19838135141191171779982639129717270529561053960298031640271697900492627494930363552518843950035039632511<104>

971722182165766413416910057805321<33>
2903609920526649428880059207607911<34>
7031054367157515839501298639415675681<37>

Number: 54449_111
N=19838135141191171779982639129717270529561053960298031640271697900492627494930363552518843950035039632511
  ( 104 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=971722182165766413416910057805321 (pp33)
 r2=2903609920526649428880059207607911 (pp34)
 r3=7031054367157515839501298639415675681 (pp37)
Version: Msieve-1.39
Total time: 0.94 hours.
Scaled time: 1.12 units (timescale=1.190).
Factorization parameters were as follows:
n: 19838135141191171779982639129717270529561053960298031640271697900492627494930363552518843950035039632511
m: 10000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 465001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 58703 x 58941
Total sieving time: 0.94 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,112,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 0.94 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

11354661865653982362261839676089086822686511351795352067983241640600745659167261885722919030896288159<101>

10186924979578406583472433052629<32>
16338425213924652585496712373192443<35>
68221443328719721898218651146386297<35>

Number: 54449_115
N=11354661865653982362261839676089086822686511351795352067983241640600745659167261885722919030896288159
  ( 101 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=10186924979578406583472433052629 (pp32)
 r2=16338425213924652585496712373192443 (pp35)
 r3=68221443328719721898218651146386297 (pp35)
Version: Msieve-1.39
Total time: 1.04 hours.
Scaled time: 1.24 units (timescale=1.193).
Factorization parameters were as follows:
n: 11354661865653982362261839676089086822686511351795352067983241640600745659167261885722919030896288159
m: 100000000000000000000000
deg: 5
c5: 49
c0: 41
skew: 0.96
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 510001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64279 x 64517
Total sieving time: 1.04 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 1.04 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

18007503067777487071137242913972238984183195788228068696022682661075151599635220265841495705393<95>

336604968389700345229006632632467724043359<42>
53497436933044664478816389244926048170274046484553327<53>

Thu Mar 26 12:17:04 2009  
Thu Mar 26 12:17:04 2009  
Thu Mar 26 12:17:04 2009  Msieve v. 1.39
Thu Mar 26 12:17:04 2009  random seeds: 51e810a4 dba85ca5
Thu Mar 26 12:17:04 2009  factoring 18007503067777487071137242913972238984183195788228068696022682661075151599635220265841495705393 (95 digits)
Thu Mar 26 12:17:04 2009  searching for 15-digit factors
Thu Mar 26 12:17:05 2009  commencing quadratic sieve (95-digit input)
Thu Mar 26 12:17:05 2009  using multiplier of 17
Thu Mar 26 12:17:05 2009  using 64kb Opteron sieve core
Thu Mar 26 12:17:05 2009  sieve interval: 18 blocks of size 65536
Thu Mar 26 12:17:05 2009  processing polynomials in batches of 6
Thu Mar 26 12:17:05 2009  using a sieve bound of 2117273 (78824 primes)
Thu Mar 26 12:17:05 2009  using large prime bound of 309121858 (28 bits)
Thu Mar 26 12:17:05 2009  using double large prime bound of 1915285337885478 (43-51 bits)
Thu Mar 26 12:17:05 2009  using trial factoring cutoff of 51 bits
Thu Mar 26 12:17:05 2009  polynomial 'A' values have 12 factors
Thu Mar 26 14:53:41 2009  78965 relations (19422 full + 59543 combined from 1158503 partial), need 78920
Thu Mar 26 14:53:43 2009  begin with 1177925 relations
Thu Mar 26 14:53:44 2009  reduce to 204547 relations in 11 passes
Thu Mar 26 14:53:44 2009  attempting to read 204547 relations
Thu Mar 26 14:53:47 2009  recovered 204547 relations
Thu Mar 26 14:53:47 2009  recovered 189076 polynomials
Thu Mar 26 14:53:47 2009  attempting to build 78965 cycles
Thu Mar 26 14:53:47 2009  found 78965 cycles in 5 passes
Thu Mar 26 14:53:48 2009  distribution of cycle lengths:
Thu Mar 26 14:53:48 2009     length 1 : 19422
Thu Mar 26 14:53:48 2009     length 2 : 13884
Thu Mar 26 14:53:48 2009     length 3 : 13302
Thu Mar 26 14:53:48 2009     length 4 : 10834
Thu Mar 26 14:53:48 2009     length 5 : 8180
Thu Mar 26 14:53:48 2009     length 6 : 5355
Thu Mar 26 14:53:48 2009     length 7 : 3494
Thu Mar 26 14:53:48 2009     length 9+: 4494
Thu Mar 26 14:53:48 2009  largest cycle: 20 relations
Thu Mar 26 14:53:48 2009  matrix is 78824 x 78965 (21.3 MB) with weight 5257190 (66.58/col)
Thu Mar 26 14:53:48 2009  sparse part has weight 5257190 (66.58/col)
Thu Mar 26 14:53:49 2009  filtering completed in 4 passes
Thu Mar 26 14:53:49 2009  matrix is 75072 x 75136 (20.4 MB) with weight 5039369 (67.07/col)
Thu Mar 26 14:53:49 2009  sparse part has weight 5039369 (67.07/col)
Thu Mar 26 14:53:49 2009  saving the first 48 matrix rows for later
Thu Mar 26 14:53:49 2009  matrix is 75024 x 75136 (13.8 MB) with weight 4076805 (54.26/col)
Thu Mar 26 14:53:49 2009  sparse part has weight 3163131 (42.10/col)
Thu Mar 26 14:53:49 2009  matrix includes 64 packed rows
Thu Mar 26 14:53:49 2009  using block size 30054 for processor cache size 1024 kB
Thu Mar 26 14:53:50 2009  commencing Lanczos iteration
Thu Mar 26 14:53:50 2009  memory use: 12.7 MB
Thu Mar 26 14:54:31 2009  lanczos halted after 1188 iterations (dim = 75022)
Thu Mar 26 14:54:32 2009  recovered 16 nontrivial dependencies
Thu Mar 26 14:54:33 2009  prp42 factor: 336604968389700345229006632632467724043359
Thu Mar 26 14:54:33 2009  prp53 factor: 53497436933044664478816389244926048170274046484553327
Thu Mar 26 14:54:33 2009  elapsed time 02:37:29

672203241507509203306318147571058464803415911356671337559948980034010718106973978089196178664520519414524572509<111>

194427825632112280839477791635994595997<39>
3457340734650925945845897206191168163665361420064678013468291084068546497<73>

Number: 54449_122
N=672203241507509203306318147571058464803415911356671337559948980034010718106973978089196178664520519414524572509
  ( 111 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=194427825632112280839477791635994595997 (pp39)
 r2=3457340734650925945845897206191168163665361420064678013468291084068546497 (pp73)
Version: Msieve-1.39
Total time: 1.69 hours.
Scaled time: 2.02 units (timescale=1.194).
Factorization parameters were as follows:
n: 672203241507509203306318147571058464803415911356671337559948980034010718106973978089196178664520519414524572509
m: 2000000000000000000000000
deg: 5
c5: 1225
c0: 328
skew: 0.77
type: snfs
lss: 1
rlim: 830000
alim: 830000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 830000/830000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [415000, 765001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92849 x 93096
Total sieving time: 1.69 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,830000,830000,25,25,46,46,2.2,2.2,50000
total time: 1.69 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2282694918428068381348693425024345271947221342778726134596358771658935004775994118288821273088756202549399<106>

37428052363683529029244596049442228725609<41>
60988877974397866287182423059627153170887298299087679623642765311<65>

Number: 54449_124
N=2282694918428068381348693425024345271947221342778726134596358771658935004775994118288821273088756202549399
  ( 106 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=37428052363683529029244596049442228725609 (pp41)
 r2=60988877974397866287182423059627153170887298299087679623642765311 (pp65)
Version: Msieve-1.39
Total time: 1.93 hours.
Scaled time: 3.35 units (timescale=1.739).
Factorization parameters were as follows:
n: 2282694918428068381348693425024345271947221342778726134596358771658935004775994118288821273088756202549399
m: 10000000000000000000000000
deg: 5
c5: 49
c0: 410
skew: 1.53
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130255 x 130496
Total sieving time: 1.93 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 1.93 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

16970215478228041594814063236791347986814014122707645679199223191602665685124329148314728537601692084669963<107>

74576531666662530089711767310951<32>
227554367291850453101197310205051455465156475107583107302535931180466407613<75>

SNFS difficulty: 126 digits.
Divisors found:
 r1=74576531666662530089711767310951 (pp32)
 r2=227554367291850453101197310205051455465156475107583107302535931180466407613 (pp75)
Version: Msieve-1.39
Total time: 1.26 hours.
Scaled time: 3.56 units (timescale=2.838).
Factorization parameters were as follows:
n: 16970215478228041594814063236791347986814014122707645679199223191602665685124329148314728537601692084669963
m: 10000000000000000000000000
deg: 5
c5: 49
c0: 41
skew: 0.96
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved  special-q in [450000, 450000)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 112947 x 113192
Total sieving time: 1.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 1.26 hours.

Msieve-1.40

Phenom II X4 940/openSUSE/x86_64

5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<127>

89509726479899433582217775103987526302712114761893<50>
60825171280878227682314694429796797662398614282260359785768606811199736018893<77>

Number: 54449_126
N=5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
  ( 127 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=89509726479899433582217775103987526302712114761893
 r2=60825171280878227682314694429796797662398614282260359785768606811199736018893
Version: 
Total time: 3.13 hours.
Scaled time: 2.97 units (timescale=0.948).
Factorization parameters were as follows:
n: 5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
m: 10000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [500000, 900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 149326 x 149573
Total sieving time: 3.13 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,1000000,1000000,26,26,46,46,2.3,2.3,50000
total time: 3.13 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

52858683926645091693635382955771305285868392664509169363538295577130528586839266450916936353829557713052858683926645091693635383<128>

1933030102714732371359649944976571<34>
67460989330069140041565000686446989847<38>
405345188912107832212622449426391920980159997852887421459<57>

Number: 54449_129
N=52858683926645091693635382955771305285868392664509169363538295577130528586839266450916936353829557713052858683926645091693635383
  ( 128 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1933030102714732371359649944976571 (pp34)
 r2=67460989330069140041565000686446989847 (pp38)
 r3=405345188912107832212622449426391920980159997852887421459 (pp57)
Version: Msieve-1.39
Total time: 2.74 hours.
Scaled time: 4.75 units (timescale=1.735).
Factorization parameters were as follows:
n: 52858683926645091693635382955771305285868392664509169363538295577130528586839266450916936353829557713052858683926645091693635383
m: 100000000000000000000000000
deg: 5
c5: 49
c0: 410
skew: 1.53
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168168 x 168416
Total sieving time: 2.74 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.74 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

55503195729115988344309084736747369696542559541433720850677021062175206889975474460757689960075441138258614086125653057<119>

91157362108708740542600653<26>
608872332910711521932266724140424623918336615769247686425689983577184398681484932263575936069<93>

Number: 54449_130
N=55503195729115988344309084736747369696542559541433720850677021062175206889975474460757689960075441138258614086125653057
  ( 119 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=91157362108708740542600653 (pp26)
 r2=608872332910711521932266724140424623918336615769247686425689983577184398681484932263575936069 (pp93)
Version: Msieve-1.39
Total time: 2.09 hours.
Scaled time: 3.63 units (timescale=1.735).
Factorization parameters were as follows:
n: 55503195729115988344309084736747369696542559541433720850677021062175206889975474460757689960075441138258614086125653057
m: 100000000000000000000000000
deg: 5
c5: 49
c0: 41
skew: 0.96
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 164089 x 164337
Total sieving time: 2.09 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.09 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

9463496974577957004822520805208399722661598867470484511731839259606897923631510741069066145981200473561113911533685220914714579<127>

495966937574525418753568714951542682334528456989<48>
19080902894169119340618115193581337119237563669324766720592482700362221956219311<80>

Number: 54449_131
N=9463496974577957004822520805208399722661598867470484511731839259606897923631510741069066145981200473561113911533685220914714579
  ( 127 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=495966937574525418753568714951542682334528456989 (pp48)
 r2=19080902894169119340618115193581337119237563669324766720592482700362221956219311 (pp80)
Version: Msieve-1.39
Total time: 2.75 hours.
Scaled time: 4.78 units (timescale=1.735).
Factorization parameters were as follows:
n: 9463496974577957004822520805208399722661598867470484511731839259606897923631510741069066145981200473561113911533685220914714579
m: 100000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 1140000
alim: 1140000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1140000/1140000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [570000, 1120001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 191855 x 192103
Total sieving time: 2.75 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,50000
total time: 2.75 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

41891571807718584945127829778318507717751879939979549720467854224774931298243603645127428540871<95>

31123736301946053601072239401392732729<38>
1345968600983785417249315598989980743105211831323133158399<58>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 41891571807718584945127829778318507717751879939979549720467854224774931298243603645127428540871 (95 digits)
Using B1=1538000, B2=2140123450, polynomial Dickson(6), sigma=100538867
Step 1 took 9438ms
Step 2 took 5125ms
********** Factor found in step 2: 31123736301946053601072239401392732729
Found probable prime factor of 38 digits: 31123736301946053601072239401392732729
Probable prime cofactor 1345968600983785417249315598989980743105211831323133158399 has 58 digits

5881435070157118336874197304142210699410656200112827529917299821156362152365177103213184016900123630165760445548713886188229928102457<133>

71304781245914521607230391735935498351049913551<47>
82483039249126102767427949027373155037745463880624218563063734706630914560237529727607<86>

Number: 54449_136
N=5881435070157118336874197304142210699410656200112827529917299821156362152365177103213184016900123630165760445548713886188229928102457
  ( 133 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=71304781245914521607230391735935498351049913551
 r2=82483039249126102767427949027373155037745463880624218563063734706630914560237529727607
Version: 
Total time: 8.16 hours.
Scaled time: 6.41 units (timescale=0.786).
Factorization parameters were as follows:
n: 5881435070157118336874197304142210699410656200112827529917299821156362152365177103213184016900123630165760445548713886188229928102457
m: 1000000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 1380000
alim: 1380000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1380000/1380000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [690000, 1515001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 242546 x 242794
Total sieving time: 8.16 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1380000,1380000,26,26,48,48,2.3,2.3,75000
total time: 8.16 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

8105778732833997840998552688220217168092181072232097955983824590327356982459028278624705999411103235686078476339<112>

2425727394160925168973174009150207745849594329787<49>
3341586837971065273981699845466591967077869497074885030760101097<64>

Number: 54449_137
N=8105778732833997840998552688220217168092181072232097955983824590327356982459028278624705999411103235686078476339
  ( 112 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=2425727394160925168973174009150207745849594329787 (pp49)
 r2=3341586837971065273981699845466591967077869497074885030760101097 (pp64)
Version: Msieve-1.39
Total time: 3.99 hours.
Scaled time: 6.93 units (timescale=1.739).
Factorization parameters were as follows:
n: 8105778732833997840998552688220217168092181072232097955983824590327356982459028278624705999411103235686078476339
m: 2000000000000000000000000000
deg: 5
c5: 1225
c0: 328
skew: 0.77
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [740000, 1490001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 226080 x 226328
Total sieving time: 3.99 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1480000,1480000,26,26,48,48,2.3,2.3,75000
total time: 3.99 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

349100348920204677754729896469469518001250723946393823346871892322067135526799095817938294302315163602800668899519<114>

18533989362828478542555461551240462977930149887<47>
18835683030031066796183322332961649164918753989445572020809159395137<68>

