388856326937246800236647155286316443867200551015387592401267281897787797733872823777626887<90>

20563788999704702751348942468709<32>
18909760596300166302687932434463976442247508762236338683643<59>

03/15/09 06:39:02 v1.06 @ LAPPIE, starting SIQS on c90: 388856326937246800236647155286316443867200551015387592401267281897787797733872823777626887
03/15/09 06:39:03 v1.06 @ LAPPIE, ==== sieve params ====
03/15/09 06:39:03 v1.06 @ LAPPIE, n = 90 digits, 301 bits
03/15/09 06:39:03 v1.06 @ LAPPIE, factor base: 65244 primes (max prime = 1730863)
03/15/09 06:39:03 v1.06 @ LAPPIE, single large prime cutoff: 190394930 (110 * pmax)
03/15/09 06:39:03 v1.06 @ LAPPIE, double large prime range from 43 to 50 bits
03/15/09 06:39:03 v1.06 @ LAPPIE, double large prime cutoff: 800533817759177
03/15/09 06:39:03 v1.06 @ LAPPIE, using 10 large prime slices of factor base
03/15/09 06:39:03 v1.06 @ LAPPIE, buckets hold 1024 elements
03/15/09 06:39:03 v1.06 @ LAPPIE, sieve interval: 18 blocks of size 32768
03/15/09 06:39:03 v1.06 @ LAPPIE, polynomial A has ~ 12 factors
03/15/09 06:39:03 v1.06 @ LAPPIE, using multiplier of 7
03/15/09 06:39:03 v1.06 @ LAPPIE, using small prime variation correction of 19 bits
03/15/09 06:39:03 v1.06 @ LAPPIE, trial factoring cutoff at 100 bits
03/15/09 06:39:03 v1.06 @ LAPPIE, ==== sieving started ====
03/15/09 07:56:06 v1.06 @ LAPPIE, sieve time = 1510.8310, relation time = 761.0720, poly_time = 2338.4970
03/15/09 07:56:06 v1.06 @ LAPPIE, 65309 relations found: 19538 full + 45771 from 717255 partial, using 573435 polys (280 A polys)
03/15/09 07:56:06 v1.06 @ LAPPIE, trial division touched 17037504 sieve locations out of 676451450880
03/15/09 07:56:06 v1.06 @ LAPPIE, ==== post processing stage (msieve-1.38) ====
03/15/09 07:56:07 v1.06 @ LAPPIE, begin with 736793 relations
03/15/09 07:56:07 v1.06 @ LAPPIE, reduce to 146259 relations in 9 passes
03/15/09 07:56:10 v1.06 @ LAPPIE, recovered 146259 relations
03/15/09 07:56:10 v1.06 @ LAPPIE, recovered 129211 polynomials
03/15/09 07:56:10 v1.06 @ LAPPIE, attempting to build 65309 cycles
03/15/09 07:56:10 v1.06 @ LAPPIE, found 65309 cycles in 5 passes
03/15/09 07:56:10 v1.06 @ LAPPIE, distribution of cycle lengths:
03/15/09 07:56:10 v1.06 @ LAPPIE,    length 1 : 19538
03/15/09 07:56:10 v1.06 @ LAPPIE,    length 2 : 15375
03/15/09 07:56:10 v1.06 @ LAPPIE,    length 3 : 12259
03/15/09 07:56:10 v1.06 @ LAPPIE,    length 4 : 7991
03/15/09 07:56:10 v1.06 @ LAPPIE,    length 5 : 4760
03/15/09 07:56:10 v1.06 @ LAPPIE,    length 6 : 2682
03/15/09 07:56:10 v1.06 @ LAPPIE,    length 7 : 1421
03/15/09 07:56:10 v1.06 @ LAPPIE,    length 9+: 1283
03/15/09 07:56:10 v1.06 @ LAPPIE, largest cycle: 16 relations
03/15/09 07:56:10 v1.06 @ LAPPIE, matrix is 65244 x 65309 (14.4 MB) with weight 3502635 (53.63/col)
03/15/09 07:56:10 v1.06 @ LAPPIE, sparse part has weight 3502635 (53.63/col)
03/15/09 07:56:11 v1.06 @ LAPPIE, filtering completed in 3 passes
03/15/09 07:56:11 v1.06 @ LAPPIE, matrix is 60115 x 60179 (13.4 MB) with weight 3274208 (54.41/col)
03/15/09 07:56:11 v1.06 @ LAPPIE, sparse part has weight 3274208 (54.41/col)
03/15/09 07:56:11 v1.06 @ LAPPIE, saving the first 48 matrix rows for later
03/15/09 07:56:11 v1.06 @ LAPPIE, matrix is 60067 x 60179 (8.5 MB) with weight 2518371 (41.85/col)
03/15/09 07:56:11 v1.06 @ LAPPIE, sparse part has weight 1869106 (31.06/col)
03/15/09 07:56:11 v1.06 @ LAPPIE, matrix includes 64 packed rows
03/15/09 07:56:11 v1.06 @ LAPPIE, using block size 24071 for processor cache size 3072 kB
03/15/09 07:56:11 v1.06 @ LAPPIE, commencing Lanczos iteration
03/15/09 07:56:11 v1.06 @ LAPPIE, memory use: 8.6 MB
03/15/09 07:56:30 v1.06 @ LAPPIE, lanczos halted after 952 iterations (dim = 60065)
03/15/09 07:56:30 v1.06 @ LAPPIE, recovered 17 nontrivial dependencies
03/15/09 07:56:32 v1.06 @ LAPPIE, prp32 = 20563788999704702751348942468709
03/15/09 07:56:34 v1.06 @ LAPPIE, prp59 = 18909760596300166302687932434463976442247508762236338683643
03/15/09 07:56:34 v1.06 @ LAPPIE, Lanczos elapsed time = 23.7060 seconds.
03/15/09 07:56:34 v1.06 @ LAPPIE, Sqrt elapsed time = 4.7680 seconds.
03/15/09 07:56:34 v1.06 @ LAPPIE, Total elapsed time = 4652.3250 seconds.

Yafu v1.06

Intel Core 2 Duo T8100 @ 2.1 GHz , Windows Vista Home Premium 32bit

272089940198104633054875330705060293972918367228792904820623259637483573293503997406461846622321795562039400939<111>

217690804652865617561647456806370878599153369<45>
1249891747297204550590383589450639722047981968436979229406865298531<67>

Number: 52227_114
N=272089940198104633054875330705060293972918367228792904820623259637483573293503997406461846622321795562039400939
  ( 111 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=217690804652865617561647456806370878599153369 (pp45)
 r2=1249891747297204550590383589450639722047981968436979229406865298531 (pp67)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.61 hours.
Scaled time: 1.23 units (timescale=0.472).
Factorization parameters were as follows:
name: 52227_114
n: 272089940198104633054875330705060293972918367228792904820623259637483573293503997406461846622321795562039400939
m: 100000000000000000000000
deg: 5
c5: 47
c0: 430
skew: 1.56
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 560001)
Primes: RFBsize:50612, AFBsize:50883, largePrimes:1253203 encountered
Relations: rels:1214381, finalFF:134219
Max relations in full relation-set: 28
Initial matrix: 101560 x 134219 with sparse part having weight 6656102.
Pruned matrix : 89680 x 90251 with weight 3329314.
Total sieving time: 2.47 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 2.61 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

12479564381422113272969945943040984668430321188672665832235198048429790674425132185802870517536297144906674233<110>

289307599580437389286466005391800602139333155100951<51>
43135971538668027066686811497458559892059332937372918510383<59>

Number: 52227_115
N=12479564381422113272969945943040984668430321188672665832235198048429790674425132185802870517536297144906674233
  ( 110 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=289307599580437389286466005391800602139333155100951 (pp51)
 r2=43135971538668027066686811497458559892059332937372918510383 (pp59)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.07 hours.
Scaled time: 0.97 units (timescale=0.472).
Factorization parameters were as follows:
name: 52227_115
n: 12479564381422113272969945943040984668430321188672665832235198048429790674425132185802870517536297144906674233
m: 100000000000000000000000
deg: 5
c5: 47
c0: 43
skew: 0.98
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 510001)
Primes: RFBsize:50612, AFBsize:50513, largePrimes:1250618 encountered
Relations: rels:1223349, finalFF:143869
Max relations in full relation-set: 28
Initial matrix: 101190 x 143869 with sparse part having weight 6594746.
Pruned matrix : 83890 x 84459 with weight 2840891.
Total sieving time: 1.95 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 2.07 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

31682474199006383681503501924541783790706923631755276480144526009963126992793922357715356562653777966524432580369<113>

3685081937763363023441186298874982289878764245745070221<55>
8597495180320429810468301518681351153843577630984803856789<58>

Number: 52227_116
N=31682474199006383681503501924541783790706923631755276480144526009963126992793922357715356562653777966524432580369
  ( 113 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=3685081937763363023441186298874982289878764245745070221 (pp55)
 r2=8597495180320429810468301518681351153843577630984803856789 (pp58)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.54 hours.
Scaled time: 1.20 units (timescale=0.473).
Factorization parameters were as follows:
name: 52227_116
n: 31682474199006383681503501924541783790706923631755276480144526009963126992793922357715356562653777966524432580369
m: 100000000000000000000000
deg: 5
c5: 470
c0: 43
skew: 0.62
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 570001)
Primes: RFBsize:52074, AFBsize:52431, largePrimes:1376744 encountered
Relations: rels:1402615, finalFF:193849
Max relations in full relation-set: 28
Initial matrix: 104572 x 193849 with sparse part having weight 9381540.
Pruned matrix : 77739 x 78325 with weight 2885815.
Total sieving time: 2.42 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,50000
total time: 2.54 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

28188847312187559423374635049668712587940909163633526270956401395328262084066106415596861204553<95>

587455999345399754749625762418451209379317133<45>
47984610496102341660255252672803946541711790573741<50>

Sun Mar 15 17:34:01 2009  Msieve v. 1.39
Sun Mar 15 17:34:01 2009  random seeds: ba2193c0 b2b2aacf
Sun Mar 15 17:34:01 2009  factoring 28188847312187559423374635049668712587940909163633526270956401395328262084066106415596861204553 (95 digits)
Sun Mar 15 17:34:01 2009  searching for 15-digit factors
Sun Mar 15 17:34:03 2009  commencing quadratic sieve (95-digit input)
Sun Mar 15 17:34:03 2009  using multiplier of 17
Sun Mar 15 17:34:03 2009  using 32kb Intel Core sieve core
Sun Mar 15 17:34:03 2009  sieve interval: 36 blocks of size 32768
Sun Mar 15 17:34:03 2009  processing polynomials in batches of 6
Sun Mar 15 17:34:03 2009  using a sieve bound of 2128183 (78401 primes)
Sun Mar 15 17:34:03 2009  using large prime bound of 310714718 (28 bits)
Sun Mar 15 17:34:03 2009  using double large prime bound of 1933086450144842 (43-51 bits)
Sun Mar 15 17:34:03 2009  using trial factoring cutoff of 51 bits
Sun Mar 15 17:34:03 2009  polynomial 'A' values have 12 factors
Sun Mar 15 20:43:29 2009  78536 relations (19778 full + 58758 combined from 1150950 partial), need 78497
Sun Mar 15 20:43:30 2009  begin with 1170728 relations
Sun Mar 15 20:43:31 2009  reduce to 202017 relations in 10 passes
Sun Mar 15 20:43:31 2009  attempting to read 202017 relations
Sun Mar 15 20:43:34 2009  recovered 202017 relations
Sun Mar 15 20:43:34 2009  recovered 184087 polynomials
Sun Mar 15 20:43:35 2009  attempting to build 78536 cycles
Sun Mar 15 20:43:35 2009  found 78536 cycles in 5 passes
Sun Mar 15 20:43:35 2009  distribution of cycle lengths:
Sun Mar 15 20:43:35 2009     length 1 : 19778
Sun Mar 15 20:43:35 2009     length 2 : 14088
Sun Mar 15 20:43:35 2009     length 3 : 13458
Sun Mar 15 20:43:35 2009     length 4 : 10557
Sun Mar 15 20:43:35 2009     length 5 : 7781
Sun Mar 15 20:43:35 2009     length 6 : 5251
Sun Mar 15 20:43:35 2009     length 7 : 3225
Sun Mar 15 20:43:35 2009     length 9+: 4398
Sun Mar 15 20:43:35 2009  largest cycle: 17 relations
Sun Mar 15 20:43:35 2009  matrix is 78401 x 78536 (21.2 MB) with weight 5255274 (66.92/col)
Sun Mar 15 20:43:35 2009  sparse part has weight 5255274 (66.92/col)
Sun Mar 15 20:43:36 2009  filtering completed in 3 passes
Sun Mar 15 20:43:36 2009  matrix is 74350 x 74414 (20.3 MB) with weight 5015728 (67.40/col)
Sun Mar 15 20:43:36 2009  sparse part has weight 5015728 (67.40/col)
Sun Mar 15 20:43:36 2009  saving the first 48 matrix rows for later
Sun Mar 15 20:43:36 2009  matrix is 74302 x 74414 (14.2 MB) with weight 4104596 (55.16/col)
Sun Mar 15 20:43:36 2009  sparse part has weight 3285109 (44.15/col)
Sun Mar 15 20:43:36 2009  matrix includes 64 packed rows
Sun Mar 15 20:43:36 2009  using block size 29765 for processor cache size 1024 kB
Sun Mar 15 20:43:37 2009  commencing Lanczos iteration
Sun Mar 15 20:43:37 2009  memory use: 12.8 MB
Sun Mar 15 20:44:17 2009  lanczos halted after 1176 iterations (dim = 74298)
Sun Mar 15 20:44:18 2009  recovered 15 nontrivial dependencies
Sun Mar 15 20:44:18 2009  prp45 factor: 587455999345399754749625762418451209379317133
Sun Mar 15 20:44:18 2009  prp50 factor: 47984610496102341660255252672803946541711790573741
Sun Mar 15 20:44:18 2009  elapsed time 03:10:17

16845878136200716845878136200716845878136200716845878136200716845878136200716845878136200716845878136200716845878136200717<122>

3553753901649698354047921541097460083255890435040418905481<58>
4740305210324396166746716284276132282091713424142937278623424357<64>

