1024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531<151>

2205331001349523573387368105769<31>
464570181938256034584375771245098460597040578279992603056301171490975801434203173520421749936099623719003021600191268699<120>

Number: trial
N=1024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531
  ( 151 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=2205331001349523573387368105769 (pp31)
 r2=464570181938256034584375771245098460597040578279992603056301171490975801434203173520421749936099623719003021600191268699 (pp120)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 56.86 hours.
Scaled time: 27.41 units (timescale=0.482).
Factorization parameters were as follows:
n: 1024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531024531
m: 1000000000000000000000000000000
c5: 710
c0: -17
skew: 1
type: snfsFactor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2300001)
Primes: RFBsize:176302, AFBsize:176394, largePrimes:5541572 encountered
Relations: rels:5380892, finalFF:396083
Max relations in full relation-set: 0
Initial matrix: 352763 x 396083 with sparse part having weight 35361529.
Pruned matrix : 336068 x 337895 with weight 27207539.
Total sieving time: 46.19 hours.
Total relation processing time: 0.48 hours.
Matrix solve time: 9.73 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 56.86 hours.
 --------- CPU info (if available) ----------

GGNFS-0.77.1-20060722-pentium4

Pentium 4 3.20 GHz, 1 Gig RAM, Windows XP and Cygwin

133680614392344757498170778665032531414430724998130071499961029024244849458358250472303926326253296322462495221636126193770469832606543933<138>

53701924431312439410408177111495360811709318993<47>
2489307707460823521893037761555514767129507905859057023337340854513007304174704820222113581<91>

Number: n
N=133680614392344757498170778665032531414430724998130071499961029024244849458358250472303926326253296322462495221636126193770469832606543933
  ( 138 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=53701924431312439410408177111495360811709318993 (pp47)
 r2=2489307707460823521893037761555514767129507905859057023337340854513007304174704820222113581 (pp91)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 44.09 hours.
Scaled time: 52.56 units (timescale=1.192).
Factorization parameters were as follows:
name: KA_7_8_153_7
n: 133680614392344757498170778665032531414430724998130071499961029024244849458358250472303926326253296322462495221636126193770469832606543933
type: snfs
skew: 1
deg: 5
c5: 71
c0: -170
m: 10000000000000000000000000000000
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [1600000, 3100001)
Primes: RFBsize:230209, AFBsize:229943, largePrimes:7474870 encountered
Relations: rels:6962838, finalFF:520544
Max relations in full relation-set: 28
Initial matrix: 460217 x 520544 with sparse part having weight 39980357.
Pruned matrix : 426050 x 428415 with weight 29284340.
Total sieving time: 36.86 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 6.44 hours.
Total square root time: 0.58 hours, sqrts: 4.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.3,2.3,100000
total time: 44.09 hours.
 --------- CPU info (if available) ----------

Cygwin on Amd XP 2700+

357581882436031711187298212073967816854980617777699009036351023750130322227963174162910004582537732531280192848039016675810941946173440982402131437823<150>

31099767261536178071546920819<29>
36223816354507886781000373247374248840998059419011231<53>
317412601069020689414883025797217762217539557105881695471292639044507<69>

Number: n
N=357581882436031711187298212073967816854980617777699009036351023750130322227963174162910004582537732531280192848039016675810941946173440982402131437823
  ( 150 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=31099767261536178071546920819 (pp29)
 r2=36223816354507886781000373247374248840998059419011231 (pp53)
 r3=317412601069020689414883025797217762217539557105881695471292639044507 (pp69)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 41.42 hours.
Scaled time: 54.67 units (timescale=1.320).
Factorization parameters were as follows:
name: KA_7_8_155_7
n: 357581882436031711187298212073967816854980617777699009036351023750130322227963174162910004582537732531280192848039016675810941946173440982402131437823
skew: 0.47
deg: 5
c5: 710
c0: -17
m: 10000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1700001)
Primes: RFBsize:216816, AFBsize:216537, largePrimes:7225880 encountered
Relations: rels:6720908, finalFF:521001
Max relations in full relation-set: 48
Initial matrix: 433420 x 521001 with sparse part having weight 48206832.
Pruned matrix : 366512 x 368743 with weight 28578075.
Total sieving time: 36.36 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 4.66 hours.
Total square root time: 0.17 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 41.42 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

742988107331573169768454412702031408998872140733172977787877843873048826893893338050791024272278018376594598175484284973<120>

40952345579027162659509811761961327<35>
18142748524569935341717716457506943467605125808300221525169648512901304619161112676899<86>

GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM]
Input number is 742988107331573169768454412702031408998872140733172977787877843873048826893893338050791024272278018376594598175484284973 (120 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1113499011
Step 1 took 6663ms
Step 2 took 3668ms
********** Factor found in step 2: 40952345579027162659509811761961327
Found probable prime factor of 35 digits: 40952345579027162659509811761961327
Probable prime cofactor 18142748524569935341717716457506943467605125808300221525169648512901304619161112676899 has 86 digits

Core 2 Quad Q6600

10605328931973303722146296535146690489817995770435242015945998802516140368758033356793833779372410945188403025379623322348151043689364456332539263242291<152>

1719997418393992940622623083871<31>
38022766744779558259291504973562443163143<41>
162163322041498669991056527746571842965333158652283809975565132898038976089503147<81>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 10605328931973303722146296535146690489817995770435242015945998802516140368758033356793833779372410945188403025379623322348151043689364456332539263242291 (152 digits)
Using B1=236500, B2=107612585, polynomial Dickson(3), sigma=200058169
Step 1 took 3715ms
Step 2 took 2313ms
********** Factor found in step 2: 1719997418393992940622623083871
Found probable prime factor of 31 digits: 1719997418393992940622623083871
Composite cofactor 6165898168542473574307773364460013729519839036429244725014948436620794873475348523618227723814453545663131125677932911021 has 121 digits


GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 6165898168542473574307773364460013729519839036429244725014948436620794873475348523618227723814453545663131125677932911021 (121 digits)
Using B1=1880500, B2=2064614572, polynomial Dickson(6), sigma=190527442
Step 1 took 22612ms
Step 2 took 13129ms
********** Factor found in step 2: 38022766744779558259291504973562443163143
Found probable prime factor of 41 digits: 38022766744779558259291504973562443163143
Probable prime cofactor 162163322041498669991056527746571842965333158652283809975565132898038976089503147 has 81 digits

585008175279140956000239055763253644681473607546093949727378486339020511732144089823941567181844887928265915232069863409893526262701564638888505955720633986411<159>

651848668311457681434595316282892913713581<42>
897460106491496446614435004796283119759388322955462991597812172002637625312740762585824492525266076716658116988493431<117>

Number: n
N=585008175279140956000239055763253644681473607546093949727378486339020511732144089823941567181844887928265915232069863409893526262701564638888505955720633986411
  ( 159 digits)
SNFS difficulty: 167 digits.
Divisors found:

Tue Jan 15 05:36:06 2008  prp42 factor: 651848668311457681434595316282892913713581
Tue Jan 15 05:36:06 2008  prp117 factor: 897460106491496446614435004796283119759388322955462991597812172002637625312740762585824492525266076716658116988493431
Tue Jan 15 05:36:06 2008  elapsed time 03:06:55 (Msieve 1.32)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 124.47 hours.
Scaled time: 162.43 units (timescale=1.305).
Factorization parameters were as follows:
name: KA_7_8_165_7
n: 585008175279140956000239055763253644681473607546093949727378486339020511732144089823941567181844887928265915232069863409893526262701564638888505955720633986411
skew: 0.47
deg: 5
c5: 710
c0: -17
m: 1000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5001307)
Primes: RFBsize:230209, AFBsize:229783, largePrimes:8029739 encountered
Relations: rels:7472162, finalFF:393297
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 124.03 hours.
Total relation processing time: 0.44 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 124.47 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

25828977712175928001232992124903971311504607636923337267752339195035822697201063928639495407382672598683865293736705212897237409<128>

81536190423163571092923033457303<32>
115590451395574759743903097570647982150751<42>
2740531773173258744191221418003242079036846153092673753<55>

GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 25828977712175928001232992124903971311504607636923337267752339195035822697201063928639495407382672598683865293736705212897237409 (128 digits)
Using B1=314000, B2=161160034, polynomial Dickson(3), sigma=344281278
Step 1 took 3750ms
Step 2 took 2328ms
********** Factor found in step 2: 81536190423163571092923033457303
Found probable prime factor of 32 digits: 81536190423163571092923033457303
Composite cofactor 316779304725011877124301481980306957487837556226816564915372139752044167430993971558690106938503 has 96 digits


Thu Feb 14 11:42:36 2008  
Thu Feb 14 11:42:36 2008  
Thu Feb 14 11:42:36 2008  Msieve v. 1.33
Thu Feb 14 11:42:36 2008  random seeds: ab969178 270d785b
Thu Feb 14 11:42:36 2008  factoring 316779304725011877124301481980306957487837556226816564915372139752044167430993971558690106938503 (96 digits)
Thu Feb 14 11:42:37 2008  searching for 15-digit factors
Thu Feb 14 11:42:38 2008  commencing quadratic sieve (96-digit input)
Thu Feb 14 11:42:38 2008  using multiplier of 5
Thu Feb 14 11:42:38 2008  using 64kb Opteron sieve core
Thu Feb 14 11:42:38 2008  sieve interval: 18 blocks of size 65536
Thu Feb 14 11:42:38 2008  processing polynomials in batches of 6
Thu Feb 14 11:42:38 2008  using a sieve bound of 2265611 (83426 primes)
Thu Feb 14 11:42:38 2008  using large prime bound of 339841650 (28 bits)
Thu Feb 14 11:42:38 2008  using double large prime bound of 2271422065653900 (43-52 bits)
Thu Feb 14 11:42:38 2008  using trial factoring cutoff of 52 bits
Thu Feb 14 11:42:38 2008  polynomial 'A' values have 12 factors
Thu Feb 14 16:54:45 2008  83627 relations (20300 full + 63327 combined from 1266567 partial), need 83522
Thu Feb 14 16:54:46 2008  begin with 1286866 relations
Thu Feb 14 16:54:47 2008  reduce to 219798 relations in 11 passes
Thu Feb 14 16:54:47 2008  attempting to read 219798 relations
Thu Feb 14 16:54:50 2008  recovered 219798 relations
Thu Feb 14 16:54:50 2008  recovered 206527 polynomials
Thu Feb 14 16:54:50 2008  attempting to build 83627 cycles
Thu Feb 14 16:54:50 2008  found 83627 cycles in 5 passes
Thu Feb 14 16:54:51 2008  distribution of cycle lengths:
Thu Feb 14 16:54:51 2008     length 1 : 20300
Thu Feb 14 16:54:51 2008     length 2 : 14221
Thu Feb 14 16:54:51 2008     length 3 : 14186
Thu Feb 14 16:54:51 2008     length 4 : 11367
Thu Feb 14 16:54:51 2008     length 5 : 8506
Thu Feb 14 16:54:51 2008     length 6 : 5896
Thu Feb 14 16:54:51 2008     length 7 : 3790
Thu Feb 14 16:54:51 2008     length 9+: 5361
Thu Feb 14 16:54:51 2008  largest cycle: 19 relations
Thu Feb 14 16:54:51 2008  matrix is 83426 x 83627 (23.6 MB) with weight 5854011 (70.00/col)
Thu Feb 14 16:54:51 2008  sparse part has weight 5854011 (70.00/col)
Thu Feb 14 16:54:53 2008  filtering completed in 3 passes
Thu Feb 14 16:54:53 2008  matrix is 79580 x 79644 (22.7 MB) with weight 5620651 (70.57/col)
Thu Feb 14 16:54:53 2008  sparse part has weight 5620651 (70.57/col)
Thu Feb 14 16:54:54 2008  saving the first 48 matrix rows for later
Thu Feb 14 16:54:54 2008  matrix is 79532 x 79644 (17.0 MB) with weight 4764049 (59.82/col)
Thu Feb 14 16:54:54 2008  sparse part has weight 3989892 (50.10/col)
Thu Feb 14 16:54:54 2008  matrix includes 64 packed rows
Thu Feb 14 16:54:54 2008  using block size 21845 for processor cache size 512 kB
Thu Feb 14 16:54:55 2008  commencing Lanczos iteration
Thu Feb 14 16:54:55 2008  memory use: 14.8 MB
Thu Feb 14 16:56:09 2008  lanczos halted after 1258 iterations (dim = 79530)
Thu Feb 14 16:56:09 2008  recovered 17 nontrivial dependencies
Thu Feb 14 16:56:10 2008  prp42 factor: 115590451395574759743903097570647982150751
Thu Feb 14 16:56:10 2008  prp55 factor: 2740531773173258744191221418003242079036846153092673753
Thu Feb 14 16:56:10 2008  elapsed time 05:13:34