Number: 54449_138
N=349100348920204677754729896469469518001250723946393823346871892322067135526799095817938294302315163602800668899519
  ( 114 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=18533989362828478542555461551240462977930149887 (pp47)
 r2=18835683030031066796183322332961649164918753989445572020809159395137 (pp68)
Version: Msieve-1.39
Total time: 5.77 hours.
Scaled time: 10.04 units (timescale=1.739).
Factorization parameters were as follows:
n: 349100348920204677754729896469469518001250723946393823346871892322067135526799095817938294302315163602800668899519
m: 5000000000000000000000000000
deg: 5
c5: 392
c0: 1025
skew: 1.21
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1885001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 267184 x 267432
Total sieving time: 5.77 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 5.77 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

38611998216553428634976880852884532742105214703709972979595744163625655295796044808871492594795432863440433187811<113>

48208737729702173551817182097623439690535527340379<50>
800933607368938839181048674491588864161303805763605741405443609<63>

Number: 54449_143
N=38611998216553428634976880852884532742105214703709972979595744163625655295796044808871492594795432863440433187811
  ( 113 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=48208737729702173551817182097623439690535527340379
 r2=800933607368938839181048674491588864161303805763605741405443609
Version: 
Total time: 16.54 hours.
Scaled time: 12.92 units (timescale=0.781).
Factorization parameters were as follows:
n: 38611998216553428634976880852884532742105214703709972979595744163625655295796044808871492594795432863440433187811
m: 50000000000000000000000000000
deg: 5
c5: 392
c0: 1025
skew: 1.21
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 2550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 321094 x 321333
Total sieving time: 16.54 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 16.54 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

321541706024672260551787816221255298649921458882378056825433992581094497126329589535485981556862183103890401989612491476535494248491<132>

34618114200346796804140356391786401986013866968419090798524170021<65>
9288250196524313420503337155642549167984865224535302935187999437071<67>

Number: 54449_144
N=321541706024672260551787816221255298649921458882378056825433992581094497126329589535485981556862183103890401989612491476535494248491
  ( 132 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=34618114200346796804140356391786401986013866968419090798524170021
 r2=9288250196524313420503337155642549167984865224535302935187999437071
Version: 
Total time: 13.63 hours.
Scaled time: 13.89 units (timescale=1.019).
Factorization parameters were as follows:
n: 321541706024672260551787816221255298649921458882378056825433992581094497126329589535485981556862183103890401989612491476535494248491
m: 100000000000000000000000000000
deg: 5
c5: 49
c0: 410
skew: 1.53
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 369163 x 369411
Total sieving time: 13.63 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 13.63 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

16167341545538294700472713844287897030163776178300163755670307640173965598426295954889076267540032446185900158239333122439271<125>

635631229052462147884290094903460557<36>
25435096336658932336705167917031068008789759084152689170327716094934210451817361767116803<89>

Number: 54449_146
N=16167341545538294700472713844287897030163776178300163755670307640173965598426295954889076267540032446185900158239333122439271
  ( 125 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=635631229052462147884290094903460557 (pp36)
 r2=25435096336658932336705167917031068008789759084152689170327716094934210451817361767116803 (pp89)
Version: Msieve-1.39
Total time: 12.37 hours.
Scaled time: 31.80 units (timescale=2.571).
Factorization parameters were as follows:
n: 16167341545538294700472713844287897030163776178300163755670307640173965598426295954889076267540032446185900158239333122439271
m: 100000000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 360372 x 360618
Total sieving time: 12.37 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 12.37 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

203522818590634280245075835535627462874181435936750438917137494088318261455309665736275011729733172064884678791543045626662602717314491<135>

131534588641078345566638760776333<33>
25803421214234640523206313517076073590238151873<47>
59964724923190813318774664569029690764738692093753141799<56>

Number: 54449_149
N=203522818590634280245075835535627462874181435936750438917137494088318261455309665736275011729733172064884678791543045626662602717314491
  ( 135 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=131534588641078345566638760776333
 r2=25803421214234640523206313517076073590238151873
 r3=59964724923190813318774664569029690764738692093753141799
Version: 
Total time: 21.59 hours.
Scaled time: 21.70 units (timescale=1.005).
Factorization parameters were as follows:
n: 203522818590634280245075835535627462874181435936750438917137494088318261455309665736275011729733172064884678791543045626662602717314491
m: 1000000000000000000000000000000
deg: 5
c5: 49
c0: 410
skew: 1.53
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 444856 x 445104
Total sieving time: 21.59 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 21.59 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

91273724425455878608183269099983069058428866640355708824581369879911159793711223544499072175584234280081660305868836764124980604793401<134>

71383023650434742673540327947729791872255675161503<50>
1278647495690664764624201577118918428375254439965018372226597323792892389586504540967<85>

Number: 54449_152
N=91273724425455878608183269099983069058428866640355708824581369879911159793711223544499072175584234280081660305868836764124980604793401
  ( 134 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=71383023650434742673540327947729791872255675161503 (pp50)
 r2=1278647495690664764624201577118918428375254439965018372226597323792892389586504540967 (pp85)
Version: Msieve-1.39
Total time: 14.99 hours.
Scaled time: 26.07 units (timescale=1.739).
Factorization parameters were as follows:
n: 91273724425455878608183269099983069058428866640355708824581369879911159793711223544499072175584234280081660305868836764124980604793401
m: 2000000000000000000000000000000
deg: 5
c5: 1225
c0: 328
skew: 0.77
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 418620 x 418868
Total sieving time: 14.99 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 14.99 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

172535978633108583271830002807599001693998076198225974666984044214182960439546361759597471<90>

85398388677124700509979518851635059<35>
2020365738813114803260409765581225522390963662391877669<55>

Thu Mar 26 03:57:27 2009  
Thu Mar 26 03:57:27 2009  
Thu Mar 26 03:57:27 2009  Msieve v. 1.39
Thu Mar 26 03:57:27 2009  random seeds: 3388a570 6268f5cc
Thu Mar 26 03:57:27 2009  factoring 172535978633108583271830002807599001693998076198225974666984044214182960439546361759597471 (90 digits)
Thu Mar 26 03:57:28 2009  searching for 15-digit factors
Thu Mar 26 03:57:29 2009  commencing quadratic sieve (90-digit input)
Thu Mar 26 03:57:29 2009  using multiplier of 21
Thu Mar 26 03:57:29 2009  using 64kb Opteron sieve core
Thu Mar 26 03:57:29 2009  sieve interval: 18 blocks of size 65536
Thu Mar 26 03:57:29 2009  processing polynomials in batches of 6
Thu Mar 26 03:57:29 2009  using a sieve bound of 1573577 (59667 primes)
Thu Mar 26 03:57:29 2009  using large prime bound of 125886160 (26 bits)
Thu Mar 26 03:57:29 2009  using double large prime bound of 380154676666640 (42-49 bits)
Thu Mar 26 03:57:29 2009  using trial factoring cutoff of 49 bits
Thu Mar 26 03:57:29 2009  polynomial 'A' values have 12 factors
Thu Mar 26 04:57:17 2009  60155 relations (15845 full + 44310 combined from 635792 partial), need 59763
Thu Mar 26 04:57:18 2009  begin with 651637 relations
Thu Mar 26 04:57:19 2009  reduce to 146951 relations in 10 passes
Thu Mar 26 04:57:19 2009  attempting to read 146951 relations
Thu Mar 26 04:57:20 2009  recovered 146951 relations
Thu Mar 26 04:57:20 2009  recovered 127740 polynomials
Thu Mar 26 04:57:20 2009  attempting to build 60155 cycles
Thu Mar 26 04:57:20 2009  found 60155 cycles in 5 passes
Thu Mar 26 04:57:21 2009  distribution of cycle lengths:
Thu Mar 26 04:57:21 2009     length 1 : 15845
Thu Mar 26 04:57:21 2009     length 2 : 11577
Thu Mar 26 04:57:21 2009     length 3 : 10639
Thu Mar 26 04:57:21 2009     length 4 : 8071
Thu Mar 26 04:57:21 2009     length 5 : 5683
Thu Mar 26 04:57:21 2009     length 6 : 3657
Thu Mar 26 04:57:21 2009     length 7 : 2161
Thu Mar 26 04:57:21 2009     length 9+: 2522
Thu Mar 26 04:57:21 2009  largest cycle: 18 relations
Thu Mar 26 04:57:21 2009  matrix is 59667 x 60155 (15.0 MB) with weight 3692255 (61.38/col)
Thu Mar 26 04:57:21 2009  sparse part has weight 3692255 (61.38/col)
Thu Mar 26 04:57:22 2009  filtering completed in 3 passes
Thu Mar 26 04:57:22 2009  matrix is 55810 x 55874 (13.9 MB) with weight 3430899 (61.40/col)
Thu Mar 26 04:57:22 2009  sparse part has weight 3430899 (61.40/col)
Thu Mar 26 04:57:22 2009  saving the first 48 matrix rows for later
Thu Mar 26 04:57:22 2009  matrix is 55762 x 55874 (8.9 MB) with weight 2702698 (48.37/col)
Thu Mar 26 04:57:22 2009  sparse part has weight 1988182 (35.58/col)
Thu Mar 26 04:57:22 2009  matrix includes 64 packed rows
Thu Mar 26 04:57:22 2009  using block size 22349 for processor cache size 1024 kB
Thu Mar 26 04:57:22 2009  commencing Lanczos iteration
Thu Mar 26 04:57:22 2009  memory use: 8.5 MB
Thu Mar 26 04:57:40 2009  lanczos halted after 883 iterations (dim = 55760)
Thu Mar 26 04:57:40 2009  recovered 18 nontrivial dependencies
Thu Mar 26 04:57:40 2009  prp35 factor: 85398388677124700509979518851635059
Thu Mar 26 04:57:40 2009  prp55 factor: 2020365738813114803260409765581225522390963662391877669
Thu Mar 26 04:57:40 2009  elapsed time 01:00:13

453569855481298226564723037610642262164563210989868695838728271565250333688282786216554526112637497339<102>

145182403511774248585192727630916578243588995294079<51>
3124137943097999819298035626042740374316930537111941<52>

03/26/09 16:03:31 v1.08 @ LAPPIE, 
03/26/09 16:03:31 v1.08 @ LAPPIE, ****************************
03/26/09 16:03:31 v1.08 @ LAPPIE, Starting factorization of 453569855481298226564723037610642262164563210989868695838728271565250333688282786216554526112637497339
03/26/09 16:03:31 v1.08 @ LAPPIE, ****************************
03/26/09 16:03:32 v1.08 @ LAPPIE, Rho method, input has 338 bits, 1000 max iterations per poly
03/26/09 16:03:32 v1.08 @ LAPPIE, poly x^2 + 1: 0.0780 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, poly x^2 + 3: 0.1360 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, poly x^2 + 2: 0.1960 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, Williams P+1 method, input has 338 bits, B1 = 20000, B2 = 1000000
03/26/09 16:03:32 v1.08 @ LAPPIE, base 752376243: 0.1660 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, base 352856595: 0.3250 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, base 2326730079: 0.4830 sec
03/26/09 16:03:32 v1.08 @ LAPPIE, Pollard P-1 method, input has 338 bits, B1 = 100000, B2 = 5000000
03/26/09 16:03:33 v1.08 @ LAPPIE, base 2045834211: 0.4800 sec
03/26/09 16:03:33 v1.08 @ LAPPIE, 25 curves using Lenstra ECM method, input has 338 bits, B1 = 2000, B2 = 200000
03/26/09 16:03:35 v1.08 @ LAPPIE, 90 curves using Lenstra ECM method, input has 338 bits, B1 = 11000, B2 = 1100000
03/26/09 16:04:12 v1.08 @ LAPPIE, 200 curves using Lenstra ECM method, input has 338 bits, B1 = 50000, B2 = 5000000
03/26/09 16:08:48 v1.08 @ LAPPIE, 400 curves using Lenstra ECM method, input has 338 bits, B1 = 250000, B2 = 25000000
03/26/09 16:51:46 v1.08 @ LAPPIE, 1000 curves using Lenstra ECM method, input has 338 bits, B1 = 1000000, B2 = 100000000
03/26/09 23:42:56 v1.08 @ LAPPIE, starting SIQS on c102: 453569855481298226564723037610642262164563210989868695838728271565250333688282786216554526112637497339
03/26/09 23:42:56 v1.08 @ LAPPIE, random seeds: 2459799540, 1414896784
03/26/09 23:42:57 v1.08 @ LAPPIE, ==== sieve params ====
03/26/09 23:42:57 v1.08 @ LAPPIE, n = 102 digits, 342 bits
03/26/09 23:42:57 v1.08 @ LAPPIE, factor base: 121000 primes (max prime = 3375233)
03/26/09 23:42:57 v1.08 @ LAPPIE, single large prime cutoff: 506284950 (150 * pmax)
03/26/09 23:42:57 v1.08 @ LAPPIE, double large prime range from 45 to 53 bits
03/26/09 23:42:57 v1.08 @ LAPPIE, double large prime cutoff: 4654907246467955
03/26/09 23:42:57 v1.08 @ LAPPIE, using 6 large prime slices of factor base
03/26/09 23:42:57 v1.08 @ LAPPIE, buckets hold 2048 elements
03/26/09 23:42:57 v1.08 @ LAPPIE, sieve interval: 40 blocks of size 32768
03/26/09 23:42:57 v1.08 @ LAPPIE, polynomial A has ~ 13 factors
03/26/09 23:42:57 v1.08 @ LAPPIE, using multiplier of 19
03/26/09 23:42:57 v1.08 @ LAPPIE, using small prime variation correction of 21 bits
03/26/09 23:42:57 v1.08 @ LAPPIE, using x128 sieve scanning
03/26/09 23:42:57 v1.08 @ LAPPIE, trial factoring cutoff at 98 bits
03/26/09 23:42:57 v1.08 @ LAPPIE, ==== sieving started ====
03/27/09 13:27:40 v1.08 @ LAPPIE, sieve time = 14761.2410, relation time = 11943.4010, poly_time = 22714.0660
03/27/09 13:27:40 v1.08 @ LAPPIE, 121065 relations found: 27879 full + 93186 from 1844469 partial, using 2695059 polys (609 A polys)
03/27/09 13:27:40 v1.08 @ LAPPIE, trial division touched 561952386 sieve locations out of 7064935464960
03/27/09 13:27:40 v1.08 @ LAPPIE, ==== post processing stage (msieve-1.38) ====
03/27/09 13:27:47 v1.08 @ LAPPIE, begin with 1872348 relations
03/27/09 13:27:48 v1.08 @ LAPPIE, reduce to 326294 relations in 15 passes
03/27/09 13:27:51 v1.08 @ LAPPIE, failed to read relation 94436
03/27/09 13:27:51 v1.08 @ LAPPIE, failed to read relation 126269
03/27/09 13:27:54 v1.08 @ LAPPIE, failed to read relation 236788
03/27/09 13:27:56 v1.08 @ LAPPIE, failed to read relation 291206
03/27/09 13:27:57 v1.08 @ LAPPIE, recovered 326290 relations
03/27/09 13:27:57 v1.08 @ LAPPIE, recovered 307271 polynomials
03/27/09 13:27:57 v1.08 @ LAPPIE, attempting to build 121061 cycles
03/27/09 13:27:57 v1.08 @ LAPPIE, found 121061 cycles in 7 passes
03/27/09 13:27:57 v1.08 @ LAPPIE, distribution of cycle lengths:
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 1 : 27879
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 2 : 19652
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 3 : 19792
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 4 : 16536
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 5 : 12912
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 6 : 9112
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 7 : 6125
03/27/09 13:27:57 v1.08 @ LAPPIE,    length 9+: 9053
03/27/09 13:27:57 v1.08 @ LAPPIE, largest cycle: 21 relations
03/27/09 13:27:57 v1.08 @ LAPPIE, matrix is 121000 x 121061 (36.0 MB) with weight 8959249 (74.01/col)
03/27/09 13:27:57 v1.08 @ LAPPIE, sparse part has weight 8959249 (74.01/col)
03/27/09 13:27:58 v1.08 @ LAPPIE, filtering completed in 3 passes
03/27/09 13:27:58 v1.08 @ LAPPIE, matrix is 116549 x 116613 (34.9 MB) with weight 8691415 (74.53/col)
03/27/09 13:27:58 v1.08 @ LAPPIE, sparse part has weight 8691415 (74.53/col)
03/27/09 13:27:59 v1.08 @ LAPPIE, saving the first 48 matrix rows for later
03/27/09 13:27:59 v1.08 @ LAPPIE, matrix is 116501 x 116613 (24.3 MB) with weight 7166912 (61.46/col)
03/27/09 13:27:59 v1.08 @ LAPPIE, sparse part has weight 5671030 (48.63/col)
03/27/09 13:27:59 v1.08 @ LAPPIE, matrix includes 64 packed rows
03/27/09 13:27:59 v1.08 @ LAPPIE, using block size 46645 for processor cache size 3072 kB
03/27/09 13:28:00 v1.08 @ LAPPIE, commencing Lanczos iteration
03/27/09 13:28:00 v1.08 @ LAPPIE, memory use: 21.8 MB
03/27/09 13:29:28 v1.08 @ LAPPIE, lanczos halted after 1844 iterations (dim = 116501)
03/27/09 13:29:28 v1.08 @ LAPPIE, recovered 18 nontrivial dependencies
03/27/09 13:29:29 v1.08 @ LAPPIE, prp52 = 3124137943097999819298035626042740374316930537111941
03/27/09 13:29:32 v1.08 @ LAPPIE, prp51 = 145182403511774248585192727630916578243588995294079
03/27/09 13:29:32 v1.08 @ LAPPIE, Lanczos elapsed time = 107.5710 seconds.
03/27/09 13:29:32 v1.08 @ LAPPIE, Sqrt elapsed time = 4.3410 seconds.
03/27/09 13:29:32 v1.08 @ LAPPIE, SIQS elapsed time = 49596.1740 seconds.
03/27/09 13:29:32 v1.08 @ LAPPIE, 
03/27/09 13:29:32 v1.08 @ LAPPIE, 
03/27/09 13:29:32 v1.08 @ LAPPIE, Total factoring time = 77160.9650 seconds

