30101814962372731297034085878707392651615759185480301018149623727312970340858787073926516157591854803<101>

475408704971357587178647157962547319178567<42>
63317761428424632567026630310285880151845690096680698073109<59>

N=30101814962372731297034085878707392651615759185480301018149623727312970340858787073926516157591854803
  ( 101 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=475408704971357587178647157962547319178567 (pp42)
 r2=63317761428424632567026630310285880151845690096680698073109 (pp59)
Version: Msieve-1.40
Total time: 0.42 hours.
Scaled time: 0.79 units (timescale=1.911).
Factorization parameters were as follows:
n: 30101814962372731297034085878707392651615759185480301018149623727312970340858787073926516157591854803
m: 20000000000000000000000000
deg: 4
c4: 425
c0: -23
skew: 0.48
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [190000, 280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 34910 x 35140
Total sieving time: 0.40 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,380000,380000,25,25,43,43,2.2,2.2,10000
total time: 0.42 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

943014265637498297505998356358191789999906362475486416043098179590323289763284335407138471<90>

7708013546252113778869071536500067456077<40>
122342061281926836162513959260860360435732273533123<51>

Used 4th degree poly for snfs,

n: 943014265637498297505998356358191789999906362475486416043098179590323289763284335407138471
m: 100000000000000000000000000
deg: 4
c4: 68
c0: -23
skew: 0.76
type: snfs
lss: 1
rlim: 100000
alim: 100000
lpbr: 23
lpba: 23
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4

total time: about 12 min.

Msieve v. 1.44
Mon Dec 14 18:03:45 2009
random seeds: f7271fc6 28bb6c01
factoring 943014265637498297505998356358191789999906362475486416043098179590323289763284335407138471 (90 digits)
searching for 15-digit factors
commencing number field sieve (90-digit input)
R0: -100000000000000000000000000
R1:  1
A0: -23
A1:  0
A2:  0
A3:  0
A4:  68
skew 0.76, size 5.461466e-11, alpha -0.039522, combined = 2.254282e-07

commencing square root phase
reading relations for dependency 1
read 18586 cycles
cycles contain 30766 unique relations
read 30766 relations
multiplying 30766 relations
multiply complete, coefficients have about 0.75 million bits
initial square root is modulo 9200017
sqrtTime: 1
prp40 factor: 7708013546252113778869071536500067456077
prp51 factor: 122342061281926836162513959260860360435732273533123
elapsed time 00:00:02

37524474510009579674220059739386293496039978825802551255260543479116411715083896880512856333<92>

55841787356899758089337509139209931113<38>
671978392635978033818610453543331621206951997598183941<54>

~12 mins. sieve time

prp38 factor: 55841787356899758089337509139209931113
prp54 factor: 671978392635978033818610453543331621206951997598183941

6186944805212817714994638988045665381473731776907568352732376537999225070830777559784091<88>

194946478745404642036108878353<30>
31736632767257197268708000583187127425753435733110756525547<59>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=720988234
Step 1 took 8113ms
Step 2 took 3832ms
********** Factor found in step 2: 194946478745404642036108878353
Found probable prime factor of 30 digits: 194946478745404642036108878353
Probable prime cofactor 31736632767257197268708000583187127425753435733110756525547 has 59 digits

5376806897123291439101867807335244813974440690322225025701357944450480030746339773031135767<91>

3046332219582280736969449366056318755789<40>
1765010021743646241126701494557487844073819577055603<52>

~41 mins total

prp40 factor: 3046332219582280736969449366056318755789
prp52 factor: 1765010021743646241126701494557487844073819577055603

6678694405995298965223714114871599104453867100090361753152174336867276083780960548883392519824943169466949925811<112>

127468924906638624877222907711<30>
52394686868873641010380131832209559693086903605068551738708211241825910072617577101<83>

N=6678694405995298965223714114871599104453867100090361753152174336867276083780960548883392519824943169466949925811
  ( 112 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=127468924906638624877222907711 (pp30)
 r2=52394686868873641010380131832209559693086903605068551738708211241825910072617577101 (pp83)
Version: Msieve-1.40
Total time: 1.10 hours.
Scaled time: 2.17 units (timescale=1.969).
Factorization parameters were as follows:
n: 6678694405995298965223714114871599104453867100090361753152174336867276083780960548883392519824943169466949925811
m: 200000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 78114 x 78339
Total sieving time: 1.06 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,119.000,5,0,0,0,0,0,0,0,0,700000,700000,25,25,45,45,2.2,2.2,50000
total time: 1.10 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1735114610277596319882101492881858349358905458206119477631290544003282647794410274481437<88>

17163877973414236572565193518549799<35>
101091059547567240552656506384975203422975075543975963<54>

12/14/09 22:17:32 v1.14 @ REPGMAIL, starting SIQS on c88: 1735114610277596319882101492881858349358905458206119477631290544003282647794410274481437
12/14/09 22:17:32 v1.14 @ REPGMAIL, random seeds: 0, 3887612160
12/14/09 22:17:33 v1.14 @ REPGMAIL, ==== sieve params ====
12/14/09 22:17:33 v1.14 @ REPGMAIL, n = 89 digits, 294 bits
12/14/09 22:17:33 v1.14 @ REPGMAIL, factor base: 60488 primes (max prime = 1597793)
12/14/09 22:17:33 v1.14 @ REPGMAIL, single large prime cutoff: 175757230 (110 * pmax)
12/14/09 22:17:33 v1.14 @ REPGMAIL, double large prime range from 43 to 50 bits
12/14/09 22:17:33 v1.14 @ REPGMAIL, double large prime cutoff: 693176384915362
12/14/09 22:17:33 v1.14 @ REPGMAIL, allocating 12 large prime slices of factor base
12/14/09 22:17:33 v1.14 @ REPGMAIL, buckets hold 1024 elements
12/14/09 22:17:33 v1.14 @ REPGMAIL, sieve interval: 18 blocks of size 32768
12/14/09 22:17:33 v1.14 @ REPGMAIL, polynomial A has ~ 11 factors
12/14/09 22:17:33 v1.14 @ REPGMAIL, using multiplier of 13
12/14/09 22:17:33 v1.14 @ REPGMAIL, using small prime variation correction of 20 bits
12/14/09 22:17:33 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
12/14/09 22:17:33 v1.14 @ REPGMAIL, trial factoring cutoff at 98 bits
12/14/09 22:17:33 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
12/14/09 22:31:20 v1.14 @ REPGMAIL, trial division touched 13149469 sieve locations out of 20630231580672
12/14/09 22:31:20 v1.14 @ REPGMAIL, 61829 relations found: 19559 full + 42270 from 580301 partial, using 17488464 polys (735 A polys)
12/14/09 22:31:20 v1.14 @ REPGMAIL, on average, sieving found 0.03 rels/poly and 724.59 rels/sec
12/14/09 22:31:20 v1.14 @ REPGMAIL, trial division touched 13149469 sieve locations out of 20630231580672
12/14/09 22:31:20 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
12/14/09 22:31:20 v1.14 @ REPGMAIL, begin with 599860 relations
12/14/09 22:31:20 v1.14 @ REPGMAIL, reduce to 130589 relations in 9 passes
12/14/09 22:31:28 v1.14 @ REPGMAIL, recovered 130589 relations
12/14/09 22:31:28 v1.14 @ REPGMAIL, recovered 110394 polynomials
12/14/09 22:31:28 v1.14 @ REPGMAIL, attempting to build 61829 cycles
12/14/09 22:31:28 v1.14 @ REPGMAIL, found 61829 cycles in 5 passes
12/14/09 22:31:28 v1.14 @ REPGMAIL, distribution of cycle lengths:
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 1 : 19559
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 2 : 16198
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 3 : 11684
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 4 : 6913
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 5 : 3770
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 6 : 1976
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 7 : 948
12/14/09 22:31:28 v1.14 @ REPGMAIL,    length 9+: 781
12/14/09 22:31:28 v1.14 @ REPGMAIL, largest cycle: 18 relations
12/14/09 22:31:32 v1.14 @ REPGMAIL, matrix is 60488 x 61829 (12.7 MB) with weight 3090998 (49.99/col)
12/14/09 22:31:32 v1.14 @ REPGMAIL, sparse part has weight 3090998 (49.99/col)
12/14/09 22:31:33 v1.14 @ REPGMAIL, filtering completed in 4 passes
12/14/09 22:31:33 v1.14 @ REPGMAIL, matrix is 54334 x 54398 (11.2 MB) with weight 2705367 (49.73/col)
12/14/09 22:31:33 v1.14 @ REPGMAIL, sparse part has weight 2705367 (49.73/col)
12/14/09 22:31:33 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
12/14/09 22:31:33 v1.14 @ REPGMAIL, matrix is 54286 x 54398 (9.5 MB) with weight 2342063 (43.05/col)
12/14/09 22:31:33 v1.14 @ REPGMAIL, sparse part has weight 2168736 (39.87/col)
12/14/09 22:31:33 v1.14 @ REPGMAIL, matrix includes 64 packed rows
12/14/09 22:31:33 v1.14 @ REPGMAIL, using block size 21759 for processor cache size 6144 kB
12/14/09 22:31:33 v1.14 @ REPGMAIL, commencing Lanczos iteration
12/14/09 22:31:33 v1.14 @ REPGMAIL, memory use: 8.5 MB
12/14/09 22:31:51 v1.14 @ REPGMAIL, lanczos halted after 860 iterations (dim = 54286)
12/14/09 22:31:51 v1.14 @ REPGMAIL, recovered 18 nontrivial dependencies
12/14/09 22:31:51 v1.14 @ REPGMAIL, prp35 = 17163877973414236572565193518549799
12/14/09 22:31:52 v1.14 @ REPGMAIL, prp54 = 101091059547567240552656506384975203422975075543975963
12/14/09 22:31:52 v1.14 @ REPGMAIL, Lanczos elapsed time = 31.2030 seconds.
12/14/09 22:31:52 v1.14 @ REPGMAIL, Sqrt elapsed time = 1.5160 seconds.
12/14/09 22:31:52 v1.14 @ REPGMAIL, SIQS elapsed time = 860.5803 seconds.

YAFU v1.14

15440759501239414746052470786880310377793924823079230995536396814451703822625126232937210152415871427113265849691<113>

2930179327475689888309979195558841620446520287<46>
5269561271030268835690782346468544997247579366619279931709924249093<67>

N=15440759501239414746052470786880310377793924823079230995536396814451703822625126232937210152415871427113265849691
  ( 113 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=2930179327475689888309979195558841620446520287 (pp46)
 r2=5269561271030268835690782346468544997247579366619279931709924249093 (pp67)
Version: Msieve-1.40
Total time: 2.86 hours.
Scaled time: 2.67 units (timescale=0.932).
Factorization parameters were as follows:
n: 15440759501239414746052470786880310377793924823079230995536396814451703822625126232937210152415871427113265849691
m: 10000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 980000
alim: 980000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 980000/980000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [490000, 890001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139843 x 140068
Total sieving time: 2.70 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,128.000,5,0,0,0,0,0,0,0,0,980000,980000,26,26,47,47,2.3,2.3,50000
total time: 2.86 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

51450779138031025275378865230083848138539241379756745451743759286339154927443801592785384612075213434574852411<110>

107465839243862724082249298851749174717083735327064911<54>
478764037949569470056242460435709304889925309933652412501<57>

N=51450779138031025275378865230083848138539241379756745451743759286339154927443801592785384612075213434574852411
  ( 110 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=107465839243862724082249298851749174717083735327064911 (pp54)
 r2=478764037949569470056242460435709304889925309933652412501 (pp57)
Version: Msieve-1.40
Total time: 2.62 hours.
Scaled time: 4.82 units (timescale=1.839).
Factorization parameters were as follows:
n: 51450779138031025275378865230083848138539241379756745451743759286339154927443801592785384612075213434574852411
m: 100000000000000000000000000
deg: 5
c5: 680
c0: -23
skew: 0.51
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1075001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 158594 x 158824
Total sieving time: 2.52 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 2.62 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

346822154212722509605722778538195475035879413238053901483291920294207306311553273500401847353147649829138159828113214829951<123>

3546780733597351884342375925933239181<37>
97785056439323570071160433088360953550212624698377101232129668524217662486037165530171<86>

N=346822154212722509605722778538195475035879413238053901483291920294207306311553273500401847353147649829138159828113214829951
  ( 123 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=3546780733597351884342375925933239181 (pp37)
 r2=97785056439323570071160433088360953550212624698377101232129668524217662486037165530171 (pp86)
Version: Msieve-1.40
Total time: 5.41 hours.
Scaled time: 5.04 units (timescale=0.933).
Factorization parameters were as follows:
n: 346822154212722509605722778538195475035879413238053901483291920294207306311553273500401847353147649829138159828113214829951
m: 100000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 1190000
alim: 1190000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1190000/1190000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [595000, 1345001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151774 x 151999
Total sieving time: 5.26 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1190000,1190000,26,26,47,47,2.3,2.3,75000
total time: 5.41 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

762833800841643829710558482948388661851497005201100350789886529905966617825111340108110622150732462163964207<108>

47411469848704408241807854830975592670012824018181<50>
16089646730547195710003465003961823026277166216107972643747<59>

N=762833800841643829710558482948388661851497005201100350789886529905966617825111340108110622150732462163964207
  ( 108 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=47411469848704408241807854830975592670012824018181 (pp50)
 r2=16089646730547195710003465003961823026277166216107972643747 (pp59)
Version: Msieve-1.40
Total time: 4.88 hours.
Scaled time: 4.55 units (timescale=0.932).
Factorization parameters were as follows:
n: 762833800841643829710558482948388661851497005201100350789886529905966617825111340108110622150732462163964207
m: 200000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1295001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 167310 x 167535
Total sieving time: 4.71 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,134.000,5,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,75000
total time: 4.88 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

12114514826956601318952190098073537821701752211837444802265577948466686443108582911401<86>

15879193363065865107998274559766137<35>
762917520428606904550569900796832771668642509188273<51>

