1974214889414977037467608582187196548946406411233375487631192692026183614045274001659910779251<94>

550869718097003447204551975703287171<36>
3583814511051657908982940011891001026899175054919974150481<58>

SNFS difficulty: 105 digits.
Divisors found:
 r1=550869718097003447204551975703287171 (pp36)
 r2=3583814511051657908982940011891001026899175054919974150481 (pp58)
Version: Msieve v. 1.43
Total time: 0.32 hours.
Scaled time: 0.76 units (timescale=2.400).
Factorization parameters were as follows:
n: 1974214889414977037467608582187196548946406411233375487631192692026183614045274001659910779251
m: 100000000000000000000000000
deg: 4
c4: 58
c0: 41
skew: 0.92
type: snfs
lss: 1
rlim: 410000
alim: 410000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 410000/410000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [205000, 305001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 38641 x 38889
Total sieving time: 0.30 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,410000,410000,25,25,44,44,2.2,2.2,20000
total time: 0.32 hours.

980269346725178173569345476627308050099291195661372298815557195739472378690464284127582580732931079<99>

108154283898859034137377190207499452312048313<45>
9063620148804105342986892378964642781241934655305454783<55>

SNFS difficulty: 114 digits.
Divisors found:
 r1=108154283898859034137377190207499452312048313 (pp45)
 r2=9063620148804105342986892378964642781241934655305454783 (pp55)
Version: Msieve v. 1.43
Total time: 0.57 hours.
Scaled time: 1.36 units (timescale=2.400).
Factorization parameters were as follows:
n: 980269346725178173569345476627308050099291195661372298815557195739472378690464284127582580732931079
m: 20000000000000000000000
deg: 5
c5: 725
c0: 164
skew: 0.74
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 480001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 52644 x 52877
Total sieving time: 0.54 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 0.57 hours.

46034702900844545055529893009178313512466417637783840356525323468254990122504821899697<86>

2158588796290758972254217158621260613<37>
21326295670555186762106081990279592452723366079869<50>

at Aug 08 15:22:45 2009  Msieve v. 1.42
Sat Aug 08 15:22:45 2009  random seeds: ac5f2114 ee093235
Sat Aug 08 15:22:45 2009  factoring 46034702900844545055529893009178313512466417637783840356525323468254990122504821899697 (86 digits)
Sat Aug 08 15:22:47 2009  searching for 15-digit factors
Sat Aug 08 15:22:47 2009  commencing quadratic sieve (86-digit input)
Sat Aug 08 15:22:48 2009  using multiplier of 1
Sat Aug 08 15:22:48 2009  using 32kb Intel Core sieve core
Sat Aug 08 15:22:48 2009  sieve interval: 16 blocks of size 32768
Sat Aug 08 15:22:48 2009  processing polynomials in batches of 13
Sat Aug 08 15:22:48 2009  using a sieve bound of 1459427 (55667 primes)
Sat Aug 08 15:22:48 2009  using large prime bound of 116754160 (26 bits)
Sat Aug 08 15:22:48 2009  using double large prime bound of 331963366994880 (41-49 bits)
Sat Aug 08 15:22:48 2009  using trial factoring cutoff of 49 bits
Sat Aug 08 15:22:48 2009  polynomial 'A' values have 11 factors
Sat Aug 08 15:56:44 2009  56109 relations (16197 full + 39912 combined from 581509 partial), need 55763
Sat Aug 08 15:56:46 2009  begin with 597706 relations
Sat Aug 08 15:56:46 2009  reduce to 132368 relations in 10 passes
Sat Aug 08 15:56:46 2009  attempting to read 132368 relations
Sat Aug 08 15:56:48 2009  recovered 132368 relations
Sat Aug 08 15:56:48 2009  recovered 108695 polynomials
Sat Aug 08 15:56:48 2009  attempting to build 56109 cycles
Sat Aug 08 15:56:48 2009  found 56109 cycles in 6 passes
Sat Aug 08 15:56:48 2009  distribution of cycle lengths:
Sat Aug 08 15:56:48 2009     length 1 : 16197
Sat Aug 08 15:56:48 2009     length 2 : 11144
Sat Aug 08 15:56:48 2009     length 3 : 10111
Sat Aug 08 15:56:48 2009     length 4 : 7157
Sat Aug 08 15:56:48 2009     length 5 : 4913
Sat Aug 08 15:56:48 2009     length 6 : 2935
Sat Aug 08 15:56:48 2009     length 7 : 1722
Sat Aug 08 15:56:48 2009     length 9+: 1930
Sat Aug 08 15:56:48 2009  largest cycle: 18 relations
Sat Aug 08 15:56:48 2009  matrix is 55667 x 56109 (12.0 MB) with weight 2917724 (52.00/col)
Sat Aug 08 15:56:48 2009  sparse part has weight 2917724 (52.00/col)
Sat Aug 08 15:56:49 2009  filtering completed in 3 passes
Sat Aug 08 15:56:49 2009  matrix is 50596 x 50660 (10.9 MB) with weight 2647779 (52.27/col)
Sat Aug 08 15:56:49 2009  sparse part has weight 2647779 (52.27/col)
Sat Aug 08 15:56:49 2009  saving the first 48 matrix rows for later
Sat Aug 08 15:56:49 2009  matrix is 50548 x 50660 (6.1 MB) with weight 1968508 (38.86/col)
Sat Aug 08 15:56:49 2009  sparse part has weight 1285742 (25.38/col)
Sat Aug 08 15:56:49 2009  matrix includes 64 packed rows
Sat Aug 08 15:56:49 2009  using block size 20264 for processor cache size 1024 kB
Sat Aug 08 15:56:50 2009  commencing Lanczos iteration
Sat Aug 08 15:56:50 2009  memory use: 7.0 MB
Sat Aug 08 15:57:03 2009  lanczos halted after 801 iterations (dim = 50546)
Sat Aug 08 15:57:04 2009  recovered 16 nontrivial dependencies
Sat Aug 08 15:57:04 2009  prp37 factor: 2158588796290758972254217158621260613
Sat Aug 08 15:57:04 2009  prp50 factor: 21326295670555186762106081990279592452723366079869
Sat Aug 08 15:57:04 2009  elapsed time 00:34:19

17936320758742123847911845494663667844121370803322423565926859018744477965975419602303<86>

4171154534180201577214509051813439982857<40>
4300085410829145193862369954805882431917303879<46>

08/08/09 14:59:52 v1.10 @ 조영욱-PC, starting SIQS on c86: 17936320758742123847911845494663667844121370803322423565926859018744477965975419602303
08/08/09 14:59:52 v1.10 @ 조영욱-PC, random seeds: 3513321531, 909715568
08/08/09 14:59:52 v1.10 @ 조영욱-PC, ==== sieve params ====
08/08/09 14:59:52 v1.10 @ 조영욱-PC, n = 86 digits, 287 bits
08/08/09 14:59:52 v1.10 @ 조영욱-PC, factor base: 56921 primes (max prime = 1493971)
08/08/09 14:59:52 v1.10 @ 조영욱-PC, single large prime cutoff: 164336810 (110 * pmax)
08/08/09 14:59:52 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
08/08/09 14:59:52 v1.10 @ 조영욱-PC, double large prime cutoff: 614218275674814
08/08/09 14:59:52 v1.10 @ 조영욱-PC, using 15 large prime slices of factor base
08/08/09 14:59:52 v1.10 @ 조영욱-PC, buckets hold 1024 elements
08/08/09 14:59:52 v1.10 @ 조영욱-PC, sieve interval: 9 blocks of size 65536
08/08/09 14:59:52 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors
08/08/09 14:59:52 v1.10 @ 조영욱-PC, using multiplier of 13
08/08/09 14:59:52 v1.10 @ 조영욱-PC, using small prime variation correction of 24 bits
08/08/09 14:59:52 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
08/08/09 14:59:52 v1.10 @ 조영욱-PC, trial factoring cutoff at 91 bits
08/08/09 14:59:52 v1.10 @ 조영욱-PC, ==== sieving started ====
08/08/09 15:17:13 v1.10 @ 조영욱-PC, sieve time = 453.0300, relation time = 269.1360, poly_time = 318.0120
08/08/09 15:17:13 v1.10 @ 조영욱-PC, 57094 relations found: 20657 full + 36437 from 472011 partial, using 168286 polys (164 A polys)
08/08/09 15:17:13 v1.10 @ 조영욱-PC, on average, sieving found 2.93 rels/poly and 473.28 rels/sec
08/08/09 15:17:13 v1.10 @ 조영욱-PC, trial division touched 15023845 sieve locations out of 198518243328
08/08/09 15:17:13 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
08/08/09 15:17:13 v1.10 @ 조영욱-PC, begin with 492668 relations
08/08/09 15:17:13 v1.10 @ 조영욱-PC, reduce to 111147 relations in 8 passes
08/08/09 15:17:14 v1.10 @ 조영욱-PC, recovered 111147 relations
08/08/09 15:17:14 v1.10 @ 조영욱-PC, recovered 81457 polynomials
08/08/09 15:17:14 v1.10 @ 조영욱-PC, attempting to build 57094 cycles
08/08/09 15:17:14 v1.10 @ 조영욱-PC, found 57094 cycles in 4 passes
08/08/09 15:17:14 v1.10 @ 조영욱-PC, distribution of cycle lengths:
08/08/09 15:17:14 v1.10 @ 조영욱-PC,    length 1 : 20657
08/08/09 15:17:14 v1.10 @ 조영욱-PC,    length 2 : 16661
08/08/09 15:17:14 v1.10 @ 조영욱-PC,    length 3 : 10075
08/08/09 15:17:14 v1.10 @ 조영욱-PC,    length 4 : 5301
08/08/09 15:17:14 v1.10 @ 조영욱-PC,    length 5 : 2549
08/08/09 15:17:14 v1.10 @ 조영욱-PC,    length 6 : 1083
08/08/09 15:17:14 v1.10 @ 조영욱-PC,    length 7 : 461
08/08/09 15:17:14 v1.10 @ 조영욱-PC,    length 9+: 307
08/08/09 15:17:14 v1.10 @ 조영욱-PC, largest cycle: 14 relations
08/08/09 15:17:14 v1.10 @ 조영욱-PC, matrix is 56921 x 57094 (11.8 MB) with weight 2647073 (46.36/col)
08/08/09 15:17:14 v1.10 @ 조영욱-PC, sparse part has weight 2647073 (46.36/col)
08/08/09 15:17:14 v1.10 @ 조영욱-PC, filtering completed in 3 passes
08/08/09 15:17:14 v1.10 @ 조영욱-PC, matrix is 48448 x 48508 (10.3 MB) with weight 2307516 (47.57/col)
08/08/09 15:17:14 v1.10 @ 조영욱-PC, sparse part has weight 2307516 (47.57/col)
08/08/09 15:17:14 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
08/08/09 15:17:15 v1.10 @ 조영욱-PC, matrix is 48400 x 48508 (7.3 MB) with weight 1823058 (37.58/col)
08/08/09 15:17:15 v1.10 @ 조영욱-PC, sparse part has weight 1420269 (29.28/col)
08/08/09 15:17:15 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
08/08/09 15:17:15 v1.10 @ 조영욱-PC, using block size 19403 for processor cache size 4096 kB
08/08/09 15:17:15 v1.10 @ 조영욱-PC, commencing Lanczos iteration
08/08/09 15:17:15 v1.10 @ 조영욱-PC, memory use: 6.5 MB
08/08/09 15:17:24 v1.10 @ 조영욱-PC, lanczos halted after 766 iterations (dim = 48398)
08/08/09 15:17:24 v1.10 @ 조영욱-PC, recovered 17 nontrivial dependencies
08/08/09 15:17:25 v1.10 @ 조영욱-PC, prp40 = 4171154534180201577214509051813439982857
08/08/09 15:17:26 v1.10 @ 조영욱-PC, prp46 = 4300085410829145193862369954805882431917303879
08/08/09 15:17:26 v1.10 @ 조영욱-PC, Lanczos elapsed time = 10.8730 seconds.
08/08/09 15:17:26 v1.10 @ 조영욱-PC, Sqrt elapsed time = 2.5110 seconds.
08/08/09 15:17:26 v1.10 @ 조영욱-PC, SIQS elapsed time = 1054.3570 seconds.
08/08/09 15:17:26 v1.10 @ 조영욱-PC, 
08/08/09 15:17:26 v1.10 @ 조영욱-PC, 

