270627929735506764705342909406138225249633361382336114866985096963893402358595407361740077<90>

115102584045734902951276317262114136479513613<45>
2351189002220622291752151726621705448247668129<46>

09/26/2010 16:11:47 v1.19.2 @ PULSE, starting SIQS on c90: 270627929735506764705342909406138225249633361382336114866985096963893402358595407361740077
09/26/2010 16:11:47 v1.19.2 @ PULSE, random seeds: 0, 3887914244
09/26/2010 16:11:47 v1.19.2 @ PULSE, ==== sieve params ====
09/26/2010 16:11:47 v1.19.2 @ PULSE, n = 90 digits, 299 bits
09/26/2010 16:11:47 v1.19.2 @ PULSE, factor base: 65244 primes (max prime = 1734133)
09/26/2010 16:11:47 v1.19.2 @ PULSE, single large prime cutoff: 190754630 (110 * pmax)
09/26/2010 16:11:47 v1.19.2 @ PULSE, double large prime range from 43 to 50 bits
09/26/2010 16:11:47 v1.19.2 @ PULSE, double large prime cutoff: 803258182646442
09/26/2010 16:11:47 v1.19.2 @ PULSE, allocating 22 large prime slices of factor base
09/26/2010 16:11:47 v1.19.2 @ PULSE, buckets hold 1024 elements
09/26/2010 16:11:47 v1.19.2 @ PULSE, sieve interval: 9 blocks of size 65536
09/26/2010 16:11:47 v1.19.2 @ PULSE, polynomial A has ~ 11 factors
09/26/2010 16:11:47 v1.19.2 @ PULSE, using multiplier of 2
09/26/2010 16:11:47 v1.19.2 @ PULSE, using small prime variation correction of 21 bits
09/26/2010 16:11:47 v1.19.2 @ PULSE, using SSE2 for trial division and x128 sieve scanning
09/26/2010 16:11:47 v1.19.2 @ PULSE, trial factoring cutoff at 96 bits
09/26/2010 16:11:47 v1.19.2 @ PULSE, ==== sieving started ( 4 threads) ====
09/26/2010 16:25:58 v1.19.2 @ PULSE, trial division touched 21679113 sieve locations out of 61782285090816
09/26/2010 16:25:58 v1.19.2 @ PULSE, 65605 relations found: 19523 full + 46082 from 733938 partial, using 52373492 polys (1011 A polys)
09/26/2010 16:25:58 v1.19.2 @ PULSE, on average, sieving found 0.01 rels/poly and 885.21 rels/sec
09/26/2010 16:25:58 v1.19.2 @ PULSE, trial division touched 21679113 sieve locations out of 61782285090816
09/26/2010 16:25:58 v1.19.2 @ PULSE, ==== post processing stage (msieve-1.38) ====
09/26/2010 16:25:58 v1.19.2 @ PULSE, begin with 753461 relations
09/26/2010 16:25:59 v1.19.2 @ PULSE, reduce to 149498 relations in 10 passes
09/26/2010 16:26:01 v1.19.2 @ PULSE, failed to read relation 66409
09/26/2010 16:26:04 v1.19.2 @ PULSE, recovered 149497 relations
09/26/2010 16:26:04 v1.19.2 @ PULSE, recovered 125131 polynomials
09/26/2010 16:26:04 v1.19.2 @ PULSE, attempting to build 65604 cycles
09/26/2010 16:26:04 v1.19.2 @ PULSE, found 65604 cycles in 5 passes
09/26/2010 16:26:04 v1.19.2 @ PULSE, distribution of cycle lengths:
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 1 : 19523
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 2 : 14743
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 3 : 12227
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 4 : 8099
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 5 : 4974
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 6 : 2858
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 7 : 1622
09/26/2010 16:26:04 v1.19.2 @ PULSE,    length 9+: 1558
09/26/2010 16:26:04 v1.19.2 @ PULSE, largest cycle: 18 relations
09/26/2010 16:26:04 v1.19.2 @ PULSE, matrix is 65244 x 65604 (15.8 MB) with weight 3614339 (55.09/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, sparse part has weight 3614339 (55.09/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, filtering completed in 4 passes
09/26/2010 16:26:04 v1.19.2 @ PULSE, matrix is 59793 x 59857 (14.6 MB) with weight 3342304 (55.84/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, sparse part has weight 3342304 (55.84/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, saving the first 48 matrix rows for later
09/26/2010 16:26:04 v1.19.2 @ PULSE, matrix is 59745 x 59857 (12.6 MB) with weight 2905399 (48.54/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, sparse part has weight 2715771 (45.37/col)
09/26/2010 16:26:04 v1.19.2 @ PULSE, matrix includes 64 packed rows
09/26/2010 16:26:04 v1.19.2 @ PULSE, using block size 10922 for processor cache size 256 kB
09/26/2010 16:26:05 v1.19.2 @ PULSE, commencing Lanczos iteration
09/26/2010 16:26:05 v1.19.2 @ PULSE, memory use: 10.2 MB
09/26/2010 16:26:18 v1.19.2 @ PULSE, lanczos halted after 946 iterations (dim = 59743)
09/26/2010 16:26:18 v1.19.2 @ PULSE, recovered 16 nontrivial dependencies
09/26/2010 16:26:19 v1.19.2 @ PULSE, prp45 = 115102584045734902951276317262114136479513613
09/26/2010 16:26:19 v1.19.2 @ PULSE, prp46 = 2351189002220622291752151726621705448247668129
09/26/2010 16:26:19 v1.19.2 @ PULSE, Lanczos elapsed time = 19.6690 seconds.
09/26/2010 16:26:19 v1.19.2 @ PULSE, Sqrt elapsed time = 1.7630 seconds.
09/26/2010 16:26:19 v1.19.2 @ PULSE, SIQS elapsed time = 872.5939 seconds.