12/14/09 21:48:57 v1.14 @ REPGMAIL, starting SIQS on c86: 12114514826956601318952190098073537821701752211837444802265577948466686443108582911401
12/14/09 21:48:57 v1.14 @ REPGMAIL, random seeds: 0, 3887612160
12/14/09 21:48:57 v1.14 @ REPGMAIL, ==== sieve params ====
12/14/09 21:48:57 v1.14 @ REPGMAIL, n = 86 digits, 283 bits
12/14/09 21:48:57 v1.14 @ REPGMAIL, factor base: 56327 primes (max prime = 1476803)
12/14/09 21:48:57 v1.14 @ REPGMAIL, single large prime cutoff: 162448330 (110 * pmax)
12/14/09 21:48:57 v1.14 @ REPGMAIL, double large prime range from 42 to 50 bits
12/14/09 21:48:57 v1.14 @ REPGMAIL, double large prime cutoff: 601571775592514
12/14/09 21:48:57 v1.14 @ REPGMAIL, allocating 12 large prime slices of factor base
12/14/09 21:48:57 v1.14 @ REPGMAIL, buckets hold 1024 elements
12/14/09 21:48:57 v1.14 @ REPGMAIL, sieve interval: 18 blocks of size 32768
12/14/09 21:48:57 v1.14 @ REPGMAIL, polynomial A has ~ 11 factors
12/14/09 21:48:57 v1.14 @ REPGMAIL, using multiplier of 1
12/14/09 21:48:57 v1.14 @ REPGMAIL, using small prime variation correction of 19 bits
12/14/09 21:48:57 v1.14 @ REPGMAIL, using SSE2 for trial division and x128 sieve scanning
12/14/09 21:48:57 v1.14 @ REPGMAIL, trial factoring cutoff at 94 bits
12/14/09 21:48:57 v1.14 @ REPGMAIL, ==== sieving started ( 8 threads) ====
12/14/09 21:55:25 v1.14 @ REPGMAIL, trial division touched 10682534 sieve locations out of 4744629190656
12/14/09 21:55:25 v1.14 @ REPGMAIL, 56750 relations found: 19827 full + 36923 from 490861 partial, using 4022072 polys (367 A polys)
12/14/09 21:55:25 v1.14 @ REPGMAIL, on average, sieving found 0.13 rels/poly and 1315.91 rels/sec
12/14/09 21:55:25 v1.14 @ REPGMAIL, trial division touched 10682534 sieve locations out of 4744629190656
12/14/09 21:55:25 v1.14 @ REPGMAIL, ==== post processing stage (msieve-1.38) ====
12/14/09 21:55:26 v1.14 @ REPGMAIL, begin with 510688 relations
12/14/09 21:55:26 v1.14 @ REPGMAIL, reduce to 112219 relations in 9 passes
12/14/09 21:55:33 v1.14 @ REPGMAIL, recovered 112219 relations
12/14/09 21:55:33 v1.14 @ REPGMAIL, recovered 82618 polynomials
12/14/09 21:55:36 v1.14 @ REPGMAIL, attempting to build 56750 cycles
12/14/09 21:55:36 v1.14 @ REPGMAIL, found 56750 cycles in 4 passes
12/14/09 21:55:36 v1.14 @ REPGMAIL, distribution of cycle lengths:
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 1 : 19827
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 2 : 16452
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 3 : 10389
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 4 : 5444
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 5 : 2627
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 6 : 1196
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 7 : 484
12/14/09 21:55:36 v1.14 @ REPGMAIL,    length 9+: 331
12/14/09 21:55:36 v1.14 @ REPGMAIL, largest cycle: 13 relations
12/14/09 21:55:36 v1.14 @ REPGMAIL, matrix is 56327 x 56750 (10.6 MB) with weight 2564365 (45.19/col)
12/14/09 21:55:36 v1.14 @ REPGMAIL, sparse part has weight 2564365 (45.19/col)
12/14/09 21:55:36 v1.14 @ REPGMAIL, filtering completed in 3 passes
12/14/09 21:55:36 v1.14 @ REPGMAIL, matrix is 48272 x 48334 (9.3 MB) with weight 2235142 (46.24/col)
12/14/09 21:55:36 v1.14 @ REPGMAIL, sparse part has weight 2235142 (46.24/col)
12/14/09 21:55:36 v1.14 @ REPGMAIL, saving the first 48 matrix rows for later
12/14/09 21:55:46 v1.14 @ REPGMAIL, matrix is 48224 x 48334 (7.6 MB) with weight 1897902 (39.27/col)
12/14/09 21:55:46 v1.14 @ REPGMAIL, sparse part has weight 1696057 (35.09/col)
12/14/09 21:55:46 v1.14 @ REPGMAIL, matrix includes 64 packed rows
12/14/09 21:55:46 v1.14 @ REPGMAIL, using block size 19333 for processor cache size 6144 kB
12/14/09 21:55:47 v1.14 @ REPGMAIL, commencing Lanczos iteration
12/14/09 21:55:47 v1.14 @ REPGMAIL, memory use: 7.0 MB
12/14/09 21:55:59 v1.14 @ REPGMAIL, lanczos halted after 764 iterations (dim = 48220)
12/14/09 21:55:59 v1.14 @ REPGMAIL, recovered 15 nontrivial dependencies
12/14/09 21:56:00 v1.14 @ REPGMAIL, prp35 = 15879193363065865107998274559766137
12/14/09 21:56:02 v1.14 @ REPGMAIL, prp51 = 762917520428606904550569900796832771668642509188273
12/14/09 21:56:02 v1.14 @ REPGMAIL, Lanczos elapsed time = 33.8740 seconds.
12/14/09 21:56:02 v1.14 @ REPGMAIL, Sqrt elapsed time = 3.1880 seconds.
12/14/09 21:56:02 v1.14 @ REPGMAIL, SIQS elapsed time = 425.1639 seconds.

YAFU v1.14

1291767565468253325983099240866543604203429986670042714470360827476299445498122120010631513446987<97>

49354536817403980992556188494349510678134521<44>
26173228415604033307918617128471408780767311182184547<53>

Divisors found:
 r1=49354536817403980992556188494349510678134521 (pp44)
 r2=26173228415604033307918617128471408780767311182184547 (pp53)
Version: Msieve v. 1.44 SVN157
Total time: 1.38 hours.
Scaled time: 3.31 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  1291767565468253325983099240866543604203429986670042714470360827476299445498122120010631513446987
skew:  1028695.48
Y0:  -173066555608276491936265
Y1:   6118599925867
c0:  -178362389484675470839201668
c1:  -1431652149419258675948
c2:  -1867644117274291
c3:  -2880742358
c4:   1440
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [937500, 1217501)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 151064 x 151296
Total sieving time: 1.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,25,25,46,46,2.5,2.5,70000
total time: 1.38 hours.

711171139881550079123670628242749562640990066684770750496910658551665628899866129078044125043581325269317051798151169<117>

105491386872953299968777534235333470421<39>
6741509055502669216548343696385596867253895536109530691752085630089326932209789<79>

N=711171139881550079123670628242749562640990066684770750496910658551665628899866129078044125043581325269317051798151169
  ( 117 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=105491386872953299968777534235333470421 (pp39)
 r2=6741509055502669216548343696385596867253895536109530691752085630089326932209789 (pp79)
Version: Msieve-1.40
Total time: 6.88 hours.
Scaled time: 6.42 units (timescale=0.933).
Factorization parameters were as follows:
n: 711171139881550079123670628242749562640990066684770750496910658551665628899866129078044125043581325269317051798151169
m: 2000000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 228654 x 228880
Total sieving time: 6.57 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,139.000,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,75000
total time: 6.88 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<140>

164718007347958713783029320020009041<36>
458696391317727327867207967595193328572030528906800158169735169192289759788564814046706350284250216889233<105>

N=75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
  ( 140 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=164718007347958713783029320020009041 (pp36)
 r2=458696391317727327867207967595193328572030528906800158169735169192289759788564814046706350284250216889233 (pp105)
Version: Msieve-1.40
Total time: 6.80 hours.
Scaled time: 13.07 units (timescale=1.922).
Factorization parameters were as follows:
n: 75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
m: 2000000000000000000000000000
deg: 5
c5: 21250
c0: -23
skew: 0.26
type: snfs
lss: 1
rlim: 1560000
alim: 1560000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1560000/1560000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [780000, 2080001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 245317 x 245544
Total sieving time: 6.67 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1560000,1560000,26,26,48,48,2.3,2.3,100000
total time: 6.80 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

32985715880087302264179078807117361590859919830808006197563651961591828459277939695772641530229024504763<104>

33766940649557270429843570725392477009158467<44>
976864212320039983752591722330942844497734391931800612763689<60>

Number: 75553_140
N=32985715880087302264179078807117361590859919830808006197563651961591828459277939695772641530229024504763
  ( 104 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=33766940649557270429843570725392477009158467 (pp44)
 r2=976864212320039983752591722330942844497734391931800612763689 (pp60)
Version: Msieve v. 1.42
Total time: 0.36 hours.
Scaled time: 0.28 units (timescale=0.796).
Factorization parameters were as follows:
name: 75553_140
n: 32985715880087302264179078807117361590859919830808006197563651961591828459277939695772641530229024504763
m: 10000000000000000000000000000
deg: 5
c5: 68
c0: -23
skew: 0.81
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 1710001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274332 x 274557
Total sieving time: 0.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 0.36 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 5.5 hours.

54453536926099656419822835317968628649294196449567335387500606200426331378061740221365333895391575211<101>

2959672947226504162711354061714811058096170521161<49>
18398498042538049399399151846094729471619424141236051<53>

N=54453536926099656419822835317968628649294196449567335387500606200426331378061740221365333895391575211
  ( 101 digits)
Divisors found:
 r1=2959672947226504162711354061714811058096170521161 (pp49)
 r2=18398498042538049399399151846094729471619424141236051 (pp53)
Version: Msieve-1.40
Total time: 3.76 hours.
Scaled time: 7.23 units (timescale=1.922).
Factorization parameters were as follows:
name: g1
n: 54453536926099656419822835317968628649294196449567335387500606200426331378061740221365333895391575211
skew: 2931.88
# norm 5.35e+013
c5: 409200
c4: 8901108
c3: -4950728848596
c2: 6043929165090551
c1: 23397151429743759722
c0: -69366011719193748738633
# alpha -6.24
Y1: 38386560253
Y0: -10588101280949284690
# Murphy_E 3.19e-009
# M 37728834848942648417473990291487294399973387734390897856397569738356643094034402185983653030400545834
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 237990 x 238238
Polynomial selection time: 0.43 hours.
Total sieving time: 3.07 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.76 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

10107559043828937379276335371485044058026332435592691651189531844989398451885459044203421416422789725203<104>

222262927902466959012561494161438438028846547583<48>
45475685662992432516577150080876318212189203602993452141<56>

prp48 factor: 222262927902466959012561494161438438028846547583
prp56 factor: 45475685662992432516577150080876318212189203602993452141

done by gnfs in about 12 CPU-hours (parameters were non-optimal).

poly:

Y0: -77566047231907110907
Y1: 31039371907
c0: -558398743597374860738736
c1: 137065067169670849580
c2: 59521037394430008
c3: -264552505753
c4: -300678770
c5: 3600

3808314070713642463132865247438710710836951689144171374141341852389397914903274595705945055940917351089773374687069363<118>

7444412125212146417878210412001724747661<40>
511566797573705714139540064583403760560721746535899396273870560730050344203583<78>

Number: 75553_147
N=3808314070713642463132865247438710710836951689144171374141341852389397914903274595705945055940917351089773374687069363
  ( 118 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=7444412125212146417878210412001724747661 (pp40)
 r2=511566797573705714139540064583403760560721746535899396273870560730050344203583 (pp78)
Version: Msieve v. 1.42
Total time: 0.58 hours.
Scaled time: 0.46 units (timescale=0.796).
Factorization parameters were as follows:
name: 75553_147
n: 3808314070713642463132865247438710710836951689144171374141341852389397914903274595705945055940917351089773374687069363
m: 100000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 362627 x 362851
Total sieving time: 0.00 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 0.58 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 9 hours.

39896506848092604746137269695445224030913290669912862255101837235764336396056343724509946701322150758800725954828675926061567732101177<134>

33379177452900859040901458273531293497645001<44>
1195251348071351262939369843658738348823063310087712346521340434884593591391504262928936177<91>

Number: 75553_148
N=39896506848092604746137269695445224030913290669912862255101837235764336396056343724509946701322150758800725954828675926061567732101177
  ( 134 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=33379177452900859040901458273531293497645001 (pp44)
 r2=1195251348071351262939369843658738348823063310087712346521340434884593591391504262928936177 (pp91)
Version: Msieve-1.40
Total time: 11.69 hours.
Scaled time: 38.84 units (timescale=3.322).
Factorization parameters were as follows:
name: 75553_148
n: 39896506848092604746137269695445224030913290669912862255101837235764336396056343724509946701322150758800725954828675926061567732101177
m: 200000000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 388346 x 388594
Total sieving time: 11.35 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 11.69 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

298746815553296382052316567908906005368897905967537402451862449042826513609541950162254094199336945246739671451464771736035835617887685054723<141>

17113117275140880783030116386021552160919406381244764651037<59>
17457182741759537230668434734479558816443041150505523061434504635431445561687384479<83>

Number: 75553_149
N=298746815553296382052316567908906005368897905967537402451862449042826513609541950162254094199336945246739671451464771736035835617887685054723
  ( 141 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=17113117275140880783030116386021552160919406381244764651037 (pp59)
 r2=17457182741759537230668434734479558816443041150505523061434504635431445561687384479 (pp83)
Version: Msieve-1.40
Total time: 22.23 hours.
Scaled time: 45.60 units (timescale=2.051).
Factorization parameters were as follows:
name: 75553_149
n: 298746815553296382052316567908906005368897905967537402451862449042826513609541950162254094199336945246739671451464771736035835617887685054723
m: 200000000000000000000000000000
deg: 5
c5: 21250
c0: -23
skew: 0.26
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 463542 x 463790
Total sieving time: 20.70 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.66 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 22.23 hours.
 --------- CPU info (if available) ----------

13420169725675942372212354450365107558713242549832247878429050720347345569370436155516084468127096901519636865995658180382869548056048944148411288731<149>

14954759575038077017989758004101<32>
61061284304473599603372195208904250303373<41>
14696456667525975952009223329233872114376566246538367924642568716200666134747<77>

Number: 75553_150
N=13420169725675942372212354450365107558713242549832247878429050720347345569370436155516084468127096901519636865995658180382869548056048944148411288731
  ( 149 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=14954759575038077017989758004101 (pp32)
 r2=61061284304473599603372195208904250303373 (pp41)
 r3=14696456667525975952009223329233872114376566246538367924642568716200666134747 (pp77)
Version: Msieve v. 1.42
Total time: 0.63 hours.
Scaled time: 0.50 units (timescale=0.796).
Factorization parameters were as follows:
name: 75553_150
n: 13420169725675942372212354450365107558713242549832247878429050720347345569370436155516084468127096901519636865995658180382869548056048944148411288731
m: 1000000000000000000000000000000
deg: 5
c5: 68
c0: -23
skew: 0.81
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
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: 49/49
Sieved rational special-q in [1200000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 398069 x 398296
Total sieving time: 0.00 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.45 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 0.63 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 14 hours.

7778246760303031342902864568141445129616475241726175973682073314551155126836895884735533890850608476230021058459243702765738653196573453530122976369<148>

2630312139336324536954345711281126727<37>
4255107081445950705250868646957945484715860129187<49>
694966601204488519853928402657283632496136211329333403979205581<63>

Number: 75553_152
N=7778246760303031342902864568141445129616475241726175973682073314551155126836895884735533890850608476230021058459243702765738653196573453530122976369
  ( 148 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=2630312139336324536954345711281126727 (pp37)
 r2=4255107081445950705250868646957945484715860129187 (pp49)
 r3=694966601204488519853928402657283632496136211329333403979205581 (pp63)
Version: Msieve v. 1.42
Total time: 0.70 hours.
Scaled time: 0.72 units (timescale=1.023).
Factorization parameters were as follows:
name: 75553_152
n: 7778246760303031342902864568141445129616475241726175973682073314551155126836895884735533890850608476230021058459243702765738653196573453530122976369
m: 1000000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 477440 x 477664
Total sieving time: 0.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 0.70 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 3057976k/3145344k available (3786k kernel code, 496k absent, 86872k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4788.09 BogoMIPS (lpj=2394045)
Calibrating delay using timer specific routine.. 4837.71 BogoMIPS (lpj=2418857)
Calibrating delay using timer specific routine.. 4787.77 BogoMIPS (lpj=2393888)
Calibrating delay using timer specific routine.. 4787.78 BogoMIPS (lpj=2393890)
Total of 4 processors activated (19201.36 BogoMIPS).

Total time: 10 hours 51 min.