YAFU 1.10

Core 2 Quad Q6600

1042707573430406393491906031296711719332378538641660681551632980630039511373360505714837935871461<97>

267492333084733470268984029104710701455232281551<48>
3898083961532116929988497717471694102623444454411<49>

Number: 64449_124
N=1042707573430406393491906031296711719332378538641660681551632980630039511373360505714837935871461
  ( 97 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=267492333084733470268984029104710701455232281551
 r2=3898083961532116929988497717471694102623444454411
Version: 
Total time: 0.79 hours.
Scaled time: 1.89 units (timescale=2.388).
Factorization parameters were as follows:
n: 1042707573430406393491906031296711719332378538641660681551632980630039511373360505714837935871461
m: 10000000000000000000000000
deg: 5
c5: 29
c0: 205
skew: 1.48
type: snfs
lss: 1
rlim: 800000
alim: 800000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [400000, 600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 2446613
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 95442 x 95690
Total sieving time: 0.70 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,800000,800000,26,26,46,46,2.3,2.3,40000
total time: 0.79 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

58585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585859<128>

39898048673574179603199844885073<32>
649715236944848403995371739583303968875535713<45>
2260050228906597591554901754728515026209895212840691<52>

Number: 64449_128
N=58585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585859
  ( 128 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=39898048673574179603199844885073 (pp32)
 r2=649715236944848403995371739583303968875535713 (pp45)
 r3=2260050228906597591554901754728515026209895212840691 (pp52)
Version: Msieve-1.40
Total time: 2.46 hours.
Scaled time: 8.09 units (timescale=3.287).
Factorization parameters were as follows:
name: 64449_128
n: 58585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585858585859
m: 50000000000000000000000000
deg: 5
c5: 464
c0: 1025
skew: 1.17
type: snfs
lss: 1
rlim: 1070000
alim: 1070000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1070000/1070000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [535000, 985001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 147934 x 148182
Total sieving time: 2.37 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1070000,1070000,26,26,47,47,2.3,2.3,50000
total time: 2.46 hours.
 --------- CPU info (if available) ----------

83401523959050804924972610883019020772103327350516411471050111549524066031956548155738313342090261880249108256179101413<119>

1128787256771068110891967257486158744224357811724497<52>
73885954557658207227978625191186478807384791934220624008771044803029<68>

Number: 64449_135
N=83401523959050804924972610883019020772103327350516411471050111549524066031956548155738313342090261880249108256179101413
  ( 119 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=1128787256771068110891967257486158744224357811724497
 r2=73885954557658207227978625191186478807384791934220624008771044803029
Version: 
Total time: 2.26 hours.
Scaled time: 5.40 units (timescale=2.388).
Factorization parameters were as follows:
n: 83401523959050804924972610883019020772103327350516411471050111549524066031956548155738313342090261880249108256179101413
m: 1000000000000000000000000000
deg: 5
c5: 58
c0: 41
skew: 0.93
type: snfs
lss: 1
rlim: 1400000
alim: 1400000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [700000, 1250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3548779
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 194905 x 195153
Total sieving time: 1.95 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1400000,1400000,26,26,48,48,2.3,2.3,50000
total time: 2.26 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

340846099268334589063925286498769963997410140964630221918445886354506313410431118519162224524675570357048474447500963<117>

14884551379367473034365581346771321<35>
22899319608705534678406447304938033748166187889155106711843604195847753505863147003<83>

Number: 64449_137
N=340846099268334589063925286498769963997410140964630221918445886354506313410431118519162224524675570357048474447500963
  ( 117 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=14884551379367473034365581346771321
 r2=22899319608705534678406447304938033748166187889155106711843604195847753505863147003
Version: 
Total time: 3.14 hours.
Scaled time: 7.51 units (timescale=2.389).
Factorization parameters were as follows:
n: 340846099268334589063925286498769963997410140964630221918445886354506313410431118519162224524675570357048474447500963
m: 2000000000000000000000000000
deg: 5
c5: 725
c0: 164
skew: 0.74
type: snfs
lss: 1
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [900000, 1600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3960377
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 243100 x 243348
Total sieving time: 2.71 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,50000
total time: 3.14 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

9049706047700098778472617130075705484325248766095900478012943598748454740374814077391893881246699892749334477158507931655663<124>

619682416402246260242658300172564813<36>
14603780594971380709213275235955179207952396770027290460063940971518463105065496294225451<89>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 9049706047700098778472617130075705484325248766095900478012943598748454740374814077391893881246699892749334477158507931655663 (124 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3967165505
Step 1 took 4212ms
Step 2 took 4149ms
********** Factor found in step 2: 619682416402246260242658300172564813
Found probable prime factor of 36 digits: 619682416402246260242658300172564813
Probable prime cofactor 14603780594971380709213275235955179207952396770027290460063940971518463105065496294225451 has 89 digits

Core 2 Quad Q6600

4017237943453302397946339277421751791024513472930215399935475761833309366097049405279496394556016946350294521398528083<118>

240281321672102092031822941423701958764184969789<48>
16718893984341374478344248259057953266891108617477674510284921115332047<71>

Number: 64449_139
N=4017237943453302397946339277421751791024513472930215399935475761833309366097049405279496394556016946350294521398528083
  ( 118 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=240281321672102092031822941423701958764184969789
 r2=16718893984341374478344248259057953266891108617477674510284921115332047
Version: 
Total time: 2.70 hours.
Scaled time: 6.45 units (timescale=2.387).
Factorization parameters were as follows:
n: 4017237943453302397946339277421751791024513472930215399935475761833309366097049405279496394556016946350294521398528083
m: 10000000000000000000000000000
deg: 5
c5: 29
c0: 205
skew: 1.48
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [950000, 1550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4087260
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 225814 x 226062
Total sieving time: 2.35 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,48,48,2.3,2.3,50000
total time: 2.70 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

16734983620079684836530558211268541781736781482763673605856165874596688227525266870848902799120670143654113023649333141<119>

28571814345470798457850196642434401668480249<44>
585716518304778674109618639218066670643040948267599228491642409925313514109<75>

Number: 64449_140
N=16734983620079684836530558211268541781736781482763673605856165874596688227525266870848902799120670143654113023649333141
  ( 119 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=28571814345470798457850196642434401668480249
 r2=585716518304778674109618639218066670643040948267599228491642409925313514109
Version: 
Total time: 3.15 hours.
Scaled time: 7.52 units (timescale=2.385).
Factorization parameters were as follows:
n: 16734983620079684836530558211268541781736781482763673605856165874596688227525266870848902799120670143654113023649333141
m: 10000000000000000000000000000
deg: 5
c5: 58
c0: 41
skew: 0.93
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [950000, 1650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3952668
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274683 x 274930
Total sieving time: 2.65 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,48,48,2.3,2.3,50000
total time: 3.15 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

490013052621464118683651322907303005438915081644290634464703535904536125332452737523019513099576390081<102>

297188596750020055603166795930122343745013718293<48>
1648828582186947758223219615219991321258882551942718717<55>

Number: 64449_141
N=490013052621464118683651322907303005438915081644290634464703535904536125332452737523019513099576390081
  ( 102 digits)
Divisors found:
 r1=297188596750020055603166795930122343745013718293
 r2=1648828582186947758223219615219991321258882551942718717
Version: 
Total time: 3.55 hours.
Scaled time: 8.48 units (timescale=2.391).
Factorization parameters were as follows:
name: 64449_141
n: 490013052621464118683651322907303005438915081644290634464703535904536125332452737523019513099576390081
skew: 2999.04
# norm 2.87e+14
c5: 285840
c4: -580998390
c3: -39809786971105
c2: 13101624497222693
c1: 51794700540962006453
c0: -6871927561416625019595
# alpha -6.32
Y1: 42203408671
Y0: -17652952443475187786
# Murphy_E 2.92e-09
# M 43468290854972797452314451564270390388087360027321479264612436286247719101896379620470713861572886086
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4920370
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221588 x 221836
Polynomial selection time: 0.22 hours.
Total sieving time: 2.86 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 3.55 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

10528364472029503674546930418450190626108381180174211115822246930224941166469042970442458502269726972756776294182752205261<122>

522074508523921921621312471446082179548893172922272368021<57>
20166402113362492556571937451567880430507687069249483258274948441<65>

Number: 64449_142
N=10528364472029503674546930418450190626108381180174211115822246930224941166469042970442458502269726972756776294182752205261
  ( 122 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=522074508523921921621312471446082179548893172922272368021
 r2=20166402113362492556571937451567880430507687069249483258274948441
Version: 
Total time: 4.72 hours.
Scaled time: 11.29 units (timescale=2.390).
Factorization parameters were as follows:
n: 10528364472029503674546930418450190626108381180174211115822246930224941166469042970442458502269726972756776294182752205261
m: 20000000000000000000000000000
deg: 5
c5: 725
c0: 164
skew: 0.74
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4703864
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 321444 x 321692
Total sieving time: 4.07 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,49,49,2.3,2.3,50000
total time: 4.72 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

17814487855730942101864005469134517687896385849816384316995836597205299202233380008914073671456700277<101>

3550330562770319439823346494483581255745491313<46>
5017698363791318288256268260704825461570233445854479429<55>

Number: 64449_144
N=17814487855730942101864005469134517687896385849816384316995836597205299202233380008914073671456700277
  ( 101 digits)
Divisors found:
 r1=3550330562770319439823346494483581255745491313
 r2=5017698363791318288256268260704825461570233445854479429
Version: 
Total time: 2.62 hours.
Scaled time: 6.24 units (timescale=2.384).
Factorization parameters were as follows:
name: 64449_144
n: 17814487855730942101864005469134517687896385849816384316995836597205299202233380008914073671456700277
skew: 1770.95
# norm 5.81e+13
c5: 602640
c4: 1871645292
c3: 8704689514020
c2: -3695448870658363
c1: -15197534558257118770
c0: 5588911043113068396936
# alpha -5.76
Y1: 62518557167
Y0: -7836839010963824795
# Murphy_E 3.24e-09
# M 16121912846489293313346083522004164419855127380897457966767740960635640065692258082666037901042514449
type: gnfs
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [600000, 1100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4181672
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 208491 x 208739
Polynomial selection time: 0.19 hours.
Total sieving time: 2.06 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,26,26,49,49,2.5,2.5,50000
total time: 2.62 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

141476858852141129982085096165096307405123624215597661573103210099884666813868205468677251665186249925639019054609841<117>

1044143941895224076008252929168616516373419781<46>
135495551116589058893468838756066885759317128660887029717156341753187261<72>

Number: 64449_146
N=141476858852141129982085096165096307405123624215597661573103210099884666813868205468677251665186249925639019054609841
  ( 117 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=1044143941895224076008252929168616516373419781
 r2=135495551116589058893468838756066885759317128660887029717156341753187261
Version: 
Total time: 6.16 hours.
Scaled time: 14.51 units (timescale=2.355).
Factorization parameters were as follows:
n: 141476858852141129982085096165096307405123624215597661573103210099884666813868205468677251665186249925639019054609841
m: 100000000000000000000000000000
deg: 5
c5: 580
c0: 41
skew: 0.59
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1500000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6811242
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 372186 x 372434
Total sieving time: 5.31 hours.
Total relation processing time: 0.50 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,49,49,2.3,2.3,75000
total time: 6.16 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

