8798314242991042916177260436900289904454306554864088040731395864552351769400982771700942099493737<97>

10618264544595981314549183771879838048526138753<47>
828601906275618561461709775254426181373901654948329<51>

Number: 24447_102
N=8798314242991042916177260436900289904454306554864088040731395864552351769400982771700942099493737
  ( 97 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=10618264544595981314549183771879838048526138753
 r2=828601906275618561461709775254426181373901654948329
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.943).
Factorization parameters were as follows:
#res: 4678
n: 8798314242991042916177260436900289904454306554864088040731395864552351769400982771700942099493737
Y1: 1
Y0: -100000000000000000000
c5: 2200
c0: 23
skew: 0.4
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 285001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 47340 x 47577
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,103,5,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

total time: 22 min

Msieve-1.36

Opteron-2.8GHz; Linux x86_64

32125699099020166177479884931586863509586600662957608679779792935266716315474365152378031862852470028183<104>

381591330607017206412657428815125306888619<42>
84188755147859735744695342070485785175230396419321883226185157<62>

Number: 24447_107
N=32125699099020166177479884931586863509586600662957608679779792935266716315474365152378031862852470028183
  ( 104 digits)
SNFS difficulty: 108 digits.
Divisors found:
 r1=381591330607017206412657428815125306888619
 r2=84188755147859735744695342070485785175230396419321883226185157
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.947).
Factorization parameters were as follows:
n: 32125699099020166177479884931586863509586600662957608679779792935266716315474365152378031862852470028183
Y1: 1
Y0: -1000000000000000000000
c5: 2200
c0: 23
skew: 0.4
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 : 61013 x 61240
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,108,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

total time: 41 min

Msieve-1.36

Opteron-2.8GHz; Linux x86_64

732890594125422165802971758094268585680723608201618735455244819937609023722102811025193014233434915301<102>

769844223455726196788224292250471499171<39>
951998562560586340256760402450547611450431456341933895606371031<63>

Number: 24447_108
N=732890594125422165802971758094268585680723608201618735455244819937609023722102811025193014233434915301
  ( 102 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=769844223455726196788224292250471499171
 r2=951998562560586340256760402450547611450431456341933895606371031
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.915).
Factorization parameters were as follows:
n: 732890594125422165802971758094268585680723608201618735455244819937609023722102811025193014233434915301
Y1: 1
Y0: -2000000000000000000000
c5: 1375
c0: 46
skew: 0.51
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 : 73387 x 73623
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,109,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

Total: 42 minutes

Msieve-1.36

Opteron-2.8GHz; Linux x86_64

905349794238683127572016460905349794238683127572016460905349794238683127572016460905349794238683127572016461<108>

113608441459662824962269148437092967080552227087<48>
7969036302290367567268621003851406845020368538649090611909603<61>

Number: 24447_109
N=905349794238683127572016460905349794238683127572016460905349794238683127572016460905349794238683127572016461
  ( 108 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=113608441459662824962269148437092967080552227087
 r2=7969036302290367567268621003851406845020368538649090611909603
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 905349794238683127572016460905349794238683127572016460905349794238683127572016460905349794238683127572016461
Y1: 1
Y0: -10000000000000000000000
c5: 11
c0: 115
skew: 1.6
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, 350001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 72091 x 72333
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,111,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

total time: 1.00 hours.

Msieve 1.36

Opteron-2.8GHz; Linux x86_64

20298137964703466931499613781729059356375064174379028443684191792924037555723406483723908247<92>

4616751856764010560641603977181<31>
4396627454638834962965514259782807864624263415930800244963587<61>

Wed Jul  9 18:46:02 2008  Msieve v. 1.36
Wed Jul  9 18:46:02 2008  random seeds: 3e553e05 eee29778
Wed Jul  9 18:46:02 2008  factoring 20298137964703466931499613781729059356375064174379028443684191792924037555723406483723908247 (92 digits)
Wed Jul  9 18:46:04 2008  no P-1/P+1/ECM available, skipping
Wed Jul  9 18:46:04 2008  commencing quadratic sieve (92-digit input)
Wed Jul  9 18:46:04 2008  using multiplier of 7
Wed Jul  9 18:46:04 2008  using 64kb Pentium 4 sieve core
Wed Jul  9 18:46:04 2008  sieve interval: 18 blocks of size 65536
Wed Jul  9 18:46:04 2008  processing polynomials in batches of 6
Wed Jul  9 18:46:04 2008  using a sieve bound of 1785001 (67059 primes)
Wed Jul  9 18:46:04 2008  using large prime bound of 187425105 (27 bits)
Wed Jul  9 18:46:04 2008  using double large prime bound of 778197657514830 (42-50 bits)
Wed Jul  9 18:46:04 2008  using trial factoring cutoff of 50 bits
Wed Jul  9 18:46:04 2008  polynomial 'A' values have 12 factors
Wed Jul  9 22:25:10 2008  67378 relations (16844 full + 50534 combined from 837582 partial), need 67155
Wed Jul  9 22:25:13 2008  begin with 854426 relations
Wed Jul  9 22:25:14 2008  reduce to 171242 relations in 11 passes
Wed Jul  9 22:25:14 2008  attempting to read 171242 relations
Wed Jul  9 22:25:19 2008  recovered 171242 relations
Wed Jul  9 22:25:19 2008  recovered 153667 polynomials
Wed Jul  9 22:25:20 2008  attempting to build 67378 cycles
Wed Jul  9 22:25:20 2008  found 67378 cycles in 5 passes
Wed Jul  9 22:25:20 2008  distribution of cycle lengths:
Wed Jul  9 22:25:20 2008     length 1 : 16844
Wed Jul  9 22:25:20 2008     length 2 : 12110
Wed Jul  9 22:25:20 2008     length 3 : 11636
Wed Jul  9 22:25:20 2008     length 4 : 9235
Wed Jul  9 22:25:20 2008     length 5 : 6751
Wed Jul  9 22:25:20 2008     length 6 : 4363
Wed Jul  9 22:25:20 2008     length 7 : 2761
Wed Jul  9 22:25:20 2008     length 9+: 3678
Wed Jul  9 22:25:20 2008  largest cycle: 19 relations
Wed Jul  9 22:25:20 2008  matrix is 67059 x 67378 (16.6 MB) with weight 4070504 (60.41/col)
Wed Jul  9 22:25:20 2008  sparse part has weight 4070504 (60.41/col)
Wed Jul  9 22:25:21 2008  filtering completed in 3 passes
Wed Jul  9 22:25:21 2008  matrix is 63591 x 63654 (15.7 MB) with weight 3858318 (60.61/col)
Wed Jul  9 22:25:21 2008  sparse part has weight 3858318 (60.61/col)
Wed Jul  9 22:25:22 2008  saving the first 48 matrix rows for later
Wed Jul  9 22:25:22 2008  matrix is 63543 x 63654 (9.1 MB) with weight 2921246 (45.89/col)
Wed Jul  9 22:25:22 2008  sparse part has weight 1996484 (31.36/col)
Wed Jul  9 22:25:22 2008  matrix includes 64 packed rows
Wed Jul  9 22:25:22 2008  using block size 21845 for processor cache size 512 kB
Wed Jul  9 22:25:23 2008  commencing Lanczos iteration
Wed Jul  9 22:25:23 2008  memory use: 9.4 MB
Wed Jul  9 22:26:02 2008  lanczos halted after 1007 iterations (dim = 63543)
Wed Jul  9 22:26:02 2008  recovered 18 nontrivial dependencies
Wed Jul  9 22:26:03 2008  prp31 factor: 4616751856764010560641603977181
Wed Jul  9 22:26:03 2008  prp61 factor: 4396627454638834962965514259782807864624263415930800244963587
Wed Jul  9 22:26:03 2008  elapsed time 03:40:01

Pentium 4 2.4GHz, Windows XP and Cygwin)

2809801797527874745136340628744054936820227528609256621780222174244995101695208495794891430931984719<100>

153350347540615171531355729586920964045930299<45>
18322761197418823300515221966963200845626965065189219581<56>

Number: 24447_117
N=2809801797527874745136340628744054936820227528609256621780222174244995101695208495794891430931984719
  ( 100 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=153350347540615171531355729586920964045930299 (pp45)
 r2=18322761197418823300515221966963200845626965065189219581 (pp56)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.93 hours.
Scaled time: 1.39 units (timescale=0.473).
Factorization parameters were as follows:
name: 24447_117
n: 2809801797527874745136340628744054936820227528609256621780222174244995101695208495794891430931984719
m: 100000000000000000000000
c5: 2200
c0: 23
skew: 0.4
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 600001)
Primes: RFBsize:49098, AFBsize:63764, largePrimes:2268593 encountered
Relations: rels:2519915, finalFF:366680
Max relations in full relation-set: 28
Initial matrix: 112929 x 366680 with sparse part having weight 33794001.
Pruned matrix : 73925 x 74553 with weight 6172791.
Total sieving time: 2.74 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,118,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.93 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

25906110961577137444577994220052608180999890138710163516987992524436446672531714607299587564660203114711137<107>

26763002716631911281029424155030335139<38>
967982226653429397489275031441447420090456022581392764391905774301483<69>

Number: 24447_123
N=25906110961577137444577994220052608180999890138710163516987992524436446672531714607299587564660203114711137
  ( 107 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=26763002716631911281029424155030335139
 r2=967982226653429397489275031441447420090456022581392764391905774301483
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.624).
Factorization parameters were as follows:
n: 25906110961577137444577994220052608180999890138710163516987992524436446672531714607299587564660203114711137
Y1: 1
Y0: -2000000000000000000000000
c5: 1375
c0: 46
skew: 0.51
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 600001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 109891 x 110122
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,124,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.20 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

total time: 1.20 hours.

Msieve-1.36

Opteron-2.8GHz; Linux x86_64

1839726382512564494953296037062124214980390189240945619360611458150405994163049931846499920557269846048351354289489308681<121>

31127363639203918155230106265371550433065849027<47>
59103186631439869309748970750979721507029739430928737715066147860616020803<74>

Number: 24447_124
N=1839726382512564494953296037062124214980390189240945619360611458150405994163049931846499920557269846048351354289489308681
  ( 121 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=31127363639203918155230106265371550433065849027
 r2=59103186631439869309748970750979721507029739430928737715066147860616020803
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.945).
Factorization parameters were as follows:
n: 1839726382512564494953296037062124214980390189240945619360611458150405994163049931846499920557269846048351354289489308681
Y1: 1
Y0: -10000000000000000000000000
c5: 11
c0: 115
skew: 1.6
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 : 111567 x 111791
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 49min.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

total time: 49min.

Msieve-1.36

Opteron-2.8GHz; Linux x86_64

16749351570606358764161948724391155809899067723886709775698749787610441965641844723427651<89>

5244805083985130173131426609173<31>
3193512685867020820044526963651820924786832284035313015287<58>

Wed Jul  9 16:54:55 2008  Msieve v. 1.36
Wed Jul  9 16:54:55 2008  random seeds: dd38a79e ee65a53f
Wed Jul  9 16:54:55 2008  factoring 16749351570606358764161948724391155809899067723886709775698749787610441965641844723427651 (89 digits)
Wed Jul  9 16:54:57 2008  no P-1/P+1/ECM available, skipping
Wed Jul  9 16:54:57 2008  commencing quadratic sieve (89-digit input)
Wed Jul  9 16:54:57 2008  using multiplier of 3
Wed Jul  9 16:54:57 2008  using 64kb Pentium 4 sieve core
Wed Jul  9 16:54:57 2008  sieve interval: 15 blocks of size 65536
Wed Jul  9 16:54:57 2008  processing polynomials in batches of 7
Wed Jul  9 16:54:57 2008  using a sieve bound of 1546823 (58602 primes)
Wed Jul  9 16:54:57 2008  using large prime bound of 123745840 (26 bits)
Wed Jul  9 16:54:57 2008  using double large prime bound of 368599753674560 (42-49 bits)
Wed Jul  9 16:54:57 2008  using trial factoring cutoff of 49 bits
Wed Jul  9 16:54:57 2008  polynomial 'A' values have 11 factors
Wed Jul  9 18:34:09 2008  58806 relations (15836 full + 42970 combined from 622685 partial), need 58698
Wed Jul  9 18:34:11 2008  begin with 638521 relations
Wed Jul  9 18:34:12 2008  reduce to 142912 relations in 11 passes
Wed Jul  9 18:34:12 2008  attempting to read 142912 relations
Wed Jul  9 18:34:16 2008  recovered 142912 relations
Wed Jul  9 18:34:16 2008  recovered 120166 polynomials
Wed Jul  9 18:34:16 2008  attempting to build 58806 cycles
Wed Jul  9 18:34:16 2008  found 58806 cycles in 5 passes
Wed Jul  9 18:34:16 2008  distribution of cycle lengths:
Wed Jul  9 18:34:16 2008     length 1 : 15836
Wed Jul  9 18:34:16 2008     length 2 : 11406
Wed Jul  9 18:34:16 2008     length 3 : 10376
Wed Jul  9 18:34:16 2008     length 4 : 7683
Wed Jul  9 18:34:16 2008     length 5 : 5523
Wed Jul  9 18:34:16 2008     length 6 : 3494
Wed Jul  9 18:34:16 2008     length 7 : 2010
Wed Jul  9 18:34:16 2008     length 9+: 2478
Wed Jul  9 18:34:16 2008  largest cycle: 17 relations
Wed Jul  9 18:34:16 2008  matrix is 58602 x 58806 (14.4 MB) with weight 3527793 (59.99/col)
Wed Jul  9 18:34:16 2008  sparse part has weight 3527793 (59.99/col)
Wed Jul  9 18:34:17 2008  filtering completed in 3 passes
Wed Jul  9 18:34:17 2008  matrix is 54483 x 54547 (13.4 MB) with weight 3301942 (60.53/col)
Wed Jul  9 18:34:17 2008  sparse part has weight 3301942 (60.53/col)
Wed Jul  9 18:34:18 2008  saving the first 48 matrix rows for later
Wed Jul  9 18:34:18 2008  matrix is 54435 x 54547 (9.6 MB) with weight 2709907 (49.68/col)
Wed Jul  9 18:34:18 2008  sparse part has weight 2194112 (40.22/col)
Wed Jul  9 18:34:18 2008  matrix includes 64 packed rows
Wed Jul  9 18:34:18 2008  using block size 21818 for processor cache size 512 kB
Wed Jul  9 18:34:18 2008  commencing Lanczos iteration
Wed Jul  9 18:34:18 2008  memory use: 8.8 MB
Wed Jul  9 18:34:52 2008  lanczos halted after 863 iterations (dim = 54432)
Wed Jul  9 18:34:52 2008  recovered 16 nontrivial dependencies
Wed Jul  9 18:34:53 2008  prp31 factor: 5244805083985130173131426609173
Wed Jul  9 18:34:53 2008  prp58 factor: 3193512685867020820044526963651820924786832284035313015287
Wed Jul  9 18:34:53 2008  elapsed time 01:39:58

Pentium 4 2.4GHz, Windows XP and Cygwin)

2716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049383<127>

1055851411540761761126901338111649728911<40>
2572378417103811115329524052621719508567986338053396769025584246379410302932317285466153<88>

N=2716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049383
  ( 127 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=1055851411540761761126901338111649728911
 r2=2572378417103811115329524052621719508567986338053396769025584246379410302932317285466153
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.821).
Factorization parameters were as follows:
n: 2716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049382716049383
Y1: 1
Y0: -10000000000000000000000000
c5: 2200
c0: 23
skew: 0.4
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 900001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 110989 x 111235
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,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 1.50 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

total time: 1.50 hours.

