70529299477147167387102422977891232579016595346179756964150563014637483698139997507<83>

49995659663592396558234966635096208038207<41>
1410708448527736521757464750138001672539901<43>

12/28/09 08:10:54 v1.14 @ REPGMAIL, Total factoring time = 12858.4594 seconds
12/28/09 09:39:13 v1.14 @ REPGMAIL, starting SIQS on c83: 70529299477147167387102422977891232579016595346179756964150563014637483698139997507
12/28/09 09:39:13 v1.14 @ REPGMAIL, random seeds: 0, 4096248656
12/28/09 09:39:14 v1.14 @ REPGMAIL, ==== sieve params ====
12/28/09 09:39:14 v1.14 @ REPGMAIL, n = 84 digits, 277 bits
12/28/09 09:39:14 v1.14 @ REPGMAIL, factor base: 51304 primes (max prime = 1333721)
12/28/09 09:39:14 v1.14 @ REPGMAIL, single large prime cutoff: 126703495 (95 * pmax)
12/28/09 09:39:14 v1.14 @ REPGMAIL, double large prime range from 42 to 49 bits
12/28/09 09:39:14 v1.14 @ REPGMAIL, double large prime cutoff: 384609024544649
12/28/09 09:39:14 v1.14 @ REPGMAIL, allocating 12 large prime slices of factor base
12/28/09 09:39:14 v1.14 @ REPGMAIL, buckets hold 1024 elements
12/28/09 09:39:14 v1.14 @ REPGMAIL, sieve interval: 14 blocks of size 32768
12/28/09 09:39:14 v1.14 @ REPGMAIL, polynomial A has ~ 10 factors
12/28/09 09:39:14 v1.14 @ REPGMAIL, using multiplier of 2
12/28/09 09:39:14 v1.14 @ REPGMAIL, using small prime variation correction of 21 bits
12/28/09 09:39:14 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
12/28/09 09:39:14 v1.14 @ REPGMAIL, trial factoring cutoff at 92 bits
12/28/09 09:39:14 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
12/28/09 09:44:16 v1.14 @ REPGMAIL, trial division touched 7632220 sieve locations out of 3044359012352
12/28/09 09:44:16 v1.14 @ REPGMAIL, 52244 relations found: 22277 full + 29967 from 319265 partial, using 3318088 polys (423 A polys)
12/28/09 09:44:16 v1.14 @ REPGMAIL, on average, sieving found 0.10 rels/poly and 1128.44 rels/sec
12/28/09 09:44:16 v1.14 @ REPGMAIL, trial division touched 7632220 sieve locations out of 3044359012352
12/28/09 09:44:16 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
12/28/09 09:44:16 v1.14 @ REPGMAIL, begin with 341542 relations
12/28/09 09:44:16 v1.14 @ REPGMAIL, reduce to 87389 relations in 6 passes
12/28/09 09:44:17 v1.14 @ REPGMAIL, failed to read relation 25434
12/28/09 09:44:19 v1.14 @ REPGMAIL, failed to read relation 73087
12/28/09 09:44:20 v1.14 @ REPGMAIL, recovered 87387 relations
12/28/09 09:44:20 v1.14 @ REPGMAIL, recovered 62394 polynomials
12/28/09 09:44:20 v1.14 @ REPGMAIL, attempting to build 52242 cycles
12/28/09 09:44:20 v1.14 @ REPGMAIL, found 52242 cycles in 3 passes
12/28/09 09:44:20 v1.14 @ REPGMAIL, distribution of cycle lengths:
12/28/09 09:44:20 v1.14 @ REPGMAIL,    length 1 : 22277
12/28/09 09:44:20 v1.14 @ REPGMAIL,    length 2 : 19635
12/28/09 09:44:20 v1.14 @ REPGMAIL,    length 3 : 6932
12/28/09 09:44:20 v1.14 @ REPGMAIL,    length 4 : 2365
12/28/09 09:44:20 v1.14 @ REPGMAIL,    length 5 : 729
12/28/09 09:44:20 v1.14 @ REPGMAIL,    length 6 : 213
12/28/09 09:44:20 v1.14 @ REPGMAIL,    length 7 : 70
12/28/09 09:44:20 v1.14 @ REPGMAIL,    length 9+: 21
12/28/09 09:44:20 v1.14 @ REPGMAIL, largest cycle: 10 relations
12/28/09 09:44:20 v1.14 @ REPGMAIL, matrix is 51304 x 52242 (8.2 MB) with weight 1934482 (37.03/col)
12/28/09 09:44:20 v1.14 @ REPGMAIL, sparse part has weight 1934482 (37.03/col)
12/28/09 09:44:20 v1.14 @ REPGMAIL, filtering completed in 4 passes
12/28/09 09:44:20 v1.14 @ REPGMAIL, matrix is 39573 x 39637 (6.5 MB) with weight 1536297 (38.76/col)
12/28/09 09:44:20 v1.14 @ REPGMAIL, sparse part has weight 1536297 (38.76/col)
12/28/09 09:44:20 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
12/28/09 09:44:20 v1.14 @ REPGMAIL, matrix is 39525 x 39637 (5.3 MB) with weight 1266532 (31.95/col)
12/28/09 09:44:20 v1.14 @ REPGMAIL, sparse part has weight 1157815 (29.21/col)
12/28/09 09:44:20 v1.14 @ REPGMAIL, matrix includes 64 packed rows
12/28/09 09:44:20 v1.14 @ REPGMAIL, using block size 15854 for processor cache size 6144 kB
12/28/09 09:44:21 v1.14 @ REPGMAIL, commencing Lanczos iteration
12/28/09 09:44:21 v1.14 @ REPGMAIL, memory use: 5.2 MB
12/28/09 09:44:28 v1.14 @ REPGMAIL, lanczos halted after 626 iterations (dim = 39515)
12/28/09 09:44:28 v1.14 @ REPGMAIL, recovered 13 nontrivial dependencies
12/28/09 09:44:28 v1.14 @ REPGMAIL, prp41 = 49995659663592396558234966635096208038207
12/28/09 09:44:29 v1.14 @ REPGMAIL, prp43 = 1410708448527736521757464750138001672539901
12/28/09 09:44:29 v1.14 @ REPGMAIL, Lanczos elapsed time = 11.5620 seconds.
12/28/09 09:44:29 v1.14 @ REPGMAIL, Sqrt elapsed time = 1.3910 seconds.
12/28/09 09:44:29 v1.14 @ REPGMAIL, SIQS elapsed time = 315.6210 seconds.

YAFU v1.14

335633698367252144948511640633217049893682133702294230309051594139025689398459438397725331387283174270432429<108>

9980267138107704887730042889694227<34>
33629730920297742691078397896650160299356842863654300111169191240765092927<74>

N=335633698367252144948511640633217049893682133702294230309051594139025689398459438397725331387283174270432429
  ( 108 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=9980267138107704887730042889694227 (pp34)
 r2=33629730920297742691078397896650160299356842863654300111169191240765092927 (pp74)
Version: Msieve-1.40
Total time: 2.08 hours.
Scaled time: 4.04 units (timescale=1.946).
Factorization parameters were as follows:
n: 335633698367252144948511640633217049893682133702294230309051594139025689398459438397725331387283174270432429
m: 1000000000000000000000000
deg: 5
c5: 730000
c0: 71
skew: 0.16
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 132476 x 132702
Total sieving time: 2.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 2.08 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

368559526779316013451575478828100547541194662869607175464404481165536629204143347446877644630143<96>

9592985653134869875034205541801392613<37>
38419689146399931009836098745774037510137112400250221617811<59>

Number: 81119_126
N=368559526779316013451575478828100547541194662869607175464404481165536629204143347446877644630143
  ( 96 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=9592985653134869875034205541801392613 (pp37)
 r2=38419689146399931009836098745774037510137112400250221617811 (pp59)
Version: Msieve-1.40
Total time: 3.03 hours.
Scaled time: 6.22 units (timescale=2.051).
Factorization parameters were as follows:
name: 81119_126
n: 368559526779316013451575478828100547541194662869607175464404481165536629204143347446877644630143
m: 10000000000000000000000000
deg: 5
c5: 730
c0: 71
skew: 0.63
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 875001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 131897 x 132130
Total sieving time: 2.87 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,50000
total time: 3.03 hours.
 --------- CPU info (if available) ----------

2405295239670573674372762969750096887814483022369349641088727160884057050485573136278768592812764722950593167<109>

693784300022328341243608052747<30>
3466920827688321979998057094981445170611358248054011270569879480535484053774861<79>

N=2405295239670573674372762969750096887814483022369349641088727160884057050485573136278768592812764722950593167
  ( 109 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=693784300022328341243608052747 (pp30)
 r2=3466920827688321979998057094981445170611358248054011270569879480535484053774861 (pp79)
Version: Msieve-1.40
Total time: 2.80 hours.
Scaled time: 5.27 units (timescale=1.883).
Factorization parameters were as follows:
n: 2405295239670573674372762969750096887814483022369349641088727160884057050485573136278768592812764722950593167
m: 10000000000000000000000000
deg: 5
c5: 73000
c0: 71
skew: 0.25
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1110001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 169297 x 169523
Total sieving time: 2.66 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,129.000,5,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,50000
total time: 2.80 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1220621048060158501607330437614113390244576195966680642934302336673596181828546966253381<88>

1214461439292902885919855851535820745800129<43>
1005071885008421453825553937454888865893101189<46>

Mon Dec 28 15:54:32 2009  Msieve v. 1.42
Mon Dec 28 15:54:32 2009  random seeds: 819eb718 ca8c0dcc
Mon Dec 28 15:54:32 2009  factoring 1220621048060158501607330437614113390244576195966680642934302336673596181828546966253381 (88 digits)
Mon Dec 28 15:54:33 2009  searching for 15-digit factors
Mon Dec 28 15:54:34 2009  commencing quadratic sieve (88-digit input)
Mon Dec 28 15:54:34 2009  using multiplier of 1
Mon Dec 28 15:54:34 2009  using 32kb Intel Core sieve core
Mon Dec 28 15:54:34 2009  sieve interval: 24 blocks of size 32768
Mon Dec 28 15:54:34 2009  processing polynomials in batches of 9
Mon Dec 28 15:54:34 2009  using a sieve bound of 1505117 (57333 primes)
Mon Dec 28 15:54:34 2009  using large prime bound of 120409360 (26 bits)
Mon Dec 28 15:54:34 2009  using double large prime bound of 350904061064240 (42-49 bits)
Mon Dec 28 15:54:34 2009  using trial factoring cutoff of 49 bits
Mon Dec 28 15:54:34 2009  polynomial 'A' values have 11 factors
Mon Dec 28 16:50:09 2009  57649 relations (15202 full + 42447 combined from 614925 partial), need 57429
Mon Dec 28 16:50:10 2009  begin with 630127 relations
Mon Dec 28 16:50:10 2009  reduce to 140991 relations in 10 passes
Mon Dec 28 16:50:10 2009  attempting to read 140991 relations
Mon Dec 28 16:50:12 2009  recovered 140991 relations
Mon Dec 28 16:50:12 2009  recovered 120906 polynomials
Mon Dec 28 16:50:12 2009  attempting to build 57649 cycles
Mon Dec 28 16:50:12 2009  found 57649 cycles in 5 passes
Mon Dec 28 16:50:12 2009  distribution of cycle lengths:
Mon Dec 28 16:50:12 2009     length 1 : 15202
Mon Dec 28 16:50:12 2009     length 2 : 11094
Mon Dec 28 16:50:12 2009     length 3 : 10096
Mon Dec 28 16:50:12 2009     length 4 : 7762
Mon Dec 28 16:50:13 2009     length 5 : 5461
Mon Dec 28 16:50:13 2009     length 6 : 3523
Mon Dec 28 16:50:13 2009     length 7 : 2097
Mon Dec 28 16:50:13 2009     length 9+: 2414
Mon Dec 28 16:50:13 2009  largest cycle: 18 relations
Mon Dec 28 16:50:13 2009  matrix is 57333 x 57649 (13.4 MB) with weight 3284290 (56.97/col)
Mon Dec 28 16:50:13 2009  sparse part has weight 3284290 (56.97/col)
Mon Dec 28 16:50:14 2009  filtering completed in 3 passes
Mon Dec 28 16:50:14 2009  matrix is 53559 x 53623 (12.5 MB) with weight 3069747 (57.25/col)
Mon Dec 28 16:50:14 2009  sparse part has weight 3069747 (57.25/col)
Mon Dec 28 16:50:14 2009  saving the first 48 matrix rows for later
Mon Dec 28 16:50:14 2009  matrix is 53511 x 53623 (8.0 MB) with weight 2415449 (45.05/col)
Mon Dec 28 16:50:14 2009  sparse part has weight 1779427 (33.18/col)
Mon Dec 28 16:50:14 2009  matrix includes 64 packed rows
Mon Dec 28 16:50:14 2009  using block size 21449 for processor cache size 1024 kB
Mon Dec 28 16:50:14 2009  commencing Lanczos iteration
Mon Dec 28 16:50:14 2009  memory use: 8.3 MB
Mon Dec 28 16:50:32 2009  lanczos halted after 848 iterations (dim = 53511)
Mon Dec 28 16:50:32 2009  recovered 17 nontrivial dependencies
Mon Dec 28 16:50:33 2009  prp43 factor: 1214461439292902885919855851535820745800129
Mon Dec 28 16:50:33 2009  prp46 factor: 1005071885008421453825553937454888865893101189
Mon Dec 28 16:50:33 2009  elapsed time 00:56:01

86355054425611046119376184812156249412811531277919640993236670520694277233253737093587<86>

9037532917613329690393464518353329398343601<43>
9555157941091744081965785390646249746120387<43>