18268477755280836423775397397311493833809308462958858798539984335848791528224787061958360337859405752134076680695538897022388485946815868458429689903283697<155>

11409640629076421191434060010145846556226043653471327<53>
1601144010506807619000508842408173481687372550772951863625802499128877259926572721944100979348066363311<103>

Number: n
N=18268477755280836423775397397311493833809308462958858798539984335848791528224787061958360337859405752134076680695538897022388485946815868458429689903283697
  ( 155 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sun Jul 27 06:14:21 2008  prp53 factor: 11409640629076421191434060010145846556226043653471327
Sun Jul 27 06:14:21 2008  prp103 factor: 1601144010506807619000508842408173481687372550772951863625802499128877259926572721944100979348066363311
Sun Jul 27 06:14:21 2008  elapsed time 04:24:45 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 81.67 hours.
Scaled time: 117.77 units (timescale=1.442).
Factorization parameters were as follows:
name: KA_7_8_168_7
n: 18268477755280836423775397397311493833809308462958858798539984335848791528224787061958360337859405752134076680695538897022388485946815868458429689903283697
skew: 1.19
deg: 5
c5: 71
c0: -170
m: 10000000000000000000000000000000000
type: snfs
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 3900001)
Primes: RFBsize:425648, AFBsize:425813, largePrimes:10128244 encountered
Relations: rels:9731875, finalFF:881380
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 81.20 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,50,50,2.5,2.5,100000
total time: 81.67 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

20420048306009174199433788969740439342448980838301017872131156786256424455380537910470509179869439410058419671254422931255136857208344475008636852033785021448689<161>

743770934175463115201037183333790751921305348910579<51>
82351698218466862057837603678567544986836853816071383<53>
333384192006290094571037308928858215235936225349216967277<57>

Number: 78887_171
N=20420048306009174199433788969740439342448980838301017872131156786256424455380537910470509179869439410058419671254422931255136857208344475008636852033785021448689
  ( 161 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=743770934175463115201037183333790751921305348910579
 r2=82351698218466862057837603678567544986836853816071383
 r3=333384192006290094571037308928858215235936225349216967277
Version: 
Total time: 98.26 hours.
Scaled time: 248.98 units (timescale=2.534).
Factorization parameters were as follows:
n: 20420048306009174199433788969740439342448980838301017872131156786256424455380537910470509179869439410058419671254422931255136857208344475008636852033785021448689
m: 20000000000000000000000000000000000
deg: 5
c5: 355
c0: -272
skew: 0.95
Y0: 20000000000000000000000000000000000
Y1: -1
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
qintsize: 1000000
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved rational special-q in [3050000, 7050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 996316 x 996564
Total sieving time: 98.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,6100000,6100000,27,27,53,53,2.6,2.6,100000
total time: 98.26 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve 1.38

C2Q Q6600 2.40 Ghz, 4 Gb RAM, Vista 32-bit

28341109182351822524399586849835969517898239138496522480536844690401075921132217177734311314278121654348265974147222380787602769778535546712832600200397<152>

65628690505943088704613875545166892622796643592280453168138482309<65>
431840235785069606057545014433193432555050116198797266399283862285985248410331533393833<87>

N = 28341109182351822524399586849835969517898239138496522480536844690401075921132217177734311314278121654348265974147222380787602769778535546712832600200397 (152 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=65628690505943088704613875545166892622796643592280453168138482309 (pp65)
r2=431840235785069606057545014433193432555050116198797266399283862285985248410331533393833 (pp87)
Version: Msieve v. 1.48
Total time: 29.38 hours.
Factorization parameters were as follows:
name: (71*10^173-17)/9
n: 28341109182351822524399586849835969517898239138496522480536844690401075921132217177734311314278121654348265974147222380787602769778535546712832600200397
Y0: 10000000000000000000000000000000000
Y1: -1
c0: -17
c1: 0
c2: 0
c3: 0
c4: 0
c5: 71000
skew: 0.19
type: snfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19690912
Relations: 2382014 relations
Pruned matrix : 1329348 x 1329573
Polynomial selection time: 0.00 hours.
Total sieving time: 26.95 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.21 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 29.38 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

788888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<177>

12444683223615891402820327212798136433<38>
3674375738140870081368352967131977691087<40>
17252356679429901956285793702431420438333359105122269293068907650150673519737446668316923181906393897<101>

Number: 78887_176
N=788888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 177 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=12444683223615891402820327212798136433 (pp38)
 r2=3674375738140870081368352967131977691087 (pp40)
 r3=17252356679429901956285793702431420438333359105122269293068907650150673519737446668316923181906393897 (pp101)
Version: GGNFS-0.77.1-20060722-pentium4
Total time: 853.40 hours.
Scaled time: 520.57 units (timescale=0.610).
Factorization parameters were as follows:
name: 78887_176
n: 788888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 100000000000000000000000000000000000
c5: 710
c0: -17
skew: 4
type: snfs
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3700000, 21600001
)
Primes: RFBsize:501962, AFBsize:500612, largePrimes:7104377 encountered
Relations: rels:7627236, finalFF:1123512
Max relations in full relation-set: 0
Initial matrix: 1002641 x 1123512 with sparse part having weight 126171183.
Pruned matrix : 914469 x 919546 with weight 104654058.
Total sieving time: 754.46 hours.
Total relation processing time: 2.84 hours.
Matrix solve time: 95.54 hours.
Time per square root: 0.56 hours.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 853.40 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin

32601628265626926294148704698926157615121967748880860223983378102804722876654487015914273989816212174383941497706845485998455151761394570619587636071676481<155>

11014390483716987004425592719110882094374683546550404911497183<62>
2959912154360535371372564206653074242833473460848087434155328990306378609341001447090963581407<94>

N=32601628265626926294148704698926157615121967748880860223983378102804722876654487015914273989816212174383941497706845485998455151761394570619587636071676481
  ( 155 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=11014390483716987004425592719110882094374683546550404911497183 (pp62)
 r2=2959912154360535371372564206653074242833473460848087434155328990306378609341001447090963581407 (pp94)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 128.69 hours.
Scaled time: 146.84 units (timescale=1.141).
Factorization parameters were as follows:
n: 32601628265626926294148704698926157615121967748880860223983378102804722876654487015914273989816212174383941497706845485998455151761394570619587636071676481
m: 500000000000000000000000000000000000
deg: 5
c5: 1136
c0: -85
skew: 0.60
# Murphy_E = 8.507e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 9700001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1481668 x 1481897
Total sieving time: 125.21 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 3.08 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 128.69 hours.
 --------- CPU info (if available) ----------

2103248981281515965462048666861111473781804928850566688405834917730209436326314397355345120232052619123583759654917350980081396913425851<136>

22243115461974951354021306495412343057632538819592241443325409<62>
94557301780726803558911210648895007168696726893232003329627298287143866139<74>

Number: n
N=2103248981281515965462048666861111473781804928850566688405834917730209436326314397355345120232052619123583759654917350980081396913425851
  ( 136 digits)
Divisors found:

Tue May 29 06:06:09 2012  prp62 factor: 22243115461974951354021306495412343057632538819592241443325409
Tue May 29 06:06:09 2012  prp74 factor: 94557301780726803558911210648895007168696726893232003329627298287143866139
Tue May 29 06:06:09 2012  elapsed time 03:13:25 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.097).
Factorization parameters were as follows:
name: KA_78887_180
n: 2103248981281515965462048666861111473781804928850566688405834917730209436326314397355345120232052619123583759654917350980081396913425851
skew: 86097.50
# norm 1.92e+18
c5: 107700
c4: 256550182864
c3: 10114639861797697
c2: 1243440954789037552363
c1: -23360570865553394162556149
c0: -418556698486764403987271262555
# alpha -5.45
Y1: 645406328194399
Y0: -114323056932336499852781056
# Murphy_E 3.78e-11
# M 445206084287165627971004583274348449815876924997504588150804670314477676309960225488666868155588843060843401320189170914387472529267956
type: gnfs
rlim: 15000000
alim: 15000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 14580000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2506036 hash collisions in 24884366 relations (23269899 unique)
Msieve: matrix is 1493320 x 1493546 (432.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,15000000,15000000,28,28,55,55,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.43 BogoMIPS (lpj=2830715)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22644.15 BogoMIPS).

8824783516226005573875572709268654436052599959374806543322217820467133575759576702925271597646511472193136003604434037743418134625520449217307<142>

1394792581859503367729469036236315427239210379551059<52>
6326950423310267361956242150667109081111857860453840776212947936341439521514651210044610073<91>

N=8824783516226005573875572709268654436052599959374806543322217820467133575759576702925271597646511472193136003604434037743418134625520449217307
  ( 142 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=1394792581859503367729469036236315427239210379551059 (pp52)
 r2=6326950423310267361956242150667109081111857860453840776212947936341439521514651210044610073 (pp91)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 146.66 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 8824783516226005573875572709268654436052599959374806543322217820467133575759576702925271597646511472193136003604434037743418134625520449217307
m: 1000000000000000000000000000000000000
deg: 5
c5: 710
c0: -17
skew: 0.47
# Murphy_E = 7.394e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 240000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 11100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1561508 x 1561735
Total sieving time: 143.74 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.32 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time: 146.66 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

996708923198713144770149600370289889449520621376090741094556310205774815984575396945550927902612636434757710817978914939<120>

13855196374270107186027526900439874151942013<44>
71937552978293304611770250967086159641208638041183449177873097949335842345303<77>

r1=13855196374270107186027526900439874151942013 (pp44)                                 
r2=71937552978293304611770250967086159641208638041183449177873097949335842345303 (pp77)

skew: 44899.59
# norm 2.44e+016
c5: 36540
c4: -12653216212
c3: 487308661251077
c2: 24468059663304010833
c1: 43344197537957658137219
c0: -2793341395855198500654392085
# alpha -5.46
Y1: 1416246269647
Y0: -122225074088335592900342
# Murphy_E 2.94e-010
# M 892389320392560569094612128195562317644209955514499986657591571589603307854782580578088218581614492481306060370855465122
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4

special-q: [2000000;2708819)U[3000000;3256093)

maxrelsinff=14
rels:9724854, initialFF:0, finalFF:772267                                 
Pruning matrix with wt=0.700                                              
Initial matrix is 664491 x 772267 with sparse part having weight 50696051.
(total weight is 89193220)                                                
Matrix pruned to 610266 x 613652 with weight 33681497.                    

factors found on 0 dependency

ggnfs-0.77.1-20060513-win32-athlon-xp

Athlon 64 3700+, Windows XP

162188602820404985401894032839261382252261423173942377565925436890641489822993270061956582123515174591894021322633630449538149226299<132>

2689572403442632769337374190077<31>
1925866741774738582164323933510316983<37>
31312003673636456198021235073960417940459037776283793591711449889<65>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 162188602820404985401894032839261382252261423173942377565925436890641489822993270061956582123515174591894021322633630449538149226299 (132 digits)
Using B1=246000, B2=128973400, polynomial Dickson(3), sigma=338114551
Step 1 took 2418ms
Step 2 took 1171ms
********** Factor found in step 2: 2689572403442632769337374190077
Found probable prime factor of 31 digits: 2689572403442632769337374190077
Composite cofactor 60302746493384886847709617108784565070134687576182721026645805344525114269394313542409814350910164887 has 101 digits


Number: n
N=60302746493384886847709617108784565070134687576182721026645805344525114269394313542409814350910164887
  ( 101 digits)
Divisors found:

Sun Feb 17 10:05:35 2008  prp37 factor: 1925866741774738582164323933510316983
Sun Feb 17 10:05:35 2008  prp65 factor: 31312003673636456198021235073960417940459037776283793591711449889
Sun Feb 17 10:05:35 2008  elapsed time 00:11:39 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-k8
Total time: 5.51 hours.
Scaled time: 4.60 units (timescale=0.835).
Factorization parameters were as follows:
name: KA_7_8_183
n: 60302746493384886847709617108784565070134687576182721026645805344525114269394313542409814350910164887
skew: 1591.76
# norm 2.54e+13
c5: 490680
c4: -2420530822
c3: 1607362527322
c2: 7712572522997431
c1: -1015553300418810242
c0: -2676058812104523333649
# alpha -5.19
Y1: 13671193657
Y0: -10420973927095743510
# Murphy_E 3.29e-09
# M 13575008737661884978698488583945020638176130417697145616183711579278417102206895065551839353226346846
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 800001)
Primes: RFBsize:135072, AFBsize:136018, largePrimes:3464132 encountered
Relations: rels:3423937, finalFF:377196
Max relations in full relation-set: 28
Initial matrix: 271178 x 377196 with sparse part having weight 20957178.
Pruned matrix : 173729 x 175148 with weight 7500817.
Polynomial selection time: 0.55 hours.
Total sieving time: 4.69 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.51 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM)
Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888)
Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656)
Total of 2 processors activated (11993.08 BogoMIPS).

