5803905540887558263985489078759725396885725234535263165222238080255654302916465210789360921569<94>

1972108063362367189451376248797<31>
2942995695171047624969249628590188180420693681219570640764638677<64>

N=5803905540887558263985489078759725396885725234535263165222238080255654302916465210789360921569
  ( 94 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=1972108063362367189451376248797
 r2=2942995695171047624969249628590188180420693681219570640764638677
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
n: 5803905540887558263985489078759725396885725234535263165222238080255654302916465210789360921569
m: 100000000000000000000000000
c4: 13
c0: -85
skew: 1.6
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 285001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 37181 x 37410
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.40 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

10300738268667869941900222275951412419627031093089343147466513267202507820099968563571811<89>

6001131512745860146554482788707579097961<40>
1716466010916447043435880068391731173711732687851<49>

Wed Oct 15 05:27:12 2008  Msieve v. 1.38
Wed Oct 15 05:27:12 2008  random seeds: dba802fa 24726388
Wed Oct 15 05:27:12 2008  factoring 10300738268667869941900222275951412419627031093089343147466513267202507820099968563571811 (89 digits)
Wed Oct 15 05:27:13 2008  searching for 15-digit factors
Wed Oct 15 05:27:15 2008  commencing quadratic sieve (89-digit input)
Wed Oct 15 05:27:15 2008  using multiplier of 11
Wed Oct 15 05:27:15 2008  using 64kb Pentium 4 sieve core
Wed Oct 15 05:27:15 2008  sieve interval: 14 blocks of size 65536
Wed Oct 15 05:27:15 2008  processing polynomials in batches of 8
Wed Oct 15 05:27:15 2008  using a sieve bound of 1537147 (58224 primes)
Wed Oct 15 05:27:15 2008  using large prime bound of 122971760 (26 bits)
Wed Oct 15 05:27:15 2008  using double large prime bound of 364459767191680 (42-49 bits)
Wed Oct 15 05:27:15 2008  using trial factoring cutoff of 49 bits
Wed Oct 15 05:27:15 2008  polynomial 'A' values have 11 factors
Wed Oct 15 06:57:24 2008  58395 relations (16414 full + 41981 combined from 610832 partial), need 58320
Wed Oct 15 06:57:26 2008  begin with 627246 relations
Wed Oct 15 06:57:27 2008  reduce to 139598 relations in 11 passes
Wed Oct 15 06:57:27 2008  attempting to read 139598 relations
Wed Oct 15 06:57:30 2008  recovered 139598 relations
Wed Oct 15 06:57:30 2008  recovered 115984 polynomials
Wed Oct 15 06:57:30 2008  attempting to build 58395 cycles
Wed Oct 15 06:57:31 2008  found 58395 cycles in 6 passes
Wed Oct 15 06:57:31 2008  distribution of cycle lengths:
Wed Oct 15 06:57:31 2008     length 1 : 16414
Wed Oct 15 06:57:31 2008     length 2 : 11404
Wed Oct 15 06:57:31 2008     length 3 : 10538
Wed Oct 15 06:57:31 2008     length 4 : 7465
Wed Oct 15 06:57:31 2008     length 5 : 5335
Wed Oct 15 06:57:31 2008     length 6 : 3216
Wed Oct 15 06:57:31 2008     length 7 : 1855
Wed Oct 15 06:57:31 2008     length 9+: 2168
Wed Oct 15 06:57:31 2008  largest cycle: 20 relations
Wed Oct 15 06:57:31 2008  matrix is 58224 x 58395 (14.0 MB) with weight 3437825 (58.87/col)
Wed Oct 15 06:57:31 2008  sparse part has weight 3437825 (58.87/col)
Wed Oct 15 06:57:32 2008  filtering completed in 3 passes
Wed Oct 15 06:57:32 2008  matrix is 53593 x 53657 (13.0 MB) with weight 3201131 (59.66/col)
Wed Oct 15 06:57:32 2008  sparse part has weight 3201131 (59.66/col)
Wed Oct 15 06:57:32 2008  saving the first 48 matrix rows for later
Wed Oct 15 06:57:32 2008  matrix is 53545 x 53657 (9.3 MB) with weight 2631124 (49.04/col)
Wed Oct 15 06:57:32 2008  sparse part has weight 2128145 (39.66/col)
Wed Oct 15 06:57:32 2008  matrix includes 64 packed rows
Wed Oct 15 06:57:32 2008  using block size 21462 for processor cache size 512 kB
Wed Oct 15 06:57:33 2008  commencing Lanczos iteration
Wed Oct 15 06:57:33 2008  memory use: 8.5 MB
Wed Oct 15 06:58:05 2008  lanczos halted after 848 iterations (dim = 53545)
Wed Oct 15 06:58:05 2008  recovered 18 nontrivial dependencies
Wed Oct 15 06:58:07 2008  prp40 factor: 6001131512745860146554482788707579097961
Wed Oct 15 06:58:07 2008  prp49 factor: 1716466010916447043435880068391731173711732687851
Wed Oct 15 06:58:07 2008  elapsed time 01:30:55

2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<112>

73754123201921790624647439007473229<35>
39169184900751608644593613969599919588169278840249296543982129934412148934803<77>

SNFS difficulty: 113 digits.
Divisors found:
 r1=73754123201921790624647439007473229
 r2=39169184900751608644593613969599919588169278840249296543982129934412148934803
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
n: 2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 10000000000000000000000000000
c4: 13
c0: -85
skew: 1.6
type: snfs
Factor base limits: 450000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [225000, 345001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 48154 x 48371
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113,4,0,0,0,0,0,0,0,0,450000,500000,25,25,44,44,2.2,2.2,20000
total time: 0.60 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

21495620639334323620041094666134567380379144717364418646392658683358512145893753595865962238643222881393696673809<113>

339145835876930553447588298468823<33>
6925540496049346647691472035885723<34>
9151869670383651567843410263648963919135064821<46>

Factor28887_118

Inputnumber is 21495620639334323620041094666134567380379144717364418646392658683358512145893753595865962238643222881393696673809

Run 216 out of 904:
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=334309867
Step 1 took 15101ms
Step 2 took 7317ms
********** Factor found in step 2: 339145835876930553447588298468823
Found probable prime factor of 33 digits: 339145835876930553447588298468823
Composite cofactor 63381644016807764877796119529273285908378065539823990280799855167981847753450583 has 80 digits

Wed Oct 15 13:45:35 2008  
Wed Oct 15 13:45:35 2008  Msieve v. 1.38
Wed Oct 15 13:45:35 2008  random seeds: 6e94724d 3e8b164c
Wed Oct 15 13:45:35 2008  factoring 80 (2 digits)
Wed Oct 15 13:45:35 2008  p1 factor: 2
Wed Oct 15 13:45:35 2008  p1 factor: 2
Wed Oct 15 13:45:35 2008  p1 factor: 2
Wed Oct 15 13:45:35 2008  p1 factor: 2
Wed Oct 15 13:45:35 2008  p1 factor: 5
Wed Oct 15 13:45:35 2008  elapsed time 00:00:00
Wed Oct 15 13:51:54 2008  
Wed Oct 15 13:51:54 2008  
Wed Oct 15 13:51:54 2008  Msieve v. 1.38
Wed Oct 15 13:51:54 2008  random seeds: c1fb0222 03cd8c81
Wed Oct 15 13:51:54 2008  factoring 63381644016807764877796119529273285908378065539823990280799855167981847753450583 (80 digits)
Wed Oct 15 13:51:55 2008  searching for 15-digit factors
Wed Oct 15 13:51:57 2008  commencing quadratic sieve (80-digit input)
Wed Oct 15 13:51:57 2008  using multiplier of 47
Wed Oct 15 13:51:57 2008  using 32kb Intel Core sieve core
Wed Oct 15 13:51:57 2008  sieve interval: 12 blocks of size 32768
Wed Oct 15 13:51:57 2008  processing polynomials in batches of 17
Wed Oct 15 13:51:57 2008  using a sieve bound of 1301023 (49967 primes)
Wed Oct 15 13:51:57 2008  using large prime bound of 130102300 (26 bits)
Wed Oct 15 13:51:57 2008  using trial factoring cutoff of 27 bits
Wed Oct 15 13:51:57 2008  polynomial 'A' values have 10 factors
Wed Oct 15 14:04:14 2008  50098 relations (26281 full + 23817 combined from 265003 partial), need 50063
Wed Oct 15 14:04:15 2008  begin with 291284 relations
Wed Oct 15 14:04:15 2008  reduce to 70947 relations in 2 passes
Wed Oct 15 14:04:15 2008  attempting to read 70947 relations
Wed Oct 15 14:04:16 2008  recovered 70947 relations
Wed Oct 15 14:04:16 2008  recovered 58432 polynomials
Wed Oct 15 14:04:16 2008  attempting to build 50098 cycles
Wed Oct 15 14:04:16 2008  found 50098 cycles in 1 passes
Wed Oct 15 14:04:16 2008  distribution of cycle lengths:
Wed Oct 15 14:04:16 2008     length 1 : 26281
Wed Oct 15 14:04:16 2008     length 2 : 23817
Wed Oct 15 14:04:16 2008  largest cycle: 2 relations
Wed Oct 15 14:04:16 2008  matrix is 49967 x 50098 (6.6 MB) with weight 1541394 (30.77/col)
Wed Oct 15 14:04:16 2008  sparse part has weight 1541394 (30.77/col)
Wed Oct 15 14:04:17 2008  filtering completed in 3 passes
Wed Oct 15 14:04:17 2008  matrix is 34614 x 34677 (5.1 MB) with weight 1207990 (34.84/col)
Wed Oct 15 14:04:17 2008  sparse part has weight 1207990 (34.84/col)
Wed Oct 15 14:04:17 2008  saving the first 48 matrix rows for later
Wed Oct 15 14:04:17 2008  matrix is 34566 x 34677 (3.8 MB) with weight 961386 (27.72/col)
Wed Oct 15 14:04:17 2008  sparse part has weight 792580 (22.86/col)
Wed Oct 15 14:04:17 2008  matrix includes 64 packed rows
Wed Oct 15 14:04:17 2008  using block size 13870 for processor cache size 2048 kB
Wed Oct 15 14:04:17 2008  commencing Lanczos iteration
Wed Oct 15 14:04:17 2008  memory use: 4.1 MB
Wed Oct 15 14:04:23 2008  lanczos halted after 548 iterations (dim = 34564)
Wed Oct 15 14:04:23 2008  recovered 17 nontrivial dependencies
Wed Oct 15 14:04:23 2008  prp34 factor: 6925540496049346647691472035885723
Wed Oct 15 14:04:23 2008  prp46 factor: 9151869670383651567843410263648963919135064821
Wed Oct 15 14:04:23 2008  elapsed time 00:12:29

9766139832384762896912339152044876396428084208537614661988723606220408596691529383058877<88>

3759727749368860911148358537753<31>
2597565697150329074823057784392058457450845003898821264709<58>

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1986497679
Step 1 took 3732ms
Step 2 took 2901ms
********** Factor found in step 2: 3759727749368860911148358537753
Found probable prime factor of 31 digits: 3759727749368860911148358537753
Probable prime cofactor 2597565697150329074823057784392058457450845003898821264709 has 58 digits

GMP-ECM 6.2.1

816464180989650351224051488844692798792324458135191337497018777767584167746285873004029875623655930698993<105>

1824903596618491254551411008086026120234261<43>
447401266840912389986722883683744380837849073077673223449077613<63>

Number: 28887_124
N=816464180989650351224051488844692798792324458135191337497018777767584167746285873004029875623655930698993
  ( 105 digits)
Divisors found:
 r1=1824903596618491254551411008086026120234261 (pp43)
 r2=447401266840912389986722883683744380837849073077673223449077613 (pp63)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 16.15 hours.
Scaled time: 12.43 units (timescale=0.770).
Factorization parameters were as follows:
name: 28887_124
n: 816464180989650351224051488844692798792324458135191337497018777767584167746285873004029875623655930698993
skew: 5714.03
# norm 3.50e+14
c5: 401040
c4: 6493525469
c3: -27978259045032
c2: -159309783903663376
c1: 580710657569380116552
c0: -5182581195961543252333
# alpha -5.78
Y1: 154008731899
Y0: -72735580824209398380
# Murphy_E 1.78e-09
# M 447983274830461864379146476925871244975907299446442034552756791959963487336853989126526061321897454429511
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: RFBsize:183072, AFBsize:183110, largePrimes:4631329 encountered
Relations: rels:4993380, finalFF:682858
Max relations in full relation-set: 28
Initial matrix: 366260 x 682858 with sparse part having weight 52516455.
Pruned matrix : 195355 x 197250 with weight 26985107.
Total sieving time: 15.41 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 16.15 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

1204692016629955256328089887937976301517969093592680868815711272508092143797499855243889513657201<97>

3042549675264553555477312649387<31>
395948183335808890825034372088476100294521230559806139712454179923<66>

