8259167497001227295555722089636797747824863844185646212387686387846122871661527874465817<88>

1233007779881880875035407115818363187<37>
6698390417124890574735650487744339123531225655343491<52>

Thu Jan 14 13:14:20 2010  Msieve v. 1.42
Thu Jan 14 13:14:20 2010  random seeds: bcef6280 83069caa
Thu Jan 14 13:14:20 2010  factoring 8259167497001227295555722089636797747824863844185646212387686387846122871661527874465817 (88 digits)
Thu Jan 14 13:14:21 2010  searching for 15-digit factors
Thu Jan 14 13:14:21 2010  commencing quadratic sieve (88-digit input)
Thu Jan 14 13:14:21 2010  using multiplier of 1
Thu Jan 14 13:14:21 2010  using 32kb Intel Core sieve core
Thu Jan 14 13:14:21 2010  sieve interval: 28 blocks of size 32768
Thu Jan 14 13:14:21 2010  processing polynomials in batches of 8
Thu Jan 14 13:14:21 2010  using a sieve bound of 1537153 (58043 primes)
Thu Jan 14 13:14:21 2010  using large prime bound of 122972240 (26 bits)
Thu Jan 14 13:14:21 2010  using double large prime bound of 364462296550480 (42-49 bits)
Thu Jan 14 13:14:21 2010  using trial factoring cutoff of 49 bits
Thu Jan 14 13:14:21 2010  polynomial 'A' values have 11 factors
Thu Jan 14 14:14:49 2010  58184 relations (15542 full + 42642 combined from 620546 partial), need 58139
Thu Jan 14 14:14:50 2010  begin with 636088 relations
Thu Jan 14 14:14:50 2010  reduce to 141945 relations in 10 passes
Thu Jan 14 14:14:50 2010  attempting to read 141945 relations
Thu Jan 14 14:14:52 2010  recovered 141945 relations
Thu Jan 14 14:14:52 2010  recovered 120698 polynomials
Thu Jan 14 14:14:53 2010  attempting to build 58184 cycles
Thu Jan 14 14:14:53 2010  found 58184 cycles in 5 passes
Thu Jan 14 14:14:53 2010  distribution of cycle lengths:
Thu Jan 14 14:14:53 2010     length 1 : 15542
Thu Jan 14 14:14:53 2010     length 2 : 10922
Thu Jan 14 14:14:53 2010     length 3 : 10379
Thu Jan 14 14:14:53 2010     length 4 : 7952
Thu Jan 14 14:14:53 2010     length 5 : 5381
Thu Jan 14 14:14:53 2010     length 6 : 3471
Thu Jan 14 14:14:53 2010     length 7 : 2113
Thu Jan 14 14:14:53 2010     length 9+: 2424
Thu Jan 14 14:14:53 2010  largest cycle: 20 relations
Thu Jan 14 14:14:53 2010  matrix is 58043 x 58184 (13.8 MB) with weight 3392732 (58.31/col)
Thu Jan 14 14:14:53 2010  sparse part has weight 3392732 (58.31/col)
Thu Jan 14 14:14:54 2010  filtering completed in 3 passes
Thu Jan 14 14:14:54 2010  matrix is 54072 x 54136 (13.0 MB) with weight 3199411 (59.10/col)
Thu Jan 14 14:14:54 2010  sparse part has weight 3199411 (59.10/col)
Thu Jan 14 14:14:54 2010  saving the first 48 matrix rows for later
Thu Jan 14 14:14:54 2010  matrix is 54024 x 54136 (8.8 MB) with weight 2582801 (47.71/col)
Thu Jan 14 14:14:54 2010  sparse part has weight 1983334 (36.64/col)
Thu Jan 14 14:14:54 2010  matrix includes 64 packed rows
Thu Jan 14 14:14:54 2010  using block size 21654 for processor cache size 1024 kB
Thu Jan 14 14:14:55 2010  commencing Lanczos iteration
Thu Jan 14 14:14:55 2010  memory use: 8.8 MB
Thu Jan 14 14:15:14 2010  lanczos halted after 857 iterations (dim = 54020)
Thu Jan 14 14:15:14 2010  recovered 14 nontrivial dependencies
Thu Jan 14 14:15:15 2010  prp37 factor: 1233007779881880875035407115818363187
Thu Jan 14 14:15:15 2010  prp52 factor: 6698390417124890574735650487744339123531225655343491
Thu Jan 14 14:15:15 2010  elapsed time 01:00:55

948197835045508511805406768031784968812843721949134383771098994115929639164299500128691032089725835171<102>

4304205963669468212746778927772343317082708687<46>
220295646409341582692251962746297956577018232702551415533<57>

SNFS difficulty: 110 digits.
Divisors found:
 r1=4304205963669468212746778927772343317082708687 (pp46)
 r2=220295646409341582692251962746297956577018232702551415533 (pp57)
Version: Msieve v. 1.44 SVN157
Total time: 0.54 hours.
Scaled time: 1.29 units (timescale=2.400).
Factorization parameters were as follows:
name: 84443_109
n: 948197835045508511805406768031784968812843721949134383771098994115929639164299500128691032089725835171
m: 2000000000000000000000
deg: 5
c5: 23750
c0: -13
skew: 0.22
type: snfs
lss: 1
rlim: 490000
alim: 490000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 445001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 46733 x 46958
Total sieving time: 0.52 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,5,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,50000
total time: 0.54 hours.

64285797189195068627578408355656751895426358340429185418093299899034962450289837083721831696531<95>

2214449042405219761629079369956721<34>
29030154209089935996330580428013131065536995616170502543340611<62>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 64285797189195068627578408355656751895426358340429185418093299899034962450289837083721831696531 (95 digits)
Using B1=2068000, B2=2854078510, polynomial Dickson(6), sigma=2360062075
Step 1 took 12687ms
Step 2 took 6250ms
********** Factor found in step 2: 2214449042405219761629079369956721
Found probable prime factor of 34 digits: 2214449042405219761629079369956721
Probable prime cofactor 29030154209089935996330580428013131065536995616170502543340611 has 62 digits

299073288217830628352605522961763119098680882829154816415254689207202802128494745636062795029314738459<102>

2831078560026612646653011777651349446981349413<46>
105639346233832269832395387243247641822369446232589434943<57>

Number: 84443_113
N=299073288217830628352605522961763119098680882829154816415254689207202802128494745636062795029314738459
  ( 102 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=2831078560026612646653011777651349446981349413 (pp46)
 r2=105639346233832269832395387243247641822369446232589434943 (pp57)
Version: Msieve v. 1.43
Total time: 0.73 hours.
Scaled time: 0.81 units (timescale=1.100).
Factorization parameters were as follows:
n: 299073288217830628352605522961763119098680882829154816415254689207202802128494745636062795029314738459
m: 20000000000000000000000
deg: 5
c5: 2375
c0: -13
skew: 0.35
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 640001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73397 x 73645
Total sieving time: 0.69 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,50000
total time: 0.73 hours.
 --------- CPU info (if available) ----------

GGNFS + msieve v1.43 w/factMsieve.pl

Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin

50359808272071234222104091518353440945349733481993512354819387921628631831964541900665941219<92>

152940256195229686962129759347413<33>
329277650795788268679351960696120852051878206025867670453463<60>

Number: 84443_116
N=50359808272071234222104091518353440945349733481993512354819387921628631831964541900665941219
  ( 92 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=152940256195229686962129759347413 (pp33)
 r2=329277650795788268679351960696120852051878206025867670453463 (pp60)
Version: Msieve-1.40
Total time: 1.37 hours.
Scaled time: 2.70 units (timescale=1.976).
Factorization parameters were as follows:
name: 84443_116
n: 50359808272071234222104091518353440945349733481993512354819387921628631831964541900665941219
m: 100000000000000000000000
deg: 5
c5: 760
c0: -13
skew: 0.44
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 525001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65126 x 65358
Total sieving time: 1.32 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,117.000,5,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 1.37 hours.
 --------- CPU info (if available) ----------

819848975188781014023732470334412081984897518878101402373247033441208198489751887810140237324703344120819848975188781<117>

38422132136196282467850245178502525853<38>
21337935445191680952260858863070800750355501802901116397406916747102371092717777<80>

N=819848975188781014023732470334412081984897518878101402373247033441208198489751887810140237324703344120819848975188781
  ( 117 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=38422132136196282467850245178502525853 (pp38)
 r2=21337935445191680952260858863070800750355501802901116397406916747102371092717777 (pp80)
Version: Msieve-1.40
Total time: 1.05 hours.
Scaled time: 1.97 units (timescale=1.872).
Factorization parameters were as follows:
n: 819848975188781014023732470334412081984897518878101402373247033441208198489751887810140237324703344120819848975188781
m: 200000000000000000000000
deg: 5
c5: 2375
c0: -13
skew: 0.35
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 82013 x 82239
Total sieving time: 1.01 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 1.05 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

109441945479115442273594959644690436881900387006023502931152512632479001049316737609177680103989027<99>

134540358503683993503972490452802694756459765233<48>
813450675293976530246943815573948510173217342491219<51>

Number: 84443_120
N=109441945479115442273594959644690436881900387006023502931152512632479001049316737609177680103989027
  ( 99 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=134540358503683993503972490452802694756459765233
 r2=813450675293976530246943815573948510173217342491219
Version: 
Total time: 0.77 hours.
Scaled time: 1.85 units (timescale=2.389).
Factorization parameters were as follows:
n: 109441945479115442273594959644690436881900387006023502931152512632479001049316737609177680103989027
m: 1000000000000000000000000
deg: 5
c5: 76
c0: -13
skew: 0.70
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [270000, 540001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 1298976
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71196 x 71444
Total sieving time: 0.70 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,540000,540000,25,25,46,46,2.2,2.2,30000
total time: 0.77 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046640k/8912896k available (2550k kernel code, 339524k reserved, 1291k data, 208k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5345.56 BogoMIPS (lpj=2672784)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672377)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

174879313444488069209547536372531459810906222455804295868530719818696326907720259745917723965087172902503<105>

12590805009396429318523820236967<32>
13889446569458971546792533085753278631495296114778483753190335210833849409<74>

Number: 84443_123
N=174879313444488069209547536372531459810906222455804295868530719818696326907720259745917723965087172902503
  ( 105 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=12590805009396429318523820236967 (pp32)
 r2=13889446569458971546792533085753278631495296114778483753190335210833849409 (pp74)
Version: Msieve v. 1.42
Total time: 0.09 hours.
Scaled time: 0.06 units (timescale=0.682).
Factorization parameters were as follows:
name: 84443_123
n: 174879313444488069209547536372531459810906222455804295868530719818696326907720259745917723965087172902503
m: 2000000000000000000000000
deg: 5
c5: 2375
c0: -13
skew: 0.35
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 106399 x 106647
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,50000
total time: 0.09 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 96 min.