1348361358909399339335782319285350179995234147370219351932147281979077090323662992743689062400018164255966470113624783618982776669284193751045802843365152594896577<163>

177359342729650827296992092297960894131813621018172540605070389035822443733019759<81>
7602426453309026080026356968103416141634460611591019400289016907365194562117834703<82>

N=1348361358909399339335782319285350179995234147370219351932147281979077090323662992743689062400018164255966470113624783618982776669284193751045802843365152594896577
  ( 163 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r2=177359342729650827296992092297960894131813621018172540605070389035822443733019759 (pp81)
 r3=7602426453309026080026356968103416141634460611591019400289016907365194562117834703 (pp82)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 132.86 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1348361358909399339335782319285350179995234147370219351932147281979077090323662992743689062400018164255966470113624783618982776669284193751045802843365152594896577
m: 10000000000000000000000000000000000000
deg: 5
c5: 71
c0: -17
skew: 0.75
# Murphy_E = 7.617e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 10550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1572093 x 1572328
Total sieving time: 129.77 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.38 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 132.86 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

192833981821483603744252996793764174842319886815934965236910614585800697046778228274092629072909945569213530178249807989837493644974040714656125331055963<153>

282936814991345173094140822754313421317192213161<48>
681544329349230328840170424497623815556735680404006131862567277798597948255806797493875509340515026947683<105>

N=192833981821483603744252996793764174842319886815934965236910614585800697046778228274092629072909945569213530178249807989837493644974040714656125331055963
  ( 153 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=282936814991345173094140822754313421317192213161 (pp48)
 r2=681544329349230328840170424497623815556735680404006131862567277798597948255806797493875509340515026947683 (pp105)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 232.87 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 192833981821483603744252996793764174842319886815934965236910614585800697046778228274092629072909945569213530178249807989837493644974040714656125331055963
m: 10000000000000000000000000000000000000
deg: 5
c5: 710
c0: -17
skew: 0.47
# Murphy_E = 4.63e-11
type: snfs
lss: 1
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4750000, 15550001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 2014390 x 2014618
Total sieving time: 228.45 hours.
Total relation processing time: 0.26 hours.
Matrix solve time: 3.92 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,54,54,2.5,2.5,100000
total time: 232.87 hours.
 --------- CPU info (if available) ----------
[    0.074309] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49296732k/51380224k available (5105k kernel code, 1057796k absent, 1025696k reserved, 7223k data, 1316k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.00 BogoMIPS (lpj=2400000)
[    0.707507] Total of 16 processors activated (76799.07 BogoMIPS).

5085119634770558916372053445156363084150347847993244486816725628628976713335202366080749376195851841642507402316418631134938552675942956193027401526240770999752228686933399<172>

1948591347071853854619420277176971501705613703<46>
2609638825714772255724252453582444923257089791348987142867787720217375144753382496649204268135776797049839485137380270725400433<127>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=641522213
Step 1 took 128582ms
Step 2 took 67114ms
********** Factor found in step 2: 1948591347071853854619420277176971501705613703
Found probable prime factor of 46 digits: 1948591347071853854619420277176971501705613703
Probable prime cofactor 2609638825714772255724252453582444923257089791348987142867787720217375144753382496649204268135776797049839485137380270725400433 has 127 digits

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

PowerPC-G5 @ 2.5 GHz Mac OS X

9516207493391252599830843872935331554719244865599809210960263802109018437133182710503315754949802385639210125772780777680284891113<130>

54199323118774369622038618504219850957<38>
175577976731131661812043593232506970976847183659624924342240801835328186189054850754452122509<93>

GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 9516207493391252599830843872935331554719244865599809210960263802109018437133182710503315754949802385639210125772780777680284891113 (130 digits)
Using B1=3964000, B2=8561602150, polynomial Dickson(6), sigma=1632219878
Step 1 took 39221ms
Step 2 took 15553ms
********** Factor found in step 2: 54199323118774369622038618504219850957
Found probable prime factor of 38 digits: 54199323118774369622038618504219850957
Probable prime cofactor 175577976731131661812043593232506970976847183659624924342240801835328186189054850754452122509 has 93 digits

38539405210516568705652170366915510999295028183839645760726264008344863240876420720652499093033301014488296907961572583201089697322489290474954007457994502452865850776297131158531933<182>

9524700893304893090929463483403918372898577439642772097695297291<64>
4046258842375481232920186054937068634428186581552693506526194945645023752715075258270655235237700394753793815959108663<118>

N=38539405210516568705652170366915510999295028183839645760726264008344863240876420720652499093033301014488296907961572583201089697322489290474954007457994502452865850776297131158531933
  ( 182 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=9524700893304893090929463483403918372898577439642772097695297291 (pp64)
 r2=4046258842375481232920186054937068634428186581552693506526194945645023752715075258270655235237700394753793815959108663 (pp118)
Version: Msieve v. 1.48
Total time:
Scaled time: 26.87 units (timescale=0.670).
Factorization parameters were as follows:
n: 38539405210516568705652170366915510999295028183839645760726264008344863240876420720652499093033301014488296907961572583201089697322489290474954007457994502452865850776297131158531933
m: 100000000000000000000000000000000000000
deg: 5
c5: 710
c0: -17
skew: 0.47
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5750000, 21430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2497222 x 2497393
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,192.000,5,0,0,0,0,0,0,0,0,11500000,11500000,28,28,55,55,2.5,2.5,100000
total time:

2189342851919073359352499418897830658566585976472372104388578244366387613690583613370661343637857281794189356351823716609517847575641839994428346936664748796809933<163>

3193281511545869914767231872331356150586751<43>

685609096474307047179853407252192038226988281925220750771248823618714494923271031092623913514091770610345856946640309683<120>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1863419441
Step 1 took 11828ms
Step 2 took 5921ms
********** Factor found in step 2: 3193281511545869914767231872331356150586751
Found probable prime factor of 43 digits: 3193281511545869914767231872331356150586751
Composite cofactor has 120 digits

685609096474307047179853407252192038226988281925220750771248823618714494923271031092623913514091770610345856946640309683<120>

842934609643264368490639470882382856018594761<45>
813359765551044886848353312026687587338583960132568915081606555409674261403<75>

Number: 78887_193
N = 685609096474307047179853407252192038226988281925220750771248823618714494923271031092623913514091770610345856946640309683 (120 digits)
Divisors found:
r1=842934609643264368490639470882382856018594761 (pp45)
r2=813359765551044886848353312026687587338583960132568915081606555409674261403 (pp75)
Version: Msieve v. 1.45
Total time: 72.41 hours.
Factorization parameters were as follows:
# Murphy_E = 3.15e-10, selected by Erik Branger
n: 685609096474307047179853407252192038226988281925220750771248823618714494923271031092623913514091770610345856946640309683
Y0: -248742955981591795664232
Y1: 4237188172699
c0: -667024622024474845010959010575
c1: 20540090352166169122570515
c2: 139850293495972542563
c3: -801653771113147
c4: -961595196
c5: 720
skew: 369576.71
type: gnfs
# selected mechanically
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2600000, 4500000)
Relations: 9500234
Relations in full relation-set: 1037420 relations
Pruned matrix : 632439 x 632665
Polynomial selection time: 0.00 hours.
Total sieving time: 69.50 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.31 hours.
time per square root: 1.42 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,5200000,5200000,27,27,51,51,2.5,2.5,100000
total time: 72.41 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

8424480555560177027007290435946168923494604061817246303916082705997762987018952974010155214145176623589777231050130471923983214746209207539436849738218780671216315347<166>

88831089173992683198407456351261<32>

94837073753077822765676304767608556492154576345158773506401019458832629287922090305510090324170906702400330328091212668325245463473327<134>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2709519015
Step 1 took 19890ms
Step 2 took 11310ms
********** Factor found in step 2: 88831089173992683198407456351261
Found probable prime factor of 32 digits: 88831089173992683198407456351261
Composite cofactor 94837073753077822765676304767608556492154576345158773506401019458832629287922090305510090324170906702400330328091212668325245463473327 has 134 digits

GMP-ECM 6.3

94837073753077822765676304767608556492154576345158773506401019458832629287922090305510090324170906702400330328091212668325245463473327<134>

6663532697916427670206137779286383340541270074221941757<55>
14232251577715188272981493876282463381538155039180706474814001511165796569802011<80>

Number: 7
N=94837073753077822765676304767608556492154576345158773506401019458832629287922090305510090324170906702400330328091212668325245463473327
  ( 134 digits)
Divisors found:
 r1=6663532697916427670206137779286383340541270074221941757 (pp55)
 r2=14232251577715188272981493876282463381538155039180706474814001511165796569802011 (pp80)
Version: Msieve-1.40
Total time: 220.07 hours.
Scaled time: 382.71 units (timescale=1.739).
Factorization parameters were as follows:
# Murphy_E = 4.951e-11, selected by Erik Branger
n: 94837073753077822765676304767608556492154576345158773506401019458832629287922090305510090324170906702400330328091212668325245463473327
Y0: -117691969264529722412100624
Y1: 490219712720611
c0: -522891944193595363094605716584843
c1: 4486722066971402172953740172
c2: 6277664072103860840193
c3: -57414800964499598
c4: -12290436604
c5: 4200
skew: 851444.43
type: gnfs
# selected mechanically
rlim: 12500000
alim: 12500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [6250000, 14850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1908826 x 1909050
Total sieving time: 212.74 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 5.75 hours.
Time per square root: 1.29 hours.
Prototype def-par.txt line would be:
gnfs,133,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,12500000,12500000,28,28,54,54,2.6,2.6,100000
total time: 220.07 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

264324402437918778089670367055837897711379881367315128873122710154801038764375711818546118322152603362226328313037106575451375681300933021768706577632156374557664187708416834892715237<183>

6964226606020764072212473968896189<34>

37954595304150946826898778743578176809621210224381622369472067144604104477541563190287099148908926489811108488884466070935938714202340270276008969033<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4017111373
Step 1 took 24711ms
Step 2 took 12417ms
********** Factor found in step 2: 6964226606020764072212473968896189
Found probable prime factor of 34 digits: 6964226606020764072212473968896189
Composite cofactor 37954595304150946826898778743578176809621210224381622369472067144604104477541563190287099148908926489811108488884466070935938714202340270276008969033 has 149 digits

GMP-ECM 6.3

37954595304150946826898778743578176809621210224381622369472067144604104477541563190287099148908926489811108488884466070935938714202340270276008969033<149>

12726486591146179941924456422950038843347<41>
2982330986036316474877467864219200606559890613139171882302057986555355210977157853277406237834881538762615539<109>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2365020857
Step 1 took 32172ms
Step 2 took 19281ms
********** Factor found in step 2: 12726486591146179941924456422950038843347
Found probable prime factor of 41 digits: 12726486591146179941924456422950038843347
Probable prime cofactor 2982330986036316474877467864219200606559890613139171882302057986555355210977157853277406237834881538762615539 has 109 digits

GMP-ECM 7.o

71915743289450943914569930249280369204020067104892132795198307668684529679812890089140113653037972635274526642485969884596773988691322754817<140>

6973742263334418855245885351691331363040474017<46>
10312360361747182650003736347385900347661999293615986106105862520373047682972450500236297922401<95>

71915743289450943914569930249280369204020067104892132795198307668684529679812890089140113653037972635274526642485969884596773988691322754817=6973742263334418855245885351691331363040474017*10312360361747182650003736347385900347661999293615986106105862520373047682972450500236297922401