Yafu v1.08

Core 2 Duo T 8100
Windows Vista Home Premium 32 bit

5124384041547716026250886268364017564036297571233982296968027259034995576625943476373054214083058888082895438847079442124075766865538541823513669613868197<154>

34363196394391077614856507380930780469359185367467522330450410543511411<71>
149124196210808318999806998432402432647174526275866338390959675701508450716087029127<84>

Number: 54449_162
N=5124384041547716026250886268364017564036297571233982296968027259034995576625943476373054214083058888082895438847079442124075766865538541823513669613868197
  ( 154 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=34363196394391077614856507380930780469359185367467522330450410543511411 (pp71)
 r2=149124196210808318999806998432402432647174526275866338390959675701508450716087029127 (pp84)
Version: Msieve-1.39
Total time: 40.66 hours.
Scaled time: 104.54 units (timescale=2.571).
Factorization parameters were as follows:
n: 5124384041547716026250886268364017564036297571233982296968027259034995576625943476373054214083058888082895438847079442124075766865538541823513669613868197
m: 200000000000000000000000000000000
deg: 5
c5: 1225
c0: 328
skew: 0.77
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 3850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 679933 x 680181
Total sieving time: 40.66 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 40.66 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1402349324633698256140012135543458744822102593646541812746298229673535472139910433762013003100546995491089384322899717818288966583222385504693409<145>

610669137960733395685042251722807251<36>
7186553173058630799368238546006774398260215801703<49>
319543210483475316340708907207542706196386873040108707971853<60>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 1402349324633698256140012135543458744822102593646541812746298229673535472139910433762013003100546995491089384322899717818288966583222385504693409 (145 digits)
Using B1=2770000, B2=4281513610, polynomial Dickson(6), sigma=648140982
Step 1 took 38376ms
********** Factor found in step 1: 610669137960733395685042251722807251
Found probable prime factor of 36 digits: 610669137960733395685042251722807251
Composite cofactor 2296414273229361472578839807470333744690001646782988120596944464494727792347492919926882269338661235553465659 has 109 digits


GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 2296414273229361472578839807470333744690001646782988120596944464494727792347492919926882269338661235553465659 (109 digits)
Using B1=3316000, B2=5707206970, polynomial Dickson(6), sigma=27217913
Step 1 took 32510ms
Step 2 took 10920ms
********** Factor found in step 2: 7186553173058630799368238546006774398260215801703
Found probable prime factor of 49 digits: 7186553173058630799368238546006774398260215801703
Probable prime cofactor 319543210483475316340708907207542706196386873040108707971853 has 60 digits

25301261866872711881673950073794486524573747317743521934619164115499124447251335454818323256460354497529073602558380983612889041109541916523082005572164026738167<161>

403475196715413542945185597203831441517<39>
62708345080053725423367577282775798846310717380281419671758144564588907556000849612451063415371641841328324130172173742451<122>

Number: 54449_166
N=25301261866872711881673950073794486524573747317743521934619164115499124447251335454818323256460354497529073602558380983612889041109541916523082005572164026738167
  ( 161 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=403475196715413542945185597203831441517 (pp39)
 r2=62708345080053725423367577282775798846310717380281419671758144564588907556000849612451063415371641841328324130172173742451 (pp122)
Version: Msieve-1.39
Total time: 51.88 hours.
Scaled time: 90.22 units (timescale=1.739).
Factorization parameters were as follows:
n: 25301261866872711881673950073794486524573747317743521934619164115499124447251335454818323256460354497529073602558380983612889041109541916523082005572164026738167
m: 1000000000000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 5200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 874003 x 874251
Total sieving time: 51.88 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 51.88 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

2748132996110164316692394787675034756341704156057136951873517972369944327740468903886111422774446271987<103>

161726317463004925294893739483643455711403<42>
16992491013336792208581860510277455208049350422509007698567129<62>

Number: n
N=2748132996110164316692394787675034756341704156057136951873517972369944327740468903886111422774446271987
  ( 103 digits)
Divisors found:

Sat Mar 28 06:32:51 2009  prp42 factor: 161726317463004925294893739483643455711403
Sat Mar 28 06:32:51 2009  prp62 factor: 16992491013336792208581860510277455208049350422509007698567129
Sat Mar 28 06:32:51 2009  elapsed time 00:21:51 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 5.76 hours.
Scaled time: 15.26 units (timescale=2.649).
Factorization parameters were as follows:
name: KA_5_4_168_9
n: 2748132996110164316692394787675034756341704156057136951873517972369944327740468903886111422774446271987
skew: 6018.30
# norm 9.19e+13
c5: 33540
c4: 684589501
c3: 5791283135574
c2: -28206819817534566
c1: -38476561442250937966
c0: -33218737564069799087307
# alpha -5.31
Y1: 74270204899
Y0: -38255289751789543670
# Murphy_E 2.39e-09
# M 2118835397043999855895382204736405261545507460993547449580085793519358158855105205632886183942560675358
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 1751117)
Primes: RFBsize:169511, AFBsize:169243, largePrimes:13837185 encountered
Relations: rels:11629589, finalFF:365377
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 666886 hash collisions in 12075964 relations
Msieve: matrix is 347056 x 347304 (95.4 MB)

Total sieving time: 5.33 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,28,28,56,56,2.6,2.6,100000
total time: 5.76 hours.
 --------- CPU info (if available) ----------

1748060496204602348217928342045955454659092137537713587969915638714670667753586844090191544518365344287126709<109>

83034203406922062183051715629104539<35>
21052294409786281603774327103314927783566223455754104095544829887091074031<74>

GMP-ECM 6.2.1 [powered by GMP 4.2.4] [ECM]
Input number is 1748060496204602348217928342045955454659092137537713587969915638714670667753586844090191544518365344287126709 (109 digits)
Using B1=720000, B2=696728352, polynomial Dickson(3), sigma=2714175444
Step 1 took 7176ms
Step 2 took 2964ms
********** Factor found in step 2: 83034203406922062183051715629104539
Found probable prime factor of 35 digits: 83034203406922062183051715629104539
Probable prime cofactor 21052294409786281603774327103314927783566223455754104095544829887091074031 has 74 digits

2479118960506156795587458640330057593026679641604593405908020736761049848884520133081502328853632938821119986507118084203662152162975452379567205721943698423530996791693<169>

200606999584637237434103640553<30>

12358088031022079888465150529485680285613357149315314014400564062635412033147417633513930322961925212564678657075747818539377406309613797381<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=995609824
Step 1 took 28030ms
Step 2 took 15637ms
********** Factor found in step 2: 200606999584637237434103640553
Found probable prime factor of 30 digits: 200606999584637237434103640553
Composite cofactor 1235808803102207988846515052948568028561335714931531401440056406263541203314741763351393032296192521256467865707574781853937740630961379738
1 has 140 digits

12358088031022079888465150529485680285613357149315314014400564062635412033147417633513930322961925212564678657075747818539377406309613797381<140>

49624729147350957262129851750137368316143<41>
149023728997203839556786629472516207961088669<45>
1671081797620492554847560020495994322482134698993499143<55>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=499448745
Step 1 took 33550ms
Step 2 took 13262ms
********** Factor found in step 2: 49624729147350957262129851750137368316143
Found probable prime factor of 41 digits: 49624729147350957262129851750137368316143
Composite cofactor 

prp45 factor: 149023728997203839556786629472516207961088669
prp55 factor: 1671081797620492554847560020495994322482134698993499143

GMP-ECM 6.5; Msieve v. 1.51 (SVN 719M)

41800393483141558800943224002194728806763092786852528038618417864678100130384043273391577609200885592690709490354255937645018840883295238715346323225318292913662296441499489<173>

15798440724554320899278563294112256141376786914617<50>
92857853086489174134951123170391304690597828478036311759<56>
28493612024729379299785755786952655044385370402506590968435734945863<68>

Number: 54449_180
N=41800393483141558800943224002194728806763092786852528038618417864678100130384043273391577609200885592690709490354255937645018840883295238715346323225318292913662296441499489
  ( 173 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=15798440724554320899278563294112256141376786914617
 r2=92857853086489174134951123170391304690597828478036311759
 r3=28493612024729379299785755786952655044385370402506590968435734945863
Version: 
Total time: 238.80 hours.
Scaled time: 479.03 units (timescale=2.006).
Factorization parameters were as follows:
n: 41800393483141558800943224002194728806763092786852528038618417864678100130384043273391577609200885592690709490354255937645018840883295238715346323225318292913662296441499489
m: 1000000000000000000000000000000000000
deg: 5
c5: 49
c0: 41
skew: 0.96
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3750000, 6250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1015918 x 1016166
Total sieving time: 238.80 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 238.80 hours.
 --------- CPU info (if available) ----------

11374110727339330182333262326384935514943480767109952901664475757603401518341647227963246580669568829049924477065394010453643407376240796516439501302347284515789366418160917251<176>

211974948010682043440631615297443182867091771609519995107551<60>
53657806425154330799367676055363804091491994252910482472595014538988506923902195300427038592788553003307029544324701<116>

Number: 54449_181
N=11374110727339330182333262326384935514943480767109952901664475757603401518341647227963246580669568829049924477065394010453643407376240796516439501302347284515789366418160917251
  ( 176 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=211974948010682043440631615297443182867091771609519995107551
 r2=53657806425154330799367676055363804091491994252910482472595014538988506923902195300427038592788553003307029544324701
Version: 
Total time: 292.21 hours.
Scaled time: 585.59 units (timescale=2.004).
Factorization parameters were as follows:
n: 11374110727339330182333262326384935514943480767109952901664475757603401518341647227963246580669568829049924477065394010453643407376240796516439501302347284515789366418160917251
m: 1000000000000000000000000000000000000
deg: 5
c5: 490
c0: 41
skew: 0.61
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 7200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1465946 x 1466194
Total sieving time: 292.21 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 292.21 hours.
 --------- CPU info (if available) ----------

68500557154548446805039149782037100797737618772911523173014140284011320747799120373108241632937175039015943892020950975239602960139616278552561899925638108801213<161>

31901925533968566815102765648076754882877168895808392607545438421<65>
2147223279096753874059953283057463404475666594501120459751185621837125671012050543449126966266953<97>

N=68500557154548446805039149782037100797737618772911523173014140284011320747799120373108241632937175039015943892020950975239602960139616278552561899925638108801213
  ( 161 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=31901925533968566815102765648076754882877168895808392607545438421 (pp65)
 r2=2147223279096753874059953283057463404475666594501120459751185621837125671012050543449126966266953 (pp97)
Version: Msieve v. 1.50
Total time:
Scaled time: 41.91 units (timescale=1.456).
Factorization parameters were as follows:
n: 68500557154548446805039149782037100797737618772911523173014140284011320747799120373108241632937175039015943892020950975239602960139616278552561899925638108801213
m: 1000000000000000000000000000000000000
deg: 5
c5: 4900
c0: 41
skew: 0.38
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 11410001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1709174 x 1709422
Total sieving time: 
Total relation processing time:
Matrix solve time:
Time per square root: 
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 
 --------- CPU info (if available) ----------

50468636296313949903838288371782283702507689499399729266102861506479835032345842143198179969074489107535905447570110591573490817146134696818536182201264482063<158>

3375345877640462342921220391798826863968949577091487448821223261323429<70>
14952137684803455409126474944225672958787726885383222212797158882848464817810492380522147<89>

Number: 54449_183
N=50468636296313949903838288371782283702507689499399729266102861506479835032345842143198179969074489107535905447570110591573490817146134696818536182201264482063
  ( 158 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=3375345877640462342921220391798826863968949577091487448821223261323429
 r2=14952137684803455409126474944225672958787726885383222212797158882848464817810492380522147
Version: 
Total time: 96.19 hours.
Scaled time: 505.88 units (timescale=5.259).
Factorization parameters were as follows:
n: 50468636296313949903838288371782283702507689499399729266102861506479835032345842143198179969074489107535905447570110591573490817146134696818536182201264482063
m: 2000000000000000000000000000000000000
deg: 5
c5: 6125
c0: 164
skew: 0.48
# Murphy_E = 4.559e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20980684
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1740760 x 1741008
Total sieving time: 89.61 hours.
Total relation processing time: 2.44 hours.
Matrix solve time: 3.98 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 96.19 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

1500190877455026087179122298634095305706810346679198611288805619698007217499829421296934442685434994062535633661347457583285920160187<133>

3269848748114928250981540408411501563849041559623<49>
458795189936503313284439523442937252548058787369357294641761604840360871178735839469<84>

Number: n
N=1500190877455026087179122298634095305706810346679198611288805619698007217499829421296934442685434994062535633661347457583285920160187
  ( 133 digits)
Divisors found:

Sun Apr 22 16:25:17 2012  prp49 factor: 3269848748114928250981540408411501563849041559623
Sun Apr 22 16:25:17 2012  prp84 factor: 458795189936503313284439523442937252548058787369357294641761604840360871178735839469
Sun Apr 22 16:25:17 2012  elapsed time 02:50:14 (Msieve 1.44 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
name: KA_54449_185
n: 1500190877455026087179122298634095305706810346679198611288805619698007217499829421296934442685434994062535633661347457583285920160187
skew: 176470.01
# norm 7.05e+17
c5: 52080
c4: -88233979159
c3: -5543729994292450
c2: 3364622104070272756757
c1: -13544728369143722247297317
c0: -1591201734294678688280965002760
# alpha -5.15
Y1: 679045944824137
Y0: -31038328727262136209018117
# Murphy_E 5.13e-11
# M 864785877646605147874648634523710260891691117755070381467181002737963944179268406180721750716259825672429959315002289476095187105535
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, 25440000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 3165043 hash collisions in 13629180 relations
Msieve: matrix is 1216688 x 1216915 (350.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
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) ----------

4057280115164125595609390566486087659699467784072349593802607297046320451903211389439689494304657800480931426984994388657305876152850549482770508983263366496491<160>

626816785777451600758981838272270646850682251997773636331126303903<66>
6472832583977168929436763320576275854833857768912955644720878207260226100095188285172984249397<94>

4057280115164125595609390566486087659699467784072349593802607297046320451903211389439689494304657800480931426984994388657305876152850549482770508983263366496491=626816785777451600758981838272270646850682251997773636331126303903*6472832583977168929436763320576275854833857768912955644720878207260226100095188285172984249397

cado polynomial
n: 4057280115164125595609390566486087659699467784072349593802607297046320451903211389439689494304657800480931426984994388657305876152850549482770508983263366496491
skew: 0.76
type: snfs
c0: 205
c5: 784
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 784*x^5+205
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10800000
tasks.lim1 = 10800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.sqrt.threads = 2
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 626816785777451600758981838272270646850682251997773636331126303903 6472832583977168929436763320576275854833857768912955644720878207260226100095188285172984249397
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: 4.72/2.01359
Info:Generate Free Relations: Total cpu/real time for freerel: 102.51/26.282
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28042254
Info:Lattice Sieving: Average J: 1894.87 for 3517286 special-q, max bucket fill -bkmult 1.0,1s:1.081640
Info:Lattice Sieving: Total time: 785028s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.22/119.639
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 472.92/438.735
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 378.59999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 388.88/400.862
Info:Filtering - Merging: Merged matrix has 2351820 rows and total weight 404898763 (172.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 328.58/94.9078
Info:Filtering - Merging: Total cpu/real time for replay: 89.74/77.1238
Info:Linear Algebra: Total cpu/real time for bwc: 100411/25707.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 16545.96, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73728 iterations)
Info:Linear Algebra: Lingen CPU time 469.42, WCT time 136.78
Info:Linear Algebra: Mksol: WCT time 8786.49, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36864 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 82.81/34.1738
Info:Square Root: Total cpu/real time for sqrt: 680.74/214.047
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.55137e+06/419762
Info:root: Cleaning up computation data in /tmp/cado.ej7v99s4
626816785777451600758981838272270646850682251997773636331126303903 6472832583977168929436763320576275854833857768912955644720878207260226100095188285172984249397

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)

2078347076701305865546970289200656161819578014959101539495279805829781818639001679594012558539786164234469387340482104557644132281404974829<139>

432033798604816067788015429146876475837<39>
4810612233147024046118872184879497152874112271368784076219560233180593715443679781891440809922968817<100>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3830713509
Step 1 took 16483ms
Step 2 took 6994ms
********** Factor found in step 2: 432033798604816067788015429146876475837
Found probable prime factor of 39 digits: 432033798604816067788015429146876475837

37571908596340439307270145619521046201823035692641715942368296227738237904858361180635431163899075324696339888461452329305247621782091168494794652077669017569041227<164>

19797243061068068464953976516652511272652021397<47>
1897835394577078106078921954613554040654712783289502831793807228745917436382237749169587268819624746592435823718775391<118>

p47 factor: 19797243061068068464953976516652511272652021397
p118 factor: 1897835394577078106078921954613554040654712783289502831793807228745917436382237749169587268819624746592435823718775391


Msieve v. 1.54 (SVN 1034)
random seeds: cb410780 0494cbb5
factoring 37571908596340439307270145619521046201823035692641715942368296227738237904858361180635431163899075324696339888461452329305247621782091168494794652077669017569041227 (164 digits)
searching for 15-digit factors
commencing number field sieve (164-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 41
A1: 0
A2: 0
A3: 0
A4: 0
A5: 490
skew 1.00, size 1.088e-13, alpha 1.215, combined = 2.203e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 2372347 hash collisions in 37354233 relations
added 727914 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38082147 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1252.0 MB
keeping 40496329 ideals with weight <= 200, target excess is 201969
commencing in-memory singleton removal
begin with 38082147 relations and 40496329 unique ideals
reduce to 14810006 relations and 13285621 ideals in 13 passes
max relations containing the same ideal: 109
removing 2093888 relations and 1693888 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12716118 relations and 13285621 unique ideals
reduce to 12468198 relations and 11335088 ideals in 9 passes
max relations containing the same ideal: 97
removing 1678925 relations and 1278925 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10789273 relations and 11335088 unique ideals
reduce to 10597115 relations and 9857706 ideals in 9 passes
max relations containing the same ideal: 90
removing 1582121 relations and 1182121 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9014994 relations and 9857706 unique ideals
reduce to 8809016 relations and 8462236 ideals in 8 passes
max relations containing the same ideal: 77
removing 593288 relations and 480793 ideals in 112495 cliques
commencing in-memory singleton removal
begin with 8215728 relations and 8462236 unique ideals
reduce to 8184253 relations and 7949571 ideals in 7 passes
max relations containing the same ideal: 74
relations with 0 large ideals: 4337
relations with 1 large ideals: 9729
relations with 2 large ideals: 83966
relations with 3 large ideals: 397591
relations with 4 large ideals: 1125947
relations with 5 large ideals: 1983792
relations with 6 large ideals: 2279339
relations with 7+ large ideals: 2299552
commencing 2-way merge
reduce to 5082786 relation sets and 4848104 unique ideals
commencing full merge
memory use: 571.0 MB
found 2374093 cycles, need 2348304
weight of 2348304 cycles is about 211489168 (90.06/cycle)
distribution of cycle lengths:
1 relations: 195923
2 relations: 196705
3 relations: 204455
4 relations: 200554
5 relations: 195502
6 relations: 181576
7 relations: 170513
8 relations: 155526
9 relations: 139629
10+ relations: 707921
heaviest cycle: 26 relations
commencing cycle optimization
start with 17371318 relations
pruned 594080 relations
memory use: 512.0 MB
distribution of cycle lengths:
1 relations: 195923
2 relations: 201526
3 relations: 212359
4 relations: 207438
5 relations: 202747
6 relations: 187340
7 relations: 175997
8 relations: 159430
9 relations: 142899
10+ relations: 662645
heaviest cycle: 26 relations
RelProcTime: 979
elapsed time 00:16:20


Msieve v. 1.54 (SVN 1034)
random seeds: 1e03e703 aff7ac78
factoring 37571908596340439307270145619521046201823035692641715942368296227738237904858361180635431163899075324696339888461452329305247621782091168494794652077669017569041227 (164 digits)
searching for 15-digit factors
commencing number field sieve (164-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 41
A1: 0
A2: 0
A3: 0
A4: 0
A5: 490
skew 1.00, size 1.088e-13, alpha 1.215, combined = 2.203e-11 rroots = 1

commencing linear algebra
read 2348304 cycles
cycles contain 8026494 unique relations
read 8026494 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 983.6 MB
read 2348304 cycles
matrix is 2348126 x 2348304 (862.5 MB) with weight 252013252 (107.32/col)
sparse part has weight 200274103 (85.28/col)
filtering completed in 2 passes
matrix is 2347495 x 2347673 (862.5 MB) with weight 251991526 (107.34/col)
sparse part has weight 200266460 (85.30/col)
matrix starts at (0, 0)
matrix is 2347495 x 2347673 (862.5 MB) with weight 251991526 (107.34/col)
sparse part has weight 200266460 (85.30/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2347447 x 2347673 (819.1 MB) with weight 207113332 (88.22/col)
sparse part has weight 191244320 (81.46/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 779.2 MB
linear algebra at 0.1%, ETA 2h34m
checkpointing every 920000 dimensions
lanczos halted after 37119 iterations (dim = 2347445)
recovered 38 nontrivial dependencies
BLanczosTime: 9501
elapsed time 02:38:22


Msieve v. 1.54 (SVN 1034)
random seeds: c80bd119 cdff12ae
factoring 37571908596340439307270145619521046201823035692641715942368296227738237904858361180635431163899075324696339888461452329305247621782091168494794652077669017569041227 (164 digits)
searching for 15-digit factors
commencing number field sieve (164-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 41
A1: 0
A2: 0
A3: 0
A4: 0
A5: 490
skew 1.00, size 1.088e-13, alpha 1.215, combined = 2.203e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1172485 cycles
cycles contain 4007974 unique relations
read 4007974 relations
multiplying 4007974 relations
multiply complete, coefficients have about 123.77 million bits
initial square root is modulo 765383261
sqrtTime: 230
p47 factor: 19797243061068068464953976516652511272652021397
p118 factor: 1897835394577078106078921954613554040654712783289502831793807228745917436382237749169587268819624746592435823718775391
elapsed time 00:03:51

CADO-NFS/Msieve

2798447708277639742859543771261391954926953812713043536199223581287819877122617796377093694514563852668225793478652754079318749146649839563421599845349762389817632561<166>

24200341175514633700747104590428694639921110229<47>
115636704787825339306704414218705538757604807999100799661458973146959898531910931428683797181510307396523527744959094509<120>

prp47 = 24200341175514633700747104590428694639921110229 (curve 178 stg2 B1=43000000 sigma=1276938506 thread=2)

193712927310745091926231047994485284327199077687274845314127388315613970921362221339535449115049280435643414003144853367520877702151606247973321152939<150>

1554829479621088403046725110964300983<37>
124587892016269777089097896532602935806412701670737998853592882025906105366125745929395711204089566137050659663533<114>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2589631198
Step 1 took 79295ms
Step 2 took 40217ms
********** Factor found in step 2: 1554829479621088403046725110964300983
Found probable prime factor of 37 digits: 1554829479621088403046725110964300983
Probable prime cofactor 124587892016269777089097896532602935806412701670737998853592882025906105366125745929395711204089566137050659663533 has 114 digits

GMP-ECM 6.3

4089796171310679723618511639584304270880411575728687917178804163048305256624978548664442774268409135487948643441058845810483655061517821038627869503303331845007201547580929133<175>

60156978086612631906739310583061144295842339742581<50>
1195875770322546112132813378437496987592861882190223987297<58>
56849884336546963747527591037596847265797416873644810994926650474169<68>

Number: n
N=4089796171310679723618511639584304270880411575728687917178804163048305256624978548664442774268409135487948643441058845810483655061517821038627869503303331845007201547580929133  ( 175 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat Mar  6 09:16:43 2021  found factor: 60156978086612631906739310583061144295842339742581
Sat Mar  6 09:18:42 2021  p50 factor: 60156978086612631906739310583061144295842339742581
Sat Mar  6 09:18:42 2021  p58 factor: 1195875770322546112132813378437496987592861882190223987297
Sat Mar  6 09:18:42 2021  p68 factor: 56849884336546963747527591037596847265797416873644810994926650474169
Sat Mar  6 09:18:42 2021  elapsed time 01:06:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 49x10^195+41 = 54(194)9
#
n: 4089796171310679723618511639584304270880411575728687917178804163048305256624978548664442774268409135487948643441058845810483655061517821038627869503303331845007201547580929133
m: 1000000000000000000000000000000000000000
deg: 5
c5: 49
c0: 41
skew: 0.96
# Murphy_E = 2.1e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4200305 hash collisions in 30882820 relations (28320818 unique)
Msieve: matrix is 1616091 x 1616316 (561.7 MB)

Sieving start time : 2021/03/06 02:04:35
Sieving end time  : 2021/03/06 08:11:25

Total sieving time: 6hrs 6min 50secs.

Total relation processing time: 0hrs 50min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 57sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116378] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.154161] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798400)
[    0.152017] smpboot: Total of 16 processors activated (102387.20 BogoMIPS)

52283978536205178399643657736111893360813051166369943605879019610862907994317796726602767138790593623027033541948710202676205861849<131>

7753115765111063522021142552571754477947<40>
6743608649761494883582317379979859049540910030066178214889108592918675243582982981900750267<91>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2900669674
Step 1 took 41286ms
Step 2 took 15713ms
********** Factor found in step 2: 7753115765111063522021142552571754477947
Found probable prime factor of 40 digits: 7753115765111063522021142552571754477947
Probable prime cofactor 6743608649761494883582317379979859049540910030066178214889108592918675243582982981900750267 has 91 digits

GMP-ECM 6.2.1 [powered by GMP 4.2.4] 

3293294268142304455107996864515016380106378781667964829499098679126879135226628045062212681078256804231600852197020455860480999741980475604116187690620408920956165648400241983197612643937962670039<196>

37275012028726822642622072954781884705885423<44>
88351259701921852832633429667747775669808345171415609203853358189987067824413888270327700386840290722262317778160874561417235000119736451519483267715993<152>

Msieve v. 1.44
Thu Nov  5 21:18:46 2009
random seeds: 0f697e6c 28abe295
factoring 3293294268142304455107996864515016380106378781667964829499098679126879135226628045062212681078256804231600852197020455860480999741980475604116187690620408920956165648400241983197612643937962670039 (196 digits)
searching for 15-digit factors
commencing number field sieve (196-digit input)
R0: -10000000000000000000000000000000000000000
R1:  1
A0:  41
A1:  0
A2:  0
A3:  0
A4:  0
A5:  490
skew 0.61, size 2.833956e-14, alpha 1.214899, combined = 9.459428e-12

commencing relation filtering
estimated available RAM is 1148.0 MB
commencing duplicate removal, pass 1
error -9 reading relation 8945276
error -9 reading relation 11307712
error -9 reading relation 11518069
error -15 reading relation 11544804
error -9 reading relation 12509643
error -15 reading relation 12756522
error -15 reading relation 12795024
error -1 reading relation 23489632
error -9 reading relation 23643833
error -15 reading relation 24407655
error -15 reading relation 25776837
error -1 reading relation 26227026
error -15 reading relation 26416665
error -9 reading relation 31485538
found 8862011 hash collisions in 44999986 relations
added 730520 free relations
commencing duplicate removal, pass 2
found 9014662 duplicates and 36715844 unique relations
memory use: 213.2 MB
reading ideals above 19202048
commencing singleton removal, initial pass
memory use: 753.0 MB
removing singletons from LP file
start with 36715844 relations and 36580329 ideals
pass 1: found 14595173 singletons
pruned dataset has 22120671 relations and 19124588 large ideals
reading all ideals from disk
memory use: 382.0 MB
commencing in-memory singleton removal
begin with 22120671 relations and 19124588 unique ideals
reduce to 15684674 relations and 12316705 ideals in 18 passes
max relations containing the same ideal: 30
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 376.5 MB
reading all ideals from disk
memory use: 531.7 MB
keeping 14648359 ideals with weight <= 200, target excess is 116482
commencing in-memory singleton removal
begin with 15684983 relations and 14648359 unique ideals
reduce to 15682203 relations and 14644226 ideals in 9 passes
max relations containing the same ideal: 200
removing 2846610 relations and 2446610 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12835593 relations and 14644226 unique ideals
reduce to 12465195 relations and 11815179 ideals in 11 passes
max relations containing the same ideal: 175
removing 2135745 relations and 1735745 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10329450 relations and 11815179 unique ideals
reduce to 10053854 relations and 9795074 ideals in 9 passes
max relations containing the same ideal: 147
removing 792609 relations and 668949 ideals in 123660 cliques
commencing in-memory singleton removal
begin with 9261245 relations and 9795074 unique ideals
reduce to 9216708 relations and 9081049 ideals in 7 passes
max relations containing the same ideal: 139
relations with 0 large ideals: 2906
relations with 1 large ideals: 272
relations with 2 large ideals: 7222
relations with 3 large ideals: 70678
relations with 4 large ideals: 374670
relations with 5 large ideals: 1150194
relations with 6 large ideals: 2257720
relations with 7+ large ideals: 5353046
commencing 2-way merge
reduce to 5570453 relation sets and 5434794 unique ideals
commencing full merge
memory use: 661.0 MB
found 2928967 cycles, need 2910994
weight of 2910994 cycles is about 203790381 (70.01/cycle)
distribution of cycle lengths:
1 relations: 364884
2 relations: 359563
3 relations: 360513
4 relations: 323963
5 relations: 286525
6 relations: 247293
7 relations: 211854
8 relations: 175678
9 relations: 142574
10+ relations: 438147
heaviest cycle: 23 relations
commencing cycle optimization
start with 15939067 relations
pruned 326649 relations
memory use: 540.6 MB
distribution of cycle lengths:
1 relations: 364884
2 relations: 366593
3 relations: 371489
4 relations: 329960
5 relations: 291790
6 relations: 249668
7 relations: 212738
8 relations: 175029
9 relations: 140569
10+ relations: 408274
heaviest cycle: 23 relations
RelProcTime: 1858
elapsed time 00:31:01