Wed Oct 15 16:15:04 2008  Msieve v. 1.38
Wed Oct 15 16:15:04 2008  random seeds: 96667591 d41288e4
Wed Oct 15 16:15:04 2008  factoring 1204692016629955256328089887937976301517969093592680868815711272508092143797499855243889513657201 (97 digits)
Wed Oct 15 16:15:06 2008  searching for 15-digit factors
Wed Oct 15 16:15:07 2008  commencing quadratic sieve (97-digit input)
Wed Oct 15 16:15:08 2008  using multiplier of 1
Wed Oct 15 16:15:08 2008  using 64kb Pentium 4 sieve core
Wed Oct 15 16:15:08 2008  sieve interval: 18 blocks of size 65536
Wed Oct 15 16:15:08 2008  processing polynomials in batches of 6
Wed Oct 15 16:15:08 2008  using a sieve bound of 2333549 (85882 primes)
Wed Oct 15 16:15:08 2008  using large prime bound of 350032350 (28 bits)
Wed Oct 15 16:15:08 2008  using double large prime bound of 2395491891430500 (43-52 bits)
Wed Oct 15 16:15:08 2008  using trial factoring cutoff of 52 bits
Wed Oct 15 16:15:08 2008  polynomial 'A' values have 12 factors
Wed Oct 15 23:33:55 2008  86273 relations (21010 full + 65263 combined from 1288906 partial), need 85978
Wed Oct 15 23:34:00 2008  begin with 1309916 relations
Wed Oct 15 23:34:02 2008  reduce to 225209 relations in 11 passes
Wed Oct 15 23:34:02 2008  attempting to read 225209 relations
Wed Oct 15 23:34:09 2008  recovered 225209 relations
Wed Oct 15 23:34:09 2008  recovered 208543 polynomials
Wed Oct 15 23:34:10 2008  attempting to build 86273 cycles
Wed Oct 15 23:34:10 2008  found 86273 cycles in 6 passes
Wed Oct 15 23:34:10 2008  distribution of cycle lengths:
Wed Oct 15 23:34:10 2008     length 1 : 21010
Wed Oct 15 23:34:10 2008     length 2 : 15212
Wed Oct 15 23:34:10 2008     length 3 : 14481
Wed Oct 15 23:34:10 2008     length 4 : 11709
Wed Oct 15 23:34:10 2008     length 5 : 8783
Wed Oct 15 23:34:10 2008     length 6 : 5987
Wed Oct 15 23:34:10 2008     length 7 : 3793
Wed Oct 15 23:34:10 2008     length 9+: 5298
Wed Oct 15 23:34:10 2008  largest cycle: 22 relations
Wed Oct 15 23:34:10 2008  matrix is 85882 x 86273 (23.5 MB) with weight 5811120 (67.36/col)
Wed Oct 15 23:34:10 2008  sparse part has weight 5811120 (67.36/col)
Wed Oct 15 23:34:12 2008  filtering completed in 4 passes
Wed Oct 15 23:34:12 2008  matrix is 81786 x 81850 (22.3 MB) with weight 5526947 (67.53/col)
Wed Oct 15 23:34:12 2008  sparse part has weight 5526947 (67.53/col)
Wed Oct 15 23:34:13 2008  saving the first 48 matrix rows for later
Wed Oct 15 23:34:13 2008  matrix is 81738 x 81850 (15.7 MB) with weight 4521233 (55.24/col)
Wed Oct 15 23:34:13 2008  sparse part has weight 3616544 (44.19/col)
Wed Oct 15 23:34:13 2008  matrix includes 64 packed rows
Wed Oct 15 23:34:13 2008  using block size 21845 for processor cache size 512 kB
Wed Oct 15 23:34:14 2008  commencing Lanczos iteration
Wed Oct 15 23:34:14 2008  memory use: 14.2 MB
Wed Oct 15 23:35:33 2008  lanczos halted after 1294 iterations (dim = 81736)
Wed Oct 15 23:35:34 2008  recovered 16 nontrivial dependencies
Wed Oct 15 23:35:35 2008  prp31 factor: 3042549675264553555477312649387
Wed Oct 15 23:35:35 2008  prp66 factor: 395948183335808890825034372088476100294521230559806139712454179923
Wed Oct 15 23:35:35 2008  elapsed time 07:20:31

32472796519521605950704707962779367391733293104734093089187017362312920723741833758460503464549450724888744205594623933<119>

176708995742868033725601335173947516522546743<45>
183764252538525370473390572332885210401984688084514695855899989508440764331<75>

Number: 28887_127
N=32472796519521605950704707962779367391733293104734093089187017362312920723741833758460503464549450724888744205594623933
  ( 119 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=176708995742868033725601335173947516522546743 (pp45)
 r2=183764252538525370473390572332885210401984688084514695855899989508440764331 (pp75)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.81 hours.
Scaled time: 2.98 units (timescale=0.783).
Factorization parameters were as follows:
name: 28887_127
n: 32472796519521605950704707962779367391733293104734093089187017362312920723741833758460503464549450724888744205594623933
m: 10000000000000000000000000
c5: 2600
c0: -17
skew: 0.37
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 850001)
Primes: RFBsize:63951, AFBsize:63953, largePrimes:1446680 encountered
Relations: rels:1429455, finalFF:159869
Max relations in full relation-set: 28
Initial matrix: 127971 x 159869 with sparse part having weight 9961803.
Pruned matrix : 117646 x 118349 with weight 5787394.
Total sieving time: 3.68 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,128,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.81 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

5258467904379893917425879319299797702544751262661304331982090981680291206386080564645724578974138223446115582384798742539<121>

15177348453623950838024813965176032894221<41>
346468154200169948635742296967949960762542906674809782261859479169727252266013559<81>

Number: 28887_134
N=5258467904379893917425879319299797702544751262661304331982090981680291206386080564645724578974138223446115582384798742539
  ( 121 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=15177348453623950838024813965176032894221 (pp41)
 r2=346468154200169948635742296967949960762542906674809782261859479169727252266013559 (pp81)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.36 hours.
Scaled time: 8.38 units (timescale=1.002).
Factorization parameters were as follows:
name: 28887_134
n: 5258467904379893917425879319299797702544751262661304331982090981680291206386080564645724578974138223446115582384798742539
m: 1000000000000000000000000000
c5: 13
c0: -85
skew: 1.46
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:64473, largePrimes:1753499 encountered
Relations: rels:1865992, finalFF:264471
Max relations in full relation-set: 28
Initial matrix: 143036 x 264471 with sparse part having weight 26412188.
Pruned matrix : 117853 x 118632 with weight 11238155.
Total sieving time: 8.22 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.36 hours.
 --------- CPU info (if available) ----------

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

64642848263345018771288630317495835508813803734367618905546853633673951418413266701474354193083215235822082991472116556027945600556923<134>

526294333620542813446146956660416129<36>
2734255542207168448248267232752481223<37>
44921338536578715635599211917927596126790380075342452322497069<62>

Number: 28887_137
N=64642848263345018771288630317495835508813803734367618905546853633673951418413266701474354193083215235822082991472116556027945600556923
  ( 134 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=526294333620542813446146956660416129 (pp36)
 r2=2734255542207168448248267232752481223 (pp37)
 r3=44921338536578715635599211917927596126790380075342452322497069 (pp62)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 8.31 hours.
Scaled time: 8.41 units (timescale=1.011).
Factorization parameters were as follows:
name: 28887_137
n: 64642848263345018771288630317495835508813803734367618905546853633673951418413266701474354193083215235822082991472116556027945600556923
m: 1000000000000000000000000000
c5: 2600
c0: -17
skew: 0.37
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1675001)
Primes: RFBsize:78498, AFBsize:63953, largePrimes:1617804 encountered
Relations: rels:1626585, finalFF:164691
Max relations in full relation-set: 28
Initial matrix: 142518 x 164691 with sparse part having weight 17091487.
Pruned matrix : 136891 x 137667 with weight 12918139.
Total sieving time: 8.15 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.31 hours.
 --------- CPU info (if available) ----------

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

14968336211859527921704087507196315486470926885434657455382843983880253310305123776626367299942429476108232584916522740356937248128957973517559<143>

1782151055743702442344825007074171523<37>
16521095534080175058325500493943837954429<41>
508382011054035835676406114546052839485630855313152746851685502977<66>

Number: 28887_144
N=14968336211859527921704087507196315486470926885434657455382843983880253310305123776626367299942429476108232584916522740356937248128957973517559
  ( 143 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1782151055743702442344825007074171523 (pp37)
 r2=16521095534080175058325500493943837954429 (pp41)
 r3=508382011054035835676406114546052839485630855313152746851685502977 (pp66)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 19.60 hours.
Scaled time: 19.78 units (timescale=1.009).
Factorization parameters were as follows:
name: 28887_144
n: 14968336211859527921704087507196315486470926885434657455382843983880253310305123776626367299942429476108232584916522740356937248128957973517559
m: 100000000000000000000000000000
c5: 13
c0: -85
skew: 1.46
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [750000, 3250001)
Primes: RFBsize:114155, AFBsize:114742, largePrimes:2972820 encountered
Relations: rels:2998620, finalFF:273682
Max relations in full relation-set: 28
Initial matrix: 228962 x 273682 with sparse part having weight 31732339.
Pruned matrix : 216250 x 217458 with weight 23641325.
Total sieving time: 19.18 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000
total time: 19.60 hours.
 --------- CPU info (if available) ----------

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

288888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<150>

134971906566222676263728404267505511206402426126592403563178725170953<69>
2140363103985260191659544710319723616409514346738105611022769933803701494623081279<82>

SNFS difficulty: 151 digits.
Divisors found:
 r1=134971906566222676263728404267505511206402426126592403563178725170953
 r2=2140363103985260191659544710319723616409514346738105611022769933803701494623081279
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.946).
Factorization parameters were as follows:
n: 288888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 1000000000000000000000000000000
c5: 13
c0: -85
skew: 1.46
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [1200000, 1900001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 506341 x 506589
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,54,54,2.5,2.5,100000
total time: 10.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

581611377564460147190254458089733717901553248586056816556993159064446199463882568826397249475201<96>

144033299950349239793375411134290953<36>
4038034105758540631100193593028886436502038569222778774393017<61>

Wed Oct 15 07:31:11 2008  Msieve v. 1.38
Wed Oct 15 07:31:11 2008  random seeds: 4a2e2996 99e36ae2
Wed Oct 15 07:31:11 2008  factoring 581611377564460147190254458089733717901553248586056816556993159064446199463882568826397249475201 (96 digits)
Wed Oct 15 07:31:13 2008  searching for 15-digit factors
Wed Oct 15 07:31:15 2008  commencing quadratic sieve (96-digit input)
Wed Oct 15 07:31:15 2008  using multiplier of 5
Wed Oct 15 07:31:15 2008  using 64kb Pentium 4 sieve core
Wed Oct 15 07:31:15 2008  sieve interval: 18 blocks of size 65536
Wed Oct 15 07:31:15 2008  processing polynomials in batches of 6
Wed Oct 15 07:31:15 2008  using a sieve bound of 2296873 (84706 primes)
Wed Oct 15 07:31:15 2008  using large prime bound of 344530950 (28 bits)
Wed Oct 15 07:31:15 2008  using double large prime bound of 2328149289953700 (43-52 bits)
Wed Oct 15 07:31:15 2008  using trial factoring cutoff of 52 bits
Wed Oct 15 07:31:15 2008  polynomial 'A' values have 12 factors
Wed Oct 15 16:02:07 2008  85039 relations (20512 full + 64527 combined from 1285560 partial), need 84802
Wed Oct 15 16:02:12 2008  begin with 1306072 relations
Wed Oct 15 16:02:14 2008  reduce to 223844 relations in 12 passes
Wed Oct 15 16:02:14 2008  attempting to read 223844 relations
Wed Oct 15 16:02:21 2008  recovered 223844 relations
Wed Oct 15 16:02:21 2008  recovered 210027 polynomials
Wed Oct 15 16:02:21 2008  attempting to build 85039 cycles
Wed Oct 15 16:02:21 2008  found 85039 cycles in 6 passes
Wed Oct 15 16:02:21 2008  distribution of cycle lengths:
Wed Oct 15 16:02:21 2008     length 1 : 20512
Wed Oct 15 16:02:21 2008     length 2 : 14602
Wed Oct 15 16:02:21 2008     length 3 : 13960
Wed Oct 15 16:02:21 2008     length 4 : 11605
Wed Oct 15 16:02:21 2008     length 5 : 8985
Wed Oct 15 16:02:21 2008     length 6 : 6035
Wed Oct 15 16:02:21 2008     length 7 : 3886
Wed Oct 15 16:02:21 2008     length 9+: 5454
Wed Oct 15 16:02:21 2008  largest cycle: 20 relations
Wed Oct 15 16:02:22 2008  matrix is 84706 x 85039 (23.8 MB) with weight 5898680 (69.36/col)
Wed Oct 15 16:02:22 2008  sparse part has weight 5898680 (69.36/col)
Wed Oct 15 16:02:24 2008  filtering completed in 3 passes
Wed Oct 15 16:02:24 2008  matrix is 80977 x 81040 (22.8 MB) with weight 5643742 (69.64/col)
Wed Oct 15 16:02:24 2008  sparse part has weight 5643742 (69.64/col)
Wed Oct 15 16:02:24 2008  saving the first 48 matrix rows for later
Wed Oct 15 16:02:25 2008  matrix is 80929 x 81040 (16.7 MB) with weight 4727767 (58.34/col)
Wed Oct 15 16:02:25 2008  sparse part has weight 3887127 (47.97/col)
Wed Oct 15 16:02:25 2008  matrix includes 64 packed rows
Wed Oct 15 16:02:25 2008  using block size 21845 for processor cache size 512 kB
Wed Oct 15 16:02:26 2008  commencing Lanczos iteration
Wed Oct 15 16:02:26 2008  memory use: 14.7 MB
Wed Oct 15 16:03:47 2008  lanczos halted after 1282 iterations (dim = 80929)
Wed Oct 15 16:03:47 2008  recovered 18 nontrivial dependencies
Wed Oct 15 16:03:50 2008  prp36 factor: 144033299950349239793375411134290953
Wed Oct 15 16:03:50 2008  prp61 factor: 4038034105758540631100193593028886436502038569222778774393017
Wed Oct 15 16:03:50 2008  elapsed time 08:32:39

