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=885678387
Step 1 took 91833ms
Step 2 took 29884ms
********** Factor found in step 2: 1916852202521324638451086973036806446192655091
Found probable prime factor of 46 digits: 1916852202521324638451086973036806446192655091

1237174535783117548823885141646941648263192449907991479136941516106372182278442776912116517104372496908105086389469503513460567978766597880779738361810638691853<160>

121148747097075615035854791750849110197411991<45>
10212029141265311965393112371404685827637194748511288331824587594630878760555849384986233732959668757695811917522683<116>

Z:\ALL\ECM>gmpecm-svn3027-sandybridge\ecm -primetest -one -sigma 1:2693827860 43e6      
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 1237174535783117548823885141646941648263192449907991479136941516106372182278442776912116517104372496908105086389469503513460567978766597880779738361810638691853 (160 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2693827860
Step 1 took 103860ms
Step 2 took 39250ms
********** Factor found in step 2: 121148747097075615035854791750849110197411991
Found prime factor of 45 digits: 121148747097075615035854791750849110197411991
Prime cofactor 10212029141265311965393112371404685827637194748511288331824587594630878760555849384986233732959668757695811917522683 has 116 digits

80095005248112402388525333744235874862196858264026635811243326883964678747904992951241994232032834091380564032891876017040834923013376477557215504163572021713198866526252874918308277776042122903803<197>

8996430214803795137353875586919270930366851160820096332086182444301277517441544951820626855860029413053143355727584393757280664559448271445140239649292248281473<160>

130523647244554649532488901881157227738131<42>
68925672893186177667635654905095026221501305400102486357716058753045149254081763041161015110396841411766000046717398683<119>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4080953491
Step 1 took 99981ms
Step 2 took 33247ms
********** Factor found in step 2: 130523647244554649532488901881157227738131
Found probable prime factor of 42 digits: 130523647244554649532488901881157227738131

2899599480229509898069538901993468587231455408539679257395445387863961965947903094185420334609231946554687710509907804605296023614424863785521810009425846100878950044144371895246800315615677096073571811885455770643921<217>

1001038490273960082528866756604679800063350756915442010662159838157304151970555451895872421358582799335324423248867048117208941433596687087247803920688036492194222150503363674992108417053466677972521249<202>

282981287656730476677374183964993949028176070255763310535321002920880969034677051963675934531164479113447395345878625471967692055294766333980698805267762368316898267259093184847571605706111542979<195>

50181645087333383156628146920327049<35>

5639139314070819366085390109359005071945786175234459473654945315780155047096521614531231071718275072007377854110518838015295792806082136300275950458670364302571<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4158134439
Step 1 took 26703ms
Step 2 took 9964ms
********** Factor found in step 2: 50181645087333383156628146920327049
Found probable prime factor of 35 digits: 50181645087333383156628146920327049

5639139314070819366085390109359005071945786175234459473654945315780155047096521614531231071718275072007377854110518838015295792806082136300275950458670364302571<160>

5032486226481411466191155408257297535129847311359787111783<58>
1120547391545185523451633913556926412641349207562222652623531467469508172193571038097371106932318070237<103>

