1533123829798672930103623028189787336484950112734032831831104653861755978587613136738518636027<94>

15228969283328568516002938499690549<35>
100671542589360374820010743674518363883167127317682185376623<60>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2296685655
Step 1 took 1812ms
Step 2 took 1504ms
********** Factor found in step 2: 15228969283328568516002938499690549
Found probable prime factor of 35 digits: 15228969283328568516002938499690549
Probable prime cofactor 100671542589360374820010743674518363883167127317682185376623 has 60 digits

GMP-ECM 6.2.1

9769376177262383140812846225412865846706679693162836475583025059828022012012145065217901613469<94>

43086254634327649365606923085903856891003<41>
226739972183122477267800170574550311949755005078106823<54>

Thu Dec 18 13:46:28 2008  Msieve v. 1.39
Thu Dec 18 13:46:28 2008  random seeds: a062d230 7342cb8e
Thu Dec 18 13:46:28 2008  factoring 9769376177262383140812846225412865846706679693162836475583025059828022012012145065217901613469 (94 digits)
Thu Dec 18 13:46:29 2008  searching for 15-digit factors
Thu Dec 18 13:46:31 2008  commencing quadratic sieve (94-digit input)
Thu Dec 18 13:46:31 2008  using multiplier of 1
Thu Dec 18 13:46:31 2008  using 32kb Intel Core sieve core
Thu Dec 18 13:46:31 2008  sieve interval: 36 blocks of size 32768
Thu Dec 18 13:46:31 2008  processing polynomials in batches of 6
Thu Dec 18 13:46:31 2008  using a sieve bound of 2090227 (77647 primes)
Thu Dec 18 13:46:31 2008  using large prime bound of 296812234 (28 bits)
Thu Dec 18 13:46:31 2008  using double large prime bound of 1780193407171906 (42-51 bits)
Thu Dec 18 13:46:31 2008  using trial factoring cutoff of 51 bits
Thu Dec 18 13:46:31 2008  polynomial 'A' values have 12 factors
Thu Dec 18 14:13:12 2008  2642 relations (2371 full + 271 combined from 141243 partial), need 77743
Thu Dec 18 14:13:12 2008  elapsed time 00:26:44
Thu Dec 18 14:32:42 2008  
Thu Dec 18 14:32:42 2008  
Thu Dec 18 14:32:42 2008  Msieve v. 1.39
Thu Dec 18 14:32:42 2008  random seeds: fba8aee8 1a77b463
Thu Dec 18 14:32:42 2008  factoring 9769376177262383140812846225412865846706679693162836475583025059828022012012145065217901613469 (94 digits)
Thu Dec 18 14:32:43 2008  searching for 15-digit factors
Thu Dec 18 14:32:44 2008  commencing quadratic sieve (94-digit input)
Thu Dec 18 14:32:44 2008  using multiplier of 1
Thu Dec 18 14:32:44 2008  using 32kb Intel Core sieve core
Thu Dec 18 14:32:44 2008  sieve interval: 36 blocks of size 32768
Thu Dec 18 14:32:44 2008  processing polynomials in batches of 6
Thu Dec 18 14:32:44 2008  using a sieve bound of 2090227 (77647 primes)
Thu Dec 18 14:32:44 2008  using large prime bound of 296812234 (28 bits)
Thu Dec 18 14:32:44 2008  using double large prime bound of 1780193407171906 (42-51 bits)
Thu Dec 18 14:32:44 2008  using trial factoring cutoff of 51 bits
Thu Dec 18 14:32:44 2008  polynomial 'A' values have 12 factors
Thu Dec 18 14:32:45 2008  restarting with 2371 full and 141243 partial relations
Thu Dec 18 17:41:26 2008  77942 relations (18849 full + 59093 combined from 1146357 partial), need 77743
Thu Dec 18 17:41:27 2008  begin with 1165206 relations
Thu Dec 18 17:41:29 2008  reduce to 204517 relations in 12 passes
Thu Dec 18 17:41:29 2008  attempting to read 204517 relations
Thu Dec 18 17:41:32 2008  recovered 204517 relations
Thu Dec 18 17:41:32 2008  recovered 188574 polynomials
Thu Dec 18 17:41:32 2008  attempting to build 77942 cycles
Thu Dec 18 17:41:32 2008  found 77942 cycles in 5 passes
Thu Dec 18 17:41:32 2008  distribution of cycle lengths:
Thu Dec 18 17:41:32 2008     length 1 : 18849
Thu Dec 18 17:41:32 2008     length 2 : 13493
Thu Dec 18 17:41:32 2008     length 3 : 13130
Thu Dec 18 17:41:32 2008     length 4 : 10465
Thu Dec 18 17:41:32 2008     length 5 : 7976
Thu Dec 18 17:41:32 2008     length 6 : 5543
Thu Dec 18 17:41:32 2008     length 7 : 3515
Thu Dec 18 17:41:32 2008     length 9+: 4971
Thu Dec 18 17:41:32 2008  largest cycle: 19 relations
Thu Dec 18 17:41:32 2008  matrix is 77647 x 77942 (20.2 MB) with weight 4982155 (63.92/col)
Thu Dec 18 17:41:32 2008  sparse part has weight 4982155 (63.92/col)
Thu Dec 18 17:41:34 2008  filtering completed in 3 passes
Thu Dec 18 17:41:34 2008  matrix is 74265 x 74329 (19.3 MB) with weight 4766944 (64.13/col)
Thu Dec 18 17:41:34 2008  sparse part has weight 4766944 (64.13/col)
Thu Dec 18 17:41:34 2008  saving the first 48 matrix rows for later
Thu Dec 18 17:41:34 2008  matrix is 74217 x 74329 (12.1 MB) with weight 3736169 (50.27/col)
Thu Dec 18 17:41:34 2008  sparse part has weight 2737005 (36.82/col)
Thu Dec 18 17:41:34 2008  matrix includes 64 packed rows
Thu Dec 18 17:41:34 2008  using block size 29731 for processor cache size 1024 kB
Thu Dec 18 17:41:34 2008  commencing Lanczos iteration
Thu Dec 18 17:41:34 2008  memory use: 11.8 MB
Thu Dec 18 17:42:10 2008  lanczos halted after 1175 iterations (dim = 74213)
Thu Dec 18 17:42:10 2008  recovered 15 nontrivial dependencies
Thu Dec 18 17:42:11 2008  prp41 factor: 43086254634327649365606923085903856891003
Thu Dec 18 17:42:11 2008  prp54 factor: 226739972183122477267800170574550311949755005078106823
Thu Dec 18 17:42:11 2008  elapsed time 03:09:29

206374809239074354671402425447100162384389374955873807235066338639338297190587136332285166539040139900397<105>

10295641543941343571168747279625193234146247799<47>
20044871255305051171624283732903041074399663885329714243003<59>

Number: n
N=206374809239074354671402425447100162384389374955873807235066338639338297190587136332285166539040139900397
  ( 105 digits)
SNFS difficulty: 109 digits.
Divisors found:
 r1=10295641543941343571168747279625193234146247799 (pp47)
 r2=20044871255305051171624283732903041074399663885329714243003 (pp59)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.93 hours.
Scaled time: 1.70 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_4_2_107_3
n: 206374809239074354671402425447100162384389374955873807235066338639338297190587136332285166539040139900397
type: snfs
skew: 0.36
deg: 5
c5: 2375
c0: 14
m: 2000000000000000000000
rlim: 450000
alim: 450000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [225000, 305001)
Primes: RFBsize:37706, AFBsize:38049, largePrimes:4928369 encountered
Relations: rels:4458518, finalFF:266912
Max relations in full relation-set: 48
Initial matrix: 75821 x 266912 with sparse part having weight 35358891.
Pruned matrix : 56879 x 57322 with weight 4347894.
Total sieving time: 0.83 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.02 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,109,5,0,0,0,0,0,0,0,0,450000,450000,28,28,56,56,2.5,2.5,50000
total time: 0.93 hours.
 --------- CPU info (if available) ----------

3615626638842449735144263478960074279461832207842552622738456544970528368794580610388486685596801536043<103>

1945013057622469055928792403006550216266423129<46>
1858921524805644843829335015271915581157210985408240421667<58>

Number: 42223_112
N=3615626638842449735144263478960074279461832207842552622738456544970528368794580610388486685596801536043
  ( 103 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=1945013057622469055928792403006550216266423129 (prp46)
 r2=1858921524805644843829335015271915581157210985408240421667 (prp58)
Version: 
Total time: 1.45 hours.
Scaled time: 2.90 units (timescale=2.003).
Factorization parameters were as follows:
name: 42223_112
n: 3615626638842449735144263478960074279461832207842552622738456544970528368794580610388486685596801536043
m: 20000000000000000000000
deg: 5
c5: 475
c0: 28
skew: 0.57
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [280000, 480001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 60412 x 60652
Total sieving time: 1.45 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 1.45 hours.
 --------- CPU info (if available) ----------

10971897930813425274869156495205138122741990801162120520681589565626234907052249695702572980219245299<101>

1634864409020671635063265717434331<34>
6711197497648071834292573110422804102757555587356032161168057878729<67>

Number: 42223_115
N=10971897930813425274869156495205138122741990801162120520681589565626234907052249695702572980219245299
  ( 101 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=1634864409020671635063265717434331 (prp34)
 r2=6711197497648071834292573110422804102757555587356032161168057878729 (prp67)
Version: 
Total time: 1.49 hours.
Scaled time: 2.96 units (timescale=1.985).
Factorization parameters were as follows:
name: 42223_115
n: 10971897930813425274869156495205138122741990801162120520681589565626234907052249695702572980219245299
m: 100000000000000000000000
deg: 5
c5: 38
c0: 7
skew: 0.71
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 505001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62313 x 62551
Total sieving time: 1.49 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,116,5,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,50000
total time: 1.49 hours.
 --------- CPU info (if available) ----------

399109397881506310287181267821416189284563845372835921190177833695104996755135566434437511494088087015091271593<111>

5573083583773648271800694651315923853073163<43>
71613747018533179366658876906680060578395225670235050033207926163611<68>

Number: n
N=399109397881506310287181267821416189284563845372835921190177833695104996755135566434437511494088087015091271593
  ( 111 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=5573083583773648271800694651315923853073163 (pp43)
 r2=71613747018533179366658876906680060578395225670235050033207926163611 (pp68)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.18 hours.
Scaled time: 2.15 units (timescale=1.822).
Factorization parameters were as follows:
name: KA_4_2_115_3
n: 399109397881506310287181267821416189284563845372835921190177833695104996755135566434437511494088087015091271593
type: snfs
skew: 0.45
deg: 5
c5: 380
c0: 7
m: 100000000000000000000000
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [250000, 370001)
Primes: RFBsize:41538, AFBsize:41837, largePrimes:5004377 encountered
Relations: rels:4345290, finalFF:125163
Max relations in full relation-set: 48
Initial matrix: 83442 x 125163 with sparse part having weight 17533216.
Pruned matrix : 76901 x 77382 with weight 7526306.
Total sieving time: 1.04 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.03 hours.
Total square root time: 0.04 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,500000,500000,28,28,56,56,2.5,2.5,50000
total time: 1.18 hours.
 --------- CPU info (if available) ----------

14595837604891628552348108255737179313931799325177429616056819579069705362946879070038657<89>

69563816005530066987621201677220218900731<41>
209819392365296826977778796234537568048688935347<48>

Thu Dec 18 12:29:54 2008  Msieve v. 1.39
Thu Dec 18 12:29:54 2008  random seeds: 83cedefc 8d8bdba6
Thu Dec 18 12:29:54 2008  factoring 14595837604891628552348108255737179313931799325177429616056819579069705362946879070038657 (89 digits)
Thu Dec 18 12:29:55 2008  searching for 15-digit factors
Thu Dec 18 12:29:56 2008  commencing quadratic sieve (89-digit input)
Thu Dec 18 12:29:56 2008  using multiplier of 73
Thu Dec 18 12:29:56 2008  using 32kb Intel Core sieve core
Thu Dec 18 12:29:56 2008  sieve interval: 28 blocks of size 32768
Thu Dec 18 12:29:56 2008  processing polynomials in batches of 8
Thu Dec 18 12:29:56 2008  using a sieve bound of 1537153 (58242 primes)
Thu Dec 18 12:29:56 2008  using large prime bound of 122972240 (26 bits)
Thu Dec 18 12:29:56 2008  using double large prime bound of 364462296550480 (42-49 bits)
Thu Dec 18 12:29:56 2008  using trial factoring cutoff of 49 bits
Thu Dec 18 12:29:56 2008  polynomial 'A' values have 12 factors
Thu Dec 18 13:23:00 2008  58458 relations (16648 full + 41810 combined from 606551 partial), need 58338
Thu Dec 18 13:23:01 2008  begin with 623199 relations
Thu Dec 18 13:23:01 2008  reduce to 137918 relations in 9 passes
Thu Dec 18 13:23:01 2008  attempting to read 137918 relations
Thu Dec 18 13:23:03 2008  recovered 137918 relations
Thu Dec 18 13:23:03 2008  recovered 115182 polynomials
Thu Dec 18 13:23:03 2008  attempting to build 58458 cycles
Thu Dec 18 13:23:03 2008  found 58458 cycles in 5 passes
Thu Dec 18 13:23:03 2008  distribution of cycle lengths:
Thu Dec 18 13:23:03 2008     length 1 : 16648
Thu Dec 18 13:23:03 2008     length 2 : 11814
Thu Dec 18 13:23:03 2008     length 3 : 10413
Thu Dec 18 13:23:03 2008     length 4 : 7579
Thu Dec 18 13:23:03 2008     length 5 : 5155
Thu Dec 18 13:23:03 2008     length 6 : 3172
Thu Dec 18 13:23:03 2008     length 7 : 1719
Thu Dec 18 13:23:03 2008     length 9+: 1958
Thu Dec 18 13:23:03 2008  largest cycle: 15 relations
Thu Dec 18 13:23:04 2008  matrix is 58242 x 58458 (13.7 MB) with weight 3359561 (57.47/col)
Thu Dec 18 13:23:04 2008  sparse part has weight 3359561 (57.47/col)
Thu Dec 18 13:23:04 2008  filtering completed in 3 passes
Thu Dec 18 13:23:04 2008  matrix is 53596 x 53660 (12.7 MB) with weight 3108809 (57.94/col)
Thu Dec 18 13:23:04 2008  sparse part has weight 3108809 (57.94/col)
Thu Dec 18 13:23:04 2008  saving the first 48 matrix rows for later
Thu Dec 18 13:23:04 2008  matrix is 53548 x 53660 (7.8 MB) with weight 2389963 (44.54/col)
Thu Dec 18 13:23:04 2008  sparse part has weight 1717555 (32.01/col)
Thu Dec 18 13:23:04 2008  matrix includes 64 packed rows
Thu Dec 18 13:23:04 2008  using block size 21464 for processor cache size 1024 kB
Thu Dec 18 13:23:05 2008  commencing Lanczos iteration
Thu Dec 18 13:23:05 2008  memory use: 7.7 MB
Thu Dec 18 13:23:21 2008  lanczos halted after 848 iterations (dim = 53545)
Thu Dec 18 13:23:21 2008  recovered 15 nontrivial dependencies
Thu Dec 18 13:23:22 2008  prp41 factor: 69563816005530066987621201677220218900731
Thu Dec 18 13:23:22 2008  prp48 factor: 209819392365296826977778796234537568048688935347
Thu Dec 18 13:23:22 2008  elapsed time 00:53:28

