3982862838546776814833877167759480005299250773975817544954471859932670616995378168968983<88>

189655237882485713626855383164734829<36>
21000542262980580332387674910609858745830341198993427<53>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3315921847
Step 1 took 9500ms
Step 2 took 7561ms
********** Factor found in step 2: 189655237882485713626855383164734829
Found probable prime factor of 36 digits: 189655237882485713626855383164734829
Probable prime cofactor 21000542262980580332387674910609858745830341198993427 has 53 digits

GMP-ECM 6.2.1

3054900933926856943353408396613424107532512874225364406039975560792528585144453172732827092607139739897<103>

1562267463406113328722074385809274805765951155247<49>
1955427611138011473211547323006830547632965613911300951<55>

Fri Dec 05 17:00:31 2008  Msieve v. 1.39
Fri Dec 05 17:00:31 2008  random seeds: fc5576e8 64ab5ee6
Fri Dec 05 17:00:31 2008  factoring 3054900933926856943353408396613424107532512874225364406039975560792528585144453172732827092607139739897 (103 digits)
Fri Dec 05 17:00:32 2008  searching for 15-digit factors
Fri Dec 05 17:00:34 2008  commencing quadratic sieve (103-digit input)
Fri Dec 05 17:00:34 2008  using multiplier of 2
Fri Dec 05 17:00:34 2008  using 32kb Intel Core sieve core
Fri Dec 05 17:00:34 2008  sieve interval: 36 blocks of size 32768
Fri Dec 05 17:00:34 2008  processing polynomials in batches of 6
Fri Dec 05 17:00:34 2008  using a sieve bound of 3415309 (122500 primes)
Fri Dec 05 17:00:34 2008  using large prime bound of 512296350 (28 bits)
Fri Dec 05 17:00:34 2008  using double large prime bound of 4754865765116250 (44-53 bits)
Fri Dec 05 17:00:34 2008  using trial factoring cutoff of 53 bits
Fri Dec 05 17:00:34 2008  polynomial 'A' values have 13 factors
Sat Dec 06 10:39:04 2008  122696 relations (29594 full + 93102 combined from 1817556 partial), need 122596
Sat Dec 06 10:39:06 2008  begin with 1847150 relations
Sat Dec 06 10:39:09 2008  reduce to 320816 relations in 14 passes
Sat Dec 06 10:39:09 2008  attempting to read 320816 relations
Sat Dec 06 10:39:15 2008  recovered 320816 relations
Sat Dec 06 10:39:15 2008  recovered 311130 polynomials
Sat Dec 06 10:39:15 2008  attempting to build 122696 cycles
Sat Dec 06 10:39:15 2008  found 122696 cycles in 6 passes
Sat Dec 06 10:39:15 2008  distribution of cycle lengths:
Sat Dec 06 10:39:15 2008     length 1 : 29594
Sat Dec 06 10:39:15 2008     length 2 : 21278
Sat Dec 06 10:39:15 2008     length 3 : 20624
Sat Dec 06 10:39:15 2008     length 4 : 16624
Sat Dec 06 10:39:15 2008     length 5 : 12623
Sat Dec 06 10:39:15 2008     length 6 : 8645
Sat Dec 06 10:39:15 2008     length 7 : 5696
Sat Dec 06 10:39:15 2008     length 9+: 7612
Sat Dec 06 10:39:15 2008  largest cycle: 21 relations
Sat Dec 06 10:39:16 2008  matrix is 122500 x 122696 (36.3 MB) with weight 9015392 (73.48/col)
Sat Dec 06 10:39:16 2008  sparse part has weight 9015392 (73.48/col)
Sat Dec 06 10:39:18 2008  filtering completed in 3 passes
Sat Dec 06 10:39:18 2008  matrix is 117311 x 117374 (34.9 MB) with weight 8688006 (74.02/col)
Sat Dec 06 10:39:18 2008  sparse part has weight 8688006 (74.02/col)
Sat Dec 06 10:39:18 2008  saving the first 48 matrix rows for later
Sat Dec 06 10:39:18 2008  matrix is 117263 x 117374 (25.5 MB) with weight 7294140 (62.14/col)
Sat Dec 06 10:39:18 2008  sparse part has weight 5973790 (50.90/col)
Sat Dec 06 10:39:18 2008  matrix includes 64 packed rows
Sat Dec 06 10:39:18 2008  using block size 43690 for processor cache size 1024 kB
Sat Dec 06 10:39:20 2008  commencing Lanczos iteration
Sat Dec 06 10:39:20 2008  memory use: 22.3 MB
Sat Dec 06 10:41:08 2008  lanczos halted after 1856 iterations (dim = 117263)
Sat Dec 06 10:41:08 2008  recovered 18 nontrivial dependencies
Sat Dec 06 10:41:10 2008  prp49 factor: 1562267463406113328722074385809274805765951155247
Sat Dec 06 10:41:10 2008  prp55 factor: 1955427611138011473211547323006830547632965613911300951
Sat Dec 06 10:41:10 2008  elapsed time 17:40:39

89843953191277822611069738374838842253007022229027880672553211229370583524113549174651872568380247<98>

2076816267013609977133570087451<31>
43260424438253424573969100498590711648381570067561111971769414772597<68>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4182817904
Step 1 took 14192ms
Step 2 took 10071ms
********** Factor found in step 2: 2076816267013609977133570087451
Found probable prime factor of 31 digits: 2076816267013609977133570087451
Probable prime cofactor 43260424438253424573969100498590711648381570067561111971769414772597 has 68 digits

GMP-ECM 6.2.1

10352619079522016619207302914972164765186330875029985621691044126707775438085865805802021836927318994068540845667<113>

2407192503767726283938093397877279814867330840593<49>
4300702608253451422223050521702143454051375448060420057356800819<64>

Number: 38881_117
N=10352619079522016619207302914972164765186330875029985621691044126707775438085865805802021836927318994068540845667
  ( 113 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=2407192503767726283938093397877279814867330840593 (pp49)
 r2=4300702608253451422223050521702143454051375448060420057356800819 (pp64)
Version: GGNFS-0.77.1-20060513-k8
Total time: 2.98 hours.
Scaled time: 5.99 units (timescale=2.010).
Factorization parameters were as follows:
name: 38881_117
n: 10352619079522016619207302914972164765186330875029985621691044126707775438085865805802021836927318994068540845667
m: 200000000000000000000000
deg: 5
c5: 875
c0: -568
skew: 0.92
type: snfs
lss: 1
rlim: 690000
alim: 690000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 690000/690000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [345000, 695001)
Primes: RFBsize:55815, AFBsize:56064, largePrimes:1490570 encountered
Relations: rels:1555639, finalFF:231675
Max relations in full relation-set: 28
Initial matrix: 111946 x 231675 with sparse part having weight 13074136.
Pruned matrix : 84612 x 85235 with weight 3834904.
Total sieving time: 2.88 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,119,5,0,0,0,0,0,0,0,0,690000,690000,25,25,45,45,2.2,2.2,50000
total time: 2.98 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

129629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629627<120>

9108048653773274900975019699685290610509871744551301<52>
14232426127404004736307046465996489398097073385511086633106988894527<68>

SNFS difficulty: 120 digits.
Divisors found:
 r1=9108048653773274900975019699685290610509871744551301 (pp52)
 r2=14232426127404004736307046465996489398097073385511086633106988894527 (pp68)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.739).
Factorization parameters were as follows:
n: 129629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629627
m: 500000000000000000000000
deg: 5
c5: 112
c0: -71
skew: 0.91
type: snfs
lss: 1
rlim: 710000
alim: 710000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 710000/710000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [355000, 555001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 73362 x 73605
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,710000,710000,25,25,46,46,2.2,2.2,50000
total time: 1.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

495349757501130461420683429279559051863347488841463697189781747291217335668935947524805181494329<96>

2715369083178513050346546575239<31>
182424466924139797820704781550258524766594314753551564628143605311<66>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1516650998
Step 1 took 10824ms
Step 2 took 9665ms
********** Factor found in step 2: 2715369083178513050346546575239
Found probable prime factor of 31 digits: 2715369083178513050346546575239
Probable prime cofactor 182424466924139797820704781550258524766594314753551564628143605311 has 66 digits

GMP-ECM 6.2.1

766602410206967560361540831523005387065159711107124604251139731533780707843870880275433353448727<96>

1569021033248296412077580593368762358459<40>
488586445919016114840133096706351415288180507783714125653<57>

Fri Dec 05 16:43:00 2008  Msieve v. 1.39
Fri Dec 05 16:43:00 2008  random seeds: dc481b30 e523ea48
Fri Dec 05 16:43:00 2008  factoring 766602410206967560361540831523005387065159711107124604251139731533780707843870880275433353448727 (96 digits)
Fri Dec 05 16:43:01 2008  searching for 15-digit factors
Fri Dec 05 16:43:02 2008  commencing quadratic sieve (96-digit input)
Fri Dec 05 16:43:02 2008  using multiplier of 7
Fri Dec 05 16:43:02 2008  using 32kb Intel Core sieve core
Fri Dec 05 16:43:02 2008  sieve interval: 36 blocks of size 32768
Fri Dec 05 16:43:02 2008  processing polynomials in batches of 6
Fri Dec 05 16:43:02 2008  using a sieve bound of 2293831 (84706 primes)
Fri Dec 05 16:43:02 2008  using large prime bound of 344074650 (28 bits)
Fri Dec 05 16:43:02 2008  using double large prime bound of 2322601948775250 (43-52 bits)
Fri Dec 05 16:43:02 2008  using trial factoring cutoff of 52 bits
Fri Dec 05 16:43:02 2008  polynomial 'A' values have 12 factors
Fri Dec 05 16:43:04 2008  restarting with 20411 full and 1277790 partial relations
Fri Dec 05 16:43:04 2008  84995 relations (20411 full + 64584 combined from 1277790 partial), need 84802
Fri Dec 05 16:43:06 2008  begin with 1298201 relations
Fri Dec 05 16:43:07 2008  reduce to 223514 relations in 11 passes
Fri Dec 05 16:43:07 2008  attempting to read 223514 relations
Fri Dec 05 16:43:11 2008  recovered 223514 relations
Fri Dec 05 16:43:11 2008  recovered 209788 polynomials
Fri Dec 05 16:43:11 2008  attempting to build 84995 cycles
Fri Dec 05 16:43:11 2008  found 84995 cycles in 6 passes
Fri Dec 05 16:43:11 2008  distribution of cycle lengths:
Fri Dec 05 16:43:11 2008     length 1 : 20411
Fri Dec 05 16:43:11 2008     length 2 : 14457
Fri Dec 05 16:43:11 2008     length 3 : 14369
Fri Dec 05 16:43:11 2008     length 4 : 11606
Fri Dec 05 16:43:11 2008     length 5 : 8770
Fri Dec 05 16:43:11 2008     length 6 : 6098
Fri Dec 05 16:43:11 2008     length 7 : 3874
Fri Dec 05 16:43:11 2008     length 9+: 5410
Fri Dec 05 16:43:11 2008  largest cycle: 21 relations
Fri Dec 05 16:43:12 2008  matrix is 84706 x 84995 (23.8 MB) with weight 5903429 (69.46/col)
Fri Dec 05 16:43:12 2008  sparse part has weight 5903429 (69.46/col)
Fri Dec 05 16:43:13 2008  filtering completed in 3 passes
Fri Dec 05 16:43:13 2008  matrix is 80930 x 80994 (22.8 MB) with weight 5650897 (69.77/col)
Fri Dec 05 16:43:13 2008  sparse part has weight 5650897 (69.77/col)
Fri Dec 05 16:43:13 2008  saving the first 48 matrix rows for later
Fri Dec 05 16:43:13 2008  matrix is 80882 x 80994 (16.9 MB) with weight 4765904 (58.84/col)
Fri Dec 05 16:43:13 2008  sparse part has weight 3953034 (48.81/col)
Fri Dec 05 16:43:13 2008  matrix includes 64 packed rows
Fri Dec 05 16:43:13 2008  using block size 32397 for processor cache size 1024 kB
Fri Dec 05 16:43:14 2008  commencing Lanczos iteration
Fri Dec 05 16:43:14 2008  memory use: 14.8 MB
Fri Dec 05 16:44:03 2008  lanczos halted after 1280 iterations (dim = 80882)
Fri Dec 05 16:44:04 2008  recovered 18 nontrivial dependencies
Fri Dec 05 16:44:04 2008  prp40 factor: 1569021033248296412077580593368762358459
Fri Dec 05 16:44:04 2008  prp57 factor: 488586445919016114840133096706351415288180507783714125653
Fri Dec 05 16:44:04 2008  elapsed time 00:01:04

注、画面表示ミスしたので再演算したため分解時間は関係ありません。

2354291233897488778438997287183843911836501873006840225016429589539413189546677859639847253584744730928054877856007512207<121>

193777002671305679513189401385663005139429<42>
12149487304698154777013912556623553448883532470722295647430245883133644361392483<80>

