6507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937<109>

1609234307804789928170154494737947503033525274455224753<55>
4044119912416110926650212851123881732754785808323471729<55>

Number: 45559_109
N=6507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937
  ( 109 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=1609234307804789928170154494737947503033525274455224753
 r2=4044119912416110926650212851123881732754785808323471729
Version: 
Total time: 0.81 hours.
Scaled time: 0.74 units (timescale=0.919).
Factorization parameters were as follows:
n: 6507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507936507937
m: 10000000000000000000000
deg: 5
c5: 41
c0: 310
skew: 1.50
type: snfs
lss: 1
rlim: 510000
alim: 510000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 510000/510000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [255000, 405001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56531 x 56768
Total sieving time: 0.81 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,111,5,0,0,0,0,0,0,0,0,510000,510000,25,25,44,44,2.2,2.2,50000
total time: 0.81 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

38865069821410137670361325758852039088454077608256881949389659211963870710969345891969<86>

66632079996950000918850156270835181<35>
583278652312656861739409130860545541746824360450149<51>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=2416555942
Step 1 took 2262ms
Step 2 took 3014ms
********** Factor found in step 2: 66632079996950000918850156270835181
Found probable prime factor of 35 digits: 66632079996950000918850156270835181
Probable prime cofactor 583278652312656861739409130860545541746824360450149 has 51 digits

GMP-ECM 6.2.1

21463867150179537396076928593902062991738505183000407813475853411210525461643284139196843031598477007748456041214813<116>

340372629305350493038858258580227<33>
142707570407913263217126244735561659953<39>
441882019100876445682608173027102980374694223<45>

SNFS difficulty: 121 digits.
Divisors found:
 r1=340372629305350493038858258580227 (pp33)
 r2=142707570407913263217126244735561659953 (pp39)
 r3=441882019100876445682608173027102980374694223 (pp45)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.725).
Factorization parameters were as follows:
n: 21463867150179537396076928593902062991738505183000407813475853411210525461643284139196843031598477007748456041214813
m: 1000000000000000000000000
deg: 5
c5: 41
c0: 31
skew: 0.95
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 49
mfba: 49
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 49/49
Sieved rational special-q in [370000, 720001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 76551 x 76794
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,121,5,0,0,0,0,0,0,0,0,740000,740000,25,25,49,49,2.2,2.2,50000
total time: 1.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

3371887264506005865805313674602489526825146226501314368068657627613618458765311747507547885746100855889<103>

25085893303696860441801815651838721304018746730029<50>
134413681174714126884752061671698555522359697260204341<54>

Number: 45559_121
N=3371887264506005865805313674602489526825146226501314368068657627613618458765311747507547885746100855889
  ( 103 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=25085893303696860441801815651838721304018746730029
 r2=134413681174714126884752061671698555522359697260204341
Version: 
Total time: 1.97 hours.
Scaled time: 1.88 units (timescale=0.957).
Factorization parameters were as follows:
n: 3371887264506005865805313674602489526825146226501314368068657627613618458765311747507547885746100855889
m: 1000000000000000000000000
deg: 5
c5: 410
c0: 31
skew: 0.60
type: snfs
lss: 1
rlim: 770000
alim: 770000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 770000/770000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [385000, 735001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 89947 x 90180
Total sieving time: 1.97 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,122,5,0,0,0,0,0,0,0,0,770000,770000,25,25,46,46,2.2,2.2,50000
total time: 1.97 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

5311568463843240783696431311443730078646697133227443199942657861469752424179442702126915376040709373856154541001672707481092983<127>

3355064599436787641763869624679045857743<40>
368969902060043715953543653361241381955493<42>
4290727720963025960639081602634475180502286117<46>

Number: 45559_134
N=5311568463843240783696431311443730078646697133227443199942657861469752424179442702126915376040709373856154541001672707481092983
  ( 127 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=3355064599436787641763869624679045857743
 r2=368969902060043715953543653361241381955493
 r3=4290727720963025960639081602634475180502286117
Version: 
Total time: 7.52 hours.
Scaled time: 5.93 units (timescale=0.789).
Factorization parameters were as follows:
n: 5311568463843240783696431311443730078646697133227443199942657861469752424179442702126915376040709373856154541001672707481092983
m: 1000000000000000000000000000
deg: 5
c5: 41
c0: 310
skew: 1.50
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3

Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [660000, 1410001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 197763 x 198002
Total sieving time: 7.52 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,136,5,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,75000
total time: 7.52 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

3149715173233392427732702117184935970658359688782117602640417982647041009125430118932357158281121785874658050307020851<118>

3556372132455003504299125348332795791<37>
81764998487587515297393502595915397367<38>
10831700697889374875547086213253766769996683<44>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=4009176397
Step 1 took 3337ms
Step 2 took 3839ms
********** Factor found in step 2: 3556372132455003504299125348332795791
Found probable prime factor of 37 digits: 3556372132455003504299125348332795791
Composite cofactor has 81 digits

Mon Feb  2 10:54:20 2009  Msieve v. 1.39
Mon Feb  2 10:54:20 2009  random seeds: c823d20b 086b9660
Mon Feb  2 10:54:20 2009  factoring 885653991180925370649281203219902274025329631298217788923412812505979443216933661 (81 digits)
Mon Feb  2 10:54:21 2009  searching for 15-digit factors
Mon Feb  2 10:54:21 2009  commencing quadratic sieve (81-digit input)
Mon Feb  2 10:54:22 2009  using multiplier of 1
Mon Feb  2 10:54:22 2009  using 64kb Opteron sieve core
Mon Feb  2 10:54:22 2009  sieve interval: 6 blocks of size 65536
Mon Feb  2 10:54:22 2009  processing polynomials in batches of 17
Mon Feb  2 10:54:22 2009  using a sieve bound of 1325939 (50860 primes)
Mon Feb  2 10:54:22 2009  using large prime bound of 127290144 (26 bits)
Mon Feb  2 10:54:22 2009  using trial factoring cutoff of 27 bits
Mon Feb  2 10:54:22 2009  polynomial 'A' values have 10 factors
Mon Feb  2 11:09:51 2009  50979 relations (26425 full + 24554 combined from 272911 partial), need 50956
Mon Feb  2 11:09:51 2009  begin with 299336 relations
Mon Feb  2 11:09:51 2009  reduce to 72500 relations in 2 passes
Mon Feb  2 11:09:51 2009  attempting to read 72500 relations
Mon Feb  2 11:09:51 2009  recovered 72500 relations
Mon Feb  2 11:09:51 2009  recovered 62259 polynomials
Mon Feb  2 11:09:52 2009  attempting to build 50979 cycles
Mon Feb  2 11:09:52 2009  found 50979 cycles in 1 passes
Mon Feb  2 11:09:52 2009  distribution of cycle lengths:
Mon Feb  2 11:09:52 2009     length 1 : 26425
Mon Feb  2 11:09:52 2009     length 2 : 24554
Mon Feb  2 11:09:52 2009  largest cycle: 2 relations
Mon Feb  2 11:09:52 2009  matrix is 50860 x 50979 (7.4 MB) with weight 1539782 (30.20/col)
Mon Feb  2 11:09:52 2009  sparse part has weight 1539782 (30.20/col)
Mon Feb  2 11:09:52 2009  filtering completed in 3 passes
Mon Feb  2 11:09:52 2009  matrix is 36210 x 36273 (5.8 MB) with weight 1231213 (33.94/col)
Mon Feb  2 11:09:52 2009  sparse part has weight 1231213 (33.94/col)
Mon Feb  2 11:09:52 2009  saving the first 48 matrix rows for later
Mon Feb  2 11:09:52 2009  matrix is 36162 x 36273 (4.4 MB) with weight 976497 (26.92/col)
Mon Feb  2 11:09:52 2009  sparse part has weight 791496 (21.82/col)
Mon Feb  2 11:09:52 2009  matrix includes 64 packed rows
Mon Feb  2 11:09:52 2009  using block size 14509 for processor cache size 1024 kB
Mon Feb  2 11:09:52 2009  commencing Lanczos iteration
Mon Feb  2 11:09:52 2009  memory use: 4.2 MB
Mon Feb  2 11:09:59 2009  lanczos halted after 574 iterations (dim = 36159)
Mon Feb  2 11:09:59 2009  recovered 15 nontrivial dependencies
Mon Feb  2 11:09:59 2009  prp38 factor: 81764998487587515297393502595915397367
Mon Feb  2 11:09:59 2009  prp44 factor: 10831700697889374875547086213253766769996683
Mon Feb  2 11:09:59 2009  elapsed time 00:15:39

GMP-ECM 6.2.1; Msieve-1.39

13348501850434568171603581727123465106200956285391267018621817037449652422929632858882357728590612360205881<107>

252393054615440922847616237510590238393523348029<48>
52887754263971463652272433280462875253408094097265038159789<59>

SNFS difficulty: 139 digits.
Divisors found:
 r1=252393054615440922847616237510590238393523348029 (pp48)
 r2=52887754263971463652272433280462875253408094097265038159789 (pp59)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.729).
Factorization parameters were as follows:
n: 13348501850434568171603581727123465106200956285391267018621817037449652422929632858882357728590612360205881
m: 2000000000000000000000000000
deg: 5
c5: 1025
c0: 248
skew: 0.75
type: snfs
lss: 1
rlim: 1480000
alim: 1480000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1480000/1480000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [740000, 1790001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 248108 x 248356
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,139,5,0,0,0,0,0,0,0,0,1480000,1480000,26,26,49,49,2.3,2.3,75000
total time: 4.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

151851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853<141>

1199724753870660251498367251866019<34>
126572241976281397788306276290203483556777976494085693561461616930615405285457813403487508172685964660247887<108>

GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 151851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853 (141 digits)
Using B1=298000, B2=172085560, polynomial Dickson(3), sigma=3207482358
Step 1 took 4359ms
Step 2 took 2203ms
********** Factor found in step 2: 1199724753870660251498367251866019
Found probable prime factor of 34 digits: 1199724753870660251498367251866019
Probable prime cofactor 126572241976281397788306276290203483556777976494085693561461616930615405285457813403487508172685964660247887 has 108 digits

295834424786622768934616718704627647167534159440814108027259696373751625241655417932525050790318493612028538924965970265461309<126>

187207276255012422729752934399155835081317<42>
1580250675639547341201881408748595868779650270106661112293742173219702816098552534777<85>

Number: 45559_142
N=295834424786622768934616718704627647167534159440814108027259696373751625241655417932525050790318493612028538924965970265461309
  ( 126 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=187207276255012422729752934399155835081317
 r2=1580250675639547341201881408748595868779650270106661112293742173219702816098552534777
Version: 
Total time: 10.13 hours.
Scaled time: 10.48 units (timescale=1.034).
Factorization parameters were as follows:
n: 295834424786622768934616718704627647167534159440814108027259696373751625241655417932525050790318493612028538924965970265461309
m: 20000000000000000000000000000
deg: 5
c5: 1025
c0: 248
skew: 0.75
type: snfs
lss: 1
rlim: 1790000
alim: 1790000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1790000/1790000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [895000, 2495001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 315955 x 316199
Total sieving time: 10.13 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,144,5,0,0,0,0,0,0,0,0,1790000,1790000,26,26,49,49,2.3,2.3,100000
total time: 10.13 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1375109752125158075603206090777891282120476954822609292629635110157496109652935842053098044646592473679160655521538764646654558878291239<136>

43891407210223167991938940264408438234274231<44>
31329816916985703162968325139908103167161980429416652592213407347484770038268189526368100369<92>

SNFS difficulty: 146 digits.
Divisors found:
 r1=43891407210223167991938940264408438234274231 (pp44)
 r2=31329816916985703162968325139908103167161980429416652592213407347484770038268189526368100369 (pp92)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
n: 1375109752125158075603206090777891282120476954822609292629635110157496109652935842053098044646592473679160655521538764646654558878291239
m: 100000000000000000000000000000
deg: 5
c5: 41
c0: 310
skew: 1.50
type: snfs
lss: 1
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [970000, 2470001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 323468 x 323716
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,146,5,0,0,0,0,0,0,0,0,1940000,1940000,26,26,49,49,2.3,2.3,100000
total time: 7.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

534252621585579664145356129183084336477260959704351426118664324429932031453629717985356037374518157303450315183482115567372178327987487<135>

168438529842683148308054615040993794916373972406674183409321003<63>
3171795800429727056384870508088370966952792701950555965163582644756292829<73>