Number: n
N=16845878136200716845878136200716845878136200716845878136200716845878136200716845878136200716845878136200716845878136200717
  ( 122 digits)
SNFS difficulty: 123 digits.
Divisors found:
 r1=3553753901649698354047921541097460083255890435040418905481 (pp58)
 r2=4740305210324396166746716284276132282091713424142937278623424357 (pp64)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 1.59 hours.
Scaled time: 4.23 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_2_121_7
n: 16845878136200716845878136200716845878136200716845878136200716845878136200716845878136200716845878136200716845878136200717
skew: 0.39
deg: 5
c5: 4700
c0: 43
m: 1000000000000000000000000
type: snfs
rlim: 600000
alim: 600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [300000, 660001)
Primes: RFBsize:49098, AFBsize:49206, largePrimes:4778585 encountered
Relations: rels:4334253, finalFF:160209
Max relations in full relation-set: 28
Initial matrix: 98371 x 160209 with sparse part having weight 17227502.
Pruned matrix : 87616 x 88171 with weight 7733167.
Total sieving time: 1.48 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,123,5,0,0,0,0,0,0,0,0,600000,600000,28,28,56,56,2.4,2.4,50000
total time: 1.59 hours.
 --------- CPU info (if available) ----------

2193422549026999531240180405969308634774081473846196681195301222164747803070319802746246945986037686776266047<109>

11392640902908865486786962808915005513936037420777<50>
192529771430516722768552082971149709013406250854830961537511<60>

Number: n
N=2193422549026999531240180405969308634774081473846196681195301222164747803070319802746246945986037686776266047
  ( 109 digits)
Divisors found:

Tue Mar 17 07:53:13 2009  prp50 factor: 11392640902908865486786962808915005513936037420777
Tue Mar 17 07:53:13 2009  prp60 factor: 192529771430516722768552082971149709013406250854830961537511
Tue Mar 17 07:53:13 2009  elapsed time 01:04:28 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 10.69 hours.
Scaled time: 19.17 units (timescale=1.793).
Factorization parameters were as follows:
n: 2193422549026999531240180405969308634774081473846196681195301222164747803070319802746246945986037686776266047
skew: 35509.20
Y0: -789741278560127834899
Y1:  216704254129
c0: -302573579818317197066484660
c1:  16492546007944770846450
c2:  278514279697725838
c3: -23720825775976
c4: -6014549
c5:  7140
type: gnfs
name: KA_5_2_128_7
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1600000, 10000000
)
Primes: RFBsize:230209, AFBsize:231161, largePrimes:15904187 encountered
Relations: rels:13829817, finalFF:539057
Max relations in full relation-set: 28
Initial matrix: 461452 x 539057 with sparse part having weight 57962085.
Pruned matrix : 401595 x 403966 with weight 35176102.

Msieve: found 968534 hash collisions in 14496195 relations
Msieve: matrix is 437224 x 437472 (120.1 MB)

Total sieving time: 10.26 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,28,28,56,56,2.6,2.6,100000
total time: 10.69 hours.
 --------- CPU info (if available) ----------

46888673502095873639414330175481424941649129130310637419751579010974833661939667282305143033004091755626280533171287163133<122>

39950370666748923637428313257142978450538278038369002709049<59>
1173673052829063384478836643948244815409866910460348090878975717<64>

Number: 52227_131
N=46888673502095873639414330175481424941649129130310637419751579010974833661939667282305143033004091755626280533171287163133
  ( 122 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=39950370666748923637428313257142978450538278038369002709049
 r2=1173673052829063384478836643948244815409866910460348090878975717
Version: 
Total time: 3.31 hours.
Scaled time: 3.18 units (timescale=0.961).
Factorization parameters were as follows:
n: 46888673502095873639414330175481424941649129130310637419751579010974833661939667282305143033004091755626280533171287163133
m: 100000000000000000000000000
deg: 5
c5: 470
c0: 43
skew: 0.62
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168382 x 168630
Total sieving time: 3.31 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 3.31 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

79079656589897770829755883230016693801070150647426375600966191633835688276797963739134622541280218760533415303701<113>

66805162715275047378310258081346195204829497<44>
1183735708075989040372436812349988192444720219615958206238555847039933<70>

Number: 52227_132
N=79079656589897770829755883230016693801070150647426375600966191633835688276797963739134622541280218760533415303701
  ( 113 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=66805162715275047378310258081346195204829497 (pp44)
 r2=1183735708075989040372436812349988192444720219615958206238555847039933 (pp70)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 8.20 hours.
Scaled time: 3.87 units (timescale=0.472).
Factorization parameters were as follows:
name: 52227_132
n: 79079656589897770829755883230016693801070150647426375600966191633835688276797963739134622541280218760533415303701
m: 200000000000000000000000000
deg: 5
c5: 1175
c0: 344
skew: 0.78
type: snfs
lss: 1
rlim: 1220000
alim: 1220000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1220000/1220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [610000, 1285001)
Primes: RFBsize:94358, AFBsize:94703, largePrimes:3084901 encountered
Relations: rels:3026470, finalFF:247939
Max relations in full relation-set: 28
Initial matrix: 189128 x 247939 with sparse part having weight 21305585.
Pruned matrix : 172342 x 173351 with weight 11877184.
Total sieving time: 7.47 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1220000,1220000,26,26,47,47,2.3,2.3,75000
total time: 8.20 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin

33026204648223325723542311678054028103025705149354813007075200971205810804912651075595987113664903079159513943959551669977<122>

237701512526503316094085015925914398939871<42>
138939816988084835328310231759557123542468331563336367798939674241466623501737287<81>

Number: 52227_133
N=33026204648223325723542311678054028103025705149354813007075200971205810804912651075595987113664903079159513943959551669977
  ( 122 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=237701512526503316094085015925914398939871 (pp42)
 r2=138939816988084835328310231759557123542468331563336367798939674241466623501737287 (pp81)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 12.01 hours.
Scaled time: 5.67 units (timescale=0.472).
Factorization parameters were as follows:
name: 52227_133
n: 33026204648223325723542311678054028103025705149354813007075200971205810804912651075595987113664903079159513943959551669977
m: 500000000000000000000000000
deg: 5
c5: 376
c0: 1075
skew: 1.23
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1700001)
Primes: RFBsize:100021, AFBsize:99643, largePrimes:3416033 encountered
Relations: rels:3427270, finalFF:250618
Max relations in full relation-set: 28
Initial matrix: 199731 x 250618 with sparse part having weight 26073288.
Pruned matrix : 186068 x 187130 with weight 17115454.
Total sieving time: 10.98 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 12.01 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

2863428365382506574459322158320072149516768735261054173117115655009321393116863539484787994769174631<100>

33140813277130657263276598717234867<35>
86401873769297648431111420569995876592842102131867050272977396093<65>

Number: 52227_134
N=2863428365382506574459322158320072149516768735261054173117115655009321393116863539484787994769174631
  ( 100 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=33140813277130657263276598717234867 (pp35)
 r2=86401873769297648431111420569995876592842102131867050272977396093 (pp65)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 10.58 hours.
Scaled time: 4.98 units (timescale=0.471).
Factorization parameters were as follows:
name: 52227_134
n: 2863428365382506574459322158320072149516768735261054173117115655009321393116863539484787994769174631
m: 1000000000000000000000000000
deg: 5
c5: 47
c0: 430
skew: 1.56
type: snfs
lss: 1
rlim: 1330000
alim: 1330000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
Factor base limits: 1330000/1330000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [665000, 1565001)
Primes: RFBsize:102146, AFBsize:102377, largePrimes:3399888 encountered
Relations: rels:3402913, finalFF:274311
Max relations in full relation-set: 28
Initial matrix: 204588 x 274311 with sparse part having weight 26498437.
Pruned matrix : 185448 x 186534 with weight 15077134.
Total sieving time: 9.64 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1330000,1330000,26,26,48,48,2.3,2.3,75000
total time: 10.58 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

3602328207069993276688980247135992929780635061121559966824577582492561177498183871096962665095436566649393648539799951734458447<127>

1224497256592206800729962339<28>
2941883444553664147916566056863280701237761715183346787691176035860224740326839623028029463639854373<100>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1675325719
Step 1 took 6537ms
Step 2 took 6712ms
********** Factor found in step 2: 1224497256592206800729962339
Found probable prime factor of 28 digits: 1224497256592206800729962339
Probable prime cofactor has 100 digits

GMP-ECM 6.2.2

520522046830186152910240975750485609199636284388609452902752302842431586706848237660180276152553860197687119043952535177<120>

225137369694189736044300833591348660134434473007233<51>
2312019757258537421611817790983585370931405479576855830076562217781769<70>

Number: 52227_137
N=520522046830186152910240975750485609199636284388609452902752302842431586706848237660180276152553860197687119043952535177
  ( 120 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=225137369694189736044300833591348660134434473007233 (pp51)
 r2=2312019757258537421611817790983585370931405479576855830076562217781769 (pp70)
Version: Msieve-1.39
Total time: 5.48 hours.
Scaled time: 14.08 units (timescale=2.571).
Factorization parameters were as follows:
n: 520522046830186152910240975750485609199636284388609452902752302842431586706848237660180276152553860197687119043952535177
m: 2000000000000000000000000000
deg: 5
c5: 1175
c0: 344
skew: 0.78
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [740000, 1640001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 235565 x 235813
Total sieving time: 5.48 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,75000
total time: 5.48 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

11192976565526213593774731826873141752598428254938857864208351985208269040250801302155933442685237411336000086672694960933452769633<131>

12110497390862521623462778958590913065727<41>
924237560545730707810965451625528143183388041524274755116745709326870820529485298305483679<90>

Number: 52227_138
N=11192976565526213593774731826873141752598428254938857864208351985208269040250801302155933442685237411336000086672694960933452769633
  ( 131 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=12110497390862521623462778958590913065727
 r2=924237560545730707810965451625528143183388041524274755116745709326870820529485298305483679
Version: 
Total time: 9.42 hours.
Scaled time: 8.22 units (timescale=0.872).
Factorization parameters were as follows:
n: 11192976565526213593774731826873141752598428254938857864208351985208269040250801302155933442685237411336000086672694960933452769633
m: 5000000000000000000000000000
deg: 5
c5: 376
c0: 1075
skew: 1.23
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 301018 x 301266
Total sieving time: 9.42 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,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 9.42 hours.
 --------- CPU info (if available) ----------

GGNFS,Msieve

415518355169706979108179142870505119141931610452779742649148766445354518050426777134431592550127206081986368699338256076536005593761142191<138>

4843817090846848103800130938749666541<37>
85783246430773379911102166695200551942332371371885262915582905035373010589522772606960016182845664651<101>

Number: 52227_143
N=415518355169706979108179142870505119141931610452779742649148766445354518050426777134431592550127206081986368699338256076536005593761142191
  ( 138 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=4843817090846848103800130938749666541 (pp37)
 r2=85783246430773379911102166695200551942332371371885262915582905035373010589522772606960016182845664651 (pp101)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 30.82 hours.
Scaled time: 14.52 units (timescale=0.471).
Factorization parameters were as follows:
name: 52227_143
n: 415518355169706979108179142870505119141931610452779742649148766445354518050426777134431592550127206081986368699338256076536005593761142191
m: 50000000000000000000000000000
deg: 5
c5: 376
c0: 1075
skew: 1.23
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 3450001)
Primes: RFBsize:142029, AFBsize:141497, largePrimes:4391493 encountered
Relations: rels:4701517, finalFF:334993
Max relations in full relation-set: 28
Initial matrix: 283593 x 334993 with sparse part having weight 40541816.
Pruned matrix : 267398 x 268879 with weight 31033526.
Total sieving time: 27.63 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 2.77 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 30.82 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

26372288375851510075141295091256465723888801319948296741264515789328641332678379950721528722522931777347<104>

185767993337027714455265134749591365614059015697<48>
141963574575550541691236928123164412858691879492806034451<57>

Number: n
N=26372288375851510075141295091256465723888801319948296741264515789328641332678379950721528722522931777347
  ( 104 digits)
Divisors found:

Wed Mar 18 02:57:01 2009  prp48 factor: 185767993337027714455265134749591365614059015697
Wed Mar 18 02:57:01 2009  prp57 factor: 141963574575550541691236928123164412858691879492806034451
Wed Mar 18 02:57:01 2009  elapsed time 00:31:08 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.77 hours.
Scaled time: 12.35 units (timescale=1.823).
Factorization parameters were as follows:
n: 26372288375851510075141295091256465723888801319948296741264515789328641332678379950721528722522931777347
skew: 29710.99
Y0: -144401432342722261807
Y1:  36431541157
c0: -15122488454704756317858600
c1: -13242623711720306931140
c2: -210177813641840938
c3:  18447924067323
c4:  157240256
c5:  420
type: gnfs
name: KA_5_2_146_7
rlim: 2300000
alim: 2300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1150000, 10000000
)
Primes: RFBsize:169511, AFBsize:169780, largePrimes:14660589 encountered
Relations: rels:12861753, finalFF:536940
Max relations in full relation-set: 28
Initial matrix: 339372 x 536940 with sparse part having weight 62352556.
Pruned matrix : 237664 x 239424 with weight 22900522.

