979294314485608729379659265652592455768584086435122697907223765060392284274205698203011829<90>

8254078063236444636671476566658758452630059<43>
118643694302743846510055142733530124877331720031<48>

Tue Feb 12 09:14:45 2008  
Tue Feb 12 09:14:45 2008  
Tue Feb 12 09:14:45 2008  Msieve v. 1.33
Tue Feb 12 09:14:45 2008  random seeds: fbd5dde8 054b1945
Tue Feb 12 09:14:45 2008  factoring 979294314485608729379659265652592455768584086435122697907223765060392284274205698203011829 (90 digits)
Tue Feb 12 09:14:46 2008  searching for 15-digit factors
Tue Feb 12 09:14:46 2008  commencing quadratic sieve (90-digit input)
Tue Feb 12 09:14:46 2008  using multiplier of 5
Tue Feb 12 09:14:46 2008  using 64kb Opteron sieve core
Tue Feb 12 09:14:46 2008  sieve interval: 18 blocks of size 65536
Tue Feb 12 09:14:46 2008  processing polynomials in batches of 6
Tue Feb 12 09:14:46 2008  using a sieve bound of 1616231 (61176 primes)
Tue Feb 12 09:14:46 2008  using large prime bound of 135763404 (27 bits)
Tue Feb 12 09:14:46 2008  using double large prime bound of 435520718464356 (42-49 bits)
Tue Feb 12 09:14:46 2008  using trial factoring cutoff of 49 bits
Tue Feb 12 09:14:46 2008  polynomial 'A' values have 12 factors
Tue Feb 12 10:14:53 2008  61405 relations (16554 full + 44851 combined from 665810 partial), need 61272
Tue Feb 12 10:14:53 2008  begin with 682363 relations
Tue Feb 12 10:14:54 2008  reduce to 149843 relations in 12 passes
Tue Feb 12 10:14:54 2008  attempting to read 149843 relations
Tue Feb 12 10:14:55 2008  recovered 149843 relations
Tue Feb 12 10:14:55 2008  recovered 130637 polynomials
Tue Feb 12 10:14:55 2008  attempting to build 61405 cycles
Tue Feb 12 10:14:55 2008  found 61405 cycles in 6 passes
Tue Feb 12 10:14:56 2008  distribution of cycle lengths:
Tue Feb 12 10:14:56 2008     length 1 : 16554
Tue Feb 12 10:14:56 2008     length 2 : 11742
Tue Feb 12 10:14:56 2008     length 3 : 10834
Tue Feb 12 10:14:56 2008     length 4 : 8104
Tue Feb 12 10:14:56 2008     length 5 : 5795
Tue Feb 12 10:14:56 2008     length 6 : 3613
Tue Feb 12 10:14:56 2008     length 7 : 2201
Tue Feb 12 10:14:56 2008     length 9+: 2562
Tue Feb 12 10:14:56 2008  largest cycle: 21 relations
Tue Feb 12 10:14:56 2008  matrix is 61176 x 61405 (15.1 MB) with weight 3715538 (60.51/col)
Tue Feb 12 10:14:56 2008  sparse part has weight 3715538 (60.51/col)
Tue Feb 12 10:14:56 2008  filtering completed in 3 passes
Tue Feb 12 10:14:56 2008  matrix is 57197 x 57261 (14.2 MB) with weight 3488523 (60.92/col)
Tue Feb 12 10:14:56 2008  sparse part has weight 3488523 (60.92/col)
Tue Feb 12 10:14:57 2008  saving the first 48 matrix rows for later
Tue Feb 12 10:14:57 2008  matrix is 57149 x 57261 (9.3 MB) with weight 2781100 (48.57/col)
Tue Feb 12 10:14:57 2008  sparse part has weight 2101395 (36.70/col)
Tue Feb 12 10:14:57 2008  matrix includes 64 packed rows
Tue Feb 12 10:14:57 2008  using block size 22904 for processor cache size 1024 kB
Tue Feb 12 10:14:57 2008  commencing Lanczos iteration
Tue Feb 12 10:14:57 2008  memory use: 8.9 MB
Tue Feb 12 10:15:16 2008  lanczos halted after 905 iterations (dim = 57147)
Tue Feb 12 10:15:16 2008  recovered 16 nontrivial dependencies
Tue Feb 12 10:15:16 2008  prp43 factor: 8254078063236444636671476566658758452630059
Tue Feb 12 10:15:16 2008  prp48 factor: 118643694302743846510055142733530124877331720031
Tue Feb 12 10:15:16 2008  elapsed time 01:00:31

1442442739064094192991689946160235698418043966956744220577720724348973713048047521130677937<91>

25963864742768432702463389177291<32>
55555779286126867906535634003991867240948718030556740625907<59>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 1442442739064094192991689946160235698418043966956744220577720724348973713048047521130677937 (91 digits)
Using B1=926000, B2=871204962, polynomial Dickson(3), sigma=511613662
Step 1 took 6363ms
Step 2 took 2859ms
********** Factor found in step 2: 25963864742768432702463389177291
Found probable prime factor of 32 digits: 25963864742768432702463389177291
Probable prime cofactor 55555779286126867906535634003991867240948718030556740625907 has 59 digits

272418513167786237420151825616352126546278223185501841727497885100290016331092523119390229177397<96>

23364777919548735601339497408589195152559<41>
11659366680299595782072792886752985694167830402696085083<56>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 272418513167786237420151825616352126546278223185501841727497885100290016331092523119390229177397 (96 digits)
Using B1=3256000, B2=4513712759, polynomial Dickson(6), sigma=672611997
Step 1 took 18441ms
Step 2 took 9946ms
********** Factor found in step 2: 23364777919548735601339497408589195152559
Found probable prime factor of 41 digits: 23364777919548735601339497408589195152559
Probable prime cofactor 11659366680299595782072792886752985694167830402696085083 has 56 digits

138023263444626509676497310867663169533598061952620126978892855175577511292498774416158458736878849829560091<108>

89185329511743931743340432259475771218472031894737047<53>
1547600532511926130818633628615142423602309348889997853<55>

Number: 12229_113
N=138023263444626509676497310867663169533598061952620126978892855175577511292498774416158458736878849829560091
  ( 108 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=89185329511743931743340432259475771218472031894737047 (pp53)
 r2=1547600532511926130818633628615142423602309348889997853 (pp55)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.44 hours.
Scaled time: 1.65 units (timescale=0.676).
Factorization parameters were as follows:
name:12229_113
n: 138023263444626509676497310867663169533598061952620126978892855175577511292498774416158458736878849829560091
m: 10000000000000000000000
c5: 11000
c0: 61
skew: 0.35
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63930, largePrimes:2203646 encountered
Relations: rels:2410372, finalFF:336430
Max relations in full relation-set: 28
Initial matrix: 113095 x 336430 with sparse part having weight 29283357.
Pruned matrix : 73057 x 73686 with weight 5021225.
Total sieving time: 2.24 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,114,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.44 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

88830099513937846386916456906499859890706675743487744272679333838857354203561440953421533546687081438627688019<110>

7212822845172862724558959691868961<34>
12315580379654942378938247217218906466558770709724027914022290754605779304179<77>

Number: 12229_115
N=88830099513937846386916456906499859890706675743487744272679333838857354203561440953421533546687081438627688019
  ( 110 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=7212822845172862724558959691868961 (pp34)
 r2=12315580379654942378938247217218906466558770709724027914022290754605779304179 (pp77)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.61 hours.
Scaled time: 1.09 units (timescale=0.675).
Factorization parameters were as follows:
name: 12229_115
n: 88830099513937846386916456906499859890706675743487744272679333838857354203561440953421533546687081438627688019
m: 100000000000000000000000
c5: 11
c0: 61
skew: 1.41
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:64130, largePrimes:1981292 encountered
Relations: rels:1990054, finalFF:180327
Max relations in full relation-set: 28
Initial matrix: 113295 x 180327 with sparse part having weight 13872256.
Pruned matrix : 90740 x 91370 with weight 4669829.
Total sieving time: 1.41 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.61 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

3636773982279863365639680320380286009668622822498700169186485115298743740095729392031758733<91>

263003561317130722985502794515043<33>
13827850710715765070628800684573938236616215726252446506831<59>

GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 3636773982279863365639680320380286009668622822498700169186485115298743740095729392031758733 (91 digits)
Using B1=282000, B2=138275608, polynomial Dickson(3), sigma=2790588809
Step 1 took 1603ms
Step 2 took 1228ms
********** Factor found in step 2: 263003561317130722985502794515043
Found probable prime factor of 33 digits: 263003561317130722985502794515043
Probable prime cofactor 13827850710715765070628800684573938236616215726252446506831 has 59 digits

117130446887612254743317289337618603555793615683610795182304459859203598933750583971206477797268437<99>

297331187884013676219113574010340108544431<42>
393939323086765551889841121296691017236081365848804304827<57>

Tue Feb 12 15:42:39 2008  
Tue Feb 12 15:42:39 2008  
Tue Feb 12 15:42:39 2008  Msieve v. 1.33
Tue Feb 12 15:42:39 2008  random seeds: ac273248 99b8daf8
Tue Feb 12 15:42:39 2008  factoring 117130446887612254743317289337618603555793615683610795182304459859203598933750583971206477797268437 (99 digits)
Tue Feb 12 15:42:40 2008  searching for 15-digit factors
Tue Feb 12 15:42:41 2008  commencing quadratic sieve (99-digit input)
Tue Feb 12 15:42:41 2008  using multiplier of 1
Tue Feb 12 15:42:41 2008  using 64kb Opteron sieve core
Tue Feb 12 15:42:41 2008  sieve interval: 18 blocks of size 65536
Tue Feb 12 15:42:41 2008  processing polynomials in batches of 6
Tue Feb 12 15:42:41 2008  using a sieve bound of 2542919 (92845 primes)
Tue Feb 12 15:42:41 2008  using large prime bound of 381437850 (28 bits)
Tue Feb 12 15:42:41 2008  using double large prime bound of 2796164870269350 (43-52 bits)
Tue Feb 12 15:42:41 2008  using trial factoring cutoff of 52 bits
Tue Feb 12 15:42:41 2008  polynomial 'A' values have 13 factors
Wed Feb 13 00:08:09 2008  93124 relations (21863 full + 71261 combined from 1412845 partial), need 92941
Wed Feb 13 00:08:11 2008  begin with 1434707 relations
Wed Feb 13 00:08:12 2008  reduce to 247553 relations in 11 passes
Wed Feb 13 00:08:12 2008  attempting to read 247553 relations
Wed Feb 13 00:08:16 2008  recovered 247553 relations
Wed Feb 13 00:08:16 2008  recovered 237150 polynomials
Wed Feb 13 00:08:16 2008  attempting to build 93124 cycles
Wed Feb 13 00:08:16 2008  found 93123 cycles in 5 passes
Wed Feb 13 00:08:17 2008  distribution of cycle lengths:
Wed Feb 13 00:08:17 2008     length 1 : 21863
Wed Feb 13 00:08:17 2008     length 2 : 15753
Wed Feb 13 00:08:17 2008     length 3 : 15456
Wed Feb 13 00:08:17 2008     length 4 : 12692
Wed Feb 13 00:08:17 2008     length 5 : 9820
Wed Feb 13 00:08:17 2008     length 6 : 6695
Wed Feb 13 00:08:17 2008     length 7 : 4456
Wed Feb 13 00:08:17 2008     length 9+: 6388
Wed Feb 13 00:08:17 2008  largest cycle: 21 relations
Wed Feb 13 00:08:18 2008  matrix is 92845 x 93123 (25.1 MB) with weight 6203991 (66.62/col)
Wed Feb 13 00:08:18 2008  sparse part has weight 6203991 (66.62/col)
Wed Feb 13 00:08:20 2008  filtering completed in 3 passes
Wed Feb 13 00:08:20 2008  matrix is 89183 x 89247 (24.1 MB) with weight 5972500 (66.92/col)
Wed Feb 13 00:08:20 2008  sparse part has weight 5972500 (66.92/col)
Wed Feb 13 00:08:21 2008  saving the first 48 matrix rows for later
Wed Feb 13 00:08:21 2008  matrix is 89135 x 89247 (14.6 MB) with weight 4655973 (52.17/col)
Wed Feb 13 00:08:21 2008  sparse part has weight 3297383 (36.95/col)
Wed Feb 13 00:08:21 2008  matrix includes 64 packed rows
Wed Feb 13 00:08:21 2008  using block size 21845 for processor cache size 512 kB
Wed Feb 13 00:08:22 2008  commencing Lanczos iteration
Wed Feb 13 00:08:22 2008  memory use: 14.5 MB
Wed Feb 13 00:09:40 2008  lanczos halted after 1411 iterations (dim = 89133)
Wed Feb 13 00:09:40 2008  recovered 15 nontrivial dependencies
Wed Feb 13 00:09:41 2008  prp42 factor: 297331187884013676219113574010340108544431
Wed Feb 13 00:09:41 2008  prp57 factor: 393939323086765551889841121296691017236081365848804304827
Wed Feb 13 00:09:41 2008  elapsed time 08:27:02