96251058298895815263122628660825708213435981385045324993549328112083616996308031521481200132234146247559943123028472914026703745535894425916115721907<149>

1655806187784170081376129355024512400874595061215829462877<58>
58129423001915900497455256477363673668965485263795199277948640370085158428885797129195181391<92>

SNFS difficulty: 156 digits.
Divisors found:
 r1=1655806187784170081376129355024512400874595061215829462877
 r2=58129423001915900497455256477363673668965485263795199277948640370085158428885797129195181391
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
n: 96251058298895815263122628660825708213435981385045324993549328112083616996308031521481200132234146247559943123028472914026703745535894425916115721907
m: 10000000000000000000000000000000
c5: 13
c0: -85
skew: 1.46
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [1500000, 2500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 620058 x 620306
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,54,54,2.5,2.5,100000
total time: 15.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

637175080124041304185260340865104028285702638816685146476778755934657374983610403654286401198601947444535960325318924282255462409<129>

3677069971699943402973240503427918915132808241897783<52>
173283371006799030478413179782103712024486470011088345019793475092290392389823<78>

Number: 28887_157
N=637175080124041304185260340865104028285702638816685146476778755934657374983610403654286401198601947444535960325318924282255462409
  ( 129 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=3677069971699943402973240503427918915132808241897783 (pp52)
 r2=173283371006799030478413179782103712024486470011088345019793475092290392389823 (pp78)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 58.34 hours.
Scaled time: 44.57 units (timescale=0.764).
Factorization parameters were as follows:
name: 28887_157
n: 637175080124041304185260340865104028285702638816685146476778755934657374983610403654286401198601947444535960325318924282255462409
m: 10000000000000000000000000000000
c5: 2600
c0: -17
skew: 0.37
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3700001)
Primes: RFBsize:283146, AFBsize:282132, largePrimes:5804981 encountered
Relations: rels:5920382, finalFF:725994
Max relations in full relation-set: 28
Initial matrix: 565345 x 725994 with sparse part having weight 47524292.
Pruned matrix : 442217 x 445107 with weight 31339304.
Total sieving time: 53.79 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 4.22 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 58.34 hours.
 --------- CPU info (if available) ----------

Core 2 Duo E6300 1.86GHz, Windows Vista)

349336837983491953871872894642555708833828354422395239433937378913519331683566606179884934655984351<99>

457172000486643298781203262917205228548147422071<48>
764125619267224024718139398079281672269351217374681<51>

Fri Oct 17 07:48:19 2008  Msieve v. 1.38
Fri Oct 17 07:48:19 2008  random seeds: 0af0844d 10432bce
Fri Oct 17 07:48:19 2008  factoring 349336837983491953871872894642555708833828354422395239433937378913519331683566606179884934655984351 (99 digits)
Fri Oct 17 07:48:22 2008  searching for 15-digit factors
Fri Oct 17 07:48:25 2008  commencing quadratic sieve (99-digit input)
Fri Oct 17 07:48:26 2008  using multiplier of 5
Fri Oct 17 07:48:26 2008  using 32kb Intel Core sieve core
Fri Oct 17 07:48:26 2008  sieve interval: 36 blocks of size 32768
Fri Oct 17 07:48:26 2008  processing polynomials in batches of 6
Fri Oct 17 07:48:26 2008  using a sieve bound of 2605289 (95294 primes)
Fri Oct 17 07:48:26 2008  using large prime bound of 390793350 (28 bits)
Fri Oct 17 07:48:26 2008  using double large prime bound of 2920820370574650 (43-52 bits)
Fri Oct 17 07:48:26 2008  using trial factoring cutoff of 52 bits
Fri Oct 17 07:48:26 2008  polynomial 'A' values have 13 factors
Fri Oct 17 12:43:25 2008  15126 relations (9655 full + 5471 combined from 615376 partial), need 95390
Fri Oct 17 12:43:25 2008  elapsed time 04:55:06
Fri Oct 17 14:25:55 2008  
Fri Oct 17 14:25:55 2008  
Fri Oct 17 14:25:55 2008  Msieve v. 1.38
Fri Oct 17 14:25:55 2008  random seeds: 741f743b 867902a2
Fri Oct 17 14:25:55 2008  factoring 349336837983491953871872894642555708833828354422395239433937378913519331683566606179884934655984351 (99 digits)
Fri Oct 17 14:25:56 2008  searching for 15-digit factors
Fri Oct 17 14:25:58 2008  commencing quadratic sieve (99-digit input)
Fri Oct 17 14:25:58 2008  using multiplier of 5
Fri Oct 17 14:25:58 2008  using 32kb Intel Core sieve core
Fri Oct 17 14:25:58 2008  sieve interval: 36 blocks of size 32768
Fri Oct 17 14:25:58 2008  processing polynomials in batches of 6
Fri Oct 17 14:25:58 2008  using a sieve bound of 2605289 (95294 primes)
Fri Oct 17 14:25:58 2008  using large prime bound of 390793350 (28 bits)
Fri Oct 17 14:25:58 2008  using double large prime bound of 2920820370574650 (43-52 bits)
Fri Oct 17 14:25:58 2008  using trial factoring cutoff of 52 bits
Fri Oct 17 14:25:58 2008  polynomial 'A' values have 13 factors
Fri Oct 17 14:26:01 2008  restarting with 9655 full and 615376 partial relations
Fri Oct 17 19:59:18 2008  95480 relations (22688 full + 72792 combined from 1444752 partial), need 95390
Fri Oct 17 19:59:22 2008  begin with 1467440 relations
Fri Oct 17 19:59:23 2008  reduce to 252468 relations in 11 passes
Fri Oct 17 19:59:23 2008  attempting to read 252468 relations
Fri Oct 17 19:59:30 2008  recovered 252468 relations
Fri Oct 17 19:59:30 2008  recovered 242508 polynomials
Fri Oct 17 19:59:30 2008  attempting to build 95480 cycles
Fri Oct 17 19:59:30 2008  found 95480 cycles in 6 passes
Fri Oct 17 19:59:30 2008  distribution of cycle lengths:
Fri Oct 17 19:59:30 2008     length 1 : 22688
Fri Oct 17 19:59:30 2008     length 2 : 16361
Fri Oct 17 19:59:30 2008     length 3 : 15836
Fri Oct 17 19:59:30 2008     length 4 : 12998
Fri Oct 17 19:59:30 2008     length 5 : 9880
Fri Oct 17 19:59:30 2008     length 6 : 6778
Fri Oct 17 19:59:30 2008     length 7 : 4489
Fri Oct 17 19:59:30 2008     length 9+: 6450
Fri Oct 17 19:59:30 2008  largest cycle: 19 relations
Fri Oct 17 19:59:31 2008  matrix is 95294 x 95480 (25.1 MB) with weight 6205758 (65.00/col)
Fri Oct 17 19:59:31 2008  sparse part has weight 6205758 (65.00/col)
Fri Oct 17 19:59:31 2008  filtering completed in 3 passes
Fri Oct 17 19:59:31 2008  matrix is 91462 x 91526 (24.2 MB) with weight 5981686 (65.36/col)
Fri Oct 17 19:59:31 2008  sparse part has weight 5981686 (65.36/col)
Fri Oct 17 19:59:32 2008  saving the first 48 matrix rows for later
Fri Oct 17 19:59:32 2008  matrix is 91414 x 91526 (13.5 MB) with weight 4495303 (49.12/col)
Fri Oct 17 19:59:32 2008  sparse part has weight 2988757 (32.65/col)
Fri Oct 17 19:59:32 2008  matrix includes 64 packed rows
Fri Oct 17 19:59:32 2008  using block size 36610 for processor cache size 2048 kB
Fri Oct 17 19:59:33 2008  commencing Lanczos iteration
Fri Oct 17 19:59:33 2008  memory use: 14.1 MB
Fri Oct 17 20:00:21 2008  lanczos halted after 1448 iterations (dim = 91412)
Fri Oct 17 20:00:22 2008  recovered 17 nontrivial dependencies
Fri Oct 17 20:00:22 2008  prp48 factor: 457172000486643298781203262917205228548147422071
Fri Oct 17 20:00:22 2008  prp51 factor: 764125619267224024718139398079281672269351217374681
Fri Oct 17 20:00:22 2008  elapsed time 05:34:27

1580262537786569725372553727321669981525482758855547985590946005188563140610837578431188916339843319915956447890498719664890521061648998787481604483<148>

265985593868700211361992135555305954314323409649102462483859930225459<69>
5941158371782505498596768539671106948764441091331681031338463367290089728487537<79>

SNFS difficulty: 162 digits.
Divisors found:
 r1=265985593868700211361992135555305954314323409649102462483859930225459
 r2=5941158371782505498596768539671106948764441091331681031338463367290089728487537
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
n: 1580262537786569725372553727321669981525482758855547985590946005188563140610837578431188916339843319915956447890498719664890521061648998787481604483
m: 100000000000000000000000000000000
c5: 260
c0: -17
skew: 0.58
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2250000, 3750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 805162 x 805410
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 20.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

40015804032673956426793177377995556955910649250570011850509081244438492540540333850676610741645571858036088889078135323086736656603072425792048061050039<152>

5501286498405655905342717694686972908197<40>
10125694884984205676521560253483207273265641799<47>
718360506293268421227792773673534536293455189801295656412695055613<66>

SNFS difficulty: 163 digits.
Divisors found:
 r1=5501286498405655905342717694686972908197
 r2=10125694884984205676521560253483207273265641799
 r3=718360506293268421227792773673534536293455189801295656412695055613
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.927).
Factorization parameters were as follows:
n: 40015804032673956426793177377995556955910649250570011850509081244438492540540333850676610741645571858036088889078135323086736656603072425792048061050039
m: 100000000000000000000000000000000
c5: 2600
c0: -17
skew: 0.37
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2250000, 3750001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 854525 x 854773
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 20.00 hours.

Msieve-1.38

Opteron-2.6GHz; Linux x86_64

2696937924163873915499411466208160224371945095678310562671479931821566749268091710800593440662904909884913501917257097081579739978257846076233815398997843<154>

7818152593406970277472416624103<31>

344958465819430965530710574646567760779022977241793408151628340601011887317136749920912630213301975588157023174300056198581<123>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2782357100
Step 1 took 14693ms
Step 2 took 13021ms
********** Factor found in step 2: 7818152593406970277472416624103
Found probable prime factor of 31 digits: 7818152593406970277472416624103
Composite cofactor 344958465819430965530710574646567760779022977241793408151628340601011887317136749920912630213301975588157023174300056198581 has 123 digits

GMP-ECM 6.2.1

344958465819430965530710574646567760779022977241793408151628340601011887317136749920912630213301975588157023174300056198581<123>

12764119228429224522971656618663<32>
27025638012775141945475448077100614364122822615878345459713349089216440618643727446116152387<92>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=660598922
Step 1 took 12213ms
********** Factor found in step 1: 12764119228429224522971656618663
Found probable prime factor of 32 digits: 12764119228429224522971656618663
Probable prime cofactor 27025638012775141945475448077100614364122822615878345459713349089216440618643727446116152387 has 92 digits

GMP-ECM 6.2.1

32865630135254708633548223991909998735937302490203514094299077234230817848565288838326380988497029452660851978258121602831500442421944128428770066995322968019213753<164>

1471197411837404676000587813206308006550640281066939<52>
22339374628322814429464629999793314774821231845019922359202585861305762667563370954938494467079355549589396537627<113>

SNFS difficulty: 167 digits.
Divisors found:
 r1=1471197411837404676000587813206308006550640281066939
 r2=22339374628322814429464629999793314774821231845019922359202585861305762667563370954938494467079355549589396537627
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.953).
Factorization parameters were as follows:
n: 32865630135254708633548223991909998735937302490203514094299077234230817848565288838326380988497029452660851978258121602831500442421944128428770066995322968019213753
m: 1000000000000000000000000000000000
c5: 260
c0: -17
skew: 0.58
type: snfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [2750000, 4950001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 951798 x 952046
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,54,54,2.6,2.6,100000
total time: 40.00 hours.