46913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247<119>

17796655303796507065144186379611<32>
2636089728439345957807003412593302655340134489266022323067968446022844599735148064148277<88>

Number: 42223_119
N=46913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247
  ( 119 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=17796655303796507065144186379611 (prp32)
 r2=2636089728439345957807003412593302655340134489266022323067968446022844599735148064148277 (prp88)
Version: 
Total time: 1.91 hours.
Scaled time: 3.77 units (timescale=1.978).
Factorization parameters were as follows:
name: 42223_119
n: 46913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580246913580247
m: 1000000000000000000000000
deg: 5
c5: 19
c0: 35
skew: 1.13
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 620001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 81734 x 81967
Total sieving time: 1.91 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,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 1.91 hours.
 --------- CPU info (if available) ----------

120385910243073423257026243810404870767812331654226840017936550483511807178296703100252683400403<96>

19955093527642430225778981756086814003767<41>
6032841192967150543154636232473256336681085904002749509<55>

Fri Dec 19 07:35:03 2008  Msieve v. 1.39
Fri Dec 19 07:35:03 2008  random seeds: 6b80e7dc 791eff7b
Fri Dec 19 07:35:03 2008  factoring 120385910243073423257026243810404870767812331654226840017936550483511807178296703100252683400403 (96 digits)
Fri Dec 19 07:35:04 2008  searching for 15-digit factors
Fri Dec 19 07:35:05 2008  commencing quadratic sieve (96-digit input)
Fri Dec 19 07:35:05 2008  using multiplier of 37
Fri Dec 19 07:35:05 2008  using 32kb Intel Core sieve core
Fri Dec 19 07:35:05 2008  sieve interval: 36 blocks of size 32768
Fri Dec 19 07:35:05 2008  processing polynomials in batches of 6
Fri Dec 19 07:35:06 2008  using a sieve bound of 2192963 (81176 primes)
Fri Dec 19 07:35:06 2008  using large prime bound of 328944450 (28 bits)
Fri Dec 19 07:35:06 2008  using double large prime bound of 2142005338065300 (43-51 bits)
Fri Dec 19 07:35:06 2008  using trial factoring cutoff of 51 bits
Fri Dec 19 07:35:06 2008  polynomial 'A' values have 12 factors
Fri Dec 19 07:35:06 2008  restarting with 1596 full and 94647 partial relations
Fri Dec 19 11:27:17 2008  81338 relations (20175 full + 61163 combined from 1215310 partial), need 81272
Fri Dec 19 11:27:18 2008  begin with 1235485 relations
Fri Dec 19 11:27:20 2008  reduce to 211262 relations in 11 passes
Fri Dec 19 11:27:20 2008  attempting to read 211262 relations
Fri Dec 19 11:27:23 2008  recovered 211262 relations
Fri Dec 19 11:27:23 2008  recovered 196167 polynomials
Fri Dec 19 11:27:23 2008  attempting to build 81338 cycles
Fri Dec 19 11:27:23 2008  found 81338 cycles in 5 passes
Fri Dec 19 11:27:23 2008  distribution of cycle lengths:
Fri Dec 19 11:27:23 2008     length 1 : 20175
Fri Dec 19 11:27:23 2008     length 2 : 14340
Fri Dec 19 11:27:23 2008     length 3 : 13606
Fri Dec 19 11:27:23 2008     length 4 : 10935
Fri Dec 19 11:27:23 2008     length 5 : 8292
Fri Dec 19 11:27:23 2008     length 6 : 5597
Fri Dec 19 11:27:23 2008     length 7 : 3511
Fri Dec 19 11:27:23 2008     length 9+: 4882
Fri Dec 19 11:27:23 2008  largest cycle: 19 relations
Fri Dec 19 11:27:24 2008  matrix is 81176 x 81338 (22.8 MB) with weight 5643868 (69.39/col)
Fri Dec 19 11:27:24 2008  sparse part has weight 5643868 (69.39/col)
Fri Dec 19 11:27:25 2008  filtering completed in 3 passes
Fri Dec 19 11:27:25 2008  matrix is 77244 x 77308 (21.8 MB) with weight 5404103 (69.90/col)
Fri Dec 19 11:27:25 2008  sparse part has weight 5404103 (69.90/col)
Fri Dec 19 11:27:25 2008  saving the first 48 matrix rows for later
Fri Dec 19 11:27:25 2008  matrix is 77196 x 77308 (16.0 MB) with weight 4523024 (58.51/col)
Fri Dec 19 11:27:25 2008  sparse part has weight 3722876 (48.16/col)
Fri Dec 19 11:27:25 2008  matrix includes 64 packed rows
Fri Dec 19 11:27:25 2008  using block size 30923 for processor cache size 1024 kB
Fri Dec 19 11:27:26 2008  commencing Lanczos iteration
Fri Dec 19 11:27:26 2008  memory use: 14.0 MB
Fri Dec 19 11:28:10 2008  lanczos halted after 1222 iterations (dim = 77195)
Fri Dec 19 11:28:11 2008  recovered 18 nontrivial dependencies
Fri Dec 19 11:28:12 2008  prp41 factor: 19955093527642430225778981756086814003767
Fri Dec 19 11:28:12 2008  prp55 factor: 6032841192967150543154636232473256336681085904002749509
Fri Dec 19 11:28:12 2008  elapsed time 03:53:09

6093066417149952780747582444056262558825062765883750556112368024929007747021759924212567087284879117048960830224349<115>

95138006685886098469807972853<29>
1360440358306411252248900367385263<34>
47076303835257146062311650641289379426604433502131591<53>

Number: 42223_123
N=6093066417149952780747582444056262558825062765883750556112368024929007747021759924212567087284879117048960830224349
  ( 115 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=95138006685886098469807972853 (prp29)
 r2=1360440358306411252248900367385263 (prp34)
 r3=47076303835257146062311650641289379426604433502131591 (prp53)
Version: 
Total time: 1.98 hours.
Scaled time: 5.07 units (timescale=2.564).
Factorization parameters were as follows:
name: 42223_123
n: 6093066417149952780747582444056262558825062765883750556112368024929007747021759924212567087284879117048960830224349
m: 10000000000000000000000000
deg: 5
c5: 19
c0: 350
skew: 1.79
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 745001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 122288 x 122535
Total sieving time: 1.98 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 1.98 hours.
 --------- CPU info (if available) ----------

5607945573412434881421466625344962441522409645666386269387996044922595593335399418544590546184383347353197266864420536887<121>

2711151477562038629795543684920467598635043008193<49>
2068473716730609939247632473759947310004060663074300121852699702217549559<73>

Number: 42223_124
N=5607945573412434881421466625344962441522409645666386269387996044922595593335399418544590546184383347353197266864420536887
  ( 121 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=2711151477562038629795543684920467598635043008193 (prp49)
 r2=2068473716730609939247632473759947310004060663074300121852699702217549559   (prp73)
Version: 
Total time: 2.63 hours.
Scaled time: 5.29 units (timescale=2.010).
Factorization parameters were as follows:
name: 42223_124
n: 5607945573412434881421466625344962441522409645666386269387996044922595593335399418544590546184383347353197266864420536887
m: 10000000000000000000000000
deg: 5
c5: 19
c0: 35
skew: 1.13
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 745001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 113109 x 113351
Total sieving time: 2.63 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 2.63 hours.
 --------- CPU info (if available) ----------

133293509326788711666710854874444178050766096891403697830905172109269902185821542440145829581270460044999253<108>

116295998349478982853156680832900513953293021<45>
1146157315974285019595546328596583393702116364957884428638802393<64>

Number: 42223_125
N=133293509326788711666710854874444178050766096891403697830905172109269902185821542440145829581270460044999253
  ( 108 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=116295998349478982853156680832900513953293021 (prp45)
 r2=1146157315974285019595546328596583393702116364957884428638802393 (prp64)
Version: 
Total time: 2.03 hours.
Scaled time: 5.24 units (timescale=2.575).
Factorization parameters were as follows:
name: 42223_125
n: 133293509326788711666710854874444178050766096891403697830905172109269902185821542440145829581270460044999253
m: 10000000000000000000000000
deg: 5
c5: 38
c0: 7
skew: 0.71
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112736 x 112984
Total sieving time: 2.03 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 2.03 hours.
 --------- CPU info (if available) ----------

1142965127465948919158699701485164461510638059759591797889499511512820592383071296850919410053462850517519989880703<115>

205996789767280236842224092563294819222483899476019914763<57>
5548460870468833125139443648463825083675241175547040412381<58>

SNFS difficulty: 131 digits.
Divisors found:
 r1=205996789767280236842224092563294819222483899476019914763 (pp57)
 r2=5548460870468833125139443648463825083675241175547040412381 (pp58)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
n: 1142965127465948919158699701485164461510638059759591797889499511512820592383071296850919410053462850517519989880703
m: 100000000000000000000000000
deg: 5
c5: 19
c0: 350
skew: 1.79
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [540000, 940001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 166698 x 166946
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,49,49,2.3,2.3,50000
total time: 2.50 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

42222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<131>

678551793747462240865698141675319<33>
62224022707301452482853572488992317799268371175008642178618762222983732884341974062619005483162217<98>

Number: 42223_130
N=42222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
  ( 131 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=678551793747462240865698141675319 (prp33)
 r2=62224022707301452482853572488992317799268371175008642178618762222983732884341974062619005483162217 (prp98)
Version: 
Total time: 3.60 hours.
Scaled time: 7.17 units (timescale=1.991).
Factorization parameters were as follows:
name: 42223_130
n: 42222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 100000000000000000000000000
deg: 5
c5: 38
c0: 7
skew: 0.71
type: snfs
lss: 1
rlim: 1090000
alim: 1090000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1090000/1090000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [545000, 945001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 154826 x 155074
Total sieving time: 3.60 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,131,5,0,0,0,0,0,0,0,0,1090000,1090000,26,26,47,47,2.3,2.3,50000
total time: 3.60 hours.
 --------- CPU info (if available) ----------

68626235399316923743747450364261132831376996633226131436890190774686214511799584982281388593507533197922189343149729<116>

13297128789458489611981711367<29>
5160981478476877174528191139543584005394929170028975707947883782299690148268479826942487<88>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2193296238
Step 1 took 3614ms
Step 2 took 2463ms
********** Factor found in step 2: 13297128789458489611981711367
Found probable prime factor of 29 digits: 13297128789458489611981711367
Probable prime cofactor 5160981478476877174528191139543584005394929170028975707947883782299690148268479826942487 has 88 digits

GMP-ECM 6.2.1

8295132067234228334424798079022047587862912027941497489631084915957214581969002401222440515171359965073128137961143855053481772538747<133>

15913952422398244721190280306070085331<38>
1442361694262586816326270806420410498472186067<46>
361385788135949331769346686225100381937997477289411<51>

Number: 42223_135
N=8295132067234228334424798079022047587862912027941497489631084915957214581969002401222440515171359965073128137961143855053481772538747
  ( 133 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=15913952422398244721190280306070085331 (prp38)
 r2=1442361694262586816326270806420410498472186067 (prp46)
 r3=361385788135949331769346686225100381937997477289411 (prp51)
Version: 
Total time: 5.58 hours.
Scaled time: 11.15 units (timescale=1.997).
Factorization parameters were as follows:
name: 42223_135
n: 8295132067234228334424798079022047587862912027941497489631084915957214581969002401222440515171359965073128137961143855053481772538747
m: 1000000000000000000000000000
deg: 5
c5: 38
c0: 7
skew: 0.71
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [660000, 1260001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 183860 x 184108
Total sieving time: 5.58 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,136,5,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,75000
total time: 5.58 hours.
 --------- CPU info (if available) ----------

16229023293389009133139106090876295081397306947333103820777599984556803097659300782781313782997714996228246862748288574754789067327<131>

8594000668119493432759132571049781552594004445247<49>
1888413082581267978490482365718941523363737007376231943020350468156526437976112641<82>

Number: 42223_136
N=16229023293389009133139106090876295081397306947333103820777599984556803097659300782781313782997714996228246862748288574754789067327
  ( 131 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=8594000668119493432759132571049781552594004445247
 r2=1888413082581267978490482365718941523363737007376231943020350468156526437976112641
Version: 
Total time: 4.82 hours.
Scaled time: 12.40 units (timescale=2.575).
Factorization parameters were as follows:
name: 42223_136
n: 16229023293389009133139106090876295081397306947333103820777599984556803097659300782781313782997714996228246862748288574754789067327
m: 2000000000000000000000000000
deg: 5
c5: 95
c0: 56
skew: 0.90
type: snfs
lss: 1
rlim: 1420000
alim: 1420000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1420000/1420000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [710000, 1385001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 222874 x 223122
Total sieving time: 4.82 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1420000,1420000,26,26,48,48,2.3,2.3,75000
total time: 4.82 hours.
 --------- CPU info (if available) ----------

38541657686407517624151652150298002272942905139355928279567042796973174434731732100117433<89>

1208319630248751570624525558000988741<37>
31896906018545036923695174984522863360635051803331813<53>