Msieve: found 823997 hash collisions in 13420417 relations
Msieve: matrix is 276291 x 276539 (76.0 MB)

Total sieving time: 6.44 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,28,28,56,56,2.6,2.6,100000
total time: 6.77 hours.
 --------- CPU info (if available) ----------

2655803376825658847637458230916276479422795676367628311147056956567958355588426064464073349447932249543517399379<112>

3980941556193166603838231490318104342696694098555483207<55>
667129456521162682500034200289208198670786991776880206997<57>

Number: 52227_148
N=2655803376825658847637458230916276479422795676367628311147056956567958355588426064464073349447932249543517399379
  ( 112 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=3980941556193166603838231490318104342696694098555483207 (pp55)
 r2=667129456521162682500034200289208198670786991776880206997 (pp57)
Version: Msieve-1.39
Total time: 17.37 hours.
Scaled time: 44.66 units (timescale=2.571).
Factorization parameters were as follows:
n: 2655803376825658847637458230916276479422795676367628311147056956567958355588426064464073349447932249543517399379
m: 500000000000000000000000000000
deg: 5
c5: 376
c0: 1075
skew: 1.23
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 431941 x 432189
Total sieving time: 17.37 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,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 17.37 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

122521705021069884387637246526784156891699758592426768050055408604573625933007212113030244983476855679600447806602593063561942636751192515857247<144>

102954757437537587020286226041931725738471<42>
1190053845694343160057405598164702056965447494076340682927117292004770107354365772690735150938069056457<103>

Number: 52227_152
N=122521705021069884387637246526784156891699758592426768050055408604573625933007212113030244983476855679600447806602593063561942636751192515857247
  ( 144 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=102954757437537587020286226041931725738471
 r2=1190053845694343160057405598164702056965447494076340682927117292004770107354365772690735150938069056457
Version: 
Total time: 33.77 hours.
Scaled time: 26.44 units (timescale=0.783).
Factorization parameters were as follows:
n: 122521705021069884387637246526784156891699758592426768050055408604573625933007212113030244983476855679600447806602593063561942636751192515857247
m: 2000000000000000000000000000000
deg: 5
c5: 1175
c0: 344
skew: 0.78
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 499587 x 499835
Total sieving time: 33.77 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,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 33.77 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2607797990043585498486776563577293170179160358822379016514029370980619932719161276506780892488605173914090155178598786073131670341147757<136>

257352985880137140848352215811551723<36>
10133156143982625350749263738927449627185877360057069960197245768769800614330181000523922313277930759<101>

Number: 52227_153
N=2607797990043585498486776563577293170179160358822379016514029370980619932719161276506780892488605173914090155178598786073131670341147757
  ( 136 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=257352985880137140848352215811551723
 r2=10133156143982625350749263738927449627185877360057069960197245768769800614330181000523922313277930759
Version: 
Total time: 37.46 hours.
Scaled time: 36.11 units (timescale=0.964).
Factorization parameters were as follows:
n: 2607797990043585498486776563577293170179160358822379016514029370980619932719161276506780892488605173914090155178598786073131670341147757
m: 5000000000000000000000000000000
deg: 5
c5: 376
c0: 1075
skew: 1.23
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 570944 x 571192
Total sieving time: 37.46 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,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 37.46 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

494078821595025196408271508880661445720441071385869313691441666275744356652202763243018257244781008472892898153247400472370169<126>

1465580419519146912565525021259863883123452963969<49>
337121603846980406888182918563839484405915367888409034254610751275644373799801<78>

Number: 52227_154
N=494078821595025196408271508880661445720441071385869313691441666275744356652202763243018257244781008472892898153247400472370169
  ( 126 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=1465580419519146912565525021259863883123452963969
 r2=337121603846980406888182918563839484405915367888409034254610751275644373799801
Version: 
Total time: 34.14 hours.
Scaled time: 33.66 units (timescale=0.986).
Factorization parameters were as follows:
n: 494078821595025196408271508880661445720441071385869313691441666275744356652202763243018257244781008472892898153247400472370169
m: 10000000000000000000000000000000
deg: 5
c5: 47
c0: 430
skew: 1.56
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor 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, 2750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 556521 x 556769
Total sieving time: 34.14 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,156,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 34.14 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

133856588582522074245145041981306385740123220548779419003259092949533192359296116928474190874485652535703692405137<114>

1397470491947633752572738006663140974036393<43>
95784912349718487411932418288029995627417379622853984198602872452343209<71>

Number: n
N=133856588582522074245145041981306385740123220548779419003259092949533192359296116928474190874485652535703692405137
  ( 114 digits)
Divisors found:

Thu Mar 19 20:53:29 2009  prp43 factor: 1397470491947633752572738006663140974036393
Thu Mar 19 20:53:29 2009  prp71 factor: 95784912349718487411932418288029995627417379622853984198602872452343209
Thu Mar 19 20:53:29 2009  elapsed time 01:42:06 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.11 hours.
Scaled time: 34.84 units (timescale=1.823).
Factorization parameters were as follows:
n: 133856588582522074245145041981306385740123220548779419003259092949533192359296116928474190874485652535703692405137
skew: 80691.62
Y0: -8289403519030582587562
Y1:  509751010163
c0: -2041210546406800131753532935
c1:  1083180025265749843277181
c2:  3650027098564077305
c3: -235277594845393
c4: -353315578
c5:  3420
type: gnfs
name: KA_5_2_154_7
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [1750000, 2602283)
Primes: RFBsize:250150, AFBsize:248462, largePrimes:16642854 encountered
Relations: rels:14546049, finalFF:509469
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 905433 hash collisions in 15107156 relations
Msieve: matrix is 598018 x 598266 (167.6 MB)

Total sieving time: 18.64 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,28,28,56,56,2.6,2.6,100000
total time: 19.11 hours.
 --------- CPU info (if available) ----------

31507619193511423542935436939709466487629251657249002190486601003992558407642434351504182852325940175227371864963648554636926509550429565398233<143>

113581577204809565513012062452451703276361480125789394032540587489<66>
277400789537348018726881092733478275821865326592097829516429044974540705826297<78>

Number: 52227_156
N=31507619193511423542935436939709466487629251657249002190486601003992558407642434351504182852325940175227371864963648554636926509550429565398233
  ( 143 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=113581577204809565513012062452451703276361480125789394032540587489 (pp66)
 r2=277400789537348018726881092733478275821865326592097829516429044974540705826297 (pp78)
Version: Msieve-1.39
Total time: 22.76 hours.
Scaled time: 58.51 units (timescale=2.571).
Factorization parameters were as follows:
n: 31507619193511423542935436939709466487629251657249002190486601003992558407642434351504182852325940175227371864963648554636926509550429565398233
m: 10000000000000000000000000000000
deg: 5
c5: 470
c0: 43
skew: 0.62
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, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 546997 x 547245
Total sieving time: 22.76 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,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 22.76 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

5802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135803<157>

863739116053015826056476279862601665119897672463708354914661277<63>
6717849206966234942139994623500961571684454208649571846255616026490064023572030489723138698039<94>

SNFS difficulty: 159 digits.
Divisors found:
 r1=863739116053015826056476279862601665119897672463708354914661277 (pp63)
 r2=6717849206966234942139994623500961571684454208649571846255616026490064023572030489723138698039 (pp94)
Version: Msieve-1.40
Total time: 12.45 hours.
Scaled time: 35.34 units (timescale=2.840).
Factorization parameters were as follows:
n: 5802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135802469135803
m: 20000000000000000000000000000000
deg: 5
c5: 1175
c0: 344
skew: 0.78
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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: 52/52
Sieved rational special-q in [1600000, 3100001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 600280 x 600528
Total sieving time: 12.45 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,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,52,52,2.4,2.4,100000
total time: 12.45 hours.

Msieve-1.40

Phenom II X4 940/openSUSE/x86_64

5222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<160>

447820738433104994589571533297604237016615893<45>
11661412199208171450910796477053685957193762778984934328207442349695941331544774427207372189329106930197283990416839<116>

Number: 52227_159
N=5222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
  ( 160 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=447820738433104994589571533297604237016615893
 r2=11661412199208171450910796477053685957193762778984934328207442349695941331544774427207372189329106930197283990416839
Version: 
Total time: 41.14 hours.
Scaled time: 105.07 units (timescale=2.554).
Factorization parameters were as follows:
name: 52227_159
n: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227
m: 100000000000000000000000000000000
deg: 5
c5: 47
c0: 430
skew: 1.56
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, 3650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 712197 x 712445
Total sieving time: 41.14 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,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 41.14 hours.
 --------- CPU info (if available) ----------

397177874080229317051149764073089318013554005934812637198388942769447745098210464469279064246630105665903019528647062188207604864641024185378483205906967257<156>

307031513422353026269894950420686124016927088828921<51>
1293606215378519849799542839583733138204875126738568274252542589532440363745910647106817207149014577563617<106>

Number: 52227_163
N=397177874080229317051149764073089318013554005934812637198388942769447745098210464469279064246630105665903019528647062188207604864641024185378483205906967257
  ( 156 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=307031513422353026269894950420686124016927088828921 (pp51)
 r2=1293606215378519849799542839583733138204875126738568274252542589532440363745910647106817207149014577563617 (pp106)
Version: Msieve-1.39
Total time: 58.14 hours.
Scaled time: 150.06 units (timescale=2.581).
Factorization parameters were as follows:
n: 397177874080229317051149764073089318013554005934812637198388942769447745098210464469279064246630105665903019528647062188207604864641024185378483205906967257
m: 500000000000000000000000000000000
deg: 5
c5: 376
c0: 1075
skew: 1.23
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 5150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 810291 x 810539
Total sieving time: 58.14 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,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 58.14 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

442629449356417868374096093134357838201766193006340727794212331411769743138441645804478878702630059670854407148617946977910051165882103660358690626412352583<156>

9480603531462587241575906463236513<34>

46687897862988976253887223591929792850820668664171354728982099424768530856044160419085192929785748509473936291264991452391<122>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3007815294
Step 1 took 9252ms
Step 2 took 8645ms
********** Factor found in step 2: 9480603531462587241575906463236513
Found probable prime factor of 34 digits: 9480603531462587241575906463236513
Composite cofactor has 122 digits

GMP-ECM 6.2.2

46687897862988976253887223591929792850820668664171354728982099424768530856044160419085192929785748509473936291264991452391<122>

1925457966905235846156525388783627303<37>
24247684792636549715927770946748662555654899363148036016451038975272737398252341068097<86>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=17151464
********** Factor found in step 2: 1925457966905235846156525388783627303
Found probable prime factor of 37 digits: 1925457966905235846156525388783627303
Probable prime cofactor 24247684792636549715927770946748662555654899363148036016451038975272737398252341068097 has 86 digits

GMP-ECM 6.2.2

Intel Core 2 Duo T8100
Windows Vista Home Premium 32 bit

2030720997855165444114296737705910302422705023114984205894611862484361341983565323116162456141665274434595317984357667242695800098693904632355872569250189238353073<163>

2460206087289861850132545179847589<34>

825427190163644852254913733459514842316359767509942803406052438727183699044270460684675686871923852679575050581068620849873014557<129>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1783504632
Step 1 took 9136ms
Step 2 took 8777ms
********** Factor found in step 2: 2460206087289861850132545179847589
Found probable prime factor of 34 digits: 2460206087289861850132545179847589
Composite cofactor has 129 digits

GMP-ECM 6.2.2

825427190163644852254913733459514842316359767509942803406052438727183699044270460684675686871923852679575050581068620849873014557<129>

5947600359084872453635233580884281<34>
138783230265768766152371928057610712541819675642385676028172380581542216339866361236637806555397<96>

Syd`s Database workers hit this p34 with B1=1e6
p34 = 5947600359084872453635233580884281

Syd`s Databaseworkers with ECM

158205570055183487273379513322996014641789534534660875883619430317468638627535936866361100062189469901987850488022257953<120>

480083270638162015012277626457696051905424961830297<51>
329537769239250933349558669210841259940463368184107656991978047362249<69>

Number: n
N=158205570055183487273379513322996014641789534534660875883619430317468638627535936866361100062189469901987850488022257953
  ( 120 digits)
Divisors found:
 r1=480083270638162015012277626457696051905424961830297 (pp51)
 r2=329537769239250933349558669210841259940463368184107656991978047362249 (pp69)
Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 39.86 hours.
Scaled time: 106.47 units (timescale=2.671).
Factorization parameters were as follows:
name: KA_5_2_169_7
n: 158205570055183487273379513322996014641789534534660875883619430317468638627535936866361100062189469901987850488022257953
skew: 55677.21
# norm 2.84e+16
c5: 59400
c4: -15665912550
c3: -807592077619909
c2: 33222887004005503474
c1: 931840140544419999583792
c0: -24071922341916760519440992512
# alpha -6.24
Y1: 242445705203
Y0: -76751546911839328392471
# Murphy_E 3.27e-10
# M 1685311989380475577265181398064331751532813417905642689191093594604343860789446220243040490401329161826299123753053845
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4230001)
Primes: RFBsize:315948, AFBsize:315721, largePrimes:7686811 encountered
Relations: rels:7783655, finalFF:763522
Max relations in full relation-set: 28
Initial matrix: 631751 x 763522 with sparse part having weight 65387348.
Pruned matrix : 522836 x 526058 with weight 41896142.
Polynomial selection time: 5.21 hours.
Total sieving time: 32.60 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 1.50 hours.
Total square root time: 0.27 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 39.86 hours.
 --------- CPU info (if available) ----------

4854022944059497493559294183469963258453838980559394850903311139665637210420013882141778063169447709643636695309639865484184379412433473<136>

2223523490790922978933773329717835559<37>
2183032004907169798835967219091617895808587877255565369566738265988864330167127921846207946304885847<100>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4024211974
Step 1 took 8060ms
Step 2 took 7553ms
********** Factor found in step 2: 2223523490790922978933773329717835559
Found probable prime factor of 37 digits: 2223523490790922978933773329717835559
Probable prime cofactor 2183032004907169798835967219091617895808587877255565369566738265988864330167127921846207946304885847 has 100 digits

GMP-ECM 6.2.2

522222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227<174>

90388236299737203736595896523<29>

5777546322405015660288908414817858932872526998188643108740269812721019661590310819817117987276322539822666494675788815649610583379222590816956249<145>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4040459943
Step 1 took 11205ms
********** Factor found in step 1: 90388236299737203736595896523
Found probable prime factor of 29 digits: 90388236299737203736595896523
Composite cofactor has 145 digits

GMP-ECM 6.2.2

5777546322405015660288908414817858932872526998188643108740269812721019661590310819817117987276322539822666494675788815649610583379222590816956249<145>

31299699827527151878265134823107903232660271524198479576200745661<65>
184587914716160827108153202856645294626843751723464027049251531236632055231727309<81>

N = 5777546322405015660288908414817858932872526998188643108740269812721019661590310819817117987276322539822666494675788815649610583379222590816956249 (145 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=31299699827527151878265134823107903232660271524198479576200745661 (pp65)
r2=184587914716160827108153202856645294626843751723464027049251531236632055231727309 (pp81)
Version: Msieve v. 1.48
Total time: 45.21 hours.
Factorization parameters were as follows:
name: (47*10^173+43)/9
n: 5777546322405015660288908414817858932872526998188643108740269812721019661590310819817117987276322539822666494675788815649610583379222590816956249
Y0: 10000000000000000000000000000000000
Y1: -1
c0: 43
c1: 0
c2: 0
c3: 0
c4: 0
c5: 47000
skew: 0.25
type: snfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21349463
Relations: 2743462 relations
Pruned matrix : 1559013 x 1559238
Polynomial selection time: 0.00 hours.
Total sieving time: 41.52 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.47 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 45.21 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

9871875656374711195127074144087376601554295316110060911573198907792480571308548624238605335013652593992858643142197017433312329342575089266960722537282083595883217811384163<172>

20155372881344237249701760518000538181423547561<47>
489788788056215750930608840816878998358650966697873970244482403849329672929816622034720262339309577873049188174812546664400683<126>

Number: 52227_174
N=9871875656374711195127074144087376601554295316110060911573198907792480571308548624238605335013652593992858643142197017433312329342575089266960722537282083595883217811384163
  ( 172 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=20155372881344237249701760518000538181423547561 (pp47)
 r2=489788788056215750930608840816878998358650966697873970244482403849329672929816622034720262339309577873049188174812546664400683 (pp126)
Version: Msieve-1.39
Total time: 101.80 hours.
Scaled time: 177.03 units (timescale=1.739).
Factorization parameters were as follows:
n: 9871875656374711195127074144087376601554295316110060911573198907792480571308548624238605335013652593992858643142197017433312329342575089266960722537282083595883217811384163
m: 100000000000000000000000000000000000
deg: 5
c5: 47
c0: 430
skew: 1.56
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3100000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1363720 x 1363968
Total sieving time: 101.80 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 101.80 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