SNFS difficulty: 147 digits.
Divisors found:
 r1=168438529842683148308054615040993794916373972406674183409321003 (pp63)
 r2=3171795800429727056384870508088370966952792701950555965163582644756292829 (pp73)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.952).
Factorization parameters were as follows:
n: 534252621585579664145356129183084336477260959704351426118664324429932031453629717985356037374518157303450315183482115567372178327987487
m: 100000000000000000000000000000
deg: 5
c5: 410
c0: 31
skew: 0.60
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2600001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 336386 x 336634
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,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,200000
total time: 9.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

8088241431772323359905288451844054603516404793649864842836942168315351908932187004288549805467603217715112449054385793012503<124>

15790481464166446594690651815180971019684223<44>
512222597526685881224335243996449802720016005174732892674800648867239124059296361<81>

Number: n
N=8088241431772323359905288451844054603516404793649864842836942168315351908932187004288549805467603217715112449054385793012503
  ( 124 digits)
SNFS difficulty: 148 digits.
Divisors found:

Thu Feb 05 15:47:15 2009  prp44 factor: 15790481464166446594690651815180971019684223
Thu Feb 05 15:47:15 2009  prp81 factor: 512222597526685881224335243996449802720016005174732892674800648867239124059296361
Thu Feb 05 15:47:15 2009  elapsed time 01:37:26 (Msieve 1.39 - dependency 4)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 17.78 hours.
Scaled time: 31.14 units (timescale=1.751).
Factorization parameters were as follows:
name: KA_4_5_146_9
n: 8088241431772323359905288451844054603516404793649864842836942168315351908932187004288549805467603217715112449054385793012503
deg: 5
c5: 4100
c0: 31
m: 100000000000000000000000000000
skew: 0.38
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 2750357)
Primes: RFBsize:148933, AFBsize:148687, largePrimes:14081621 encountered
Relations: rels:13256340, finalFF:301266
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1857315 hash collisions in 14938253 relations
Msieve: matrix is 390722 x 390970 (102.5 MB)

Total sieving time: 17.15 hours.
Total relation processing time: 0.63 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,56,56,2.5,2.5,100000
total time: 17.78 hours.
 --------- CPU info (if available) ----------

13067204310799067675002578708822192265309826867751678543454220556585403784206054853790648961562190533341<104>

993961156893056416607626915683869223442657<42>
13146594532571871522060287814049648829068446860402530335788413<62>

Number: 45559_148
N=13067204310799067675002578708822192265309826867751678543454220556585403784206054853790648961562190533341
  ( 104 digits)
Divisors found:
 r1=993961156893056416607626915683869223442657
 r2=13146594532571871522060287814049648829068446860402530335788413
Version: 
Total time: 6.90 hours.
Scaled time: 6.80 units (timescale=0.986).
Factorization parameters were as follows:
name: 45559_148
n: 13067204310799067675002578708822192265309826867751678543454220556585403784206054853790648961562190533341
skew: 9512.93
# norm 5.22e+014
c5: 135240
c4: -1395252628
c3: -24330005753916
c2: -61135301664736594
c1: -851727712597451983479
c0: 1781714010621733225497320
# alpha -6.83
Y1: 26281209977
Y0: -39538127680531691007
# Murphy_E 2.28e-009
# M 1140871152934581302784860955381968303936443731707518166701881245649768293362391649966531840834781000646
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 239666 x 239914
Total sieving time: 6.90 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,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 6.90 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

34282199428913939966287465267724872592788642827752255150950681745921588947521176996927132361852311383213771<107>

742595156508827118542839675104487894660931<42>
46165395947484115517095878930268133102823135966773754229187847641<65>

Number: n
N=34282199428913939966287465267724872592788642827752255150950681745921588947521176996927132361852311383213771
  ( 107 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=742595156508827118542839675104487894660931 (pp42)
 r2=46165395947484115517095878930268133102823135966773754229187847641 (pp65)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 16.56 hours.
Scaled time: 30.28 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_4_5_148_9
n: 34282199428913939966287465267724872592788642827752255150950681745921588947521176996927132361852311383213771
deg: 5
c5: 41
c0: 310
m: 1000000000000000000000000000000
skew: 1.50
type: snfs
rlim: 2200000
alim: 2200000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [1100000, 1920001)
Primes: RFBsize:162662, AFBsize:163117, largePrimes:14471590 encountered
Relations: rels:13542748, finalFF:378681
Max relations in full relation-set: 48
Initial matrix: 325844 x 378681 with sparse part having weight 60399318.
Pruned matrix : 311607 x 313300 with weight 44312611.
Total sieving time: 14.53 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 1.46 hours.
Total square root time: 0.15 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2200000,2200000,28,28,56,56,2.5,2.5,100000
total time: 16.56 hours.
 --------- CPU info (if available) ----------

77212806026365348399246704331450094161958568738229755178907721280602636534839924670433145009416195856873822975517890772128060263653483992467043314501<149>

1834886255558059164439981705268639491756411363<46>
2810565013910426340429576863390187630819434313763<49>
14972232145499087168765999273668718924452898779323137629<56>

SNFS difficulty: 151 digits.
Divisors found:
 r1=1834886255558059164439981705268639491756411363 (pp46)
 r2=2810565013910426340429576863390187630819434313763 (pp49)
 r3=14972232145499087168765999273668718924452898779323137629 (pp56)
Version: Msieve-1.39
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.900).
Factorization parameters were as follows:
n: 77212806026365348399246704331450094161958568738229755178907721280602636534839924670433145009416195856873822975517890772128060263653483992467043314501
m: 1000000000000000000000000000000
deg: 5
c5: 41
c0: 31
skew: 0.95
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1200000, 1800001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 486507 x 486755
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,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,52,52,2.4,2.4,200000
total time: 12.00 hours.

Msieve-1.39

Opteron-2.6GHz; Linux x86_64

1067760945606072306357447751924608914188862999876886904348598844862669877874888108749022467<91>

64454058946572661063597653904314564797<38>
16566232802982385348636217381941028289030910679890111<53>

Tue Feb 03 15:06:21 2009  
Tue Feb 03 15:06:21 2009  
Tue Feb 03 15:06:21 2009  Msieve v. 1.39
Tue Feb 03 15:06:21 2009  random seeds: 618d5abc 61d4c648
Tue Feb 03 15:06:21 2009  factoring 1067760945606072306357447751924608914188862999876886904348598844862669877874888108749022467 (91 digits)
Tue Feb 03 15:06:22 2009  searching for 15-digit factors
Tue Feb 03 15:06:23 2009  commencing quadratic sieve (91-digit input)
Tue Feb 03 15:06:23 2009  using multiplier of 3
Tue Feb 03 15:06:23 2009  using 64kb Opteron sieve core
Tue Feb 03 15:06:23 2009  sieve interval: 18 blocks of size 65536
Tue Feb 03 15:06:23 2009  processing polynomials in batches of 6
Tue Feb 03 15:06:23 2009  using a sieve bound of 1651693 (62353 primes)
Tue Feb 03 15:06:23 2009  using large prime bound of 145348984 (27 bits)
Tue Feb 03 15:06:23 2009  using double large prime bound of 492426660101728 (42-49 bits)
Tue Feb 03 15:06:23 2009  using trial factoring cutoff of 49 bits
Tue Feb 03 15:06:23 2009  polynomial 'A' values have 12 factors
Tue Feb 03 16:39:43 2009  62529 relations (16520 full + 46009 combined from 694872 partial), need 62449
Tue Feb 03 16:39:43 2009  begin with 711392 relations
Tue Feb 03 16:39:44 2009  reduce to 153393 relations in 9 passes
Tue Feb 03 16:39:44 2009  attempting to read 153393 relations
Tue Feb 03 16:39:46 2009  recovered 153393 relations
Tue Feb 03 16:39:46 2009  recovered 132684 polynomials
Tue Feb 03 16:39:46 2009  attempting to build 62529 cycles
Tue Feb 03 16:39:46 2009  found 62529 cycles in 6 passes
Tue Feb 03 16:39:47 2009  distribution of cycle lengths:
Tue Feb 03 16:39:47 2009     length 1 : 16520
Tue Feb 03 16:39:47 2009     length 2 : 11962
Tue Feb 03 16:39:47 2009     length 3 : 11103
Tue Feb 03 16:39:47 2009     length 4 : 8367
Tue Feb 03 16:39:47 2009     length 5 : 5935
Tue Feb 03 16:39:47 2009     length 6 : 3722
Tue Feb 03 16:39:47 2009     length 7 : 2242
Tue Feb 03 16:39:47 2009     length 9+: 2678
Tue Feb 03 16:39:47 2009  largest cycle: 20 relations
Tue Feb 03 16:39:47 2009  matrix is 62353 x 62529 (15.3 MB) with weight 3758775 (60.11/col)
Tue Feb 03 16:39:47 2009  sparse part has weight 3758775 (60.11/col)
Tue Feb 03 16:39:49 2009  filtering completed in 3 passes
Tue Feb 03 16:39:49 2009  matrix is 58603 x 58667 (14.5 MB) with weight 3556923 (60.63/col)
Tue Feb 03 16:39:49 2009  sparse part has weight 3556923 (60.63/col)
Tue Feb 03 16:39:49 2009  saving the first 48 matrix rows for later
Tue Feb 03 16:39:49 2009  matrix is 58555 x 58667 (9.2 MB) with weight 2801740 (47.76/col)
Tue Feb 03 16:39:49 2009  sparse part has weight 2052873 (34.99/col)
Tue Feb 03 16:39:49 2009  matrix includes 64 packed rows
Tue Feb 03 16:39:49 2009  using block size 21845 for processor cache size 512 kB
Tue Feb 03 16:39:49 2009  commencing Lanczos iteration
Tue Feb 03 16:39:49 2009  memory use: 8.9 MB
Tue Feb 03 16:40:21 2009  lanczos halted after 928 iterations (dim = 58551)
Tue Feb 03 16:40:22 2009  recovered 15 nontrivial dependencies
Tue Feb 03 16:40:22 2009  prp38 factor: 64454058946572661063597653904314564797
Tue Feb 03 16:40:22 2009  prp53 factor: 16566232802982385348636217381941028289030910679890111
Tue Feb 03 16:40:22 2009  elapsed time 01:34:01

2947329191551552118509279124099511833564446263428751552985788903463748077941107615863485422624550238201673<106>

12777040938465543273078312549300380272022438917<47>
230673847391265473660109691575737534480723477975666285649269<60>

Number: 45559_154
N=2947329191551552118509279124099511833564446263428751552985788903463748077941107615863485422624550238201673
  ( 106 digits)
Divisors found:
 r1=12777040938465543273078312549300380272022438917
 r2=230673847391265473660109691575737534480723477975666285649269
Version: 
Total time: 5.69 hours.
Scaled time: 13.60 units (timescale=2.391).
Factorization parameters were as follows:
name: 45559_154
n: 2947329191551552118509279124099511833564446263428751552985788903463748077941107615863485422624550238201673
skew: 9152.16
# norm 7.12e+14
c5: 45720
c4: -1680847446
c3: 28490701205429
c2: 459015295180056074
c1: -856933538753681074326
c0: 316787297664447954662535
# alpha -6.42
Y1: 133171513343
Y0: -145166836990382843528
# Murphy_E 1.77e-09
# M 1114897154838392718458649305345136319880261944443620690400281399038725591199716555678089018166755566500259
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved algebraic special-q in [750000, 1150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4842124
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 255636 x 255884
Polynomial selection time: 0.38 hours.
Total sieving time: 4.60 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.36 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,50,50,2.6,2.6,50000
total time: 5.69 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673806)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GGNFS / MSieve v1.39

Core 2 Quad Q6700

17515625577032778123482422833133199922476087253746096807624813956948927100810670967169644831409843544339495714591304313<119>

221173944223763048794372321041180140113<39>
79193892564994506212021420437914729233141839242031716913696415972933097456063401<80>

Number: 45559_158
N=17515625577032778123482422833133199922476087253746096807624813956948927100810670967169644831409843544339495714591304313
  ( 119 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=221173944223763048794372321041180140113
 r2=79193892564994506212021420437914729233141839242031716913696415972933097456063401
Version: 
Total time: 23.05 hours.
Scaled time: 55.08 units (timescale=2.390).
Factorization parameters were as follows:
n: 17515625577032778123482422833133199922476087253746096807624813956948927100810670967169644831409843544339495714591304313
m: 100000000000000000000000000000000
deg: 5
c5: 41
c0: 3100
skew: 2.38
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9853177
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 686884 x 687132
Total sieving time: 20.86 hours.
Total relation processing time: 0.95 hours.
Matrix solve time: 1.01 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 23.05 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

1122887738613644455399446772382439131268315394517021334867033659244652589488675266343494097992495823405362473639525648399200284830060526387861857420644701887<157>