Msieve-1.36

Opteron-2.8GHz; Linux x86_64

30695838422148846501555786734418298265899042615875233041634129014791334814237998087446452640996474073579<104>

668426865130797987405649315345219<33>
1388343975982515290269796897309261<34>
33077183561244911430284006767620500381<38>

Number: 24447_128
N=30695838422148846501555786734418298265899042615875233041634129014791334814237998087446452640996474073579
  ( 104 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=668426865130797987405649315345219
 r2=1388343975982515290269796897309261
 r3=33077183561244911430284006767620500381
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 30695838422148846501555786734418298265899042615875233041634129014791334814237998087446452640996474073579
Y1: 1
Y0: -20000000000000000000000000
c5: 1375
c0: 46
skew: 0.51
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1000001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 118754 x 118983
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,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.00 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

total time: 2.00 hours.

Msieve 1.36

Opteron-2.8GHz; Linux x86_64

342565109975065397711196304094782072285709253150493734888554071161947109096209737200740112680805092330812797513257<114>

145463583266265491036564533866890587<36>
2354988803953860722933036576440462288212379685460602193096133727602333545086411<79>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 342565109975065397711196304094782072285709253150493734888554071161947109096209737200740112680805092330812797513257 (114 digits)
Using B1=1400000, B2=2139965110, polynomial Dickson(6), sigma=3304658584
Step 1 took 10797ms
Step 2 took 6109ms
********** Factor found in step 2: 145463583266265491036564533866890587
Found probable prime factor of 36 digits: 145463583266265491036564533866890587
Probable prime cofactor 2354988803953860722933036576440462288212379685460602193096133727602333545086411 has 79 digits

1741856091310300700715755929448806029623162241556917825463352044460114273431692604987339103664283<97>

1485468538436582264497629280992342831383<40>
1172597093940178493433708438105100250038657021267386646301<58>

Number: 24447_131
N=1741856091310300700715755929448806029623162241556917825463352044460114273431692604987339103664283
  ( 97 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=1485468538436582264497629280992342831383
 r2=1172597093940178493433708438105100250038657021267386646301
Version: Msieve 1.36
Factorization parameters were as follows:
n: 1741856091310300700715755929448806029623162241556917825463352044460114273431692604987339103664283
Y1: 1
Y0: -100000000000000000000000000
c5: 220
c0: 23
skew: 0.64
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1100001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 120923 x 121140
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,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.00 hours
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

total time: 2.00 hours

Msieve 1.36

Opteron-2.8GHz; Linux x86_64

36652232754956210070888323715313598937737298897994870862991340173992678559983082119579881712077<95>

1066310319098017272671211681952031856865065671<46>
34372951380569981263498111038130737929995501699787<50>

Number: 24447_132
N=36652232754956210070888323715313598937737298897994870862991340173992678559983082119579881712077
  ( 95 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=1066310319098017272671211681952031856865065671
 r2=34372951380569981263498111038130737929995501699787
Version: Msieve 1.36
Factorization parameters were as follows:
n: 36652232754956210070888323715313598937737298897994870862991340173992678559983082119579881712077
Y1: 1
Y0: -100000000000000000000000000
c5: 2200
c0: 23
skew: 0.4
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1250001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: 1458934 unique relations 
Pruned matrix : 130812 x 131059
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000

total time: 2.50 hours.

Msieve 1.36

Opteron-2.8GHz; Linux x86_64

36147944549324121969604965835519947229596904347641869546100384519388695605927646880868433968210753734213746884661<113>

160942727758616147304759991172660468836593226620551349083<57>
224601291731175620982413630782755053499706451971227086767<57>

# NICE SPLIT :-)  P57 . P57

Number: 24447_136
N=36147944549324121969604965835519947229596904347641869546100384519388695605927646880868433968210753734213746884661
  ( 113 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=160942727758616147304759991172660468836593226620551349083
 r2=224601291731175620982413630782755053499706451971227086767

Factorization parameters were as follows:
n: 36147944549324121969604965835519947229596904347641869546100384519388695605927646880868433968210753734213746884661
Y1: 1
Y0: -1000000000000000000000000000
c5: 220
c0: 23
skew: 0.64
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1925001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 156383 x 156621
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,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 4 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

total time: 4 hours.

Msieve 1.36

Opteron-2.8GHz; Linux x86_64

54812331144846873200817559961946909008650132404608284127492823677164804029605122171898283048704688433371111329<110>

5838733377978851433090143474291042027<37>
9387709216450097303503200248806037900230421287622289557752517186938865827<73>

Number: 24447_137
N=54812331144846873200817559961946909008650132404608284127492823677164804029605122171898283048704688433371111329
  ( 110 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=5838733377978851433090143474291042027
 r2=9387709216450097303503200248806037900230421287622289557752517186938865827
Version: 
Factorization parameters were as follows:
n: 54812331144846873200817559961946909008650132404608284127492823677164804029605122171898283048704688433371111329
Y1: 1
Y0: -1000000000000000000000000000
c5: 2200
c0: 23
skew: 0.4
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 1925001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157294 x 157519
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,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000

total time: 4.00 hours.

Msieve 1.36

Opteron-2.8GHz; Linux x86_64

873303230012874634363731481002180250775968434523662748614629575891775442150280471500346924134182166559206525583376303911125206257<129>

155810637693047503621475661225318370708471397541118401055253<60>
5604901198936834141789322417044567348370536055675412409260801606914669<70>

Number: 24447_138
N=873303230012874634363731481002180250775968434523662748614629575891775442150280471500346924134182166559206525583376303911125206257
  ( 129 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=155810637693047503621475661225318370708471397541118401055253
 r2=5604901198936834141789322417044567348370536055675412409260801606914669
Version: 
Factorization parameters were as follows:
n: 873303230012874634363731481002180250775968434523662748614629575891775442150280471500346924134182166559206525583376303911125206257
Y1: 1
Y0: -2000000000000000000000000000
c5: 1375
c0: 46
skew: 0.51
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [500000, 2600001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 174196 x 174436
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,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

total time: 5.80 hours

Msieve 1.36

Opteron-2.8GHz; Linux x86_64

1873568210657196630983708472786421740204218934961634432777224223533719969682259863910818153172717440365175476695366325166279178695826201<136>

384822306832803106175504740480258261<36>
29820580306445179468434784370467918075513<41>
163265032757307485732791583648752186409635917475529565664157<60>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1873568210657196630983708472786421740204218934961634432777224223533719969682259863910818153172717440365175476695366325166279178695826201 (136 digits)
Using B1=1158000, B2=1426247560, polynomial Dickson(6), sigma=2850817191
Step 1 took 12359ms
Step 2 took 156ms
********** Factor found in step 2: 384822306832803106175504740480258261
Found probable prime factor of 36 digits: 384822306832803106175504740480258261
Composite cofactor 4868658020573690727126546481856282776892240686260398313613025995290300464136292012462195107123487541 has 100 digits



Number: n
N=4868658020573690727126546481856282776892240686260398313613025995290300464136292012462195107123487541
  ( 100 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=29820580306445179468434784370467918075513 (pp41)
 r2=163265032757307485732791583648752186409635917475529565664157 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.87 hours.
Scaled time: 7.06 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_2_4_138_7
n: 4868658020573690727126546481856282776892240686260398313613025995290300464136292012462195107123487541
skew: 1.60
deg: 5
c5: 11
c0: 115
m: 10000000000000000000000000000
type: snfs
rlim: 1200000
alim: 1200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 760001)
Primes: RFBsize:92938, AFBsize:92505, largePrimes:6164160 encountered
Relations: rels:5408624, finalFF:225942
Max relations in full relation-set: 48
Initial matrix: 185508 x 225942 with sparse part having weight 26325682.
Pruned matrix : 171948 x 172939 with weight 15531984.
Total sieving time: 3.49 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.23 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1200000,1200000,28,28,48,48,2.5,2.5,100000
total time: 3.87 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4427478236511424556653540737563208231598857083891635006455103628275009139523403268427254684269587423295577407426383647562486527<127>

24899585554378077503177286185969857<35>
177813330540874967071390044687145423961622216372486528405096995740758978152899220369615973311<93>

Number: 24447_143
N=4427478236511424556653540737563208231598857083891635006455103628275009139523403268427254684269587423295577407426383647562486527
  ( 127 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=24899585554378077503177286185969857 (pp35)
 r2=177813330540874967071390044687145423961622216372486528405096995740758978152899220369615973311 (pp93)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.00 hours.
Scaled time: 16.98 units (timescale=0.999).
Factorization parameters were as follows:
name: 24447_143
n: 4427478236511424556653540737563208231598857083891635006455103628275009139523403268427254684269587423295577407426383647562486527
m: 20000000000000000000000000000
c5: 1375
c0: 46
skew: 0.51
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, 3150001)
Primes: RFBsize:100021, AFBsize:99749, largePrimes:3058574 encountered
Relations: rels:3168065, finalFF:285821
Max relations in full relation-set: 28
Initial matrix: 199836 x 285821 with sparse part having weight 36330475.
Pruned matrix : 180305 x 181368 with weight 22450673.
Total sieving time: 16.66 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.04 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: 17.00 hours.
 --------- CPU info (if available) ----------

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

44835067350405226132220665937906722622652243693041125936761642925899229679585266289557561143910490252449797666019505492023<122>

24491557737939074393638448434527023<35>
1830633552595663753669826211681350715915526535694694172275334022433701837826737468955001<88>

Number: 24447_144
N=44835067350405226132220665937906722622652243693041125936761642925899229679585266289557561143910490252449797666019505492023
  ( 122 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=24491557737939074393638448434527023 (pp35)
 r2=1830633552595663753669826211681350715915526535694694172275334022433701837826737468955001 (pp88)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 13.14 hours.
Scaled time: 13.21 units (timescale=1.005).
Factorization parameters were as follows:
name: 24447_144
n: 44835067350405226132220665937906722622652243693041125936761642925899229679585266289557561143910490252449797666019505492023
m: 100000000000000000000000000000
c5: 11
c0: 115
skew: 1.6
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, 2450001)
Primes: RFBsize:114155, AFBsize:113898, largePrimes:2942200 encountered
Relations: rels:3014645, finalFF:358154
Max relations in full relation-set: 28
Initial matrix: 228118 x 358154 with sparse part having weight 35742933.
Pruned matrix : 190894 x 192098 with weight 18442775.
Total sieving time: 12.84 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.04 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: 13.14 hours.
 --------- CPU info (if available) ----------

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

5919018907967689542617280706178958723228668739763380195197924256951909716923374279609506382494224904358851019371435845744377939696947<133>

26172017367152437248707175326456702997166050893<47>
226158298190510848206744669030862864131241436076272580498188671436573372939791504234879<87>

Number: 24447_145
N=5919018907967689542617280706178958723228668739763380195197924256951909716923374279609506382494224904358851019371435845744377939696947
  ( 133 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=26172017367152437248707175326456702997166050893 (pp47)
 r2=226158298190510848206744669030862864131241436076272580498188671436573372939791504234879 (pp87)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 15.40 hours.
Scaled time: 15.57 units (timescale=1.011).
Factorization parameters were as follows:
name: 24447_145
n: 5919018907967689542617280706178958723228668739763380195197924256951909716923374279609506382494224904358851019371435845744377939696947
m: 100000000000000000000000000000
c5: 22
c0: 23
skew: 1.01
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, 2850001)
Primes: RFBsize:114155, AFBsize:114118, largePrimes:3011437 encountered
Relations: rels:3111828, finalFF:366744
Max relations in full relation-set: 28
Initial matrix: 228339 x 366744 with sparse part having weight 39789463.
Pruned matrix : 191140 x 192345 with weight 21006123.
Total sieving time: 15.07 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.04 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: 15.40 hours.
 --------- CPU info (if available) ----------

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

7679572490547282653445779566837844449760348140477557883118528874893256621861959423600369133825523183623545437777492618208372747<127>

877528400546131797964133967369485080367167411<45>
8751366321326903185967256414898843569806199348466925509478330018011501491730031177<82>

Number: 24447_146
N=7679572490547282653445779566837844449760348140477557883118528874893256621861959423600369133825523183623545437777492618208372747
  ( 127 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=877528400546131797964133967369485080367167411 (pp45)
 r2=8751366321326903185967256414898843569806199348466925509478330018011501491730031177 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 22.11 hours.
Scaled time: 22.36 units (timescale=1.011).
Factorization parameters were as follows:
name: 24447_146
n: 7679572490547282653445779566837844449760348140477557883118528874893256621861959423600369133825523183623545437777492618208372747
m: 100000000000000000000000000000
c5: 220
c0: 23
skew: 0.64
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, 3650001)
Primes: RFBsize:114155, AFBsize:113843, largePrimes:3064283 encountered
Relations: rels:3144276, finalFF:305371
Max relations in full relation-set: 28
Initial matrix: 228065 x 305371 with sparse part having weight 37448122.
Pruned matrix : 207710 x 208914 with weight 24673037.
Total sieving time: 21.70 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 22.11 hours.
 --------- CPU info (if available) ----------

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

291629208451519068887102421369332315645823720830469690559715370792266303503783111885851927973996158741963183104053718746592753993<129>

1719658046526775063872329620833713151617719446440944978655437<61>
169585580715031070644678516951803468114192521983834826364569163297389<69>