41920836665204007277984360755300194289391676075643064066235711326292305875936896298946608785011968191808371726257268069270400046523513226157197921397<149>

7684603239511916687785652944341415619<37>
5455172552001082357228613592603911838567510284478935501155173115284001353022400620358607992323748753578965314663<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3756545019
Step 1 took 48947ms
Step 2 took 20767ms
********** Factor found in step 2: 7684603239511916687785652944341415619
Found probable prime factor of 37 digits: 7684603239511916687785652944341415619
Probable prime cofactor 5455172552001082357228613592603911838567510284478935501155173115284001353022400620358607992323748753578965314663 has 112 digits

783372174373810476594582483727966530201125979884764505597296825933875089215697055697007563243322236484513444535019569217726439614653537611031106391724151008459539<162>

7965892708640977061800444399048531665091<40>

98340789039758214953444602328632526626044075003442251168349106395081676746916223389379540959220940828570493830269167490929<122>

Input number is 783372174373810476594582483727966530201125979884764505597296825933875089215697055697007563243322236484513444535019569217726439614653537611031106391724151008459539 (162 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2702327217
Step 1 took 11549ms
Step 2 took 4880ms
********** Factor found in step 2: 7965892708640977061800444399048531665091
Found probable prime factor of 40 digits: 7965892708640977061800444399048531665091
Composite cofactor 983407890397... has 122 digits

98340789039758214953444602328632526626044075003442251168349106395081676746916223389379540959220940828570493830269167490929<122>

70251533325221973691000450613163058341377172463<47>
1399838329285996230925527426060128191378100514730271005960430603775103015583<76>

Tue Oct 11 17:50:34 2011  commencing relation filtering
Tue Oct 11 17:50:34 2011  estimated available RAM is 2006.1 MB
Tue Oct 11 17:50:34 2011  commencing duplicate removal, pass 1
Tue Oct 11 17:54:02 2011  found 1399051 hash collisions in 12596399 relations
Tue Oct 11 17:54:47 2011  added 433 free relations
Tue Oct 11 17:54:47 2011  commencing duplicate removal, pass 2
Tue Oct 11 17:54:59 2011  found 1038637 duplicates and 11558195 unique relations
Tue Oct 11 17:54:59 2011  memory use: 49.3 MB
Tue Oct 11 17:54:59 2011  reading ideals above 5177344
Tue Oct 11 17:55:02 2011  commencing singleton removal, initial pass
Tue Oct 11 17:58:36 2011  memory use: 344.5 MB
Tue Oct 11 17:58:37 2011  reading all ideals from disk
Tue Oct 11 17:58:37 2011  memory use: 205.5 MB
Tue Oct 11 17:58:39 2011  commencing in-memory singleton removal
Tue Oct 11 17:58:41 2011  begin with 11558195 relations and 10974222 unique ideals
Tue Oct 11 17:59:00 2011  reduce to 5770479 relations and 4340135 ideals in 15 passes
Tue Oct 11 17:59:00 2011  max relations containing the same ideal: 22
Tue Oct 11 17:59:02 2011  reading ideals above 100000
Tue Oct 11 17:59:02 2011  commencing singleton removal, initial pass
Tue Oct 11 18:01:14 2011  memory use: 94.1 MB
Tue Oct 11 18:01:14 2011  reading all ideals from disk
Tue Oct 11 18:01:14 2011  memory use: 206.0 MB
Tue Oct 11 18:01:16 2011  keeping 5031794 ideals with weight <= 200, target excess is 30840
Tue Oct 11 18:01:18 2011  commencing in-memory singleton removal
Tue Oct 11 18:01:20 2011  begin with 5770914 relations and 5031794 unique ideals
Tue Oct 11 18:01:35 2011  reduce to 5770064 relations and 5028853 ideals in 7 passes
Tue Oct 11 18:01:35 2011  max relations containing the same ideal: 200
Tue Oct 11 18:01:45 2011  removing 1643759 relations and 1291041 ideals in 352718 cliques
Tue Oct 11 18:01:46 2011  commencing in-memory singleton removal
Tue Oct 11 18:01:48 2011  begin with 4126305 relations and 5028853 unique ideals
Tue Oct 11 18:02:01 2011  reduce to 3838996 relations and 3429143 ideals in 9 passes
Tue Oct 11 18:02:01 2011  max relations containing the same ideal: 159
Tue Oct 11 18:02:08 2011  removing 1234203 relations and 881485 ideals in 352718 cliques
Tue Oct 11 18:02:08 2011  commencing in-memory singleton removal
Tue Oct 11 18:02:09 2011  begin with 2604793 relations and 3429143 unique ideals
Tue Oct 11 18:02:18 2011  reduce to 2341867 relations and 2260084 ideals in 10 passes
Tue Oct 11 18:02:18 2011  max relations containing the same ideal: 113
Tue Oct 11 18:02:22 2011  removing 261165 relations and 215157 ideals in 46008 cliques
Tue Oct 11 18:02:22 2011  commencing in-memory singleton removal
Tue Oct 11 18:02:23 2011  begin with 2080702 relations and 2260084 unique ideals
Tue Oct 11 18:02:29 2011  reduce to 2061144 relations and 2024979 ideals in 8 passes
Tue Oct 11 18:02:29 2011  max relations containing the same ideal: 103
Tue Oct 11 18:02:33 2011  relations with 0 large ideals: 97
Tue Oct 11 18:02:33 2011  relations with 1 large ideals: 123
Tue Oct 11 18:02:33 2011  relations with 2 large ideals: 1688
Tue Oct 11 18:02:33 2011  relations with 3 large ideals: 17150
Tue Oct 11 18:02:33 2011  relations with 4 large ideals: 90555
Tue Oct 11 18:02:33 2011  relations with 5 large ideals: 279710
Tue Oct 11 18:02:33 2011  relations with 6 large ideals: 524198
Tue Oct 11 18:02:33 2011  relations with 7+ large ideals: 1147623
Tue Oct 11 18:02:33 2011  commencing 2-way merge
Tue Oct 11 18:02:38 2011  reduce to 1288286 relation sets and 1252121 unique ideals
Tue Oct 11 18:02:38 2011  commencing full merge
Tue Oct 11 18:03:34 2011  memory use: 155.8 MB
Tue Oct 11 18:03:34 2011  found 655014 cycles, need 650321
Tue Oct 11 18:03:35 2011  weight of 650321 cycles is about 45631441 (70.17/cycle)
Tue Oct 11 18:03:35 2011  distribution of cycle lengths:
Tue Oct 11 18:03:35 2011  1 relations: 74236
Tue Oct 11 18:03:35 2011  2 relations: 71336
Tue Oct 11 18:03:35 2011  3 relations: 74160
Tue Oct 11 18:03:35 2011  4 relations: 70390
Tue Oct 11 18:03:35 2011  5 relations: 65278
Tue Oct 11 18:03:35 2011  6 relations: 57345
Tue Oct 11 18:03:35 2011  7 relations: 49011
Tue Oct 11 18:03:35 2011  8 relations: 41291
Tue Oct 11 18:03:35 2011  9 relations: 34072
Tue Oct 11 18:03:35 2011  10+ relations: 113202
Tue Oct 11 18:03:35 2011  heaviest cycle: 23 relations
Tue Oct 11 18:03:35 2011  commencing cycle optimization
Tue Oct 11 18:03:38 2011  start with 3798137 relations
Tue Oct 11 18:03:53 2011  pruned 99184 relations
Tue Oct 11 18:03:53 2011  memory use: 123.3 MB
Tue Oct 11 18:03:53 2011  distribution of cycle lengths:
Tue Oct 11 18:03:53 2011  1 relations: 74236
Tue Oct 11 18:03:53 2011  2 relations: 72876
Tue Oct 11 18:03:53 2011  3 relations: 76709
Tue Oct 11 18:03:53 2011  4 relations: 72247
Tue Oct 11 18:03:53 2011  5 relations: 67075
Tue Oct 11 18:03:53 2011  6 relations: 58195
Tue Oct 11 18:03:53 2011  7 relations: 49883
Tue Oct 11 18:03:53 2011  8 relations: 41265
Tue Oct 11 18:03:53 2011  9 relations: 33629
Tue Oct 11 18:03:53 2011  10+ relations: 104206
Tue Oct 11 18:03:53 2011  heaviest cycle: 21 relations
Tue Oct 11 18:03:56 2011  RelProcTime: 802
Tue Oct 11 18:03:56 2011
Tue Oct 11 18:03:56 2011  commencing linear algebra
Tue Oct 11 18:03:56 2011  read 650321 cycles
Tue Oct 11 18:03:59 2011  cycles contain 2031651 unique relations
Tue Oct 11 18:04:37 2011  read 2031651 relations
Tue Oct 11 18:04:43 2011  using 20 quadratic characters above 134217650
Tue Oct 11 18:05:14 2011  building initial matrix
Tue Oct 11 18:06:07 2011  memory use: 267.1 MB
Tue Oct 11 18:06:08 2011  read 650321 cycles
Tue Oct 11 18:06:08 2011  matrix is 650144 x 650321 (194.0 MB) with weight 60903119 (93.65/col)
Tue Oct 11 18:06:08 2011  sparse part has weight 43697004 (67.19/col)
Tue Oct 11 18:06:28 2011  filtering completed in 2 passes
Tue Oct 11 18:06:29 2011  matrix is 649924 x 650101 (194.0 MB) with weight 60893986 (93.67/col)
Tue Oct 11 18:06:29 2011  sparse part has weight 43694026 (67.21/col)
Tue Oct 11 18:06:33 2011  matrix starts at (0, 0)
Tue Oct 11 18:06:33 2011  matrix is 649924 x 650101 (194.0 MB) with weight 60893986 (93.67/col)
Tue Oct 11 18:06:33 2011  sparse part has weight 43694026 (67.21/col)
Tue Oct 11 18:06:33 2011  saving the first 48 matrix rows for later
Tue Oct 11 18:06:34 2011  matrix includes 64 packed rows
Tue Oct 11 18:06:34 2011  matrix is 649876 x 650101 (186.6 MB) with weight 48127276 (74.03/col)
Tue Oct 11 18:06:34 2011  sparse part has weight 42415648 (65.24/col)
Tue Oct 11 18:06:34 2011  using block size 65536 for processor cache size 2048 kB
Tue Oct 11 18:06:39 2011  commencing Lanczos iteration (8 threads)
Tue Oct 11 18:06:39 2011  memory use: 179.0 MB
Tue Oct 11 18:06:55 2011  linear algebra at 0.5%, ETA 0h56m
Tue Oct 11 19:01:26 2011  lanczos halted after 10281 iterations (dim = 649874)
Tue Oct 11 19:01:29 2011  recovered 29 nontrivial dependencies
Tue Oct 11 19:01:29 2011  BLanczosTime: 3453
Tue Oct 11 19:01:29 2011
Tue Oct 11 19:01:29 2011  commencing square root phase
Tue Oct 11 19:01:29 2011  reading relations for dependency 1
Tue Oct 11 19:01:29 2011  read 325809 cycles
Tue Oct 11 19:01:30 2011  cycles contain 1016408 unique relations
Tue Oct 11 19:01:52 2011  read 1016408 relations
Tue Oct 11 19:02:02 2011  multiplying 1016408 relations
Tue Oct 11 19:04:21 2011  multiply complete, coefficients have about 44.60 million bits
Tue Oct 11 19:04:22 2011  initial square root is modulo 2532899
Tue Oct 11 19:07:30 2011  GCD is 1, no factor found
Tue Oct 11 19:07:30 2011  reading relations for dependency 2
Tue Oct 11 19:07:30 2011  read 326013 cycles
Tue Oct 11 19:07:32 2011  cycles contain 1017810 unique relations
Tue Oct 11 19:07:53 2011  read 1017810 relations
Tue Oct 11 19:08:04 2011  multiplying 1017810 relations
Tue Oct 11 19:10:22 2011  multiply complete, coefficients have about 44.66 million bits
Tue Oct 11 19:10:23 2011  initial square root is modulo 2586629
Tue Oct 11 19:13:31 2011  GCD is 1, no factor found
Tue Oct 11 19:13:31 2011  reading relations for dependency 3
Tue Oct 11 19:13:32 2011  read 325573 cycles
Tue Oct 11 19:13:33 2011  cycles contain 1017594 unique relations
Tue Oct 11 19:13:54 2011  read 1017594 relations
Tue Oct 11 19:14:05 2011  multiplying 1017594 relations
Tue Oct 11 19:16:24 2011  multiply complete, coefficients have about 44.65 million bits
Tue Oct 11 19:16:25 2011  initial square root is modulo 2577413
Tue Oct 11 19:19:33 2011  GCD is N, no factor found
Tue Oct 11 19:19:33 2011  reading relations for dependency 4
Tue Oct 11 19:19:33 2011  read 325623 cycles
Tue Oct 11 19:19:34 2011  cycles contain 1016058 unique relations
Tue Oct 11 19:19:56 2011  read 1016058 relations
Tue Oct 11 19:20:07 2011  multiplying 1016058 relations
Tue Oct 11 19:22:25 2011  multiply complete, coefficients have about 44.59 million bits
Tue Oct 11 19:22:26 2011  initial square root is modulo 2520841
Tue Oct 11 19:25:34 2011  GCD is 1, no factor found
Tue Oct 11 19:25:34 2011  reading relations for dependency 5
Tue Oct 11 19:25:35 2011  read 325569 cycles
Tue Oct 11 19:25:36 2011  cycles contain 1015494 unique relations
Tue Oct 11 19:25:57 2011  read 1015494 relations
Tue Oct 11 19:26:08 2011  multiplying 1015494 relations
Tue Oct 11 19:28:26 2011  multiply complete, coefficients have about 44.56 million bits
Tue Oct 11 19:28:28 2011  initial square root is modulo 2497751
Tue Oct 11 19:31:35 2011  GCD is 1, no factor found
Tue Oct 11 19:31:35 2011  reading relations for dependency 6
Tue Oct 11 19:31:35 2011  read 324394 cycles
Tue Oct 11 19:31:36 2011  cycles contain 1013926 unique relations
Tue Oct 11 19:31:58 2011  read 1013926 relations
Tue Oct 11 19:32:09 2011  multiplying 1013926 relations
Tue Oct 11 19:34:27 2011  multiply complete, coefficients have about 44.49 million bits
Tue Oct 11 19:34:28 2011  initial square root is modulo 2442827
Tue Oct 11 19:37:31 2011  GCD is N, no factor found
Tue Oct 11 19:37:31 2011  reading relations for dependency 7
Tue Oct 11 19:37:32 2011  read 325135 cycles
Tue Oct 11 19:37:33 2011  cycles contain 1015650 unique relations
Tue Oct 11 19:37:54 2011  read 1015650 relations
Tue Oct 11 19:38:05 2011  multiplying 1015650 relations
Tue Oct 11 19:40:24 2011  multiply complete, coefficients have about 44.57 million bits
Tue Oct 11 19:40:25 2011  initial square root is modulo 2506979
Tue Oct 11 19:43:32 2011  GCD is 1, no factor found
Tue Oct 11 19:43:32 2011  reading relations for dependency 8
Tue Oct 11 19:43:33 2011  read 324909 cycles
Tue Oct 11 19:43:34 2011  cycles contain 1014838 unique relations
Tue Oct 11 19:43:55 2011  read 1014838 relations
Tue Oct 11 19:44:06 2011  multiplying 1014838 relations
Tue Oct 11 19:46:24 2011  multiply complete, coefficients have about 44.53 million bits
Tue Oct 11 19:46:25 2011  initial square root is modulo 2474749
Tue Oct 11 19:49:29 2011  sqrtTime: 2880

prp76 = 1399838329285996230925527426060128191378100514730271005960430603775103015583
prp47 = 70251533325221973691000450613163058341377172463
NFS elapsed time = 61669.5920 seconds.

