4334201170019887212757136278967289763497618984157758520106755541166969075712698056910874692340579012291<103>

3337089450937904685056902869759131185338950859791<49>
1298796820924815062861063233533242770022606282492927501<55>

Number: 24449_112
N=4334201170019887212757136278967289763497618984157758520106755541166969075712698056910874692340579012291
  ( 103 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=3337089450937904685056902869759131185338950859791
 r2=1298796820924815062861063233533242770022606282492927501
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
n: 4334201170019887212757136278967289763497618984157758520106755541166969075712698056910874692340579012291
Y1: 1
Y0: -10000000000000000000000
c5: 2200
c0: 41
skew: 0.45
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 400001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85491 x 85712
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000

total time: 0.90 hours.

Msieve 1.36

Opteron-2.8GHz; Linux x86_64

40924217649870995704817338474903223526216611884020767180265598172547662762124264526702121920685145811127294779<110>

36786423298913986934702187003334911349<38>
1112481561942967290761054206790315374836962739575611381377759806988761071<73>

Number: n
N=40924217649870995704817338474903223526216611884020767180265598172547662762124264526702121920685145811127294779
  ( 110 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=36786423298913986934702187003334911349 (pp38)
 r2=1112481561942967290761054206790315374836962739575611381377759806988761071 (pp73)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 1.32 hours.
Scaled time: 1.73 units (timescale=1.308).
Factorization parameters were as follows:
name: KA_2_4_113_9
n: 40924217649870995704817338474903223526216611884020767180265598172547662762124264526702121920685145811127294779
skew: 1.80
deg: 5
c5: 11
c0: 205
m: 100000000000000000000000
type: snfs
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:41538, AFBsize:41594, largePrimes:3882954 encountered
Relations: rels:3287386, finalFF:111057
Max relations in full relation-set: 28
Initial matrix: 83197 x 111057 with sparse part having weight 8625133.
Pruned matrix : 74572 x 75051 with weight 4207667.
Total sieving time: 1.16 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.06 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,500000,500000,28,28,50,50,2.5,2.5,50000
total time: 1.32 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6909829512562814960843460860887417512953556989063562541544742552648533771432775918691962241<91>

47566566335345876577853460008460440738421<41>
145266519005140854768685462486158749326268729347421<51>

Fri Jul 18 14:36:07 2008  Msieve v. 1.36
Fri Jul 18 14:36:07 2008  random seeds: 02092aa2 9098e17e
Fri Jul 18 14:36:07 2008  factoring 6909829512562814960843460860887417512953556989063562541544742552648533771432775918691962241 (91 digits)
Fri Jul 18 14:36:08 2008  no P-1/P+1/ECM available, skipping
Fri Jul 18 14:36:08 2008  commencing quadratic sieve (91-digit input)
Fri Jul 18 14:36:08 2008  using multiplier of 1
Fri Jul 18 14:36:08 2008  using 64kb Pentium 4 sieve core
Fri Jul 18 14:36:08 2008  sieve interval: 18 blocks of size 65536
Fri Jul 18 14:36:08 2008  processing polynomials in batches of 6
Fri Jul 18 14:36:08 2008  using a sieve bound of 1719241 (64706 primes)
Fri Jul 18 14:36:08 2008  using large prime bound of 165047136 (27 bits)
Fri Jul 18 14:36:08 2008  using double large prime bound of 619005322436736 (42-50 bits)
Fri Jul 18 14:36:08 2008  using trial factoring cutoff of 50 bits
Fri Jul 18 14:36:08 2008  polynomial 'A' values have 12 factors
Fri Jul 18 17:27:51 2008  65119 relations (16691 full + 48428 combined from 768023 partial), need 64802
Fri Jul 18 17:27:53 2008  begin with 784714 relations
Fri Jul 18 17:27:54 2008  reduce to 163266 relations in 10 passes
Fri Jul 18 17:27:54 2008  attempting to read 163266 relations
Fri Jul 18 17:27:59 2008  recovered 163266 relations
Fri Jul 18 17:27:59 2008  recovered 143283 polynomials
Fri Jul 18 17:27:59 2008  attempting to build 65119 cycles
Fri Jul 18 17:27:59 2008  found 65119 cycles in 5 passes
Fri Jul 18 17:27:59 2008  distribution of cycle lengths:
Fri Jul 18 17:27:59 2008     length 1 : 16691
Fri Jul 18 17:27:59 2008     length 2 : 12043
Fri Jul 18 17:27:59 2008     length 3 : 11400
Fri Jul 18 17:27:59 2008     length 4 : 8911
Fri Jul 18 17:27:59 2008     length 5 : 6291
Fri Jul 18 17:27:59 2008     length 6 : 3993
Fri Jul 18 17:27:59 2008     length 7 : 2570
Fri Jul 18 17:27:59 2008     length 9+: 3220
Fri Jul 18 17:27:59 2008  largest cycle: 19 relations
Fri Jul 18 17:27:59 2008  matrix is 64706 x 65119 (16.1 MB) with weight 3956681 (60.76/col)
Fri Jul 18 17:27:59 2008  sparse part has weight 3956681 (60.76/col)
Fri Jul 18 17:28:01 2008  filtering completed in 3 passes
Fri Jul 18 17:28:01 2008  matrix is 60964 x 61028 (15.1 MB) with weight 3719537 (60.95/col)
Fri Jul 18 17:28:01 2008  sparse part has weight 3719537 (60.95/col)
Fri Jul 18 17:28:01 2008  saving the first 48 matrix rows for later
Fri Jul 18 17:28:01 2008  matrix is 60916 x 61028 (9.7 MB) with weight 2948615 (48.32/col)
Fri Jul 18 17:28:01 2008  sparse part has weight 2173245 (35.61/col)
Fri Jul 18 17:28:01 2008  matrix includes 64 packed rows
Fri Jul 18 17:28:01 2008  using block size 21845 for processor cache size 512 kB
Fri Jul 18 17:28:02 2008  commencing Lanczos iteration
Fri Jul 18 17:28:02 2008  memory use: 9.4 MB
Fri Jul 18 17:28:40 2008  lanczos halted after 965 iterations (dim = 60913)
Fri Jul 18 17:28:40 2008  recovered 15 nontrivial dependencies
Fri Jul 18 17:28:42 2008  prp41 factor: 47566566335345876577853460008460440738421
Fri Jul 18 17:28:42 2008  prp51 factor: 145266519005140854768685462486158749326268729347421
Fri Jul 18 17:28:42 2008  elapsed time 02:52:35

Pentium 4 2.46GHz, Windows XP and Cygwin)

80414429785366873756397237324162557271658995122046202935508783138144456898631522252449895246859675082857703<107>

25062368393601465451556297653785029<35>
3208572650535973954961225795597759882808586084195449958716499723851512507<73>

Number: 24449_121
N=80414429785366873756397237324162557271658995122046202935508783138144456898631522252449895246859675082857703
  ( 107 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=25062368393601465451556297653785029
 r2=3208572650535973954961225795597759882808586084195449958716499723851512507
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
n: 80414429785366873756397237324162557271658995122046202935508783138144456898631522252449895246859675082857703
Y1: 1
Y0: -1000000000000000000000000
c5: 220
c0: 41
skew: 0.71
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102792 x 103019
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000

total time: 1.10 hours.

Msieve 1.36

Opteron-2.8GHz; Linux x86_64

581167740448851748884915075302866508210009792004549285245839702179434977036441317607334544497<93>

2479394702744903130958322262280605137<37>
234399040945537669940119153419177139386619105466093573281<57>

Fri Jul 18 17:41:27 2008  Msieve v. 1.36
Fri Jul 18 17:41:27 2008  random seeds: f13eb197 24f0b957
Fri Jul 18 17:41:27 2008  factoring 581167740448851748884915075302866508210009792004549285245839702179434977036441317607334544497 (93 digits)
Fri Jul 18 17:41:28 2008  no P-1/P+1/ECM available, skipping
Fri Jul 18 17:41:28 2008  commencing quadratic sieve (93-digit input)
Fri Jul 18 17:41:29 2008  using multiplier of 17
Fri Jul 18 17:41:29 2008  using 64kb Pentium 4 sieve core
Fri Jul 18 17:41:29 2008  sieve interval: 18 blocks of size 65536
Fri Jul 18 17:41:29 2008  processing polynomials in batches of 6
Fri Jul 18 17:41:29 2008  using a sieve bound of 1956901 (72801 primes)
Fri Jul 18 17:41:29 2008  using large prime bound of 244612625 (27 bits)
Fri Jul 18 17:41:29 2008  using double large prime bound of 1256787622996125 (42-51 bits)
Fri Jul 18 17:41:29 2008  using trial factoring cutoff of 51 bits
Fri Jul 18 17:41:29 2008  polynomial 'A' values have 12 factors
Fri Jul 18 21:47:43 2008  73312 relations (18883 full + 54429 combined from 988028 partial), need 72897
Fri Jul 18 21:47:46 2008  begin with 1006911 relations
Fri Jul 18 21:47:47 2008  reduce to 185758 relations in 11 passes
Fri Jul 18 21:47:47 2008  attempting to read 185758 relations
Fri Jul 18 21:47:53 2008  recovered 185758 relations
Fri Jul 18 21:47:53 2008  recovered 166149 polynomials
Fri Jul 18 21:47:54 2008  attempting to build 73312 cycles
Fri Jul 18 21:47:54 2008  found 73312 cycles in 5 passes
Fri Jul 18 21:47:54 2008  distribution of cycle lengths:
Fri Jul 18 21:47:54 2008     length 1 : 18883
Fri Jul 18 21:47:54 2008     length 2 : 13309
Fri Jul 18 21:47:54 2008     length 3 : 12540
Fri Jul 18 21:47:54 2008     length 4 : 9829
Fri Jul 18 21:47:54 2008     length 5 : 7230
Fri Jul 18 21:47:54 2008     length 6 : 4642
Fri Jul 18 21:47:54 2008     length 7 : 3012
Fri Jul 18 21:47:54 2008     length 9+: 3867
Fri Jul 18 21:47:54 2008  largest cycle: 18 relations
Fri Jul 18 21:47:54 2008  matrix is 72801 x 73312 (18.6 MB) with weight 4575927 (62.42/col)
Fri Jul 18 21:47:54 2008  sparse part has weight 4575927 (62.42/col)
Fri Jul 18 21:47:56 2008  filtering completed in 3 passes
Fri Jul 18 21:47:56 2008  matrix is 68635 x 68698 (17.4 MB) with weight 4293577 (62.50/col)
Fri Jul 18 21:47:56 2008  sparse part has weight 4293577 (62.50/col)
Fri Jul 18 21:47:56 2008  saving the first 48 matrix rows for later
Fri Jul 18 21:47:56 2008  matrix is 68587 x 68698 (10.7 MB) with weight 3329385 (48.46/col)
Fri Jul 18 21:47:56 2008  sparse part has weight 2391376 (34.81/col)
Fri Jul 18 21:47:56 2008  matrix includes 64 packed rows
Fri Jul 18 21:47:56 2008  using block size 21845 for processor cache size 512 kB
Fri Jul 18 21:47:57 2008  commencing Lanczos iteration
Fri Jul 18 21:47:57 2008  memory use: 10.6 MB
Fri Jul 18 21:48:46 2008  lanczos halted after 1086 iterations (dim = 68583)
Fri Jul 18 21:48:46 2008  recovered 14 nontrivial dependencies
Fri Jul 18 21:48:50 2008  prp37 factor: 2479394702744903130958322262280605137
Fri Jul 18 21:48:50 2008  prp57 factor: 234399040945537669940119153419177139386619105466093573281
Fri Jul 18 21:48:50 2008  elapsed time 04:07:23

Pentium 4 2.4GHz, Windows XP and Cygwin)

100126808572733115407265768687104706994208154545606935763180307762670237276133390020346490241<93>

2404106623587392833380957646953757<34>
41648239554086215738636228680214783731775995314642888620213<59>

Using B1=1000000, B2=5704990210, polynomial Dickson(6), sigma=788304040
Step 1 took 3693ms
Step 2 took 5147ms
********** Factor found in step 2: 2404106623587392833380957646953757
Found probable prime factor of 34 digits: 2404106623587392833380957646953757
Probable prime cofactor 41648239554086215738636228680214783731775995314642888620213 has 59 digits

GMP-ECM 6.2.1

32200295195231201928016100696302700640882428532911810849451125545002608542514077028819913722191<95>

38341155108220418699692555245493<32>
839836335247171403374568311996768228503199306945428622409955187<63>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 32200295195231201928016100696302700640882428532911810849451125545002608542514077028819913722191 (95 digits)
Using B1=576000, B2=382551156, polynomial Dickson(3), sigma=538349306
Step 1 took 4859ms
Step 2 took 3407ms
********** Factor found in step 2: 38341155108220418699692555245493
Found probable prime factor of 32 digits: 38341155108220418699692555245493
Probable prime cofactor 839836335247171403374568311996768228503199306945428622409955187 has 63 digits

3183180143742841983978949218813441515939722303188901929973696523261819759463827185617358748512273<97>

2065104407058693668461888789327799<34>
1541413660666489857341708687188271597185167763339609496930078327<64>

Number: n
N=3183180143742841983978949218813441515939722303188901929973696523261819759463827185617358748512273
  ( 97 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=2065104407058693668461888789327799 (pp34)
 r2=1541413660666489857341708687188271597185167763339609496930078327 (pp64)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 5.54 hours.
Scaled time: 7.25 units (timescale=1.309).
Factorization parameters were as follows:
name: KA_2_4_134_9
n: 3183180143742841983978949218813441515939722303188901929973696523261819759463827185617358748512273
skew: 1.13
deg: 5
c5: 22
c0: 41
m: 1000000000000000000000000000
type: snfs
rlim: 950000
alim: 950000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 700001)
Primes: RFBsize:74907, AFBsize:74185, largePrimes:7821834 encountered
Relations: rels:7065344, finalFF:237913
Max relations in full relation-set: 28
Initial matrix: 149158 x 237913 with sparse part having weight 25256409.
Pruned matrix : 129264 x 130073 with weight 11067695.
Total sieving time: 4.87 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.42 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,950000,950000,28,28,50,50,2.5,2.5,75000
total time: 5.54 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