3043791961056964650204073474298058150487255812058742155043591009507435709246375658619967190325348574728898111100942827283085170727<130>

104226810757989487023155307155618642769595857629037983413<57>
29203541189843452413587717044503298257109696168892743916901538636843884779<74>

Number: 64449_147
N=3043791961056964650204073474298058150487255812058742155043591009507435709246375658619967190325348574728898111100942827283085170727
  ( 130 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=104226810757989487023155307155618642769595857629037983413 (pp57)
 r2=29203541189843452413587717044503298257109696168892743916901538636843884779 (pp74)
Version: Msieve-1.40
Total time: 10.41 hours.
Scaled time: 34.93 units (timescale=3.357).
Factorization parameters were as follows:
name: 64449_147
n: 3043791961056964650204073474298058150487255812058742155043591009507435709246375658619967190325348574728898111100942827283085170727
m: 200000000000000000000000000000
deg: 5
c5: 725
c0: 164
skew: 0.74
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 368768 x 369016
Total sieving time: 10.10 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 10.41 hours.
 --------- CPU info (if available) ----------

1735364574321690008200642197598958580298118964657785245246879331636960268082291614275971412554302452221654247232075389849383<124>

37355104026158289925635199403391287893388509054633<50>
46455889216811801389017392632315875552686098951001099958910251693636540751<74>

Number: 64449_148
N=1735364574321690008200642197598958580298118964657785245246879331636960268082291614275971412554302452221654247232075389849383
  ( 124 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=37355104026158289925635199403391287893388509054633
 r2=46455889216811801389017392632315875552686098951001099958910251693636540751
Version: 
Total time: 7.25 hours.
Scaled time: 17.32 units (timescale=2.388).
Factorization parameters were as follows:
n: 1735364574321690008200642197598958580298118964657785245246879331636960268082291614275971412554302452221654247232075389849383
m: 1000000000000000000000000000000
deg: 5
c5: 29
c0: 2050
skew: 2.34
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 1700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6663329
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 391208 x 391456
Total sieving time: 6.67 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000
total time: 7.25 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673788)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672383)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

171610366629216617736141540111186208266328445401431653663190700487849543363369209052931064897099041336492494106997<114>

1696102823243283336102096639983899<34>
101179223498410154287697137052894881945104457224269718891386984074813463313174703<81>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 171610366629216617736141540111186208266328445401431653663190700487849543363369209052931064897099041336492494106997 (114 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=8045793004
Step 1 took 2679ms
Step 2 took 1931ms
********** Factor found in step 2: 1696102823243283336102096639983899
Found probable prime factor of 34 digits: 1696102823243283336102096639983899
Probable prime cofactor 101179223498410154287697137052894881945104457224269718891386984074813463313174703 has 81 digits

Core 2 Quad Q6700

215294994417363674931136225643408162820625750446894872679180279899083069754724435213485959666858464810831238754316525438718302869648420675728581461<147>

11070022447903046623645328650347018977427326705944677000437857521689<68>
19448469542909211426583031757749301794789777521107886109243313377103525520008349<80>

Number: n
N=215294994417363674931136225643408162820625750446894872679180279899083069754724435213485959666858464810831238754316525438718302869648420675728581461
  ( 147 digits)
SNFS difficulty: 154 digits.
Divisors found:

Wed Aug 12 12:03:18 2009  prp68 factor: 11070022447903046623645328650347018977427326705944677000437857521689
Wed Aug 12 12:03:18 2009  prp80 factor: 19448469542909211426583031757749301794789777521107886109243313377103525520008349
Wed Aug 12 12:03:18 2009  elapsed time 01:52:28 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.90 hours.
Scaled time: 18.76 units (timescale=0.943).
Factorization parameters were as follows:
name: KA_6_4_151_9
n: 215294994417363674931136225643408162820625750446894872679180279899083069754724435213485959666858464810831238754316525438718302869648420675728581461
m: 2000000000000000000000000000000
deg: 5
c5: 725
c0: 164
skew: 0.74
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [1300000, 2050001)
Primes: RFBsize:189880, AFBsize:189046, largePrimes:27535725 encountered
Relations: rels:24932402, finalFF:456925
Max relations in full relation-set: 28
Initial matrix: 378993 x 456925 with sparse part having weight 73195773.
Pruned matrix : 

Msieve: found 2077426 hash collisions in 26024074 relations
Msieve: matrix is 475387 x 475634 (127.1 MB)

Total sieving time: 19.20 hours.
Total relation processing time: 0.70 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,29,29,58,58,2.6,2.6,100000
total time: 19.90 hours.
 --------- CPU info (if available) ----------

21647117904706426189450950955016520273027057886377657995652670021137134050778094557363598017537468435215087853257755032275763510326739547577147<143>

19602950039461147737333838041523754911<38>
1104278583638193529919243527908672991914078598007534915906542790083954395182929626640133526640510031759077<106>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 21647117904706426189450950955016520273027057886377657995652670021137134050778094557363598017537468435215087853257755032275763510326739547577147 (143 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=127652953
Step 1 took 4052ms
Step 2 took 2504ms
********** Factor found in step 2: 19602950039461147737333838041523754911
Found probable prime factor of 38 digits: 19602950039461147737333838041523754911
Probable prime cofactor 1104278583638193529919243527908672991914078598007534915906542790083954395182929626640133526640510031759077 has 106 digits

Core 2 Quad Q6700

137115839243498817966903073286052009456264775413711583924349881796690307328605200945626477541371158392434988179669030732860520094562647754137115839243498817967<159>

21092604873221414521443936704579<32>
6500659357516210823212559424126325115688797215821254650858989687046391572429678404166908697240963504783993737251101929522190373<127>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 137115839243498817966903073286052009456264775413711583924349881796690307328605200945626477541371158392434988179669030732860520094562647754137115839243498817967 (159 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1988145448
Step 1 took 4787ms
Step 2 took 2705ms
********** Factor found in step 2: 21092604873221414521443936704579
Found probable prime factor of 32 digits: 21092604873221414521443936704579
Probable prime cofactor 6500659357516210823212559424126325115688797215821254650858989687046391572429678404166908697240963504783993737251101929522190373 has 127 digits

Core 2 Quad Q6700

216474452282312544321277945732094203709924233941701190609487552718993767028701526518120404583286679356548352181539954465718657858395849662225208076736461015937<159>

3654704663721431785734998256008161717483<40>
59231722451106549788320435782143534486295223609948241326485620953755925134115062706023714637202558162648631578274012739<119>

Number: 64449_161
N=216474452282312544321277945732094203709924233941701190609487552718993767028701526518120404583286679356548352181539954465718657858395849662225208076736461015937
  ( 159 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=3654704663721431785734998256008161717483
 r2=59231722451106549788320435782143534486295223609948241326485620953755925134115062706023714637202558162648631578274012739
Version: 
Total time: 18.03 hours.
Scaled time: 42.94 units (timescale=2.381).
Factorization parameters were as follows:
n: 216474452282312544321277945732094203709924233941701190609487552718993767028701526518120404583286679356548352181539954465718657858395849662225208076736461015937
m: 100000000000000000000000000000000
deg: 5
c5: 580
c0: 41
skew: 0.59
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9614060
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 672370 x 672618
Total sieving time: 16.52 hours.
Total relation processing time: 0.51 hours.
Matrix solve time: 0.92 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 18.03 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673798)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672387)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

105268527483812339334342341086979371310318838050297559395543654117627237975927554198893362237003523082233591893910169<117>

35354718772917701681492033166427827343819<41>
2977495823399103642870676144152784725505450903763932457717703309648252436651<76>