129361041132907711288024614211894650311321702762232554416003033514132326809107206608063968053261877<99>

10137105138517733202360425644260487744453606741<47>
12761142295089496212129634669299067935927677632288097<53>

Number: n
N=129361041132907711288024614211894650311321702762232554416003033514132326809107206608063968053261877
  ( 99 digits)
SNFS difficulty: 124 digits.
Divisors found:

Tue Feb 12 11:48:55 2008  prp47 factor: 10137105138517733202360425644260487744453606741
Tue Feb 12 11:48:55 2008  prp53 factor: 12761142295089496212129634669299067935927677632288097
Tue Feb 12 11:48:55 2008  elapsed time 00:09:53 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 2.11 hours.
Scaled time: 1.77 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_2_122_9
n: 129361041132907711288024614211894650311321702762232554416003033514132326809107206608063968053261877
type: snfs
deg: 5
c5: 11000
c0: 61
skew: 0.24
m: 1000000000000000000000000
rlim: 700000
alim: 700000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved  special-q in [100000, 350001)
Primes: RFBsize:56543, AFBsize:56425, largePrimes:2054212 encountered
Relations: rels:2103983, finalFF:203790
Max relations in full relation-set: 28
Initial matrix: 113035 x 203790 with sparse part having weight 17909229.
Pruned matrix : 
Total sieving time: 2.05 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.5,2.5,50000
total time: 2.11 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

7828136829133856296228799392803241434599084869328918335227018985215989728730754311284916914786485163345363<106>

27843156313687337057580167590404968827671407657<47>
281151200709441301666481826274926616585678854755382437224859<60>

Number: n
N=7828136829133856296228799392803241434599084869328918335227018985215989728730754311284916914786485163345363
  ( 106 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=27843156313687337057580167590404968827671407657 (pp47)
 r2=281151200709441301666481826274926616585678854755382437224859 (pp60)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 5.23 hours.
Scaled time: 9.15 units (timescale=1.749).
Factorization parameters were as follows:
name: KA_1_2_130_9
n: 7828136829133856296228799392803241434599084869328918335227018985215989728730754311284916914786485163345363
type: snfs
skew: 0.89
deg: 5
c5: 110
c0: 61
m: 100000000000000000000000000
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 100000)
Primes: RFBsize:114155, AFBsize:114754, largePrimes:4459635 encountered
Relations: rels:3776537, finalFF:262915
Max relations in full relation-set: 28
Initial matrix: 228976 x 262915 with sparse part having weight 9371341.
Pruned matrix : 190800 x 192008 with weight 5465175.
Total sieving time: 4.71 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.38 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.2,2.2,50000
total time: 5.23 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

36667436170978044391788883326051788077030308910121781337982376047659288651432850339323<86>

72262687717088370908767938209<29>
507418660021790002190944224034674082883979558173581771547<57>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 36667436170978044391788883326051788077030308910121781337982376047659288651432850339323 (86 digits)
Using B1=428000, B2=250562999, polynomial Dickson(3), sigma=40110239
Step 1 took 3109ms
Step 2 took 2531ms
********** Factor found in step 2: 72262687717088370908767938209
Found probable prime factor of 29 digits: 72262687717088370908767938209
Probable prime cofactor 507418660021790002190944224034674082883979558173581771547 has 57 digits

2722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027221<133>

44733788040439743106075919870152803049769<41>
60851061573677909538404481871209053051577251320251971454994510548611542213319025413140789709<92>

Number: 12229_135
N=2722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027221
  ( 133 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=44733788040439743106075919870152803049769 (pp41)
 r2=60851061573677909538404481871209053051577251320251971454994510548611542213319025413140789709 (pp92)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 8.34 hours.
Scaled time: 5.63 units (timescale=0.675).
Factorization parameters were as follows:
name: 12229_135
n: 2722098490472655283345706508290027220984904726552833457065082900272209849047265528334570650829002722098490472655283345706508290027221
m: 1000000000000000000000000000
c5: 11
c0: 61
skew: 1.41
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1225001)
Primes: RFBsize:78498, AFBsize:64130, largePrimes:1529572 encountered
Relations: rels:1534791, finalFF:178563
Max relations in full relation-set: 28
Initial matrix: 142695 x 178563 with sparse part having weight 14130024.
Pruned matrix : 131056 x 131833 with weight 8673274.
Total sieving time: 7.84 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.34 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<137>

2608315158960413241863591725014062287<37>
3302992739511359700540576991511204918126169779<46>
4728912045866904847657086157801846080638041217325830291<55>

(ここに素因数分解ソフトウェアの出力結果を貼り付けてください。例：GGNFSのサマリファイル、B1とsigmaを含むGMP-ECMの出Number: 12229_137
N=40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
  ( 137 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=2608315158960413241863591725014062287 (pp37)
 r2=3302992739511359700540576991511204918126169779 (pp46)
 r3=4728912045866904847657086157801846080638041217325830291 (pp55)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 16.64 hours.
Scaled time: 11.25 units (timescale=0.676).
Factorization parameters were as follows:
name: 12229_137
n: 40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
m: 1000000000000000000000000000
c5: 1100
c0: 61
skew: 0.56
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 2200001)
Primes: RFBsize:78498, AFBsize:63770, largePrimes:1670073 encountered
Relations: rels:1697648, finalFF:166498
Max relations in full relation-set: 28
Initial matrix: 142335 x 166498 with sparse part having weight 18460835.
Pruned matrix : 136551 x 137326 with weight 13956169.
Total sieving time: 15.90 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 16.64 hours.
 --------- CPU info (if available) ----------
力など)

Pentium 4 2.4GHz, Windows XP and Cygwin)

1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<145>

611795764847397761032073514896073448555427693<45>
1997761822570127057468384244424067756878599815628503448366355433606752749308486975935581518284356553<100>

Number: n
N=1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
  ( 145 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=611795764847397761032073514896073448555427693 (pp45)
 r2=1997761822570127057468384244424067756878599815628503448366355433606752749308486975935581518284356553 (pp100)
Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 12.91 hours.
Scaled time: 16.84 units (timescale=1.305).
Factorization parameters were as follows:
name: KA_1_2_143_9
n: 1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229
skew: 2.23
deg: 5
c5: 11
c0: 610
m: 100000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1250001)
Primes: RFBsize:203362, AFBsize:202469, largePrimes:6738611 encountered
Relations: rels:6158473, finalFF:455293
Max relations in full relation-set: 28
Initial matrix: 405896 x 455293 with sparse part having weight 25724138.
Pruned matrix : 361436 x 363529 with weight 16686234.
Total sieving time: 10.51 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.88 hours.
Total square root time: 0.30 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 12.91 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743<146>

62188614383244022472029465985668051260768030696286619714122612487056057<71>
655115749800623400328076022959829614473983866531716207736106837240179182399<75>

Number: n
N=40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
  ( 146 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=62188614383244022472029465985668051260768030696286619714122612487056057 (pp71)
 r2=655115749800623400328076022959829614473983866531716207736106837240179182399 (pp75)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.95 hours.
Scaled time: 16.36 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_2_145_9
n: 40740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743
skew: 0.89
deg: 5
c5: 110
c0: 61
m: 100000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:183072, AFBsize:183928, largePrimes:6812996 encountered
Relations: rels:6186693, finalFF:411405
Max relations in full relation-set: 48
Initial matrix: 367067 x 411405 with sparse part having weight 33106963.
Pruned matrix : 334890 x 336789 with weight 21893831.
Total sieving time: 7.91 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.80 hours.
Total square root time: 0.09 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 8.95 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

1029869012805926979679368003629013281236600821095636359928603029848238071504834975227209393<91>

48362529052411789499072324359991381<35>
21294771654514384272421899428463822955945910176527190253<56>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 1029869012805926979679368003629013281236600821095636359928603029848238071504834975227209393 (91 digits)
Using B1=1036000, B2=882940570, polynomial Dickson(3), sigma=2032621643
Step 1 took 8766ms
Step 2 took 5781ms
********** Factor found in step 2: 48362529052411789499072324359991381
Found probable prime factor of 35 digits: 48362529052411789499072324359991381
Probable prime cofactor 21294771654514384272421899428463822955945910176527190253 has 56 digits

738571550226024392405858563209788417084723191785980144725541056915264197135700547827962950228341820185276112038681199<117>

11902378768854297574550472754083771786485974613585009<53>
62052432086827128788540349410927173560773558990532128882788082911<65>

Number: 12229_148
N=738571550226024392405858563209788417084723191785980144725541056915264197135700547827962950228341820185276112038681199
  ( 117 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=11902378768854297574550472754083771786485974613585009 (pp53)
 r2=62052432086827128788540349410927173560773558990532128882788082911 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 49.88 hours.
Scaled time: 33.72 units (timescale=0.676).
Factorization parameters were as follows:
name: 12229_148
n: 738571550226024392405858563209788417084723191785980144725541056915264197135700547827962950228341820185276112038681199
m: 100000000000000000000000000000
c5: 11000
c0: 61
skew: 0.35
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 5750001)
Primes: RFBsize:114155, AFBsize:114409, largePrimes:3268022 encountered
Relations: rels:3436305, finalFF:267502
Max relations in full relation-set: 28
Initial matrix: 228631 x 267502 with sparse part having weight 36416837.
Pruned matrix : 219053 x 220260 with weight 28994291.
Total sieving time: 47.18 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 2.20 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 49.88 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

315819695664656904966982486362331323571633649153028997990238300315819695664656904966982486362331323571633649153028997990238300315819695664656904967<147>

6242261523111451604167188855731<31>
5345904564855449996407866180568566463290283484418398029<55>
9464028719153806681139681352642106781803923220341415398103633<61>

Number: 12229_149
N=315819695664656904966982486362331323571633649153028997990238300315819695664656904966982486362331323571633649153028997990238300315819695664656904967
  ( 147 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=6242261523111451604167188855731 (pp31)
 r2=5345904564855449996407866180568566463290283484418398029 (pp55)
 r3=9464028719153806681139681352642106781803923220341415398103633 (pp61)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 37.15 hours.
Scaled time: 25.08 units (timescale=0.675).
Factorization parameters were as follows:
name: 12229_149
n: 315819695664656904966982486362331323571633649153028997990238300315819695664656904966982486362331323571633649153028997990238300315819695664656904967
m: 1000000000000000000000000000000
c5: 11
c0: 610
skew: 2.23
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2200001)
Primes: RFBsize:176302, AFBsize:175370, largePrimes:5628786 encountered
Relations: rels:5580248, finalFF:504483
Max relations in full relation-set: 28
Initial matrix: 351737 x 504483 with sparse part having weight 45930839.
Pruned matrix : 290346 x 292168 with weight 24671675.
Total sieving time: 33.54 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 3.22 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 37.15 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

8151027532125232953778580806805926102268082591328572421015894830608242951223091720643534080488498064269911620158916872675205886792927801<136>

298230907234615127467511105889531439850968018155959379903529<60>
27331263575954269106179281929739251896488872337195589729335803802039679866769<77>