Number: 24447_147
N=291629208451519068887102421369332315645823720830469690559715370792266303503783111885851927973996158741963183104053718746592753993
  ( 129 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=1719658046526775063872329620833713151617719446440944978655437 (pp61)
 r2=169585580715031070644678516951803468114192521983834826364569163297389 (pp69)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 26.74 hours.
Scaled time: 27.04 units (timescale=1.011).
Factorization parameters were as follows:
name: 24447_147
n: 291629208451519068887102421369332315645823720830469690559715370792266303503783111885851927973996158741963183104053718746592753993
m: 100000000000000000000000000000
c5: 2200
c0: 23
skew: 0.4
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, 4450001)
Primes: RFBsize:114155, AFBsize:113693, largePrimes:3180001 encountered
Relations: rels:3315913, finalFF:304892
Max relations in full relation-set: 28
Initial matrix: 227915 x 304892 with sparse part having weight 39345363.
Pruned matrix : 209004 x 210207 with weight 26695627.
Total sieving time: 26.30 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 26.74 hours.
 --------- CPU info (if available) ----------

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

512334051883013116583423649922513914567713078285125905872387242449953931012240050043094620958754046039730239596629<114>

70985983835086576997852624750687510213827313422930409<53>
7217397353726318978026298518599642790594988964775374257181581<61>

Number: 24447_151
N=512334051883013116583423649922513914567713078285125905872387242449953931012240050043094620958754046039730239596629
  ( 114 digits)
Divisors found:
 r1=70985983835086576997852624750687510213827313422930409 (pp53)
 r2=7217397353726318978026298518599642790594988964775374257181581 (pp61)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 59.21 hours.
Scaled time: 28.00 units (timescale=0.473).
Factorization parameters were as follows:
name: 24447_151
n: 512334051883013116583423649922513914567713078285125905872387242449953931012240050043094620958754046039730239596629
skew: 58934.48
# norm 1.67e+16
c5: 39240
c4: 2548362158
c3: -848790397397041
c2: -7561237389283676814
c1: 1098028132791631657707704
c0: -101853278834969772710102272
# alpha -6.65
Y1: 698620596401
Y0: -6655248136878522324179
# Murphy_E 5.69e-10
# M 411099533570434247334050740846394508864406295354105061320770663934783270735188517730048665882061695384371932235740
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2950001)
Primes: RFBsize:250150, AFBsize:249615, largePrimes:7495265 encountered
Relations: rels:7340500, finalFF:563249
Max relations in full relation-set: 28
Initial matrix: 499845 x 563249 with sparse part having weight 48058090.
Pruned matrix : 449089 x 451652 with weight 33803649.
Total sieving time: 50.37 hours.
Total relation processing time: 0.55 hours.
Matrix solve time: 7.94 hours.
Time per square root: 0.35 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 59.21 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

2409480494393359654417053972732335004481060547935443629191110013513357239972483882405770870013399653839<103>

10813062888571622922756770354132923<35>
222830526301659720606359045665497825172567913566370741154408463204093<69>

Number: 24447_152
N=2409480494393359654417053972732335004481060547935443629191110013513357239972483882405770870013399653839
  ( 103 digits)
Divisors found:
 r1=10813062888571622922756770354132923
 r2=222830526301659720606359045665497825172567913566370741154408463204093
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
name: 24447_152
n: 2409480494393359654417053972732335004481060547935443629191110013513357239972483882405770870013399653839
skew: 19561.08
# norm 8.91e+13
c5: 420
c4: -82996087
c3: -4257878742953
c2: 33361211199951301
c1: 145479990723098945878
c0: -843488700671868424525899
# alpha -4.74
Y1: 24707240459
Y0: -89482799835749821772
# Murphy_E 2.44e-09
# M 2165897549338724270610609111043907709624331788247989596227418375996497476424002657125822225638182266954
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 : 250649 x 250883
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: 4.20 hours.
 --------- CPU info (if available) ----------
Memory: 33030820k/34078720k available (1920k kernel code, 522988k reserved, 885k data, 196k init)
Calibrating delay using timer specific routine.. 5609.80 BogoMIPS (lpj=11219618)

total time: 4.20 hours.

Msieve-1.36

Opteron-2.8GHz; Linux x86_64

119361262002193195821448307853344484885855650684642416843797966406457642714370053703754405333884430590534099281529753791<120>

1798409594124660216759258210120687655281031358400703839301<58>
66370454423809885762078346386195882275783383739027815254557491<62>

Number: 24447_154
N=119361262002193195821448307853344484885855650684642416843797966406457642714370053703754405333884430590534099281529753791
  ( 120 digits)
Divisors found:
 r1=1798409594124660216759258210120687655281031358400703839301 (pp58)
 r2=66370454423809885762078346386195882275783383739027815254557491 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 70.89 hours.
Scaled time: 55.58 units (timescale=0.784).
Factorization parameters were as follows:
name: 24447_154
n: 119361262002193195821448307853344484885855650684642416843797966406457642714370053703754405333884430590534099281529753791
skew: 60960.40
# norm 1.84e+16
c5: 47940
c4: 5307530782
c3: -625612329042056
c2: -16268669865623770227
c1: 204342567025062309743036
c0: 8794015424991234094426300580
# alpha -5.74
Y1: 5404961881777
Y0: -75723797960330337216429
# Murphy_E 3.09e-10
# M 75322734279060307587904586726507012317372125376889169597155511412590324434436033530464569542901548305306847769101384234
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4350001)
Primes: RFBsize:315948, AFBsize:316629, largePrimes:7720056 encountered
Relations: rels:7821817, finalFF:759929
Max relations in full relation-set: 28
Initial matrix: 632662 x 759929 with sparse part having weight 66754450.
Pruned matrix : 529324 x 532551 with weight 43939785.
Total sieving time: 66.31 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 3.68 hours.
Time per square root: 0.39 hours.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 70.89 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

27943715773722063936691722152698523908458765196954280032157968841627837312957044871581762548438985303588808631000661<116>

140350244666350609226894618859195516341027638500563633<54>
199099872181567014671579008715002480094143366187033872354713317<63>

Number: n
N=27943715773722063936691722152698523908458765196954280032157968841627837312957044871581762548438985303588808631000661
  ( 116 digits)
Divisors found:

Tue Jul 15 16:08:22 2008  prp54 factor: 140350244666350609226894618859195516341027638500563633
Tue Jul 15 16:08:22 2008  prp63 factor: 199099872181567014671579008715002480094143366187033872354713317
Tue Jul 15 16:08:22 2008  elapsed time 01:31:56 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 42.90 hours.
Scaled time: 56.33 units (timescale=1.313).
Factorization parameters were as follows:
name: n
n: 27943715773722063936691722152698523908458765196954280032157968841627837312957044871581762548438985303588808631000661
skew: 47568.43
# norm 1.44e+16
c5: 44160
c4: 4908212444
c3: -559428385396405
c2: -8122621523859034918
c1: 191177662074665609611144
c0: -1057339503448102257405097600
# alpha -6.06
Y1: 3013035451613
Y0: -14462687652541172636637
# Murphy_E 4.75e-10
# M 13749798645903224652008884833430320114302017669267970026189959974505191987149920357678449950213629431261078728068770
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 1799990)
Primes: RFBsize:315948, AFBsize:315778, largePrimes:9341040 encountered
Relations: rels:8769691, finalFF:762080
Max relations in full relation-set: 28
Initial matrix: 631808 x 762080 with sparse part having weight 45124286.
Pruned matrix : 
Total sieving time: 42.50 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,50,50,2.5,2.5,60000
total time: 42.90 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

1675521212697582749247897000182488157310600163530340138134004056601075367727481697755915621810415204861568152537881895581732780171659703<136>

41970499708599475548745693906469796007<38>
39921402516784417137477507774986630829373202203626798195388657530740030186361497142025588004796529<98>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4012819776
Step 1 took 14729ms
Step 2 took 10257ms
********** Factor found in step 2: 41970499708599475548745693906469796007
Found probable prime factor of 38 digits: 41970499708599475548745693906469796007
Probable prime cofactor 39921402516784417137477507774986630829373202203626798195388657530740030186361497142025588004796529 has 98 digits

GMP-ECM 6.2.1

Opteron-2.8GHz; Linux x86_64

1046830495835959247230140155703104953738424616806575901417592329721050298226723440249719000044853648264703981844519892218988178316430428078439<142>

18275254618976078978614739674353667489<38>
57281308395505724725642726213432671439294032138257996320630107178666862119375122137370004294231648428551<104>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3597465798
Step 1 took 18482ms
Step 2 took 14050ms
********** Factor found in step 2: 18275254618976078978614739674353667489
Found probable prime factor of 38 digits: 18275254618976078978614739674353667489
Probable prime cofactor 57281308395505724725642726213432671439294032138257996320630107178666862119375122137370004294231648428551 has 104 digits

GMP-ECM 6.2.1

Opteron-2.8GHz; Linux x86_64

628570737965308867894616758650083694072525682923772825126976449775573725741245698307743195957424393590240832150518669803215300593947<132>

1502437621398893305826089711439184886680078009309919<52>
418367277957308925333921233455513317862150641697102827631297773846327424699635013<81>

Number: n
N=628570737965308867894616758650083694072525682923772825126976449775573725741245698307743195957424393590240832150518669803215300593947
  ( 132 digits)
SNFS difficulty: 162 digits.
Divisors found:

Tue Jul 15 18:20:17 2008  prp52 factor: 1502437621398893305826089711439184886680078009309919
Tue Jul 15 18:20:17 2008  prp81 factor: 418367277957308925333921233455513317862150641697102827631297773846327424699635013
Tue Jul 15 18:20:17 2008  elapsed time 01:38:49 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 47.99 hours.
Scaled time: 69.73 units (timescale=1.453).
Factorization parameters were as follows:
name: KA_2_4_160_7
n: 628570737965308867894616758650083694072525682923772825126976449775573725741245698307743195957424393590240832150518669803215300593947
skew: 0.64
deg: 5
c5: 220
c0: 23
m: 100000000000000000000000000000000
type: snfs
rlim: 4400000
alim: 4400000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2300001)
Primes: RFBsize:309335, AFBsize:309159, largePrimes:7452388 encountered
Relations: rels:6986017, finalFF:643203
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 47.75 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4400000,4400000,28,28,48,48,2.5,2.5,100000
total time: 47.99 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

969305364628204696618841104157701934175888050442734215063287899040826831867856381020984867573714343451139369729680252409177692077<129>

1030690545220291183793531315683239605395413174248632823<55>
940442666446536063195756357805894289825335687502835965056411741932351986299<75>

Number: 24447_162
N=969305364628204696618841104157701934175888050442734215063287899040826831867856381020984867573714343451139369729680252409177692077
  ( 129 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=1030690545220291183793531315683239605395413174248632823 (pp55)
 r2=940442666446536063195756357805894289825335687502835965056411741932351986299 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 95.03 hours.
Scaled time: 72.98 units (timescale=0.768).
Factorization parameters were as follows:
name: 24447_162
n: 969305364628204696618841104157701934175888050442734215063287899040826831867856381020984867573714343451139369729680252409177692077
m: 100000000000000000000000000000000
c5: 2200
c0: 23
skew: 0.4
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 5350001)
Primes: RFBsize:315948, AFBsize:315882, largePrimes:6095209 encountered
Relations: rels:6363736, finalFF:864607
Max relations in full relation-set: 28
Initial matrix: 631897 x 864607 with sparse part having weight 68497139.
Pruned matrix : 463354 x 466577 with weight 52859718.
Total sieving time: 90.96 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 3.65 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 95.03 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

66477483972753334552687859983056965286835579716750839563958970783526092476680414187738718186558254866973<104>

249102491687358608662848197534804232352965847<45>
266868000887712185768043059435968943896537652150789168406059<60>

Number: 24447_163
N=66477483972753334552687859983056965286835579716750839563958970783526092476680414187738718186558254866973
  ( 104 digits)
Divisors found:
 r1=249102491687358608662848197534804232352965847 (pp45)
 r2=266868000887712185768043059435968943896537652150789168406059 (pp60)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 13.82 hours.
Scaled time: 6.54 units (timescale=0.473).
Factorization parameters were as follows:
name: 24447_163
n: 66477483972753334552687859983056965286835579716750839563958970783526092476680414187738718186558254866973
skew: 17881.90
# norm 4.12e+14
c5: 26280
c4: -214869564
c3: -22555996750888
c2: -53134620097994881
c1: -558143968031074428782
c0: 7374303972577595376526720
# alpha -6.71
Y1: 12172641437
Y0: -75964372797368143719
# Murphy_E 2.22e-09
# M 29165913441586357822458021902992880104855066735453999372086240476381350149477004246431504334222637972910
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: RFBsize:169511, AFBsize:169933, largePrimes:4303283 encountered
Relations: rels:4293785, finalFF:413693
Max relations in full relation-set: 28
Initial matrix: 339528 x 413693 with sparse part having weight 29409280.
Pruned matrix : 277889 x 279650 with weight 15942175.
Polynomial selection time: 0.78 hours.
Total sieving time: 10.85 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 1.68 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 13.82 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

4972555774142816733941347938078342380746971255513150081082551212071592040884830137362050622121520430759722879061089137629076943<127>

1995019063063025398231422514593900200743<40>
2492485343226881663435258057593521762659123549921057652169671101365172576804392184453401<88>

Input number is 4972555774142816733941347938078342380746971255513150081082551212071592040884830137362050622121520430759722879061089137629076943 (127 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3167058222
Step 1 took 15218ms
Step 2 took 12289ms
********** Factor found in step 2: 1995019063063025398231422514593900200743
Found probable prime factor of 40 digits: 1995019063063025398231422514593900200743
Probable prime cofactor 2492485343226881663435258057593521762659123549921057652169671101365172576804392184453401 has 88 digits
Input number is 969305364628204696618841104157701934175888050442734215063287899040826831867856381020984867573714343451139369729680252409177692077 (129 digits)

GMP-ECM 6.2.1

Opteron/Linux

3651173165659700394738248112179232413165790300752546780366298823041488138110854926749200714664476571998585941559462454220444033<127>

519065104826878486825033434428939<33>
13564038936664591900573721755613575846723<41>
518586933045876452658110256298142053169804574677366689<54>

Input number is 3651173165659700394738248112179232413165790300752546780366298823041488138110854926749200714664476571998585941559462454220444033 (127 digits)
Run 52 out of 100:
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=226623195
Step 1 took 4036ms
Step 2 took 2924ms
********** Factor found in step 2: 519065104826878486825033434428939
Found probable prime factor of 33 digits: 519065104826878486825033434428939
Composite cofactor 7034133351879741953545824637111591729772173449090960338984032566235543003595723345747130010147 has 94 digits

Number: 24447_165
N=7034133351879741953545824637111591729772173449090960338984032566235543003595723345747130010147
  ( 94 digits)
Divisors found:
 r1=13564038936664591900573721755613575846723
 r2=518586933045876452658110256298142053169804574677366689
Version: Msieve 1.36
Factorization parameters were as follows:
name: 24447_165
n: 7034133351879741953545824637111591729772173449090960338984032566235543003595723345747130010147
skew: 3323.02
# norm 2.17e+13
c5: 12480
c4: 132852514
c3: 2026591728383
c2: -2797070364676835
c1: -152907382291947879
c0: 2428472541599586000585
# alpha -6.27
Y1: 21826676509
Y0: -891613348784733154
# Murphy_E 7.04e-09
# M 985921677842606424635089187194602414969543492765505871351915733770294116031045157405970754230
type: gnfs
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000
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, 900001)
Relations: 1827435 relations 
Pruned matrix : 113960 x 114182
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,93,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000

total time: 1.70 hours.