765998026636067426993585062869845254575479417406714462946118236093759544061284633792431883488690842254759391073121238041646527<126>

597075381470583305407179776607623<33>

1282916781377640166762385621869297004208265423947814584670422167435999014658603664910481751049<94>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1003479497
Step 1 took 5760ms
Step 2 took 3377ms
********** Factor found in step 2: 597075381470583305407179776607623
Found probable prime factor of 33 digits: 597075381470583305407179776607623
Composite cofactor has 94 digits

1282916781377640166762385621869297004208265423947814584670422167435999014658603664910481751049<94>

2874261876934015082882437183<28>
446346518274156653950713964805401210073674458303364742696359256503<66>

GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 1282916781377640166762385621869297004208265423947814584670422167435999014658603664910481751049 (94 digits)
Using B1=568000, B2=522330282, polynomial Dickson(3), sigma=2653429740
Step 1 took 3469ms
Step 2 took 1968ms
********** Factor found in step 2: 2874261876934015082882437183
Found probable prime factor of 28 digits: 2874261876934015082882437183
Probable prime cofactor 446346518274156653950713964805401210073674458303364742696359256503 has 66 digits

1787728368842385727960057115481679991913768011351388062202636217224426137785219273354258864685837007648990203005484674097641<124>

166892592945596854245061430154109248030849382342993<51>
10711849683018251430549057175990157324011231303738524372565459373319213337<74>

Number: 75553_159
N=1787728368842385727960057115481679991913768011351388062202636217224426137785219273354258864685837007648990203005484674097641
  ( 124 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=166892592945596854245061430154109248030849382342993 (pp51)
 r2=10711849683018251430549057175990157324011231303738524372565459373319213337 (pp74)
Version: Msieve-1.40
Total time: 31.76 hours.
Scaled time: 106.05 units (timescale=3.339).
Factorization parameters were as follows:
name: 75553_159
n: 1787728368842385727960057115481679991913768011351388062202636217224426137785219273354258864685837007648990203005484674097641
m: 20000000000000000000000000000000
deg: 5
c5: 21250
c0: -23
skew: 0.26
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 645565 x 645813
Total sieving time: 30.84 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.78 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 31.76 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

1029126655898278429498322348925722904601313828947773026917102666699906894955994045816648947368963663574290835125669649998144230026897351002887668143<148>

1273342611171657500688529240836510792572399<43>
808208762409462266325229191850862280734976356343245180923276687924961470379449034576812025589160927598657<105>

Number: 75553_160
N=1029126655898278429498322348925722904601313828947773026917102666699906894955994045816648947368963663574290835125669649998144230026897351002887668143
  ( 148 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=1273342611171657500688529240836510792572399 (pp43)
 r2=808208762409462266325229191850862280734976356343245180923276687924961470379449034576812025589160927598657 (pp105)
Version: Msieve v. 1.42
Total time: 2.00 hours.
Scaled time: 1.70 units (timescale=0.853).
Factorization parameters were as follows:
name: 75553_160
n: 1029126655898278429498322348925722904601313828947773026917102666699906894955994045816648947368963663574290835125669649998144230026897351002887668143
m: 100000000000000000000000000000000
deg: 5
c5: 68
c0: -23
skew: 0.81
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, 3250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 733379 x 733606
Total sieving time: 0.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 2.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

Total time: 17 hours 24 min.

1877988201910264054018678257051556768176120951442088479262238950528245378550153725913432407306205235589316204424487547656577419079817274720090295920054579<154>

906133801973863673468566886456588366411<39>
8513469989823072849007676015176110552020657<43>
243441109499939027392431736813296959720138009852804749731490188251805577<72>

N=1877988201910264054018678257051556768176120951442088479262238950528245378550153725913432407306205235589316204424487547656577419079817274720090295920054579
  ( 154 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=906133801973863673468566886456588366411 (pp39)
 r2=8513469989823072849007676015176110552020657 (pp43)
 r3=243441109499939027392431736813296959720138009852804749731490188251805577 (pp72)
Version: Msieve-1.40
Total time: 39.70 hours.
Scaled time: 73.45 units (timescale=1.850).
Factorization parameters were as follows:
n: 1877988201910264054018678257051556768176120951442088479262238950528245378550153725913432407306205235589316204424487547656577419079817274720090295920054579
m: 1000000000000000000000000000000000
deg: 5
c5: 68
c0: -23
skew: 0.81
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 759276 x 759504
Total sieving time: 38.65 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 39.70 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

154478521441058366112662555021386088323901507684308716749943563766955615905924893404557175440224905395098164678518965765422275977<129>

10514943429395222046771324060893204981644973861<47>
14691331672712894434648373504493960627482619073865542542587344664394947336916631957<83>

Number: 75553_168
N=154478521441058366112662555021386088323901507684308716749943563766955615905924893404557175440224905395098164678518965765422275977
  ( 129 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=10514943429395222046771324060893204981644973861 (pp47)
 r2=14691331672712894434648373504493960627482619073865542542587344664394947336916631957 (pp83)
Version: Msieve-1.40
Total time: 60.84 hours.
Scaled time: 197.97 units (timescale=3.254).
Factorization parameters were as follows:
name: 75553_168
n: 154478521441058366112662555021386088323901507684308716749943563766955615905924893404557175440224905395098164678518965765422275977
m: 2000000000000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 5350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 960469 x 960717
Total sieving time: 58.49 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 60.84 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

9728233604128192763294721776638110041562382607522079109307539050579544898859388644489768695357850629499930978538881704025189274620463176832742788034561163073<157>

9396197781528470810291290788950086066499<40>

1035337253463571729177511713132355866893721344346140930356000875068322262038478011499583998462077625466683400117232427<118>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1229447379
Step 1 took 52138ms
Step 2 took 17264ms
********** Factor found in step 2: 9396197781528470810291290788950086066499
Found probable prime factor of 40 digits: 9396197781528470810291290788950086066499
Composite cofactor 1035337253463571729177511713132355866893721344346140930356000875068322262038478011499583998462077625466683400117232427 has 118 digits

GMP-ECM 6.2.1

1035337253463571729177511713132355866893721344346140930356000875068322262038478011499583998462077625466683400117232427<118>

4361191125704538366471338640207373628209<40>
237397817160860121412619310443302098713581904000491220990182401712892692434203<78>

Number: 75553_170
N=1035337253463571729177511713132355866893721344346140930356000875068322262038478011499583998462077625466683400117232427
  ( 118 digits)
Divisors found:
 r1=4361191125704538366471338640207373628209 (pp40)
 r2=237397817160860121412619310443302098713581904000491220990182401712892692434203 (pp78)
Version: Msieve-1.40
Total time: 32.88 hours.
Scaled time: 104.08 units (timescale=3.165).
Factorization parameters were as follows:
name: 75553_170
n: 1035337253463571729177511713132355866893721344346140930356000875068322262038478011499583998462077625466683400117232427
skew: 24946.61
# norm 1.67e+15
c5: 41280
c4: -1697705752
c3: -122375719772622
c2: 823279148535729955
c1: 24847264565778537282458
c0: 24351111250233087506023937
# alpha -4.43
Y1: 1603982644627
Y0: -30190382839396727591442
# Murphy_E 4.24e-10
# M 391826636789768140254537631994012091642379740801127172535741474305923844400497101726876885877067562331252906606970508
type: gnfs
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1900000, 3300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 617845 x 618092
Polynomial selection time: 4.02 hours.
Total sieving time: 27.92 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.75 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 32.88 hours.
 --------- CPU info (if available) ----------

Core i7 2.93GHz,Windows 7 64bit,and Cygwin)

1900588379334866853976091325080053554200858578433771592003279454478513542874036386447254005091786132849501232864467318975672199901123601499827109133<148>

183458014747150098018233117600864020319661803123<48>
10359800207989502781423451381385394989798401213093609458767150877507728987301217609259136234850143871<101>

Number: 75553_172
N=1900588379334866853976091325080053554200858578433771592003279454478513542874036386447254005091786132849501232864467318975672199901123601499827109133
  ( 148 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=183458014747150098018233117600864020319661803123
 r2=10359800207989502781423451381385394989798401213093609458767150877507728987301217609259136234850143871
Version: 
Total time: 113.83 hours.
Scaled time: 229.26 units (timescale=2.014).
Factorization parameters were as follows:
n: 1900588379334866853976091325080053554200858578433771592003279454478513542874036386447254005091786132849501232864467318975672199901123601499827109133
m: 10000000000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 6350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1022545 x 1022793
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,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 113.83 hours.
 --------- CPU info (if available) ----------

2018610021703213346802457447397923133962459785659792581196339560578156008731546742896690927873302043788452809580596497905766693182748114173286566600796054951203<160>

71884721669103963085020752316086712492929246305137254053475826678205049603<74>
28081210789062726133620865949744873257699574421951409903526328170098878630710086927201<86>

Number: 3
N=2018610021703213346802457447397923133962459785659792581196339560578156008731546742896690927873302043788452809580596497905766693182748114173286566600796054951203
  ( 160 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=71884721669103963085020752316086712492929246305137254053475826678205049603 (pp74)
 r2=28081210789062726133620865949744873257699574421951409903526328170098878630710086927201 (pp86)
Version: Msieve-1.40
Total time: 84.47 hours.
Scaled time: 146.56 units (timescale=1.735).
Factorization parameters were as follows:
n: 2018610021703213346802457447397923133962459785659792581196339560578156008731546742896690927873302043788452809580596497905766693182748114173286566600796054951203
m: 20000000000000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 7250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1120124 x 1120349
Total sieving time: 81.94 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.75 hours.
Time per square root: 0.66 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 84.47 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

7479452100042098715871380508316492269005770091141443462269890435911949553172099104567529383896458881570885543640655678902230327497186024519750230311038847082143<160>

120324311362283640435310280735187180936787<42>
7329137867640722931526501109722486016703966819409003<52>
8481321166352792148847317064929033697543191779825125960330676496463<67>

Number: 10
N=7479452100042098715871380508316492269005770091141443462269890435911949553172099104567529383896458881570885543640655678902230327497186024519750230311038847082143
  ( 160 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=120324311362283640435310280735187180936787 (pp42)
 r2=7329137867640722931526501109722486016703966819409003 (pp52)
 r3=8481321166352792148847317064929033697543191779825125960330676496463 (pp67)
Version: Msieve-1.40
Total time: 107.43 hours.
Scaled time: 186.81 units (timescale=1.739).
Factorization parameters were as follows:
n: 7479452100042098715871380508316492269005770091141443462269890435911949553172099104567529383896458881570885543640655678902230327497186024519750230311038847082143
m: 20000000000000000000000000000000000
deg: 5
c5: 21250
c0: -23
skew: 0.26
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
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 8500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1316829 x 1317054
Total sieving time: 103.98 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.38 hours.
Time per square root: 0.90 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 107.43 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

1127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859038142620232172470978441127694859<175>

296603416032176701234257468924886867<36>
3802029235279629623162086008369447762892066242875966467104153345480323354187633922315482821995039753485706549569133481506254757632313238377<139>

Factor=296603416032176701234257468924886867  Method=ECM  B1=11000000  Sigma=3966967513

ECMNET

181614118878692961912160341691737938586708339591728966451606728174240090168286140258733924489965672069419<105>

638125508426766058342186478924993666899419943<45>
284605640239087472186381557018034774105641790871512332119133<60>

Number: 75553_176
N = 181614118878692961912160341691737938586708339591728966451606728174240090168286140258733924489965672069419 (105 digits)
Divisors found:
r1=638125508426766058342186478924993666899419943 (pp45)
r2=284605640239087472186381557018034774105641790871512332119133 (pp60)
Version: Msieve v. 1.43
Total time: 7.85 hours.
Factorization parameters were as follows:
name: 75553_176
n: 181614118878692961912160341691737938586708339591728966451606728174240090168286140258733924489965672069419
skew: 5637.02
# norm 7.51e+13
c5: 103680
c4: 1484903244
c3: -10135525439257
c2: -44814768319171274
c1: 146533215989679456476
c0: 140615427432611055437331
# alpha -5.2
Y1: 85692205049
Y0: -70581261070600386500
# Murphy_E 2.08e-09
# M 170415365909664369899805884044808982928109387033352686297929932141140674614272335536817028177647259225345
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [1250000, 2149999)
Relations: 546964 relations
Max relations in full relation-set: 0
Pruned matrix : 305601 x 305826
Polynomial selection time: 0.87 hours.
Total sieving time: 6.60 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.17 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,104,5,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 7.85 hours.
 --------- CPU info (if available) ----------

factmsieve.py + ggnfs + msieve 1.43

Core2 Duo @ 2.4GHz Windows Vista

196363587301756630063102393879149977520578861695222592802772252422006657768502574892102444656103619960045145598715683546333832822544797<135>

45248064684149572090167925738043<32>

4339712398142476325164558549013480766383370364416588677648715166659346124541623948275413829971941135879<103>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1480024698
Step 1 took 5553ms
Step 2 took 4524ms
********** Factor found in step 2: 45248064684149572090167925738043
Found probable prime factor of 32 digits: 45248064684149572090167925738043
Composite cofactor 4339712398142476325164558549013480766383370364416588677648715166659346124541623948275413829971941135879 has 103 digits

GMP-ECM 6.3

4339712398142476325164558549013480766383370364416588677648715166659346124541623948275413829971941135879<103>

9933564632398792192872343422252531307<37>
436873625806822508417838640635362719339623541664454491685320701397<66>

Number: 75553_177
N = 4339712398142476325164558549013480766383370364416588677648715166659346124541623948275413829971941135879 (103 digits)
Divisors found:
r1=9933564632398792192872343422252531307 (pp37)
r2=436873625806822508417838640635362719339623541664454491685320701397 (pp66)
Version: Msieve v. 1.47
Total time: 5.24 hours.
Factorization parameters were as follows:
# Murphy_E = 2.473e-09, selected by Erik Branger
n: 4339712398142476325164558549013480766383370364416588677648715166659346124541623948275413829971941135879
Y0: -90370816698009101833
Y1: 24821939999
c0: -264428948067867466464053760
c1: -12000805489582174048146
c2: 206009915088727793
c3: 4597572970330
c4: -75950064
c5: 720
skew: 56952.79
type: gnfs
# selected mechanically
rlim: 1780000
alim: 1780000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.4
alambda: 2.4
Factor base limits: 1780000/1780000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [890000, 1590000)
Relations: 4078476
Relations in full relation-set: 376248 relations
Pruned matrix : 219522 x 219750
Polynomial selection time: 0.00 hours.
Total sieving time: 5.03 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: gnfs,102,5,59,2000,0.0009,0.35,200,15,15000,2000,1780000,1780000,26,26,48,48,2.4,2.4,100000
total time: 5.24 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

338672922184983437360165303702384818234252486175752941407803270232893198828798309916978981353117110951023263378194306842294169776052434033305629318155942495217221<162>

102812284474151843469517189464005475721303307<45>
650785304945415926840088681162070225288084374523<48>
5061715459895800577699102768191650305380313693341269072680074118556061<70>