Number: 38881_125
N=2354291233897488778438997287183843911836501873006840225016429589539413189546677859639847253584744730928054877856007512207
  ( 121 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=193777002671305679513189401385663005139429 (pp42)
 r2=12149487304698154777013912556623553448883532470722295647430245883133644361392483 (pp80)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.60 hours.
Scaled time: 7.20 units (timescale=1.997).
Factorization parameters were as follows:
name: 38881_125
n: 2354291233897488778438997287183843911836501873006840225016429589539413189546677859639847253584744730928054877856007512207
m: 10000000000000000000000000
deg: 5
c5: 35
c0: -71
skew: 1.15
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, 800001)
Primes: RFBsize:71274, AFBsize:71106, largePrimes:2741634 encountered
Relations: rels:2774104, finalFF:312654
Max relations in full relation-set: 28
Initial matrix: 142446 x 312654 with sparse part having weight 25875141.
Pruned matrix : 108667 x 109443 with weight 6866036.
Total sieving time: 3.42 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.05 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: 3.60 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<130>

3049419765225815668983930609536436633389526100014187<52>
1275288149318107683447556329379955502544080854576860051786719622599998534897363<79>

Number: 38881_129
N=3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
  ( 130 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=3049419765225815668983930609536436633389526100014187 (pp52)
 r2=1275288149318107683447556329379955502544080854576860051786719622599998534897363 (pp79)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.90 hours.
Scaled time: 7.81 units (timescale=2.003).
Factorization parameters were as follows:
name: 38881_129
n: 3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881
m: 50000000000000000000000000
deg: 5
c5: 112
c0: -71
skew: 0.91
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 875001)
Primes: RFBsize:82134, AFBsize:82218, largePrimes:2996541 encountered
Relations: rels:3114289, finalFF:403967
Max relations in full relation-set: 28
Initial matrix: 164418 x 403967 with sparse part having weight 31259082.
Pruned matrix : 111762 x 112648 with weight 7375178.
Total sieving time: 3.70 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,50000
total time: 3.90 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

62059770047117463525210261016827144517283034923743649863583909877584256653942798017061503606657721825998117614322502682851<122>

664661136625342072710172593992343671372176190170793922127<57>
93370541208729459632002309204427506540981356824207695672872397613<65>

Number: 38881_133
N=62059770047117463525210261016827144517283034923743649863583909877584256653942798017061503606657721825998117614322502682851
  ( 122 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=664661136625342072710172593992343671372176190170793922127 (pp57)
 r2=93370541208729459632002309204427506540981356824207695672872397613 (pp65)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 6.39 hours.
Scaled time: 16.46 units (timescale=2.575).
Factorization parameters were as follows:
name: 38881_133
n: 62059770047117463525210261016827144517283034923743649863583909877584256653942798017061503606657721825998117614322502682851
m: 500000000000000000000000000
deg: 5
c5: 56
c0: -355
skew: 1.45
type: snfs
lss: 1
rlim: 1260000
alim: 1260000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1260000/1260000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [630000, 1305001)
Primes: RFBsize:97182, AFBsize:96764, largePrimes:3257937 encountered
Relations: rels:3274946, finalFF:296830
Max relations in full relation-set: 28
Initial matrix: 194012 x 296830 with sparse part having weight 27557581.
Pruned matrix : 168007 x 169041 with weight 12453978.
Total sieving time: 6.15 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1260000,1260000,26,26,47,47,2.3,2.3,75000
total time: 6.39 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

1104725491377763414833483395718902424741972769207169290516839727448955235136688880837880013087427391950464312400219<115>

11472041308740830128226004319952938850730656734007<50>
96297203056272637468217470840571551206356271026255352522783960317<65>

Number: 38881_134
N=1104725491377763414833483395718902424741972769207169290516839727448955235136688880837880013087427391950464312400219
  ( 115 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=11472041308740830128226004319952938850730656734007 (pp50)
 r2=96297203056272637468217470840571551206356271026255352522783960317 (pp65)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 11.67 hours.
Scaled time: 29.93 units (timescale=2.564).
Factorization parameters were as follows:
name: 38881_134
n: 1104725491377763414833483395718902424741972769207169290516839727448955235136688880837880013087427391950464312400219
m: 500000000000000000000000000
deg: 5
c5: 112
c0: -71
skew: 0.91
type: snfs
lss: 1
rlim: 1270000
alim: 1270000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1270000/1270000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [635000, 1310001)
Primes: RFBsize:97900, AFBsize:97920, largePrimes:4211322 encountered
Relations: rels:5361963, finalFF:1360672
Max relations in full relation-set: 28
Initial matrix: 195886 x 1360672 with sparse part having weight 120458970.
Pruned matrix : 121778 x 122821 with weight 12755672.
Total sieving time: 11.47 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1270000,1270000,26,26,47,47,2.3,2.3,75000
total time: 11.67 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

53874716522030167239784799945168070975218882115352508463526358516928166470031946680421048190451<95>

15649167451664818524155508294784231<35>
3442657041560301536979260219834848760144132407114779732793621<61>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=344597253
Step 1 took 9148ms
Step 2 took 7897ms
********** Factor found in step 2: 15649167451664818524155508294784231
Found probable prime factor of 35 digits: 15649167451664818524155508294784231
Probable prime cofactor 3442657041560301536979260219834848760144132407114779732793621 has 61 digits

GMP-ECM 6.2.1

204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099<141>

1319010200979302625048260303049985266255243144258099089<55>
155175723751897765150475110029731564711269841858076385450258470490538595269383272804091<87>

SNFS difficulty: 142 digits.
Divisors found:
 r1=1319010200979302625048260303049985266255243144258099089 (pp55)
 r2=155175723751897765150475110029731564711269841858076385450258470490538595269383272804091 (pp87)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.735).
Factorization parameters were as follows:
n: 204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099415204678362573099
m: 10000000000000000000000000000
deg: 5
c5: 350
c0: -71
skew: 0.73
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [830000, 1930001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 268312 x 268560
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
total time: 6.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

3235220288036681947813600660353176840578911327329051648372590245064254709858013490019338443856681427<100>

1223607960764791633345625934073632017268917<43>
2644000686310157989135261085141315838217069079769040285031<58>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3800258058
Step 1 took 14387ms
Step 2 took 10768ms
********** Factor found in step 2: 1223607960764791633345625934073632017268917
Found probable prime factor of 43 digits: 1223607960764791633345625934073632017268917
Probable prime cofactor 2644000686310157989135261085141315838217069079769040285031 has 58 digits

GMP-ECM 6.2.1

946275275092443409644573949876196092691119058392272946735399730110850546130079032334130777<90>

6518639221073681222625258143211300772137541<43>
145164541708841951682791434372335409586197147397<48>

Fri Dec 05 08:27:47 2008  Msieve v. 1.39
Fri Dec 05 08:27:47 2008  random seeds: 46401fa0 55a4e33b
Fri Dec 05 08:27:47 2008  factoring 946275275092443409644573949876196092691119058392272946735399730110850546130079032334130777 (90 digits)
Fri Dec 05 08:27:48 2008  searching for 15-digit factors
Fri Dec 05 08:27:50 2008  commencing quadratic sieve (90-digit input)
Fri Dec 05 08:27:50 2008  using multiplier of 1
Fri Dec 05 08:27:50 2008  using 32kb Intel Core sieve core
Fri Dec 05 08:27:50 2008  sieve interval: 36 blocks of size 32768
Fri Dec 05 08:27:50 2008  processing polynomials in batches of 6
Fri Dec 05 08:27:50 2008  using a sieve bound of 1616401 (61176 primes)
Fri Dec 05 08:27:50 2008  using large prime bound of 135777684 (27 bits)
Fri Dec 05 08:27:50 2008  using double large prime bound of 435603187807956 (42-49 bits)
Fri Dec 05 08:27:50 2008  using trial factoring cutoff of 49 bits
Fri Dec 05 08:27:50 2008  polynomial 'A' values have 11 factors
Fri Dec 05 10:03:38 2008  61574 relations (15651 full + 45923 combined from 675984 partial), need 61272
Fri Dec 05 10:03:39 2008  begin with 691635 relations
Fri Dec 05 10:03:39 2008  reduce to 153317 relations in 10 passes
Fri Dec 05 10:03:39 2008  attempting to read 153317 relations
Fri Dec 05 10:03:41 2008  recovered 153317 relations
Fri Dec 05 10:03:41 2008  recovered 135213 polynomials
Fri Dec 05 10:03:41 2008  attempting to build 61574 cycles
Fri Dec 05 10:03:42 2008  found 61574 cycles in 6 passes
Fri Dec 05 10:03:42 2008  distribution of cycle lengths:
Fri Dec 05 10:03:42 2008     length 1 : 15651
Fri Dec 05 10:03:42 2008     length 2 : 11589
Fri Dec 05 10:03:42 2008     length 3 : 10729
Fri Dec 05 10:03:42 2008     length 4 : 8341
Fri Dec 05 10:03:42 2008     length 5 : 5978
Fri Dec 05 10:03:42 2008     length 6 : 3884
Fri Dec 05 10:03:42 2008     length 7 : 2496
Fri Dec 05 10:03:42 2008     length 9+: 2906
Fri Dec 05 10:03:42 2008  largest cycle: 18 relations
Fri Dec 05 10:03:42 2008  matrix is 61176 x 61574 (15.5 MB) with weight 3815112 (61.96/col)
Fri Dec 05 10:03:42 2008  sparse part has weight 3815112 (61.96/col)
Fri Dec 05 10:03:43 2008  filtering completed in 3 passes
Fri Dec 05 10:03:43 2008  matrix is 57748 x 57812 (14.6 MB) with weight 3596094 (62.20/col)
Fri Dec 05 10:03:43 2008  sparse part has weight 3596094 (62.20/col)
Fri Dec 05 10:03:43 2008  saving the first 48 matrix rows for later
Fri Dec 05 10:03:43 2008  matrix is 57700 x 57812 (11.1 MB) with weight 3052248 (52.80/col)
Fri Dec 05 10:03:43 2008  sparse part has weight 2564465 (44.36/col)
Fri Dec 05 10:03:43 2008  matrix includes 64 packed rows
Fri Dec 05 10:03:43 2008  using block size 23124 for processor cache size 1024 kB
Fri Dec 05 10:03:43 2008  commencing Lanczos iteration
Fri Dec 05 10:03:43 2008  memory use: 9.9 MB
Fri Dec 05 10:04:06 2008  lanczos halted after 914 iterations (dim = 57697)
Fri Dec 05 10:04:06 2008  recovered 15 nontrivial dependencies
Fri Dec 05 10:04:07 2008  prp43 factor: 6518639221073681222625258143211300772137541
Fri Dec 05 10:04:07 2008  prp48 factor: 145164541708841951682791434372335409586197147397
Fri Dec 05 10:04:07 2008  elapsed time 01:36:20

10529020358210209126672419361319625913663990406421937265557556732693143120642454411467186326888174670644236643467251548108382943689<131>

28629087949393447456111133198620160036169315533071244148235903<62>
367773516809964708948000502851903761346423796515465049591887880180663<69>

Number: 38881_144
N=10529020358210209126672419361319625913663990406421937265557556732693143120642454411467186326888174670644236643467251548108382943689
  ( 131 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=28629087949393447456111133198620160036169315533071244148235903 (pp62)
 r2=367773516809964708948000502851903761346423796515465049591887880180663 (pp69)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 10.01 hours.
Scaled time: 25.68 units (timescale=2.564).
Factorization parameters were as follows:
name: 38881_144
n: 10529020358210209126672419361319625913663990406421937265557556732693143120642454411467186326888174670644236643467251548108382943689
m: 50000000000000000000000000000
deg: 5
c5: 112
c0: -71
skew: 0.91
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1870000/1870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [935000, 1835001)
Primes: RFBsize:139952, AFBsize:139833, largePrimes:3814117 encountered
Relations: rels:3832358, finalFF:342129
Max relations in full relation-set: 28
Initial matrix: 279851 x 342129 with sparse part having weight 28183205.
Pruned matrix : 255762 x 257225 with weight 17674466.
Total sieving time: 9.48 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1870000,1870000,26,26,49,49,2.3,2.3,100000
total time: 10.01 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

4296505958853853198420117289707372789332643113650127011567313181181692972509393851525932474511053618295318863339773930029645520817<130>

11005429562821160352220822132656618449470600567<47>
390398751300760287606065533166549932446704337286288865468217757117600799730398985751<84>

Number: 38881_148
N=4296505958853853198420117289707372789332643113650127011567313181181692972509393851525932474511053618295318863339773930029645520817
  ( 130 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=11005429562821160352220822132656618449470600567 (pp47)
 r2=390398751300760287606065533166549932446704337286288865468217757117600799730398985751 (pp84)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 31.44 hours.
Scaled time: 80.61 units (timescale=2.564).
Factorization parameters were as follows:
name: 38881_148
n: 4296505958853853198420117289707372789332643113650127011567313181181692972509393851525932474511053618295318863339773930029645520817
m: 500000000000000000000000000000
deg: 5
c5: 56
c0: -355
skew: 1.45
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2000001)
Primes: RFBsize:162662, AFBsize:162346, largePrimes:8114482 encountered
Relations: rels:9417140, finalFF:1578049
Max relations in full relation-set: 28
Initial matrix: 325074 x 1578049 with sparse part having weight 192518771.
Pruned matrix : 222168 x 223857 with weight 36995244.
Total sieving time: 30.70 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.50 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 31.44 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