12/28/09 09:47:40 v1.14 @ REPGMAIL, starting SIQS on c86: 86355054425611046119376184812156249412811531277919640993236670520694277233253737093587
12/28/09 09:47:40 v1.14 @ REPGMAIL, random seeds: 0, 4096248656
12/28/09 09:47:41 v1.14 @ REPGMAIL, ==== sieve params ====
12/28/09 09:47:41 v1.14 @ REPGMAIL, n = 87 digits, 288 bits
12/28/09 09:47:41 v1.14 @ REPGMAIL, factor base: 58110 primes (max prime = 1534961)
12/28/09 09:47:41 v1.14 @ REPGMAIL, single large prime cutoff: 168845710 (110 * pmax)
12/28/09 09:47:41 v1.14 @ REPGMAIL, double large prime range from 43 to 50 bits
12/28/09 09:47:41 v1.14 @ REPGMAIL, double large prime cutoff: 644884672977750
12/28/09 09:47:41 v1.14 @ REPGMAIL, allocating 12 large prime slices of factor base
12/28/09 09:47:41 v1.14 @ REPGMAIL, buckets hold 1024 elements
12/28/09 09:47:41 v1.14 @ REPGMAIL, sieve interval: 18 blocks of size 32768
12/28/09 09:47:41 v1.14 @ REPGMAIL, polynomial A has ~ 11 factors
12/28/09 09:47:41 v1.14 @ REPGMAIL, using multiplier of 3
12/28/09 09:47:41 v1.14 @ REPGMAIL, using small prime variation correction of 19 bits
12/28/09 09:47:41 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
12/28/09 09:47:41 v1.14 @ REPGMAIL, trial factoring cutoff at 96 bits
12/28/09 09:47:41 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
12/28/09 09:59:19 v1.14 @ REPGMAIL, trial division touched 12357446 sieve locations out of 10344050196480
12/28/09 09:59:19 v1.14 @ REPGMAIL, 59980 relations found: 19724 full + 40256 from 545015 partial, using 8768760 polys (519 A polys)
12/28/09 09:59:19 v1.14 @ REPGMAIL, on average, sieving found 0.06 rels/poly and 808.84 rels/sec
12/28/09 09:59:19 v1.14 @ REPGMAIL, trial division touched 12357446 sieve locations out of 10344050196480
12/28/09 09:59:19 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
12/28/09 09:59:19 v1.14 @ REPGMAIL, begin with 564739 relations
12/28/09 09:59:19 v1.14 @ REPGMAIL, reduce to 123677 relations in 9 passes
12/28/09 09:59:25 v1.14 @ REPGMAIL, recovered 123677 relations
12/28/09 09:59:25 v1.14 @ REPGMAIL, recovered 98828 polynomials
12/28/09 09:59:25 v1.14 @ REPGMAIL, attempting to build 59980 cycles
12/28/09 09:59:25 v1.14 @ REPGMAIL, found 59980 cycles in 4 passes
12/28/09 09:59:25 v1.14 @ REPGMAIL, distribution of cycle lengths:
12/28/09 09:59:25 v1.14 @ REPGMAIL,    length 1 : 19724
12/28/09 09:59:25 v1.14 @ REPGMAIL,    length 2 : 16318
12/28/09 09:59:25 v1.14 @ REPGMAIL,    length 3 : 11105
12/28/09 09:59:25 v1.14 @ REPGMAIL,    length 4 : 6331
12/28/09 09:59:25 v1.14 @ REPGMAIL,    length 5 : 3516
12/28/09 09:59:25 v1.14 @ REPGMAIL,    length 6 : 1640
12/28/09 09:59:25 v1.14 @ REPGMAIL,    length 7 : 764
12/28/09 09:59:25 v1.14 @ REPGMAIL,    length 9+: 582
12/28/09 09:59:25 v1.14 @ REPGMAIL, largest cycle: 15 relations
12/28/09 09:59:25 v1.14 @ REPGMAIL, matrix is 58110 x 59980 (11.9 MB) with weight 2889285 (48.17/col)
12/28/09 09:59:25 v1.14 @ REPGMAIL, sparse part has weight 2889285 (48.17/col)
12/28/09 09:59:25 v1.14 @ REPGMAIL, filtering completed in 4 passes
12/28/09 09:59:25 v1.14 @ REPGMAIL, matrix is 50951 x 51015 (10.0 MB) with weight 2427427 (47.58/col)
12/28/09 09:59:25 v1.14 @ REPGMAIL, sparse part has weight 2427427 (47.58/col)
12/28/09 09:59:25 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
12/28/09 09:59:25 v1.14 @ REPGMAIL, matrix is 50903 x 51015 (8.4 MB) with weight 2078452 (40.74/col)
12/28/09 09:59:25 v1.14 @ REPGMAIL, sparse part has weight 1886193 (36.97/col)
12/28/09 09:59:25 v1.14 @ REPGMAIL, matrix includes 64 packed rows
12/28/09 09:59:25 v1.14 @ REPGMAIL, using block size 20406 for processor cache size 6144 kB
12/28/09 09:59:26 v1.14 @ REPGMAIL, commencing Lanczos iteration
12/28/09 09:59:26 v1.14 @ REPGMAIL, memory use: 7.7 MB
12/28/09 09:59:41 v1.14 @ REPGMAIL, lanczos halted after 806 iterations (dim = 50897)
12/28/09 09:59:41 v1.14 @ REPGMAIL, recovered 14 nontrivial dependencies
12/28/09 09:59:41 v1.14 @ REPGMAIL, prp43 = 9037532917613329690393464518353329398343601
12/28/09 09:59:43 v1.14 @ REPGMAIL, prp43 = 9555157941091744081965785390646249746120387
12/28/09 09:59:43 v1.14 @ REPGMAIL, Lanczos elapsed time = 22.4680 seconds.
12/28/09 09:59:43 v1.14 @ REPGMAIL, Sqrt elapsed time = 2.2350 seconds.
12/28/09 09:59:43 v1.14 @ REPGMAIL, SIQS elapsed time = 722.9101 seconds.

YAFU v1.14

4357758830625065079715428191534682135180569537261273040770365233642926875958999834498864011498403969458574304590004659300597<124>

5385378989499177856319113462639669954090587510631531<52>
809183316368663220645496503880342340532984567530432543516576506517395487<72>

N=4357758830625065079715428191534682135180569537261273040770365233642926875958999834498864011498403969458574304590004659300597
  ( 124 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=5385378989499177856319113462639669954090587510631531 (pp52)
 r2=809183316368663220645496503880342340532984567530432543516576506517395487 (pp72)
Version: Msieve-1.40
Total time: 4.34 hours.
Scaled time: 7.93 units (timescale=1.829).
Factorization parameters were as follows:
n: 4357758830625065079715428191534682135180569537261273040770365233642926875958999834498864011498403969458574304590004659300597
m: 100000000000000000000000000
deg: 5
c5: 730000
c0: 71
skew: 0.16
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1545001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 217235 x 217461
Total sieving time: 4.20 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,135.000,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 4.34 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

6358246709269116857811488342732247240283793409446743207092993930317031325424891168972803484449856112551638499783<112>

1834335947182066612841569310054514075686985313<46>
3466238950960290194166180093999899461688609729212517793472907985191<67>

Number: 81119_145
N=6358246709269116857811488342732247240283793409446743207092993930317031325424891168972803484449856112551638499783
  ( 112 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1834335947182066612841569310054514075686985313 (pp46)
 r2=3466238950960290194166180093999899461688609729212517793472907985191 (pp67)
Version: Msieve v. 1.44
Total time: 19.81 hours.
Scaled time: 29.91 units (timescale=1.510).
Factorization parameters were as follows:
n: 6358246709269116857811488342732247240283793409446743207092993930317031325424891168972803484449856112551638499783
m: 100000000000000000000000000000
deg: 5
c5: 73
c0: 71
skew: 0.99
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2980001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274427 x 274652
Total sieving time: 19.55 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 19.81 hours.
 --------- CPU info (if available) ----------
[    0.030036] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.102107] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2051108k/2096800k available (7384k kernel code, 452k absent, 44552k reserved, 3471k data, 780k init)
[    0.001009] Calibrating delay loop (skipped), value calculated using timer frequency.. 3989.98 BogoMIPS (lpj=1994992)
[    0.001999] Calibrating delay using timer specific routine.. 3949.27 BogoMIPS (lpj=1974635)
[    0.103028] Total of 2 processors activated (7939.25 BogoMIPS).

ggnfs + msieve

Core 2 Duo T7200, 2 GB RAM

48542545112927318546933281633409750821664036984445437068207301412271254209399508996381242302047664118761135169803286895247<122>

1850807995846475557968504768409426147704346319<46>
26227758482708608599358967079336782429782746125013969055315410569969216974913<77>

N=48542545112927318546933281633409750821664036984445437068207301412271254209399508996381242302047664118761135169803286895247
  ( 122 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=1850807995846475557968504768409426147704346319 (pp46)
 r2=26227758482708608599358967079336782429782746125013969055315410569969216974913 (pp77)
Version: Msieve-1.40
Total time: 8.70 hours.
Scaled time: 16.09 units (timescale=1.850).
Factorization parameters were as follows:
n: 48542545112927318546933281633409750821664036984445437068207301412271254209399508996381242302047664118761135169803286895247
m: 100000000000000000000000000000
deg: 5
c5: 730
c0: 71
skew: 0.63
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 362517 x 362742
Total sieving time: 8.46 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 8.70 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

21953251784171374657609731586242831491486394566647662911585762150482960490582395788053074950690196056083536895051<113>

116540331761190366881238622528144717<36>
3720228068650720686461137688852033063<37>
50635259867568960551818897795436216399281<41>

Number: 81119_150
N=21953251784171374657609731586242831491486394566647662911585762150482960490582395788053074950690196056083536895051
  ( 113 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=116540331761190366881238622528144717 (pp36)
 r2=3720228068650720686461137688852033063 (pp37)
 r3=50635259867568960551818897795436216399281 (pp41)
Version: Msieve-1.40
Total time: 20.04 hours.
Scaled time: 40.97 units (timescale=2.045).
Factorization parameters were as follows:
name: 81119_150
n: 21953251784171374657609731586242831491486394566647662911585762150482960490582395788053074950690196056083536895051
m: 1000000000000000000000000000000
deg: 5
c5: 73
c0: 71
skew: 0.99
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 388566 x 388814
Total sieving time: 19.15 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 20.04 hours.
 --------- CPU info (if available) ----------

1905315541253752013077582759807238250130285146073407918079507735623325511456331271100365052059902017012187735278764068329011<124>

649198280543771753408969721683516753<36>
2934874595875161758042711750294074136406835672145013423416199808748252191780482255915587<88>

N=1905315541253752013077582759807238250130285146073407918079507735623325511456331271100365052059902017012187735278764068329011
  ( 124 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=649198280543771753408969721683516753 (pp36)
 r2=2934874595875161758042711750294074136406835672145013423416199808748252191780482255915587 (pp88)
Version: Msieve-1.40
Total time: 15.07 hours.
Scaled time: 28.81 units (timescale=1.911).
Factorization parameters were as follows:
n: 1905315541253752013077582759807238250130285146073407918079507735623325511456331271100365052059902017012187735278764068329011
m: 1000000000000000000000000000000
deg: 5
c5: 730
c0: 71
skew: 0.63
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 511740 x 511967
Total sieving time: 14.56 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 15.07 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

193397714578929546855819100341517113905931412338165139612972042690048176815973428629357467214636272087669386443766558610830432331899113<135>

3016269803400184939770812414730349201233819511742954597<55>
64118174826706780157550457294753095106772211039321321833390864304025400384741429<80>

Number: 81119_153
N=193397714578929546855819100341517113905931412338165139612972042690048176815973428629357467214636272087669386443766558610830432331899113
  ( 135 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=3016269803400184939770812414730349201233819511742954597 (pp55)
 r2=64118174826706780157550457294753095106772211039321321833390864304025400384741429 (pp80)
Version: Msieve v. 1.42
Total time: 1.03 hours.
Scaled time: 0.82 units (timescale=0.796).
Factorization parameters were as follows:
name: 81119_153
n: 193397714578929546855819100341517113905931412338165139612972042690048176815973428629357467214636272087669386443766558610830432331899113
m: 1000000000000000000000000000000
deg: 5
c5: 73000
c0: 71
skew: 0.25
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 523981 x 524213
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.85 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 1.03 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.37 BogoMIPS (lpj=1860686)
Calibrating delay using timer specific routine.. 5284.00 BogoMIPS (lpj=2642001)
Total of 2 processors activated (9005.37 BogoMIPS).

Total time: 24 hours.

487777022867997866864481871993694607722641099504462865656424899181452337345597157681646290552959058660029823888579638590484429520747401124840689243<147>

76270710632573980933262856242243184545465711647884313<53>
6395338640776689288090398414743305535067265521240616855130180119126584540849110303070503998611<94>

Number: 81119_155
N=487777022867997866864481871993694607722641099504462865656424899181452337345597157681646290552959058660029823888579638590484429520747401124840689243
  ( 147 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=76270710632573980933262856242243184545465711647884313 (pp53)
 r2=6395338640776689288090398414743305535067265521240616855130180119126584540849110303070503998611 (pp94)
Version: Msieve-1.40
Total time: 25.42 hours.
Scaled time: 54.14 units (timescale=2.130).
Factorization parameters were as follows:
name: 81119_155
n: 487777022867997866864481871993694607722641099504462865656424899181452337345597157681646290552959058660029823888579638590484429520747401124840689243
m: 10000000000000000000000000000000
deg: 5
c5: 73
c0: 71
skew: 0.99
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 521305 x 521553
Total sieving time: 24.61 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 25.42 hours.
 --------- CPU info (if available) ----------

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

39082562585391947142266290488689546928077203757873582066560694421013099288509654900789681133948407149628049381309151211792463<125>

8334826595479844606357732067142478308577<40>
4689067269448324198060047798659843863179399021743490046243744990815319640523525833519<85>

Number: 81119_156
N=39082562585391947142266290488689546928077203757873582066560694421013099288509654900789681133948407149628049381309151211792463
  ( 125 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=8334826595479844606357732067142478308577 (pp40)
 r2=4689067269448324198060047798659843863179399021743490046243744990815319640523525833519 (pp85)
Version: Msieve-1.40
Total time: 30.42 hours.
Scaled time: 70.92 units (timescale=2.331).
Factorization parameters were as follows:
name: 81119_156
n: 39082562585391947142266290488689546928077203757873582066560694421013099288509654900789681133948407149628049381309151211792463
m: 10000000000000000000000000000000
deg: 5
c5: 730
c0: 71
skew: 0.63
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 577942 x 578190
Total sieving time: 29.50 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 30.42 hours.
 --------- CPU info (if available) ----------

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

3526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961353<157>

11813194287240574685494529756410456614431<41>
169097506711717860632323234677739370185882088167<48>
1765419681120603888754290889693436499117110767738478402422497711718289<70>

Factor=169097506711717860632323234677739370185882088167  Method=ECM  B1=11000000  Sigma=3659556059

ggnfs on c110:
Number: qqq
N=20855245691595994901173614977276288038994830995746395933946723352687336994594409810666320799526217538564028559
  ( 110 digits)
Divisors found:
 r1=11813194287240574685494529756410456614431 (pp41)
 r2=1765419681120603888754290889693436499117110767738478402422497711718289 (pp70)
Version: Msieve-1.40
Total time: 15.89 hours.
Scaled time: 29.14 units (timescale=1.834).
Factorization parameters were as follows:
name: qqq
n: 20855245691595994901173614977276288038994830995746395933946723352687336994594409810666320799526217538564028559
skew: 11147.73
# norm 1.63e+015
c5: 18300
c4: 1964797679
c3: -99811704319800
c2: -608441616912518850
c1: 1552274569937597952200
c0: -27125839141135436736384
# alpha -5.53
Y1: 275996499559
Y0: -1026479633186596339495
# Murphy_E 1.05e-009
# M 6892929454314400463437103350700620196528059460278231590139413962356654271402523095757350760089426175164911534
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 405274 x 405502
Polynomial selection time: 1.42 hours.
Total sieving time: 13.81 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 15.89 hours.
 --------- CPU info (if available) ----------

ECMNET/GMP-ECM 6.2.3, GGNFS/msieve

197475445428625811736193335119023186381815372218106874731326371062258555538434139839128066623817205856390690367474957766319<123>

24805636188366137938334637581360208871<38>
2106865835629139024769587699298834367861<40>
3778555899273683689933322821806695945733173749<46>

Number: 81119_158
N=197475445428625811736193335119023186381815372218106874731326371062258555538434139839128066623817205856390690367474957766319
  ( 123 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=24805636188366137938334637581360208871 (pp38)
 r2=2106865835629139024769587699298834367861 (pp40)
 r3=3778555899273683689933322821806695945733173749 (pp46)
Version: Msieve-1.40
Total time: 48.00 hours.
Scaled time: 85.97 units (timescale=1.791).
Factorization parameters were as follows:
name: 81119_158
n: 197475445428625811736193335119023186381815372218106874731326371062258555538434139839128066623817205856390690367474957766319
m: 10000000000000000000000000000000
deg: 5
c5: 73000
c0: 71
skew: 0.25
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 622383 x 622631
Total sieving time: 46.43 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.97 hours.
Time per square root: 0.49 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 48.00 hours.
 --------- CPU info (if available) ----------

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

19245756189218876302408368837268579527852402520269851655932056429161466391155200296105329095363903532068629251087872233602587608060059<134>

634416991318515583535069257610316336529<39>
30336129789368056537994274277444444259653058880044767599301074144106537495471218874266134238571<95>

Number: 81119_159
N=19245756189218876302408368837268579527852402520269851655932056429161466391155200296105329095363903532068629251087872233602587608060059
  ( 134 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=634416991318515583535069257610316336529 (pp39)
 r2=30336129789368056537994274277444444259653058880044767599301074144106537495471218874266134238571 (pp95)
Version: Msieve v. 1.42
Total time: 1.90 hours.
Scaled time: 1.30 units (timescale=0.682).
Factorization parameters were as follows:
name: 81119_159
n: 19245756189218876302408368837268579527852402520269851655932056429161466391155200296105329095363903532068629251087872233602587608060059
m: 10000000000000000000000000000000
deg: 5
c5: 730000
c0: 71
skew: 0.16
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 704796 x 705023
Total sieving time: 0.00 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.61 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 1.90 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.37 BogoMIPS (lpj=1860686)
Calibrating delay using timer specific routine.. 5284.00 BogoMIPS (lpj=2642001)
Total of 2 processors activated (9005.37 BogoMIPS).