Thu Dec 18 08:07:13 2008  Msieve v. 1.39
Thu Dec 18 08:07:13 2008  random seeds: ba6ae35c e186a9eb
Thu Dec 18 08:07:13 2008  factoring 38541657686407517624151652150298002272942905139355928279567042796973174434731732100117433 (89 digits)
Thu Dec 18 08:07:14 2008  searching for 15-digit factors
Thu Dec 18 08:07:16 2008  commencing quadratic sieve (89-digit input)
Thu Dec 18 08:07:16 2008  using multiplier of 1
Thu Dec 18 08:07:16 2008  using 32kb Intel Core sieve core
Thu Dec 18 08:07:16 2008  sieve interval: 32 blocks of size 32768
Thu Dec 18 08:07:16 2008  processing polynomials in batches of 7
Thu Dec 18 08:07:16 2008  using a sieve bound of 1556189 (58802 primes)
Thu Dec 18 08:07:16 2008  using large prime bound of 124495120 (26 bits)
Thu Dec 18 08:07:16 2008  using double large prime bound of 372626841652480 (42-49 bits)
Thu Dec 18 08:07:16 2008  using trial factoring cutoff of 49 bits
Thu Dec 18 08:07:16 2008  polynomial 'A' values have 11 factors
Thu Dec 18 09:14:07 2008  59134 relations (15874 full + 43260 combined from 629696 partial), need 58898
Thu Dec 18 09:14:08 2008  begin with 645570 relations
Thu Dec 18 09:14:08 2008  reduce to 144306 relations in 11 passes
Thu Dec 18 09:14:08 2008  attempting to read 144306 relations
Thu Dec 18 09:14:10 2008  recovered 144306 relations
Thu Dec 18 09:14:10 2008  recovered 122188 polynomials
Thu Dec 18 09:14:10 2008  attempting to build 59134 cycles
Thu Dec 18 09:14:10 2008  found 59134 cycles in 5 passes
Thu Dec 18 09:14:10 2008  distribution of cycle lengths:
Thu Dec 18 09:14:10 2008     length 1 : 15874
Thu Dec 18 09:14:10 2008     length 2 : 11011
Thu Dec 18 09:14:10 2008     length 3 : 10357
Thu Dec 18 09:14:10 2008     length 4 : 8156
Thu Dec 18 09:14:10 2008     length 5 : 5506
Thu Dec 18 09:14:10 2008     length 6 : 3538
Thu Dec 18 09:14:10 2008     length 7 : 2140
Thu Dec 18 09:14:10 2008     length 9+: 2552
Thu Dec 18 09:14:10 2008  largest cycle: 17 relations
Thu Dec 18 09:14:11 2008  matrix is 58802 x 59134 (14.2 MB) with weight 3496057 (59.12/col)
Thu Dec 18 09:14:11 2008  sparse part has weight 3496057 (59.12/col)
Thu Dec 18 09:14:12 2008  filtering completed in 3 passes
Thu Dec 18 09:14:12 2008  matrix is 54893 x 54957 (13.3 MB) with weight 3263166 (59.38/col)
Thu Dec 18 09:14:12 2008  sparse part has weight 3263166 (59.38/col)
Thu Dec 18 09:14:12 2008  saving the first 48 matrix rows for later
Thu Dec 18 09:14:12 2008  matrix is 54845 x 54957 (9.1 MB) with weight 2632975 (47.91/col)
Thu Dec 18 09:14:12 2008  sparse part has weight 2067716 (37.62/col)
Thu Dec 18 09:14:12 2008  matrix includes 64 packed rows
Thu Dec 18 09:14:12 2008  using block size 21982 for processor cache size 1024 kB
Thu Dec 18 09:14:12 2008  commencing Lanczos iteration
Thu Dec 18 09:14:12 2008  memory use: 8.6 MB
Thu Dec 18 09:14:31 2008  lanczos halted after 869 iterations (dim = 54843)
Thu Dec 18 09:14:31 2008  recovered 16 nontrivial dependencies
Thu Dec 18 09:14:32 2008  prp37 factor: 1208319630248751570624525558000988741
Thu Dec 18 09:14:32 2008  prp53 factor: 31896906018545036923695174984522863360635051803331813
Thu Dec 18 09:14:32 2008  elapsed time 01:07:19

128641180140645433424296188869626564809934348989303485871305332210769771895490551136053958881539415149800961626674493466889960673037113319<138>

605464278196827737125597251068803<33>

212467002221435818816699426054912524005576609275217237202725667730873122816617802499885558317173191456973<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=855237390
Step 1 took 11861ms
Step 2 took 6523ms
********** Factor found in step 2: 605464278196827737125597251068803
Found probable prime factor of 33 digits: 605464278196827737125597251068803
Composite cofactor has 105 digits

GMP-ECM 6.2.1

212467002221435818816699426054912524005576609275217237202725667730873122816617802499885558317173191456973<105>

108086691733104157882816618677785281<36>
1965709180424130529255869068846906640336734489270747363351530402366733<70>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=519687493
Step 1 took 8384ms
Step 2 took 5062ms
********** Factor found in step 2: 108086691733104157882816618677785281
Found probable prime factor of 36 digits: 108086691733104157882816618677785281
Probable prime cofactor 1965709180424130529255869068846906640336734489270747363351530402366733 has 70 digits

GMP-ECM 6.2.1

198861335484854488895249880702652760839329787448043574884127495853596899656761654046011736682666497923645779445093<114>

4866734418829920193805385751<28>
40861349391788987053960663317374360811603887138536668614277435169890368201323389007843<86>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3725277577
Step 1 took 2220ms
Step 2 took 1784ms
********** Factor found in step 2: 4866734418829920193805385751
Found probable prime factor of 28 digits: 4866734418829920193805385751
Probable prime cofactor 40861349391788987053960663317374360811603887138536668614277435169890368201323389007843 has 86 digits

GMP-ECM 6.2.1

39346719474073836211165386970759767038358231641254866087382141856300037559614084744521490143159896516392312603913225433<119>

13474293956396481663403791718049203306600304054932849<53>
2920132186621567969038207626747820838665582277038474633583932183017<67>

Number: 42223_146
N=39346719474073836211165386970759767038358231641254866087382141856300037559614084744521490143159896516392312603913225433
  ( 119 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=13474293956396481663403791718049203306600304054932849
 r2=2920132186621567969038207626747820838665582277038474633583932183017
Version: 
Total time: 11.92 hours.
Scaled time: 30.69 units (timescale=2.575).
Factorization parameters were as follows:
42223_146
n: 39346719474073836211165386970759767038358231641254866087382141856300037559614084744521490143159896516392312603913225433
m: 200000000000000000000000000000
deg: 5
c5: 95
c0: 56
skew: 0.90
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 332704 x 332952
Total sieving time: 11.92 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,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 11.92 hours.
 --------- CPU info (if available) ----------

7201724105325000015271685446739135051345465751365130548241989191456787699852270086959653138717414921052853<106>

9200186247536074110725736408181370462425062932285921<52>
782780251568680203916999787491470260852006980070718293<54>

Number: 42223_149
N=7201724105325000015271685446739135051345465751365130548241989191456787699852270086959653138717414921052853
  ( 106 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=9200186247536074110725736408181370462425062932285921 (pp52)
 r2=782780251568680203916999787491470260852006980070718293 (pp54)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 32.37 hours.
Scaled time: 15.28 units (timescale=0.472).
Factorization parameters were as follows:
name: 42223_149
n: 7201724105325000015271685446739135051345465751365130548241989191456787699852270086959653138717414921052853
m: 1000000000000000000000000000000
deg: 5
c5: 19
c0: 35
skew: 1.13
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1950001)
Primes: RFBsize:169511, AFBsize:169171, largePrimes:7064924 encountered
Relations: rels:7144749, finalFF:554927
Max relations in full relation-set: 28
Initial matrix: 338747 x 554927 with sparse part having weight 60132314.
Pruned matrix : 271443 x 273200 with weight 27469857.
Total sieving time: 29.50 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 2.48 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 32.37 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

13816087908676731462588855160525165982813315669594685075162160784517590741668791402353425690447665556919582119807424099<119>

15431000559815206035395680817815150310335313<44>
895346212652991183542440571902343530844413019287198941007927920963839486323<75>

Number: 42223_150
N=13816087908676731462588855160525165982813315669594685075162160784517590741668791402353425690447665556919582119807424099
  ( 119 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=15431000559815206035395680817815150310335313
 r2=895346212652991183542440571902343530844413019287198941007927920963839486323
Version: 
Total time: 14.72 hours.
Scaled time: 37.91 units (timescale=2.575).
Factorization parameters were as follows:
name: 42223_150
n: 13816087908676731462588855160525165982813315669594685075162160784517590741668791402353425690447665556919582119807424099
m: 1000000000000000000000000000000
deg: 5
c5: 38
c0: 7
skew: 0.71
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 390910 x 391158
Total sieving time: 14.72 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 14.72 hours.
 --------- CPU info (if available) ----------

1560517825037738459854438489255803864062404112623963858125778119538120217593954522496759798220909008287552424483930190183364432527251<133>

485460562826957331754454944330962706119706627186220853762299653<63>
3214509981924084416777889458865269747634632549732810562486889213808567<70>

Number: 42223_151
N=1560517825037738459854438489255803864062404112623963858125778119538120217593954522496759798220909008287552424483930190183364432527251
  ( 133 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=485460562826957331754454944330962706119706627186220853762299653
 r2=3214509981924084416777889458865269747634632549732810562486889213808567
Version: 
Total time: 22.29 hours.
Scaled time: 43.45 units (timescale=1.949).
Factorization parameters were as follows:
name: 42223_151
n: 1560517825037738459854438489255803864062404112623963858125778119538120217593954522496759798220909008287552424483930190183364432527251
m: 2000000000000000000000000000000
deg: 5
c5: 95
c0: 56
skew: 0.90
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 438175 x 438423
Total sieving time: 22.29 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,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 22.29 hours.
 --------- CPU info (if available) ----------

102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298103<153>

56625770021249037961199832163<29>
188621649452113576484103965715195827806438457<45>
9641654643505460294402314031716939370932298867900541134767060848222202356644933<79>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=485009599
Step 1 took 11845ms
Step 2 took 6774ms
********** Factor found in step 2: 56625770021249037961199832163
Found probable prime factor of 29 digits: 56625770021249037961199832163

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1546770427
Step 1 took 11724ms
Step 2 took 6721ms
********** Factor found in step 2: 188621649452113576484103965715195827806438457
Found probable prime factor of 45 digits: 188621649452113576484103965715195827806438457

GMP-ECM 6.2.1

74538082343762785448110691159984807842440835697113941110272639034909759506082539134491568195318220352077422549926135497<119>

321166027817848058882563135857714158627714576218012383011<57>
232085824426105456188431120454237300232428792761128210394472227<63>

Number: 42223_154
N=74538082343762785448110691159984807842440835697113941110272639034909759506082539134491568195318220352077422549926135497
  ( 119 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=321166027817848058882563135857714158627714576218012383011
 r2=232085824426105456188431120454237300232428792761128210394472227
Version: 
Total time: 21.67 hours.
Scaled time: 55.56 units (timescale=2.564).
Factorization parameters were as follows:
name: 42223_154
n: 74538082343762785448110691159984807842440835697113941110272639034909759506082539134491568195318220352077422549926135497
m: 10000000000000000000000000000000
deg: 5
c5: 19
c0: 35
skew: 1.13
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor 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: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 460519 x 460767
Total sieving time: 21.67 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 21.67 hours.
 --------- CPU info (if available) ----------

74169626044307245457734842137601383539242807834421196710911016832770398145945414425833590869483246383194189597678464509309321<125>

3631636673976858283592464277485606931<37>

20423195573440195206551390289801512611298882650218935717368875142211566032360322627320691<89>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2443936897
Step 1 took 9742ms
Step 2 took 5797ms
********** Factor found in step 2: 3631636673976858283592464277485606931
Found probable prime factor of 37 digits: 3631636673976858283592464277485606931
Composite cofactor has 89 digits

GMP-ECM 6.2.1

20423195573440195206551390289801512611298882650218935717368875142211566032360322627320691<89>

1420456107051505106563089043040989<34>
14377913877137253365446313866748979093357534901514687119<56>