4453814601724089681800423669667019662428547679088477161463911815412472262918117677240639<88>

14113999961317179171110727491217577090567<41>
315560054834266879956698561952710924028285003017<48>

Thu Jan 14 18:29:01 2010  Msieve v. 1.42
Thu Jan 14 18:29:01 2010  random seeds: ece3fa3c 62ab00c0
Thu Jan 14 18:29:01 2010  factoring 4453814601724089681800423669667019662428547679088477161463911815412472262918117677240639 (88 digits)
Thu Jan 14 18:29:02 2010  searching for 15-digit factors
Thu Jan 14 18:29:02 2010  commencing quadratic sieve (88-digit input)
Thu Jan 14 18:29:02 2010  using multiplier of 71
Thu Jan 14 18:29:02 2010  using 32kb Intel Core sieve core
Thu Jan 14 18:29:02 2010  sieve interval: 27 blocks of size 32768
Thu Jan 14 18:29:02 2010  processing polynomials in batches of 8
Thu Jan 14 18:29:02 2010  using a sieve bound of 1520483 (58000 primes)
Thu Jan 14 18:29:02 2010  using large prime bound of 121638640 (26 bits)
Thu Jan 14 18:29:02 2010  using double large prime bound of 357378703311040 (42-49 bits)
Thu Jan 14 18:29:02 2010  using trial factoring cutoff of 49 bits
Thu Jan 14 18:29:02 2010  polynomial 'A' values have 11 factors
Thu Jan 14 19:21:29 2010  58366 relations (15959 full + 42407 combined from 608667 partial), need 58096
Thu Jan 14 19:21:30 2010  begin with 624626 relations
Thu Jan 14 19:21:30 2010  reduce to 140033 relations in 10 passes
Thu Jan 14 19:21:30 2010  attempting to read 140033 relations
Thu Jan 14 19:21:32 2010  recovered 140033 relations
Thu Jan 14 19:21:32 2010  recovered 117675 polynomials
Thu Jan 14 19:21:32 2010  attempting to build 58366 cycles
Thu Jan 14 19:21:32 2010  found 58366 cycles in 5 passes
Thu Jan 14 19:21:32 2010  distribution of cycle lengths:
Thu Jan 14 19:21:32 2010     length 1 : 15959
Thu Jan 14 19:21:32 2010     length 2 : 11602
Thu Jan 14 19:21:32 2010     length 3 : 10318
Thu Jan 14 19:21:32 2010     length 4 : 7685
Thu Jan 14 19:21:32 2010     length 5 : 5320
Thu Jan 14 19:21:32 2010     length 6 : 3298
Thu Jan 14 19:21:32 2010     length 7 : 1975
Thu Jan 14 19:21:32 2010     length 9+: 2209
Thu Jan 14 19:21:32 2010  largest cycle: 19 relations
Thu Jan 14 19:21:33 2010  matrix is 58000 x 58366 (14.1 MB) with weight 3475472 (59.55/col)
Thu Jan 14 19:21:33 2010  sparse part has weight 3475472 (59.55/col)
Thu Jan 14 19:21:33 2010  filtering completed in 3 passes
Thu Jan 14 19:21:33 2010  matrix is 53720 x 53783 (13.1 MB) with weight 3223980 (59.94/col)
Thu Jan 14 19:21:33 2010  sparse part has weight 3223980 (59.94/col)
Thu Jan 14 19:21:33 2010  saving the first 48 matrix rows for later
Thu Jan 14 19:21:34 2010  matrix is 53672 x 53783 (9.7 MB) with weight 2681886 (49.86/col)
Thu Jan 14 19:21:34 2010  sparse part has weight 2222681 (41.33/col)
Thu Jan 14 19:21:34 2010  matrix includes 64 packed rows
Thu Jan 14 19:21:34 2010  using block size 21513 for processor cache size 1024 kB
Thu Jan 14 19:21:34 2010  commencing Lanczos iteration
Thu Jan 14 19:21:34 2010  memory use: 9.1 MB
Thu Jan 14 19:21:54 2010  lanczos halted after 850 iterations (dim = 53669)
Thu Jan 14 19:21:54 2010  recovered 16 nontrivial dependencies
Thu Jan 14 19:21:55 2010  prp41 factor: 14113999961317179171110727491217577090567
Thu Jan 14 19:21:55 2010  prp48 factor: 315560054834266879956698561952710924028285003017
Thu Jan 14 19:21:55 2010  elapsed time 00:52:54

1019404908971165595620851122619656004496112177462298784896174951343535430356536866912665167068392680136224687572515234067439<124>

436935761084823906405490666061016966561859<42>
2333077307383098048737221663122625594533682311541748643808815692733328477329467621<82>

Number: 84443_127
N=1019404908971165595620851122619656004496112177462298784896174951343535430356536866912665167068392680136224687572515234067439
  ( 124 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=436935761084823906405490666061016966561859 (pp42)
 r2=2333077307383098048737221663122625594533682311541748643808815692733328477329467621 (pp82)
Version: Msieve v. 1.42
Total time: 0.12 hours.
Scaled time: 0.08 units (timescale=0.682).
Factorization parameters were as follows:
name: 84443_127
n: 1019404908971165595620851122619656004496112177462298784896174951343535430356536866912665167068392680136224687572515234067439
m: 10000000000000000000000000
deg: 5
c5: 7600
c0: -13
skew: 0.28
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157216 x 157464
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,50000
total time: 0.12 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 130 min.

29367626012076890436919691169632664207317248485816581487367829554836186665053366375695581<89>

26146234126190266342448064678090915918088189<44>
1123206725310388280483257825054621933171512929<46>

Thu Jan 14 17:17:00 2010  Msieve v. 1.42
Thu Jan 14 17:17:00 2010  random seeds: 143fbf98 16903b6b
Thu Jan 14 17:17:00 2010  factoring 29367626012076890436919691169632664207317248485816581487367829554836186665053366375695581 (89 digits)
Thu Jan 14 17:17:01 2010  searching for 15-digit factors
Thu Jan 14 17:17:02 2010  commencing quadratic sieve (89-digit input)
Thu Jan 14 17:17:02 2010  using multiplier of 5
Thu Jan 14 17:17:02 2010  using 32kb Intel Core sieve core
Thu Jan 14 17:17:02 2010  sieve interval: 30 blocks of size 32768
Thu Jan 14 17:17:02 2010  processing polynomials in batches of 7
Thu Jan 14 17:17:02 2010  using a sieve bound of 1543417 (58667 primes)
Thu Jan 14 17:17:02 2010  using large prime bound of 123473360 (26 bits)
Thu Jan 14 17:17:02 2010  using double large prime bound of 367140133664960 (42-49 bits)
Thu Jan 14 17:17:02 2010  using trial factoring cutoff of 49 bits
Thu Jan 14 17:17:02 2010  polynomial 'A' values have 11 factors
Thu Jan 14 18:20:15 2010  58804 relations (15942 full + 42862 combined from 620264 partial), need 58763
Thu Jan 14 18:20:16 2010  begin with 636206 relations
Thu Jan 14 18:20:17 2010  reduce to 142742 relations in 10 passes
Thu Jan 14 18:20:17 2010  attempting to read 142742 relations
Thu Jan 14 18:20:18 2010  recovered 142742 relations
Thu Jan 14 18:20:18 2010  recovered 121695 polynomials
Thu Jan 14 18:20:19 2010  attempting to build 58804 cycles
Thu Jan 14 18:20:19 2010  found 58804 cycles in 5 passes
Thu Jan 14 18:20:19 2010  distribution of cycle lengths:
Thu Jan 14 18:20:19 2010     length 1 : 15942
Thu Jan 14 18:20:19 2010     length 2 : 11195
Thu Jan 14 18:20:19 2010     length 3 : 10380
Thu Jan 14 18:20:19 2010     length 4 : 7799
Thu Jan 14 18:20:19 2010     length 5 : 5535
Thu Jan 14 18:20:19 2010     length 6 : 3399
Thu Jan 14 18:20:19 2010     length 7 : 2107
Thu Jan 14 18:20:19 2010     length 9+: 2447
Thu Jan 14 18:20:19 2010  largest cycle: 16 relations
Thu Jan 14 18:20:19 2010  matrix is 58667 x 58804 (14.4 MB) with weight 3542760 (60.25/col)
Thu Jan 14 18:20:19 2010  sparse part has weight 3542760 (60.25/col)
Thu Jan 14 18:20:20 2010  filtering completed in 3 passes
Thu Jan 14 18:20:20 2010  matrix is 54656 x 54719 (13.5 MB) with weight 3332539 (60.90/col)
Thu Jan 14 18:20:20 2010  sparse part has weight 3332539 (60.90/col)
Thu Jan 14 18:20:20 2010  saving the first 48 matrix rows for later
Thu Jan 14 18:20:20 2010  matrix is 54608 x 54719 (10.0 MB) with weight 2782508 (50.85/col)
Thu Jan 14 18:20:20 2010  sparse part has weight 2304006 (42.11/col)
Thu Jan 14 18:20:20 2010  matrix includes 64 packed rows
Thu Jan 14 18:20:20 2010  using block size 21887 for processor cache size 1024 kB
Thu Jan 14 18:20:21 2010  commencing Lanczos iteration
Thu Jan 14 18:20:21 2010  memory use: 9.4 MB
Thu Jan 14 18:20:41 2010  lanczos halted after 866 iterations (dim = 54606)
Thu Jan 14 18:20:41 2010  recovered 17 nontrivial dependencies
Thu Jan 14 18:20:42 2010  prp44 factor: 26146234126190266342448064678090915918088189
Thu Jan 14 18:20:42 2010  prp46 factor: 1123206725310388280483257825054621933171512929
Thu Jan 14 18:20:42 2010  elapsed time 01:03:42

84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<131>

3186978281847370194099023666653508880117680269969<49>
26496711610941763046076707364737870507286257964912540161393388285214285453887911147<83>

N=84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 131 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=3186978281847370194099023666653508880117680269969 (pp49)
 r2=26496711610941763046076707364737870507286257964912540161393388285214285453887911147 (pp83)
Version: Msieve-1.40
Total time: 2.23 hours.
Scaled time: 4.23 units (timescale=1.894).
Factorization parameters were as follows:
n: 84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 100000000000000000000000000
deg: 5
c5: 76
c0: -13
skew: 0.70
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, 950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 155428 x 155653
Total sieving time: 2.07 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.23 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