Wed Jan 30 13:51:23 2013  commencing relation filtering
Wed Jan 30 13:51:23 2013  estimated available RAM is 48289.8 MB
Wed Jan 30 13:51:23 2013  commencing duplicate removal, pass 1
Wed Jan 30 13:56:02 2013  found 3172837 hash collisions in 22389485 relations
Wed Jan 30 13:56:30 2013  commencing duplicate removal, pass 2
Wed Jan 30 13:56:40 2013  found 2796833 duplicates and 19592652 unique relations
Wed Jan 30 13:56:40 2013  memory use: 98.6 MB
Wed Jan 30 13:56:40 2013  reading ideals above 720000
Wed Jan 30 13:56:40 2013  commencing singleton removal, initial pass
Wed Jan 30 14:01:24 2013  memory use: 376.5 MB
Wed Jan 30 14:01:25 2013  reading all ideals from disk
Wed Jan 30 14:01:26 2013  memory use: 603.6 MB
Wed Jan 30 14:01:27 2013  keeping 20333970 ideals with weight <= 200, target excess is 115931
Wed Jan 30 14:01:29 2013  commencing in-memory singleton removal
Wed Jan 30 14:01:30 2013  begin with 19592652 relations and 20333970 unique ideals
Wed Jan 30 14:01:44 2013  reduce to 9395549 relations and 8040158 ideals in 15 passes
Wed Jan 30 14:01:44 2013  max relations containing the same ideal: 123
Wed Jan 30 14:01:49 2013  removing 1964787 relations and 1564787 ideals in 400000 cliques
Wed Jan 30 14:01:50 2013  commencing in-memory singleton removal
Wed Jan 30 14:01:50 2013  begin with 7430762 relations and 8040158 unique ideals
Wed Jan 30 14:01:55 2013  reduce to 7182902 relations and 6215308 ideals in 9 passes
Wed Jan 30 14:01:55 2013  max relations containing the same ideal: 103
Wed Jan 30 14:01:59 2013  removing 1506640 relations and 1106640 ideals in 400000 cliques
Wed Jan 30 14:01:59 2013  commencing in-memory singleton removal
Wed Jan 30 14:02:00 2013  begin with 5676262 relations and 6215308 unique ideals
Wed Jan 30 14:02:03 2013  reduce to 5471214 relations and 4892596 ideals in 8 passes
Wed Jan 30 14:02:03 2013  max relations containing the same ideal: 82
Wed Jan 30 14:02:06 2013  removing 1370953 relations and 970953 ideals in 400000 cliques
Wed Jan 30 14:02:06 2013  commencing in-memory singleton removal
Wed Jan 30 14:02:07 2013  begin with 4100261 relations and 4892596 unique ideals
Wed Jan 30 14:02:09 2013  reduce to 3877735 relations and 3684314 ideals in 8 passes
Wed Jan 30 14:02:09 2013  max relations containing the same ideal: 66
Wed Jan 30 14:02:11 2013  removing 310580 relations and 251639 ideals in 58941 cliques
Wed Jan 30 14:02:11 2013  commencing in-memory singleton removal
Wed Jan 30 14:02:11 2013  begin with 3567155 relations and 3684314 unique ideals
Wed Jan 30 14:02:14 2013  reduce to 3551289 relations and 3416567 ideals in 10 passes
Wed Jan 30 14:02:14 2013  max relations containing the same ideal: 59
Wed Jan 30 14:02:16 2013  relations with 0 large ideals: 2833
Wed Jan 30 14:02:16 2013  relations with 1 large ideals: 1532
Wed Jan 30 14:02:16 2013  relations with 2 large ideals: 23342
Wed Jan 30 14:02:16 2013  relations with 3 large ideals: 141066
Wed Jan 30 14:02:16 2013  relations with 4 large ideals: 461359
Wed Jan 30 14:02:16 2013  relations with 5 large ideals: 870467
Wed Jan 30 14:02:16 2013  relations with 6 large ideals: 1025982
Wed Jan 30 14:02:16 2013  relations with 7+ large ideals: 1024708
Wed Jan 30 14:02:16 2013  commencing 2-way merge
Wed Jan 30 14:02:18 2013  reduce to 2304632 relation sets and 2169910 unique ideals
Wed Jan 30 14:02:18 2013  commencing full merge
Wed Jan 30 14:02:55 2013  memory use: 269.7 MB
Wed Jan 30 14:02:55 2013  found 1188133 cycles, need 1170110
Wed Jan 30 14:02:55 2013  weight of 1170110 cycles is about 82052309 (70.12/cycle)
Wed Jan 30 14:02:55 2013  distribution of cycle lengths:
Wed Jan 30 14:02:55 2013  1 relations: 117843
Wed Jan 30 14:02:55 2013  2 relations: 128947
Wed Jan 30 14:02:55 2013  3 relations: 134046
Wed Jan 30 14:02:55 2013  4 relations: 129449
Wed Jan 30 14:02:55 2013  5 relations: 119779
Wed Jan 30 14:02:55 2013  6 relations: 107116
Wed Jan 30 14:02:55 2013  7 relations: 92122
Wed Jan 30 14:02:55 2013  8 relations: 77719
Wed Jan 30 14:02:55 2013  9 relations: 63602
Wed Jan 30 14:02:55 2013  10+ relations: 199487
Wed Jan 30 14:02:55 2013  heaviest cycle: 21 relations
Wed Jan 30 14:02:56 2013  commencing cycle optimization
Wed Jan 30 14:02:58 2013  start with 6820009 relations
Wed Jan 30 14:03:08 2013  pruned 198550 relations
Wed Jan 30 14:03:08 2013  memory use: 215.4 MB
Wed Jan 30 14:03:08 2013  distribution of cycle lengths:
Wed Jan 30 14:03:08 2013  1 relations: 117843
Wed Jan 30 14:03:08 2013  2 relations: 131731
Wed Jan 30 14:03:08 2013  3 relations: 138876
Wed Jan 30 14:03:08 2013  4 relations: 133331
Wed Jan 30 14:03:08 2013  5 relations: 123731
Wed Jan 30 14:03:08 2013  6 relations: 109679
Wed Jan 30 14:03:08 2013  7 relations: 93902
Wed Jan 30 14:03:08 2013  8 relations: 78122
Wed Jan 30 14:03:08 2013  9 relations: 63159
Wed Jan 30 14:03:08 2013  10+ relations: 179736
Wed Jan 30 14:03:08 2013  heaviest cycle: 20 relations
Wed Jan 30 14:03:09 2013  RelProcTime: 706
Wed Jan 30 14:03:10 2013  
Wed Jan 30 14:03:10 2013  commencing linear algebra
Wed Jan 30 14:03:10 2013  read 1170110 cycles
Wed Jan 30 14:03:12 2013  cycles contain 3470913 unique relations
Wed Jan 30 14:03:57 2013  read 3470913 relations
Wed Jan 30 14:04:02 2013  using 20 quadratic characters above 268435244
Wed Jan 30 14:04:22 2013  building initial matrix
Wed Jan 30 14:05:10 2013  memory use: 432.5 MB
Wed Jan 30 14:05:11 2013  read 1170110 cycles
Wed Jan 30 14:05:11 2013  matrix is 1169931 x 1170110 (349.2 MB) with weight 104411858 (89.23/col)
Wed Jan 30 14:05:11 2013  sparse part has weight 78657430 (67.22/col)
Wed Jan 30 14:05:24 2013  filtering completed in 2 passes
Wed Jan 30 14:05:24 2013  matrix is 1169459 x 1169638 (349.1 MB) with weight 104395335 (89.25/col)
Wed Jan 30 14:05:24 2013  sparse part has weight 78651169 (67.24/col)
Wed Jan 30 14:05:27 2013  matrix starts at (0, 0)
Wed Jan 30 14:05:27 2013  matrix is 1169459 x 1169638 (349.1 MB) with weight 104395335 (89.25/col)
Wed Jan 30 14:05:27 2013  sparse part has weight 78651169 (67.24/col)
Wed Jan 30 14:05:27 2013  saving the first 48 matrix rows for later
Wed Jan 30 14:05:27 2013  matrix includes 64 packed rows
Wed Jan 30 14:05:28 2013  matrix is 1169411 x 1169638 (331.4 MB) with weight 82404748 (70.45/col)
Wed Jan 30 14:05:28 2013  sparse part has weight 75190528 (64.29/col)
Wed Jan 30 14:05:28 2013  using block size 65536 for processor cache size 12288 kB
Wed Jan 30 14:05:32 2013  commencing Lanczos iteration (8 threads)
Wed Jan 30 14:05:32 2013  memory use: 325.2 MB
Wed Jan 30 14:05:37 2013  linear algebra at 0.1%, ETA 0h51m
Wed Jan 30 14:05:39 2013  checkpointing every 1220000 dimensions
Wed Jan 30 15:15:48 2013  lanczos halted after 18492 iterations (dim = 1169406)
Wed Jan 30 15:15:50 2013  recovered 34 nontrivial dependencies
Wed Jan 30 15:15:50 2013  BLanczosTime: 4360
Wed Jan 30 15:15:50 2013  
Wed Jan 30 15:15:50 2013  commencing square root phase
Wed Jan 30 15:15:50 2013  reading relations for dependency 1
Wed Jan 30 15:15:50 2013  read 585123 cycles
Wed Jan 30 15:15:51 2013  cycles contain 1736900 unique relations
Wed Jan 30 15:16:15 2013  read 1736900 relations
Wed Jan 30 15:16:23 2013  multiplying 1736900 relations
Wed Jan 30 15:17:44 2013  multiply complete, coefficients have about 56.70 million bits
Wed Jan 30 15:17:45 2013  initial square root is modulo 138063911
Wed Jan 30 15:19:33 2013  GCD is 1, no factor found
Wed Jan 30 15:19:33 2013  reading relations for dependency 2
Wed Jan 30 15:19:33 2013  read 584685 cycles
Wed Jan 30 15:19:34 2013  cycles contain 1735206 unique relations
Wed Jan 30 15:19:58 2013  read 1735206 relations
Wed Jan 30 15:20:06 2013  multiplying 1735206 relations
Wed Jan 30 15:21:27 2013  multiply complete, coefficients have about 56.64 million bits
Wed Jan 30 15:21:28 2013  initial square root is modulo 135421831
Wed Jan 30 15:23:16 2013  sqrtTime: 446

NFS elapsed time = 5513.7704 seconds.
PRP48 = 650785304945415926840088681162070225288084374523
PRP45 = 102812284474151843469517189464005475721303307
PRP70 = 5061715459895800577699102768191650305380313693341269072680074118556061

1188361772868545952769683955281942539868681771007473392132218984446601337878676334601828029997638756289306949025693849412291600618981<133>

108003566110769003559634759778221063887538512713<48>
11002986435186372542216908644437255268993755769556686029195931401419815753693267362237<86>

Number: n
N=1188361772868545952769683955281942539868681771007473392132218984446601337878676334601828029997638756289306949025693849412291600618981
  ( 133 digits)
Divisors found:

Fri Apr 20 04:33:20 2012  prp48 factor: 108003566110769003559634759778221063887538512713
Fri Apr 20 04:33:20 2012  prp86 factor: 11002986435186372542216908644437255268993755769556686029195931401419815753693267362237
Fri Apr 20 04:33:20 2012  elapsed time 04:36:02 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.026).
Factorization parameters were as follows:
name: KA_75553_179
n: 1188361772868545952769683955281942539868681771007473392132218984446601337878676334601828029997638756289306949025693849412291600618981
skew: 116121.97
# norm 5.28e+17
c5: 22920
c4: -117997303214
c3: -4625404432424789
c2: 1489157342398770280188
c1: 95669787328253478003446140
c0: 1073885397140406249361721745910
# alpha -4.82
Y1: 349565157863977
Y0: -34910115822733233392689503
# Murphy_E 5.06e-11
# M 1127783418849529560059357317847196836952063948087342795085205232250119674874721444248109262089953595429429689214135981779865831975312
type: gnfs
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 20160000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2637833 hash collisions in 11937705 relations
Msieve: matrix is 1363126 x 1363351 (393.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5400000,5400000,27,27,51,51,2.5,2.5,60000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU1: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU2: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
CPU3: Intel(R) Core(TM)2 Quad CPU    Q6600  @ 2.40GHz stepping 0b
Memory: 4012828k/4980736k available (3972k kernel code, 787908k absent, 180000k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.52 BogoMIPS (lpj=2400261)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399952)
Calibrating delay using timer specific routine.. 4799.86 BogoMIPS (lpj=2399932)
Calibrating delay using timer specific routine.. 4799.90 BogoMIPS (lpj=2399953)
Total of 4 processors activated (19200.19 BogoMIPS).

14016343553388198334544079233398853377926083094750524776236317087491699378042002002755939966398240676751144871915567179478982264925864677<137>

9067647790334906745029788415987836419853855890315293032457687<61>
1545752975576317045820513156460412781511667127997285084389767436431479524771<76>