Thu Dec  5 12:55:48 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Dec  5 12:55:48 2024  random seeds: 564ee7a5 e1c38d9c
Thu Dec  5 12:55:48 2024  Using 20 OpenMP threads
Thu Dec  5 12:55:48 2024  factoring 5639139314070819366085390109359005071945786175234459473654945315780155047096521614531231071718275072007377854110518838015295792806082136300275950458670364302571 (160 digits)
Thu Dec  5 12:55:49 2024  searching for 15-digit factors
Thu Dec  5 12:55:50 2024  commencing number field sieve (160-digit input)
Thu Dec  5 12:55:50 2024  R0: -9586087421509948274621927478607
Thu Dec  5 12:55:50 2024  R1: 10741839422819977558333
Thu Dec  5 12:55:50 2024  A0: -82384641150122504012159611564012045620
Thu Dec  5 12:55:50 2024  A1: 44066301556063865178465452295384
Thu Dec  5 12:55:50 2024  A2: 62291704423444249550009211
Thu Dec  5 12:55:50 2024  A3: 2681813981466236939
Thu Dec  5 12:55:50 2024  A4: -3530592510394
Thu Dec  5 12:55:50 2024  A5: 143280
Thu Dec  5 12:55:50 2024  skew 1.00, size 1.596e-15, alpha -6.562, combined = 1.011e-14 rroots = 5
Thu Dec  5 12:55:50 2024
Thu Dec  5 12:55:50 2024  commencing relation filtering
Thu Dec  5 12:55:50 2024  setting target matrix density to 70.0
Thu Dec  5 12:55:50 2024  estimated available RAM is 64320.1 MB
Thu Dec  5 12:55:50 2024  commencing duplicate removal, pass 1
Thu Dec  5 12:59:52 2024  found 3158833 hash collisions in 60413082 relations
Thu Dec  5 13:00:39 2024  added 121556 free relations
Thu Dec  5 13:00:39 2024  commencing duplicate removal, pass 2
Thu Dec  5 13:01:04 2024  found 0 duplicates and 60534638 unique relations
Thu Dec  5 13:01:04 2024  memory use: 197.2 MB
Thu Dec  5 13:01:04 2024  reading ideals above 720000
Thu Dec  5 13:01:04 2024  commencing singleton removal, initial pass
Thu Dec  5 13:07:30 2024  memory use: 1506.0 MB
Thu Dec  5 13:07:30 2024  reading all ideals from disk
Thu Dec  5 13:07:32 2024  memory use: 2644.8 MB
Thu Dec  5 13:07:42 2024  keeping 67179821 ideals with weight <= 200, target excess is 358008
Thu Dec  5 13:07:54 2024  commencing in-memory singleton removal
Thu Dec  5 13:07:57 2024  begin with 60534638 relations and 67179821 unique ideals
Thu Dec  5 13:08:09 2024  reduce to 19555837 relations and 19100845 ideals in 17 passes
Thu Dec  5 13:08:09 2024  max relations containing the same ideal: 93
Thu Dec  5 13:08:20 2024  removing 300256 relations and 280405 ideals in 19851 cliques
Thu Dec  5 13:08:21 2024  commencing in-memory singleton removal
Thu Dec  5 13:08:22 2024  begin with 19255581 relations and 19100845 unique ideals
Thu Dec  5 13:08:25 2024  reduce to 19252458 relations and 18817314 ideals in 7 passes
Thu Dec  5 13:08:25 2024  max relations containing the same ideal: 93
Thu Dec  5 13:08:37 2024  removing 225281 relations and 205430 ideals in 19851 cliques
Thu Dec  5 13:08:37 2024  commencing in-memory singleton removal
Thu Dec  5 13:08:38 2024  begin with 19027177 relations and 18817314 unique ideals
Thu Dec  5 13:08:41 2024  reduce to 19025168 relations and 18609870 ideals in 6 passes
Thu Dec  5 13:08:41 2024  max relations containing the same ideal: 92
Thu Dec  5 13:08:45 2024  relations with 0 large ideals: 1157
Thu Dec  5 13:08:45 2024  relations with 1 large ideals: 5519
Thu Dec  5 13:08:45 2024  relations with 2 large ideals: 82002
Thu Dec  5 13:08:45 2024  relations with 3 large ideals: 540685
Thu Dec  5 13:08:45 2024  relations with 4 large ideals: 1947796