GMP-ECM 6.2.1+pol51+Msieve 1.36

Opteron-2.8GHz; Linux x86_64

286446773252765341551093224012617239445190662624970206552774789198764408815889566711346906826859709996062111646605279970629950766886641076851104552913831<153>

157077838092449523332749097610339671<36>
12314963809991883286233006440538730997310281149<47>
148079820454272076138749463653539263120184911826609262340495505792576389<72>

GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 286446773252765341551093224012617239445190662624970206552774789198764408815889566711346906826859709996062111646605279970629950766886641076851104552913831 (153 digits)
Using B1=624000, B2=522369552, polynomial Dickson(3), sigma=472445585
Step 1 took 9812ms
Step 2 took 4657ms
********** Factor found in step 2: 157077838092449523332749097610339671
Found probable prime factor of 36 digits: 157077838092449523332749097610339671
Composite cofactor 1823597629884456456024969058909706258632372020265790999907676961582423394895913928332215564831650488011286590649190961 has 118 digits



Number: n
N=1823597629884456456024969058909706258632372020265790999907676961582423394895913928332215564831650488011286590649190961
  ( 118 digits)
Divisors found:

Wed Jul 16 03:18:19 2008  prp47 factor: 12314963809991883286233006440538730997310281149
Wed Jul 16 03:18:19 2008  prp72 factor: 148079820454272076138749463653539263120184911826609262340495505792576389
Wed Jul 16 03:18:19 2008  elapsed time 04:29:31 (Msieve 1.36, Dep=6)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 51.39 hours.
Scaled time: 90.04 units (timescale=1.752).
Factorization parameters were as follows:
name: KA_2_4_167_7
n: 1823597629884456456024969058909706258632372020265790999907676961582423394895913928332215564831650488011286590649190961
skew: 48983.94
# norm 6.46e+15
c5: 50040
c4: 3600602710
c3: -376262433842969
c2: -8229887425109787560
c1: 404072477709485347899232
c0: 2578150019307161193042749712
# alpha -5.44
Y1: 2056468829983
Y0: -32532837847316073020785
# Murphy_E 3.87e-10
# M 74352331651996214033401096617626779374954279297543952462796538594023349857190087022767517996283017661881645908058429
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 2300000)
Primes: RFBsize:315948, AFBsize:315738, largePrimes:9457688 encountered
Relations: rels:8737174, finalFF:664621
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 51.02 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,28,28,50,50,2.5,2.5,60000
total time: 51.39 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

2924806833718076584089518256440082363256559331423221501598712159428445325155122115872915337109501936592333590583030924955209661<127>

27967758598179240323264057652458400413978392639<47>
104577806027991375625889373792165848207081915249081381035000999574807400010045699<81>

Number: 24447_172
N=2924806833718076584089518256440082363256559331423221501598712159428445325155122115872915337109501936592333590583030924955209661
  ( 127 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=27967758598179240323264057652458400413978392639 (pp47)
 r2=104577806027991375625889373792165848207081915249081381035000999574807400010045699 (pp81)
Version: Msieve-1.40
Total time: 104.60 hours.
Scaled time: 212.87 units (timescale=2.035).
Factorization parameters were as follows:
name: 24447_172
n: 2924806833718076584089518256440082363256559331423221501598712159428445325155122115872915337109501936592333590583030924955209661
m: 10000000000000000000000000000000000
deg: 5
c5: 2200
c0: 23
skew: 0.40
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1024911 x 1025159
Total sieving time: 101.47 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.79 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 104.60 hours.
 --------- CPU info (if available) ----------

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

1314931465174338992917898667795116942234463038770754250665385206184242219939023041783142698155689080868882804342381854902094386975962455120492549419009486035128991788253<169>

624738918926696617026480583427783554414155170496779<51>
2104769569075983439269108367771371408243333338166694269946412434388897100049518126394608775065678536993872431454145207<118>

N=1314931465174338992917898667795116942234463038770754250665385206184242219939023041783142698155689080868882804342381854902094386975962455120492549419009486035128991788253
  ( 169 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=624738918926696617026480583427783554414155170496779 (pp51)
 r2=2104769569075983439269108367771371408243333338166694269946412434388897100049518126394608775065678536993872431454145207 (pp118)
Version: Msieve-1.40
Total time: 94.38 hours.
Scaled time: 174.60 units (timescale=1.850).
Factorization parameters were as follows:
n: 1314931465174338992917898667795116942234463038770754250665385206184242219939023041783142698155689080868882804342381854902094386975962455120492549419009486035128991788253
m: 10000000000000000000000000000000000
deg: 5
c5: 22000
c0: 23
skew: 0.25
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 240000Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 8080001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 970616 x 970843
Total sieving time: 92.89 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.14 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 94.38 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

2581250733309867417575970902264460870585474598146192655168367945559075442919159920215886424967734365833626657280300363721694239117681567523172591810395400680511556963510501<172>

13793496764933613173998444708639348503342167<44>
110540140507371818048930699460533646011671649<45>
1692917532546119710378264581159890068911580941102272929764210993817970269701152940547<85>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 2581250733309867417575970902264460870585474598146192655168367945559075442919159920215886424967734365833626657280300363721694239117681567523172591810395400680511556963510501 (172 digits)
Using B1=4606000, B2=8562235510, polynomial Dickson(6), sigma=970024370
Step 1 took 65031ms
Step 2 took 21375ms
********** Factor found in step 2: 13793496764933613173998444708639348503342167
Found probable prime factor of 44 digits: 13793496764933613173998444708639348503342167
Composite cofactor 187135341915041275536807385055191549657231130756477371436302859011515528532617086139748716813756071039729965347118336379382452003 has 129 digits


Number: n
N=187135341915041275536807385055191549657231130756477371436302859011515528532617086139748716813756071039729965347118336379382452003
  ( 129 digits)
SNFS difficulty: 176 digits.
Divisors found:

Fri Aug 22 16:47:46 2008  prp45 factor: 110540140507371818048930699460533646011671649
Fri Aug 22 16:47:46 2008  prp85 factor: 1692917532546119710378264581159890068911580941102272929764210993817970269701152940547
Fri Aug 22 16:47:46 2008  elapsed time 02:52:14 (Msieve 1.36)

Version: GGNFS-0.77.1-20050930-k8
Total time: 48.99 hours.
Scaled time: 41.06 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_2_4_173_7
n: 187135341915041275536807385055191549657231130756477371436302859011515528532617086139748716813756071039729965347118336379382452003
type: snfs
skew: 1.60
deg: 5
c5: 11
c0: 115
m: 100000000000000000000000000000000000
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 5300001)
Primes: RFBsize:501962, AFBsize:502147, largePrimes:10305780 encountered
Relations: rels:10097030, finalFF:1048955
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 48.70 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,50,50,2.5,2.5,100000
total time: 48.99 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Calibrating delay loop... 6045.69 BogoMIPS (lpj=3022848)
Total of 2 processors activated (12009.47 BogoMIPS).

2979014439423696070680381230689894498227059660077707317426808607490416509659199184543278457103523964979443719023<112>

263918040926244833932442223532777<33>
11287649866483430593118539466784682520308464734220950406084876622638519492533399<80>

Number: 24447_176
N=2979014439423696070680381230689894498227059660077707317426808607490416509659199184543278457103523964979443719023
  ( 112 digits)
Divisors found:
 r1=263918040926244833932442223532777
 r2=11287649866483430593118539466784682520308464734220950406084876622638519492533399
Version: Msieve 1.36

Factorization parameters were as follows:
name: 24447_176
n: 2979014439423696070680381230689894498227059660077707317426808607490416509659199184543278457103523964979443719023
skew: 43254.19
# norm 3.04e+15
c5: 3840
c4: 2706565576
c3: 2492910207212
c2: -5833440226913678650
c1: -98011231431123673328307
c0: -232632515522583734331555306
# alpha -6.06
Y1: 643298896207
Y0: -3783884480249237801755
# Murphy_E 8.01e-10
# M 1300968512421426024764568100635526414813480594650460600267126043707504036536817791911229599377015845824674248517
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 3250001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 430899 x 431147
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,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000

total time: 15.00 hours.

Msieve 1.36

Opteron-2.2GHz; Linux x86_64

121370292641289507478748322636867104515028092563088266688916461072113730194720928768357200811377608482513243437553883876578003225644789828589816283<147>

407818136912747014681334981443<30>
75160945043175857866901963484673054341461063508311<50>
3959621107875479961537988501024588458702472685250586541345053347871<67>

# by ECM --
#
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=430382
Step 1 took 20824ms
Step 2 took 15058ms
********** Factor found in step 2: 407818136912747014681334981443
Found probable prime factor of 30 digits: 407818136912747014681334981443
Composite cofactor 297608864480828054398175478834481222993428795506090706648602298717700679595827000206738339572148229407385859182655881 has 117 digits
#
# then by GNFS/Msieve
#
Number: 24447_178
N=297608864480828054398175478834481222993428795506090706648602298717700679595827000206738339572148229407385859182655881
  ( 117 digits)
Divisors found:
 r1=75160945043175857866901963484673054341461063508311
 r2=3959621107875479961537988501024588458702472685250586541345053347871
Factorization parameters were as follows:
name: 24447_178
n: 297608864480828054398175478834481222993428795506090706648602298717700679595827000206738339572148229407385859182655881
skew: 56866.92
# norm 3.03e+16
c5: 11760
c4: 58587242
c3: -948018741867885
c2: 5359060334242097837
c1: 500754803694110056951611
c0: -3720239981301914611368153205
# alpha -6.05
Y1: 3414751932097
Y0: -30244587069795188032038
# Murphy_E 4.18e-10
# M 109539901323225467029707024396066592108219284886924732442320854580487753105415174514190809144234342576834319914949849
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 3850001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 570807 x 571055
Total sieving time: 15.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 01:14:42
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.5,2.5,100000

total time: 17.00 hours.

GMP-ECM 6.2.1+pol51+Msieve 1.36(GNFS)

Opteron-2.8GHz; Linux x86_64

48713076696249196039915189411560352062704904490444035498371034723168322153224512349729982828574960917200996384551277263345532532774498598345935118099699197<155>

247602662246059366508164925346498863298457<42>
196738905205468855813624539871972321101788083183648699443213584629087351285163889112862059428260985455190747938821<114>

N=48713076696249196039915189411560352062704904490444035498371034723168322153224512349729982828574960917200996384551277263345532532774498598345935118099699197
  ( 155 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=247602662246059366508164925346498863298457 (pp42)
 r2=196738905205468855813624539871972321101788083183648699443213584629087351285163889112862059428260985455190747938821 (pp114)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 93.50 hours.
Scaled time: 179.52 units (timescale=1.920).
Factorization parameters were as follows:
n: 48713076696249196039915189411560352062704904490444035498371034723168322153224512349729982828574960917200996384551277263345532532774498598345935118099699197
m: 1000000000000000000000000000000000000
deg: 5
c5: 11
c0: 115
skew: 1.60
# Murphy_E = 1.041e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 8450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1465117 x 1465346
Total sieving time: 91.14 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 93.50 hours.
 --------- CPU info (if available) ----------

4023919590520457029329364683424242560806648059402023453954209264249519771855892713393654157838643323297012066302561858940753401<127>

17785632801658181817419234383456954573<38>
828838352497750545369169782925386115193<39>
272966991471668803728822291820565994032634354475909<51>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1242344107
Step 1 took 36137ms
Step 2 took 4961ms
********** Factor found in step 2: 828838352497750545369169782925386115193
Found probable prime factor of 39 digits: 828838352497750545369169782925386115193
Composite cofactor has 88 digits