Tue Feb 04 23:09:25 2014 Found 19220895 relations, 121.3% of the estimated minimum (15848931).
Tue Feb 04 23:09:26 2014  
Tue Feb 04 23:09:26 2014  
Tue Feb 04 23:09:26 2014  Msieve v. 1.52 (SVN 927)
Tue Feb 04 23:09:26 2014  random seeds: 974b9f44 a66f9959
Tue Feb 04 23:09:26 2014  factoring 14016343553388198334544079233398853377926083094750524776236317087491699378042002002755939966398240676751144871915567179478982264925864677 (137 digits)
Tue Feb 04 23:09:27 2014  searching for 15-digit factors
Tue Feb 04 23:09:28 2014  commencing number field sieve (137-digit input)
Tue Feb 04 23:09:28 2014  R0: -1000000000000000000000000000000000000
Tue Feb 04 23:09:28 2014  R1: 1
Tue Feb 04 23:09:28 2014  A0: -23
Tue Feb 04 23:09:28 2014  A1: 0
Tue Feb 04 23:09:28 2014  A2: 0
Tue Feb 04 23:09:28 2014  A3: 0
Tue Feb 04 23:09:28 2014  A4: 0
Tue Feb 04 23:09:28 2014  A5: 68
Tue Feb 04 23:09:28 2014  skew 0.81, size 8.087e-013, alpha 1.218, combined = 7.333e-011 rroots = 1
Tue Feb 04 23:09:28 2014  
Tue Feb 04 23:09:28 2014  commencing relation filtering
Tue Feb 04 23:09:28 2014  estimated available RAM is 3884.5 MB
Tue Feb 04 23:09:28 2014  commencing duplicate removal, pass 1
Tue Feb 04 23:09:32 2014  error -11 reading relation 309100
Tue Feb 04 23:09:32 2014  <snip error reading relations>
Tue Feb 04 23:14:04 2014  skipped 2 relations with b > 2^32
Tue Feb 04 23:14:04 2014  found 2893063 hash collisions in 19219336 relations
Tue Feb 04 23:14:48 2014  added 984 free relations
Tue Feb 04 23:14:48 2014  commencing duplicate removal, pass 2
Tue Feb 04 23:15:22 2014  found 2224360 duplicates and 16995960 unique relations
Tue Feb 04 23:15:22 2014  memory use: 82.6 MB
Tue Feb 04 23:15:22 2014  reading ideals above 720000
Tue Feb 04 23:15:22 2014  commencing singleton removal, initial pass
Tue Feb 04 23:20:04 2014  memory use: 376.5 MB
Tue Feb 04 23:20:04 2014  reading all ideals from disk
Tue Feb 04 23:20:04 2014  memory use: 526.8 MB
Tue Feb 04 23:20:06 2014  keeping 19335432 ideals with weight <= 200, target excess is 115903
Tue Feb 04 23:20:08 2014  commencing in-memory singleton removal
Tue Feb 04 23:20:09 2014  begin with 16995960 relations and 19335432 unique ideals
Tue Feb 04 23:20:26 2014  reduce to 6212287 relations and 6019521 ideals in 19 passes
Tue Feb 04 23:20:26 2014  max relations containing the same ideal: 93
Tue Feb 04 23:20:30 2014  removing 384925 relations and 355766 ideals in 29159 cliques
Tue Feb 04 23:20:30 2014  commencing in-memory singleton removal
Tue Feb 04 23:20:30 2014  begin with 5827362 relations and 6019521 unique ideals
Tue Feb 04 23:20:36 2014  reduce to 5806428 relations and 5642657 ideals in 9 passes
Tue Feb 04 23:20:36 2014  max relations containing the same ideal: 89
Tue Feb 04 23:20:40 2014  removing 278721 relations and 249562 ideals in 29159 cliques
Tue Feb 04 23:20:40 2014  commencing in-memory singleton removal
Tue Feb 04 23:20:41 2014  begin with 5527707 relations and 5642657 unique ideals
Tue Feb 04 23:20:46 2014  reduce to 5515656 relations and 5380965 ideals in 8 passes
Tue Feb 04 23:20:46 2014  max relations containing the same ideal: 84
Tue Feb 04 23:20:51 2014  relations with 0 large ideals: 2863
Tue Feb 04 23:20:51 2014  relations with 1 large ideals: 1180
Tue Feb 04 23:20:51 2014  relations with 2 large ideals: 20301
Tue Feb 04 23:20:51 2014  relations with 3 large ideals: 147436
Tue Feb 04 23:20:51 2014  relations with 4 large ideals: 562635
Tue Feb 04 23:20:51 2014  relations with 5 large ideals: 1241244
Tue Feb 04 23:20:51 2014  relations with 6 large ideals: 1663503
Tue Feb 04 23:20:51 2014  relations with 7+ large ideals: 1876494
Tue Feb 04 23:20:51 2014  commencing 2-way merge
Tue Feb 04 23:20:56 2014  reduce to 3173240 relation sets and 3038549 unique ideals
Tue Feb 04 23:20:56 2014  commencing full merge
Tue Feb 04 23:22:09 2014  memory use: 364.9 MB
Tue Feb 04 23:22:10 2014  found 1613977 cycles, need 1598749
Tue Feb 04 23:22:10 2014  weight of 1598749 cycles is about 111974087 (70.04/cycle)
Tue Feb 04 23:22:10 2014  distribution of cycle lengths:
Tue Feb 04 23:22:10 2014  1 relations: 227802
Tue Feb 04 23:22:10 2014  2 relations: 200633
Tue Feb 04 23:22:10 2014  3 relations: 189655
Tue Feb 04 23:22:10 2014  4 relations: 163880
Tue Feb 04 23:22:10 2014  5 relations: 143986
Tue Feb 04 23:22:10 2014  6 relations: 119349
Tue Feb 04 23:22:10 2014  7 relations: 101652
Tue Feb 04 23:22:10 2014  8 relations: 84029
Tue Feb 04 23:22:10 2014  9 relations: 69897
Tue Feb 04 23:22:10 2014  10+ relations: 297866
Tue Feb 04 23:22:10 2014  heaviest cycle: 25 relations
Tue Feb 04 23:22:10 2014  commencing cycle optimization
Tue Feb 04 23:22:13 2014  start with 9308022 relations
Tue Feb 04 23:22:35 2014  pruned 191431 relations
Tue Feb 04 23:22:35 2014  memory use: 315.4 MB
Tue Feb 04 23:22:35 2014  distribution of cycle lengths:
Tue Feb 04 23:22:35 2014  1 relations: 227802
Tue Feb 04 23:22:35 2014  2 relations: 204710
Tue Feb 04 23:22:35 2014  3 relations: 195413
Tue Feb 04 23:22:35 2014  4 relations: 166907
Tue Feb 04 23:22:35 2014  5 relations: 146290
Tue Feb 04 23:22:35 2014  6 relations: 120310
Tue Feb 04 23:22:35 2014  7 relations: 101609
Tue Feb 04 23:22:35 2014  8 relations: 83274
Tue Feb 04 23:22:35 2014  9 relations: 69079
Tue Feb 04 23:22:35 2014  10+ relations: 283355
Tue Feb 04 23:22:35 2014  heaviest cycle: 25 relations
Tue Feb 04 23:22:37 2014  RelProcTime: 789
Tue Feb 04 23:22:37 2014  elapsed time 00:13:11
Tue Feb 04 23:22:37 2014 LatSieveTime: 3605.86
Tue Feb 04 23:22:37 2014 -> Running matrix solving step ...
Tue Feb 04 23:22:37 2014  
Tue Feb 04 23:22:37 2014  
Tue Feb 04 23:22:37 2014  Msieve v. 1.52 (SVN 927)
Tue Feb 04 23:22:37 2014  random seeds: e6145400 024dacdd
Tue Feb 04 23:22:37 2014  factoring 14016343553388198334544079233398853377926083094750524776236317087491699378042002002755939966398240676751144871915567179478982264925864677 (137 digits)
Tue Feb 04 23:22:38 2014  searching for 15-digit factors
Tue Feb 04 23:22:40 2014  commencing number field sieve (137-digit input)
Tue Feb 04 23:22:40 2014  R0: -1000000000000000000000000000000000000
Tue Feb 04 23:22:40 2014  R1: 1
Tue Feb 04 23:22:40 2014  A0: -23
Tue Feb 04 23:22:40 2014  A1: 0
Tue Feb 04 23:22:40 2014  A2: 0
Tue Feb 04 23:22:40 2014  A3: 0
Tue Feb 04 23:22:40 2014  A4: 0
Tue Feb 04 23:22:40 2014  A5: 68
Tue Feb 04 23:22:40 2014  skew 0.81, size 8.087e-013, alpha 1.218, combined = 7.333e-011 rroots = 1
Tue Feb 04 23:22:40 2014  
Tue Feb 04 23:22:40 2014  commencing linear algebra
Tue Feb 04 23:22:40 2014  read 1598749 cycles
Tue Feb 04 23:22:44 2014  cycles contain 5359684 unique relations
Tue Feb 04 23:24:04 2014  read 5359684 relations
Tue Feb 04 23:24:14 2014  using 20 quadratic characters above 268434822
Tue Feb 04 23:24:48 2014  building initial matrix
Tue Feb 04 23:26:08 2014  memory use: 651.2 MB
Tue Feb 04 23:26:10 2014  read 1598749 cycles
Tue Feb 04 23:26:11 2014  matrix is 1598570 x 1598749 (480.2 MB) with weight 140454734 (87.85/col)
Tue Feb 04 23:26:11 2014  sparse part has weight 108285989 (67.73/col)
Tue Feb 04 23:26:33 2014  filtering completed in 2 passes
Tue Feb 04 23:26:34 2014  matrix is 1595870 x 1596049 (479.9 MB) with weight 140361417 (87.94/col)
Tue Feb 04 23:26:34 2014  sparse part has weight 108250218 (67.82/col)
Tue Feb 04 23:26:40 2014  matrix starts at (0, 0)
Tue Feb 04 23:26:41 2014  matrix is 1595870 x 1596049 (479.9 MB) with weight 140361417 (87.94/col)
Tue Feb 04 23:26:41 2014  sparse part has weight 108250218 (67.82/col)
Tue Feb 04 23:26:41 2014  saving the first 48 matrix rows for later
Tue Feb 04 23:26:42 2014  matrix includes 64 packed rows
Tue Feb 04 23:26:42 2014  matrix is 1595822 x 1596049 (454.7 MB) with weight 111852873 (70.08/col)
Tue Feb 04 23:26:42 2014  sparse part has weight 103228791 (64.68/col)
Tue Feb 04 23:26:42 2014  using block size 8192 and superblock size 294912 for processor cache size 3072 kB
Tue Feb 04 23:26:51 2014  commencing Lanczos iteration (4 threads)
Tue Feb 04 23:26:51 2014  memory use: 364.3 MB
Tue Feb 04 23:27:03 2014  linear algebra at 0.1%, ETA 3h12m
Tue Feb 04 23:27:07 2014  checkpointing every 490000 dimensions
Wed Feb 05 03:57:27 2014  lanczos halted after 25240 iterations (dim = 1595815)
Wed Feb 05 03:57:33 2014  recovered 36 nontrivial dependencies
Wed Feb 05 03:57:35 2014  BLanczosTime: 16495
Wed Feb 05 03:57:35 2014  elapsed time 04:34:58
Wed Feb 05 03:57:35 2014 -> Running square root step ...
Wed Feb 05 03:57:35 2014  
Wed Feb 05 03:57:35 2014  
Wed Feb 05 03:57:35 2014  Msieve v. 1.52 (SVN 927)
Wed Feb 05 03:57:35 2014  random seeds: dfe5ce30 f3338025
Wed Feb 05 03:57:35 2014  factoring 14016343553388198334544079233398853377926083094750524776236317087491699378042002002755939966398240676751144871915567179478982264925864677 (137 digits)
Wed Feb 05 03:57:36 2014  searching for 15-digit factors
Wed Feb 05 03:57:37 2014  commencing number field sieve (137-digit input)
Wed Feb 05 03:57:37 2014  R0: -1000000000000000000000000000000000000
Wed Feb 05 03:57:37 2014  R1: 1
Wed Feb 05 03:57:37 2014  A0: -23
Wed Feb 05 03:57:37 2014  A1: 0
Wed Feb 05 03:57:37 2014  A2: 0
Wed Feb 05 03:57:37 2014  A3: 0
Wed Feb 05 03:57:37 2014  A4: 0
Wed Feb 05 03:57:37 2014  A5: 68
Wed Feb 05 03:57:37 2014  skew 0.81, size 8.087e-013, alpha 1.218, combined = 7.333e-011 rroots = 1
Wed Feb 05 03:57:37 2014  
Wed Feb 05 03:57:37 2014  commencing square root phase
Wed Feb 05 03:57:37 2014  reading relations for dependency 1
Wed Feb 05 03:57:38 2014  read 799113 cycles
Wed Feb 05 03:57:40 2014  cycles contain 2680618 unique relations
Wed Feb 05 03:58:26 2014  read 2680618 relations
Wed Feb 05 03:58:45 2014  multiplying 2680618 relations
Wed Feb 05 04:00:58 2014  multiply complete, coefficients have about 75.62 million bits
Wed Feb 05 04:00:59 2014  initial square root is modulo 267781
Wed Feb 05 04:03:55 2014  GCD is N, no factor found
Wed Feb 05 04:03:55 2014  reading relations for dependency 2
Wed Feb 05 04:03:56 2014  read 797698 cycles
Wed Feb 05 04:03:58 2014  cycles contain 2679046 unique relations
Wed Feb 05 04:04:42 2014  read 2679046 relations
Wed Feb 05 04:05:00 2014  multiplying 2679046 relations
Wed Feb 05 04:07:15 2014  multiply complete, coefficients have about 75.57 million bits
Wed Feb 05 04:07:16 2014  initial square root is modulo 265831
Wed Feb 05 04:10:16 2014  GCD is 1, no factor found
Wed Feb 05 04:10:16 2014  reading relations for dependency 3
Wed Feb 05 04:10:17 2014  read 798433 cycles
Wed Feb 05 04:10:19 2014  cycles contain 2680538 unique relations
Wed Feb 05 04:11:02 2014  read 2680538 relations
Wed Feb 05 04:11:21 2014  multiplying 2680538 relations
Wed Feb 05 04:13:35 2014  multiply complete, coefficients have about 75.62 million bits
Wed Feb 05 04:13:36 2014  initial square root is modulo 267781
Wed Feb 05 04:16:32 2014  sqrtTime: 1135
Wed Feb 05 04:16:32 2014  prp61 factor: 9067647790334906745029788415987836419853855890315293032457687
Wed Feb 05 04:16:32 2014  prp76 factor: 1545752975576317045820513156460412781511667127997285084389767436431479524771
Wed Feb 05 04:16:32 2014  elapsed time 00:18:57
Wed Feb 05 04:16:32 2014 -> Computing 1.39157e+09 scale for this machine...
Wed Feb 05 04:16:32 2014 -> procrels -speedtest> PIPE

factmsieve.py via ggnfs

Core i3 350M @ 2.1GHz Windows 7 Home Premium 64

1121162790018338520311649228360867303766509012027003378158108885254425455682652368827909961513492955195279371639300983184092234176990951600770927093473917922866962075049<169>

38598682883175609390323251425782435277277<41>
29046659271035148761351467154277519523956667361843834345754724201204153127862427126768774462617977911437682974304082928977765437<128>

N=1121162790018338520311649228360867303766509012027003378158108885254425455682652368827909961513492955195279371639300983184092234176990951600770927093473917922866962075049
  ( 169 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=38598682883175609390323251425782435277277 (pp41)
 r2=29046659271035148761351467154277519523956667361843834345754724201204153127862427126768774462617977911437682974304082928977765437 (pp128)
Version: Msieve v. 1.47
Total time:
Scaled time: 39.33 units (timescale=1.295).
Factorization parameters were as follows:
n: 1121162790018338520311649228360867303766509012027003378158108885254425455682652368827909961513492955195279371639300983184092234176990951600770927093473917922866962075049
m: 1000000000000000000000000000000000000
deg: 5
c5: 680
c0: -23
skew: 0.51
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3900000, 11100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1563758 x 1563985
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
total time:

251851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851<183>

11777761523625520660252359292037433875427173727723153586480839903240239111<74>
21383677309703659883015838548013917659824545617725969319273354999568708543887195065630251107479541596707165341<110>

N=251851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851
  ( 183 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=11777761523625520660252359292037433875427173727723153586480839903240239111 (pp74)
 r2=21383677309703659883015838548013917659824545617725969319273354999568708543887195065630251107479541596707165341 (pp110)
Version: Msieve-1.40
Total time: 218.56 hours.
Scaled time: 403.24 units (timescale=1.845).
Factorization parameters were as follows:
n: 251851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851851
m: 1000000000000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4050000, 7650001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1388385 x 1388610
Total sieving time: 215.71 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.47 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 218.56 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

4073995991528172253317829030910588494947942023877311730449870015431768631429354910727686755073156393606491126438600488865544503919145649<136>

3203446046525728618564267986845628673633<40>
1271754208548819326705827176503520044669236013827948674565982307593584265837280283454667086300753<97>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2828262676
Step 1 took 21871ms
Step 2 took 11123ms
********** Factor found in step 2: 3203446046525728618564267986845628673633
Found probable prime factor of 40 digits: 3203446046525728618564267986845628673633
Probable prime cofactor 1271754208548819326705827176503520044669236013827948674565982307593584265837280283454667086300753 has 97 digits

GMP-ECM 6.3

22140551484881347535411182257018047287747129896141552852451879227406319942383124127534919835154229104735142106427614666512078364155042238551987075888572843499474386560957<170>

8377049239545571015327734482201443<34>
2643001234893350573533373608321113252401068209153840997409894362520609434265127281466569527915829457415923850136672300654697020027656799<136>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4105481946
Step 1 took 8674ms
Step 2 took 6225ms
********** Factor found in step 2: 8377049239545571015327734482201443
Found probable prime factor of 34 digits: 8377049239545571015327734482201443
Probable prime cofactor 2643001234893350573533373608321113252401068209153840997409894362520609434265127281466569527915829457415923850136672300654697020027656799 has 136 digits

GMP-ECM 6.3

7114865828192845104931251929329612304273934676643834476233374652374665148794140497049760347348195278046136227906874255602887837513617931449714468461771569595566288630661281<172>

10379560642552507036838575518226695761<38>
685468881893172403139894266959276894509803121870939732729975703483908324789062114778869368963655544196942808741533886075469896101802321<135>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=606520047
Step 1 took 88718ms
Step 2 took 43773ms
********** Factor found in step 2: 10379560642552507036838575518226695761
Found probable prime factor of 38 digits: 10379560642552507036838575518226695761
Probable prime cofactor 685468881893172403139894266959276894509803121870939732729975703483908324789062114778869368963655544196942808741533886075469896101802321 has 135 digits

GMP-ECM 6.3

93607562951191867037599030886671263414351549681539484011216639789479697085518090466806569774487188163254735366552831<116>

1209065800307309008374557009533239527027220494573177<52>
77421396691064766196756792148534956490086283327224106760990062903<65>

Number: 75553_188
N = 93607562951191867037599030886671263414351549681539484011216639789479697085518090466806569774487188163254735366552831 (116 digits)
Divisors found:
r1=1209065800307309008374557009533239527027220494573177 (pp52)
r2=77421396691064766196756792148534956490086283327224106760990062903 (pp65)
Version: Msieve v. 1.43
Total time: 31.35 hours.
Factorization parameters were as follows:
n: 93607562951191867037599030886671263414351549681539484011216639789479697085518090466806569774487188163254735366552831
Y0: -28231203245168159559634
Y1: 1778885320421
c0: -48329771797454096102003334255
c1: -1973342443515629174314157
c2: 283864575657235627
c3: 452030515989589
c4: -1241357424
c5: 5220
skew: 101800.880000
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [1700000, 3099999)
Relations: 1051790 relations
Max relations in full relation-set: 0
Pruned matrix : 577398 x 577624
Polynomial selection time: 0.00 hours.
Total sieving time: 29.91 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.01 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 31.35 hours.
 --------- CPU info (if available) ----------

factmsieve.py + ggnfs + msieve 1.43

PentiumD 3.0GHz Windows XP

602090840116247330627546548361445907136030792942323594436510377799350575172479206791792754443081793348292785345514790399508612899243362389008496190574654734920301895663<168>

14640286788911168560457543520187076437915910149<47>
138366781520285110543174074322771289422028053797151<51>
297221756746092703074267862377410185325898235504912134103215597337867837<72>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1924363566
Step 1 took 92429ms
Step 2 took 30695ms
********** Factor found in step 2: 14640286788911168560457543520187076437915910149
Found probable prime factor of 47 digits: 14640286788911168560457543520187076437915910149
Composite cofactor 41125617878761936216452484727252854186392800973108607043420756180808922330867889050594699117137700456376656053910045132387 has 122 digits

prp51 = 138366781520285110543174074322771289422028053797151
prp72 = 297221756746092703074267862377410185325898235504912134103215597337867837
NFS elapsed time = 17015.7569 seconds.