11174984685936094268528804965283109768871202961445260752328824538012748772823703<80>

531452776093609479259543855857961849<36>
21027239274346636115400378553683570984303247<44>

Fri Jul 18 13:45:18 2008  Msieve v. 1.36
Fri Jul 18 13:45:18 2008  random seeds: 46217630 d69eac1b
Fri Jul 18 13:45:18 2008  factoring 11174984685936094268528804965283109768871202961445260752328824538012748772823703 (80 digits)
Fri Jul 18 13:45:19 2008  no P-1/P+1/ECM available, skipping
Fri Jul 18 13:45:19 2008  commencing quadratic sieve (80-digit input)
Fri Jul 18 13:45:19 2008  using multiplier of 1
Fri Jul 18 13:45:19 2008  using 64kb Pentium 4 sieve core
Fri Jul 18 13:45:19 2008  sieve interval: 6 blocks of size 65536
Fri Jul 18 13:45:19 2008  processing polynomials in batches of 17
Fri Jul 18 13:45:19 2008  using a sieve bound of 1186657 (45938 primes)
Fri Jul 18 13:45:19 2008  using large prime bound of 118665700 (26 bits)
Fri Jul 18 13:45:19 2008  using trial factoring cutoff of 27 bits
Fri Jul 18 13:45:19 2008  polynomial 'A' values have 10 factors
Fri Jul 18 14:00:45 2008  46148 relations (23831 full + 22317 combined from 251282 partial), need 46034
Fri Jul 18 14:00:46 2008  begin with 275113 relations
Fri Jul 18 14:00:46 2008  reduce to 65721 relations in 2 passes
Fri Jul 18 14:00:46 2008  attempting to read 65721 relations
Fri Jul 18 14:00:48 2008  recovered 65721 relations
Fri Jul 18 14:00:48 2008  recovered 53985 polynomials
Fri Jul 18 14:00:48 2008  attempting to build 46148 cycles
Fri Jul 18 14:00:48 2008  found 46148 cycles in 1 passes
Fri Jul 18 14:00:48 2008  distribution of cycle lengths:
Fri Jul 18 14:00:48 2008     length 1 : 23831
Fri Jul 18 14:00:48 2008     length 2 : 22317
Fri Jul 18 14:00:48 2008  largest cycle: 2 relations
Fri Jul 18 14:00:48 2008  matrix is 45938 x 46148 (6.0 MB) with weight 1395149 (30.23/col)
Fri Jul 18 14:00:48 2008  sparse part has weight 1395149 (30.23/col)
Fri Jul 18 14:00:48 2008  filtering completed in 3 passes
Fri Jul 18 14:00:48 2008  matrix is 32312 x 32375 (4.7 MB) with weight 1091791 (33.72/col)
Fri Jul 18 14:00:48 2008  sparse part has weight 1091791 (33.72/col)
Fri Jul 18 14:00:48 2008  saving the first 48 matrix rows for later
Fri Jul 18 14:00:48 2008  matrix is 32264 x 32375 (2.8 MB) with weight 793320 (24.50/col)
Fri Jul 18 14:00:48 2008  sparse part has weight 546231 (16.87/col)
Fri Jul 18 14:00:48 2008  matrix includes 64 packed rows
Fri Jul 18 14:00:48 2008  using block size 12950 for processor cache size 512 kB
Fri Jul 18 14:00:49 2008  commencing Lanczos iteration
Fri Jul 18 14:00:49 2008  memory use: 3.4 MB
Fri Jul 18 14:00:57 2008  lanczos halted after 512 iterations (dim = 32262)
Fri Jul 18 14:00:57 2008  recovered 16 nontrivial dependencies
Fri Jul 18 14:00:57 2008  prp36 factor: 531452776093609479259543855857961849
Fri Jul 18 14:00:57 2008  prp44 factor: 21027239274346636115400378553683570984303247
Fri Jul 18 14:00:57 2008  elapsed time 00:15:39

Pentium 4 2.4GHz, Windows XP and Cygwin)

1590025799821669844965039915392518155073858809059005816989579180428522176731895180810762304088192099<100>

866628596690676908124381538472636863619623849<45>
1834725747446334136962416765898795700139838509999294251<55>

Number: 24449_137
N=1590025799821669844965039915392518155073858809059005816989579180428522176731895180810762304088192099
  ( 100 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=866628596690676908124381538472636863619623849 (pp45)
 r2=1834725747446334136962416765898795700139838509999294251 (pp55)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 15.16 hours.
Scaled time: 7.16 units (timescale=0.472).
Factorization parameters were as follows:
name: 24449_137
n: 1590025799821669844965039915392518155073858809059005816989579180428522176731895180810762304088192099
m: 1000000000000000000000000000
c5: 2200
c0: 41
skew: 0.45
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2050001)
Primes: RFBsize:78498, AFBsize:63670, largePrimes:1652714 encountered
Relations: rels:1677088, finalFF:173641
Max relations in full relation-set: 28
Initial matrix: 142235 x 173641 with sparse part having weight 18526781.
Pruned matrix : 134432 x 135207 with weight 12954715.
Total sieving time: 14.63 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 15.16 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

354621288036922317129460378447709402989326839295547924604905462758134623744329528219757499403532898824792484232564875429<120>

610651208920497670366733893531787309<36>
580726416089174434252413269353020068317056403185036791065062056709332599816085902681<84>

Number: 24449_138
N=354621288036922317129460378447709402989326839295547924604905462758134623744329528219757499403532898824792484232564875429
  ( 120 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=610651208920497670366733893531787309 (pp36)
 r2=580726416089174434252413269353020068317056403185036791065062056709332599816085902681 (pp84)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 13.03 hours.
Scaled time: 10.18 units (timescale=0.781).
Factorization parameters were as follows:
name: 24449_138
n: 354621288036922317129460378447709402989326839295547924604905462758134623744329528219757499403532898824792484232564875429
m: 2000000000000000000000000000
c5: 1375
c0: 82
skew: 0.57
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2125001)
Primes: RFBsize:78498, AFBsize:64075, largePrimes:1684247 encountered
Relations: rels:1730964, finalFF:191244
Max relations in full relation-set: 28
Initial matrix: 142639 x 191244 with sparse part having weight 20674544.
Pruned matrix : 131077 x 131854 with weight 12803762.
Total sieving time: 12.77 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 13.03 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

73658733170957263936885436254788076953910255688365008131780721746620663191907956191768368728974527244211847<107>

316278564394734722828161457146528573<36>
232891954950910687233387848924968216474272090842685731013040356996107539<72>

Number: 24449_139
N=73658733170957263936885436254788076953910255688365008131780721746620663191907956191768368728974527244211847
  ( 107 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=316278564394734722828161457146528573 (pp36)
 r2=232891954950910687233387848924968216474272090842685731013040356996107539 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.91 hours.
Scaled time: 9.29 units (timescale=0.780).
Factorization parameters were as follows:
name: 24449_139
n: 73658733170957263936885436254788076953910255688365008131780721746620663191907956191768368728974527244211847
m: 10000000000000000000000000000
c5: 11
c0: 205
skew: 1.8
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 1950001)
Primes: RFBsize:100021, AFBsize:100200, largePrimes:2746564 encountered
Relations: rels:2719321, finalFF:249721
Max relations in full relation-set: 28
Initial matrix: 200286 x 249721 with sparse part having weight 24385516.
Pruned matrix : 185707 x 186772 with weight 16198328.
Total sieving time: 11.48 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 11.91 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1330525623582761033378079330165798998758800322143830627046092091099360885992197170120540819401695435427890413860226568141<121>

636996487870315120894764412495687<33>
2088748759088354916772576445771665562338190776869101189675739705777594695442923658592843<88>

Using B1=1000000, B2=5704990210, polynomial Dickson(6), sigma=3152605199
Step 1 took 5005ms
Step 2 took 86ms
********** Factor found in step 2: 636996487870315120894764412495687
Found probable prime factor of 33 digits: 636996487870315120894764412495687
Probable prime cofactor 2088748759088354916772576445771665562338190776869101189675739705777594695442923658592843 has 88 digits

GMP-ECM 6.2.1

3402876891229689848436598461222854587652833006566211367190450112565004405320662633342669332652310661572730473<109>

330751162736293369432428637738428342414840410247225443<54>
10288329338218503898012571540672054405004510290431734211<56>

Number: 24449_141
N=3402876891229689848436598461222854587652833006566211367190450112565004405320662633342669332652310661572730473
  ( 109 digits)
Divisors found:
 r1=330751162736293369432428637738428342414840410247225443 (pp54)
 r2=10288329338218503898012571540672054405004510290431734211 (pp56)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 22.97 hours.
Scaled time: 17.71 units (timescale=0.771).
Factorization parameters were as follows:
name: 24449_141
n: 3402876891229689848436598461222854587652833006566211367190450112565004405320662633342669332652310661572730473
skew: 30807.09
# norm 3.85e+15
c5: 69120
c4: 2895205464
c3: -280193627009614
c2: -2131733424676079691
c1: 98239689575495530872726
c0: -135859311080054690787186605
# alpha -6.94
Y1: 341702854723
Y0: -547578302901837438032
# Murphy_E 1.13e-09
# M 2624517538539014615930987387730867606025583956109033825991318871842305983421265016580000378459286719069186525
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2900001)
Primes: RFBsize:230209, AFBsize:230058, largePrimes:7228712 encountered
Relations: rels:6973746, finalFF:525266
Max relations in full relation-set: 28
Initial matrix: 460344 x 525266 with sparse part having weight 39329504.
Pruned matrix : 407937 x 410302 with weight 26054930.
Total sieving time: 20.82 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 1.61 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 22.97 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

341825022122081335958998419546470762029091886554630659976017195508658914361214371124388440953080000138856974651484571068809985784403<132>

6803073944175257199768043132997513943459774741129425881805173<61>
50245672019300841540350636053956247113188991898199365782683211009817511<71>

Number: 24449_143
N=341825022122081335958998419546470762029091886554630659976017195508658914361214371124388440953080000138856974651484571068809985784403
  ( 132 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=6803073944175257199768043132997513943459774741129425881805173 (pp61)
 r2=50245672019300841540350636053956247113188991898199365782683211009817511 (pp71)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.21 hours.
Scaled time: 15.56 units (timescale=0.770).
Factorization parameters were as follows:
name: 24449_143
n: 341825022122081335958998419546470762029091886554630659976017195508658914361214371124388440953080000138856974651484571068809985784403
m: 20000000000000000000000000000
c5: 1375
c0: 82
skew: 0.57
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2950001)
Primes: RFBsize:100021, AFBsize:100230, largePrimes:2954435 encountered
Relations: rels:3008883, finalFF:265588
Max relations in full relation-set: 28
Initial matrix: 200317 x 265588 with sparse part having weight 31931584.
Pruned matrix : 184165 x 185230 with weight 21048063.
Total sieving time: 19.70 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 20.21 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

351742631764091784060929143940635209161080432608066070671172188248276741820313159008906507475054840176158667869578115152472811138643<132>

330656667519370766780036608680693031<36>
1063769965393139226970800550235148159416860116316758164927268244022746113357233560752845829368053<97>

Number: 24449_145
N=351742631764091784060929143940635209161080432608066070671172188248276741820313159008906507475054840176158667869578115152472811138643
  ( 132 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=330656667519370766780036608680693031 (pp36)
 r2=1063769965393139226970800550235148159416860116316758164927268244022746113357233560752845829368053 (pp97)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 22.76 hours.
Scaled time: 17.66 units (timescale=0.776).
Factorization parameters were as follows:
name: 24449_145
n: 351742631764091784060929143940635209161080432608066070671172188248276741820313159008906507475054840176158667869578115152472811138643
m: 100000000000000000000000000000
c5: 22
c0: 41
skew: 1.13
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 3250001)
Primes: RFBsize:114155, AFBsize:113514, largePrimes:2953981 encountered
Relations: rels:2977548, finalFF:281309
Max relations in full relation-set: 28
Initial matrix: 227735 x 281309 with sparse part having weight 31945458.
Pruned matrix : 212164 x 213366 with weight 22643648.
Total sieving time: 22.10 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.47 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 22.76 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

168886519423956864772830398013728626154547408630592155514741531403323179695674542221418226218787968070077564086556296603429<123>

17402239799437999024534166513064894599063<41>
9704872554934624715117145597971219813583628402942201073104426199442049345595512483<82>

Number: 24449_148
N=168886519423956864772830398013728626154547408630592155514741531403323179695674542221418226218787968070077564086556296603429
  ( 123 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=17402239799437999024534166513064894599063 (pp41)
 r2=9704872554934624715117145597971219813583628402942201073104426199442049345595512483 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 38.93 hours.
Scaled time: 30.29 units (timescale=0.778).
Factorization parameters were as follows:
name: 24449_148
n: 168886519423956864772830398013728626154547408630592155514741531403323179695674542221418226218787968070077564086556296603429
m: 200000000000000000000000000000
c5: 1375
c0: 82
skew: 0.57
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 5250001)
Primes: RFBsize:114155, AFBsize:114334, largePrimes:3203085 encountered
Relations: rels:3335826, finalFF:257222
Max relations in full relation-set: 28
Initial matrix: 228555 x 257222 with sparse part having weight 34263507.
Pruned matrix : 221405 x 222611 with weight 28567526.
Total sieving time: 38.06 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.62 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 38.93 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

14874861343073046583956967287786005221131697004818390945830695295766361927386448243115974657528153010128905799588150001926913642418358843309<140>

16097965590711520018626138438225266068918017570413<50>
924021191327169870580703157780617527631433867785181172624034019357349260873271768572067393<90>

Number: n
N=14874861343073046583956967287786005221131697004818390945830695295766361927386448243115974657528153010128905799588150001926913642418358843309
  ( 140 digits)
SNFS difficulty: 151 digits.
Divisors found:

Tue Jul 22 16:05:34 2008  prp50 factor: 16097965590711520018626138438225266068918017570413
Tue Jul 22 16:05:34 2008  prp90 factor: 924021191327169870580703157780617527631433867785181172624034019357349260873271768572067393
Tue Jul 22 16:05:34 2008  elapsed time 00:49:27 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 25.87 hours.
Scaled time: 44.79 units (timescale=1.731).
Factorization parameters were as follows:
name: KA_2_4_149_9
n: 14874861343073046583956967287786005221131697004818390945830695295766361927386448243115974657528153010128905799588150001926913642418358843309
type: snfs
skew: 1.13
deg: 5
c5: 22
c0: 41
m: 1000000000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1200001)
Primes: RFBsize:148933, AFBsize:148322, largePrimes:6170485 encountered
Relations: rels:5474077, finalFF:325172
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 25.66 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,50,50,2.3,2.3,100000
total time: 25.87 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