Msieve-1.38

Opteron-2.8GHz; Linux x86_64

12271673742223879146119302921287351987225723768693572415492792094221612528875452222509963796606702569982599797468379627090212002056147005375530500792715589<155>

691786150359227305260342651851<30>
946812596364691311451086016834132866784096017745846067579369<60>
18735613134758722493314686248856404802936412322699495052983347031<65>

Number: 28887_168
N=12271673742223879146119302921287351987225723768693572415492792094221612528875452222509963796606702569982599797468379627090212002056147005375530500792715589
  ( 155 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=691786150359227305260342651851 (pp30)
 r2=946812596364691311451086016834132866784096017745846067579369 (pp60)
 r3=18735613134758722493314686248856404802936412322699495052983347031 (pp65)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 138.68 hours.
Scaled time: 139.93 units (timescale=1.009).
Factorization parameters were as follows:
name: 28887_168
n: 12271673742223879146119302921287351987225723768693572415492792094221612528875452222509963796606702569982599797468379627090212002056147005375530500792715589
m: 2000000000000000000000000000000000
c5: 1625
c0: -34
skew: 0.46
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [3000000, 7900001)
Primes: RFBsize:412849, AFBsize:412476, largePrimes:6178678 encountered
Relations: rels:6457589, finalFF:939587
Max relations in full relation-set: 28
Initial matrix: 825391 x 939587 with sparse part having weight 63700451.
Pruned matrix : 733378 x 737568 with weight 48023686.
Total sieving time: 134.15 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 4.29 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000
total time: 138.68 hours.
 --------- CPU info (if available) ----------

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

10677679240318532826005039240904534167670916978865045544602156351658099538686729192353536173985744815156709537329573088930949887741<131>

48109016865913520195095540051309093<35>
221947566920328070216344062694348500510850700259673035094854433728769797473984579418247370694137<96>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2805974126
Step 1 took 5226ms
Step 2 took 3003ms
********** Factor found in step 2: 48109016865913520195095540051309093
Found probable prime factor of 35 digits: 48109016865913520195095540051309093
Probable prime cofactor 221947566920328070216344062694348500510850700259673035094854433728769797473984579418247370694137 has 96 digits

GMP-ECM 6.2.1

27773231513010531676806997508834162293990971944311745383468612502175567406803821638563467475456350783538064197649005979<119>

79595740428624758405274066235447<32>
605333788407412819438944577230313913<36>
576423491058992736416957914655421765461285925809189<51>

Number: 28887_172
N=27773231513010531676806997508834162293990971944311745383468612502175567406803821638563467475456350783538064197649005979
  ( 119 digits)
Divisors found:
 r1=79595740428624758405274066235447 (pp32)
 r2=605333788407412819438944577230313913 (pp36)
 r3=576423491058992736416957914655421765461285925809189 (pp51)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 94.00 hours.
Scaled time: 44.46 units (timescale=0.473).
Factorization parameters were as follows:
name: 28887_172
n: 27773231513010531676806997508834162293990971944311745383468612502175567406803821638563467475456350783538064197649005979
skew: 37008.98
# norm 3.26e+16
c5: 55440
c4: 3164058222
c3: 1264562398005151
c2: -4105551205117045627
c1: -550046594059784674117371
c0: -1001973857328021287339465895
# alpha -6.55
Y1: 524543343403
Y0: -54949100966099077885304
# Murphy_E 3.50e-10
# M 6977594599683708295921293182066515609590231586712473955854354315894030466074015681292072989429107770858219365562363712
type: gnfs
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2250000, 4170001)
Primes: RFBsize:315948, AFBsize:315849, largePrimes:7625017 encountered
Relations: rels:7651561, finalFF:714486
Max relations in full relation-set: 28
Initial matrix: 631882 x 714486 with sparse part having weight 61493390.
Pruned matrix : 563522 x 566745 with weight 43154206.
Total sieving time: 77.23 hours.
Total relation processing time: 0.94 hours.
Matrix solve time: 15.34 hours.
Time per square root: 0.48 hours.
Prototype def-par.txt line would be:
gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000
total time: 94.00 hours.
 --------- CPU info (if available) ----------

Pentium 4 2.4GHz, Windows XP and Cygwin)

127679151942693728206021113439808513462081475775475615214415429600954901928788362016440862567483214318764393846123460096592454169773<132>

333421341979068916546519038846193733716819<42>
382936350699197296494228208288801846939571547135265957954115629647469996359944562538119167<90>

Number: 28887_175
N=127679151942693728206021113439808513462081475775475615214415429600954901928788362016440862567483214318764393846123460096592454169773
  ( 132 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=333421341979068916546519038846193733716819 (pp42)
 r2=382936350699197296494228208288801846939571547135265957954115629647469996359944562538119167 (pp90)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 309.56 hours.
Scaled time: 312.35 units (timescale=1.009).
Factorization parameters were as follows:
name: 28887_175
n: 127679151942693728206021113439808513462081475775475615214415429600954901928788362016440862567483214318764393846123460096592454169773
m: 100000000000000000000000000000000000
c5: 26
c0: -17
skew: 0.92
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, 15000001)
Primes: RFBsize:501962, AFBsize:501686, largePrimes:6831540 encountered
Relations: rels:7367937, finalFF:1178170
Max relations in full relation-set: 28
Initial matrix: 1003714 x 1178170 with sparse part having weight 96796142.
Pruned matrix : 860913 x 865995 with weight 75896054.
Total sieving time: 301.51 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 7.74 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 309.56 hours.
 --------- CPU info (if available) ----------

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

54893137039612879596184897392530603975543294236018838293195344236899356693945768816826702494078297548438412058402012173090931238202908873267687<143>

5568917968267078138899173830351221759908557861721<49>
9857056137728383106952550168939175812236563857884385884810595206543334545507467963339269590847<94>

Number: 28887_179
N=54893137039612879596184897392530603975543294236018838293195344236899356693945768816826702494078297548438412058402012173090931238202908873267687
  ( 143 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=5568917968267078138899173830351221759908557861721 (pp49)
 r2=9857056137728383106952550168939175812236563857884385884810595206543334545507467963339269590847 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 548.54 hours.
Scaled time: 553.48 units (timescale=1.009).
Factorization parameters were as follows:
name: 28887_179
n: 54893137039612879596184897392530603975543294236018838293195344236899356693945768816826702494078297548438412058402012173090931238202908873267687
m: 1000000000000000000000000000000000000
c5: 13
c0: -85
skew: 1.46
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, 11000001)
Primes: RFBsize:501962, AFBsize:501546, largePrimes:6747299 encountered
Relations: rels:7249285, finalFF:1172045
Max relations in full relation-set: 28
Initial matrix: 1003573 x 1172045 with sparse part having weight 87126144.
Pruned matrix : 865254 x 870335 with weight 67813684.
Total sieving time: 540.27 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 7.96 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000
total time: 548.54 hours.
 --------- CPU info (if available) ----------

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

2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<184>

571191356051002418872131436996090915923457383067405912592086693050165007850808002169422749<90>
5057655124302924926840820612415887462963794902802707794326442625485636705143562806846593819363<94>

Number: 28887_183
N=2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 184 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=571191356051002418872131436996090915923457383067405912592086693050165007850808002169422749 (pp90)
 r2=5057655124302924926840820612415887462963794902802707794326442625485636705143562806846593819363 (pp94)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 296.85 hours.
Scaled time: 704.43 units (timescale=2.373).
Factorization parameters were as follows:
n: 2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 10000000000000000000000000000000000000
c5: 13
c0: -850
skew: 2.31
type: snfs
Factor base limits: 12000000/12000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 51/51
Sieved algebraic special-q in [6000000, 11300001)
Primes: RFBsize:788060, AFBsize:788454, largePrimes:12608406 encountered
Relations: rels:13159127, finalFF:1768281
Max relations in full relation-set: 28
Initial matrix: 1576580 x 1768281 with sparse part having weight 117863959.
Pruned matrix : 1406297 x 1414243 with weight 86507487.
Total sieving time: 280.09 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 16.38 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,12000000,12000000,28,28,51,51,2.6,2.6,100000
total time: 296.85 hours.
 --------- CPU info (if available) ----------

Core 2 Quad Q6700

35900509745814725477777101191247952807951465824716865797128704846306465806076216506032597386691432495235933317288567054626906023649875031706363655318101299363718696308889090484059<179>

1320609859565989645500044320598167223<37>

27184796089295598978415391289548696133680825116303565800551982812921189048358167264993631889810511264157528029387662330821692327090836318455933<143>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1909449008
Step 1 took 24466ms
Step 2 took 16501ms
********** Factor found in step 2: 1320609859565989645500044320598167223
Found probable prime factor of 37 digits: 1320609859565989645500044320598167223
Composite cofactor 27184796089295598978415391289548696133680825116303565800551982812921189048358167264993631889810511264157528029387662330821692327090836318455933 has 143 digits

GMP-ECM 6.2.1

27184796089295598978415391289548696133680825116303565800551982812921189048358167264993631889810511264157528029387662330821692327090836318455933<143>

39726525073084482231811855145440261<35>
56769868243326996068138076631635363450932003<44>
12053900854975104886597626247097584098530293555309152172407068051<65>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=256027446
Step 1 took 16789ms
Step 2 took 6973ms
********** Factor found in step 2: 39726525073084482231811855145440261
Found probable prime factor of 35 digits: 39726525073084482231811855145440261
Composite cofactor 684298363355063333642555758168215010234133442839727629725412662662234710551914240510334161494408040594736153 has 108 digits

N=684298363355063333642555758168215010234133442839727629725412662662234710551914240510334161494408040594736153
  ( 108 digits)
Divisors found:
 r1=56769868243326996068138076631635363450932003 (pp44)
 r2=12053900854975104886597626247097584098530293555309152172407068051 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 15.48 hours.
Scaled time: 29.01 units (timescale=1.874).
Factorization parameters were as follows:
n: 684298363355063333642555758168215010234133442839727629725412662662234710551914240510334161494408040594736153
skew: 61964470.54
c0: -140299693382763239909406933704895
c1: 3497004423300651718545890
c2: 64016169152911451
c3: -313303630
c4: 24
Y0: -410921327052558775737691684
Y1: 33945968819123
rlim: 2920000
alim: 2920000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 2920000/2920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1460000, 3460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 514893 x 515119
Total sieving time: 15.06 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,107,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2920000,2920000,26,26,52,52,2.5,2.5,150000
total time: 15.48 hours.
 --------- CPU info (if available) ----------

808418903045996618109740484168530339739363215530980934560191667022315275004785601025561743763166140982602766078260277274901559183969544068350933426356133<153>

146203648118672203771476839521743508125823598003164107077<57>
5529403085686413025689548226969862116538460730222913935956926371335284404156153721034793787861729<97>

N=808418903045996618109740484168530339739363215530980934560191667022315275004785601025561743763166140982602766078260277274901559183969544068350933426356133
  ( 153 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=146203648118672203771476839521743508125823598003164107077 (pp57)
 r2=5529403085686413025689548226969862116538460730222913935956926371335284404156153721034793787861729 (pp97)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 212.29 hours.
Scaled time: 405.90 units (timescale=1.912).
Factorization parameters were as follows:
n: 808418903045996618109740484168530339739363215530980934560191667022315275004785601025561743763166140982602766078260277274901559183969544068350933426356133
m: 10000000000000000000000000000000000000
deg: 5
c5: 260
c0: -17
skew: 0.58
# Murphy_E = 4.659e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4650000, 14850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2001979 x 2002209
Total sieving time: 207.63 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 4.17 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,187.000,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 212.29 hours.
 --------- CPU info (if available) ----------

21347619406153647254790230612510092041416112185292390447046220545881420796405389716463093399938207657939861288581548344313492393873318775113940644674794811179691<161>

308558625109499251401820985922667799129<39>
69184970598627553405721583020567880328939767088659245846281753528690243836282372708043882582675957484334049718542087996579<122>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1892484777
Step 1 took 19429ms
Step 2 took 7947ms
********** Factor found in step 2: 308558625109499251401820985922667799129
Found probable prime factor of 39 digits: 308558625109499251401820985922667799129

15414638266408339951323984387721773155252815502067007572766414636316980146812770209671083451811386044716354282159269859999847706003798607445293482414929520947276398059<167>