Mon Dec  8 10:17:24 2008
Mon Dec  8 10:17:24 2008  Msieve v. 1.39
Mon Dec  8 10:17:24 2008  random seeds: dc424cf8 f5bcfa1e
Mon Dec  8 10:17:24 2008  factoring 4854890677288461848350056488138030029095188175960364440787486140231466977493816635881857 (88 digits)
Mon Dec  8 10:17:24 2008  searching for 15-digit factors
Mon Dec  8 10:17:25 2008  commencing quadratic sieve (88-digit input)
Mon Dec  8 10:17:25 2008  using multiplier of 1
Mon Dec  8 10:17:25 2008  using 64kb Opteron sieve core
Mon Dec  8 10:17:25 2008  sieve interval: 14 blocks of size 65536
Mon Dec  8 10:17:25 2008  processing polynomials in batches of 8
Mon Dec  8 10:17:25 2008  using a sieve bound of 1524851 (58000 primes)
Mon Dec  8 10:17:25 2008  using large prime bound of 121988080 (26 bits)
Mon Dec  8 10:17:25 2008  using double large prime bound of 359228912138960 (42-49 bits)
Mon Dec  8 10:17:25 2008  using trial factoring cutoff of 49 bits
Mon Dec  8 10:17:25 2008  polynomial 'A' values have 11 factors
Mon Dec  8 11:03:38 2008  58445 relations (15726 full + 42719 combined from 617079 partial), need 58096
Mon Dec  8 11:03:38 2008  begin with 632805 relations
Mon Dec  8 11:03:38 2008  reduce to 141869 relations in 9 passes
Mon Dec  8 11:03:38 2008  attempting to read 141869 relations
Mon Dec  8 11:03:39 2008  recovered 141869 relations
Mon Dec  8 11:03:39 2008  recovered 117476 polynomials
Mon Dec  8 11:03:40 2008  attempting to build 58445 cycles
Mon Dec  8 11:03:40 2008  found 58445 cycles in 5 passes
Mon Dec  8 11:03:40 2008  distribution of cycle lengths:
Mon Dec  8 11:03:40 2008     length 1 : 15726
Mon Dec  8 11:03:40 2008     length 2 : 11364
Mon Dec  8 11:03:40 2008     length 3 : 10248
Mon Dec  8 11:03:40 2008     length 4 : 7718
Mon Dec  8 11:03:40 2008     length 5 : 5531
Mon Dec  8 11:03:40 2008     length 6 : 3430
Mon Dec  8 11:03:40 2008     length 7 : 2045
Mon Dec  8 11:03:40 2008     length 9+: 2383
Mon Dec  8 11:03:40 2008  largest cycle: 18 relations
Mon Dec  8 11:03:40 2008  matrix is 58000 x 58445 (14.6 MB) with weight 3355288 (57.41/col)
Mon Dec  8 11:03:40 2008  sparse part has weight 3355288 (57.41/col)
Mon Dec  8 11:03:41 2008  filtering completed in 3 passes
Mon Dec  8 11:03:41 2008  matrix is 53938 x 54001 (13.5 MB) with weight 3108334 (57.56/col)
Mon Dec  8 11:03:41 2008  sparse part has weight 3108334 (57.56/col)
Mon Dec  8 11:03:41 2008  saving the first 48 matrix rows for later
Mon Dec  8 11:03:41 2008  matrix is 53890 x 54001 (9.1 MB) with weight 2445936 (45.29/col)
Mon Dec  8 11:03:41 2008  sparse part has weight 1852810 (34.31/col)
Mon Dec  8 11:03:41 2008  matrix includes 64 packed rows
Mon Dec  8 11:03:41 2008  using block size 21600 for processor cache size 1024 kB
Mon Dec  8 11:03:41 2008  commencing Lanczos iteration
Mon Dec  8 11:03:41 2008  memory use: 8.1 MB
Mon Dec  8 11:03:57 2008  lanczos halted after 854 iterations (dim = 53890)
Mon Dec  8 11:03:57 2008  recovered 17 nontrivial dependencies
Mon Dec  8 11:03:58 2008  prp38 factor: 17785632801658181817419234383456954573
Mon Dec  8 11:03:58 2008  prp51 factor: 272966991471668803728822291820565994032634354475909
Mon Dec  8 11:03:58 2008  elapsed time 00:46:34

GMP-ECM 6.2.1+Msieve-1.39/QS

1218857362604482230832436307158669755830798131509179373689750645242564098349247631683264794914120734292502903475088562290967294249943331117970852612424059970186949347433<169>

44982980583091433538219963671317681<35>

27095967114785546061369574234256681325758554891730009334878063346192359766250427904748769055763410666798187604335850455402484330235193<134>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=970377937
Step 1 took 24448ms
Step 2 took 16926ms
********** Factor found in step 2: 44982980583091433538219963671317681
Found probable prime factor of 35 digits: 44982980583091433538219963671317681
Composite cofactor 27095967114785546061369574234256681325758554891730009334878063346192359766250427904748769055763410666798187604335850455402484330235193 has 134 digits

GMP-ECM 6.2

27095967114785546061369574234256681325758554891730009334878063346192359766250427904748769055763410666798187604335850455402484330235193<134>

77327863248332345626114301120437434763<38>
350403670508377822985021815952709043625410159334533841827120698248297040897287405805206946065611<96>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2425072536
Step 1 took 16162ms
Step 2 took 10015ms
********** Factor found in step 2: 77327863248332345626114301120437434763
Found probable prime factor of 38 digits: 77327863248332345626114301120437434763
Probable prime cofactor 350403670508377822985021815952709043625410159334533841827120698248297040897287405805206946065611 has 96 digits

GMP-ECM 6.3

752846201155204981101305409504528957770644176142445561475056010325809486586027355292795402493<93>

14478093885479986710222592427921863391<38>
51998985992916577835802224283132907761310866802294639523<56>

Wed Jul  9 04:10:59 2008  Msieve v. 1.36
Wed Jul  9 04:10:59 2008  random seeds: c8d737d3 84691ec3
Wed Jul  9 04:10:59 2008  factoring 752846201155204981101305409504528957770644176142445561475056010325809486586027355292795402493 (93 digits)
Wed Jul  9 04:11:00 2008  no P-1/P+1/ECM available, skipping
Wed Jul  9 04:11:00 2008  commencing quadratic sieve (93-digit input)
Wed Jul  9 04:11:00 2008  using multiplier of 13
Wed Jul  9 04:11:00 2008  using 64kb Opteron sieve core
Wed Jul  9 04:11:00 2008  sieve interval: 18 blocks of size 65536
Wed Jul  9 04:11:00 2008  processing polynomials in batches of 6
Wed Jul  9 04:11:00 2008  using a sieve bound of 1946657 (72941 primes)
Wed Jul  9 04:11:00 2008  using large prime bound of 243332125 (27 bits)
Wed Jul  9 04:11:00 2008  using double large prime bound of 1244970127754625 (42-51 bits)
Wed Jul  9 04:11:00 2008  using trial factoring cutoff of 51 bits
Wed Jul  9 04:11:00 2008  polynomial 'A' values have 12 factors
Wed Jul  9 04:11:00 2008  restarting with 1770 full and 95871 partial relations
Wed Jul  9 06:13:59 2008  73176 relations (18297 full + 54879 combined from 994629 partial), need 73037
Wed Jul  9 06:13:59 2008  begin with 1012926 relations
Wed Jul  9 06:14:00 2008  reduce to 187728 relations in 10 passes
Wed Jul  9 06:14:00 2008  attempting to read 187728 relations
Wed Jul  9 06:14:02 2008  recovered 187728 relations
Wed Jul  9 06:14:02 2008  recovered 170584 polynomials
Wed Jul  9 06:14:02 2008  attempting to build 73176 cycles
Wed Jul  9 06:14:02 2008  found 73176 cycles in 5 passes
Wed Jul  9 06:14:02 2008  distribution of cycle lengths:
Wed Jul  9 06:14:02 2008     length 1 : 18297
Wed Jul  9 06:14:02 2008     length 2 : 13020
Wed Jul  9 06:14:02 2008     length 3 : 12504
Wed Jul  9 06:14:02 2008     length 4 : 10068
Wed Jul  9 06:14:02 2008     length 5 : 7265
Wed Jul  9 06:14:02 2008     length 6 : 4859
Wed Jul  9 06:14:02 2008     length 7 : 2997
Wed Jul  9 06:14:02 2008     length 9+: 4166
Wed Jul  9 06:14:02 2008  largest cycle: 21 relations
Wed Jul  9 06:14:02 2008  matrix is 72941 x 73176 (20.1 MB) with weight 4680697 (63.96/col)
Wed Jul  9 06:14:03 2008  sparse part has weight 4680697 (63.96/col)
Wed Jul  9 06:14:03 2008  filtering completed in 3 passes
Wed Jul  9 06:14:03 2008  matrix is 69245 x 69309 (19.1 MB) with weight 4458851 (64.33/col)
Wed Jul  9 06:14:03 2008  sparse part has weight 4458851 (64.33/col)
Wed Jul  9 06:14:04 2008  saving the first 48 matrix rows for later
Wed Jul  9 06:14:04 2008  matrix is 69197 x 69309 (12.5 MB) with weight 3534404 (50.99/col)
Wed Jul  9 06:14:04 2008  sparse part has weight 2592435 (37.40/col)
Wed Jul  9 06:14:04 2008  matrix includes 64 packed rows
Wed Jul  9 06:14:04 2008  using block size 27723 for processor cache size 1024 kB
Wed Jul  9 06:14:04 2008  commencing Lanczos iteration
Wed Jul  9 06:14:04 2008  memory use: 11.0 MB
Wed Jul  9 06:14:34 2008  lanczos halted after 1095 iterations (dim = 69196)
Wed Jul  9 06:14:34 2008  recovered 17 nontrivial dependencies
Wed Jul  9 06:14:34 2008  prp38 factor: 14478093885479986710222592427921863391
Wed Jul  9 06:14:34 2008  prp56 factor: 51998985992916577835802224283132907761310866802294639523
Wed Jul  9 06:14:34 2008  elapsed time 02:03:35

total time: 2.5 hours

Msieve v. 1.36

Opteron-2.8GHz; Linux x86_64

614616250924193506153785337303827192064652869836203644146199708854062130030343149665056431337591060587764159026502918647829647810026910131518873907604841<153>

175924971977510966840247067595429695724452241532105435171464881847<66>
3493627107144071633071853352966316601457287725309994260064270894707733734943935153351903<88>

N=614616250924193506153785337303827192064652869836203644146199708854062130030343149665056431337591060587764159026502918647829647810026910131518873907604841
  ( 153 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=175924971977510966840247067595429695724452241532105435171464881847 (pp66)
 r2=3493627107144071633071853352966316601457287725309994260064270894707733734943935153351903 (pp88)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 154.96 hours.
Scaled time: 298.31 units (timescale=1.925).
Factorization parameters were as follows:
n: 614616250924193506153785337303827192064652869836203644146199708854062130030343149665056431337591060587764159026502918647829647810026910131518873907604841
m: 10000000000000000000000000000000000000
deg: 5
c5: 22
c0: 23
skew: 1.01
# Murphy_E = 6.537e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 12050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1693101 x 1693327
Total sieving time: 151.85 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.79 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 154.96 hours.
 --------- CPU info (if available) ----------

2169383120383520150512657724348385024656891011444234505714867315525232647326001931888903793461546372141555887568248185886625862646511643<136>

22324664477631905214930348612756314848637941436444386880985263893619<68>
97174276574553833926724915569250140017366581891220342088925742957497<68>

Number: n
N=2169383120383520150512657724348385024656891011444234505714867315525232647326001931888903793461546372141555887568248185886625862646511643
  ( 136 digits)
Divisors found:

Thu May 24 00:12:12 2012  prp68 factor: 22324664477631905214930348612756314848637941436444386880985263893619
Thu May 24 00:12:12 2012  prp68 factor: 97174276574553833926724915569250140017366581891220342088925742957497
Thu May 24 00:12:12 2012  elapsed time 04:16:32 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
name: KA_24447_186
n: 2169383120383520150512657724348385024656891011444234505714867315525232647326001931888903793461546372141555887568248185886625862646511643
skew: 301114.81
# norm 1.85e+18
c5: 95340
c4: 72211991945
c3: -26438984669386021
c2: -2531891548931752594945
c1: 1283942898447931299586202456
c0: -33580435071127787040136911924615
# alpha -4.94
Y1: 1203189856817687
Y0: -117872243664064404812267474
# Murphy_E 3.20e-11
# M 207708940427930600385292308207475626534626382341925170344260621698505108902275687659618527575898766882402660291156041734794017777994096
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 17860000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2597846 hash collisions in 25990480 relations (24365663 unique)
Msieve: matrix is 1745445 x 1745671 (503.7 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:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.55 BogoMIPS (lpj=2830779)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830450)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830462)
Total of 4 processors activated (22644.29 BogoMIPS).

166673803049011831499782846742797527130195351025641437183566599244891085844123248556589533354426147795571476546262877653023154865075426818714395952874497096448866796056018917<174>

18072992123460676488892269169324885372988318924969<50>
264188721525790105445261352357554635458898704888161<51>
34907842870827207098328506292909322120323730516791771559746930434232169213<74>

N=166673803049011831499782846742797527130195351025641437183566599244891085844123248556589533354426147795571476546262877653023154865075426818714395952874497096448866796056018917
  ( 174 digits)
SNFS difficulty: 188 digits.
Divisors found:
 r1=18072992123460676488892269169324885372988318924969 (pp50)
 r2=264188721525790105445261352357554635458898704888161 (pp51)
 r3=34907842870827207098328506292909322120323730516791771559746930434232169213 (pp74)
Version: Msieve v. 1.48
Total time:
Scaled time: 34.51 units (timescale=1.300).
Factorization parameters were as follows:
n: 166673803049011831499782846742797527130195351025641437183566599244891085844123248556589533354426147795571476546262877653023154865075426818714395952874497096448866796056018917
m: 10000000000000000000000000000000000000
deg: 5
c5: 2200
c0: 23
skew: 0.40
type: snfs
lss: 1
rlim: 9600000
alim: 9600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 500000
Factor base limits: 9600000/9600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4800000, 16300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2099825 x 2100051
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9600000,9600000,28,28,54,54,2.5,2.5,100000
total time:

18803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803418803419<188>

6189273399288534095811470799393323<34>
3038065632321280803476378108253243566314611187787592040202073700106715272161599074003370726703208829303229285374974719559646659679887499093314088198875153<154>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1373200339
Step 1 took 21729ms
Step 2 took 14625ms
********** Factor found in step 2: 6189273399288534095811470799393323
Found probable prime factor of 34 digits: 6189273399288534095811470799393323
Probable prime cofactor 3038065632321280803476378108253243566314611187787592040202073700106715272161599074003370726703208829303229285374974719559646659679887499093314088198875153 has 154 digits

GMP-ECM 6.2.1

415155087155130635569665237755239818292988007773226810698977764189610049474845456321847338415541323856805629014825619786381491269119892593330566177264436621303112620641<168>

443697233301290906934900123294996835211902232927<48>
935672021360613631909475342046063392011101513521616293398067032005250810042046920536306926362869245223737102780487685183<120>

415155087155130635569665237755239818292988007773226810698977764189610049474845456321847338415541323856805629014825619786381491269119892593330566177264436621303112620641=443697233301290906934900123294996835211902232927*935672021360613631909475342046063392011101513521616293398067032005250810042046920536306926362869245223737102780487685183

n: 415155087155130635569665237755239818292988007773226810698977764189610049474845456321847338415541323856805629014825619786381491269119892593330566177264436621303112620641
skew: 1.60
type: snfs
c0: 115
c5: 11
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 11*x^5+115
# g(x) = -x+100000000000000000000000000000000000000