9166433496932789469618650418665606801499463302417877899339615168342547900124545005831172681724367567313089423350849161<118>

21904388228641440264076699571380925440070866529091293<53>
418474754978414314848577390358111307476223571900094192394791077277<66>

Number: n
N=9166433496932789469618650418665606801499463302417877899339615168342547900124545005831172681724367567313089423350849161
  ( 118 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=21904388228641440264076699571380925440070866529091293 (pp53)
 r2=418474754978414314848577390358111307476223571900094192394791077277 (pp66)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 10.17 hours.
Scaled time: 18.59 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_3_8_148_1
n: 9166433496932789469618650418665606801499463302417877899339615168342547900124545005831172681724367567313089423350849161
type: snfs
skew: 1.83
deg: 5
c5: 7
c0: -142
m: 1000000000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 650001)
Primes: RFBsize:148933, AFBsize:148781, largePrimes:9739262 encountered
Relations: rels:8588387, finalFF:411950
Max relations in full relation-set: 48
Initial matrix: 297779 x 411950 with sparse part having weight 46016329.
Pruned matrix : 243037 x 244589 with weight 20701272.
Total sieving time: 9.51 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.46 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,56,56,2.5,2.5,100000
total time: 10.17 hours.
 --------- CPU info (if available) ----------

214297826565429150492910064568361695812555353202466228632291289065314164253707324199225375072353391618673584558585674182685709543<129>

12358500842512959654534882662579877414220284948569179<53>
17340115058960026817035095906197024842383922831776749394279438959223915036517<77>

Number: 38881_151
N=214297826565429150492910064568361695812555353202466228632291289065314164253707324199225375072353391618673584558585674182685709543
  ( 129 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=12358500842512959654534882662579877414220284948569179 (pp53)
 r2=17340115058960026817035095906197024842383922831776749394279438959223915036517 (pp77)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 32.66 hours.
Scaled time: 83.74 units (timescale=2.564).
Factorization parameters were as follows:
name: 38881_151
n: 214297826565429150492910064568361695812555353202466228632291289065314164253707324199225375072353391618673584558585674182685709543
m: 1000000000000000000000000000000
deg: 5
c5: 350
c0: -71
skew: 0.73
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176209, largePrimes:8615759 encountered
Relations: rels:9485023, finalFF:1053292
Max relations in full relation-set: 28
Initial matrix: 352578 x 1053292 with sparse part having weight 135303276.
Pruned matrix : 253374 x 255200 with weight 47792421.
Total sieving time: 31.55 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.85 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
total time: 32.66 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

218599712697520454687402410842545749797014552495159577790269189931921803759915058397351820623321466491786896508650302916744737992630066829055024670539<150>

196877064555228798257051976037937<33>
36533076470534038295304648507983428931265801937723<50>
30392625276083080315139642232573944572961068830522941570127555167489<68>

SNFS difficulty: 154 digits.
Divisors found:
 r1=196877064555228798257051976037937 (pp33)
 r2=36533076470534038295304648507983428931265801937723 (pp50)
 r3=30392625276083080315139642232573944572961068830522941570127555167489 (pp68)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.737).
Factorization parameters were as follows:
n: 218599712697520454687402410842545749797014552495159577790269189931921803759915058397351820623321466491786896508650302916744737992630066829055024670539
m: 2000000000000000000000000000000
deg: 5
c5: 875
c0: -568
skew: 0.92
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1300000, 2400001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 547354 x 547602
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,52,52,2.4,2.4,100000
total time: 16.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

1350659907347045772976683480838901814704202200116936275749800517179255608103944007969047814479838294365058443633045152676473460941365962498194457131<148>

27062252094015893891367821833925557921914470068002173930604051639604273<71>
49909368320669392065207112067360020697367464724002460386090056808636455973147<77>

SNFS difficulty: 155 digits.
Divisors found:
 r1=27062252094015893891367821833925557921914470068002173930604051639604273 (pp71)
 r2=49909368320669392065207112067360020697367464724002460386090056808636455973147 (pp77)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.568).
Factorization parameters were as follows:
n: 1350659907347045772976683480838901814704202200116936275749800517179255608103944007969047814479838294365058443633045152676473460941365962498194457131
m: 5000000000000000000000000000000
deg: 5
c5: 56
c0: -355
skew: 1.45
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1350000, 2350001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 594251 x 594499
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,52,52,2.4,2.4,100000
total time: 16.00 hours.

38881_153

Opteron-2.6GHz; Linux x86_64

4756280092648250188764199475728532994664874904397340967740470473080958604184638935560577270528905450873<103>

316077293436539492798483427174028217764847<42>
15047838586998004833845001684573837704128871608268602161556759<62>

Number: 38881_157
N=4756280092648250188764199475728532994664874904397340967740470473080958604184638935560577270528905450873
  ( 103 digits)
Divisors found:
 r1=316077293436539492798483427174028217764847 (pp42)
 r2=15047838586998004833845001684573837704128871608268602161556759 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 12.31 hours.
Scaled time: 5.82 units (timescale=0.473).
Factorization parameters were as follows:
name: 38881_157
n: 4756280092648250188764199475728532994664874904397340967740470473080958604184638935560577270528905450873
skew: 3602.91
# norm 2.89e+13
c5: 124320
c4: 635767801
c3: -5358051732169
c2: -6064988245481505
c1: 20352909303228765418
c0: -12588858375220797134080
# alpha -5.28
Y1: 10112432209
Y0: -32850739271467085601
# Murphy_E 2.80e-09
# M 4222018691528632760447361348847040396549466575631545691946562696264792403080906743535614308110637954375
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: RFBsize:169511, AFBsize:168817, largePrimes:4255453 encountered
Relations: rels:4207348, finalFF:391895
Max relations in full relation-set: 28
Initial matrix: 338411 x 391895 with sparse part having weight 26409720.
Pruned matrix : 291880 x 293636 with weight 15689274.
Polynomial selection time: 0.70 hours.
Total sieving time: 9.38 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 1.77 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 12.31 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

4395697519275981635190971269779667210646649147252567630493794524731924375810616348513154465968256408807779438490796149721<121>

5021903696133745830067411705044711834566746760809363<52>
875305020815140943837780270287316610643722751592004225362380010464867<69>

Number: 38881_158
N=4395697519275981635190971269779667210646649147252567630493794524731924375810616348513154465968256408807779438490796149721
  ( 121 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=5021903696133745830067411705044711834566746760809363 (pp52)
 r2=875305020815140943837780270287316610643722751592004225362380010464867 (pp69)
Version: GGNFS-0.77.1-20060513-k8
Total time: 57.95 hours.
Scaled time: 113.58 units (timescale=1.960).
Factorization parameters were as follows:
name:  38881_158
n: 4395697519275981635190971269779667210646649147252567630493794524731924375810616348513154465968256408807779438490796149721
m: 50000000000000000000000000000000
deg: 5
c5: 56
c0: -355
skew: 1.45
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3350001)
Primes: RFBsize:236900, AFBsize:236893, largePrimes:9198456 encountered
Relations: rels:9588051, finalFF:598468
Max relations in full relation-set: 28
Initial matrix: 473859 x 598468 with sparse part having weight 69907364.
Pruned matrix : 429011 x 431444 with weight 48235210.
Total sieving time: 54.00 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 3.41 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 57.95 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

3189783942263087911356815611349433539940196107916770334644790217023785763174035523256714723040173961702542622348719939703969822821172509895165472320421999301893<160>

6729192217450863728598048618087237613653798990636162581422405139<64>
474021820032276344490729878036508269662859504739325818203395008676857889810899763775201694993287<96>

SNFS difficulty: 165 digits.
Divisors found:
 r1=6729192217450863728598048618087237613653798990636162581422405139 (pp64)
 r2=474021820032276344490729878036508269662859504739325818203395008676857889810899763775201694993287 (pp96)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
n: 3189783942263087911356815611349433539940196107916770334644790217023785763174035523256714723040173961702542622348719939703969822821172509895165472320421999301893
m: 500000000000000000000000000000000
deg: 5
c5: 112
c0: -71
skew: 0.91
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2000000, 3600001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 717162 x 717410
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,52,52,2.4,2.4,200000
total time: 33.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

16408744641958847806080518178779367550722945847860932607410470373073906392331209104134112889350209023965674781494124028543714536600642566440179108480086113091881<161>

13731007978254981814404167377815346660212103899723511183019<59>
1195013845155755906706283527067698572345276426831342688089512781690087911568759714098174429125702367099<103>

Number: 38881_165
N=16408744641958847806080518178779367550722945847860932607410470373073906392331209104134112889350209023965674781494124028543714536600642566440179108480086113091881
  ( 161 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=13731007978254981814404167377815346660212103899723511183019 (pp59)
 r2=1195013845155755906706283527067698572345276426831342688089512781690087911568759714098174429125702367099 (pp103)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 84.76 hours.
Scaled time: 218.25 units (timescale=2.575).
Factorization parameters were as follows:
name: 38881_165
n: 16408744641958847806080518178779367550722945847860932607410470373073906392331209104134112889350209023965674781494124028543714536600642566440179108480086113091881
m: 1000000000000000000000000000000000
deg: 5
c5: 35
c0: -71
skew: 1.15
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 5000001)
Primes: RFBsize:296314, AFBsize:295812, largePrimes:9820806 encountered
Relations: rels:10979704, finalFF:994308
Max relations in full relation-set: 28
Initial matrix: 592192 x 994308 with sparse part having weight 129937602.
Pruned matrix : 457177 x 460201 with weight 81941478.
Total sieving time: 81.00 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 3.38 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 84.76 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

4801097393689986282578875171467764060356652949245541838134430727023319615912208504801097393689986282578875171467764060356652949245541838134430727023319615912208504801<166>

146222004002926974466791407216706971<36>

32834301693703234431710291345676026682577433328676387101190552058950862612556701138015292983135095332969771365288049814825795079731<131>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4195115374
Step 1 took 20989ms
Step 2 took 13929ms
********** Factor found in step 2: 146222004002926974466791407216706971
Found probable prime factor of 36 digits: 146222004002926974466791407216706971
Composite cofactor has 131 digits

GMP-ECM 6.2.1

32834301693703234431710291345676026682577433328676387101190552058950862612556701138015292983135095332969771365288049814825795079731<131>

81341906412392977262829851074413415931<38>
41635795095299879483137183719197356361501<41>
9694972354607531461319586026968019249490464567538301<52>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4289341784
Step 1 took 36615ms
Step 2 took 19160ms
********** Factor found in step 2: 41635795095299879483137183719197356361501
Found probable prime factor of 41 digits: 41635795095299879483137183719197356361501

Msieve v. 1.39
Sat Dec  6 12:40:47 2008
random seeds: 55056cf5 fb864dee
factoring 788607533939223004816128108651343184586583380585738621712061138366496488305796633086073231 (90 digits)
searching for 15-digit factors
commencing quadratic sieve (90-digit input)
using multiplier of 1
using 64kb Opteron sieve core
sieve interval: 18 blocks of size 65536
processing polynomials in batches of 6
using a sieve bound of 1608661 (61176 primes)
using large prime bound of 135127524 (27 bits)
using double large prime bound of 431855810609412 (42-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors

sieving in progress (press Ctrl-C to pause)
61329 relations (15844 full + 45485 combined from 667610 partial), need 61272
61329 relations (15844 full + 45485 combined from 667610 partial), need 61272
sieving complete, commencing postprocessing
begin with 683454 relations
reduce to 151862 relations in 10 passes
attempting to read 151862 relations
recovered 151862 relations
recovered 132888 polynomials
attempting to build 61329 cycles
found 61329 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 15844
   length 2 : 11503
   length 3 : 10595
   length 4 : 8174
   length 5 : 5986
   length 6 : 4006
   length 7 : 2285
   length 9+: 2936
largest cycle: 20 relations
matrix is 61176 x 61329 (16.5 MB) with weight 3840633 (62.62/col)
sparse part has weight 3840633 (62.62/col)
filtering completed in 3 passes
matrix is 57546 x 57610 (15.6 MB) with weight 3639842 (63.18/col)
sparse part has weight 3639842 (63.18/col)
saving the first 48 matrix rows for later
matrix is 57498 x 57610 (12.1 MB) with weight 3077780 (53.42/col)
sparse part has weight 2589368 (44.95/col)
matrix includes 64 packed rows
using block size 23044 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 9.9 MB
lanczos halted after 911 iterations (dim = 57497)
recovered 17 nontrivial dependencies
prp38 factor: 81341906412392977262829851074413415931
prp52 factor: 9694972354607531461319586026968019249490464567538301
elapsed time 01:13:27

GMP-ECM 6.2.1+Msieve-1.39

Opteron-2.6GHz; Linux x86_64

357640931263526577089148429200863237601066754587216689725111505899838045736608420887238814683692313899136971497280117946231871216409110676862450103080316074871<159>