Number: 12229_157
N=8151027532125232953778580806805926102268082591328572421015894830608242951223091720643534080488498064269911620158916872675205886792927801
  ( 136 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=298230907234615127467511105889531439850968018155959379903529 (pp60)
 r2=27331263575954269106179281929739251896488872337195589729335803802039679866769 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 59.82 hours.
Scaled time: 119.89 units (timescale=2.004).
Factorization parameters were as follows:
name: 12229_157
n: 8151027532125232953778580806805926102268082591328572421015894830608242951223091720643534080488498064269911620158916872675205886792927801
m: 10000000000000000000000000000000
c5: 1100
c0: 61
skew: 0.56
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3900001)
Primes: RFBsize:283146, AFBsize:282319, largePrimes:5908492 encountered
Relations: rels:6075893, finalFF:766526
Max relations in full relation-set: 28
Initial matrix: 565532 x 766526 with sparse part having weight 52202300.
Pruned matrix : 420115 x 423006 with weight 36980807.
Total sieving time: 56.81 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 2.56 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 59.82 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

320087257170379743745512038306524681451620506378742376663804041998523402739301653903245691152522955108248039967344338259723<123>

11920843112330238846091327134150343<35>
5533180785858157565411447744926232573<37>
4852734739010638529320321809660405214270996767425057<52>

Number: 12229_158
N=320087257170379743745512038306524681451620506378742376663804041998523402739301653903245691152522955108248039967344338259723
  ( 123 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=11920843112330238846091327134150343 (pp35)
 r2=5533180785858157565411447744926232573 (pp37)
 r3=4852734739010638529320321809660405214270996767425057 (pp52)
Version: GGNFS-0.77.1-20060513-k8
Total time: 65.85 hours.
Scaled time: 131.77 units (timescale=2.001).
Factorization parameters were as follows:
name: 12229_158
n: 320087257170379743745512038306524681451620506378742376663804041998523402739301653903245691152522955108248039967344338259723
m: 10000000000000000000000000000000
c5: 11000
c0: 61
skew: 0.35
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 4100001)
Primes: RFBsize:283146, AFBsize:284229, largePrimes:5875710 encountered
Relations: rels:6004080, finalFF:729809
Max relations in full relation-set: 28
Initial matrix: 567442 x 729809 with sparse part having weight 53653069.
Pruned matrix : 449842 x 452743 with weight 37603921.
Total sieving time: 62.66 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 2.73 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 65.85 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

5519872912466055561740774566337694615801555978605628157615996657600425616726036850684518620876301945888435820875954338105940635838887577012847<142>

1483611984731557267694074530155063<34>
3720563711585825353249049668598930117813079072610125563407773914202785970215359546760420442923601907083314569<109>

GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 5519872912466055561740774566337694615801555978605628157615996657600425616726036850684518620876301945888435820875954338105940635838887577012847 (142 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1537280711
Step 1 took 7123ms
Step 2 took 4507ms
********** Factor found in step 2: 1483611984731557267694074530155063
Found probable prime factor of 34 digits: 1483611984731557267694074530155063
Probable prime cofactor 3720563711585825353249049668598930117813079072610125563407773914202785970215359546760420442923601907083314569 has 109 digits

Core 2 Quad Q6600

37076370572108520285117694169011671267321814898181595809391309168633542846173451775619238671177620592167679409414133382357732851260970228149682256009783901419<158>

84487268400846963130771961910946989225423105211073<50>
404346314135854308052527269390940411387810076224120869<54>
1085306631461643435651060404463146659487393443172166287<55>

Number: n
N=37076370572108520285117694169011671267321814898181595809391309168633542846173451775619238671177620592167679409414133382357732851260970228149682256009783901419
  ( 158 digits)
SNFS difficulty: 166 digits.
Divisors found:

Wed Apr  2 00:28:00 2008  prp50 factor: 84487268400846963130771961910946989225423105211073
Wed Apr  2 00:28:00 2008  prp54 factor: 404346314135854308052527269390940411387810076224120869
Wed Apr  2 00:28:00 2008  prp55 factor: 1085306631461643435651060404463146659487393443172166287
Wed Apr  2 00:28:00 2008  elapsed time 00:53:00 (Msieve 1.33)

Version: GGNFS-0.77.1-20050930-k8
Total time: 45.93 hours.
Scaled time: 38.49 units (timescale=0.838).
Factorization parameters were as follows:
name: KA_1_2_164_9
n: 37076370572108520285117694169011671267321814898181595809391309168633542846173451775619238671177620592167679409414133382357732851260970228149682256009783901419
type: snfs
deg: 5
c5: 11
c0: 61
skew: 1.41
m: 1000000000000000000000000000000000
rlim: 3000000
alim: 3000000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2900001)
Primes: RFBsize:216816, AFBsize:216278, largePrimes:5612922 encountered
Relations: rels:5482602, finalFF:460483
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 45.74 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.5,2.5,100000
total time: 45.93 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

101568840330264413237388822930979889101910651497072026084643242058579491153939325114881169376679390422211703898084569112611049921791675345871035972967<150>

748005811625541632642916647689589194648693239663159298286037563308548193<72>
135786164695082180429353840411133841148804527719360141316474387898066866066119<78>

Number: n
N=101568840330264413237388822930979889101910651497072026084643242058579491153939325114881169376679390422211703898084569112611049921791675345871035972967
  ( 150 digits)
SNFS difficulty: 168 digits.
Divisors found:

Fri Jun 20 20:10:57 2008  prp72 factor: 748005811625541632642916647689589194648693239663159298286037563308548193
Fri Jun 20 20:10:57 2008  prp78 factor: 135786164695082180429353840411133841148804527719360141316474387898066866066119
Fri Jun 20 20:10:57 2008  elapsed time 02:27:34 (Msieve 1.36)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 113.07 hours.
Scaled time: 148.57 units (timescale=1.314).
Factorization parameters were as follows:
name: KA_1_2_166_9
n: 101568840330264413237388822930979889101910651497072026084643242058579491153939325114881169376679390422211703898084569112611049921791675345871035972967
skew: 0.56
deg: 5
c5: 1100
c0: 61
m: 1000000000000000000000000000000000
type: snfs
rlim: 3800000
alim: 3800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5000001)
Primes: RFBsize:269987, AFBsize:269319, largePrimes:7804913 encountered
Relations: rels:7226972, finalFF:542557
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 112.54 hours.
Total relation processing time: 0.53 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,3800000,3800000,28,28,48,48,2.5,2.5,100000
total time: 113.07 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

4294886908593843300622432151296627704737193533254220188966535719820666122536511777508965491500062137057238610263195991513954729651614231663295725113169362258533<160>

411666912515401882965759279521788799204135831<45>
10432917434026609382438829606769439297165342068877860732100883252228761348457631305397697008539566408107238406463843<116>

Number: n
N=4294886908593843300622432151296627704737193533254220188966535719820666122536511777508965491500062137057238610263195991513954729651614231663295725113169362258533
  ( 160 digits)
SNFS difficulty: 169 digits.
Divisors found:

Wed Jun 25 12:13:26 2008  prp45 factor: 411666912515401882965759279521788799204135831
Wed Jun 25 12:13:26 2008  prp116 factor: 10432917434026609382438829606769439297165342068877860732100883252228761348457631305397697008539566408107238406463843
Wed Jun 25 12:13:26 2008  elapsed time 02:24:39 (Msieve 1.34)

Version: GGNFS-0.77.1-20050930-k8
Total time: 101.65 hours.
Scaled time: 63.02 units (timescale=0.620).
Factorization parameters were as follows:
name: KA_1_2_167_9
n: 4294886908593843300622432151296627704737193533254220188966535719820666122536511777508965491500062137057238610263195991513954729651614231663295725113169362258533
type: snfs
deg: 5
c5: 11000
c0: 61
skew: 0.35
m: 1000000000000000000000000000000000
rlim: 5800000
alim: 5800000
lbpr: 28
lbpa: 28
mbpr: 48
mbpa: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5300093)
Primes: RFBsize:399993, AFBsize:401226, largePrimes:5866471 encountered
Relations: rels:6006996, finalFF:811405
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 101.36 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,48,48,2.5,2.5,100000
total time: 101.65 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691<171>

12028479575122500852357107894999807304683<41>
731295526744164282624207366517572340820823022344947<51>
11676147223871752732879615382398657779764886931536666306447311056887715314521891<80>

Number: n
N=102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691
  ( 171 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Jun 02 12:00:46 2008  prp41 factor: 12028479575122500852357107894999807304683
Mon Jun 02 12:00:46 2008  prp51 factor: 731295526744164282624207366517572340820823022344947
Mon Jun 02 12:00:46 2008  prp80 factor: 11676147223871752732879615382398657779764886931536666306447311056887715314521891
Mon Jun 02 12:00:46 2008  elapsed time 02:16:33 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 132.61 hours.
Scaled time: 241.74 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_1_2_171_9
n: 102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691
skew: 0.56
deg: 5
c5: 1100
c0: 61
m: 10000000000000000000000000000000000
type: snfs
rlim: 3800000
alim: 3800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 8900279)
Primes: RFBsize:269987, AFBsize:269319, largePrimes:8671566 encountered
Relations: rels:8126828, finalFF:570564
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 132.21 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,3800000,3800000,28,28,48,48,2.5,2.5,100000
total time: 132.61 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

6506776738926841085832091864702317704939029726883762794768796960571743860949450445779672075229889310813089910124182766157451684881931921911723<142>

370213993053058810577180008052464963<36>
135581314979100013821605633469943622819<39>
129632302176827106237494463843268187181151032935432367315492954199859<69>

#ECM, then gnfs/Msieve
#
Using B1=2000000, B2=11413147210, polynomial Dickson(12), sigma=774383078
Step 1 took 13440ms
Step 2 took 13985ms
********** Factor found in step 2: 370213993053058810577180008052464963
Found probable prime factor of 36 digits: 370213993053058810577180008052464963
Composite cofactor 17575717992902268267555073239638187779950682665186919490503984459819118518231525646978446649297579838982521 has 107 digits

Number: 12229_173
N=17575717992902268267555073239638187779950682665186919490503984459819118518231525646978446649297579838982521
  ( 107 digits)
Divisors found:
 r1=135581314979100013821605633469943622819
 r2=129632302176827106237494463843268187181151032935432367315492954199859
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.719).
Factorization parameters were as follows:
name: 12229_173
n: 17575717992902268267555073239638187779950682665186919490503984459819118518231525646978446649297579838982521
skew: 12412.40
# norm 3.95e+14
c5: 23880
c4: -801144701
c3: -28651090013206
c2: 233589483730740904
c1: 1012470718482202241190
c0: 858705876167084202647853
# alpha -5.24
Y1: 60738216517
Y0: -236252547292224089980
# Murphy_E 1.52e-09
# M 17395019518137050286633518025364420683886479604045755806861763608633749627030105245197574996886503717697083
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2450001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 298764 x 299012
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,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000

total time: 8.50 hours.