533297296570573523315660732356450770443264236345308877494618917560096710216857<78>
28904399788886712683528124392194042526162484033714078211163891465331480183647428868279587<89>

15414638266408339951323984387721773155252815502067007572766414636316980146812770209671083451811386044716354282159269859999847706003798607445293482414929520947276398059=533297296570573523315660732356450770443264236345308877494618917560096710216857*28904399788886712683528124392194042526162484033714078211163891465331480183647428868279587

cado polynomial
n: 15414638266408339951323984387721773155252815502067007572766414636316980146812770209671083451811386044716354282159269859999847706003798607445293482414929520947276398059
skew: 0.58
type: snfs
c0: -17
c5: 260
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 260*x^5-17
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11300000
tasks.lim1 = 11300000
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: 28904399788886712683528124392194042526162484033714078211163891465331480183647428868279587 533297296570573523315660732356450770443264236345308877494618917560096710216857
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.79/1.91295
Info:Generate Free Relations: Total cpu/real time for freerel: 102.48/26.3022
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28331288
Info:Lattice Sieving: Average J: 1893.75 for 2868372 special-q, max bucket fill -bkmult 1.0,1s:1.119440
Info:Lattice Sieving: Total time: 743623s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.53/164.045
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 162.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 476.04/548.787
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 485.19999999999993s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 397.83/513.752
Info:Filtering - Merging: Merged matrix has 2374211 rows and total weight 404649554 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 327.56/123.716
Info:Filtering - Merging: Total cpu/real time for replay: 90.31/77.7046
Info:Linear Algebra: Total cpu/real time for bwc: 97408.4/24901.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15844.02, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (74240 iterations)
Info:Linear Algebra: Lingen CPU time 473.46, WCT time 137.5
Info:Linear Algebra: Mksol: WCT time 8687.58, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37376 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 82.94/35.1675
Info:Square Root: Total cpu/real time for sqrt: 1785.87/542.677
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.43038e+06/56138.3
Info:root: Cleaning up computation data in /tmp/cado.gu3g1tct
28904399788886712683528124392194042526162484033714078211163891465331480183647428868279587 533297296570573523315660732356450770443264236345308877494618917560096710216857

cado-nfs-3.0.0

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

888842675025580461483988862925501522172396431458538302704098619756709429980641051458342340505127591232656653596306171850032534698056438606258306081122557140104042506384936460360569<180>

82042192357926772102610496389810561633<38>

10833970296013207989084662536581651616879108714184793508692814128673265107095600617603313406072713756279265813854583416619917872689578064723993<143>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=652635297
Step 1 took 9334ms
Step 2 took 4332ms
********** Factor found in step 2: 82042192357926772102610496389810561633
Found probable prime factor of 38 digits: 82042192357926772102610496389810561633
Composite cofactor 10833970296013207989084662536581651616879108714184793508692814128673265107095600617603313406072713756279265813854583416619917872689578064723993 has 143 digits

GMP-ECM 6.2.1

10833970296013207989084662536581651616879108714184793508692814128673265107095600617603313406072713756279265813854583416619917872689578064723993<143>

646339692493393337747248290139367<33>
23347548471027891222391051218682713727291<41>
717935663614141323476198407218450614415097949778852880550482361549069<69>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2198108180
Step 1 took 7098ms
Step 2 took 3284ms
********** Factor found in step 2: 646339692493393337747248290139367
Found probable prime factor of 33 digits: 646339692493393337747248290139367
Composite cofactor 16762037705310739694160961481530313246498654277376477496854405204777871932916995964594549612157158757580942079 has 110 digits

Number: 28883_192
N=16762037705310739694160961481530313246498654277376477496854405204777871932916995964594549612157158757580942079
  ( 110 digits)
Divisors found:
 r1=23347548471027891222391051218682713727291
 r2=717935663614141323476198407218450614415097949778852880550482361549069
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.729).
Factorization parameters were as follows:
name: 28883_192
n: 16762037705310739694160961481530313246498654277376477496854405204777871932916995964594549612157158757580942079
skew: 19634.27
# norm 1.15e+15
c5: 23760
c4: -732510172
c3: -74628572677882
c2: 291776264655235985
c1: 6237779486097660130452
c0: -18038503918973282230456943
# alpha -5.40
Y1: 313275396047
Y0: -932603358146879780640
# Murphy_E 1.05e-09
# M 5809571181138759701044419189937894699342167502695450717956767491143381064004365373882245868097473045576903676
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 3000001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 406475 x 406723
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 10.00 hours.

GMP-ECM 6.2.1; Msieve-1.38/gnfs

Opteron-2.6GHz; Linux x86_64

15626596467187152533612207977978519440087028121863411526417963373661972677497100064309454691885589272942548217065445388050461886130193589489310806993502942007296418504294308913771238648179201<191>

7424577444081465199644878390221956376139<40>
96942856703978898224609908436953202767406259931799891<53>
21710850776123173933795522336376573592096102085576350141569591485808016975406800565073205663702449<98>

Number: n
N=15626596467187152533612207977978519440087028121863411526417963373661972677497100064309454691885589272942548217065445388050461886130193589489310806993502942007296418504294308913771238648179201
  ( 191 digits)
SNFS difficulty: 195 digits.
Divisors found:

Mon Feb  8 02:17:59 2010  prp40 factor: 7424577444081465199644878390221956376139
Mon Feb  8 02:17:59 2010  prp53 factor: 96942856703978898224609908436953202767406259931799891
Mon Feb  8 02:17:59 2010  prp98 factor: 21710850776123173933795522336376573592096102085576350141569591485808016975406800565073205663702449
Mon Feb  8 02:17:59 2010  elapsed time 13:12:48 (Msieve 1.42 - dependency 8)

Version: 
Total time: 22.94 hours.
Scaled time: 19.25 units (timescale=0.839).
Factorization parameters were as follows:
name: KA_2_8_193_7
n: 15626596467187152533612207977978519440087028121863411526417963373661972677497100064309454691885589272942548217065445388050461886130193589489310806993502942007296418504294308913771238648179201
m: 200000000000000000000000000000000000000
deg: 5
c5: 8125
c0: -17
skew: 0.29
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 12829741)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3708118 hash collisions in 27212519 relations
Msieve: matrix is 2008813 x 2009038 (537.6 MB)

Total sieving time: 22.94 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,56,56,2.5,2.5,100000
total time: 22.94 hours.
 --------- CPU info (if available) ----------

125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169<195>

16387913092815080088799706325752575559733136683692971560249525931029829007<74>
7664420968242000729840063963573618783981209238122361233171156686202207659037578930162203115556226303477752467991137793167<121>

Number: n
N=125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169
  ( 195 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat May  2 15:22:30 2009  prp74 factor: 16387913092815080088799706325752575559733136683692971560249525931029829007
Sat May  2 15:22:30 2009  prp121 factor: 7664420968242000729840063963573618783981209238122361233171156686202207659037578930162203115556226303477752467991137793167
Sat May  2 15:22:30 2009  elapsed time 06:44:20 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20050930-k8
Total time: 10.92 hours.
Scaled time: 15.98 units (timescale=1.464).
Factorization parameters were as follows:
name: KA_2_8_194_7
n: 125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169
m: 1000000000000000000000000000000000000000
deg: 5
c5: 26
c0: -17
skew: 0.92
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [6550000, 8109131)
Primes: RFBsize:855281, AFBsize:853884, largePrimes:21946999 encountered
Relations: rels:23351118, finalFF:1445023
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3003984 hash collisions in 25646907 relations
Msieve: matrix is 2161958 x 2162206 (577.1 MB)

Total sieving time: 10.47 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,56,56,2.5,2.5,100000
total time: 10.92 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: 3368968k/3407296k available (2747k kernel code, 36968k reserved, 1425k data, 416k init, 2489792k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.99 BogoMIPS (lpj=2830496)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830446)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Calibrating delay using timer specific routine.. 5660.90 BogoMIPS (lpj=2830453)
Total of 4 processors activated (22643.70 BogoMIPS).

330774205700998249476692959941555704658466062063805847913606549041809501846875631869710994942225870064045353512619369504154228803575903<135>

31939879173910580438400878878759<32>
10356150813844787900834823060533787167148150203266154500522047784924543502448871053345793359278564043017<104>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=847032883
Step 1 took 10326ms
Step 2 took 4807ms
********** Factor found in step 2: 31939879173910580438400878878759
Found probable prime factor of 32 digits: 31939879173910580438400878878759
Probable prime cofactor 10356150813844787900834823060533787167148150203266154500522047784924543502448871053345793359278564043017 has 104 digits

GMP-ECM 6.2.1

54368201646957887734820638765823985629095501422642461653111790827676014411937243777882224110117103445627220136026480165697003207075054264785300397035345734252233868873<167>

2630071814431440520655524777144479897286946117024927<52>
20671755557637124943604273633626776338319284059976477030181838165102003024051822815647301406619865210550954728549399<116>

Number: n
N=54368201646957887734820638765823985629095501422642461653111790827676014411937243777882224110117103445627220136026480165697003207075054264785300397035345734252233868873  ( 167 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Mar 27 19:33:31 2021  p52 factor: 2630071814431440520655524777144479897286946117024927
Sat Mar 27 19:33:31 2021  p116 factor: 20671755557637124943604273633626776338319284059976477030181838165102003024051822815647301406619865210550954728549399
Sat Mar 27 19:33:31 2021  elapsed time 01:24:48 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 26x10^198-17 = 28(197)7
#
n: 54368201646957887734820638765823985629095501422642461653111790827676014411937243777882224110117103445627220136026480165697003207075054264785300397035345734252233868873
m: 1000000000000000000000000000000000000000
deg: 5
c5: 26000
c0: -17
skew: 0.23
# Murphy_E = 1.487e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3870079 hash collisions in 28309882 relations (25896053 unique)
Msieve: matrix is 1923938 x 1924163 (672.4 MB)

Sieving start time : 2021/03/27 11:12:51
Sieving end time  : 2021/03/27 18:08:11

Total sieving time: 6hrs 55min 20secs.

Total relation processing time: 1hrs 13min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 7sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153515] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944)
[    0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)

434891127539043234434097688355506321883081354794903581997982135948193342154597814130963867346065561390610398241642469260340387383865763636682500288238670789785148018098383482215535023<183>

1245502778215280365687705374277619306904568259<46>
349169134863121096462062859479802778230676324325224197726362311978983940203604020047553120414541176159190077653658736698772034448950732197<138>

N=434891127539043234434097688355506321883081354794903581997982135948193342154597814130963867346065561390610398241642469260340387383865763636682500288238670789785148018098383482215535023
  ( 183 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=1245502778215280365687705374277619306904568259 (pp46)
 r2=349169134863121096462062859479802778230676324325224197726362311978983940203604020047553120414541176159190077653658736698772034448950732197 (pp138)
Version: Msieve v. 1.49
Total time:
Scaled time: 60.98 units (timescale=0.467).
Factorization parameters were as follows:
n: 434891127539043234434097688355506321883081354794903581997982135948193342154597814130963867346065561390610398241642469260340387383865763636682500288238670789785148018098383482215535023
m: 2000000000000000000000000000000000000000
deg: 5
c5: 8125
c0: -17
skew: 0.29
type: snfs
lss: 1
rlim: 15300000
alim: 15300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15300000/15300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7650000, 19490001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3526162 x 3526389
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15300000,15300000,29,29,56,56,2.6,2.6,100000
total time:

86724628332038997432957422509067627919431227697844238744759252699840768143997997059157125031748229330015386794466337924642248697959498023453223477174052216414219170692094887<173>

11017491137972072258902161720782163991151072600037442311439102020692038783<74>
7871540557281710951686387440367282404549787631036199455153879978434456028112484559193138176493110489<100>

Number: n
N=86724628332038997432957422509067627919431227697844238744759252699840768143997997059157125031748229330015386794466337924642248697959498023453223477174052216414219170692094887
  ( 173 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Oct  8 16:40:44 2012  prp74 factor: 11017491137972072258902161720782163991151072600037442311439102020692038783
Mon Oct  8 16:40:44 2012  prp100 factor: 7871540557281710951686387440367282404549787631036199455153879978434456028112484559193138176493110489
Mon Oct  8 16:40:44 2012  elapsed time 06:07:22 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.083).
Factorization parameters were as follows:
name: KA_28887_200
n: 86724628332038997432957422509067627919431227697844238744759252699840768143997997059157125031748229330015386794466337924642248697959498023453223477174052216414219170692094887
m: 10000000000000000000000000000000000000000
#  c173, diff: 201.41
skew: 0.919
deg: 5
c5: 26
c0: -17
# Murphy_E = 1.338e-11
type: snfs
lss: 1
rlim: 15900000
alim: 15900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 15900000/15900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26950000)
Primes: RFBsize:1025092, AFBsize:1024131,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10232298 hash collisions in 66730217 relations (59037065 unique)
Msieve: matrix is 1998328 x 1998555 (563.4 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15900000,15900000,29,29,56,56,2.6,2.6,100000
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: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