Thu Aug 13 14:51:14 2009  
Thu Aug 13 14:51:14 2009  
Thu Aug 13 14:51:14 2009  Msieve v. 1.42
Thu Aug 13 14:51:14 2009  random seeds: 6239ca34 0a4dea92
Thu Aug 13 14:51:14 2009  factoring 105268527483812339334342341086979371310318838050297559395543654117627237975927554198893362237003523082233591893910169 (117 digits)
Thu Aug 13 14:51:15 2009  searching for 15-digit factors
Thu Aug 13 14:51:16 2009  commencing number field sieve (117-digit input)
Thu Aug 13 14:51:16 2009  R0: -29317831392317037372404
Thu Aug 13 14:51:16 2009  R1:  1913949221161
Thu Aug 13 14:51:16 2009  A0: -728982585579479297678902795
Thu Aug 13 14:51:16 2009  A1:  1550972593082845957057335
Thu Aug 13 14:51:16 2009  A2: -9804057744669819423
Thu Aug 13 14:51:16 2009  A3: -515744502109505
Thu Aug 13 14:51:16 2009  A4:  525317832
Thu Aug 13 14:51:16 2009  A5:  4860
Thu Aug 13 14:51:16 2009  skew 119821.42, size 4.205158e-011, alpha -6.397800, combined = 4.770932e-010
Thu Aug 13 14:51:16 2009  
Thu Aug 13 14:51:16 2009  commencing relation filtering
Thu Aug 13 14:51:16 2009  estimated available RAM is 3069.5 MB
Thu Aug 13 14:51:16 2009  commencing duplicate removal, pass 1
Thu Aug 13 14:51:23 2009  error -11 reading relation 454382
Thu Aug 13 14:53:02 2009  found 1086882 hash collisions in 9055892 relations
Thu Aug 13 14:53:29 2009  added 59696 free relations
Thu Aug 13 14:53:29 2009  commencing duplicate removal, pass 2
Thu Aug 13 14:54:05 2009  found 703872 duplicates and 8411715 unique relations
Thu Aug 13 14:54:05 2009  memory use: 41.3 MB
Thu Aug 13 14:54:05 2009  reading ideals above 100000
Thu Aug 13 14:54:05 2009  commencing singleton removal, initial pass
Thu Aug 13 14:56:27 2009  memory use: 149.2 MB
Thu Aug 13 14:56:27 2009  reading all ideals from disk
Thu Aug 13 14:56:43 2009  memory use: 289.6 MB
Thu Aug 13 14:56:45 2009  keeping 8758426 ideals with weight <= 200, target excess is 44355
Thu Aug 13 14:56:47 2009  commencing in-memory singleton removal
Thu Aug 13 14:56:49 2009  begin with 8411715 relations and 8758426 unique ideals
Thu Aug 13 14:57:02 2009  reduce to 3547796 relations and 3091338 ideals in 13 passes
Thu Aug 13 14:57:02 2009  max relations containing the same ideal: 115
Thu Aug 13 14:57:07 2009  removing 928378 relations and 725875 ideals in 202503 cliques
Thu Aug 13 14:57:07 2009  commencing in-memory singleton removal
Thu Aug 13 14:57:08 2009  begin with 2619418 relations and 3091338 unique ideals
Thu Aug 13 14:57:13 2009  reduce to 2479610 relations and 2216512 ideals in 8 passes
Thu Aug 13 14:57:13 2009  max relations containing the same ideal: 89
Thu Aug 13 14:57:16 2009  removing 715041 relations and 512538 ideals in 202503 cliques
Thu Aug 13 14:57:16 2009  commencing in-memory singleton removal
Thu Aug 13 14:57:16 2009  begin with 1764569 relations and 2216512 unique ideals
Thu Aug 13 14:57:19 2009  reduce to 1631712 relations and 1560558 ideals in 8 passes
Thu Aug 13 14:57:19 2009  max relations containing the same ideal: 68
Thu Aug 13 14:57:21 2009  removing 118317 relations and 98615 ideals in 19702 cliques
Thu Aug 13 14:57:21 2009  commencing in-memory singleton removal
Thu Aug 13 14:57:22 2009  begin with 1513395 relations and 1560558 unique ideals
Thu Aug 13 14:57:24 2009  reduce to 1507858 relations and 1456319 ideals in 6 passes
Thu Aug 13 14:57:24 2009  max relations containing the same ideal: 67
Thu Aug 13 14:57:24 2009  relations with 0 large ideals: 175
Thu Aug 13 14:57:24 2009  relations with 1 large ideals: 1081
Thu Aug 13 14:57:24 2009  relations with 2 large ideals: 9840
Thu Aug 13 14:57:24 2009  relations with 3 large ideals: 54246
Thu Aug 13 14:57:24 2009  relations with 4 large ideals: 176982
Thu Aug 13 14:57:24 2009  relations with 5 large ideals: 349708
Thu Aug 13 14:57:24 2009  relations with 6 large ideals: 426938
Thu Aug 13 14:57:24 2009  relations with 7+ large ideals: 488888
Thu Aug 13 14:57:24 2009  commencing 2-way merge
Thu Aug 13 14:57:27 2009  reduce to 954045 relation sets and 902506 unique ideals
Thu Aug 13 14:57:27 2009  commencing full merge
Thu Aug 13 14:57:53 2009  memory use: 95.9 MB
Thu Aug 13 14:57:53 2009  found 477338 cycles, need 470706
Thu Aug 13 14:57:53 2009  weight of 470706 cycles is about 33244760 (70.63/cycle)
Thu Aug 13 14:57:53 2009  distribution of cycle lengths:
Thu Aug 13 14:57:53 2009  1 relations: 46902
Thu Aug 13 14:57:53 2009  2 relations: 48364
Thu Aug 13 14:57:53 2009  3 relations: 51540
Thu Aug 13 14:57:53 2009  4 relations: 50100
Thu Aug 13 14:57:53 2009  5 relations: 46810
Thu Aug 13 14:57:53 2009  6 relations: 42132
Thu Aug 13 14:57:53 2009  7 relations: 36419
Thu Aug 13 14:57:53 2009  8 relations: 30854
Thu Aug 13 14:57:53 2009  9 relations: 26007
Thu Aug 13 14:57:53 2009  10+ relations: 91578
Thu Aug 13 14:57:53 2009  heaviest cycle: 21 relations
Thu Aug 13 14:57:53 2009  commencing cycle optimization
Thu Aug 13 14:57:55 2009  start with 2871862 relations
Thu Aug 13 14:58:05 2009  pruned 81938 relations
Thu Aug 13 14:58:05 2009  memory use: 72.8 MB
Thu Aug 13 14:58:05 2009  distribution of cycle lengths:
Thu Aug 13 14:58:05 2009  1 relations: 46902
Thu Aug 13 14:58:05 2009  2 relations: 49463
Thu Aug 13 14:58:05 2009  3 relations: 53366
Thu Aug 13 14:58:05 2009  4 relations: 51651
Thu Aug 13 14:58:05 2009  5 relations: 48234
Thu Aug 13 14:58:05 2009  6 relations: 43133
Thu Aug 13 14:58:05 2009  7 relations: 37001
Thu Aug 13 14:58:05 2009  8 relations: 31076
Thu Aug 13 14:58:05 2009  9 relations: 26045
Thu Aug 13 14:58:05 2009  10+ relations: 83835
Thu Aug 13 14:58:05 2009  heaviest cycle: 21 relations
Thu Aug 13 14:58:05 2009  RelProcTime: 409
Thu Aug 13 14:58:05 2009  
Thu Aug 13 14:58:05 2009  commencing linear algebra
Thu Aug 13 14:58:06 2009  read 470706 cycles
Thu Aug 13 14:58:07 2009  cycles contain 1474652 unique relations
Thu Aug 13 14:58:43 2009  read 1474652 relations
Thu Aug 13 14:58:47 2009  using 20 quadratic characters above 134213298
Thu Aug 13 14:58:58 2009  building initial matrix
Thu Aug 13 14:59:26 2009  memory use: 167.9 MB
Thu Aug 13 14:59:28 2009  read 470706 cycles
Thu Aug 13 14:59:28 2009  matrix is 470527 x 470706 (135.6 MB) with weight 45098600 (95.81/col)
Thu Aug 13 14:59:28 2009  sparse part has weight 31768393 (67.49/col)
Thu Aug 13 14:59:36 2009  filtering completed in 2 passes
Thu Aug 13 14:59:36 2009  matrix is 470306 x 470485 (135.5 MB) with weight 45089323 (95.84/col)
Thu Aug 13 14:59:36 2009  sparse part has weight 31765638 (67.52/col)
Thu Aug 13 14:59:38 2009  read 470485 cycles
Thu Aug 13 14:59:39 2009  matrix is 470306 x 470485 (135.5 MB) with weight 45089323 (95.84/col)
Thu Aug 13 14:59:39 2009  sparse part has weight 31765638 (67.52/col)
Thu Aug 13 14:59:39 2009  saving the first 48 matrix rows for later
Thu Aug 13 14:59:40 2009  matrix is 470258 x 470485 (129.3 MB) with weight 35913518 (76.33/col)
Thu Aug 13 14:59:40 2009  sparse part has weight 31066595 (66.03/col)
Thu Aug 13 14:59:40 2009  matrix includes 64 packed rows
Thu Aug 13 14:59:40 2009  using block size 65536 for processor cache size 3072 kB
Thu Aug 13 14:59:44 2009  commencing Lanczos iteration
Thu Aug 13 14:59:44 2009  memory use: 130.2 MB
Thu Aug 13 15:39:12 2009  lanczos halted after 7439 iterations (dim = 470256)
Thu Aug 13 15:39:14 2009  recovered 29 nontrivial dependencies
Thu Aug 13 15:39:14 2009  BLanczosTime: 2469
Thu Aug 13 15:39:14 2009  
Thu Aug 13 15:39:14 2009  commencing square root phase
Thu Aug 13 15:39:14 2009  reading relations for dependency 1
Thu Aug 13 15:39:14 2009  read 235617 cycles
Thu Aug 13 15:39:15 2009  cycles contain 924126 unique relations
Thu Aug 13 15:39:48 2009  read 924126 relations
Thu Aug 13 15:39:53 2009  multiplying 737592 relations
Thu Aug 13 15:41:37 2009  multiply complete, coefficients have about 31.47 million bits
Thu Aug 13 15:41:38 2009  initial square root is modulo 1088586883
Thu Aug 13 15:44:50 2009  sqrtTime: 336
Thu Aug 13 15:44:50 2009  prp41 factor: 35354718772917701681492033166427827343819
Thu Aug 13 15:44:50 2009  prp76 factor: 2977495823399103642870676144152784725505450903763932457717703309648252436651
Thu Aug 13 15:44:50 2009  elapsed time 00:53:36
Thu Aug 13 15:44:50 2009  total time ~ 41,11 hours

Msieve v. 1.42 / GGNFS

Intel Core 2 Duo T8100 / Windows Vista32bit

35147082238399905566036355276072819135190316906897480108713199435188564513655611555102672917103076788399563036475073085609589123129960373650671362278241<152>

706604938908288596762603928693621117476374747431908877267657716973583417<72>
49740782017038381446898408076325283314020354933960390731754594066785632705466473<80>

Number: 64449_166
N=35147082238399905566036355276072819135190316906897480108713199435188564513655611555102672917103076788399563036475073085609589123129960373650671362278241
  ( 152 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=706604938908288596762603928693621117476374747431908877267657716973583417 (pp72)
 r2=49740782017038381446898408076325283314020354933960390731754594066785632705466473 (pp80)
Version: Msieve-1.40
Total time: 43.05 hours.
Scaled time: 143.74 units (timescale=3.339).
Factorization parameters were as follows:
name: 64449_166
n: 35147082238399905566036355276072819135190316906897480108713199435188564513655611555102672917103076788399563036475073085609589123129960373650671362278241
m: 2000000000000000000000000000000000
deg: 5
c5: 145
c0: 328
skew: 1.18
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2250000, 4450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 842623 x 842871
Total sieving time: 41.52 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.36 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 43.05 hours.
 --------- CPU info (if available) ----------

3132933614217036676929725058067304056608869443094042024523307945767838815967158213147517960352184951115432398854858747906876249122238427051261275860206341489763949657<166>

336340635039131954550293537507006243<36>

9314763926316936870617423027014862687838866087875593973448170193850377580272582112388416930433089994630940974221974276541583881299<130>

C166=P36*C130
C166=336340635039131954550293537507006243<36>*9314763926316936870617423027014862687838866087875593973448170193850377580272582112388416930433089994630940974221974276541583881299<130>

ECMNET

9314763926316936870617423027014862687838866087875593973448170193850377580272582112388416930433089994630940974221974276541583881299<130>

6468180746247313164919651472070638965886398620871300817741023<61>
1440090234293645015127160651757741514630147400069989660127682788576013<70>

Number: 64449_168
N=9314763926316936870617423027014862687838866087875593973448170193850377580272582112388416930433089994630940974221974276541583881299
  ( 130 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=6468180746247313164919651472070638965886398620871300817741023
 r2=1440090234293645015127160651757741514630147400069989660127682788576013
Version: 
Total time: 39.52 hours.
Scaled time: 94.28 units (timescale=2.386).
Factorization parameters were as follows:
n: 9314763926316936870617423027014862687838866087875593973448170193850377580272582112388416930433089994630940974221974276541583881299
m: 10000000000000000000000000000000000
deg: 5
c5: 29
c0: 2050
skew: 2.34
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3100000, 6100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11320930
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 971090 x 971338
Total sieving time: 36.11 hours.
Total relation processing time: 1.20 hours.
Matrix solve time: 1.97 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.4,2.4,100000
total time: 39.52 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673791)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672381)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

1111569641177682905827766734822556472258127295369817487344420594870737932763875901120460565176598213058187610436144014097581688916719<133>

1268227929841860533189429196657056691419100472647721<52>
876474658081602209257265498268798224770709796472774664205322953842768425268663639<81>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1249571775
Step 1 took 37981ms
Step 2 took 13962ms
********** Factor found in step 2: 1268227929841860533189429196657056691419100472647721
Found probable prime factor of 52 digits: 1268227929841860533189429196657056691419100472647721
Probable prime cofactor 876474658081602209257265498268798224770709796472774664205322953842768425268663639 has 81 digits

GMP-ECM 6.2.1

1125196628323871537050544410903193876581153579714044972724099733552508728126037056929993269101100025133827011425034680879743<124>

2202184715456389693063837224368295327739<40>
510945617062227781245498909898705264220997982507792737736799211040862361156935490637<84>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 1125196628323871537050544410903193876581153579714044972724099733552508728126037056929993269101100025133827011425034680879743 (124 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2028390863
Step 1 took 3343ms
Step 2 took 2092ms
********** Factor found in step 2: 2202184715456389693063837224368295327739
Found probable prime factor of 40 digits: 2202184715456389693063837224368295327739
Probable prime cofactor 510945617062227781245498909898705264220997982507792737736799211040862361156935490637 has 84 digits

Core 2 Quad Q6700

4607496945873447379717157958705450698899878059166137463912938864849148981559405233463280839006543530462850528571464561035999797294654304415406548066392325223<157>

2041148390396131171428748314081779<34>
2257306214262676916296071260417755948613956142984651390197249440412914667564945629271119146217573409222201567494926092008637<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1218610554
Step 1 took 60012ms
Step 2 took 22787ms
********** Factor found in step 2: 2041148390396131171428748314081779
Found probable prime factor of 34 digits: 2041148390396131171428748314081779
Probable prime cofactor 2257306214262676916296071260417755948613956142984651390197249440412914667564945629271119146217573409222201567494926092008637 has 124 digits

4874994618235413978784737896330473095268787943777668527123865098502424895570547428879961541196833794595133367384684319787790326471111272659293321246377851237374353091<166>

122700087417428393866041306897244423747664446441417848853455525008797277<72>
39730979177305515309675089631803028154889057382918572993935371107942217399612763652262704148383<95>