Info:Square Root: Factors: 6973742263334418855245885351691331363040474017 10312360361747182650003736347385900347661999293615986106105862520373047682972450500236297922401
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66302/40.730/50.354/56.500/0.961
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66302/40.400/45.140/51.150/1.306
Info:Polynomial Selection (size optimized): Total time: 45233.5
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 8004.68
Info:Polynomial Selection (root optimized): Rootsieve time: 8002.45
Info:Generate Factor Base: Total cpu/real time for makefb: 21.53/5.66855
Info:Generate Free Relations: Total cpu/real time for freerel: 807.83/112.073
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33127030
Info:Lattice Sieving: Average J: 3810.57 for 877513 special-q, max bucket fill -bkmult 1.0,1s:1.131360
Info:Lattice Sieving: Total time: 1.26977e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 149.95/545.855
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 544.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 896.69/1272.55
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1183.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 526.21/873.176
Info:Filtering - Merging: Total cpu/real time for merge: 1605.54/1589.55
Info:Filtering - Merging: Total cpu/real time for replay: 158.68/174.98
Info:Linear Algebra: Total cpu/real time for bwc: 154003/38538.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 26073.69, iteration CPU time 0.35, COMM 0.01, cpu-wait 0.07, comm-wait 0.0 (61000 iterations)
Info:Linear Algebra: Lingen CPU time 740.19, WCT time 159.56
Info:Linear Algebra: Mksol: WCT time 11224.87, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.05, comm-wait 0.0 (31000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 121.45/39.0785
Info:Square Root: Total cpu/real time for sqrt: 8736.18/1252.32
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.41798e+06/263776
Info:root: Cleaning up computation data in /tmp/cado.15chay3n
6973742263334418855245885351691331363040474017 10312360361747182650003736347385900347661999293615986106105862520373047682972450500236297922401

cado-nfs-3.0.0

Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

12277951010068976596687864070072532474605000759400781061576819318000981924462950304827793800512492362165524467128197577411581455947856824500866502471760177029612428635293852911242230946868497<191>

7028572982139370167790480255649<31>

1746862562467380248119030911967387426321458529683450495371415590591659222234729701631478386438280766700113951265045633708921823699119520795223624506675796515953<160>

pp31=7028572982139370167790480255649
C160=1746862562467380248119030911967387426321458529683450495371415590591659222234729701631478386438280766700113951265045633708921823699119520795223624506675796515953

GMP-ECM 6.1.1
B1=250000, sigma=1992275066

Athlon64 3700+

1746862562467380248119030911967387426321458529683450495371415590591659222234729701631478386438280766700113951265045633708921823699119520795223624506675796515953<160>

3260262572759225307280450293437807983749101859559289448603527593383667<70>
535804256093697258548327907263498463992708450426976742684646639965399681802022801701838859<90>

1746862562467380248119030911967387426321458529683450495371415590591659222234729701631478386438280766700113951265045633708921823699119520795223624506675796515953=3260262572759225307280450293437807983749101859559289448603527593383667*535804256093697258548327907263498463992708450426976742684646639965399681802022801701838859

cado polynomial
n: 1746862562467380248119030911967387426321458529683450495371415590591659222234729701631478386438280766700113951265045633708921823699119520795223624506675796515953
skew: 0.79
type: snfs
c0: -17
c6: 71
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 71*x^6-17
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15000000
tasks.lim1 = 15000000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3260262572759225307280450293437807983749101859559289448603527593383667 535804256093697258548327907263498463992708450426976742684646639965399681802022801701838859
Info:Square Root: Total cpu/real time for sqrt: 996.44/300.543
Info:Filtering - Singleton removal: Total cpu/real time for purge: 489.75/515.873
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32440123
Info:Lattice Sieving: Average J: 1894.7 for 6799228 special-q, max bucket fill -bkmult 1.0,1s:1.165360
Info:Lattice Sieving: Total time: 1.76719e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 199530/51095.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 128485.8, WCT time 32786.97, iteration CPU time 0.3, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (103424 iterations)
Info:Linear Algebra: Lingen CPU time 724.03, WCT time 183.79
Info:Linear Algebra: Mksol: CPU time 69034.5,  WCT time 17650.57, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51712 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.74/3.86197
Info:Generate Free Relations: Total cpu/real time for freerel: 183.38/46.9302
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 140.28/172.487
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 171.29999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 619.71/545.046
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 427.49999999999994s
Info:Filtering - Merging: Merged matrix has 3299657 rows and total weight 561942850 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 931.82/257.015
Info:Filtering - Merging: Total cpu/real time for replay: 136.61/118.845
Info:Quadratic Characters: Total cpu/real time for characters: 118.78/70.4907
Info:Square Root: Total cpu/real time for sqrt: 996.44/300.543
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.63989e+06/125022
Info:root: Cleaning up computation data in /tmp/cado.iiorozla
3260262572759225307280450293437807983749101859559289448603527593383667 535804256093697258548327907263498463992708450426976742684646639965399681802022801701838859

cado-nfs-3.0.0

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

7487348432364114558307070559285305722478010449124595047563097193598641443044878378243199667328524731185767791355565089961434401906144989106081292259243573451567005540502206796303<178>

14576871699599476851936619666188887905998144939645324284468217977559066677257<77>
513645766160502158879473556547830881654253410035328073409190239553704980679561939201862184956004149079<102>

Number: n
N=7487348432364114558307070559285305722478010449124595047563097193598641443044878378243199667328524731185767791355565089961434401906144989106081292259243573451567005540502206796303  ( 178 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sat Oct  9 09:27:00 2021  p77 factor: 14576871699599476851936619666188887905998144939645324284468217977559066677257
Sat Oct  9 09:27:00 2021  p102 factor: 513645766160502158879473556547830881654253410035328073409190239553704980679561939201862184956004149079
Sat Oct  9 09:27:00 2021  elapsed time 01:52:25 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 71x10^201-17 = 78(200)7
#
n: 7487348432364114558307070559285305722478010449124595047563097193598641443044878378243199667328524731185767791355565089961434401906144989106081292259243573451567005540502206796303
m: 10000000000000000000000000000000000000000
deg: 5
c5: 710
c0: -17
skew: 0.47
# Murphy_E = 9.835e-12
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9551339 hash collisions in 63687072 relations (56539060 unique)
Msieve: matrix is 2141133 x 2141361 (741.8 MB)

Sieving start time : 2021/10/08 18:55:26
Sieving end time  : 2021/10/09 07:33:39

Total sieving time: 12hrs 38min 13secs.

Total relation processing time: 1hrs 28min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 16sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<203>

12888897718984543505646360213199750749907479992852470991851000504367438617<74>
6120685461929802534820752270415140153214356433614643852308616389884261354955877070685001996093422683179083867129135198718577487311<130>

Number: 78887_202
N=78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 203 digits)
SNFS difficulty: 203 digits.
Divisors found:
 r1=12888897718984543505646360213199750749907479992852470991851000504367438617
 r2=6120685461929802534820752270415140153214356433614643852308616389884261354955877070685001996093422683179083867129135198718577487311
Version: 
Total time: 355.16 hours.
Scaled time: 1864.61 units (timescale=5.250).
Factorization parameters were as follows:
n: 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 10000000000000000000000000000000000000000
deg: 5
c5: 7100
c0: -17
skew: 0.30
# Murphy_E = 8.451e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6

Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 22500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 40403816
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3764577 x 3764824
Total sieving time: 319.30 hours.
Total relation processing time: 7.01 hours.
Matrix solve time: 28.48 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 355.16 hours.
 --------- CPU info (if available) ----------

GGNFS / Msieve v1.39

Core i7 4930K

321565858919716711883299751558654954649829438843387235769070511558236394980523893278765726474471677739057917802073832257473309913519894645065062001957303018342709293460699198210351338910153240501<195>

16343096044256105467072483269426145151181166517703307223<56>
439221484729836443484447491364214504515398275032201999337<57>
44797319087255357345480042968601562793041424406145599282557486088258060609579301851<83>

Number: n
N=321565858919716711883299751558654954649829438843387235769070511558236394980523893278765726474471677739057917802073832257473309913519894645065062001957303018342709293460699198210351338910153240501
  ( 195 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Jun 21 09:14:37 2021  found factor: 44797319087255357345480042968601562793041424406145599282557486088258060609579301851
Mon Jun 21 09:17:13 2021  p56 factor: 16343096044256105467072483269426145151181166517703307223
Mon Jun 21 09:17:13 2021  p57 factor: 439221484729836443484447491364214504515398275032201999337
Mon Jun 21 09:17:13 2021  p83 factor: 44797319087255357345480042968601562793041424406145599282557486088258060609579301851
Mon Jun 21 09:17:13 2021  elapsed time 01:41:23 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 71x10^205-17 = 78(204)7
#
n: 321565858919716711883299751558654954649829438843387235769070511558236394980523893278765726474471677739057917802073832257473309913519894645065062001957303018342709293460699198210351338910153240501
m: 100000000000000000000000000000000000000000
deg: 5
c5: 71
c0: -17
skew: 0.75
# Murphy_E = 9.97e-12
type: snfs
lss: 1
rlim: 19600000
alim: 19600000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19600000/19600000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 29800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7208323 hash collisions in 56093203 relations (51188505 unique)
Msieve: matrix is 2070160 x 2070387 (727.3 MB)

Sieving start time : 2021/06/20 22:26:50
Sieving end time  : 2021/06/21 07:34:41

Total sieving time: 9hrs 7min 51secs.

Total relation processing time: 1hrs 21min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 13sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19600000,19600000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118509] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239976K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487260K reserved, 0K cma-reserved)
[    0.154060] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798688)
[    0.150212] smpboot: Total of 16 processors activated (102389.50 BogoMIPS)

4180295501238940068150707333247024694957447021291662091544504967620440957312757531626956907880513021808143784148561208055083013513942851125883787399105153700350160397973445119911465107865376787<193>

480099289755265947210303533786067719251<39>
8707147855540206383300788848637562838384300776543684760249694446357044827124108046015553654933987559936798297099438313914174072848397124856608806586889537<154>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=256537772
Step 1 took 25531ms
Step 2 took 10719ms
********** Factor found in step 2: 480099289755265947210303533786067719251
Found probable prime factor of 39 digits: 480099289755265947210303533786067719251

2517651136876043648397196444400020312834890817927373913380439578980788793505016077702430152831104554296513681879013395212517574224406805843627148930046669557284770552037457230647789970904073169126239847<202>

6367991507163014053749587843292938713<37>

395360316364127079313166643412599105374493169024645091471492971328909696419551553474230281439078380809999291598836077259261188362330656806238968702424329449516141119<165>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2613131682
Step 1 took 18239ms
Step 2 took 13540ms
********** Factor found in step 2: 6367991507163014053749587843292938713
Found probable prime factor of 37 digits: 6367991507163014053749587843292938713
Composite cofactor

395360316364127079313166643412599105374493169024645091471492971328909696419551553474230281439078380809999291598836077259261188362330656806238968702424329449516141119<165>

125886553794854172975930416754096314055326142787946417023845676061329063865293451<81>
3140607987477437044329803762119110597752053497377448790915293788190858248389817543069<85>

Number: 78887_208
N = 395360316364127079313166643412599105374493169024645091471492971328909696419551553474230281439078380809999291598836077259261188362330656806238968702424329449516141119 (165 digits)
SNFS difficulty: 210 digits.
Divisors found:
r1=125886553794854172975930416754096314055326142787946417023845676061329063865293451 (pp81)
r2=3140607987477437044329803762119110597752053497377448790915293788190858248389817543069 (pp85)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 168.10 hours.
Factorization parameters were as follows:
n: 395360316364127079313166643412599105374493169024645091471492971328909696419551553474230281439078380809999291598836077259261188362330656806238968702424329449516141119
m: 100000000000000000000000000000000000000000
deg: 5
c5: 71000
c0: -17
skew: 0.19
# Murphy_E = 4.984e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 43926584
Relations: 7496398 relations
Pruned matrix : 4567588 x 4567813
Total sieving time: 155.66 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 12.02 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,210,5,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 168.10 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

18155342368556989498464766973582516675237978901511698464807890650339094942779488739563508154087083467078185029954616967967926013554819<134>

1776079133378022344224064716839811<34>
10222147215944341284533289084159202613816782031058598031162105643133118912720670426404480571422787329<101>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 18155342368556989498464766973582516675237978901511698464807890650339094942779488739563508154087083467078185029954616967967926013554819 (134 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1628207397
Step 1 took 8830ms
Step 2 took 4243ms
********** Factor found in step 2: 1776079133378022344224064716839811
Found probable prime factor of 34 digits: 1776079133378022344224064716839811
Probable prime cofactor 10222147215944341284533289084159202613816782031058598031162105643133118912720670426404480571422787329 has 101 digits

2079749054495061478082437669634943663216308109149688687141458214875319033758162336604390267101858788948444437812256622972114087649279381152575429659<148>

33098764055761273880880606747519058111<38>
62834643945958878941951067728640157991047321467093064823893579890047268489615750728914909412369393539216220069<110>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3364742412
Step 1 took 9143ms
Step 2 took 7739ms
********** Factor found in step 2: 33098764055761273880880606747519058111
Found probable prime factor of 38 digits: 33098764055761273880880606747519058111
Probable prime cofactor 