Total time: 39 hours.

66321431816117016444081039338602707368038520941219224130099027891341873353320614154628872535659126010720450622331243753974743345143999273189788316525847188153<158>

723063890523385279928377579631<30>

91722782295366267504537020081529298018649695722637585936524585602291080115156428248638042044185867709406700116381466192618949463<128>

Factor=723063890523385279928377579631  Method=ECM  B1=11000000  Sigma=1192380505

ECMNET/GMP-ECM 6.2.3

91722782295366267504537020081529298018649695722637585936524585602291080115156428248638042044185867709406700116381466192618949463<128>

26094469215590555810286618364998509<35>
219281365079609140825051597505734534116290927<45>
16029760239056102147107890808188453316076487285341<50>

Number: 81119_160
N=91722782295366267504537020081529298018649695722637585936524585602291080115156428248638042044185867709406700116381466192618949463
  ( 128 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=26094469215590555810286618364998509 (pp35)
 r2=219281365079609140825051597505734534116290927 (pp45)
 r3=16029760239056102147107890808188453316076487285341 (pp50)
Version: Msieve-1.40
Total time: 42.62 hours.
Scaled time: 63.84 units (timescale=1.498).
Factorization parameters were as follows:
name: 81119_160
n: 91722782295366267504537020081529298018649695722637585936524585602291080115156428248638042044185867709406700116381466192618949463
m: 100000000000000000000000000000000
deg: 5
c5: 73
c0: 71
skew: 0.99
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 638624 x 638872
Total sieving time: 40.87 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.02 hours.
Time per square root: 0.60 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 42.62 hours.
 --------- CPU info (if available) ----------

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

262957768162013367915890911691004083435673910100604007208179770488915740449682163922790211631201974745984338723930438233409634171742376143439<141>

1308836643251379738840811752451457<34>
200909540176671826398163862912942850525870156003328247652388305575984510666880969685100950665754885604581327<108>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1899502385
Step 1 took 2496ms
Step 2 took 1640ms
********** Factor found in step 2: 1308836643251379738840811752451457
Found probable prime factor of 34 digits: 1308836643251379738840811752451457
Probable prime cofactor has 108 digits

1221401543012484063331627165996000677590982934681158357832899340159029774326801745124125839812546925140587209090795947<118>

908777620815932727836561553460523488695544035222835713517<57>
1344004864375804619963978594024872315991755133969521757612791<61>

Number: 81119_165
N=1221401543012484063331627165996000677590982934681158357832899340159029774326801745124125839812546925140587209090795947
  ( 118 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=908777620815932727836561553460523488695544035222835713517 (pp57)
 r2=1344004864375804619963978594024872315991755133969521757612791 (pp61)
Version: Msieve-1.40
Total time: 70.94 hours.
Scaled time: 128.48 units (timescale=1.811).
Factorization parameters were as follows:
name: 81119_165
n: 1221401543012484063331627165996000677590982934681158357832899340159029774326801745124125839812546925140587209090795947
m: 1000000000000000000000000000000000
deg: 5
c5: 73
c0: 71
skew: 0.99
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 832547 x 832795
Total sieving time: 68.86 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 1.84 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 70.94 hours.
 --------- CPU info (if available) ----------

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

6053908911686875189716225406951900728417206051112738603185929123976959282220485314441070593339047774162887374065989800349179781437551<133>

10926147436516769903147270310874897947513674795745184831561<59>
554075345116965317809376196641109773870039465475100829831179449901195385591<75>

Number: 81119_166
N=6053908911686875189716225406951900728417206051112738603185929123976959282220485314441070593339047774162887374065989800349179781437551
  ( 133 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=10926147436516769903147270310874897947513674795745184831561 (pp59)
 r2=554075345116965317809376196641109773870039465475100829831179449901195385591 (pp75)
Version: Msieve-1.40
Total time: 82.30 hours.
Scaled time: 208.55 units (timescale=2.534).
Factorization parameters were as follows:
name: 81119_166
n: 6053908911686875189716225406951900728417206051112738603185929123976959282220485314441070593339047774162887374065989800349179781437551
m: 1000000000000000000000000000000000
deg: 5
c5: 730
c0: 71
skew: 0.63
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 5100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 821122 x 821370
Total sieving time: 80.64 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.46 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,167.000,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 82.30 hours.
 --------- CPU info (if available) ----------

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

2578147449479253539751191204576567032276032274006724305659224014468230623300779045836362895736277692848473176369885340843467<124>

6901954536203986763928693998157238393067937016586420795198531<61>
373538747025304453489596309560240921659812714841516661553591257<63>

Number: 81119_167
N=2578147449479253539751191204576567032276032274006724305659224014468230623300779045836362895736277692848473176369885340843467
  ( 124 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=6901954536203986763928693998157238393067937016586420795198531 (pp61)
 r2=373538747025304453489596309560240921659812714841516661553591257 (pp63)
Version: Msieve-1.40
Total time: 100.27 hours.
Scaled time: 244.47 units (timescale=2.438).
Factorization parameters were as follows:
name: 81119_167
n: 2578147449479253539751191204576567032276032274006724305659224014468230623300779045836362895736277692848473176369885340843467
m: 1000000000000000000000000000000000
deg: 5
c5: 7300
c0: 71
skew: 0.40
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 5900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 952129 x 952377
Total sieving time: 97.75 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 2.09 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 100.27 hours.
 --------- CPU info (if available) ----------

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

4636008014747240722344344927744930339650368449158247147631546613519538721258223966194558640177<94>

105576070585008765246725446861<30>
43911541593266390715124617325956279475958334003954011857668903157<65>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3267219035
Step 1 took 46691ms
********** Factor found in step 1: 105576070585008765246725446861
Found probable prime factor of 30 digits: 105576070585008765246725446861
Probable prime cofactor 43911541593266390715124617325956279475958334003954011857668903157 has 65 digits

GMP-ECM 6.2.3

1088350196642990396834286839777840829905995523071221454817910174238295178454561636875582874844579267160197<106>

107898984614743811359396927485333962240322006001<48>
10086751052653309603849303117734291539731633946535963978197<59>

Number: g3
N=1088350196642990396834286839777840829905995523071221454817910174238295178454561636875582874844579267160197
  ( 106 digits)
Divisors found:
 r1=107898984614743811359396927485333962240322006001 (pp48)
 r2=10086751052653309603849303117734291539731633946535963978197 (pp59)
Version: Msieve-1.40
Total time: 7.59 hours.
Scaled time: 14.89 units (timescale=1.963).
Factorization parameters were as follows:
name: g3
n: 1088350196642990396834286839777840829905995523071221454817910174238295178454561636875582874844579267160197
skew: 7851.96
# norm 7.50e+013
c5: 62460
c4: 385218909
c3: -8930234377597
c2: -21284858027523368
c1: 197850451159795034733
c0: 606131512080643829333043
# alpha -4.83
Y1: 33100080409
Y0: -111746306462803985546
# Murphy_E 1.86e-009
# M 213013665758765232826554471337070240888374151644442956838948819494614593087789903624977282879168933326519
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 315526 x 315751
Polynomial selection time: 0.84 hours.
Total sieving time: 6.38 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.59 hours.
 --------- CPU info (if available) ----------

244740493742824258571592897183781590556554638177858302974980683754402210297558548634948608202947914946663213784787833<117>

199073909004114409087838059995602923784953407296551<51>
1229395127503956453110320892174282744371363133381675250834912569183<67>

N=244740493742824258571592897183781590556554638177858302974980683754402210297558548634948608202947914946663213784787833
  ( 117 digits)
Divisors found:
 r1=199073909004114409087838059995602923784953407296551 (pp51)
 r2=1229395127503956453110320892174282744371363133381675250834912569183 (pp67)
Version: Msieve-1.39
Total time: 33.89 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 244740493742824258571592897183781590556554638177858302974980683754402210297558548634948608202947914946663213784787833
deg: 5
Y0: -40594805001718623391930
Y1: 1839711190843
c5: 2220
c4: 63105157
c3: -171602653099443
c2: -357268219558576782
c1: 222796266195956912484487
c0: 3611942063808192215168229561
skew: 99431.55
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 26
lpba: 26
mfbr: 55
mfba: 55
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 55/55
Sieved algebraic special-q in [2000000, 4700031)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 422279 x 422505
Total sieving time: 33.45 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,26,26,55,55,2.4,2.4,30
total time: 33.89 hours.
 --------- CPU info (if available) ----------
[    0.144009] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.235321] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.331196] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.428180] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197988k/10485760k available (2226k kernel code, 189848k reserved, 1082k data, 392k init)
[    0.083917] Calibrating delay using timer specific routine.. 6004.11 BogoMIPS (lpj=12008231)
[    0.156009] Calibrating delay using timer specific routine.. 8400.06 BogoMIPS (lpj=16800120)
[    0.248015] Calibrating delay using timer specific routine.. 6000.08 BogoMIPS (lpj=12000173)
[    0.347721] Calibrating delay using timer specific routine.. 6000.07 BogoMIPS (lpj=12000153)
[    0.435722] Total of 4 processors activated (26404.33 BogoMIPS).

419414232646591206688101748447709427682513588901998140790112439982190583669323212748193911634977984156891366246187903121028560007<129>

13324300128770220679363512021008285679469<41>
31477393078303577192338852747323144561271038064664956144484487895034781518338342136686403<89>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3881978367
Step 1 took 71324ms
Step 2 took 49203ms
********** Factor found in step 2: 13324300128770220679363512021008285679469
Found probable prime factor of 41 digits: 13324300128770220679363512021008285679469
Probable prime cofactor 31477393078303577192338852747323144561271038064664956144484487895034781518338342136686403 has 89 digits

GMP-ECM 6.2.3

23512511554950027860715746618868629478247705919677395457898110302667220660089605215268316407545905763142044557819842627217181526251880195701397545036122303710789666090127<170>

109921362229403379317906076629202024169983679713342589<54>
213903021924709700966725531874392013593509801982320886329878519207658021547473078621047504495471576430072545726869243<117>

Number: 81119_173
N=23512511554950027860715746618868629478247705919677395457898110302667220660089605215268316407545905763142044557819842627217181526251880195701397545036122303710789666090127
  ( 170 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=109921362229403379317906076629202024169983679713342589
 r2=213903021924709700966725531874392013593509801982320886329878519207658021547473078621047504495471576430072545726869243
Version: 
Total time: 182.00 hours.
Scaled time: 366.73 units (timescale=2.015).
Factorization parameters were as follows:
n: 23512511554950027860715746618868629478247705919677395457898110302667220660089605215268316407545905763142044557819842627217181526251880195701397545036122303710789666090127
m: 10000000000000000000000000000000000
deg: 5
c5: 73000
c0: 71
skew: 0.25
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 9350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1190422 x 1190670
Total sieving time: 182.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 182.00 hours.
 --------- CPU info (if available) ----------

15228085704657499533374468822467083804306393534782584497155372355407338734103857472099334811809088984127299962180416052147877616042394472616922881956176486989<158>

615372942444724421742301622852266259289250502392937608623668190389457346687<75>
24746108667306825892150263612358114824355465819510480863545451091251296975012452147<83>

Number: n
N=15228085704657499533374468822467083804306393534782584497155372355407338734103857472099334811809088984127299962180416052147877616042394472616922881956176486989
  ( 158 digits)
SNFS difficulty: 176 digits.
Divisors found:

Fri Oct  1 14:37:13 2010  prp75 factor: 615372942444724421742301622852266259289250502392937608623668190389457346687
Fri Oct  1 14:37:13 2010  prp83 factor: 24746108667306825892150263612358114824355465819510480863545451091251296975012452147
Fri Oct  1 14:37:13 2010  elapsed time 01:42:15 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
name: KA_8_1_174_9
n: 15228085704657499533374468822467083804306393534782584497155372355407338734103857472099334811809088984127299962180416052147877616042394472616922881956176486989
m: 100000000000000000000000000000000000
deg: 5
c5: 73
c0: 71
skew: 0.99
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 24600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5027025 hash collisions in 39999999 relations
Msieve: matrix is 959178 x 959409 (266.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,56,56,2.5,2.5,100000
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.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

4114742872096812164082687281948629156924212666106953457366934643475770710962980110398380548669648828215848753032237256267083<124>

2341177347359578449146897594973923<34>

1757552829877451416849717262216592472850367281894741507061437513750294679890477114879308921<91>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=66588169
Step 1 took 6708ms
Step 2 took 6443ms
********** Factor found in step 2: 2341177347359578449146897594973923
Found probable prime factor of 34 digits: 2341177347359578449146897594973923
Composite cofactor 1757552829877451416849717262216592472850367281894741507061437513750294679890477114879308921 has 91 digits

GMP-ECM 6.2.3

1757552829877451416849717262216592472850367281894741507061437513750294679890477114879308921<91>

89431210159523054761511299251599119467930611<44>
19652566780013531408077346917236765410161450211<47>

>> siqs(1757552829877451416849717262216592472850367281894741507061437513750294679890477114879308921)


starting SIQS on c91: 1757552829877451416849717262216592472850367281894741507061437513750294679890477114879308921

==== sieving in progress ( 3 threads):   67476 relations needed ====
====            Press ctrl-c to abort and save state            ====
67887 rels found: 18890 full + 48997 from 836109 partial, (1270.15 rels/sec)

SIQS elapsed time = 706.6873 seconds.