14303299735272000932427365334907044020341<41>

25004085622395400531356004667950957578919315561901397443642967755502862141549701795225649125923569649521872339576262331<119>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2451661041
Step 1 took 25935ms
Step 2 took 16777ms
********** Factor found in step 2: 14303299735272000932427365334907044020341
Found probable prime factor of 41 digits: 14303299735272000932427365334907044020341
Composite cofactor has 119 digits

GMP-ECM 6.2.1

25004085622395400531356004667950957578919315561901397443642967755502862141549701795225649125923569649521872339576262331<119>

9393326677884059649378589506343491190606750272193<49>
2661898864995912156338864781434885655844161180750727978984078940447867<70>

Number: 38881_168
N=25004085622395400531356004667950957578919315561901397443642967755502862141549701795225649125923569649521872339576262331
  ( 119 digits)
Divisors found:
 r1=9393326677884059649378589506343491190606750272193 (pp49)
 r2=2661898864995912156338864781434885655844161180750727978984078940447867 (pp70)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 33.72 hours.
Scaled time: 80.17 units (timescale=2.378).
Factorization parameters were as follows:
name: 38881_168
n: 25004085622395400531356004667950957578919315561901397443642967755502862141549701795225649125923569649521872339576262331
skew: 55789.87
# norm 2.91e+16
c5: 50400
c4: -22670790084
c3: -576283113585857
c2: 77180010939996291587
c1: 1122099080230336208850255
c0: 321885631905066599984363475
# alpha -6.81
Y1: 3012571527971
Y0: -54842625079834511542186
# Murphy_E 3.61e-10
# M 11373750039980250020583137353018721562472880609089940211327385554674139944690464666740219551261430950451632264704464388
type: gnfs
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [2000000, 3900001)
Primes: RFBsize:283146, AFBsize:282457, largePrimes:9377636 encountered
Relations: rels:9555591, finalFF:780301
Max relations in full relation-set: 28
Initial matrix: 565684 x 780301 with sparse part having weight 80887021.
Pruned matrix : 416351 x 419243 with weight 55103470.
Polynomial selection time: 2.27 hours.
Total sieving time: 29.64 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.49 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4000000,4000000,27,27,52,52,2.4,2.4,100000
total time: 33.72 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)

Core 2 Quad Q6700

4775462127628609004397620791239844944136870989009288523975169563758497738965996401945642214198142722452627484918282805662237004596874406817488200997499<151>

118340978066617131616605003668155243043376160853287972504030188576447929869<75>
40353411013219617905735168316884121943560908269453282029870176563425168687271<77>

Number: 38881_169
N=4775462127628609004397620791239844944136870989009288523975169563758497738965996401945642214198142722452627484918282805662237004596874406817488200997499
  ( 151 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=118340978066617131616605003668155243043376160853287972504030188576447929869 (pp75)
 r2=40353411013219617905735168316884121943560908269453282029870176563425168687271 (pp77)
Version: Msieve-1.39
Total time: 48.10 hours.
Scaled time: 123.68 units (timescale=2.571).
Factorization parameters were as follows:
n: 4775462127628609004397620791239844944136870989009288523975169563758497738965996401945642214198142722452627484918282805662237004596874406817488200997499
m: 5000000000000000000000000000000000
deg: 5
c5: 112
c0: -71
skew: 0.91
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 4750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 929709 x 929957
Total sieving time: 48.10 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,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 48.10 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

450638209943993072196011791855508678374129516644284752451875033840871832052172035904325426536887007804669422358729049367832879911305399942666722747916007<153>

15084476338602834181665952153903001980126829675178888531839316722288101961<74>
29874302549751781874921530905204471390321336632774688689870842129467667032301487<80>

Number: qw1
N=450638209943993072196011791855508678374129516644284752451875033840871832052172035904325426536887007804669422358729049367832879911305399942666722747916007
  ( 153 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=15084476338602834181665952153903001980126829675178888531839316722288101961 (pp74)
 r2=29874302549751781874921530905204471390321336632774688689870842129467667032301487 (pp80)
Version: Msieve-1.40
Total time: 95.80 hours.
Scaled time: 175.69 units (timescale=1.834).
Factorization parameters were as follows:
n: 450638209943993072196011791855508678374129516644284752451875033840871832052172035904325426536887007804669422358729049367832879911305399942666722747916007
m: 10000000000000000000000000000000000
deg: 5
c5: 3500
c0: -71
skew: 0.46
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 8050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1046613 x 1046843
Total sieving time: 94.17 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.38 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 95.80 hours.
 --------- CPU info (if available) ----------

4465315527274807596332884706051104956833694704597380010527154890469793171020276608509113384677214842989386042140348198170595029613765583995746064262986505136889999<163>

1251570369921303065533447516226851<34>

3567770246554798335164904445667700393306498994538845244740178159103393362348826080981445946352887328882491821739754257930971069349<130>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3008931572
Step 1 took 20686ms
********** Factor found in step 1: 1251570369921303065533447516226851
Found probable prime factor of 34 digits: 1251570369921303065533447516226851
Composite cofactor has 130 digits

GMP-ECM 6.2.1

3567770246554798335164904445667700393306498994538845244740178159103393362348826080981445946352887328882491821739754257930971069349<130>

10221065872878393424446053039748761338738176545894135527<56>
349060488497768082609862063833443201808435769426869232192271571424252445587<75>

N = 3567770246554798335164904445667700393306498994538845244740178159103393362348826080981445946352887328882491821739754257930971069349 (130 digits)
SNFS difficulty: 176 digits.
Divisors found:
r1=10221065872878393424446053039748761338738176545894135527 (pp56)
r2=349060488497768082609862063833443201808435769426869232192271571424252445587 (pp75)
Version: Msieve v. 1.48
Total time: 36.29 hours.
Factorization parameters were as follows:
name: (35*10^173-71)/9
n: 3567770246554798335164904445667700393306498994538845244740178159103393362348826080981445946352887328882491821739754257930971069349
Y0: 50000000000000000000000000000000000
Y1: -1
c0: -355
c1: 0
c2: 0
c3: 0
c4: 0
c5: 56
skew: 1.45
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 20898302
Relations: 2374292 relations
Pruned matrix : 1369235 x 1369460
Polynomial selection time: 0.00 hours.
Total sieving time: 33.65 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.44 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,55,55,2.5,2.5,100000
total time: 36.29 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

1822451071851496902101330855107999252305999531640177971051981271035987169411279770509874437717368745531461299316213319462887207284925230653162716945586081<154>

1584590489564341120494356285462217198329948557494039491750882303583803<70>
1150108550981239263105559255466170329156246620306260680231903694964712528311419727827<85>

Number: 38881_174
N=1822451071851496902101330855107999252305999531640177971051981271035987169411279770509874437717368745531461299316213319462887207284925230653162716945586081
  ( 154 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=1584590489564341120494356285462217198329948557494039491750882303583803
 r2=1150108550981239263105559255466170329156246620306260680231903694964712528311419727827
Version: 
Total time: 99.88 hours.
Scaled time: 201.05 units (timescale=2.013).
Factorization parameters were as follows:
n: 1822451071851496902101330855107999252305999531640177971051981271035987169411279770509874437717368745531461299316213319462887207284925230653162716945586081
m: 50000000000000000000000000000000000
deg: 5
c5: 112
c0: -71
skew: 0.91
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2950000, 5450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1071661 x 1071909
Total sieving time: 99.88 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,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 99.88 hours.
 --------- CPU info (if available) ----------

1024293473548601319173469912038505104746286056967893105461707929204618101281103354521416633306699402398601839123952472090381<124>

1320105305128237839759047437665736026132731396793537417927679<61>
775918004093695593851387986591834584873455900442876905422417139<63>

Number: 38881_176
N=1024293473548601319173469912038505104746286056967893105461707929204618101281103354521416633306699402398601839123952472090381
  ( 124 digits)
Divisors found:
 r1=1320105305128237839759047437665736026132731396793537417927679 (pp61)
 r2=775918004093695593851387986591834584873455900442876905422417139 (pp63)
Version: Msieve-1.39
Total time: 61.25 hours.
Scaled time: 156.80 units (timescale=2.560).
Factorization parameters were as follows:
# Murphy_E = 1.931282e-10, selected by Jeff Gilchrist
n: 1024293473548601319173469912038505104746286056967893105461707929204618101281103354521416633306699402398601839123952472090381
Y0: -520935780629937847389521
Y1: 22406701384781
c0: -94888778317472415354353368632
c1: 14232405039257419376998134
c2: -339826485793637340641
c3: -3544791087233806
c4: -11143299794
c5: 26700
skew: 129910.61
type: gnfs
# selected mechanically
rlim: 6300000
alim: 6300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3150000, 5970001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 917653 x 917901
Total sieving time: 61.25 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6300000,6300000,27,27,52,52,2.5,2.5,60000
total time: 61.25 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

33461713292518450070286522953036358954012072345840770803033647279961979704972480140637348351108571390048162562147988328683928094683537040142195906147167720500407<161>

16344822089886294631376367252687044228611<41>
2047236311811775237853370064349460550471296836642857788077745439397058049721082870618229704024096730530929819770762123837<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3439074722
Step 1 took 39858ms
Step 2 took 17981ms
********** Factor found in step 2: 16344822089886294631376367252687044228611
Found probable prime factor of 41 digits: 16344822089886294631376367252687044228611
Probable prime cofactor 2047236311811775237853370064349460550471296836642857788077745439397058049721082870618229704024096730530929819770762123837 has 121 digits

GMP-ECM 6.2.1

48241128185373048607658534762192941159740389848374666344381904643854197316091606546004177293<92>

852617991092640531706382587775687981367372409<45>
56580002638170283553528616716073383101107780277<47>

Fri Dec 05 00:21:57 2008  Msieve v. 1.39
Fri Dec 05 00:21:57 2008  random seeds: 87820f18 cf45edda
Fri Dec 05 00:21:57 2008  factoring 48241128185373048607658534762192941159740389848374666344381904643854197316091606546004177293 (92 digits)
Fri Dec 05 00:21:58 2008  searching for 15-digit factors
Fri Dec 05 00:21:59 2008  commencing quadratic sieve (92-digit input)
Fri Dec 05 00:21:59 2008  using multiplier of 1
Fri Dec 05 00:21:59 2008  using 32kb Intel Core sieve core
Fri Dec 05 00:21:59 2008  sieve interval: 36 blocks of size 32768
Fri Dec 05 00:21:59 2008  processing polynomials in batches of 6
Fri Dec 05 00:21:59 2008  using a sieve bound of 1818667 (68235 primes)
Fri Dec 05 00:21:59 2008  using large prime bound of 198234703 (27 bits)
Fri Dec 05 00:21:59 2008  using double large prime bound of 860841928930917 (42-50 bits)
Fri Dec 05 00:21:59 2008  using trial factoring cutoff of 50 bits
Fri Dec 05 00:21:59 2008  polynomial 'A' values have 12 factors
Fri Dec 05 02:26:40 2008  68377 relations (17338 full + 51039 combined from 866466 partial), need 68331
Fri Dec 05 02:26:43 2008  begin with 883804 relations
Fri Dec 05 02:26:43 2008  reduce to 173971 relations in 11 passes
Fri Dec 05 02:26:43 2008  attempting to read 173971 relations
Fri Dec 05 02:26:47 2008  recovered 173971 relations
Fri Dec 05 02:26:47 2008  recovered 156247 polynomials
Fri Dec 05 02:26:48 2008  attempting to build 68377 cycles
Fri Dec 05 02:26:48 2008  found 68377 cycles in 5 passes
Fri Dec 05 02:26:48 2008  distribution of cycle lengths:
Fri Dec 05 02:26:48 2008     length 1 : 17338
Fri Dec 05 02:26:48 2008     length 2 : 12123
Fri Dec 05 02:26:48 2008     length 3 : 11729
Fri Dec 05 02:26:48 2008     length 4 : 9447
Fri Dec 05 02:26:48 2008     length 5 : 6839
Fri Dec 05 02:26:48 2008     length 6 : 4403
Fri Dec 05 02:26:48 2008     length 7 : 2764
Fri Dec 05 02:26:48 2008     length 9+: 3734
Fri Dec 05 02:26:48 2008  largest cycle: 21 relations
Fri Dec 05 02:26:48 2008  matrix is 68235 x 68377 (17.0 MB) with weight 4182839 (61.17/col)
Fri Dec 05 02:26:48 2008  sparse part has weight 4182839 (61.17/col)
Fri Dec 05 02:26:49 2008  filtering completed in 3 passes
Fri Dec 05 02:26:49 2008  matrix is 64604 x 64668 (16.2 MB) with weight 3981649 (61.57/col)
Fri Dec 05 02:26:49 2008  sparse part has weight 3981649 (61.57/col)
Fri Dec 05 02:26:49 2008  saving the first 48 matrix rows for later
Fri Dec 05 02:26:49 2008  matrix is 64556 x 64668 (10.0 MB) with weight 3102626 (47.98/col)
Fri Dec 05 02:26:49 2008  sparse part has weight 2234604 (34.56/col)
Fri Dec 05 02:26:49 2008  matrix includes 64 packed rows
Fri Dec 05 02:26:49 2008  using block size 25867 for processor cache size 2048 kB
Fri Dec 05 02:26:49 2008  commencing Lanczos iteration
Fri Dec 05 02:26:49 2008  memory use: 9.9 MB
Fri Dec 05 02:27:11 2008  lanczos halted after 1022 iterations (dim = 64554)
Fri Dec 05 02:27:12 2008  recovered 15 nontrivial dependencies
Fri Dec 05 02:27:12 2008  prp45 factor: 852617991092640531706382587775687981367372409
Fri Dec 05 02:27:12 2008  prp47 factor: 56580002638170283553528616716073383101107780277
Fri Dec 05 02:27:12 2008  elapsed time 02:05:15