7227083592907262935886061740490592222644388713464079322231955281907476815585566266106274805630623601253064141929930298744953461914098104557603109401113747167210788273106476743<175>

145757288987420731400424073364582542485692220376758350655797309<63>
49582999540633476004622588856349431093185361012216695697007431756824325933054829691088331876309560118242261196627<113>

11/24/24 10:54:38 v1.34.5 @ TRIGKEY,
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, ****************************
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, Starting factorization of 7099999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999983
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, using pretesting plan: normal
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, ****************************
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, div: found prime factor = 3
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, div: found prime factor = 3
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C213
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C213
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, prp5 = 53309
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C209
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C209
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C209
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, prp11 = 10260062359
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.23
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C199 input, B1=2K, B2=gmp-ecm default
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
11/24/24 10:54:38 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 61.23
11/24/24 10:54:41 v1.34.5 @ TRIGKEY, Finished 74 curves using Lenstra ECM method on C199 input, B1=11K, B2=gmp-ecm default
11/24/24 10:54:41 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
11/24/24 10:54:41 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 61.23
11/24/24 10:55:10 v1.34.5 @ TRIGKEY, Finished 214 curves using Lenstra ECM method on C199 input, B1=50K, B2=gmp-ecm default
11/24/24 10:55:10 v1.34.5 @ TRIGKEY, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C199
11/24/24 10:55:11 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 25.33
11/24/24 10:55:11 v1.34.5 @ TRIGKEY, scheduled 430 curves at B1=250000 toward target pretesting depth of 61.23
11/24/24 10:55:12 v1.34.5 @ TRIGKEY, prp24 = 199573201858785854583139 (curve 1 stg2 B1=250000 sigma=741056013 thread=0)
11/24/24 10:55:12 v1.34.5 @ TRIGKEY, Finished 1 curves using Lenstra ECM method on C199 input, B1=250K, B2=gmp-ecm default
11/24/24 10:55:12 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 25.34
11/24/24 10:55:12 v1.34.5 @ TRIGKEY, scheduled 429 curves at B1=250000 toward target pretesting depth of 53.85
11/24/24 10:55:52 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c214: 7099999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999983
11/24/24 10:55:52 v1.34.5 @ TRIGKEY, nfs: input divides 71*10^212 - 17
11/24/24 10:55:52 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 7227083592907262935886061740490592222644388713464079322231955281907476815585566266106274805630623601253064141929930298744953461914098104557603109401113747167210788273106476743
11/24/24 10:55:52 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c175: 7227083592907262935886061740490592222644388713464079322231955281907476815585566266106274805630623601253064141929930298744953461914098104557603109401113747167210788273106476743
11/24/24 10:55:52 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 7227083592907262935886061740490592222644388713464079322231955281907476815585566266106274805630623601253064141929930298744953461914098104557603109401113747167210788273106476743
# 71*10^212-17, difficulty: 215.85, anorm: 8.50e+026, rnorm: 1.83e+048
# scaled difficulty: 219.41, suggest sieving rational side
# size = 5.185e-015, alpha = -0.117, combined = 3.183e-012, rroots = 1
type: snfs
size: 215
skew: 0.2991
c5: 7100
c0: -17
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
n: 7227083592907262935886061740490592222644388713464079322231955281907476815585566266106274805630623601253064141929930298744953461914098104557603109401113747167210788273106476743
# 71*10^212-17, difficulty: 214.75, anorm: -7.07e+026, rnorm: 2.59e+048
# scaled difficulty: 218.35, suggest sieving rational side
# size = 4.445e-015, alpha = -0.348, combined = 2.893e-012, rroots = 1
type: snfs
size: 214
skew: 0.5982
c5: 1775
c0: -136
Y1: -1
Y0: 2000000000000000000000000000000000000000000
m: 2000000000000000000000000000000000000000000
n: 7227083592907262935886061740490592222644388713464079322231955281907476815585566266106274805630623601253064141929930298744953461914098104557603109401113747167210788273106476743
# 71*10^212-17, difficulty: 215.85, anorm: -1.71e+033, rnorm: 1.65e+041
# scaled difficulty: 217.18, suggest sieving rational side
# size = 7.645e-011, alpha = -0.233, combined = 2.774e-012, rroots = 2
type: snfs
size: 215
skew: 0.3658
c6: 7100
c0: -17
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
11/24/24 10:55:54 v1.34.5 @ TRIGKEY, test: fb generation took 1.8919 seconds
11/24/24 10:55:54 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 25000000-25002000
skew: 0.2991
c5: 7100
c0: -17
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
rlim: 25000000
alim: 25000000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/24/24 10:59:36 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/24/24 10:59:38 v1.34.5 @ TRIGKEY, test: fb generation took 1.8802 seconds
11/24/24 10:59:38 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 25000000-25002000
skew: 0.5982
c5: 1775
c0: -136
Y1: -1
Y0: 2000000000000000000000000000000000000000000
m: 2000000000000000000000000000000000000000000
rlim: 25000000
alim: 25000000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/24/24 11:03:20 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/24/24 11:03:23 v1.34.5 @ TRIGKEY, test: fb generation took 2.7494 seconds
11/24/24 11:03:23 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 25000000-25002000
skew: 0.3658
c6: 7100
c0: -17
Y1: -1
Y0: 100000000000000000000000000000000000
m: 100000000000000000000000000000000000
rlim: 25000000
alim: 25000000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
11/24/24 11:07:00 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/24/24 11:07:00 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 7227083592907262935886061740490592222644388713464079322231955281907476815585566266106274805630623601253064141929930298744953461914098104557603109401113747167210788273106476743
# 71*10^212-17, difficulty: 215.85, anorm: 8.50e+026, rnorm: 1.83e+048
# scaled difficulty: 219.41, suggest sieving rational side
# size = 5.185e-015, alpha = -0.117, combined = 3.183e-012, rroots = 1
type: snfs
size: 215
skew: 0.2991
c5: 7100
c0: -17
Y1: -1
Y0: 1000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000
11/24/24 11:07:00 v1.34.5 @ TRIGKEY, test: test sieving took 667.68 seconds
11/25/24 11:34:21 v1.34.5 @ TRIGKEY, nfs: previous data file found - commencing search for last special-q
11/25/24 11:34:23 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
11/25/24 11:34:23 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c175: 7227083592907262935886061740490592222644388713464079322231955281907476815585566266106274805630623601253064141929930298744953461914098104557603109401113747167210788273106476743
11/25/24 11:34:23 v1.34.5 @ TRIGKEY, nfs: resuming with filtering
11/27/24 08:36:45 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/27/24 08:40:36 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 47320885
11/27/24 12:52:29 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
11/27/24 12:59:24 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
11/27/24 20:24:54 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
11/27/24 20:31:29 v1.34.5 @ TRIGKEY, prp63 = 145757288987420731400424073364582542485692220376758350655797309
11/27/24 20:31:29 v1.34.5 @ TRIGKEY, prp113 = 49582999540633476004622588856349431093185361012216695697007431756824325933054829691088331876309560118242261196627
11/27/24 20:31:30 v1.34.5 @ TRIGKEY, NFS elapsed time = 205028.4611 seconds.
11/27/24 20:31:30 v1.34.5 @ TRIGKEY,
11/27/24 20:31:30 v1.34.5 @ TRIGKEY,

YAFU

80641605222886241528181793526599067301218975342382345761866805409378155967990737962775038685177024275683913831878562249457190967930767993253403371587067116704955302036605788729173776087<185>

637704408115004376239703099164195809961213369060428724927100468618258010385733538973347495445175744749980575726215389785124991051287894468303500974630663035266759372573870407<174>

214476454993662821075231769917329805467<39>
1854827871571423005663577704422271225116051<43>
1603009821016800914691101214864311154494915076641549450040451734795980335580087173407950547271<94>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2625625339
Step 1 took 24163ms
Step 2 took 9104ms
********** Factor found in step 2: 214476454993662821075231769917329805467
Found probable prime factor of 39 digits: 214476454993662821075231769917329805467

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=267471928
Step 1 took 17523ms
Step 2 took 6860ms
********** Factor found in step 2: 1854827871571423005663577704422271225116051
Found probable prime factor of 43 digits: 1854827871571423005663577704422271225116051

1043473404068723286633554156555072907546582762509804385032732732308132123823611727690332697196348646944919594961952681929021538197285575525944865473615381673839048305472572033579462643036257796601045180139<205>

1015311553197001352879843003941<31>

1027737151993441049011651925619132539856463325147894336931917435806997160722960336142580853836239517830033568458624967190280458532653398885133423250043677066986667436577276879<175>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 1043473404068723286633554156555072907546582762509804385032732732308132123823611727690332697196348646944919594961952681929021538197285575525944865473615381673839048305472572033579462643036257796601045180139 (205 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3618746763
Step 1 took 5117ms
Step 2 took 2808ms
********** Factor found in step 2: 1015311553197001352879843003941
Found probable prime factor of 31 digits: 1015311553197001352879843003941
Composite cofactor 1027737151993441049011651925619132539856463325147894336931917435806997160722960336142580853836239517830033568458624967190280458532653398885133423250043677066986667436577276879 has 175 digits

5710985662547414172413148525180005099840063509876838110283628895842131785485224171942869982916974729070552549134251482046736392108036863961561341976826899288176700009999432028433824057454737748373187<199>

25706217594623439723354500875627348516103<41>
222163592972226692786746726115596942813496037041546876297736934402968180906989114786438573452583293625362676398906132510419939055974742453623821531515313155429<159>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3273603468
Step 1 took 98510ms
Step 2 took 32572ms
********** Factor found in step 2: 25706217594623439723354500875627348516103
Found probable prime factor of 41 digits: 25706217594623439723354500875627348516103

215727887165207548536738047750697497444172623849388902977775926494121772687164899763800647797915433687947009066769010845048613316427457227646462241854558356033246526302445201863973347505559044533<195>

351029972802006753417422966590013179360172343620868181<54>
476041364348445013559580405828130859117038324645611824146643<60>
1290973710603555408811384509999773037074221548368281777999746603521409976265773051<82>

Sun Apr 19 11:23:37 2020  Msieve v. 1.52 (SVN unknown)
Sun Apr 19 11:23:37 2020  random seeds: d87300b8 8ba135b0
Sun Apr 19 11:23:37 2020  factoring 215727887165207548536738047750697497444172623849388902977775926494121772687164899763800647797915433687947009066769010845048613316427457227646462241854558356033246526302445201863973347505559044533 (195 digits)
Sun Apr 19 11:23:38 2020  no P-1/P+1/ECM available, skipping
Sun Apr 19 11:23:38 2020  commencing number field sieve (195-digit input)
Sun Apr 19 11:23:38 2020  R0: -10000000000000000000000000000000000000000000000000000000
Sun Apr 19 11:23:38 2020  R1: 1
Sun Apr 19 11:23:38 2020  A0: -170
Sun Apr 19 11:23:38 2020  A1: 0
Sun Apr 19 11:23:38 2020  A2: 0
Sun Apr 19 11:23:38 2020  A3: 0
Sun Apr 19 11:23:38 2020  A4: 71
Sun Apr 19 11:23:38 2020  skew 1.00, size 5.790e-023, alpha 0.770, combined = 1.310e-013 rroots = 2
Sun Apr 19 11:23:38 2020  
Sun Apr 19 11:23:38 2020  commencing square root phase
Sun Apr 19 11:23:38 2020  reading relations for dependency 1
Sun Apr 19 11:23:40 2020  read 3723665 cycles
Sun Apr 19 11:23:45 2020  cycles contain 8599994 unique relations
Sun Apr 19 11:25:46 2020  read 8599994 relations
Sun Apr 19 11:26:46 2020  multiplying 8599994 relations
Sun Apr 19 11:31:24 2020  multiply complete, coefficients have about 283.98 million bits
Sun Apr 19 11:31:26 2020  initial square root is modulo 124601
Sun Apr 19 11:37:48 2020  found factor: 351029972802006753417422966590013179360172343620868181
Sun Apr 19 11:37:48 2020  reading relations for dependency 2
Sun Apr 19 11:37:50 2020  read 3724575 cycles
Sun Apr 19 11:37:55 2020  cycles contain 8601056 unique relations
Sun Apr 19 11:39:34 2020  read 8601056 relations
Sun Apr 19 11:40:36 2020  multiplying 8601056 relations
Sun Apr 19 11:45:12 2020  multiply complete, coefficients have about 284.01 million bits
Sun Apr 19 11:45:14 2020  initial square root is modulo 124897
Sun Apr 19 11:51:38 2020  sqrtTime: 1680
Sun Apr 19 11:51:38 2020  prp54 factor: 351029972802006753417422966590013179360172343620868181
Sun Apr 19 11:51:38 2020  prp60 factor: 476041364348445013559580405828130859117038324645611824146643
Sun Apr 19 11:51:38 2020  prp82 factor: 1290973710603555408811384509999773037074221548368281777999746603521409976265773051
Sun Apr 19 11:51:38 2020  elapsed time 00:28:01