Thu Dec 18 19:12:15 2008  Msieve v. 1.39
Thu Dec 18 19:12:15 2008  random seeds: 766c50d8 0938bf95
Thu Dec 18 19:12:15 2008  factoring 20423195573440195206551390289801512611298882650218935717368875142211566032360322627320691 (89 digits)
Thu Dec 18 19:12:16 2008  searching for 15-digit factors
Thu Dec 18 19:12:17 2008  commencing quadratic sieve (89-digit input)
Thu Dec 18 19:12:17 2008  using multiplier of 1
Thu Dec 18 19:12:17 2008  using 32kb Intel Core sieve core
Thu Dec 18 19:12:17 2008  sieve interval: 30 blocks of size 32768
Thu Dec 18 19:12:17 2008  processing polynomials in batches of 7
Thu Dec 18 19:12:17 2008  using a sieve bound of 1546837 (58348 primes)
Thu Dec 18 19:12:17 2008  using large prime bound of 123746960 (26 bits)
Thu Dec 18 19:12:17 2008  using double large prime bound of 368605688486800 (42-49 bits)
Thu Dec 18 19:12:17 2008  using trial factoring cutoff of 49 bits
Thu Dec 18 19:12:17 2008  polynomial 'A' values have 11 factors
Thu Dec 18 20:18:08 2008  58635 relations (15460 full + 43175 combined from 627841 partial), need 58444
Thu Dec 18 20:18:09 2008  begin with 643301 relations
Thu Dec 18 20:18:09 2008  reduce to 144114 relations in 9 passes
Thu Dec 18 20:18:09 2008  attempting to read 144114 relations
Thu Dec 18 20:18:11 2008  recovered 144114 relations
Thu Dec 18 20:18:11 2008  recovered 123018 polynomials
Thu Dec 18 20:18:11 2008  attempting to build 58635 cycles
Thu Dec 18 20:18:11 2008  found 58635 cycles in 5 passes
Thu Dec 18 20:18:11 2008  distribution of cycle lengths:
Thu Dec 18 20:18:11 2008     length 1 : 15460
Thu Dec 18 20:18:11 2008     length 2 : 11059
Thu Dec 18 20:18:11 2008     length 3 : 10232
Thu Dec 18 20:18:11 2008     length 4 : 7813
Thu Dec 18 20:18:12 2008     length 5 : 5624
Thu Dec 18 20:18:12 2008     length 6 : 3705
Thu Dec 18 20:18:12 2008     length 7 : 2187
Thu Dec 18 20:18:12 2008     length 9+: 2555
Thu Dec 18 20:18:12 2008  largest cycle: 18 relations
Thu Dec 18 20:18:12 2008  matrix is 58348 x 58635 (14.3 MB) with weight 3505595 (59.79/col)
Thu Dec 18 20:18:12 2008  sparse part has weight 3505595 (59.79/col)
Thu Dec 18 20:18:13 2008  filtering completed in 3 passes
Thu Dec 18 20:18:13 2008  matrix is 54671 x 54735 (13.4 MB) with weight 3293020 (60.16/col)
Thu Dec 18 20:18:13 2008  sparse part has weight 3293020 (60.16/col)
Thu Dec 18 20:18:13 2008  saving the first 48 matrix rows for later
Thu Dec 18 20:18:13 2008  matrix is 54623 x 54735 (9.1 MB) with weight 2631716 (48.08/col)
Thu Dec 18 20:18:13 2008  sparse part has weight 2059013 (37.62/col)
Thu Dec 18 20:18:13 2008  matrix includes 64 packed rows
Thu Dec 18 20:18:13 2008  using block size 21894 for processor cache size 1024 kB
Thu Dec 18 20:18:13 2008  commencing Lanczos iteration
Thu Dec 18 20:18:13 2008  memory use: 8.6 MB
Thu Dec 18 20:18:32 2008  lanczos halted after 865 iterations (dim = 54621)
Thu Dec 18 20:18:32 2008  recovered 16 nontrivial dependencies
Thu Dec 18 20:18:33 2008  prp34 factor: 1420456107051505106563089043040989
Thu Dec 18 20:18:33 2008  prp56 factor: 14377913877137253365446313866748979093357534901514687119
Thu Dec 18 20:18:33 2008  elapsed time 01:06:18

25638720420055904175047718597666401571261026682120717702745767511977789529191792514452212244210202584659272309033290926661594350071497583<137>

3151311867708119352908892784260206809733<40>
8135888003589561713984004929583919997606982433878122227315798705604256568191678963555861658276451<97>

Number: 42223_156
N=25638720420055904175047718597666401571261026682120717702745767511977789529191792514452212244210202584659272309033290926661594350071497583
  ( 137 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=3151311867708119352908892784260206809733
 r2=8135888003589561713984004929583919997606982433878122227315798705604256568191678963555861658276451
Version: 
Total time: 17.75 hours.
Scaled time: 42.36 units (timescale=2.387).
Factorization parameters were as follows:
n: 25638720420055904175047718597666401571261026682120717702745767511977789529191792514452212244210202584659272309033290926661594350071497583
m: 10000000000000000000000000000000
deg: 5
c5: 380
c0: 7
skew: 0.45
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8115178
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 565574 x 565822
Total sieving time: 16.58 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 0.68 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 17.75 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

GGNFS-0.77.1-20050930-nocona / Msieve v1.39

Core 2 Quad Q6700

2650651153382021609782297835534071330417617064613109562572805714245854869873954562258912814503247047662892976471983314848529237379761580904151059214151687<154>

174202237292790959315768467382894756765173949951<48>
15215942083033820802184377816467863773879005591771502744651031164528244378458407456255021493967981424428537<107>

SNFS difficulty: 159 digits.
Divisors found:
 r1=174202237292790959315768467382894756765173949951 (pp48)
 r2=15215942083033820802184377816467863773879005591771502744651031164528244378458407456255021493967981424428537 (pp107)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
n: 2650651153382021609782297835534071330417617064613109562572805714245854869873954562258912814503247047662892976471983314848529237379761580904151059214151687
m: 20000000000000000000000000000000
deg: 5
c5: 475
c0: 28
skew: 0.57
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1550000, 2850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 616516 x 616764
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,52,52,2.4,2.4,100000
total time: 20.00 hours.

Msieve-1.39

Opteron-2.2GHz; Linux x86_64

3935875857674073259892366744726611131660458011927081245662043080032693008432327787653104908465235028172227775906183483719689864556473<133>

261684502017364426401172993314582377543873715761538550838501<60>
15040538615515346545319103996178595611693408558594037216409591162891195973<74>

I've used Greg Childer's x64 binaries that is about 30% faster.

Number: 42223_158
N=3935875857674073259892366744726611131660458011927081245662043080032693008432327787653104908465235028172227775906183483719689864556473
  ( 133 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=261684502017364426401172993314582377543873715761538550838501
 r2=15040538615515346545319103996178595611693408558594037216409591162891195973
Version: 
Total time: 16.42 hours.
Scaled time: 39.20 units (timescale=2.387).
Factorization parameters were as follows:
n: 3935875857674073259892366744726611131660458011927081245662043080032693008432327787653104908465235028172227775906183483719689864556473
m: 100000000000000000000000000000000
deg: 5
c5: 19
c0: 350
skew: 1.79
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9164673
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 657541 x 657789
Total sieving time: 14.77 hours.
Total relation processing time: 0.62 hours.
Matrix solve time: 0.95 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 16.42 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: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

6048992976898055544701500924282843318487253300729386621852067578882185467974673849952876192480058429399<103>

515054520953638018081451448555001699<36>
11744374101790571418852539848321630821275916011828441771173016482301<68>

Number: 42223_161
N=6048992976898055544701500924282843318487253300729386621852067578882185467974673849952876192480058429399
  ( 103 digits)
Divisors found:
 r1=515054520953638018081451448555001699 (pp36)
 r2=11744374101790571418852539848321630821275916011828441771173016482301 (pp68)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.947).
Factorization parameters were as follows:
name: 42223_161
n: 6048992976898055544701500924282843318487253300729386621852067578882185467974673849952876192480058429399
skew: 9508.02
# norm 1.32e+14
c5: 65640
c4: 494004046
c3: -12223958194410
c2: -80219580147807645
c1: 377628040081781466140
c0: -5661552501923811834276
# alpha -5.67
Y1: 148027261
Y0: -39165430004865054515
# Murphy_E 2.38e-09
# M 1376237156667498328491122275652318259924145043912891828309343895588198824682229544879829222474450612280
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 251057 x 251305
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

4222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<163>

22666112659648690795351599407939<32>

186279062741041885017985574573968873226228250750405652759785192197613040280790635024373857044630449303253807700550767095880568892357<132>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4290004477
Step 1 took 4562ms
Step 2 took 2074ms
********** Factor found in step 2: 22666112659648690795351599407939
Found probable prime factor of 32 digits: 22666112659648690795351599407939
Composite cofactor has 132 digits

GMP-ECM 6.2.1

186279062741041885017985574573968873226228250750405652759785192197613040280790635024373857044630449303253807700550767095880568892357<132>

5160396681170916091071232604105399<34>
36097818491499062140649356899516517790791368456473008648453082759802006328144553713905393610559843<98>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1554662117
Step 1 took 9808ms
Step 2 took 5990ms
********** Factor found in step 2: 5160396681170916091071232604105399
Found probable prime factor of 34 digits: 5160396681170916091071232604105399
Probable prime cofactor 36097818491499062140649356899516517790791368456473008648453082759802006328144553713905393610559843 has 98 digits

GMP-ECM 6.2.1

550693966040263429011385368743932567229561333040762065414742311845372078018818878240783308760457027037896690634940762601889<123>

425438812577715228012820656931311881<36>
1294414025611891599260150096076852317064818033104359921919372175404128601450000975774169<88>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1663009270
Step 1 took 10333ms
Step 2 took 5828ms
********** Factor found in step 2: 425438812577715228012820656931311881
Found probable prime factor of 36 digits: 425438812577715228012820656931311881
Probable prime cofactor 1294414025611891599260150096076852317064818033104359921919372175404128601450000975774169 has 88 digits

GMP-ECM 6.2.1

1204708865770021054615557951951723014686056920324982297118240921405162844773742860832148665618930386587825784814043462037757627047<130>

44517847976265306807164707134605905018604880543571240978940213<62>
27061255665644746692439217262915386433661197680520042446537611351019<68>

Number: 42223_168
N=1204708865770021054615557951951723014686056920324982297118240921405162844773742860832148665618930386587825784814043462037757627047
  ( 130 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=44517847976265306807164707134605905018604880543571240978940213
 r2=27061255665644746692439217262915386433661197680520042446537611351019
Version: 
Total time: 39.74 hours.
Scaled time: 95.03 units (timescale=2.391).
Factorization parameters were as follows:
n: 1204708865770021054615557951951723014686056920324982297118240921405162844773742860832148665618930386587825784814043462037757627047
m: 10000000000000000000000000000000000
deg: 5
c5: 19
c0: 350
skew: 1.79
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11347850
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 962055 x 962303
Total sieving time: 35.98 hours.
Total relation processing time: 1.72 hours.
Matrix solve time: 1.93 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 39.74 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673789)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5344.75 BogoMIPS (lpj=2672379)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672345)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

1654828058268818266826261750512835223969607670110340280285501032823035481764827422126230743258275115337701206453136677726673505147628725557203557147602078050851<160>

153476075151060773153342076445236124223591<42>
1917702948548351014972144075788906674953668710503672193<55>
5622518013204771026946571224850334036846250412736550122129247077<64>

SNFS difficulty: 171 digits.
Divisors found:
 r1=153476075151060773153342076445236124223591 (pp42)
 r2=1917702948548351014972144075788906674953668710503672193 (pp55)
 r3=5622518013204771026946571224850334036846250412736550122129247077 (pp64)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.950).
Factorization parameters were as follows:
n: 1654828058268818266826261750512835223969607670110340280285501032823035481764827422126230743258275115337701206453136677726673505147628725557203557147602078050851
m: 10000000000000000000000000000000000
deg: 5
c5: 38
c0: 7
skew: 0.71
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5550001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 874715 x 874963
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,200000
total time: 55.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

41837006591663461235927111640844026853850013045076211304504192075447949205941708983003467427545353905243739343635300347839129420240392632308489<143>

285363589713686627829614824355979700193124823879301804952325229472389<69>
146609476820920689064294557447277071619075499849640544967825163687138174901<75>

N = 41837006591663461235927111640844026853850013045076211304504192075447949205941708983003467427545353905243739343635300347839129420240392632308489 (143 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=285363589713686627829614824355979700193124823879301804952325229472389 (pp69)
r2=146609476820920689064294557447277071619075499849640544967825163687138174901 (pp75)
Version: Msieve v. 1.48
Total time: 32.37 hours.
Factorization parameters were as follows:
name: (38*10^173+7)/9
n: 41837006591663461235927111640844026853850013045076211304504192075447949205941708983003467427545353905243739343635300347839129420240392632308489
Y0: 10000000000000000000000000000000000
Y1: -1
c0: 7
c1: 0
c2: 0
c3: 0
c4: 0
c5: 38000
skew: 0.18
type: snfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20505539
Relations: 2204428 relations
Pruned matrix : 1262570 x 1262795
Polynomial selection time: 0.00 hours.
Total sieving time: 30.26 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.91 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 32.37 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

219711262731574161436822345634088191846852738586706362387773168822784829772319352092075279830861029861497144123730718438025005178658072157488419913193<150>

147397108847397970920483886655207869637959409318437954662622262645241833<72>
1490607681857884459930956537623480445723175145432745553314219947117054140945921<79>

N = 219711262731574161436822345634088191846852738586706362387773168822784829772319352092075279830861029861497144123730718438025005178658072157488419913193 (150 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=147397108847397970920483886655207869637959409318437954662622262645241833 (pp72)
r2=1490607681857884459930956537623480445723175145432745553314219947117054140945921 (pp79)
Version: Msieve v. 1.48
Total time: 33.74 hours.
Factorization parameters were as follows:
name: (38*10^175+7)/9
n: 219711262731574161436822345634088191846852738586706362387773168822784829772319352092075279830861029861497144123730718438025005178658072157488419913193
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 7
c1: 0
c2: 0
c3: 0
c4: 0
c5: 38
skew: 0.71
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20341030
Relations: 2561758 relations
Pruned matrix : 1438775 x 1439000
Polynomial selection time: 0.00 hours.
Total sieving time: 30.80 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.74 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 33.74 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

2314912356916613883327421948142119141676381494036354884919891460449975026418777621695516050021994919183346826486393062510039<124>

2471951484413682939511067832881908139<37>

936471598052290722011809167208477610429304981302335238497256676307528852425786219092101<87>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1864500341
Step 1 took 3285ms
Step 2 took 2524ms
********** Factor found in step 2: 2471951484413682939511067832881908139
Found probable prime factor of 37 digits: 2471951484413682939511067832881908139
Composite cofactor has 87 digits

GMP-ECM 6.2.1

936471598052290722011809167208477610429304981302335238497256676307528852425786219092101<87>

4366496618391640554655712516621488728265579<43>
214467496461094603037698726459970575067475919<45>