Msieve v. 1.44
Thu Nov  5 21:54:39 2009
random seeds: 239a98bf cd32137d
factoring 3293294268142304455107996864515016380106378781667964829499098679126879135226628045062212681078256804231600852197020455860480999741980475604116187690620408920956165648400241983197612643937962670039 (196 digits)
searching for 15-digit factors
commencing number field sieve (196-digit input)
R0: -10000000000000000000000000000000000000000
R1:  1
A0:  41
A1:  0
A2:  0
A3:  0
A4:  0
A5:  490
skew 0.61, size 2.833956e-14, alpha 1.214899, combined = 9.459428e-12

commencing linear algebra
read 2910994 cycles
cycles contain 9097602 unique relations
read 9097602 relations
using 20 quadratic characters above 536868404
building initial matrix
memory use: 1163.2 MB
read 2910994 cycles
matrix is 2910816 x 2910994 (876.2 MB) with weight 256607789 (88.15/col)
sparse part has weight 197667834 (67.90/col)
filtering completed in 2 passes
matrix is 2908807 x 2908984 (876.0 MB) with weight 256551143 (88.19/col)
sparse part has weight 197651271 (67.95/col)
read 2908984 cycles
matrix is 2908807 x 2908984 (876.0 MB) with weight 256551143 (88.19/col)
sparse part has weight 197651271 (67.95/col)
saving the first 48 matrix rows for later
matrix is 2908759 x 2908984 (831.7 MB) with weight 204497989 (70.30/col)
sparse part has weight 188932378 (64.95/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (2 threads)
memory use: 849.9 MB
restarting at iteration 45547 (dim = 2880023)
linear algebra completed 2908597 of 2908984 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 46003 iterations (dim = 2908755)
recovered 35 nontrivial dependencies
BLanczosTime: 102677

commencing square root phase
reading relations for dependency 1
read 1454148 cycles
cycles contain 4549318 unique relations
read 4549318 relations
multiplying 4549318 relations
multiply complete, coefficients have about 146.17 million bits
initial square root is modulo 176051
reading relations for dependency 2
read 1453033 cycles
cycles contain 4546544 unique relations
read 4546544 relations
multiplying 4546544 relations
multiply complete, coefficients have about 146.07 million bits
initial square root is modulo 174721
sqrtTime: 6024
prp44 factor: 37275012028726822642622072954781884705885423
prp152 factor: 88351259701921852832633429667747775669808345171415609203853358189987067824413888270327700386840290722262317778160874561417235000119736451519483267715993
elapsed time 01:57:43

ggnfs-lasieve4I14e on the RSALS grid + msieve 1.44 SVN.

Heterogeneous machines of the RSALS grid for sieving, Core 2 Duo T7200 with 2 GB RAM for post-processing.

28656746537778601559391276669960034737431193242743486051295700842387857416731739362911903254601944660125427859917384634593351435659187368603143238333719448424413517779418166025659472427283213<191>

677023016613921705678749937120577103<36>
42327580945627380071221035558770831240229052151480436703270422910017764113655859190133282139784526869433697771823116813448501314597495266948073862079526371<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2675342146
Step 1 took 42907ms
********** Factor found in step 1: 677023016613921705678749937120577103
Found probable prime factor of 36 digits: 677023016613921705678749937120577103
Probable prime cofactor 42327580945627380071221035558770831240229052151480436703270422910017764113655859190133282139784526869433697771823116813448501314597495266948073862079526371 has 155 digits

2779700588582342127271401129148224980118509681649188834584965857657553567391025911504090858489312701861986810515518485329365193956362176869651957871074949819<157>

90468667409215331231616625320563749230692642542787468821737197843201<68>
30725561326210005635310442588106335713347484232093531071604570320196425547627404943129019<89>

Number: n
N=2779700588582342127271401129148224980118509681649188834584965857657553567391025911504090858489312701861986810515518485329365193956362176869651957871074949819  ( 157 digits)
SNFS difficulty: 206 digits.
Divisors found:

Sun Jul 21 13:46:21 2024  prp68 factor: 90468667409215331231616625320563749230692642542787468821737197843201
Sun Jul 21 13:46:21 2024  prp89 factor: 30725561326210005635310442588106335713347484232093531071604570320196425547627404943129019
Sun Jul 21 13:46:21 2024  elapsed time 05:06:50 (Msieve 1.44 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.943).
Factorization parameters were as follows:
#
# N = 49x10^204+41 = 54(203)9
#
n: 2779700588582342127271401129148224980118509681649188834584965857657553567391025911504090858489312701861986810515518485329365193956362176869651957871074949819
m: 50000000000000000000000000000000000000000
deg: 5
c5: 784
c0: 205
skew: 0.76
# Murphy_E = 6.339e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
# q0: 70000000
# qintsize: 50000
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 71250000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 6255322 hash collisions in 22232095 relations (14973348 unique)
Msieve: matrix is 2954384 x 2954609 (833.1 MB)

Sieving start time: 2024/07/20 02:27:30
Sieving end time  : 2024/07/21 08:33:12

Total sieving time: 30hrs 5min 42secs.

Total relation processing time: 4hrs 47min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 40sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1492587076510660824215951276869688629179202460990212472155287890296412741671748514506966882852252056530767494126450395683603048679300142167683315173096161653214249885497827<172>

16583408840421473690242950721126721151878009444747331795034754457109<68>
90004841035609790328545180829377241423526231471857984458262241517762077241958790982934553879727556308503<104>

08/05/24 17:38:07 v1.34.5 @ RYZEN-9,
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, ****************************
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, Starting factorization of 4900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000041
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, using pretesting plan: normal
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, ****************************
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, div: found prime factor = 3
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, div: found prime factor = 3
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, div: found prime factor = 3
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, div: found prime factor = 19
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, div: found prime factor = 151
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C203
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C203
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C203
08/05/24 17:38:07 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C203
08/05/24 17:38:08 v1.34.5 @ RYZEN-9, prp10 = 1409860993
08/05/24 17:38:08 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
08/05/24 17:38:08 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 59.69
08/05/24 17:38:08 v1.34.5 @ RYZEN-9, Finished 30 curves using Lenstra ECM method on C194 input, B1=2K, B2=gmp-ecm default
08/05/24 17:38:08 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
08/05/24 17:38:08 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 59.69
08/05/24 17:38:10 v1.34.5 @ RYZEN-9, prp23 = 30059779855241480990837 (curve 66 stg2 B1=11000 sigma=753606614 thread=0)
08/05/24 17:38:10 v1.34.5 @ RYZEN-9, Finished 66 curves using Lenstra ECM method on C194 input, B1=11K, B2=gmp-ecm default
08/05/24 17:38:10 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 19.64
08/05/24 17:38:10 v1.34.5 @ RYZEN-9, scheduled 8 curves at B1=11000 toward target pretesting depth of 52.92
08/05/24 17:38:10 v1.34.5 @ RYZEN-9, Finished 8 curves using Lenstra ECM method on C172 input, B1=11K, B2=gmp-ecm default
08/05/24 17:38:10 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
08/05/24 17:38:10 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 52.92
08/05/24 17:38:43 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c208: 4900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000041
08/05/24 17:38:43 v1.34.5 @ RYZEN-9, nfs: input divides 49*10^206 + 41
08/05/24 17:38:43 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 1492587076510660824215951276869688629179202460990212472155287890296412741671748514506966882852252056530767494126450395683603048679300142167683315173096161653214249885497827
08/05/24 17:38:43 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c172: 1492587076510660824215951276869688629179202460990212472155287890296412741671748514506966882852252056530767494126450395683603048679300142167683315173096161653214249885497827
08/05/24 17:38:43 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 1492587076510660824215951276869688629179202460990212472155287890296412741671748514506966882852252056530767494126450395683603048679300142167683315173096161653214249885497827
# 49*10^206+41, difficulty: 208.69, anorm: 2.83e+032, rnorm: 1.28e+047
# scaled difficulty: 211.13, suggest sieving rational side
# size = 1.088e-014, alpha = 1.215, combined = 5.164e-012, rroots = 1
type: snfs
size: 208
skew: 0.6089
c5: 490
c0: 41
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 1492587076510660824215951276869688629179202460990212472155287890296412741671748514506966882852252056530767494126450395683603048679300142167683315173096161653214249885497827
# 49*10^206+41, difficulty: 208.89, anorm: 8.02e+032, rnorm: 1.81e+047
# scaled difficulty: 211.29, suggest sieving rational side
# size = 8.634e-015, alpha = 0.522, combined = 4.497e-012, rroots = 1
type: snfs
size: 208
skew: 1.2177
c5: 245
c0: 656
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 1492587076510660824215951276869688629179202460990212472155287890296412741671748514506966882852252056530767494126450395683603048679300142167683315173096161653214249885497827
# 49*10^206+41, difficulty: 209.69, anorm: 8.96e+038, rnorm: 1.49e+040
# scaled difficulty: 209.69, suggest sieving algebraic side
# size = 1.390e-010, alpha = -0.529, combined = 4.244e-012, rroots = 0
type: snfs
size: 209
skew: 0.4506
c6: 4900
c0: 41
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
08/05/24 17:38:45 v1.34.5 @ RYZEN-9, test: fb generation took 1.6102 seconds
08/05/24 17:38:45 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 20200000-20202000
skew: 0.6089
c5: 490
c0: 41
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/05/24 17:42:10 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
08/05/24 17:42:12 v1.34.5 @ RYZEN-9, test: fb generation took 1.6262 seconds
08/05/24 17:42:12 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 20200000-20202000
skew: 1.2177
c5: 245
c0: 656
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/05/24 17:45:37 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
08/05/24 17:45:39 v1.34.5 @ RYZEN-9, test: fb generation took 2.5020 seconds
08/05/24 17:45:39 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 21400000-21402000
skew: 0.4506
c6: 4900
c0: 41
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/05/24 17:49:27 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
08/05/24 17:49:27 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 1492587076510660824215951276869688629179202460990212472155287890296412741671748514506966882852252056530767494126450395683603048679300142167683315173096161653214249885497827
# 49*10^206+41, difficulty: 208.69, anorm: 2.83e+032, rnorm: 1.28e+047
# scaled difficulty: 211.13, suggest sieving rational side
# size = 1.088e-014, alpha = 1.215, combined = 5.164e-012, rroots = 1
type: snfs
size: 208
skew: 0.6089
c5: 490
c0: 41
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
08/07/24 01:46:20 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/07/24 01:48:27 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 22168210
08/07/24 03:45:40 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/07/24 03:47:51 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 23369184
08/07/24 05:44:27 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/07/24 05:46:43 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 24550149
08/07/24 07:53:49 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/07/24 07:56:10 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 25827783
08/07/24 10:12:19 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/07/24 10:14:46 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 27188836
08/07/24 12:42:08 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
08/07/24 12:46:50 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
08/07/24 17:08:28 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
08/07/24 17:12:27 v1.34.5 @ RYZEN-9, prp104 = 90004841035609790328545180829377241423526231471857984458262241517762077241958790982934553879727556308503
08/07/24 17:12:27 v1.34.5 @ RYZEN-9, prp68 = 16583408840421473690242950721126721151878009444747331795034754457109
08/07/24 17:12:28 v1.34.5 @ RYZEN-9, NFS elapsed time = 171224.7907 seconds.
08/07/24 17:12:28 v1.34.5 @ RYZEN-9,
08/07/24 17:12:28 v1.34.5 @ RYZEN-9,
08/05/24 17:49:27 v1.34.5 @ RYZEN-9, test: test sieving took 643.99 seconds

YAFU

4086675658349856326254320846253165900278361107588569506667427945500372877268170613563333327852316410337191140172718208654628537434293304984630263039488477967303604823583562287510488847<184>

11235078601044150728545127814966919452241666573920110148180822675163282353353264473866531689639259289158928730056460019297670866536148850641792176692763266375811<161>

149511525976835907680657617153619689331657<42>
75145233972027159067534020288722305805027893713305566911410254879352983440464342999164928411702284371546410106411526123<119>

GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on five
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Wed Nov 15 16:12:21 2023 
Input number is 11235078601044150728545127814966919452241666573920110148180822675163282353353264473866531689639259289158928730056460019297670866536148850641792176692763266375811 (161 digits)
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 4032MB of memory
P = 111546435, l = 16777216, s_1 = 7299072, k = s_2 = 5, m_1 = 13
Using B1=4000000000-4000000000, B2=2114508355760232, polynomial x^1
Probability of finding a factor of n digits (assuming one exists):
20  25      30      35      40      45      50      55      60      65
0.77    0.5     0.25    0.11    0.04    0.013   0.0039  0.0011  0.00026 6.1e-05
Step 1 took 0ms
Computing F from factored S_1 took 37080ms
Computing h took 4183ms
Computing DCT-I of h took 11259ms
Multi-point evaluation 1 of 5:
Computing g_i took 15825ms
Computing g*h took 24001ms
Computing gcd of coefficients and N took 6107ms
Step 2 took 98876ms
********** Factor found in step 2: 149511525976835907680657617153619689331657
Found prime factor of 42 digits: 149511525976835907680657617153619689331657
Prime cofactor 75145233972027159067534020288722305805027893713305566911410254879352983440464342999164928411702284371546410106411526123 has 119 digits
Peak memory usage: 4117MB

1080 ti for Stage 1

5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<214>

7664020863818392582730934287384539200365181891428879705383975143103380444381634498604233471151<94>
710390086507658097276892851249834170471892304757790313964886130721446506832366797693131924000530058027476752750273975599<120>