GGNFS, NFS_factory, Msieve

47646692584673740805737521368320112898778027761421595090023152372305303164731810203471124867753241747622834525510631509492968617657491247458671780015839427137790771337949646753573521553944176900197<197>

1485473101594860749021539778633<31>

32075096165335090154478920673509221243063205241839077820273656961312670200750229844946083893473453611025953635193635948160407684273290253158707701320518304377296072509<167>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 47646692584673740805737521368320112898778027761421595090023152372305303164731810203471124867753241747622834525510631509492968617657491247458671780015839427137790771337949646753573521553944176900197 (197 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3303128684
Step 1 took 5101ms
Step 2 took 2715ms
********** Factor found in step 2: 1485473101594860749021539778633
Found probable prime factor of 31 digits: 1485473101594860749021539778633
Composite cofactor 32075096165335090154478920673509221243063205241839077820273656961312670200750229844946083893473453611025953635193635948160407684273290253158707701320518304377296072509 has 167 digits

32075096165335090154478920673509221243063205241839077820273656961312670200750229844946083893473453611025953635193635948160407684273290253158707701320518304377296072509<167>

41110157063049037793498849271201621584419757112229239426872024745034335804361<77>
780223148166103364635450486025313608128028479227976585163390679740804943979712032047155669<90>

Number: 78887_220
N = 32075096165335090154478920673509221243063205241839077820273656961312670200750229844946083893473453611025953635193635948160407684273290253158707701320518304377296072509 (167 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=41110157063049037793498849271201621584419757112229239426872024745034335804361 (pp77)
r2=780223148166103364635450486025313608128028479227976585163390679740804943979712032047155669 (pp90)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 96.65 hours.
Factorization parameters were as follows:
n: 32075096165335090154478920673509221243063205241839077820273656961312670200750229844946083893473453611025953635193635948160407684273290253158707701320518304377296072509
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 71
c0: -17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 32094518
Relations: 9729360 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 40.74 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 8406361 x 8406586
Matrix solve time: 55.14 hours.
time per square root: 0.41 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 96.65 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

10802726855909214092221578722882481142550375343361730143428650233161320959634180372288286047309731120030274552718509668200703295574466418391208578463417677305668528975235274950793741930715282659074772707879<206>

3687401229841550358561870140144081373257415822263060731312813<61>
2929631516224615772423879625656835796519201595807083796027188124830997125242744525155716945627930116129096076087701734334541679595676669398238883<145>

Number: 78887_222
N = 10802726855909214092221578722882481142550375343361730143428650233161320959634180372288286047309731120030274552718509668200703295574466418391208578463417677305668528975235274950793741930715282659074772707879 (206 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=3687401229841550358561870140144081373257415822263060731312813 (pp61)
r2=2929631516224615772423879625656835796519201595807083796027188124830997125242744525155716945627930116129096076087701734334541679595676669398238883 (pp145)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 86.08 hours.
Factorization parameters were as follows:
n: 10802726855909214092221578722882481142550375343361730143428650233161320959634180372288286047309731120030274552718509668200703295574466418391208578463417677305668528975235274950793741930715282659074772707879
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7100
c0: -17
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
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33096822
Relations: 11050540 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 36.17 hours.
Total relation processing time: 0.40 hours.
Pruned matrix : 9357235 x 9357460
Matrix solve time: 49.21 hours.
time per square root: 0.30 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 86.08 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

8275827501104651011800346167986979032197665514079607917146104460150179929970661674222733720217275660360321709349475855615870675431733373311878399137073625560683186175038324947800200187139612496706642062231<205>

3747284415001240322891286738061798136622991019<46>

2208486622465754784531721049065473356188868123529678350360857349322701791693513768386772250054625727913248696266991311882057245022353528997850719753210815831749<160>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4170223009
Step 1 took 374377ms
Step 2 took 99151ms
********** Factor found in step 2: 3747284415001240322891286738061798136622991019
Found probable prime factor of 46 digits: 3747284415001240322891286738061798136622991019

4782320391432034931259004153674946050761538349368955412662920664326997916675073615453365411171705602665688556863295885050196423672905973503516151560680858576931077517115518857268233610377935929382548936098702959876633<217>

14189410581460230838380979323133270744818862760216956655537548898475891039930690801391972086304292915529481942886777153665923883439103472820975506272539031375192577511<167>

1057578594239089192107246022621024430915194966303114364793101216210304736154347819210452036953077515179424869349189692607643945105897420098308746182571744712853616388479784106896429299699816353531227<199>

1504159338428122482845751672064503441259105749903431473254399293230477035856392864828294561737713502427120347967104780707447443067628234925848595516557961848185683734704331918338803539<184>

17831160537088124918148144682147367<35>

84355661276198438115181109859062767905293921800931100071101544288307708571797434799751460092062902352534747185644517099058937347863011848543400604917<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1833665003
Step 1 took 25987ms
Step 2 took 10989ms
********** Factor found in step 2: 17831160537088124918148144682147367
Found probable prime factor of 35 digits: 17831160537088124918148144682147367

84355661276198438115181109859062767905293921800931100071101544288307708571797434799751460092062902352534747185644517099058937347863011848543400604917<149>

1193690603048114121529571600663884087683994559063<49>
70667944491474154668932500956424599004357203693885665968953523405651450529059006020398262451680365459<101>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3558946374
Step 1 took 83984ms
Step 2 took 31907ms
********** Factor found in step 2: 1193690603048114121529571600663884087683994559063
Found prime factor of 49 digits: 1193690603048114121529571600663884087683994559063
Prime cofactor 70667944491474154668932500956424599004357203693885665968953523405651450529059006020398262451680365459 has 101 digits
 

GMP-ECM

105866104330792276031594133248462670052409520361423539226101616258051476750560199632603534845650585322455028449022560877895309827445235259379369491866138647548350681456295376686076579684042097526028910468120638461<213>

60382490607526973583569498396518723875116786646803072464891755332464704841758017912190290455878984841369494855723492954302676536475612971003656999207950964294470020213753115265574444533836044272010080970768246929769558057311<224>

425123445378568279155554107820449175019738561539781414352309944123519694637530017379755276933942953231593618592496462253826785371040705550548395734517599370509526411886684426900611353932175003538112164148801607040319633<219>

718678233416753220455869895996177237<36>
591535162206650685207335417478628565230194850198494786209948166006989498221077533889016790452634538034851625447859438424320069808610271398499448918420791522133380547944381734840338509<183>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3926563882
Step 1 took 30715ms
Step 2 took 11102ms
********** Factor found in step 2: 718678233416753220455869895996177237
Found probable prime factor of 36 digits: 718678233416753220455869895996177237

1144150378539099293829336217940286567665923569022173074568496389236289876240542251464378562438803532723964737117260612600169031112985107528124780150138484818599223888112919181799049401963<187>

142273536442142737178836143402312213728028402051487609219344369966356835787090441512381575795697447062204029128189128847329107530463697295633214027385397659251731352452489386954582497012695646128287608897680829387933<216>

123155045420163472930319156248632142858722576450641154525815851336894394782842194771470791291687044842422844342390983913670675360271638194920571573433183520988381471801941467025784409886321966507753297212619729303669476047543<225>

114985610734437566596625218105550005719417734143414096648441798653400196312758908177911015804524810458196874828638801014507801330321774928123155372587082961889115127583621536293470333598833086159888386313835008241219823473<222>

18585426468397219316023444262215665132282411233025427025832896338383258969134896289842751180862243074391490085245835848530718490964866023362030794264071683935458128543881962265308978530258710188899765316771709329234256207<221>

78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<239>

621150835917707755420770419979840233771<39>

127004399458524380045699479684242113293246634120014176724786282441970969412171562538529129488271139463354344378666475381558880700254179469618009657725759877081289445849217691807147520096424937547516197<201>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1671437683
Step 1 took 87831ms
Step 2 took 42122ms
********** Factor found in step 2: 621150835917707755420770419979840233771
Found probable prime factor of 39 digits: 621150835917707755420770419979840233771
Composite cofactor 

542842751304668710653998734499246035923400780874165838725866795176788651495378803618496058961688643132090511690405123636501608448732933463702628221132960604449078624788467071060821027306195385547879872520769340514483618307902679<228>

61247598286405749356477085369142070953<38>
8863086333054723677887089680864452712946002363149628758087047872284073473778930338609402328462040206890498537331374093683237336824638392118473180196748881408337497430337772382007211847298943<190>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2234089239
Step 1 took 158932ms
Step 2 took 46297ms
********** Factor found in step 2: 61247598286405749356477085369142070953
Found probable prime factor of 38 digits: 61247598286405749356477085369142070953

6057364368505483068118213923402725070593246759682674732657777224172169729237624732814723091168284964126930823040777508815131775663698544330018857913673825545807087990231674676189672478166806048422685937823001<208>

1099045207679992177630987388596831<34>
11830820556069449160762929131492066309<38>

465857695961348385041273500488816333660437468772914370005433742023732076815567459220298935842960806637345635624528547250119863364585089819<138>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3385613504
Step 1 took 6061ms
Step 2 took 3171ms
********** Factor found in step 2: 1099045207679992177630987388596831
Found probable prime factor of 34 digits: 1099045207679992177630987388596831
Composite cofactor 

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3307642037
Step 1 took 6077ms
Step 2 took 3169ms
********** Factor found in step 2: 11830820556069449160762929131492066309
Found probable prime factor of 38 digits: 11830820556069449160762929131492066309

465857695961348385041273500488816333660437468772914370005433742023732076815567459220298935842960806637345635624528547250119863364585089819<138>

13424957573253244362818183364467865503491<41>
34700869140136729543960281084729902923599607617154627405371828994362952399516913430933156426982409<98>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=619417785
Step 1 took 16560ms
Step 2 took 6974ms
********** Factor found in step 2: 13424957573253244362818183364467865503491
Found probable prime factor of 41 digits: 13424957573253244362818183364467865503491

279215821671654133519120091640761843408727464547074849252130470416178284106287485051238942459493084902992247744094771523544203224694677002812594104609701525698223121774891154129049392515142941137822962292198146645441368304699179<228>

23040107801282323098667699618242899159699426888139879072714887148043259278195913926844466014201878281401394137640355182023466212942901822502513232342132983748054320483150416393293439464563892799933383643523240525702215293017709299<230>

24561647732932075223574789867290005925906393<44>

938052204469585211802999670312018854190986297093875740938582357483019118537315078936356449290166969745572193693069724986318649715459505971326357439457599686730278106452335314696385340843<186>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=9899891
Step 1 took 140663ms
Step 2 took 49291ms
********** Factor found in step 2: 24561647732932075223574789867290005925906393
Found probable prime factor of 44 digits: 24561647732932075223574789867290005925906393

938052204469585211802999670312018854190986297093875740938582357483019118537315078936356449290166969745572193693069724986318649715459505971326357439457599686730278106452335314696385340843<186>

3753548929661333310722454056598525165456241591331<49>

249910743684969535213086372365662158675977276141194412252427442914711391878295452775918504246542520944257779678003429215718808093006171353<138>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1431202351
Step 1 took 388854ms
Step 2 took 77030ms
********** Factor found in step 2: 3753548929661333310722454056598525165456241591331
Found probable prime factor of 49 digits: 3753548929661333310722454056598525165456241591331

249910743684969535213086372365662158675977276141194412252427442914711391878295452775918504246542520944257779678003429215718808093006171353<138>

67561403024215745759389918924099814175848976392387375522491149673<65>
3699016487200466994435391897255703239253558194243421238565676189959538161<73>