1731585413574630738720683078158942651<37>
648473780046223736657506407721592954100495580810060166742346782078054396205770239313450393164960173160241188816269253837<120>

Number: 45559_159
N=1122887738613644455399446772382439131268315394517021334867033659244652589488675266343494097992495823405362473639525648399200284830060526387861857420644701887
  ( 157 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1731585413574630738720683078158942651
 r2=648473780046223736657506407721592954100495580810060166742346782078054396205770239313450393164960173160241188816269253837
Version: 
Total time: 59.12 hours.
Scaled time: 46.88 units (timescale=0.793).
Factorization parameters were as follows:
n: 1122887738613644455399446772382439131268315394517021334867033659244652589488675266343494097992495823405362473639525648399200284830060526387861857420644701887
m: 100000000000000000000000000000000
deg: 5
c5: 41
c0: 310
skew: 1.50
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4

Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 660055 x 660303
Total sieving time: 59.12 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,161,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 59.12 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

27177760725161624492666122154903250925655192592760208327964201536452894271617890829840465084241824723446784109<110>

417031829818786514625003110149835023357335429041<48>
65169511730006841092794775676897877056841471574689193783777149<62>

Number: 45559_160
N=27177760725161624492666122154903250925655192592760208327964201536452894271617890829840465084241824723446784109
  ( 110 digits)
Divisors found:
 r1=417031829818786514625003110149835023357335429041
 r2=65169511730006841092794775676897877056841471574689193783777149
Version: 
Total time: 9.18 hours.
Scaled time: 21.90 units (timescale=2.386).
Factorization parameters were as follows:
name: 45559_160
n: 27177760725161624492666122154903250925655192592760208327964201536452894271617890829840465084241824723446784109
skew: 33792.95
# norm 2.92e+15
c5: 18240
c4: -2426298761
c3: -129766364201011
c2: 2159625987619716429
c1: 30758043909317759146504
c0: -322864991197159729721686960
# alpha -6.42
Y1: 509338277569
Y0: -1083036769604062843989
# Murphy_E 1.06e-09
# M 4069870747139864016425162783638635230370222738182267958161246223817949573585473063739648028664842912771748600
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 1700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8114328
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 357183 x 357431
Polynomial selection time: 0.66 hours.
Total sieving time: 7.64 hours.
Total relation processing time: 0.52 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 9.18 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673806)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672340)
Calibrating delay using timer specific routine.. 5344.70 BogoMIPS (lpj=2672353)

GGNFS / Msieve v1.39

2772988463688098795660883458291110182748717211815370475266497074618030888415888309341225266286540888669696576874059611633329438166383<133>

738981477450049648950797460130140636375735769<45>
3752446506855152964198148192252292656497302159234075473588209776069104121023725885264007<88>

Number: 45559_161
N=2772988463688098795660883458291110182748717211815370475266497074618030888415888309341225266286540888669696576874059611633329438166383
  ( 133 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=738981477450049648950797460130140636375735769
 r2=3752446506855152964198148192252292656497302159234075473588209776069104121023725885264007
Version: 
Total time: 20.57 hours.
Scaled time: 49.11 units (timescale=2.387).
Factorization parameters were as follows:
n: 2772988463688098795660883458291110182748717211815370475266497074618030888415888309341225266286540888669696576874059611633329438166383
m: 100000000000000000000000000000000
deg: 5
c5: 410
c0: 31
skew: 0.60
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9550539
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 718232 x 718480
Total sieving time: 18.44 hours.
Total relation processing time: 0.79 hours.
Matrix solve time: 1.10 hours.
Time per square root: 0.24 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 20.57 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

387854896951125408943277008177821207312190067820682958920140801813820386612531689968710232347976385056259360659<111>

25996216458010873554969888938827763682619<41>
14919667159164842307233929961510023909214702259020600485547130499361161<71>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 387854896951125408943277008177821207312190067820682958920140801813820386612531689968710232347976385056259360659 (111 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=274949117
Step 1 took 3300ms
Step 2 took 2073ms
********** Factor found in step 2: 25996216458010873554969888938827763682619
Found probable prime factor of 41 digits: 25996216458010873554969888938827763682619
Probable prime cofactor 14919667159164842307233929961510023909214702259020600485547130499361161 has 71 digits

Core 2 Quad Q6700

23717564161196539892251867407341411144763331780835323870934055365940487933694852897012184070156437658761039170173770543157049325016555122847010362994219023<155>

24644657017319536075637648204817074896826094722424223<53>
962381588209100952662270281234582209105507926978236055510596512465101473662453819049646267537489907601<102>

Number: 45559_164
N=23717564161196539892251867407341411144763331780835323870934055365940487933694852897012184070156437658761039170173770543157049325016555122847010362994219023
  ( 155 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=24644657017319536075637648204817074896826094722424223
 r2=962381588209100952662270281234582209105507926978236055510596512465101473662453819049646267537489907601
Version: 
Total time: 29.63 hours.
Scaled time: 70.72 units (timescale=2.387).
Factorization parameters were as follows:
n: 23717564161196539892251867407341411144763331780835323870934055365940487933694852897012184070156437658761039170173770543157049325016555122847010362994219023
m: 1000000000000000000000000000000000
deg: 5
c5: 41
c0: 310
skew: 1.50
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2400000, 4800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9931917
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 850619 x 850867
Total sieving time: 26.82 hours.
Total relation processing time: 1.16 hours.
Matrix solve time: 1.55 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,51,51,2.4,2.4,100000
total time: 29.63 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

4503035242063461125049670175905368190910945838940854191249799238243173720334783918251713977160703818744246151148730177700674116300703005050845503<145>

282439056897102489148533809233561<33>

15943387191326006946618098390931334098583772565115458602425948433791571117252421966012384908580203304557239817623<113>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2537698185
Step 1 took 11804ms
Step 2 took 13768ms
********** Factor found in step 2: 282439056897102489148533809233561
Found probable prime factor of 33 digits: 282439056897102489148533809233561
Composite cofactor has 113 digits

GMP-ECM 6.2.1

15943387191326006946618098390931334098583772565115458602425948433791571117252421966012384908580203304557239817623<113>

144729762785463117546069830118601103140161870319<48>
110159699597928074202809633863893697276737851710914857601435993817<66>

Number: 45559_166
N=15943387191326006946618098390931334098583772565115458602425948433791571117252421966012384908580203304557239817623
  ( 113 digits)
Divisors found:
 r1=144729762785463117546069830118601103140161870319
 r2=110159699597928074202809633863893697276737851710914857601435993817
Version: 
Total time: 12.11 hours.
Scaled time: 28.76 units (timescale=2.375).
Factorization parameters were as follows:
name: 45559_166
n: 15943387191326006946618098390931334098583772565115458602425948433791571117252421966012384908580203304557239817623
skew: 66609.94
# norm 6.86e+15
c5: 10620
c4: -637189443
c3: -279914786507971
c2: 2532966587926767017
c1: 333602027686008373998116
c0: -4735595543010627300655644864
# alpha -6.53
Y1: 410884714789
Y0: -4318090211932266210077
# Murphy_E 7.61e-10
# M 11050356650595640620372840521874159368328391234008289347464790086922844142246216431649260467707320208882737639920
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1200000, 2040001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8427716
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 397846 x 398094
Polynomial selection time: 1.00 hours.
Total sieving time: 9.72 hours.
Total relation processing time: 0.57 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.47 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,51,51,2.6,2.6,60000
total time: 12.11 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

956450455020031159389268098812021233312805198791307521949393569028884562027532289831015426464963301244570998251383<114>

101472537403836748368128744496067715026029073<45>
9425707481952324684742027744584472179540783842426196428244301764446471<70>

Number: 45559_167
N=956450455020031159389268098812021233312805198791307521949393569028884562027532289831015426464963301244570998251383
  ( 114 digits)
Divisors found:
 r1=101472537403836748368128744496067715026029073
 r2=9425707481952324684742027744584472179540783842426196428244301764446471
Version: 
Total time: 13.43 hours.
Scaled time: 32.08 units (timescale=2.388).
Factorization parameters were as follows:
name: 45559_167
n: 956450455020031159389268098812021233312805198791307521949393569028884562027532289831015426464963301244570998251383
skew: 30481.77
# norm 1.70e+15
c5: 43680
c4: 1742174970
c3: -91384218325573
c2: -1454084337276899623
c1: 53164942488116076744005
c0: -63484431654432790325108940
# alpha -5.75
Y1: 1747376151809
Y0: -7380319266821848992667
# Murphy_E 6.77e-10
# M 101155875623595634141182088016873264147289890902546611979436826875341583844862873953881230937014456091194334254487
type: gnfs
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 70000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [1400000, 2310001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9302131
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 450298 x 450546
Polynomial selection time: 1.16 hours.
Total sieving time: 11.15 hours.
Total relation processing time: 0.60 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2800000,2800000,27,27,52,52,2.6,2.6,70000
total time: 13.43 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

203144010920446719675150985051929266983700872415625718248971422027715628531026178691027602422423959557424751697250432471151<123>

20857207550458330418500632087634039101377<41>
9739751135380665829409170258234123961386776664737312926522131440681813665950217263<82>

Input number is 203144010920446719675150985051929266983700872415625718248971422027715628531026178691027602422423959557424751697250432471151 (123 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3267817554
********** Factor found in step 2: 20857207550458330418500632087634039101377
Found probable prime factor of 41 digits: 20857207550458330418500632087634039101377
Probable prime cofactor 9739751135380665829409170258234123961386776664737312926522131440681813665950217263 has 82 digits

GMP-ECM 6.2.3

Intel Core 2 Duo T8100
Windows Vista 32 bit

8627378419787896892755374110206911794359998536847694164358173420944155168960161105761484284515307221021075717290185690087923338249898038900550643<145>

87966517951616456089657749134835387907<38>

98075706765307536187489902095252886657188662798627501819296576957833560811191731511967177870879541793357649<107>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=3230988224
Step 1 took 11699ms
Step 2 took 14113ms
********** Factor found in step 2: 87966517951616456089657749134835387907
Found probable prime factor of 38 digits: 87966517951616456089657749134835387907
Composite cofactor has 107 digits

GMP-ECM 6.2.1

98075706765307536187489902095252886657188662798627501819296576957833560811191731511967177870879541793357649<107>

97527605102358392635059652231653292903706452529<47>
1005619964341110324977300989851086904195026065037215955093281<61>

Number: 45559_171
N=98075706765307536187489902095252886657188662798627501819296576957833560811191731511967177870879541793357649
  ( 107 digits)
Divisors found:
 r1=97527605102358392635059652231653292903706452529
 r2=1005619964341110324977300989851086904195026065037215955093281
Version: 
Total time: 7.61 hours.
Scaled time: 18.18 units (timescale=2.388).
Factorization parameters were as follows:
name: 45559_171
n: 98075706765307536187489902095252886657188662798627501819296576957833560811191731511967177870879541793357649
skew: 3694.36
# norm 6.81e+14
c5: 262080
c4: 74249556
c3: -78205127191976
c2: -9335641545687925
c1: 102035892536425629126
c0: 59977709598120917721174
# alpha -5.38
Y1: 151806050231
Y0: -206359988591435496625
# Murphy_E 1.41e-09
# M 69217724840439548628410125642110719760392330332550285062401846730483530177346371570195000966628927571656931
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 51/51
Sieved algebraic special-q in [900000, 1450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 5355063
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 299146 x 299394
Polynomial selection time: 0.43 hours.
Total sieving time: 6.26 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.43 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,51,51,2.6,2.6,50000
total time: 7.61 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

238194518206254381237258429068330575418003725742747954852656581645557520590732261056020564376931006742997754269<111>

4328914463841173098664599202895716455251590868607<49>
55024075942331598058118325165702275379523661514693064001296867<62>

Number: 45559_172
N=238194518206254381237258429068330575418003725742747954852656581645557520590732261056020564376931006742997754269
  ( 111 digits)
Divisors found:
 r1=4328914463841173098664599202895716455251590868607
 r2=55024075942331598058118325165702275379523661514693064001296867
Version: 
Total time: 9.71 hours.
Scaled time: 23.17 units (timescale=2.387).
Factorization parameters were as follows:
name: 45559_172
n: 238194518206254381237258429068330575418003725742747954852656581645557520590732261056020564376931006742997754269
skew: 29654.94
# norm 2.17e+15
c5: 11400
c4: -4564535842
c3: -33787724348993
c2: 4155617604175931241
c1: 23211893197472624221503
c0: -43709897113678688254743969
# alpha -6.34
Y1: 603982391419
Y0: -1836609473063635500152
# Murphy_E 9.27e-10
# M 94084022461141940107718860003564971933967674203863533458747794154722012115069391269788586720547840715494287834
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 1750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8270726
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 356337 x 356585
Polynomial selection time: 0.78 hours.
Total sieving time: 8.03 hours.
Total relation processing time: 0.56 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 9.71 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