YAFU

7488974370582667689308033761594982725016576921242726256183118481285885838031296319441798459458123947<100>

1483212620004420920964054227341447007677510804177<49>
5049157665986111797195779420904023175136571830414011<52>

Number: 94447_111
N = 7488974370582667689308033761594982725016576921242726256183118481285885838031296319441798459458123947 (100 digits)
SNFS difficulty: 113 digits.
Divisors found:
r1=1483212620004420920964054227341447007677510804177 (pp49)
r2=5049157665986111797195779420904023175136571830414011 (pp52)
Version: Msieve v. 1.43
Total time: 1.01 hours.
Factorization parameters were as follows:
n: 7488974370582667689308033761594982725016576921242726256183118481285885838031296319441798459458123947
m: 10000000000000000000000
deg: 5
c5: 850
c0: 23
skew: 0.49
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [265000, 565000)
Relations: 1133052
Relations in full relation-set: 106194 relations
Pruned matrix : 65642 x 65890
Polynomial selection time: 0.00 hours.
Total sieving time: 0.93 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.04 hours.

GGNFS, Msieve

707624441688453175611079248167465813546205453702852948203011455476633388185369642402061921417311<96>

2343219888256344796619737775311188691<37>
301988065752982421901517665333699591275059886226742247322821<60>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=967824455
Step 1 took 3557ms
Step 2 took 3027ms
********** Factor found in step 2: 2343219888256344796619737775311188691
Found probable prime factor of 37 digits: 2343219888256344796619737775311188691
Probable prime cofactor 301988065752982421901517665333699591275059886226742247322821 has 60 digits

GMP-ECM 6.3

231159912152323439399389870834509632687591854069964731153362593454879119058755670541127867<90>

3102602952294312254666167838069313073<37>
74505154448262659749274493501431497874119434487428779<53>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1631979049
Step 1 took 38438ms
Step 2 took 21981ms
********** Factor found in step 2: 3102602952294312254666167838069313073
Found probable prime factor of 37 digits: 3102602952294312254666167838069313073
Probable prime cofactor 74505154448262659749274493501431497874119434487428779 has 53 digits

GMP-ECM 6.3

63330804156604311007430622703604675762108308377082781065307524088452411154511854197228318163600761765502111<107>

7062978554985711441574923272899426943<37>
8966585933055042469176596671233563485974928766988984980825477141892577<70>

Number: 94447_122
N = 63330804156604311007430622703604675762108308377082781065307524088452411154511854197228318163600761765502111 (107 digits)
SNFS difficulty: 124 digits.
Divisors found:
r1=7062978554985711441574923272899426943 (pp37)
r2=8966585933055042469176596671233563485974928766988984980825477141892577 (pp70)
Version: Msieve v. 1.47
Total time: 2.17 hours.
Factorization parameters were as follows:
n: 63330804156604311007430622703604675762108308377082781065307524088452411154511854197228318163600761765502111
m: 1000000000000000000000000
deg: 5
c5: 8500
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 810000
alim: 810000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 810000/810000
Large primes per side: 3
Large prime bits: 25/25
Sieved rational special-q in [405000, 755000)
Relations: 1526934
Relations in full relation-set: 143084 relations
Pruned matrix : 94719 x 94945
Polynomial selection time: 0.00 hours.
Total sieving time: 2.12 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
time per square root: 0.02 hours.

GGNFS, Msieve

5049972540990066743268631734493696178907426395408394565372960949786731726496599788018000779<91>

171065327398748533000105063227051763<36>
29520725314597041813002796778056083814333976000015380233<56>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4219905206
Step 1 took 10155ms
Step 2 took 6552ms
********** Factor found in step 2: 171065327398748533000105063227051763
Found probable prime factor of 36 digits: 171065327398748533000105063227051763
Probable prime cofactor 29520725314597041813002796778056083814333976000015380233 has 56 digits

GMP-ECM 6.3

46722511785148716471823333215886367799742069414666549730612228193759167513375307040101410645820185155832546973209751835074881597<128>

13964742340543734051026692452628559328654151355869834443251<59>
3345748216886149812065955679279116340837980464543570909823335975448847<70>