GMP-ECM 6.2.1+pol51+Msieve 1.36

Opteron-2.6GHz; Linux x86_64

8154797189219035185883742410468331537161411161943742852028358977401569108859620535950870810499725134035267583690068457765415372123193367604402289569623038858291385557<166>

204053639276510665495715892952412089741<39>
39963987989298079957790576065453642525506021976434141617561000417779231224664027809264609009659476491650400852324524033300905577<128>

Number: 4
N=8154797189219035185883742410468331537161411161943742852028358977401569108859620535950870810499725134035267583690068457765415372123193367604402289569623038858291385557
  ( 166 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=204053639276510665495715892952412089741 (pp39)
 r2=39963987989298079957790576065453642525506021976434141617561000417779231224664027809264609009659476491650400852324524033300905577 (pp128)
Version: Msieve-1.40
Total time: 96.86 hours.
Scaled time: 168.05 units (timescale=1.735).
Factorization parameters were as follows:
n: 8154797189219035185883742410468331537161411161943742852028358977401569108859620535950870810499725134035267583690068457765415372123193367604402289569623038858291385557
m: 10000000000000000000000000000000000
deg: 5
c5: 110000
c0: 61
skew: 0.22
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 7800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1237871 x 1238095
Total sieving time: 92.83 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.08 hours.
Time per square root: 1.78 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 96.86 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

25445323373194071576010003463825297936683153964922344351156347670931795446864483615366700036031576832820358250673044105820667960928116581434734346063<149>

1009527932035299050394699912255853515824294939969<49>
25205170224358242919873357355640252008319879137908820542325198214742974929568966743207947569449130127<101>

N = 25445323373194071576010003463825297936683153964922344351156347670931795446864483615366700036031576832820358250673044105820667960928116581434734346063 (149 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=1009527932035299050394699912255853515824294939969 (pp49)
r2=25205170224358242919873357355640252008319879137908820542325198214742974929568966743207947569449130127 (pp101)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 25.36 hours.
Factorization parameters were as follows:
name: (11*10^176+61)/9
n: 25445323373194071576010003463825297936683153964922344351156347670931795446864483615366700036031576832820358250673044105820667960928116581434734346063
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 61
c1: 0
c2: 0
c3: 0
c4: 0
c5: 110
skew: 0.89
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21031584
Relations: 2647202 relations
Pruned matrix : 1513167 x 1513399
Polynomial selection time: 0.00 hours.
Total sieving time: 23.17 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 2.02 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 25.36 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

38045704004947974476978005295278938728700042080267729415172584604132713065280861541942018016886062739104739134924171059713880259774671210010931014754095068673<158>

166015448567038160635557065057282153<36>
13271963912284740114766041750769751383132683401<47>
17267200403011484159865292470348622164215629835969616774555553640844188447441<77>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=260035165
Step 1 took 23853ms
Step 2 took 14835ms
********** Factor found in step 2: 166015448567038160635557065057282153
Found probable prime factor of 36 digits: 166015448567038160635557065057282153
Composite cofactor 229169660614956938515733532818396555014011391844527636486350359308160898134067027729392644455566667127185471995194381626841 has 123 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=252903357
Step 1 took 16193ms
Step 2 took 4992ms
********** Factor found in step 2: 13271963912284740114766041750769751383132683401
Found probable prime factor of 47 digits: 13271963912284740114766041750769751383132683401
Probable prime cofactor 17267200403011484159865292470348622164215629835969616774555553640844188447441 has 77 digits

GMP-ECM 6.3

5235067405677476170287243585231811618098597413637893336215226567411081842907534068826751291103165097578184206522576880984301467<127>

386743518904360880703905991006429255227<39>
15816269637526716768726379630499787809243<41>
855845109201103507837814977690861986896119008947<48>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 5235067405677476170287243585231811618098597413637893336215226567411081842907534068826751291103165097578184206522576880984301467 (127 digits)
Using B1=4700000, B2=8562235510, polynomial Dickson(6), sigma=4164732629
Step 1 took 46581ms
Step 2 took 15426ms
********** Factor found in step 2: 386743518904360880703905991006429255227
Found probable prime factor of 39 digits: 386743518904360880703905991006429255227
Composite cofactor 13536277015083150708358105307944157502727791650822840210249683528781966042510629446297121 has 89 digits


Thu May  8 22:23:43 2008  
Thu May  8 22:23:43 2008  
Thu May  8 22:23:43 2008  Msieve v. 1.34
Thu May  8 22:23:43 2008  random seeds: 447cc43b 31aa6ae9
Thu May  8 22:23:43 2008  factoring 13536277015083150708358105307944157502727791650822840210249683528781966042510629446297121 (89 digits)
Thu May  8 22:23:43 2008  no P-1/P+1/ECM available, skipping
Thu May  8 22:23:43 2008  commencing quadratic sieve (89-digit input)
Thu May  8 22:23:44 2008  using multiplier of 1
Thu May  8 22:23:44 2008  using 64kb Opteron sieve core
Thu May  8 22:23:44 2008  sieve interval: 14 blocks of size 65536
Thu May  8 22:23:44 2008  processing polynomials in batches of 8
Thu May  8 22:23:44 2008  using a sieve bound of 1520879 (58333 primes)
Thu May  8 22:23:44 2008  using large prime bound of 121670320 (26 bits)
Thu May  8 22:23:44 2008  using double large prime bound of 357546364197680 (42-49 bits)
Thu May  8 22:23:44 2008  using trial factoring cutoff of 49 bits
Thu May  8 22:23:44 2008  polynomial 'A' values have 11 factors
Thu May  8 23:01:20 2008  58833 relations (15979 full + 42854 combined from 614451 partial), need 58429
Thu May  8 23:01:20 2008  begin with 630430 relations
Thu May  8 23:01:20 2008  reduce to 142082 relations in 9 passes
Thu May  8 23:01:20 2008  attempting to read 142082 relations
Thu May  8 23:01:21 2008  recovered 142082 relations
Thu May  8 23:01:21 2008  recovered 118230 polynomials
Thu May  8 23:01:21 2008  attempting to build 58833 cycles
Thu May  8 23:01:21 2008  found 58833 cycles in 5 passes
Thu May  8 23:01:21 2008  distribution of cycle lengths:
Thu May  8 23:01:21 2008     length 1 : 15979
Thu May  8 23:01:21 2008     length 2 : 11357
Thu May  8 23:01:21 2008     length 3 : 10582
Thu May  8 23:01:21 2008     length 4 : 7805
Thu May  8 23:01:21 2008     length 5 : 5245
Thu May  8 23:01:21 2008     length 6 : 3550
Thu May  8 23:01:21 2008     length 7 : 2031
Thu May  8 23:01:21 2008     length 9+: 2284
Thu May  8 23:01:21 2008  largest cycle: 18 relations
Thu May  8 23:01:22 2008  matrix is 58333 x 58833 (14.0 MB) with weight 3422665 (58.18/col)
Thu May  8 23:01:22 2008  sparse part has weight 3422665 (58.18/col)
Thu May  8 23:01:22 2008  filtering completed in 3 passes
Thu May  8 23:01:22 2008  matrix is 54281 x 54344 (12.9 MB) with weight 3170823 (58.35/col)
Thu May  8 23:01:22 2008  sparse part has weight 3170823 (58.35/col)
Thu May  8 23:01:22 2008  saving the first 48 matrix rows for later
Thu May  8 23:01:22 2008  matrix is 54233 x 54344 (8.9 MB) with weight 2545096 (46.83/col)
Thu May  8 23:01:22 2008  sparse part has weight 2008783 (36.96/col)
Thu May  8 23:01:22 2008  matrix includes 64 packed rows
Thu May  8 23:01:22 2008  using block size 21737 for processor cache size 1024 kB
Thu May  8 23:01:23 2008  commencing Lanczos iteration
Thu May  8 23:01:23 2008  memory use: 8.4 MB
Thu May  8 23:01:41 2008  lanczos halted after 859 iterations (dim = 54229)
Thu May  8 23:01:41 2008  recovered 14 nontrivial dependencies
Thu May  8 23:01:42 2008  prp41 factor: 15816269637526716768726379630499787809243
Thu May  8 23:01:42 2008  prp48 factor: 855845109201103507837814977690861986896119008947
Thu May  8 23:01:42 2008  elapsed time 00:37:59

4740692172983764688112992463787701381880783540886609186466419533788084671379339727815000294881228710786433524416307234286876774284559<133>

1387881908915860588304141100439680422152699<43>
31721902510753229188134497580081648224913017<44>
107678752482208230074698244634264271856436452773<48>

Number: n
N=4740692172983764688112992463787701381880783540886609186466419533788084671379339727815000294881228710786433524416307234286876774284559
  ( 133 digits)
Divisors found:

Sun Apr 22 23:37:44 2012  prp43 factor: 1387881908915860588304141100439680422152699
Sun Apr 22 23:37:44 2012  prp44 factor: 31721902510753229188134497580081648224913017
Sun Apr 22 23:37:44 2012  prp48 factor: 107678752482208230074698244634264271856436452773
Sun Apr 22 23:37:44 2012  elapsed time 06:05:13 (Msieve 1.44 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.026).
Factorization parameters were as follows:
name: KA_12229_183
n: 4740692172983764688112992463787701381880783540886609186466419533788084671379339727815000294881228710786433524416307234286876774284559
skew: 125950.36
# norm 2.65e+18
c5: 177660
c4: -537441934802
c3: -23646538385981386
c2: 8713420797678220290891
c1: 513941996556009098221115640
c0: 6332613460938124249610306892900
# alpha -6.26
Y1: 237334687140793
Y0: -30566974867446092734321373
# Murphy_E 4.94e-11
# M 1996451729173927900701973588692066224365909007220179680523927773711626580523535944663449449813639153589621146664230030256584156009866
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 23160000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2872308 hash collisions in 12416094 relations
Msieve: matrix is 1375113 x 1375338 (403.2 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399952)
Calibrating delay using timer specific routine.. 4799.86 BogoMIPS (lpj=2399932)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953)
Total of 4 processors activated (19200.19 BogoMIPS).

4749135471832944356169909634899884609783312479852119551728760063745896648025410525866723875073691726044664605368494865741731877524590427936409094904236873873571316577723489261<175>

1197532413204101288581359609918411536825704490349292185731263<61>
3965767790056072611710606289179603717767506105001961234372227785995276350304032030067746952663255063056800079307347<115>

N=4749135471832944356169909634899884609783312479852119551728760063745896648025410525866723875073691726044664605368494865741731877524590427936409094904236873873571316577723489261
  ( 175 digits)
SNFS difficulty: 189 digits.
Divisors found:
 r1=1197532413204101288581359609918411536825704490349292185731263 (pp61)
 r2=3965767790056072611710606289179603717767506105001961234372227785995276350304032030067746952663255063056800079307347 (pp115)
Version: Msieve v. 1.47
Total time:
Scaled time: 28.83 units (timescale=1.058).
Factorization parameters were as follows:
n: 4749135471832944356169909634899884609783312479852119551728760063745896648025410525866723875073691726044664605368494865741731877524590427936409094904236873873571316577723489261
m: 10000000000000000000000000000000000000
deg: 5
c5: 11000
c0: 61
skew: 0.35
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4950000, 18150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2219901 x 2220127
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,189.000,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time:

31390708511049562436810080062969650302122567268423770599647590878616037606336206074110902616599056453584027709327756162758474631859491969851275647138338899640098563<164>

2030855800866751709515000376583443162245292296140022715000263<61>
15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101<104>

31390708511049562436810080062969650302122567268423770599647590878616037606336206074110902616599056453584027709327756162758474631859491969851275647138338899640098563=2030855800866751709515000376583443162245292296140022715000263*15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101

n: 31390708511049562436810080062969650302122567268423770599647590878616037606336206074110902616599056453584027709327756162758474631859491969851275647138338899640098563
skew: 1.12
type: snfs
c0: 305
c5: 176
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 176*x^5+305
# g(x) = -x+50000000000000000000000000000000000000

Info:Square Root: Factors: 15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101 2030855800866751709515000376583443162245292296140022715000263
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.59/1.99489
Info:Generate Free Relations: Total cpu/real time for freerel: 102.27/26.2115
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26391114
Info:Lattice Sieving: Average J: 1893.9 for 2637705 special-q, max bucket fill -bkmult 1.0,1s:1.079350
Info:Lattice Sieving: Total time: 539433s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 52.66/114.969
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 114.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 427.96/396.685
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 343.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 340.72/351.6
Info:Filtering - Merging: Total cpu/real time for merge: 311.96/89.826
Info:Filtering - Merging: Total cpu/real time for replay: 84.21/73.0328
Info:Linear Algebra: Total cpu/real time for bwc: 82046.4/20993.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13379.42, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68608 iterations)
Info:Linear Algebra: Lingen CPU time 441.18, WCT time 127.94
Info:Linear Algebra: Mksol: WCT time 7277.78, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 77.75/32.8518
Info:Square Root: Total cpu/real time for sqrt: 625.69/196.705
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.10332e+06/127739
Info:root: Cleaning up computation data in /tmp/cado.2pvpx0bj
15456886942761903260384667702949900194423914303088093566027685913397888975764182283316380417603214544101 2030855800866751709515000376583443162245292296140022715000263

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

24873832051279840435458978051241830538283361502907706202701870182056396434891594809410144814646571626585033878673309320385273449799580694636084754293<149>