357133979116106092132322995604046272595697067945363587751084349576375440960411867866426401456695398597403<105>

124214796589452926210834281004437923631177<42>
2875132342698939983647532817902624673803477625233683913330409539<64>

N=357133979116106092132322995604046272595697067945363587751084349576375440960411867866426401456695398597403
  ( 105 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=124214796589452926210834281004437923631177 (pp42)
 r2=2875132342698939983647532817902624673803477625233683913330409539 (pp64)
Version: Msieve-1.40
Total time: 2.84 hours.
Scaled time: 5.36 units (timescale=1.888).
Factorization parameters were as follows:
n: 357133979116106092132322995604046272595697067945363587751084349576375440960411867866426401456695398597403
m: 1000000000000000000000000000
deg: 5
c5: 76
c0: -13
skew: 0.70
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1195001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 222433 x 222659
Total sieving time: 2.71 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 2.84 hours.
 --------- CPU info (if available) ----------

1600395193229899403140968643022511761498907318533682797562520571455992105254015820066158190610666301294203499010111070419128108527<130>

276488470263656889877797618536854505999738633<45>
5788289080205684911708325157572845025903624806210147724441281707580091386656212126519<85>

Number: 84443_139
N=1600395193229899403140968643022511761498907318533682797562520571455992105254015820066158190610666301294203499010111070419128108527
  ( 130 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=276488470263656889877797618536854505999738633 (pp45)
 r2=5788289080205684911708325157572845025903624806210147724441281707580091386656212126519 (pp85)
Version: Msieve-1.40
Total time: 5.34 hours.
Scaled time: 17.80 units (timescale=3.333).
Factorization parameters were as follows:
name: 84443_139
n: 1600395193229899403140968643022511761498907318533682797562520571455992105254015820066158190610666301294203499010111070419128108527
m: 2000000000000000000000000000
deg: 5
c5: 23750
c0: -13
skew: 0.22
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 1680001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 253666 x 253914
Total sieving time: 5.09 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 5.34 hours.
 --------- CPU info (if available) ----------

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

1479547131258070583163917144235737710295115684371848779468101519687740314757766332704144477814264166751612170001865067105652452321<130>

559885566521864971986453965353441656881474254627<48>
2642588449724378563238005518275313179638149186901968045633917633588931146653991723<82>

N=1479547131258070583163917144235737710295115684371848779468101519687740314757766332704144477814264166751612170001865067105652452321
  ( 130 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=559885566521864971986453965353441656881474254627 (pp48)
 r2=2642588449724378563238005518275313179638149186901968045633917633588931146653991723 (pp82)
Version: Msieve-1.40
Total time: 6.63 hours.
Scaled time: 12.90 units (timescale=1.946).
Factorization parameters were as follows:
n: 1479547131258070583163917144235737710295115684371848779468101519687740314757766332704144477814264166751612170001865067105652452321
m: 20000000000000000000000000000
deg: 5
c5: 23750
c0: -13
skew: 0.22
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2145001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 322762 x 322986
Total sieving time: 6.43 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 6.63 hours.
 --------- CPU info (if available) ----------

696354994013422372618041808213761323961131784195808713141312839004795207690795241682081515247796224963737015903365432100821919069389866591<138>

116881609563554023432506421670199215162237387872478912066890482109<66>
5957780668949304983500453039493858558551936650322348755406949041263924299<73>

N=696354994013422372618041808213761323961131784195808713141312839004795207690795241682081515247796224963737015903365432100821919069389866591
  ( 138 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=116881609563554023432506421670199215162237387872478912066890482109 (pp66)
 r2=5957780668949304983500453039493858558551936650322348755406949041263924299 (pp73)
Version: Msieve-1.40
Total time: 6.72 hours.
Scaled time: 12.84 units (timescale=1.911).
Factorization parameters were as follows:
n: 696354994013422372618041808213761323961131784195808713141312839004795207690795241682081515247796224963737015903365432100821919069389866591
m: 100000000000000000000000000000
deg: 5
c5: 76
c0: -13
skew: 0.70
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2180001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 304608 x 304834
Total sieving time: 6.52 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 6.72 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

6821623937873972871728910244665648171900001111504079757865579776987041476764957166086461720211431635530663779977628687381029213<127>

268445689705894396381482540196145192011<39>
25411560697240679369743185889639004348707830003563894054305151702456248213976042269499383<89>

N=6821623937873972871728910244665648171900001111504079757865579776987041476764957166086461720211431635530663779977628687381029213
  ( 127 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=268445689705894396381482540196145192011 (pp39)
 r2=25411560697240679369743185889639004348707830003563894054305151702456248213976042269499383 (pp89)
Version: Msieve-1.40
Total time: 11.82 hours.
Scaled time: 22.13 units (timescale=1.872).
Factorization parameters were as follows:
n: 6821623937873972871728910244665648171900001111504079757865579776987041476764957166086461720211431635530663779977628687381029213
m: 1000000000000000000000000000000
deg: 5
c5: 76
c0: -13
skew: 0.70
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 370080 x 370310
Total sieving time: 11.56 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 11.82 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

344469596911563967349221175985400256128398568117718178775937766029246207622135760196293015383193413711164152969<111>

14181877323141169263392273110445884811797681286189<50>
24289421566880877721325372257256262748758217907166446318387021<62>

N=344469596911563967349221175985400256128398568117718178775937766029246207622135760196293015383193413711164152969
  ( 111 digits)
Divisors found:
 r1=14181877323141169263392273110445884811797681286189 (pp50)
 r2=24289421566880877721325372257256262748758217907166446318387021 (pp62)
Version: Msieve-1.40
Total time: 13.40 hours.
Scaled time: 25.00 units (timescale=1.866).
Factorization parameters were as follows:
n: 344469596911563967349221175985400256128398568117718178775937766029246207622135760196293015383193413711164152969
skew: 29615.98
# norm 1.66e+015
c5: 30240
c4: 20693064
c3: -126760650461161
c2: 201728989537257506
c1: 38920622210722042817976
c0: -71626500850790661682080384
# alpha -6.36
Y1: 527805901909
Y0: -1626723732722581260721
# Murphy_E 1.01e-009
# M 192647418522717234869531142828889177673316816059899041479699982149586025300200071829521521807866471305843164450
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 426447 x 426674
Total sieving time: 13.03 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 13.40 hours.
 --------- CPU info (if available) ----------

12298504663477346264530038195237763735600832458400315662353290933568561135882136187932518959981218772287282388011175438229384270653372075687877491<146>

534968245832070366138108774240599052661439<42>
22989223676909448153232187489481570960724000304360427823634903261506883770831393078602687059604598433869<104>

Number: qn1
N=12298504663477346264530038195237763735600832458400315662353290933568561135882136187932518959981218772287282388011175438229384270653372075687877491
  ( 146 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=534968245832070366138108774240599052661439 (pp42)
 r2=22989223676909448153232187489481570960724000304360427823634903261506883770831393078602687059604598433869 (pp104)
Version: Msieve-1.40
Total time: 17.17 hours.
Scaled time: 30.96 units (timescale=1.803).
Factorization parameters were as follows:
n: 12298504663477346264530038195237763735600832458400315662353290933568561135882136187932518959981218772287282388011175438229384270653372075687877491
m: 2000000000000000000000000000000
deg: 5
c5: 2375
c0: -13
skew: 0.35
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 485121 x 485348
Total sieving time: 16.73 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 17.17 hours.
 --------- CPU info (if available) ----------

37668805209093861424346104247965354701422016620195984366235520814716145716555210579337379473051338807214196984445961390897<122>

74130938126526520033899281237<29>
508138790106781444177855674270684632867057560452713620976569376762751239690101893831973251181<93>

Number: qn6
N=37668805209093861424346104247965354701422016620195984366235520814716145716555210579337379473051338807214196984445961390897
  ( 122 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=74130938126526520033899281237 (pp29)
 r2=508138790106781444177855674270684632867057560452713620976569376762751239690101893831973251181 (pp93)
Version: Msieve-1.40
Total time: 16.92 hours.
Scaled time: 30.59 units (timescale=1.808).
Factorization parameters were as follows:
n: 37668805209093861424346104247965354701422016620195984366235520814716145716555210579337379473051338807214196984445961390897
m: 2000000000000000000000000000000
deg: 5
c5: 23750
c0: -13
skew: 0.22
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, 2400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 566026 x 566274
Total sieving time: 16.37 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 16.92 hours.
 --------- CPU info (if available) ----------

15051528455999582346471293129595783088002145686450200700413442010381259885953054647906695823868765214731132118145263619111679422287044123<137>

449110892440515199409730376176544131488309888353054521613<57>
33514057907186384703530707931072481155953445593643272712629337456328424344099271<80>

Number: qn5
N=15051528455999582346471293129595783088002145686450200700413442010381259885953054647906695823868765214731132118145263619111679422287044123
  ( 137 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=449110892440515199409730376176544131488309888353054521613 (pp57)
 r2=33514057907186384703530707931072481155953445593643272712629337456328424344099271 (pp80)
Version: Msieve-1.40
Total time: 17.50 hours.
Scaled time: 32.96 units (timescale=1.883).
Factorization parameters were as follows:
n: 15051528455999582346471293129595783088002145686450200700413442010381259885953054647906695823868765214731132118145263619111679422287044123
m: 10000000000000000000000000000000
deg: 5
c5: 760
c0: -13
skew: 0.44
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor 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, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 570585 x 570811
Total sieving time: 16.95 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 17.50 hours.
 --------- CPU info (if available) ----------

274386585874559268114919370659316241296389094025883186714859229795983576317731805212744308953378612897725953311051263165253166437797928873<138>

71198846958039842851682769379924449509<38>
3853806593753766804791776564313081894490035602072020416476856653000802143445249922843155791339508597<100>

Number: 84443_157
N=274386585874559268114919370659316241296389094025883186714859229795983576317731805212744308953378612897725953311051263165253166437797928873
  ( 138 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=71198846958039842851682769379924449509 (pp38)
 r2=3853806593753766804791776564313081894490035602072020416476856653000802143445249922843155791339508597 (pp100)
Version: Msieve-1.40
Total time: 34.65 hours.
Scaled time: 88.50 units (timescale=2.554).
Factorization parameters were as follows:
name: 84443_157
n: 274386585874559268114919370659316241296389094025883186714859229795983576317731805212744308953378612897725953311051263165253166437797928873
m: 10000000000000000000000000000000
deg: 5
c5: 7600
c0: -13
skew: 0.28
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