Number: 78887_242
N = 249910743684969535213086372365662158675977276141194412252427442914711391878295452775918504246542520944257779678003429215718808093006171353 (138 digits)
Divisors found:
r1=67561403024215745759389918924099814175848976392387375522491149673 (pp65)
r2=3699016487200466994435391897255703239253558194243421238565676189959538161 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 145.95 hours.
Factorization parameters were as follows:
# Murphy_E = 2.898e-11, selected by Erik Branger
# expecting poly E from 2.96e-011 to > 3.40e-011
n: 249910743684969535213086372365662158675977276141194412252427442914711391878295452775918504246542520944257779678003429215718808093006171353
Y0: -588913009682134464851596190
Y1: 325804286520337
c0: -1585846119831911401603890150220821
c1: 34282642528168000477578063755
c2: -31297783734738550466443
c3: -27988697968859242
c4: 8931932973
c5: 3528
skew: 1663075.67
type: gnfs
# selected mechanically
rlim: 15500000
alim: 15500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15500000/15500000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23052426
Relations: 3700084 relations
Pruned matrix : 2275676 x 2275904
Polynomial selection time: 0.00 hours.
Total sieving time: 141.82 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.90 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,15500000,15500000,28,28,55,55,2.6,2.6,100000
total time: 145.95 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

852021020841029154686886208188944325063774577606491960127433409079285413362741618112166772373523216738807967567879703291115173642797716283542746324748392557215310686294465392515954416480243912121952115162259489346260053900917143569<231>

47978898785052422864309944302818861199169<41>

17758244612034986634994038214580339763155130351000213158722451109461958367933343074724626546866095040378607701670276875398754290143042808125272216051565179758730013793099623908589752239547601<191>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=668721934
Step 1 took 86681ms
Step 2 took 27503ms
********** Factor found in step 2: 47978898785052422864309944302818861199169
Found probable prime factor of 41 digits: 47978898785052422864309944302818861199169

7079694663712320874990241625370211477033013302352157793034783412988270093290161118044322495871384106982473411744738593719588881108345999506341398288790747011145788207235997945330688073223083<190>

367458540256875844593066015785048362623510252696250475755353834988308467096448031112862562527925785628755589024041832765587351283143230233864205659<147>

44191687482781898689805316643333580232164944503970652923203899026150033<71>
8315105423390907445613157826374245666319462024862791791997708175226323265323<76>

#
# N = 71x10^246-17 = 78(245)7
#
# C147 factored by CADO
#
# n: 367458540256875844593066015785048362623510252696250475755353834988308467096448031112862562527925785628755589024041832765587351283143230233864205659

STA:Thu 29 Jul 2021 12:02:50 AEST (367,458,540,256,875,844,593,066,015,785,048,362,623,510,252,696,250,475,755,353,834,988,308,467,096,448,031,112,862,562,527,925,785,628,755,589,024,041,832,765,587,351,283,143,230,233,864,205,659 - C147)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 367458540256875844593066015785048362623510252696250475755353834988308467096448031112862562527925785628755589024041832765587351283143230233864205659 2>&1 | tee -a log38

Debug:root: Looking for parameter file for c147 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c145
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c145
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.13xoqs70
Info:Database: Opened connection to database /tmp/cado.13xoqs70/c145.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 367458540256875844593066015785048362623510252696250475755353834988308467096448031112862562527925785628755589024041832765587351283143230233864205659
Debug:root: Root parameter dictionary:
N = 367458540256875844593066015785048362623510252696250475755353834988308467096448031112862562527925785628755589024041832765587351283143230233864205659
...
n: 367458540256875844593066015785048362623510252696250475755353834988308467096448031112862562527925785628755589024041832765587351283143230233864205659
skew: 2745156.106
c0: -267667856733809385973734683969849949
c1: -707651232180695927194088453704
c2: -422148809653662906665955
c3: -562234751440041578
c4: 96676627326
c5: 9540
Y0: -40974786898177341809406336074
Y1: 1841599091441437783
# MurphyE (Bf=2.00e+07,Bg=1.00e+07,area=6.71e+14) = 2.15e-10
# f(x) = 9540*x^5+96676627326*x^4-562234751440041578*x^3-422148809653662906665955*x^2-707651232180695927194088453704*x-267667856733809385973734683969849949
# g(x) = 1841599091441437783*x-40974786898177341809406336074
...
Info:Square Root: Factors: 8315105423390907445613157826374245666319462024862791791997708175226323265323 44191687482781898689805316643333580232164944503970652923203899026150033
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78467/43.540/52.851/57.590/0.913
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78467/43.090/47.636/53.630/1.522
Info:Polynomial Selection (size optimized): Total time: 50949.6
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2497.33
Info:Polynomial Selection (root optimized): Rootsieve time: 2496.4
Info:Generate Factor Base: Total cpu/real time for makefb: 25.89/2.35338
Info:Generate Free Relations: Total cpu/real time for freerel: 621.08/42.3613
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 52599142
Info:Lattice Sieving: Average J: 3941.86 for 1637915 special-q, max bucket fill: 0.732564
Info:Lattice Sieving: Total CPU time: 3.3456e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 147.37/200.904
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 200.20000000000005s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1375.66/748.188
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1132.66/605.058
Info:Filtering - Merging: Total cpu/real time for merge: 2045.44/1702.32
Info:Filtering - Merging: Total cpu/real time for replay: 165.5/133.392
Info:Linear Algebra: Total cpu/real time for bwc: 588955/0.000290394
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 25617.34
Info:Linear Algebra: Lingen CPU time 1120.62, WCT time 106.54
Info:Linear Algebra: Mksol: WCT time 14144.63
Info:Quadratic Characters: Total cpu/real time for characters: 173.2/43.5888
Info:Square Root: Total cpu/real time for sqrt: 5612.92/780.239
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 3.9993e+06/261816
Info:root: Cleaning up computation data in /tmp/cado.13xoqs70
8315105423390907445613157826374245666319462024862791791997708175226323265323 44191687482781898689805316643333580232164944503970652923203899026150033

END:Sun 01 Aug 2021 12:46:27 AEST (367,458,540,256,875,844,593,066,015,785,048,362,623,510,252,696,250,475,755,353,834,988,308,467,096,448,031,112,862,562,527,925,785,628,755,589,024,041,832,765,587,351,283,143,230,233,864,205,659 - C147)

43971506964578824223852952802424126171183342928884389958393199716306298984885532749386277204438633428334690492434677388745229352940949282185933725449288476672161888701086663509063155260405824234539096860607268237762117281<221>

2726033829843074442826076255310824995500347927<46>
20470455089035523787223963137039831911674146182141<50>
787975312033094664540376929607057061577368633591169075650750051583656208453670202523799545988003525253468132223905880533100883<126>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1229182824
Step 1 took 127432ms
Step 2 took 47748ms
********** Factor found in step 2: 20470455089035523787223963137039831911674146182141
Found probable prime factor of 50 digits: 20470455089035523787223963137039831911674146182141

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3803546028
Step 1 took 98976ms
Step 2 took 9530ms
********** Factor found in step 2: 2726033829843074442826076255310824995500347927
Found probable prime factor of 46 digits: 2726033829843074442826076255310824995500347927

328208246005670976225842775214286470419399751495508608832952958466818169442083425266312100062650793776265616067448551161679218783015842704487720781873400649306854231669812149779266086607129690841237951579298787242795100932587551745381405024369<243>

78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<251>

165198203590823290848587352651645100949599863892450229967274970509100778719<75>
477540839876730610431159460591741145848305810321830984748839227141375542486762239452479475815068280835059257197848334544747727389608334462603756680820125708522232586279682869673<177>