481407811498206755902169179834264419805117365036225937815240058381638230782528397590335081718976001820596814393218276866385261918672714899352944137<147>

30747866532082367838345848099460820768463553615562170458503<59>
15656624858700526687871150149500413269209603785459994790145094019676577696231079026640879<89>

Number: n
N=481407811498206755902169179834264419805117365036225937815240058381638230782528397590335081718976001820596814393218276866385261918672714899352944137
  ( 147 digits)
SNFS difficulty: 152 digits.
Divisors found:

Sun Jul 20 13:39:18 2008  prp59 factor: 30747866532082367838345848099460820768463553615562170458503
Sun Jul 20 13:39:18 2008  prp89 factor: 15656624858700526687871150149500413269209603785459994790145094019676577696231079026640879
Sun Jul 20 13:39:18 2008  elapsed time 01:23:08 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 20.54 hours.
Scaled time: 26.78 units (timescale=1.304).
Factorization parameters were as follows:
name: KA_2_4_150_9
n: 481407811498206755902169179834264419805117365036225937815240058381638230782528397590335081718976001820596814393218276866385261918672714899352944137
skew: 0.71
deg: 5
c5: 220
c0: 41
m: 1000000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1100001)
Primes: RFBsize:148933, AFBsize:149787, largePrimes:8214123 encountered
Relations: rels:7234772, finalFF:302813
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 20.33 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,50,50,2.5,2.5,100000
total time: 20.54 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6647313536471490523384054516889594848412193076035299505863961930987106914439120763464965873679<94>

459905896132990216649786240439121054688244443<45>
14453638434218503727640096477729668894378052287453<50>

Number: 24449_154
N=6647313536471490523384054516889594848412193076035299505863961930987106914439120763464965873679
  ( 94 digits)
Divisors found:
 r1=459905896132990216649786240439121054688244443 (pp45)
 r2=14453638434218503727640096477729668894378052287453 (pp50)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.02 hours.
Scaled time: 6.14 units (timescale=0.765).
Factorization parameters were as follows:
name: 24449_154
n:  6647313536471490523384054516889594848412193076035299505863961930987106914439120763464965873679
m:  3925432779428596964968
deg: 4
c4: 27996000
c3: -86903748365
c2: 550027718475813193
c1: 229055727357494269
c0: -454436951428866878844665
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.859
# E(F1,F2) = 3.999849e-05
# GGNFS version 0.77.1-20050930-nocona polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1216504368.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1380001)
Primes: RFBsize:92938, AFBsize:93133, largePrimes:1934443 encountered
Relations: rels:2058820, finalFF:267616
Max relations in full relation-set: 28
Initial matrix: 186148 x 267616 with sparse part having weight 23334623.
Pruned matrix : 154321 x 155315 with weight 11475763.
Total sieving time: 7.74 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,93,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 8.02 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1657407281744557318977622952657209008164750830211547757484769227847986576290000102482091734717402424938133879682164532903292819439<130>

45999919755091463993377327103075511881496406927<47>
36030655935244507282549301863752200400900959948706991027890149836194085839645629857<83>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 1657407281744557318977622952657209008164750830211547757484769227847986576290000102482091734717402424938133879682164532903292819439 (130 digits)
Using B1=3870000, B2=5773430343, polynomial Dickson(6), sigma=219387156
Step 1 took 51500ms
Step 2 took 25750ms
********** Factor found in step 2: 45999919755091463993377327103075511881496406927
Found probable prime factor of 47 digits: 45999919755091463993377327103075511881496406927
Probable prime cofactor 36030655935244507282549301863752200400900959948706991027890149836194085839645629857 has 83 digits

50283306318741293831206725458045550828947617642200636010228456465391071066674473378533134519539842561733689411367182734067516689046509226480448018591<149>

34403366202778334391060150858471779<35>
1461580998276864345860844458718294113767553420340741001484818970216017514257778694796433577617315925915621203003029<115>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 50283306318741293831206725458045550828947617642200636010228456465391071066674473378533134519539842561733689411367182734067516689046509226480448018591 (149 digits)
Using B1=2952000, B2=3925380374, polynomial Dickson(6), sigma=1014426794
Step 1 took 47281ms
Step 2 took 24266ms
********** Factor found in step 2: 34403366202778334391060150858471779
Found probable prime factor of 35 digits: 34403366202778334391060150858471779
Probable prime cofactor 1461580998276864345860844458718294113767553420340741001484818970216017514257778694796433577617315925915621203003029 has 115 digits

21141887129314365340413439278686685605805369645401750927238009940322413589021656829320590485472112245817998315002378156081032695372500342703287426971<149>

1105326103418514975838635653554146491496662790047875884527581<61>
19127284756894328245610160409392789398531145245398183946272241072229624360054573707039191<89>

Number: n
N=21141887129314365340413439278686685605805369645401750927238009940322413589021656829320590485472112245817998315002378156081032695372500342703287426971
  ( 149 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=1105326103418514975838635653554146491496662790047875884527581 (pp61)
 r2=19127284756894328245610160409392789398531145245398183946272241072229624360054573707039191 (pp89)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 25.64 hours.
Scaled time: 46.74 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_2_4_157_9
n: 21141887129314365340413439278686685605805369645401750927238009940322413589021656829320590485472112245817998315002378156081032695372500342703287426971
skew: 0.57
deg: 5
c5: 1375
c0: 82
m: 20000000000000000000000000000000
type: snfs
rlim: 3800000
alim: 3800000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:269987, AFBsize:269724, largePrimes:9478739 encountered
Relations: rels:8787558, finalFF:611556
Max relations in full relation-set: 48
Initial matrix: 539777 x 611556 with sparse part having weight 54924569.
Pruned matrix : 481221 x 483983 with weight 35223051.
Total sieving time: 23.38 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 2.00 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3800000,3800000,28,28,50,50,2.5,2.5,100000
total time: 25.64 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

3123504049781346520649845866412023805576131973733178763648331210776077464897935701049859097482628566670996489562929247<118>

2175120316596344341395729390310266840279264737<46>
1436014378583454632133875028269996384218596726067989942997243612917575231<73>

Number: 24449_160
N=3123504049781346520649845866412023805576131973733178763648331210776077464897935701049859097482628566670996489562929247
  ( 118 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=2175120316596344341395729390310266840279264737 (pp46)
 r2=1436014378583454632133875028269996384218596726067989942997243612917575231 (pp73)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 70.37 hours.
Scaled time: 54.82 units (timescale=0.779).
Factorization parameters were as follows:
name: 24449_160
n: 3123504049781346520649845866412023805576131973733178763648331210776077464897935701049859097482628566670996489562929247
m: 100000000000000000000000000000000
c5: 22
c0: 41
skew: 1.13
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4300001)
Primes: RFBsize:283146, AFBsize:282794, largePrimes:5837251 encountered
Relations: rels:5919740, finalFF:686098
Max relations in full relation-set: 28
Initial matrix: 566006 x 686098 with sparse part having weight 53196518.
Pruned matrix : 483417 x 486311 with weight 38131690.
Total sieving time: 67.10 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.94 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 70.37 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

23633438026802936288744279650747981771390774449127739045336855687073611485462605123728848381168336377226426790365506954241<122>

57372938262772414492411144007923057<35>
225361366817860241485519425537206353<36>
1827849120928944890321391127384847605488278593446721<52>

GMP-ECM 6.2 [powered by GMP 4.2.2] [ECM]
Input number is 23633438026802936288744279650747981771390774449127739045336855687073611485462605123728848381168336377226426790365506954241 (122 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2111156934
Step 1 took 6014ms
********** Factor found in step 1: 225361366817860241485519425537206353
Found probable prime factor of 36 digits: 225361366817860241485519425537206353
Composite cofactor 104869074768719184432156021238416395118856035807718212846525806858901934786582196946097 has 87 digits

Mon Jul 21 12:58:41 2008  
Mon Jul 21 12:58:41 2008  
Mon Jul 21 12:58:41 2008  Msieve v. 1.34
Mon Jul 21 12:58:41 2008  random seeds: 002e7883 9734cdf0
Mon Jul 21 12:58:41 2008  factoring 104869074768719184432156021238416395118856035807718212846525806858901934786582196946097 (87 digits)
Mon Jul 21 12:58:41 2008  no P-1/P+1/ECM available, skipping
Mon Jul 21 12:58:41 2008  commencing quadratic sieve (87-digit input)
Mon Jul 21 12:58:41 2008  using multiplier of 1
Mon Jul 21 12:58:41 2008  using 32kb Intel Core sieve core
Mon Jul 21 12:58:41 2008  sieve interval: 17 blocks of size 32768
Mon Jul 21 12:58:41 2008  processing polynomials in batches of 12
Mon Jul 21 12:58:41 2008  using a sieve bound of 1470841 (55895 primes)
Mon Jul 21 12:58:41 2008  using large prime bound of 117667280 (26 bits)
Mon Jul 21 12:58:41 2008  using double large prime bound of 336651265440320 (41-49 bits)
Mon Jul 21 12:58:41 2008  using trial factoring cutoff of 49 bits
Mon Jul 21 12:58:41 2008  polynomial 'A' values have 11 factors
Mon Jul 21 13:34:54 2008  56176 relations (15553 full + 40623 combined from 590767 partial), need 55991
Mon Jul 21 13:34:54 2008  begin with 606320 relations
Mon Jul 21 13:34:54 2008  reduce to 134589 relations in 9 passes
Mon Jul 21 13:34:54 2008  attempting to read 134589 relations
Mon Jul 21 13:34:55 2008  recovered 134589 relations
Mon Jul 21 13:34:55 2008  recovered 114672 polynomials
Mon Jul 21 13:34:55 2008  attempting to build 56176 cycles
Mon Jul 21 13:34:55 2008  found 56176 cycles in 5 passes
Mon Jul 21 13:34:55 2008  distribution of cycle lengths:
Mon Jul 21 13:34:55 2008     length 1 : 15553
Mon Jul 21 13:34:55 2008     length 2 : 11023
Mon Jul 21 13:34:55 2008     length 3 : 10008
Mon Jul 21 13:34:55 2008     length 4 : 7469
Mon Jul 21 13:34:55 2008     length 5 : 5111
Mon Jul 21 13:34:55 2008     length 6 : 3141
Mon Jul 21 13:34:55 2008     length 7 : 1794
Mon Jul 21 13:34:55 2008     length 9+: 2077
Mon Jul 21 13:34:55 2008  largest cycle: 18 relations
Mon Jul 21 13:34:55 2008  matrix is 55895 x 56176 (13.3 MB) with weight 3027730 (53.90/col)
Mon Jul 21 13:34:55 2008  sparse part has weight 3027730 (53.90/col)
Mon Jul 21 13:34:55 2008  filtering completed in 3 passes
Mon Jul 21 13:34:55 2008  matrix is 51376 x 51440 (12.2 MB) with weight 2791920 (54.28/col)
Mon Jul 21 13:34:55 2008  sparse part has weight 2791920 (54.28/col)
Mon Jul 21 13:34:56 2008  saving the first 48 matrix rows for later
Mon Jul 21 13:34:56 2008  matrix is 51328 x 51440 (7.6 MB) with weight 2134271 (41.49/col)
Mon Jul 21 13:34:56 2008  sparse part has weight 1470468 (28.59/col)
Mon Jul 21 13:34:56 2008  matrix includes 64 packed rows
Mon Jul 21 13:34:56 2008  using block size 20576 for processor cache size 4096 kB
Mon Jul 21 13:34:56 2008  commencing Lanczos iteration
Mon Jul 21 13:34:56 2008  memory use: 7.1 MB
Mon Jul 21 13:35:05 2008  lanczos halted after 813 iterations (dim = 51328)
Mon Jul 21 13:35:05 2008  recovered 17 nontrivial dependencies
Mon Jul 21 13:35:05 2008  prp35 factor: 57372938262772414492411144007923057
Mon Jul 21 13:35:05 2008  prp52 factor: 1827849120928944890321391127384847605488278593446721
Mon Jul 21 13:35:05 2008  elapsed time 00:36:24

Core 2 Quad Q6700

137058741950142926413591313022560984084757574577851131616469494271994331848507452416459940031691843703418912251112149144183098966311067137682739252527847579614573<162>

2899543658506815033242105025684834449702477<43>
47269073375747822390380499935334445424904739368471132437674465794253492151242396483956332265049621005799300244584991649<119>

Number: n
N=137058741950142926413591313022560984084757574577851131616469494271994331848507452416459940031691843703418912251112149144183098966311067137682739252527847579614573
  ( 162 digits)
SNFS difficulty: 169 digits.
Divisors found:

Fri Jul 25 01:46:01 2008  prp43 factor: 2899543658506815033242105025684834449702477
Fri Jul 25 01:46:01 2008  prp119 factor: 47269073375747822390380499935334445424904739368471132437674465794253492151242396483956332265049621005799300244584991649
Fri Jul 25 01:46:01 2008  elapsed time 02:23:22 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 54.93 hours.
Scaled time: 100.46 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_2_4_167_9
n: 137058741950142926413591313022560984084757574577851131616469494271994331848507452416459940031691843703418912251112149144183098966311067137682739252527847579614573
skew: 0.57
deg: 5
c5: 1375
c0: 82
m: 2000000000000000000000000000000000
type: snfs
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 3200001)
Primes: RFBsize:399993, AFBsize:399636, largePrimes:10053706 encountered
Relations: rels:9578110, finalFF:811962
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 54.61 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,50,50,2.5,2.5,100000
total time: 54.93 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

1160053887321388306247894317985684521194560853620648242948063882893486761625576778027346877448599606173015566550740807961330613627642328527504536024938321<154>

5658141762156826678442825564795456282008165567021<49>
205023828685265645027427152433093505046281741380993784990718808353878468660941885633315531455901334965301<105>