Thu Dec 18 17:51:17 2008  Msieve v. 1.39
Thu Dec 18 17:51:17 2008  random seeds: 480a71e4 42ef3d6d
Thu Dec 18 17:51:17 2008  factoring 936471598052290722011809167208477610429304981302335238497256676307528852425786219092101 (87 digits)
Thu Dec 18 17:51:18 2008  searching for 15-digit factors
Thu Dec 18 17:51:20 2008  commencing quadratic sieve (87-digit input)
Thu Dec 18 17:51:20 2008  using multiplier of 1
Thu Dec 18 17:51:20 2008  using 32kb Intel Core sieve core
Thu Dec 18 17:51:20 2008  sieve interval: 22 blocks of size 32768
Thu Dec 18 17:51:20 2008  processing polynomials in batches of 10
Thu Dec 18 17:51:20 2008  using a sieve bound of 1493299 (57000 primes)
Thu Dec 18 17:51:20 2008  using large prime bound of 119463920 (26 bits)
Thu Dec 18 17:51:20 2008  using double large prime bound of 345960105556960 (42-49 bits)
Thu Dec 18 17:51:20 2008  using trial factoring cutoff of 49 bits
Thu Dec 18 17:51:20 2008  polynomial 'A' values have 11 factors
Thu Dec 18 18:41:03 2008  57227 relations (15776 full + 41451 combined from 604798 partial), need 57096
Thu Dec 18 18:41:04 2008  begin with 620574 relations
Thu Dec 18 18:41:05 2008  reduce to 138470 relations in 12 passes
Thu Dec 18 18:41:05 2008  attempting to read 138470 relations
Thu Dec 18 18:41:06 2008  recovered 138470 relations
Thu Dec 18 18:41:06 2008  recovered 117589 polynomials
Thu Dec 18 18:41:07 2008  attempting to build 57227 cycles
Thu Dec 18 18:41:07 2008  found 57227 cycles in 5 passes
Thu Dec 18 18:41:07 2008  distribution of cycle lengths:
Thu Dec 18 18:41:07 2008     length 1 : 15776
Thu Dec 18 18:41:07 2008     length 2 : 11054
Thu Dec 18 18:41:07 2008     length 3 : 9940
Thu Dec 18 18:41:07 2008     length 4 : 7535
Thu Dec 18 18:41:07 2008     length 5 : 5176
Thu Dec 18 18:41:07 2008     length 6 : 3384
Thu Dec 18 18:41:07 2008     length 7 : 2077
Thu Dec 18 18:41:07 2008     length 9+: 2285
Thu Dec 18 18:41:07 2008  largest cycle: 18 relations
Thu Dec 18 18:41:07 2008  matrix is 57000 x 57227 (13.2 MB) with weight 3225637 (56.37/col)
Thu Dec 18 18:41:07 2008  sparse part has weight 3225637 (56.37/col)
Thu Dec 18 18:41:08 2008  filtering completed in 4 passes
Thu Dec 18 18:41:08 2008  matrix is 52801 x 52864 (12.3 MB) with weight 3004794 (56.84/col)
Thu Dec 18 18:41:08 2008  sparse part has weight 3004794 (56.84/col)
Thu Dec 18 18:41:08 2008  saving the first 48 matrix rows for later
Thu Dec 18 18:41:08 2008  matrix is 52753 x 52864 (7.8 MB) with weight 2373010 (44.89/col)
Thu Dec 18 18:41:08 2008  sparse part has weight 1740382 (32.92/col)
Thu Dec 18 18:41:08 2008  matrix includes 64 packed rows
Thu Dec 18 18:41:08 2008  using block size 21145 for processor cache size 1024 kB
Thu Dec 18 18:41:08 2008  commencing Lanczos iteration
Thu Dec 18 18:41:08 2008  memory use: 7.7 MB
Thu Dec 18 18:41:24 2008  lanczos halted after 835 iterations (dim = 52753)
Thu Dec 18 18:41:24 2008  recovered 17 nontrivial dependencies
Thu Dec 18 18:41:25 2008  prp43 factor: 4366496618391640554655712516621488728265579
Thu Dec 18 18:41:25 2008  prp45 factor: 214467496461094603037698726459970575067475919
Thu Dec 18 18:41:25 2008  elapsed time 00:50:08

250859855161441519946659272902514539969236659867044276764435994428270585361667293816304570270466533314848922953016589758316334277358577756652737343130070834901207428092342833<174>

808020975537356813887688012648849<33>
310462058233838072707345486814826980908540325495516767238876034746810469799572718449241791002063641759970155278075383181344441444526372947617<141>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]

250859855161441519946659272902514539969236659867044276764435994428270585361667293816304570270466533314848922953016589758316334277358577756652737343130070834901207428092342833
=
808020975537356813887688012648849* 310462058233838072707345486814826980908540325495516767238876034746810469799572718449241791002063641759970155278075383181344441444526372947617

1029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298102981029810298103<178>

3831638300420149104517799143979<31>

268765007905380748598617247784989569226788294214434773423165473690567346198193202300914071893455165689330378310000725717652182828907168758369414757<147>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1830987632
Step 1 took 15973ms
Step 2 took 8310ms
********** Factor found in step 2: 3831638300420149104517799143979
Found probable prime factor of 31 digits: 3831638300420149104517799143979
Composite cofactor has 147 digits

GMP-ECM 6.2.1

268765007905380748598617247784989569226788294214434773423165473690567346198193202300914071893455165689330378310000725717652182828907168758369414757<147>

1043417772590061817787402629991463572908207<43>
257581397370900637714769846609273895914896049424732385097695848880673589953407159663689900547410376996651<105>

N=268765007905380748598617247784989569226788294214434773423165473690567346198193202300914071893455165689330378310000725717652182828907168758369414757
  ( 147 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=1043417772590061817787402629991463572908207 (pp43)
 r2=257581397370900637714769846609273895914896049424732385097695848880673589953407159663689900547410376996651 (pp105)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 112.36 hours.
Scaled time: 213.37 units (timescale=1.899).
Factorization parameters were as follows:
n: 268765007905380748598617247784989569226788294214434773423165473690567346198193202300914071893455165689330378310000725717652182828907168758369414757
m: 100000000000000000000000000000000000
deg: 5
c5: 38000
c0: 7
skew: 0.18
# Murphy_E = 8.923e-11
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 9450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1468980 x 1469208
Total sieving time: 109.81 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.13 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time: 112.36 hours.
 --------- CPU info (if available) ----------

168843250809886726803045585235529477234760027528537799683833509362119448674711465976265366652221731810304524037371348976705382131979154673796684297<147>

3707123796162372351494557064707414949191<40>
45545619756392774486920084269468994645870122894119879035784767092641836514161603339798418906198421470123567<107>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=33805809
Step 1 took 46301ms
Step 2 took 18627ms
********** Factor found in step 2: 3707123796162372351494557064707414949191
Found probable prime factor of 40 digits: 3707123796162372351494557064707414949191
Probable prime cofactor 45545619756392774486920084269468994645870122894119879035784767092641836514161603339798418906198421470123567 has 107 digits

GMP-ECM 6.3 [config GMP 5.0.1] [ECM]

C2D, 3 GHz, Mac OS X

34301872478203304811283609321140608477029634604938571622447189042027550501605082135424295235751920184932661923859479848565854184495227299000606702926061209<155>

3123485172589672785907281193076920507754184755729<49>
10981922622595233470760872948816803671561344763603625440740791877616222570497305819159464221348160270042121<107>

N=34301872478203304811283609321140608477029634604938571622447189042027550501605082135424295235751920184932661923859479848565854184495227299000606702926061209
  ( 155 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=3123485172589672785907281193076920507754184755729 (pp49)
 r2=10981922622595233470760872948816803671561344763603625440740791877616222570497305819159464221348160270042121 (pp107)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 107.90 hours.
Scaled time: 207.06 units (timescale=1.919).
Factorization parameters were as follows:
n: 34301872478203304811283609321140608477029634604938571622447189042027550501605082135424295235751920184932661923859479848565854184495227299000606702926061209
m: 1000000000000000000000000000000000000
deg: 5
c5: 38
c0: 7
skew: 0.71
# Murphy_E = 1.01e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 9300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1562583 x 1562810
Total sieving time: 104.81 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.43 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 107.90 hours.
 --------- CPU info (if available) ----------

1693567973110280904018124810650732323774597227505865298898123981387297493600848263749254159141302446777469231810105468007371233779349589847053729638264857<154>

10790949029900373835774765691914444733<38>
156943376195885578248262640171197237449801357691157425891518207953734742790217776554173132543167970445198167894137229<117>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2752717268
Step 1 took 12410ms
Step 2 took 5920ms
********** Factor found in step 2: 10790949029900373835774765691914444733
Found probable prime factor of 38 digits: 10790949029900373835774765691914444733
Probable prime cofactor 156943376195885578248262640171197237449801357691157425891518207953734742790217776554173132543167970445198167894137229 has 117 digits

GMP-ECM 6.3 [config GMP 5.0.1] [ECM]

C2D, 3 GHz, Mac OS X

90214782444997949194218702938591191775228993201573542345469596472969427965991680473194178210366606312588679450643926215003724606259059511282106510996159207659742619<164>

17220926929820735919650444522083<32>

5238671693611155393110256636771215165291040871189770033614443601009113065979421595887797051522376438298628830110390256780678267308393<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2089980357
Step 1 took 13584ms
Step 2 took 7373ms
********** Factor found in step 2: 17220926929820735919650444522083
Found probable prime factor of 32 digits: 17220926929820735919650444522083
Composite cofactor has 133 digits

GMP-ECM 6.2.1

5238671693611155393110256636771215165291040871189770033614443601009113065979421595887797051522376438298628830110390256780678267308393<133>

40161708198664602658135711217531656097<38>
130439464071036298867011859594669416156532973786057966086203589054669975306699874542538586324169<96>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1153791637
Step 1 took 38636ms
********** Factor found in step 1: 40161708198664602658135711217531656097
Found probable prime factor of 38 digits: 40161708198664602658135711217531656097
Probable prime cofactor 130439464071036298867011859594669416156532973786057966086203589054669975306699874542538586324169 has 96 digits

422168300272258328068452531828769077002572840648204570622982760723668704689249764155480010048428424449625784439532383371089440235985697600490487<144>

41656898288675835604765587799328354878239047<44>
10134415129679064728794009489673085331357694016689899580443197781267511849208571098384855168478701521<101>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 422168300272258328068452531828769077002572840648204570622982760723668704689249764155480010048428424449625784439532383371089440235985697600490487 (144 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3759622047
Step 1 took 24516ms
Step 2 took 8609ms
********** Factor found in step 2: 41656898288675835604765587799328354878239047
Found probable prime factor of 44 digits: 41656898288675835604765587799328354878239047
Probable prime cofactor 10134415129679064728794009489673085331357694016689899580443197781267511849208571098384855168478701521 has 101 digits

Core i7-4930K

21210745703330553447810403908867564694832911983134208751311295304904172227939224004741960626008040713971050987362760849498014459831301389338976935698743858572654195384325699044863<179>

4517407346651943696614538983948377<34>

4695336080119231002572034438003134103984773018851208689382346363956946707607387905336610628296559396105847033548036718431918869359857064027844119<145>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2813434907
Step 1 took 5311ms
Step 2 took 3484ms
********** Factor found in step 2: 4517407346651943696614538983948377
Found probable prime factor of 34 digits: 4517407346651943696614538983948377

GMP-ECM 6.2.1

4695336080119231002572034438003134103984773018851208689382346363956946707607387905336610628296559396105847033548036718431918869359857064027844119<145>

4673703008619003417230110507105396601400979<43>
1004628679113827511984091193954801159959666277904760616601932003250311828219816656298134076424954343661<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3790706618
Step 1 took 16508ms
Step 2 took 7002ms
********** Factor found in step 2: 4673703008619003417230110507105396601400979
Found probable prime factor of 43 digits: 4673703008619003417230110507105396601400979

42524643977349224589225134891943913456977326645461121919072984651236354752610612658812388918557624962658409500393734821499720238963<131>

2112867846035455435964412103433579935078239000018205727<55>
20126504389350071353994694806817894554071878261514699763854653110085619239469<77>

Number: 42223_190
N = 42524643977349224589225134891943913456977326645461121919072984651236354752610612658812388918557624962658409500393734821499720238963 (131 digits)
Divisors found:
r1=2112867846035455435964412103433579935078239000018205727 (pp55)
r2=20126504389350071353994694806817894554071878261514699763854653110085619239469 (pp77)
Version: Msieve v. 1.47
Total time: 149.42 hours.
Factorization parameters were as follows:
# Murphy_E = 6.428813e-11, selected by Jeff Gilchrist
n: 42524643977349224589225134891943913456977326645461121919072984651236354752610612658812388918557624962658409500393734821499720238963
Y0: -16190832240823114621644785
Y1: 313765477465793
c0: 125490559162631200018297884052656
c1: 2440600836575047514429479768
c2: -1726795866658892253752
c3: -62146842803229002
c4: 18797252737
c5: 38220
skew: 448486.33
type: gnfs
# selected mechanically
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [5100000, 11400000)
Relations: 19658042
Relations in full relation-set: 2851290 relations
Pruned matrix : 1661544 x 1661769
Polynomial selection time: 0.00 hours.
Total sieving time: 145.83 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.69 hours.
time per square root: 0.73 hours.
Prototype def-par.txt line would be: gnfs,130,5,65,2000,1e-05,0.28,250,20,50000,3600,10200000,10200000,28,28,54,54,2.6,2.6,100000
total time: 149.42 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

469568322215948719002168814944045396529247534117781995779278537091311694074901734292627423816812575945916033685698392124776238848676392954768078310887577480777017553942419151148918411<183>

24849673288852145591771819050717125319914173<44>
848989344008938409186044857824890833013724389305312445815434182645181<69>
22257473684341868607406993470278838130506101631681501690320442979544947<71>

Number: n
N=469568322215948719002168814944045396529247534117781995779278537091311694074901734292627423816812575945916033685698392124776238848676392954768078310887577480777017553942419151148918411
  ( 183 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Mar 12 08:06:12 2012  prp44 factor: 24849673288852145591771819050717125319914173
Mon Mar 12 08:06:12 2012  prp69 factor: 848989344008938409186044857824890833013724389305312445815434182645181
Mon Mar 12 08:06:12 2012  prp71 factor: 22257473684341868607406993470278838130506101631681501690320442979544947
Mon Mar 12 08:06:12 2012  elapsed time 04:31:02 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.661).
Factorization parameters were as follows:
name: KA_42223_192
n: 469568322215948719002168814944045396529247534117781995779278537091311694074901734292627423816812575945916033685698392124776238848676392954768078310887577480777017553942419151148918411
m: 100000000000000000000000000000000000000
#  c183, diff: 193.58
skew: 0.28
deg: 5
c5: 3800
c0: 7
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
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, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11201451 hash collisions in 78949481 relations (71594612 unique)
Msieve: matrix is 1512821 x 1513051 (424.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

372629288959114385462150856843102670990414208557492132705224973210230194293502232074034289038171247451604523865959550433993515578619496695521296253838089707911007862288818047<174>

171855683181406585849817412442839163399<39>

2168268642973978193872266541078973033575329376883703030434245582763425418220353684907672228966668778257908830125470697917761777961982153<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1849504456
Step 1 took 23835ms
Step 2 took 9129ms
********** Factor found in step 2: 171855683181406585849817412442839163399
Found probable prime factor of 39 digits: 171855683181406585849817412442839163399