N=4874994618235413978784737896330473095268787943777668527123865098502424895570547428879961541196833794595133367384684319787790326471111272659293321246377851237374353091
  ( 166 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=122700087417428393866041306897244423747664446441417848853455525008797277 (pp72)
 r2=39730979177305515309675089631803028154889057382918572993935371107942217399612763652262704148383 (pp95)
Version: Msieve v. 1.47
Total time:
Scaled time: 265.92 units (timescale=1.271).
Factorization parameters were as follows:
n: 4874994618235413978784737896330473095268787943777668527123865098502424895570547428879961541196833794595133367384684319787790326471111272659293321246377851237374353091
m: 100000000000000000000000000000000000
deg: 5
c5: 58000
c0: 41
skew: 0.23
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 9450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1379156 x 1379383
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time:

7729052461934860170018546960392955931439763946720651310775195073183751786184573081172482275516143092830271185459148107538379678456307<133>

12168445837390283378749132344323<32>
635171702715363223405943616590905150867918196427406156053354992650488343086622847098876838786815913809<102>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4122123285
Step 1 took 2544ms
Step 2 took 1992ms
********** Factor found in step 2: 12168445837390283378749132344323
Found probable prime factor of 32 digits: 12168445837390283378749132344323
Probable prime cofactor has 102 digits

GMP-ECM 6.2

360085178769874528940294152340864080261744674774791554140048301080876372824744060146641584871455799544305997901572578892800158934147870841171394336729309071042322425235762666617<177>

1280000823649561544625004925310473<34>
281316364893573382047531009276426345002478941203207649965104069424638937150544933870763338855019543891400117696494924919567782620672341626777329<144>

Number: 64449_180
N=360085178769874528940294152340864080261744674774791554140048301080876372824744060146641584871455799544305997901572578892800158934147870841171394336729309071042322425235762666617
  ( 177 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=1280000823649561544625004925310473 (pp34)
 r2=281316364893573382047531009276426345002478941203207649965104069424638937150544933870763338855019543891400117696494924919567782620672341626777329 (pp144)
Version: Msieve-1.40
Total time: 139.70 hours.
Scaled time: 468.96 units (timescale=3.357).
Factorization parameters were as follows:
name: 64449_180
n: 360085178769874528940294152340864080261744674774791554140048301080876372824744060146641584871455799544305997901572578892800158934147870841171394336729309071042322425235762666617
m: 1000000000000000000000000000000000000
deg: 5
c5: 58
c0: 41
skew: 0.93
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 6050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1433571 x 1433819
Total sieving time: 134.91 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 4.50 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 139.70 hours.
 --------- CPU info (if available) ----------

588822174382783834498095766821866244938413841087727368360767433340950538283833081188176052545166447836147019996633680922472194767499187892631531731657033609519<159>

7938720244815368193318440934140806527797<40>
74170918765821574209290021058027843228268369776044995614038738363782123356776813122407660986492913635098874813069747027<119>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2990682696
Step 1 took 8057ms
Step 2 took 2939ms
********** Factor found in step 2: 7938720244815368193318440934140806527797
Found probable prime factor of 40 digits: 7938720244815368193318440934140806527797
Probable prime cofactor 74170918765821574209290021058027843228268369776044995614038738363782123356776813122407660986492913635098874813069747027 has 119 digits

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]

Core-i5, 3.4 GHz, Limux (OpenSUSE)

396651739567495046469460996106042517373517163633682817710007776425742451700298972829287451395629403902875307943655483617975408823134972585551796254499689141296171715735564321559<177>

1124445195591089513150377568104895762621<40>
352753287686009701334481173435704688853033262213188201323401981263868389798726003463961356497108708406546386033495437280330160646585684579<138>

Number: 64449_182
N=396651739567495046469460996106042517373517163633682817710007776425742451700298972829287451395629403902875307943655483617975408823134972585551796254499689141296171715735564321559
  ( 177 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=1124445195591089513150377568104895762621
 r2=352753287686009701334481173435704688853033262213188201323401981263868389798726003463961356497108708406546386033495437280330160646585684579
Version: 
Total time: 260.53 hours.
Scaled time: 523.40 units (timescale=2.009).
Factorization parameters were as follows:
n: 396651739567495046469460996106042517373517163633682817710007776425742451700298972829287451395629403902875307943655483617975408823134972585551796254499689141296171715735564321559
m: 1000000000000000000000000000000000000
deg: 5
c5: 5800
c0: 41
skew: 0.37
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 6950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1234907 x 1235155
Total sieving time: 260.53 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,183,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 260.53 hours.
 --------- CPU info (if available) ----------

2625431196420215271124013919782935481906698926634501945869111561724809514791710715346538093188734056322020880437906441523520618971723840667877<142>

311585105595845143188564102657169716718024651601377<51>
8426048451191513872943405143284130658959573115072720754874509607280086614997710716028314501<91>

Number: 64449_183
N=2625431196420215271124013919782935481906698926634501945869111561724809514791710715346538093188734056322020880437906441523520618971723840667877
  ( 142 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=311585105595845143188564102657169716718024651601377
 r2=8426048451191513872943405143284130658959573115072720754874509607280086614997710716028314501
Version: 
Total time: 82.10 hours.
Scaled time: 431.83 units (timescale=5.260).
Factorization parameters were as follows:
n: 2625431196420215271124013919782935481906698926634501945869111561724809514791710715346538093188734056322020880437906441523520618971723840667877
m: 2000000000000000000000000000000000000
deg: 5
c5: 3625
c0: 82
skew: 0.47
# Murphy_E = 5.455e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20644749
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1615925 x 1616173
Total sieving time: 76.44 hours.
Total relation processing time: 2.02 hours.
Matrix solve time: 3.35 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 82.10 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

28337073212250132306907567935436605189846188754834110051461136446527832326151158678613209270868992960322686829683309631127180867671517<134>

5434568405282767677084717457005897863<37>
5214226981613587299307208939812941841063896833206186560764164881256432755853663117591613170875259<97>

Number: n
N=28337073212250132306907567935436605189846188754834110051461136446527832326151158678613209270868992960322686829683309631127180867671517
  ( 134 digits)
Divisors found:

Sun Apr 29 12:59:24 2012  prp37 factor: 5434568405282767677084717457005897863
Sun Apr 29 12:59:24 2012  prp97 factor: 5214226981613587299307208939812941841063896833206186560764164881256432755853663117591613170875259
Sun Apr 29 12:59:24 2012  elapsed time 02:15:46 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
name: KA_64449_184
n: 28337073212250132306907567935436605189846188754834110051461136446527832326151158678613209270868992960322686829683309631127180867671517
skew: 327569.83
# norm 1.92e+18
c5: 26160
c4: -1713459034
c3: -27070208050006567
c2: 509240777578471907249
c1: 409242186600035907219340087
c0: -11207348220260447745987824471550
# alpha -5.42
Y1: 611611165450373
Y0: -64112617025313532937442649
# Murphy_E 4.79e-11
# M 15379238369760741509088557822999566909324371586864680077064554308727035175433974204694686236096368361180135521974974082883690349534304
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 24060000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3248829 hash collisions in 13827744 relations (10487355 unique)
Msieve: matrix is 1186528 x 1186753 (342.2 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,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
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).

5117265064425278031084929866479577941061397210216482865046821342941688747563820870603956363134717650333770261589099520294683067388058941260834650071<148>

115542742195368750092729971136205773475915721421164486966715399<63>
44288935567866340286899466871678229088146985354654465105269636446322148177131176196529<86>

Number: 64449_185
N=5117265064425278031084929866479577941061397210216482865046821342941688747563820870603956363134717650333770261589099520294683067388058941260834650071
  ( 148 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=115542742195368750092729971136205773475915721421164486966715399
 r2=44288935567866340286899466871678229088146985354654465105269636446322148177131176196529
Version: 
Total time: 75.49 hours.
Scaled time: 396.71 units (timescale=5.255).
Factorization parameters were as follows:
n: 5117265064425278031084929866479577941061397210216482865046821342941688747563820870603956363134717650333770261589099520294683067388058941260834650071
m: 10000000000000000000000000000000000000
deg: 5
c5: 58
c0: 41
skew: 0.93
# Murphy_E = 5.977e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20444644
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1630269 x 1630517
Total sieving time: 69.93 hours.
Total relation processing time: 1.79 hours.
Matrix solve time: 3.37 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 75.49 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

7790204783685248314507586714893223328704235507635781293440379832986376009662543724651483338209333877088409378085027427330502584975428717<136>

65875415560641246379436337413163876467227562212381<50>
118256632119671696797665140250150779135005798434304738605504079252168348673334335783057<87>

Number: n
N=7790204783685248314507586714893223328704235507635781293440379832986376009662543724651483338209333877088409378085027427330502584975428717
  ( 136 digits)
Divisors found:

Tue May 22 04:38:51 2012  prp50 factor: 65875415560641246379436337413163876467227562212381
Tue May 22 04:38:51 2012  prp87 factor: 118256632119671696797665140250150779135005798434304738605504079252168348673334335783057
Tue May 22 04:38:51 2012  elapsed time 04:58:08 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
name: KA_64449_186
n: 7790204783685248314507586714893223328704235507635781293440379832986376009662543724651483338209333877088409378085027427330502584975428717
skew: 295943.37
# norm 1.28e+18
c5: 44460
c4: -57096265751
c3: -900893621566580
c2: 2743463218560634108200
c1: -186568867401970997107511676
c0: -33104227878244772614241179138215
# alpha -5.17
Y1: 832354569046357
Y0: -177303131796682539466783516
# Murphy_E 3.60e-11
# M 3110919220629539407253469282037273426062192245411988236366728550633789242789297518553091852496779038947276716994725793868832922493562561
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, 15460000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2014181 hash collisions in 23484775 relations (22223361 unique)
Msieve: matrix is 1843444 x 1843670 (535.5 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: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.43 BogoMIPS (lpj=2830715)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22644.15 BogoMIPS).

248108489591460980312417272537903441658361226851702740557431060424235449229527746069508933855398695173883<105>

3339319253796127630188959796136480948753637<43>
74299122286499570025192389670970928627261334898949097017828959<62>

Number: n
N=248108489591460980312417272537903441658361226851702740557431060424235449229527746069508933855398695173883
  ( 105 digits)
Divisors found:
 r1=3339319253796127630188959796136480948753637 (pp43)
 r2=74299122286499570025192389670970928627261334898949097017828959 (pp62)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.55 hours.
Scaled time: 15.64 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_6_4_188_9
n: 248108489591460980312417272537903441658361226851702740557431060424235449229527746069508933855398695173883
Y0: -136270219024381679450
Y1:  45562200853
c0: -684169272975852034269820119
c1:  45234606651522858406119
c2:  188909143076621294
c3: -34709869262836
c4:  106646558
c5:  5280
skew: 46076.58
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1250000, 1950001)
Primes: RFBsize:183072, AFBsize:183774, largePrimes:14525770 encountered
Relations: rels:12546494, finalFF:474415
Max relations in full relation-set: 48
Initial matrix: 366932 x 474415 with sparse part having weight 52901740.
Pruned matrix : 288929 x 290827 with weight 26572457.
Total sieving time: 7.25 hours.
Total relation processing time: 0.39 hours.
Matrix solve time: 0.76 hours.
Total square root time: 0.15 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,28,28,56,56,2.6,2.6,150000
total time: 8.55 hours.
 --------- CPU info (if available) ----------

32345780142397107513359051892737710366465672776004678344377318342772363503197831625332524124146807227368431081937095633450102264562615139000517239614613724929<158>

17633706564730265309940208631338097274606977<44>
1834315435819541551893331455107213984440953900585724272976638803383100673356726514182364972536583600797457668770177<115>

GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Input number is 32345780142397107513359051892737710366465672776004678344377318342772363503197831625332524124146807227368431081937095633450102264562615139000517239614613724929 (158 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1531453420
Step 1 took 70676ms
Step 2 took 23468ms
********** Factor found in step 2: 17633706564730265309940208631338097274606977
Found prime factor of 44 digits: 17633706564730265309940208631338097274606977
Prime cofactor 1834315435819541551893331455107213984440953900585724272976638803383100673356726514182364972536583600797457668770177 has 115 digits