Thu Dec  5 13:08:45 2024  relations with 5 large ideals: 4113880
Thu Dec  5 13:08:45 2024  relations with 6 large ideals: 5343719
Thu Dec  5 13:08:45 2024  relations with 7+ large ideals: 6990410
Thu Dec  5 13:08:45 2024  commencing 2-way merge
Thu Dec  5 13:09:01 2024  reduce to 11239076 relation sets and 10823778 unique ideals
Thu Dec  5 13:09:01 2024  commencing full merge
Thu Dec  5 13:12:40 2024  memory use: 1242.2 MB
Thu Dec  5 13:12:43 2024  found 6113091 cycles, need 6059978
Thu Dec  5 13:12:46 2024  weight of 6059978 cycles is about 424286405 (70.01/cycle)
Thu Dec  5 13:12:46 2024  distribution of cycle lengths:
Thu Dec  5 13:12:46 2024  1 relations: 784328
Thu Dec  5 13:12:46 2024  2 relations: 870190
Thu Dec  5 13:12:46 2024  3 relations: 866251
Thu Dec  5 13:12:46 2024  4 relations: 744776
Thu Dec  5 13:12:46 2024  5 relations: 606779
Thu Dec  5 13:12:46 2024  6 relations: 491275
Thu Dec  5 13:12:46 2024  7 relations: 388577
Thu Dec  5 13:12:46 2024  8 relations: 300945
Thu Dec  5 13:12:46 2024  9 relations: 232890
Thu Dec  5 13:12:46 2024  10+ relations: 773967
Thu Dec  5 13:12:46 2024  heaviest cycle: 23 relations
Thu Dec  5 13:12:48 2024  commencing cycle optimization
Thu Dec  5 13:13:01 2024  start with 31229936 relations
Thu Dec  5 13:13:54 2024  pruned 590803 relations
Thu Dec  5 13:13:55 2024  memory use: 1090.6 MB
Thu Dec  5 13:13:55 2024  distribution of cycle lengths:
Thu Dec  5 13:13:55 2024  1 relations: 784328
Thu Dec  5 13:13:55 2024  2 relations: 887554
Thu Dec  5 13:13:55 2024  3 relations: 893034
Thu Dec  5 13:13:55 2024  4 relations: 756536
Thu Dec  5 13:13:55 2024  5 relations: 614082
Thu Dec  5 13:13:55 2024  6 relations: 490302
Thu Dec  5 13:13:55 2024  7 relations: 384574
Thu Dec  5 13:13:55 2024  8 relations: 294320
Thu Dec  5 13:13:55 2024  9 relations: 225981
Thu Dec  5 13:13:55 2024  10+ relations: 729267
Thu Dec  5 13:13:55 2024  heaviest cycle: 23 relations
Thu Dec  5 13:14:06 2024  RelProcTime: 1096
Thu Dec  5 13:14:08 2024  elapsed time 00:18:20
Thu Dec  5 13:14:09 2024
Thu Dec  5 13:14:09 2024
Thu Dec  5 13:14:09 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Dec  5 13:14:09 2024  random seeds: 2d2d76f1 94a256fc
Thu Dec  5 13:14:09 2024  factoring 5639139314070819366085390109359005071945786175234459473654945315780155047096521614531231071718275072007377854110518838015295792806082136300275950458670364302571 (160 digits)
Thu Dec  5 13:14:10 2024  searching for 15-digit factors
Thu Dec  5 13:14:10 2024  commencing number field sieve (160-digit input)
Thu Dec  5 13:14:10 2024  R0: -9586087421509948274621927478607
Thu Dec  5 13:14:10 2024  R1: 10741839422819977558333
Thu Dec  5 13:14:10 2024  A0: -82384641150122504012159611564012045620
Thu Dec  5 13:14:10 2024  A1: 44066301556063865178465452295384
Thu Dec  5 13:14:10 2024  A2: 62291704423444249550009211
Thu Dec  5 13:14:10 2024  A3: 2681813981466236939
Thu Dec  5 13:14:10 2024  A4: -3530592510394
Thu Dec  5 13:14:10 2024  A5: 143280
Thu Dec  5 13:14:10 2024  skew 1.00, size 1.596e-15, alpha -6.562, combined = 1.011e-14 rroots = 5
Thu Dec  5 13:14:10 2024
Thu Dec  5 13:14:10 2024  commencing linear algebra
Thu Dec  5 13:14:10 2024  using VBITS=64
Thu Dec  5 13:14:12 2024  read 6059978 cycles
Thu Dec  5 13:14:24 2024  cycles contain 18536646 unique relations
Thu Dec  5 13:15:45 2024  read 18536646 relations
Thu Dec  5 13:16:11 2024  using 20 quadratic characters above 4294917295