11138158462253729142459693322803952481934053975541044929571857670982506164165959138796589349473921819202601347739619582954834744833<131>

10189899073043492283847811489632388734820873918471<50>
1093058761663182325862385003175345056018698910310577650599643662738078200201220023<82>

N = 11138158462253729142459693322803952481934053975541044929571857670982506164165959138796589349473921819202601347739619582954834744833 (131 digits)
SNFS difficulty: 180 digits.
Divisors found:
r1=10189899073043492283847811489632388734820873918471 (pp50)
r2=1093058761663182325862385003175345056018698910310577650599643662738078200201220023 (pp82)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 39.29 hours.
Factorization parameters were as follows:
name: (47*10^178+43)/9
n: 11138158462253729142459693322803952481934053975541044929571857670982506164165959138796589349473921819202601347739619582954834744833
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 43
c1: 0
c2: 0
c3: 0
c4: 0
c5: 47000
skew: 0.25
type: snfs
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22268492
Relations: 3228400 relations
Pruned matrix : 1855112 x 1855339
Polynomial selection time: 0.00 hours.
Total sieving time: 35.79 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 3.16 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,55,55,2.5,2.5,100000
total time: 39.29 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

258006008795260155143953629183883078264201446700075700060878439096583725969073313779771560381914766891571053482449827437896032361638788293992906481604994996330276236603586942261<177>

3094835724684298386572815120341122852673816403442738454046575319003<67>
83366624838085431210186778249034161471498200759267403583313199233944387222928835815581162767824210168479063087<110>

Number: n
N=258006008795260155143953629183883078264201446700075700060878439096583725969073313779771560381914766891571053482449827437896032361638788293992906481604994996330276236603586942261
  ( 177 digits)
SNFS difficulty: 182 digits.
Divisors found:

Sun Jul 12 05:10:16 2009  prp67 factor: 3094835724684298386572815120341122852673816403442738454046575319003
Sun Jul 12 05:10:16 2009  prp110 factor: 83366624838085431210186778249034161471498200759267403583313199233944387222928835815581162767824210168479063087
Sun Jul 12 05:10:16 2009  elapsed time 02:20:56 (Msieve 1.39 - dependency 2)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 173.15 hours.
Scaled time: 449.34 units (timescale=2.595).
Factorization parameters were as follows:
name: KA_5_2_180_7
n: 258006008795260155143953629183883078264201446700075700060878439096583725969073313779771560381914766891571053482449827437896032361638788293992906481604994996330276236603586942261
m: 1000000000000000000000000000000000000
deg: 5
c5: 470
c0: 43
skew: 0.62
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [3900000, 6919261)
Primes: RFBsize:527154, AFBsize:526275, largePrimes:21057951 encountered
Relations: rels:21147738, finalFF:896232
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2222770 hash collisions in 23551262 relations
Msieve: matrix is 1239049 x 1239297 (334.1 MB)

Total sieving time: 172.51 hours.
Total relation processing time: 0.64 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,56,56,2.5,2.5,100000
total time: 173.15 hours.
 --------- CPU info (if available) ----------

42009671162595303855057696261139266529017956899865032758605278917401835912012084484130176351236603830924480912414304739942259047721198795126878145138944752813307233707845082633917<179>

724670646436597737957829265930693298467<39>
57970708996105002215788203509108410471504630076942583716286001043883185692786443798047081444061638563025160902815892854666009628608598216351<140>

Number: n
N=42009671162595303855057696261139266529017956899865032758605278917401835912012084484130176351236603830924480912414304739942259047721198795126878145138944752813307233707845082633917
  ( 179 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sat Jul 25 18:54:33 2009  prp39 factor: 724670646436597737957829265930693298467
Sat Jul 25 18:54:33 2009  prp140 factor: 57970708996105002215788203509108410471504630076942583716286001043883185692786443798047081444061638563025160902815892854666009628608598216351
Sat Jul 25 18:54:33 2009  elapsed time 03:09:32 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 216.75 hours.
Scaled time: 576.57 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_2_181_7
n: 42009671162595303855057696261139266529017956899865032758605278917401835912012084484130176351236603830924480912414304739942259047721198795126878145138944752813307233707845082633917
m: 2000000000000000000000000000000000000
deg: 5
c5: 1175
c0: 344
skew: 0.78
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [4200000, 7800409)
Primes: RFBsize:564877, AFBsize:565056, largePrimes:21409291 encountered
Relations: rels:21835602, finalFF:971958
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2386706 hash collisions in 23549779 relations
Msieve: matrix is 1431432 x 1431680 (384.4 MB)

Total sieving time: 216.03 hours.
Total relation processing time: 0.72 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,56,56,2.5,2.5,100000
total time: 216.75 hours.
 --------- CPU info (if available) ----------

815843067226594050106286024971735408180392005009792532053622523988240311120389407049584548118383206806660699084251025625633427654990978153<138>

14990506559140552677600216493430307365178011220846443<53>
54423982539077625150902763144433646867130988460610405191177775954706590639198276174971<86>

N=815843067226594050106286024971735408180392005009792532053622523988240311120389407049584548118383206806660699084251025625633427654990978153
  ( 138 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=14990506559140552677600216493430307365178011220846443 (pp53)
 r2=54423982539077625150902763144433646867130988460610405191177775954706590639198276174971 (pp86)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 265.81 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 815843067226594050106286024971735408180392005009792532053622523988240311120389407049584548118383206806660699084251025625633427654990978153
m: 1000000000000000000000000000000000000
deg: 5
c5: 47000
c0: 43
skew: 0.25
# Murphy_E = 4.112e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 17400001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2054357 x 2054583
Total sieving time: 261.14 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 4.10 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 265.81 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

53494727390486528159008212992264147716531380622810545191107714510711021592241991090347038717976059086505789281486130242482650977302773665153<140>

87982637442664964637960533877386036507983877592885813769669<59>
608014591803377868510601019579560052617765738865369670934492028817602445951594637<81>

N=53494727390486528159008212992264147716531380622810545191107714510711021592241991090347038717976059086505789281486130242482650977302773665153
  ( 140 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=87982637442664964637960533877386036507983877592885813769669 (pp59)
 r2=608014591803377868510601019579560052617765738865369670934492028817602445951594637 (pp81)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 249.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 53494727390486528159008212992264147716531380622810545191107714510711021592241991090347038717976059086505789281486130242482650977302773665153
m: 5000000000000000000000000000000000000
deg: 5
c5: 752
c0: 215
skew: 0.78
# Murphy_E = 4.188e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4450000, 16450001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1920650 x 1920877
Total sieving time: 244.31 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 3.52 hours.
Time per square root: 0.94 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 249.03 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

50471023653617468139199587062298275205416586046392588725844377575206096957566388952177208292991131834470943220945315532372599724367995875538370841389410439237989<161>

586455299616965766083936690601735002314530423911515245606116087290965493837373<78>
86061160478184507519820137376090187901817445389714620974960261255532023991709125193<83>

N=50471023653617468139199587062298275205416586046392588725844377575206096957566388952177208292991131834470943220945315532372599724367995875538370841389410439237989
  ( 161 digits)
SNFS difficulty: 188 digits.
Divisors found:
prp78 factor: 586455299616965766083936690601735002314530423911515245606116087290965493837373
prp83 factor: 86061160478184507519820137376090187901817445389714620974960261255532023991709125193
Version: Msieve v. 1.50 (SVN unknown)
Total time: 279.19 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 50471023653617468139199587062298275205416586046392588725844377575206096957566388952177208292991131834470943220945315532372599724367995875538370841389410439237989
m: 10000000000000000000000000000000000000
deg: 5
c5: 4700
c0: 43
skew: 0.39
# Murphy_E = 3.639e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4900000, 17860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2286089 x 2286337
Total sieving time: 273.59 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 5.33 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,188.000,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 279.19 hours.
 --------- CPU info (if available) ----------

11474831941113731443207467974057969561067077380051347687234534911580071876607163413352733830283739406446777433286824700641<122>

981354875644372438893894308249<30>
11692846518522856896650066130971974113304536609575734325101988145505082809852763906711273609<92>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3996468663
Step 1 took 6425ms
Step 2 took 6668ms
********** Factor found in step 2: 981354875644372438893894308249
Found probable prime factor of 30 digits: 981354875644372438893894308249
Probable prime cofactor has 92 digits

GMP-ECM 6.2.2

12236139452683547064839218266215609906020244149801382382068279310112166281808519083448306815558126135345182400963954065387615556799465406297599548035042835622659<161>

4188126489411230159108485739448875146973415797313390441721519<61>
2921626050125270301832735937606974124289085126654838870454306292668942206113560556498241605358190061<100>

12236139452683547064839218266215609906020244149801382382068279310112166281808519083448306815558126135345182400963954065387615556799465406297599548035042835622659=4188126489411230159108485739448875146973415797313390441721519*2921626050125270301832735937606974124289085126654838870454306292668942206113560556498241605358190061

cado polynomial
n: 12236139452683547064839218266215609906020244149801382382068279310112166281808519083448306815558126135345182400963954065387615556799465406297599548035042835622659
skew: 0.98
type: snfs
c0: 43
c5: 47
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 47*x^5+43
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11000000
tasks.lim1 = 11000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4188126489411230159108485739448875146973415797313390441721519 2921626050125270301832735937606974124289085126654838870454306292668942206113560556498241605358190061
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.76/1.99125
Info:Generate Free Relations: Total cpu/real time for freerel: 98.66/25.3915
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26442906
Info:Lattice Sieving: Average J: 1894.08 for 2642849 special-q, max bucket fill -bkmult 1.0,1s:1.078500
Info:Lattice Sieving: Total time: 619538s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.11/112.691
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 112.10000000000001s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 429.16/391.872
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 339.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 343.58/354.303
Info:Filtering - Merging: Merged matrix has 2206224 rows and total weight 376095252 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 315.28/90.8145
Info:Filtering - Merging: Total cpu/real time for replay: 85.03/74.5847
Info:Linear Algebra: Total cpu/real time for bwc: 85034.1/21901.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 14109.12, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (69120 iterations)
Info:Linear Algebra: Lingen CPU time 439.0, WCT time 127.7
Info:Linear Algebra: Mksol: WCT time 7457.09, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34816 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 78.59/32.7586
Info:Square Root: Total cpu/real time for sqrt: 1072.03/329.231
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.23102e+06/333241
Info:root: Cleaning up computation data in /tmp/cado.qfpuhuqz
4188126489411230159108485739448875146973415797313390441721519 2921626050125270301832735937606974124289085126654838870454306292668942206113560556498241605358190061

cado-nfs-3.0.0

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

132875890258785290685415334006478465750301789849383570593394741706064425378115180682597342554066545191182880199801330454359367502589652787120666820597391980674774333885159187467847231<183>

169430839278548269219121835128091511508369<42>
18062448514941929841212887482238437768085848577825105913782552487912053<71>
43418728679259596525110423959333997067057222886210034456603682023644083<71>

N=132875890258785290685415334006478465750301789849383570593394741706064425378115180682597342554066545191182880199801330454359367502589652787120666820597391980674774333885159187467847231
  ( 183 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=169430839278548269219121835128091511508369 (pp42)
 r2=18062448514941929841212887482238437768085848577825105913782552487912053 (pp71)
 r3=43418728679259596525110423959333997067057222886210034456603682023644083 (pp71)
Version: Msieve v. 1.47
Total time:
Scaled time: 32.97 units (timescale=1.274).
Factorization parameters were as follows:
n: 132875890258785290685415334006478465750301789849383570593394741706064425378115180682597342554066545191182880199801330454359367502589652787120666820597391980674774333885159187467847231
m: 100000000000000000000000000000000000000
deg: 5
c5: 470
c0: 43
skew: 0.62
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5700000, 21700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2492084 x 2492311
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time:

251217636838065397512121914577142528361438795839168646581597302834555181762724453575943399977895673671625808024806254661037183581443276457641418043<147>

2423244033206504669831689688771695544966224631<46>
103669970252912230954653993258459678554817192967403807772261434055846228425600750158457007119064914653<102>

p46 factor: 2423244033206504669831689688771695544966224631
p102 factor: 103669970252912230954653993258459678554817192967403807772261434055846228425600750158457007119064914653


Msieve v. 1.54 (SVN 1032M)
random seeds: 0243bfa7 20ee2b57
factoring 251217636838065397512121914577142528361438795839168646581597302834555181762724453575943399977895673671625808024806254661037183581443276457641418043 (147 digits)
searching for 15-digit factors
commencing number field sieve (147-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 4700
skew 1.00, size 9.473e-14, alpha 0.254, combined = 1.991e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 1999763 hash collisions in 34157956 relations
added 725790 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 34883746 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1149.7 MB
keeping 38842647 ideals with weight <= 200, target excess is 183587
commencing in-memory singleton removal
begin with 34883746 relations and 38842647 unique ideals
reduce to 11769077 relations and 11445976 ideals in 16 passes
max relations containing the same ideal: 101
removing 601351 relations and 546281 ideals in 55070 cliques
commencing in-memory singleton removal
begin with 11167726 relations and 11445976 unique ideals
reduce to 11139148 relations and 10870891 ideals in 9 passes
max relations containing the same ideal: 96
removing 446499 relations and 391429 ideals in 55070 cliques
commencing in-memory singleton removal
begin with 10692649 relations and 10870891 unique ideals
reduce to 10675335 relations and 10462038 ideals in 8 passes
max relations containing the same ideal: 94
relations with 0 large ideals: 3868
relations with 1 large ideals: 6687
relations with 2 large ideals: 64476
relations with 3 large ideals: 342852
relations with 4 large ideals: 1108139
relations with 5 large ideals: 2254866
relations with 6 large ideals: 3044597
relations with 7+ large ideals: 3849850
commencing 2-way merge
reduce to 6445479 relation sets and 6232182 unique ideals
commencing full merge
memory use: 708.8 MB
found 2964808 cycles, need 2964382
weight of 2964382 cycles is about 267116512 (90.11/cycle)
distribution of cycle lengths:
1 relations: 291259
2 relations: 290292
3 relations: 292796
4 relations: 268157
5 relations: 247781
6 relations: 219960
7 relations: 192932
8 relations: 166745
9 relations: 146318
10+ relations: 848142
heaviest cycle: 28 relations
commencing cycle optimization
start with 22016191 relations
pruned 666495 relations
memory use: 658.7 MB
distribution of cycle lengths:
1 relations: 291259
2 relations: 297384
3 relations: 304057
4 relations: 276102
5 relations: 255139
6 relations: 224409
7 relations: 196181
8 relations: 167960
9 relations: 146801
10+ relations: 805090
heaviest cycle: 28 relations
RelProcTime: 705
elapsed time 00:11:47