These parameters were not fully adjusted
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 556123 x 556371
Total sieving time: 33.72 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.64 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 34.65 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

318116882002495543224340629511451998464667469493218878227787593357886933725789107761675203500625141530619377755007306223914938894351290612747529466622632593<156>

2690526801655077694173058537185371296263234612077<49>
118235908970245502716200803059415066950669727732105695967335761116129305157466159349886395997183135204710709<108>

Number: qn3
N=318116882002495543224340629511451998464667469493218878227787593357886933725789107761675203500625141530619377755007306223914938894351290612747529466622632593
  ( 156 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=2690526801655077694173058537185371296263234612077 (pp49)
 r2=118235908970245502716200803059415066950669727732105695967335761116129305157466159349886395997183135204710709 (pp108)
Version: Msieve-1.40
Total time: 25.58 hours.
Scaled time: 47.32 units (timescale=1.850).
Factorization parameters were as follows:
n: 318116882002495543224340629511451998464667469493218878227787593357886933725789107761675203500625141530619377755007306223914938894351290612747529466622632593
m: 100000000000000000000000000000000
deg: 5
c5: 76
c0: -13
skew: 0.70
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor 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, 3150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 632740 x 632966
Total sieving time: 24.58 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 25.58 hours.
 --------- CPU info (if available) ----------

2540612999498915837467056275686043975276459267517220060621597335257861613710317226900431834126770933330631428848978860534736302709181077781011717713307449<154>

131673481030630620926441324694667<33>
19294796337220736535466540604174229463520568800892027930467738198729417645826332104634962727163099716834954744049116774347<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2240736787
Step 1 took 81916ms
Step 2 took 53821ms
********** Factor found in step 2: 131673481030630620926441324694667
Found probable prime factor of 33 digits: 131673481030630620926441324694667
Probable prime cofactor 19294796337220736535466540604174229463520568800892027930467738198729417645826332104634962727163099716834954744049116774347 has 122 digits

GMP-ECM 6.2.3

281481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<165>

448774536143721177600525889013117020210281196959713<51>
627222488825293614185760292712532183790795282335748649721097944934058494839865768502850112997153657565055891421737<114>

Number: qn4
N=281481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
  ( 165 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=448774536143721177600525889013117020210281196959713 (pp51)
 r2=627222488825293614185760292712532183790795282335748649721097944934058494839865768502850112997153657565055891421737 (pp114)
Version: Msieve-1.40
Total time: 39.57 hours.
Scaled time: 72.57 units (timescale=1.834).
Factorization parameters were as follows:
n: 281481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481
m: 200000000000000000000000000000000
deg: 5
c5: 23750
c0: -13
skew: 0.22
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor 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, 4250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 771285 x 771511
Total sieving time: 38.27 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.77 hours.
Time per square root: 0.45 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 39.57 hours.
 --------- CPU info (if available) ----------

22018174514362692208442224625442449001016508573801134336635287658298449923874104829717219782543<95>

51249340259880429133836510982781<32>
429628447950952476399589762666248574760965900611373981596638203<63>

N=22018174514362692208442224625442449001016508573801134336635287658298449923874104829717219782543
  ( 95 digits)
Divisors found:
 r1=51249340259880429133836510982781 (pp32)
 r2=429628447950952476399589762666248574760965900611373981596638203 (pp63)
Version: Msieve-1.40
Total time: 4.10 hours.
Scaled time: 8.04 units (timescale=1.963).
Factorization parameters were as follows:
n:  22018174514362692208442224625442449001016508573801134336635287658298449923874104829717219782543
m:  5430930955674362840088
deg: 4
c4: 25309536
c3: 161140244
c2: -85136190203982488
c1: 155477037093529359649
c0: 1198801096088384786039
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.571
# E(F1,F2) = 4.410071e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1274111480.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 175038 x 175263
Polynomial selection time: 0.17 hours.
Total sieving time: 3.75 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 4.10 hours.
 --------- CPU info (if available) ----------

60566822179278550097938813753962666024437364883226913549729560311717513719014144748348924183421776289682176520995690748616667770992271608075837888373701487511<158>

12608445889360682954478214971076653802427<41>
4803670706981129667360259726858504989315862938441922689662434886846334840418511380087476210468123419348369976138433493<118>

Factor=12608445889360682954478214971076653802427  Method=ECM  B1=11000000  Sigma=1517577762

580858317062230798442416194201479435433535871749907599581069695989533299984423061368361413285454099402604799508459349207717280543339761218470160280286149455593981626091<168>

52336959397714357442430074961237097079814822636054031487925893<62>
11098434524027734265222471032825668637733042059625958861627339880601575154939654871398435260659293395763887<107>

Number: 8
N=580858317062230798442416194201479435433535871749907599581069695989533299984423061368361413285454099402604799508459349207717280543339761218470160280286149455593981626091
  ( 168 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=52336959397714357442430074961237097079814822636054031487925893 (pp62)
 r2=11098434524027734265222471032825668637733042059625958861627339880601575154939654871398435260659293395763887 (pp107)
Version: Msieve-1.40
Total time: 84.55 hours.
Scaled time: 147.03 units (timescale=1.739).
Factorization parameters were as follows:
n: 580858317062230798442416194201479435433535871749907599581069695989533299984423061368361413285454099402604799508459349207717280543339761218470160280286149455593981626091
m: 20000000000000000000000000000000000
deg: 5
c5: 23750
c0: -13
skew: 0.22
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 7200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1199603 x 1199829
Total sieving time: 82.19 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.93 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 84.55 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

516111719151121715104191867741917977716335708478086305229838904558964590203661397732942484370443533684055570298568637269778552127543941320696399497359119967641398415207<168>

6283362577718405907241362961006075655488777836911279337661884702639007<70>
82139413851640329266300498802975149078348335690330899820441292260204766836001560024254336981196601<98>

Number: n
N=516111719151121715104191867741917977716335708478086305229838904558964590203661397732942484370443533684055570298568637269778552127543941320696399497359119967641398415207
  ( 168 digits)
SNFS difficulty: 178 digits.
Divisors found:

Tue Jan 24 12:14:03 2012  prp70 factor: 6283362577718405907241362961006075655488777836911279337661884702639007
Tue Jan 24 12:14:03 2012  prp98 factor: 82139413851640329266300498802975149078348335690330899820441292260204766836001560024254336981196601
Tue Jan 24 12:14:03 2012  elapsed time 02:46:19 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.601).
Factorization parameters were as follows:
name: KA_84443_177
n: 516111719151121715104191867741917977716335708478086305229838904558964590203661397732942484370443533684055570298568637269778552127543941320696399497359119967641398415207
m: 100000000000000000000000000000000000
deg: 5
c5: 7600
c0: -13
skew: 0.28
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8072441 hash collisions in 76000098 relations
Msieve: matrix is 1176701 x 1176949 (327.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<179>

1299560861690329933561836903707745295865900358701927726569<58>
64979214851552340935783223085767853957488399951809954752933756897118719811616985460183098325295406176133468673983463925347<122>

Number: 84443_178
N=84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 179 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=1299560861690329933561836903707745295865900358701927726569
 r2=64979214851552340935783223085767853957488399951809954752933756897118719811616985460183098325295406176133468673983463925347
Version: 
Total time: 176.12 hours.
Scaled time: 350.65 units (timescale=1.991).
Factorization parameters were as follows:
n: 84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 200000000000000000000000000000000000
deg: 5
c5: 2375
c0: -13
skew: 0.35
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 9200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1409979 x 1410227
Total sieving time: 176.12 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,179,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 176.12 hours.
 --------- CPU info (if available) ----------

106211916072857277147625684356760844298469484196664541213212128121593332629898999469648523167107441497863454345999839447219485668022132459910477517<147>

856381869721964242488642548321798399347<39>
124024012917672331770392445359664536731298238692548699140229891017321341777877050536810605226632053506450111<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3556692761
Step 1 took 16353ms
Step 2 took 7441ms
********** Factor found in step 2: 856381869721964242488642548321798399347
Found probable prime factor of 39 digits: 856381869721964242488642548321798399347

192356365477094406479372310807390534042014679827891672994178688939508985067071627436092128575044292584155909896228802834725385978233358643381422424702606934953176411035180966843837<180>

488328573663452090172610180856523552144350131423703153809637<60>
393907659414710403410455452885485140215084414275944474111562811042986685205083501329234950157673080450805721104003396601<120>

Number: 9
N=192356365477094406479372310807390534042014679827891672994178688939508985067071627436092128575044292584155909896228802834725385978233358643381422424702606934953176411035180966843837
  ( 180 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=488328573663452090172610180856523552144350131423703153809637 (pp60)
 r2=393907659414710403410455452885485140215084414275944474111562811042986685205083501329234950157673080450805721104003396601 (pp120)
Version: Msieve-1.40
Total time: 162.57 hours.
Scaled time: 282.71 units (timescale=1.739).
Factorization parameters were as follows:
n: 192356365477094406479372310807390534042014679827891672994178688939508985067071627436092128575044292584155909896228802834725385978233358643381422424702606934953176411035180966843837
m: 1000000000000000000000000000000000000
deg: 5
c5: 760
c0: -13
skew: 0.44
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 6500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1557759 x 1557985
Total sieving time: 157.68 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.60 hours.
Time per square root: 1.08 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 162.57 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1721961817413514246810830986667558824147225542153277499310495900827977471310717027914204167806021961941802598162602846973397323518948514286472596268014357364178273465331721205491<178>

4298952509830394441075896877701046848471565108399<49>
400553812463829799332428360169751635125963140479599099251629928781343878288413294245664304175611242339108866969715547116599610109<129>

Number: 84443_184
N=1721961817413514246810830986667558824147225542153277499310495900827977471310717027914204167806021961941802598162602846973397323518948514286472596268014357364178273465331721205491
  ( 178 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=4298952509830394441075896877701046848471565108399
 r2=400553812463829799332428360169751635125963140479599099251629928781343878288413294245664304175611242339108866969715547116599610109
Version: 
Total time: 309.29 hours.
Scaled time: 622.28 units (timescale=2.012).
Factorization parameters were as follows:
n: 1721961817413514246810830986667558824147225542153277499310495900827977471310717027914204167806021961941802598162602846973397323518948514286472596268014357364178273465331721205491
m: 2000000000000000000000000000000000000
deg: 5
c5: 23750
c0: -13
skew: 0.22
type: snfs
lss: 1
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4400000, 7700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1495863 x 1496111
Total sieving time: 309.29 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,185,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,54,54,2.5,2.5,100000
total time: 309.29 hours.
 --------- CPU info (if available) ----------