23039273532370179312980101934737043218305545721719291739015604893316924875110279449529942626589569390358344993453474715802131975701995425861303573335131520535859786352883<170>

3029238009120866184274345315387011894129521<43>
679776460891127365680164499381757723798582319378637295351<57>
11188432898523632839484220414481435452661059309668165398028722268040373<71>

Number: 45559_173
N=23039273532370179312980101934737043218305545721719291739015604893316924875110279449529942626589569390358344993453474715802131975701995425861303573335131520535859786352883
  ( 170 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=3029238009120866184274345315387011894129521 (pp43)
 r2=679776460891127365680164499381757723798582319378637295351 (pp57)
 r3=11188432898523632839484220414481435452661059309668165398028722268040373 (pp71)
Version: Msieve-1.39
Total time: 113.83 hours.
Scaled time: 292.66 units (timescale=2.571).
Factorization parameters were as follows:
n: 23039273532370179312980101934737043218305545721719291739015604893316924875110279449529942626589569390358344993453474715802131975701995425861303573335131520535859786352883
m: 50000000000000000000000000000000000
deg: 5
c5: 328
c0: 775
skew: 1.19
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 8400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1341651 x 1341899
Total sieving time: 113.83 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,176,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 113.83 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

12857467053228888359038402117292738575095813075430920475548895756746086828976048455851669695004195364055392336879741661871273943735416022903<140>

465686455584851154921362326398309429657495535225550983999<57>
27609707989212009085611464196002914244067247946709879124129787164921655647229425097<83>

Number: 45559_174
N = 12857467053228888359038402117292738575095813075430920475548895756746086828976048455851669695004195364055392336879741661871273943735416022903 (140 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=465686455584851154921362326398309429657495535225550983999 (pp57)
r2=27609707989212009085611464196002914244067247946709879124129787164921655647229425097 (pp83)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 82.77 hours.
Factorization parameters were as follows:
n: 12857467053228888359038402117292738575095813075430920475548895756746086828976048455851669695004195364055392336879741661871273943735416022903
m: 100000000000000000000000000000000000
deg: 5
c5: 41
c0: 310
skew: 1.50
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [3000000, 8100000)
Relations: 16267646
Relations in full relation-set: 2017524 relations
Pruned matrix : 1221533 x 1221760
Polynomial selection time: 0.00 hours.
Total sieving time: 81.50 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 1.15 hours.
time per square root: 0.05 hours.

GGNFS, Msieve

50926988221893787461568064793788052709668962820942605425380942521565089480835963870187330611974652299621303223788665623283121<125>

167221431158851458482866332393991437937<39>
304548214119252809589773758908644345159276024067541452717749876188107083122649996237633<87>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3779279632
Step 1 took 22301ms
Step 2 took 15784ms
********** Factor found in step 2: 167221431158851458482866332393991437937
Found probable prime factor of 39 digits: 167221431158851458482866332393991437937
Probable prime cofactor 304548214119252809589773758908644345159276024067541452717749876188107083122649996237633 has 87 digits

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

PPC-G5, 2.5 GHz, Mac OS X

2440705544057136940897414256244493634761885387018454670703266332940237964302295381164127316241628946962776377616785931231798883079<130>

4108334764984386050218393427835037410514317223609<49>
594086335139832008091051042931766576676539974248166240156461273022688006764496831<81>

N = 2440705544057136940897414256244493634761885387018454670703266332940237964302295381164127316241628946962776377616785931231798883079 (130 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=4108334764984386050218393427835037410514317223609 (pp49)
r2=594086335139832008091051042931766576676539974248166240156461273022688006764496831 (pp81)
Version: Msieve v. 1.48
Total time: 42.78 hours.
Factorization parameters were as follows:
name: (41*10^176+31)/9
n: 2440705544057136940897414256244493634761885387018454670703266332940237964302295381164127316241628946962776377616785931231798883079
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 31
c1: 0
c2: 0
c3: 0
c4: 0
c5: 410
skew: 0.60
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 21241566
Relations: 2592108 relations
Pruned matrix : 1501372 x 1501597
Polynomial selection time: 0.00 hours.
Total sieving time: 39.55 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.03 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 42.78 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

3520938915134226600925437411058391558950733779832414304229605054717638459032489017773524303601080363582871973251402931919257700810206259814402002869685987548197<160>

5308369813053736836158372960695083248524875387799<49>
663280637772435467273733990442533600597705341249971107380648282697394239612740357552778635774254819208381175203<111>

N=3520938915134226600925437411058391558950733779832414304229605054717638459032489017773524303601080363582871973251402931919257700810206259814402002869685987548197
  ( 160 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=5308369813053736836158372960695083248524875387799 (pp49)
 r2=663280637772435467273733990442533600597705341249971107380648282697394239612740357552778635774254819208381175203 (pp111)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 115.82 hours.
Scaled time: 222.71 units (timescale=1.923).
Factorization parameters were as follows:
n: 3520938915134226600925437411058391558950733779832414304229605054717638459032489017773524303601080363582871973251402931919257700810206259814402002869685987548197
m: 1000000000000000000000000000000000000
deg: 5
c5: 41
c0: 31
skew: 0.95
# Murphy_E = 9.521e-11
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3700000, 9700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1300807 x 1301035
Total sieving time: 113.84 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.62 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 115.82 hours.
 --------- CPU info (if available) ----------

208807377753651808249505484144442853587740443173394063600134024804268247735162171186646919740585242586995782587047898805976160918748085438220158362731<150>

1382098886284429073031052506565811345689647893813333<52>
151079911738442924264195474347085415583375674975603783135816157179750004615215580063971037486991807<99>

N=208807377753651808249505484144442853587740443173394063600134024804268247735162171186646919740585242586995782587047898805976160918748085438220158362731
  ( 150 digits)
SNFS difficulty: 184 digits.
Divisors found:
 r1=1382098886284429073031052506565811345689647893813333 (pp52)
 r2=151079911738442924264195474347085415583375674975603783135816157179750004615215580063971037486991807 (pp99)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 240.76 hours.
Scaled time: 163.72 units (timescale=0.680).
Factorization parameters were as follows:
n: 208807377753651808249505484144442853587740443173394063600134024804268247735162171186646919740585242586995782587047898805976160918748085438220158362731
m: 1000000000000000000000000000000000000
deg: 5
c5: 41000
c0: 31
skew: 0.24
# Murphy_E = 4.345e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 16200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1980297 x 1980524
Total sieving time: 232.39 hours.
Total relation processing time: 0.78 hours.
Matrix solve time: 7.01 hours.
Time per square root: 0.57 hours.
Prototype def-par.txt line would be:
snfs,184.000,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 240.76 hours.
 --------- CPU info (if available) ----------

20870759203823904701871187226073902236757948538053583807108930284549879053968161073840759280993047482459049042992161979802749390982756983187064341474425507<155>

34008497648100591013052154037<29>
613692478267694301112861462527973809965834124804709250280401185930469290003364382565567322986277018807383528660445164767960311<126>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2010483597
Step 1 took 14823ms
Step 2 took 15166ms
********** Factor found in step 2: 34008497648100591013052154037
Found probable prime factor of 29 digits: 34008497648100591013052154037
Probable prime cofactor has 126 digits

GMP-ECM 6.2.1

7763056505444312338655061650569334944876756244043599553092774661005695184024790475441806332373447856390328622677431391045779722558700527570701577221462402083093597857347<169>

426801396472614872435821140686254692220021352664928305358540033512167<69>
18188920115078438447098997496083905646631288793656336148282571853794717638219977691713310028790825541<101>

Number: 45559_187
N=7763056505444312338655061650569334944876756244043599553092774661005695184024790475441806332373447856390328622677431391045779722558700527570701577221462402083093597857347
  ( 169 digits)
SNFS difficulty: 188 digits.
Divisors found: (Total dependency: 2)
 r1=426801396472614872435821140686254692220021352664928305358540033512167 (pp69)
 r2=18188920115078438447098997496083905646631288793656336148282571853794717638219977691713310028790825541 (pp101)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 383.74 hours (19.26 calendar hours).
Scaled time: 1732.57 units (timescale=4.515).
Factorization parameters were as follows:
n: 7763056505444312338655061650569334944876756244043599553092774661005695184024790475441806332373447856390328622677431391045779722558700527570701577221462402083093597857347
m: 10000000000000000000000000000000000000
deg: 5
c5: 4100
c0: 31
skew: 0.38
# Murphy_E = 3.268e-11
type: snfs
lss: 1
rlim: 9700000
alim: 9700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 27900000
qintsize: 5000

Polynomial score was as follows:
skew 0.38, size 2.038e-013, alpha 1.041, combined = 3.268e-011 rroots = 1
Factor base limits: 9700000/9700000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [4850000, 26690001)
Relations: raw-rels:28046374 rels:23694150, finalFF:1779737
Pruned matrix : 1779215 x 1779440
Total sieving time: 370.14 hours (17.10 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.03 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 13.34 hours (1.91 calendar hours).
Total time of square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9700000,9700000,28,28,54,54,2.5,2.5,100000
total time: 383.74 hours (19.26 calendar hours).
 --------- CPU info (if available) ----------

Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)

[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

1009185519456178394125225994779594931904534131800835471113800206283700707696441778307610706993083608681444768804247813921013789705141818715984071408166544161999<160>

370348843917424779939211049017713545929<39>
2724959281042585099614909841363085962513965017488907149393237179393224087946236045142859509364895737181621611394676655831<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2392801500
Step 1 took 79093ms
Step 2 took 27550ms
********** Factor found in step 2: 370348843917424779939211049017713545929
Found probable prime factor of 39 digits: 370348843917424779939211049017713545929

189024764803073269805516749862762941979428995399301205424612933461792707437071293129850346719734470554965165497093075143653074710812222259522615404989550594644644686696297<171>

39851434970484144828435349156003<32>
4743236095339451124911657751165018729393994052130281112840738761497417153390871883429816815069838248761715721446026550938237187794672084099<139>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=2412366714
Step 1 took 13613ms
Step 2 took 16052ms
********** Factor found in step 2: 39851434970484144828435349156003
Found probable prime factor of 32 digits: 39851434970484144828435349156003
Probable prime cofactor has 139 digits

GMP-ECM 6.2.1

11907555627872638566026082364389705566892621645437746236253885146316419156751225709255701983989814168644289987143312571718098474041440165162313297742879234561734043668898864043986955193<185>

7719565650308683949904211357338287016534660135200279583002729<61>
1542516271935129996648662199437734118599401038563408914521358367568864415139877194458873946265871691034281550269505779947217<124>

N=11907555627872638566026082364389705566892621645437746236253885146316419156751225709255701983989814168644289987143312571718098474041440165162313297742879234561734043668898864043986955193
  ( 185 digits)
SNFS difficulty: 194 digits.
Divisors found:
 r1=7719565650308683949904211357338287016534660135200279583002729 (pp61)
 r2=1542516271935129996648662199437734118599401038563408914521358367568864415139877194458873946265871691034281550269505779947217 (pp124)
Version: Msieve v. 1.47
Total time:
Scaled time: 23.66 units (timescale=1.196).
Factorization parameters were as follows:
n: 11907555627872638566026082364389705566892621645437746236253885146316419156751225709255701983989814168644289987143312571718098474041440165162313297742879234561734043668898864043986955193
m: 100000000000000000000000000000000000000
deg: 5
c5: 41000
c0: 31
skew: 0.24
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6150000, 34350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3101518 x 3101743
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,194.000,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time:

496921732653958951847772684080246514277447294214562829624476228640396926535540097359434371451253304426271869235101701988669989187138793346485668944647513986218823665764090040362971<180>

10119824092396606870923034732170032600367947214972605984004437<62>
49103791539945282552314349114211955066893485226471026664089467391799899081284468975022909838224626021174020316331523183<119>

p62 factor: 10119824092396606870923034732170032600367947214972605984004437
p119 factor: 49103791539945282552314349114211955066893485226471026664089467391799899081284468975022909838224626021174020316331523183