SNFS difficulty: 171 digits.
Divisors found:
 r1=5658141762156826678442825564795456282008165567021
 r2=205023828685265645027427152433093505046281741380993784990718808353878468660941885633315531455901334965301
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.724).
Factorization parameters were as follows:
n: 1160053887321388306247894317985684521194560853620648242948063882893486761625576778027346877448599606173015566550740807961330613627642328527504536024938321
Y1: 1
Y0: -10000000000000000000000000000000000
c5: 22
c0: 41
skew: 1.13
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 5900001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1117066 x 1117314
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 30.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

81481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481483<173>

7247333544342156249361332950765992322106652729740454583309021232849433<70>
11242960046332128968771133199614355501934832225686603228803080298550488784257145880620332675742271558851<104>

Number: 24449_173
N=81481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481483
  ( 173 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=7247333544342156249361332950765992322106652729740454583309021232849433 (pp70)
 r2=11242960046332128968771133199614355501934832225686603228803080298550488784257145880620332675742271558851 (pp104)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 271.39 hours.
Scaled time: 273.83 units (timescale=1.009).
Factorization parameters were as follows:
name: 24449_173
n: 81481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481483
m: 20000000000000000000000000000000000
c5: 1375
c0: 82
skew: 0.57
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 13400001)
Primes: RFBsize:501962, AFBsize:501393, largePrimes:6712203 encountered
Relations: rels:7232983, finalFF:1179697
Max relations in full relation-set: 28
Initial matrix: 1003421 x 1179697 with sparse part having weight 85859116.
Pruned matrix : 855294 x 860375 with weight 65427418.
Total sieving time: 264.22 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 6.86 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 271.39 hours.
 --------- CPU info (if available) ----------

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

8640127378578876816175061464289946231997675493244552609642778182634267049268555514819552224803404218803391242561428838615061063859<130>

266035083777378742523946156277067382613164233<45>
32477398303635155377029060273421048872989902047344866257412322007806785839140094490523<86>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3303327786
Step 1 took 43531ms
Step 2 took 19130ms
********** Factor found in step 2: 266035083777378742523946156277067382613164233
Found probable prime factor of 45 digits: 266035083777378742523946156277067382613164233
Probable prime cofactor 32477398303635155377029060273421048872989902047344866257412322007806785839140094490523 has 86 digits

GMP-ECM 6.3

9174465348061046657761054799980235163861203200631551161931320512386879483923469375515517741223820114497005084839849657147914907143380422943917546768355771133246857<163>

3988176640532111179738994803247<31>

2300415998333757249778490685464197237196599067392634238293373017266221785902267818855923626007378850090684685815884380328807466034631<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1068787070
Step 1 took 18926ms
********** Factor found in step 1: 3988176640532111179738994803247
Found probable prime factor of 31 digits: 3988176640532111179738994803247
Composite cofactor 2300415998333757249778490685464197237196599067392634238293373017266221785902267818855923626007378850090684685815884380328807466034631 has 133 digits

GMP-ECM 6.2.1

2300415998333757249778490685464197237196599067392634238293373017266221785902267818855923626007378850090684685815884380328807466034631<133>

54111511926109087516074011713629278420680982927015592787471541<62>
42512506423310535868516683204654149896491963856952955050978603035988491<71>

N = 2300415998333757249778490685464197237196599067392634238293373017266221785902267818855923626007378850090684685815884380328807466034631 (133 digits)
SNFS difficulty: 179 digits.
Divisors found:
r1=54111511926109087516074011713629278420680982927015592787471541 (pp62)
r2=42512506423310535868516683204654149896491963856952955050978603035988491 (pp71)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 26.55 hours.
Factorization parameters were as follows:
name: (22*10^177+41)/9
n: 2300415998333757249778490685464197237196599067392634238293373017266221785902267818855923626007378850090684685815884380328807466034631
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 41
c1: 0
c2: 0
c3: 0
c4: 0
c5: 2200
skew: 0.45
type: snfs
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21063619
Relations: 2713030 relations
Pruned matrix : 1553022 x 1553254
Polynomial selection time: 0.00 hours.
Total sieving time: 23.92 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 2.23 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,179,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,55,55,2.5,2.5,100000
total time: 26.55 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

506857905599799569157377479599811189525333963364577806703824652806745098847994895793755100701913613374681367826198258212390775949417647431<138>

3254918163250404860186420200056840308993519716176113393<55>
155720629576027336414556430784896248265799061365674422655741146036572674400589475767<84>

N=506857905599799569157377479599811189525333963364577806703824652806745098847994895793755100701913613374681367826198258212390775949417647431
  ( 138 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=3254918163250404860186420200056840308993519716176113393 (pp55)
 r2=155720629576027336414556430784896248265799061365674422655741146036572674400589475767 (pp84)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 105.71 hours.
Scaled time: 203.39 units (timescale=1.924).
Factorization parameters were as follows:
n: 506857905599799569157377479599811189525333963364577806703824652806745098847994895793755100701913613374681367826198258212390775949417647431
m: 100000000000000000000000000000000000
deg: 5
c5: 22000
c0: 41
skew: 0.28
# Murphy_E = 9.226e-11
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 9000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1538553 x 1538801
Total sieving time: 102.86 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.31 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 105.71 hours.
 --------- CPU info (if available) ----------

8192097934356175594595594050670590800735011410866304786698305889414266747823546693805746598072145401010026841148224256461639196272229029669421628241500976738251191967936933<172>

4709265302137869659862245071370147524339<40>
1739570274504857707535275537380491475552247975192258418582731436325940396501333946422086967674982501724824164517654411627901391287047<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3419800755
Step 1 took 15835ms
Step 2 took 6648ms
********** Factor found in step 2: 4709265302137869659862245071370147524339
Found probable prime factor of 40 digits: 4709265302137869659862245071370147524339
Probable prime cofactor 1739570274504857707535275537380491475552247975192258418582731436325940396501333946422086967674982501724824164517654411627901391287047 has 133 digits

GMP-ECM 6.2.3

1317712843899466455737540206828873744539164416128016181508197887792745811104502951598447655818170952212632369243576526101435036449720652531<139>

1769770208978296859658331890070637<34>
894919377524823262965410505209487619<36>
831993602705134771540965249704583123198561362548116161848843063999477<69>

#ecm:
#
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1689418823
Step 1 took 18414ms
Step 2 took 16307ms
********** Factor found in step 2: 894919377524823262965410505209487619
Found probable prime factor of 36 digits: 894919377524823262965410505209487619
Composite cofactor 1472437492128072456080341721656210925078116385346784875563765316598223832211646356703426379933261056849 has 103 digits
#
#then pol51, and Msieve/gnfs-103
#
Number: 24449_181
N=1472437492128072456080341721656210925078116385346784875563765316598223832211646356703426379933261056849
  ( 103 digits)
Divisors found:
 r1=1769770208978296859658331890070637
 r2=831993602705134771540965249704583123198561362548116161848843063999477
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.725).
Factorization parameters were as follows:
name: 24449_181
n: 1472437492128072456080341721656210925078116385346784875563765316598223832211646356703426379933261056849
skew: 12109.92
# norm 1.11e+14
c5: 13800
c4: 229021120
c3: -5546394553982
c2: 39015717440707647
c1: 265001117184500868642
c0: -1409292541606116852827712
# alpha -5.56
Y1: 57257448043
Y0: -40330119583764690079
# Murphy_E 2.48e-09
# M 555219686948494539915267439001639650635907604410780913489476571794940846402885098730478554425179319560
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 231148 x 231396
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,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000

total time: 4.50 hours.

GMP-ECM 6.2.1+Msieve-1.36+pol51select

Opteron-2.6GHz; Linux x86_64

81481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481483<182>

11131817333645608134880826432818812343782233091922887565788360266449<68>
7319692646698933068447008380320554226838232071464676446580397185871101360352917608275605713660449939915296564240667<115>

Number: n
N=81481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481483
  ( 182 digits)
SNFS difficulty: 183 digits.
Divisors found:

Wed Oct 08 01:16:41 2008  prp68 factor: 11131817333645608134880826432818812343782233091922887565788360266449
Wed Oct 08 01:16:41 2008  prp115 factor: 7319692646698933068447008380320554226838232071464676446580397185871101360352917608275605713660449939915296564240667
Wed Oct 08 01:16:42 2008  elapsed time 06:28:41 (Msieve 1.38)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 54.73 hours.
Scaled time: 111.92 units (timescale=2.045).
Factorization parameters were as follows:
name: KA_2_4_181_9
n: 81481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481483
type: snfs
skew: 0.45
deg: 5
c5: 2200
c0: 41
m: 1000000000000000000000000000000000000
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 4500001)
Primes: RFBsize:571119, AFBsize:570514, largePrimes:14085472 encountered
Relations: rels:13769297, finalFF:1174408
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 54.36 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,52,52,2.5,2.5,100000
total time: 54.73 hours.
 --------- CPU info (if available) ----------

134631171882026107311021750906933358108259496643328165149236678318778571221142821636141068215975413321016030227105292868111718123104147512754863747232676227155783596502634374129<177>

708766631552504984738768800508264171209923136947368059454215703414195752237<75>
189951340665016500665066067069421808676087674548394253486865779540742197894243239831877950460083295317<102>

Number: n
N=134631171882026107311021750906933358108259496643328165149236678318778571221142821636141068215975413321016030227105292868111718123104147512754863747232676227155783596502634374129
  ( 177 digits)
SNFS difficulty: 186 digits.
Divisors found:

Wed Jan 25 00:54:11 2012  prp75 factor: 708766631552504984738768800508264171209923136947368059454215703414195752237
Wed Jan 25 00:54:11 2012  prp102 factor: 189951340665016500665066067069421808676087674548394253486865779540742197894243239831877950460083295317
Wed Jan 25 00:54:11 2012  elapsed time 02:58:06 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.660).
Factorization parameters were as follows:
name: KA_24449_185
n: 134631171882026107311021750906933358108259496643328165149236678318778571221142821636141068215975413321016030227105292868111718123104147512754863747232676227155783596502634374129
m: 10000000000000000000000000000000000000
deg: 5
c5: 22
c0: 41
skew: 1.13
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6775497 hash collisions in 77000098 relations
Msieve: matrix is 1165808 x 1166048 (326.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

79278925881142505122553730915890503853352888684062137215256009484748012729707926627242824994119280712418636033808293863499509586895047609636442734278255595912567899340595250819<176>

66147382091482044493875054800211333203271919367366243627231280275461<68>
1198519478389930728833836020219420126578681049351479332519733094492494688333028476859857595792459951206005479<109>

Number: n
N=79278925881142505122553730915890503853352888684062137215256009484748012729707926627242824994119280712418636033808293863499509586895047609636442734278255595912567899340595250819
  ( 176 digits)
SNFS difficulty: 189 digits.
Divisors found:

Fri Mar  2 23:59:42 2012  prp68 factor: 66147382091482044493875054800211333203271919367366243627231280275461
Fri Mar  2 23:59:42 2012  prp109 factor: 1198519478389930728833836020219420126578681049351479332519733094492494688333028476859857595792459951206005479
Fri Mar  2 23:59:42 2012  elapsed time 04:15:53 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.658).
Factorization parameters were as follows:
name: KA_24449_188
n: 79278925881142505122553730915890503853352888684062137215256009484748012729707926627242824994119280712418636033808293863499509586895047609636442734278255595912567899340595250819
m: 10000000000000000000000000000000000000
#  c176, diff: 189.34
skew: 0.28
deg: 5
c5: 22000
c0: 41
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7650854 hash collisions in 76660176 relations (71448186 unique)
Msieve: matrix is 1311148 x 1311378 (369.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

730853139928375346513314205396287417982350255719988150585089648384245567452265194877371814329803682790488267358998628948267259854558820673707864490408135276910901575490590845783<177>

133123118091746247655184830339685276104747<42>

5490054247562647006780837152517421289062969703296618012181866556235866897040881394518374319463394349989796977620825244858946915327833989<136>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2053170062
Step 1 took 119336ms
Step 2 took 37077ms
********** Factor found in step 2: 133123118091746247655184830339685276104747
Found probable prime factor of 42 digits: 133123118091746247655184830339685276104747

5490054247562647006780837152517421289062969703296618012181866556235866897040881394518374319463394349989796977620825244858946915327833989<136>

19775925578762345867223354680370030636552273337144718219712525751<65>
277613011117846040018492428440823631769311823099011835623394970193304739<72>

N = 5490054247562647006780837152517421289062969703296618012181866556235866897040881394518374319463394349989796977620825244858946915327833989 (136 digits)
SNFS difficulty: 192 digits.
Divisors found:
r1=19775925578762345867223354680370030636552273337144718219712525751 (pp65)
r2=277613011117846040018492428440823631769311823099011835623394970193304739 (pp72)
Version: Msieve v. 1.52 (SVN exported)
Total time: 34.53 hours.
Factorization parameters were as follows:
n: 5490054247562647006780837152517421289062969703296618012181866556235866897040881394518374319463394349989796977620825244858946915327833989
m: 100000000000000000000000000000000000000
deg: 5
c5: 22
c0: 41
skew: 1.13
# Murphy_E = 3.493e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22258251
Relations: 3848968 relations
Pruned matrix : 2372128 x 2372353
Polynomial selection time: 0.00 hours.
Total sieving time: 30.66 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.23 hours.
time per square root: 0.39 hours.
Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,600000
total time: 34.53 hours.