***factors found***

PRP47 = 19652566780013531408077346917236765410161450211
PRP44 = 89431210159523054761511299251599119467930611

ans = 1

yafu 1.16

Q6700 @ 3.0Ghz, Linux 64bit

21422337112768032533417422600931998156005251667220164115331008415380905440040372076719366767905247849855512387445478305573903036007472966183<140>

181752199409458861117669154124804770857<39>
117865627939428159284170436744413355698232193335027149918042074350680989005736615277112389110260960719<102>

Number: n
N=21422337112768032533417422600931998156005251667220164115331008415380905440040372076719366767905247849855512387445478305573903036007472966183
  ( 140 digits)
SNFS difficulty: 180 digits.
Divisors found:

Thu Sep 30 22:39:59 2010  prp39 factor: 181752199409458861117669154124804770857
Thu Sep 30 22:39:59 2010  prp102 factor: 117865627939428159284170436744413355698232193335027149918042074350680989005736615277112389110260960719
Thu Sep 30 22:39:59 2010  elapsed time 01:44:31 (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_8_1_178_9
n: 21422337112768032533417422600931998156005251667220164115331008415380905440040372076719366767905247849855512387445478305573903036007472966183
m: 100000000000000000000000000000000000
deg: 5
c5: 730000
c0: 71
skew: 0.16
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 11500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6245719 hash collisions in 45156523 relations
Msieve: matrix is 969290 x 969521 (267.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,56,56,2.5,2.5,100000
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.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

24136907198606100725113290353052737956220307569628150734052113008710168609824915108634789766836857143681096077392807829955964220237451594964601808346251<152>

10386321462700568540425420443421528815354802853614457593<56>
2323912973932756983724631095665817181922892562606143545631583211265004361372826006976229260396707<97>

Number: n
N=24136907198606100725113290353052737956220307569628150734052113008710168609824915108634789766836857143681096077392807829955964220237451594964601808346251
  ( 152 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Sep 30 10:11:54 2010  prp56 factor: 10386321462700568540425420443421528815354802853614457593
Thu Sep 30 10:11:54 2010  prp97 factor: 2323912973932756983724631095665817181922892562606143545631583211265004361372826006976229260396707
Thu Sep 30 10:11:54 2010  elapsed time 01:20:13 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
name: KA_8_1_179_9
n: 24136907198606100725113290353052737956220307569628150734052113008710168609824915108634789766836857143681096077392807829955964220237451594964601808346251
m: 1000000000000000000000000000000000000
deg: 5
c5: 73
c0: 71
skew: 0.99
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 4850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3861705 hash collisions in 33194480 relations
Msieve: matrix is 928194 x 928419 (262.2 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:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,56,56,2.5,2.5,100000
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.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

1754653605893905164954090306795305755631915724208732821023573699115149475503264462074071305894202708697203944426370952678751<124>

13147348290245991062072054295243276024194393<44>
133460646752294643798066604926464546579671078112544808831269222913583727078726007<81>

Thu Mar 25 16:42:30 2010  Msieve v. 1.44
Thu Mar 25 16:42:30 2010  random seeds: 26d332ac 7bcdc52a
Thu Mar 25 16:42:30 2010  factoring 1754653605893905164954090306795305755631915724208732821023573699115149475503264462074071305894202708697203944426370952678751 (124 digits)
Thu Mar 25 16:42:31 2010  no P-1/P+1/ECM available, skipping
Thu Mar 25 16:42:31 2010  commencing number field sieve (124-digit input)
Thu Mar 25 16:42:31 2010  R0: -823967026486191979264368
Thu Mar 25 16:42:31 2010  R1:  17823470055217
Thu Mar 25 16:42:31 2010  A0:  7770486367801061401587684291935
Thu Mar 25 16:42:31 2010  A1:  258294806924657330382620521
Thu Mar 25 16:42:31 2010  A2:  138774140922341984241
Thu Mar 25 16:42:31 2010  A3: -5477437477117045
Thu Mar 25 16:42:31 2010  A4:  125735728
Thu Mar 25 16:42:31 2010  A5:  4620
Thu Mar 25 16:42:31 2010  skew 440791.91, size 8.285253e-12, alpha -7.269731, combined = 1.957760e-10
Thu Mar 25 16:42:31 2010  
Thu Mar 25 16:42:31 2010  commencing relation filtering
Thu Mar 25 16:42:31 2010  estimated available RAM is 7994.1 MB
Thu Mar 25 16:42:31 2010  commencing duplicate removal, pass 1
Thu Mar 25 16:43:43 2010  found 1180545 hash collisions in 10900348 relations
Thu Mar 25 16:43:58 2010  added 78 free relations
Thu Mar 25 16:43:58 2010  commencing duplicate removal, pass 2
Thu Mar 25 16:44:02 2010  found 915800 duplicates and 9984626 unique relations
Thu Mar 25 16:44:02 2010  memory use: 49.3 MB
Thu Mar 25 16:44:02 2010  reading ideals above 100000
Thu Mar 25 16:44:02 2010  commencing singleton removal, initial pass
Thu Mar 25 16:45:30 2010  memory use: 344.5 MB
Thu Mar 25 16:45:30 2010  reading all ideals from disk
Thu Mar 25 16:45:30 2010  memory use: 358.5 MB
Thu Mar 25 16:45:31 2010  keeping 10894064 ideals with weight <= 200, target excess is 52429
Thu Mar 25 16:45:32 2010  commencing in-memory singleton removal
Thu Mar 25 16:45:33 2010  begin with 9984626 relations and 10894064 unique ideals
Thu Mar 25 16:45:41 2010  reduce to 3815250 relations and 3676369 ideals in 18 passes
Thu Mar 25 16:45:41 2010  max relations containing the same ideal: 105
Thu Mar 25 16:45:43 2010  removing 435697 relations and 396665 ideals in 39032 cliques
Thu Mar 25 16:45:43 2010  commencing in-memory singleton removal
Thu Mar 25 16:45:44 2010  begin with 3379553 relations and 3676369 unique ideals
Thu Mar 25 16:45:47 2010  reduce to 3340826 relations and 3240423 ideals in 11 passes
Thu Mar 25 16:45:47 2010  max relations containing the same ideal: 97
Thu Mar 25 16:45:49 2010  removing 318023 relations and 278991 ideals in 39032 cliques
Thu Mar 25 16:45:49 2010  commencing in-memory singleton removal
Thu Mar 25 16:45:49 2010  begin with 3022803 relations and 3240423 unique ideals
Thu Mar 25 16:45:51 2010  reduce to 2998964 relations and 2937282 ideals in 8 passes
Thu Mar 25 16:45:51 2010  max relations containing the same ideal: 94
Thu Mar 25 16:45:53 2010  relations with 0 large ideals: 131
Thu Mar 25 16:45:53 2010  relations with 1 large ideals: 434
Thu Mar 25 16:45:53 2010  relations with 2 large ideals: 6630
Thu Mar 25 16:45:53 2010  relations with 3 large ideals: 54287
Thu Mar 25 16:45:53 2010  relations with 4 large ideals: 239930
Thu Mar 25 16:45:53 2010  relations with 5 large ideals: 598677
Thu Mar 25 16:45:53 2010  relations with 6 large ideals: 877849
Thu Mar 25 16:45:53 2010  relations with 7+ large ideals: 1221026
Thu Mar 25 16:45:53 2010  commencing 2-way merge
Thu Mar 25 16:45:55 2010  reduce to 1710358 relation sets and 1648676 unique ideals
Thu Mar 25 16:45:55 2010  commencing full merge
Thu Mar 25 16:46:23 2010  memory use: 191.0 MB
Thu Mar 25 16:46:23 2010  found 854083 cycles, need 846876
Thu Mar 25 16:46:23 2010  weight of 846876 cycles is about 59463236 (70.21/cycle)
Thu Mar 25 16:46:23 2010  distribution of cycle lengths:
Thu Mar 25 16:46:23 2010  1 relations: 109977
Thu Mar 25 16:46:23 2010  2 relations: 102647
Thu Mar 25 16:46:23 2010  3 relations: 99754
Thu Mar 25 16:46:23 2010  4 relations: 86988
Thu Mar 25 16:46:23 2010  5 relations: 76871
Thu Mar 25 16:46:23 2010  6 relations: 63924
Thu Mar 25 16:46:23 2010  7 relations: 55733
Thu Mar 25 16:46:23 2010  8 relations: 46845
Thu Mar 25 16:46:23 2010  9 relations: 39207
Thu Mar 25 16:46:23 2010  10+ relations: 164930
Thu Mar 25 16:46:23 2010  heaviest cycle: 24 relations
Thu Mar 25 16:46:23 2010  commencing cycle optimization
Thu Mar 25 16:46:25 2010  start with 5026658 relations
Thu Mar 25 16:46:31 2010  pruned 96133 relations
Thu Mar 25 16:46:31 2010  memory use: 171.7 MB
Thu Mar 25 16:46:31 2010  distribution of cycle lengths:
Thu Mar 25 16:46:31 2010  1 relations: 109977
Thu Mar 25 16:46:31 2010  2 relations: 104739
Thu Mar 25 16:46:31 2010  3 relations: 102539
Thu Mar 25 16:46:31 2010  4 relations: 88569
Thu Mar 25 16:46:31 2010  5 relations: 77923
Thu Mar 25 16:46:31 2010  6 relations: 64474
Thu Mar 25 16:46:31 2010  7 relations: 55766
Thu Mar 25 16:46:31 2010  8 relations: 46515
Thu Mar 25 16:46:31 2010  9 relations: 38927
Thu Mar 25 16:46:31 2010  10+ relations: 157447
Thu Mar 25 16:46:31 2010  heaviest cycle: 24 relations
Thu Mar 25 16:46:33 2010  RelProcTime: 242
Thu Mar 25 16:46:33 2010  elapsed time 00:04:03
Thu Mar 25 16:46:39 2010 -> Running matrix solving step ...
Thu Mar 25 16:46:39 2010  
Thu Mar 25 16:46:39 2010  
Thu Mar 25 16:46:39 2010  Msieve v. 1.44
Thu Mar 25 16:46:39 2010  random seeds: cef5cedf 88cc2088
Thu Mar 25 16:46:39 2010  factoring 1754653605893905164954090306795305755631915724208732821023573699115149475503264462074071305894202708697203944426370952678751 (124 digits)
Thu Mar 25 16:46:40 2010  no P-1/P+1/ECM available, skipping
Thu Mar 25 16:46:40 2010  commencing number field sieve (124-digit input)
Thu Mar 25 16:46:40 2010  R0: -823967026486191979264368
Thu Mar 25 16:46:40 2010  R1:  17823470055217
Thu Mar 25 16:46:40 2010  A0:  7770486367801061401587684291935
Thu Mar 25 16:46:40 2010  A1:  258294806924657330382620521
Thu Mar 25 16:46:40 2010  A2:  138774140922341984241
Thu Mar 25 16:46:40 2010  A3: -5477437477117045
Thu Mar 25 16:46:40 2010  A4:  125735728
Thu Mar 25 16:46:40 2010  A5:  4620
Thu Mar 25 16:46:40 2010  skew 440791.91, size 8.285253e-12, alpha -7.269731, combined = 1.957760e-10
Thu Mar 25 16:46:40 2010  
Thu Mar 25 16:46:40 2010  commencing linear algebra
Thu Mar 25 16:46:40 2010  read 846876 cycles
Thu Mar 25 16:46:41 2010  cycles contain 2921895 unique relations
Thu Mar 25 16:47:00 2010  read 2921895 relations
Thu Mar 25 16:47:04 2010  using 20 quadratic characters above 134217410
Thu Mar 25 16:47:18 2010  building initial matrix
Thu Mar 25 16:47:49 2010  memory use: 370.6 MB
Thu Mar 25 16:47:49 2010  read 846876 cycles
Thu Mar 25 16:47:50 2010  matrix is 846698 x 846876 (257.7 MB) with weight 80696594 (95.29/col)
Thu Mar 25 16:47:50 2010  sparse part has weight 57396466 (67.77/col)
Thu Mar 25 16:47:57 2010  filtering completed in 2 passes
Thu Mar 25 16:47:57 2010  matrix is 845160 x 845338 (257.6 MB) with weight 80634436 (95.39/col)
Thu Mar 25 16:47:57 2010  sparse part has weight 57378636 (67.88/col)
Thu Mar 25 16:48:01 2010  read 845338 cycles
Thu Mar 25 16:48:02 2010  matrix is 845160 x 845338 (257.6 MB) with weight 80634436 (95.39/col)
Thu Mar 25 16:48:02 2010  sparse part has weight 57378636 (67.88/col)
Thu Mar 25 16:48:02 2010  saving the first 48 matrix rows for later
Thu Mar 25 16:48:02 2010  matrix is 845112 x 845338 (247.8 MB) with weight 64498792 (76.30/col)
Thu Mar 25 16:48:02 2010  sparse part has weight 56494634 (66.83/col)
Thu Mar 25 16:48:02 2010  matrix includes 64 packed rows
Thu Mar 25 16:48:02 2010  using block size 65536 for processor cache size 8192 kB
Thu Mar 25 16:48:06 2010  commencing Lanczos iteration (4 threads)
Thu Mar 25 16:48:06 2010  memory use: 257.0 MB
Thu Mar 25 16:48:13 2010  linear algebra at 0.2%, ETA 1h 4m
Thu Mar 25 17:34:22 2010  lanczos halted after 13365 iterations (dim = 845112)
Thu Mar 25 17:34:23 2010  recovered 30 nontrivial dependencies
Thu Mar 25 17:34:23 2010  BLanczosTime: 2863
Thu Mar 25 17:34:23 2010  elapsed time 00:47:44
Thu Mar 25 17:34:23 2010 -> Running square root step ...
Thu Mar 25 17:34:23 2010  
Thu Mar 25 17:34:23 2010  
Thu Mar 25 17:34:23 2010  Msieve v. 1.44
Thu Mar 25 17:34:23 2010  random seeds: a0ed3eaa 3acfd8eb
Thu Mar 25 17:34:23 2010  factoring 1754653605893905164954090306795305755631915724208732821023573699115149475503264462074071305894202708697203944426370952678751 (124 digits)
Thu Mar 25 17:34:24 2010  no P-1/P+1/ECM available, skipping
Thu Mar 25 17:34:24 2010  commencing number field sieve (124-digit input)
Thu Mar 25 17:34:24 2010  R0: -823967026486191979264368
Thu Mar 25 17:34:24 2010  R1:  17823470055217
Thu Mar 25 17:34:24 2010  A0:  7770486367801061401587684291935
Thu Mar 25 17:34:24 2010  A1:  258294806924657330382620521
Thu Mar 25 17:34:24 2010  A2:  138774140922341984241
Thu Mar 25 17:34:24 2010  A3: -5477437477117045
Thu Mar 25 17:34:24 2010  A4:  125735728
Thu Mar 25 17:34:24 2010  A5:  4620
Thu Mar 25 17:34:24 2010  skew 440791.91, size 8.285253e-12, alpha -7.269731, combined = 1.957760e-10
Thu Mar 25 17:34:24 2010  
Thu Mar 25 17:34:24 2010  commencing square root phase
Thu Mar 25 17:34:24 2010  reading relations for dependency 1
Thu Mar 25 17:34:24 2010  read 422895 cycles
Thu Mar 25 17:34:24 2010  cycles contain 1460194 unique relations
Thu Mar 25 17:34:35 2010  read 1460194 relations
Thu Mar 25 17:34:42 2010  multiplying 1460194 relations
Thu Mar 25 17:37:03 2010  multiply complete, coefficients have about 63.65 million bits
Thu Mar 25 17:37:03 2010  initial square root is modulo 1373466197
Thu Mar 25 17:41:16 2010  reading relations for dependency 2
Thu Mar 25 17:41:16 2010  read 422776 cycles
Thu Mar 25 17:41:17 2010  cycles contain 1460850 unique relations
Thu Mar 25 17:41:27 2010  read 1460850 relations
Thu Mar 25 17:41:34 2010  multiplying 1460850 relations
Thu Mar 25 17:43:56 2010  multiply complete, coefficients have about 63.68 million bits
Thu Mar 25 17:43:56 2010  initial square root is modulo 1386182201
Thu Mar 25 17:48:09 2010  Newton iteration failed to converge
Thu Mar 25 17:48:09 2010  algebraic square root failed
Thu Mar 25 17:48:09 2010  reading relations for dependency 3
Thu Mar 25 17:48:09 2010  read 422372 cycles
Thu Mar 25 17:48:10 2010  cycles contain 1459872 unique relations
Thu Mar 25 17:48:20 2010  read 1459872 relations
Thu Mar 25 17:48:27 2010  multiplying 1459872 relations
Thu Mar 25 17:50:48 2010  multiply complete, coefficients have about 63.63 million bits
Thu Mar 25 17:50:49 2010  initial square root is modulo 1365510331
Thu Mar 25 17:55:02 2010  sqrtTime: 1238
Thu Mar 25 17:55:02 2010  prp44 factor: 13147348290245991062072054295243276024194393
Thu Mar 25 17:55:02 2010  prp81 factor: 133460646752294643798066604926464546579671078112544808831269222913583727078726007
Thu Mar 25 17:55:02 2010  elapsed time 00:20:39
Thu Mar 25 17:55:02 2010 -> Computing 1.26954e+09 scale for this machine...
Thu Mar 25 17:55:02 2010 -> procrels -speedtest> PIPE
Thu Mar 25 17:55:07 2010 -> Factorization summary written to g124-example.txt