2168268642973978193872266541078973033575329376883703030434245582763425418220353684907672228966668778257908830125470697917761777961982153<136>

2108137091026957460087982780417856216085345240438811607994223841<64>
1028523549157672787868186216371065333986985485379300664987775434030899433<73>

Number: 42223_194
N = 2168268642973978193872266541078973033575329376883703030434245582763425418220353684907672228966668778257908830125470697917761777961982153 (136 digits)
Divisors found:
r1=2108137091026957460087982780417856216085345240438811607994223841 (pp64)
r2=1028523549157672787868186216371065333986985485379300664987775434030899433 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 97.85 hours.
Factorization parameters were as follows:
# Murphy_E = 4.137e-11, selected by Erik Branger
# expecting poly E from 3.94e-011 to > 4.53e-011
n: 2168268642973978193872266541078973033575329376883703030434245582763425418220353684907672228966668778257908830125470697917761777961982153
Y0: -267468054552962819310308314
Y1: 222680851788143
c0: 1331468293167723896248603821230325
c1: 5596932274696609356730280929
c2: 859449058152167845641
c3: -7344982600575393
c4: -7369865326
c5: 1584
skew: 1220752.9
type: gnfs
# selected mechanically
rlim: 13600000
alim: 13600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 13600000/13600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22261681
Relations: 3457312 relations
Pruned matrix : 2047103 x 2047327
Polynomial selection time: 0.00 hours.
Total sieving time: 94.69 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.70 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,13600000,13600000,28,28,55,55,2.6,2.6,100000
total time: 97.85 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

3141894809777394436709889366748388345305153588953995935812519398195109292949438487158309055801611887989312492742626010767019587985907965214786504826654748626068304334524971399<175>

42889893988079578415478220866263<32>
73254898010487591881808968625718488656302684170273081444857108882017914768115541121202852664845950871593721116081377554264061422226124415883473<143>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=400399179
Step 1 took 16303ms
Step 2 took 8309ms
********** Factor found in step 2: 42889893988079578415478220866263
Found probable prime factor of 32 digits: 42889893988079578415478220866263
Probable prime cofactor has 143 digits

GMP-ECM 6.2.1

165660950188516956663341703231368397910366993039699894232086226932573823039893086227963127328333794800312111038135623760164437132355659425363836170202029045044079924293<168>

3775039415003259043318615387717978251876958758503<49>
120191928846936216129343279417042517317637502696726481<54>
365109684549021766190884007433131370066699588867432443355180424451<66>

165660950188516956663341703231368397910366993039699894232086226932573823039893086227963127328333794800312111038135623760164437132355659425363836170202029045044079924293=3775039415003259043318615387717978251876958758503*120191928846936216129343279417042517317637502696726481*365109684549021766190884007433131370066699588867432443355180424451

cado polynomial
n: 165660950188516956663341703231368397910366993039699894232086226932573823039893086227963127328333794800312111038135623760164437132355659425363836170202029045044079924293
skew: 0.45
type: snfs
c0: 7
c5: 380
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 380*x^5+7
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 13700000
tasks.lim1 = 13700000
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: 365109684549021766190884007433131370066699588867432443355180424451 3775039415003259043318615387717978251876958758503 120191928846936216129343279417042517317637502696726481
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.78/2.37341
Info:Generate Free Relations: Total cpu/real time for freerel: 102.43/26.5679
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30970706
Info:Lattice Sieving: Average J: 1893.44 for 4450499 special-q, max bucket fill -bkmult 1.0,1s:1.145420
Info:Lattice Sieving: Total time: 1.38634e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.53/158.005
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 157.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 533.57/541.146
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 473.2999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 468.67/545.019
Info:Filtering - Merging: Merged matrix has 2839901 rows and total weight 486027375 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 399.4/115.585
Info:Filtering - Merging: Total cpu/real time for replay: 109.07/96.7331
Info:Linear Algebra: Total cpu/real time for bwc: 144026/36881.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 23576.8, iteration CPU time 0.25, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (89088 iterations)
Info:Linear Algebra: Lingen CPU time 586.95, WCT time 169.42
Info:Linear Algebra: Mksol: WCT time 12824.2, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44544 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 97.16/40.9678
Info:Square Root: Total cpu/real time for sqrt: 791.66/251.01
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.66773e+06/134891
Info:root: Cleaning up computation data in /tmp/cado.e6dqb_pi
365109684549021766190884007433131370066699588867432443355180424451 3775039415003259043318615387717978251876958758503 120191928846936216129343279417042517317637502696726481

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)

777573153263760998567628401882545528954368733374258236136689175363208512379783098015142214037241661551053816247186412932269285860446081440556578678125639451606302435031716799672600777573153263761<195>

27947028349698781437164987540699<32>

27823106755181784284339819113194093003006848773401981584784546486000626197936927250194729311161601729645412862762131763250467738959280736054302716529829833142273539<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4094683216
Step 1 took 18445ms
********** Factor found in step 1: 27947028349698781437164987540699
Found probable prime factor of 32 digits: 27947028349698781437164987540699
Composite cofactor has 164 digits

GMP-ECM 6.2.1

27823106755181784284339819113194093003006848773401981584784546486000626197936927250194729311161601729645412862762131763250467738959280736054302716529829833142273539<164>

677085103839665730670440385755367108627908072075553<51>
41092480985625578314463875580880580406598440839902160564939198236111526356017785489081062023055524319958232972963<113>

27823106755181784284339819113194093003006848773401981584784546486000626197936927250194729311161601729645412862762131763250467738959280736054302716529829833142273539=677085103839665730670440385755367108627908072075553*41092480985625578314463875580880580406598440839902160564939198236111526356017785489081062023055524319958232972963

cado polynomial
n: 27823106755181784284339819113194093003006848773401981584784546486000626197936927250194729311161601729645412862762131763250467738959280736054302716529829833142273539
skew: 1.11
type: snfs
c0: 35
c6: 19
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 19*x^6+35
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14700000
tasks.lim1 = 14700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 41092480985625578314463875580880580406598440839902160564939198236111526356017785489081062023055524319958232972963 677085103839665730670440385755367108627908072075553
Info:Square Root: Total cpu/real time for sqrt: 795.66/243.936
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 124.98/144.883
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 144.3s
Info:Linear Algebra: Total cpu/real time for bwc: 133635/34161.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 85685.51, WCT time 21834.61, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (86528 iterations)
Info:Linear Algebra: Lingen CPU time 595.77, WCT time 151.12
Info:Linear Algebra: Mksol: CPU time 46335.69,  WCT time 11825.09, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43520 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.39/3.73275
Info:Filtering - Merging: Merged matrix has 2761856 rows and total weight 470378841 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 761.28/210.762
Info:Filtering - Merging: Total cpu/real time for replay: 108.18/94.6683
Info:Filtering - Singleton removal: Total cpu/real time for purge: 439.14/516.278
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29332150
Info:Lattice Sieving: Average J: 1893.23 for 4156365 special-q, max bucket fill -bkmult 1.0,1s:1.203460
Info:Lattice Sieving: Total time: 913483s
Info:Quadratic Characters: Total cpu/real time for characters: 95.35/40.8732
Info:Square Root: Total cpu/real time for sqrt: 795.66/243.936
Info:Generate Free Relations: Total cpu/real time for freerel: 185.43/48.0974
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 556.68/568.613
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 467.5999999999999s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.84738e+06/188876
41092480985625578314463875580880580406598440839902160564939198236111526356017785489081062023055524319958232972963 677085103839665730670440385755367108627908072075553

cado-nfs-3.0.0

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

3845677551250907178516918162045245853412557525029170898831740094091865988514516297816442431573896551911398112173233957361939251858589104356097913939<148>

208213637843800294912384840780163151540313947692322824051<57>
18469863891124626866752009118905955271735460085827377879823505564393226875513588090324803489<92>

3845677551250907178516918162045245853412557525029170898831740094091865988514516297816442431573896551911398112173233957361939251858589104356097913939=208213637843800294912384840780163151540313947692322824051*18469863891124626866752009118905955271735460085827377879823505564393226875513588090324803489

cado polynomial
n: 3845677551250907178516918162045245853412557525029170898831740094091865988514516297816442431573896551911398112173233957361939251858589104356097913939
skew: 0.75
type: snfs
c0: 7
c6: 38
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 38*x^6+7
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14800000
tasks.lim1 = 14800000
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: 18469863891124626866752009118905955271735460085827377879823505564393226875513588090324803489 208213637843800294912384840780163151540313947692322824051
Info:Square Root: Total cpu/real time for sqrt: 2852.11/831.909
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29407003
Info:Lattice Sieving: Average J: 1894.22 for 4158616 special-q, max bucket fill -bkmult 1.0,1s:1.212930
Info:Lattice Sieving: Total time: 1.15967e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 181.06/46.4271
Info:Generate Factor Base: Total cpu/real time for makefb: 9.66/3.82701
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 125.39/152.187
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 151.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 558.76/564.567
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 460.1s
Info:Filtering - Merging: Merged matrix has 2767647 rows and total weight 472266823 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 770.53/212.906
Info:Filtering - Merging: Total cpu/real time for replay: 109.33/95.892
Info:Linear Algebra: Total cpu/real time for bwc: 135418/34623.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 86830.35, WCT time 22133.34, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (86528 iterations)
Info:Linear Algebra: Lingen CPU time 591.45, WCT time 150.02
Info:Linear Algebra: Mksol: CPU time 46975.64,  WCT time 11986.24, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43520 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 95.14/41.2535
Info:Square Root: Total cpu/real time for sqrt: 2852.11/831.909
Info:Filtering - Singleton removal: Total cpu/real time for purge: 440.62/493.796
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.1017e+06/89397.8
Info:root: Cleaning up computation data in /tmp/cado.wnksmn5o
18469863891124626866752009118905955271735460085827377879823505564393226875513588090324803489 208213637843800294912384840780163151540313947692322824051

cado-nfs-3.0.0

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

14201171901538745280771210119540653495541271073612762789111571599042593035515606229485079373100735243730359888190821727352990543719701800117263523628971586063485879254560607<173>

125981495579147151319792223468759736688374486451932043<54>
112724268244751393386904366830674570592706418797312773014832353723213521255781567980132908137774949274372834237060183549<120>

14201171901538745280771210119540653495541271073612762789111571599042593035515606229485079373100735243730359888190821727352990543719701800117263523628971586063485879254560607=125981495579147151319792223468759736688374486451932043*112724268244751393386904366830674570592706418797312773014832353723213521255781567980132908137774949274372834237060183549

cado polynomial
n: 14201171901538745280771210119540653495541271073612762789111571599042593035515606229485079373100735243730359888190821727352990543719701800117263523628971586063485879254560607
skew: 1.13
type: snfs
c0: 35
c5: 19
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 19*x^5+35
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15800000
tasks.lim1 = 15800000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 125981495579147151319792223468759736688374486451932043 112724268244751393386904366830674570592706418797312773014832353723213521255781567980132908137774949274372834237060183549
Info:Square Root: Total cpu/real time for sqrt: 1845.61/571.323
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 207.16/254.677
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 254.1s
Info:Linear Algebra: Total cpu/real time for bwc: 241314/61657
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 157170.43, WCT time 40021.27, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (111104 iterations)
Info:Linear Algebra: Lingen CPU time 776.17, WCT time 196.9
Info:Linear Algebra: Mksol: CPU time 81930.13,  WCT time 20906.91, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55808 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48696303
Info:Lattice Sieving: Average J: 1893.65 for 4630106 special-q, max bucket fill -bkmult 1.0,1s:1.139450
Info:Lattice Sieving: Total time: 1.22391e+06s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.69/3.06236
Info:Filtering - Merging: Merged matrix has 3554834 rows and total weight 607794987 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1028.68/284.008
Info:Filtering - Merging: Total cpu/real time for replay: 143.58/126.296
Info:Filtering - Singleton removal: Total cpu/real time for purge: 641.97/755.193
Info:Square Root: Total cpu/real time for sqrt: 1845.61/571.323
Info:Quadratic Characters: Total cpu/real time for characters: 128.42/53.9318
Info:Generate Free Relations: Total cpu/real time for freerel: 232.35/60.911
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 889.57/886.981
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 721.3s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.54582e+06/163665
125981495579147151319792223468759736688374486451932043 112724268244751393386904366830674570592706418797312773014832353723213521255781567980132908137774949274372834237060183549

cado-nfs-3.0.0

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

1280582795468083139083220883487654159756382950787384095953840783191723516133846948003686318904575450384964913017286114273529794432965625314851538959279242634519840981867120573369276032348361<190>

10656887562826493075439836325914620069254067474109<50>
120164803083315834032937585489856412324647104860981688102230547776361910459558310021491386342097735087485513547276544597000010774885894168829<141>

N=1280582795468083139083220883487654159756382950787384095953840783191723516133846948003686318904575450384964913017286114273529794432965625314851538959279242634519840981867120573369276032348361
  ( 190 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=10656887562826493075439836325914620069254067474109 (pp50)
 r2=120164803083315834032937585489856412324647104860981688102230547776361910459558310021491386342097735087485513547276544597000010774885894168829 (pp141)
Version: Msieve v. 1.46
Total time:
Scaled time: 375.68 units (timescale=1.848).
Factorization parameters were as follows:
n: 1280582795468083139083220883487654159756382950787384095953840783191723516133846948003686318904575450384964913017286114273529794432965625314851538959279242634519840981867120573369276032348361
m: 10000000000000000000000000000000000000000
deg: 5
c5: 38
c0: 7
skew: 0.71
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 1600000
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 17600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2858426 x 2858653
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time:

250143418931920448647935869769949475120323354429526598199024726267905619437545309082290952615272581578922391480524947941810014322143297554922986196041138407614775964633398672179818316457<186>

228580534657494457008650226308600069719672594816863311<54>
1094333860522007535592853908787956862814866413678690990529656702154690313326352646703032490072129533614134772535840217702320178244487<133>

Number: n
N=250143418931920448647935869769949475120323354429526598199024726267905619437545309082290952615272581578922391480524947941810014322143297554922986196041138407614775964633398672179818316457  ( 186 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Aug 29 23:16:50 2021  p54 factor: 228580534657494457008650226308600069719672594816863311
Sun Aug 29 23:16:50 2021  p133 factor: 1094333860522007535592853908787956862814866413678690990529656702154690313326352646703032490072129533614134772535840217702320178244487
Sun Aug 29 23:16:50 2021  elapsed time 01:45:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 38x10^201+7 = 42(200)3
#
n: 250143418931920448647935869769949475120323354429526598199024726267905619437545309082290952615272581578922391480524947941810014322143297554922986196041138407614775964633398672179818316457
m: 10000000000000000000000000000000000000000
deg: 5
c5: 380
c0: 7
skew: 0.45
# Murphy_E = 1.165e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10707919 hash collisions in 68768336 relations (60687053 unique)
Msieve: matrix is 2126956 x 2127183 (728.7 MB)

Sieving start time : 2021/08/29 07:51:29
Sieving end time  : 2021/08/29 21:30:14

Total sieving time: 13hrs 38min 45secs.