3815128206694779623520174655418734457652935647921584170096985230934498905233014774729294605821100070703964955119564849954608746258167315329164866001703722101159303010312964981117<178>

343906189603771590363078015225416883811898829856043<51>
11093514225755416389788777030941135287130282682114328927466988376212203643166688852211197168685104033173388689682929157681584119<128>

N = 3815128206694779623520174655418734457652935647921584170096985230934498905233014774729294605821100070703964955119564849954608746258167315329164866001703722101159303010312964981117 (178 digits)
SNFS difficulty: 193 digits.
Divisors found:
r1=343906189603771590363078015225416883811898829856043 (pp51)
r2=11093514225755416389788777030941135287130282682114328927466988376212203643166688852211197168685104033173388689682929157681584119 (pp128)
Version: Msieve v. 1.52 (SVN exported)
Total time: 37.15 hours.
Factorization parameters were as follows:
n: 3815128206694779623520174655418734457652935647921584170096985230934498905233014774729294605821100070703964955119564849954608746258167315329164866001703722101159303010312964981117
m: 100000000000000000000000000000000000000
deg: 5
c5: 220
c0: 41
skew: 0.71
# Murphy_E = 3.061e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 24329150
Relations: 4007672 relations
Pruned matrix : 2462987 x 2463213
Polynomial selection time: 0.00 hours.
Total sieving time: 32.49 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 3.49 hours.
time per square root: 0.91 hours.
Prototype def-par.txt line would be: snfs,193,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,240000
total time: 37.15 hours.
x86_64
Linux-2.6.32-042stab090.5-x86_64-with-centos-6.3-Final
processors: 16, speed: 2.40GHz

54751803303494216593859657778270676039019951236458998444501974158275855048569650167575313274903449184097245606952742831285383382333213394902338151038176860798719<161>

205876788736852464264102384655706161669050752862728492889660247972993037<72>
265944517783774357832691277738545954444635522642201160584531766404806525380238004061078587<90>

p72 factor: 205876788736852464264102384655706161669050752862728492889660247972993037
p90 factor: 265944517783774357832691277738545954444635522642201160584531766404806525380238004061078587


Msieve v. 1.54 (SVN 1032M)
random seeds: e4866553 16446cf9
factoring 54751803303494216593859657778270676039019951236458998444501974158275855048569650167575313274903449184097245606952742831285383382333213394902338151038176860798719 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 41
A1: 0
A2: 0
A3: 0
A4: 0
A5: 2200
skew 1.00, size 1.274e-13, alpha -0.161, combined = 2.375e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2035235 hash collisions in 34455840 relations
added 727839 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 35183679 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1149.7 MB
keeping 38886764 ideals with weight <= 200, target excess is 185952
commencing in-memory singleton removal
begin with 35183679 relations and 38886764 unique ideals
reduce to 12101667 relations and 11556112 ideals in 17 passes
max relations containing the same ideal: 97
removing 1263298 relations and 1098373 ideals in 164925 cliques
commencing in-memory singleton removal
begin with 10838369 relations and 11556112 unique ideals
reduce to 10716164 relations and 10333231 ideals in 9 passes
max relations containing the same ideal: 90
removing 976055 relations and 811130 ideals in 164925 cliques
commencing in-memory singleton removal
begin with 9740109 relations and 10333231 unique ideals
reduce to 9655857 relations and 9436452 ideals in 10 passes
max relations containing the same ideal: 86
relations with 0 large ideals: 3758
relations with 1 large ideals: 8564
relations with 2 large ideals: 76444
relations with 3 large ideals: 381583
relations with 4 large ideals: 1152759
relations with 5 large ideals: 2183647
relations with 6 large ideals: 2738892
relations with 7+ large ideals: 3110210
commencing 2-way merge
reduce to 5863720 relation sets and 5644315 unique ideals
commencing full merge
memory use: 632.8 MB
found 2690439 cycles, need 2676515
weight of 2676515 cycles is about 241039542 (90.06/cycle)
distribution of cycle lengths:
1 relations: 240844
2 relations: 246077
3 relations: 254444
4 relations: 236859
5 relations: 222479
6 relations: 200899
7 relations: 179519
8 relations: 158536
9 relations: 139967
10+ relations: 796891
heaviest cycle: 28 relations
commencing cycle optimization
start with 19973702 relations
pruned 617274 relations
memory use: 596.0 MB
distribution of cycle lengths:
1 relations: 240844
2 relations: 252189
3 relations: 263645
4 relations: 244144
5 relations: 229964
6 relations: 205756
7 relations: 183116
8 relations: 160297
9 relations: 141263
10+ relations: 755297
heaviest cycle: 28 relations
RelProcTime: 700
elapsed time 00:11:41


Msieve v. 1.54 (SVN 1032M)
random seeds: 01136ac8 cbb3b3ea
factoring 54751803303494216593859657778270676039019951236458998444501974158275855048569650167575313274903449184097245606952742831285383382333213394902338151038176860798719 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 41
A1: 0
A2: 0
A3: 0
A4: 0
A5: 2200
skew 1.00, size 1.274e-13, alpha -0.161, combined = 2.375e-11 rroots = 1

commencing linear algebra
read 2676515 cycles
cycles contain 9432718 unique relations
read 9432718 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1184.1 MB
read 2676515 cycles
matrix is 2676338 x 2676515 (986.0 MB) with weight 290130048 (108.40/col)
sparse part has weight 229035627 (85.57/col)
filtering completed in 2 passes
matrix is 2675111 x 2675288 (985.9 MB) with weight 290083569 (108.43/col)
sparse part has weight 229019064 (85.61/col)
matrix starts at (0, 0)
matrix is 2675111 x 2675288 (985.9 MB) with weight 290083569 (108.43/col)
sparse part has weight 229019064 (85.61/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2675063 x 2675288 (940.4 MB) with weight 239536886 (89.54/col)
sparse part has weight 219774793 (82.15/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 891.8 MB
linear algebra at 0.1%, ETA 2h26m
checkpointing every 1050000 dimensions
lanczos halted after 42302 iterations (dim = 2675060)
recovered 36 nontrivial dependencies
BLanczosTime: 9038
elapsed time 02:30:39


Msieve v. 1.54 (SVN 1032M)
random seeds: 698bb2d8 261ed19d
factoring 54751803303494216593859657778270676039019951236458998444501974158275855048569650167575313274903449184097245606952742831285383382333213394902338151038176860798719 (161 digits)
searching for 15-digit factors
commencing number field sieve (161-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 41
A1: 0
A2: 0
A3: 0
A4: 0
A5: 2200
skew 1.00, size 1.274e-13, alpha -0.161, combined = 2.375e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1336845 cycles
cycles contain 4714448 unique relations
read 4714448 relations
multiplying 4714448 relations
multiply complete, coefficients have about 154.17 million bits
initial square root is modulo 341311
GCD is N, no factor found
reading relations for dependency 2
read 1336745 cycles
cycles contain 4714836 unique relations
read 4714836 relations
multiplying 4714836 relations
multiply complete, coefficients have about 154.19 million bits
initial square root is modulo 341521
sqrtTime: 851
p72 factor: 205876788736852464264102384655706161669050752862728492889660247972993037
p90 factor: 265944517783774357832691277738545954444635522642201160584531766404806525380238004061078587
elapsed time 00:14:13

CADO-NFS/Msieve

21204101723093319393057409417257740628448492776274037040536303447050895249616780445070775635122136966062375087375197709353740552491001083204899165297087558922871897<164>

28806669422500081188071349718018690346319161322931<50>
736083072017044445669548286976268825172425586398368111355089742530999651258695340037557930935113263342936467969987<114>

21204101723093319393057409417257740628448492776274037040536303447050895249616780445070775635122136966062375087375197709353740552491001083204899165297087558922871897=28806669422500081188071349718018690346319161322931*736083072017044445669548286976268825172425586398368111355089742530999651258695340037557930935113263342936467969987

cado polynomial
n: 21204101723093319393057409417257740628448492776274037040536303447050895249616780445070775635122136966062375087375197709353740552491001083204899165297087558922871897
skew: 0.76
type: snfs
c0: 41
c6: 220
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 220*x^6+41
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12100000
tasks.lim1 = 12100000
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: 736083072017044445669548286976268825172425586398368111355089742530999651258695340037557930935113263342936467969987 28806669422500081188071349718018690346319161322931
Info:Square Root: Total cpu/real time for sqrt: 1539.9/453.376
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29345817
Info:Lattice Sieving: Average J: 1893.44 for 4360075 special-q, max bucket fill -bkmult 1.0,1s:1.165430
Info:Lattice Sieving: Total time: 811807s
Info:Square Root: Total cpu/real time for sqrt: 1539.9/453.376
Info:Quadratic Characters: Total cpu/real time for characters: 93.07/40.6382
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 124.77/146.213
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 145.20000000000002s
Info:Filtering - Merging: Merged matrix has 2652349 rows and total weight 453123237 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 720.98/200.612
Info:Filtering - Merging: Total cpu/real time for replay: 104.69/91.8078
Info:Linear Algebra: Total cpu/real time for bwc: 123331/31601.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 79033.05, WCT time 20198.49, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (82944 iterations)
Info:Linear Algebra: Lingen CPU time 574.73, WCT time 145.83
Info:Linear Algebra: Mksol: CPU time 42758.42,  WCT time 10926.36, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (41472 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 183.04/47.0353
Info:Generate Factor Base: Total cpu/real time for makefb: 7.95/3.18254
Info:Filtering - Singleton removal: Total cpu/real time for purge: 430.84/476.845
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 548.81/550.704
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 451.8s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.68273e+06/138298
Info:root: Cleaning up computation data in /tmp/cado.jxewlyf_
736083072017044445669548286976268825172425586398368111355089742530999651258695340037557930935113263342936467969987 28806669422500081188071349718018690346319161322931

cado-nfs-3.0.0

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

49207879850238774932489912987221618564053232518763183877506907983962997656731963325234736638280464035230555534538667089014192546942517197822129977671843227207659823338860439609525409<182>

30427996762266309478721135997936755354738395619647107729447351028140324076618847843087951<89>
1617190912523737229375716675399991549083457438556789125132133932976597369772640116307003001359<94>

49207879850238774932489912987221618564053232518763183877506907983962997656731963325234736638280464035230555534538667089014192546942517197822129977671843227207659823338860439609525409=30427996762266309478721135997936755354738395619647107729447351028140324076618847843087951*1617190912523737229375716675399991549083457438556789125132133932976597369772640116307003001359

cado polynomial
n: 49207879850238774932489912987221618564053232518763183877506907983962997656731963325234736638280464035230555534538667089014192546942517197822129977671843227207659823338860439609525409
skew: 1.80
type: snfs
c0: 205
c5: 11
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 11*x^5+205
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13000000
tasks.lim1 = 13000000
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: 30427996762266309478721135997936755354738395619647107729447351028140324076618847843087951 1617190912523737229375716675399991549083457438556789125132133932976597369772640116307003001359
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: 5.43/2.23042
Info:Generate Free Relations: Total cpu/real time for freerel: 98.79/25.4055
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30351672
Info:Lattice Sieving: Average J: 1893.37 for 4026770 special-q, max bucket fill -bkmult 1.0,1s:1.136740
Info:Lattice Sieving: Total time: 972719s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.3/157.704
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 156.49999999999997s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 527.1/531.794
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 464.5999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 465.1/540.66
Info:Filtering - Merging: Merged matrix has 2713353 rows and total weight 462391050 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 381.52/110.322
Info:Filtering - Merging: Total cpu/real time for replay: 104.64/92.0553
Info:Linear Algebra: Total cpu/real time for bwc: 131970/33873.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 21679.61, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (84992 iterations)
Info:Linear Algebra: Lingen CPU time 550.48, WCT time 159.53
Info:Linear Algebra: Mksol: WCT time 11741.02, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (42496 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 93.68/41.155
Info:Square Root: Total cpu/real time for sqrt: 690.19/218.152
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.94434e+06/228864
30427996762266309478721135997936755354738395619647107729447351028140324076618847843087951 1617190912523737229375716675399991549083457438556789125132133932976597369772640116307003001359

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)

2444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<196>

133847907008974165416726785238473125656386676331<48>
18262851463792785302404893664396092758157756934387695704742235137911239465916250049387416609237886485726480277100893540116149440927005054900514665379<149>

Number: n
N=2444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Sep 21 23:31:43 2008  prp48 factor: 133847907008974165416726785238473125656386676331
Sun Sep 21 23:31:43 2008  prp149 factor: 18262851463792785302404893664396092758157756934387695704742235137911239465916250049387416609237886485726480277100893540116149440927005054900514665379
Sun Sep 21 23:31:43 2008  elapsed time 24:58:19 (Msieve 1.37)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 183.83 hours.
Scaled time: 236.96 units (timescale=1.289).
Factorization parameters were as follows:
name: KA_2_4_194_9
n: 2444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
type: snfs
skew: 1.13
deg: 5
c5: 22
c0: 41
m: 1000000000000000000000000000000000000000
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16100001)
Primes: RFBsize:639851, AFBsize:639690, largePrimes:15700927 encountered
Relations: rels:16181449, finalFF:1303141
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 182.76 hours.
Total relation processing time: 1.08 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,52,52,2.5,2.5,100000
total time: 183.83 hours.
 --------- CPU info (if available) ----------

3450174666552499603958825634868719551155941132530381444028934776059628299672087790690357251<91>

5803154930334451126145780382617113<34>
594534302111706146898488870469731843809863616765324450427<57>