Msieve 1.44-GPU (for polybomial selection
Msieve 1.44 for LA
GGNFS 0.77.1 for sieving
factmsieve.py for automation

Intel core I5-750 @2.67 GHz
Ubuntu Linux 9.10

49798902559780556915652096896136969405025360961279118387350246155824250845745006762057191311032997277027545062231184224009240300593641866029623218589860465209734745828371359<173>

6892585283282467724482193660744448506322729576216573632623329989779223<70>
7224996211590542705856809999220894510332841550074603613386420237692412812930457163482858397449460559033<103>

N=49798902559780556915652096896136969405025360961279118387350246155824250845745006762057191311032997277027545062231184224009240300593641866029623218589860465209734745828371359
  ( 173 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=6892585283282467724482193660744448506322729576216573632623329989779223 (pp70)
 r2=7224996211590542705856809999220894510332841550074603613386420237692412812930457163482858397449460559033 (pp103)
Version: Msieve v. 1.47
Total time:
Scaled time: 18.90 units (timescale=1.214).
Factorization parameters were as follows:
n: 49798902559780556915652096896136969405025360961279118387350246155824250845745006762057191311032997277027545062231184224009240300593641866029623218589860465209734745828371359
m: 1000000000000000000000000000000000000
deg: 5
c5: 7300
c0: 71
skew: 0.40
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5

Factor 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, 14450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1832610 x 1832836
Total sieving time:
Total relation processing time:
Matrix solve time: 
Time per square root:
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time:

21128460040562181942233073073878594432832008998362360253728000107822876224207977037073629186870009147803844327172902716420582340608044186242775011<146>

219669271682175451617021375736320952183499<42>
2923088295786972486300125649576748937217643<43>
32904598830433764759349230757719616714741337644102413899504923<62>

Number: n
N=21128460040562181942233073073878594432832008998362360253728000107822876224207977037073629186870009147803844327172902716420582340608044186242775011
  ( 146 digits)
SNFS difficulty: 186 digits.
Divisors found:

Thu Sep 30 03:03:23 2010  prp42 factor: 219669271682175451617021375736320952183499
Thu Sep 30 03:03:23 2010  prp43 factor: 2923088295786972486300125649576748937217643
Thu Sep 30 03:03:23 2010  prp62 factor: 32904598830433764759349230757719616714741337644102413899504923
Thu Sep 30 03:03:23 2010  elapsed time 02:06:02 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
name: KA_8_1_184_9
n: 21128460040562181942233073073878594432832008998362360253728000107822876224207977037073629186870009147803844327172902716420582340608044186242775011
m: 10000000000000000000000000000000000000
deg: 5
c5: 73
c0: 71
skew: 0.99
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 9050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4348570 hash collisions in 33773582 relations
Msieve: matrix is 1124572 x 1124797 (316.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,56,56,2.5,2.5,100000
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.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

88341989443328674796715811369839298674964000984029354874601940246496570191758734171946918073602134034747<104>

11697732234420333258671146321369687245228756659<47>
7552061175018540120341108340869899034360620024154378035033<58>

Number: g1
N=88341989443328674796715811369839298674964000984029354874601940246496570191758734171946918073602134034747
  ( 104 digits)
Divisors found:
 r1=11697732234420333258671146321369687245228756659 (pp47)
 r2=7552061175018540120341108340869899034360620024154378035033 (pp58)
Version: Msieve-1.40
Total time: 6.67 hours.
Scaled time: 12.02 units (timescale=1.803).
Factorization parameters were as follows:
name: g1
n: 88341989443328674796715811369839298674964000984029354874601940246496570191758734171946918073602134034747
skew: 1531.40
# norm 7.17e+013
c5: 1921200
c4: 59098180
c3: -17324436060594
c2: 3444508395077074
c1: 4924717039676191755
c0: -1874550910939383581093
# alpha -4.89
Y1: 212601053717
Y0: -34081515857774665404
# Murphy_E 2.17e-009
# M 11005730903171216720666529630464909079289502420104275875835913715465029128134569819673297041795263970948
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 270129 x 270354
Polynomial selection time: 0.64 hours.
Total sieving time: 5.70 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.22 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 6.67 hours.
 --------- CPU info (if available) ----------

16438229589692121339368710852484934724830746797194849992448747464417799800154519308831229689545754554172583938354793254776895726072028517590554578358539760599180645591571<170>

281058495879176993399901151002829941325214371<45>
5798303789731656169461409227895093868122231985568611<52>
10086891714165103585270799664092952494368167310071179401134235381838853691<74>

Number: n
N=16438229589692121339368710852484934724830746797194849992448747464417799800154519308831229689545754554172583938354793254776895726072028517590554578358539760599180645591571
  ( 170 digits)
SNFS difficulty: 188 digits.
Divisors found:

Wed Sep 29 18:03:10 2010  prp45 factor: 281058495879176993399901151002829941325214371
Wed Sep 29 18:03:10 2010  prp52 factor: 5798303789731656169461409227895093868122231985568611
Wed Sep 29 18:03:10 2010  prp74 factor: 10086891714165103585270799664092952494368167310071179401134235381838853691
Wed Sep 29 18:03:10 2010  elapsed time 02:46:21 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
name: KA_8_1_186_9
n: 16438229589692121339368710852484934724830746797194849992448747464417799800154519308831229689545754554172583938354793254776895726072028517590554578358539760599180645591571
m: 10000000000000000000000000000000000000
deg: 5
c5: 7300
c0: 71
skew: 0.40
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 16200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6005784 hash collisions in 38044564 relations
Msieve: matrix is 1326393 x 1326619 (373.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,56,56,2.5,2.5,100000
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.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

113525746538671481916450491047863448460110343724402664981642600793929032232925821424430410282324163835483966576019349449792527<126>

268325269005618510033734242274281<33>

423090031585114506412053900570642141754467467663044571333843704528680474429505595700263699767<93>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3801813955
Step 1 took 6458ms
Step 2 took 6521ms
********** Factor found in step 2: 268325269005618510033734242274281
Found probable prime factor of 33 digits: 268325269005618510033734242274281
Composite cofactor 423090031585114506412053900570642141754467467663044571333843704528680474429505595700263699767 has 93 digits

GMP-ECM 6.2.3

423090031585114506412053900570642141754467467663044571333843704528680474429505595700263699767<93>

1899842397191770810723806788623538606419<40>
222697436487626525196820465796436832258574649762401293<54>

Mon Mar 22 11:32:08 2010  
Mon Mar 22 11:32:08 2010  
Mon Mar 22 11:32:08 2010  Msieve v. 1.42
Mon Mar 22 11:32:08 2010  random seeds: 8488afba 294d2b28
Mon Mar 22 11:32:08 2010  factoring 423090031585114506412053900570642141754467467663044571333843704528680474429505595700263699767 (93 digits)
Mon Mar 22 11:32:08 2010  no P-1/P+1/ECM available, skipping
Mon Mar 22 11:32:08 2010  commencing quadratic sieve (93-digit input)
Mon Mar 22 11:32:08 2010  using multiplier of 7
Mon Mar 22 11:32:08 2010  using 32kb Intel Core sieve core
Mon Mar 22 11:32:08 2010  sieve interval: 36 blocks of size 32768
Mon Mar 22 11:32:08 2010  processing polynomials in batches of 6
Mon Mar 22 11:32:08 2010  using a sieve bound of 1918523 (71765 primes)
Mon Mar 22 11:32:08 2010  using large prime bound of 232141283 (27 bits)
Mon Mar 22 11:32:08 2010  using double large prime bound of 1143810940281977 (42-51 bits)
Mon Mar 22 11:32:08 2010  using trial factoring cutoff of 51 bits
Mon Mar 22 11:32:08 2010  polynomial 'A' values have 12 factors
Mon Mar 22 13:05:18 2010  72183 relations (17935 full + 54248 combined from 965375 partial), need 71861
Mon Mar 22 13:05:18 2010  begin with 983310 relations
Mon Mar 22 13:05:19 2010  reduce to 185002 relations in 10 passes
Mon Mar 22 13:05:19 2010  attempting to read 185002 relations
Mon Mar 22 13:05:20 2010  recovered 185002 relations
Mon Mar 22 13:05:20 2010  recovered 167416 polynomials
Mon Mar 22 13:05:20 2010  attempting to build 72183 cycles
Mon Mar 22 13:05:20 2010  found 72183 cycles in 6 passes
Mon Mar 22 13:05:20 2010  distribution of cycle lengths:
Mon Mar 22 13:05:20 2010     length 1 : 17935
Mon Mar 22 13:05:20 2010     length 2 : 13024
Mon Mar 22 13:05:20 2010     length 3 : 12203
Mon Mar 22 13:05:20 2010     length 4 : 9797
Mon Mar 22 13:05:20 2010     length 5 : 7235
Mon Mar 22 13:05:20 2010     length 6 : 4778
Mon Mar 22 13:05:20 2010     length 7 : 3054
Mon Mar 22 13:05:20 2010     length 9+: 4157
Mon Mar 22 13:05:20 2010  largest cycle: 20 relations
Mon Mar 22 13:05:20 2010  matrix is 71765 x 72183 (19.1 MB) with weight 4422985 (61.27/col)
Mon Mar 22 13:05:20 2010  sparse part has weight 4422985 (61.27/col)
Mon Mar 22 13:05:20 2010  filtering completed in 3 passes
Mon Mar 22 13:05:20 2010  matrix is 68104 x 68168 (18.0 MB) with weight 4182948 (61.36/col)
Mon Mar 22 13:05:20 2010  sparse part has weight 4182948 (61.36/col)
Mon Mar 22 13:05:20 2010  saving the first 48 matrix rows for later
Mon Mar 22 13:05:20 2010  matrix is 68056 x 68168 (10.9 MB) with weight 3159437 (46.35/col)
Mon Mar 22 13:05:20 2010  sparse part has weight 2187087 (32.08/col)
Mon Mar 22 13:05:20 2010  matrix includes 64 packed rows
Mon Mar 22 13:05:20 2010  using block size 27267 for processor cache size 8192 kB
Mon Mar 22 13:05:21 2010  commencing Lanczos iteration
Mon Mar 22 13:05:21 2010  memory use: 10.7 MB
Mon Mar 22 13:05:34 2010  lanczos halted after 1078 iterations (dim = 68054)
Mon Mar 22 13:05:34 2010  recovered 16 nontrivial dependencies
Mon Mar 22 13:05:34 2010  prp40 factor: 1899842397191770810723806788623538606419
Mon Mar 22 13:05:34 2010  prp54 factor: 222697436487626525196820465796436832258574649762401293
Mon Mar 22 13:05:34 2010  elapsed time 01:33:26

41986991255998492840959136790031910569104558348126518842066410856535622674271097127811426731820652728583463952755010150819640649981331166103318082168457675530131913<164>

2378929041358395440570388305691413527<37>
16745449919378812904772880514993263516725189546710466059<56>
1053989891803546867331821719596720764892901851071881856793059148655031741<73>

Number: n
N=41986991255998492840959136790031910569104558348126518842066410856535622674271097127811426731820652728583463952755010150819640649981331166103318082168457675530131913
  ( 164 digits)
SNFS difficulty: 190 digits.
Divisors found:

Wed Sep 29 02:14:36 2010  prp37 factor: 2378929041358395440570388305691413527
Wed Sep 29 02:14:36 2010  prp56 factor: 16745449919378812904772880514993263516725189546710466059
Wed Sep 29 02:14:36 2010  prp73 factor: 1053989891803546867331821719596720764892901851071881856793059148655031741
Wed Sep 29 02:14:36 2010  elapsed time 03:58:09 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_8_1_188_9
n: 41986991255998492840959136790031910569104558348126518842066410856535622674271097127811426731820652728583463952755010150819640649981331166103318082168457675530131913
m: 10000000000000000000000000000000000000
deg: 5
c5: 730000
c0: 71
skew: 0.16
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 6400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5348212 hash collisions in 34245601 relations
Msieve: matrix is 1586377 x 1586602 (447.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,56,56,2.5,2.5,100000
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.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

1725768321513002364066193853427895981087470449172576832151300236406619385342789598108747044917257683215130023640661938534278959810874704491725768321513002364066193853427895981087470449172577<190>

7496978611399826992455954336521573069359668309961900039224111224953942825609<76>
230195177413047059659441039403278277652620483014205313141683306096676569285407621213308806340434888879386009321753<114>

Number: n
N=1725768321513002364066193853427895981087470449172576832151300236406619385342789598108747044917257683215130023640661938534278959810874704491725768321513002364066193853427895981087470449172577
  ( 190 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed Mar 24 19:11:34 2010  prp76 factor: 7496978611399826992455954336521573069359668309961900039224111224953942825609
Wed Mar 24 19:11:34 2010  prp114 factor: 230195177413047059659441039403278277652620483014205313141683306096676569285407621213308806340434888879386009321753
Wed Mar 24 19:11:34 2010  elapsed time 02:57:39 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.071).
Factorization parameters were as follows:
name: KA_8_1_189_9
n: 1725768321513002364066193853427895981087470449172576832151300236406619385342789598108747044917257683215130023640661938534278959810874704491725768321513002364066193853427895981087470449172577
m: 100000000000000000000000000000000000000
deg: 5
c5: 73
c0: 71
skew: 0.99
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 23200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3705557 hash collisions in 33884173 relations
Msieve: matrix is 1456430 x 1456655 (411.5 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:
snfs,191,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6061180k/7077888k available (3786k kernel code, 787972k absent, 228736k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.27 BogoMIPS (lpj=2798138)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.09 BogoMIPS (lpj=2797549)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Total of 8 processors activated (44762.02 BogoMIPS).