652526187971680960073559273979976928659024944718191394691270632541234278787590360979253033587788699620665989006329336066397045069200694676403931650663616382217166579133457<171>

57376113797770784905323240209380648194453391<44>
28468038779581211203444693218745168148380424152377628703164769<62>
399493086531551850623102144150873625714876842477004943060850817983<66>

#
# N = 26x10^201-17 = 28(200)7
#
n: 652526187971680960073559273979976928659024944718191394691270632541234278787590360979253033587788699620665989006329336066397045069200694676403931650663616382217166579133457
m: 10000000000000000000000000000000000000000
deg: 5
c5: 260
c0: -17
skew: 0.58
# Murphy_E = 1.116e-11
type: snfs
lss: 1
rlim: 16500000
alim: 16500000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 652526187971680960073559273979976928659024944718191394691270632541234278787590360979253033587788699620665989006329336066397045069200694676403931650663616382217166579133457 (171 digits)
Using B1=38900000, B2=192392390206, polynomial Dickson(12), sigma=1:3312068165
Step 1 took 91597ms
********** Factor found in step 1: 57376113797770784905323240209380648194453391
Found prime factor of 44 digits: 57376113797770784905323240209380648194453391
Composite cofactor 11372784679554810548178525368038805674942193874891596270553626326778783471298026266992256065863150888744440697350602694477240927 has 128 digits



CADO


STA:Sun 08 Aug 2021 13:47:02 AEST (11,372,784,679,554,810,548,178,525,368,038,805,674,942,193,874,891,596,270,553,626,326,778,783,471,298,026,266,992,256,065,863,150,888,744,440,697,350,602,694,477,240,927 - C128)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 11372784679554810548178525368038805674942193874891596270553626326778783471298026266992256065863150888744440697350602694477240927 2>&1 | tee -a log40

Debug:root: Looking for parameter file for c128 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.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.u856v_1o
Info:Database: Opened connection to database /tmp/cado.u856v_1o/c130.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 11372784679554810548178525368038805674942193874891596270553626326778783471298026266992256065863150888744440697350602694477240927
Debug:root: Root parameter dictionary:
N = 11372784679554810548178525368038805674942193874891596270553626326778783471298026266992256065863150888744440697350602694477240927
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 11372784679554810548178525368038805674942193874891596270553626326778783471298026266992256065863150888744440697350602694477240927
skew: 24774.992
c0: -8435250390575186555672543166
c1: 106421797082574352301769
c2: 359009105206724808354
c3: -125151598348621
c4: -252537191120
c5: 2116800
Y0: -3371884942842973827688277
Y1: 393343906746519973
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.21e-09
# f(x) = 2116800*x^5-252537191120*x^4-125151598348621*x^3+359009105206724808354*x^2+106421797082574352301769*x-8435250390575186555672543166
# g(x) = 393343906746519973*x-3371884942842973827688277
...
Info:Square Root: Factors: 399493086531551850623102144150873625714876842477004943060850817983 28468038779581211203444693218745168148380424152377628703164769
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1646.98/226.234
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38632/38.080/45.326/50.500/0.876
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38632/35.600/40.682/46.110/1.021
Info:Polynomial Selection (size optimized): Total time: 5834.13
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1766.19
Info:Polynomial Selection (root optimized): Rootsieve time: 1765.33
Info:Generate Factor Base: Total cpu/real time for makefb: 60.34/5.43272
Info:Generate Free Relations: Total cpu/real time for freerel: 309.91/20.7541
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19148746
Info:Lattice Sieving: Average J: 7606.46 for 64693 special-q, max bucket fill: 0.653638
Info:Lattice Sieving: Total CPU time: 210490s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.24/70.6946
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 70.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 328.11/100.021
Info:Filtering - Singleton removal: Total cpu/real time for purge: 205.54/79.4814
Info:Filtering - Merging: Total cpu/real time for merge: 826.8/747.841
Info:Filtering - Merging: Total cpu/real time for replay: 65.32/54.8164
Info:Linear Algebra: Total cpu/real time for bwc: 44715.9/0.000205755
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2373.16
Info:Linear Algebra: Lingen CPU time 544.11, WCT time 50.25
Info:Linear Algebra: Mksol: WCT time 1327.79
Info:Quadratic Characters: Total cpu/real time for characters: 56.19/14.9785
Info:Square Root: Total cpu/real time for sqrt: 1646.98/226.234
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 266355/19825.6
Info:root: Cleaning up computation data in /tmp/cado.u856v_1o
399493086531551850623102144150873625714876842477004943060850817983 28468038779581211203444693218745168148380424152377628703164769

END:Sun 08 Aug 2021 19:17:29 AEST (11,372,784,679,554,810,548,178,525,368,038,805,674,942,193,874,891,596,270,553,626,326,778,783,471,298,026,266,992,256,065,863,150,888,744,440,697,350,602,694,477,240,927 - C128)

100672531228812788199320770175840063872849044249836697538285570025295909481455151742544715059952428356973954080160890192985370345202237563167173320540177826410354402158109307911195985798977864046393<198>

129797485565316576138335938787553938939<39>

775612337868844507616271572284373761381973575256362313544270876107000293028543916178363902529711692579369109164356752919211141934170017178762799324790822743387<159>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1776639700
Step 1 took 25697ms
Step 2 took 8377ms
********** Factor found in step 2: 129797485565316576138335938787553938939
Found probable prime factor of 39 digits: 129797485565316576138335938787553938939
Composite cofactor 775612337868844507616271572284373761381973575256362313544270876107000293028543916178363902529711692579369109164356752919211141934170017178762799324790822743387 has 159 digits

GMP-ECM 6.2.1

775612337868844507616271572284373761381973575256362313544270876107000293028543916178363902529711692579369109164356752919211141934170017178762799324790822743387<159>

138707643516640206888361328176266111238351940188110673198570910786731157<72>
5591705822439391134721609412208163421421927862618861640308073552024093670767727265273391<88>

Number: n
N=775612337868844507616271572284373761381973575256362313544270876107000293028543916178363902529711692579369109164356752919211141934170017178762799324790822743387  ( 159 digits)
SNFS difficulty: 203 digits.
Divisors found:

Fri Apr 19 12:55:48 2024  prp72 factor: 138707643516640206888361328176266111238351940188110673198570910786731157
Fri Apr 19 12:55:48 2024  prp88 factor: 5591705822439391134721609412208163421421927862618861640308073552024093670767727265273391
Fri Apr 19 12:55:48 2024  elapsed time 02:36:22 (Msieve 1.44 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.940).
Factorization parameters were as follows:
#
# N = 26x10^202-17 = 28(201)7
#
n: 775612337868844507616271572284373761381973575256362313544270876107000293028543916178363902529711692579369109164356752919211141934170017178762799324790822743387
m: 10000000000000000000000000000000000000000
deg: 5
c5: 2600
c0: -17
skew: 0.37
# Murphy_E = 1.041e-11
type: snfs
lss: 1
rlim: 17200000
alim: 17200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17200000/17200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 5400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4308802 hash collisions in 21011409 relations (16910481 unique)
Msieve: matrix is 2093410 x 2093635 (591.4 MB)

Sieving start time: 2024/04/18 19:23:04
Sieving end time  : 2024/04/19 10:18:58

Total sieving time: 14hrs 55min 54secs.

Total relation processing time: 2hrs 7min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 23min 20sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17200000,17200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1215095726717624108313042811163489589367050988054670746983203695328134019542140905673514545375797126634777813069355225401443615953964939157714410100337386839565981403<166>

86055174648013900696971045542362789315282878174819092275448609<62>
14119961195682353465569120378388953711566837776481035639293583159430996415670055008144601392253366009467<104>

Number: n
N=1215095726717624108313042811163489589367050988054670746983203695328134019542140905673514545375797126634777813069355225401443615953964939157714410100337386839565981403  ( 166 digits)
SNFS difficulty: 206 digits.
Divisors found:

Mon Feb 12 10:47:32 2024  prp62 factor: 86055174648013900696971045542362789315282878174819092275448609
Mon Feb 12 10:47:32 2024  prp104 factor: 14119961195682353465569120378388953711566837776481035639293583159430996415670055008144601392253366009467
Mon Feb 12 10:47:32 2024  elapsed time 04:12:21 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.103).
Factorization parameters were as follows:
#
# N = 26x10^205-17 = 28(204)7
#
n: 1215095726717624108313042811163489589367050988054670746983203695328134019542140905673514545375797126634777813069355225401443615953964939157714410100337386839565981403
m: 100000000000000000000000000000000000000000
deg: 5
c5: 26
c0: -17
skew: 0.92
# Murphy_E = 8.246e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 92850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3631391 hash collisions in 19407711 relations (16507286 unique)
Msieve: matrix is 2778132 x 2778357 (780.3 MB)

Sieving start time: 2024/02/10 12:02:42
Sieving end time  : 2024/02/12 06:34:36

Total sieving time: 42hrs 31min 54secs.

Total relation processing time: 4hrs 3min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 58sec.

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

46472529106448995331934427626939172287170872074242604005388510949874081185891099698519820891891966339500455445721254881246943322292810178109514009951444332317334766370684595512546358931215929293<194>

355639744382808086024392934891209<33>
130673047207081265460635647114111966357316898179108665720730511209685468384688647802347456320876940256415943315494598305325649348317654295398265653258184404571877<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1848711461
Step 1 took 27124ms
Step 2 took 10013ms
********** Factor found in step 2: 355639744382808086024392934891209
Found probable prime factor of 33 digits: 355639744382808086024392934891209

26257619060509078698423832223648022359169356697024918833232381470868472656858500027615699000764896770181663106088879014874992564746851574225121752549760724839914269923313480989<176>

72210122201316243425321101503931<32>

363627954918908249590233505362365987734464926998343690040005604857186310205194619896831989280311241466149468789226533209652761752537853959917319<144>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=367222766
Step 1 took 22893ms
********** Factor found in step 1: 72210122201316243425321101503931
Found probable prime factor of 32 digits: 72210122201316243425321101503931

363627954918908249590233505362365987734464926998343690040005604857186310205194619896831989280311241466149468789226533209652761752537853959917319<144>

167604250340433002812365720433021631473<39>

2169562849273317675548000504171346168972921580622035825893609266613552805426020364554201569295942099997303<106>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2320971687
Step 1 took 19422ms
Step 2 took 13063ms
********** Factor found in step 2: 167604250340433002812365720433021631473
Found probable prime factor of 39 digits: 167604250340433002812365720433021631473
Composite cofactor 2169562849273317675548000504171346168972921580622035825893609266613552805426020364554201569295942099997303 has 106 digits

GMP-ECM 7.0

2169562849273317675548000504171346168972921580622035825893609266613552805426020364554201569295942099997303<106>

43510582515128436274679352982674484830622431951859351<53>
49862877577402470069117765515402250006170834663806753<53>

N=2169562849273317675548000504171346168972921580622035825893609266613552805426020364554201569295942099997303
  ( 106 digits)
Divisors found:
 r1=43510582515128436274679352982674484830622431951859351 (pp53)
 r2=49862877577402470069117765515402250006170834663806753 (pp53)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 13.01 hours.
Scaled time: 11.41 units (timescale=0.877).
Factorization parameters were as follows:
name: cc106
n: 2169562849273317675548000504171346168972921580622035825893609266613552805426020364554201569295942099997303
skew: 8227.92
# norm 9.05e+13
c5: 31680
c4: 189869708
c3: 2090478413240
c2: -56585678603724567
c1: -220427147386116133150
c0: 516446975066150477314485
# alpha -5.06
Y1: 126066061123
Y0: -146932194785776686062
# Murphy_E 1.73e-09
# M 1175844712261997312316008542701044469544151278200590674875005715146514814165203456741287930414430341638840
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 300418 x 300643
Polynomial selection time: 0.84 hours.
Total sieving time: 11.46 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.38 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 13.01 hours.
 --------- CPU info (if available) ----------

148931781524285660722633559133490402078974868864289217480463112157982030964889229665104634755820261834492553263540536188807603890733267229<138>

45557454282911934261946470885599<32>
3269097974601891261004202407774318301780561921654158212796248651242113204539578928019048257688185189290371<106>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2413918756
Step 1 took 16394ms
Step 2 took 6993ms
********** Factor found in step 2: 45557454282911934261946470885599
Found probable prime factor of 32 digits: 45557454282911934261946470885599

5468361252861951633631280728953861290277808670312196011950541794269249055437195274409932208559740334392507567607095891952913340762843574449916367<145>

74207680770064410552062866433509697249818521238293638154766316271571<68>
73689963035038067292379843857193647885153003901299074142554550587390322787477<77>