148191569661060149115449443523755821200628023189648423893575280165879091898417445141432071706242643374774851047470326555259132150481482361826626565587308197953400797<165>

4246751630129455915625923667533119774503514337531783<52>
34895275864424110252805442576418747564521400828319289195411051741237266480409881080501360156500445258073702043259<113>

Number: 84443_185
N=148191569661060149115449443523755821200628023189648423893575280165879091898417445141432071706242643374774851047470326555259132150481482361826626565587308197953400797
  ( 165 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=4246751630129455915625923667533119774503514337531783
 r2=34895275864424110252805442576418747564521400828319289195411051741237266480409881080501360156500445258073702043259
Version: 
Total time: 79.60 hours.
Scaled time: 417.18 units (timescale=5.241).
Factorization parameters were as follows:
n: 148191569661060149115449443523755821200628023189648423893575280165879091898417445141432071706242643374774851047470326555259132150481482361826626565587308197953400797
m: 10000000000000000000000000000000000000
deg: 5
c5: 76
c0: -13
skew: 0.70
# Murphy_E = 5.621e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20378485
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1722513 x 1722760
Total sieving time: 73.40 hours.
Total relation processing time: 1.98 hours.
Matrix solve time: 4.10 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 79.60 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

11712128216982585914624749576205886885498535983972877176760671906302974264139312683002003390352904916011712128216982585914624749576205886885498535983972877176760671906302974264139312683<185>

8222645388521058058052467152919427<34>
1424374719276219867243003426525536354943896169618173844128972423534381057150249900378648274311613152219792344102945601623560813380672944609636970895929<151>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2699436678
Step 1 took 10249ms
Step 2 took 8814ms
********** Factor found in step 2: 8222645388521058058052467152919427
Found probable prime factor of 34 digits: 8222645388521058058052467152919427
Probable prime cofactor 1424374719276219867243003426525536354943896169618173844128972423534381057150249900378648274311613152219792344102945601623560813380672944609636970895929 has 151 digits

GMP-ECM 6.2.3

624492086617052413785169792003050150823055919157855987194625423894546294173571001874297959965127047163121441524943939509724409998775666830184989346658022381467704309570587737440519183<183>

13286975015523398975262720163182822193<38>
47000320681528164528082294834986145777603657525347369018287345630362300552685887952716268559278394487977134400141550507326607006541511398746778431<146>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3118927476
Step 1 took 29406ms
********** Factor found in step 1: 13286975015523398975262720163182822193
Found probable prime factor of 38 digits: 13286975015523398975262720163182822193
Probable prime cofactor 47000320681528164528082294834986145777603657525347369018287345630362300552685887952716268559278394487977134400141550507326607006541511398746778431 has 146 digits

GMP-ECM 6.2.3

105687665136976776526213322208315950493672646363509942984285912946738979279655124461131970518703935474899179529968015575024335975524961757752746488666388541232095675149492421081907940481157<189>

294795527671363247942094037041042836712055018966600860548540932091<66>
358511765669650588357745934206680725791755437481956911266468585883914993566867141568993774934895396085649451503230178361727<123>

Number: 7
N=105687665136976776526213322208315950493672646363509942984285912946738979279655124461131970518703935474899179529968015575024335975524961757752746488666388541232095675149492421081907940481157
  ( 189 digits)
SNFS difficulty: 191 digits.
Divisors found:
 r1=294795527671363247942094037041042836712055018966600860548540932091 (pp66)
 r2=358511765669650588357745934206680725791755437481956911266468585883914993566867141568993774934895396085649451503230178361727 (pp123)
Version: Msieve-1.40
Total time: 310.85 hours.
Scaled time: 540.56 units (timescale=1.739).
Factorization parameters were as follows:
n: 105687665136976776526213322208315950493672646363509942984285912946738979279655124461131970518703935474899179529968015575024335975524961757752746488666388541232095675149492421081907940481157
m: 100000000000000000000000000000000000000
deg: 5
c5: 76
c0: -13
skew: 0.70
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [5500000, 10400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2043734 x 2043959
Total sieving time: 302.86 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 6.51 hours.
Time per square root: 1.22 hours.
Prototype def-par.txt line would be:
snfs,191.000,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,54,54,2.5,2.5,100000
total time: 310.85 hours.

GGNFS, Msieve

326174747722557994537584704497389150374380441818445159698536753498357388083124674716137284746027141092325305924328939965057072527737850524705672604214719<153>

36960728261477820138290605559<29>

8824900456913139268429244441497517913329776888336713952713389174175097557475620800439268652373587544139797629626548382725241<124>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=4129898345
Step 1 took 4936ms
Step 2 took 2784ms
********** Factor found in step 2: 36960728261477820138290605559
Found probable prime factor of 29 digits: 36960728261477820138290605559
Composite cofactor has 124 digits

8824900456913139268429244441497517913329776888336713952713389174175097557475620800439268652373587544139797629626548382725241<124>

14111846739601485682956230889337011109222853398518330510997901<62>
625354046125528699515306470646745035963043081846719237068541341<63>

Number: example
N=8824900456913139268429244441497517913329776888336713952713389174175097557475620800439268652373587544139797629626548382725241
  ( 124 digits)
Divisors found:
 r1=14111846739601485682956230889337011109222853398518330510997901 (pp62)
 r2=625354046125528699515306470646745035963043081846719237068541341 (pp63)
Version: Msieve v. 1.43
Total time: 93.82 hours.
Scaled time: 215.98 units (timescale=2.302).
Factorization parameters were as follows:
# Murphy_E = 1.682161e-10, selected by suberi
n: 8824900456913139268429244441497517913329776888336713952713389174175097557475620800439268652373587544139797629626548382725241
Y0: -1059820269890992464165107
Y1: 24278170370033
c0: 25957252765765015158309130586400
c1: 64118450773704996491751884
c2: -823383601250439774568
c3: -123870468879175
c4: 3166030994
c5: 6600
skew: 386090.5
type: gnfs
# selected mechanically
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3350000, 6450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 948156 x 948381
Total sieving time: 92.03 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.46 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6700000,6700000,27,27,52,52,2.5,2.5,100000
total time: 93.82 hours.
 --------- CPU info (if available) ----------
 

GGNFS

38043699057708793794316737492684952125979023527318397391216721964607993782924219497899358251277618944185887328226640122673944576170213231228398221731318705417858852757<167>

138841772705556531673642729693628936993<39>
274007586595631690321825651465371887688333757468957988997483509587515493920979178107368314635634767653355103737469263845088565749<129>

N=38043699057708793794316737492684952125979023527318397391216721964607993782924219497899358251277618944185887328226640122673944576170213231228398221731318705417858852757
  ( 167 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=138841772705556531673642729693628936993 (pp39)
 r2=274007586595631690321825651465371887688333757468957988997483509587515493920979178107368314635634767653355103737469263845088565749 (pp129)
Version: Msieve v. 1.48
Total time:
Scaled time: 148.84 units (timescale=1.401).
Factorization parameters were as follows:
n: 38043699057708793794316737492684952125979023527318397391216721964607993782924219497899358251277618944185887328226640122673944576170213231228398221731318705417858852757
m: 200000000000000000000000000000000000000
deg: 5
c5: 23750
c0: -13
skew: 0.22
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 14450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2337973 x 2338183
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time:

8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<196>

321354476929298981159858476358069885468941292822488529990757257631214390545877<78>
26277662365669490723897775314975138032886388160598974882907584365321342536352514292985579430933098961530982379539450159<119>

Number: 8
N=8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 196 digits)
SNFS difficulty: 196 digits.
Divisors found:
 r1=321354476929298981159858476358069885468941292822488529990757257631214390545877 (pp78)
 r2=26277662365669490723897775314975138032886388160598974882907584365321342536352514292985579430933098961530982379539450159 (pp119)
Version: Msieve-1.40
Total time: 475.16 hours.
Scaled time: 826.30 units (timescale=1.739).
Factorization parameters were as follows:
n: 8444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 1000000000000000000000000000000000000000
deg: 5
c5: 76
c0: -13
skew: 0.70
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6700000, 14000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2517955 x 2518180
Total sieving time: 463.46 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 10.90 hours.
Time per square root: 0.51 hours.
Prototype def-par.txt line would be:
snfs,196.000,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 475.16 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

36821358078390447716768740263123676491957590966007960924543456578647512435688152762474484033154469820514705110799785724302340795032368124869178889722886302525079543951791781236831649324333<188>

1008552231742655329523401969973<31>

36509123592704394607023826886055799322389429757921912060310322748589750110491558166827631890508784182813545235913141576227569195759794830502103159880868631321<158>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=304000288
Step 1 took 6868ms
Step 2 took 1776ms
********** Factor found in step 2: 1008552231742655329523401969973
Found probable prime factor of 31 digits: 1008552231742655329523401969973
Composite cofactor has 158 digits

36509123592704394607023826886055799322389429757921912060310322748589750110491558166827631890508784182813545235913141576227569195759794830502103159880868631321<158>

681819372184257047504133961066942994501<39>

53546621117180654550468842219261846223202101367971206036254481882282388149651138289652528710145618205237583594973146821<119>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4230184339
Step 1 took 19531ms
Step 2 took 8130ms
********** Factor found in step 2: 681819372184257047504133961066942994501
Found probable prime factor of 39 digits: 681819372184257047504133961066942994501
Composite cofactor 53546621117180654550468842219261846223202101367971206036254481882282388149651138289652528710145618205237583594973146821 has 119 digits

53546621117180654550468842219261846223202101367971206036254481882282388149651138289652528710145618205237583594973146821<119>

544714684594172607666221838667898217062647219781<48>
98302143547083473850172529030179199929805824427666818132254622270131841<71>

N = 53546621117180654550468842219261846223202101367971206036254481882282388149651138289652528710145618205237583594973146821 (119 digits)
Divisors found:
r1=544714684594172607666221838667898217062647219781 (pp48)
r2=98302143547083473850172529030179199929805824427666818132254622270131841 (pp71)
Version: Msieve v. 1.48
Total time: 12.27 hours.
Factorization parameters were as follows:
n: 53546621117180654550468842219261846223202101367971206036254481882282388149651138289652528710145618205237583594973146821
Y0: -75964330433171250214050
Y1: 5215517267813
c0: 20477187056418259243279841197
c1: 8532759981416000410191092
c2: -53425159098796942625
c3: -1099084896446660
c4: 2607867268
c5: 21168
skew: 132851.82 
type: gnfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10228067
Relations: 1099526 relations
Pruned matrix : 623970 x 624197
Polynomial selection time: 0.00 hours.
Total sieving time: 11.70 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.47 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,118,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4000000,4000000,27,27,53,53,2.5,2.5,100000
total time: 12.27 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