45262116631975069530214988322097457084135992088112775810219628391031114059290916589309807894009441142208323663733793069624514775937584093821166862529<149>

96094606459575327752508385732998430439451617<44>
471016202673307634040226107058357315164887792708789395878207443000259702157273289091174488149526384423137<105>

Number: n
N=45262116631975069530214988322097457084135992088112775810219628391031114059290916589309807894009441142208323663733793069624514775937584093821166862529
  ( 149 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sun Sep 26 13:30:35 2010  prp44 factor: 96094606459575327752508385732998430439451617
Sun Sep 26 13:30:35 2010  prp105 factor: 471016202673307634040226107058357315164887792708789395878207443000259702157273289091174488149526384423137
Sun Sep 26 13:30:35 2010  elapsed time 03:23:43 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_8_1_190_9
n: 45262116631975069530214988322097457084135992088112775810219628391031114059290916589309807894009441142208323663733793069624514775937584093821166862529
m: 100000000000000000000000000000000000000
deg: 5
c5: 730
c0: 71
skew: 0.63
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6690030 hash collisions in 40609697 relations
Msieve: matrix is 1426024 x 1426249 (403.5 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:
snfs,192,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,56,56,2.5,2.5,100000
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.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

59153310727202212994475252351167286057924286105189582205570574889316493271646323150671289136170964800059972832324085391061102433288496307<137>

366523956355671874129507039010384399339<39>
161390025676248894619031522077227942750232711830937806052262159386512238871340527822289140501889113<99>

Number: n
N=59153310727202212994475252351167286057924286105189582205570574889316493271646323150671289136170964800059972832324085391061102433288496307
  ( 137 digits)
SNFS difficulty: 193 digits.
Divisors found:

Sat Sep 25 19:38:15 2010  prp39 factor: 366523956355671874129507039010384399339
Sat Sep 25 19:38:15 2010  prp99 factor: 161390025676248894619031522077227942750232711830937806052262159386512238871340527822289140501889113
Sat Sep 25 19:38:15 2010  elapsed time 05:58:16 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
name: KA_8_1_191_9
n: 59153310727202212994475252351167286057924286105189582205570574889316493271646323150671289136170964800059972832324085391061102433288496307
m: 100000000000000000000000000000000000000
deg: 5
c5: 7300
c0: 71
skew: 0.40
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 17250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4078370 hash collisions in 28542566 relations
Msieve: matrix is 1926960 x 1927176 (546.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,56,56,2.5,2.5,100000
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.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

156908034349642049944392623866044591399997295770631211619263884228102639227334620277782790881597414649434303555247435638522834672142948595551610820390731536502157366206580120507<177>

539306303757739067709520386122194699963<39>
290944187480008503753361597257435609869095574941470512565658904614134175315637778381697901031634201112946972718652382630672776881701842689<138>

Number: n
N=156908034349642049944392623866044591399997295770631211619263884228102639227334620277782790881597414649434303555247435638522834672142948595551610820390731536502157366206580120507
  ( 177 digits)
SNFS difficulty: 195 digits.
Divisors found:

Sat Sep 25 02:34:58 2010  prp39 factor: 539306303757739067709520386122194699963
Sat Sep 25 02:34:58 2010  prp138 factor: 290944187480008503753361597257435609869095574941470512565658904614134175315637778381697901031634201112946972718652382630672776881701842689
Sat Sep 25 02:34:58 2010  elapsed time 06:19:17 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
name: KA_8_1_193_9
n: 156908034349642049944392623866044591399997295770631211619263884228102639227334620277782790881597414649434303555247435638522834672142948595551610820390731536502157366206580120507
m: 100000000000000000000000000000000000000
deg: 5
c5: 730000
c0: 71
skew: 0.16
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4580245 hash collisions in 29682864 relations
Msieve: matrix is 2074670 x 2074895 (587.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,56,56,2.5,2.5,100000
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.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

29015998557351186567690250948253490357668786155346385693039296939905781273891112176438247490853381831925714372044795326483568266549318559060884436817267494522967159129287198481573839707<185>

3352284571152846830118245947046747189941725918269344568618460499291<67>
8655589327660395444439146878956179283514660603962780433777407376546134001432980859314049759960603858809145479882277377<118>

Number: n
N=29015998557351186567690250948253490357668786155346385693039296939905781273891112176438247490853381831925714372044795326483568266549318559060884436817267494522967159129287198481573839707
  ( 185 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Sep 24 09:20:06 2010  prp67 factor: 3352284571152846830118245947046747189941725918269344568618460499291
Fri Sep 24 09:20:06 2010  prp118 factor: 8655589327660395444439146878956179283514660603962780433777407376546134001432980859314049759960603858809145479882277377
Fri Sep 24 09:20:06 2010  elapsed time 11:57:46 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
name: KA_8_1_197_9
n: 29015998557351186567690250948253490357668786155346385693039296939905781273891112176438247490853381831925714372044795326483568266549318559060884436817267494522967159129287198481573839707
m: 1000000000000000000000000000000000000000
deg: 5
c5: 73000
c0: 71
skew: 0.25
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 32400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5182092 hash collisions in 30052528 relations
Msieve: matrix is 2642511 x 2642736 (749.9 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,15000000,15000000,28,28,56,56,2.5,2.5,100000
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.. 5661.05 BogoMIPS (lpj=2830525)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830468)
Total of 4 processors activated (22643.79 BogoMIPS).

81111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119<200>

317320846555790721689707265209124086042995871333587511<54>
255612299007434787227951883926880089100593501794351086681386748513524528985678312669078680409663386409205947285045497066341365429585108683464620329<147>

Number: n
N=81111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
  ( 200 digits)
SNFS difficulty: 200 digits.
Divisors found:

Wed Mar 24 11:14:18 2010  prp54 factor: 317320846555790721689707265209124086042995871333587511
Wed Mar 24 11:14:18 2010  prp147 factor: 255612299007434787227951883926880089100593501794351086681386748513524528985678312669078680409663386409205947285045497066341365429585108683464620329
Wed Mar 24 11:14:18 2010  elapsed time 11:11:21 (Msieve 1.42 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.087).
Factorization parameters were as follows:
name: KA_8_1_198_9
n: 81111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111119
m: 1000000000000000000000000000000000000000
deg: 5
c5: 730000
c0: 71
skew: 0.16
type: snfs
lss: 1
rlim: 15600000
alim: 15600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15600000/15600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5210909 hash collisions in 30564302 relations
Msieve: matrix is 2665825 x 2666050 (755.5 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:
snfs,200,5,0,0,0,0,0,0,0,0,15600000,15600000,28,28,56,56,2.6,2.6,100000
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.. 5660.79 BogoMIPS (lpj=2830396)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830451)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830457)
Calibrating delay using timer specific routine.. 5660.93 BogoMIPS (lpj=2830466)
Total of 4 processors activated (22643.54 BogoMIPS).

3308769910070880374997742244102348605422449652556063138730848241119325103448298209418414257246722321997275953758180595087822829094482382705001253445083425062568317752939135065148060767849231<190>

447671894326829448564608850680717918555680082719780939600674276780889576090670022566549014009<93>
7391060175994127193005645360194212262401418130306398450306786723050587416058222498307895327980359<97>

Number: n
N=3308769910070880374997742244102348605422449652556063138730848241119325103448298209418414257246722321997275953758180595087822829094482382705001253445083425062568317752939135065148060767849231
  ( 190 digits)
SNFS difficulty: 203 digits.
Divisors found:

Thu May 20 13:10:28 2021  p93 factor: 447671894326829448564608850680717918555680082719780939600674276780889576090670022566549014009
Thu May 20 13:10:28 2021  p97 factor: 7391060175994127193005645360194212262401418130306398450306786723050587416058222498307895327980359
Thu May 20 13:10:28 2021  elapsed time 02:52:44 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 73x10^202+71 = 81(201)9
#
n: 3308769910070880374997742244102348605422449652556063138730848241119325103448298209418414257246722321997275953758180595087822829094482382705001253445083425062568317752939135065148060767849231
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7300
c0: 71
skew: 0.40
# Murphy_E = 7.277e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7719079 hash collisions in 51409129 relations (45363447 unique)
Msieve: matrix is 2684003 x 2684228 (939.5 MB)

Sieving start time : 2021/05/19 20:11:45
Sieving end time  : 2021/05/20 10:16:57

Total sieving time: 14hrs 5min 12secs.

Total relation processing time: 2hrs 30min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 1sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17500000,17500000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118236] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.153532] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.152048] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

1295690908057830538687292299245766791601388249220164401286543680776247548379987648052826925663960772311617951211231547384377799242780806749899997267294392793482506031<166>

159939791385577334760587752844104775472243130199641784981<57>
8101116656668780876575863065882131544502357414675071298845318588082974181909984951550640054336724850745712051<109>

Mon Sep 26 02:23:54 2022  Msieve v. 1.53 (SVN unknown)
Mon Sep 26 02:23:54 2022  random seeds: 4ad3c73c 6e38142b
Mon Sep 26 02:23:54 2022  factoring 1295690908057830538687292299245766791601388249220164401286543680776247548379987648052826925663960772311617951211231547384377799242780806749899997267294392793482506031 (166 digits)
Mon Sep 26 02:23:55 2022  searching for 15-digit factors
Mon Sep 26 02:23:56 2022  commencing number field sieve (166-digit input)
Mon Sep 26 02:23:56 2022  R0: -10000000000000000000000000000000000000000
Mon Sep 26 02:23:56 2022  R1: 1
Mon Sep 26 02:23:56 2022  A0: 71
Mon Sep 26 02:23:56 2022  A1: 0
Mon Sep 26 02:23:56 2022  A2: 0
Mon Sep 26 02:23:56 2022  A3: 0
Mon Sep 26 02:23:56 2022  A4: 0
Mon Sep 26 02:23:56 2022  A5: 73000
Mon Sep 26 02:23:56 2022  skew 0.25, size 1.061e-14, alpha 0.370, combined = 5.313e-12 rroots = 1
Mon Sep 26 02:23:56 2022  
Mon Sep 26 02:23:56 2022  commencing square root phase
Mon Sep 26 02:23:56 2022  reading relations for dependency 1
Mon Sep 26 02:23:56 2022  read 2138503 cycles
Mon Sep 26 02:24:00 2022  cycles contain 6949590 unique relations
Mon Sep 26 02:25:24 2022  read 6949590 relations
Mon Sep 26 02:25:58 2022  multiplying 6949590 relations
Mon Sep 26 02:32:08 2022  multiply complete, coefficients have about 272.42 million bits
Mon Sep 26 02:32:09 2022  initial square root is modulo 77291
Mon Sep 26 02:39:54 2022  GCD is N, no factor found
Mon Sep 26 02:39:54 2022  reading relations for dependency 2
Mon Sep 26 02:39:55 2022  read 2138100 cycles
Mon Sep 26 02:39:58 2022  cycles contain 6951338 unique relations
Mon Sep 26 02:41:20 2022  read 6951338 relations
Mon Sep 26 02:41:55 2022  multiplying 6951338 relations
Mon Sep 26 02:48:04 2022  multiply complete, coefficients have about 272.48 million bits
Mon Sep 26 02:48:06 2022  initial square root is modulo 77521
Mon Sep 26 02:55:51 2022  GCD is N, no factor found
Mon Sep 26 02:55:51 2022  reading relations for dependency 3
Mon Sep 26 02:55:52 2022  read 2137527 cycles
Mon Sep 26 02:55:55 2022  cycles contain 6949556 unique relations
Mon Sep 26 02:57:17 2022  read 6949556 relations
Mon Sep 26 02:57:52 2022  multiplying 6949556 relations
Mon Sep 26 03:04:01 2022  multiply complete, coefficients have about 272.42 million bits
Mon Sep 26 03:04:03 2022  initial square root is modulo 77291
Mon Sep 26 03:11:48 2022  sqrtTime: 2872
Mon Sep 26 03:11:48 2022  p57 factor: 159939791385577334760587752844104775472243130199641784981
Mon Sep 26 03:11:48 2022  p109 factor: 8101116656668780876575863065882131544502357414675071298845318588082974181909984951550640054336724850745712051
Mon Sep 26 03:11:48 2022  elapsed time 00:47:54

51136913107536238696017073218444170806053791322538388389759000538347172991099254292281509568321279037563895643007492181474545406892801375109435073838896134184042869592818924119331573666551<188>

7932079114002829567554499652050352689673480968056208267885557296705537226732896541643<85>
6446848597016905258062984894860020042102594846823701876577280864985342396159876224172154187801408100357<103>

Number: n
N=51136913107536238696017073218444170806053791322538388389759000538347172991099254292281509568321279037563895643007492181474545406892801375109435073838896134184042869592818924119331573666551
  ( 188 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Aug 18 10:34:55 2021  p85 factor: 7932079114002829567554499652050352689673480968056208267885557296705537226732896541643
Wed Aug 18 10:34:55 2021  p103 factor: 6446848597016905258062984894860020042102594846823701876577280864985342396159876224172154187801408100357
Wed Aug 18 10:34:55 2021  elapsed time 02:16:30 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 73x10^204+71 = 81(203)9
#
n: 51136913107536238696017073218444170806053791322538388389759000538347172991099254292281509568321279037563895643007492181474545406892801375109435073838896134184042869592818924119331573666551
m: 10000000000000000000000000000000000
deg: 6
c6: 73
c0: 71
skew: 1.00
# Murphy_E = 7.061e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9662274 hash collisions in 66060099 relations (58154371 unique)
Msieve: matrix is 2385270 x 2385498 (822.5 MB)

Sieving start time : 2021/08/17 16:56:16
Sieving end time  : 2021/08/18 08:16:43

Total sieving time: 15hrs 20min 27secs.

Total relation processing time: 1hrs 52min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 27sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

114087423318336988045431624193116294023998383051271102341016499323033114919567617443007607559004910235408213364793580983753361416280544906654531018107274596563159<162>

25826887547530910130009019428989740770518498333130383741741018314811770176555217586753995300786714575998734297642866609289828765314268288698989128886844739809172985740415269408357758073492567661351<197>

63650975281813433778429558897810103226238356529771454856605256339774859437471048145971871044231<95>
405757923318266161309920541430510243381077475024360492701133440637522474759537080548993846451924007521<102>

Number: n
N=25826887547530910130009019428989740770518498333130383741741018314811770176555217586753995300786714575998734297642866609289828765314268288698989128886844739809172985740415269408357758073492567661351
  ( 197 digits)
SNFS difficulty: 209 digits.
Divisors found:

Mon Jun  7 10:11:15 2021  p95 factor: 63650975281813433778429558897810103226238356529771454856605256339774859437471048145971871044231
Mon Jun  7 10:11:15 2021  p102 factor: 405757923318266161309920541430510243381077475024360492701133440637522474759537080548993846451924007521
Mon Jun  7 10:11:15 2021  elapsed time 05:33:53 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 73x10^208+71 = 81(207)9
#
n: 25826887547530910130009019428989740770518498333130383741741018314811770176555217586753995300786714575998734297642866609289828765314268288698989128886844739809172985740415269408357758073492567661351
m: 100000000000000000000000000000000000000000
deg: 5
c5: 73000
c0: 71
skew: 0.25
# Murphy_E = 3.686e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 59800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9522015 hash collisions in 56099395 relations (48090913 unique)
Msieve: matrix is 3715465 x 3715690 (1303.0 MB)

Sieving start time : 2021/06/06 04:33:00
Sieving end time  : 2021/06/07 04:36:00

Total sieving time: 24hrs 3min 0secs.