146126899303272019426968796877760534149021923<45>
170220761337422526130953854181025799122521545819830553249420121326098648223638112596560241848015184629191<105>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=492177248
Step 1 took 24195ms
Step 2 took 14290ms
********** Factor found in step 2: 146126899303272019426968796877760534149021923
Found probable prime factor of 45 digits: 146126899303272019426968796877760534149021923
Probable prime cofactor 170220761337422526130953854181025799122521545819830553249420121326098648223638112596560241848015184629191 has 105 digits

GMP-ECM 6.3

11737539402292541692621143470794498274430582462006126488822841210090427574220233767000023751274711608334132747761715659790085658844281273033540865921<149>

1933521723301162921982675759356307660137766357<46>
6070549537065799625359485868250735579760334311859967340630725292169736006551144771493838303939751757053<103>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1781384575
Step 1 took 16349ms
Step 2 took 10000ms
********** Factor found in step 2: 1933521723301162921982675759356307660137766357
Found probable prime factor of 46 digits: 1933521723301162921982675759356307660137766357
Probable prime cofactor 6070549537065799625359485868250735579760334311859967340630725292169736006551144771493838303939751757053 has 103 digits

GMP-ECM 6.3

346655098876312649283917198952541939420053043940207189446772740123193178657976259666578081484497376562508043972489011936443196774689965250786575794787<150>

287112433425351760887739313990579349228259694987021237<54>
1207384489555523813149989393968168141089320562760965890265560036005472774519636917683227680724151<97>

Factors:
1207384489555523813149989393968168141089320562760965890265560036005472774519636917683227680724151
287112433425351760887739313990579349228259694987021237

Info:Square Root: Total cpu/real time for sqrt: 4676.47/637.328
Info:Filtering - Singleton removal: Total cpu/real time for purge: 270.44/111.49
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55855564
Info:Lattice Sieving: Average J: 3794.14 for 914544 special-q, max bucket fill -bkmult 1.0,1s:1.212060
Info:Lattice Sieving: Total time: 436942s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 882.04/248.149
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 208.0s
Info:Linear Algebra: Total cpu/real time for bwc: 109348/28163.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 69821.42, WCT time 18077.51, iteration CPU time 0.2, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (84000 iterations)
Info:Linear Algebra: Lingen CPU time 1056.28, WCT time 135.24
Info:Linear Algebra: Mksol: CPU time 36917.82,  WCT time 9446.5, iteration CPU time 0.21, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (42000 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 621.83/79.2853
Info:Generate Factor Base: Total cpu/real time for makefb: 37.65/6.76883
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 134.96/192.286
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 192.20000000000002s
Info:Filtering - Merging: Total cpu/real time for merge: 475.07/88.963
Info:Filtering - Merging: Total cpu/real time for replay: 91.61/75.7909
Info:Quadratic Characters: Total cpu/real time for characters: 110.71/30.8751
Info:Square Root: Total cpu/real time for sqrt: 4676.47/637.328
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.47602e+06/46970.9
1207384489555523813149989393968168141089320562760965890265560036005472774519636917683227680724151 287112433425351760887739313990579349228259694987021237

CADO-NFS

6100522906481980313205279747383117110906194377574821296515668954235988206903230021902246371652883136385002347846845463016353013141154552303967509543<148>

749584837708190410849515842611051446098065845031243<51>
8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101<97>

6100522906481980313205279747383117110906194377574821296515668954235988206903230021902246371652883136385002347846845463016353013141154552303967509543=749584837708190410849515842611051446098065845031243*8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101

cado polynomial
n: 6100522906481980313205279747383117110906194377574821296515668954235988206903230021902246371652883136385002347846845463016353013141154552303967509543
skew: 1.12
type: snfs
c0: 305
c5: 176
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 176*x^5+305
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12800000
tasks.lim1 = 12800000
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: 8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101 749584837708190410849515842611051446098065845031243
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: 5.41/2.17649
Info:Generate Free Relations: Total cpu/real time for freerel: 102.75/26.6276
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 30510250
Info:Lattice Sieving: Average J: 1893.45 for 4163985 special-q, max bucket fill -bkmult 1.0,1s:1.084550
Info:Lattice Sieving: Total time: 1.02442e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.03/148.625
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 147.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 529/529.028
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 462.4s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 461.17/543.129
Info:Filtering - Merging: Merged matrix has 2734133 rows and total weight 468976357 (171.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 385.57/111.465
Info:Filtering - Merging: Total cpu/real time for replay: 105.29/92.7676
Info:Linear Algebra: Total cpu/real time for bwc: 133401/34127.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 21659.12, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (85504 iterations)
Info:Linear Algebra: Lingen CPU time 554.92, WCT time 160.79
Info:Linear Algebra: Mksol: WCT time 12009.45, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 94.26/40.2583
Info:Square Root: Total cpu/real time for sqrt: 767.8/242.864
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.02535e+06/548379
Info:root: Cleaning up computation data in /tmp/cado.lb6h5cgl
8138535626112654976817703375081604031306228404967791430495227637298126186548290768401844116878101 749584837708190410849515842611051446098065845031243

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)

505680443903975398414855721305732561093780703415117921284326032059425934654646485728442044069743883462574991401692386242014464580708731092576656126818799770947<159>

212071210648912284976835816180723<33>

2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3704976283
Step 1 took 22838ms
Step 2 took 12371ms
********** Factor found in step 2: 212071210648912284976835816180723
Found probable prime factor of 33 digits: 212071210648912284976835816180723
Composite cofactor 2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289 has 127 digits

GMP-ECM 6.3

2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289<127>

5338460450999237824237853885427217427507670656780083<52>
446661390134718521913703220641808230813112409002557427937064503643987527883<75>

Number: 12229_195
N = 2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289 (127 digits)
Divisors found:
r1=5338460450999237824237853885427217427507670656780083 (pp52)
r2=446661390134718521913703220641808230813112409002557427937064503643987527883 (pp75)
Version: Msieve v. 1.47
Total time: 75.80 hours.
Factorization parameters were as follows:
# Murphy_E = 1.367e-10, selected by Erik Branger
n: 2384484166222535956768034306237326982535170734203240096818681251090091576902824324062731754640758120473952644973293623961554289
Y0: -9209064152323486270305271
Y1: 26776081327861
c0: 5040592571095633402037387676600300
c1: 19880761062636942682886230590
c2: -8917212804124971640184
c3: -4302604271818534
c4: 411987541
c5: 36
skew: 4441958.58
type: gnfs
# selected mechanically
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [3900000, 6900000)
Relations: 16790031
Relations in full relation-set: 2053836 relations
Pruned matrix : 1166771 x 1167006
Polynomial selection time: 0.00 hours.
Total sieving time: 74.14 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.33 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 75.80 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2349975432075028306522249994659146745284026576085795466683757397081757781623192121173278642996005041765472451878912175009079450533017154820654147706637612424961011771240573394005426306906791429<193>

699832124108847798741485425887914051354612179418155850943173793518512148779<75>
3357913063890057812139730083956434092709376336074841936115931570216636665682954630291217184320194608355208412264830351<118>

Number: n
N=2349975432075028306522249994659146745284026576085795466683757397081757781623192121173278642996005041765472451878912175009079450533017154820654147706637612424961011771240573394005426306906791429
  ( 193 digits)
SNFS difficulty: 197 digits.
Divisors found:

Sun Mar 14 17:02:24 2010  prp75 factor: 699832124108847798741485425887914051354612179418155850943173793518512148779
Sun Mar 14 17:02:24 2010  prp118 factor: 3357913063890057812139730083956434092709376336074841936115931570216636665682954630291217184320194608355208412264830351
Sun Mar 14 17:02:24 2010  elapsed time 08:39:01 (Msieve 1.42 - dependency 1)

Version: 
Total time: 27.91 hours.
Scaled time: 23.50 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_1_2_195_9
n: 2349975432075028306522249994659146745284026576085795466683757397081757781623192121173278642996005041765472451878912175009079450533017154820654147706637612424961011771240573394005426306906791429
m: 1000000000000000000000000000000000000000
deg: 5
c5: 110
c0: 61
skew: 0.89
type: snfs
lss: 1
rlim: 13500000
alim: 13500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13500000/13500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 13644187)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5330955 hash collisions in 34391077 relations
Msieve: matrix is 1813700 x 1813926 (484.3 MB)

Total sieving time: 27.91 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,197,5,0,0,0,0,0,0,0,0,13500000,13500000,28,28,56,56,2.5,2.5,100000
total time: 27.91 hours.
 --------- CPU info (if available) ----------

1038506081042651623853576201072436625198140180871501297515091378465604204410270519119707278831520355108842915120345672701904057472916207222259<142>

296494981326206096780134845005342753<36>
172621550187742328177268741389321046757071839<45>
20290683886755321086478451532646109208162058265221451375017677<62>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3469469862
Step 1 took 12839ms
Step 2 took 8393ms
********** Factor found in step 2: 296494981326206096780134845005342753
Found probable prime factor of 36 digits: 296494981326206096780134845005342753
Composite cofactor 3502609306901148229904030686861893419815575434804281512594700110913063188321202586371031212863853383898003 has 106 digits

N = 3502609306901148229904030686861893419815575434804281512594700110913063188321202586371031212863853383898003 (106 digits)
Divisors found:
r1=172621550187742328177268741389321046757071839 (pp45)
r2=20290683886755321086478451532646109208162058265221451375017677 (pp62)
Version: Msieve v. 1.48
Total time: 3.06 hours.
Factorization parameters were as follows:
n: 3502609306901148229904030686861893419815575434804281512594700110913063188321202586371031212863853383898003
Y0: -566541137453737938825
Y1: 59446063253
c0: 10881854374108905716281496
c1: -48394463285263955922
c2: -176038178992160668
c3: 2744876831253
c4: 109551656
c5: 60
skew: 40115.51  
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5058874
Relations: 463722 relations
Pruned matrix : 281900 x 282131
Polynomial selection time: 0.00 hours.
Total sieving time: 2.94 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
time per square root: 0.01 hours.
Prototype def-par.txt line would be: gnfs,105,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 3.06 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

GMP-ECM 6.3

1432683416038239622813529741205277484728897224501491293192148894880110446866981857018195079383685643209731827713307024056056994751168939423540290964977402675210669584131077508172807668763594211959<196>

3841095258017395523843912468543<31>

372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313<165>

1432683416038239622813529741205277484728897224501491293192148894880110446866981857018195079383685643209731827713307024056056994751168939423540290964977402675210669584131077508172807668763594211959


Run 3 out of 1000:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1253208643
Step 1 took 34594ms
Step 2 took 20641ms
********** Factor found in step 2: 3841095258017395523843912468543
Found probable prime factor of 31 digits: 3841095258017395523843912468543
Composite cofactor 3729882545994779119162228360242235049270652290099286964600041
35733498615633072233566730189925228638215606368739612714868913553887169813562866
201417920242857682106313 has 165 digits

(上の枠に貼り付けた素因数分解ソフトウェアの出力結果にソフトウェアの種類とバージョンの情報が含まれていない場合は、それをここに記入してください。例：
GMP-ECM 6.1.2

Pentium 4 2.4GHz, Windows XP and Cygwin)

372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313<165>

6877305450165256257005339179531704702949872587<46>
54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699<119>