Msieve v. 1.54 (SVN 1032M)
random seeds: 15ab765f fee18e84
factoring 251217636838065397512121914577142528361438795839168646581597302834555181762724453575943399977895673671625808024806254661037183581443276457641418043 (147 digits)
searching for 15-digit factors
commencing number field sieve (147-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 4700
skew 1.00, size 9.473e-14, alpha 0.254, combined = 1.991e-11 rroots = 1

commencing linear algebra
read 2964382 cycles
cycles contain 10460362 unique relations
read 10460362 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1283.2 MB
read 2964382 cycles
matrix is 2964205 x 2964382 (1092.9 MB) with weight 318459565 (107.43/col)
sparse part has weight 253889892 (85.65/col)
filtering completed in 2 passes
matrix is 2963890 x 2964067 (1092.9 MB) with weight 318447715 (107.44/col)
sparse part has weight 253886110 (85.65/col)
matrix starts at (0, 0)
matrix is 2963890 x 2964067 (1092.9 MB) with weight 318447715 (107.44/col)
sparse part has weight 253886110 (85.65/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2963842 x 2964067 (1041.5 MB) with weight 264685302 (89.30/col)
sparse part has weight 243388162 (82.11/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 990.8 MB
linear algebra at 0.1%, ETA 3h15m
checkpointing every 920000 dimensions
lanczos halted after 46871 iterations (dim = 2963840)
recovered 39 nontrivial dependencies
BLanczosTime: 11269
elapsed time 03:07:50


Msieve v. 1.54 (SVN 1032M)
random seeds: 0fb43166 047c4879
factoring 251217636838065397512121914577142528361438795839168646581597302834555181762724453575943399977895673671625808024806254661037183581443276457641418043 (147 digits)
searching for 15-digit factors
commencing number field sieve (147-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 43
A1: 0
A2: 0
A3: 0
A4: 0
A5: 4700
skew 1.00, size 9.473e-14, alpha 0.254, combined = 1.991e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1482568 cycles
cycles contain 5231596 unique relations
read 5231596 relations
multiplying 5231596 relations
multiply complete, coefficients have about 177.07 million bits
initial square root is modulo 2263321
GCD is 1, no factor found
reading relations for dependency 2
read 1483021 cycles
cycles contain 5233410 unique relations
read 5233410 relations
multiplying 5233410 relations
multiply complete, coefficients have about 177.14 million bits
initial square root is modulo 2275451
GCD is 1, no factor found
reading relations for dependency 3
read 1482658 cycles
cycles contain 5232172 unique relations
read 5232172 relations
multiplying 5232172 relations
multiply complete, coefficients have about 177.09 million bits
initial square root is modulo 2266801
sqrtTime: 1446
p46 factor: 2423244033206504669831689688771695544966224631
p102 factor: 103669970252912230954653993258459678554817192967403807772261434055846228425600750158457007119064914653
elapsed time 00:24:07

CADO-NFS/Msieve

948833640933200693971541283326152052382126651524141002091948289504847798264673087924917134389340755740485601632800033428463083340118679816695438768453535573<156>

1279444993433679996907306963323420276485970580159468012515874188456458815409<76>
741597837970971328732867929546472770789311659252070916265846820711143363214100197<81>

948833640933200693971541283326152052382126651524141002091948289504847798264673087924917134389340755740485601632800033428463083340118679816695438768453535573=1279444993433679996907306963323420276485970580159468012515874188456458815409*741597837970971328732867929546472770789311659252070916265846820711143363214100197

cado polynomial
n: 948833640933200693971541283326152052382126651524141002091948289504847798264673087924917134389340755740485601632800033428463083340118679816695438768453535573
skew: 0.62
type: snfs
c0: 43
c5: 470
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 470*x^5+43
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13800000
tasks.lim1 = 13800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 741597837970971328732867929546472770789311659252070916265846820711143363214100197 1279444993433679996907306963323420276485970580159468012515874188456458815409
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.81/2.31817
Info:Generate Free Relations: Total cpu/real time for freerel: 102.77/26.4462
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 31015185
Info:Lattice Sieving: Average J: 1893.38 for 4650703 special-q, max bucket fill -bkmult 1.0,1s:1.093630
Info:Lattice Sieving: Total time: 1.27014e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 60.45/162.349
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 161.20000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 532.65/521.152
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 453.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 468.13/531.631
Info:Filtering - Merging: Merged matrix has 2935675 rows and total weight 500793349 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 412.56/119.641
Info:Filtering - Merging: Total cpu/real time for replay: 114.25/99.476
Info:Linear Algebra: Total cpu/real time for bwc: 154828/39565.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 25292.99, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (92160 iterations)
Info:Linear Algebra: Lingen CPU time 616.81, WCT time 177.58
Info:Linear Algebra: Mksol: WCT time 13762.15, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46080 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 100.9/43.2464
Info:Square Root: Total cpu/real time for sqrt: 843.64/264.436
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.51981e+06/91489.2
Info:root: Cleaning up computation data in /tmp/cado.b_9wqm5b
741597837970971328732867929546472770789311659252070916265846820711143363214100197 1279444993433679996907306963323420276485970580159468012515874188456458815409

cado-nfs-3.0.0

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

210559067938940383557543362785650451589686622832212292458818076500843910065552788208618289151168832006143289947790142023331735902523907793690344126850204757<156>

20326872516178755974795624079258651375948887348163970714078797248482950001037<77>
10358655409057651415258440548020324286472391561789079777314304781789389722179561<80>

210559067938940383557543362785650451589686622832212292458818076500843910065552788208618289151168832006143289947790142023331735902523907793690344126850204757=20326872516178755974795624079258651375948887348163970714078797248482950001037*10358655409057651415258440548020324286472391561789079777314304781789389722179561

cado polynomial
n: 210559067938940383557543362785650451589686622832212292458818076500843910065552788208618289151168832006143289947790142023331735902523907793690344126850204757
skew: 0.78
type: snfs
c0: 215
c5: 752
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 752*x^5+215
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15900000
tasks.lim1 = 15900000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10358655409057651415258440548020324286472391561789079777314304781789389722179561 20326872516178755974795624079258651375948887348163970714078797248482950001037
Info:Square Root: Total cpu/real time for sqrt: 1315.03/413.64
Info:Square Root: Total cpu/real time for sqrt: 1315.03/413.64
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 228.14/276.391
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 275.59999999999997s
Info:Generate Free Relations: Total cpu/real time for freerel: 237.06/62.2787
Info:Generate Factor Base: Total cpu/real time for makefb: 6.67/2.95211
Info:Filtering - Singleton removal: Total cpu/real time for purge: 741.24/868.07
Info:Filtering - Merging: Merged matrix has 4093314 rows and total weight 699230310 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1190.05/327.741
Info:Filtering - Merging: Total cpu/real time for replay: 165.26/146.218
Info:Linear Algebra: Total cpu/real time for bwc: 330628/84705.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 215628.18, WCT time 55150.48, iteration CPU time 0.41, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (128000 iterations)
Info:Linear Algebra: Lingen CPU time 919.01, WCT time 233.33
Info:Linear Algebra: Mksol: CPU time 112363.18,  WCT time 28668.72, iteration CPU time 0.43, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (64000 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 52296730
Info:Lattice Sieving: Average J: 1893.81 for 6861803 special-q, max bucket fill -bkmult 1.0,1s:1.130890
Info:Lattice Sieving: Total time: 1.78156e+06s
Info:Quadratic Characters: Total cpu/real time for characters: 148.69/61.9679
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 999.66/1008.86
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 818.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.68567e+06/188544
10358655409057651415258440548020324286472391561789079777314304781789389722179561 20326872516178755974795624079258651375948887348163970714078797248482950001037

cado-nfs-3.0.0

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

663477935824788494666093050738147217914783193816803634989617103134072298117191799321453512055544348268243496237828509997594797466760504356087<141>

14203539304945934778007887162430733<35>
46712155440985981607753930130389120385682882442511927976679692258734669248416395002564591942933159986827539<107>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 663477935824788494666093050738147217914783193816803634989617103134072298117191799321453512055544348268243496237828509997594797466760504356087 (141 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1727023116
Step 1 took 93569ms
Step 2 took 17098ms
********** Factor found in step 2: 14203539304945934778007887162430733
Found probable prime factor of 35 digits: 14203539304945934778007887162430733
Probable prime cofactor 46712155440985981607753930130389120385682882442511927976679692258734669248416395002564591942933159986827539 has 107 digits

GMP-ECM

55754317286379722382640894499858603362767118159196767070477101497130302761577715297585317261768504288599174489574923624656230772584615397704629515522429<152>

571496539501315376538225277303951<33>

97558451246320094795194976825319275460547601772500702533165280840403500356043962887607123525580700904322112276171075379<119>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=3073913501
Step 1 took 6413ms
Step 2 took 3188ms
********** Factor found in step 2: 571496539501315376538225277303951
Found probable prime factor of 33 digits: 571496539501315376538225277303951
Composite cofactor 97558451246320094795194976825319275460547601772500702533165280840403500356043962887607123525580700904322112276171075379 has 119 digits

97558451246320094795194976825319275460547601772500702533165280840403500356043962887607123525580700904322112276171075379<119>

181949313823032933310748613763147<33>
640560671296203356640940758611654814919<39>
837055403912781753081145824671876775163916280703<48>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=477635282
Step 1 took 40054ms
Step 2 took 18869ms
********** Factor found in step 2: 181949313823032933310748613763147
Found probable prime factor of 33 digits: 181949313823032933310748613763147
Composite cofactor 536184771442486125563619499042707946387131599349963893094549127287581381434604316208057 has 87 digits

Msieve v. 1.47
Mon Mar 21 18:45:10 2011
random seeds: ba474c64 13b498ba
factoring 536184771442486125563619499042707946387131599349963893094549127287581381434604316208057 (87 digits)
searching for 15-digit factors
commencing quadratic sieve (87-digit input)
using multiplier of 1
using 32kb Intel Core sieve core
sieve interval: 22 blocks of size 32768
processing polynomials in batches of 10
using a sieve bound of 1490641 (57000 primes)
using large prime bound of 119251280 (26 bits)
using double large prime bound of 344852521021920 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
57472 relations (15918 full + 41554 combined from 601165 partial), need 57096
57472 relations (15918 full + 41554 combined from 601165 partial), need 57096
sieving complete, commencing postprocessing
begin with 617082 relations
reduce to 137673 relations in 11 passes
attempting to read 137673 relations
recovered 137673 relations
recovered 114632 polynomials
attempting to build 57472 cycles
found 57472 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 15918
   length 2 : 11190
   length 3 : 10332
   length 4 : 7630
   length 5 : 5198
   length 6 : 3239
   length 7 : 1822
   length 9+: 2143
largest cycle: 24 relations
matrix is 57000 x 57472 (13.9 MB) with weight 3188459 (55.48/col)
sparse part has weight 3188459 (55.48/col)
filtering completed in 3 passes
matrix is 52464 x 52528 (12.8 MB) with weight 2926859 (55.72/col)
sparse part has weight 2926859 (55.72/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 52416 x 52528 (8.4 MB) with weight 2282468 (43.45/col)
sparse part has weight 1667870 (31.75/col)
using block size 10922 for processor cache size 256 kB
commencing Lanczos iteration
memory use: 5.1 MB
lanczos halted after 830 iterations (dim = 52416)
recovered 17 nontrivial dependencies
prp39 factor: 640560671296203356640940758611654814919
prp48 factor: 837055403912781753081145824671876775163916280703
elapsed time 00:50:26

1217701346756849677832461614369668150305153796499875136994942340709341590798737544592199784024468873700362746475285738817638631435199715690066597670379235376457726320383147945532387<181>

120068652331396651890882524893188433352610593245187551<54>
100839862245076611022674159552564089805102261386207901382561<60>
100572421435173053744752127509375514663595459490983940848464800519517<69>

Number: n
N=1217701346756849677832461614369668150305153796499875136994942340709341590798737544592199784024468873700362746475285738817638631435199715690066597670379235376457726320383147945532387  ( 181 digits)
SNFS difficulty: 203 digits.
Divisors found:

Wed Sep 29 14:22:58 2021  found factor: 100839862245076611022674159552564089805102261386207901382561
Wed Sep 29 14:26:22 2021  p54 factor: 120068652331396651890882524893188433352610593245187551
Wed Sep 29 14:26:22 2021  p60 factor: 100839862245076611022674159552564089805102261386207901382561
Wed Sep 29 14:26:22 2021  p69 factor: 100572421435173053744752127509375514663595459490983940848464800519517
Wed Sep 29 14:26:22 2021  elapsed time 02:02:34 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 47x10^202+43 = 52(201)7
#
n: 1217701346756849677832461614369668150305153796499875136994942340709341590798737544592199784024468873700362746475285738817638631435199715690066597670379235376457726320383147945532387
m: 10000000000000000000000000000000000000000
deg: 5
c5: 4700
c0: 43
skew: 0.39
# Murphy_E = 8.707e-12
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9141218 hash collisions in 59730305 relations (52673391 unique)
Msieve: matrix is 2256565 x 2256790 (786.1 MB)

Sieving start time : 2021/09/28 22:58:20
Sieving end time  : 2021/09/29 12:22:27

Total sieving time: 13hrs 24min 7secs.