Msieve

558564465747388346813464647938776070808877793668780974309758190631082346177064621658728304393021505088240459011453064227215244860789945303607644566677740249487293<162>

160020693433359773518143219603912809<36>
3490576460850053450847907349976182625659172933180934406601688040579959555205761204584348481290922830235197726475366791229889077<127>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1303534847
Step 1 took 51179ms
Step 2 took 23917ms
********** Factor found in step 2: 160020693433359773518143219603912809
Found probable prime factor of 36 digits: 160020693433359773518143219603912809
Probable prime cofactor 3490576460850053450847907349976182625659172933180934406601688040579959555205761204584348481290922830235197726475366791229889077 has 127 digits

GMP-ECM 6.2.1

4150402394827262300313705339181902371436050947330686013466893587394159191177960839915353590956228290919092995947395872885686141184795533439388847955717215147085867197411549<172>

411603045051601034303819682846235638853<39>
10083507507353214268674685890219896530952095601161383541110602297662824911141246986085898354337709282864991070392826419704370984699833<134>

N=4150402394827262300313705339181902371436050947330686013466893587394159191177960839915353590956228290919092995947395872885686141184795533439388847955717215147085867197411549
  ( 172 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=411603045051601034303819682846235638853 (pp39)
 r2=10083507507353214268674685890219896530952095601161383541110602297662824911141246986085898354337709282864991070392826419704370984699833 (pp134)
Version: Msieve v. 1.47
Total time:
Scaled time: 15.80 units (timescale=1.331).
Factorization parameters were as follows:
n: 4150402394827262300313705339181902371436050947330686013466893587394159191177960839915353590956228290919092995947395872885686141184795533439388847955717215147085867197411549
m: 1000000000000000000000000000000000000
deg: 5
c5: 350
c0: -71
skew: 0.73
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 11450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1656280 x 1656506
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time:

125156038616232812848272898622970965274398955852703976471201792676385573947453786719843153319166894929079984396763174400202053564741912127544678457841<150>

256244628141335298201178374006278959815568250685498816997797914075929219<72>
488424048238783973031495648707600012496739461149783821355055406967813113935739<78>

Number: 38881_183
N=125156038616232812848272898622970965274398955852703976471201792676385573947453786719843153319166894929079984396763174400202053564741912127544678457841
  ( 150 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=256244628141335298201178374006278959815568250685498816997797914075929219
 r2=488424048238783973031495648707600012496739461149783821355055406967813113935739
Version: 
Total time: 84.92 hours.
Scaled time: 441.59 units (timescale=5.200).
Factorization parameters were as follows:
n: 125156038616232812848272898622970965274398955852703976471201792676385573947453786719843153319166894929079984396763174400202053564741912127544678457841
m: 5000000000000000000000000000000000000
deg: 5
c5: 56
c0: -355
skew: 1.45
# Murphy_E = 5.229e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3700000, 7600001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20601811
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1706434 x 1706682
Total sieving time: 78.84 hours.
Total relation processing time: 2.09 hours.
Matrix solve time: 3.74 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,54,54,2.5,2.5,100000
total time: 84.92 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

4258443562004648348530249995133931682909829183315047022688356502966971220951758752486718212578232937162430744843288323399436897943641884427983389062320597247213<160>

10839903569505782023062991647941723207645063729749555269656678957<65>
392848841753930963091023575551637648914316541724589282464296385898684495153307335545719660303809<96>

Number: 38881_184
N=4258443562004648348530249995133931682909829183315047022688356502966971220951758752486718212578232937162430744843288323399436897943641884427983389062320597247213
  ( 160 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=10839903569505782023062991647941723207645063729749555269656678957
 r2=392848841753930963091023575551637648914316541724589282464296385898684495153307335545719660303809
Version: 
Total time: 64.36 hours.
Scaled time: 337.68 units (timescale=5.247).
Factorization parameters were as follows:
n: 4258443562004648348530249995133931682909829183315047022688356502966971220951758752486718212578232937162430744843288323399436897943641884427983389062320597247213
m: 10000000000000000000000000000000000000
deg: 5
c5: 7
c0: -142
skew: 1.82
# Murphy_E = 7.105e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 7000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19940786
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1636489 x 1636737
Total sieving time: 59.19 hours.
Total relation processing time: 1.49 hours.
Matrix solve time: 3.42 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 64.36 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

34606116408557117856676854971824200233196903999930939083908147142061620697693649012623519777920097834052876397493255450320932012419933381294087866642993461<155>

7993544616768808394244966369748435004248208789<46>
4329257928448991347999714026267701211252054771612238485820766178597299090472061082490276745771853842341545249<109>

Number: 38881_185
N=34606116408557117856676854971824200233196903999930939083908147142061620697693649012623519777920097834052876397493255450320932012419933381294087866642993461
  ( 155 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=7993544616768808394244966369748435004248208789
 r2=4329257928448991347999714026267701211252054771612238485820766178597299090472061082490276745771853842341545249
Version: 
Total time: 89.77 hours.
Scaled time: 472.00 units (timescale=5.258).
Factorization parameters were as follows:
n: 34606116408557117856676854971824200233196903999930939083908147142061620697693649012623519777920097834052876397493255450320932012419933381294087866642993461
m: 10000000000000000000000000000000000000
deg: 5
c5: 35
c0: -71
skew: 1.15
# Murphy_E = 5.08e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 8300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20685524
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1797870 x 1798118
Total sieving time: 83.05 hours.
Total relation processing time: 2.17 hours.
Matrix solve time: 4.29 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 89.77 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).

GGNFS / Msieve v1.39

Core i7-4930K

7123465891110846449561688831149559728835198863382168459908981720318531512733288167366095883606868842519043508885828866122025059969205467507650166554351787<154>

6025457439091607495203248492511144489<37>
1182228231319940036594440290598331831605650859024539821631425049326845487173834280129481374649540759675523507679112883<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=296984133
Step 1 took 21277ms
Step 2 took 8746ms
********** Factor found in step 2: 6025457439091607495203248492511144489
Found probable prime factor of 37 digits: 6025457439091607495203248492511144489

16043174408883287594462277871495995222849901167220636691739481909788183512485958006336113238345712902417022454839660816242478343200158799910553802414121761359848717<164>

17905448426118827495647659859<29>
895994002891375498633567347569959074995539442743484179100848856679581645115282341184169133920282804468223980864525066718672772643026463<135>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=85049247
Step 1 took 20781ms
********** Factor found in step 1: 17905448426118827495647659859
Found probable prime factor of 29 digits: 17905448426118827495647659859
Probable prime cofactor has 135 digits

GMP-ECM 6.2.1

5831006123962481870641528413037781319158607477190182729618176370039450930835171791337396581701450881700137703733753552636863<124>

370232929745617333689317907655582924266058884301<48>
15749561034370706030356545596866677762076660060448648952544174329800060555963<77>

Number: 38881_190
N=5831006123962481870641528413037781319158607477190182729618176370039450930835171791337396581701450881700137703733753552636863
  ( 124 digits)
Divisors found:
 r1=370232929745617333689317907655582924266058884301 (pp48)
 r2=15749561034370706030356545596866677762076660060448648952544174329800060555963 (pp77)
Version: Msieve v. 1.42
Total time: 3.82 hours.
Scaled time: 2.61 units (timescale=0.682).
Factorization parameters were as follows:
name: 38881_190
# Murphy_E = 1.683801e-10, selected by Jeff Gilchrist
n: 5831006123962481870641528413037781319158607477190182729618176370039450930835171791337396581701450881700137703733753552636863
Y0: -744456077995163232389408
Y1: 31109699001403
c0: 172644156147277432743198853213
c1: 5961996169855988405334214
c2: -85601196991748434921
c3: -2541010654313936
c4: 11124341566
c5: 25500
skew: 105625.64
type: gnfs
# selected mechanically
rlim: 6600000
alim: 6600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3300000, 6600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 949257 x 949482
Total sieving time: 0.00 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.96 hours.
Time per square root: 0.74 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6600000,6600000,27,27,52,52,2.5,2.5,100000
total time: 3.82 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.24 BogoMIPS (lpj=1860624)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860570)
Total of 2 processors activated (7442.38 BogoMIPS).

Total time: 3 days 2 hours.

331510178022620999204626408740989290722055080338722894919167855759920094778765496760412007860880610037224049314339146445534357227787550398656118939918950348988801589383<168>

1336274913064414490088424457113547<34>

248085311474107357104588422474489869701555555453866907191475948275891744402980997431744271055640501443588456969084801898897862860907189<135>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1031670139
Step 1 took 21226ms
Step 2 took 13893ms
********** Factor found in step 2: 1336274913064414490088424457113547
Found probable prime factor of 34 digits: 1336274913064414490088424457113547
Composite cofactor 248085311474107357104588422474489869701555555453866907191475948275891744402980997431744271055640501443588456969084801898897862860907189 has 135 digits

GMP-ECM 6.2.1

9869588252029455938411829228274081725542863518852857870261910645186460956361466089886801265122172545200690928703242159458803440503498116232578629324724209936147063271727955639460591133123<187>

2695648747855838052012777127<28>

3661303521046606546298585518347392024070683888179286291517871209385493946781642011240660743528557012706441362886380290894705288545269001778754040289321222095749<160>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=316825665
Step 1 took 25690ms
Step 2 took 15681ms
********** Factor found in step 2: 2695648747855838052012777127
Found probable prime factor of 28 digits: 2695648747855838052012777127
Composite cofactor has 160 digits

GMP-ECM 6.2.1

3661303521046606546298585518347392024070683888179286291517871209385493946781642011240660743528557012706441362886380290894705288545269001778754040289321222095749<160>

383695676427937961080058441641698235909922874875677857003323<60>
9542206873770279320357036266044828871796183735933656957274998214871117092162793833407643517628236863<100>

3661303521046606546298585518347392024070683888179286291517871209385493946781642011240660743528557012706441362886380290894705288545269001778754040289321222095749=383695676427937961080058441641698235909922874875677857003323*9542206873770279320357036266044828871796183735933656957274998214871117092162793833407643517628236863

cado polynomial
n: 3661303521046606546298585518347392024070683888179286291517871209385493946781642011240660743528557012706441362886380290894705288545269001778754040289321222095749
skew: 0.91
type: snfs
c0: -71
c5: 112
Y0: 500000000000000000000000000000000000000
Y1: -1
# f(x) = 112*x^5-71
# g(x) = -x+500000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12700000
tasks.lim1 = 12700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 383695676427937961080058441641698235909922874875677857003323 9542206873770279320357036266044828871796183735933656957274998214871117092162793833407643517628236863
Info:Square Root: Total cpu/real time for sqrt: 637.04/202.525
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.38/2.22305
Info:Generate Free Relations: Total cpu/real time for freerel: 102.64/26.2998
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28102456
Info:Lattice Sieving: Average J: 1894.04 for 2749455 special-q, max bucket fill -bkmult 1.0,1s:1.153500
Info:Lattice Sieving: Total time: 825033s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.5/142.03
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 141.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 473.15/480.08
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 418.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 406.73/477.601
Info:Filtering - Merging: Merged matrix has 2388338 rows and total weight 410131765 (171.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 689.72/198.323
Info:Filtering - Merging: Total cpu/real time for replay: 91.62/79.8791
Info:Linear Algebra: Total cpu/real time for bwc: 98714.3/25257.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 16088.52, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (74752 iterations)
Info:Linear Algebra: Lingen CPU time 481.28, WCT time 139.68
Info:Linear Algebra: Mksol: WCT time 8798.41, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 82.85/34.8228
Info:Square Root: Total cpu/real time for sqrt: 637.04/202.525
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.62844e+06/25696.2
383695676427937961080058441641698235909922874875677857003323 9542206873770279320357036266044828871796183735933656957274998214871117092162793833407643517628236863

cado-nfs-3.0.0

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

890037851805741225795896751581575684078887334901504925854787194209123135273769047892685212487959774382190823086877692448512019647891383818259062476349153592952577336455497564601298357<183>

25597472652842578955678898398262487690307206225940725741118633621<65>
34770536289913888473693440670600243743316372317427514705804453003327640839712795337545979794730779845312467051489030817<119>

p65 factor: 25597472652842578955678898398262487690307206225940725741118633621
p119 factor: 34770536289913888473693440670600243743316372317427514705804453003327640839712795337545979794730779845312467051489030817