372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313=6877305450165256257005339179531704702949872587*54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699

cado polynomial
n: 372988254599477911916222836024223504927065229009928696460004135733498615633072233566730189925228638215606368739612714868913553887169813562866201417920242857682106313
skew: 1.12
type: snfs
c0: 305
c5: 176
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 176*x^5+305
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15500000
tasks.lim1 = 15500000
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: 54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699 6877305450165256257005339179531704702949872587
Info:Square Root: Total cpu/real time for sqrt: 1922.23/589.143
Info:Square Root: Total cpu/real time for sqrt: 1922.23/589.143
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 213.51/255.987
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 255.39999999999998s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.47/2.93053
Info:Filtering - Singleton removal: Total cpu/real time for purge: 714.47/842.231
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49651334
Info:Lattice Sieving: Average J: 1893.84 for 5139737 special-q, max bucket fill -bkmult 1.0,1s:1.126170
Info:Lattice Sieving: Total time: 1.32875e+06s
Info:Filtering - Merging: Merged matrix has 3634825 rows and total weight 617994783 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1038.44/286.315
Info:Filtering - Merging: Total cpu/real time for replay: 145.16/128.032
Info:Linear Algebra: Total cpu/real time for bwc: 246860/63154.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 159744.99, WCT time 40753.27, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (113664 iterations)
Info:Linear Algebra: Lingen CPU time 795.69, WCT time 201.83
Info:Linear Algebra: Mksol: CPU time 84872.99,  WCT time 21665.75, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56832 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 130.46/55.1504
Info:Generate Free Relations: Total cpu/real time for freerel: 234.4/61.2848
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 965.82/975.356
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 788.9000000000001s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.75385e+06/126316
54234650082397503028400681920267877589645384534370039191321237611614425769134816926967674946127012945258464142538864699 6877305450165256257005339179531704702949872587

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)

40137002186268375875122889849624726520692897542748327889841370134596138744651176464127973740413860038114507694080067972061906237911507144000171107691633564173754143918629997<173>

1465244970447489243314214050109773<34>

27392690639306846737442896452453758429081746014011719306509121712820701456377390884967789532663482640305445631664426385771247148972753987489<140>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2764707762
Step 1 took 7831ms
Step 2 took 5866ms
********** Factor found in step 2: 1465244970447489243314214050109773
Found probable prime factor of 34 digits: 1465244970447489243314214050109773
Composite cofactor 27392690639306846737442896452453758429081746014011719306509121712820701456377390884967789532663482640305445631664426385771247148972753987489 has 140 digits

GMP-ECM 6.3

27392690639306846737442896452453758429081746014011719306509121712820701456377390884967789532663482640305445631664426385771247148972753987489<140>

43995874159827830386703320218619823<35>
622619533363399430673638242532843452824438722158058998441046918212107040418838800110512251026791221133743<105>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=974976605
Step 1 took 5336ms
Step 2 took 4040ms
********** Factor found in step 2: 43995874159827830386703320218619823
Found probable prime factor of 35 digits: 43995874159827830386703320218619823
Probable prime cofactor 622619533363399430673638242532843452824438722158058998441046918212107040418838800110512251026791221133743 has 105 digits

GMP-ECM 6.3

21086346257499812163306773333889154085156477473003799291670408606542359783901733116262280452995530633702594726108467946233966069542727401153751742237554326951156323825999935621084547170437122279333<197>

784655043993460239711103354493609<33>

26873396684206566746762561085718082571916442318078907431457211507979122532144210037687215701310165481706371003221904683668779193267583849094527061039369393209966237<164>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3311623188
Step 1 took 12168ms
Step 2 took 7020ms
********** Factor found in step 2: 784655043993460239711103354493609
Found probable prime factor of 33 digits: 784655043993460239711103354493609
Composite cofactor 26873396684206566746762561085718082571916442318078907431457211507979122532144210037687215701310165481706371003221904683668779193267583849094527061039369393209966237 has 164 digits

GMP-ECM 6.3

26873396684206566746762561085718082571916442318078907431457211507979122532144210037687215701310165481706371003221904683668779193267583849094527061039369393209966237<164>

24916789104353075616718668041094679018914793<44>
1078525670850248636048342193074087255889618796744731826777568586516569742778117124957254223216591121064938014029617346709<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1728892841
Step 1 took 12211ms
Step 2 took 5615ms
********** Factor found in step 2: 24916789104353075616718668041094679018914793
Found probable prime factor of 44 digits: 24916789104353075616718668041094679018914793
Probable prime cofactor

581574279124204641741409183099077645845897048884956162917201180000798851679471773821389439657771503528413850783927211197599151206017876777673275967701907263762745627354827454240427<180>

6378044743217401174541370796975996342273<40>
91183787906578688476188341780452026472920214610831791809248859022384414397143023289264260429656742843623310787111243808664698014353960969899<140>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=604478671
Step 1 took 10545ms
Step 2 took 6287ms
********** Factor found in step 2: 6378044743217401174541370796975996342273
Found probable prime factor of 40 digits: 6378044743217401174541370796975996342273
Probable prime cofactor 91183787906578688476188341780452026472920214610831791809248859022384414397143023289264260429656742843623310787111243808664698014353960969899 has 140 digits

GMP-ECM 6.3

47475178714160075849452979985245836596226837664146455436476154342030427851964434202926255212326845560995045736357134500586562306901454213493971038578619390124100246636574567797949679098650758442091307<200>

262888092387914459712148508184291071319341061918040807524768781013028881951<75>
180590829667957275637417208807784542638687337590103066706339862468813355987792944671113276017728697310039382003270998976375157<126>

Number: n
N=47475178714160075849452979985245836596226837664146455436476154342030427851964434202926255212326845560995045736357134500586562306901454213493971038578619390124100246636574567797949679098650758442091307
  ( 200 digits)
SNFS difficulty: 208 digits.
Divisors found:

Tue Aug  1 13:56:28 2017  prp75 factor: 262888092387914459712148508184291071319341061918040807524768781013028881951
Tue Aug  1 13:56:28 2017  prp126 factor: 180590829667957275637417208807784542638687337590103066706339862468813355987792944671113276017728697310039382003270998976375157
Tue Aug  1 13:56:28 2017  elapsed time 10:40:35 (Msieve 1.44 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=4.429).
Factorization parameters were as follows:
#
# N = 11*10^207+61  12(206)9
#
n: 47475178714160075849452979985245836596226837664146455436476154342030427851964434202926255212326845560995045736357134500586562306901454213493971038578619390124100246636574567797949679098650758442091307
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1100
c0: 61
skew: 0.56
# Murphy_E = 6.328e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 28100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7602180 hash collisions in 52623960 relations (46831867 unique)
Msieve: matrix is 3353918 x 3354142 (960.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 10hrs 14min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 59sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.050273] smpboot: CPU0: Intel(R) Core(TM) i7-6700K CPU @ 4.00GHz (family: 0x6, model: 0x5e, stepping: 0x3)
[    0.000000] Memory: 16339156K/16705272K available (7836K kernel code, 1309K rwdata, 3448K rodata, 1528K init, 1544K bss, 366116K reserved, 0K cma-reserved)
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 8016.72 BogoMIPS (lpj=4008360)
[    0.074633] smpboot: Total of 8 processors activated (64133.76 BogoMIPS)

229197007305943411163768048105233268572844208265094412625248534027524856944407559776164281271695117943286365613467299314176203309841719129061031789023808590019865046104442528223753<180>

64747687539289377432369013<26>

3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981<154>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2950207672
Step 1 took 4805ms
Step 2 took 3416ms
********** Factor found in step 2: 64747687539289377432369013
Found probable prime factor of 26 digits: 64747687539289377432369013
Composite cofactor 3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981 has 154 digits

GMP-ECM 6.3

3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981<154>

6633230394390079276939583513744736030156218983<46>
533653790250242973872229182245614566607446833059050241976292840626268232247925427353186269598809643025278707<108>

#
# N = 11x10^209+61 = 12(208)9
#
n: 3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981
m: 500000000000000000000000000000000000000000
deg: 5
c5: 176
c0: 305
skew: 1.12
# Murphy_E = 4.843e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3539848541569379844811101425644061440069317003583060423352325560929576602872524213961062257178899561340601017369598455129225774445810805338715292899094981 (154 digits)
Using B1=41230000, B2=192394462276, polynomial Dickson(12), sigma=1:4245051950
Step 1 took 84751ms
Step 2 took 27321ms
********** Factor found in step 2: 6633230394390079276939583513744736030156218983
Found prime factor of 46 digits: 6633230394390079276939583513744736030156218983
Prime cofactor 533653790250242973872229182245614566607446833059050241976292840626268232247925427353186269598809643025278707 has 108 digits

540001330977796856064552710342981284087618534303728967220753442747995759121614731237658073848771908371119098871272559360823594965066175286847770483390892157305069507677954410955338731189<186>

5553299831823263614877201514231677385405989980961648305514618903266216886139796899538211240141550298746397630314244596321147413778728623972419789392606031913126498057071397419186329<181>

46403409386644382526491978807405211619<38>

119674392576455578789923359777233391347690259700905916029061928604580141911040555401816864932651089829071580988388785300423604681053382560491091<144>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1794245027
Step 1 took 50823ms
Step 2 took 24408ms
********** Factor found in step 2: 46403409386644382526491978807405211619
Found probable prime factor of 38 digits: 46403409386644382526491978807405211619
Composite cofactor 

119674392576455578789923359777233391347690259700905916029061928604580141911040555401816864932651089829071580988388785300423604681053382560491091<144>

363961856038876751682761150114377473337<39>
328810260170979301618112719587644411544408834560565092754171571219527646546530099786381502389259833764843<105>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=529766247
Step 1 took 36014ms
Step 2 took 22032ms
********** Factor found in step 2: 363961856038876751682761150114377473337
Found probable prime factor of 39 digits: 363961856038876751682761150114377473337
Probable prime cofactor

39201457717862331442750194779736741465234793802809449975164017360495936117965783727605048967319369192074235849748381645262802347349530692501497782351300421290649029742362893721<176>

9047595084098125497322639908271392652158368962423384173790769086299787710629019232275698382650342958152872779107815666695235754148532688830739227859994181054370394054999897787726889658588894560628121<199>

7303871457222653518183135330801<31>

1238739637887676445020169481548016755779474353734612372793544953368405578775144699619814134610942412922328686198719890989434334216118220908120784535647658263060276641321<169>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2934490434
Step 1 took 12121ms
Step 2 took 7051ms
********** Factor found in step 2: 7303871457222653518183135330801
Found probable prime factor of 31 digits: 7303871457222653518183135330801
Composite cofactor 1238739637887676445020169481548016755779474353734612372793544953368405578775144699619814134610942412922328686198719890989434334216118220908120784535647658263060276641321 has 169 digits

GMP-ECM 6.3

1238739637887676445020169481548016755779474353734612372793544953368405578775144699619814134610942412922328686198719890989434334216118220908120784535647658263060276641321<169>

200301998825217499484618742783535624079<39>
6184359842402742682374477975562665104453449208946685970706941551787161210149023164908742159233670498697823556178581290422053542599<130>

Run 37 out of 40:
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4243291190
Step 1 took 196859ms
Step 2 took 53117ms
********** Factor found in step 2: 200301998825217499484618742783535624079
Found probable prime factor of 39 digits: 200301998825217499484618742783535624079
Probable prime cofactor 6184359842402742682374477975562665104453449208946685970706941551787161210149023164908742159233670498697823556178581290422053542599 has 130 digits

GMP-ECM 6.4.4

Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

10011554628173454189597904555046398830558503817189456410257019864476635933574537471669194679306619955988368493768937456976758685925466598152888111474537494610135766945652661879501920935474269<191>

14732441150921750100869683232001809631103202670104993277367612276962155574472848797906825747106888865916252461886306752719362747997022968676862905780377186818096040482180010775131824064751<188>

21949294603619814862687724128163554189<38>

671203399333485553566528218101020814596911047383638478881717392162208493735559825489349922297714628343733353747728121085452981208503034049079898628459<150>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1811231371
Step 1 took 9282ms
Step 2 took 6099ms
********** Factor found in step 2: 21949294603619814862687724128163554189
Found probable prime factor of 38 digits: 21949294603619814862687724128163554189
Composite cofactor 671203399333485553566528218101020814596911047383638478881717392162208493735559825489349922297714628343733353747728121085452981208503034049079898628459 has 150 digits

GMP-ECM 6.3

671203399333485553566528218101020814596911047383638478881717392162208493735559825489349922297714628343733353747728121085452981208503034049079898628459<150>

136766132440818021994294998502282446401<39>
4907672589366605982000872962720567870088541896723976924424628560187426732119052412171439028376483142193789170859<112>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3318468621
Step 1 took 19578ms
Step 2 took 12387ms
********** Factor found in step 2: 136766132440818021994294998502282446401
Found probable prime factor of 39 digits: 136766132440818021994294998502282446401
Probable prime cofactor 4907672589366605982000872962720567870088541896723976924424628560187426732119052412171439028376483142193789170859 has 112 digits