Info:Square Root: Factors: 443697233301290906934900123294996835211902232927 935672021360613631909475342046063392011101513521616293398067032005250810042046920536306926362869245223737102780487685183
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: 4.61/1.93481
Info:Generate Free Relations: Total cpu/real time for freerel: 101.9/26.3542
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25174942
Info:Lattice Sieving: Average J: 1893.95 for 1966308 special-q, max bucket fill -bkmult 1.0,1s:1.081940
Info:Lattice Sieving: Total time: 420520s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.65/58.6446
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.20000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 410.53/259.24
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 222.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 331.83/198.216
Info:Filtering - Merging: Total cpu/real time for merge: 278.74/79.9681
Info:Filtering - Merging: Total cpu/real time for replay: 74.13/63.0866
Info:Linear Algebra: Total cpu/real time for bwc: 62975.5/16186.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 10313.87, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60672 iterations)
Info:Linear Algebra: Lingen CPU time 393.67, WCT time 114.14
Info:Linear Algebra: Mksol: WCT time 5650.35, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30464 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 69.06/28.1755
Info:Square Root: Total cpu/real time for sqrt: 485.86/153.734
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 867366/278630
Info:root: Cleaning up computation data in /tmp/cado.hikjfs4c
443697233301290906934900123294996835211902232927 935672021360613631909475342046063392011101513521616293398067032005250810042046920536306926362869245223737102780487685183

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

77175787416333286423361646344416235083039908788493182737895999100873737388121324131865606069223936085566180497693638777404038961013964704279008649017400819857858475645496331<173>

109647439924942065555485001670822001095967<42>
703853983906629398788846783850218685030521755317637767209409128174498576168845084399262752381777888153444601808985530818903634534293<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3085433674
Step 1 took 71559ms
********** Factor found in step 1: 109647439924942065555485001670822001095967
Found probable prime factor of 42 digits: 109647439924942065555485001670822001095967

96311397129462884033311885461659610007173073607967661208266279698847822873494923408648001915433238206460192569306208847261754835488643070876913141<146>

3911348087270340711987300409919305907096835197<46>
24623581174713823818990279328066558820004880452453040646765620554030358755308767168991242029741224153<101>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3824859
Step 1 took 80527ms
Step 2 took 29857ms
********** Factor found in step 2: 3911348087270340711987300409919305907096835197
Found probable prime factor of 46 digits: 3911348087270340711987300409919305907096835197

34532901375296696830449952880510069476914612322303724549062612192997458357353988088560452423453898802116465681057963024476294277970758009154821206878781682898903131057759<170>

1035825002371012168629351707372253105585641189372084226179<58>
33338547820578374014362537400245195049770910941315838906676107574327659792037550956700304916606727285511819052021<113>

Number: n
N=34532901375296696830449952880510069476914612322303724549062612192997458357353988088560452423453898802116465681057963024476294277970758009154821206878781682898903131057759  ( 170 digits)
SNFS difficulty: 194 digits.
Divisors found:

Tue Mar  9 21:51:40 2021  p58 factor: 1035825002371012168629351707372253105585641189372084226179
Tue Mar  9 21:51:40 2021  p113 factor: 33338547820578374014362537400245195049770910941315838906676107574327659792037550956700304916606727285511819052021
Tue Mar  9 21:51:40 2021  elapsed time 01:01:16 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 22x10^193+23 = 24(192)7
#
n: 34532901375296696830449952880510069476914612322303724549062612192997458357353988088560452423453898802116465681057963024476294277970758009154821206878781682898903131057759
m: 100000000000000000000000000000000000000
deg: 5
c5: 22000
c0: 23
skew: 0.25
# Murphy_E = 2.118e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4477289 hash collisions in 31538915 relations (28684219 unique)
Msieve: matrix is 1572238 x 1572464 (543.3 MB)

Sieving start time : 2021/03/09 14:23:17
Sieving end time  : 2021/03/09 20:49:50

Total sieving time: 6hrs 26min 33secs.

Total relation processing time: 0hrs 47min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12100000,12100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116745] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.152613] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.17 BogoMIPS (lpj=12798352)
[    0.150217] smpboot: Total of 16 processors activated (102386.81 BogoMIPS)

380414778691016021628478638637552465531776230816713821049415008209065039975905736895540649855447308477911047561198288664347469168161632833541639242410883771315354882359<168>

213144221823434271208809084238966307<36>
1784776408370790219693552793941553367252865242660235982974711386470861046642725912037082622886790599649727113544193747182804438147037<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3243762290
Step 1 took 25116ms
Step 2 took 13338ms
********** Factor found in step 2: 213144221823434271208809084238966307
Found probable prime factor of 36 digits: 213144221823434271208809084238966307
Probable prime cofactor 1784776408370790219693552793941553367252865242660235982974711386470861046642725912037082622886790599649727113544193747182804438147037 has 133 digits

GMP-ECM 6.3

18504964936539603036179136447081951736257154376533743806967375792094594004455642530714159162632795940016007120728661822663954336200980666272873579605829230246808847899377399333<176>

238179080734402645190041982383667767647821597770326880565659427<63>
77693493817682458351997017033768839097502772440181750902849450719803271410491666368803671117818850763810614969879<113>

18504964936539603036179136447081951736257154376533743806967375792094594004455642530714159162632795940016007120728661822663954336200980666272873579605829230246808847899377399333=238179080734402645190041982383667767647821597770326880565659427*77693493817682458351997017033768839097502772440181750902849450719803271410491666368803671117818850763810614969879

cado polynomial
n: 18504964936539603036179136447081951736257154376533743806967375792094594004455642530714159162632795940016007120728661822663954336200980666272873579605829230246808847899377399333
skew: 0.64
type: snfs
c0: 23
c5: 220
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 220*x^5+23
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13600000
tasks.lim1 = 13600000
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: 238179080734402645190041982383667767647821597770326880565659427 77693493817682458351997017033768839097502772440181750902849450719803271410491666368803671117818850763810614969879
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: 5.91/2.28965
Info:Generate Free Relations: Total cpu/real time for freerel: 99/25.3906
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31351668
Info:Lattice Sieving: Average J: 1893.49 for 4842712 special-q, max bucket fill -bkmult 1.0,1s:1.122190
Info:Lattice Sieving: Total time: 1.34307e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 61.04/163.344
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 162.29999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 534.68/541.718
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 473.5999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 455.52/544.254
Info:Filtering - Merging: Merged matrix has 2977256 rows and total weight 506443674 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 404.25/167.895
Info:Filtering - Merging: Total cpu/real time for replay: 115.21/100.511
Info:Linear Algebra: Total cpu/real time for bwc: 160117/68324.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 41532.83, iteration CPU time 0.38, COMM 0.01, cpu-wait 0.05, comm-wait 0.0 (93184 iterations)
Info:Linear Algebra: Lingen CPU time 3518.61, WCT time 1710.27
Info:Linear Algebra: Mksol: WCT time 24744.65, iteration CPU time 0.46, COMM 0.01, cpu-wait 0.06, comm-wait 0.0 (46592 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 103.83/63.5046
Info:Square Root: Total cpu/real time for sqrt: 811.68/380.822
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.66263e+06/154288
Info:root: Cleaning up computation data in /tmp/cado.6f2hztej
238179080734402645190041982383667767647821597770326880565659427 77693493817682458351997017033768839097502772440181750902849450719803271410491666368803671117818850763810614969879

cado-nfs-3.0.0

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

309032167439247085264784379828627616238235707262255934822306503722432925972748981598539120663014468324202837477173760359601067565669335580840005618766680713583368450625087793229386149740132041017<195>

695297672042072244900952876381872976120480443321416660609207<60>
15289769744936237230919203210804611301606749732361166218939120705391<68>
29069125530481941095166355250055849161785796071989116662232205007841<68>

Number: 24447_197
N=309032167439247085264784379828627616238235707262255934822306503722432925972748981598539120663014468324202837477173760359601067565669335580840005618766680713583368450625087793229386149740132041017
  ( 195 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=695297672042072244900952876381872976120480443321416660609207
 r2=15289769744936237230919203210804611301606749732361166218939120705391
 r3=29069125530481941095166355250055849161785796071989116662232205007841
Version: 
Total time: 843.82 hours.
Scaled time: 1700.29 units (timescale=2.015).
Factorization parameters were as follows:
n: 309032167439247085264784379828627616238235707262255934822306503722432925972748981598539120663014468324202837477173760359601067565669335580840005618766680713583368450625087793229386149740132041017
m: 2000000000000000000000000000000000000000
deg: 5
c5: 275
c0: 92
skew: 0.80
type: snfs
lss: 1
rlim: 14500000
alim: 14500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5Factor base limits: 14500000/14500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7250000, 16450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2462811 x 2463059
Total sieving time: 843.82 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,198,5,0,0,0,0,0,0,0,0,14500000,14500000,28,28,55,55,2.5,2.5,100000
total time: 843.82 hours.
 --------- CPU info (if available) ----------

161218519972830790758343186946204641556893408349174294893020021916989737610792382410702763318842248300901992208181565222108880638438436422581947957033249404731911737789<168>

256404326572189750444981085438142918071417809781<48>
628766768986015041431626108922872956076440559424905520771709693614605788501057413736059059929897369924046003060331260969<120>

161218519972830790758343186946204641556893408349174294893020021916989737610792382410702763318842248300901992208181565222108880638438436422581947957033249404731911737789=256404326572189750444981085438142918071417809781*628766768986015041431626108922872956076440559424905520771709693614605788501057413736059059929897369924046003060331260969

cado polynomial
n: 161218519972830790758343186946204641556893408349174294893020021916989737610792382410702763318842248300901992208181565222108880638438436422581947957033249404731911737789
skew: 0.25
type: snfs
c0: 23
c5: 22000
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 22000*x^5+23
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14700000
tasks.lim1 = 14700000
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: 256404326572189750444981085438142918071417809781 628766768986015041431626108922872956076440559424905520771709693614605788501057413736059059929897369924046003060331260969
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: 6.25/2.468
Info:Generate Free Relations: Total cpu/real time for freerel: 103.37/26.5531
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33639371
Info:Lattice Sieving: Average J: 1895.91 for 6758285 special-q, max bucket fill -bkmult 1.0,1s:1.107600
Info:Lattice Sieving: Total time: 2.04333e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 68.41/179.974
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 178.80000000000004s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 588.43/555.941
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 482.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 516.32/595.024
Info:Filtering - Merging: Merged matrix has 3325068 rows and total weight 569072432 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 463.4/134.526
Info:Filtering - Merging: Total cpu/real time for replay: 130.01/114.276
Info:Linear Algebra: Total cpu/real time for bwc: 203473/52021.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 33304.58, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (103936 iterations)
Info:Linear Algebra: Lingen CPU time 699.03, WCT time 201.63
Info:Linear Algebra: Mksol: WCT time 18112.46, iteration CPU time 0.33, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52224 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 114.29/48.1234
Info:Square Root: Total cpu/real time for sqrt: 2876.3/865.622
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.00921e+06/172368
Info:root: Cleaning up computation data in /tmp/cado.faowlgiy
256404326572189750444981085438142918071417809781 628766768986015041431626108922872956076440559424905520771709693614605788501057413736059059929897369924046003060331260969

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)

308029950066035562914855868841108587965764889235585809161075183544120474594905877675028798519710761177168397758425729159560300359234212031780264740798505003759<159>

43482312117488028224282836493909<32>
7084028770911422344248461958410720572198835237947535379552273443567806999719918274887993804124122573096734631865106103730841651<127>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=329097599
Step 1 took 19390ms
Step 2 took 12444ms
********** Factor found in step 2: 43482312117488028224282836493909
Found probable prime factor of 32 digits: 43482312117488028224282836493909
Probable prime cofactor 7084028770911422344248461958410720572198835237947535379552273443567806999719918274887993804124122573096734631865106103730841651 has 127 digits

GMP-ECM 6.2.1

12840968712497450919524752296800378540941132236667548291827633406545096197596703651594870363690753013859548008689664276384395211838449267164143857366931954123<158>

119428879963689122134078200225122300361645440953935040691<57>
107519795181882213670119024319624024204420192239554400070392090026807999879631383414346690936251772553<102>

12840968712497450919524752296800378540941132236667548291827633406545096197596703651594870363690753013859548008689664276384395211838449267164143857366931954123=119428879963689122134078200225122300361645440953935040691*107519795181882213670119024319624024204420192239554400070392090026807999879631383414346690936251772553

cado polynomial
n: 12840968712497450919524752296800378540941132236667548291827633406545096197596703651594870363690753013859548008689664276384395211838449267164143857366931954123
skew: 1.01
type: snfs
c0: 23
c5: 22
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 22*x^5+23
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15900000
tasks.lim1 = 15900000
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.sqrt.threads = 2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 107519795181882213670119024319624024204420192239554400070392090026807999879631383414346690936251772553 119428879963689122134078200225122300361645440953935040691
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: 7.03/2.67723
Info:Generate Free Relations: Total cpu/real time for freerel: 195.96/50.8216
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46868107
Info:Lattice Sieving: Average J: 1893.67 for 3866465 special-q, max bucket fill -bkmult 1.0,1s:1.097580
Info:Lattice Sieving: Total time: 1.25622e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 94.72/204.082
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 203.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 766.66/700.482
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 606.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 569.87/592.266
Info:Filtering - Merging: Merged matrix has 3378455 rows and total weight 576454983 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 484.25/213.497
Info:Filtering - Merging: Total cpu/real time for replay: 137.99/119.698
Info:Linear Algebra: Total cpu/real time for bwc: 215604/55486.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 34941.8, iteration CPU time 0.31, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (105984 iterations)
Info:Linear Algebra: Lingen CPU time 730.69, WCT time 211.52
Info:Linear Algebra: Mksol: WCT time 19894.48, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (53248 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 126.95/51.8006
Info:Square Root: Total cpu/real time for sqrt: 958.25/305.894
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.42118e+06/745975
Info:root: Cleaning up computation data in /tmp/cado.u6e4zt7v
107519795181882213670119024319624024204420192239554400070392090026807999879631383414346690936251772553 119428879963689122134078200225122300361645440953935040691

cado-nfs-3.0.0

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

132513151917055425591773506946109240009647421045497801854744926758570356606079861201437758641912230526716087461966765871635220219345575463262623969626003211472661169788870017657<177>

103750185077096820233220366177673906140440561003350387609479820999565406009347121615917<87>
1277232920775850459474041171566084271826740788670147521490366312165677433694987213303700221<91>

Number: n
N=132513151917055425591773506946109240009647421045497801854744926758570356606079861201437758641912230526716087461966765871635220219345575463262623969626003211472661169788870017657  ( 177 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Oct 13 20:02:11 2021  p87 factor: 103750185077096820233220366177673906140440561003350387609479820999565406009347121615917
Wed Oct 13 20:02:11 2021  p91 factor: 1277232920775850459474041171566084271826740788670147521490366312165677433694987213303700221
Wed Oct 13 20:02:11 2021  elapsed time 02:02:15 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 22x10^201+23 = 24(200)7
#
n: 132513151917055425591773506946109240009647421045497801854744926758570356606079861201437758641912230526716087461966765871635220219345575463262623969626003211472661169788870017657
m: 10000000000000000000000000000000000000000
deg: 5
c5: 220
c0: 23
skew: 0.64
# Murphy_E = 1.126e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16500000/16500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10375748 hash collisions in 66621798 relations (58712530 unique)
Msieve: matrix is 2251448 x 2251673 (771.8 MB)

Sieving start time : 2021/10/13 03:51:31
Sieving end time  : 2021/10/13 17:56:43

Total sieving time: 14hrs 5min 12secs.