38194909331012966184888054348384248595353155036863711969745647094520528160825646180031191527176432520279110132051984954136853698124869133391479723446151925032421<161>

389330198417547379466454031507<30>
98104152943332266788674463871533087097832143310616650750836727883467574943205234124279264185234168457469978071068936557397216769703<131>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=131367667
Step 1 took 3576ms
Step 2 took 2408ms
********** Factor found in step 2: 389330198417547379466454031507
Found probable prime factor of 30 digits: 389330198417547379466454031507
Probable prime cofactor 9810415294333226678867446387153308709783214331061665075083672788346757494320523412427926418523416845746997807106
8936557397216769703 has 131 digits

GMP-ECM 6.2

3739103954206480253121330246617839880541198396339885242643859789401984081892379619767610414324841038878230184662221408617259356604649431204388594438808392711<157>

8058660738462126113422386720531955402211<40>
463985775745664640224579601807109215042076773862770271421741701943689628852928554774870950739756701332516741379535501<117>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2224556812
Step 1 took 12712ms
Step 2 took 9472ms
********** Factor found in step 2: 8058660738462126113422386720531955402211
Found probable prime factor of 40 digits: 8058660738462126113422386720531955402211
Probable prime cofactor

21951405651135759241954713056672719904448361829003909026221220230325022321202620598231308348575302685355413795673784385865832021872243126207601553173845167023090811187<167>

13558226236017266521739514478577753143753775524843745124453095077697682034394951<80>
1619047010207139895932599155351891757185309116290078073562370792113428126307295263098037<88>

Number: n
N=21951405651135759241954713056672719904448361829003909026221220230325022321202620598231308348575302685355413795673784385865832021872243126207601553173845167023090811187  ( 167 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Mar 28 12:18:36 2021  p80 factor: 13558226236017266521739514478577753143753775524843745124453095077697682034394951
Sun Mar 28 12:18:36 2021  p88 factor: 1619047010207139895932599155351891757185309116290078073562370792113428126307295263098037
Sun Mar 28 12:18:36 2021  elapsed time 01:04:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 58x10^196+41 = 64(195)9
#
n: 21951405651135759241954713056672719904448361829003909026221220230325022321202620598231308348575302685355413795673784385865832021872243126207601553173845167023090811187
m: 1000000000000000000000000000000000000000
deg: 5
c5: 580
c0: 41
skew: 0.59
# Murphy_E = 1.975e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3778439 hash collisions in 31266969 relations (28616668 unique)
Msieve: matrix is 1641233 x 1641458 (574.6 MB)

Sieving start time : 2021/03/28 04:39:07
Sieving end time  : 2021/03/28 11:13:54

Total sieving time: 6hrs 34min 47secs.

Total relation processing time: 0hrs 53min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

56327143341721700708460059373896312423833787251938086482287041958999601229682782893068392361626644014491210759730748922669830202485500405356193332603393681<155>

5087832120754440156018956894208167<34>

11070951636149765536840257253607829444595086747622399008620240727882623901740891490497776510088174513384413377746808577543<122>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3097237382
Step 1 took 7492ms
********** Factor found in step 1: 5087832120754440156018956894208167
Found probable prime factor of 34 digits: 5087832120754440156018956894208167
Composite cofactor has 122 digits

GMP-ECM 6.2

11070951636149765536840257253607829444595086747622399008620240727882623901740891490497776510088174513384413377746808577543<122>

64694662489083286414695388018448613862933185715531862603<56>
171126198208668315251298457671101379137801125215383625298494188981<66>

N=11070951636149765536840257253607829444595086747622399008620240727882623901740891490497776510088174513384413377746808577543
  ( 122 digits)
Divisors found:
 r1=64694662489083286414695388018448613862933185715531862603 (pp56)
 r2=171126198208668315251298457671101379137801125215383625298494188981 (pp66)
Version: Msieve-1.40
Total time: 55.80 hours.
Scaled time: 52.29 units (timescale=0.937).
Factorization parameters were as follows:
# Murphy_E = 2.621397e-10, selected by Jeff Gilchrist
n: 11070951636149765536840257253607829444595086747622399008620240727882623901740891490497776510088174513384413377746808577543
Y0: -274680933477785405343845
Y1: 8570518787149
c0: 1350928898463077874422589647232
c1: 19642762067379607582761780
c2: -384503260141907345357
c3: -122711510581868
c4: 4766478592
c5: 7080
skew: 245402.32
type: gnfs
# selected mechanically
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 200000Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2800000, 4800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 695403 x 695633
Total sieving time: 54.46 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.81 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
gnfs,121,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5600000,5600000,27,27,52,52,2.5,2.5,100000
total time: 55.80 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

488341356971629952993341561195711816833652530291174405366443360323185651974540425965927896867331201416466099503080371939822414128082983111165628843116658303572638226702936179<174>

46342485751983771069537532474993840230131<41>

10537659968978372033188972709039121126201694884690000498014163264501251444184754542790392675953927739278946090671380896581710241915009<134>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1418089889
Step 1 took 15727ms
Step 2 took 11483ms
********** Factor found in step 2: 46342485751983771069537532474993840230131
Found probable prime factor of 41 digits: 46342485751983771069537532474993840230131
Composite cofactor

10537659968978372033188972709039121126201694884690000498014163264501251444184754542790392675953927739278946090671380896581710241915009<134>

219916240393253734227457769475377954998217<42>
47916697512357212930736549721870137102306729320095789863729290637946416301370656758893321977<92>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3273406473
Step 1 took 32721ms
Step 2 took 20585ms
********** Factor found in step 2: 219916240393253734227457769475377954998217
Found probable prime factor of 42 digits: 219916240393253734227457769475377954998217
Probable prime cofactor

11554613916214894281021574521910233331634605437866495372633478923589449330504805570992274605527460343745462667293341535069898598599392844614255642097741759262778911748212958390087976900537<188>

5650964545458426982670266445629<31>

2044715344303676142656252551338105068744214943798559587977962084840810509568832818233081986691194879834950220038073088465939574817392957731992139464727351853<157>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1995643831
Step 1 took 69152ms
********** Factor found in step 1: 5650964545458426982670266445629
Found probable prime factor of 31 digits: 5650964545458426982670266445629
Composite cofactor 2044715344303676142656252551338105068744214943798559587977962084840810509568832818233081986691194879834950220038073088465939574817392957731992139464727351853 has 157 digits

2044715344303676142656252551338105068744214943798559587977962084840810509568832818233081986691194879834950220038073088465939574817392957731992139464727351853<157>

27219170585757105512947248814925881<35>

75120413308023730275830956545537381685125032888982172250025365452287467499914919323790039327292411808914266403079271723413<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2902207052
Step 1 took 59979ms
********** Factor found in step 1: 27219170585757105512947248814925881
Found probable prime factor of 35 digits: 27219170585757105512947248814925881
Composite cofactor 75120413308023730275830956545537381685125032888982172250025365452287467499914919323790039327292411808914266403079271723413 has 122 digits

75120413308023730275830956545537381685125032888982172250025365452287467499914919323790039327292411808914266403079271723413<122>

7943262187933478535419517396908097162695147404485449340727<58>
9457123727092669397465946163275476306281234064022307482117884819<64>

N = 75120413308023730275830956545537381685125032888982172250025365452287467499914919323790039327292411808914266403079271723413 (122 digits)
Divisors found:
r1=7943262187933478535419517396908097162695147404485449340727 (pp58)
r2=9457123727092669397465946163275476306281234064022307482117884819 (pp64)
Version: Msieve v. 1.48
Total time: 17.36 hours.
Factorization parameters were as follows:
n: 75120413308023730275830956545537381685125032888982172250025365452287467499914919323790039327292411808914266403079271723413
Y0: -839645578471586752336261
Y1: 8512056743933
c0: 87577212995820856182037231302804
c1: 5050172566098431533257165984
c2: -1198816093072092048997
c3: -3170811553244360
c4: 222312222
c5: 180
skew: 2136410.57
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10964567
Relations: 1402700 relations
Pruned matrix : 806342 x 806571
Polynomial selection time: 0.00 hours.
Total sieving time: 16.48 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.73 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,121,5,65,2000,1e-05,0.28,250,20,50000,3600,4700000,4700000,27,27,53,53,2.5,2.5,100000
total time: 17.36 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

48924028496670601741232762202332667227551051610954656932841977655236446471342937749093518414423818370964445592668857055279016483<128>

9617476601959055323120190872597<31>

5086992204036649549554802325517951171974055226822069754918148594115667379490630513181229558391639<97>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1094701982
Step 1 took 2496ms
Step 2 took 2004ms
********** Factor found in step 2: 9617476601959055323120190872597
Found probable prime factor of 31 digits: 9617476601959055323120190872597
Composite cofactor has 97 digits

GMP-ECM 6.2.1

5086992204036649549554802325517951171974055226822069754918148594115667379490630513181229558391639<97>

105112228249013874195504102675707517143167052699<48>
48395817392296351722664742435602568363350373923061<50>

Number: 64449_200
N=5086992204036649549554802325517951171974055226822069754918148594115667379490630513181229558391639
  ( 97 digits)
Divisors found:
 r1=105112228249013874195504102675707517143167052699
 r2=48395817392296351722664742435602568363350373923061
Version: 
Total time: 1.81 hours.
Scaled time: 4.32 units (timescale=2.386).
Factorization parameters were as follows:
name: 64449_200
n: 5086992204036649549554802325517951171974055226822069754918148594115667379490630513181229558391639
skew: 4251.50
# norm 3.00e+13
c5: 88920
c4: -552671486
c3: -4344467514261
c2: 3144978948596562
c1: 41332925549711484436
c0: 1886464308075611431704
# alpha -5.85
Y1: 3492390701
Y0: -2246431410188375885
# Murphy_E 4.64e-09
# M 1588946694778192353638204469934463977067134430662642725994726068441844085253881674329972420828066
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [500000, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3998077
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145180 x 145428
Polynomial selection time: 0.11 hours.
Total sieving time: 1.49 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000
total time: 1.81 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

395504105016642297641499759088857240954772520449866545934106026696636078252213813239512173431585239357885925072113702296466903688751742370927988778233070299089863495353842286705649<180>

357145109170453881607548906674686103714802911282812483<54>
142856306140712062470803566552766499794975517874220220671251<60>
7751876980637875829236182264279693753823783025045584598986428724153<67>

Number: n
N=395504105016642297641499759088857240954772520449866545934106026696636078252213813239512173431585239357885925072113702296466903688751742370927988778233070299089863495353842286705649  ( 180 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Oct  1 15:57:55 2021  found factor: 357145109170453881607548906674686103714802911282812483
Fri Oct  1 16:00:36 2021  found factor: 357145109170453881607548906674686103714802911282812483
Fri Oct  1 16:03:15 2021  p54 factor: 357145109170453881607548906674686103714802911282812483
Fri Oct  1 16:03:15 2021  p60 factor: 142856306140712062470803566552766499794975517874220220671251
Fri Oct  1 16:03:15 2021  p67 factor: 7751876980637875829236182264279693753823783025045584598986428724153
Fri Oct  1 16:03:15 2021  elapsed time 02:00:52 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 58x10^201+41 = 64(200)9
#
n: 395504105016642297641499759088857240954772520449866545934106026696636078252213813239512173431585239357885925072113702296466903688751742370927988778233070299089863495353842286705649
m: 10000000000000000000000000000000000000000
deg: 5
c5: 580
c0: 41
skew: 0.59
# Murphy_E = 1.222e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9356871 hash collisions in 64891244 relations (58144427 unique)
Msieve: matrix is 2215408 x 2215638 (764.6 MB)

Sieving start time : 2021/09/30 22:14:18
Sieving end time  : 2021/10/01 13:58:36

Total sieving time: 15hrs 44min 18secs.