Thu Jul 17 23:11:07 2008  Msieve v. 1.36
Thu Jul 17 23:11:07 2008  random seeds: 1f8931f2 b1016748
Thu Jul 17 23:11:07 2008  factoring 3450174666552499603958825634868719551155941132530381444028934776059628299672087790690357251 (91 digits)
Thu Jul 17 23:11:08 2008  no P-1/P+1/ECM available, skipping
Thu Jul 17 23:11:08 2008  commencing quadratic sieve (91-digit input)
Thu Jul 17 23:11:08 2008  using multiplier of 11
Thu Jul 17 23:11:08 2008  using 64kb Opteron sieve core
Thu Jul 17 23:11:08 2008  sieve interval: 18 blocks of size 65536
Thu Jul 17 23:11:08 2008  processing polynomials in batches of 6
Thu Jul 17 23:11:08 2008  using a sieve bound of 1684919 (63529 primes)
Thu Jul 17 23:11:08 2008  using large prime bound of 155012548 (27 bits)
Thu Jul 17 23:11:08 2008  using double large prime bound of 552917357712160 (42-49 bits)
Thu Jul 17 23:11:08 2008  using trial factoring cutoff of 49 bits
Thu Jul 17 23:11:08 2008  polynomial 'A' values have 12 factors
Fri Jul 18 00:45:24 2008  64103 relations (17260 full + 46843 combined from 724321 partial), need 63625
Fri Jul 18 00:45:24 2008  begin with 741581 relations
Fri Jul 18 00:45:25 2008  reduce to 156628 relations in 10 passes
Fri Jul 18 00:45:25 2008  attempting to read 156628 relations
Fri Jul 18 00:45:26 2008  recovered 156628 relations
Fri Jul 18 00:45:26 2008  recovered 134292 polynomials
Fri Jul 18 00:45:26 2008  attempting to build 64103 cycles
Fri Jul 18 00:45:26 2008  found 64103 cycles in 5 passes
Fri Jul 18 00:45:26 2008  distribution of cycle lengths:
Fri Jul 18 00:45:26 2008     length 1 : 17260
Fri Jul 18 00:45:26 2008     length 2 : 12150
Fri Jul 18 00:45:26 2008     length 3 : 11287
Fri Jul 18 00:45:26 2008     length 4 : 8555
Fri Jul 18 00:45:26 2008     length 5 : 6019
Fri Jul 18 00:45:26 2008     length 6 : 3774
Fri Jul 18 00:45:26 2008     length 7 : 2313
Fri Jul 18 00:45:26 2008     length 9+: 2745
Fri Jul 18 00:45:26 2008  largest cycle: 17 relations
Fri Jul 18 00:45:27 2008  matrix is 63529 x 64103 (16.6 MB) with weight 3834011 (59.81/col)
Fri Jul 18 00:45:27 2008  sparse part has weight 3834011 (59.81/col)
Fri Jul 18 00:45:28 2008  filtering completed in 3 passes
Fri Jul 18 00:45:28 2008  matrix is 59293 x 59357 (15.4 MB) with weight 3550633 (59.82/col)
Fri Jul 18 00:45:28 2008  sparse part has weight 3550633 (59.82/col)
Fri Jul 18 00:45:28 2008  saving the first 48 matrix rows for later
Fri Jul 18 00:45:28 2008  matrix is 59245 x 59357 (9.8 MB) with weight 2743225 (46.22/col)
Fri Jul 18 00:45:28 2008  sparse part has weight 1973750 (33.25/col)
Fri Jul 18 00:45:28 2008  matrix includes 64 packed rows
Fri Jul 18 00:45:28 2008  using block size 23742 for processor cache size 1024 kB
Fri Jul 18 00:45:28 2008  commencing Lanczos iteration
Fri Jul 18 00:45:28 2008  memory use: 8.8 MB
Fri Jul 18 00:45:55 2008  lanczos halted after 939 iterations (dim = 59240)
Fri Jul 18 00:45:56 2008  recovered 14 nontrivial dependencies
Fri Jul 18 00:45:56 2008  prp34 factor: 5803154930334451126145780382617113
Fri Jul 18 00:45:56 2008  prp57 factor: 594534302111706146898488870469731843809863616765324450427

Fri Jul 18 00:45:56 2008  elapsed time 01:34:49

Msieve v. 1.36

Opteron-2.8GHz; Linux

595309614536835170703692521804777320149747319345835803969706890949888657754519139375935361628415547985869092384494449964994035795918414949618527899064670369476233369021332938978597041786922253<192>

1897620275559982337516555558951<31>

313713772035430533818551391590458721020856491086140653105242080969835209074220644870655195685240555478883046828465009236909425448182270062487091452141001532415403<162>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=614666195
Step 1 took 7800ms
Step 2 took 5917ms
********** Factor found in step 2: 1897620275559982337516555558951
Found probable prime factor of 31 digits: 1897620275559982337516555558951
Composite cofactor 313713772035430533818551391590458721020856491086140653105242080969835209074220644870655195685240555478883046828465009236909425448182270062487091452141001532415403 has 162 digits

GMP-ECM 6.2.1

313713772035430533818551391590458721020856491086140653105242080969835209074220644870655195685240555478883046828465009236909425448182270062487091452141001532415403<162>

13742426398771020930285839133688138852638410297095570687<56>
22828120954206879847082528675958519605157958637049617637299977821191815903578110135964497354004054785674069<107>

313713772035430533818551391590458721020856491086140653105242080969835209074220644870655195685240555478883046828465009236909425448182270062487091452141001532415403=13742426398771020930285839133688138852638410297095570687*22828120954206879847082528675958519605157958637049617637299977821191815903578110135964497354004054785674069

cado polynomial
n: 313713772035430533818551391590458721020856491086140653105242080969835209074220644870655195685240555478883046828465009236909425448182270062487091452141001532415403
skew: 1.80
type: snfs
c0: 205
c5: 11
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 11*x^5+205
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15700000
tasks.lim1 = 15700000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 13742426398771020930285839133688138852638410297095570687 22828120954206879847082528675958519605157958637049617637299977821191815903578110135964497354004054785674069
Info:Square Root: Total cpu/real time for sqrt: 1007.16/319.618
Info:Filtering - Singleton removal: Total cpu/real time for purge: 644.58/761.939
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49520354
Info:Lattice Sieving: Average J: 1893.85 for 5130161 special-q, max bucket fill -bkmult 1.0,1s:1.145640
Info:Lattice Sieving: Total time: 1.63786e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.62/3.05174
Info:Linear Algebra: Total cpu/real time for bwc: 258541/66109.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 166568.06, WCT time 42466.25, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (116224 iterations)
Info:Linear Algebra: Lingen CPU time 823.7, WCT time 209.45
Info:Linear Algebra: Mksol: CPU time 89635.33,  WCT time 22871.62, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (58368 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 211.57/253.675
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 252.7s
Info:Filtering - Merging: Merged matrix has 3713914 rows and total weight 633054305 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1075.59/296.795
Info:Filtering - Merging: Total cpu/real time for replay: 150.37/130.978
Info:Square Root: Total cpu/real time for sqrt: 1007.16/319.618
Info:Quadratic Characters: Total cpu/real time for characters: 134.75/56.7629
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 903.21/910.146
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 741.6999999999999s
Info:Generate Free Relations: Total cpu/real time for freerel: 233.49/60.8029
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.40334e+06/476372
Info:root: Cleaning up computation data in /tmp/cado.7mq1wl40
13742426398771020930285839133688138852638410297095570687 22828120954206879847082528675958519605157958637049617637299977821191815903578110135964497354004054785674069

cado-nfs-3.0.0

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

113541809299271783055652770885016469089846751471641880496437148365303522769502253999390524005129241324133288892740872617759932775214436935090164856781019534764303241372583158906626455132319<189>

99967677586090273831098517753605739440349987045268697889849<59>
1135785206188187413292671781336627474162488504236531071026756688564761743967771710102043764893579621382609122133748631356999003031<130>

N=113541809299271783055652770885016469089846751471641880496437148365303522769502253999390524005129241324133288892740872617759932775214436935090164856781019534764303241372583158906626455132319
  ( 189 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=99967677586090273831098517753605739440349987045268697889849 (pp59)
 r2=1135785206188187413292671781336627474162488504236531071026756688564761743967771710102043764893579621382609122133748631356999003031 (pp130)
Version: Msieve v. 1.48
Total time:
Scaled time: 263.33 units (timescale=1.335).
Factorization parameters were as follows:
n: 113541809299271783055652770885016469089846751471641880496437148365303522769502253999390524005129241324133288892740872617759932775214436935090164856781019534764303241372583158906626455132319
m: 10000000000000000000000000000000000000000
deg: 5
c5: 22
c0: 41
skew: 1.13
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 1600000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7950000, 19150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2668149 x 2668377
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
total time:

110281912292814553810278820886397790561483517275889940492711115150558549636964135117367178604155424509641768765399762067005847454170735790957<141>

330339604811711267297717657513076361<36>
98925041246554540448114569641042954062293<41>
3374717342088131963785890619806166620582933081953540929990793009<64>

#ECM, then gnfs/Msieve
#
Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3739902623
Step 1 took 19269ms
Step 2 took 16557ms
********** Factor found in step 2: 330339604811711267297717657513076361
Found probable prime factor of 36 digits: 330339604811711267297717657513076361
Composite cofactor 333844052261531363551751769986354954315086292507097564052612942432609377571688862191585189443825054909637 has 105 digits

Number: 24449_201
N=333844052261531363551751769986354954315086292507097564052612942432609377571688862191585189443825054909637
  ( 105 digits)
Divisors found:
 r1=98925041246554540448114569641042954062293
 r2=3374717342088131963785890619806166620582933081953540929990793009
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.640).
Factorization parameters were as follows:
name: 24449_201
n: 333844052261531363551751769986354954315086292507097564052612942432609377571688862191585189443825054909637
skew: 13311.19
# norm 3.73e+14
c5: 12600
c4: 1440916962
c3: -12014813041711
c2: -50543851810534588
c1: 1101519325379670022132
c0: 88313820922993320076000
# alpha -6.41
Y1: 81213642653
Y0: -121514465581815833139
# Murphy_E 2.04e-09
# M 101610898617811713987352624168799700761878918485444785286881499599136886363679267953692098842357271862008
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, 2000001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 305904 x 306152
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,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000

total time: 5.00 hours.

GMP-ECM 6.2.1+pol51+Msieve 1.36

Opteron-2.6GHz; Linux x86_64

15888635762268334379576581717880318318756950234952771472300361357014642039475863272247648784053209719601844820027765899008572732923788398666062837552437098863647261511672307212811181<182>

216894936969399327404338078019586748958024459<45>
73254986881090664873953910856805878991621100829020954171511559977361106719794091897525760088707391900405457227155962380717904832231345959<137>

#
# N = 22x10^202+41 = 24(201)9
#
n: 15888635762268334379576581717880318318756950234952771472300361357014642039475863272247648784053209719601844820027765899008572732923788398666062837552437098863647261511672307212811181
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2200
c0: 41
skew: 0.45
# Murphy_E = 1.03e-11
type: snfs
lss: 1
rlim: 17100000
alim: 17100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 15888635762268334379576581717880318318756950234952771472300361357014642039475863272247648784053209719601844820027765899008572732923788398666062837552437098863647261511672307212811181 (182 digits)
Using B1=40500000, B2=192393771586, polynomial Dickson(12), sigma=1:2087621756
Step 1 took 109435ms
Step 2 took 32825ms
********** Factor found in step 2: 216894936969399327404338078019586748958024459
Found prime factor of 45 digits: 216894936969399327404338078019586748958024459
Prime cofactor 73254986881090664873953910856805878991621100829020954171511559977361106719794091897525760088707391900405457227155962380717904832231345959 has 137 digits

9053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942387<202>

20334617025001623036456051797874969977087099512082033181887892745732650713921249<80>
445225888997833666251265091330295968315737344718479488559782320485075276157873543888006881723934397805015254789157876721363<123>

Number: 24449_203
N=905349...53497942387 ( 202 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=20334617025001623036456051797874969977087099512082033181887892745732650713921249
 r2=445225888997833666251265091330295968315737344718479488559782320485075276157873543888006881723934397805015254789157876721363
Version: Msieve v. 1.37
Scaled time: 0.00 units (timescale=2.512).
Factorization parameters were as follows:
Y0: -10000000000000000000000000000000000
Y1: 1
c0: 205
c6: 11
skew: 1.6
type: snfs
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
rlim: 15000000
alim: 15000000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [7500000, 15100001)
Primes: rational ideals reading, algebraic ideals reading, 
found 4443154 hash collisions in 25,677,752 relations
found 4233772 duplicates and 22662229 unique relations
Relations: 22,662,229 relations and about 20,667,937 large ideals 
Max relations in full relation-set: 19
found 2671198 cycles, need 2587737
building initial matrix
memory use: 997.0 MB
Pruned matrix : 2578133 x 2578381
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 17.90 hours.
Time per square root: 3.50 hours.
Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,15000000,15000000,28,28,56,56,2.5,2.5,100000

total time: 24 CPU-days.

Msieve v. 1.37

Opteron-2.6GHz; Linux x86_64

12026120392845528718588219221157605317789036728828907309465762993638249711428509154951825800180649020850831702407810339879049761330513644286629794746412659875823135854649072285874175910832450493<194>

4904310871337286544524185755176470712307<40>
2452152954481512622270795049820243321458230097530853350647135312427043296974068863863236184000693372294262827389033838980920276892367633232054008440320399<154>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1721115794
Step 1 took 11263ms
Step 2 took 7223ms
********** Factor found in step 2: 4904310871337286544524185755176470712307
Found probable prime factor of 40 digits: 4904310871337286544524185755176470712307
Probable prime cofactor 2452152954481512622270795049820243321458230097530853350647135312427043296974068863863236184000693372294262827389033838980920276892367633232054008440320399 has 154 digits

GMP-ECM 6.3

2445992303002559011805156061961768554868745368167233802450955631271236163094714159753996273981206503801145823069519896141625559431721165053991867825629789214935614101131273<172>

10084894033260686403865145459787886311835007823346171593708023256266473<71>
242540208646268884104640563541296632473316408123914605919215891350758987554014832357972239171122797601<102>

Number: n
N=2445992303002559011805156061961768554868745368167233802450955631271236163094714159753996273981206503801145823069519896141625559431721165053991867825629789214935614101131273  ( 172 digits)
SNFS difficulty: 207 digits.
Divisors found:

Tue Jun 25 07:48:58 2024  prp71 factor: 10084894033260686403865145459787886311835007823346171593708023256266473
Tue Jun 25 07:48:58 2024  prp102 factor: 242540208646268884104640563541296632473316408123914605919215891350758987554014832357972239171122797601
Tue Jun 25 07:48:58 2024  elapsed time 04:14:20 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.994).
Factorization parameters were as follows:
#
# N = 22x10^206+41 = 24(205)9
#
n: 2445992303002559011805156061961768554868745368167233802450955631271236163094714159753996273981206503801145823069519896141625559431721165053991867825629789214935614101131273
m: 100000000000000000000000000000000000000000
deg: 5
c5: 220
c0: 41
skew: 0.71
# Murphy_E = 7.245e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 57200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6015543 hash collisions in 21972011 relations (15128687 unique)
Msieve: matrix is 2758090 x 2758315 (779.8 MB)

Sieving start time: 2024/06/24 03:48:57
Sieving end time  : 2024/06/25 03:28:57

Total sieving time: 23hrs 40min 0secs.