ECM 6.3, YAFU 1.33

19679080877188396805625360837565901640779402319124101724800464001946992029038565273960216887747971505936617775536458083200637057761809197237407955245398888464568992601435421186209<179>

19888764865115910214368573756758418535028337850155580106453<59>
989457163913919529041984951000655430389115445696199074870522986978771171461342595028301506656929052222408330920751671453<120>

p59 factor: 19888764865115910214368573756758418535028337850155580106453
p120 factor: 989457163913919529041984951000655430389115445696199074870522986978771171461342595028301506656929052222408330920751671453


Msieve v. 1.54 (SVN 1032M)
random seeds: 30b9d77a b04d33c3
factoring 19679080877188396805625360837565901640779402319124101724800464001946992029038565273960216887747971505936617775536458083200637057761809197237407955245398888464568992601435421186209 (179 digits)
searching for 15-digit factors
commencing number field sieve (179-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 680
skew 1.00, size 1.517e-13, alpha 0.252, combined = 2.637e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 1273352 hash collisions in 37838615 relations
added 728151 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 38566766 unique relations
memory use: 126.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1261.2 MB
keeping 40633610 ideals with weight <= 200, target excess is 206339
commencing in-memory singleton removal
begin with 38566766 relations and 40633610 unique ideals
reduce to 15315269 relations and 13500033 ideals in 15 passes
max relations containing the same ideal: 109
removing 2055261 relations and 1655261 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 13260008 relations and 13500033 unique ideals
reduce to 13033901 relations and 11611030 ideals in 9 passes
max relations containing the same ideal: 97
removing 1642342 relations and 1242342 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 11391559 relations and 11611030 unique ideals
reduce to 11220942 relations and 10192786 ideals in 9 passes
max relations containing the same ideal: 94
removing 1541365 relations and 1141365 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9679577 relations and 10192786 unique ideals
reduce to 9501535 relations and 8867323 ideals in 9 passes
max relations containing the same ideal: 85
removing 1501150 relations and 1106292 ideals in 394858 cliques
commencing in-memory singleton removal
begin with 8000385 relations and 8867323 unique ideals
reduce to 7792618 relations and 7545289 ideals in 8 passes
max relations containing the same ideal: 74
relations with 0 large ideals: 4380
relations with 1 large ideals: 11620
relations with 2 large ideals: 97126
relations with 3 large ideals: 434478
relations with 4 large ideals: 1172576
relations with 5 large ideals: 1960329
relations with 6 large ideals: 2133101
relations with 7+ large ideals: 1979008
commencing 2-way merge
reduce to 4810038 relation sets and 4562709 unique ideals
commencing full merge
memory use: 526.7 MB
found 2223851 cycles, need 2194909
weight of 2194909 cycles is about 197951003 (90.19/cycle)
distribution of cycle lengths:
1 relations: 180827
2 relations: 180304
3 relations: 188781
4 relations: 188176
5 relations: 183549
6 relations: 171974
7 relations: 162758
8 relations: 148282
9 relations: 132658
10+ relations: 657600
heaviest cycle: 27 relations
commencing cycle optimization
start with 16283149 relations
pruned 561819 relations
memory use: 481.4 MB
distribution of cycle lengths:
1 relations: 180827
2 relations: 184786
3 relations: 195901
4 relations: 194766
5 relations: 190748
6 relations: 178152
7 relations: 168207
8 relations: 152194
9 relations: 135161
10+ relations: 614167
heaviest cycle: 26 relations
RelProcTime: 704
elapsed time 00:11:47


Msieve v. 1.54 (SVN 1032M)
random seeds: 82753be5 d951c9b1
factoring 19679080877188396805625360837565901640779402319124101724800464001946992029038565273960216887747971505936617775536458083200637057761809197237407955245398888464568992601435421186209 (179 digits)
searching for 15-digit factors
commencing number field sieve (179-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 680
skew 1.00, size 1.517e-13, alpha 0.252, combined = 2.637e-11 rroots = 1

commencing linear algebra
read 2194909 cycles
cycles contain 7563860 unique relations
read 7563860 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 937.0 MB
read 2194909 cycles
matrix is 2194730 x 2194909 (806.3 MB) with weight 238926945 (108.86/col)
sparse part has weight 187217982 (85.30/col)
filtering completed in 2 passes
matrix is 2193718 x 2193896 (806.2 MB) with weight 238881657 (108.88/col)
sparse part has weight 187197092 (85.33/col)
matrix starts at (0, 0)
matrix is 2193718 x 2193896 (806.2 MB) with weight 238881657 (108.88/col)
sparse part has weight 187197092 (85.33/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2193670 x 2193896 (770.6 MB) with weight 196349525 (89.50/col)
sparse part has weight 180082182 (82.08/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 729.0 MB
linear algebra at 0.1%, ETA 1h36m
checkpointing every 1220000 dimensions
lanczos halted after 34694 iterations (dim = 2193668)
recovered 36 nontrivial dependencies
BLanczosTime: 6471
elapsed time 01:47:53


Msieve v. 1.54 (SVN 1032M)
random seeds: 9c394806 4ef0893f
factoring 19679080877188396805625360837565901640779402319124101724800464001946992029038565273960216887747971505936617775536458083200637057761809197237407955245398888464568992601435421186209 (179 digits)
searching for 15-digit factors
commencing number field sieve (179-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: -23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 680
skew 1.00, size 1.517e-13, alpha 0.252, combined = 2.637e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1096480 cycles
cycles contain 3778302 unique relations
read 3778302 relations
multiplying 3778302 relations
multiply complete, coefficients have about 117.55 million bits
initial square root is modulo 273588131
GCD is N, no factor found
reading relations for dependency 2
read 1097813 cycles
cycles contain 3783150 unique relations
read 3783150 relations
multiplying 3783150 relations
multiply complete, coefficients have about 117.70 million bits
initial square root is modulo 280601341
GCD is 1, no factor found
reading relations for dependency 3
read 1096507 cycles
cycles contain 3779716 unique relations
read 3779716 relations
multiplying 3779716 relations
multiply complete, coefficients have about 117.59 million bits
initial square root is modulo 275547031
GCD is 1, no factor found
reading relations for dependency 4
read 1097191 cycles
cycles contain 3782108 unique relations
read 3782108 relations
multiplying 3782108 relations
multiply complete, coefficients have about 117.66 million bits
initial square root is modulo 278985611
sqrtTime: 1227
p59 factor: 19888764865115910214368573756758418535028337850155580106453
p120 factor: 989457163913919529041984951000655430389115445696199074870522986978771171461342595028301506656929052222408330920751671453
elapsed time 00:20:29

CADO-NFS/Msieve

1067319615137103482915038219459747924220307325265652713032286418357897380358179906138657374707664296589285994569226664155326395755834942160694385584906844971825901335719106590698623471614007<190>

63613572392957084576508207315349265203004641150729645459<56>
16778174452206534883152067463940700592929852483963382763780876033049909552135548823300625828709641521501569582794433988435378731274573<134>

Number: 75553_192
N=1067319615137103482915038219459747924220307325265652713032286418357897380358179906138657374707664296589285994569226664155326395755834942160694385584906844971825901335719106590698623471614007
  ( 190 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=63613572392957084576508207315349265203004641150729645459
 r2=16778174452206534883152067463940700592929852483963382763780876033049909552135548823300625828709641521501569582794433988435378731274573
Version: 
Total time: 594.73 hours.
Scaled time: 1198.39 units (timescale=2.015).
Factorization parameters were as follows:
n: 1067319615137103482915038219459747924220307325265652713032286418357897380358179906138657374707664296589285994569226664155326395755834942160694385584906844971825901335719106590698623471614007
m: 100000000000000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5950000, 12350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2261372 x 2261620
Total sieving time: 594.73 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,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 594.73 hours.
 --------- CPU info (if available) ----------

107989192694668547600736858897153877720863570172105826908182493849407641780365688250822651740589927504995980104833346089483550952058447151147757460337102901<156>

2950439730067025439886860134543<31>

36601050207595783056463823476144057320818941944315348837326649296262448052444428612534368883007563163705590874642292693267707<125>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=872032561
Step 1 took 52309ms
Step 2 took 17273ms
********** Factor found in step 2: 2950439730067025439886860134543
Found probable prime factor of 31 digits: 2950439730067025439886860134543
Composite cofactor 36601050207595783056463823476144057320818941944315348837326649296262448052444428612534368883007563163705590874642292693267707 has 125 digits

GMP-ECM 6.2.1

36601050207595783056463823476144057320818941944315348837326649296262448052444428612534368883007563163705590874642292693267707<125>

49048950061795794340457973691105309986065137<44>
746214754066760849729481357929582327434558070834913880105118038570073595210237611<81>

Number: 75553_196
N = 36601050207595783056463823476144057320818941944315348837326649296262448052444428612534368883007563163705590874642292693267707 (125 digits)
Divisors found:
r1=49048950061795794340457973691105309986065137 (pp44)
r2=746214754066760849729481357929582327434558070834913880105118038570073595210237611 (pp81)
Version: Msieve v. 1.43
Total time: 47.77 hours.
Factorization parameters were as follows:
n: 36601050207595783056463823476144057320818941944315348837326649296262448052444428612534368883007563163705590874642292693267707
Y0: -1486677086357847150789477
Y1: 21979542601217
c0: -48322279483274302603658344653680
c1: -266292275006214097186940228
c2: 1218361242603675494380
c3: 3232412391882045
c4: -15878307846
c5: 5040
skew: 422443.69 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [2750000, 5950000)
Relations: 11130333
Relations in full relation-set: 1676950 relations
Pruned matrix : 968808 x 969034
Polynomial selection time: 0.00 hours.
Total sieving time: 44.70 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.48 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 47.77 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

105279580879072546244454023760847509625372558426629928816993090112521649338875123308594293373312912459104074982907810394386821256135271803172127968642686584000688720727741632629<177>

412658374331310198554305715677005650758508656338315685904085071913136016244720591844367<87>
255125274143950707787163520859478207073906826449321467811455617607528954738627659195408187<90>

Number: n
N=105279580879072546244454023760847509625372558426629928816993090112521649338875123308594293373312912459104074982907810394386821256135271803172127968642686584000688720727741632629  ( 177 digits)
SNFS difficulty: 198 digits.
Divisors found:

Fri Mar 19 12:11:08 2021  p87 factor: 412658374331310198554305715677005650758508656338315685904085071913136016244720591844367
Fri Mar 19 12:11:08 2021  p90 factor: 255125274143950707787163520859478207073906826449321467811455617607528954738627659195408187
Fri Mar 19 12:11:08 2021  elapsed time 01:18:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 68x10^197-23 = 75(196)3
#
n: 105279580879072546244454023760847509625372558426629928816993090112521649338875123308594293373312912459104074982907810394386821256135271803172127968642686584000688720727741632629
m: 1000000000000000000000000000000000000000
deg: 5
c5: 6800
c0: -23
skew: 0.32
# Murphy_E = 1.503e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4503250 hash collisions in 30643266 relations (27647701 unique)
Msieve: matrix is 1878570 x 1878795 (655.4 MB)

Sieving start time : 2021/03/19 02:35:22
Sieving end time  : 2021/03/19 10:51:44

Total sieving time: 8hrs 16min 22secs.