# siever: 14e
# qrange: 8M .. 45M
Tue Feb 07 19:08:35 2017  
Tue Feb 07 19:08:36 2017  
Tue Feb 07 19:08:36 2017  Msieve v. 1.53 (SVN unknown)
Tue Feb 07 19:08:36 2017  random seeds: ed9911e8 77ca3b2e
Tue Feb 07 19:08:36 2017  factoring 5444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (214 digits)
Tue Feb 07 19:08:38 2017  no P-1/P+1/ECM available, skipping
Tue Feb 07 19:08:38 2017  commencing number field sieve (214-digit input)
Tue Feb 07 19:08:38 2017  R0: -100000000000000000000000000000000000
Tue Feb 07 19:08:38 2017  R1: 1
Tue Feb 07 19:08:38 2017  A0: 41
Tue Feb 07 19:08:38 2017  A1: 0
Tue Feb 07 19:08:38 2017  A2: 0
Tue Feb 07 19:08:38 2017  A3: 0
Tue Feb 07 19:08:38 2017  A4: 0
Tue Feb 07 19:08:38 2017  A5: 0
Tue Feb 07 19:08:38 2017  A6: 49000
Tue Feb 07 19:08:38 2017  skew 0.31, size 5.554e-011, alpha -0.963, combined = 2.231e-012 rroots = 0
Tue Feb 07 19:08:38 2017  
Tue Feb 07 19:08:38 2017  commencing relation filtering
Tue Feb 07 19:08:38 2017  setting target matrix density to 80.0
Tue Feb 07 19:08:38 2017  estimated available RAM is 24567.3 MB
Tue Feb 07 19:08:38 2017  commencing duplicate removal, pass 1
Tue Feb 07 19:20:32 2017  skipped 4 relations with b > 2^32
Tue Feb 07 19:20:32 2017  found 10543409 hash collisions in 51575316 relations
Tue Feb 07 19:20:54 2017  commencing duplicate removal, pass 2
Tue Feb 07 19:21:18 2017  found 10702994 duplicates and 40872322 unique relations
Tue Feb 07 19:21:18 2017  memory use: 330.4 MB
Tue Feb 07 19:21:19 2017  reading ideals above 720000
Tue Feb 07 19:21:19 2017  commencing singleton removal, initial pass
Tue Feb 07 19:29:44 2017  memory use: 1378.0 MB
Tue Feb 07 19:29:45 2017  reading all ideals from disk
Tue Feb 07 19:29:46 2017  memory use: 1456.1 MB
Tue Feb 07 19:29:49 2017  keeping 43349414 ideals with weight <= 200, target excess is 218608
Tue Feb 07 19:29:53 2017  commencing in-memory singleton removal
Tue Feb 07 19:29:57 2017  begin with 40872322 relations and 43349414 unique ideals
Tue Feb 07 19:30:31 2017  reduce to 19187526 relations and 18608399 ideals in 18 passes
Tue Feb 07 19:30:31 2017  max relations containing the same ideal: 125
Tue Feb 07 19:30:40 2017  removing 1713166 relations and 1550395 ideals in 162771 cliques
Tue Feb 07 19:30:40 2017  commencing in-memory singleton removal
Tue Feb 07 19:30:42 2017  begin with 17474360 relations and 18608399 unique ideals
Tue Feb 07 19:30:56 2017  reduce to 17325069 relations and 16906687 ideals in 10 passes
Tue Feb 07 19:30:56 2017  max relations containing the same ideal: 115
Tue Feb 07 19:31:03 2017  removing 1247448 relations and 1084677 ideals in 162771 cliques
Tue Feb 07 19:31:03 2017  commencing in-memory singleton removal
Tue Feb 07 19:31:05 2017  begin with 16077621 relations and 16906687 unique ideals
Tue Feb 07 19:31:19 2017  reduce to 15994486 relations and 15737970 ideals in 11 passes
Tue Feb 07 19:31:19 2017  max relations containing the same ideal: 110
Tue Feb 07 19:31:29 2017  relations with 0 large ideals: 7814
Tue Feb 07 19:31:29 2017  relations with 1 large ideals: 3002
Tue Feb 07 19:31:29 2017  relations with 2 large ideals: 27518
Tue Feb 07 19:31:29 2017  relations with 3 large ideals: 220122
Tue Feb 07 19:31:29 2017  relations with 4 large ideals: 966090
Tue Feb 07 19:31:29 2017  relations with 5 large ideals: 2539892
Tue Feb 07 19:31:29 2017  relations with 6 large ideals: 4094639
Tue Feb 07 19:31:29 2017  relations with 7+ large ideals: 8135409
Tue Feb 07 19:31:29 2017  commencing 2-way merge
Tue Feb 07 19:31:39 2017  reduce to 9682864 relation sets and 9426348 unique ideals
Tue Feb 07 19:31:39 2017  commencing full merge
Tue Feb 07 19:34:20 2017  memory use: 1162.3 MB
Tue Feb 07 19:34:21 2017  found 4843369 cycles, need 4818548
Tue Feb 07 19:34:22 2017  weight of 4818548 cycles is about 385541949 (80.01/cycle)
Tue Feb 07 19:34:22 2017  distribution of cycle lengths:
Tue Feb 07 19:34:22 2017  1 relations: 630765
Tue Feb 07 19:34:22 2017  2 relations: 584767
Tue Feb 07 19:34:22 2017  3 relations: 554446
Tue Feb 07 19:34:22 2017  4 relations: 482871
Tue Feb 07 19:34:22 2017  5 relations: 425818
Tue Feb 07 19:34:22 2017  6 relations: 356650
Tue Feb 07 19:34:22 2017  7 relations: 303834
Tue Feb 07 19:34:22 2017  8 relations: 258832
Tue Feb 07 19:34:22 2017  9 relations: 217697
Tue Feb 07 19:34:22 2017  10+ relations: 1002868
Tue Feb 07 19:34:22 2017  heaviest cycle: 27 relations
Tue Feb 07 19:34:22 2017  commencing cycle optimization
Tue Feb 07 19:34:28 2017  start with 29557403 relations
Tue Feb 07 19:35:19 2017  pruned 726141 relations
Tue Feb 07 19:35:19 2017  memory use: 950.4 MB
Tue Feb 07 19:35:19 2017  distribution of cycle lengths:
Tue Feb 07 19:35:19 2017  1 relations: 630765
Tue Feb 07 19:35:19 2017  2 relations: 597181
Tue Feb 07 19:35:19 2017  3 relations: 573091
Tue Feb 07 19:35:19 2017  4 relations: 493501
Tue Feb 07 19:35:19 2017  5 relations: 434593
Tue Feb 07 19:35:19 2017  6 relations: 360761
Tue Feb 07 19:35:19 2017  7 relations: 305986
Tue Feb 07 19:35:19 2017  8 relations: 258168
Tue Feb 07 19:35:19 2017  9 relations: 215436
Tue Feb 07 19:35:19 2017  10+ relations: 949066
Tue Feb 07 19:35:19 2017  heaviest cycle: 27 relations
Tue Feb 07 19:35:30 2017  RelProcTime: 1612
Tue Feb 07 19:35:30 2017  
Tue Feb 07 19:35:30 2017  commencing linear algebra
Tue Feb 07 19:35:30 2017  read 4818548 cycles
Tue Feb 07 19:35:38 2017  cycles contain 15695976 unique relations
Tue Feb 07 19:38:19 2017  read 15695976 relations
Tue Feb 07 19:38:41 2017  using 20 quadratic characters above 536870880
Tue Feb 07 19:39:53 2017  building initial matrix
Tue Feb 07 19:42:46 2017  memory use: 1956.8 MB
Tue Feb 07 19:42:54 2017  read 4818548 cycles
Tue Feb 07 19:42:55 2017  matrix is 4818369 x 4818548 (1596.4 MB) with weight 466373682 (96.79/col)
Tue Feb 07 19:42:55 2017  sparse part has weight 370289002 (76.85/col)
Tue Feb 07 19:43:51 2017  filtering completed in 2 passes
Tue Feb 07 19:43:52 2017  matrix is 4814826 x 4815005 (1596.1 MB) with weight 466257833 (96.83/col)
Tue Feb 07 19:43:52 2017  sparse part has weight 370248080 (76.89/col)
Tue Feb 07 19:45:02 2017  matrix starts at (0, 0)
Tue Feb 07 19:45:03 2017  matrix is 4814826 x 4815005 (1596.1 MB) with weight 466257833 (96.83/col)
Tue Feb 07 19:45:03 2017  sparse part has weight 370248080 (76.89/col)
Tue Feb 07 19:45:03 2017  saving the first 48 matrix rows for later
Tue Feb 07 19:45:05 2017  matrix includes 64 packed rows
Tue Feb 07 19:45:05 2017  matrix is 4814778 x 4815005 (1530.5 MB) with weight 379802645 (78.88/col)
Tue Feb 07 19:45:06 2017  sparse part has weight 353059894 (73.32/col)
Tue Feb 07 19:45:06 2017  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Tue Feb 07 19:45:28 2017  commencing Lanczos iteration (12 threads)
Tue Feb 07 19:45:28 2017  memory use: 1257.3 MB
Tue Feb 07 19:45:39 2017  linear algebra at 0.0%, ETA 9h42m
Tue Feb 07 19:45:43 2017  checkpointing every 490000 dimensions
Wed Feb 08 05:15:57 2017  lanczos halted after 76140 iterations (dim = 4814778)
Wed Feb 08 05:16:09 2017  recovered 37 nontrivial dependencies
Wed Feb 08 05:16:11 2017  BLanczosTime: 34841
Wed Feb 08 05:16:11 2017  
Wed Feb 08 05:16:11 2017  commencing square root phase
Wed Feb 08 05:16:11 2017  handling dependencies 1 to 64
Wed Feb 08 05:16:11 2017  reading relations for dependency 1
Wed Feb 08 05:16:13 2017  read 2406401 cycles
Wed Feb 08 05:16:16 2017  cycles contain 7850294 unique relations
Wed Feb 08 05:17:41 2017  read 7850294 relations
Wed Feb 08 05:18:25 2017  multiplying 7850294 relations
Wed Feb 08 05:33:01 2017  multiply complete, coefficients have about 302.66 million bits
Wed Feb 08 05:33:04 2017  initial square root is modulo 269623
Wed Feb 08 05:50:43 2017  sqrtTime: 2072
Wed Feb 08 05:50:43 2017  prp94 factor: 7664020863818392582730934287384539200365181891428879705383975143103380444381634498604233471151
Wed Feb 08 05:50:43 2017  prp120 factor: 710390086507658097276892851249834170471892304757790313964886130721446506832366797693131924000530058027476752750273975599
Wed Feb 08 05:50:43 2017  elapsed time 10:42:07

461458219414637173431932195819834033981231985705656043194837980957172434375644877048349764304357037686001110394650639128359140881276112649696092978628935222939092799907992166964270393<183>

1870364885063393939514503308586640445184727418762021245468492696032986476405134366489985922848542909121530759402412619180871688894089980071399763931753124040775667089613579256734336887359411051585987<199>

1699231551252566671254670603976358084303825717991636522011523151236677130745298784507257606011931293670792038834267957828420555979631426679456423804972167915565116945136763111765613<181>

109855762230415875356510510492746180441368010327888684631589151052298054631177<78>
15467841802312839653314975452625796293425275806109752762422607048980438309396486523635071736259484627269<104>

Number: 54449_220
N = 1699231551252566671254670603976358084303825717991636522011523151236677130745298784507257606011931293670792038834267957828420555979631426679456423804972167915565116945136763111765613 (181 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=109855762230415875356510510492746180441368010327888684631589151052298054631177 (pp78)
r2=15467841802312839653314975452625796293425275806109752762422607048980438309396486523635071736259484627269 (pp104)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 72.59 hours.
Factorization parameters were as follows:
n: 1699231551252566671254670603976358084303825717991636522011523151236677130745298784507257606011931293670792038834267957828420555979631426679456423804972167915565116945136763111765613
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 49
c0: 41
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30605821
Relations: 7828384 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 29.66 hours.
Total relation processing time: 0.29 hours.
Pruned matrix : 6788646 x 6788871
Matrix solve time: 42.42 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 72.59 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

3459971471186897051920116193601615611273086349694503894964128013636172332982211199894246702788565106709870219003508925639018252567161496727263189366469583<154>

10726308985433837445134213259052098049079893589317852455721<59>
322568693097083542035088534903400148113987991012367504446526605188714178042981357300135063828023<96>

Number: 54449_221
N = 3459971471186897051920116193601615611273086349694503894964128013636172332982211199894246702788565106709870219003508925639018252567161496727263189366469583 (154 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=10726308985433837445134213259052098049079893589317852455721 (pp59)
r2=322568693097083542035088534903400148113987991012367504446526605188714178042981357300135063828023 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 109.74 hours.
Factorization parameters were as follows:
n: 3459971471186897051920116193601615611273086349694503894964128013636172332982211199894246702788565106709870219003508925639018252567161496727263189366469583
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 490
c0: 41
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 28622559
Relations: 10759528 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 48.78 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 9235149 x 9235374
Matrix solve time: 57.98 hours.
time per square root: 2.71 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 109.74 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

76682316118935837245696400625978090766823161189358372456964006259780907668231611893583724569640062597809076682316118935837245696400625978090766823161189358372456964006259780907668231611893583724569640062597809076682316119<221>

186932731272277265903472041901700791091642164139<48>
410213425958261141484551955220639769275772887157551767181961798266556385247527442980456784377139141904875377044918039220814703140481736198204574759328117310395416575315522821<174>

Number: n
N=76682316118935837245696400625978090766823161189358372456964006259780907668231611893583724569640062597809076682316118935837245696400625978090766823161189358372456964006259780907668231611893583724569640062597809076682316119
  ( 221 digits)
SNFS difficulty: 223 digits.
Divisors found:

Mon Apr 22 10:21:36 2019  p48 factor: 186932731272277265903472041901700791091642164139
Mon Apr 22 10:21:36 2019  p174 factor: 4102134259582611414845519552206397692757728871575517671819617982665563852475274429804567843771391419048753770449180392208147031404817361982045747593281173103954165753155
22821
Mon Apr 22 10:21:36 2019  elapsed time 18:31:11 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.118).
Factorization parameters were as follows:
#
# N = 49x10^222+41 = 54(221)9
#
n: 76682316118935837245696400625978090766823161189358372456964006259780907668231611893583724569640062597809076682316118935837245696400625978090766823161189358372456964006259780907668231611893583724569640062597809076682316119
m: 10000000000000000000000000000000000000
deg: 6
c6: 49
c0: 41
skew: 0.97
# Murphy_E = 1.331e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 44100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 11346929 hash collisions in 57876131 relations (47974588 unique)
Msieve: matrix is 6105381 x 6105606 (2136.7 MB)

Sieving start time: 2019/04/20 22:11:49
Sieving end time  : 2019/04/21 15:48:41

Total sieving time: 17hrs 36min 52secs.

Total relation processing time: 17hrs 43min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 26min 53sec.