Total relation processing time: 1hrs 25min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] 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, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

17419595547194137214233863325851761304280468791263625109170148622086387495058781743132951668300214320151724815018015907990309661875582813929122662763<149>

75200180674725503094139812329482222741895741<44>
231643001265405171200346781381818628650143331808428872913160629105681283978154879667429112946347269919943<105>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3460282527
Step 1 took 178879ms
Step 2 took 59799ms
********** Factor found in step 2: 75200180674725503094139812329482222741895741
Found probable prime factor of 44 digits: 75200180674725503094139812329482222741895741

131548544203725105838838689479725606041765870090996590456971507735053872183236983454357012774381787071775654170110699434787356804887153230108836013133768304246419163324341749<174>

433876950030158488626058596996048127614940120706925730813926660776921<69>
303193207646963630897007813811478635701337338565853608568808377545072504619519567988686755431046093350269<105>

Number: n
N=131548544203725105838838689479725606041765870090996590456971507735053872183236983454357012774381787071775654170110699434787356804887153230108836013133768304246419163324341749  ( 174 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue Dec 21 02:57:22 2021  p69 factor: 433876950030158488626058596996048127614940120706925730813926660776921
Tue Dec 21 02:57:22 2021  p105 factor: 303193207646963630897007813811478635701337338565853608568808377545072504619519567988686755431046093350269
Tue Dec 21 02:57:22 2021  elapsed time 02:06:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 38x10^203+7 = 42(202)3
#
n: 131548544203725105838838689479725606041765870090996590456971507735053872183236983454357012774381787071775654170110699434787356804887153230108836013133768304246419163324341749
m: 10000000000000000000000000000000000000000
deg: 5
c5: 38000
c0: 7
skew: 0.18
# Murphy_E = 8.376e-12
type: snfs
lss: 1
rlim: 18000000
alim: 18000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18000000/18000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 10606021 hash collisions in 65536999 relations (57181747 unique)
Msieve: matrix is 2322539 x 2322765 (804.5 MB)

Sieving start time : 2021/12/20 08:27:02
Sieving end time  : 2021/12/21 00:49:33

Total sieving time: 16hrs 22min 31secs.

Total relation processing time: 1hrs 42min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 0sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18000000,18000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118230] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153572] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.15 BogoMIPS (lpj=12798304)
[    0.152049] smpboot: Total of 16 processors activated (102386.43 BogoMIPS)

8562261447947143078883868198324024878321009238581334283477239390962378576825684238260275708155815740654400218926392866996921376040480410247269697713446837<154>

13201873487935308621178027854133421221165514938332754118511436168364882950100442229084737022155481240146272019513482934487063613917603021650621868494869081224068600834963288298322053<182>

122963814729276561510677113729<30>

107363890076127111965230176891505549912257191760673673941126714770582542276161593865261632843248140294879700281469937435170214542124172887669060214775557<153>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1066773495
Step 1 took 22749ms
Step 2 took 8947ms
********** Factor found in step 2: 122963814729276561510677113729
Found probable prime factor of 30 digits: 122963814729276561510677113729

107363890076127111965230176891505549912257191760673673941126714770582542276161593865261632843248140294879700281469937435170214542124172887669060214775557<153>

62354987936386264036033459188986796395485253<44>
1171577745311965644682822167360863696476388036391516307<55>
1469656790877714771690343811967032264998168184210728667<55>

#
# N = 38x10^206+7 = 42(205)3
#
n: 107363890076127111965230176891505549912257191760673673941126714770582542276161593865261632843248140294879700281469937435170214542124172887669060214775557
m: 100000000000000000000000000000000000000000
deg: 5
c5: 380
c0: 7
skew: 0.45
# Murphy_E = 6.358e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
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 107363890076127111965230176891505549912257191760673673941126714770582542276161593865261632843248140294879700281469937435170214542124172887669060214775557 (153 digits)
Using B1=48300000, B2=240495495256, polynomial Dickson(12), sigma=1:2527252061
Step 1 took 98991ms
Step 2 took 32863ms
********** Factor found in step 2: 62354987936386264036033459188986796395485253
Found prime factor of 44 digits: 62354987936386264036033459188986796395485253
Composite cofactor 1721817189438932071198816690721463565771775401691317287716111723940911239526597541642536641048108209482872769 has 109 digits



CADO

STA:Thu 21 Oct 2021 18:02:31 AEDT (1,721,817,189,438,932,071,198,816,690,721,463,565,771,775,401,691,317,287,716,111,723,940,911,239,526,597,541,642,536,641,048,108,209,482,872,769 - C109)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1721817189438932071198816690721463565771775401691317287716111723940911239526597541642536641048108209482872769 2>&1 | tee -a log55

Debug:root: Looking for parameter file for c109 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.2duey2qp
Info:Database: Opened connection to database /tmp/cado.2duey2qp/c110.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1721817189438932071198816690721463565771775401691317287716111723940911239526597541642
536641048108209482872769
Debug:root: Root parameter dictionary:
N = 1721817189438932071198816690721463565771775401691317287716111723940911239526597541642536641048108209482872769
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
...
n: 1721817189438932071198816690721463565771775401691317287716111723940911239526597541642536641048108209482872769
skew: 13602.415
c0: -10447183702429755984070719
c1: -1165718923309115625625
c2: 234053450093723275
c3: -4013016884805
c4: -129640266
c5: 27000
Y0: -580289288543925721910
Y1: 3326915595338059
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 6.22e-09
# f(x) = 27000*x^5-129640266*x^4-4013016884805*x^3+234053450093723275*x^2-1165718923309115625625*x-10447183702429755984070719
# g(x) = 3326915595338059*x-580289288543925721910
...
Info:Square Root: Factors: 1171577745311965644682822167360863696476388036391516307 1469656790877714771690343811967032264998168184210728667
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 231.18/32.5085
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28189/31.440/38.284/42.840/0.985
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28189/31.080/34.585/38.900/1.102
Info:Polynomial Selection (size optimized): Total time: 996.19
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 263.12
Info:Polynomial Selection (root optimized): Rootsieve time: 262.2
Info:Generate Factor Base: Total cpu/real time for makefb: 4.36/0.417098
Info:Generate Free Relations: Total cpu/real time for freerel: 36/2.39015
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3534857
Info:Lattice Sieving: Average J: 1895.5 for 71221 special-q, max bucket fill: 0.742564
Info:Lattice Sieving: Total CPU time: 18395s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 8.36/8.14733
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 39.5/12.3216
Info:Filtering - Singleton removal: Total cpu/real time for purge: 18.73/9.36174
Info:Filtering - Merging: Total cpu/real time for merge: 123.32/102.904
Info:Filtering - Merging: Total cpu/real time for replay: 11.95/9.16072
Info:Linear Algebra: Total cpu/real time for bwc: 2419/0.000328541
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 98.54
Info:Linear Algebra: Lingen CPU time 65.96, WCT time 6.8
Info:Linear Algebra: Mksol: WCT time 55.27
Info:Quadratic Characters: Total cpu/real time for characters: 11.87/2.70742
Info:Square Root: Total cpu/real time for sqrt: 231.18/32.5085
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 22558.6/1737.67
Info:root: Cleaning up computation data in /tmp/cado.2duey2qp
1171577745311965644682822167360863696476388036391516307 1469656790877714771690343811967032264998168184210728667

END:Thu 21 Oct 2021 18:31:30 AEDT (1,721,817,189,438,932,071,198,816,690,721,463,565,771,775,401,691,317,287,716,111,723,940,911,239,526,597,541,642,536,641,048,108,209,482,872,769 - C109)

77281784679277303333003728365894241718649344822609192977350805114697418864171978787769272502208477082193035003484333187434006632036935962116966236388842842175650150554362491457<176>

16497890880901068514576713611531587433233043708151905209940173<62>
4684343304073083375263251858591628777518845131466338333578983896765360185057425582124587076161332954924914055786309<115>

09/22/24 18:33:40 v1.34.5 @ TRIGKEY,
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, ****************************
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, Starting factorization of 38000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, using pretesting plan: normal
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, ****************************
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, div: found prime factor = 3
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, div: found prime factor = 103
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, div: found prime factor = 113
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C204
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C204
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C204
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C204
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
09/22/24 18:33:40 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 62.77
09/22/24 18:33:41 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C204 input, B1=2K, B2=gmp-ecm default
09/22/24 18:33:41 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
09/22/24 18:33:41 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 62.77
09/22/24 18:33:43 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C204 input, B1=11K, B2=gmp-ecm default
09/22/24 18:33:43 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
09/22/24 18:33:43 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 62.77
09/22/24 18:34:12 v1.34.5 @ TRIGKEY, Finished 214 curves using Lenstra ECM method on C204 input, B1=50K, B2=gmp-ecm default
09/22/24 18:34:12 v1.34.5 @ TRIGKEY, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C204
09/22/24 18:34:13 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 25.33
09/22/24 18:34:13 v1.34.5 @ TRIGKEY, scheduled 430 curves at B1=250000 toward target pretesting depth of 62.77
09/22/24 18:34:43 v1.34.5 @ TRIGKEY, prp28 = 4694056106168645855884215401 (curve 48 stg1 B1=250000 sigma=130129758 thread=0)
09/22/24 18:34:43 v1.34.5 @ TRIGKEY, Finished 48 curves using Lenstra ECM method on C204 input, B1=250K, B2=gmp-ecm default
09/22/24 18:34:43 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 25.89
09/22/24 18:34:43 v1.34.5 @ TRIGKEY, scheduled 382 curves at B1=250000 toward target pretesting depth of 54.15
09/22/24 18:35:32 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c209: 38000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
09/22/24 18:35:32 v1.34.5 @ TRIGKEY, nfs: input divides 38*10^207 + 7
09/22/24 18:35:32 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 77281784679277303333003728365894241718649344822609192977350805114697418864171978787769272502208477082193035003484333187434006632036935962116966236388842842175650150554362491457
09/22/24 18:35:32 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c176: 77281784679277303333003728365894241718649344822609192977350805114697418864171978787769272502208477082193035003484333187434006632036935962116966236388842842175650150554362491457
09/22/24 18:35:32 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 77281784679277303333003728365894241718649344822609192977350805114697418864171978787769272502208477082193035003484333187434006632036935962116966236388842842175650150554362491457
# 38*10^207+7, difficulty: 210.58, anorm: 3.26e+032, rnorm: 1.88e+047
# scaled difficulty: 213.04, suggest sieving rational side
# size = 1.160e-014, alpha = 0.500, combined = 5.304e-012, rroots = 1
type: snfs
size: 210
skew: 0.2838
c5: 3800
c0: 7
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 77281784679277303333003728365894241718649344822609192977350805114697418864171978787769272502208477082193035003484333187434006632036935962116966236388842842175650150554362491457
# 38*10^207+7, difficulty: 209.48, anorm: 2.31e+032, rnorm: 2.65e+047
# scaled difficulty: 211.99, suggest sieving rational side
# size = 1.074e-014, alpha = 0.731, combined = 5.036e-012, rroots = 1
type: snfs
size: 209
skew: 0.5677
c5: 475
c0: 28
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 77281784679277303333003728365894241718649344822609192977350805114697418864171978787769272502208477082193035003484333187434006632036935962116966236388842842175650150554362491457
# 38*10^207+7, difficulty: 211.58, anorm: 1.03e+039, rnorm: 2.05e+040
# scaled difficulty: 211.58, suggest sieving algebraic side
# size = 1.404e-010, alpha = -1.022, combined = 4.277e-012, rroots = 0
type: snfs
size: 211
skew: 0.2385
c6: 38000
c0: 7
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
09/22/24 18:35:34 v1.34.5 @ TRIGKEY, test: fb generation took 1.6466 seconds
09/22/24 18:35:34 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 21400000-21402000
skew: 0.2838
c5: 3800
c0: 7
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/22/24 18:38:30 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/22/24 18:38:32 v1.34.5 @ TRIGKEY, test: fb generation took 1.5807 seconds
09/22/24 18:38:32 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.5677
c5: 475
c0: 28
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/22/24 18:41:24 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/22/24 18:41:26 v1.34.5 @ TRIGKEY, test: fb generation took 2.4958 seconds
09/22/24 18:41:26 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the algebraic side over range 22600000-22602000
skew: 0.2385
c6: 38000
c0: 7
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/22/24 18:43:28 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
09/22/24 18:43:28 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 77281784679277303333003728365894241718649344822609192977350805114697418864171978787769272502208477082193035003484333187434006632036935962116966236388842842175650150554362491457
# 38*10^207+7, difficulty: 209.48, anorm: 2.31e+032, rnorm: 2.65e+047
# scaled difficulty: 211.99, suggest sieving rational side
# size = 1.074e-014, alpha = 0.731, combined = 5.036e-012, rroots = 1
type: snfs
size: 209
skew: 0.5677
c5: 475
c0: 28
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
09/24/24 13:15:50 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/24/24 13:17:46 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22090621
09/24/24 15:47:47 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/24/24 15:49:48 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23229237
09/24/24 18:36:21 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/24/24 18:38:27 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 24485224
09/24/24 21:24:20 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/24/24 21:26:32 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 25715748
09/25/24 00:29:14 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/25/24 00:31:31 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 27058383
09/25/24 03:48:41 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
09/25/24 03:53:01 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
09/25/24 08:34:08 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
09/25/24 08:41:53 v1.34.5 @ TRIGKEY, prp62 = 16497890880901068514576713611531587433233043708151905209940173
09/25/24 08:41:54 v1.34.5 @ TRIGKEY, prp115 = 4684343304073083375263251858591628777518845131466338333578983896765360185057425582124587076161332954924914055786309
09/25/24 08:41:54 v1.34.5 @ TRIGKEY, NFS elapsed time = 223581.8995 seconds.
09/25/24 08:41:54 v1.34.5 @ TRIGKEY,
09/25/24 08:41:54 v1.34.5 @ TRIGKEY,
09/22/24 18:43:28 v1.34.5 @ TRIGKEY, test: test sieving took 476.29 seconds