Total relation processing time: 1hrs 36min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 0sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.154026] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892)
[    0.150212] smpboot: Total of 16 processors activated (102391.13 BogoMIPS)

1139544748138857102474038247634190825371168788948810745510541224061976736307923972778100097593693859622438827275972069463664909022315858594226943700970109337457<160>

10758490894998424597122632392103519<35>

105920501235784516591948774598989455724483077437293550861735513549187761354665014608013963231834502535626014183566708241325103<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2379997530
Step 1 took 59719ms
********** Factor found in step 1: 10758490894998424597122632392103519
Found probable prime factor of 35 digits: 10758490894998424597122632392103519
Composite cofactor 105920501235784516591948774598989455724483077437293550861735513549187761354665014608013963231834502535626014183566708241325103 has 126 digits

105920501235784516591948774598989455724483077437293550861735513549187761354665014608013963231834502535626014183566708241325103<126>

102022688786730166952569214122628160780244249886233308446135509<63>
1038205349176812993821769046659176498085349043311374456423694067<64>

Number: 64449_202
N = 105920501235784516591948774598989455724483077437293550861735513549187761354665014608013963231834502535626014183566708241325103 (126 digits)
Divisors found:
r1=102022688786730166952569214122628160780244249886233308446135509 (pp63)
r2=1038205349176812993821769046659176498085349043311374456423694067 (pp64)
Version: Msieve v. 1.48
Total time: 138.58 hours.
Factorization parameters were as follows:
# Murphy_E = 1.558e-10, selected by Erik Branger
n: 105920501235784516591948774598989455724483077437293550861735513549187761354665014608013963231834502535626014183566708241325103
Y0: -1729754215804017137342153
Y1: 34394541850111
c0: 6227688719173112469993183032988
c1: -190481359327301351689629288
c2: -5562315960859717599
c3: 1329077628038114
c4: 1534059622
c5: 6840
skew: 347637.74
type: gnfs
# selected mechanically
rlim: 7200000
alim: 7200000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [3600000, 6900000)
Relations: 11467511
Relations in full relation-set: 1588832 relations
Pruned matrix : 960111 x 960337
Polynomial selection time: 0.00 hours.
Total sieving time: 133.97 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.46 hours.
time per square root: 0.94 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,7200000,7200000,27,27,53,53,2.5,2.5,100000
total time: 138.58 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

10864827054561886571498697942161943434920182893728922220627078378339364767303277433979615392572374827581847234195603062152007855747435894371391703469611168178824664711444254784590779<182>

51152262708347907152704942961133901<35>
212401690156098939939913557892512052200649177854946363470388068645251151818923654748302693711054147745443858651608553980275034876545681804713872679<147>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2588790684
Step 1 took 4076ms
Step 2 took 2652ms
********** Factor found in step 2: 51152262708347907152704942961133901
Found probable prime factor of 35 digits: 51152262708347907152704942961133901
Probable prime cofactor has 147 digits

GMP-ECM 6.2

22720588015340054252871492648829772851205315141306249997600760619365156976835623683873617023858401341758395607475812098693276242174454872635485478912191286023682757651976132488340703<182>

6436607968562337938662619378254506737572421247076881486310084123580441164330466292966780472103411048082962626423626087988604627062623704923370999600091361360582175596339<169>

3132057277070562897274046441<28>

2055073518509388995789245327160359943335629745550207678847182720454306790791146774505357666421648240265329189623448417578694684732767456827579<142>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=643183298
Step 1 took 8225ms
Step 2 took 5860ms
********** Factor found in step 2: 3132057277070562897274046441
Found probable prime factor of 28 digits: 3132057277070562897274046441
Composite cofactor

2055073518509388995789245327160359943335629745550207678847182720454306790791146774505357666421648240265329189623448417578694684732767456827579<142>

21421571804778302630006013629125269795251292310303<50>
95934767870347573755785142729572332268249931428740967961954262681926763212878817303177009893<92>

Number: 64449_208
N = 2055073518509388995789245327160359943335629745550207678847182720454306790791146774505357666421648240265329189623448417578694684732767456827579 (142 digits)
Divisors found:
r1=21421571804778302630006013629125269795251292310303 (pp50)
r2=95934767870347573755785142729572332268249931428740967961954262681926763212878817303177009893 (pp92)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 216.76 hours.
Factorization parameters were as follows:
# Murphy_E = 1.761e-11, selected by Erik Branger
# expecting poly E from 1.71e-011 to > 1.97e-011
n: 2055073518509388995789245327160359943335629745550207678847182720454306790791146774505357666421648240265329189623448417578694684732767456827579
Y0: -4910199549015852456620528225
Y1: 971930164969043
c0: 18350479306054839864988667222977728
c1: -490676923346724517840241842168
c2: 181317317215394330633006
c3: 150425309954518983
c4: -7067389074
c5: 720
skew: 3467747.28
type: gnfs
# selected mechanically
rlim: 19800000
alim: 19800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19800000/19800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23100112
Relations: 4142450 relations
Pruned matrix : 2547641 x 2547869
Polynomial selection time: 0.00 hours.
Total sieving time: 213.56 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.78 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,141,5,65,2000,1e-05,0.28,250,20,50000,3600,19800000,19800000,28,28,56,56,2.6,2.6,100000
total time: 216.76 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz

GGNFS, Msieve

68157929383096179316784775247236676629087690037286915363215349941160658542177505071837684403083253171801310955570197031654335340591184218239968580309<149>

1207904934424852183359915664504177194979<40>
130849412552541788958179911401122072560357<42>
431232868798450405297342736732916916673853707534946986280163778512603<69>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1570997850
Step 1 took 38259ms
Step 2 took 24043ms
********** Factor found in step 2: 1207904934424852183359915664504177194979
Found probable prime factor of 40 digits: 1207904934424852183359915664504177194979

Divisors found:
 r1=130849412552541788958179911401122072560357 (pp42)
 r2=431232868798450405297342736732916916673853707534946986280163778512603 (pp69)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 8.55 hours.
Scaled time: 20.51 units (timescale=2.400).

1168000419251696875355165019852140436320984358997358908292721714302052044186749772966339656172206825229699046581557148238735743609445021856173555929903452825892658566015657953<175>

528957215569217243640429476779234234110991639740008408595737152039631663378923973344204316108480004961253883959554836903338540825921092351369862389044384070362253613096980657493818952537033845053839636588153<207>

1919916446287612363469946367003053874757<40>
275510539321655983286081192997901778863442068588856300713633966797746007110526902707036733075908229078706949709291878312590166472569046916797643846743414849048779838629<168>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=820401
Step 1 took 18266ms
Step 2 took 7426ms
********** Factor found in step 2: 1919916446287612363469946367003053874757
Found probable prime factor of 40 digits: 1919916446287612363469946367003053874757
Probable prime cofactor

453398286241772928646627617487086888984455550549638828503432099205278803326358469537985485386260010043412787777288249538579627413960218870083302755326229521564828912933<168>

4404017035149907891916406418371157<34>
102951074581013683587093373269423739639159124634606462144760111260223549137719028690970878609481400266247649770720261673572017945108369<135>

Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=374709485
Step 1 took 5326ms
Step 2 took 2627ms
********** Factor found in step 2: 4404017035149907891916406418371157
Found probable prime factor of 34 digits: 4404017035149907891916406418371157
Probable prime cofactor has 135 digits

68940612629509680491652213594102484326206111352575606845968767033122989224455062463648016123507174089116717644624380869764967390038287583694988358242414661408005107462909394720213373002807835855168462692649<206>

2090217725017952095806020826513146256283745527<46>
126386860475681353390583581170010380725508543195412154639532989<63>
260964652435672588102576658861325474926826492938811692514514809323524636163499902598901981358228683<99>

#
# N = 58x10^213+41 = 64(212)9
#
n: 68940612629509680491652213594102484326206111352575606845968767033122989224455062463648016123507174089116717644624380869764967390038287583694988358242414661408005107462909394720213373002807835855168462692649
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 58000
c0: 41
skew: 0.23
# Murphy_E = 2.725e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 68940612629509680491652213594102484326206111352575606845968767033122989224455062463648016123507174089116717644624380869764967390038287583694988358242414661408005107462909394720213373002807835855168462692649 (206 digits)
Using B1=60680000, B2=388130449990, polynomial Dickson(30), sigma=1:2076299869
Step 1 took 939906ms
Step 2 took 264891ms
********** Factor found in step 2: 2090217725017952095806020826513146256283745527
Found probable prime factor of 46 digits: 2090217725017952095806020826513146256283745527
Composite cofactor 32982503116472029456062012503531541608516165311985292897714996546825291256249602354395715977247361009342906114894353287905078145173412486502833825663451384523487 has 161 digits



Number: n
N=32982503116472029456062012503531541608516165311985292897714996546825291256249602354395715977247361009342906114894353287905078145173412486502833825663451384523487
  ( 161 digits)
SNFS difficulty: 214 digits.
Divisors found:

Wed Jan 22 17:28:11 2020  p63 factor: 126386860475681353390583581170010380725508543195412154639532989
Wed Jan 22 17:28:11 2020  p99 factor: 260964652435672588102576658861325474926826492938811692514514809323524636163499902598901981358228683
Wed Jan 22 17:28:11 2020  elapsed time 06:25:11 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 58x10^213+41 = 64(212)9
#
# n: 68940612629509680491652213594102484326206111352575606845968767033122989224455062463648016123507174089116717644624380869764967390038287583694988358242414661408005107462909394720213373002807835855168462692649
# Found probable prime factor of 46 digits: 2090217725017952095806020826513146256283745527
#

n: 32982503116472029456062012503531541608516165311985292897714996546825291256249602354395715977247361009342906114894353287905078145173412486502833825663451384523487

m: 1000000000000000000000000000000000000000000
deg: 5
c5: 58000
c0: 41
skew: 0.23
# Murphy_E = 2.725e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 82300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10380185 hash collisions in 61511115 relations (52931025 unique)
Msieve: matrix is 3812184 x 3812409 (1335.5 MB)

Sieving start time: 2020/01/20 19:48:06
Sieving end time  : 2020/01/22 11:01:51

Total sieving time: 39hrs 13min 45secs.

Total relation processing time: 5hrs 58min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 22sec.