Total relation processing time: 1hrs 36min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 19sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.154026] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892)
[    0.150212] smpboot: Total of 16 processors activated (102391.13 BogoMIPS)

102136167068692005128539452810917704326661885824803876828128735032705304561357759089032314144772584045026837907729752048156116217919464545711367538083751656996327444205402351304952517547862746376339179<201>

181487491329456893529699014005976048522291563291883<51>
30049111668022269060293639919135523844585639431557126784120834903582570631<74>
18728423468739666763833572416758539431513609604685681999119733206665398554423<77>

Tue Dec 15 17:32:50 2009  Msieve v. 1.43
Tue Dec 15 17:32:50 2009  random seeds: c7eef5b7 40a71adb
Tue Dec 15 17:32:50 2009  factoring
102136167068692005128539452810917704326661885824803876828128735032705304561357759089032314144772584045026837907729752048156116217919464545711367538083751656996327444205402351304952517547862746376339179
(201 digits)
Tue Dec 15 17:32:52 2009  no P-1/P+1/ECM available, skipping
Tue Dec 15 17:32:52 2009  commencing number field sieve (201-digit input)
Tue Dec 15 17:32:52 2009  R0: -50000000000000000000000000000000000000000
Tue Dec 15 17:32:52 2009  R1:  1
Tue Dec 15 17:32:52 2009  A0:  1075
Tue Dec 15 17:32:52 2009  A1:  0
Tue Dec 15 17:32:52 2009  A2:  0
Tue Dec 15 17:32:52 2009  A3:  0
Tue Dec 15 17:32:52 2009  A4:  0
Tue Dec 15 17:32:52 2009  A5:  376
Tue Dec 15 17:32:52 2009  skew 1.23, size 1.228381e-14, alpha
0.965678, combined = 5.741146e-12
Tue Dec 15 17:32:52 2009
Tue Dec 15 17:32:52 2009  commencing linear algebra
Tue Dec 15 17:32:53 2009  read 3494552 cycles
Tue Dec 15 17:33:02 2009  cycles contain 10342707 unique relations
Tue Dec 15 17:34:42 2009  read 10342707 relations
Tue Dec 15 17:35:03 2009  using 20 quadratic characters above 536870684
Tue Dec 15 17:36:16 2009  building initial matrix
Tue Dec 15 17:39:41 2009  memory use: 1331.6 MB
Tue Dec 15 17:39:44 2009  read 3494552 cycles
Tue Dec 15 17:39:49 2009  matrix is 3494250 x 3494552 (1047.8 MB) with
weight 306605268 (87.74/col)
Tue Dec 15 17:39:49 2009  sparse part has weight 236229949 (67.60/col)
Tue Dec 15 17:41:36 2009  filtering completed in 3 passes
Tue Dec 15 17:41:38 2009  matrix is 3483497 x 3483697 (1046.3 MB) with
weight 306109139 (87.87/col)
Tue Dec 15 17:41:38 2009  sparse part has weight 235953625 (67.73/col)
Tue Dec 15 17:42:10 2009  read 3483697 cycles
Tue Dec 15 17:42:14 2009  matrix is 3483497 x 3483697 (1046.3 MB) with
weight 306109139 (87.87/col)
Tue Dec 15 17:42:14 2009  sparse part has weight 235953625 (67.73/col)
Tue Dec 15 17:42:14 2009  saving the first 48 matrix rows for later
Tue Dec 15 17:42:17 2009  matrix is 3483449 x 3483697 (993.8 MB) with
weight 243574570 (69.92/col)
Tue Dec 15 17:42:17 2009  sparse part has weight 225668811 (64.78/col)
Tue Dec 15 17:42:17 2009  matrix includes 64 packed rows
Tue Dec 15 17:42:17 2009  using block size 65536 for processor cache
size 6144 kB
Tue Dec 15 17:42:37 2009  commencing Lanczos iteration (5 threads)
Tue Dec 15 17:42:37 2009  memory use: 1100.4 MB
Tue Dec 15 17:42:57 2009  linear algebra at 0.0%, ETA 22h53m
Wed Dec 16 16:00:00 2009  lanczos halted after 55088 iterations (dim = 3483449)
Wed Dec 16 16:00:09 2009  recovered 39 nontrivial dependencies
Wed Dec 16 16:00:09 2009  BLanczosTime: 80837
Wed Dec 16 16:00:09 2009  elapsed time 22:27:19
Wed Dec 16 16:52:37 2009
Wed Dec 16 16:52:37 2009
Wed Dec 16 16:52:37 2009  Msieve v. 1.43
Wed Dec 16 16:52:37 2009  random seeds: 0a15e1d6 f5d23238
Wed Dec 16 16:52:37 2009  factoring
102136167068692005128539452810917704326661885824803876828128735032705304561357759089032314144772584045026837907729752048156116217919464545711367538083751656996327444205402351304952517547862746376339179
(201 digits)
Wed Dec 16 16:52:40 2009  no P-1/P+1/ECM available, skipping
Wed Dec 16 16:52:40 2009  commencing number field sieve (201-digit input)
Wed Dec 16 16:52:40 2009  R0: -50000000000000000000000000000000000000000
Wed Dec 16 16:52:40 2009  R1:  1
Wed Dec 16 16:52:40 2009  A0:  1075
Wed Dec 16 16:52:40 2009  A1:  0
Wed Dec 16 16:52:40 2009  A2:  0
Wed Dec 16 16:52:40 2009  A3:  0
Wed Dec 16 16:52:40 2009  A4:  0
Wed Dec 16 16:52:40 2009  A5:  376
Wed Dec 16 16:52:40 2009  skew 1.23, size 1.228381e-14, alpha
0.965678, combined = 5.741146e-12
Wed Dec 16 16:52:40 2009
Wed Dec 16 16:52:40 2009  commencing square root phase
Wed Dec 16 16:52:40 2009  reading relations for dependency 1
Wed Dec 16 16:52:41 2009  read 1742548 cycles
Wed Dec 16 16:52:45 2009  cycles contain 5168802 unique relations
Wed Dec 16 16:53:42 2009  read 5168802 relations
Wed Dec 16 16:54:22 2009  multiplying 5168802 relations
Wed Dec 16 17:00:50 2009  multiply complete, coefficients have about
169.25 million bits
Wed Dec 16 17:00:51 2009  initial square root is modulo 1186001
Wed Dec 16 17:15:18 2009  reading relations for dependency 2
Wed Dec 16 17:15:19 2009  read 1741131 cycles
Wed Dec 16 17:15:24 2009  cycles contain 5164836 unique relations
Wed Dec 16 17:16:20 2009  read 5164836 relations
Wed Dec 16 17:17:01 2009  multiplying 5164836 relations
Wed Dec 16 17:23:31 2009  multiply complete, coefficients have about
169.12 million bits
Wed Dec 16 17:23:33 2009  initial square root is modulo 1173121
Wed Dec 16 17:38:01 2009  reading relations for dependency 3
Wed Dec 16 17:38:01 2009  read 1741280 cycles
Wed Dec 16 17:38:06 2009  cycles contain 5166270 unique relations
Wed Dec 16 17:39:02 2009  read 5166270 relations
Wed Dec 16 17:39:43 2009  multiplying 5166270 relations
Wed Dec 16 17:46:10 2009  multiply complete, coefficients have about
169.17 million bits
Wed Dec 16 17:46:12 2009  initial square root is modulo 1177921
Wed Dec 16 18:00:39 2009  sqrtTime: 4079
Wed Dec 16 18:00:40 2009  prp51 factor:
181487491329456893529699014005976048522291563291883
Wed Dec 16 18:00:40 2009  prp74 factor:
30049111668022269060293639919135523844585639431557126784120834903582570631
Wed Dec 16 18:00:40 2009  prp77 factor:
18728423468739666763833572416758539431513609604685681999119733206665398554423
Wed Dec 16 18:00:40 2009  elapsed time 01:08:03

ggnfs-lasieve4I14e on the RSALS grid + msieve

456630716731954861550081011744648001813285612104713833186855865973529237631616772648941325677808854148346608689634701661800058101181470922165493229384713638581703584813937<171>

98650937292094816897034601331839047<35>

4628751933495780309454497934984103715466024161901412543202028672163985639763234755291465688702254412784935206430080117966901483940532871<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=60193973
Step 1 took 60192ms
Step 2 took 23777ms
********** Factor found in step 2: 98650937292094816897034601331839047
Found probable prime factor of 35 digits: 98650937292094816897034601331839047
Composite cofactor 4628751933495780309454497934984103715466024161901412543202028672163985639763234755291465688702254412784935206430080117966901483940532871 has 136 digits

4628751933495780309454497934984103715466024161901412543202028672163985639763234755291465688702254412784935206430080117966901483940532871<136>

2420090486748678316742986245056357563778054897264021<52>
1912635894748867372404397157778656336545280473721961538088608433112194239122780231851<85>

Number: n
N=4628751933495780309454497934984103715466024161901412543202028672163985639763234755291465688702254412784935206430080117966901483940532871
  ( 136 digits)
Divisors found:

Fri May  4 16:03:34 2012  prp52 factor: 2420090486748678316742986245056357563778054897264021
Fri May  4 16:03:34 2012  prp85 factor: 1912635894748867372404397157778656336545280473721961538088608433112194239122780231851
Fri May  4 16:03:34 2012  elapsed time 04:27:44 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.025).
Factorization parameters were as follows:
name: KA_52227_205
n: 4628751933495780309454497934984103715466024161901412543202028672163985639763234755291465688702254412784935206430080117966901483940532871
skew: 122329.98
# norm 9.08e+17
c5: 443340
c4: 1268136627
c3: -32728700878306119
c2: -441441048036398258386
c1: 264278731978105482234824313
c0: -7629877432150014929507443757087
# alpha -4.87
Y1: 906733924307773
Y0: -100866138685951932249048474
# Murphy_E 3.61e-11
# M 4526129735633557882809894673966544169742849201937595226563078127644230678607033103297579163210985359327061610361176527840195861917954134
type: gnfs
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 13460000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3237457 hash collisions in 23620435 relations (20982027 unique)
Msieve: matrix is 1225076 x 1225301 (354.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9400000,9400000,28,28,53,53,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399952)
Calibrating delay using timer specific routine.. 4799.86 BogoMIPS (lpj=2399932)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953)
Total of 4 processors activated (19200.19 BogoMIPS).

334140399016235812019252178623675677014889616879980193028976394143382579674700686307460077037601117511305303018861937064994791009617492967407059431309964060398744025838419<171>

226585353853516344110438461330178490169800047<45>
1474677834791793350062938826598907061089386180152281027841891880950802658178765432173124795808343417538582469932439904651728477<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3519084533
Step 1 took 19410ms
Step 2 took 8227ms
********** Factor found in step 2: 226585353853516344110438461330178490169800047
Found probable prime factor of 45 digits: 226585353853516344110438461330178490169800047

60554561266489136063941841283533041403860373343897421451708050052135752299941391791090255586149385978270792688761547155996332880450851647846676873<146>

350509031277813188580651032049757656030471752352139<51>
172761771774415813504242252225298057057269317991572444295288623664425431867685037637679026482107<96>

60554561266489136063941841283533041403860373343897421451708050052135752299941391791090255586149385978270792688761547155996332880450851647846676873=350509031277813188580651032049757656030471752352139*172761771774415813504242252225298057057269317991572444295288623664425431867685037637679026482107

cado polynomial
n: 60554561266489136063941841283533041403860373343897421451708050052135752299941391791090255586149385978270792688761547155996332880450851647846676873
skew: 477014.433
c0: -2858554928337906226769230112508384
c1: 17719816418194353610307603976
c2: 49373623492584335644480
c3: -17161288237830892
c4: -85135080277
c5: -151800
Y0: -13063111869118298847411684065
Y1: 1119375529404534893977
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.639e-07
# f(x) = -151800*x^5-85135080277*x^4-17161288237830892*x^3+49373623492584335644480*x^2+17719816418194353610307603976*x-2858554928337906226769230112508384
# g(x) = 1119375529404534893977*x-13063111869118298847411684065

cado parameters (extracts)
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 172761771774415813504242252225298057057269317991572444295288623664425431867685037637679026482107 350509031277813188580651032049757656030471752352139
Info:Square Root: Total cpu/real time for sqrt: 3283.52/1007.01
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 225.76/271.57
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 271.0s
Info:Generate Factor Base: Total cpu/real time for makefb: 18.48/4.91914
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78359/43.550/52.539/57.500/0.898
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63794/42.570/47.167/53.290/1.259
Info:Polynomial Selection (size optimized): Total time: 40747.9
Info:Quadratic Characters: Total cpu/real time for characters: 143.87/63.1175
Info:Filtering - Singleton removal: Total cpu/real time for purge: 826.84/933.179
Info:Square Root: Total cpu/real time for sqrt: 3283.52/1007.01
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6393.79
Info:Polynomial Selection (root optimized): Rootsieve time: 6391.41
Info:Filtering - Merging: Merged matrix has 3653014 rows and total weight 623361733 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 973.43/273.924
Info:Filtering - Merging: Total cpu/real time for replay: 158.39/142.02
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49999829
Info:Lattice Sieving: Average J: 3814.33 for 1320038 special-q, max bucket fill -bkmult 1.0,1s:1.164310
Info:Lattice Sieving: Total time: 1.35192e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 245264/62951
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 157895.59, WCT time 40372.28, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (114176 iterations)
Info:Linear Algebra: Lingen CPU time 796.46, WCT time 202.19
Info:Linear Algebra: Mksol: CPU time 85123.15,  WCT time 21817.35, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (57344 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 502.34/127.387
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1039.01/1032.35
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 859.4000000000002s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.86817e+06/525.093
172761771774415813504242252225298057057269317991572444295288623664425431867685037637679026482107 350509031277813188580651032049757656030471752352139

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

3887344951435085583664218016716417755076616864763494116199338583140512866726267990121314304092861511154037184875608810763545465069335586344031826525073258747044686000371491115537986086057434831<193>

465925285524751240146176761<27>
8343279646342737639489797984627227112777479199556118123962438580401927581891785580576092629945879671587168658678802961604349945432557082193626651404694242130921316871<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=634734267
Step 1 took 23631ms
Step 2 took 9616ms
********** Factor found in step 2: 465925285524751240146176761
Found probable prime factor of 27 digits: 465925285524751240146176761

1688293180081167470969333555547347040545121618559185282747379867806219293150950934715533421680686099931609032066017698084697800119977700081915842783786726194796344903691230402585845809779583939367<196>

19554237732998916240778379140396257417157147186034973433819169144503353623361168035848495773783559433825788808109921346964542804935116094497768831389107066534736859754184047255200713<182>

3264798148964768212139372520345479363<37>

5989417060653305985462361706096315951563853225337552860617594468872931476850661384288094571545912156584755932447116527075980724169232912383416451<145>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1833322332
Step 1 took 22756ms
Step 2 took 8925ms
********** Factor found in step 2: 3264798148964768212139372520345479363
Found probable prime factor of 37 digits: 3264798148964768212139372520345479363