Msieve v. 1.54 (SVN 1032M)
random seeds: 811b6727 4f4125d1
factoring 496921732653958951847772684080246514277447294214562829624476228640396926535540097359434371451253304426271869235101701988669989187138793346485668944647513986218823665764090040362971 (180 digits)
searching for 15-digit factors
commencing number field sieve (180-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: 155
A1: 0
A2: 0
A3: 0
A4: 0
A5: 656
skew 1.00, size 6.785e-14, alpha 0.315, combined = 1.643e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2248058 hash collisions in 36300919 relations
added 726798 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37027717 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1230.1 MB
keeping 40054975 ideals with weight <= 200, target excess is 194639
commencing in-memory singleton removal
begin with 37027717 relations and 40054975 unique ideals
reduce to 13846685 relations and 12860786 ideals in 16 passes
max relations containing the same ideal: 104
removing 2103503 relations and 1723444 ideals in 380059 cliques
commencing in-memory singleton removal
begin with 11743182 relations and 12860786 unique ideals
reduce to 11464694 relations and 10848835 ideals in 10 passes
max relations containing the same ideal: 92
removing 1694983 relations and 1314924 ideals in 380059 cliques
commencing in-memory singleton removal
begin with 9769711 relations and 10848835 unique ideals
reduce to 9546539 relations and 9303067 ideals in 8 passes
max relations containing the same ideal: 83
removing 142377 relations and 124687 ideals in 17690 cliques
commencing in-memory singleton removal
begin with 9404162 relations and 9303067 unique ideals
reduce to 9402700 relations and 9176914 ideals in 5 passes
max relations containing the same ideal: 81
relations with 0 large ideals: 4047
relations with 1 large ideals: 7066
relations with 2 large ideals: 65420
relations with 3 large ideals: 343270
relations with 4 large ideals: 1071397
relations with 5 large ideals: 2087976
relations with 6 large ideals: 2664977
relations with 7+ large ideals: 3158547
commencing 2-way merge
reduce to 5821908 relation sets and 5596122 unique ideals
commencing full merge
memory use: 672.0 MB
found 2733125 cycles, need 2712322
weight of 2712322 cycles is about 244605444 (90.18/cycle)
distribution of cycle lengths:
1 relations: 236990
2 relations: 241034
3 relations: 249376
4 relations: 237979
5 relations: 227406
6 relations: 206589
7 relations: 190483
8 relations: 171174
9 relations: 151716
10+ relations: 799575
heaviest cycle: 28 relations
commencing cycle optimization
start with 20003328 relations
pruned 670687 relations
memory use: 589.4 MB
distribution of cycle lengths:
1 relations: 236990
2 relations: 247018
3 relations: 258901
4 relations: 245744
5 relations: 235335
6 relations: 212753
7 relations: 195958
8 relations: 174769
9 relations: 154079
10+ relations: 750775
heaviest cycle: 27 relations
RelProcTime: 724
elapsed time 00:12:07


Msieve v. 1.54 (SVN 1032M)
random seeds: 226df283 6ae15d2d
factoring 496921732653958951847772684080246514277447294214562829624476228640396926535540097359434371451253304426271869235101701988669989187138793346485668944647513986218823665764090040362971 (180 digits)
searching for 15-digit factors
commencing number field sieve (180-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: 155
A1: 0
A2: 0
A3: 0
A4: 0
A5: 656
skew 1.00, size 6.785e-14, alpha 0.315, combined = 1.643e-11 rroots = 1

commencing linear algebra
read 2712322 cycles
cycles contain 9240754 unique relations
read 9240754 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1166.1 MB
read 2712322 cycles
matrix is 2712145 x 2712322 (998.3 MB) with weight 293234965 (108.11/col)
sparse part has weight 231861881 (85.48/col)
filtering completed in 2 passes
matrix is 2711439 x 2711616 (998.2 MB) with weight 293209158 (108.13/col)
sparse part has weight 231852518 (85.50/col)
matrix starts at (0, 0)
matrix is 2711439 x 2711616 (998.2 MB) with weight 293209158 (108.13/col)
sparse part has weight 231852518 (85.50/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2711391 x 2711616 (952.2 MB) with weight 242037589 (89.26/col)
sparse part has weight 222500067 (82.05/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (12 threads)
memory use: 907.0 MB
linear algebra at 0.1%, ETA 2h29m
checkpointing every 1040000 dimensions
lanczos halted after 42881 iterations (dim = 2711389)
recovered 37 nontrivial dependencies
BLanczosTime: 8011
elapsed time 02:13:32


Msieve v. 1.54 (SVN 1032M)
random seeds: 30c3e9a8 a9cacd35
factoring 496921732653958951847772684080246514277447294214562829624476228640396926535540097359434371451253304426271869235101701988669989187138793346485668944647513986218823665764090040362971 (180 digits)
searching for 15-digit factors
commencing number field sieve (180-digit input)
R0: -500000000000000000000000000000000000000
R1: 1
A0: 155
A1: 0
A2: 0
A3: 0
A4: 0
A5: 656
skew 1.00, size 6.785e-14, alpha 0.315, combined = 1.643e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1356825 cycles
cycles contain 4625280 unique relations
read 4625280 relations
multiplying 4625280 relations
multiply complete, coefficients have about 146.46 million bits
initial square root is modulo 180511
sqrtTime: 401
p62 factor: 10119824092396606870923034732170032600367947214972605984004437
p119 factor: 49103791539945282552314349114211955066893485226471026664089467391799899081284468975022909838224626021174020316331523183
elapsed time 00:06:42

CADO-NFS/Msieve

1637652383275611666765570138885842892011884339616545326919798827240010386471234577768315878014191105615271972377830258491762703169747806246375212449136369927912224657<166>

11322172367593398934883837617787618145303018551546061175909984718827569544063<77>
144641181047812054033840354631524383150639881437709781944079309927824493583876478910387439<90>

Number: n
N=1637652383275611666765570138885842892011884339616545326919798827240010386471234577768315878014191105615271972377830258491762703169747806246375212449136369927912224657  ( 166 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Mar 30 10:33:32 2021  p77 factor: 11322172367593398934883837617787618145303018551546061175909984718827569544063
Tue Mar 30 10:33:32 2021  p90 factor: 144641181047812054033840354631524383150639881437709781944079309927824493583876478910387439
Tue Mar 30 10:33:32 2021  elapsed time 01:42:45 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 41x10^197+31 = 45(196)9
#
n: 1637652383275611666765570138885842892011884339616545326919798827240010386471234577768315878014191105615271972377830258491762703169747806246375212449136369927912224657
m: 1000000000000000000000000000000000000000
deg: 5
c5: 4100
c0: 31
skew: 0.38
# Murphy_E = 1.265e-11
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4414450 hash collisions in 29036983 relations (25979599 unique)
Msieve: matrix is 2099756 x 2099981 (732.8 MB)

Sieving start time : 2021/03/29 23:36:02
Sieving end time  : 2021/03/30 08:50:13

Total sieving time: 9hrs 14min 11secs.

Total relation processing time: 1hrs 24min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 38sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14300000,14300000,28,28,55,55,2.5,2.5,100000
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)

117726453264126586999230823550698953871257362669173024619962915526287995166379332287460401488649165229788641220334692172133253354149<132>

1177579993328123065167747303985169<34>

99973211103394714805860905273094570745409485602609634885743871602875795186460580903952741706542421<98>

Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=1851117601
Step 1 took 9840ms
Step 2 took 12537ms
********** Factor found in step 2: 1177579993328123065167747303985169
Found probable prime factor of 34 digits: 1177579993328123065167747303985169
Composite cofactor has 98 digits

GMP-ECM 6.2.1

769919774729479954260252004287433434868967097132810614035515482020445337244497267584169320759327275451746185991009400558667728757653941747103132424463313675582691171701463785893<177>

5522853331653847323812325941875356395719607286194728627605772781203600994371<76>
139406159913162758165246192420224590393639761396192252499582285361949321170475543984998237598588296183<102>

Number: n
N=769919774729479954260252004287433434868967097132810614035515482020445337244497267584169320759327275451746185991009400558667728757653941747103132424463313675582691171701463785893  ( 177 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Oct 13 03:49:07 2021  p76 factor: 5522853331653847323812325941875356395719607286194728627605772781203600994371
Wed Oct 13 03:49:07 2021  p102 factor: 139406159913162758165246192420224590393639761396192252499582285361949321170475543984998237598588296183
Wed Oct 13 03:49:07 2021  elapsed time 01:54:15 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 41x10^201+31 = 45(200)9
#
n: 769919774729479954260252004287433434868967097132810614035515482020445337244497267584169320759327275451746185991009400558667728757653941747103132424463313675582691171701463785893
m: 10000000000000000000000000000000000000000
deg: 5
c5: 410
c0: 31
skew: 0.60
# Murphy_E = 1.039e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8735197 hash collisions in 63909197 relations (56530454 unique)
Msieve: matrix is 2227116 x 2227342 (768.1 MB)

Sieving start time : 2021/10/12 10:32:27
Sieving end time  : 2021/10/13 01:52:35

Total sieving time: 15hrs 20min 8secs.

Total relation processing time: 1hrs 32min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 51sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118347] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239960K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2728K init, 4972K bss, 487276K reserved, 0K cma-reserved)
[    0.154098] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.48 BogoMIPS (lpj=12798968)
[    0.150212] smpboot: Total of 16 processors activated (102391.74 BogoMIPS)

11680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911681<203>

457387337981603800293347279194388993095518723402417924356630498257271643329743269622387958219<93>
25538336352856119614320678777293019262107045729253609068129147639376452298149730952253210525759589139805192099<110>

Number: n
N=11680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911681
  ( 203 digits)
SNFS difficulty: 206 digits.
Divisors found:

Fri Feb 20 21:41:51 2009  prp93 factor: 457387337981603800293347279194388993095518723402417924356630498257271643329743269622387958219
Fri Feb 20 21:41:51 2009  prp110 factor: 25538336352856119614320678777293019262107045729253609068129147639376452298149730952253210525759589139805192099
Fri Feb 20 21:41:51 2009  elapsed time 24:43:38 (Msieve 1.39 - dependency 3)

Version: GGNFS-0.77.1-20050930-k8
Total time: 171.01 hours.
Scaled time: 344.07 units (timescale=2.012).
Factorization parameters were as follows:
name: KA_4_5_202_9
n: 11680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911680911681
deg: 5
c5: 41
c0: 3100
m: 100000000000000000000000000000000000000000
skew: 2.38
type: snfs
rlim: 11000000
alim: 11000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 47599990)
Primes: RFBsize:726517, AFBsize:725685, largePrimes:32641643 encountered
Relations: rels:24382690, finalFF:56661
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9194383 hash collisions in 46991467 relations
Msieve: matrix is 3662245 x 3662493 (995.4 MB)

Total sieving time: 169.65 hours.
Total relation processing time: 1.36 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,11000000,11000000,29,29,58,58,2.5,2.5,100000
total time: 171.01 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: 3321556k/3407296k available (2912k kernel code, 84428k reserved, 1794k data, 1544k init, 2502088k highmem)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5660.92 BogoMIPS (lpj=2830461)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830447)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22643.63 BogoMIPS).

10391091853204271887043349114231308129071465330060825718518828595457851859652942940539566279440119688488823032784512433221581677050759739345908408145120608073840708567783008554574587570448982815651<197>

230454230267348953158887518549<30>
45089612115818448155796470649616724336674999001543316720183911839357510803560451459077985696357661739476679106474543100464107779255828793471990363456921813665099755799<167>

Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3108296035
Step 1 took 6098ms
********** Factor found in step 1: 230454230267348953158887518549
Found probable prime factor of 30 digits: 230454230267348953158887518549
Probable prime cofactor has 167 digits

GMP-ECM 6.2.1

61271181704394077921259815891547181780419896377632854522469730802601441655871101329759022905501460761090481682638669009884922663637145266319765005235366848039936495415654681141554572186805984113<194>

10545635696757932638811605193397142597852371675246694193619536896712735405681<77>
5810098458382248923928968489306447986317920929935140043009240708982843996234432372615674080983907403489790253756937473<118>

Number: n
N=61271181704394077921259815891547181780419896377632854522469730802601441655871101329759022905501460761090481682638669009884922663637145266319765005235366848039936495415654681141554572186805984113
  ( 194 digits)
SNFS difficulty: 206 digits.
Divisors found:

Tue Jun 29 03:18:58 2021  p77 factor: 10545635696757932638811605193397142597852371675246694193619536896712735405681
Tue Jun 29 03:18:58 2021  p118 factor: 5810098458382248923928968489306447986317920929935140043009240708982843996234432372615674080983907403489790253756937473
Tue Jun 29 03:18:58 2021  elapsed time 02:08:03 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 41x10^205+31 = 45(204)9
#
n: 61271181704394077921259815891547181780419896377632854522469730802601441655871101329759022905501460761090481682638669009884922663637145266319765005235366848039936495415654681141554572186805984113
m: 100000000000000000000000000000000000000000
deg: 5
c5: 41
c0: 31
skew: 0.95
# Murphy_E = 8.817e-12
type: snfs
lss: 1
rlim: 19400000
alim: 19400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19400000/19400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 44100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8358998 hash collisions in 58417452 relations (52252212 unique)
Msieve: matrix is 2272181 x 2272407 (793.7 MB)

Sieving start time : 2021/06/28 10:24:06
Sieving end time  : 2021/06/29 01:09:55

Total sieving time: 14hrs 45min 49secs.