Prototype def-par.txt line would be:
snfs,214,5,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved)
[    0.184567] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148)
[    0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)

118813231312965352634180767957900551643292421326807916762165026813011468810034348608610637169373990965236674000693<114>

1143305868409921835771620009064183331312533562679<49>
103920774480242550442705522341415056016280488008948598158466202867<66>

N=118813231312965352634180767957900551643292421326807916762165026813011468810034348608610637169373990965236674000693
  ( 114 digits)
Divisors found:
 r1=1143305868409921835771620009064183331312533562679 (pp49)
 r2=103920774480242550442705522341415056016280488008948598158466202867 (pp66)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 27.77 hours.
Scaled time: 24.74 units (timescale=0.891).
Factorization parameters were as follows:
n: 118813231312965352634180767957900551643292421326807916762165026813011468810034348608610637169373990965236674000693
skew: 45957.27
c0: -34249580758779867122417120
c1: 61983261189258578051164
c2: 1272444972911562715
c3: -89388096519598
c4: -499645112
c5: 10032
Y0: -6526727637861048737781
Y1: 49893749093
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 120000
type: gnfs
Factor base limits: 4240000/4240000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2120000, 2960001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 471846 x 472076
Total sieving time: 26.88 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4240000,4240000,27,27,54,54,2.5,2.5,100000
total time: 27.77 hours.
 --------- CPU info (if available) ----------

204565697990823818190945624986718489322785954587883286676485231267054355704778122577850976453779675288652598540432806036658405554609214489939665046817864962600224163711190580911399253881968734651271<198>

564955241907990220429950420307218764306517440557942004422235859072888966813749841715126189571705482988028793236122069294682602300731519632194656302660159940777105675852059651481059388484653672696102782891596777807<213>

60789686954950200574666311267722943252647451031905007201191300002636006066291074463<83>
9293603408858893942613013146277103291541296352863289425380484907239193317788926005378257465291681856389673810545733320742215966289<130>

Number: n
N=564955241907990220429950420307218764306517440557942004422235859072888966813749841715126189571705482988028793236122069294682602300731519632194656302660159940777105675852059651481059388484653672696102782891596777807
  ( 213 digits)
SNFS difficulty: 217 digits.
Divisors found:

Thu Oct 26 09:03:23 2017  p83 factor: 60789686954950200574666311267722943252647451031905007201191300002636006066291074463
Thu Oct 26 09:03:23 2017  p130 factor: 9293603408858893942613013146277103291541296352863289425380484907239193317788926005378257465291681856389673810545733320742215966289
Thu Oct 26 09:03:23 2017  elapsed time 08:36:44 (Msieve 1.53 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.112).
Factorization parameters were as follows:
#
# 58x10^216+41 64(215)9
#
n: 564955241907990220429950420307218764306517440557942004422235859072888966813749841715126189571705482988028793236122069294682602300731519632194656302660159940777105675852059651481059388484653672696102782891596777807
m: 1000000000000000000000000000000000000
deg: 6
c6: 58
c0: 41
skew: 0.94
# Murphy_E = 2.178e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 74200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13321147 hash collisions in 66625198 relations (54989845 unique)
Msieve: matrix is 4398525 x 4398750 (1250.8 MB)

Sieving start time: 2017/10/24 04:36:09
Sieving end time  : 2017/10/26 00:25:21

Total sieving time: 43hrs 49min 12secs.

Total relation processing time: 7hrs 54min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 22min 37sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297376K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406084K reserved, 0K cma-reserved)
[    0.100625] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.61 BogoMIPS (lpj=11977224)
[    0.098232] smpboot: Total of 16 processors activated (95817.79 BogoMIPS)

124976085830280788157933964662560742967844822991029829388490328028989273444005622145839152069649719557974867977663817151698797699301431144999011584985098217663092990897746287636459960531<186>

633441836286441647749090954498232943129840864899133209279725685153718457524974143815926596385150508547255226969905079825547113138932359112174427287879275002387321066481357909790300397637623443<192>

36730492015526456272199464582455844479463<41>

17245667060998735117449105698621025713120086118411436167298678958096149070732318492492026959823785944447939779588326301129705178352223620603094886457461<152>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=378599664
Step 1 took 15013ms
Step 2 took 6374ms
********** Factor found in step 2: 36730492015526456272199464582455844479463
Found probable prime factor of 41 digits: 36730492015526456272199464582455844479463
Composite cofactor 

17245667060998735117449105698621025713120086118411436167298678958096149070732318492492026959823785944447939779588326301129705178352223620603094886457461<152>

125619748103343320165578364784470341318273506866810869<54>
137284681122042056336751936542723154398875751006489046570101300056348051048185217234305081662717569<99>

Number: 64449_220
N = 17245667060998735117449105698621025713120086118411436167298678958096149070732318492492026959823785944447939779588326301129705178352223620603094886457461 (152 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=125619748103343320165578364784470341318273506866810869 (pp54)
r2=137284681122042056336751936542723154398875751006489046570101300056348051048185217234305081662717569 (pp99)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 78.25 hours.
Factorization parameters were as follows:
n: 17245667060998735117449105698621025713120086118411436167298678958096149070732318492492026959823785944447939779588326301129705178352223620603094886457461
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 58
c0: 41
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 25051115
Relations: 8760810 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 42.85 hours.
Total relation processing time: 0.23 hours.
Pruned matrix : 7350497 x 7350722
Matrix solve time: 34.82 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 78.25 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

907648707633414468657315518854326005625201125143594788639703932610262734299545537419432707275834972866883140603315838947648210160374229812757494431016976062824604943602231353111348033287909<189>

642062490501907444097137649529632916995105591205722491526681144194402199<72>
1413645433365676450491849071562377632616162612160842096112673212843725202120596717664098068725210572971280120072152291<118>

Number: 64449_221
N = 907648707633414468657315518854326005625201125143594788639703932610262734299545537419432707275834972866883140603315838947648210160374229812757494431016976062824604943602231353111348033287909 (189 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=642062490501907444097137649529632916995105591205722491526681144194402199 (pp72)
r2=1413645433365676450491849071562377632616162612160842096112673212843725202120596717664098068725210572971280120072152291 (pp118)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 46.91 hours.
Factorization parameters were as follows:
n: 907648707633414468657315518854326005625201125143594788639703932610262734299545537419432707275834972866883140603315838947648210160374229812757494431016976062824604943602231353111348033287909
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 580
c0: 41
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: 8729546 relations
Pruned matrix : 7488165 x 7488390
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 31.81 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 14.29 hours.
time per square root: 0.49 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: 46.91 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

5804085495780479879787382338428019482914023180917047509742107469447744267189674812100237357075645546900463236071870989989853858130738226637730298357013501803919779132531388844607719373667124288786877082778567833898281<217>

2215525265283171105245251364240933679814610248941823913<55>
38939927910282465310273188683660617820531532033466338562583352627647<68>
67276277138457437109104875615591111241980322182223921171305697972142316457185720934200610247871<95>

Number: n
N=5804085495780479879787382338428019482914023180917047509742107469447744267189674812100237357075645546900463236071870989989853858130738226637730298357013501803919779132531388844607719373667124288786877082778567833898281
  ( 217 digits)
SNFS difficulty: 223 digits.
Divisors found:

Wed Jun 26 06:08:43 2019  found factor: 38939927910282465310273188683660617820531532033466338562583352627647
Wed Jun 26 06:19:19 2019  found factor: 38939927910282465310273188683660617820531532033466338562583352627647
Wed Jun 26 06:40:36 2019  found factor: 38939927910282465310273188683660617820531532033466338562583352627647
Wed Jun 26 07:01:31 2019  p55 factor: 2215525265283171105245251364240933679814610248941823913
Wed Jun 26 07:01:31 2019  p68 factor: 38939927910282465310273188683660617820531532033466338562583352627647
Wed Jun 26 07:01:31 2019  p95 factor: 67276277138457437109104875615591111241980322182223921171305697972142316457185720934200610247871
Wed Jun 26 07:01:31 2019  elapsed time 13:46:23 (Msieve 1.54 - dependency 7)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# N = 58x10^222+41 = 64(221)9
#
n: 5804085495780479879787382338428019482914023180917047509742107469447744267189674812100237357075645546900463236071870989989853858130738226637730298357013501803919779132531388844607719373667124288786877082778567833898281
m: 10000000000000000000000000000000000000
deg: 6
c6: 58
c0: 41
skew: 0.94
# Murphy_E = 1.363e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 131000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14150331 hash collisions in 70247848 relations (56623555 unique)
Msieve: matrix is 5216684 x 5216909 (1815.1 MB)

Sieving start time: 2019/06/22 22:43:10
Sieving end time  : 2019/06/25 17:11:49

Total sieving time: 66hrs 28min 39secs.

Total relation processing time: 12hrs 9min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 1hrs 13min 58sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284120K/16703460K available (12300K kernel code, 2473K rwdata, 4272K rodata, 2408K init, 2416K bss, 419340K reserved, 0K cma-reserved)
[    0.080565] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.83 BogoMIPS (lpj=11977660)
[    0.078217] smpboot: Total of 16 processors activated (95821.28 BogoMIPS)

448345773295022826276806376072564544996477555903377376558585970362079360924641881554090226354582206409159208942210440306515536531503162638260899826000371067144838763645649676415838328598033956984279608987036999<210>

5394199093022999882541074266698800543<37>

83116282058429236688949127217146520138183425762890577438081194725926129059395563284404548804093933240747435644305445890154625054698061240308815951960889363725690823209205593<173>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1823261142
Step 1 took 59541ms
Step 2 took 28092ms
********** Factor found in step 2: 5394199093022999882541074266698800543
Found probable prime factor of 37 digits: 5394199093022999882541074266698800543
Composite cofactor

87771211484730861254151028388766817737439856103124140706736564983804761794513395304764366788335657453870126860031688936190308313570174945153071834438480918824331605712468746496910636545440965129910178709<203>

33439703265649272488978952719077<32>

2624760476714316217376911039628701659444929823951383260904944285343878870790827725216801285005839162587447151353477978556022004801553990788517234433652060193162587375807217<172>

Using B1=1000000, B2=1000000-1045563762, polynomial Dickson(6), sigma=285258569
Step 1 took 7431ms
Step 2 took 3255ms
********** Factor found in step 2: 33439703265649272488978952719077
Found probable prime factor of 32 digits: 33439703265649272488978952719077
Composite cofactor has 172 digits

385925047497077244808801535194928373170582687896419336301897917468716363491867105089583619891134006572488416681093081783151172515946118339669182772712082568955966991586266433777656540772007918060085199080915259<210>

28782641104751874390389756311703893936153210769633954160935980239075631871733875529348785870921251658953353540430448845225192836424720599835776934270415348328539498235957964772330885656374043298386810270347260853150727<218>

282354284414758950115793497588666379<36>

101938035629281125962738236936926702241066108906983716253493400027522556687849501520815281422319299448692180113025984659183505486837968566078472832379420227466724400374791060283428213<183>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3925901410
Step 1 took 13917ms
Step 2 took 7917ms
********** Factor found in step 2: 282354284414758950115793497588666379
Found probable prime factor of 36 digits: 282354284414758950115793497588666379
Composite cofactor 

191758053560192084971947186844723542498985617171422270974009502457868158385706392933436447232777935235440124724228019479932174249404756296134032174254552468182224016248415272639169026700229805030154763438881829724459477567<222>

211162548640321372963132768870029787<36>

908106360691916699627744702283486633070293032425861615341795121553210287137173277865115914444120705862671296096209830925282531181429429810297717239616790323959756345220686370580982904941<186>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1267930285
Step 1 took 18163ms
Step 2 took 6544ms
********** Factor found in step 2: 211162548640321372963132768870029787
Found probable prime factor of 36 digits: 211162548640321372963132768870029787
Composite cofactor 

1452470606532082686770091358526788962280355274274554607974568151313337961884005320462439800850411549016533221725499997509525161872766615315027324921489275927858347899560259509119919167<184>

7087755717562776523303151771385155502583611141929080461723910038297098250463534046032027317715125489965437509404011513822050759389071565069096155539518377107544769988881692146085829353070937127<193>

1255292651289870432938007575347127047<37>
5646297467192040330037285797084137089339927579739579897022691984146514612664759619682756350818820584292284740868753060362730453076162375725363313467937500641<157>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3336923060
Step 1 took 66640ms
Step 2 took 20034ms
********** Factor found in step 2: 1255292651289870432938007575347127047
Found probable prime factor of 37 digits: 1255292651289870432938007575347127047
Probable prime cofactor

21481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481483<236>

18175766266215685935258089629842489994568093351123<50>
1181874874866228525351896233120987826680401721958984828142896723576903189822443256938564294983122654366016158526547664097204326275035137468161266644382994765684600088945007057128629177321<187>

Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=1845775369
Step 1 took 328017ms
Step 2 took 174811ms
********** Factor found in step 2: 18175766266215685935258089629842489994568093351123
Found probable prime factor of 50 digits: 18175766266215685935258089629842489994568093351123
Probable prime cofactor 

215583344133999208599281493227595018156398597748444236863752605992628279842143317535020208295452737280796777624128342430458741728297826896668487504611012077648351088087154346640725588505547372016100161939105227165777<216>

682314311277450531287514161760423820806848538531458368112224586152974181874342227909534582353727044711445170287432479314367990439669361684591445896400205240055425554262766042229079817737381095934665281766109474437361248172483599<228>