34139889682546638459194343786117763244713327922567050802080377942506751983767192189575324036258517912788748754727976801010521407140553041946306587<146>

1313429775842820566807739930240570650988441246388049369442433079<64>
25992931110945205675174349067637108493666607289606347069062838292629377579913614653<83>

34139889682546638459194343786117763244713327922567050802080377942506751983767192189575324036258517912788748754727976801010521407140553041946306587=1313429775842820566807739930240570650988441246388049369442433079*25992931110945205675174349067637108493666607289606347069062838292629377579913614653

cado polynomial
n: 34139889682546638459194343786117763244713327922567050802080377942506751983767192189575324036258517912788748754727976801010521407140553041946306587
skew: 0.75
type: snfs
c0: -13
c6: 76
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 76*x^6-13
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15000000
tasks.lim1 = 15000000
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: 1313429775842820566807739930240570650988441246388049369442433079 25992931110945205675174349067637108493666607289606347069062838292629377579913614653
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: 9.99/3.47111
Info:Generate Free Relations: Total cpu/real time for freerel: 161.58/40.9124
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28127211
Info:Lattice Sieving: Average J: 1894.5 for 3274598 special-q, max bucket fill -bkmult 1.0,1s:1.157360
Info:Lattice Sieving: Total time: 962451s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.84/145.349
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 144.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 488.66/494.296
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 432.49999999999994s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 414.24/485.055
Info:Filtering - Merging: Merged matrix has 2566915 rows and total weight 440866007 (171.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 379.57/108.839
Info:Filtering - Merging: Total cpu/real time for replay: 99.82/88.1361
Info:Linear Algebra: Total cpu/real time for bwc: 116162/29722
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 18942.98, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80384 iterations)
Info:Linear Algebra: Lingen CPU time 519.7, WCT time 150.78
Info:Linear Algebra: Mksol: WCT time 10357.03, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 88.6/39.1978
Info:Square Root: Total cpu/real time for sqrt: 763.74/233.098
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.91654e+06/67910.8
Info:root: Cleaning up computation data in /tmp/cado.u520cooa
1313429775842820566807739930240570650988441246388049369442433079 25992931110945205675174349067637108493666607289606347069062838292629377579913614653

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)

282921847989307540598666340751331120625572205610771942199492826701144460623478731171573451449039667614254200572623652595466459153133855993345780779331558782073101579410533<171>

900955626345709493003397985796981322403<39>
314024175793033343014439271747730598017563477971337782242293977321252022970562891476086016643821248757503936546686508626206971194711<132>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3070571467
Step 1 took 83195ms
Step 2 took 16115ms
********** Factor found in step 2: 900955626345709493003397985796981322403
Found probable prime factor of 39 digits: 900955626345709493003397985796981322403
Probable prime cofactor 314024175793033343014439271747730598017563477971337782242293977321252022970562891476086016643821248757503936546686508626206971194711 has 132 digits

GMP-ECM 6.3

2063585121229157143867549471118721701014452053856186524638933512370882977797180087362606236844236114391208518763514131822544342002729958880434012374961612197439486495807908511723901<181>

710324123119179982595115703432980750200618423<45>
2905131691385516410867697055709409181214436840773027478724151457303127972705470159152777794068080089107643075477452933515798735287175787<136>

#
# N = 76x10^201-13 = 84(200)3
#
n: 2063585121229157143867549471118721701014452053856186524638933512370882977797180087362606236844236114391208518763514131822544342002729958880434012374961612197439486495807908511723901
m: 10000000000000000000000000000000000000000
deg: 5
c5: 760
c0: -13
skew: 0.44
# Murphy_E = 1.195e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2063585121229157143867549471118721701014452053856186524638933512370882977797180087362606236844236114391208518763514131822544342002729958880434012374961612197439486495807908511723901 (181 digits)
Using B1=45630000, B2=240493423186, polynomial Dickson(12), sigma=1:3920675436
Step 1 took 123538ms
Step 2 took 38886ms
********** Factor found in step 2: 710324123119179982595115703432980750200618423
Found prime factor of 45 digits: 710324123119179982595115703432980750200618423
Prime cofactor 2905131691385516410867697055709409181214436840773027478724151457303127972705470159152777794068080089107643075477452933515798735287175787 has 136 digits

3761574307750171790179614264780113078706545704796087209150631065255909925733093552573091783356018819353<103>

2005427636651476892041212914026909<34>
1875696853380851002557728205237414763907684505503117191542937369619117<70>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=997421017
Step 1 took 3728ms
Step 2 took 3214ms
********** Factor found in step 2: 2005427636651476892041212914026909
Found probable prime factor of 34 digits: 2005427636651476892041212914026909
Probable prime cofactor 1875696853380851002557728205237414763907684505503117191542937369619117 has 70 digits

GMP-ECM 6.3

1375130481213438873386877225712250946740731653844866373191178606775775449451948010078896332861753911141249374198110994689597727568158095808752994697471778623176168061553657545770293629842824977<193>

4375501824172335208422933152603484715952664354808878341500745276974057<70>
314279489867098145220103045956637574975188734808895618682493373564580678476073979033762028337434979465527966334328882147561<123>

Number: n
N=1375130481213438873386877225712250946740731653844866373191178606775775449451948010078896332861753911141249374198110994689597727568158095808752994697471778623176168061553657545770293629842824977
  ( 193 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue May 11 15:04:19 2021  p70 factor: 4375501824172335208422933152603484715952664354808878341500745276974057
Tue May 11 15:04:19 2021  p123 factor: 314279489867098145220103045956637574975188734808895618682493373564580678476073979033762028337434979465527966334328882147561
Tue May 11 15:04:19 2021  elapsed time 02:10:13 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 76x10^203-13 = 84(202)3
#
n: 1375130481213438873386877225712250946740731653844866373191178606775775449451948010078896332861753911141249374198110994689597727568158095808752994697471778623176168061553657545770293629842824977
m: 20000000000000000000000000000000000000000
deg: 5
c5: 2375
c0: -13
skew: 0.35
# Murphy_E = 8.459e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 36300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8235959 hash collisions in 55915919 relations (49650011 unique)
Msieve: matrix is 2388513 x 2388741 (829.9 MB)

Sieving start time : 2021/05/10 23:56:56
Sieving end time  : 2021/05/11 12:52:52

Total sieving time: 12hrs 55min 56secs.

Total relation processing time: 1hrs 48min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 0sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18200000,18200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

42264888767950948701097512683789623476689406636329262864012019691192826586475213908670934429198237551585052275198111273486909036843462296042981558306342268027<158>

92062943466612630047046116840539<32>
459086872268847801353234149726472034336467357862988081179671476023933220757144500118968433074923866861038279225121910057796193<126>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1832518408
Step 1 took 6381ms
Step 2 took 4633ms
********** Factor found in step 2: 92062943466612630047046116840539
Found probable prime factor of 32 digits: 92062943466612630047046116840539
Probable prime cofactor 459086872268847801353234149726472034336467357862988081179671476023933220757144500118968433074923866861038279225121910057796193 has 126 digits

GMP-ECM 6.3

544114123079193184015780113366507294671146933388772185520275190581483243620723160329734681065735610576179248046861018730311850850133678629777083828470881879691298773939<168>

264018013169301951804846508170428048438109486638512407291549490314778276919083669958185636944533327795255184349079957803930391071272427247171159946550846475520046046939588081314288551696937<189>

147076638577813452731790701526051624339828720503457854343421223228369985439<75>
1795105026347325932993559407542670131250666160120968860170429441134803795100442060940846548915844109466445864374583<115>

Number: n
N=264018013169301951804846508170428048438109486638512407291549490314778276919083669958185636944533327795255184349079957803930391071272427247171159946550846475520046046939588081314288551696937
  ( 189 digits)
SNFS difficulty: 207 digits.
Divisors found:

Fri Aug  6 01:49:59 2021  p75 factor: 147076638577813452731790701526051624339828720503457854343421223228369985439
Fri Aug  6 01:49:59 2021  p115 factor: 1795105026347325932993559407542670131250666160120968860170429441134803795100442060940846548915844109466445864374583
Fri Aug  6 01:49:59 2021  elapsed time 02:24:42 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 76x10^206-13 = 84(205)3
#
n: 264018013169301951804846508170428048438109486638512407291549490314778276919083669958185636944533327795255184349079957803930391071272427247171159946550846475520046046939588081314288551696937
m: 100000000000000000000000000000000000000000
deg: 5
c5: 760
c0: -13
skew: 0.44
# Murphy_E = 7.357e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9983543 hash collisions in 63387703 relations (55619685 unique)
Msieve: matrix is 2468153 x 2468378 (855.5 MB)

Sieving start time : 2021/08/05 07:08:17
Sieving end time  : 2021/08/05 23:23:44

Total sieving time: 16hrs 15min 27secs.

Total relation processing time: 1hrs 58min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 59sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119240] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5012K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.152638] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.25 BogoMIPS (lpj=12798512)
[    0.150211] smpboot: Total of 16 processors activated (102388.09 BogoMIPS)

83617322067131981764253501686971580293871304094425111416354733564654000888765272549844964592105417605631794923170344334109407789625020512577110658437834805385560543160355286961844407613689887<191>

13437241308401937553077925853696398047438598692817300295171<59>
6222804231017892728488254804538849225471616422029125870094385146474488224887117027679395432608111532213178547776853169449348756617397<133>

Number: n
N=83617322067131981764253501686971580293871304094425111416354733564654000888765272549844964592105417605631794923170344334109407789625020512577110658437834805385560543160355286961844407613689887
  ( 191 digits)
SNFS difficulty: 208 digits.
Divisors found:

Wed Jul 21 12:26:05 2021  p59 factor: 13437241308401937553077925853696398047438598692817300295171
Wed Jul 21 12:26:05 2021  p133 factor: 6222804231017892728488254804538849225471616422029125870094385146474488224887117027679395432608111532213178547776853169449348756617397
Wed Jul 21 12:26:05 2021  elapsed time 03:30:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 76x10^207-13 = 84(206)3
#
n: 83617322067131981764253501686971580293871304094425111416354733564654000888765272549844964592105417605631794923170344334109407789625020512577110658437834805385560543160355286961844407613689887
m: 100000000000000000000000000000000000000000
deg: 5
c5: 7600
c0: -13
skew: 0.28
# Murphy_E = 5.233e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 59300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9843614 hash collisions in 61753423 relations (53947846 unique)
Msieve: matrix is 2919103 x 2919329 (1017.7 MB)

Sieving start time : 2021/07/20 09:58:01
Sieving end time  : 2021/07/21 08:54:07

Total sieving time: 22hrs 56min 6secs.