Total relation processing time: 4hrs 2min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 0sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

43273487783510074714892299177772126142681559861785844577980214686193979698590592096680597989016740764865374420837158626199521623848410456069882935034169886755834490823775447<173>

2769619206463044425832541038425990977760520419915581836081831744546903781<73>
15624345643808807613116214828703030284989933714860150706078496313170261668608690346443227550321976587<101>

Number: n
N=43273487783510074714892299177772126142681559861785844577980214686193979698590592096680597989016740764865374420837158626199521623848410456069882935034169886755834490823775447  ( 173 digits)
SNFS difficulty: 208 digits.
Divisors found:

Fri Sep 27 17:01:15 2024  prp73 factor: 2769619206463044425832541038425990977760520419915581836081831744546903781
Fri Sep 27 17:01:15 2024  prp101 factor: 15624345643808807613116214828703030284989933714860150706078496313170261668608690346443227550321976587
Fri Sep 27 17:01:15 2024  elapsed time 03:18:26 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.138).
Factorization parameters were as follows:
#
# N = 22x10^207+41 = 24(206)9
#
n: 43273487783510074714892299177772126142681559861785844577980214686193979698590592096680597989016740764865374420837158626199521623848410456069882935034169886755834490823775447
m: 100000000000000000000000000000000000000000
deg: 5
c5: 2200
c0: 41
skew: 0.45
# Murphy_E = 6.344e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0:       50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 59650000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8385674 hash collisions in 27350555 relations (16980827 unique)
Msieve: matrix is 2490015 x 2490241 (702.9 MB)

Sieving start time: 2024/09/26 05:54:48
Sieving end time  : 2024/09/27 13:36:49

Total sieving time: 31hrs 42min 1secs.

Total relation processing time: 3hrs 9min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 21sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

65916307377143674099233042213702015307365641929340663221088190141212911556874032499375598253887161085235055536713803558970987174852058711222889918819455002403941106984564321534094156484619<188>

19320974360374030305086274238850166923357<41>
3411645093444842987933336142918225881526857717472636316083181784384212281385251780378682375087128070549517823665187177271847793549824513807600012167<148>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2082346926
Step 1 took 10452ms
Step 2 took 6599ms
********** Factor found in step 2: 19320974360374030305086274238850166923357
Found probable prime factor of 41 digits: 19320974360374030305086274238850166923357
Probable prime cofactor 3411645093444842987933336142918225881526857717472636316083181784384212281385251780378682375087128070549517823665187177271847793549824513807600012167 has 148 digits

GMP-ECM 6.3

349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207<210>

24816216128625540911334943192203839578761155392755994343052738822664748273395610387<83>
14071700028576845826594279204496799405997954447206836615001958522294108659387063502864337947107036147765778538156054410825338861<128>

Number: n
N=349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207
  ( 210 digits)
SNFS difficulty: 211 digits.
Divisors found:

Sun Dec  8 22:36:53 2013  prp83 factor: 24816216128625540911334943192203839578761155392755994343052738822664748273395610387
Sun Dec  8 22:36:53 2013  prp128 factor: 14071700028576845826594279204496799405997954447206836615001958522294108659387063502864337947107036147765778538156054410825338861
Sun Dec  8 22:36:53 2013  elapsed time 26:16:45 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.810).
Factorization parameters were as follows:
#
#  22*10^210+41 - 24(209)9
#
#  c210, diff: 211.34
#
skew: 1.133
n: 349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 22
c0: 41
# Murphy_E = 5.08e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 29500000)
Primes: RFBsize:1448221, AFBsize:1447728,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7694401 hash collisions in 50826364 relations (44741739 unique)
Msieve: matrix is 3762372 x 3762597 (1072.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 24hrs 19min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 28min 31sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

44704594287648534213073227166974198904420229149551422587288191940116944807083854553529295082917600026903289825093607687068329888435968380508240193927020738608195251223038857<173>

13611042326959010517135802852418539<35>

3284435770146963377141529499238308089633372651651741462585869015990007527328698400275094754219087094458120166999425513891842986910928803163<139>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=210808315
Step 1 took 7831ms
Step 2 took 5881ms
********** Factor found in step 2: 13611042326959010517135802852418539
Found probable prime factor of 35 digits: 13611042326959010517135802852418539
Composite cofactor 3284435770146963377141529499238308089633372651651741462585869015990007527328698400275094754219087094458120166999425513891842986910928803163 has 139 digits

GMP-ECM 6.3

3284435770146963377141529499238308089633372651651741462585869015990007527328698400275094754219087094458120166999425513891842986910928803163<139>

538330297418877748403017492984337792534004502433507268469406225269<66>
6101153484941840348821883084790130311821906486692190201176197814514826127<73>

Number: 24449_212
N = 3284435770146963377141529499238308089633372651651741462585869015990007527328698400275094754219087094458120166999425513891842986910928803163 (139 digits)
Divisors found:
r1=538330297418877748403017492984337792534004502433507268469406225269 (pp66)
r2=6101153484941840348821883084790130311821906486692190201176197814514826127 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 194.34 hours.
Factorization parameters were as follows:
# Murphy_E = 2.461e-11, selected by Erik Branger
n: 3284435770146963377141529499238308089633372651651741462585869015990007527328698400275094754219087094458120166999425513891842986910928803163
Y0: -882961771229264009645239246
Y1: 97817140466263
c0: -23743209103904764017500874999064725
c1: -188189252628552553648891627025
c2: -9118569484698282451861
c3: 452717866353687721
c4: -19405622358
c5: 6120
skew: 1430266.47
type: gnfs
# selected mechanically
rlim: 17000000
alim: 17000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17000000/17000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23309223
Relations: 4012888 relations
Pruned matrix : 2466677 x 2466904
Polynomial selection time: 0.00 hours.
Total sieving time: 189.01 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.95 hours.
time per square root: 0.25 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,17000000,17000000,28,28,55,55,2.6,2.6,100000
total time: 194.34 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

15171414199661358216177731226443302147625657364706681170408900218010752320373567969489690193786251315170816620906385853990141788784539667118682962987105262300797045060041587917218829042182594219681<197>

436539341872556690582612059348483<33>

34753830283847592738804071750051657443455767979805204464663338020988379023206616942354326289956832078675477590413661930534284878728044411465930827340265212950004107<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=461731222
Step 1 took 14867ms
********** Factor found in step 1: 436539341872556690582612059348483
Found probable prime factor of 33 digits: 436539341872556690582612059348483
Composite cofactor 34753830283847592738804071750051657443455767979805204464663338020988379023206616942354326289956832078675477590413661930534284878728044411465930827340265212950004107 has 164 digits

GMP-ECM 6.3

855681364160478197369038150532577589726313169713334109390450602081464453202582728724458925396814286253090464017794014065106731354449048777807270577508100120038027421139809108310277026935864830281<195>

4147332761552544009257785397767179325263517515531747473980652375753932156640131482472227972497009640827496431328708658500288196381600019689085214441615913613<157>

40342106552120245958616574951174111875928035593432799181993243340685035874722481044661263634895985031074968661097804806629690189249322571940115115017808822483924087498948248685305698045698764897482414730267<206>

23042807412961935477305997257996866399527103391<47>
1750746158188484759849013743254180522685865885668902934559320320164023663433017472950140375191591104027639268902065270808781230531479605310599780435066323512837<160>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3035338448
Step 1 took 452842ms
Step 2 took 110074ms
********** Factor found in step 2: 23042807412961935477305997257996866399527103391
Found probable prime factor of 47 digits: 23042807412961935477305997257996866399527103391

1476920539984156119677690229339246614360711345283050428671009419249739817263995570695427928840311509812595477119863660802040297592749912075873061711682473430773052897284898904316333751872860566718767443557<205>

19816775695278758850044792803904696762387701360948867790634370398980990407517679056780494865801745296043086844341517552703217136705228157514985551620367260863047730512092479819075287976190893436548865420187692231<212>

161426185612224880667123058354044620261<39>

122760601820092967260015258383851477274045325521629580220449667477166729702118664647894061131597157689683003874868063434873380338876856036693022355907725384581404768846611771<174>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3192083699
Step 1 took 13869ms
Step 2 took 7441ms
********** Factor found in step 2: 161426185612224880667123058354044620261
Found probable prime factor of 39 digits: 161426185612224880667123058354044620261
Composite cofactor 122760601820092967260015258383851477274045325521629580220449667477166729702118664647894061131597157689683003874868063434873380338876856036693022355907725384581404768846611771 has 174 digits

GMP-ECM 6.3

122760601820092967260015258383851477274045325521629580220449667477166729702118664647894061131597157689683003874868063434873380338876856036693022355907725384581404768846611771<174>

1618114467719855020382750604316934991269373100245722966273638171160375047583537339<82>
75866450902623393762130146806471400951032659410207585179274135002390661889838093944433327489<92>

Number: 24449_219
N = 122760601820092967260015258383851477274045325521629580220449667477166729702118664647894061131597157689683003874868063434873380338876856036693022355907725384581404768846611771 (174 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1618114467719855020382750604316934991269373100245722966273638171160375047583537339 (pp82)
r2=75866450902623393762130146806471400951032659410207585179274135002390661889838093944433327489 (pp92)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 72.75 hours.
Factorization parameters were as follows:
n: 122760601820092967260015258383851477274045325521629580220449667477166729702118664647894061131597157689683003874868063434873380338876856036693022355907725384581404768846611771
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: 205
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8021076 relations
Pruned matrix : 6880942 x 6881167
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.21 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 34.54 hours.
time per square root: 1.64 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 72.75 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

7307299274212530179253305740194349864383041826114742983847482643915772069984715315722307669370890078573648136795314116296928340372381024341228035360946585001183191<163>

1767660826660349828408464843877277601<37>
4133880869000330868195583192538782338908039992394287605055068465417051400721010293883978780705363306483260225222976351900521591<127>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2937922008
Step 1 took 9641ms
Step 2 took 6911ms
********** Factor found in step 2: 1767660826660349828408464843877277601
Found probable prime factor of 37 digits: 1767660826660349828408464843877277601
Probable prime cofactor 4133880869000330868195583192538782338908039992394287605055068465417051400721010293883978780705363306483260225222976351900521591 has 127 digits

GMP-ECM 6.3

244541937401474521148414925749453633853441200206280160897271416551424735148226645894126150734546938560617404456199578089205799230197312173820876665306529455082869700292354904909<177>

213984365366187324045150137906866763815696913851<48>
1142802825725116003147700215318888850238252565178247210516007044849292861791891391116026324993302305841807112475797513231273092759<130>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2391993484
Step 1 took 395313ms
Step 2 took 103357ms
********** Factor found in step 2: 213984365366187324045150137906866763815696913851
Found probable prime factor of 48 digits: 213984365366187324045150137906866763815696913851

738763383734586395902221584116254721985285668624424701739392799524429947686239262177700257340295407915427799541121389262948881561220611894628343368920725448190778510180593330153124392495457597433422284446781<207>

702642384336562497233657939278513397689947033819960020068549559130617086425157624390197187777727204196566739561124454761629428329347751850200098058268927665817351452906758604498891691598339533679571<198>

32265687486964365037361987197678696333<38>
21776767800792606478660023848954891648202836264980706673395584889729130627156842544011071436835277892214789410200388230141375850346486271308792236829839612504287<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=7089448
Step 1 took 37713ms
Step 2 took 12653ms
********** Factor found in step 2: 32265687486964365037361987197678696333
Found probable prime factor of 38 digits: 32265687486964365037361987197678696333

207426978387732892176686223099852942158957444453706332865505781751997038919931422235974970609769764439864150306138349725391410419664313136679492304283914004716504267763896228695112597739161369102320112627<204>

50583173289897470459892393817659262230484201839176130151847628233523317064428254564077764905969640103550101613432854623148334826881997947790076455569725971705690423746072047025447182785223609389874937725503379081284080801<221>

12682539154626678628766508943037949089<38>

3988410575609725319631483040811888376977095017013150901435942103276174202059038064178640440531627736919080304118476459975728057645776464437320049135952734409887002705979683295051051009<184>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1965441249
Step 1 took 157271ms
Step 2 took 48379ms
********** Factor found in step 2: 12682539154626678628766508943037949089
Found probable prime factor of 38 digits: 12682539154626678628766508943037949089

107059798537342539394590569460041535900542615191875761661222475413870367162812168599442018534840343341150815719462125469059864823489179764940091795995889392943879913120496502611889879964273087<192>

62336193812473771032701379719201401<35>

1717458060712063571436742795440760791843679139598706910724461640375632876242402170323446081055825723158737164477570647823302831198066554845415666721654071287<157>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=703745948
Step 1 took 10593ms
Step 2 took 7846ms
********** Factor found in step 2: 62336193812473771032701379719201401
Found probable prime factor of 35 digits: 62336193812473771032701379719201401
Composite cofactor 1717458060712063571436742795440760791843679139598706910724461640375632876242402170323446081055825723158737164477570647823302831198066554845415666721654071287 has 157 digits

GMP-ECM 6.3

1717458060712063571436742795440760791843679139598706910724461640375632876242402170323446081055825723158737164477570647823302831198066554845415666721654071287<157>

3075025271518873584378548886348327687822731354937938265574857126025905283<73>
558518356456870610830420813908512572811179027063195664770937351516024005361795441789<84>