Msieve v. 1.54 (SVN 1032M)
random seeds: 6ab0cf64 f8a7f8ed
factoring 890037851805741225795896751581575684078887334901504925854787194209123135273769047892685212487959774382190823086877692448512019647891383818259062476349153592952577336455497564601298357 (183 digits)
searching for 15-digit factors
commencing number field sieve (183-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 35
skew 1.00, size 7.837e-14, alpha 1.260, combined = 1.737e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2229707 hash collisions in 36134323 relations
added 728290 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 36862613 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: 1224.3 MB
keeping 39950681 ideals with weight <= 200, target excess is 193669
commencing in-memory singleton removal
begin with 36862613 relations and 39950681 unique ideals
reduce to 13713622 relations and 12783188 ideals in 14 passes
max relations containing the same ideal: 105
removing 2014326 relations and 1661437 ideals in 352889 cliques
commencing in-memory singleton removal
begin with 11699296 relations and 12783188 unique ideals
reduce to 11436833 relations and 10850292 ideals in 9 passes
max relations containing the same ideal: 93
removing 1620367 relations and 1267478 ideals in 352889 cliques
commencing in-memory singleton removal
begin with 9816466 relations and 10850292 unique ideals
reduce to 9608679 relations and 9368393 ideals in 9 passes
max relations containing the same ideal: 83
removing 129084 relations and 113455 ideals in 15629 cliques
commencing in-memory singleton removal
begin with 9479595 relations and 9368393 unique ideals
reduce to 9478150 relations and 9253489 ideals in 7 passes
max relations containing the same ideal: 81
relations with 0 large ideals: 3955
relations with 1 large ideals: 6805
relations with 2 large ideals: 65939
relations with 3 large ideals: 342458
relations with 4 large ideals: 1073441
relations with 5 large ideals: 2097147
relations with 6 large ideals: 2690451
relations with 7+ large ideals: 3197954
commencing 2-way merge
reduce to 5858765 relation sets and 5634104 unique ideals
commencing full merge
memory use: 672.0 MB
found 2744705 cycles, need 2724304
weight of 2724304 cycles is about 245540602 (90.13/cycle)
distribution of cycle lengths:
1 relations: 241943
2 relations: 245192
3 relations: 250189
4 relations: 238933
5 relations: 227392
6 relations: 207479
7 relations: 190726
8 relations: 170071
9 relations: 150739
10+ relations: 801640
heaviest cycle: 28 relations
commencing cycle optimization
start with 20051621 relations
pruned 666829 relations
memory use: 592.7 MB
distribution of cycle lengths:
1 relations: 241943
2 relations: 251181
3 relations: 259982
4 relations: 246526
5 relations: 235194
6 relations: 213658
7 relations: 196009
8 relations: 173249
9 relations: 152776
10+ relations: 753786
heaviest cycle: 28 relations
RelProcTime: 703
elapsed time 00:11:45


Msieve v. 1.54 (SVN 1032M)
random seeds: 57cb46bb 0dca8c92
factoring 890037851805741225795896751581575684078887334901504925854787194209123135273769047892685212487959774382190823086877692448512019647891383818259062476349153592952577336455497564601298357 (183 digits)
searching for 15-digit factors
commencing number field sieve (183-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 35
skew 1.00, size 7.837e-14, alpha 1.260, combined = 1.737e-11 rroots = 1

commencing linear algebra
read 2724304 cycles
cycles contain 9314841 unique relations
read 9314841 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1172.6 MB
read 2724304 cycles
matrix is 2724126 x 2724304 (1002.5 MB) with weight 292920498 (107.52/col)
sparse part has weight 232843193 (85.47/col)
filtering completed in 2 passes
matrix is 2723416 x 2723594 (1002.5 MB) with weight 292894238 (107.54/col)
sparse part has weight 232833390 (85.49/col)
matrix starts at (0, 0)
matrix is 2723416 x 2723594 (1002.5 MB) with weight 292894238 (107.54/col)
sparse part has weight 232833390 (85.49/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2723368 x 2723594 (953.5 MB) with weight 240571569 (88.33/col)
sparse part has weight 222712544 (81.77/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 909.0 MB
linear algebra at 0.1%, ETA 2h59m
checkpointing every 1040000 dimensions
lanczos halted after 43068 iterations (dim = 2723366)
recovered 35 nontrivial dependencies
BLanczosTime: 8125
elapsed time 02:15:27


Msieve v. 1.54 (SVN 1032M)
random seeds: 52d4ad69 3e878098
factoring 890037851805741225795896751581575684078887334901504925854787194209123135273769047892685212487959774382190823086877692448512019647891383818259062476349153592952577336455497564601298357 (183 digits)
searching for 15-digit factors
commencing number field sieve (183-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: -71
A1: 0
A2: 0
A3: 0
A4: 0
A5: 35
skew 1.00, size 7.837e-14, alpha 1.260, combined = 1.737e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1361637 cycles
cycles contain 4657622 unique relations
read 4657622 relations
multiplying 4657622 relations
multiply complete, coefficients have about 129.07 million bits
initial square root is modulo 1837582871
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 2
read 1362485 cycles
cycles contain 4659436 unique relations
read 4659436 relations
multiplying 4659436 relations
multiply complete, coefficients have about 129.12 million bits
initial square root is modulo 1853990861
Newton iteration failed to converge
algebraic square root failed
reading relations for dependency 3
read 1361212 cycles
cycles contain 4656930 unique relations
read 4656930 relations
multiplying 4656930 relations
multiply complete, coefficients have about 129.05 million bits
initial square root is modulo 1831931201
sqrtTime: 973
p65 factor: 25597472652842578955678898398262487690307206225940725741118633621
p119 factor: 34770536289913888473693440670600243743316372317427514705804453003327640839712795337545979794730779845312467051489030817
elapsed time 00:16:15

CADO-NFS/Msieve

41682817780752339383280108951440474270191756490259257405132933766904773268321272967009018062855358453673223751354235963475228873313893619445184268373495636295423249721507010262671353<182>

760313831104560253254183673<27>

54823174425482750926246594909658135020132072477274295276824574265817217975244637290064755167295711456097792543538115601269727309476437989059777953016700161<155>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3978802356
Step 1 took 25553ms
Step 2 took 15409ms
********** Factor found in step 2: 760313831104560253254183673
Found probable prime factor of 27 digits: 760313831104560253254183673
Composite cofactor has 155 digits

GMP-ECM 6.2.1

54823174425482750926246594909658135020132072477274295276824574265817217975244637290064755167295711456097792543538115601269727309476437989059777953016700161<155>

23550045317279624296547550561726117801440824681<47>
2327943478956142909257444036289645387078002162984875245505787780214471717683593323849359603776292810943621081<109>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4059831765
Step 1 took 67035ms
Step 2 took 22096ms
********** Factor found in step 2: 23550045317279624296547550561726117801440824681
Found probable prime factor of 47 digits: 23550045317279624296547550561726117801440824681

9399208594091967093676579230884777090288569602008058103329256883026091849272039496728790006220074907508269094811144747640701190497788366307161875039435748284925817797<166>

1156573126283837609323729745176982848373<40>
8126774157629253911318378813067858364260891789078071007980471434191037906299128834454082938454537465176791114139657356078806289<127>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1935600245
Step 1 took 72622ms
Step 2 took 23393ms
********** Factor found in step 2: 1156573126283837609323729745176982848373
Found probable prime factor of 40 digits: 1156573126283837609323729745176982848373

15191245405191957280514232692896161942961338988797909293358759074594057406015114734698965202927197202589895566832013336459640965861479787204730910572207633822110913<164>

1861468120897201492992872990658651081937<40>
8160894744665296943921251395162584241097643099470088044534647763466723548653244079777378652912656058510639793059446322808049<124>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=449619090
Step 1 took 40186ms
Step 2 took 18013ms
********** Factor found in step 2: 1861468120897201492992872990658651081937
Found probable prime factor of 40 digits: 1861468120897201492992872990658651081937
Probable prime cofactor has 124 digits

GMP-ECM 6.2.1

10932603660824959674905950304146131144085461861555618371119822306118212354477803527209119713520673105163664420282525267631801371002863319323026509696938473642181<161>

395164945190857945350101909540564167<36>
27665924809055869339926234061280855054857483038403980884226624743443037940825917222475596589660592881576057076851168755649043<125>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3549987951
Step 1 took 50820ms
Step 2 took 23819ms
********** Factor found in step 2: 395164945190857945350101909540564167
Found probable prime factor of 36 digits: 395164945190857945350101909540564167
Probable prime cofactor has 125 digits

GMP-ECM 6.2.1

358534095451927261337159894323470535988795877567306786048595623595618435415600763897138697728789437094956694867614038106794856494036535667220529665006599593080941523953108298293095739947<186>

2417025011202852553830152157173<31>

148336940573693026676931953360768681251898110248037176988146673580884095938488249642040714732420381075108148432925737985713043549619431873238226401551617439<156>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2143623369
Step 1 took 24053ms
Step 2 took 14537ms
********** Factor found in step 2: 2417025011202852553830152157173
Found probable prime factor of 31 digits: 2417025011202852553830152157173
Composite cofactor has 156 digits

GMP-ECM 6.2.1

148336940573693026676931953360768681251898110248037176988146673580884095938488249642040714732420381075108148432925737985713043549619431873238226401551617439<156>

36969474827330092993703500107282571845978847513524648701<56>
4012416764547418005850494204978821018824296098460112008389600165964004753978897950196257584627848139<100>

#
# N = 35x10^201-71 = 38(200)1
#
n: 148336940573693026676931953360768681251898110248037176988146673580884095938488249642040714732420381075108148432925737985713043549619431873238226401551617439
m: 10000000000000000000000000000000000000000
deg: 5
c5: 350
c0: -71
skew: 0.73
# Murphy_E = 1.037e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 148336940573693026676931953360768681251898110248037176988146673580884095938488249642040714732420381075108148432925737985713043549619431873238226401551617439 (156 digits)
Using B1=44340000, B2=240492041806, polynomial Dickson(12), sigma=1:3218415671
Step 1 took 108381ms
Step 2 took 36336ms
********** Factor found in step 2: 36969474827330092993703500107282571845978847513524648701
Found prime factor of 56 digits: 36969474827330092993703500107282571845978847513524648701
Prime cofactor 4012416764547418005850494204978821018824296098460112008389600165964004753978897950196257584627848139 has 100 digits

3654146691006843819492725016420944039154062941157297109273660464507385539607774910845179696698602466217060776339443893121984589187516332513632893515829<151>

186120774050264670820592953976190364911257381<45>
19633201665172461622357715906830147784968885495922533390332268449935423104859135063740671936309765239187409<107>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=949235376
Step 1 took 10219ms
Step 2 took 5184ms
********** Factor found in step 2: 186120774050264670820592953976190364911257381
Found probable prime factor of 45 digits: 186120774050264670820592953976190364911257381
Probable prime cofactor

951526520403447244651061631732050131854389255906261044504254682869803985536796889867601881303863197672837995813283310224832123535328820378979419840687274012451404181279395372862463638093684582551722263<201>

3902505814693479946914232122945187201<37>

243824497793396457157695281071537524590427598565699673829660810250881151190575939082501252646909037808114080747612376446679162713152731850998085293276833764395008663<165>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3483678870
Step 1 took 18399ms
Step 2 took 18677ms
********** Factor found in step 2: 3902505814693479946914232122945187201
Found probable prime factor of 37 digits: 3902505814693479946914232122945187201
Composite cofactor has 165 digits

GMP-ECM 6.2.1

243824497793396457157695281071537524590427598565699673829660810250881151190575939082501252646909037808114080747612376446679162713152731850998085293276833764395008663<165>

180319575129410883057691079740825840368341033872162721366987907183560366066647699<81>
1352179859665317353734788703564794076092922991762210673357950932217955153982499696237<85>

Number: n
N=243824497793396457157695281071537524590427598565699673829660810250881151190575939082501252646909037808114080747612376446679162713152731850998085293276833764395008663  ( 165 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Oct 23 15:30:56 2023  prp81 factor: 180319575129410883057691079740825840368341033872162721366987907183560366066647699
Mon Oct 23 15:30:56 2023  prp85 factor: 1352179859665317353734788703564794076092922991762210673357950932217955153982499696237
Mon Oct 23 15:30:56 2023  elapsed time 02:39:28 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.088).
Factorization parameters were as follows:
#
# N = 35x10^204-71 = 38(203)1
#
n: 243824497793396457157695281071537524590427598565699673829660810250881151190575939082501252646909037808114080747612376446679162713152731850998085293276833764395008663
m: 50000000000000000000000000000000000000000
deg: 5
c5: 112
c0: -71
skew: 0.91
# Murphy_E = 1.055e-11
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3291588 hash collisions in 19302145 relations (16452144 unique)
Msieve: matrix is 2254280 x 2254505 (637.7 MB)

Sieving start time: 2023/10/22 19:31:03
Sieving end time  : 2023/10/23 12:51:05

Total sieving time: 17hrs 20min 2secs.