Total relation processing time: 5hrs 8min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 52sec.

Prototype def-par.txt line would be:
snfs,209,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117662] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241088K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486148K reserved, 0K cma-reserved)
[    0.152608] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.07 BogoMIPS (lpj=12798140)
[    0.150211] smpboot: Total of 16 processors activated (102385.12 BogoMIPS)

76734892265529098249576894046999247818415729630519435479779769871981330807464720529901366324986122796966085271122922436584310130589958953912749603803781002379206273566534150887<176>

1634275098158966952244595202015439973817479<43>
46953473348502950568771104124766749042713349311785827826468588935980074244401741286038623025750964952662741167769528746526408357115553<134>

#
# N = 73x10^209+71 = 81(208)9
#
n: 76734892265529098249576894046999247818415729630519435479779769871981330807464720529901366324986122796966085271122922436584310130589958953912749603803781002379206273566534150887
m: 500000000000000000000000000000000000000000
deg: 5
c5: 1168
c0: 355
skew: 0.79
# Murphy_E = 3.629e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 76734892265529098249576894046999247818415729630519435479779769871981330807464720529901366324986122796966085271122922436584310130589958953912749603803781002379206273566534150887 (176 digits)
Using B1=39880000, B2=192393080896, polynomial Dickson(12), sigma=1:3851850900
Step 1 took 106603ms
Step 2 took 32563ms
********** Factor found in step 2: 1634275098158966952244595202015439973817479
Found prime factor of 43 digits: 1634275098158966952244595202015439973817479
Prime cofactor 46953473348502950568771104124766749042713349311785827826468588935980074244401741286038623025750964952662741167769528746526408357115553 has 134 digits

34583208383727700344552978869659677542375089478129910637937021608820328862624600220479797010779064936369265286844026413991323878378909738299861051301110310486149898784897655021600292962411842427532781802221<206>

232586450790051429503727527786658809022841<42>
148689694804900261435988892509679074524672603890222244730943538446300992786432947303886353200691251950883351320538850072998602765400037363496706132191928732400348181<165>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2744833427
Step 1 took 191382ms
Step 2 took 66176ms
********** Factor found in step 2: 232586450790051429503727527786658809022841
Found probable prime factor of 42 digits: 232586450790051429503727527786658809022841
Probable prime cofactor 148689694804900261435988892509679074524672603890222244730943538446300992786432947303886353200691251950883351320538850072998602765400037363496706132191928732400348181 has 165 digits

30061997251680631351584641067813738484910826072442057913124544840048539767119838830139581355727511965376822759814671992115343125767123894887<140>

13663049011549680367274455192111<32>
2200240753456168818403181688961567688244740542413528405806723271968970023750685846919754379690387018660339017<109>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=327971039
Step 1 took 6849ms
Step 2 took 5023ms
********** Factor found in step 2: 13663049011549680367274455192111
Found probable prime factor of 32 digits: 13663049011549680367274455192111
Probable prime cofactor 2200240753456168818403181688961567688244740542413528405806723271968970023750685846919754379690387018660339017 has 109 digits

GMP-ECM 6.3

92358168451149912016111447864599162540288632671568280270499029393948905375392603800382146353868350726263100412033846808153177408047101595903699359506523635990567<161>

24630633913506261359519381291856334524711585600913469799121688310574635479676284046525488434367159447161190078268908964459697974977908456908530140294932626376799741086615657965217649891194879420799<197>

3105892009439617495848294984893431707668205404865213344289388845729057102183263515421635469798533504686243311014100541962794971663933448328939504730531101622319924997<166>

363898638177276586080465395246193944981186285842843924746806125313227517581975290902538817492733613657306003675791072870464274775637847801702031172221415973140479458845305148165848338749037130834399013<201>

33364967299492916166529447526196465331<38>

10906608566728826105057954494114497932743438696193878406232509869239462381306200532636418804852903207174157984155728649153682805538415974378285700852845980605044423<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2426130124
Step 1 took 17413ms
********** Factor found in step 1: 33364967299492916166529447526196465331
Found probable prime factor of 38 digits: 33364967299492916166529447526196465331
Composite cofactor 

895988060038564308008783137750186255052206646758548401152265192827676948436500835232705282524673424625924984933899401406333039989297238515703724978306042518929281994444874027760901290345544545948845218676318790097<213>

552737517362766273145704797<27>

1621000984904232259576398393045964392934997014854201672121450803559029624983860058847185860188064048919018176655240944267425335363187611398651507836213595762851714305846828483150884144901<187>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1665061202
Step 1 took 8236ms
Step 2 took 3616ms
********** Factor found in step 2: 552737517362766273145704797
Found probable prime factor of 27 digits: 552737517362766273145704797
Composite cofactor 1621000984904232259576398393045964392934997014854201672121450803559029624983860058847185860188064048919018176655240944267425335363187611398651507836213595762851714305846828483150884144901 has 187 digits

8898014571326872488216021000302325045594502246471836501374775162687824146717763349632376817695603999414146147808472188586739658147907174076547152664343233154041330847394117014624172369250494507153317<199>

583548255337050639477787930465511211528416611975676626510587100891363415786629997600562054587570007374693282796418272754245438291497680138999828744431216260526312207230346581262984421530532589764171<198>

1892857644646842871933031519908648453329980045425137207389<58>
308289562602540718808002648111617889043396919162188892911951787436939240886013284576115204321190291364112843700261827848518857333168362084039<141>

Number: 81119_219
N = 583548255337050639477787930465511211528416611975676626510587100891363415786629997600562054587570007374693282796418272754245438291497680138999828744431216260526312207230346581262984421530532589764171 (198 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1892857644646842871933031519908648453329980045425137207389 (pp58)
r2=308289562602540718808002648111617889043396919162188892911951787436939240886013284576115204321190291364112843700261827848518857333168362084039 (pp141)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 108.83 hours.
Factorization parameters were as follows:
n: 583548255337050639477787930465511211528416611975676626510587100891363415786629997600562054587570007374693282796418272754245438291497680138999828744431216260526312207230346581262984421530532589764171
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 73
c0: 710
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: 9989666 relations
Pruned matrix : 8453918 x 8454143
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 47.59 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 60.55 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 108.83 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

4771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183007<220>

153574144507725141184644968721793<33>
31068002008797482021990941048726398288529276547998900509874983220580782653580694003698545534656335343512265499762007336929153692378808561773165597409955514739063272129740104780998553653599<188>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1676103107
Step 1 took 8043ms
Step 2 took 3619ms
********** Factor found in step 2: 153574144507725141184644968721793
Found probable prime factor of 33 digits: 153574144507725141184644968721793
Probable prime cofactor 31068002008797482021990941048726398288529276547998900509874983220580782653580694003698545534656335343512265499762007336929153692378808561773165597409955514739063272129740104780998553653599 has 188 digits

3488377894734596170175004508986887533455160924009510762286067168105778669606874113752914925415396734502704677755991555353360029119975523643465828132521869358795689409086536603152656041863824107<193>

153939578474735470986397126270975838828394117929453<51>
477419478540240412205741237147806914721794245122415199432267073<63>
47464957754220719841690606080240173500740602813766132731652857212141647256106103<80>

Number: 81119_221
N = 3488377894734596170175004508986887533455160924009510762286067168105778669606874113752914925415396734502704677755991555353360029119975523643465828132521869358795689409086536603152656041863824107 (193 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=153939578474735470986397126270975838828394117929453 (pp51)
r2=477419478540240412205741237147806914721794245122415199432267073 (pp63)
r3=47464957754220719841690606080240173500740602813766132731652857212141647256106103 (pp80)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.71 hours.
Factorization parameters were as follows:
n: 3488377894734596170175004508986887533455160924009510762286067168105778669606874113752914925415396734502704677755991555353360029119975523643465828132521869358795689409086536603152656041863824107
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 730
c0: 71
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36251320
Relations: 10500008 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 24.60 hours.
Total relation processing time: 0.32 hours.
Pruned matrix : 8961751 x 8961976
Matrix solve time: 29.24 hours.
time per square root: 0.56 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 54.71 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

73883913047495435421132975839109798042390741708369925305061310586301747977960671097269111557268397905295641768830435902705721953935529872904806066873<149>

514249715672073859794526521886223319724173480502323152759088545591<66>
143673220997188922577118402337989402640026256542427142425127212190734735626923081103<84>

The polynomial was originally selected by Erik Branger.   

Fri Mar 06 03:40:01 2015  Msieve v. 1.53 (SVN 967)
Fri Mar 06 03:40:01 2015  random seeds: 0c120a58 90aa1b7c
Fri Mar 06 03:40:01 2015  factoring 73883913047495435421132975839109798042390741708369925305061310586301747977960671097269111557268397905295641768830435902705721953935529872904806066873 (149 digits)
Fri Mar 06 03:40:02 2015  searching for 15-digit factors
Fri Mar 06 03:40:12 2015  commencing number field sieve (149-digit input)
Fri Mar 06 03:40:12 2015  R0: -124001897128749790470447887227
Fri Mar 06 03:40:12 2015  R1: 20163471590362727
Fri Mar 06 03:40:12 2015  A0: 525600437493374949958352217614038399200
Fri Mar 06 03:40:12 2015  A1: 73813788792212940544892538128820
Fri Mar 06 03:40:12 2015  A2: -41798670879673357710200692
Fri Mar 06 03:40:12 2015  A3: -576624574672003163
Fri Mar 06 03:40:12 2015  A4: 274769671854
Fri Mar 06 03:40:12 2015  A5: 2520
Fri Mar 06 03:40:12 2015  skew 13068236.32, size 1.738e-014, alpha -8.028, combined = 5.970e-012 rroots = 5