Total relation processing time: 3hrs 8min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 35sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118191] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153502] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.23 BogoMIPS (lpj=12798472)
[    0.152038] smpboot: Total of 16 processors activated (102387.77 BogoMIPS)

8023980970432288044883008773361863312192059729356482139329796466000197345775375667938901533820017352466160041145253139999050251<127>

53296425314630300220989123244493<32>
150553830262789506611028948388335085328359098385464426393105243966149247857898777576995218551607<96>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3937673268
Step 1 took 4384ms
Step 2 took 3588ms
********** Factor found in step 2: 53296425314630300220989123244493
Found probable prime factor of 32 digits: 53296425314630300220989123244493
Probable prime cofactor 150553830262789506611028948388335085328359098385464426393105243966149247857898777576995218551607 has 96 digits

GMP-ECM 6.3

112116597927077477037596832338152143637827868482431373554726716036312970416275027770753967615655347982162519292602496033913398844563948217071090319582922636198201<162>

51498889851072578730311647972863688620781130641385315850145983464097796311811342114081010481662901364532856850232361219155301814601037906908056833100011904797871604569765343796457709<182>

665543134151623948934457159220623265448369460034652523233389677697009207049275444110263599388656118953919151550792400705984926264722406873142613309054271734657514966082348275242070495544188187340878699<201>

118264008508271184592878118523595404810661238523636741558688388243075773794898213428173<87>
5627605072299549093718148226733313055665200551150936456111902758065017405383014566589852747578453644717163606000663<115>

umber: n
N=665543134151623948934457159220623265448369460034652523233389677697009207049275444110263599388656118953919151550792400705984926264722406873142613309054271734657514966082348275242070495544188187340878699  ( 201 digits)
SNFS difficulty: 215 digits.
Divisors found:

Wed Oct  7 02:10:06 2020  prp87 factor: 118264008508271184592878118523595404810661238523636741558688388243075773794898213428173
Wed Oct  7 02:10:06 2020  prp115 factor: 5627605072299549093718148226733313055665200551150936456111902758065017405383014566589852747578453644717163606000663
Wed Oct  7 02:10:06 2020  elapsed time 10:16:41 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.104).
Factorization parameters were as follows:
#
# N = 76x10^213-13 = 84(212)3
#
n: 665543134151623948934457159220623265448369460034652523233389677697009207049275444110263599388656118953919151550792400705984926264722406873142613309054271734657514966082348275242070495544188187340878699
m: 200000000000000000000000000000000000
deg: 6
c6: 2375
c0: -26
skew: 0.47
# Murphy_E = 3.057e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 53500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10108573 hash collisions in 57717885 relations (49578136 unique)
Msieve: matrix is 4090270 x 4090495 (1166.5 MB)

Sieving start time: 2020/10/05 19:11:01
Sieving end time  : 2020/10/06 15:52:31

Total sieving time: 20hrs 41min 30secs.

Total relation processing time: 9hrs 52min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 24sec.

Prototype def-par.txt line would be:
snfs,215,6,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.113540] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16228504K/16703460K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 474956K reserved, 0K cma-reserved)
[    0.148670] x86/mm: Memory block size: 128MB
[    0.000008] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.64 BogoMIPS (lpj=11977280)
[    0.146244] smpboot: Total of 16 processors activated (95818.24 BogoMIPS)

84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<215>

138283506834843911098337527408082867777884893349<48>
52302262246853857547299843409915335846436003639144004809452098617839491939839568529<83>
11675627325289132602834430265868894364297145383296890038512263626220141155300842555983<86>

Number: n
N=84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
  ( 215 digits)
SNFS difficulty: 217 digits.
Divisors found:

Mon Jul  2 03:28:19 2012  prp48 factor: 138283506834843911098337527408082867777884893349
Mon Jul  2 03:28:19 2012  prp83 factor: 52302262246853857547299843409915335846436003639144004809452098617839491939839568529
Mon Jul  2 03:28:19 2012  prp86 factor: 11675627325289132602834430265868894364297145383296890038512263626220141155300842555983
Mon Jul  2 03:28:19 2012  elapsed time 26:19:34 (Msieve 1.44 - dependency 5)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.090).
Factorization parameters were as follows:
name: KA_84443_214
n: 84444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 1000000000000000000000000000000000000
#  c215, diff: 217.28
skew: 1.61
deg: 6
c6: 19
c0: -325
# Murphy_E = 3.06e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 82900000)
Primes: RFBsize:1799676, AFBsize:1799152, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 15392420 hash collisions in 77357700 relations (64204492 unique)
Msieve: matrix is 3661537 x 3661762 (1037.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

14372616692785786044753916826675778283597530760802505243354357994826210647694298894935228277791591400233078658872479263721052992486620452835673515520747971855073415344207821956105780851213601<191>

1165574123962598524583971104183451<34>

12330933226214089444448628624642950134523931673122668155215525850320701674413259045907914524404761651501827998441143169767136802159982955762130842643645137651<158>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1840307560
Step 1 took 8783ms
Step 2 took 5444ms
********** Factor found in step 2: 1165574123962598524583971104183451
Found probable prime factor of 34 digits: 1165574123962598524583971104183451
Composite cofactor 12330933226214089444448628624642950134523931673122668155215525850320701674413259045907914524404761651501827998441143169767136802159982955762130842643645137651 has 158 digits

GMP-ECM 6.3

24225300781337911274932414747200648777492797308462102516941231141451230195535126811440850156240398694000941534860721304268026802732911304823329412898824528759368033760359742655681<179>

6066442112888288339562386437833509152889254353329314029427938565920078279260316660575684921385151304366048820321969728768117067144778075726683901932608817808095210719118451040961252019104773494986905535570329<208>

80598227585143171757979459553286214323391759567613<50>
67905322821390228828977435494666470835746141814128596735345681<62>
1108421007453985978884085836838810951647218429119660952076257736388208184064524553145675255850493<97>

#
# N = 76x10^219-13 = 84(218)3
#
n: 6066442112888288339562386437833509152889254353329314029427938565920078279260316660575684921385151304366048820321969728768117067144778075726683901932608817808095210719118451040961252019104773494986905535570329
m: 2000000000000000000000000000000000000
deg: 6
c6: 2375
c0: -26
skew: 0.47
# Murphy_E = 1.92e-12
type: snfs
lss: 1
rlim: 34000000
alim: 34000000
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 6066442112888288339562386437833509152889254353329314029427938565920078279260316660575684921385151304366048820321969728768117067144778075726683901932608817808095210719118451040961252019104773494986905535570329 (208 digits)
Using B1=1500000000, B2=38989365545148, polynomial Dickson(30), sigma=3556130808
Step 1 took 8208646ms
Step 2 took 1150635ms
********** Factor found in step 2: 80598227585143171757979459553286214323391759567613
Found probable prime factor of 50 digits: 80598227585143171757979459553286214323391759567613
Composite cofactor 75267686333173503031084296338201256120091676088060022085409694162398615757749332496396371916962692572727023943251244438679101326664332689142915216058009270733 has 158 digits



Number: n
N=6066442112888288339562386437833509152889254353329314029427938565920078279260316660575684921385151304366048820321969728768117067144778075726683901932608817808095210719118451040961252019104773494986905535570329
  ( 208 digits)
SNFS difficulty: 221 digits.
Divisors found:

Wed Dec 18 09:03:04 2019  found factor: 67905322821390228828977435494666470835746141814128596735345681
Wed Dec 18 09:14:19 2019  found factor: 67905322821390228828977435494666470835746141814128596735345681
Wed Dec 18 09:25:38 2019  p50 factor: 80598227585143171757979459553286214323391759567613
Wed Dec 18 09:25:38 2019  p62 factor: 67905322821390228828977435494666470835746141814128596735345681
Wed Dec 18 09:25:38 2019  p97 factor: 1108421007453985978884085836838810951647218429119660952076257736388208184064524553145675255850493
Wed Dec 18 09:25:38 2019  elapsed time 12:42:55 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.129).
Factorization parameters were as follows:
#
# N = 76x10^219-13 = 84(218)3
#
n: 6066442112888288339562386437833509152889254353329314029427938565920078279260316660575684921385151304366048820321969728768117067144778075726683901932608817808095210719118451040961252019104773494986905535570329
m: 2000000000000000000000000000000000000
deg: 6
c6: 2375
c0: -26
skew: 0.47
# Murphy_E = 1.92e-12
type: snfs
lss: 1
rlim: 34000000
alim: 34000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 34000000/34000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 100200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9878077 hash collisions in 57241004 relations (49350808 unique)
Msieve: matrix is 5088531 x 5088756 (1786.3 MB)

Sieving start time: 2019/12/15 16:28:44
Sieving end time  : 2019/12/17 20:41:05

Total sieving time: 52hrs 12min 21secs.

Total relation processing time: 11hrs 36min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 45min 5sec.