Total relation processing time: 1hrs 39min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 30sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19400000,19400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

876176501745367075016671503793214364186887060743347665086453678272786316244348795700949035160847800855961534036739187170179264548777574248112385689400267217988789110511425279<174>

1070069228470543717270254743661227243653887168204715261<55>

818803567501601121315790384053423912605743523578868476214579482058502205637892451070064940908338325315848402808041364139<120>

GMP-ECM 7.0.5-dev [configured with GMP 6.0.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/core2/params.h
Running on MacPro.local
Input number is 876176501745367075016671503793214364186887060743347665086453678272786316244348795700949035160847800855961534036739187170179264548777574248112385689400267217988789110511425279 (174 digits)
[Mon Mar 15 01:49:12 2021]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:16373664955337319490
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 263765ms
Using 22 small primes for NTT
Estimated memory usage: 252.28MB
Initializing tables of differences for F took 99ms
Computing roots of F took 4447ms
Building F from its roots took 4424ms
Computing 1/F took 2065ms
Initializing table of differences for G took 133ms
Computing roots of G took 3471ms
Building G from its roots took 4472ms
Computing roots of G took 3465ms
Building G from its roots took 4461ms
Computing G * H took 1064ms
Reducing  G * H mod F took 1123ms
Computing roots of G took 3467ms
Building G from its roots took 4464ms
Computing G * H took 1073ms
Reducing  G * H mod F took 1129ms
Computing roots of G took 3468ms
Building G from its roots took 4456ms
Computing G * H took 1070ms
Reducing  G * H mod F took 1130ms
Computing roots of G took 3467ms
Building G from its roots took 4477ms
Computing G * H took 1091ms
Reducing  G * H mod F took 1115ms
Computing polyeval(F,G) took 8587ms
Computing product of all F(g_i) took 50ms
Step 2 took 68808ms
********** Factor found in step 2: 1070069228470543717270254743661227243653887168204715261
Found prime factor of 55 digits: 1070069228470543717270254743661227243653887168204715261
Composite cofactor 818803567501601121315790384053423912605743523578868476214579482058502205637892451070064940908338325315848402808041364139 has 120 digits

GMP-ECM 7.0.5-dev

818803567501601121315790384053423912605743523578868476214579482058502205637892451070064940908338325315848402808041364139<120>

936917736295929591520888781352017365951989851761<48>
873933255590519005792806982046378241399035368761229066433161987353671899<72>

818803567501601121315790384053423912605743523578868476214579482058502205637892451070064940908338325315848402808041364139=936917736295929591520888781352017365951989851761*873933255590519005792806982046378241399035368761229066433161987353671899

cado polynomial
n: 818803567501601121315790384053423912605743523578868476214579482058502205637892451070064940908338325315848402808041364139
skew: 12527.997
c0: 674873305818135017125096920
c1: -56151341633428722706082
c2: -24215587732464193875
c3: -245804433402727
c4: 2762386770
c5: 2457000
Y0: -99963650560585023510823
Y1: 170742547614006551
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.450e-06
# f(x) = 2457000*x^5+2762386770*x^4-245804433402727*x^3-24215587732464193875*x^2-56151341633428722706082*x+674873305818135017125096920
# g(x) = 170742547614006551*x-9996365056058502351082

cado parameters (extracts)
tasks.I = 12
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54

cado log (extracts)
Info:Square Root: Factors: 873933255590519005792806982046378241399035368761229066433161987353671899 936917736295929591520888781352017365951989851761
Info:Square Root: Total cpu/real time for sqrt: 2410.26/2786.53
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20013/34.270/42.878/47.410/1.048
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16137/34.450/37.939/43.390/0.823
Info:Polynomial Selection (size optimized): Total time: 5402.85
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4107.74
Info:Polynomial Selection (root optimized): Rootsieve time: 4076.43
Info:Generate Factor Base: Total cpu/real time for makefb: 11.96/14.0377
Info:Generate Free Relations: Total cpu/real time for freerel: 248.75/272.608
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13439964
Info:Lattice Sieving: Average J: 1886.85 for 271411 special-q, max bucket fill -bkmult 1.0,1s:1.255170
Info:Lattice Sieving: Total time: 315924s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 59.75/369.926
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 369.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 233.01/559.579
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 543.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.67/204.64
Info:Filtering - Merging: Merged matrix has 786052 rows and total weight 78967414 (100.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 95.21/106.287
Info:Filtering - Merging: Total cpu/real time for replay: 42.29/65.8061
Info:Linear Algebra: Total cpu/real time for bwc: 15836.4/19304.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 9350.16, iteration CPU time 0.25, COMM 0.07, cpu-wait 0.06, comm-wait 0.0 (24832 iterations)
Info:Linear Algebra: Lingen CPU time 4381.53, WCT time 4366.08
Info:Linear Algebra: Mksol: WCT time 5411.82, iteration CPU time 0.31, COMM 0.07, cpu-wait 0.05, comm-wait 0.0 (12288 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 54.09/59.934
Info:Square Root: Total cpu/real time for sqrt: 2410.26/2786.53
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 226392/79776
Info:root: Cleaning up computation data in /tmp/cado.6ixgbcs7
873933255590519005792806982046378241399035368761229066433161987353671899 936917736295929591520888781352017365951989851761

cado-nfs-3.0.0

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

43566385452754569096459999436835221043615786696507644439674436120986784435352062355039152530348283740081366301602694253282969884146075968703646266255114558177660651966561222597700857790149<188>

264768554146454222708303088562884358211580653419<48>
164545165090323508896555976853332050357459097349515533760811525499958205943231854503907836527227963546317511957655301329292757001282334934671<141>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=794902946
Step 1 took 120414ms
Step 2 took 37584ms
********** Factor found in step 2: 264768554146454222708303088562884358211580653419
Found probable prime factor of 48 digits: 264768554146454222708303088562884358211580653419

7372936829738226395448330036102034756132112022531982676044107209910406769060934391705827301326911037802539696206589833831447147273172362700945571955304825351580740572661758053049791042877997478707363048103<205>

28906538138629233054151689166853360678464028228946233442259084141037581880659097<80>
255061218136163014172584970755057904599056180678195448111825557085968523236402621134779474954831188617162532619242862478817599<126>

Number: n
N=7372936829738226395448330036102034756132112022531982676044107209910406769060934391705827301326911037802539696206589833831447147273172362700945571955304825351580740572661758053049791042877997478707363048103  ( 205 digits)
SNFS difficulty: 212 digits.
Divisors found:

Mon Jul 20 10:47:16 2020  p80 factor: 28906538138629233054151689166853360678464028228946233442259084141037581880659097
Mon Jul 20 10:47:16 2020  p126 factor: 255061218136163014172584970755057904599056180678195448111825557085968523236402621134779474954831188617162532619242862478817599
Mon Jul 20 10:47:16 2020  elapsed time 03:58:14 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 41x10^211+31 = 45(210)9
#
n: 7372936829738226395448330036102034756132112022531982676044107209910406769060934391705827301326911037802539696206589833831447147273172362700945571955304825351580740572661758053049791042877997478707363048103
m: 100000000000000000000000000000000000
deg: 6
c6: 410
c0: 31
skew: 0.65
# Murphy_E = 4.476e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 59200000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9144813 hash collisions in 59684791 relations (53089406 unique)
Msieve: matrix is 3003027 x 3003253 (1055.6 MB)

Sieving start time: 2020/07/19 06:00:34
Sieving end time  : 2020/07/20 06:48:02

Total sieving time: 24hrs 47min 28secs.

Total relation processing time: 3hrs 33min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 10sec.

Prototype def-par.txt line would be:
snfs,212,6,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149875] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.184729] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.29 BogoMIPS (lpj=11976592)
[    0.182226] smpboot: Total of 16 processors activated (95812.73 BogoMIPS)

2572653260210030259109547539610478984256501682733062293485767687818253130332284730262753475689914331275714475751264666137478335775488453184229544468866645739900551608273345678460105293975069<190>

45576739168153521630874369653826957787265498686690142266779732107241680416196199387068671203244111386086694790427198213012981859393983285046612370519249197390010458516569471880390842415201717161675130539479<206>

170563009662969746463938561499491<33>

267213502260616507917096899624881899638680784165156556366082870915031839096322835184895967981908923566857392558116553130331350188743649326484477170847875877627216989769180669<174>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4111315688
Step 1 took 37325ms
Step 2 took 13066ms
********** Factor found in step 2: 170563009662969746463938561499491
Found probable prime factor of 33 digits: 170563009662969746463938561499491

15050502800965777885966328657078926592799939707379209432510836665266876997707244405608741756679129087588757953184167034962052554666465528760056338550065915971642581630072657863239141<182>

72462051496206001232817662253567189605672160214816323096123039644095208205487813444754963275442566076367258624197045871991785867043454803922148121484617990418349548431709013917285085951267086675569<197>

234949477544632022681332767548948561267477793424122765126448201563787805186962996472831290925514397471442898511866369169251962608986126999911836760659937554068805531<165>

934325901354775270589254910387339<33>
1946717021684554259089198950684882751<37>
129173452928504126444567586267605927342093826244846469170881594346875926177982101143420430152079<96>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 234949477544632022681332767548948561267477793424122765126448201563787805186962996472831290925514397471442898511866369169251962608986126999911836760659937554068805531 (165 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2452743080
Step 1 took 11934ms
Step 2 took 2840ms
********** Factor found in step 2: 934325901354775270589254910387339
Found probable prime factor of 33 digits: 934325901354775270589254910387339
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2810630915
Step 1 took 8752ms
Step 2 took 4368ms
********** Factor found in step 2: 1946717021684554259089198950684882751
Found probable prime factor of 37 digits: 1946717021684554259089198950684882751
Probable prime cofactor 129173452928504126444567586267605927342093826244846469170881594346875926177982101143420430152079 has 96 digits

483700099088678897586830025390343433789308491302924888875737960228656220149371519545301181699685395725449337029442004078624518640660945104460941234097187816455620651643297765324483710118194408529<195>

17173233474221921589838499812633792149875630801874142882106367280113645370574009062212555530429436808853299849415348063968435894530721114408809521963180777017973316335423172807622424467471766001938017<200>

1668757360297901749177380832793484101347259190219661435636714373445944948580177596071<85>
10291030848940318980286500351075651711297404103893972550628395664840066243167387108157222606014767070663193408947127<116>

Number: 45559_219
N = 17173233474221921589838499812633792149875630801874142882106367280113645370574009062212555530429436808853299849415348063968435894530721114408809521963180777017973316335423172807622424467471766001938017 (200 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1668757360297901749177380832793484101347259190219661435636714373445944948580177596071 (pp85)
r2=10291030848940318980286500351075651711297404103893972550628395664840066243167387108157222606014767070663193408947127 (pp116)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 82.40 hours.
Factorization parameters were as follows:
n: 17173233474221921589838499812633792149875630801874142882106367280113645370574009062212555530429436808853299849415348063968435894530721114408809521963180777017973316335423172807622424467471766001938017
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 41
c0: 310
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: 8798308 relations
Pruned matrix : 7486920 x 7487145
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 42.00 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 39.75 hours.
time per square root: 0.18 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: 82.40 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

2453894173515569560302835127595014052080713614829592429670480512480462377461623610233079421379320737042581252015134640888651944650082317350292296181143437844334318877389735083641896441198126387214420258807030709<211>

14987041287685507656215079098093687<35>
163734397364466830625321613310054660625870996886955480161534889874071708428541847769767597888715724142384386052462885357264316163396999479251798157951658133907937822030382662707<177>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4155637843
Step 1 took 36467ms
Step 2 took 13143ms
********** Factor found in step 2: 14987041287685507656215079098093687
Found probable prime factor of 35 digits: 14987041287685507656215079098093687

452799766811423676291961695210635409844199388043590636674791365607469522291208863576227941805984321904814263897529923354498711899339119160415314779825982160204922241935728330165033629112921871451<195>

89837452886468516284210094602613206689970319318147<50>
2213374295941169813054266656942904314012983938872899158385544859349<67>
2277161865386368655371202470340573900215503842608598403827389646272714562878117<79>