Total relation processing time: 1hrs 6min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 53sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116948] 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)
[    0.153521] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152037] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

23967027541594212376952923159765941302317048580976825982443552180848656240907785972436767532747919693573886466010608946225812542357393946679416251133687<152>

115921604599063322987268818013388934699218003<45>
206752034053433662137093890897985380297984867321159107509562229630671325726447698232541934239872158154737229<108>

23967027541594212376952923159765941302317048580976825982443552180848656240907785972436767532747919693573886466010608946225812542357393946679416251133687=115921604599063322987268818013388934699218003*206752034053433662137093890897985380297984867321159107509562229630671325726447698232541934239872158154737229 115921604599063322987268818013388934699218003

cado polynomial
n: 23967027541594212376952923159765941302317048580976825982443552180848656240907785972436767532747919693573886466010608946225812542357393946679416251133687
skew: 0.83
type: snfs
c0: -23
c6: 68
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 68*x^6-23
# g(x) = -x+1000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 206752034053433662137093890897985380297984867321159107509562229630671325726447698232541934239872158154737229 115921604599063322987268818013388934699218003
Info:Square Root: Total cpu/real time for sqrt: 896.92/274.027
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29961421
Info:Lattice Sieving: Average J: 1895.58 for 4640016 special-q, max bucket fill -bkmult 1.0,1s:1.215800
Info:Lattice Sieving: Total time: 963705s
Info:Generate Factor Base: Total cpu/real time for makefb: 9.82/3.89385
Info:Generate Free Relations: Total cpu/real time for freerel: 182.49/47.2707
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 128.56/154.438
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 153.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 562.83/524.229
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 421.0s
Info:Filtering - Merging: Merged matrix has 2944861 rows and total weight 503921198 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 844.56/232.715
Info:Filtering - Merging: Total cpu/real time for replay: 118.23/104.526
Info:Linear Algebra: Total cpu/real time for bwc: 158297/40516.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 101347.21, WCT time 25870.61, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (92160 iterations)
Info:Linear Algebra: Lingen CPU time 638.39, WCT time 162.04
Info:Linear Algebra: Mksol: CPU time 55196.94,  WCT time 14083.25, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46080 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 102.48/44.3014
Info:Square Root: Total cpu/real time for sqrt: 896.92/274.027
Info:Filtering - Singleton removal: Total cpu/real time for purge: 457.61/500.179
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.02388e+06/123048
Info:root: Cleaning up computation data in /tmp/cado.uke_4099
206752034053433662137093890897985380297984867321159107509562229630671325726447698232541934239872158154737229 115921604599063322987268818013388934699218003

cado-nfs-3.0.0

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

53959270049839849726066886178281928311276943581882465706652550373893182605195459813213807490036025490325586019873693532502080833574983594464811582312737392546657364480928367<173>

101469760028937033974448547266378775699520110485371<51>
531776856813811373493148756985684670591494477346675998700738944933108756720469401402110067187769235770290316919431235998877<123>

Number: n
N=53959270049839849726066886178281928311276943581882465706652550373893182605195459813213807490036025490325586019873693532502080833574983594464811582312737392546657364480928367
  ( 173 digits)
SNFS difficulty: 201 digits.
Divisors found:

Mon Oct 15 10:33:43 2012  prp51 factor: 101469760028937033974448547266378775699520110485371
Mon Oct 15 10:33:43 2012  prp123 factor: 531776856813811373493148756985684670591494477346675998700738944933108756720469401402110067187769235770290316919431235998877
Mon Oct 15 10:33:43 2012  elapsed time 07:39:25 (Msieve 1.44 - dependency 4)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
name: KA_75553_200
n: 53959270049839849726066886178281928311276943581882465706652550373893182605195459813213807490036025490325586019873693532502080833574983594464811582312737392546657364480928367
m: 10000000000000000000000000000000000000000
#  c173, diff: 201.83
skew: 0.805
deg: 5
c5: 68
c0: -23
# Murphy_E = 1.236e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34700000)
Primes: RFBsize:1043113, AFBsize:1043890,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9077932 hash collisions in 61713964 relations (54969043 unique)
Msieve: matrix is 2129616 x 2129841 (601.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

56729294713372205437186275536085997101385230170318430821605520978580451258420980552262077024074754624799933804581699298631359952046867005550123691606110905169482050608505003948285418819<185>

1570383743302672249735710951560735270945794201005812348460462922136243<70>
36124479099652987223749956943144271230305942050689302543281183059557682917619554754755169539899633963109206587939633<116>

Number: n
N=56729294713372205437186275536085997101385230170318430821605520978580451258420980552262077024074754624799933804581699298631359952046867005550123691606110905169482050608505003948285418819  ( 185 digits)
SNFS difficulty: 202 digits.
Divisors found:

Mon Aug 30 18:39:29 2021  p70 factor: 1570383743302672249735710951560735270945794201005812348460462922136243
Mon Aug 30 18:39:29 2021  p116 factor: 36124479099652987223749956943144271230305942050689302543281183059557682917619554754755169539899633963109206587939633
Mon Aug 30 18:39:29 2021  elapsed time 01:46:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 68x10^201-23 = 75(200)3
#
n: 56729294713372205437186275536085997101385230170318430821605520978580451258420980552262077024074754624799933804581699298631359952046867005550123691606110905169482050608505003948285418819
m: 10000000000000000000000000000000000000000
deg: 5
c5: 680
c0: -23
skew: 0.51
# Murphy_E = 1.138e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 50000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 13040919 hash collisions in 84834467 relations (73513973 unique)
Msieve: matrix is 1996424 x 1996651 (675.6 MB)

Sieving start time : 2021/08/29 23:18:32
Sieving end time  : 2021/08/30 16:51:42

Total sieving time: 17hrs 33min 10secs.

Total relation processing time: 1hrs 15min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 11sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116939] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239968K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487268K reserved, 0K cma-reserved)
[    0.154077] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.20 BogoMIPS (lpj=12798404)
[    0.152034] smpboot: Total of 16 processors activated (102387.23 BogoMIPS)

43157175641225680637279911142736537101557850262060521949763235840766462990736371970526022935568866603206286598035037685273851020764431319727899544393841113770742507744234504656290606901909676989<194>

2965093912688109845518628461040120053<37>

14555078831246876065623638824536107503420418340649272013486626437336704502037286184258974524155733837581285661014163063725412541196035787474058041019885587113<158>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1168572739
Step 1 took 116261ms
Step 2 took 33335ms
********** Factor found in step 2: 2965093912688109845518628461040120053
Found probable prime factor of 37 digits: 2965093912688109845518628461040120053

14555078831246876065623638824536107503420418340649272013486626437336704502037286184258974524155733837581285661014163063725412541196035787474058041019885587113<158>

2343578106797210384816798649683716418225375381<46>
6210622461880817443869642869634864575586870982357355054534798652427182929453420122603869642862742903918721970373<112>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1779895235
Step 1 took 26078ms
Step 2 took 11703ms
********** Factor found in step 2: 2343578106797210384816798649683716418225375381
Found prime factor of 46 digits: 2343578106797210384816798649683716418225375381
Prime cofactor 6210622461880817443869642869634864575586870982357355054534798652427182929453420122603869642862742903918721970373 has 112 digits
 

GMP-ECM

1192782118137948331859060071202702327105003681545135529827502009001548056494035336204154639309486092620140943668028502374880460254078214756996069678023007794298976334871196517032171891317293<190>

1727524204375526949377076145814845457689888013<46>
690457543296257582826102035170652715863724206868650077034553948124902065481288026703549451633844956879626311731067371800856482326598699420934561<144>

#
# N = 68x10^203-23 = 75(202)3
#
n: 1192782118137948331859060071202702327105003681545135529827502009001548056494035336204154639309486092620140943668028502374880460254078214756996069678023007794298976334871196517032171891317293
m: 20000000000000000000000000000000000000000
deg: 5
c5: 2125
c0: -23
skew: 0.40
# Murphy_E = 8.623e-12
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1192782118137948331859060071202702327105003681545135529827502009001548056494035336204154639309486092620140943668028502374880460254078214756996069678023007794298976334871196517032171891317293 (190 digits)
Using B1=37320000, B2=192391008826, polynomial Dickson(12), sigma=1:4189233748
Step 1 took 101386ms
Step 2 took 33984ms
********** Factor found in step 2: 1727524204375526949377076145814845457689888013
Found prime factor of 46 digits: 1727524204375526949377076145814845457689888013
Prime cofactor 690457543296257582826102035170652715863724206868650077034553948124902065481288026703549451633844956879626311731067371800856482326598699420934561 has 144 digits

1821224744830951369250261889126015766085846990726260281118291113995611322775697222662751873481786330470820398198919951976168532548334789778906275959335677885794353<163>

74618922135543865320805613609651825096096194813764630575279231999854912284653<77>
24407009545417058618759395283325817531533135893927775344545686377127526663799401074901<86>

Number: n
N=1821224744830951369250261889126015766085846990726260281118291113995611322775697222662751873481786330470820398198919951976168532548334789778906275959335677885794353  ( 163 digits)
SNFS difficulty: 205 digits.
Divisors found:

Fri Nov 24 18:38:00 2023  prp77 factor: 74618922135543865320805613609651825096096194813764630575279231999854912284653
Fri Nov 24 18:38:00 2023  prp86 factor: 24407009545417058618759395283325817531533135893927775344545686377127526663799401074901
Fri Nov 24 18:38:00 2023  elapsed time 03:17:40 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.080).
Factorization parameters were as follows:
#
# N = 68x10^204-23 = 75(203)3
#
n: 1821224744830951369250261889126015766085846990726260281118291113995611322775697222662751873481786330470820398198919951976168532548334789778906275959335677885794353
m: 10000000000000000000000000000000000
deg: 6
c6: 68
c0: -23
skew: 0.83
# Murphy_E = 7.752e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 63850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3779111 hash collisions in 20136144 relations (16953150 unique)
Msieve: matrix is 2461797 x 2462022 (691.5 MB)

Sieving start time: 2023/11/23 12:58:08
Sieving end time  : 2023/11/24 15:19:53

Total sieving time: 26hrs 21min 45secs.

Total relation processing time: 3hrs 8min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 43sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1947106852628695955034461909850288232365666934435111460486125198950739370779019676191899510303611490370323789312119528402562061140507299272287687028567165346157066467626051<172>

43445153045306809262680928840453<32>

44817585303431988513838052909420836049098438957224885976543268045496338228497314623026640384029764810346943721638759904698194899374044236967<140>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=477520588
Step 1 took 7800ms
Step 2 took 5834ms
********** Factor found in step 2: 43445153045306809262680928840453
Found probable prime factor of 32 digits: 43445153045306809262680928840453
Composite cofactor 44817585303431988513838052909420836049098438957224885976543268045496338228497314623026640384029764810346943721638759904698194899374044236967 has 140 digits

GMP-ECM 6.3

44817585303431988513838052909420836049098438957224885976543268045496338228497314623026640384029764810346943721638759904698194899374044236967<140>

14496137039347268388071883468790180293001065327696624667655137611481<68>
3091691612860886238137093218168605909751925285326449128385454933184628607<73>

Number: 75553_205
N = 44817585303431988513838052909420836049098438957224885976543268045496338228497314623026640384029764810346943721638759904698194899374044236967 (140 digits)
Divisors found:
r1=14496137039347268388071883468790180293001065327696624667655137611481 (pp68)
r2=3091691612860886238137093218168605909751925285326449128385454933184628607 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 360.76 hours.
Factorization parameters were as follows:
# Murphy_E = 2.01252328e-11, selected by Maksym Voznyy
# selected by cado-nfs-2.2.0
n: 44817585303431988513838052909420836049098438957224885976543268045496338228497314623026640384029764810346943721638759904698194899374044236967
Y0: -1079234617449848775805788799
Y1: 138978739530602424641
c0: -12526385747084243563201924572360
c1: 1673824800948729944560742925
c2: 3142576511923806882900
c3: -321623209041424697
c4: -204001935616
c5: 276480
skew: 236375.46219
type: gnfs
# selected mechanically
rlim: 17800000
alim: 17800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23167510
Relations: 3389714 relations
Pruned matrix : 2137728 x 2137953
Polynomial selection time: 0.00 hours.
Total sieving time: 355.44 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 4.24 hours.
time per square root: 0.90 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,17800000,17800000,28,28,55,55,2.6,2.6,100000
total time: 360.76 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

3591657921999308362706460325875160323882470745039198403945619071641108491375108923288963580648202827114452275154999774682904956454003693700395104621055828980779081<163>

13365619631726277656254421212341113518919<41>
268723637284552646808692668455881003172491531060425160037034080441232115360314163888950852425526639049063511977541696341999<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1806155371
Step 1 took 23541ms
********** Factor found in step 1: 13365619631726277656254421212341113518919
Found probable prime factor of 41 digits: 13365619631726277656254421212341113518919
Probable prime cofactor 268723637284552646808692668455881003172491531060425160037034080441232115360314163888950852425526639049063511977541696341999 has 123 digits

GMP-ECM 6.3

519578121218195779164590917196535317615044884850091362761216267025807894107426802986271699250789553914407482039808319171380975967463493699731047<144>

5162426362465100542667738090179296099873521<43>
100646107999900458379931354867459142973209563154263183668555978214725646182515452555937744564258248407<102>

# Murphy_E = 1.31844783e-11, selected by Maksym Voznyy
# selected by cado-nfs-2.2.0
n: 519578121218195779164590917196535317615044884850091362761216267025807894107426802986271699250789553914407482039808319171380975967463493699731047
Y0: -7787337683214383252689876207
Y1: 14752614123057987187
c0: -9487465188987026647026084177335700
c1: -5429592320567878366644325110
c2: 20701991141922589434565
c3: -128272621548140131
c4: 262683642642
c5: 108360
skew: 800314.92031
type: gnfs

Msieve v. 1.52 (SVN 939)
random seeds: a32214c0 8d8c35e3
factoring 519578121218195779164590917196535317615044884850091362761216267025807894107426802986271699250789553914407482039808319171380975967463493699731047 (144 digits)
searching for 15-digit factors
commencing number field sieve (144-digit input)
R0: -7787337683214383252689876207
R1: 14752614123057987187
A0: -9487465188987026647026084177335700
A1: -5429592320567878366644325110
A2: 20701991141922589434565
A3: -128272621548140131
A4: 262683642642
A5: 108360
skew 800314.92, size 6.453e-014, alpha -7.033, combined = 1.318e-011 rroots = 3

commencing relation filtering
estimated available RAM is 7934.2 MB
commencing duplicate removal, pass 1
found 5577579 hash collisions in 42046822 relations
added 12 free relations
commencing duplicate removal, pass 2
found 3601635 duplicates and 38445198 unique relations
memory use: 165.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1378.0 MB
reading all ideals from disk
memory use: 1298.0 MB
keeping 41129920 ideals with weight <= 200, target excess is 207433
commencing in-memory singleton removal
begin with 38445198 relations and 41129920 unique ideals
reduce to 15499168 relations and 14371245 ideals in 21 passes
max relations containing the same ideal: 113
removing 2930546 relations and 2530546 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12568622 relations and 14371245 unique ideals
reduce to 12109492 relations and 11365754 ideals in 12 passes
max relations containing the same ideal: 95
removing 2206083 relations and 1806083 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9903409 relations and 11365754 unique ideals
reduce to 9566146 relations and 9210843 ideals in 12 passes
max relations containing the same ideal: 81
removing 784392 relations and 669712 ideals in 114680 cliques
commencing in-memory singleton removal
begin with 8781754 relations and 9210843 unique ideals
reduce to 8734396 relations and 8493213 ideals in 9 passes
max relations containing the same ideal: 74
relations with 0 large ideals: 643
relations with 1 large ideals: 2611
relations with 2 large ideals: 38379
relations with 3 large ideals: 268948
relations with 4 large ideals: 984420
relations with 5 large ideals: 2050197
relations with 6 large ideals: 2527128
relations with 7+ large ideals: 2862070
commencing 2-way merge
reduce to 5014329 relation sets and 4773146 unique ideals
commencing full merge
memory use: 563.7 MB
found 2642260 cycles, need 2609346
weight of 2609346 cycles is about 182744736 (70.03/cycle)
distribution of cycle lengths:
1 relations: 342361
2 relations: 318842
3 relations: 317068
4 relations: 287561
5 relations: 250478
6 relations: 221073
7 relations: 190257
8 relations: 159290
9 relations: 131510
10+ relations: 390906
heaviest cycle: 19 relations
commencing cycle optimization
start with 14128797 relations
pruned 262081 relations
memory use: 496.2 MB
distribution of cycle lengths:
1 relations: 342361
2 relations: 325396
3 relations: 326449
4 relations: 292561
5 relations: 254644
6 relations: 222650
7 relations: 190774
8 relations: 158449
9 relations: 130084
10+ relations: 365978
heaviest cycle: 19 relations
RelProcTime: 1300
elapsed time 00:21:42

commencing linear algebra
read 2605483 cycles
cycles contain 8511363 unique relations
read 8511363 relations
using 20 quadratic characters above 536870570
building initial matrix
memory use: 1046.6 MB
read 2605483 cycles
matrix is 2605303 x 2605483 (756.6 MB) with weight 248269238 (95.29/col)
sparse part has weight 177506496 (68.13/col)
filtering completed in 1 passes
matrix is 2605303 x 2605483 (756.6 MB) with weight 248269238 (95.29/col)
sparse part has weight 177506496 (68.13/col)
matrix starts at (0, 0)
matrix is 2605303 x 2605483 (756.6 MB) with weight 248269238 (95.29/col)
sparse part has weight 177506496 (68.13/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2605255 x 2605483 (724.4 MB) with weight 198559924 (76.21/col)
sparse part has weight 174267251 (66.88/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 608.5 MB
linear algebra at 0.1%, ETA 6h39m
checkpointing every 390000 dimensions
lanczos halted after 41200 iterations (dim = 2605255)
recovered 31 nontrivial dependencies
BLanczosTime: 23225
elapsed time 06:27:09

commencing square root phase
reading relations for dependency 1
read 1302851 cycles
cycles contain 4257020 unique relations
read 4257020 relations
multiplying 4257020 relations
multiply complete, coefficients have about 217.00 million bits
initial square root is modulo 61310261
sqrtTime: 1751
prp43 factor: 5162426362465100542667738090179296099873521
prp102 factor: 100646107999900458379931354867459142973209563154263183668555978214725646182515452555937744564258248407
elapsed time 00:29:14