Thu Dec  5 13:17:49 2024  building initial matrix
Thu Dec  5 13:20:40 2024  memory use: 2538.0 MB
Thu Dec  5 13:20:42 2024  read 6059978 cycles
Thu Dec  5 13:20:44 2024  matrix is 6059793 x 6059978 (1825.8 MB) with weight 569871869 (94.04/col)
Thu Dec  5 13:20:44 2024  sparse part has weight 411968167 (67.98/col)
Thu Dec  5 13:21:48 2024  filtering completed in 2 passes
Thu Dec  5 13:21:49 2024  matrix is 6050557 x 6050741 (1825.0 MB) with weight 569510004 (94.12/col)
Thu Dec  5 13:21:49 2024  sparse part has weight 411860782 (68.07/col)
Thu Dec  5 13:22:20 2024  matrix starts at (0, 0)
Thu Dec  5 13:22:21 2024  matrix is 6050557 x 6050741 (1825.0 MB) with weight 569510004 (94.12/col)
Thu Dec  5 13:22:21 2024  sparse part has weight 411860782 (68.07/col)
Thu Dec  5 13:22:21 2024  saving the first 48 matrix rows for later
Thu Dec  5 13:22:22 2024  matrix includes 64 packed rows
Thu Dec  5 13:22:23 2024  matrix is 6050509 x 6050741 (1769.0 MB) with weight 453044830 (74.87/col)
Thu Dec  5 13:22:23 2024  sparse part has weight 403212577 (66.64/col)
Thu Dec  5 13:22:23 2024  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Thu Dec  5 13:22:38 2024  commencing Lanczos iteration (8 threads)
Thu Dec  5 13:22:38 2024  memory use: 1718.7 MB
Thu Dec  5 13:22:51 2024  checkpointing every 590000 dimensions
Thu Dec  5 13:23:24 2024  linear algebra at 0.1%, ETA 9h58m
Thu Dec  5 15:51:52 2024  lanczos halted after 24629 iterations (dim = 1557448)
Thu Dec  5 15:51:52 2024  BLanczosTime: 9462
Thu Dec  5 15:51:52 2024  elapsed time 02:37:43
Thu Dec  5 15:51:52 2024
Thu Dec  5 15:51:52 2024
Thu Dec  5 15:51:52 2024  Msieve v. 1.54 (SVN Unversioned directory)
Thu Dec  5 15:51:52 2024  random seeds: 59575f31 9e144843
Thu Dec  5 15:51:52 2024  factoring 5639139314070819366085390109359005071945786175234459473654945315780155047096521614531231071718275072007377854110518838015295792806082136300275950458670364302571 (160 digits)
Thu Dec  5 15:51:53 2024  searching for 15-digit factors
Thu Dec  5 15:51:53 2024  commencing number field sieve (160-digit input)
Thu Dec  5 15:51:53 2024  R0: -9586087421509948274621927478607
Thu Dec  5 15:51:53 2024  R1: 10741839422819977558333
Thu Dec  5 15:51:53 2024  A0: -82384641150122504012159611564012045620
Thu Dec  5 15:51:53 2024  A1: 44066301556063865178465452295384
Thu Dec  5 15:51:53 2024  A2: 62291704423444249550009211
Thu Dec  5 15:51:53 2024  A3: 2681813981466236939
Thu Dec  5 15:51:53 2024  A4: -3530592510394
Thu Dec  5 15:51:53 2024  A5: 143280
Thu Dec  5 15:51:53 2024  skew 1.00, size 1.596e-15, alpha -6.562, combined = 1.011e-14 rroots = 5
Thu Dec  5 15:51:53 2024
Thu Dec  5 15:51:53 2024  commencing square root phase
Thu Dec  5 15:51:53 2024  reading relations for dependency 1
Thu Dec  5 15:51:54 2024  read 3026468 cycles
Thu Dec  5 15:51:57 2024  cycles contain 9268536 unique relations
Thu Dec  5 15:52:05 2024  read 9268536 relations
Thu Dec  5 15:52:49 2024  multiplying 9268536 relations
Thu Dec  5 15:57:52 2024  multiply complete, coefficients have about 500.46 million bits
Thu Dec  5 15:57:54 2024  initial square root is modulo 954804797
Thu Dec  5 16:01:13 2024  sqrtTime: 560
Thu Dec  5 16:01:13 2024  p58 factor: 5032486226481411466191155408257297535129847311359787111783
Thu Dec  5 16:01:13 2024  p103 factor: 1120547391545185523451633913556926412641349207562222652623531467469508172193571038097371106932318070237
Thu Dec  5 16:01:13 2024  elapsed time 00:09:21