Total relation processing time: 2hrs 31min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 36sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18700000,18700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2034257052033580667165461469113310475215520860655891577223566256164938871651857312876200270682099864766126150180283015803677726354590444411314154959717158404041695688357134220355680279<184>

10012295480129513002809932122776427273076998839569<50>

203175890690679730864627758998617457475350666193045627810731185479409239014776417249131462459254840713677082803451862837480705090855591<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2628496567
Step 1 took 76188ms
Step 2 took 28843ms
********** Factor found in step 2: 10012295480129513002809932122776427273076998839569
Found probable prime factor of 50 digits: 10012295480129513002809932122776427273076998839569

203175890690679730864627758998617457475350666193045627810731185479409239014776417249131462459254840713677082803451862837480705090855591<135>

366279424309003819547865638240887121676522997107524073110868306497<66>
554701894800606453560443552799817038132171285350042967762740639171303<69>

Number: 38881_205
N = 203175890690679730864627758998617457475350666193045627810731185479409239014776417249131462459254840713677082803451862837480705090855591 (135 digits)
Divisors found:
r1=366279424309003819547865638240887121676522997107524073110868306497 (pp66)
r2=554701894800606453560443552799817038132171285350042967762740639171303 (pp69)
Version: Msieve v. 1.51 (SVN 845)
Total time: 188.66 hours.
Factorization parameters were as follows:
# Murphy_E = 4.539e-11, selected by Erik Branger
# expecting poly E from 4.55e-011 to > 5.23e-011
n: 203175890690679730864627758998617457475350666193045627810731185479409239014776417249131462459254840713677082803451862837480705090855591
Y0: -157088251624289777372678192
Y1: 55630547578133
c0: -974937645305125831990721748849525
c1: 151014553838630250344024397
c2: 9621101829978314648257
c3: -8780355928769389
c4: -12021413288
c5: 2124
skew: 1024300.37
type: gnfs
# selected mechanically
rlim: 12800000
alim: 12800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12800000/12800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20508094
Relations: 3200710 relations
Pruned matrix : 1908401 x 1908627
Polynomial selection time: 0.00 hours.
Total sieving time: 183.64 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 4.26 hours.
time per square root: 0.57 hours.
Prototype def-par.txt line would be: gnfs,134,5,65,2000,1e-05,0.28,250,20,50000,3600,12800000,12800000,28,28,54,54,2.6,2.6,100000
total time: 188.66 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz

GGNFS, Msieve

1255246307087573827701995468710673748452741909011350996926655167899523812006051298489825634595401524520394872477902290390157527799615483629393345401520554694602130100071<169>

15691384135163455991878758997081081360045772428982315334716213014183487028598479077<83>
79995894324876141300895789408608947550851996568984387029559563973705949560983372856923<86>

07/27/24 00:21:20 v1.34.5 @ GEEKOM,
07/27/24 00:21:20 v1.34.5 @ GEEKOM, ****************************
07/27/24 00:21:20 v1.34.5 @ GEEKOM, Starting factorization of 3499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
07/27/24 00:21:20 v1.34.5 @ GEEKOM, using pretesting plan: normal
07/27/24 00:21:20 v1.34.5 @ GEEKOM, no tune info: using qs/gnfs crossover of 100 digits
07/27/24 00:21:20 v1.34.5 @ GEEKOM, ****************************
07/27/24 00:21:20 v1.34.5 @ GEEKOM, div: found prime factor = 3
07/27/24 00:21:20 v1.34.5 @ GEEKOM, div: found prime factor = 3
07/27/24 00:21:20 v1.34.5 @ GEEKOM, div: found prime factor = 3
07/27/24 00:21:20 v1.34.5 @ GEEKOM, rho: x^2 + 3, starting 1000 iterations on C207
07/27/24 00:21:20 v1.34.5 @ GEEKOM, rho: x^2 + 2, starting 1000 iterations on C207
07/27/24 00:21:20 v1.34.5 @ GEEKOM, rho: x^2 + 1, starting 1000 iterations on C207
07/27/24 00:21:20 v1.34.5 @ GEEKOM, pm1: starting B1 = 150K, B2 = gmp-ecm default on C207
07/27/24 00:21:20 v1.34.5 @ GEEKOM, prp11 = 84197888837
07/27/24 00:21:20 v1.34.5 @ GEEKOM, current ECM pretesting depth: 0.00
07/27/24 00:21:20 v1.34.5 @ GEEKOM, scheduled 30 curves at B1=2000 toward target pretesting depth of 60.31
07/27/24 00:21:20 v1.34.5 @ GEEKOM, prp14 = 38830795380821 (curve 4 stg2 B1=2000 sigma=264803049 thread=0)
07/27/24 00:21:20 v1.34.5 @ GEEKOM, Finished 4 curves using Lenstra ECM method on C196 input, B1=2K, B2=gmp-ecm default
07/27/24 00:21:20 v1.34.5 @ GEEKOM, current ECM pretesting depth: 0.00
07/27/24 00:21:20 v1.34.5 @ GEEKOM, scheduled 26 curves at B1=2000 toward target pretesting depth of 56.00
07/27/24 00:21:20 v1.34.5 @ GEEKOM, Finished 26 curves using Lenstra ECM method on C182 input, B1=2K, B2=gmp-ecm default
07/27/24 00:21:20 v1.34.5 @ GEEKOM, current ECM pretesting depth: 15.18
07/27/24 00:21:20 v1.34.5 @ GEEKOM, scheduled 74 curves at B1=11000 toward target pretesting depth of 56.00
07/27/24 00:21:20 v1.34.5 @ GEEKOM, prp14 = 31586233330181 (curve 1 stg1 B1=11000 sigma=3629297236 thread=0)
07/27/24 00:21:20 v1.34.5 @ GEEKOM, Finished 1 curves using Lenstra ECM method on C182 input, B1=11K, B2=gmp-ecm default
07/27/24 00:21:20 v1.34.5 @ GEEKOM, current ECM pretesting depth: 15.25
07/27/24 00:21:20 v1.34.5 @ GEEKOM, scheduled 73 curves at B1=11000 toward target pretesting depth of 52.00
07/27/24 00:21:22 v1.34.5 @ GEEKOM, Finished 73 curves using Lenstra ECM method on C169 input, B1=11K, B2=gmp-ecm default
07/27/24 00:21:22 v1.34.5 @ GEEKOM, current ECM pretesting depth: 20.24
07/27/24 00:21:22 v1.34.5 @ GEEKOM, scheduled 214 curves at B1=50000 toward target pretesting depth of 52.00
07/27/24 00:21:56 v1.34.5 @ GEEKOM, nfs: commencing nfs on c208: 3499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929
07/27/24 00:21:56 v1.34.5 @ GEEKOM, nfs: input divides 35*10^206 - 71
07/27/24 00:21:56 v1.34.5 @ GEEKOM, nfs: using supplied cofactor: 1255246307087573827701995468710673748452741909011350996926655167899523812006051298489825634595401524520394872477902290390157527799615483629393345401520554694602130100071
07/27/24 00:21:56 v1.34.5 @ GEEKOM, nfs: commencing snfs on c169: 1255246307087573827701995468710673748452741909011350996926655167899523812006051298489825634595401524520394872477902290390157527799615483629393345401520554694602130100071
07/27/24 00:21:56 v1.34.5 @ GEEKOM, gen: best 3 polynomials:
n: 1255246307087573827701995468710673748452741909011350996926655167899523812006051298489825634595401524520394872477902290390157527799615483629393345401520554694602130100071
# 35*10^206-71, difficulty: 208.54, anorm: 3.06e+026, rnorm: 1.17e+047
# scaled difficulty: 211.97, suggest sieving rational side
# size = 1.276e-014, alpha = 0.719, combined = 5.660e-012, rroots = 1
type: snfs
size: 208
skew: 0.7268
c5: 350
c0: -71
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 1255246307087573827701995468710673748452741909011350996926655167899523812006051298489825634595401524520394872477902290390157527799615483629393345401520554694602130100071
# 35*10^206-71, difficulty: 208.75, anorm: 1.02e+027, rnorm: 1.66e+047
# scaled difficulty: 212.12, suggest sieving rational side
# size = 1.013e-014, alpha = 0.026, combined = 4.929e-012, rroots = 1
type: snfs
size: 208
skew: 1.4537
c5: 175
c0: -1136
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 1255246307087573827701995468710673748452741909011350996926655167899523812006051298489825634595401524520394872477902290390157527799615483629393345401520554694602130100071
# 35*10^206-71, difficulty: 209.54, anorm: -1.38e+033, rnorm: 1.38e+040
# scaled difficulty: 210.71, suggest sieving rational side
# size = 1.195e-010, alpha = 0.322, combined = 3.789e-012, rroots = 2
type: snfs
size: 209
skew: 0.5222
c6: 3500
c0: -71
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
07/27/24 00:21:58 v1.34.5 @ GEEKOM, test: fb generation took 1.8872 seconds
07/27/24 00:21:58 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 0 on the rational side over range 20200000-20202000
skew: 0.7268
c5: 350
c0: -71
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
07/27/24 00:25:59 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
07/27/24 00:26:01 v1.34.5 @ GEEKOM, test: fb generation took 1.8843 seconds
07/27/24 00:26:01 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 1 on the rational side over range 20200000-20202000
skew: 1.4537
c5: 175
c0: -1136
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 20200000
alim: 20200000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
07/27/24 00:29:38 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
07/27/24 00:29:41 v1.34.5 @ GEEKOM, test: fb generation took 2.9852 seconds
07/27/24 00:29:41 v1.34.5 @ GEEKOM, test: commencing test sieving of polynomial 2 on the rational side over range 21400000-21402000
skew: 0.5222
c6: 3500
c0: -71
Y1: -1
Y0: 10000000000000000000000000000000000
m: 10000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
07/27/24 00:32:50 v1.34.5 @ GEEKOM, nfs: parsing special-q from .dat file
07/27/24 00:32:50 v1.34.5 @ GEEKOM, gen: selected polynomial:
n: 1255246307087573827701995468710673748452741909011350996926655167899523812006051298489825634595401524520394872477902290390157527799615483629393345401520554694602130100071
# 35*10^206-71, difficulty: 208.75, anorm: 1.02e+027, rnorm: 1.66e+047
# scaled difficulty: 212.12, suggest sieving rational side
# size = 1.013e-014, alpha = 0.026, combined = 4.929e-012, rroots = 1
type: snfs
size: 208
skew: 1.4537
c5: 175
c0: -1136
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
07/29/24 15:59:43 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
07/29/24 16:34:39 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 22164874
07/29/24 20:26:21 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
07/29/24 21:00:28 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 23348741
07/30/24 00:50:52 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
07/30/24 01:23:02 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 24516359
07/30/24 05:33:40 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
07/30/24 06:07:15 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 25780249
07/30/24 10:34:01 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
07/30/24 11:07:04 v1.34.5 @ GEEKOM, nfs: raising min_rels by 5.00 percent to 27126527
07/30/24 15:55:53 v1.34.5 @ GEEKOM, nfs: commencing msieve filtering
07/30/24 16:31:23 v1.34.5 @ GEEKOM, nfs: commencing msieve linear algebra
07/30/24 21:20:58 v1.34.5 @ GEEKOM, nfs: commencing msieve sqrt
07/30/24 21:30:52 v1.34.5 @ GEEKOM, prp86 = 79995894324876141300895789408608947550851996568984387029559563973705949560983372856923
07/30/24 21:30:52 v1.34.5 @ GEEKOM, prp83 = 15691384135163455991878758997081081360045772428982315334716213014183487028598479077
07/30/24 21:30:52 v1.34.5 @ GEEKOM, NFS elapsed time = 335335.8016 seconds.
07/30/24 21:30:52 v1.34.5 @ GEEKOM,
07/30/24 21:30:52 v1.34.5 @ GEEKOM,
07/27/24 00:32:50 v1.34.5 @ GEEKOM, test: test sieving took 653.20 seconds

YAFU

496329243991259284721680858502701318084128479240032965028443041486233747205490603789728311472329982621583862018443957267405882425626105954952722783680877386727<159>

32783641811449719813477192721020060207410191<44>
15139539616916989313949358056787896511120108248263260034331395572062274280488268509344646578067211888356927506160297<116>

#
# N = 35x10^207-71 = 38(206)1
#
n: 496329243991259284721680858502701318084128479240032965028443041486233747205490603789728311472329982621583862018443957267405882425626105954952722783680877386727
m: 100000000000000000000000000000000000000000
deg: 5
c5: 3500
c0: -71
skew: 0.46
# Murphy_E = 4.832e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 496329243991259284721680858502701318084128479240032965028443041486233747205490603789728311472329982621583862018443957267405882425626105954952722783680877386727 (159 digits)
Using B1=47380000, B2=240494804566, polynomial Dickson(12), sigma=1:792313916
Step 1 took 112357ms
Step 2 took 35118ms
********** Factor found in step 2: 32783641811449719813477192721020060207410191
Found prime factor of 44 digits: 32783641811449719813477192721020060207410191
Prime cofactor 15139539616916989313949358056787896511120108248263260034331395572062274280488268509344646578067211888356927506160297 has 116 digits

9085993412496371857640124613493667631954770304510816126560984434277020640094920203693996854791184393280495357035278760149770113886782598488608049898155643682632071971084630067276236198629990433623309<199>

13408544524999373648804102090551447526908575968603294163545445351123708598481398711751457013646371728468086425626471944153407810315131532310506277392863540649696528140590347898129<179>