Prototype def-par.txt line would be:
snfs,223,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16285104K/16703460K available (12300K kernel code, 2473K rwdata, 4252K rodata, 2408K init, 2416K bss, 418356K reserved, 0K cma-reserved)
[    0.080571] x86/mm: Memory block size: 128MB
[    0.032000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.46 BogoMIPS (lpj=11976920)
[    0.078216] smpboot: Total of 16 processors activated (95815.36 BogoMIPS)

21053435856698460451558872517856290927200847978314826125560496030486181814603272507294885237628773616532770316506944725632439267169085203762585888780162073295211913343497297929762505041965701519806303794306286303<212>

2030887485759874104916797219551808851064067<43>
62224589595704276505508986552677218382078257104138512215496780239540459242359483<80>
166600030703024716356027760858749946402942828043664937552580673634849002936300079647627023<90>

Number: n
N=21053435856698460451558872517856290927200847978314826125560496030486181814603272507294885237628773616532770316506944725632439267169085203762585888780162073295211913343497297929762505041965701519806303794306286303  ( 212 digits)
SNFS difficulty: 224 digits.
Divisors found:

Wed May 20 15:55:48 2020  found factor: 166600030703024716356027760858749946402942828043664937552580673634849002936300079647627023
Wed May 20 16:09:04 2020  found factor: 166600030703024716356027760858749946402942828043664937552580673634849002936300079647627023
Wed May 20 16:22:18 2020  p43 factor: 2030887485759874104916797219551808851064067
Wed May 20 16:22:18 2020  p80 factor: 62224589595704276505508986552677218382078257104138512215496780239540459242359483
Wed May 20 16:22:18 2020  p90 factor: 166600030703024716356027760858749946402942828043664937552580673634849002936300079647627023
Wed May 20 16:22:18 2020  elapsed time 15:13:07 (Msieve 1.54 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.116).
Factorization parameters were as follows:
#
# N = 49x10^223+41 = 54(222)9
#
n: 21053435856698460451558872517856290927200847978314826125560496030486181814603272507294885237628773616532770316506944725632439267169085203762585888780162073295211913343497297929762505041965701519806303794306286303
m: 10000000000000000000000000000000000000
deg: 6
c6: 490
c0: 41
skew: 0.66
# Murphy_E = 1.431e-12
type: snfs
lss: 1
rlim: 39000000
alim: 39000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
Factor base limits: 39000000/39000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved  special-q in [100000, 81100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9916417 hash collisions in 57621592 relations (49717298 unique)
Msieve: matrix is 5628511 x 5628736 (1971.4 MB)

Sieving start time: 2020/05/18 09:20:05
Sieving end time  : 2020/05/20 01:08:09

Total sieving time: 39hrs 48min 4secs.

Total relation processing time: 14hrs 11min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 39min 46sec.

Prototype def-par.txt line would be:
snfs,224,6,0,0,0,0,0,0,0,0,39000000,39000000,29,29,59,59,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149449] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283224K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420236K reserved, 0K cma-reserved)
[    0.184573] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976580)
[    0.182230] smpboot: Total of 16 processors activated (95812.64 BogoMIPS)

113355751517755217930785970472252486854660086533381663945345234659500740969595849722286735475535566694921220416308240651507684625396859325625973599812089090258598057197384529351241894575750237010349<198>

337907718875120741992946679826144263185363639<45>
335463634554165564067092114410379233556826251071105565668947042601648578374790194289457328125824281985532878911534338360448400432443801959602447064072891<153>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2259498539
Step 1 took 19219ms
Step 2 took 12934ms
********** Factor found in step 2: 337907718875120741992946679826144263185363639
Found probable prime factor of 45 digits: 337907718875120741992946679826144263185363639
Probable prime cofactor

3221971890320014729169441111536183402249166150128396380495053622370293880234944847447115567905255841419666752611192389512010596272055291224218242568901509986598539641518087678766795971<184>

94371491352409662017243894368427827763462633344725006623044551249700311561537086682884116023107010677698998259809088978854746429452933220594465774275985672990075281399594613087<176>

23521645285567773570838830776021869<35>

4012112682028811169242179047402376969883108841904511254162408048349996516140188057494732687462654443165875830278690530376217256294115656012923<142>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2137482703
Step 1 took 22764ms
Step 2 took 8930ms
********** Factor found in step 2: 23521645285567773570838830776021869
Found probable prime factor of 35 digits: 23521645285567773570838830776021869

4012112682028811169242179047402376969883108841904511254162408048349996516140188057494732687462654443165875830278690530376217256294115656012923<142>

197821033923143009775860087565503951278999<42>
20281527209020595391673580019210720960583134129285411661623808902093871126668434639443263227722470077<101>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2560422610
Step 1 took 29750ms
Step 2 took 18828ms
********** Factor found in step 2: 197821033923143009775860087565503951278999
Found probable prime factor of 42 digits: 197821033923143009775860087565503951278999
Probable prime cofactor 20281527209020595391673580019210720960583134129285411661623808902093871126668434639443263227722470077 has 101 digits

GMP-ECM 7.0

2068283937210392196848630859579604340550763953406325936607700140369892838597262868839870717603687933850061178482018466625980772581905543493985147657187257538567903968673193392422790942567300522021074189827601<208>

689528354743285956984502950903191869112063<42>

2999563285516260190858079701333474835159894536140310800796048004054948390401997087128039265625723946401795451235294273655321867382478512427633294715634983264841241327<166>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=388252721
Step 1 took 11241ms
Step 2 took 6925ms
********** Factor found in step 2: 689528354743285956984502950903191869112063
Found probable prime factor of 42 digits: 689528354743285956984502950903191869112063
Composite cofactor

2999563285516260190858079701333474835159894536140310800796048004054948390401997087128039265625723946401795451235294273655321867382478512427633294715634983264841241327<166>

84011447788285708588418887568122561769<38>

35704220847084483151643492725438839588400391048178724846299746098000067859897250446472074221979493984029611815936373862823170583<128>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2383118531
Step 1 took 19495ms
Step 2 took 8227ms
********** Factor found in step 2: 84011447788285708588418887568122561769
Found probable prime factor of 38 digits: 84011447788285708588418887568122561769

35704220847084483151643492725438839588400391048178724846299746098000067859897250446472074221979493984029611815936373862823170583<128>

3403571803458604441858286684894218413878638711934151739<55>
10490221129110000781657666962622341020788950891280681229078033345896202197<74>

Number: 54449_227
N = 35704220847084483151643492725438839588400391048178724846299746098000067859897250446472074221979493984029611815936373862823170583 (128 digits)
Divisors found:
r1=3403571803458604441858286684894218413878638711934151739 (pp55)
r2=10490221129110000781657666962622341020788950891280681229078033345896202197 (pp74)
Version: Msieve v. 1.51 (SVN 845)
Total time: 55.17 hours.
Factorization parameters were as follows:
# Murphy_E = 1.042e-10, selected by Erik Branger
n: 35704220847084483151643492725438839588400391048178724846299746098000067859897250446472074221979493984029611815936373862823170583
Y0: -6238001168256270854245446
Y1: 8894838347561
c0: -250747980511490561754849180886375
c1: -15126531415377549646663988525
c2: -11345716562816516387237
c3: 35282718112526849
c4: 3061324596
c5: 3780
skew: 1007579.69
type: gnfs
# selected mechanically
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 21175951
Relations: 1306090 relations
Pruned matrix : 851328 x 851554
Polynomial selection time: 0.00 hours.
Total sieving time: 54.46 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.53 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,8400000,8400000,28,28,53,53,2.5,2.5,100000
total time: 55.17 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

196550340954673084636983553951062976333734456478138788608102687525070196550340954673084636983553951062976333734456478138788608102687525070196550340954673084636983553951062976333734456478138788608102687525070196550340954673084637<228>

2102489517247520337003668989526489209<37>
93484575947844666896252569352149054843321947465309043755380566742832261784073854920584859070660149804418659675143581143976594097068624180604423548108447215280428996195605137139093858569269893<191>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2752348576
Step 1 took 14057ms
Step 2 took 7853ms
********** Factor found in step 2: 2102489517247520337003668989526489209
Found probable prime factor of 37 digits: 2102489517247520337003668989526489209
Probable prime cofactor

41605075079812155880437230720690922267435138344527855033187424999298251669938988793800039046591150919584107554592673444727381200813272947915824637922560761099232700216358330131700873174258925286900409<200>

1772379010032354557072915375584133689052787946263031773394191026883522540482047543792299532625234468795589409528903876043640687499126052062844295924030945943610213147604655446632829420361192343100287039824830539<211>

1766776170732595542027098019660252548033776433585621759182638864099937513814206539018891164063916913925188927866134614642680336466296220577317550613630209420666882285472809134449142626792331326059263441831418544587481200960693557<229>

11971282899651934299320702204024387745905417<44>
147584530876299369316214440107770246132443223542774536300417089455545101024725700711851321447768366561246843789137850251263282822794094637762155477257329514727390582337664003228557289421<186>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=645117679
Step 1 took 154580ms
Step 2 took 46886ms
********** Factor found in step 2: 11971282899651934299320702204024387745905417
Found probable prime factor of 44 digits: 11971282899651934299320702204024387745905417

10823945217583388557543627126132096311022752374641042633090346808040645018776231499889551579412414402474044621161917384581400485973050585376629114203666887563507841837861718577424342831897503865694720565495913408438259332891539650983<233>

3145292464644149599532361898630754216140014867770891739329750874227382685827203550760289810994475102012685137998721895882544765220631933220335143008449474287752233039871163383277104781802078023584143077469401308340834520331017<226>

8810016288073147440047102001868784600242747778500994828522506437675018423180175228569175965122363625630842604426658807912788185688692597286650935696939959232663065952918811725805376965813671<190>

40677898668475561716500343396722129<35>
216579926113555810449442114085365490785714484382834784244417753876222906809500330861082404170380525611091913803457401800935635168040406571357314484178590199<156>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3241139852
Step 1 took 9689ms
Step 2 took 6200ms
********** Factor found in step 2: 40677898668475561716500343396722129
Found probable prime factor of 35 digits: 40677898668475561716500343396722129

2069410301847824180782608227474562453365264126755826222771400256088208039948034225846040760094737123838654191944536420326879892309688056988112483212529631342717531855374394612985707109362969411214530810935511<208>

2843966282270767073798487804803399073961882336099383630311305521116885838021313179486400798502645844155387870308208918542730240564266092932907559626310974772618016678001326907886905745320328339<193>

15255646584524933628401491035679228409278319934874976415134002189573457236804646389029777056016204826506581623879794571161151159888845842227514598169554567636169<161>

1748071536158779180854664995155104802634364767781331442996925897<64>
8727129450347189431647345084977485619721789420910137173959135875597078734671425439617710685509377<97>