Total relation processing time: 1hrs 37min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 0sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16500000,16500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

168460781145260058965872978374747987484505224810272234495589311796968555061101747921180637534410357310041163492114899214173847649793500212666699451<147>

95345982313511032633643862010306416908908169387027<50>
1766836704155370274031043307714663591027594664733198019805691641247720548291844132386450603280313<97>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 168460781145260058965872978374747987484505224810272234495589311796968555061101747921180637534410357310041163492114899214173847649793500212666699451 (147 digits)
Using B1=52170000, B2=288593765476, polynomial Dickson(12), sigma=1:74567940
Step 1 took 110291ms
Step 2 took 39625ms
********** Factor found in step 2: 95345982313511032633643862010306416908908169387027
Found prime factor of 50 digits: 95345982313511032633643862010306416908908169387027
Prime cofactor 1766836704155370274031043307714663591027594664733198019805691641247720548291844132386450603280313 has 97 digits

35442435858872488734840341157508658824002912007159202935037575973570600887387513734599538556543106503722224754490550710419481605576637893303813787638294572776643<161>

192419819014657626660048413404243<33>
184193270944572775718293604852340692637144385757769845962737152831321614464484501568395567703368265474703829715890241313565646801<129>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3657586577
Step 1 took 24323ms
Step 2 took 11845ms
********** Factor found in step 2: 192419819014657626660048413404243
Found probable prime factor of 33 digits: 192419819014657626660048413404243
Probable prime cofactor 184193270944572775718293604852340692637144385757769845962737152831321614464484501568395567703368265474703829715890241313565646801 has 129 digits

GMP-ECM 6.2.1

402575826529344392457266118541379945758397045532606903553262337256434762861794437829391658519080904748912542048587608459874809897290097421520129980755045601776750111486055596819577774813355782425332706047<204>

616884423557182357022598053879<30>

652595220686468604854846531476779078239326534361758413208472337192046186838089083437491645550897643197796659247339583213820862166685267354917434862948399256181647880449620793<174>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=980036650
Step 1 took 9922ms
Step 2 took 5944ms
********** Factor found in step 2: 616884423557182357022598053879
Found probable prime factor of 30 digits: 616884423557182357022598053879
Composite cofactor 652595220686468604854846531476779078239326534361758413208472337192046186838089083437491645550897643197796659247339583213820862166685267354917434862948399256181647880449620793 has 174 digits

GMP-ECM 6.3

16294586163560915672419621247627212466174133686789576106123522212002253928161576012154985709214044185729808288360149273285608510517470247338139858073767123846488443905451<170>

799467808870774411906769553909642096868310427732578302691384190309065184620511549431580303392862378014089145972170585311140000988455201478918350583220340494400307659484418052799152585758438990337329<198>

38143350508985068492843858929614211757<38>

20959559089662334144095322758124437564362175609870989263096375070591879423935602214048996318326745572857907521446817718417395394890901128131492411333104196331797<161>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2646637073
Step 1 took 9953ms
Step 2 took 5756ms
********** Factor found in step 2: 38143350508985068492843858929614211757
Found probable prime factor of 38 digits: 38143350508985068492843858929614211757
Composite cofactor 20959559089662334144095322758124437564362175609870989263096375070591879423935602214048996318326745572857907521446817718417395394890901128131492411333104196331797 has 161 digits

GMP-ECM 6.3

297352686201307835357558063734025769290732925860780792771396360591130693707990333324178963080924081152317670403994032983761212123077761551980466819001654097431547857014681641938511301298180501079585993<201>

1732994543848918161278165479297093770265383979714904254859976527121909552112091191683307<88>
171583163522776177416683369594557656197589962322108389450574974539296583669964553326144727639800995907493742799899<114>

Number: n
N=297352686201307835357558063734025769290732925860780792771396360591130693707990333324178963080924081152317670403994032983761212123077761551980466819001654097431547857014681641938511301298180501079585993  ( 201 digits)
SNFS difficulty: 216 digits.
Divisors found:

Thu Oct  8 02:07:24 2020  prp88 factor: 1732994543848918161278165479297093770265383979714904254859976527121909552112091191683307
Thu Oct  8 02:07:24 2020  prp114 factor: 171583163522776177416683369594557656197589962322108389450574974539296583669964553326144727639800995907493742799899
Thu Oct  8 02:07:24 2020  elapsed time 09:16:46 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
#
# N = 22x10^214+23 = 24(213)7
#
n: 297352686201307835357558063734025769290732925860780792771396360591130693707990333324178963080924081152317670403994032983761212123077761551980466819001654097431547857014681641938511301298180501079585993
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 11
c0: 115
skew: 1.60
# Murphy_E = 3.213e-12
type: snfs
lss: 1
rlim: 28000000
alim: 28000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 28000000/28000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 39600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9479106 hash collisions in 59450331 relations (51873627 unique)
Msieve: matrix is 3898785 x 3899010 (1110.1 MB)

Sieving start time: 2020/10/07 02:38:41
Sieving end time  : 2020/10/07 16:49:42

Total sieving time: 14hrs 11min 1sec.

Total relation processing time: 8hrs 50min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 5sec.

Prototype def-par.txt line would be:
snfs,216,5,0,0,0,0,0,0,0,0,28000000,28000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.113540] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16228504K/16703460K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 474956K reserved, 0K cma-reserved)
[    0.148670] x86/mm: Memory block size: 128MB
[    0.000008] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.64 BogoMIPS (lpj=11977280)
[    0.146244] smpboot: Total of 16 processors activated (95818.24 BogoMIPS)

118523498972754198988672380006370409219758636069059581000276644559397922614839754608207017593202126037485332601882636565801201366340594294220321475717460824589602991139103416038361368454870552393<195>

9946633665875228714616586032049580687275799438970241120064511095281621858796321707759183170386508270081268981408216848457803465718067962351364421690475357371779667069023747318848952800060235019257<196>

604511595764758820354300326682085911327<39>

16453999783563931887904185838407171173221428111662076366983359477482448082066125078909189715824637658329359106272944312039042524060536894521767879715129775591<158>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3307780888
Step 1 took 9999ms
Step 2 took 5835ms
********** Factor found in step 2: 604511595764758820354300326682085911327
Found probable prime factor of 39 digits: 604511595764758820354300326682085911327
Composite cofactor 16453999783563931887904185838407171173221428111662076366983359477482448082066125078909189715824637658329359106272944312039042524060536894521767879715129775591 has 158 digits

GMP-ECM 6.3

649490718496891967642968599209701636486079144333939460273818808164065448313073637905094163859455274959752912503321678092283887893658502976779213590874518650127375807851477787427522029209183763642071<198>

364277177633194323390055182451721375168619254220650776669289129627656725067065242557310983353979539649208709678097941477173023732213619519356397407613077778418620482905317941430350554925468285245945269<201>

3643725371074699993641064495305024572266936842787282151407<58>
99973829126906029655878374817238301925745528137756290099318590054540895521994540650387098603931044152236182605770819922541888383066300795943067<143>

Number: n
N=364277177633194323390055182451721375168619254220650776669289129627656725067065242557310983353979539649208709678097941477173023732213619519356397407613077778418620482905317941430350554925468285245945269
  ( 201 digits)
SNFS difficulty: 219 digits.
Divisors found:

Wed Sep 11 16:15:55 2019  p58 factor: 3643725371074699993641064495305024572266936842787282151407
Wed Sep 11 16:15:55 2019  p143 factor: 99973829126906029655878374817238301925745528137756290099318590054540895521994540650387098603931044152236182605770819922541888383066300795943067
Wed Sep 11 16:15:55 2019  elapsed time 06:06:16 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.118).
Factorization parameters were as follows:
#
# N = 22x10^218+23 = 24(217)7
#
n: 364277177633194323390055182451721375168619254220650776669289129627656725067065242557310983353979539649208709678097941477173023732213619519356397407613077778418620482905317941430350554925468285245945269
m: 1000000000000000000000000000000000000
deg: 6
c6: 2200
c0: 23
skew: 0.47
# Murphy_E = 2.832e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 70400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12921369 hash collisions in 70247476 relations (59693063 unique)
Msieve: matrix is 3749158 x 3749383 (1305.1 MB)

Sieving start time: 2019/09/10 03:01:48
Sieving end time  : 2019/09/11 10:06:32

Total sieving time: 31hrs 4min 44secs.

Total relation processing time: 5hrs 37min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 2sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.040000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284080K/16703460K available (12300K kernel code, 2478K rwdata, 4280K rodata, 2424K init, 2384K bss, 419380K reserved, 0K cma-reserved)
[    0.072549] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.52 BogoMIPS (lpj=11977052)
[    0.070220] smpboot: Total of 16 processors activated (95816.41 BogoMIPS)

571748954601560287843294376465736222300582559332220300005013348648679244529116372558611726549413132458635820804683650147011417128510272474605718119085083604347930567527731843005066402159923148442193507<201>

6605707936633737409148789941080396440521<40>

86553774415422159998630601907293291667383476625121486260427497084651763453567108936396159378917986094202312632845888726084376583293571937776189957803734264446667<161>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1620135259
Step 1 took 98221ms
Step 2 took 32923ms
********** Factor found in step 2: 6605707936633737409148789941080396440521
Found probable prime factor of 40 digits: 6605707936633737409148789941080396440521

86553774415422159998630601907293291667383476625121486260427497084651763453567108936396159378917986094202312632845888726084376583293571937776189957803734264446667<161>

29632047016092741439998722684533449351464683007<47>
49991777931980037791492626704972634629753722337197873<53>
58428639593952485909019251214796350384600842237528317402588997<62>

Number: 24447_219
N = 86553774415422159998630601907293291667383476625121486260427497084651763453567108936396159378917986094202312632845888726084376583293571937776189957803734264446667 (161 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=29632047016092741439998722684533449351464683007 (pp47)
r2=49991777931980037791492626704972634629753722337197873 (pp53)
r3=58428639593952485909019251214796350384600842237528317402588997 (pp62)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 85.02 hours.
Factorization parameters were as follows:
n: 86553774415422159998630601907293291667383476625121486260427497084651763453567108936396159378917986094202312632845888726084376583293571937776189957803734264446667
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 11
c0: 115
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: 8910214 relations
Pruned matrix : 7576346 x 7576571
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 40.59 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 43.28 hours.
time per square root: 0.74 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: 85.02 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

286707401014367784516435033957736557668075500744477760176015628370153639558618796158927989697305053109707544505243246857241243593432003845181772917948909184041243990983794488631240465477531091<192>

239006966901800624581929550526193222405641946757<48>
1199577588598768982672999718329564763461402759354226459156808309586798406563427422980821323409705402761781086788716971331158373858504920113862263<145>

Number: 24447_220
N = 286707401014367784516435033957736557668075500744477760176015628370153639558618796158927989697305053109707544505243246857241243593432003845181772917948909184041243990983794488631240465477531091 (192 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=239006966901800624581929550526193222405641946757 (pp48)
r2=1199577588598768982672999718329564763461402759354226459156808309586798406563427422980821323409705402761781086788716971331158373858504920113862263 (pp145)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 29.41 hours.
Factorization parameters were as follows:
n: 286707401014367784516435033957736557668075500744477760176015628370153639558618796158927989697305053109707544505243246857241243593432003845181772917948909184041243990983794488631240465477531091
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 22
c0: 23
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30162717
Relations: 7187366 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.80 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 6318447 x 6318672
Matrix solve time: 16.05 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 29.41 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

245921697804608613015086359310426692760845693853341322743554233932556951580487091466292101361366884851314484512110081287509080503593091671265377264530117713258814133757625436746357873414550764790395704977011286079<213>

1017720431311602191599305017295142101923<40>

241639737435233960880153372375154889834076765360072272291935711209375482046156018230073402778394601227643972316824929416799065770915646143147400257941542613459197575425505973<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3662742991
Step 1 took 43547ms
Step 2 took 14099ms
********** Factor found in step 2: 1017720431311602191599305017295142101923
Found probable prime factor of 40 digits: 1017720431311602191599305017295142101923

241639737435233960880153372375154889834076765360072272291935711209375482046156018230073402778394601227643972316824929416799065770915646143147400257941542613459197575425505973<174>

13509034101787756848729272868400234254507387135631531<53>
17887269779210630005538398930285147345510282836709343577607960946389300118183864304512265347944976942216293053764254781983<122>

Number: 24447_221
N = 241639737435233960880153372375154889834076765360072272291935711209375482046156018230073402778394601227643972316824929416799065770915646143147400257941542613459197575425505973 (174 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=13509034101787756848729272868400234254507387135631531 (pp53)
r2=17887269779210630005538398930285147345510282836709343577607960946389300118183864304512265347944976942216293053764254781983 (pp122)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 98.80 hours.
Factorization parameters were as follows:
n: 241639737435233960880153372375154889834076765360072272291935711209375482046156018230073402778394601227643972316824929416799065770915646143147400257941542613459197575425505973
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 220
c0: 23
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: 9309110 relations
Pruned matrix : 7930197 x 7930422
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 44.76 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 53.30 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 98.80 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

6660611565243717832273690584317287314562518922191946715107478050257341810475325461701483499848622464426279140175597941265516197396306388132001211020284589766878595216469875870420829548894943990311837723281864971238268241<220>

453990338193574900295623967553645799719488840450011031255197202186723076370719290429<84>
14671262810892089065658394279446530858592149709739512961134158381746072540854605321704038476348240638768243443768098342034569585708440229<137>

Number: n
N=6660611565243717832273690584317287314562518922191946715107478050257341810475325461701483499848622464426279140175597941265516197396306388132001211020284589766878595216469875870420829548894943990311837723281864971238268241
  ( 220 digits)
SNFS difficulty: 223 digits.
Divisors found:

Tue May 14 01:44:02 2019  p84 factor: 453990338193574900295623967553645799719488840450011031255197202186723076370719290429
Tue May 14 01:44:02 2019  p137 factor: 14671262810892089065658394279446530858592149709739512961134158381746072540854605321704038476348240638768243443768098342034569585708440229
Tue May 14 01:44:02 2019  elapsed time 09:42:13 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.118).
Factorization parameters were as follows:
#
# N = 22x10^222+23 = 24(221)7
#
n: 6660611565243717832273690584317287314562518922191946715107478050257341810475325461701483499848622464426279140175597941265516197396306388132001211020284589766878595216469875870420829548894943990311837723281864971238268241
m: 10000000000000000000000000000000000000
deg: 6
c6: 22
c0: 23
skew: 1.01
# Murphy_E = 1.96e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 94500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14625977 hash collisions in 72608508 relations (59871140 unique)
Msieve: matrix is 4553929 x 4554154 (1573.8 MB)

Sieving start time: 2019/05/11 18:37:56
Sieving end time  : 2019/05/13 15:59:48

Total sieving time: 45hrs 21min 52secs.