989820482741162414818946157826262886987887<42>
13546440752434602488381211459620002633015571529320962096847092716993635909464805990372526585326893285626668071684211179456156558344983167<137>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3807825365
Step 1 took 73770ms
Step 2 took 24456ms
********** Factor found in step 2: 989820482741162414818946157826262886987887
Found probable prime factor of 42 digits: 989820482741162414818946157826262886987887

14177956935893267434225203295826411054262001851676936790936295520514596669988105362523774819698856142105150416271971420280848556749588303065415751819857229821294302143440941778581<179>

13693329738746964975391172217272573797561378362889920509138136042677596884491062903133369884058007229810238930081453300068305210057291128740060752887<149>

115405625867095872164475522202771779100563551002449847213807294190369<69>
118653918609796029722965330829833029021980333304514248938325937631930705408537623<81>

Number: 38881_216
N = 13693329738746964975391172217272573797561378362889920509138136042677596884491062903133369884058007229810238930081453300068305210057291128740060752887 (149 digits)
Divisors found:
r1=115405625867095872164475522202771779100563551002449847213807294190369 (pp69)
r2=118653918609796029722965330829833029021980333304514248938325937631930705408537623 (pp81)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 159.50 hours.
Factorization parameters were as follows:
n: 13693329738746964975391172217272573797561378362889920509138136042677596884491062903133369884058007229810238930081453300068305210057291128740060752887
# norm 2.304724e-14 alpha -6.699924 e 6.318e-12 rroots 5
skew: 14583391.67
c0: -74737698182595866999286718264856966360
c1: 14979636013631737664189725800744
c2: 7990464193765527052474894
c3: -480270850437489750
c4: -40262119943
c5: 240
Y0: -141664021710475472818379508939
Y1: 19036134025727
type: gnfs
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 43920144
Relations: 6799642 relations
Pruned matrix : 4044423 x 4044651
Polynomial selection time: 0.73 hours.
Total sieving time: 146.41 hours.
Total relation processing time: 0.68 hours.
Matrix solve time: 11.24 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: gnfs,148,5,65,2000,1e-05,0.28,250,20,50000,3600,19700000,19700000,29,29,58,58,2.6,2.6,100000
total time: 159.50 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 3.39GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

426237128419123433329217120911713390329042521171456596344262710873655385628300136521542881685662204910043838500149873923242164513148643838763231385448112497884691425716165558768631360361<186>

2240798246335465979964491874353024205856397422963728175930425699560561774392030478778955595179232417786186804710871051040186103841294162235486694025124332773039722245927786927222712214693722081851033369134611731<211>

83129835381301305205404240618461<32>

26955403388655053694406389020498058375709349880744439148189257522463831427553733777511543595944919147735575034334045439034380617862851669777567588868872513029357185259142425841071<179>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2928204821
Step 1 took 27302ms
Step 2 took 8937ms
********** Factor found in step 2: 83129835381301305205404240618461
Found probable prime factor of 32 digits: 83129835381301305205404240618461

26955403388655053694406389020498058375709349880744439148189257522463831427553733777511543595944919147735575034334045439034380617862851669777567588868872513029357185259142425841071<179>

4555977816575649140253899643688795436098951780023136491687114239<64>
5916491360117112240485796959762317835436478852993866996922235716607563491508019144612877948060892297163498346334289<115>

Number: 38881_219
N = 26955403388655053694406389020498058375709349880744439148189257522463831427553733777511543595944919147735575034334045439034380617862851669777567588868872513029357185259142425841071 (179 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=4555977816575649140253899643688795436098951780023136491687114239 (pp64)
r2=5916491360117112240485796959762317835436478852993866996922235716607563491508019144612877948060892297163498346334289 (pp115)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 57.76 hours.
Factorization parameters were as follows:
n: 26955403388655053694406389020498058375709349880744439148189257522463831427553733777511543595944919147735575034334045439034380617862851669777567588868872513029357185259142425841071
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: -142
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7025766 relations
Pruned matrix : 6153895 x 6154120
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 30.15 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 26.91 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 57.76 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

439799860692751590540171891833962371606217712818833397876598987531070070601314744548122446435137271865240156420621676906414923640874861875588858187596415916704842522841565592289442053319340230243141180675509513<210>

52013846990817845775392592857040786562778109079399984992548027412473<68>
8455438044611288349858175786513937166631892696323226481656397490915430229767871914215538107339896538206958789406068183198594104559909329070481<142>

Number: n
N=439799860692751590540171891833962371606217712818833397876598987531070070601314744548122446435137271865240156420621676906414923640874861875588858187596415916704842522841565592289442053319340230243141180675509513
  ( 210 digits)
SNFS difficulty: 222 digits.
Divisors found:

Thu Apr  2 08:04:44 2020  p68 factor: 52013846990817845775392592857040786562778109079399984992548027412473
Thu Apr  2 08:04:44 2020  p142 factor: 8455438044611288349858175786513937166631892696323226481656397490915430229767871914215538107339896538206958789406068183198594104559909329070481
Thu Apr  2 08:04:44 2020  elapsed time 12:00:20 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.131).
Factorization parameters were as follows:
#
# N = 35x10^221-71 = 38(220)1
#
n: 439799860692751590540171891833962371606217712818833397876598987531070070601314744548122446435137271865240156420621676906414923640874861875588858187596415916704842522841565592289442053319340230243141180675509513
m: 10000000000000000000000000000000000000
deg: 6
c6: 7
c0: -142
skew: 1.65
# Murphy_E = 1.936e-12
type: snfs
lss: 1
rlim: 36000000
alim: 36000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 36000000/36000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 101200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9835780 hash collisions in 57937259 relations (50182702 unique)
Msieve: matrix is 5059168 x 5059393 (1770.5 MB)

Sieving start time: 2020/03/30 15:06:55
Sieving end time  : 2020/04/01 20:03:16

Total sieving time: 52hrs 56min 21secs.

Total relation processing time: 11hrs 31min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 44sec.

Prototype def-par.txt line would be:
snfs,222,6,0,0,0,0,0,0,0,0,36000000,36000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.142709] 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, 4264K rodata, 2432K init, 2712K bss, 420236K reserved, 0K cma-reserved)
[    0.176573] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.53 BogoMIPS (lpj=11977076)
[    0.174219] smpboot: Total of 16 processors activated (95816.60 BogoMIPS)

384520761497856505405839664572210107949514285985746586244543221292313529379378176638353504168090340555157442671161057764270969402074919384416869632722258124099340469081755752166451308800848203<192>

12954557410010095111734416479167836813<38>
29682277003206152722045051922327232778483300189064343710175296307449434989548515187605748944552299532730088436428256743581999474459613952647764640849439031<155>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3948756132
Step 1 took 19686ms
Step 2 took 7493ms
********** Factor found in step 2: 12954557410010095111734416479167836813
Found probable prime factor of 38 digits: 12954557410010095111734416479167836813

15673079318214095596500630206762981334951528135476835028537446324569534881945610595703429073979107427813453548180102502022847834050964529548962043193586087192837490075808820681365699811568648019363032066387<206>

51008799613267564871880529136883059<35>
307262265276626379564164955934873494639842160779684260730275235767792063677617591150540395990400387804293834361958728253820047731603782994625903478459868558658943394604193<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1771558
Step 1 took 22879ms
********** Factor found in step 1: 51008799613267564871880529136883059
Found probable prime factor of 35 digits: 51008799613267564871880529136883059

2860232141343846566033893423991251285367894090343619300160034074354104420864690671205773354061027057060568847871525563651646933925123535469207598835934551024048913565337386037114862591587697700267121165726018036296999641<220>

508353005649382812928125068662370519068417<42>
5626468437400334960749472765778187118492848998827962473217577706545071793123747764041051965600675475170829399892869764396884219479243831630517445904174576595579119263840288115673<178>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1444001377
Step 1 took 18187ms
Step 2 took 11937ms
********** Factor found in step 2: 508353005649382812928125068662370519068417
Found probable prime factor of 42 digits: 508353005649382812928125068662370519068417
Probable prime cofactor

1628367522270253406809758681862994559217059524401015296179200337691542363224578482584690997301525492753197725078436376679290245477076095526061246368142235127511785801985196771094352127161662173160676419249889<208>

5172768640244701438816422386848101973718340633404730910329903423448168560231525527267611341576339535203661824883690020973066737622126502520608484081261826246927984533127906600235336430605838708340119534171211<208>

14953518203330369120038089857<29>

345923184758798069767320073368350627897516323085386156114613458553658132415409593562261217827269836871092597852796892549119338120617650698524197723783920864060003493532384779768523<180>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=142598398
Step 1 took 32266ms
Step 2 took 11757ms
********** Factor found in step 2: 14953518203330369120038089857
Found probable prime factor of 29 digits: 14953518203330369120038089857

6082497926664047072305323109512534326847843002851585197667925285824788225536166555285654183104750745820400841640918782709508548011159899287437801799696330612985981564727468723922897646575441889<193>

49594972881160811275404725147097703<35>
122643436891051309067835564875638711459914786543713677104831900927387780107565768688696806464722533547136153296748818994745142429684266987914573089496995782263<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=298248100
Step 1 took 23924ms
Step 2 took 8008ms
********** Factor found in step 2: 49594972881160811275404725147097703
Found probable prime factor of 35 digits: 49594972881160811275404725147097703

18664959101715267764646283405788782249521930314825730523329204981121120470061827825813433186703479703734813541308930327014752097927712622597463792619939937174528893382222274029641123928765220609492794773477193979830313<218>

1410075996380226810995569137697<31>

13236846205190109444574962529748821038208393790563289161975078784404227215479481018244020968274420211933343243022654623381083959002012455567396072016028948576228300756611200907932550424329<188>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1788364819
Step 1 took 33099ms
Step 2 took 8791ms
********** Factor found in step 2: 1410075996380226810995569137697
Found probable prime factor of 31 digits: 1410075996380226810995569137697

344220657595535928258626386553244357625481684415215266918827231030882440072795347914244233016304947002560969353812074019830654871068624895135129667760512652241867852862445809<174>

2757999996713210152989360456499939567<37>
124808070342912917580385160752419918334090575996084599691421958034402663798769485814999848958538704536984112496130656672097797389269482527<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2448851622
Step 1 took 24732ms
Step 2 took 8709ms
********** Factor found in step 2: 2757999996713210152989360456499939567
Found probable prime factor of 37 digits: 2757999996713210152989360456499939567

845392249926933955542029279556724612266883087082647961759285426162233188167406988736959824544877043735764198362837522855783328381750155189863022301447553072517747198732394706395271600375837240253231209949542159711503856196362881<228>

646944523461885822624313022726568847559428712508174939801449484189082237917554009371655457533592502964154102421136458403224463047538244940217564732170463161913309924805851868167743730916627619165152646962760935563881<216>

284132970955229241786950288263339550711233616093957283129056743223957230594255182802093912465049721774210222972710721094322744826357356446152138688775437618734073731069770584584274117411959413541639278423646271972688233<219>

7830598927377731309818832435867<31>

36284960268087457394836041211723655546117732601602089813793417286090647783510310103546824761582041171016092589934188221467151572675351155230844513165240656587829708054488951146698043892299<188>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=94950173
Step 1 took 34354ms
********** Factor found in step 1: 7830598927377731309818832435867
Found probable prime factor of 31 digits: 7830598927377731309818832435867

36284960268087457394836041211723655546117732601602089813793417286090647783510310103546824761582041171016092589934188221467151572675351155230844513165240656587829708054488951146698043892299<188>

197097503859454269962880832297197883009<39>
184096498218269847466967339433277657085633734146369399478106099495300135654484648364722042197364857513483403383203719497163386564916237258716066308811<150>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4226633637
Step 1 took 22831ms
Step 2 took 11513ms
********** Factor found in step 2: 197097503859454269962880832297197883009
Found probable prime factor of 39 digits: 197097503859454269962880832297197883009

52336938722311979399227489408595019376490241712802653860456571037558784178538579339904047876008423294134675405206220837382038538306921651974923100337795118518861679364544831902682253350501769252232218250038481519249660717532973<227>

468286175276136004768962360979<30>
111762724345749193249827339908147963796566863989545290076719785013328245035581426438214979712933990347533993982293634024391369104772224621528302010715285300451715853771019142087591841334026869908287<198>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3871671612
Step 1 took 40340ms
Step 2 took 13626ms
********** Factor found in step 2: 468286175276136004768962360979
Found probable prime factor of 30 digits: 468286175276136004768962360979

95526624634951827287862660007096263544310707169955511886241436720434509675482409454406506727803706433035836130898769071208275335025519255438194273861186167744752858975408717486830972461038783809601790441878872239962881082998990147111<233>

25199525083393531298944966194977027<35>
3790810514040354016072475221077567336605241547131605862491360322638459804813016681077861800760860700901015115344646826772996874245538440764935996357754092413001484950496375282401943001484445500506893<199>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1743975345
Step 1 took 47702ms
Step 2 took 15371ms
********** Factor found in step 2: 25199525083393531298944966194977027
Found probable prime factor of 35 digits: 25199525083393531298944966194977027