GMP-ECM 6.3

192427625379677710174421653494093483229962540800928560066313262582565864438424148293228691027911604118387550596695426313346223229<129>

21870041316590894078498951913828391085973242899<47>
8798685955554169138941959671649647348723383067502994116997261976802531093309562671<82>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3489794505
Step 1 took 16177ms
Step 2 took 10920ms
********** Factor found in step 2: 21870041316590894078498951913828391085973242899
Found probable prime factor of 47 digits: 21870041316590894078498951913828391085973242899
Probable prime cofactor 8798685955554169138941959671649647348723383067502994116997261976802531093309562671 has 82 digits

GMP-ECM 6.3

102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060690943043884220354808590102707749766573295985060691<219>

30899051954865282119867104035787353163490059<44>

3323977380166876229045340939289720410045631820573510502823292976864102171914900334319727484180135824340150996095098314969251751203334163319682246957906049671878599857056204249<175>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1087098641
Step 1 took 66968ms
Step 2 took 20887ms
********** Factor found in step 2: 30899051954865282119867104035787353163490059
Found probable prime factor of 44 digits: 30899051954865282119867104035787353163490059
Composite cofactor 

3323977380166876229045340939289720410045631820573510502823292976864102171914900334319727484180135824340150996095098314969251751203334163319682246957906049671878599857056204249<175>

88159482025362964272952814364092802446939<41>

37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291<134>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=4056467977
Step 1 took 51180ms
Step 2 took 24477ms
********** Factor found in step 2: 88159482025362964272952814364092802446939
Found probable prime factor of 41 digits: 88159482025362964272952814364092802446939
Composite cofactor

37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291<134>

15619027230780187754907680627244202222581368965588727<53>
2413987671648900249831505060459913959472541971106083939424500296783390869065999933<82>

Number: 12229_220
N = 37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291 (134 digits)
Divisors found:
r1=15619027230780187754907680627244202222581368965588727 (pp53)
r2=2413987671648900249831505060459913959472541971106083939424500296783390869065999933 (pp82)
Version: Msieve v. 1.51 (SVN 845)
Total time: 143.01 hours.
Factorization parameters were as follows:
# Murphy_E = 5.134e-11, selected by Erik Branger
# expecting poly E from 5.04e-011 to > 5.80e-011
n: 37704139178251835623590655257654318325346806481205524787713199624261730268115798148897291978515201621076546804254197379910898287555291
Y0: -93700807238055667907343521
Y1: 194093139009517
c0: -1209914990523613168972401706719120
c1: 5546503287945933720863514156
c2: -4597865264280565378885
c3: -7627322266087862
c4: 10821750834
c5: 5220
skew: 950998.25
type: gnfs
# selected mechanically
rlim: 12200000
alim: 12200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19871874
Relations: 3142338 relations
Pruned matrix : 1841554 x 1841792
Polynomial selection time: 0.00 hours.
Total sieving time: 139.19 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.37 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: gnfs,133,5,65,2000,1e-05,0.28,250,20,50000,3600,12200000,12200000,28,28,54,54,2.6,2.6,100000
total time: 143.01 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

42973427408695682484033934997490954134821111482401436685238781650972074507583986819348877930250145300487558995694272430652618890426070040194175003992438203<155>

69050780675682412484435070820389293112888619<44>
10041010873080624648520899654065922027370901255941082941<56>
61980341173071537090506645094291119967772461545423713157<56>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=869323492
Step 1 took 25257ms
Step 2 took 12885ms
********** Factor found in step 2: 69050780675682412484435070820389293112888619
Found probable prime factor of 44 digits: 69050780675682412484435070820389293112888619
Composite cofactor 622345279636058021954884346503211075761100942364579282592719437451088093019511506454268037285668065103929954737 has 111 digits

N = 622345279636058021954884346503211075761100942364579282592719437451088093019511506454268037285668065103929954737 (111 digits)
Divisors found:
r1=10041010873080624648520899654065922027370901255941082941 (pp56)
r2=61980341173071537090506645094291119967772461545423713157 (pp56)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 3.86 hours.
Factorization parameters were as follows:
n: 622345279636058021954884346503211075761100942364579282592719437451088093019511506454268037285668065103929954737
Y0: -2572874857500576789703
Y1: 398853191639
c0: -42874649872710046382323856
c1: 13303658240680772722820
c2: -42194515609663047
c3: -53392188576478
c4: -81397064
c5: 5520
skew: 34730.14  
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 8340476
Relations: 570506 relations
Pruned matrix : 349824 x 350049
Polynomial selection time: 0.00 hours.
Total sieving time: 3.72 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.09 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,110,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 3.86 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

1077243703560745507695020367117794347959871181298245719651907673454186381893525710953506770212105099711210787259326802871320414628798319319475804366674922985404060287920448850116514339580323<190>

176940410187366047556413495277442801441279215467260681156808857079018861527267804260591244765003929858646941009019271550187708352512642334907990233133731662850443448774272938412583292545773847737<195>

4581320334290300712176305287864890781671<40>

38622143241763982677128845120420340940243593642490507547352363301874892997022968312422580313937951545711608500737613162700745667107683123283886822279025247<155>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 176940410187366047556413495277442801441279215467260681156808857079018861527267804260591244765003929858646941009019271550187708352512642334907990233133731662850443448774272938412583292545773847737 (195 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:95879735
Step 1 took 34930ms
Step 2 took 13224ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:807366551
Step 1 took 32581ms
Step 2 took 12932ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3638053889
Step 1 took 33072ms
Step 2 took 12967ms
Run 7 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3983282356
Step 1 took 32549ms
Step 2 took 12960ms
** Factor found in step 2: 4581320334290300712176305287864890781671
Found prime factor of 40 digits: 4581320334290300712176305287864890781671
Composite cofactor 38622143241763982677128845120420340940243593642490507547352363301874892997022968312422580313937951545711608500737613162700745667107683123283886822279025247 has 155 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

474276059942474713923598037661315532176864637093279945454784180997153255878865962504420291284443917004774831163531135249630322713294406820615237627939969611992250755368824615666548013445618728859<195>

18816082342208500844163907381370779<35>

25205887778167933415177297788085436215914922136308820677364774548795181179717250923020818282865623737249701729782108149344525725121496332951315232088662332907521<161>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1136670985
Step 1 took 19888ms
********** Factor found in step 1: 18816082342208500844163907381370779
Found probable prime factor of 35 digits: 18816082342208500844163907381370779

23461268893223616989890847460832060829965257157957421105235813432663925640876445832883342015770289302248669483917881783304152529157627597355125418510057811559330322080311716616327101680355729320181705339<203>

9707773617556103434421307513650803899171643767817089748976686915304036532163301710982452911830652688225432505164487694194988444776924782265493554019298794399084414261593181404297<178>

10707075645131390685503210894035408945753<41>
906669004619419177773059260306770030352757664095263571655931387949999010224330223036709892230236945376887389524277937265009407343573820849<138>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3172121472
Step 1 took 13915ms
Step 2 took 9672ms
********** Factor found in step 2: 10707075645131390685503210894035408945753
Found probable prime factor of 41 digits: 10707075645131390685503210894035408945753
Probable prime cofactor

2818967829369115571257140396264562741133133823628701023361594786263712472294606993345320966372601913229289882787864172476496159183918346519582735882238505122428418763647562081737647595704633131833917206870579<208>

183626087430061760465083520747873104696045611805715472674585174671208256986781197161894597046776498027157567418695053773567278140954684348356208623385076402564761781152031869924241<180>

984018125959009835785551368761449104604415087<45>
186608440013340639484350759090207704235233759915205397888600016785198707671002657215235074781027845698124890963868776672477891376236543<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3558382061
Step 1 took 13780ms
Step 2 took 5153ms
********** Factor found in step 2: 984018125959009835785551368761449104604415087
Found probable prime factor of 45 digits: 984018125959009835785551368761449104604415087
Probable prime cofactor

1222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229<235>

12249487083111236411720736461306025149<38>

99777420387449486484557558107969396426793680439764053864148325641145835836655093553182246704546939299964927426943241355473276844513406248931019121461336690141983255071137230632775067834001817940921<197>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4083575183
Step 1 took 15881ms
Step 2 took 8580ms
********** Factor found in step 2: 12249487083111236411720736461306025149
Found probable prime factor of 38 digits: 12249487083111236411720736461306025149
Composite cofactor 99777420387449486484557558107969396426793680439764053864148325641145835836655093553182246704546939299964927426943241355473276844513406248931019121461336690141983255071137230632775067834001817940921 has 197 digits

GMP-ECM 6.3

99777420387449486484557558107969396426793680439764053864148325641145835836655093553182246704546939299964927426943241355473276844513406248931019121461336690141983255071137230632775067834001817940921<197>

5777226897360077592506731930096785086827<40>

17270815593731154919003195908093607489803809659829471765540822866170969574704368261687311918419315315916612466692781951300246739807764511611335653342870895723<158>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 99777420387449486484557558107969396426793680439764053864148325641145835836655093553182246704546939299964927426943241355473276844513406248931019121461336690141983255071137230632775067834001817940921 (197 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3893896555
Step 1 took 36017ms
Step 2 took 12921ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:742867708
Step 1 took 32876ms
Step 2 took 12927ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:467760228
Step 1 took 35311ms
Step 2 took 13064ms
Run 9 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:365105610
Step 1 took 32828ms
Step 2 took 12917ms
** Factor found in step 2: 5777226897360077592506731930096785086827
Found prime factor of 40 digits: 5777226897360077592506731930096785086827
Composite cofactor 17270815593731154919003195908093607489803809659829471765540822866170969574704368261687311918419315315916612466692781951300246739807764511611335653342870895723 has 158 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

3837724566310568409298664448779072803975211752054715624380132177965383499381732738192524530364913325834382761794152266549050778690443808008713770058051168191897110693698048110907975183<184>

982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043<207>

229546838843595702378553145427825824319886064531<48>

4279136146394849327977679905159696050123968164736397852549218768421319534152619764320567169608010786082920163870623082707278198803757002878816718004999243559953<160>

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
WorkUnit(uid=604,
         n='982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043',
         params=(),
         B1='10000000000',
         B2='8e15',
         resume_line='METHOD=P-1; B1=10000000000; '
                     'N=982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043; '
                     'X=0x5dfd96a9fa3dd5b0fceb0345e0b6f15a7a66b71823919e3332ae465cfc962159c8fcf3f1ee917cc5ff8fb2bb6c1887e09fb2bd45d3c8da28392348df0317cdf3059b927f7e17785c47890ef5c39c8df1cc4a97115342; '
                     'CHECKSUM=1201167970; PROGRAM=GMP-ECM 7.0.6-dev; X0=0x3; '
                     'WHO=five@five; TIME=Wed Nov 22 12:58:40 2023;\n')
------------------------------------ result ------------------------------------
EcmOutput(factors=(229546838843595702378553145427825824319886064531,),
          exit_status=6,
          resume_line='',
          using='Using B1=10000000000-10000000000, B2=8344913552924776, '
                'polynomial x^1',
          version='GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, '
                  '--enable-asm-redc, --enable-assert] [ECM]',
          output='OMMITTED<1928>',
          timings=(('0',), ('556597',)),
          runtime=0)
------------------------------------ output ------------------------------------
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Wed Nov 22 12:58:40 2023
Input number is 982262175386303625715119492756782807387017894200858602706301299778168823182497037528157874295786538346560401498245369658323098117289167954404886437154782332424271576720313647847959126267403232297311525327043 (207 digits)
Using mpz_mod
Using lmax = 33554432 with NTT which takes about 9984MB of memory
Using B1=10000000000-10000000000, B2=8344913552924776, polynomial x^1
P = 240705465, l = 33554432, s_1 = 16220160, k = s_2 = 5, m_1 = 16
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.81    0.55    0.3     0.14    0.055   0.019   0.0063  0.0018  0.0005  0.00013
Step 1 took 0ms      
Computing F from factored S_1 took 94172ms
Computing h took 11413ms
Computing DCT-I of h took 27748ms
Multi-point evaluation 1 of 5:
Computing g_i took 37066ms
Computing g*h took 54930ms
Computing gcd of coefficients and N took 13415ms 
Multi-point evaluation 2 of 5:
Computing g_i took 36724ms
Computing g*h took 54685ms 
Computing gcd of coefficients and N took 13509ms
Multi-point evaluation 3 of 5:
Computing g_i took 37200ms
Computing g*h took 54740ms
Computing gcd of coefficients and N took 13456ms
Multi-point evaluation 4 of 5:
Computing g_i took 37307ms
Computing g*h took 55028ms
Computing gcd of coefficients and N took 13799ms 
Step 2 took 556597ms
********** Factor found in step 2: 229546838843595702378553145427825824319886064531
Found prime factor of 48 digits: 229546838843595702378553145427825824319886064531
Composite cofactor 4279136146394849327977679905159696050123968164736397852549218768421319534152619764320567169608010786082920163870623082707278198803757002878816718004999243559953 has 160 digits
Peak memory usage: 10392MB
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

gmp-ecm + ecm-db

1080 TI for stage 1

1033726272568287334340836353241094135177793019869500846487765191227983275416380078711340503042071150583370847804786127379986969149841294582661242628392646019073583583541806745064664124895944198082272282299686085822316332657<223>