CADO-NFS (poly + sieving) / Msieve (LA + SR)

3313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419103313840155945419<232>

1200843925861751790403520991276819469609071316210889592860124522380247049894901897913744190498913619956365859514995668443081150377161733852187998448229369921740327625529778439285750555350112917372603708992570175283528651<220>

3138077543116030864552169032063959889<37>
382668659191048681820468414254349331719846191807561934197964088192849600558672830258589635795310942754347929312965836627381445625356109873815317002413116674965761196234426517093856859<183>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1522804401
Step 1 took 30519ms
Step 2 took 5558ms
********** Factor found in step 2: 3138077543116030864552169032063959889
Found probable prime factor of 37 digits: 3138077543116030864552169032063959889

8440788378033524937127687852522718903644785835746993931789537194528665110711763551802921116816712910311879321995107892499652211347572272145981264181142242669295420466762752782480084282378339083501765164538720100479538169<220>

185321070480342787593996434442144258367913175637<48>

45546835857117762353916637741133074874126311089853107111659902920741882219936281671278392320861956562868572548804740278448112161991676976694486785252550306463017156226690837<173>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2612195586
Step 1 took 444623ms
Step 2 took 103806ms
********** Factor found in step 2: 185321070480342787593996434442144258367913175637
Found probable prime factor of 48 digits: 185321070480342787593996434442144258367913175637
Composite cofactor 45546835857117762353916637741133074874126311089853107111659902920741882219936281671278392320861956562868572548804740278448112161991676976694486785252550306463017156226690837 has 173 digits

269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269841269<237>

124435969484680425491115093361898139956502086267<48>

2168515027919564437625823864517047311815963860156218118502690657401825467197157959248074226915169783243604677588173093898457592959269794068741594948175026780878946086703453511438712116352207<190>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=1139954734
Step 1 took 330683ms
Step 2 took 175794ms
********** Factor found in step 2: 124435969484680425491115093361898139956502086267
Found probable prime factor of 48 digits: 124435969484680425491115093361898139956502086267
Composite cofactor 

173397600950347569919166688007353294098398252341647581516909702241013232202457665157566548144283889351323983680513848198547059800502484473501908123328784312600866545649876455016927674431873361242996194017<204>

149737133376536667336532201441349497177508461507137011271941085073587495269836181052507383112612965919301608453755683733753026809168839710131656605985940180220881531486670428294254212596882839907521<198>

184135186013202764396231233425926046872839221342213665698634812428942006023955311470757531377057636173319723568616349130162290581607011961581945595944463037245560164435528281895506688920297962808241174539825503924810073013013611<228>

1639280061701654541364693629490173117474229<43>

112326862453302365420904327784030100474792622543720966853307871002809785691494138019518937551622930775017627827856232130841632409451596838975009193296628160180802402717039110666833132959<186>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3700639392
Step 1 took 407896ms
Step 2 took 101241ms
********** Factor found in step 2: 1639280061701654541364693629490173117474229
Found probable prime factor of 43 digits: 1639280061701654541364693629490173117474229

5197168166940879573065097830741131163073267821999477719244110833184218454230683632034266331275762218732440668877447215261637731820791425392307572072604892409540478572695339452611770356863089557783127680990646659666286293446989<226>

2926327654881343652336350526390829648325236726660757893270348476494688750117057747847529998298893086915467303263495810728772146099959795558835386754843924047711871<163>

63566125262047322608845699021925050477410538590077958719<56>
46035960864654615395039532996452489010012366418755012158223069645079121165013820348696230261229943466908609<107>

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.09379e+07/354606 [4d 02:30:06]
46035960864654615395039532996452489010012366418755012158223069645079121165013820348696230261229943466908609 63566125262047322608845699021925050477410538590077958719

cado-nfs

ubuntu

747439357658406860596603792592586282108486131006234636330098409991358065172033779651874048509604764614802831858449491678469559252603744636244077554800683245853394983351685015676641387423639944474062963463181215395404206723585847<228>

181586755892247049630509776446573846952397861147453166497551517632736220392936596556401174022461148605018292377744976245036217748734183720376209763202661848910041149644194705103046447023389594453896479026538367<210>

78758410613194351561690387047381271686573487321549653020724687458800087214494455351000896834893292187481668079673069845603167282751696772625595550281916972977210172742278440157370024043604839405285756463551646650748563<218>

55616452217424602846882155053588826673641873278512578990314991736166431853023253630052722660560148186691201347458387783008721658294449182501415374123345662669040100197613702240224979974473093163526105500455106194131344240537699<227>

334071487174412483329305978330098492143083452328039643344721505586867432189954100146654658304827259665431458803405272110572472414291572614871285226254166213497194765704248947042897115941438001639993600208997359915571019288295741<228>