PID1184 2020-04-02 04:20:02,543 Debug:root: Root parameter dictionary:
N = 5468361252861951633631280728953861290277808670312196011950541794269249055437195274409932208559740334392507567607095891952913340762843574449916367
name = 28887_209
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.05
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID1184 2020-04-02 04:36:36,305 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 5468361252861951633631280728953861290277808670312196011950541794269249055437195274409932208559740334392507567607095891952913340762843574449916367
skew: 107146.491
c0: 36336129592244199511110346489560
c1: -467417753668187463826795558
c2: -9522706771265586916527
c3: -152171018269552409
c4: 276540678900
c5: 4041000
Y0: -8306731636166650782429777973
Y1: 9126378849914488423081
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 2.533e-06
PID1184 2020-04-02 10:14:26,891 Info:Square Root: Factors: 73689963035038067292379843857193647885153003901299074142554550587390322787477 74207680770064410552062866433509697249818521238293638154766316271571
PID1184 2020-04-02 10:14:26,891 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID1184 2020-04-02 10:14:26,891 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID1184 2020-04-02 10:14:26,891 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID1184 2020-04-02 10:14:26,891 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146634/42.870/52.725/60.410/1.217
PID1184 2020-04-02 10:14:26,892 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121521/41.770/46.620/52.890/0.992
PID1184 2020-04-02 10:14:26,892 Info:Polynomial Selection (size optimized): Total time: 62330.6
PID1184 2020-04-02 10:14:26,892 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID1184 2020-04-02 10:14:26,892 Info:Polynomial Selection (root optimized): Total time: 2047.97
PID1184 2020-04-02 10:14:26,892 Info:Polynomial Selection (root optimized): Rootsieve time: 2045.66
PID1184 2020-04-02 10:14:26,892 Info:Generate Factor Base: Total cpu/real time for makefb: 14.39/2.76526
PID1184 2020-04-02 10:14:26,892 Info:Generate Free Relations: Total cpu/real time for freerel: 1340.79/226.517
PID1184 2020-04-02 10:14:26,892 Info:Lattice Sieving: Aggregate statistics:
PID1184 2020-04-02 10:14:26,892 Info:Lattice Sieving: Total number of relations: 94986142
PID1184 2020-04-02 10:14:26,892 Info:Lattice Sieving: Average J: 7676.78 for 655841 special-q, max bucket fill -bkmult 1.0,1s:1.086580
PID1184 2020-04-02 10:14:26,892 Info:Lattice Sieving: Total time: 600397s
PID1184 2020-04-02 10:14:26,892 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 276.98/277.532
PID1184 2020-04-02 10:14:26,892 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID1184 2020-04-02 10:14:26,892 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 277.1s
PID1184 2020-04-02 10:14:26,892 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1063.61/381.504
PID1184 2020-04-02 10:14:26,892 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID1184 2020-04-02 10:14:26,892 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 290.5s
PID1184 2020-04-02 10:14:26,892 Info:Filtering - Singleton removal: Total cpu/real time for purge: 419.14/185.416
PID1184 2020-04-02 10:14:26,893 Info:Filtering - Merging: Total cpu/real time for merge: 159.24/37.0704
PID1184 2020-04-02 10:14:26,893 Info:Filtering - Merging: Total cpu/real time for replay: 58.93/58.9632
PID1184 2020-04-02 10:14:26,893 Info:Linear Algebra: Total cpu/real time for bwc: 48568.7/8540.25
PID1184 2020-04-02 10:14:26,893 Info:Linear Algebra: Aggregate statistics:
PID1184 2020-04-02 10:14:26,893 Info:Linear Algebra: Krylov: WCT time 5503.24, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (73216 iterations)
PID1184 2020-04-02 10:14:26,893 Info:Linear Algebra: Lingen CPU time 289.5, WCT time 54.51
PID1184 2020-04-02 10:14:26,893 Info:Linear Algebra: Mksol: WCT time 2853.08, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
PID1184 2020-04-02 10:14:26,893 Info:Quadratic Characters: Total cpu/real time for characters: 75.88/23.7722
PID1184 2020-04-02 10:14:26,893 Info:Square Root: Total cpu/real time for sqrt: 697.11/156.245
PID1184 2020-04-02 10:14:26,893 Info:HTTP server: Shutting down HTTP server
PID1184 2020-04-02 10:14:27,149 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.33913e+06/21263.7

CADO-NFS

2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<211>

23917624345686361355409787719127179446746273526474915559632885924637220921917955929663635867<92>
120784942816024764846877957324717894315733619020272627472295263089450992431254002988996351709341704196143940486898503061<120>

Number: 28887_210
N=2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
  ( 211 digits)
SNFS difficulty: 211 digits.
Divisors found:
 r1=23917624345686361355409787719127179446746273526474915559632885924637220921917955929663635867
 r2=120784942816024764846877957324717894315733619020272627472295263089450992431254002988996351709341704196143940486898503061
Version: 
Total time: 644.39 hours.
Scaled time: 3381.78 units (timescale=5.248).
Factorization parameters were as follows:
n: 2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 26
c0: -17
skew: 0.92
# Murphy_E = 5.061e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved rational special-q in [15000000, 35700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 45712721
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 4984356 x 4984602
Total sieving time: 575.50 hours.
Total relation processing time: 13.33 hours.
Matrix solve time: 55.17 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,30000000,30000000,29,29,57,57,2.6,2.6,100000
total time: 644.39 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370232k/51380224k available (5223k kernel code, 1085960k absent, 924032k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.52 BogoMIPS (lpj=3400264)
Total of 12 processors activated (81606.33 BogoMIPS).
x86info v1.25.  Dave Jones 2001-2009
Feedback to <davej@redhat.com>.

Found 12 CPUs
--------------------------------------------------------------------------
CPU #1
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM)     Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x0 Package: 0  Core: 0   SMT ID 0
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #2
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x2 Package: 0  Core: 0   SMT ID 2
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #3
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x4 Package: 0  Core: 0   SMT ID 4
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #4
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x6 Package: 0  Core: 0   SMT ID 6
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #5
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x8 Package: 0  Core: 0   SMT ID 8
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #6
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0xa Package: 0  Core: 0   SMT ID 10
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #7
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x1 Package: 0  Core: 0   SMT ID 1
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #8
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x3 Package: 0  Core: 0   SMT ID 3
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #9
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM) Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x5 Package: 0  Core: 0   SMT ID 5
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #10
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM)        Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x7 Package: 0  Core: 0   SMT ID 7
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #11
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM)        Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0x9 Package: 0  Core: 0   SMT ID 9
3.40GHz processor (estimate).

--------------------------------------------------------------------------
CPU #12
EFamily: 0 EModel: 3 Family: 6 Model: 62 Stepping: 4
CPU Model: Unknown model. 
Processor name string: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz
Type: 0 (Original OEM)        Brand: 0 (Unsupported)
Number of cores per physical package=16
Number of logical processors per socket=32
Number of logical processors per core=2
APIC ID: 0xb Package: 0  Core: 0   SMT ID 11
3.40GHz processor (estimate).

--------------------------------------------------------------------------

GGNFS / Msieve v1.39

Core i7 4930K

15765633339632674860253925733214006879455511398506384126737269719413956410160687492082095481717458406160429283110000557310682782629824714448507676526521221490083429757699492845245268372741<188>

12824983885664484379907168963250904499862820335352162501112180718245713278329872957140238867417423135656330426954255134081566773695995143773784267383706987026363<161>

35047684200878837665983995741911263747010976787761039179041859049302692151331419667768524070318827044271063281105126058519762648401549869524413857575569139310038375097859031735714439567842265341468973834689<206>

756489277568367073954364005173596976273585047<45>
46329386602193357679007580570036838192911463135380922129819169753471470250696853383310333506577849756342717179693055967217415344049385164613630972587258210934887<161>

#
# N = 26x10^213-17 = 28(212)7
#
n: 35047684200878837665983995741911263747010976787761039179041859049302692151331419667768524070318827044271063281105126058519762648401549869524413857575569139310038375097859031735714439567842265341468973834689
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 26000
c0: -17
skew: 0.23
# Murphy_E = 3.068e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6



GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 35047684200878837665983995741911263747010976787761039179041859049302692151331419667768524070318827044271063281105126058519762648401549869524413857575569139310038375097859031735714439567842265341468973834689 (206 digits)
Using B1=1500000000, B2=38989365545148, polynomial Dickson(30), sigma=2183248657
Step 1 took 8289947ms
Step 2 took 1206927ms
********** Factor found in step 2: 756489277568367073954364005173596976273585047
Found probable prime factor of 45 digits: 756489277568367073954364005173596976273585047
Probable prime cofactor 46329386602193357679007580570036838192911463135380922129819169753471470250696853383310333506577849756342717179693055967217415344049385164613630972587258210934887 has 161 digits

82222964661803976981636417755831012523359374652700888993053602408884117323426973019467372559169953283545745940400426767124455708387828727853787669791758618340516721252562401524468833509569<188>

1001478438517100828412402181776079887465416362430499276393838712419503083743981042488993020781233775265183239537090225264961866569504471812057520793641986248586460695468509336171723782208773173<193>

31703672839549369193824610398577954958339900282048214991134921456093250978921681448669527352805116360486046880044982974611495343514292628991825968454419615057590778165283902323264792659<185>

80632584827943483225081244516906988639938161042738354227514469324488891824793290560135301212863085729921452438113304722826081471895787887331150825992387281096418640589196460430660682460476589<191>

64910391210888574024360597228866061083792147412189801697117645395403<68>
1242213816983089544602488034215068997573931478557350367064353033503359899244645019781253925838734293492804330314113621135463<124>

Number: 28887_219
N = 80632584827943483225081244516906988639938161042738354227514469324488891824793290560135301212863085729921452438113304722826081471895787887331150825992387281096418640589196460430660682460476589 (191 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=64910391210888574024360597228866061083792147412189801697117645395403 (pp68)
r2=1242213816983089544602488034215068997573931478557350367064353033503359899244645019781253925838734293492804330314113621135463 (pp124)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 66.46 hours.
Factorization parameters were as follows:
n: 80632584827943483225081244516906988639938161042738354227514469324488891824793290560135301212863085729921452438113304722826081471895787887331150825992387281096418640589196460430660682460476589
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: -85
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 7622442 relations
Pruned matrix : 6568601 x 6568826
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 34.63 hours.
Total relation processing time: 0.37 hours.
Matrix solve time: 31.27 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 66.46 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

751027059250675693249693560034256998813965397852070774164620408266835467783609209625236597254439744651844914062502935966859080680226626549963944008792717224401827667958233662032188868434683977167<195>

881865875694927767372563770123137<33>

851634108938449969284471709540425518952078737942296072127215652764398631071522522862563883132518822615596257779403674223979847166166528317992091526910690877434191<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2077778744
Step 1 took 26728ms
Step 2 took 9962ms
********** Factor found in step 2: 881865875694927767372563770123137
Found probable prime factor of 33 digits: 881865875694927767372563770123137

851634108938449969284471709540425518952078737942296072127215652764398631071522522862563883132518822615596257779403674223979847166166528317992091526910690877434191<162>

273434694400419249894795049015700634481540927684093074802805753<63>
3114579555479936134006211670362234039918021477387261147002673925986579723891307270149177698404704647<100>

Number: 28887_221
N = 851634108938449969284471709540425518952078737942296072127215652764398631071522522862563883132518822615596257779403674223979847166166528317992091526910690877434191 (162 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=273434694400419249894795049015700634481540927684093074802805753 (pp63)
r2=3114579555479936134006211670362234039918021477387261147002673925986579723891307270149177698404704647 (pp100)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 86.60 hours.
Factorization parameters were as follows:
n: 851634108938449969284471709540425518952078737942296072127215652764398631071522522862563883132518822615596257779403674223979847166166528317992091526910690877434191
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 260
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
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Relations: 8714082 relations
Pruned matrix : 7433729 x 7433954
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 37.43 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 48.33 hours.
time per square root: 0.47 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 86.60 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859<222>

40263828018792759221288876084859814033535480192985952449237609947750135255830169183675969193750143327<101>
7714944880899928568166601461007452418733682738854462923246328211902396465667021774602334160205897940379024134727063929917<121>

N=310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859
  ( 222 digits)
SNFS difficulty: 224 digits.
Divisors found:
 r1=40263828018792759221288876084859814033535480192985952449237609947750135255830169183675969193750143327 (pp101)
 r2=7714944880899928568166601461007452418733682738854462923246328211902396465667021774602334160205897940379024134727063929917 (pp121)
Version: Msieve v. 1.52 (SVN unknown)
Total time:
Scaled time: 114.64 units (timescale=1.826).
Factorization parameters were as follows:
n: 310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859
m: 10000000000000000000000000000000000000
deg: 6
c6: 260
c0: -17
skew: 0.63
# Murphy_E = 1.681e-12
type: snfs
lss: 1
rlim: 38000000
alim: 38000000
lpbr: 29
lpba: 29
mfbr: 59
mfba: 59
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 38000000/38000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 59/59
Sieved rational special-q in [19000000, 74700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7165443 x 7165670
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,224.000,6,0,0,0,0,0,0,0,0,38000000,38000000,29,29,59,59,2.6,2.6,100000
total time:

189662398519203316150209011012031640565203750356752681969941008477388862734061806649145927003962547578774679732236512671842839992452068385158904185004332320090863952319766268032679816118524037<192>

19527798988533631516793317849880524482927420846320937304646407691165741205693450715279157594651383631685760305242308020309771724421415154945628807251661401<155>

5992758599768019367716078683116407208044803091361973<52>
3258565928100216768473345317901873954325292855461538313950241286906426118888807328741838557947632530837<103>

p52 factor: 5992758599768019367716078683116407208044803091361973
p103 factor: 3258565928100216768473345317901873954325292855461538313950241286906426118888807328741838557947632530837

Complete log at: https://pastebin.com/a4ieeDbC

GGNFS + Msieve

LA Phase used a RTX 3090 Ti

7046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607046070460704607<226>

171170449190226164276767360574183<33>

41164058948481966102910641567464094606509885108239479598013265128630438311536178000919908086650817766511698226582901759185151263493171958489930535012051285003422988563156726644386010348414845129<194>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2825448489
Step 1 took 30422ms
Step 2 took 11416ms
********** Factor found in step 2: 171170449190226164276767360574183
Found probable prime factor of 33 digits: 171170449190226164276767360574183

41164058948481966102910641567464094606509885108239479598013265128630438311536178000919908086650817766511698226582901759185151263493171958489930535012051285003422988563156726644386010348414845129<194>

96394309037948028379347047503916006330249<41>
427038269782884233571532629979381352832240790918436546156182993571318741189860388406762137047462360654921341179853471476977626176912681764465131892365121<153>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1322315109
Step 1 took 109932ms
Step 2 took 32287ms
********** Factor found in step 2: 96394309037948028379347047503916006330249
Found probable prime factor of 41 digits: 96394309037948028379347047503916006330249

24096334410372354650002845048179749061320437173414127320926732838686955712659249989114580559189254749481402261247978335510957581794634983490079194883943097103841927778020148440489276340452268894421331458735198114275297103<221>

2648754531890925744289472505627766883929793361843739243117119534608459881234378813589286838969120587380933702797403158140854202238285868393621848157100790178139518012616285397700505475736965258643893204378384701973<214>

11959316429391528838994620745467430572603331138798768539987791377820426540059823260622069363759306245573615503285063232355765009183605083500637270574888480524230196050454148141800510966394182841297157137092358074997149312939571<227>

533702134158195875018619524965993<33>
22408222984258557220585324832934669743874518639026109662537045297306328683671375922258627350973512800801633025697555555996433295684925399983053196387963555394603802441310684860549943560247180347<194>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2380210641
Step 1 took 30589ms
Step 2 took 11423ms
********** Factor found in step 2: 533702134158195875018619524965993
Found probable prime factor of 33 digits: 533702134158195875018619524965993

1067712383464939759446763210118456787881247494793776888632303824024851588892652340306458182567179978133947744115637353326736514401500826226938699092170064329031617918302185254656847273481232771217452520911390221754838301<220>

1458188309033643675506240019400447561<37>
732218450011112549329119131472487464700996108071642143999651677432370944661405118122237150930243439740333603349258790156504015126106670529850725189521677411299381341703689637291020341<183>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1584514277
Step 1 took 30407ms
Step 2 took 11077ms
********** Factor found in step 2: 1458188309033643675506240019400447561
Found probable prime factor of 37 digits: 1458188309033643675506240019400447561

146139902098025619797788145304378140623610840628612171482511147441265923108411007162922989369673786960812984126519205283071284613040818597785187311731907511797234957566106891<174>

81905251419833619330254697604752251<35>

1784255582696830276534593887819916505381468144908203450746913028232999073872509342847556961671398215684135181675801437520697873077488414641<139>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2937262404
Step 1 took 20037ms
Step 2 took 8188ms
********** Factor found in step 2: 81905251419833619330254697604752251
Found probable prime factor of 35 digits: 81905251419833619330254697604752251

1784255582696830276534593887819916505381468144908203450746913028232999073872509342847556961671398215684135181675801437520697873077488414641<139>

8393665944821433862444552283858331903378361914997<49>
212571669450062725661880620799653260066108653855107765172137873301246418292229829184693453<90>

Number: 28887_234
N = 1784255582696830276534593887819916505381468144908203450746913028232999073872509342847556961671398215684135181675801437520697873077488414641 (139 digits)
Divisors found:
r1=8393665944821433862444552283858331903378361914997 (pp49)
r2=212571669450062725661880620799653260066108653855107765172137873301246418292229829184693453 (pp90)
Version: Msieve v. 1.51 (SVN 845)
Total time: 175.83 hours.
Factorization parameters were as follows:
# Murphy_E = 2.485e-11, selected by Erik Branger
n: 1784255582696830276534593887819916505381468144908203450746913028232999073872509342847556961671398215684135181675801437520697873077488414641
Y0: -732517020307140868882717803
Y1: 1264172398136507
c0: -885590698985992766201263513866560
c1: 6479618980072577013555015912
c2: 15924836113536671070760
c3: -25739013137122671
c4: -21439933226
c5: 8460
skew: 884717.1
type: gnfs
# selected mechanically
rlim: 16400000
alim: 16400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23420592
Relations: 4091962 relations
Pruned matrix : 2507299 x 2507524
Polynomial selection time: 0.00 hours.
Total sieving time: 170.65 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 4.56 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,16400000,16400000,28,28,55,55,2.6,2.6,100000
total time: 175.83 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

74806382043478423435808369731981724377709478131578313162508505851955659628886150027973616118133062540569741584585888975216971294133994999132988181176488627119025163771902109920510942725786902856504974080673613787782389447<221>

310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859020310633213859<237>

17914895525348997871953180891109<32>

17339381824442367395580991512276869860053055786295287207142360858629021145621463481159379847188501595579526513899642127921292735853530819413715305796399360422060935906134898350448184711967380221179153899751<206>

GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (10^238*26-17)/837 (237 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=1225550637
dF=2048, k=3, d=19110, d2=11, i0=3
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
4911    70940   1226976 2.5e+007        5.8e+008        1.6e+010        2.7e+013        4e+018  5.4e+023        Inf
Step 1 took 1919ms
Using 28 small primes for NTT
Estimated memory usage: 9715K
Initializing tables of differences for F took 0ms
Computing roots of F took 47ms
Building F from its roots took 93ms
Computing 1/F took 94ms
Initializing table of differences for G took 16ms
Computing roots of G took 31ms
Building G from its roots took 93ms
Computing roots of G took 31ms
Building G from its roots took 94ms
Computing G * H took 47ms
Reducing  G * H mod F took 62ms
Computing roots of G took 31ms
Building G from its roots took 94ms
Computing G * H took 62ms
Reducing  G * H mod F took 47ms
Computing polyeval(F,G) took 234ms
Computing product of all F(g_i) took 0ms
Step 2 took 1092ms
********** Factor found in step 2: 17914895525348997871953180891109
Found probable prime factor of 32 digits: 17914895525348997871953180891109
Composite cofactor ((10^238*26-17)/837)/17914895525348997871953180891109 has 206 digits

17339381824442367395580991512276869860053055786295287207142360858629021145621463481159379847188501595579526513899642127921292735853530819413715305796399360422060935906134898350448184711967380221179153899751<206>

77799771931273889262077139536983524215512156277756839<53>
222871885019913493394674438897875118627492966147616203412002063359479369172645860685447727562232168450461348576023634337126531163771724817976675857903809<153>

GMP-ECM 6.4.4 [configured with MPIR 2.6.0] [ECM]
Input number is (26*10^238-17)/(9*3*31*17914895525348997871953180891109) (206 digits)
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=4255384633
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 648620ms
********** Factor found in step 1: 77799771931273889262077139536983524215512156277756839
Found probable prime factor of 53 digits: 77799771931273889262077139536983524215512156277756839
Probable prime cofactor ((26*10^238-17)/(9*3*31*17914895525348997871953180891109))/77799771931273889262077139536983524215512156277756839 has 153 digits

740119773182529698842285598811759848496818110178449714021001259371659989972380680299220412852382560387706022207351400699824314177424279618317732228887971415096912953835767450635345593359135556969033247430377459371<213>

4280854333158383909402266227048703161333611911475043914733823268530873520055698084964609588224244772720591414983902697395436903019905769301572740184077545219305548757811599981<175>

62278151843472083513806827039035431434759424862476731853681487850268473432357274166833477475038741991228599462136779070015776912891318958303370014943267405898223993638265400549776207070522028299457933767281925820601046207871<224>

535847809763143978355192340386397559158261690549041305186065206160895995101772667431578875419310133033903838245571040001763373837995436297060368826983389317324277<162>

2238197371361675944214564282141368295886665583880549597336891397847701696874687892494014339513936717193584329398332508250451328552862934073023223244558607086379896891838018612034960228999552934226891065335923910498599<217>

426599482213371244703891055066357851541475926554648706350351032200083710330104843290324311702067936190662893661712698893169728399974916554962033378988718479715768621261763548329750828229338763582691259678850703407140948146369<225>

717269346372110529889834619227<30>
594754933235438547994296700191439590607322804005208610107213036478886644781828192903370744174179313347905085970207485282456085972652441293523975735734434356927872614518675501444687794540196560147<195>

GMP-ECM 6.4.2 [configured with GMP 5.0.5, --enable-asm-redc] [ECM]
Input number is (26*10^245-17)/(9*109*1831*10651*318570302287) (225 digits)
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3327193573
dF=2048, k=3, d=19110, d2=11, i0=3
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
4911    70940   1226976 2.5e+007        5.8e+008        1.6e+010        2.7e+013        4e+018  5.4e+023        Inf
Step 1 took 2106ms
Using 27 small primes for NTT
Estimated memory usage: 9134K
Initializing tables of differences for F took 0ms
Computing roots of F took 31ms
Building F from its roots took 109ms
Computing 1/F took 62ms
Initializing table of differences for G took 0ms
Computing roots of G took 47ms
Building G from its roots took 125ms
Computing roots of G took 31ms
Building G from its roots took 109ms
Computing G * H took 31ms
Reducing  G * H mod F took 47ms
Computing roots of G took 31ms
Building G from its roots took 125ms
Computing G * H took 31ms
Reducing  G * H mod F took 47ms
Computing polyeval(F,G) took 218ms
Computing product of all F(g_i) took 16ms
Step 2 took 1076ms
********** Factor found in step 2: 717269346372110529889834619227
Found probable prime factor of 30 digits: 717269346372110529889834619227
Probable prime cofactor ((26*10^245-17)/(9*109*1831*10651*318570302287))/717269346372110529889834619227 has 195 digits

881049107121719365981770608433291103846777569010730175120669889558632667159938628355105061758530685244231825602064639619474204555092802821872613651844910360480650234755093532474541672136009864249496531963246297<210>

234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869015356820234869<246>

3394124530399892253802537454845802705641635643356913523852000092125096713737047217176318136792842921353363309634506090707467536341228396380125916861856375993823507599392692520691559424469293083431961047301131819406318537485341558589651<235>

100875365029972288268524560273915010772233862870763616491697356667638092552083567880681470931159842300595172141732779110265693299939226588785825575989633820907930903412078920731086339776251821387646805669497675200924686914555390961490240054887<243>

963250998907777248285352785483812035469292893708911459392480121022140989366120366225663204748889374696831899205609030613373472832762559839935563249108417766935644438911034635931538226475672022711887285628811119151104446023551920371<231>

184405845456205222280345935962493641117338603335263671853195371820076387836589922257203834919217479310510611510285933043851356199417192589141031369554376173081002910730466525051492656924644679725732692583<204>

3473367876565069471097994526493665538989019401054077401905906318796542206737439937549306738927071698303220181983193965385560216860070784075256998908798407670756204904635173044939660907153992159130217073121600122689679<217>

2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<256>

13020212604036942513785648407566601080540558467637720334322378007178016691731523884139032869911748617171517<107>
221877244000853197261944317650053899170637364722462993121928052004181625536472948088292717182643697183704737338894013205205644651098053431402215476611<150>

p107 factor: 13020212604036942513785648407566601080540558467637720334322378007178016691731523884139032869911748617171517
p150 factor: 221877244000853197261944317650053899170637364722462993121928052004181625536472948088292717182643697183704737338894013205205644651098053431402215476611

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

GGNFS + Msieve

358054225492933975231709304255216336785633846646141966689905475951904095698005850776568824849336041143976736260452726688860218703822578741764387888034731016701350051129523200759662242992052576563320156343727622797018337463987559170938007<237>

154510749711232605731954926736502201980959219497127745793022715707684612842571637656090238755805753894019425436373332441559875664248081250332202535279027505808826508634462304838223999884641841367664006592931766798850131<219>

19077411759930656786523102301301707529113<41>