Total relation processing time: 8hrs 54min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 25min 8sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.044000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285084K/16703460K available (12300K kernel code, 2473K rwdata, 4276K rodata, 2408K init, 2416K bss, 418376K reserved, 0K cma-reserved)
[    0.076569] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.92 BogoMIPS (lpj=11977856)
[    0.074217] smpboot: Total of 16 processors activated (95822.84 BogoMIPS)

10595771323989789529451428020998892260270673794731011896161441024900062611376005394210855849347396811636083417617877955979386408515147136733612676395511245966382507344796031402013196551558060010595771323989789529451428021<221>

8266092679378845597916942446213836583887069<43>
1281835534027185298164222988174354746885516306886562046039498253934417467295027821332120160459500067761036811782912374712706483898499973920385517148249133962060702914268986887609<178>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3993469879
Step 1 took 111735ms
Step 2 took 37208ms
********** Factor found in step 2: 8266092679378845597916942446213836583887069
Found probable prime factor of 43 digits: 8266092679378845597916942446213836583887069

3162400815476969845579936559007078371140682113384444010861510591263672793498102632069219745543954366327040078001344613556685872573155709469010168975565635362312389117687029573<175>

81718711866339497807284678785426349<35>
38698613123631291568155145563162841917672333559030991081134770273718861924037314730232731999526744584956859764876690098733605808020909104377<140>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=418917746
Step 1 took 5429ms
Step 2 took 3603ms
********** Factor found in step 2: 81718711866339497807284678785426349
Found probable prime factor of 35 digits: 81718711866339497807284678785426349
Probable prime cofactor 38698613123631291568155145563162841917672333559030991081134770273718861924037314730232731999526744584956859764876690098733605808020909104377 has 140 digits

GMP-ECM 6.3

264306220243158973468677741762780534191223105405508219743436435335751112072310068437043640875107067207516974646387388933974120452513771904131376448494440657997<159>

19507021121005104154972076092633<32>
1506069285612858083861553033812913008292836648948723844477499<61>
8996456370242463071695349131012779231082519074692509084032403585391<67>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3845394295
Step 1 took 5257ms
Step 2 took 3869ms
********** Factor found in step 2: 19507021121005104154972076092633
Found probable prime factor of 32 digits: 19507021121005104154972076092633
Composite cofactor 13549286618578312647637976646235192387586185983518418143401573964099107221576071816469255347659054167311821554575920442624617109 has 128 digits

N = 13549286618578312647637976646235192387586185983518418143401573964099107221576071816469255347659054167311821554575920442624617109 (128 digits)
Divisors found:
r1=1506069285612858083861553033812913008292836648948723844477499 (pp61)
r2=8996456370242463071695349131012779231082519074692509084032403585391 (pp67)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 20.52 hours.
Factorization parameters were as follows:
n: 13549286618578312647637976646235192387586185983518418143401573964099107221576071816469255347659054167311821554575920442624617109
Y0: -5453876436272398951468408
Y1: 30847051743701
c0: -7630776639674862802127882986383
c1: 78862231554958474425703428
c2: 1453119845177715186301
c3: 647559579824554
c4: -8167816628
c5: 2808
skew: 410208.85 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18981610
Relations: 2138710 relations
Pruned matrix : 1196301 x 1196528
Polynomial selection time: 0.00 hours.
Total sieving time: 19.10 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.18 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 20.52 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

150929475714122944854796414875105200827694612616906205499688534371389549790365749836308475809981005506189430414428862857367975024536844739771814459970080391324770053913550224962746770191719538967<195>

81663041496466091412967227527<29>

1848198070367662070071270810223300790862776247440205773725884839906198064801655215381008835264121917400707669798369967581380349810568301873583991702391398841731796721<166>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2396722826
Step 1 took 9922ms
********** Factor found in step 1: 81663041496466091412967227527
Found probable prime factor of 29 digits: 81663041496466091412967227527
Composite cofactor 1848198070367662070071270810223300790862776247440205773725884839906198064801655215381008835264121917400707669798369967581380349810568301873583991702391398841731796721 has 166 digits

GMP-ECM 6.3

1848198070367662070071270810223300790862776247440205773725884839906198064801655215381008835264121917400707669798369967581380349810568301873583991702391398841731796721<166>

59109402829730138996953332686827<32>

31267412321717409665177008102773862143380768806694668212766555123590900848095012802724373088520579782650567238545381440505844355871123<134>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3895543164
Step 1 took 6474ms
Step 2 took 4773ms
********** Factor found in step 2: 59109402829730138996953332686827
Found probable prime factor of 32 digits: 59109402829730138996953332686827
Composite cofactor 31267412321717409665177008102773862143380768806694668212766555123590900848095012802724373088520579782650567238545381440505844355871123 has 134 digits

GMP-ECM 6.3

31267412321717409665177008102773862143380768806694668212766555123590900848095012802724373088520579782650567238545381440505844355871123<134>

20270941104035013663045491349458302822683661683623<50>
1542474627164374892770407941804744637236092479243228824080698651692046996688094312501<85>

Number: 24447_227
N = 31267412321717409665177008102773862143380768806694668212766555123590900848095012802724373088520579782650567238545381440505844355871123 (134 digits)
Divisors found:
r1=20270941104035013663045491349458302822683661683623 (pp50)
r2=1542474627164374892770407941804744637236092479243228824080698651692046996688094312501 (pp85)
Version: Msieve v. 1.51 (SVN 845)
Total time: 124.46 hours.
Factorization parameters were as follows:
# Murphy_E = 4.935e-11, selected by Erik Branger
n: 31267412321717409665177008102773862143380768806694668212766555123590900848095012802724373088520579782650567238545381440505844355871123
Y0: -104913613572709120099049115
Y1: 147945713881291
c0: -519674530287716206480802096486192
c1: 1463325393481593536621543786
c2: 6117544990985315579493
c3: -4678956555747731
c4: -9622411471
c5: 2460
skew: 855308.35
type: gnfs
# selected mechanically
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20035848
Relations: 3060522 relations
Pruned matrix : 1812389 x 1812620
Polynomial selection time: 0.00 hours.
Total sieving time: 121.70 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.38 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12200000,12200000,28,28,54,54,2.6,2.6,100000
total time: 124.46 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

355937485804433047204131973874806098373293979623527920579983229374354312181417204776319460683858931740053359252130166800902251947735473090690802914338826981026857942973168271824598365898888962857707149770346147139<213>

345614943737606606316651575775431<33>

1029867175172446797730811548930239921729724760143281838350415585256086607881279730793260744817162178879469446946058004706673579638539727482450031330710717755356356656454587458370469<181>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3259057020
Step 1 took 11872ms
Step 2 took 6490ms
********** Factor found in step 2: 345614943737606606316651575775431
Found probable prime factor of 33 digits: 345614943737606606316651575775431
Composite cofactor 1029867175172446797730811548930239921729724760143281838350415585256086607881279730793260744817162178879469446946058004706673579638539727482450031330710717755356356656454587458370469 has 181 digits

GMP-ECM 6.3

43125014552871667193211385497906740139017957813853908664713755121184677190867953721269070171008154691653365348657092052389168013417479140027826647277048526346909429975426610438643853929336158494209<197>

836641131712649095070174633691707279873343375583010934987105371095114657132527303463137491673181796403624084296861859626765867988563143665293591420007670407125057117488867<171>

6129210777981867432610880531412163478742137322345642863543861155216534044579058476657037965679050550023358804436906713760731232114478946937297671151469700005844885807976979628232207378300573793060335091183737199283<214>

860521108519408241170195099857166945146052870601180503606067114836449923396949751467311624472432149796912627948823914380047137826207520607954417335841884302190626695652219103246104521254123917837380146793041<207>

9509804501943180148210986087432511655540323<43>

90487781146665442090879415395336688418063126553809432939876715975328393332397945517454525705644334300117124532285673022021470750094787398856371858154878059564871867<164>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2287367625
Step 1 took 98043ms
Step 2 took 33502ms
********** Factor found in step 2: 9509804501943180148210986087432511655540323
Found probable prime factor of 43 digits: 9509804501943180148210986087432511655540323

8312691528105987740763655236957943516593720477863864581578573673231919046724620702553937776531062860984978575470430581589059686750426085067954584653571040468676825714804267931886666914603199219939918253525911<208>

49673178860786439391055544614983095779<38>

167347685788402126206457761040212252069931628888765109455367295698029746447639362989662231622909165557562944598423547727276447622487678820210275329212712648671055432434109<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1764853846
Step 1 took 35360ms
********** Factor found in step 1: 49673178860786439391055544614983095779
Found probable prime factor of 38 digits: 49673178860786439391055544614983095779

11254457561593707179254709724813444812890077351547658911797359968914281940392582681725015004937763682354261813172295078644650768167491456700627336011591442286055804913106367683433230637337185573868191753095531<209>

314992085815408069326309719713<30>

35729334381401106040497161210702705872074410763330535489708929690892826069149567511635868198856394858903168487190065905868716670191064618179225348544202458924138772737096287848587<179>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3293660699
Step 1 took 9937ms
Step 2 took 5881ms
********** Factor found in step 2: 314992085815408069326309719713
Found probable prime factor of 30 digits: 314992085815408069326309719713
Composite cofactor 35729334381401106040497161210702705872074410763330535489708929690892826069149567511635868198856394858903168487190065905868716670191064618179225348544202458924138772737096287848587 has 179 digits

GMP-ECM 6.3

765059299580968460464044429989990003978204720275350975150104590865341657962083627085741097989382030193953611690929340300029102250827974729246828441535295629979718707580150375795394305324345823918100999797<204>

8158284395642080426241064375358682034304578426749014132313332146279907579482388845551372547852468981921043122076875197292529049336023419146418295271951645781886772005860478805644425340301909787591645244156728115759991<217>

4974913011552990213072318830022801041<37>

1639884833502918944354627458161843720269116457938934188373066131142683216017609752029492943817802164805620404827008256301486007378203940686524884058930355558199520685967523055170951<181>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2680348356
Step 1 took 42068ms
Step 2 took 13872ms
********** Factor found in step 2: 4974913011552990213072318830022801041
Found probable prime factor of 37 digits: 4974913011552990213072318830022801041

203475499770490343232173679568010031531837043832678852336456113685996017326742337604955475148297877519347513568990107996410210061800285063001916771661255343791136410942177210687502615955767612265683278563233778519191785447792699759<231>

235987712395563346475798291982149<33>

862229213991549144374429533778155689228759168708919360581473491414615522195920327364287157902528454504036627472311600903206400164160920891204900904508936662571574337851895544365148947445196525145891<198>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1050178161
Step 1 took 11794ms
Step 2 took 6832ms
********** Factor found in step 2: 235987712395563346475798291982149
Found probable prime factor of 33 digits: 235987712395563346475798291982149
Composite cofactor 862229213991549144374429533778155689228759168708919360581473491414615522195920327364287157902528454504036627472311600903206400164160920891204900904508936662571574337851895544365148947445196525145891 has 198 digits

GMP-ECM 6.3

254578031701127355199542920603910187320382245531025766841575810952270862756109791556220808222006524967564510952973741129907890496319691701115711726111208133691924589168079420549322813600660128334681229701601786125117418721803632235739<234>

167279620607119581195468792101573549113<39>
1521871168628728165859121469301246672385303493704842129838518202492572335174270143014000165025358129115163892044721621026355948196586281193095633144527522037079594059952827117659934836046818746803<196>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=20409698
Step 1 took 128906ms
Step 2 took 40139ms
********** Factor found in step 2: 167279620607119581195468792101573549113
Found probable prime factor of 39 digits: 167279620607119581195468792101573549113

4586891700574273211544811937659196285962098793261558360886009922143121900331050777180933514649826335797572096091353002137610374661671650022181478531206639343928873855893427457685397612132150076232784845541978376971363436732442964696502233<238>

6909725039112969701515268152452278690693790729492022455475694838023953064373542499504462787251796002428831166930382604352630530751998253221510112241259456940211060063946992609703584416723255744344947544665326368456125271807382745970585991481<241>

348619421828356831599529440096093997056838454549792114489292437285209896062755937343878493006878759338760371602629663165985651156489792416625240704592118286741097817449440755843468632508202475544257430560860681<210>

1625984040838642594564966030337159653<37>

214405192838514887507281708034305246952166119706173285137020283369463107567011625850392986001966144928783299410069349460509050301066591392238848196174172570941628981724865877<174>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4022012745
Step 1 took 9890ms
Step 2 took 5959ms
********** Factor found in step 2: 1625984040838642594564966030337159653
Found probable prime factor of 37 digits: 1625984040838642594564966030337159653
Composite cofactor 214405192838514887507281708034305246952166119706173285137020283369463107567011625850392986001966144928783299410069349460509050301066591392238848196174172570941628981724865877 has 174 digits

GMP-ECM 6.3

848696433408412235525531742550147621334533088272786390434311396671070165701352866107236966210241123203922268758071259750316844008446407241289178524265798204867584743945004314550481742496358257253521299819413806764840579393836505469367<234>