YAFU

227228642814349731817094390019193865672442911135556581592565663137538922026559712142681213667318507188254140217246629896379506668132876186520825714645287422067825166260220692921826190430219155591<195>

329946831145187819139809325518128563217<39>
20551727356173775277368050089480932963937<41>
33509718766830522102001070348224980056329433694872125596198223433399566646039546723293078046615013067799498101007479<116>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3891510910
Step 1 took 26885ms
Step 2 took 9974ms
********** Factor found in step 2: 20551727356173775277368050089480932963937
Found probable prime factor of 41 digits: 20551727356173775277368050089480932963937

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1774009001
Step 1 took 17596ms
Step 2 took 7314ms
********** Factor found in step 2: 329946831145187819139809325518128563217
Found probable prime factor of 39 digits: 329946831145187819139809325518128563217

566913195915639898354539007417640973076968188883040822339491903558093617986637313399302653719393312876156465068843376213912555743984882609048393250157447<153>

1300736357254546744985035700957771<34>
26860391112523574729930054211775484443<38>
16226130125035903105351002097219832608026610046696976128809984492539507348617237999<83>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4212979082
Step 1 took 16429ms
Step 2 took 7313ms
********** Factor found in step 2: 26860391112523574729930054211775484443
Found probable prime factor of 38 digits: 26860391112523574729930054211775484443

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3496171435
Step 1 took 11730ms
Step 2 took 5489ms
********** Factor found in step 2: 1300736357254546744985035700957771
Found probable prime factor of 34 digits: 1300736357254546744985035700957771

504492080820797980644529835809097289137891477471999110812436125873701406124857809162698370778288550014534310227016382957474550722942038666559515571381763150539688490202029778689<177>

15422669912625426477405267778727450918103248482866799593437070407958446800889489873674993643545136385782455287478822566337185063186031492938790483656314152201<158>

4417311585384668368127758567127<31>
3491415449083017175060893566207621097440141715781000882948261663015148160983779710882423606109639158448595786489872452932261663<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2201178379
Step 1 took 19449ms
Step 2 took 7926ms
********** Factor found in step 2: 4417311585384668368127758567127
Found probable prime factor of 31 digits: 4417311585384668368127758567127

133570542746766879088524808878677842168021264718583987632332176557773619800405973413292244170175252714496405437519573923476641832381455444453087419450077960416237157862869144147778245446341<189>

233470054045411090490844063853246503495230778435635960670800259200192407812157260887308385242614838880500927207670721141413972624345908576726831<144>

1285607006904202057112397495171021627888858277<46>
181602972597059189556763191184528419167918558245395403919823040074201007786214830158523962174376003<99>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1368795078
Step 1 took 16548ms
Step 2 took 7012ms
********** Factor found in step 2: 1285607006904202057112397495171021627888858277
Found probable prime factor of 46 digits: 1285607006904202057112397495171021627888858277

4312640380608072844443683286115374385945678262995409744630453379313542928284568456951697600504670261714784348511100635957305794032113016819569748168144060876517984171101967902668480475596056373962086103264083191<211>

83965574090589030757038969547197967460020181211673<50>
51362006719030330668973958896330446851668156294936529880751593948444239528137013977002901255580008797288445381003704988417588778560782010025649497669222446010767<161>

GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 4312640380608072844443683286115374385945678262995409744630453379313542928284568456951697600504670261714784348511100635957305794032113016819569748168144060876517984171101967902668480475596056373962086103264083191 (211 digits)
Using B1=400280000, B2=4767896883766, polynomial Dickson(30), sigma=2144671956
Step 1 took 2188299ms
Step 2 took 458748ms
********** Factor found in step 2: 83965574090589030757038969547197967460020181211673
Found probable prime factor of 50 digits: 83965574090589030757038969547197967460020181211673
Probable prime cofactor 51362006719030330668973958896330446851668156294936529880751593948444239528137013977002901255580008797288445381003704988417588778560782010025649497669222446010767 has 161 digits

6433518617175292665918879186467029704369162152953889025242672164923202788983861888016220649510667222530398061571315150973511917923043745377815176979767<151>

18576488530464458798526627772759040207<38>
4732520270271518986009529865598704760589004050327<49>
73180008481242170532743994143702708506073713605217652256543620303<65>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3984351321
Step 1 took 79573ms
Step 2 took 29926ms
********** Factor found in step 2: 18576488530464458798526627772759040207
Found probable prime factor of 38 digits: 18576488530464458798526627772759040207
Composite cofactor 346325873516120248524003320814662402321530773402741719440634254179338049618419600661615658377540745928018990989081 has 114 digits

N=346325873516120248524003320814662402321530773402741719440634254179338049618419600661615658377540745928018990989081
  ( 114 digits)
Divisors found:
 r1=4732520270271518986009529865598704760589004050327 (pp49)
 r2=73180008481242170532743994143702708506073713605217652256543620303 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 39.47 hours.
Scaled time: 24.16 units (timescale=0.612).
Factorization parameters were as follows:
n: 346325873516120248524003320814662402321530773402741719440634254179338049618419600661615658377540745928018990989081
skew: 53395.29
c0: -132939571311933813058176225
c1: -153004002916871906676603
c2: -3557843513704185695
c3: 41203466301821
c4: -297087422
c5: 9360
Y0: -8196753988384704202168
Y1: 246068484511
rlim: 4240000
alim: 4240000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 4240000/4240000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2120000, 3320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 406517 x 406747
Total sieving time: 38.52 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4240000,4240000,27,27,54,54,2.5,2.5,100000
total time: 39.47 hours.
 --------- CPU info (if available) ----------

122823314167389744544188930275149942774229206534978585433852962063845185824584733959519239297428807658205674720884157098997876256293397141728829472753039545684719421947377794270525207976976683530163<198>

8147797508851710303459615296051509122100892856882569<52>
15074419072633475969461814939397908632394954987750834046545978601484270828995364068453181939626916465936992877807932357166560224762152291240923227<146>

Number: 42223_221
N = 122823314167389744544188930275149942774229206534978585433852962063845185824584733959519239297428807658205674720884157098997876256293397141728829472753039545684719421947377794270525207976976683530163 (198 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=8147797508851710303459615296051509122100892856882569 (pp52)
r2=15074419072633475969461814939397908632394954987750834046545978601484270828995364068453181939626916465936992877807932357166560224762152291240923227 (pp146)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 49.32 hours.
Factorization parameters were as follows:
n: 122823314167389744544188930275149942774229206534978585433852962063845185824584733959519239297428807658205674720884157098997876256293397141728829472753039545684719421947377794270525207976976683530163
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 380
c0: 7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8315062 relations
Pruned matrix : 7151617 x 7151842
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 41.71 hours.
Total relation processing time: 0.42 hours.
Matrix solve time: 6.93 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 49.32 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1649605433784019866560721512629113566398425570267591157281974827102443425710875968620780541738179518277488374992713334186214078074944243971892848022425703856338102097873727843390186341694344381<193>

4931576028385994585955053777595474169501204031364665763603688789769922117328427423638162243297990608316356529003792760783555387983519966024425653205598534167106106400668238266149392848921344045139<196>

276467849909059342023236688057889741498338504289060597191943214401301148097046966172018733449931956345458492738769560496738291268181329161538394572756624231942538917918684914568177917804763725378225398891<204>

5194297408495470926624535854604654164985634335613963753796564470337086337767434880473625667382327281085828735023574691680357038841199619405016932579692211117809347612446618994001890147550674394657<196>

85982207558598067311880229962042611229429<41>

60411305501262981419300815610434302378229448705062418334470729148369698492566182456104768121149991279126371389794361449605786445312926280834358695365921533<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=435928804
Step 1 took 26796ms
Step 2 took 9972ms
********** Factor found in step 2: 85982207558598067311880229962042611229429
Found probable prime factor of 41 digits: 85982207558598067311880229962042611229429

60411305501262981419300815610434302378229448705062418334470729148369698492566182456104768121149991279126371389794361449605786445312926280834358695365921533<155>

11110883901693881773195229601484762391949169800641260484480335043047796827<74>
5437128678129120605148329019242321193326358804853691414350746104958158615909388679<82>

p74 factor: 11110883901693881773195229601484762391949169800641260484480335043047796827
p82 factor: 5437128678129120605148329019242321193326358804853691414350746104958158615909388679 

Complete log at: https://pastebin.com/AhPtzvn3

GGNFS + Msieve

99980800953083949406606673516344167655516511385761384803194920267128415968072887282630298658354229058763096328859679061195355439673391204196108846920446298192578338130961700957055578561027744425438457087259908264068033<218>

205968023793831156769836514278701<33>
485419042779000646907436857805719865389385985656239888947598912519558270337831441714409205035671867655960118524948951837332730070424388315497078195975853953391208414572378446491494040933<186>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1557608388
Step 1 took 30522ms
Step 2 took 11084ms
********** Factor found in step 2: 205968023793831156769836514278701
Found probable prime factor of 33 digits: 205968023793831156769836514278701

112206183648699109233174160853529489135405730240452029870636314110320603288107477923440251131383291105035099346847668279067492549300569622090760576344004098058866163216155532111817449627911723372072210578783<207>

238309820153367158726932961845485464420468143<45>

470841627829216045577321519932730609578636971755566313529235056594848820486825838599460014897482548075712285008048048619302195863113657261256120028196691279814481<162>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=577445416
Step 1 took 108183ms
Step 2 took 35052ms
********** Factor found in step 2: 238309820153367158726932961845485464420468143
Found probable prime factor of 45 digits: 238309820153367158726932961845485464420468143

14440150507765912218699657507765263223125063053109381538019999889990263411164277075798101538186963439237104578521024010903816022616066851035664545341238450801096865457785729431910761974740030325846468495593870015089781381<221>

20338442043531491388662008865719<32>
509159928022122740852681507489354561<36>
3318795810512996678208610051842536719<37>
173589266370897066340443047380844017838528944783109<51>
2420451697503743652250961942592471932186918357443249582794182365129<67>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3774108449
Step 1 took 31442ms
Step 2 took 11401ms
********** Factor found in step 2: 20338442043531491388662008865719
Found probable prime factor of 32 digits: 20338442043531491388662008865719

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4260848352
Step 1 took 23046ms
Step 2 took 9224ms
********** Factor found in step 2: 3318795810512996678208610051842536719
Found probable prime factor of 37 digits: 3318795810512996678208610051842536719

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4006273692
Step 1 took 16457ms
Step 2 took 7290ms
********** Factor found in step 2: 509159928022122740852681507489354561
Found probable prime factor of 36 digits: 509159928022122740852681507489354561
Composite cofactor 420164434455867326669287727980878752359776511091005085425182669835858693604930413641161864797161128700412151549806061 has 117 digits

GNFS:
N=420164434455867326669287727980878752359776511091005085425182669835858693604930413641161864797161128700412151549806061
  ( 117 digits)
Divisors found:
 r1=173589266370897066340443047380844017838528944783109 (pp51)
 r2=2420451697503743652250961942592471932186918357443249582794182365129 (pp67)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 34.20 hours.
Scaled time: 65.77 units (timescale=1.923).
Factorization parameters were as follows:
n: 420164434455867326669287727980878752359776511091005085425182669835858693604930413641161864797161128700412151549806061
skew: 94777.84
c0: 22136340185992530658767563911
c1: -2672072761398532818889645
c2: 21909894641665507025
c3: 156342605686765
c4: 4127575224
c5: 20880
Y0: -28889337840096030500160
Y1: 287800679771
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
type: gnfs
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2350000, 3950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 449156 x 449382
Total sieving time: 33.84 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,116,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4700000,4700000,27,27,54,54,2.5,2.5,100000
total time: 34.20 hours.
 --------- CPU info (if available) ----------

4222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223<235>

11497492349366844565427398861086531842779400022157974997903085698277<68>
367229835334896812364629542089317684392749984018058751333415088888585570714563564277745216045759363934522488820235887697134982807436467899570102702255886847264842566499<168>

Number: n
N=4222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223  ( 235 digits)
SNFS difficulty: 235 digits.
Divisors found:

Fri Nov  6 10:25:08 2020  p68 factor: 11497492349366844565427398861086531842779400022157974997903085698277
Fri Nov  6 10:25:08 2020  p168 factor: 367229835334896812364629542089317684392749984018058751333415088888585570714563564277745216045759363934522488820235887697134982807436467899570102702255886847264842566499
Fri Nov  6 10:25:08 2020  elapsed time 26:44:56 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 38x10^234+7 = 42(233)3
#
n: 4222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222223
m: 1000000000000000000000000000000000000000
deg: 6
c6: 38
c0: 7
skew: 0.75
# Murphy_E = 7.732e-13
type: snfs
lss: 1
rlim: 59000000
alim: 59000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 59000000/59000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved  special-q in [100000, 157500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 22826455 hash collisions in 123173937 relations (102890466 unique)
Msieve: matrix is 7352548 x 7352773 (2591.4 MB)

Sieving start time: 2020/11/01 14:41:07
Sieving end time  : 2020/11/05 07:34:51

Total sieving time: 88hrs 53min 44secs.

Total relation processing time: 25hrs 15min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 45min 59sec.

Prototype def-par.txt line would be:
snfs,235,6,0,0,0,0,0,0,0,0,59000000,59000000,30,30,60,60,2.7,2.7,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118294] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16242460K/16727236K available (14339K kernel code, 2398K rwdata, 4956K rodata, 2716K init, 4988K bss, 484776K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798568)
[    0.152036] smpboot: Total of 16 processors activated (102388.54 BogoMIPS)