636471627846552870121612115849386713059801878196829322192997450112083658986643220613568544992812922965754189161929859152865414272709074534609775780653582837933109564292738517<174>

931294436134934134502529925369254580813<39>

683426855300502685389020223505596947613902478994569737987170665150649301081159327371277448641641291945967801910005266237041721870122409<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=355955282
Step 1 took 27550ms
Step 2 took 12355ms
********** Factor found in step 2: 931294436134934134502529925369254580813
Found probable prime factor of 39 digits: 931294436134934134502529925369254580813
Composite cofactor 683426855300502685389020223505596947613902478994569737987170665150649301081159327371277448641641291945967801910005266237041721870122409 has 135 digits

GMP-ECM 6.3

683426855300502685389020223505596947613902478994569737987170665150649301081159327371277448641641291945967801910005266237041721870122409<135>

683916990314251910023882607482221483833<39>
999283341369361195002117085424141910218833966240305672271224706576049865534501212291647522892273<96>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=290615349
Step 1 took 14430ms
Step 2 took 8611ms
********** Factor found in step 2: 683916990314251910023882607482221483833
Found probable prime factor of 39 digits: 683916990314251910023882607482221483833
Probable prime cofactor 999283341369361195002117085424141910218833966240305672271224706576049865534501212291647522892273 has 96 digits

GMP-ECM 6.3

42598199914540617302103413499483937729620970780211985196222249902606447096449400906103375992663475174812789241500570584104241663663715506180887321533003995641542140140728836506179939760283219673856939<200>

1671175119887072648423044324614306634003981<43>
25489967752403549337285700955917146259689912160905148107850265258067619132909330139315341409409590594640962189850529759951011892323106392366272892635741127319<158>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=774114090
Step 1 took 12184ms
Step 2 took 6973ms
********** Factor found in step 2: 1671175119887072648423044324614306634003981
Found probable prime factor of 43 digits: 1671175119887072648423044324614306634003981
Probable prime cofactor 25489967752403549337285700955917146259689912160905148107850265258067619132909330139315341409409590594640962189850529759951011892323106392366272892635741127319 has 158 digits

GMP-ECM 6.3

280412804824023066822022776359087908242624298115371312042085766974978331617253693837829352455121121893623270287116596812576731041889678903679011534492939375593348812577768841184937<180>

5546761183522679010409627605541942050651243428152544800730277543653425819744708516727945589491848909841723956791119075110452745634696525790927317363559841181704241867827294244059126313497027501<193>

2258400379795902719540474372969<31>

2456057496777410950557016514150458846006708669503529036519184539897290036822253132091472078893120812155678392493307326317126845877416875499441404134583859909470629<163>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3143944784
Step 1 took 12464ms
Step 2 took 7129ms
********** Factor found in step 2: 2258400379795902719540474372969
Found probable prime factor of 31 digits: 2258400379795902719540474372969
Composite cofactor 2456057496777410950557016514150458846006708669503529036519184539897290036822253132091472078893120812155678392493307326317126845877416875499441404134583859909470629 has 163 digits

GMP-ECM 6.3

2456057496777410950557016514150458846006708669503529036519184539897290036822253132091472078893120812155678392493307326317126845877416875499441404134583859909470629<163>

269178950935079935343225017239650393412994271<45>
32651270156189600017366720680615726540385166195696037931<56>
279445649644862521892100853489332048695021353734279219936194929<63>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1092738438
Step 1 took 23681ms
Step 2 took 13276ms
********** Factor found in step 2: 269178950935079935343225017239650393412994271
Found probable prime factor of 45 digits: 269178950935079935343225017239650393412994271
Composite cofactor 9124255400526314559804169726624629025533683897496016428711334436560899231252973477467899325663134835601908225393851899 has 118 digits

N = 9124255400526314559804169726624629025533683897496016428711334436560899231252973477467899325663134835601908225393851899 (118 digits)
Divisors found:
r1=32651270156189600017366720680615726540385166195696037931 (pp56)
r2=279445649644862521892100853489332048695021353734279219936194929 (pp63)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 6.92 hours.
Factorization parameters were as follows:
n: 9124255400526314559804169726624629025533683897496016428711334436560899231252973477467899325663134835601908225393851899
Y0: -55115614521681410936766
Y1: 3286097885359
c0: 3729090341822003441524220749
c1: -449759471928291749993362
c2: -14770024950038861337
c3: 143306670407854
c4: 1194763796
c5: 17940
skew: 60736.82  
type: gnfs
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10354414
Relations: 952652 relations
Pruned matrix : 558542 x 558768
Polynomial selection time: 0.00 hours.
Total sieving time: 6.63 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.22 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,117,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3800000,3800000,27,27,53,53,2.5,2.5,100000
total time: 6.92 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

GMP-ECM 6.3

173899444649813940389260327274506279775417433085597328666461521087808138491484037883005733414460484163335798310264091386523179776611463322393545796540611078675693891127677<171>

33935764099138690227987114987024259829<38>
5124370977526556155770282775731456553165490506398036125303303843232646752922476130052697223775655672730694619902076276625866525323113<133>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=999125157
Step 1 took 19508ms
Step 2 took 8250ms
********** Factor found in step 2: 33935764099138690227987114987024259829
Found probable prime factor of 38 digits: 33935764099138690227987114987024259829

862975738180475374368533637038828758175305349803853520877150560555852466499289849742636567161227294553250017436551781326490488056653042433817376811847379884076172372495983384794916826594147482141<195>

19284498157874317448330346053481981973894929328914512589901<59>
44749711976720635405411619544705883075981982122905862170105960716293138263909233374867871013197845353063698402982341373064401970664916241<137>

Number: 75553_219
N = 862975738180475374368533637038828758175305349803853520877150560555852466499289849742636567161227294553250017436551781326490488056653042433817376811847379884076172372495983384794916826594147482141 (195 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=19284498157874317448330346053481981973894929328914512589901 (pp59)
r2=44749711976720635405411619544705883075981982122905862170105960716293138263909233374867871013197845353063698402982341373064401970664916241 (pp137)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 61.72 hours.
Factorization parameters were as follows:
n: 862975738180475374368533637038828758175305349803853520877150560555852466499289849742636567161227294553250017436551781326490488056653042433817376811847379884076172372495983384794916826594147482141
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 34
c0: -115
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: 7277390 relations
Pruned matrix : 6313057 x 6313282
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 32.91 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 28.26 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 61.72 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

118969465660728390114791989522216324142883714280523500332017172682375137632794684310715857521033071596250736733873913134834157379221569758497816254738323<153>

49164360064635483331368687100739152753184162352911128193951156607347<68>
2419831469469376058290654800405094128095729134301756170263319112117683265477014112609<85>

Number: 75553_220
N = 118969465660728390114791989522216324142883714280523500332017172682375137632794684310715857521033071596250736733873913134834157379221569758497816254738323 (153 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=49164360064635483331368687100739152753184162352911128193951156607347 (pp68)
r2=2419831469469376058290654800405094128095729134301756170263319112117683265477014112609 (pp85)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 76.32 hours.
Factorization parameters were as follows:
n: 118969465660728390114791989522216324142883714280523500332017172682375137632794684310715857521033071596250736733873913134834157379221569758497816254738323
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 68
c0: -23
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 25656856
Relations: 8282400 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 41.96 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 7023530 x 7023755
Matrix solve time: 33.94 hours.
time per square root: 0.19 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 76.32 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.15063-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

27083674491113398136142059508605725434772587007384009533634791025889763740432500693702629492198962224138741461876377484923377176026240185722159002067814670072277150589041356613900442898531<188>

1156232278275068686314824156506373065331471928508708402219<58>
23424077497229469242375289685195034024818874537531171449384828548430779451273213105499097870061598917399080593464724119109538734249<131>

Number: 75553_221
N = 27083674491113398136142059508605725434772587007384009533634791025889763740432500693702629492198962224138741461876377484923377176026240185722159002067814670072277150589041356613900442898531 (188 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1156232278275068686314824156506373065331471928508708402219 (pp58)
r2=23424077497229469242375289685195034024818874537531171449384828548430779451273213105499097870061598917399080593464724119109538734249 (pp131)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 67.79 hours.
Factorization parameters were as follows:
n: 27083674491113398136142059508605725434772587007384009533634791025889763740432500693702629492198962224138741461876377484923377176026240185722159002067814670072277150589041356613900442898531
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 680
c0: -23
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: 30972599
Relations: 7982594 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 21.53 hours.
Total relation processing time: 0.43 hours.
Pruned matrix : 6851940 x 6852165
Matrix solve time: 45.60 hours.
time per square root: 0.23 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 67.79 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

2729248620180006040416215641634085651782671133711553416042611713792041323935690040830767596427570624811670614341146832771404997<127>

3035181671485508672989574691544157535209759<43>
899204369155349488930534024474042642119856437779956971995311266710834044750027805083<84>

N = 2729248620180006040416215641634085651782671133711553416042611713792041323935690040830767596427570624811670614341146832771404997 (127 digits)
Divisors found:
r1=3035181671485508672989574691544157535209759 (pp43)
r2=899204369155349488930534024474042642119856437779956971995311266710834044750027805083 (pp84)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 19.08 hours.
Factorization parameters were as follows:
n: 2729248620180006040416215641634085651782671133711553416042611713792041323935690040830767596427570624811670614341146832771404997
Y0: -4303962513623944685390157
Y1: 35411310040643
c0: -5658143173518110347211448403952
c1: 163670863353390711479695020
c2: 204385946644965064400
c3: -1081242864903417
c4: -655723518
c5: 1848
skew: 522614.26 
type: gnfs
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18877599
Relations: 2289792 relations
Pruned matrix : 1257336 x 1257571
Polynomial selection time: 0.00 hours.
Total sieving time: 17.71 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.23 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,28,28,55,55,2.5,2.5,100000
total time: 19.08 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

1665257687239676449247439439781845365591529774525823383602320203535631041196736457371448045147878678434846829720373112739586194729699412906055638561304539362663272087849395857980065445116890192002007321207465614693998737<220>

519681803532177802606797211776979<33>
3204379441268173169948277829551782670536538884929168656779321721881880648491924804119603601083554617656704629709296644375885332912238690733869202092712692218411100627259193369403725368203<187>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4284076386
Step 1 took 13993ms
Step 2 took 7863ms
********** Factor found in step 2: 519681803532177802606797211776979
Found probable prime factor of 33 digits: 519681803532177802606797211776979
Probable prime cofactor 3204379441268173169948277829551782670536538884929168656779321721881880648491924804119603601083554617656704629709296644375885332912238690733869202092712692218411100627259193369403725368203 has 187 digits

GMP-ECM 6.3

6012150512931018638683329813153948643593318613255292004358366905846784462383018435477221401072709744305986820946675187017470625096396554596238232499706853560988588280332185301596588777117<187>

302565889832650971536699304769667689503201352129758961726976679479727722284506660174082706739411953604122011503498935260229676454879040551828877590323798005561838157656528016323366797883557615194047718615524941<210>

384857167648089231986789981468391621394588015127852352626489151750862123917929503301584937464700320467733668448843995753055877689494373351421167439655117719968948591781306136971446999618714080481115831327675672624351836151<222>

308403691993818669291129702940673<33>
1247900649826860433937943755283574904488666930529530545051049075417840175621881200480651487384258280243940511194498941298001722505697170222376565318087975720983694512322996410367261439031287<190>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1089544991
Step 1 took 14165ms
Step 2 took 8049ms
********** Factor found in step 2: 308403691993818669291129702940673
Found probable prime factor of 33 digits: 308403691993818669291129702940673
Probable prime cofactor 1247900649826860433937943755283574904488666930529530545051049075417840175621881200480651487384258280243940511194498941298001722505697170222376565318087975720983694512322996410367261439031287 has 190 digits

GMP-ECM 6.3

30954885702929650731265200505079108717309256549450582759593593285314992027341462513760909976985699845958777681308288554991525489240778872379098864193308390297371<161>

66931914277839300600359183437779020664210174905459683605744383008356133336098812023407624764296411101819207395659207435887677164140700836078707324949423600069032172468457235269<176>

75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<233>

503044791355423095605676658508480271421508195968934297772104646671764087193<75>
150196477240079916990570314755346219618701854745421174171046229251218021424469201619278949314688456942829462161991339321991468663665365680904325538079449296521<159>

N=75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
  ( 233 digits)
SNFS difficulty: 235 digits.
Divisors found:
 r1=503044791355423095605676658508480271421508195968934297772104646671764087193 (pp75)
 r2=150196477240079916990570314755346219618701854745421174171046229251218021424469201619278949314688456942829462161991339321991468663665365680904325538079449296521 (pp159)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 
Scaled time: 81.50 units (timescale=2.039).
Factorization parameters were as follows:
n: 75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553
m: 1000000000000000000000000000000000000000
deg: 6
c6: 17
c0: -575
skew: 1.80
# Murphy_E = 8.685e-13
type: snfs
lss: 1
rlim: 58000000
alim: 58000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
#qintsize: 400000
Factor base limits: 58000000/58000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [29000000, 60100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 7475583 x 7475809
Total sieving time: 
Total relation processing time:
Matrix solve time: 
Time per square root:
Prototype def-par.txt line would be:
snfs,235.000,6,0,0,0,0,0,0,0,0,58000000,58000000,30,30,60,60,2.7,2.7,100000
total time:

462070516602369034286489721145871850037375044470315420031877086480157980617901605331191198793443878896869927823502240777797267274481998209689014873526082805418107876035767380155327303317616243029255581919<204>

331975243348276783199649261450585216834281673372460346935795863308640166493415546050947233647858445180487183569038282721780531286613897805923106154015638353094426790688903106631419132405344132160051344240465590370448553<219>

15971337645311882479038272447172132317<38>
20785688132122266660432033602684351481967703205929183885656906524127303220329449921645582916908261738775580148912962566618627989091095609331543977367323640882943137250937472906978109<182>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3659232123
Step 1 took 14149ms
Step 2 took 7831ms
********** Factor found in step 2: 15971337645311882479038272447172132317
Found probable prime factor of 38 digits: 15971337645311882479038272447172132317
Probable prime cofactor 20785688132122266660432033602684351481967703205929183885656906524127303220329449921645582916908261738775580148912962566618627989091095609331543977367323640882943137250937472906978109 has 182 digits

GMP-ECM 6.3

75555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553<236>

6991374423869739468325974707458998405906239<43>
10806967410813538896836515881730624994425668298481660892273901594504532176140470870132725675225850210974930871615851424766661065578338274774251448077822561604569151140029792597902725947179048927<194>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1300444670
Step 1 took 180220ms
Step 2 took 52186ms
********** Factor found in step 2: 6991374423869739468325974707458998405906239
Found probable prime factor of 43 digits: 6991374423869739468325974707458998405906239