5989417060653305985462361706096315951563853225337552860617594468872931476850661384288094571545912156584755932447116527075980724169232912383416451<145>

1108768826852631431890084208579381851178954471<46>
5401862782934616873846942177204281835668296783775006893149853564400292172963674515456107425378853381<100>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1529307525
Step 1 took 38591ms
Step 2 took 23243ms
********** Factor found in step 2: 1108768826852631431890084208579381851178954471
Found probable prime factor of 46 digits: 1108768826852631431890084208579381851178954471
Probable prime cofactor 

565237142029968744302004365692615373661588097410511576073409018639111517908576178912894550101369072959925143254541825986434508317437351358867001117<147>

72086203285121711860030844786993785543965689<44>
4838813697299341809196336685926065463879192781<46>
1620464936588172681022008239407052399423333542162761076313<58>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3992743599
Step 1 took 35958ms
Step 2 took 15996ms
********** Factor found in step 2: 72086203285121711860030844786993785543965689
Found probable prime factor of 44 digits: 72086203285121711860030844786993785543965689
Composite cofactor 

prp46 factor: 4838813697299341809196336685926065463879192781
prp58 factor: 1620464936588172681022008239407052399423333542162761076313

6359842902957634915305086479333480962295237350544664962959504425786572257592105174552390412965865452427227780158660549414700723469618679038212531998568906115539410275858731335690270997<184>

36400198404372523802554575718026960781873<41>

174720006531438782706301937836921840053136511856501009417186329382277265719743159451583450609479620045874791183663685619985644098365964304689189<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3898059568
Step 1 took 22778ms
Step 2 took 9233ms
********** Factor found in step 2: 36400198404372523802554575718026960781873
Found probable prime factor of 41 digits: 36400198404372523802554575718026960781873

174720006531438782706301937836921840053136511856501009417186329382277265719743159451583450609479620045874791183663685619985644098365964304689189<144>

704743468242964361073839490004214161346876568790241249<54>
247920008350049803200320171120439672982155440622656405363624726166110118910245401226277061<90>

Factors:

704743468242964361073839490004214161346876568790241249
247920008350049803200320171120439672982155440622656405363624726166110118910245401226277061


GNFS Polynomial:

$ cat ../52227_214/c145.poly
n: 174720006531438782706301937836921840053136511856501009417186329382277265719743159451583450609479620045874791183663685619985644098365964304689189
skew: 162665.06
c0: -31449182485077235897624043387586
c1: -1778954216914191961486161555
c2: -14963808765366739722290
c3: 168060904968922825
c4: 197256046626
c5: 415800
Y0: -5822343715365318228164174820
Y1: 1342521853190297325373
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.954e-07
# f(x) = 415800*x^5+197256046626*x^4+168060904968922825*x^3-14963808765366739722290*x^2-1778954216914191961486161555*x-31449182485077235897624043387586
# g(x) = 1342521853190297325373*x-5822343715365318228164174820


(logfile is brief because the linear algebra and characters steps were run by hand.)

CADO-NFS 3.0.0-dev with MPI support

6 Google Cloud compute instances with 8 virtual CPUs and 30GB RAM

22339634029474975500390688401768659081914909863500459626186337215151482997030475326968192212321748164851257528757641197829715547520179242717734784313251586684290904262206561409151927750172751<191>

10986723313191828331266319890381271944096911413861659347433944270366548057670805386131938058861316857336829048601721179565722974474939940145585591987540541563618523091355092253910466700514949974832492459037<206>

1632666572228162110801178493017573621499420036671<49>
6729312340974697326815308356357444345194250870021760277916902408845070600065222217812345704837062817094801471243496213359089233429715375086668766435784400547<157>

#
# N = 47x10^216+43 = 52(215)7
#
n: 10986723313191828331266319890381271944096911413861659347433944270366548057670805386131938058861316857336829048601721179565722974474939940145585591987540541563618523091355092253910466700514949974832492459037
m: 1000000000000000000000000000000000000
deg: 6
c6: 47
c0: 43
skew: 0.99
# Murphy_E = 2.436e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 10986723313191828331266319890381271944096911413861659347433944270366548057670805386131938058861316857336829048601721179565722974474939940145585591987540541563618523091355092253910466700514949974832492459037 (206 digits)
Using B1=51160000, B2=288593074786, polynomial Dickson(12), sigma=1166997977
Step 1 took 285083ms
Step 2 took 65536ms
********** Factor found in step 2: 1632666572228162110801178493017573621499420036671
Found probable prime factor of 49 digits: 1632666572228162110801178493017573621499420036671
Probable prime cofactor 6729312340974697326815308356357444345194250870021760277916902408845070600065222217812345704837062817094801471243496213359089233429715375086668766435784400547 has 157 digits

1544189051142286009251152950158477061027553324293112416335338601805958115586497184978665244168861379987175282230895514659614626209017149269533465875889510749240986884112582779<175>

61150554081996696213260419936129<32>

25252249539254950577870796723384553438848291354280885986364152598973432412337650252875342921370923106189487952948248725649520705965983904953851<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2746588095
Step 1 took 23659ms
Step 2 took 8983ms
********** Factor found in step 2: 61150554081996696213260419936129
Found probable prime factor of 32 digits: 61150554081996696213260419936129

25252249539254950577870796723384553438848291354280885986364152598973432412337650252875342921370923106189487952948248725649520705965983904953851<143>

838438790875247949014178964561319411<36>
30118178946484663748582134929074197227514028357380846654900653119553110633009557255330290851534543568878041<107>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1862088691
Step 1 took 28516ms
Step 2 took 18859ms
********** Factor found in step 2: 838438790875247949014178964561319411
Found probable prime factor of 36 digits: 838438790875247949014178964561319411
Probable prime cofactor 30118178946484663748582134929074197227514028357380846654900653119553110633009557255330290851534543568878041 has 107 digits

GMP-ECM 7.0

1736883050008753711305335933906106225425915267443654764777270220830953765988424654446040191252692917167411389546733728600725558417074202819698331138126598898408707817528904528703249<181>

64139099411512483735734689058973886231861709647975892911235232729666133438150602978313742564082597502875087713898980411944162714759596566474997498706994720278108154483084416875034287<182>

216150932218688931767213670401582043908388371<45>
296732929870597441061129480056758072475887524343205899658220399676587458649596125922494671562647458790495990651283950903394280342790881397<138>

Number: 52227_220
N = 64139099411512483735734689058973886231861709647975892911235232729666133438150602978313742564082597502875087713898980411944162714759596566474997498706994720278108154483084416875034287 (182 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=216150932218688931767213670401582043908388371 (pp45)
r2=296732929870597441061129480056758072475887524343205899658220399676587458649596125922494671562647458790495990651283950903394280342790881397 (pp138)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 42.69 hours.
Factorization parameters were as follows:
n: 64139099411512483735734689058973886231861709647975892911235232729666133438150602978313742564082597502875087713898980411944162714759596566474997498706994720278108154483084416875034287
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 47
c0: 43
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30996058
Relations: 6965310 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 21.83 hours.
Total relation processing time: 0.53 hours.
Pruned matrix : 6172976 x 6173201
Matrix solve time: 20.17 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 42.69 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

109426094856439509315360324974669846836552330204572138495621161994825402283488078166876368295201421391733779683568255132893877125247728301687600158172073825758807330859813173493837<180>

962177433416421552962946831838957236819142094652133376451079<60>
113727563187486336356566368508997929967796173389493485858628089167914184788153318187159284653341039512905517333854971403<120>

Number: 52227_222
N = 109426094856439509315360324974669846836552330204572138495621161994825402283488078166876368295201421391733779683568255132893877125247728301687600158172073825758807330859813173493837 (180 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=962177433416421552962946831838957236819142094652133376451079 (pp60)
r2=113727563187486336356566368508997929967796173389493485858628089167914184788153318187159284653341039512905517333854971403 (pp120)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 98.87 hours.
Factorization parameters were as follows:
n: 109426094856439509315360324974669846836552330204572138495621161994825402283488078166876368295201421391733779683568255132893877125247728301687600158172073825758807330859813173493837
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4700
c0: 43
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: 33933876
Relations: 10119848 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 32.48 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 8606733 x 8606958
Matrix solve time: 65.72 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 98.87 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

663774667419748077265873496553303082273095547754621754668916733227462598054819277876610231890280444135128037561736850583764530296022935461435405541062970093070940201043814119042473350697766287054758190810851<207>

863952022051990399971949202644875455032473625848477714968837624924673539482304166992068886888444105915703459612387559400551146529178741251667302825516965258237492367706063327152934400278108491901<195>

3688434157557861611083067851664033079183915461686902642780173184537206865883180525411439638921373791697828189692025444833462319366743774653051659047283164771937803239452777878636348889<184>

245281334198938937504035412003010777680669327228799781035253456402033708885235897430940776048348564026303988612924976170410590972088534146507083849242425453341126406998272613470256360601<186>

4579855604267605206899612723259333042042919239178188679165275166937002263300161738822182967120416166212907520276037907155537064542268140789400302045268752653356293532487290595646031066355165736829176376444077<208>

23857490361270271041249564113464333<35>
191967199186316881022662917759118301211788445931548357602865800054496636075980742301492497147996585627894620125671628108025602369260654177554019254016252031769703080044884769<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1272143901
Step 1 took 27483ms
Step 2 took 10284ms
********** Factor found in step 2: 23857490361270271041249564113464333
Found probable prime factor of 35 digits: 23857490361270271041249564113464333

773796278390796724791946155810007074568029664253268572445253116761006750986038317276501366050261499020179192063837972829627384021095331171753814046637502881276921221567605153534676614087305653041312395049592649<210>

202654019203168860623886988333945367254083902153505694795332213012917663884823915598195315895576078775357559826075915746790391966501095899141458542434066577140232598147915067726655884593901917257<195>

170150865908914612487980314637569562916003<42>

1191025494467091806186381109577393304345296829936645520387123768684005791844316972494045205725580356891857511025665902945423184043614222559949842058704419<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3263485753
Step 1 took 17497ms
Step 2 took 6826ms
********** Factor found in step 2: 170150865908914612487980314637569562916003
Found probable prime factor of 42 digits: 170150865908914612487980314637569562916003
Composite cofactor 

185267518512712081282159042950543492896579360963996891115576979695715724031886057732548277586118316308404761698271099083228786022966041957854128882323932547969879388173717870070083864655640256261050074987<204>

5348094581384103251170882210827544590523963197563027604702537802891979314008075517634307839748922689031269454570013965322874307552670377827164037132927095889162434691748919875661973034408784882524940075252173888184042341<220>

172733318358630186066157080963987310049<39>

30961569152978060346980487791272823094115692341008871781560504664111422468553946272006314504557147469246670426758460756301235951562385031105869666434971558581898570340265910257903109<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2442465174
Step 1 took 30647ms
Step 2 took 11071ms
********** Factor found in step 2: 172733318358630186066157080963987310049
Found probable prime factor of 39 digits: 172733318358630186066157080963987310049

30961569152978060346980487791272823094115692341008871781560504664111422468553946272006314504557147469246670426758460756301235951562385031105869666434971558581898570340265910257903109<182>

607509498057452833101207343535366753<36>

50964749114177620844503629697595088797698753921964189493534125874581093439535939065504581511432777485878675591886854263476527771533440784862588453<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2158528424
Step 1 took 22738ms
Step 2 took 8945ms
********** Factor found in step 2: 607509498057452833101207343535366753
Found probable prime factor of 36 digits: 607509498057452833101207343535366753

50964749114177620844503629697595088797698753921964189493534125874581093439535939065504581511432777485878675591886854263476527771533440784862588453<146>

123261157125126827087921351365082762167977848413007137717357<60>
413469663135171397095420328940919443639383531430919324911309744514611409873023135954329<87>

50964749114177620844503629697595088797698753921964189493534125874581093439535939065504581511432777485878675591886854263476527771533440784862588453=123261157125126827087921351365082762167977848413007137717357*413469663135171397095420328940919443639383531430919324911309744514611409873023135954329

cado polynomial
n: 50964749114177620844503629697595088797698753921964189493534125874581093439535939065504581511432777485878675591886854263476527771533440784862588453
skew: 1572780.715
c0: 55616678744383714997680909077972825
c1: 466205175734055403583707083657
c2: -725218629767072662653376
c3: -420625486782220283
c4: 130295994125
c5: 29400
Y0: -24391883566335375675796420120
Y1: 21211686086688945577
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.667e-07
# f(x) = 29400*x^5+130295994125*x^4-420625486782220283*x^3-725218629767072662653376*x^2+466205175734055403583707083657*x+55616678744383714997680909077972825
# g(x) = 21211686086688945577*x-24391883566335375675796420120

cado parameters (extracts)
tasks.I = 13
tasks.lim0 = 10000000
tasks.lim1 = 20000000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 87
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 123261157125126827087921351365082762167977848413007137717357 413469663135171397095420328940919443639383531430919324911309744514611409873023135954329
Info:Square Root: Total cpu/real time for sqrt: 4433.05/1353.42
Info:Generate Free Relations: Total cpu/real time for freerel: 502.8/127.247
Info:Generate Factor Base: Total cpu/real time for makefb: 18.45/4.90754
Info:Quadratic Characters: Total cpu/real time for characters: 139.12/60.6325
Info:Linear Algebra: Total cpu/real time for bwc: 226938/58102.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 146132.15, WCT time 37296.09, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (111104 iterations)
Info:Linear Algebra: Lingen CPU time 776.45, WCT time 197.01
Info:Linear Algebra: Mksol: CPU time 78640.08,  WCT time 20090.65, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55808 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 829.19/936.919
Info:Square Root: Total cpu/real time for sqrt: 4433.05/1353.42
Info:Filtering - Merging: Merged matrix has 3539689 rows and total weight 604397321 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 918.04/258.899
Info:Filtering - Merging: Total cpu/real time for replay: 151.41/130.726
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6597.11
Info:Polynomial Selection (root optimized): Rootsieve time: 6594.69
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1035.86/1020.7
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 854.5999999999999s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49307088
Info:Lattice Sieving: Average J: 3886.09 for 1194503 special-q, max bucket fill -bkmult 1.0,1s:1.140090
Info:Lattice Sieving: Total time: 1.25448e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 223.85/277.272
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 276.6s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78371/43.650/52.517/57.470/0.896
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63732/43.030/47.126/53.400/1.240
Info:Polynomial Selection (size optimized): Total time: 40793.2
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.66516e+06/494.56
123261157125126827087921351365082762167977848413007137717357 413469663135171397095420328940919443639383531430919324911309744514611409873023135954329

cado-nfs-3.0.0

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

67132935700341609493486724450050473530673764201736913977285511479263106742663718058078766814660645970994171145577153757243947622359734169006108146884559678114356780125063655525608071143150563210308743<200>