Prototype def-par.txt line would be:
snfs,221,6,0,0,0,0,0,0,0,0,34000000,34000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149711] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283564K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2432K init, 2388K bss, 419896K reserved, 0K cma-reserved)
[    0.184572] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977084)
[    0.182221] smpboot: Total of 16 processors activated (95816.67 BogoMIPS)

713035580031015976301569727310901261568776061392398717167592883513454757023528739344559656911724751013649246156375771698014042672638243577264063394460769342447995474029923229948155157644417643050703180729352477963<213>

1029445041078172304770983739815089629<37>

692640744846592206663143988234981662781155387805606242567087417196802349507756525903348538885078306501599316816791348209231808669486875839374396155188980920942096862408677872647<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3395055931
Step 1 took 31310ms
Step 2 took 11013ms
********** Factor found in step 2: 1029445041078172304770983739815089629
Found probable prime factor of 37 digits: 1029445041078172304770983739815089629

692640744846592206663143988234981662781155387805606242567087417196802349507756525903348538885078306501599316816791348209231808669486875839374396155188980920942096862408677872647<177>

24363980474014522545452786175127581515984834220178417<53>
16099110100841715884433068137399472625832399285899741273275951<62>
1765866721681136771766224398422758590182958992693872531981181241<64>

Number: 84443_221
N = 692640744846592206663143988234981662781155387805606242567087417196802349507756525903348538885078306501599316816791348209231808669486875839374396155188980920942096862408677872647 (177 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=24363980474014522545452786175127581515984834220178417 (pp53)
r2=16099110100841715884433068137399472625832399285899741273275951 (pp62)
r3=1765866721681136771766224398422758590182958992693872531981181241 (pp64)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 87.82 hours.
Factorization parameters were as follows:
n: 692640744846592206663143988234981662781155387805606242567087417196802349507756525903348538885078306501599316816791348209231808669486875839374396155188980920942096862408677872647
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 760
c0: -13
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: 30279740
Relations: 9838520 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 28.27 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 8350493 x 8350718
Matrix solve time: 58.64 hours.
time per square root: 0.54 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 87.82 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

47800403243801511806707674990109997749385669075823349276215645957657744685279767183763089353837536936580082098050199774570072139805664788636452608716937850414873403697730736995376741861232264368728912118168790647<212>

7975388951707714688463796387776054371446713253187745250787645970820914110452313452354308553697837188221497930276741398164011722653206047734542789550214239578029949011422670835076677504991146616751<196>

341409496666073360603220833400882958061<39>

23360184850125310694428909788738234370252371088039077879816892582860323729660585619221547605183184479450244770129706257316513181695326987081152545817278161291<158>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=14465015
Step 1 took 27094ms
Step 2 took 9922ms
********** Factor found in step 2: 341409496666073360603220833400882958061
Found probable prime factor of 39 digits: 341409496666073360603220833400882958061

560043674959086559809536162803224096948906619665908285234513715265459306085482461088124841439841050839127703878029582596254477248158343741278803085792506629513010762875378201531295154439853<189>

354867116314668749586441347116058032280828292043724146847776686252446410319045570616909370405815809256820644872975306011853229977939688146408894083565348584305269<162>

4256887658766735010694952539520794543<37>
83363044731482877341341389988024497353915013213522159014010941965625273845081720900368614985248290392825871570669551627187483<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2602105610
Step 1 took 19763ms
Step 2 took 8019ms
********** Factor found in step 2: 4256887658766735010694952539520794543
Found probable prime factor of 37 digits: 4256887658766735010694952539520794543

1906958259202105423671661363326526516322692429617582097898235028687097742831164907636553126716587199208496749854276833400092516083074105499095470496369289125997830460573929776659369484574685541856086441<202>

24653271772555409904543966390572405162664708400177224677784321246868514834870123280465292961173630183432412953050988250056428449869900909483380516739432745538791062739959045201975957972196957481432113774899157111177993<218>

902065345714830729853445076593320802324199327991898086599343146060124056545157983328070515105092747152467963626731202718213584213443273557452060109947550237269050944401219773<174>

44547140890066677977784332974845340055429<41>
20249679950076825730568092607932018979528275584741887472189871203665171653868009130059931929976333429383032047753308270893195207794137<134>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4039619410
Step 1 took 469225ms
Step 2 took 116726ms
********** Factor found in step 2: 44547140890066677977784332974845340055429
Found probable prime factor of 41 digits: 44547140890066677977784332974845340055429

2145033126887086413707640142585711397332768302099110710021792332124107491378744367338549582893372914174067297013203453616901699652421792487123239438494408567738466638430266190651181911409224449461609953164437797<211>

752823878373922182255585573750912072172197386969579232757817516420463843063178058642895264162102257641064085714578625766516032221750294861867834352071399646709487566575277930511992408654693<189>

736839037099904510619488936093974921<36>
1021693803489201350246909645241589118773513053945027941809410869793492860814662238783055703882206365553610277419414771899228944791344337912511957135886333<154>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=66342463
Step 1 took 8549ms
Step 2 took 5335ms
********** Factor found in step 2: 736839037099904510619488936093974921
Found probable prime factor of 36 digits: 736839037099904510619488936093974921
Probable prime cofactor 1021693803489201350246909645241589118773513053945027941809410869793492860814662238783055703882206365553610277419414771899228944791344337912511957135886333 has 154 digits

GMP-ECM 6.3

39603942319763520592089072259475303635888729662923886597466547827705149674531522735976006202215110556974823682697729742226383390739007049255307419999612390428506571416739087320299967<182>

1962541684833138056151522785860255817<37>

20179924139104735480130653386498592400613795630095521112284547468331138306526737679042267090519685609303165857104483040911307289588031483643754951<146>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1745509468
Step 1 took 8869ms
Step 2 took 6428ms
********** Factor found in step 2: 1962541684833138056151522785860255817
Found probable prime factor of 37 digits: 1962541684833138056151522785860255817
Composite cofactor 201799241391... has 146 digits

20179924139104735480130653386498592400613795630095521112284547468331138306526737679042267090519685609303165857104483040911307289588031483643754951<146>

30224611503206754043322724949102587053<38>
667665294455933605550160026486699242629914788801179128059234934456346302545691868809351586650076548039260867<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3320825355
Step 1 took 16499ms
Step 2 took 7093ms
********** Factor found in step 2: 30224611503206754043322724949102587053
Found probable prime factor of 38 digits: 30224611503206754043322724949102587053

213257567808033763293412910227426811635366738036648752335796886704937033233145643163416354080971999824891323769751789497227993718149339846744699155182789183208008348288722316364686099117735155410127841<201>

3164377490736633046895807737567861<34>

67393213493750928906213240505211861775563408196777047298617103781121681064358001143737447727148181865013244046009449283917969477599081503854352209103298075317240645181<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=85978053
Step 1 took 27073ms
Step 2 took 9948ms
********** Factor found in step 2: 3164377490736633046895807737567861
Found probable prime factor of 34 digits: 3164377490736633046895807737567861

67393213493750928906213240505211861775563408196777047298617103781121681064358001143737447727148181865013244046009449283917969477599081503854352209103298075317240645181<167>

2667799886603339287919509824609728873519203<43>
25261719903420649898049106182813545766320771858817843430667909585730859992866612806143506063358615982338920794287377442248927<125>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4210401749
Step 1 took 100236ms
Step 2 took 34264ms
********** Factor found in step 2: 2667799886603339287919509824609728873519203
Found probable prime factor of 43 digits: 2667799886603339287919509824609728873519203

2244987981969829485891447432407552548803121967367612002747716042862167311400734760664145411282392474568602010630827876421245221327657202503471004310843758770957671527039659304947545694844580757906691723<202>

79391893513730652614446830791009<32>

28277294854814916001010847404773270151484586792168368550436853497202205311827454029070073572855061758782404810564471022670289426596008449416722063405693853340453279312747<170>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3636613366
Step 1 took 10280ms
Step 2 took 6981ms
********** Factor found in step 2: 79391893513730652614446830791009
Found probable prime factor of 32 digits: 79391893513730652614446830791009
Composite cofactor 282772948548... has 170 digits

28277294854814916001010847404773270151484586792168368550436853497202205311827454029070073572855061758782404810564471022670289426596008449416722063405693853340453279312747<170>

142871547638123859594626914664980387<36>
197921106912328284391539000719572564652243344656280474858864253544322007316694473808348149872813291696549050290277583372111999523152281<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1813701230
Step 1 took 20445ms
Step 2 took 8351ms
********** Factor found in step 2: 142871547638123859594626914664980387
Found probable prime factor of 36 digits: 142871547638123859594626914664980387

29847902801345500871457098213044645927548075238078709014667389678599953141390485241460333834300051983766265538748299786538606332901890447920327531849669372339868619361710408798481462007992810161977995732591<206>

265567613326574288101092932278675652568646265610248276460558343607324894700356168940555955061536693763616305496582278894551944597783269989705840621378328887290130640105898588343771537<183>

11842244686405378590072970552918673501881951416518861707475505443924312345438010150307816200436301363055917438966460213770211894514370016947571233403947170316834617838820644123610932371780735865693979787234708681<212>

666277975756428952554982920001<30>

17773729760406405156066318963776358592129248617252123169746496604900344891873194113286119726120231812960722208334184323287744117268588784002858720136860012365295269563147534906188681<182>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4102425517
Step 1 took 9890ms
Step 2 took 6069ms
********** Factor found in step 2: 666277975756428952554982920001
Found probable prime factor of 30 digits: 666277975756428952554982920001
Composite cofactor 17773729760406405156066318963776358592129248617252123169746496604900344891873194113286119726120231812960722208334184323287744117268588784002858720136860012365295269563147534906188681 has 182 digits

GMP-ECM 6.3

1325713084665472090480095936190872852237750062466100122396184235328869634918910314545256969269092430999736416270951300932423295464807921712255202486959869323972594063534743863260918551279<187>

1520534134146510020489894942411849353565279<43>
871873281167480794082361843796843691055921611079686617773659221678176168261518593225865218116717017433494653890537044812132534571402522214534001<144>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2817630651
Step 1 took 334726ms
Step 2 took 93752ms
********** Factor found in step 2: 1520534134146510020489894942411849353565279
Found probable prime factor of 43 digits: 1520534134146510020489894942411849353565279

136786751563766367791538744094712430793321326408773610649956465129903532760380278112580689262094390445785711036452531682816496510455125762835714420012908508170638052281605937514780713979051561255128629143842102628588688449<222>

1258738220458902175450531597271518568131447566785681824119765244346716643606034548139721916206364150612898890303915484032246502748758196454568512091486318082909861351937327286552686370086183895991950730170470654651<214>

14257792345766537739345255794621<32>

88284230120145502881806694114736486063759896803074240126583823691482136764773574473769373368184228645232129043145671767358582402525525307613475080021089190005461239731173607611113431<182>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2309868328
Step 1 took 11669ms
Step 2 took 6443ms
********** Factor found in step 2: 14257792345766537739345255794621
Found probable prime factor of 32 digits: 14257792345766537739345255794621
Composite cofactor 88284230120145502881806694114736486063759896803074240126583823691482136764773574473769373368184228645232129043145671767358582402525525307613475080021089190005461239731173607611113431 has 182 digits

GMP-ECM 6.3

1146080526739068521486588102644486610647104048053279326906399957912183216422571141100265478138453858624648805432040836088141082444076747730650887706240250143101461869489115801945418220434992279210625522115174214342914981689462750469755901<238>

651529770544762965347960004399079763329291782571410949503983126114756884802913607316227988481925043221759474634707608328430823781908284558421035281471023185274996978725353017045786136982499958939<195>

10602769728341317775068943924817663749647623258117463782904129420790499476695261380666524507418069786420546671250319909541603253074833811904947085708386664990831921463640932330110473431227021315714553041369056396173585895039363<227>