Msieve v. 1.53 (SVN 1005)
Wed Jan 31 19:52:32 2024
random seeds: 099a72dc d4a6d119
factoring 1717458060712063571436742795440760791843679139598706910724461640375632876242402170323446081055825723158737164477570647823302831198066554845415666721654071287 (157 digits)
searching for 15-digit factors
commencing number field sieve (157-digit input)
R0: -1565899259311145289524810610965
R1: 44736701120358729206063
A0: -10114463868075145946295958866252496794
A1: -7720404326272766897472796738049
A2: 24738633771276890555415764
A3: 10746842172224749495
A4: -5041498395864
A5: 864360
skew 1819622.51, size 3.120e-015, alpha -7.250, combined = 2.243e-012 rroots = 3

commencing relation filtering
setting target matrix density to 125.0
estimated available RAM is 32719.2 MB
commencing duplicate removal, pass 1
read 10M relations
read 20M relations
read 30M relations
read 40M relations
read 50M relations
error -1 reading relation 52403746
read 60M relations
error -15 reading relation 62604926
read 70M relations
error -15 reading relation 79666149
read 80M relations
error -15 reading relation 80581466
read 90M relations
read 100M relations
read 110M relations
read 120M relations
error -15 reading relation 127203750
read 130M relations
error -15 reading relation 134704989
read 140M relations
error -15 reading relation 140083110
error -1 reading relation 141238207
error -9 reading relation 141847163
error -15 reading relation 146454790
error -9 reading relation 147233266
error -15 reading relation 148652853
error -15 reading relation 149149928
read 150M relations
error -15 reading relation 151849741
error -1 reading relation 153504208
read 160M relations
error -15 reading relation 165875853
read 170M relations
error -15 reading relation 176381254
error -9 reading relation 176801109
error -15 reading relation 177035507
skipped 7 relations with composite factors
found 25905079 hash collisions in 177870660 relations
added 121913 free relations
commencing duplicate removal, pass 2
found 23167283 duplicates and 154825290 unique relations
memory use: 788.8 MB
reading ideals above 56164352
commencing singleton removal, initial pass
memory use: 3012.0 MB
reading all ideals from disk
memory use: 2710.1 MB
commencing in-memory singleton removal
begin with 154825290 relations and 135630118 unique ideals
reduce to 84972396 relations and 57626845 ideals in 13 passes
max relations containing the same ideal: 29
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 3077.1 MB
keeping 63869157 ideals with weight <= 200, target excess is 453800
commencing in-memory singleton removal
begin with 84972396 relations and 63869157 unique ideals
reduce to 84972004 relations and 63868765 ideals in 6 passes
max relations containing the same ideal: 200
removing 9205069 relations and 7205069 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 75766935 relations and 63868765 unique ideals
reduce to 75032330 relations and 55907666 ideals in 8 passes
max relations containing the same ideal: 193
removing 7150267 relations and 5150267 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 67882063 relations and 55907666 unique ideals
reduce to 67371577 relations and 50233292 ideals in 8 passes
max relations containing the same ideal: 184
removing 6576457 relations and 4576457 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 60795120 relations and 50233292 unique ideals
reduce to 60341509 relations and 45190689 ideals in 7 passes
max relations containing the same ideal: 171
removing 6279149 relations and 4279149 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 54062360 relations and 45190689 unique ideals
reduce to 53626490 relations and 40462413 ideals in 7 passes
max relations containing the same ideal: 155
removing 6088030 relations and 4088030 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 47538460 relations and 40462413 unique ideals
reduce to 47101956 relations and 35923379 ideals in 7 passes
max relations containing the same ideal: 145
removing 5959437 relations and 3959437 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 41142519 relations and 35923379 unique ideals
reduce to 40684276 relations and 31488665 ideals in 8 passes
max relations containing the same ideal: 131
removing 5864191 relations and 3864191 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 34820085 relations and 31488665 unique ideals
reduce to 34326947 relations and 27110163 ideals in 7 passes
max relations containing the same ideal: 116
removing 5799826 relations and 3799826 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 28527121 relations and 27110163 unique ideals
reduce to 27978316 relations and 22733647 ideals in 8 passes
max relations containing the same ideal: 102
removing 5749592 relations and 3749592 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 22228724 relations and 22733647 unique ideals
reduce to 21587560 relations and 18303895 ideals in 9 passes
max relations containing the same ideal: 85
removing 5700035 relations and 3700035 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 15887525 relations and 18303895 unique ideals
reduce to 15097943 relations and 13750777 ideals in 8 passes
max relations containing the same ideal: 66
removing 2717825 relations and 1897068 ideals in 820757 cliques
commencing in-memory singleton removal
begin with 12380118 relations and 13750777 unique ideals
reduce to 12059784 relations and 11517579 ideals in 8 passes
max relations containing the same ideal: 57
removing 99702 relations and 83906 ideals in 15796 cliques
commencing in-memory singleton removal
begin with 11960082 relations and 11517579 unique ideals
reduce to 11959638 relations and 11433227 ideals in 4 passes
max relations containing the same ideal: 57
relations with 0 large ideals: 1466
relations with 1 large ideals: 10959
relations with 2 large ideals: 143350
relations with 3 large ideals: 768439
relations with 4 large ideals: 2101703
relations with 5 large ideals: 3270507
relations with 6 large ideals: 3088605
relations with 7+ large ideals: 2574609
commencing 2-way merge
reduce to 7590526 relation sets and 7064115 unique ideals
commencing full merge
memory use: 935.2 MB
found 3476896 cycles, need 3430315
weight of 3430315 cycles is about 428848258 (125.02/cycle)
distribution of cycle lengths:
1 relations: 75988
2 relations: 167690
3 relations: 218843
4 relations: 241275
5 relations: 260211
6 relations: 265285
7 relations: 265957
8 relations: 258090
9 relations: 243254
10+ relations: 1433722
heaviest cycle: 27 relations
commencing cycle optimization
start with 31236067 relations
pruned 1513083 relations
memory use: 815.8 MB
distribution of cycle lengths:
1 relations: 75988
2 relations: 172379
3 relations: 229024
4 relations: 252632
5 relations: 275050
6 relations: 280320
7 relations: 282162
8 relations: 272811
9 relations: 256916
10+ relations: 1333033
heaviest cycle: 26 relations
RelProcTime: 4979

commencing linear algebra
read 3430315 cycles
cycles contain 11694809 unique relations
read 11694809 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1620.0 MB
read 3430315 cycles
matrix is 3430136 x 3430315 (1667.0 MB) with weight 510095545 (148.70/col)
sparse part has weight 395824603 (115.39/col)
filtering completed in 2 passes
matrix is 3430035 x 3430214 (1667.0 MB) with weight 510089688 (148.70/col)
sparse part has weight 395822197 (115.39/col)
matrix starts at (0, 0)
matrix is 3430035 x 3430214 (1667.0 MB) with weight 510089688 (148.70/col)
sparse part has weight 395822197 (115.39/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 3429987 x 3430214 (1623.3 MB) with weight 437124831 (127.43/col)
sparse part has weight 391247604 (114.06/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (4 threads)
memory use: 1333.2 MB
linear algebra at 0.0%, ETA 6h55m3430214 dimensions (0.0%, ETA 6h55m)
checkpointing every 490000 dimensions214 dimensions (0.1%, ETA 7h 4m)
linear algebra completed 3429851 of 3430214 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 54240 iterations (dim = 3429986)
recovered 30 nontrivial dependencies
BLanczosTime: 25994

commencing square root phase
handling dependencies 1 to 64
reading relations for dependency 1
read 1715357 cycles
cycles contain 5849742 unique relations
read 5849742 relations
multiplying 5849742 relations
multiply complete, coefficients have about 322.73 million bits
initial square root is modulo 617971
sqrtTime: 1165
p73 factor: 3075025271518873584378548886348327687822731354937938265574857126025905283
p84 factor: 558518356456870610830420813908512572811179027063195664770937351516024005361795441789
elapsed time 08:55:39

6210694734222941261863628947284022397624697382615343736372168174015578323871923474921248893979141372671082979723330150012999400229449026770796546905853995439927640378544873978713207541887<187>

64491764875094490620648141803283240675027553893861519572770646651639596594869760003759401099305921993861005215944299709132622719993647297813793820092393780162728422389656680127352748441593567<191>

4440695048663069795080541379967627<34>

14522898818397942618003788998567981628797714642550254719792003282928694075247524621812204528105988994627525347705522456035238186645317164879527006906929124221<158>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1104188298
Step 1 took 8892ms
Step 2 took 5725ms
********** Factor found in step 2: 4440695048663069795080541379967627
Found probable prime factor of 34 digits: 4440695048663069795080541379967627
Composite cofactor 14522898818397942618003788998567981628797714642550254719792003282928694075247524621812204528105988994627525347705522456035238186645317164879527006906929124221 has 158 digits

GMP-ECM 6.3

14522898818397942618003788998567981628797714642550254719792003282928694075247524621812204528105988994627525347705522456035238186645317164879527006906929124221<158>

1082671079579275513381606552308421069926192940587872266957<58>
13413952854491616277616935700488986361368072458376220396958604307885347297540928686012278510824221553<101>

p58 factor: 1082671079579275513381606552308421069926192940587872266957
p101 factor: 13413952854491616277616935700488986361368072458376220396958604307885347297540928686012278510824221553

Complete log at: https://pastebin.com/5M1uc3E3

GGNFS + Msieve

LA step using GTX 1660 (under 3 hours).

1544177725877158578315219669646653313236926062618489180527550664164077605880798726875225186070663662121256387567582961455122918073274361896914595147028710489158153361321142673873<178>

508121865734484692698712408437288777<36>

3038990899643860594891178635282511228467503583369985554245662188221539203949973111835150670234023405511977729102488469756012973780804847269449<142>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2896247301
Step 1 took 10452ms
Step 2 took 7020ms
********** Factor found in step 2: 508121865734484692698712408437288777
Found probable prime factor of 36 digits: 508121865734484692698712408437288777
Composite cofactor 3038990899643860594891178635282511228467503583369985554245662188221539203949973111835150670234023405511977729102488469756012973780804847269449 has 142 digits

GMP-ECM 6.3

3038990899643860594891178635282511228467503583369985554245662188221539203949973111835150670234023405511977729102488469756012973780804847269449<142>

6158565892821358104655917408254560157<37>
493457560174230775046538891895440553013873243739984481421637270474101269513343370698785884481409261766557<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2507086013
Step 1 took 16533ms
Step 2 took 6956ms
********** Factor found in step 2: 6158565892821358104655917408254560157
Found probable prime factor of 37 digits: 6158565892821358104655917408254560157

124083474337281443880428652002256063169768753525098702763677382966723068245910885504794134235758601240834743372814438804286520022560631697687535250987027636773829667230682459108855047941342357586012408347433728144388042865200225606317<234>

507705252745103239420987039969821011999<39>
244400611706056876444868581654962290386674144092686258216892993803615758530491857257260425118946716774283490588567358349469786627768854761384808204646184757734892152452297833430213066879593589683<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=306272126
Step 1 took 34759ms
Step 2 took 11764ms
********** Factor found in step 2: 507705252745103239420987039969821011999
Found probable prime factor of 39 digits: 507705252745103239420987039969821011999

2542138820171079042813977384256445111200975095715151561958341471714721045559475840197586325129107628519766324286035928461831212165613954925249572727545021435995608433386578316007609007128422361275119975058674527464059709<220>

89822555197531017273038241176920823117593175245228528902366938405836658124619720753530865514486157890069861356717993527557080500558741133381519103233675038264564935602932313312308989220515880565864009850516227590731339<218>

251330145115629946288219915209597774944087227321161453928954960757496880783788898903952678732441925700536484135360967886661430452618557326664590360453175287544240590734482534298691883105530383386402153238671567036402443<219>

153815646138911673878918516837496928492311518965672249380627238799659996309917505992585034464877023053682980929596664442081693655663698555961378770833666715581975013434641327130127796846130063663<195>

489651228416470582154263042048293894850108912940028303827287994307068659757392807719084132322125595702436241548558370461107080072610496581712223597748563042360510278903550894816018483410461283340764417500242926659794389<219>

118160890504908897790996167651108964731321399347005063885663<60>
4143936511684705197495322092433942556800523518076479398591445121980609489187119502060211629617214803958270095880603021229265696418391889948661552884574981289803<160>

Number: 24449_240
N = 489651228416470582154263042048293894850108912940028303827287994307068659757392807719084132322125595702436241548558370461107080072610496581712223597748563042360510278903550894816018483410461283340764417500242926659794389 (219 digits)
SNFS difficulty: 242 digits.
Divisors found:
r1=118160890504908897790996167651108964731321399347005063885663 (pp60)
r2=4143936511684705197495322092433942556800523518076479398591445121980609489187119502060211629617214803958270095880603021229265696418391889948661552884574981289803 (pp160)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 77.71 hours.
Factorization parameters were as follows:
n: 489651228416470582154263042048293894850108912940028303827287994307068659757392807719084132322125595702436241548558370461107080072610496581712223597748563042360510278903550894816018483410461283340764417500242926659794389 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 22
c0: 41
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 61638635
Relations: 15200260 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.45 hours.
Total relation processing time: 0.60 hours.
Pruned matrix : 11690692 x 11690917
Matrix solve time: 58.17 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: snfs,242,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 77.71 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_Factory, Msieve

71952684147769477306322761434361700751338333252747962376107604420190620589608100348669657779647723380328637010093024423440206581467604566895602413805721896506648093271743784966467754877688075380329484743535347234736470166002322137479<233>

90652595082645259158451519990657640128493306505182303239269981453688140882967329037804502097449907435725667028739300905942176282771526040099234445177550924276302429254328774759441494060258664467548121332154652462548683<218>

3176169915135822434476754326846227903787782100861047903381248784954237687816957452700075366659099723968938048970771825832181999572514205503092911475517946345102992026124592626509247004846782454449635547498417116911549<217>

461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215933<243>

149089040273616122177230260946658279081247713745477547<54>
518358584319422810234055161237075360099883154672031627726083064953319100226522455255006281<90>
5967992759914540646342242091355384185872412841061670991368136319700568493155027810673300895358683519<100>

Number: 24449_244
N = 461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215933 (243 digits)
SNFS difficulty: 248 digits.
Divisors found:
r1=149089040273616122177230260946658279081247713745477547 (pp54)
r2=518358584319422810234055161237075360099883154672031627726083064953319100226522455255006281 (pp90)
r3=5967992759914540646342242091355384185872412841061670991368136319700568493155027810673300895358683519 (pp100)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 1818.93 hours.
Factorization parameters were as follows:
n: 461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215932914046121593291404612159329140461215933
m: 100000000000000000000000000000000000000000
deg: 6
c6: 11
c0: 2050
skew: 2.39
# Murphy_E = 2.324e-13
type: snfs
lss: 1
rlim: 92000000
alim: 92000000
lpbr: 30
lpba: 30
mfbr: 61
mfba: 61
rlambda: 2.7
alambda: 2.7
Factor base limits: 92000000/92000000
Large primes per side: 3
Large prime bits: 30/30
Sieved rational special-q in [0, 0)
Total raw relations: 138957592
Relations: 13045584 relations
Pruned matrix : 10422702 x 10422927
Total sieving time: 1744.74 hours.
Total relation processing time: 1.00 hours.
Matrix solve time: 72.55 hours.
time per square root: 0.63 hours.
Prototype def-par.txt line would be: snfs,248,6,0,0,0,0,0,0,0,0,92000000,92000000,30,30,61,61,2.7,2.7,100000
total time: 1818.93 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2