Sat Feb  7 10:38:59 2015  
Sat Feb  7 10:38:59 2015  
Sat Feb  7 10:38:59 2015  Msieve v. 1.52 (SVN 959)
Sat Feb  7 10:38:59 2015  random seeds: 91bbf462 4608446a
Sat Feb  7 10:38:59 2015  factoring 78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (251 digits)
Sat Feb  7 10:39:01 2015  no P-1/P+1/ECM available, skipping
Sat Feb  7 10:39:01 2015  commencing number field sieve (251-digit input)
Sat Feb  7 10:39:01 2015  R0: -500000000000000000000000000000000000000000
Sat Feb  7 10:39:01 2015  R1: 1
Sat Feb  7 10:39:01 2015  A0: -425
Sat Feb  7 10:39:01 2015  A1: 0
Sat Feb  7 10:39:01 2015  A2: 0
Sat Feb  7 10:39:01 2015  A3: 0
Sat Feb  7 10:39:01 2015  A4: 0
Sat Feb  7 10:39:01 2015  A5: 0
Sat Feb  7 10:39:01 2015  A6: 1136
Sat Feb  7 10:39:01 2015  skew 1.00, size 7.256e-13, alpha 0.371, combined = 9.594e-14 rroots = 2
Sat Feb  7 10:39:01 2015  
Sat Feb  7 10:39:01 2015  commencing relation filtering
Sat Feb  7 10:39:01 2015  setting target matrix density to 96.0
Sat Feb  7 10:39:01 2015  estimated available RAM is 16009.0 MB
Sat Feb  7 10:39:01 2015  commencing duplicate removal, pass 1
Sat Feb  7 11:42:51 2015  skipped 631 relations with b > 2^32
Sat Feb  7 11:42:51 2015  found 50149785 hash collisions in 233321460 relations
Sat Feb  7 11:43:08 2015  added 1218987 free relations
Sat Feb  7 11:43:08 2015  commencing duplicate removal, pass 2
Sat Feb  7 11:57:07 2015  found 51425290 duplicates and 183115157 unique relations
Sat Feb  7 11:57:07 2015  memory use: 1321.5 MB
Sat Feb  7 11:57:07 2015  reading ideals above 175964160
Sat Feb  7 11:57:07 2015  commencing singleton removal, initial pass
Sat Feb  7 12:34:24 2015  memory use: 3012.0 MB
Sat Feb  7 12:34:25 2015  reading all ideals from disk
Sat Feb  7 12:34:56 2015  memory use: 3046.2 MB
Sat Feb  7 12:35:02 2015  commencing in-memory singleton removal
Sat Feb  7 12:35:08 2015  begin with 183115157 relations and 154824805 unique ideals
Sat Feb  7 12:36:11 2015  reduce to 112287259 relations and 76219967 ideals in 14 passes
Sat Feb  7 12:36:11 2015  max relations containing the same ideal: 34
Sat Feb  7 12:36:16 2015  reading ideals above 720000
Sat Feb  7 12:36:16 2015  commencing singleton removal, initial pass
Sat Feb  7 13:08:07 2015  memory use: 2756.0 MB
Sat Feb  7 13:08:07 2015  reading all ideals from disk
Sat Feb  7 13:09:00 2015  memory use: 4576.2 MB
Sat Feb  7 13:09:14 2015  keeping 95232809 ideals with weight <= 200, target excess is 616713
Sat Feb  7 13:09:28 2015  commencing in-memory singleton removal
Sat Feb  7 13:09:38 2015  begin with 112287259 relations and 95232809 unique ideals
Sat Feb  7 13:11:10 2015  reduce to 112252654 relations and 95198196 ideals in 9 passes
Sat Feb  7 13:11:10 2015  max relations containing the same ideal: 200
Sat Feb  7 13:12:02 2015  removing 11595231 relations and 9595231 ideals in 2000000 cliques
Sat Feb  7 13:12:06 2015  commencing in-memory singleton removal
Sat Feb  7 13:12:15 2015  begin with 100657423 relations and 95198196 unique ideals
Sat Feb  7 13:13:37 2015  reduce to 99785071 relations and 84711330 ideals in 9 passes
Sat Feb  7 13:13:37 2015  max relations containing the same ideal: 192
Sat Feb  7 13:14:25 2015  removing 8812777 relations and 6812777 ideals in 2000000 cliques
Sat Feb  7 13:14:28 2015  commencing in-memory singleton removal
Sat Feb  7 13:14:36 2015  begin with 90972294 relations and 84711330 unique ideals
Sat Feb  7 13:15:42 2015  reduce to 90386096 relations and 77300928 ideals in 8 passes
Sat Feb  7 13:15:42 2015  max relations containing the same ideal: 183
Sat Feb  7 13:16:25 2015  removing 7973947 relations and 5973947 ideals in 2000000 cliques
Sat Feb  7 13:16:28 2015  commencing in-memory singleton removal
Sat Feb  7 13:16:36 2015  begin with 82412149 relations and 77300928 unique ideals
Sat Feb  7 13:17:35 2015  reduce to 81884157 relations and 70788322 ideals in 8 passes
Sat Feb  7 13:17:35 2015  max relations containing the same ideal: 174
Sat Feb  7 13:18:14 2015  removing 7558008 relations and 5558008 ideals in 2000000 cliques
Sat Feb  7 13:18:16 2015  commencing in-memory singleton removal
Sat Feb  7 13:18:23 2015  begin with 74326149 relations and 70788322 unique ideals
Sat Feb  7 13:19:15 2015  reduce to 73816143 relations and 64709185 ideals in 8 passes
Sat Feb  7 13:19:15 2015  max relations containing the same ideal: 167
Sat Feb  7 13:19:50 2015  removing 7300811 relations and 5300811 ideals in 2000000 cliques
Sat Feb  7 13:19:53 2015  commencing in-memory singleton removal
Sat Feb  7 13:19:59 2015  begin with 66515332 relations and 64709185 unique ideals
Sat Feb  7 13:20:40 2015  reduce to 65999376 relations and 58880240 ideals in 7 passes
Sat Feb  7 13:20:40 2015  max relations containing the same ideal: 156
Sat Feb  7 13:21:11 2015  removing 7136185 relations and 5136185 ideals in 2000000 cliques
Sat Feb  7 13:21:14 2015  commencing in-memory singleton removal
Sat Feb  7 13:21:19 2015  begin with 58863191 relations and 58880240 unique ideals
Sat Feb  7 13:21:59 2015  reduce to 58324536 relations and 53191671 ideals in 8 passes
Sat Feb  7 13:21:59 2015  max relations containing the same ideal: 138
Sat Feb  7 13:22:27 2015  removing 7022475 relations and 5022475 ideals in 2000000 cliques
Sat Feb  7 13:22:30 2015  commencing in-memory singleton removal
Sat Feb  7 13:22:34 2015  begin with 51302061 relations and 53191671 unique ideals
Sat Feb  7 13:23:09 2015  reduce to 50720417 relations and 47570762 ideals in 8 passes
Sat Feb  7 13:23:09 2015  max relations containing the same ideal: 124
Sat Feb  7 13:23:33 2015  removing 6960197 relations and 4960197 ideals in 2000000 cliques
Sat Feb  7 13:23:36 2015  commencing in-memory singleton removal
Sat Feb  7 13:23:39 2015  begin with 43760220 relations and 47570762 unique ideals
Sat Feb  7 13:24:09 2015  reduce to 43100126 relations and 41928810 ideals in 8 passes
Sat Feb  7 13:24:09 2015  max relations containing the same ideal: 112
Sat Feb  7 13:24:30 2015  removing 2127167 relations and 1671239 ideals in 455928 cliques
Sat Feb  7 13:24:31 2015  commencing in-memory singleton removal
Sat Feb  7 13:24:35 2015  begin with 40972959 relations and 41928810 unique ideals
Sat Feb  7 13:24:56 2015  reduce to 40905274 relations and 40189251 ideals in 6 passes
Sat Feb  7 13:24:56 2015  max relations containing the same ideal: 108
Sat Feb  7 13:25:22 2015  relations with 0 large ideals: 23365
Sat Feb  7 13:25:22 2015  relations with 1 large ideals: 5796
Sat Feb  7 13:25:22 2015  relations with 2 large ideals: 68807
Sat Feb  7 13:25:22 2015  relations with 3 large ideals: 535568
Sat Feb  7 13:25:22 2015  relations with 4 large ideals: 2300931
Sat Feb  7 13:25:22 2015  relations with 5 large ideals: 5985282
Sat Feb  7 13:25:22 2015  relations with 6 large ideals: 9829645
Sat Feb  7 13:25:22 2015  relations with 7+ large ideals: 22155880
Sat Feb  7 13:25:22 2015  commencing 2-way merge
Sat Feb  7 13:25:48 2015  reduce to 26859100 relation sets and 26143077 unique ideals
Sat Feb  7 13:25:48 2015  commencing full merge
Sat Feb  7 13:34:51 2015  memory use: 3424.6 MB
Sat Feb  7 13:34:53 2015  found 13209502 cycles, need 13117277
Sat Feb  7 13:34:57 2015  weight of 13117277 cycles is about 1259754433 (96.04/cycle)
Sat Feb  7 13:34:57 2015  distribution of cycle lengths:
Sat Feb  7 13:34:57 2015  1 relations: 903983
Sat Feb  7 13:34:57 2015  2 relations: 1095460
Sat Feb  7 13:34:57 2015  3 relations: 1233130
Sat Feb  7 13:34:57 2015  4 relations: 1234527
Sat Feb  7 13:34:57 2015  5 relations: 1230116
Sat Feb  7 13:34:57 2015  6 relations: 1165918
Sat Feb  7 13:34:57 2015  7 relations: 1089200
Sat Feb  7 13:34:57 2015  8 relations: 981052
Sat Feb  7 13:34:57 2015  9 relations: 862621
Sat Feb  7 13:34:57 2015  10+ relations: 3321270
Sat Feb  7 13:34:57 2015  heaviest cycle: 25 relations
Sat Feb  7 13:35:00 2015  commencing cycle optimization
Sat Feb  7 13:35:21 2015  start with 90605650 relations
Sat Feb  7 13:38:04 2015  pruned 3250948 relations
Sat Feb  7 13:38:04 2015  memory use: 2639.7 MB
Sat Feb  7 13:38:04 2015  distribution of cycle lengths:
Sat Feb  7 13:38:04 2015  1 relations: 903983
Sat Feb  7 13:38:04 2015  2 relations: 1120588
Sat Feb  7 13:38:04 2015  3 relations: 1283000
Sat Feb  7 13:38:04 2015  4 relations: 1280205
Sat Feb  7 13:38:04 2015  5 relations: 1282680
Sat Feb  7 13:38:04 2015  6 relations: 1209251
Sat Feb  7 13:38:04 2015  7 relations: 1129117
Sat Feb  7 13:38:04 2015  8 relations: 1006925
Sat Feb  7 13:38:04 2015  9 relations: 878074
Sat Feb  7 13:38:04 2015  10+ relations: 3023454
Sat Feb  7 13:38:04 2015  heaviest cycle: 24 relations
Sat Feb  7 13:38:25 2015  RelProcTime: 10764
Sat Feb  7 13:38:25 2015  
Sat Feb  7 13:38:25 2015  commencing linear algebra
Sat Feb  7 13:38:31 2015  read 13117277 cycles
Sat Feb  7 13:38:52 2015  cycles contain 40527370 unique relations
Sat Feb  7 13:56:02 2015  read 40527370 relations
Sat Feb  7 13:57:14 2015  using 20 quadratic characters above 2147482938
Sat Feb  7 13:59:51 2015  building initial matrix
Sat Feb  7 14:07:18 2015  memory use: 5278.9 MB
Sat Feb  7 14:08:13 2015  read 13117277 cycles
Sat Feb  7 14:08:15 2015  matrix is 13117100 x 13117277 (5117.2 MB) with weight 1459191397 (111.24/col)
Sat Feb  7 14:08:15 2015  sparse part has weight 1197142001 (91.26/col)
Sat Feb  7 14:10:43 2015  filtering completed in 2 passes
Sat Feb  7 14:10:46 2015  matrix is 13116420 x 13116597 (5117.1 MB) with weight 1459171718 (111.25/col)
Sat Feb  7 14:10:46 2015  sparse part has weight 1197135373 (91.27/col)
Sat Feb  7 14:12:35 2015  matrix starts at (0, 0)
Sat Feb  7 14:12:37 2015  matrix is 13116420 x 13116597 (5117.1 MB) with weight 1459171718 (111.25/col)
Sat Feb  7 14:12:37 2015  sparse part has weight 1197135373 (91.27/col)
Sat Feb  7 14:12:37 2015  saving the first 48 matrix rows for later
Sat Feb  7 14:12:39 2015  matrix includes 64 packed rows
Sat Feb  7 14:12:41 2015  matrix is 13116372 x 13116597 (4897.5 MB) with weight 1230517101 (93.81/col)
Sat Feb  7 14:12:41 2015  sparse part has weight 1152682076 (87.88/col)
Sat Feb  7 14:12:41 2015  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sat Feb  7 14:13:35 2015  commencing Lanczos iteration (3 threads)
Sat Feb  7 14:13:35 2015  memory use: 4164.8 MB
Sat Feb  7 14:14:47 2015  linear algebra at 0.0%, ETA 167h59m
Sat Feb  7 14:15:10 2015  checkpointing every 80000 dimensions
Sun Feb 15 02:34:22 2015  lanczos halted after 207412 iterations (dim = 13116369)
Sun Feb 15 02:36:48 2015  recovered 35 nontrivial dependencies
Sun Feb 15 02:36:49 2015  BLanczosTime: 651504
Sun Feb 15 02:36:49 2015  
Sun Feb 15 02:36:49 2015  commencing square root phase
Sun Feb 15 02:36:49 2015  handling dependencies 1 to 64
Sun Feb 15 02:36:49 2015  reading relations for dependency 1
Sun Feb 15 02:36:54 2015  read 6556715 cycles
Sun Feb 15 02:37:05 2015  cycles contain 20255918 unique relations
Sun Feb 15 03:01:33 2015  read 20255918 relations
Sun Feb 15 03:03:12 2015  multiplying 20255918 relations
Sun Feb 15 03:27:02 2015  multiply complete, coefficients have about 727.72 million bits
Sun Feb 15 03:27:04 2015  initial square root is modulo 3378439
Sun Feb 15 03:52:00 2015  sqrtTime: 4511
Sun Feb 15 03:52:00 2015  prp75 factor: 165198203590823290848587352651645100949599863892450229967274970509100778719
Sun Feb 15 03:52:00 2015  prp177 factor: 477540839876730610431159460591741145848305810321830984748839227141375542486762239452479475815068280835059257197848334544747727389608334462603756680820125708522232586279682869673
Sun Feb 15 03:52:00 2015  elapsed time 185:13:01

NFS@home running gnfs-lasieve4I15e, then msieve

msieve running on i7/2600 -t3

9213337063669610637515927603617205595747720829352760997112994553315125874643497487476591408238100592146559614718060030263360338707364205721340378141595827526472075725105555521956620934598175997532352841250347614919676557834579838722921<235>

98398334844910237129478845645464666006782436063828087329685315046079222612919101387819485320967485989110958750204580421947566032903101103668007729806874560870134078842850479858327333440201649713213626668865463871184927<218>

355869460701239898282838439227471722198761832931897933084924248960974646804897741745548119285331930189885658298783852630755600655730128311463690511244020775997459079611985473659090944361379484899433610322678001069179705181652778936155927<237>

21246670856151060837298381063530538348744650926175299997007511147020977346859382948798515725528922404764042253942604063799862345512762964957955531615644731723374330430619145943681359786934793667893587096388065954454319657659275219199808480713409342550199<254>

109981025418599712901061198739110921353570399412479509700346493609654563756979886485175563785040981453344689190974402434023811258758741191692821870055549601126704830857476646947031645840440520496172430009<204>

876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543209876543<258>

5224382601655094904956922428558518822765000184646902670046302452120113305622584974352743096612986712214883645455194543042481873144276353461050535206986966056243731970066029644062461445484299726977985755944164308779104099713164919747276843361<241>

146693763908193324690489509238964455399049<42>
35614210600831792508862294475022106451102679280659008134714554221511914805095315322454784109691816766493133494371685592209463530628715425879429662875513523122707163426749256049913032871816165045272089<200>

Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 16 23:56:02 2023 
Input number is 5224382601655094904956922428558518822765000184646902670046302452120113305622584974352743096612986712214883645455194543042481873144276353461050535206986966056243731970066029644062461445484299726977985755944164308779104099713164919747276843361 (241 digits)
Using mpz_mod
Using lmax = 8388608 with NTT which takes about 2880MB of memory
Using B1=4000000000-4000000000, B2=205705378426380, polynomial x^1
P = 24249225, l = 8388608, s_1 = 4147200, k = s_2 = 2, m_1 = 79
Probability of finding a factor of n digits (assuming one exists):
20      25      30      35      40      45      50      55      60      65
0.71    0.43    0.21    0.087   0.032   0.01    0.003   0.00079 0.00019 4.5e-05
Step 1 took 0ms
Computing F from factored S_1 took 30229ms
Computing h took 4161ms
Computing DCT-I of h took 8777ms
Multi-point evaluation 1 of 2:
Computing g_i took 13978ms
Computing g*h took 17241ms
Computing gcd of coefficients and N took 3959ms
Step 2 took 78781ms
********** Factor found in step 2: 146693763908193324690489509238964455399049
Found prime factor of 42 digits: 146693763908193324690489509238964455399049
Prime cofactor 35614210600831792508862294475022106451102679280659008134714554221511914805095315322454784109691816766493133494371685592209463530628715425879429662875513523122707163426749256049913032871816165045272089 has 200 digits

1080 ti for stage 1

350435201759954163730580712240453043231314328393793386854598747499640498474948514483401140448742145606961195226414540099132954365073235321744594155266366330505163843175864212297057792342005612080816269907651709556153826206949714941<231>