Wed Nov 27 08:02:29 2024  
Wed Nov 27 08:02:29 2024  
Wed Nov 27 08:02:29 2024  Msieve v. 1.54 (SVN Unversioned directory)
Wed Nov 27 08:02:29 2024  random seeds: aabf1970 ed48689f
Wed Nov 27 08:02:29 2024  MPI process 0 of 1
Wed Nov 27 08:02:29 2024  factoring 15255646584524933628401491035679228409278319934874976415134002189573457236804646389029777056016204826506581623879794571161151159888845842227514598169554567636169 (161 digits)
Wed Nov 27 08:02:29 2024  searching for 15-digit factors
Wed Nov 27 08:02:30 2024  commencing number field sieve (161-digit input)
Wed Nov 27 08:02:30 2024  R0: -14759322620554860717863900771803
Wed Nov 27 08:02:30 2024  R1: 97732313884131330359521
Wed Nov 27 08:02:30 2024  A0: -147431151215967772598262046551883961400
Wed Nov 27 08:02:30 2024  A1: 244684869077978318011366722701654
Wed Nov 27 08:02:30 2024  A2: 154081862015238424732000183
Wed Nov 27 08:02:30 2024  A3: -9675343081218280969
Wed Nov 27 08:02:30 2024  A4: -975106081068
Wed Nov 27 08:02:30 2024  A5: 50400
Wed Nov 27 08:02:30 2024  skew 4020010.77, size 1.858e-15, alpha -7.520, combined = 1.599e-12 rroots = 5
Wed Nov 27 08:02:30 2024  
Wed Nov 27 08:02:30 2024  commencing relation filtering
Wed Nov 27 08:02:30 2024  setting target matrix density to 140.0
Wed Nov 27 08:02:30 2024  estimated available RAM is 64046.8 MB
Wed Nov 27 08:02:30 2024  commencing duplicate removal, pass 1
Wed Nov 27 08:04:35 2024  error -9 reading relation 31093243
Wed Nov 27 08:10:06 2024  error -9 reading relation 118162641
Wed Nov 27 08:11:33 2024  error -9 reading relation 141361220
Wed Nov 27 08:12:00 2024  error -15 reading relation 149187686
Wed Nov 27 08:12:11 2024  error -15 reading relation 152378061
Wed Nov 27 08:12:23 2024  error -9 reading relation 155704131
Wed Nov 27 08:12:28 2024  error -15 reading relation 157012605
Wed Nov 27 08:12:48 2024  error -9 reading relation 162693514
Wed Nov 27 08:12:59 2024  error -15 reading relation 166139222
Wed Nov 27 08:14:54 2024  error -9 reading relation 200299843
Wed Nov 27 08:14:55 2024  error -9 reading relation 200820530
Wed Nov 27 08:14:56 2024  error -15 reading relation 200865206
Wed Nov 27 08:15:01 2024  error -15 reading relation 202128586
Wed Nov 27 08:15:08 2024  error -9 reading relation 203938228
Wed Nov 27 08:15:08 2024  error -15 reading relation 203961191
Wed Nov 27 08:15:12 2024  skipped 9 relations with composite factors
Wed Nov 27 08:15:12 2024  found 9187038 hash collisions in 204909853 relations
Wed Nov 27 08:15:27 2024  added 121557 free relations
Wed Nov 27 08:15:27 2024  commencing duplicate removal, pass 2
Wed Nov 27 08:16:08 2024  found 3 duplicates and 205031407 unique relations
Wed Nov 27 08:16:08 2024  memory use: 522.4 MB
Wed Nov 27 08:16:08 2024  reading ideals above 720000
Wed Nov 27 08:16:08 2024  commencing singleton removal, initial pass
Wed Nov 27 08:29:16 2024  memory use: 5512.0 MB
Wed Nov 27 08:29:16 2024  reading all ideals from disk
Wed Nov 27 08:29:20 2024  memory use: 7627.1 MB
Wed Nov 27 08:29:30 2024  keeping 191403425 ideals with weight <= 200, target excess is 1099458
Wed Nov 27 08:29:45 2024  commencing in-memory singleton removal
Wed Nov 27 08:29:52 2024  begin with 205031407 relations and 191403425 unique ideals
Wed Nov 27 08:30:47 2024  reduce to 105368801 relations and 79813282 ideals in 13 passes
Wed Nov 27 08:30:47 2024  max relations containing the same ideal: 137
Wed Nov 27 08:31:19 2024  removing 10164485 relations and 8164485 ideals in 2000000 cliques
Wed Nov 27 08:31:21 2024  commencing in-memory singleton removal
Wed Nov 27 08:31:24 2024  begin with 95204316 relations and 79813282 unique ideals
Wed Nov 27 08:31:51 2024  reduce to 94492530 relations and 70920032 ideals in 8 passes
Wed Nov 27 08:31:51 2024  max relations containing the same ideal: 125
Wed Nov 27 08:32:19 2024  removing 7753321 relations and 5753321 ideals in 2000000 cliques
Wed Nov 27 08:32:20 2024  commencing in-memory singleton removal
Wed Nov 27 08:32:23 2024  begin with 86739209 relations and 70920032 unique ideals
Wed Nov 27 08:32:47 2024  reduce to 86254652 relations and 64671742 ideals in 8 passes
Wed Nov 27 08:32:47 2024  max relations containing the same ideal: 117
Wed Nov 27 08:33:13 2024  removing 7064929 relations and 5064929 ideals in 2000000 cliques
Wed Nov 27 08:33:14 2024  commencing in-memory singleton removal
Wed Nov 27 08:33:17 2024  begin with 79189723 relations and 64671742 unique ideals
Wed Nov 27 08:33:36 2024  reduce to 78761464 relations and 59169026 ideals in 7 passes
Wed Nov 27 08:33:36 2024  max relations containing the same ideal: 113
Wed Nov 27 08:34:00 2024  removing 6711193 relations and 4711193 ideals in 2000000 cliques
Wed Nov 27 08:34:01 2024  commencing in-memory singleton removal
Wed Nov 27 08:34:03 2024  begin with 72050271 relations and 59169026 unique ideals
Wed Nov 27 08:34:23 2024  reduce to 71644869 relations and 54043002 ideals in 8 passes
Wed Nov 27 08:34:23 2024  max relations containing the same ideal: 105
Wed Nov 27 08:34:45 2024  removing 6477883 relations and 4477883 ideals in 2000000 cliques
Wed Nov 27 08:34:46 2024  commencing in-memory singleton removal
Wed Nov 27 08:34:48 2024  begin with 65166986 relations and 54043002 unique ideals
Wed Nov 27 08:35:03 2024  reduce to 64767981 relations and 49156040 ideals in 7 passes
Wed Nov 27 08:35:03 2024  max relations containing the same ideal: 100
Wed Nov 27 08:35:23 2024  removing 6322430 relations and 4322430 ideals in 2000000 cliques
Wed Nov 27 08:35:24 2024  commencing in-memory singleton removal
Wed Nov 27 08:35:26 2024  begin with 58445551 relations and 49156040 unique ideals
Wed Nov 27 08:35:40 2024  reduce to 58041171 relations and 44417745 ideals in 7 passes
Wed Nov 27 08:35:40 2024  max relations containing the same ideal: 89
Wed Nov 27 08:35:57 2024  removing 6208780 relations and 4208780 ideals in 2000000 cliques
Wed Nov 27 08:35:58 2024  commencing in-memory singleton removal
Wed Nov 27 08:36:00 2024  begin with 51832391 relations and 44417745 unique ideals
Wed Nov 27 08:36:12 2024  reduce to 51413017 relations and 39776631 ideals in 7 passes
Wed Nov 27 08:36:12 2024  max relations containing the same ideal: 81
Wed Nov 27 08:36:28 2024  removing 6127379 relations and 4127379 ideals in 2000000 cliques
Wed Nov 27 08:36:29 2024  commencing in-memory singleton removal
Wed Nov 27 08:36:30 2024  begin with 45285638 relations and 39776631 unique ideals
Wed Nov 27 08:36:41 2024  reduce to 44837287 relations and 35185666 ideals in 7 passes
Wed Nov 27 08:36:41 2024  max relations containing the same ideal: 77
Wed Nov 27 08:36:54 2024  removing 6064668 relations and 4064668 ideals in 2000000 cliques
Wed Nov 27 08:36:56 2024  commencing in-memory singleton removal
Wed Nov 27 08:36:57 2024  begin with 38772619 relations and 35185666 unique ideals
Wed Nov 27 08:37:07 2024  reduce to 38288808 relations and 30618421 ideals in 8 passes
Wed Nov 27 08:37:07 2024  max relations containing the same ideal: 69
Wed Nov 27 08:37:19 2024  removing 6021614 relations and 4021614 ideals in 2000000 cliques
Wed Nov 27 08:37:20 2024  commencing in-memory singleton removal
Wed Nov 27 08:37:21 2024  begin with 32267194 relations and 30618421 unique ideals
Wed Nov 27 08:37:28 2024  reduce to 31726991 relations and 26032255 ideals in 7 passes
Wed Nov 27 08:37:28 2024  max relations containing the same ideal: 61
Wed Nov 27 08:37:38 2024  removing 5984569 relations and 3984569 ideals in 2000000 cliques
Wed Nov 27 08:37:39 2024  commencing in-memory singleton removal
Wed Nov 27 08:37:39 2024  begin with 25742422 relations and 26032255 unique ideals
Wed Nov 27 08:37:45 2024  reduce to 25121625 relations and 21393214 ideals in 7 passes
Wed Nov 27 08:37:45 2024  max relations containing the same ideal: 52
Wed Nov 27 08:37:53 2024  removing 5939075 relations and 3939075 ideals in 2000000 cliques
Wed Nov 27 08:37:54 2024  commencing in-memory singleton removal
Wed Nov 27 08:37:54 2024  begin with 19182550 relations and 21393214 unique ideals
Wed Nov 27 08:37:59 2024  reduce to 18430100 relations and 16649810 ideals in 9 passes
Wed Nov 27 08:37:59 2024  max relations containing the same ideal: 44
Wed Nov 27 08:38:05 2024  removing 1913646 relations and 1408728 ideals in 504918 cliques
Wed Nov 27 08:38:06 2024  commencing in-memory singleton removal
Wed Nov 27 08:38:06 2024  begin with 16516454 relations and 16649810 unique ideals
Wed Nov 27 08:38:10 2024  reduce to 16381790 relations and 15103101 ideals in 7 passes
Wed Nov 27 08:38:10 2024  max relations containing the same ideal: 42
Wed Nov 27 08:38:16 2024  relations with 0 large ideals: 3554
Wed Nov 27 08:38:16 2024  relations with 1 large ideals: 67062
Wed Nov 27 08:38:16 2024  relations with 2 large ideals: 660531
Wed Nov 27 08:38:16 2024  relations with 3 large ideals: 2467799
Wed Nov 27 08:38:16 2024  relations with 4 large ideals: 4539098
Wed Nov 27 08:38:16 2024  relations with 5 large ideals: 4611884
Wed Nov 27 08:38:16 2024  relations with 6 large ideals: 2785077
Wed Nov 27 08:38:16 2024  relations with 7+ large ideals: 1246785
Wed Nov 27 08:38:16 2024  commencing 2-way merge
Wed Nov 27 08:38:22 2024  reduce to 10324431 relation sets and 9045742 unique ideals
Wed Nov 27 08:38:22 2024  commencing full merge
Wed Nov 27 08:40:22 2024  memory use: 1148.2 MB
Wed Nov 27 08:40:22 2024  found 4548606 cycles, need 4447942
Wed Nov 27 08:40:23 2024  weight of 4447942 cycles is about 623088294 (140.08/cycle)
Wed Nov 27 08:40:23 2024  distribution of cycle lengths:
Wed Nov 27 08:40:23 2024  1 relations: 68344
Wed Nov 27 08:40:23 2024  2 relations: 171829
Wed Nov 27 08:40:23 2024  3 relations: 229775
Wed Nov 27 08:40:23 2024  4 relations: 258831
Wed Nov 27 08:40:23 2024  5 relations: 286440
Wed Nov 27 08:40:23 2024  6 relations: 298569
Wed Nov 27 08:40:23 2024  7 relations: 305996
Wed Nov 27 08:40:23 2024  8 relations: 306583
Wed Nov 27 08:40:23 2024  9 relations: 299628
Wed Nov 27 08:40:23 2024  10+ relations: 2221947
Wed Nov 27 08:40:23 2024  heaviest cycle: 28 relations
Wed Nov 27 08:40:24 2024  commencing cycle optimization
Wed Nov 27 08:40:30 2024  start with 45229990 relations
Wed Nov 27 08:41:34 2024  pruned 2398761 relations
Wed Nov 27 08:41:34 2024  memory use: 1129.2 MB
Wed Nov 27 08:41:34 2024  distribution of cycle lengths:
Wed Nov 27 08:41:34 2024  1 relations: 68344
Wed Nov 27 08:41:34 2024  2 relations: 177048
Wed Nov 27 08:41:34 2024  3 relations: 240930
Wed Nov 27 08:41:34 2024  4 relations: 271982
Wed Nov 27 08:41:34 2024  5 relations: 303990
Wed Nov 27 08:41:34 2024  6 relations: 317578
Wed Nov 27 08:41:34 2024  7 relations: 327954
Wed Nov 27 08:41:34 2024  8 relations: 327593
Wed Nov 27 08:41:34 2024  9 relations: 322313
Wed Nov 27 08:41:34 2024  10+ relations: 2090210
Wed Nov 27 08:41:34 2024  heaviest cycle: 27 relations
Wed Nov 27 08:41:38 2024  RelProcTime: 2348
Wed Nov 27 08:41:38 2024  
Wed Nov 27 08:41:38 2024  commencing linear algebra
Wed Nov 27 08:41:38 2024  initialized process (0,0) of 1 x 1 grid
Wed Nov 27 08:41:38 2024  read 4447942 cycles
Wed Nov 27 08:41:44 2024  cycles contain 15745276 unique relations
Wed Nov 27 08:42:37 2024  read 15745276 relations
Wed Nov 27 08:43:00 2024  using 20 quadratic characters above 4294917295
Wed Nov 27 08:43:48 2024  building initial matrix
Wed Nov 27 08:46:04 2024  memory use: 2177.9 MB
Wed Nov 27 08:46:06 2024  read 4447942 cycles
Wed Nov 27 08:46:07 2024  matrix is 4447764 x 4447942 (2378.1 MB) with weight 724595039 (162.91/col)
Wed Nov 27 08:46:07 2024  sparse part has weight 570039907 (128.16/col)
Wed Nov 27 08:46:41 2024  filtering completed in 2 passes
Wed Nov 27 08:46:41 2024  matrix is 4447631 x 4447809 (2378.1 MB) with weight 724586372 (162.91/col)
Wed Nov 27 08:46:41 2024  sparse part has weight 570036071 (128.16/col)
Wed Nov 27 08:47:02 2024  matrix starts at (0, 0)
Wed Nov 27 08:47:02 2024  matrix is 4447631 x 4447809 (2378.1 MB) with weight 724586372 (162.91/col)
Wed Nov 27 08:47:02 2024  sparse part has weight 570036071 (128.16/col)
Wed Nov 27 08:47:02 2024  saving the first 240 matrix rows for later
Wed Nov 27 08:47:03 2024  matrix includes 256 packed rows
Wed Nov 27 08:47:03 2024  matrix is 4447391 x 4447809 (2114.8 MB) with weight 517207381 (116.28/col)
Wed Nov 27 08:47:03 2024  sparse part has weight 483210462 (108.64/col)
Wed Nov 27 08:47:03 2024  using block size 8192 and superblock size 294912 for processor cache size 12288 kB
Wed Nov 27 08:47:11 2024  commencing Lanczos iteration (8 threads)
Wed Nov 27 08:47:11 2024  memory use: 2926.5 MB
Wed Nov 27 08:47:20 2024  linear algebra at 0.0%, ETA 5h39m
Wed Nov 27 08:47:22 2024  checkpointing every 820000 dimensions
Wed Nov 27 14:23:59 2024  lanczos halted after 17426 iterations (dim = 4447390)
Wed Nov 27 14:24:12 2024  recovered 29 nontrivial dependencies
Wed Nov 27 14:24:12 2024  BLanczosTime: 20554
Wed Nov 27 14:24:12 2024  
Wed Nov 27 14:24:12 2024  commencing square root phase
Wed Nov 27 14:24:12 2024  handling dependencies 1 to 64
Wed Nov 27 14:24:12 2024  reading relations for dependency 1
Wed Nov 27 14:24:13 2024  read 2224581 cycles
Wed Nov 27 14:24:15 2024  cycles contain 7877170 unique relations
Wed Nov 27 14:24:42 2024  read 7877170 relations
Wed Nov 27 14:25:03 2024  multiplying 7877170 relations
Wed Nov 27 14:28:25 2024  multiply complete, coefficients have about 410.99 million bits
Wed Nov 27 14:28:26 2024  initial square root is modulo 23686921
Wed Nov 27 14:32:30 2024  sqrtTime: 498
Wed Nov 27 14:32:30 2024  p64 factor: 1748071536158779180854664995155104802634364767781331442996925897
Wed Nov 27 14:32:30 2024  p97 factor: 8727129450347189431647345084977485619721789420910137173959135875597078734671425439617710685509377
Wed Nov 27 14:32:30 2024  elapsed time 06:30:01

NFS@Home, msieve

ubuntu 24.04, i3-12100, 64GB RAM

136029954387821730971664915867841308245244362305665468411016654459510290215598404440991532928266825079336714956663133922352178412719979855513495827585453553195335101833412213971488213494983010101353975392894838449089280581<222>

2664014024863349298601175150283956599<37>

51062026370074907053081652726057450185012866080503398002556102368462667085798889602142061595666833762092502443895881632132989438707336864611207059450335330924225419898520936803959574819<185>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=185853922
Step 1 took 13945ms
Step 2 took 7848ms
********** Factor found in step 2: 2664014024863349298601175150283956599
Found probable prime factor of 37 digits: 2664014024863349298601175150283956599
Composite cofactor

71298780257103897054663261547665031262535015927310245259313087710321572728452054681781651903080018147066058537149328488769804930518904931883833040163045317831319436083112674251580591594047179390938898402809207019433<215>

17223804000140602481633800836584765721114977679356040634117192168441772997293402228549333895743259868536679672396217793244050757495869802102007100425322506942247530668916306372807480052022918204506309536363316812541741361735034623361102323456009<245>

547590636357207702125777558232020958814518934205428182517380509273957300063951909825773898237600244178635953442728578023262227803470788160255105487577667231384933948641411834352952892722748914832161<198>

1812126668393087736972477812496335446618749792740827801896163578890715215149237612122745387822077303975129588934966119606424243990749732335757939941456461165650174900804370817699787884622081882961499223845274391477982883868699614234918001<238>

297107781174798236041658450155146881694054522097710078824177162102422594983052614234832842515627217163984260982497663919026888759485097314698886874881104453691163452702294579243015333702865345398502752572094196413717628725319196470916166939<240>

9335077677902713847524883263108430117<37>
31827028271879213940371278237335879337422929137537693131731978281897282198044914822486476825568670536944587592892426136809408809438927702309412877287957439607458508334906385514289737943955649639402242367<203>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3723376750
Step 1 took 166444ms
Step 2 took 50971ms
********** Factor found in step 2: 9335077677902713847524883263108430117
Found probable prime factor of 37 digits: 9335077677902713847524883263108430117

181481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481483<252>

12166946374280039725004706389904373544317634110312232694645663111394303238665215480223494212707842657280198327708085878795320706790960017798640902806786070438647851<164>

5227514281858340300420759759801782778115503<43>
2327482187184916839298910729950933841725148864390174055011350506569679889435262738902251471681558367874109919385413378117<121>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2191168108
Step 1 took 7110ms
Step 2 took 3750ms
********** Factor found in step 2: 5227514281858340300420759759801782778115503
Found prime factor of 43 digits: 5227514281858340300420759759801782778115503
Prime cofactor 2327482187184916839298910729950933841725148864390174055011350506569679889435262738902251471681558367874109919385413378117 has 121 digits
 

GMP-ECM

67965395952007916479169471348421090279904104399934462382810435857919336700442616433282112033599648753683562764940106120059731849263001780278018708048001892765319089781476849206043670220631446939<194>

193821836383835931251015254025131452554294816943764889940558474193546031501862881773770539283298452459432625248076969521546917997244943944004529290720880867079123725111015741886494862923214431939533997514977344124760441504943134685029491<237>

4517418904212466656675342123335290502824667113237785871359719506039794889179858329809723201590335368316049093672440143286004520450234911831747229930185900156511105177606473558123180977032428271818094931473<205>

18619913843673853063554841183722675491712349<44>
242612234521550554909681473492976542598193597566097414435651037888342783875014256085069113660429928006475289963533334163082139017507419988977697909068467413009477<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:909011120
Step 1 took 8718ms
Step 2 took 3875ms
********** Factor found in step 2: 18619913843673853063554841183722675491712349
Found prime factor of 44 digits: 18619913843673853063554841183722675491712349
Prime cofactor 242612234521550554909681473492976542598193597566097414435651037888342783875014256085069113660429928006475289963533334163082139017507419988977697909068467413009477 has 162 digits
 

GMP-ECM

1352691124099762981086618316933110154058207139647659339988234769465990375095904315095742969946591681754921924590579720249958982928957366060864285963616692889454523392037882215679311116289854786736248235083162806037167662921699217608939869089<241>