Number: 45559_222
N = 452799766811423676291961695210635409844199388043590636674791365607469522291208863576227941805984321904814263897529923354498711899339119160415314779825982160204922241935728330165033629112921871451 (195 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=89837452886468516284210094602613206689970319318147 (pp50)
r2=2213374295941169813054266656942904314012983938872899158385544859349 (pp67)
r3=2277161865386368655371202470340573900215503842608598403827389646272714562878117 (pp79)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 88.78 hours.
Factorization parameters were as follows:
n: 452799766811423676291961695210635409844199388043590636674791365607469522291208863576227941805984321904814263897529923354498711899339119160415314779825982160204922241935728330165033629112921871451
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4100
c0: 31
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33522976
Relations: 12454540 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 37.09 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 10519988 x 10520213
Matrix solve time: 50.87 hours.
time per square root: 0.45 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 88.78 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

1939926801928647122875223343124435146196438015021135706311298441613237933789699457312865805567302230313840457963461078680517617903752636308196974777589346158313737146626053162324556153659023616087800763792398879<211>

83697121254372000269899009673950963<35>
23177939370612620272064639079611642564550332247989732558896509885901066785432632420231493735549750827907097775949247986265601303879463369036132037247046721014868278412795261733<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1344534498
Step 1 took 37232ms
Step 2 took 12652ms
********** Factor found in step 2: 83697121254372000269899009673950963
Found probable prime factor of 35 digits: 83697121254372000269899009673950963

104357496383322781821960506867058974997894613599840558707437402264083801944161225644276616688217127268672675316727033312933130327469391511636345943653861284669902328925886893600614629673269262047105887989502463393331<216>

763481405958585008176224136189952915376653939334802841920911306613231928392213947828354911833516082412583673396280289500994241123058304296777598805957664123510914490941<168>

166831081157806655342956158105811046225791500913211142329776540654516759379702538183727234825069459286365083057712081961133383337132883795658171592630976741792461308975824266449824499924995194629137097<201>

97932366276550654666845241892543<32>
218757797033840376915506650855837<33>

7787304822356267716703422702182778856015251662349004898925010234760733256373244767205316920861958571671216949741817905154969265928415267<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3798201966
Step 1 took 35888ms
Step 2 took 12632ms
********** Factor found in step 2: 97932366276550654666845241892543
Found probable prime factor of 32 digits: 97932366276550654666845241892543

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2926154772
Step 1 took 26843ms
Step 2 took 10270ms
********** Factor found in step 2: 218757797033840376915506650855837
Found probable prime factor of 33 digits: 218757797033840376915506650855837

7787304822356267716703422702182778856015251662349004898925010234760733256373244767205316920861958571671216949741817905154969265928415267<136>

179019916320087920574388520152981641762567810152057582843483924827<66>
43499656252953180924266225107901141484781862304076717052822984668245721<71>

<Polynomial selection using msieve 1.51 (SVN 845) on Intel Xeon W3530 @ 2.8GHz>
n: 7787304822356267716703422702182778856015251662349004898925010234760733256373244767205316920861958571671216949741817905154969265928415267
# norm 4.501875e-013 alpha -6.832775 e 3.488e-011 rroots 5
skew: 883356.13
c0: -4374455823907630133021222770060065
c1: 9303537694425599385950286511
c2: 36292383340996712820843
c3: -44820750414592151
c4: -60817968434
c5: 10032
Y0: -238781520113002344511044904
Y1: 354775858161701
type: gnfs
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5


<Sieving on various hosts between 2013-11-21 19:29:13 and 2013-11-24 21:41:13>
<   2013-11-21 21:39:03 .. 2013-11-22 19:58:50; 8 threads on Intel Xeon E5-2680 v2 @ 2.8GHz; 14723431 relations>
<   2013-11-21 19:29:13 .. 2013-11-24 21:41:13; 1 thread on Intel Xeon W3530 @ 2.8GHz; 7401239 relations>
<   2013-11-24 19:26:06 .. 2013-11-24 21:29:43; 2 threads on Intel Core 2 6600 @ 2.4GHz; 188076 relations>
<Sieved region: [4.9e6; 15.56e6] U [15.7e6; 15.8e6]>

<Post processing using one thread on Intel Xeon W3530 @ 2.8GHz>

Sun Nov 24 21:55:24 2013  
Sun Nov 24 21:55:24 2013  Msieve v. 1.51 (SVN 845)
Sun Nov 24 21:55:24 2013  random seeds: 1316e34c fba7a528
Sun Nov 24 21:55:24 2013  factoring 7787304822356267716703422702182778856015251662349004898925010234760733256373244767205316920861958571671216949741817905154969265928415267 (136 digits)
Sun Nov 24 21:55:25 2013  searching for 15-digit factors
Sun Nov 24 21:55:26 2013  commencing number field sieve (136-digit input)
Sun Nov 24 21:55:26 2013  R0: -238781520113002344511044904
Sun Nov 24 21:55:26 2013  R1: 354775858161701
Sun Nov 24 21:55:26 2013  A0: -4374455823907630133021222770060065
Sun Nov 24 21:55:26 2013  A1: 9303537694425599385950286511
Sun Nov 24 21:55:26 2013  A2: 36292383340996712820843
Sun Nov 24 21:55:26 2013  A3: -44820750414592151
Sun Nov 24 21:55:26 2013  A4: -60817968434
Sun Nov 24 21:55:26 2013  A5: 10032
Sun Nov 24 21:55:26 2013  skew 883356.13, size 3.723e-013, alpha -6.833, combined = 3.488e-011 rroots = 5
Sun Nov 24 21:55:26 2013  
Sun Nov 24 21:55:26 2013  commencing relation filtering
Sun Nov 24 21:55:26 2013  estimated available RAM is 4096.0 MB
Sun Nov 24 21:55:26 2013  commencing duplicate removal, pass 1
Sun Nov 24 21:57:24 2013  error -15 reading relation 19462222
Sun Nov 24 21:57:37 2013  error -15 reading relation 21535347
Sun Nov 24 21:57:38 2013  error -9 reading relation 21772561
Sun Nov 24 21:57:42 2013  found 3362483 hash collisions in 22312743 relations
Sun Nov 24 21:58:26 2013  added 120754 free relations
Sun Nov 24 21:58:26 2013  commencing duplicate removal, pass 2
Sun Nov 24 21:58:41 2013  found 3031840 duplicates and 19401657 unique relations
Sun Nov 24 21:58:41 2013  memory use: 98.6 MB
Sun Nov 24 21:58:41 2013  reading ideals above 15532032
Sun Nov 24 21:58:46 2013  commencing singleton removal, initial pass
Sun Nov 24 22:00:59 2013  memory use: 376.5 MB
Sun Nov 24 22:00:59 2013  reading all ideals from disk
Sun Nov 24 22:01:00 2013  memory use: 326.3 MB
Sun Nov 24 22:01:00 2013  commencing in-memory singleton removal
Sun Nov 24 22:01:01 2013  begin with 19401657 relations and 19242926 unique ideals
Sun Nov 24 22:01:08 2013  reduce to 7671584 relations and 5545947 ideals in 19 passes
Sun Nov 24 22:01:08 2013  max relations containing the same ideal: 29
Sun Nov 24 22:01:09 2013  reading ideals above 100000
Sun Nov 24 22:01:09 2013  commencing singleton removal, initial pass
Sun Nov 24 22:02:17 2013  memory use: 188.3 MB
Sun Nov 24 22:02:17 2013  reading all ideals from disk
Sun Nov 24 22:02:17 2013  memory use: 294.1 MB
Sun Nov 24 22:02:18 2013  keeping 7504212 ideals with weight <= 200, target excess is 41291
Sun Nov 24 22:02:18 2013  commencing in-memory singleton removal
Sun Nov 24 22:02:19 2013  begin with 7671729 relations and 7504212 unique ideals
Sun Nov 24 22:02:32 2013  reduce to 7595959 relations and 7427661 ideals in 17 passes
Sun Nov 24 22:02:32 2013  max relations containing the same ideal: 200
Sun Nov 24 22:02:36 2013  removing 701572 relations and 641372 ideals in 60200 cliques
Sun Nov 24 22:02:36 2013  commencing in-memory singleton removal
Sun Nov 24 22:02:36 2013  begin with 6894387 relations and 7427661 unique ideals
Sun Nov 24 22:02:45 2013  reduce to 6841453 relations and 6732686 ideals in 13 passes
Sun Nov 24 22:02:45 2013  max relations containing the same ideal: 191
Sun Nov 24 22:02:48 2013  removing 509746 relations and 449547 ideals in 60200 cliques
Sun Nov 24 22:02:49 2013  commencing in-memory singleton removal
Sun Nov 24 22:02:49 2013  begin with 6331707 relations and 6732686 unique ideals
Sun Nov 24 22:02:55 2013  reduce to 6300566 relations and 6251734 ideals in 9 passes
Sun Nov 24 22:02:55 2013  max relations containing the same ideal: 182
Sun Nov 24 22:03:00 2013  relations with 0 large ideals: 144
Sun Nov 24 22:03:00 2013  relations with 1 large ideals: 81
Sun Nov 24 22:03:00 2013  relations with 2 large ideals: 1340
Sun Nov 24 22:03:00 2013  relations with 3 large ideals: 17168
Sun Nov 24 22:03:00 2013  relations with 4 large ideals: 121742
Sun Nov 24 22:03:00 2013  relations with 5 large ideals: 498520
Sun Nov 24 22:03:00 2013  relations with 6 large ideals: 1234502
Sun Nov 24 22:03:00 2013  relations with 7+ large ideals: 4427069
Sun Nov 24 22:03:00 2013  commencing 2-way merge
Sun Nov 24 22:03:04 2013  reduce to 3617379 relation sets and 3568550 unique ideals
Sun Nov 24 22:03:04 2013  ignored 3 oversize relation sets
Sun Nov 24 22:03:04 2013  commencing full merge
Sun Nov 24 22:04:06 2013  memory use: 376.2 MB
Sun Nov 24 22:04:07 2013  found 1885545 cycles, need 1880750
Sun Nov 24 22:04:07 2013  weight of 1880750 cycles is about 131841994 (70.10/cycle)
Sun Nov 24 22:04:07 2013  distribution of cycle lengths:
Sun Nov 24 22:04:07 2013  1 relations: 277335
Sun Nov 24 22:04:07 2013  2 relations: 244654
Sun Nov 24 22:04:07 2013  3 relations: 227420
Sun Nov 24 22:04:07 2013  4 relations: 196620
Sun Nov 24 22:04:07 2013  5 relations: 167999
Sun Nov 24 22:04:07 2013  6 relations: 139185
Sun Nov 24 22:04:07 2013  7 relations: 118631
Sun Nov 24 22:04:07 2013  8 relations: 96858
Sun Nov 24 22:04:07 2013  9 relations: 79879
Sun Nov 24 22:04:07 2013  10+ relations: 332169
Sun Nov 24 22:04:07 2013  heaviest cycle: 27 relations
Sun Nov 24 22:04:07 2013  commencing cycle optimization
Sun Nov 24 22:04:10 2013  start with 10671309 relations
Sun Nov 24 22:04:29 2013  pruned 210878 relations
Sun Nov 24 22:04:29 2013  memory use: 289.5 MB
Sun Nov 24 22:04:29 2013  distribution of cycle lengths:
Sun Nov 24 22:04:29 2013  1 relations: 277335
Sun Nov 24 22:04:29 2013  2 relations: 249752
Sun Nov 24 22:04:29 2013  3 relations: 234336
Sun Nov 24 22:04:29 2013  4 relations: 199830
Sun Nov 24 22:04:29 2013  5 relations: 170455
Sun Nov 24 22:04:29 2013  6 relations: 139826
Sun Nov 24 22:04:29 2013  7 relations: 118239
Sun Nov 24 22:04:29 2013  8 relations: 95630
Sun Nov 24 22:04:29 2013  9 relations: 78983
Sun Nov 24 22:04:29 2013  10+ relations: 316364
Sun Nov 24 22:04:29 2013  heaviest cycle: 27 relations
Sun Nov 24 22:04:31 2013  RelProcTime: 545
Sun Nov 24 22:04:31 2013  elapsed time 00:09:07
Sun Nov 24 22:05:41 2013  
...<snip>...
Sun Nov 24 22:05:43 2013  commencing linear algebra
Sun Nov 24 22:05:43 2013  read 1880750 cycles
Sun Nov 24 22:05:47 2013  cycles contain 6228116 unique relations
Sun Nov 24 22:06:25 2013  read 6228116 relations
Sun Nov 24 22:06:39 2013  using 20 quadratic characters above 268434714
Sun Nov 24 22:07:06 2013  building initial matrix
Sun Nov 24 22:08:25 2013  memory use: 740.3 MB
Sun Nov 24 22:08:28 2013  read 1880750 cycles
Sun Nov 24 22:08:29 2013  matrix is 1880570 x 1880750 (542.8 MB) with weight 180190047 (95.81/col)
Sun Nov 24 22:08:29 2013  sparse part has weight 127238643 (67.65/col)
Sun Nov 24 22:08:47 2013  filtering completed in 2 passes
Sun Nov 24 22:08:48 2013  matrix is 1879553 x 1879733 (542.7 MB) with weight 180150117 (95.84/col)
Sun Nov 24 22:08:48 2013  sparse part has weight 127230133 (67.69/col)
Sun Nov 24 22:08:52 2013  matrix starts at (0, 0)
Sun Nov 24 22:08:53 2013  matrix is 1879553 x 1879733 (542.7 MB) with weight 180150117 (95.84/col)
Sun Nov 24 22:08:53 2013  sparse part has weight 127230133 (67.69/col)
Sun Nov 24 22:08:53 2013  saving the first 48 matrix rows for later
Sun Nov 24 22:08:54 2013  matrix includes 64 packed rows
Sun Nov 24 22:08:54 2013  matrix is 1879505 x 1879733 (523.1 MB) with weight 143916594 (76.56/col)
Sun Nov 24 22:08:54 2013  sparse part has weight 125858483 (66.96/col)
Sun Nov 24 22:08:54 2013  using block size 65536 for processor cache size 8192 kB
Sun Nov 24 22:09:06 2013  commencing Lanczos iteration
Sun Nov 24 22:09:06 2013  memory use: 432.7 MB
Sun Nov 24 22:09:30 2013  linear algebra at 0.1%, ETA 7h53m
Sun Nov 24 22:09:38 2013  checkpointing every 240000 dimensions
Mon Nov 25 06:04:47 2013  lanczos halted after 29725 iterations (dim = 1879503)
Mon Nov 25 06:04:51 2013  recovered 30 nontrivial dependencies
Mon Nov 25 06:04:51 2013  BLanczosTime: 28748
Mon Nov 25 06:04:51 2013  
Mon Nov 25 06:04:51 2013  commencing square root phase
Mon Nov 25 06:04:51 2013  reading relations for dependency 1
Mon Nov 25 06:04:53 2013  read 940408 cycles
Mon Nov 25 06:04:54 2013  cycles contain 3115548 unique relations
Mon Nov 25 06:05:26 2013  read 3115548 relations
Mon Nov 25 06:05:44 2013  multiplying 3115548 relations
Mon Nov 25 06:13:42 2013  multiply complete, coefficients have about 147.75 million bits
Mon Nov 25 06:13:46 2013  initial square root is modulo 200903
Mon Nov 25 06:23:38 2013  GCD is 1, no factor found
Mon Nov 25 06:23:38 2013  reading relations for dependency 2
Mon Nov 25 06:23:38 2013  read 940355 cycles
Mon Nov 25 06:23:40 2013  cycles contain 3116032 unique relations
Mon Nov 25 06:24:04 2013  read 3116032 relations
Mon Nov 25 06:24:21 2013  multiplying 3116032 relations
Mon Nov 25 06:32:18 2013  multiply complete, coefficients have about 147.78 million bits
Mon Nov 25 06:32:21 2013  initial square root is modulo 201209
Mon Nov 25 06:42:11 2013  sqrtTime: 2240
Mon Nov 25 06:42:11 2013  prp66 factor: 179019916320087920574388520152981641762567810152057582843483924827
Mon Nov 25 06:42:11 2013  prp71 factor: 43499656252953180924266225107901141484781862304076717052822984668245721
Mon Nov 25 06:42:11 2013  elapsed time 08:36:30