gnfs-lasieve4I14e for 19 days on 4 threads
Fri Mar 06 13:51:32 2015 Found 48040005 relations, 111.5% of the estimated minimum (43067170).
Fri Mar 06 13:58:09 2015  commencing relation filtering
Fri Mar 06 13:58:09 2015  estimated available RAM is 2048.0 MB
Fri Mar 06 13:58:09 2015  commencing duplicate removal, pass 1
Fri Mar 06 14:12:58 2015  skipped 3 relations with composite factors
Fri Mar 06 14:12:58 2015  found 6453933 hash collisions in 48039988 relations
Fri Mar 06 14:14:47 2015  added 1 free relations
Fri Mar 06 14:14:47 2015  commencing duplicate removal, pass 2
Fri Mar 06 14:17:01 2015  found 5445506 duplicates and 42594483 unique relations
Fri Mar 06 14:17:01 2015  memory use: 197.2 MB
Fri Mar 06 14:17:01 2015  reading ideals above 32702464
Fri Mar 06 14:17:01 2015  commencing singleton removal, initial pass
Fri Mar 06 14:26:26 2015  memory use: 753.0 MB
Fri Mar 06 14:26:26 2015  reading all ideals from disk
Fri Mar 06 14:26:30 2015  memory use: 727.0 MB
Fri Mar 06 14:26:35 2015  commencing in-memory singleton removal
Fri Mar 06 14:26:40 2015  begin with 42594482 relations and 39263941 unique ideals
Fri Mar 06 14:27:31 2015  reduce to 21936929 relations and 15932509 ideals in 18 passes
Fri Mar 06 14:27:31 2015  max relations containing the same ideal: 46
Fri Mar 06 14:27:42 2015  reading ideals above 720000
Fri Mar 06 14:27:43 2015  commencing singleton removal, initial pass
Fri Mar 06 14:33:51 2015  memory use: 376.5 MB
Fri Mar 06 14:33:52 2015  reading all ideals from disk
Fri Mar 06 14:33:56 2015  memory use: 765.2 MB
Fri Mar 06 14:34:02 2015  keeping 19832003 ideals with weight <= 200, target excess is 128219
Fri Mar 06 14:34:08 2015  commencing in-memory singleton removal
Fri Mar 06 14:34:14 2015  begin with 21936934 relations and 19832003 unique ideals
Fri Mar 06 14:35:02 2015  reduce to 21915514 relations and 19810575 ideals in 9 passes
Fri Mar 06 14:35:02 2015  max relations containing the same ideal: 200
Fri Mar 06 14:35:28 2015  removing 2736625 relations and 2336625 ideals in 400000 cliques
Fri Mar 06 14:35:30 2015  commencing in-memory singleton removal
Fri Mar 06 14:35:35 2015  begin with 19178889 relations and 19810575 unique ideals
Fri Mar 06 14:36:21 2015  reduce to 18914122 relations and 17203040 ideals in 10 passes
Fri Mar 06 14:36:21 2015  max relations containing the same ideal: 190
Fri Mar 06 14:36:44 2015  removing 2079583 relations and 1679583 ideals in 400000 cliques
Fri Mar 06 14:36:45 2015  commencing in-memory singleton removal
Fri Mar 06 14:36:49 2015  begin with 16834539 relations and 17203040 unique ideals
Fri Mar 06 14:37:26 2015  reduce to 16654787 relations and 15339867 ideals in 9 passes
Fri Mar 06 14:37:26 2015  max relations containing the same ideal: 172
Fri Mar 06 14:37:46 2015  removing 1881699 relations and 1481699 ideals in 400000 cliques
Fri Mar 06 14:37:48 2015  commencing in-memory singleton removal
Fri Mar 06 14:37:52 2015  begin with 14773088 relations and 15339867 unique ideals
Fri Mar 06 14:38:26 2015  reduce to 14607065 relations and 13688403 ideals in 10 passes
Fri Mar 06 14:38:26 2015  max relations containing the same ideal: 156
Fri Mar 06 14:38:44 2015  removing 1785548 relations and 1385548 ideals in 400000 cliques
Fri Mar 06 14:38:45 2015  commencing in-memory singleton removal
Fri Mar 06 14:38:49 2015  begin with 12821517 relations and 13688403 unique ideals
Fri Mar 06 14:39:18 2015  reduce to 12649944 relations and 12127156 ideals in 10 passes
Fri Mar 06 14:39:18 2015  max relations containing the same ideal: 142
Fri Mar 06 14:39:33 2015  removing 1643254 relations and 1269201 ideals in 374053 cliques
Fri Mar 06 14:39:34 2015  commencing in-memory singleton removal
Fri Mar 06 14:39:37 2015  begin with 11006690 relations and 12127156 unique ideals
Fri Mar 06 14:40:00 2015  reduce to 10841518 relations and 10688538 ideals in 9 passes
Fri Mar 06 14:40:00 2015  max relations containing the same ideal: 127
Fri Mar 06 14:40:16 2015  relations with 0 large ideals: 450
Fri Mar 06 14:40:16 2015  relations with 1 large ideals: 345
Fri Mar 06 14:40:16 2015  relations with 2 large ideals: 7599
Fri Mar 06 14:40:16 2015  relations with 3 large ideals: 76689
Fri Mar 06 14:40:16 2015  relations with 4 large ideals: 410014
Fri Mar 06 14:40:16 2015  relations with 5 large ideals: 1297357
Fri Mar 06 14:40:16 2015  relations with 6 large ideals: 2533726
Fri Mar 06 14:40:16 2015  relations with 7+ large ideals: 6515338
Fri Mar 06 14:40:16 2015  commencing 2-way merge
Fri Mar 06 14:40:35 2015  reduce to 6652196 relation sets and 6499216 unique ideals
Fri Mar 06 14:40:35 2015  commencing full merge
Fri Mar 06 14:43:22 2015  memory use: 707.1 MB
Fri Mar 06 14:43:23 2015  found 3543143 cycles, need 3519416
Fri Mar 06 14:43:24 2015  weight of 3519416 cycles is about 246588747 (70.07/cycle)
Fri Mar 06 14:43:24 2015  distribution of cycle lengths:
Fri Mar 06 14:43:24 2015  1 relations: 470391
Fri Mar 06 14:43:24 2015  2 relations: 431260
Fri Mar 06 14:43:24 2015  3 relations: 421474
Fri Mar 06 14:43:24 2015  4 relations: 385524
Fri Mar 06 14:43:24 2015  5 relations: 353304
Fri Mar 06 14:43:24 2015  6 relations: 309284
Fri Mar 06 14:43:24 2015  7 relations: 267318
Fri Mar 06 14:43:24 2015  8 relations: 221516
Fri Mar 06 14:43:24 2015  9 relations: 178170
Fri Mar 06 14:43:24 2015  10+ relations: 481175
Fri Mar 06 14:43:24 2015  heaviest cycle: 20 relations
Fri Mar 06 14:43:26 2015  commencing cycle optimization
Fri Mar 06 14:43:34 2015  start with 18804600 relations
Fri Mar 06 14:44:17 2015  pruned 440485 relations
Fri Mar 06 14:44:17 2015  memory use: 504.7 MB
Fri Mar 06 14:44:17 2015  distribution of cycle lengths:
Fri Mar 06 14:44:17 2015  1 relations: 470391
Fri Mar 06 14:44:17 2015  2 relations: 440540
Fri Mar 06 14:44:17 2015  3 relations: 436204
Fri Mar 06 14:44:17 2015  4 relations: 393859
Fri Mar 06 14:44:17 2015  5 relations: 361387
Fri Mar 06 14:44:17 2015  6 relations: 313850
Fri Mar 06 14:44:17 2015  7 relations: 269851
Fri Mar 06 14:44:17 2015  8 relations: 220597
Fri Mar 06 14:44:17 2015  9 relations: 174821
Fri Mar 06 14:44:17 2015  10+ relations: 437916
Fri Mar 06 14:44:17 2015  heaviest cycle: 20 relations
Fri Mar 06 14:44:42 2015  RelProcTime: 2793
Fri Mar 06 14:44:42 2015  elapsed time 00:46:44
Fri Mar 06 15:35:17 2015  commencing linear algebra
Fri Mar 06 15:35:19 2015  read 3518106 cycles
Fri Mar 06 15:35:28 2015  cycles contain 10689334 unique relations
Fri Mar 06 15:39:00 2015  read 10689334 relations
Fri Mar 06 15:39:28 2015  using 20 quadratic characters above 536870574
Fri Mar 06 15:40:29 2015  building initial matrix
Fri Mar 06 15:43:32 2015  memory use: 1309.6 MB
Fri Mar 06 15:43:51 2015  read 3518106 cycles
Fri Mar 06 15:43:52 2015  matrix is 3517931 x 3518106 (1013.7 MB) with weight 333252053 (94.72/col)
Fri Mar 06 15:43:52 2015  sparse part has weight 237602331 (67.54/col)
Fri Mar 06 15:44:28 2015  filtering completed in 1 passes
Fri Mar 06 15:44:30 2015  matrix is 3517931 x 3518106 (1013.7 MB) with weight 333252053 (94.72/col)
Fri Mar 06 15:44:30 2015  sparse part has weight 237602331 (67.54/col)
Fri Mar 06 15:45:57 2015  matrix starts at (0, 0)
Fri Mar 06 15:45:58 2015  matrix is 3517931 x 3518106 (1013.7 MB) with weight 333252053 (94.72/col)
Fri Mar 06 15:45:58 2015  sparse part has weight 237602331 (67.54/col)
Fri Mar 06 15:45:58 2015  saving the first 48 matrix rows for later
Fri Mar 06 15:46:00 2015  matrix includes 64 packed rows
Fri Mar 06 15:46:00 2015  matrix is 3517883 x 3518106 (970.5 MB) with weight 266107569 (75.64/col)
Fri Mar 06 15:46:00 2015  sparse part has weight 233293227 (66.31/col)
Fri Mar 06 15:46:01 2015  using block size 8192 and superblock size 393216 for processor cache size 4096 kB
Fri Mar 06 15:46:31 2015  commencing Lanczos iteration (4 threads)
Fri Mar 06 15:46:31 2015  memory use: 822.3 MB
Fri Mar 06 15:47:12 2015  linear algebra at 0.0%, ETA 25h 2m
Fri Mar 06 15:47:26 2015  checkpointing every 140000 dimensions
Sat Mar 07 17:27:47 2015  lanczos halted after 55635 iterations (dim = 3517881)
Sat Mar 07 17:27:59 2015  recovered 28 nontrivial dependencies
Sat Mar 07 17:28:01 2015  BLanczosTime: 93164
Sat Mar 07 17:28:01 2015  elapsed time 25:52:55
Sat Mar 07 17:31:15 2015  commencing square root phase
Sat Mar 07 17:31:15 2015  reading relations for dependency 1
Sat Mar 07 17:31:17 2015  read 1758615 cycles
Sat Mar 07 17:31:22 2015  cycles contain 5345588 unique relations
Sat Mar 07 17:33:11 2015  read 5345588 relations
Sat Mar 07 17:34:32 2015  multiplying 5345588 relations
Sat Mar 07 18:35:50 2015  multiply complete, coefficients have about 262.21 million bits
Sat Mar 07 18:36:12 2015  initial square root is modulo 2569365917
Sat Mar 07 19:57:28 2015  sqrtTime: 8773
Sat Mar 07 19:57:28 2015  prp66 factor: 514249715672073859794526521886223319724173480502323152759088545591
Sat Mar 07 19:57:28 2015  prp84 factor: 143673220997188922577118402337989402640026256542427142425127212190734735626923081103
Sat Mar 07 19:57:28 2015  elapsed time 02:26:24

factMsieve.py, gnfs-lasieve4I14e, Msieve v. 1.53 (SVN 967)

Windows XP, SP3, Intel Xeon CPU 5150, 4 cores @ 2.66 GHz, 3.25 GB of RAM

1591050169780434366119021782976545934087944864459335540320610367298204637010149935122704142304709174153745336617407887201763356507385011254256884975040982732849567249725770068847144722821785076127<196>

49761417859577368779822767552828902522154055896387184730743012951601908657123381049761417859577368779822767552828902522154055896387184730743012951601908657123381049761417859577368779822767552828902522154055896387184730743013<224>

77689090610688710373358160127303433331549<41>

640520019843442932505874698863733328094878409737361607796119159115279259361287943619562679071885899517989498394073290814684594542691069828144536299162464353188078830416180415452439337<183>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=170158555
Step 1 took 621645ms
Step 2 took 175885ms
********** Factor found in step 2: 77689090610688710373358160127303433331549
Found probable prime factor of 41 digits: 77689090610688710373358160127303433331549
Composite cofactor 640520019843442932505874698863733328094878409737361607796119159115279259361287943619562679071885899517989498394073290814684594542691069828144536299162464353188078830416180415452439337 has 183 digits

1450436784046930570347636281780452788663706068095462506047616330235143564820966722041315602436241377407415364309104734586937160206020241613774172164670721758773899053393896041536350808380674291529057041<202>

1156520703677932561651070836728448438189307307047783609808380614461870755940925155444515921361200691587029770405206515286038384148957397689553214277696673465902194669716586268080410889961599512854050544848747<208>

48785544410324464562796921889878804329914871193310059551740458019696901202600063005877200721162941029006343564259848774543624409058335667557387784046725095362624000604653610954986643182790779327<194>

205811790726118775814123056096708126687585478008427022808252136082930714391287860344047472849656544400416179668076277231835656148195182739583727920174215061643660561904705936037711253260290902475953077453292706614752106257123<225>

2019504881980615442408252747323823906995900701559<49>

101912004552457573576522098316186508353856361793501395587516179878762363321254922686911599249087503321383707554312991223126442913011531999649462449244684585648713280439893950197<177>

GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 205811790726118775814123056096708126687585478008427022808252136082930714391287860344047472849656544400416179668076277231835656148195182739583727920174215061643660561904705936037711253260290902475953077453292706614752106257123 (225 digits)
[Thu Dec 08 12:56:21 2011]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=3916377619
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 518001ms
Using 27 small primes for NTT
Estimated memory usage: 784M
Initializing tables of differences for F took 343ms
Computing roots of F took 16302ms
Building F from its roots took 12246ms
Computing 1/F took 5195ms
Initializing table of differences for G took 281ms
Computing roots of G took 13666ms
Building G from its roots took 12043ms
Computing roots of G took 13697ms
Building G from its roots took 11950ms
Computing G * H took 2824ms
Reducing  G * H mod F took 2699ms
Computing roots of G took 13650ms
Building G from its roots took 11856ms
Computing G * H took 2855ms
Reducing  G * H mod F took 2683ms
Computing roots of G took 13650ms
Building G from its roots took 12028ms
Computing G * H took 2824ms
Reducing  G * H mod F took 2699ms
Computing polyeval(F,G) took 25288ms
Computing product of all F(g_i) took 94ms
Step 2 took 179448ms
********** Factor found in step 2: 2019504881980615442408252747323823906995900701559
Found probable prime factor of 49 digits: 2019504881980615442408252747323823906995900701559
Composite cofactor 101912004552457573576522098316186508353856361793501395587516179878762363321254922686911599249087503321383707554312991223126442913011531999649462449244684585648713280439893950197 has 177 digits

GMP-ECM

8121228016759516059372987793655549886374421394465569669566529420028487044609657891018438451417006714812850327276618227507299947467138927533114346294023200066528627386779824568483525691836647812424742148827689<208>

10443506585516678694353966434403003280481334801246316807629465784174603771692106479445601566846052062529450908376570040558927794337787750868277264886649389971321670527774242537100267247253706188388844364704501186186722566791679<227>

58352592304668645452471583794523306402220315369816085624098055621289550949119905655554341030278544726881390750080191709438918986720353571139988454942809923626561263864404970484076173116205195058408098809234947348442774212919194089<230>

283283285134599695324489696609340732911<39>
205986711418370119700727781351409819649347810930783139943107704213306176367156105081703474372820302077997710807258735825012107451865038083464669148939903997524388118956489490002432708444056999<192>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4253215987
Step 1 took 425070ms
Step 2 took 133234ms
********** Factor found in step 2: 283283285134599695324489696609340732911
Found probable prime factor of 39 digits: 283283285134599695324489696609340732911
Probable prime cofactor 205986711418370119700727781351409819649347810930783139943107704213306176367156105081703474372820302077997710807258735825012107451865038083464669148939903997524388118956489490002432708444056999 has 192 digits

823158382890900134373083463865808946237972763718924596881918188600953345288332671659751329087046213593130867086610986686867145276343181347425955575992789312034173149063145301448873305165298963534260097227106473953840001452059<225>

1456487368445387565310585704433<31>

565166853296857323371548261312178490248128736103418767162794529129252327319384248656209718045152862389239990123589723998738487702073847357383054519569683333375436147285681150424624213251633259723<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3710569134
Step 1 took 115390ms
Step 2 took 39633ms
********** Factor found in step 2: 1456487368445387565310585704433
Found probable prime factor of 31 digits: 1456487368445387565310585704433
Composite cofactor 565166853296857323371548261312178490248128736103418767162794529129252327319384248656209718045152862389239990123589723998738487702073847357383054519569683333375436147285681150424624213251633259723 has 195 digits

3043269164308166954322232258911748753796531855713395740023764383337825829124717532221267435440703562422948957086458284487412397591576127920003190565393137236326353496309310438897533049039113628061193001<202>

101503315400987099450210655718254783539703115962258504083872797000758416533598311029984768171380557410030762044050316244802073435947532309864551564509550610171833083039240380247452475958498811741120255661<204>

380067536207154385323552059614019239486110286727060749879217286690633031158277476788771230297384468787809698236165912395115009566741550785078133627642413359268445732742347052802464558071<186>

30786729339642233542303872840616346735944079703536245234904360475523661615371115442178072692206987047968339251715499547577613414733966345857744388316732337612660198983985919044123177024075997290558550909120413803148839227<221>

182252105028679566352313270921425228783188894984712728393131711932811858397614764038977800990981329012478501384526563659412603391072957160267269535655863641622935106768045750556139486324047526809447986431663109061501243320179<225>

364591649716863078605617563872673979<36>

499880085488008501631204955959372249632756824551462321633322671524074909864594574522146429046349848317225817744252794145549067005091578299411612520642703521021794220682816800081502054597801<189>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=275747159
Step 1 took 8133ms
Step 2 took 3693ms
********** Factor found in step 2: 364591649716863078605617563872673979
Found probable prime factor of 36 digits: 364591649716863078605617563872673979
Composite cofactor 499880085488008501631204955959372249632756824551462321633322671524074909864594574522146429046349848317225817744252794145549067005091578299411612520642703521021794220682816800081502054597801 has 189 digits

21964128666467485116294043719447671366087565866059132850182678366025284021758327789647433611916713227610654828903950865341537687586446146814855333116099074467723412046151147505371432972850832575871772815088213055658606433203022865861455692184471<245>

36517997895262680211942455839360428787327834523244781190409693417400765967507085867269683863692220710977405214159798656767988102936532269929234623284085561569019291157647046346792016445305068603061018623028359526992878440139222615866229671293497<245>

1483240014369035198518789425703014375349<40>
24620423897340243405387762055493633626947480767613720193686416436904105744370182256952341851373688970455913886022602371183628209812748418535784884286398157602682929374808039017713564584689360208260300600053<206>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2331442533
Step 1 took 699810ms
Step 2 took 183648ms
********** Factor found in step 2: 1483240014369035198518789425703014375349
Found probable prime factor of 40 digits: 1483240014369035198518789425703014375349
Probable prime cofactor 24620423897340243405387762055493633626947480767613720193686416436904105744370182256952341851373688970455913886022602371183628209812748418535784884286398157602682929374808039017713564584689360208260300600053 has 206 digits

349042315231769045164556196623172294966216417200581866333211738613543112871999795763041057628566157279779452317545744285623937757631494257418628918653716770679930210943140470511471321714101172697197456381675541<210>