226075965859349870003591838304170831757<39>

4572473100530315860003910207175363132110005888179824785136332792902140422723704524425432750222650816900015935497085691474871065778590816836584293390502895897542005155729447342724003701<184>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1385446605
Step 1 took 20043ms
Step 2 took 14397ms
********** Factor found in step 2: 226075965859349870003591838304170831757
Found probable prime factor of 39 digits: 226075965859349870003591838304170831757
Composite cofactor 

4572473100530315860003910207175363132110005888179824785136332792902140422723704524425432750222650816900015935497085691474871065778590816836584293390502895897542005155729447342724003701<184>

6465026810855829281081069699013898272887297<43>

707262821068644513217937133002501098453208546810916290056222609494426194793235805540479462416423296737724650855332410834431302288681185295733<141>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 4572473100530315860003910207175363132110005888179824785136332792902140422723704524425432750222650816900015935497085691474871065778590816836584293390502895897542005155729447342724003701 (184 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3760792690
Step 1 took 32006ms
Step 2 took 12225ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4214081644
Step 1 took 28716ms
Step 2 took 12211ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:749691689
Step 1 took 27882ms
Step 2 took 12246ms
Run 75 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:671920951
Step 1 took 30700ms
Step 2 took 12297ms
** Factor found in step 2: 6465026810855829281081069699013898272887297
Found prime factor of 43 digits: 6465026810855829281081069699013898272887297
Composite cofactor 707262821068644513217937133002501098453208546810916290056222609494426194793235805540479462416423296737724650855332410834431302288681185295733 has 141 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

383127206733367829366022669815824140735164055495268846728066210255804217272026157514777074972599378374124908786342561956722600703330353373406789508720104378337286785067568215788102283062546523437<195>

34350835187271798397514278679<29>
11153359289363946380727414106881989063879205954328335842316027141562267408234542102944030900544478448863005657850567468617153957588604679764032570427215573577405120603<167>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2829913336
Step 1 took 9688ms
Step 2 took 5803ms
********** Factor found in step 2: 34350835187271798397514278679
Found probable prime factor of 29 digits: 34350835187271798397514278679
Probable prime cofactor 11153359289363946380727414106881989063879205954328335842316027141562267408234542102944030900544478448863005657850567468617153957588604679764032570427215573577405120603 has 167 digits

GMP-ECM 6.3

163464253339871903466928209472010461712213751801821883405406208669549581680115316600537945997354851173227527380262434428543830710475086561752336795803426805165470405539952149554931419315530590105954556937571515610836193957766781091644004577<240>

136877935512026593682728868424289544352834015219928095301941620774594604457863367184769017850364085219516338881126548911350645547694230055979814291167355237475762849870137416283003739431545270877944140755924115938163530727<222>

2722645341975718526606029251131797418950680292701690286764707179977358842705420768782657792093288577429845385230731593072339120225170353586235389060832728953713708208395501010445093969112781113945258680369251586721754009274032477267527037<238>

7100275346895979152291354016302215112883158329990406787548985955768000000857606634199638399342048496006821775486459827182297132939825859308581323618105037958406021642393602161081244963940597766607<196>

125889989012136709788762129891541500431380565498537<51>

56400635210250602300415670728465985516719771548612279670204542961795770152061784102318914252675468476268914692125993004395618426575597075437917111<146>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 7100275346895979152291354016302215112883158329990406787548985955768000000857606634199638399342048496006821775486459827182297132939825859308581323618105037958406021642393602161081244963940597766607 (196 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3719234746
Step 1 took 33465ms
Step 2 took 13203ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3932228031
Step 1 took 32549ms
Step 2 took 12972ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3977870743
Step 1 took 32768ms
Step 2 took 12891ms
Run 41 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:668011570
Step 1 took 32855ms
Step 2 took 13177ms
** Factor found in step 2: 125889989012136709788762129891541500431380565498537
Found prime factor of 51 digits: 125889989012136709788762129891541500431380565498537
Composite cofactor 56400635210250602300415670728465985516719771548612279670204542961795770152061784102318914252675468476268914692125993004395618426575597075437917111 has 146 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

100569493133200740759037279677375214353049398760029035423183074610614907117634156770779519114832726019429806855770108936128300528608124193638744200629290605394740682816588252748017479398822896312372395774569904137324370664853691<228>

207849014051816238989745598825673006248112102434702603614580877637801025550774169984104614636005529601764228245292406133516162893762815109897535444461893585979321633994943<171>

15954088360128959668724301286821355371959645209830701679698708180980531726330554342246162466537511387589645725779165047467883679548392656877402428122322112582827566610002242129793223515565887931475807553752505719924679490037563<227>

8018898712964236393414215240891694552039471<43>
1989561027168957776381678274877836893936634681030080777741073560164709539459875297938147227840659700942240384026434811579503767240986165187720669983153356365364577675233679209325353653<184>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 15954088360128959668724301286821355371959645209830701679698708180980531726330554342246162466537511387589645725779165047467883679548392656877402428122322112582827566610002242129793223515565887931475807553752505719924679490037563 (227 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2646105129
Step 1 took 37988ms
Step 2 took 14748ms
Run 2 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1393561003
Step 1 took 39881ms
Step 2 took 15665ms
Run 3 out of 0:
...
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:437090971
Step 1 took 38082ms
Step 2 took 15476ms
Run 28 out of 0:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2653913837
Step 1 took 37929ms
Step 2 took 14574ms
** Factor found in step 2: 8018898712964236393414215240891694552039471
Found prime factor of 43 digits: 8018898712964236393414215240891694552039471
Prime cofactor 1989561027168957776381678274877836893936634681030080777741073560164709539459875297938147227840659700942240384026434811579503767240986165187720669983153356365364577675233679209325353653 has 184 digits

2x Xeon E5-2698v4, 128GB DDR4, Ubuntu Server 24.04

947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714900947459086993970714901<252>

66074126009037102463683864196903571595530969028985355910276949261642036799317121248393231844137281561514060019092076819315381027358490584125386175664281934290954213558877373565634652111351417668352860054478324162977642602603492564475901903664509<245>

5754672254778753981570594685320291503461030453266467756878091921047690432445330925906136353878242358675093782524752158473315066013220585716087884011816263164746795558420036969891182665260181199141019135083373260564891146058323237547613<235>

646526895285452945039410749715878708913<39>

8900901566110355573094125168784761321850428943833240804951269860872978206950416117603347055275575072483772675663130621510015762571793110970107575969691663411528491113246238664520754758303766209901<196>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3848595101 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 5754672254778753981570594685320291503461030453266467756878091921047690432445330925906136353878242358675093782524752158473315066013220585716087884011816263164746795558420036969891182665260181199141019135083373260564891146058323237547613 (235 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3848595101
Step 1 took 11015ms
Step 2 took 7360ms
********** Factor found in step 2: 646526895285452945039410749715878708913
Found probable prime factor of 39 digits: 646526895285452945039410749715878708913
Composite cofactor 8900901566110355573094125168784761321850428943833240804951269860872978206950416117603347055275575072483772675663130621510015762571793110970107575969691663411528491113246238664520754758303766209901 has 196 digits

8623331591217632062370707592384178619516313964307174214994796032627292855531945107197947255338335903509405240738506841518977957695618633389462681929843530211292163888818014114253187671606487786145569037310019222576312479199875503<229>

8283365295626947608481045454359445909479216678719814446464296801817415509505236541050524328459222709432913648006067494867285437483807055267028542380498286428669415655878722225006681939171531449484550979<202>

107247005543597621454320003628070503619<39>
77236331715197654221138768116651355261695456344584509300570015563280550352312733412256548824320970105436002655937372840978812819625165108340942237485098906078445441<164>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=0:17912363182962300174
Step 1 took 18610ms
Step 2 took 6656ms
********** Factor found in step 2: 107247005543597621454320003628070503619
Found prime factor of 39 digits: 107247005543597621454320003628070503619
Prime cofactor 77236331715197654221138768116651355261695456344584509300570015563280550352312733412256548824320970105436002655937372840978812819625165108340942237485098906078445441 has 164 digits

GMP-ECM 7.0.5

4423035433383291210513105320228300361381234279215259479012545237874404188456871884714471452641639455580972000599250364259480053554034019125037581469357749952389657495383878057817084177938637179751330433277664880059319864545758990781163587510524280823209<253>

133027516420315271720059731431<30>

33249026610466195251721529966684422418596750995884844306884261721067660766612080473540176833382963137733030887729999325138533964522972645620143240413937486166301794916820791432627987417279191644366738114501225910955259475439<224>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2237441135
Step 1 took 54194ms
Step 2 took 16713ms
********** Factor found in step 2: 133027516420315271720059731431
Found probable prime factor of 30 digits: 133027516420315271720059731431

1906938711723240549918725314845794990674936640022782957477031504437954285033263269075210661829550435605982350634675852037775008777979275872340006305584643832133639842801714796004942027975322819949840577748122906483988834535912893179187243<238>

1464514736714838914135268605839467893159645432181551496421680014957790947807305096344107380092154475595285134698682243395045471684664610555969495256959730450534748212356703440836565604454782943449008215705545998403937971195133<226>

17594277564528279894943181300599<32>
83238128496246899629621204491916706532845500104056209253190931020542645926350533884349278478469670730442054076309054904469792718486231125492280453760572745911939864532120782042630407849442945067<194>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3878500217
Step 1 took 42969ms
Step 2 took 13825ms
********** Factor found in step 2: 17594277564528279894943181300599
Found probable prime factor of 32 digits: 17594277564528279894943181300599

326081420387009388640172231524823924614929015781867375892141882516802136270803629683022994192802614811268556333230511897124814104278660252808729029589020603129952121381280701695057556966697357644737233244077947048478316457347022408408592968117342389<249>

69534406520230095808579637418898711792597733020900837076371237753694226560375943397774165320442479205944640321925742893063070329679636240221501727277185500078398670796156190651396527368114690789358312038069288506643163505785294905881763<236>

23038127992825507937296090605402478717<38>

3018231626366707167151319303702767871913176352598701709862405241391900562474319699109293153301965422477073761329873649128159563342288071083725509199670661072172256552501701574696310026233589439425439<199>

Resuming ECM residue saved by @746e5c169655 with GMP-ECM 7.0.5-dev on Fri Sep 29 10:16:31 2023 
Input number is 69534406520230095808579637418898711792597733020900837076371237753694226560375943397774165320442479205944640321925742893063070329679636240221501727277185500078398670796156190651396527368114690789358312038069288506643163505785294905881763 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1271052926
Step 1 took 0ms
Step 2 took 5439ms
********** Factor found in step 2: 23038127992825507937296090605402478717
Found prime factor of 38 digits: 23038127992825507937296090605402478717
Composite cofactor 3018231626366707167151319303702767871913176352598701709862405241391900562474319699109293153301965422477073761329873649128159563342288071083725509199670661072172256552501701574696310026233589439425439 has 199 digits