GGNFS (SVN 440), msieve 1.51 (SVN 845)

49530289458746743576449623364460642973394090011938117307013321283280520867923679928626179724420634450939282563884355322211734729091745931207876460683092310853770138567891382611107808303060533406271371135501<206>

210609272783375420618021679517289475475943103802952699287415119014233901471434023125829057127625420251136677147919215774685970974145236363089844376541418061932474823996494682633928616483753506437386363976583<207>

925852974614397043000650696108276853<36>

227475936847414476917981434271071083631212449918053025412483393494398253279142794516478715630063355504223570881191432171500161045812879074828691220216606940958044162230411<171>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1154372306
Step 1 took 37143ms
Step 2 took 13054ms
********** Factor found in step 2: 925852974614397043000650696108276853
Found probable prime factor of 36 digits: 925852974614397043000650696108276853

25062524733749192562389776260339167093744721883022377101891182384723292843762749866238826558251252079190594990792076960218619543096737700525422474344470629142238180441007354222545703425160564550985846452657419877147<215>

6140301890757955266859257842581407122748269747290926214645036737459614898314781144621232032191014040400877562174640556090979629869578207795237956943214366795533543243157167144681749804973110704660199288589339976601167343<220>

88164136678495713395164347627320302673932251666893528042754015392598126146536966469888614289858307330288875169689083796141292275509916637583253286748263650335012967654298528497551939965813818416714028010821395156606386050971343<227>

5968401640400178010271299045680118897<37>

14771816977214079893780577062934829812034945517854536015718141488897825083965133438621853401412550519404872965141574588511596797196967829434134024238516283230967990451994732233199975762265919<191>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3899073922
Step 1 took 42857ms
Step 2 took 14498ms
********** Factor found in step 2: 5968401640400178010271299045680118897
Found probable prime factor of 37 digits: 5968401640400178010271299045680118897

1803632419786117475886054628847045945984651281407049566222191333050971597030324563721103504988702202392507381607920607884017389721677995439216447490066457394774467013114157<172>

40518481708916022120846424997208329<35>

44513820452192098502321814930176591917791785321946190010652642152454468973952997000769213871077918224946076637172155389596230061880521733<137>

GMP-ECM 6.4.4 [configured with GMP 5.1.2] [ECM]
Input number is 1803632419786117475886054628847045945984651281407049566222191333050971597030324563721103504988702202392507381607920607884017389721677995439216447490066457394774467013114157 (172 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=711742945
Step 1 took 13042ms
Step 2 took 5631ms
********** Factor found in step 2: 40518481708916022120846424997208329
Found probable prime factor of 35 digits: 40518481708916022120846424997208329
Composite cofactor 44513820452192098502321814930176591917791785321946190010652642152454468973952997000769213871077918224946076637172155389596230061880521733 has 137 digits

44513820452192098502321814930176591917791785321946190010652642152454468973952997000769213871077918224946076637172155389596230061880521733<137>

9955282541910784518711901408009790318631539591546557509770623<61>
4471376906159436910638042476541736367231829070937192567247067620875291752571<76>

Number: 45559_233
N = 44513820452192098502321814930176591917791785321946190010652642152454468973952997000769213871077918224946076637172155389596230061880521733 (137 digits)
Divisors found:
r1=9955282541910784518711901408009790318631539591546557509770623 (pp61)
r2=4471376906159436910638042476541736367231829070937192567247067620875291752571 (pp76)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 126.02 hours.
Factorization parameters were as follows:
# Murphy_E = 3.114e-11, selected by Erik Branger
# expecting poly E from 3.28e-011 to > 3.77e-011
n: 44513820452192098502321814930176591917791785321946190010652642152454468973952997000769213871077918224946076637172155389596230061880521733
Y0: -351331289764031543028069071
Y1: 369467818719823
c0: -1513670014137410860173099821953488
c1: 22407872085455476985895322576
c2: 125797494352638977893666
c3: 20626977480610333
c4: -68482541328
c5: 8316
skew: 1258046.72
type: gnfs
# selected mechanically
rlim: 14800000
alim: 14800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14800000/14800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22635248
Relations: 3738362 relations
Pruned matrix : 2246671 x 2246898
Polynomial selection time: 0.00 hours.
Total sieving time: 122.46 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 3.33 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14800000,14800000,28,28,55,55,2.6,2.6,100000
total time: 126.02 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

3483247989080180776855598057091219111369428609687957760093292617582243242825088476873832974522109265553024210077329515256576244986225067638728495273541037796093514211567005247578797507392318992576121967049534340810904927191<223>

12530576326840445785058901115778839335233720831159460206170316200363596589261950928939417892980629530313122082808021397145948785033422301514714271951634810627436418679821608132805651160238581982077<197>

20113921142436339686083587201757783412102004451<47>
622980285052596869878032821280008118641991928427911711697274027706692012608188913800545754171006025732261663719302609780978915277988624732552304656927<150>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2879351973
Step 1 took 99438ms
Step 2 took 2178ms
********** Factor found in step 2: 20113921142436339686083587201757783412102004451
Found probable prime factor of 47 digits: 20113921142436339686083587201757783412102004451

319555577690624839491520047163285651744122651977709985231076483756951015793138112933902890489316750425301194771540754364720004233721702476766166141309502904799171400181086690050340915140145775019311678844462090147563751142898317649<231>

1737043953316822455946345506606243333480155328993609936576949235817433974761495337338372503350391935736196272636228685390886551838262101404564945529525624569390700180856053464774192917516758682812893743427099130005522660971<223>

17500871737431686735358136502061652470239<41>
99254710244036086218656445009770720331384560792222439529276857569425219487022962799978624675128526522997361645054284233437944246103789011757495760526699567848473616659033904510342389<182>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3314862807
Step 1 took 42582ms
Step 2 took 14440ms
********** Factor found in step 2: 17500871737431686735358136502061652470239
Found probable prime factor of 41 digits: 17500871737431686735358136502061652470239

1409977175339613042102373962832720965362862926968642375232773687601265791447373734196611200286597233341395272547850385425373493988210713138683895906857445332911843946011965155650143768883164906200575685135080865894441630597267183<229>

3992363795482693737974983342222968472366967617618631818437448908971442260479003190770918669319656103189013201371318535049255403136035391955266830376547395064955297158744834575462598498926444295751146403460184448919472799<220>

5449603761104911788081359558958623095245023070611750733098309468182645947629384947737442615290258716177002688875700050284025572374641060020663807541357604518046899175659307052550078479145636429762169841454956904221101844830834908657603<235>

44449579617575603582018409531137379227612530026984217562529466724141975605156567460986028493556568072608056486892933809584439069681854567719170575375213155431814736343964478376710652705354729430722796429047374965666439<218>

45555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559<245>

416093349107700161270447261642717906908763696311<48>
109483979143738039766756003056610115406838340559749470146458964810016421181787766162097188394110126450997465172592054503381280448483813745903329849848485083635544590215438043675606020420175287289169<198>

via yoyo@home
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 45555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559 (245 digits)
[Tue Dec 25 23:50:14 2018]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:9091836226399722886
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+07 3.6e+08
Writing checkpoint to checkpnt at p = 110000000
Step 1 took 529859ms
Using 29 small primes for NTT
Estimated memory usage: 656.00MB
Initializing tables of differences for F took 360ms
Computing roots of F took 14453ms
Building F from its roots took 8250ms
Computing 1/F took 2922ms
Initializing table of differences for G took 297ms
Computing roots of G took 12671ms
Building G from its roots took 7750ms
Computing roots of G took 12407ms
Building G from its roots took 7781ms
Computing G * H took 1735ms
Reducing  G * H mod F took 2031ms
Computing roots of G took 12266ms
Building G from its roots took 7890ms
Computing G * H took 1797ms
Reducing  G * H mod F took 1890ms
Computing roots of G took 12625ms
Building G from its roots took 8079ms
Computing G * H took 1687ms
Reducing  G * H mod F took 1891ms
Computing polyeval(F,G) took 14906ms
Computing product of all F(g_i) took 78ms
Step 2 took 134297ms
********** Factor found in step 2: 416093349107700161270447261642717906908763696311
Found prime factor of 48 digits: 416093349107700161270447261642717906908763696311
Prime cofactor 109483979143738039766756003056610115406838340559749470146458964810016421181787766162097188394110126450997465172592054503381280448483813745903329849848485083635544590215438043675606020420175287289169 has 198 digits
Peak memory usage: 828MB

GMP-ECM 7.0.5-dev

151441383548922013484235032181280138674676227690453924996834043614775274606865687928324388522309963106179774381111027806954466887971967719401369727242434764415290173514956785322220689614170800599017190591547<207>

719645318898291574124479272496753546746606759981346543950616400419019603117628577975292861879508605342008619895235618077027702760176897240725632755780045288784969849206376073766013454185943344820794867768425767<210>

151851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851853<249>