Number: 94447_140
N = 46722511785148716471823333215886367799742069414666549730612228193759167513375307040101410645820185155832546973209751835074881597 (128 digits)
SNFS difficulty: 142 digits.
Divisors found:
r1=13964742340543734051026692452628559328654151355869834443251 (pp59)
r2=3345748216886149812065955679279116340837980464543570909823335975448847 (pp70)
Version: Msieve v. 1.47
Total time: 7.21 hours.
Factorization parameters were as follows:
n: 46722511785148716471823333215886367799742069414666549730612228193759167513375307040101410645820185155832546973209751835074881597
m: 10000000000000000000000000000
deg: 5
c5: 85
c0: 23
skew: 0.77
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
Sieved rational special-q in [810000, 1710000)
Relations: 4041002
Relations in full relation-set: 368198 relations
Pruned matrix : 233506 x 233732
Polynomial selection time: 0.00 hours.
Total sieving time: 7.12 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.06 hours.
time per square root: 0.02 hours.

GGNFS, Msieve

94444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<143>

2200034389786845182203201456249935330397<40>
42928621881040180930883186503472665165869364724536022292095075948630713023809331035479618083015424948651<104>

Number: 143s
N=94444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
  ( 143 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=2200034389786845182203201456249935330397 (pp40)
 r2=42928621881040180930883186503472665165869364724536022292095075948630713023809331035479618083015424948651 (pp104)
Version: Msieve-1.40
Total time: 7.32 hours.
Scaled time: 14.02 units (timescale=1.916).
Factorization parameters were as follows:
n: 94444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
m: 10000000000000000000000000000
deg: 5
c5: 8500
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 1750000
alim: 1750000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1750000/1750000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [875000, 2175001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 263231 x 263459
Total sieving time: 7.06 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1750000,1750000,26,26,48,48,2.3,2.3,100000
total time: 7.32 hours.
 --------- CPU info (if available) ----------

6319702502530010832019296027112088870119923772351189194689480741117752492413770735108877434050736516446711472988010353765581490322307<133>

19236466826047164922596405492661978089277075489368257<53>
328527195751602824626775229023987845053670037327660832262594565774665237278691651<81>

Number: 144s
N=6319702502530010832019296027112088870119923772351189194689480741117752492413770735108877434050736516446711472988010353765581490322307
  ( 133 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=19236466826047164922596405492661978089277075489368257 (pp53)
 r2=328527195751602824626775229023987845053670037327660832262594565774665237278691651 (pp81)
Version: Msieve-1.40
Total time: 7.55 hours.
Scaled time: 12.95 units (timescale=1.716).
Factorization parameters were as follows:
n: 6319702502530010832019296027112088870119923772351189194689480741117752492413770735108877434050736516446711472988010353765581490322307
m: 50000000000000000000000000000
deg: 5
c5: 272
c0: 23
skew: 0.61
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2245001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 281822 x 282050
Total sieving time: 7.23 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 7.55 hours.
 --------- CPU info (if available) ----------

944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447<147>

10103363635905066752542342179956402252679346893516467534237<59>
93478219579081834741521194366847374455087421142540118610613662711805837572316408927876331<89>

Number: 147s
N=944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
  ( 147 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=10103363635905066752542342179956402252679346893516467534237 (pp59)
 r2=93478219579081834741521194366847374455087421142540118610613662711805837572316408927876331 (pp89)
Version: Msieve-1.40
Total time: 10.38 hours.
Scaled time: 20.43 units (timescale=1.969).
Factorization parameters were as follows:
n: 944444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447
m: 100000000000000000000000000000
deg: 5
c5: 850
c0: 23
skew: 0.49
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 312484 x 312709
Total sieving time: 9.96 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 10.38 hours.
 --------- CPU info (if available) ----------

2717155063050220261959241754803398694028855837055340899503731947708886876209772268528021910954347553279062459804882409386673698371307777<136>

683980923045880930546871403169383503<36>
325684738164015129349749465223202559249637639451<48>
12197561791812960780584211610738339621376489037523709<53>

Number: 94447_150
N=2717155063050220261959241754803398694028855837055340899503731947708886876209772268528021910954347553279062459804882409386673698371307777
  ( 136 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=683980923045880930546871403169383503 (pp36)
 r2=325684738164015129349749465223202559249637639451 (pp48)
 r3=12197561791812960780584211610738339621376489037523709 (pp53)
Version: Msieve-1.40
Total time: 16.17 hours.
Scaled time: 39.71 units (timescale=2.456).
Factorization parameters were as follows:
name: 94447_150
n: 2717155063050220261959241754803398694028855837055340899503731947708886876209772268528021910954347553279062459804882409386673698371307777
m: 1000000000000000000000000000000
deg: 5
c5: 85
c0: 23
skew: 0.77
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, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 394698 x 394946
Total sieving time: 15.65 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.36 hours.
Time per square root: 0.08 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: 16.17 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

3877002012067305977710237963327912926917488449578955545638285159607973607849465580576495383061932317020006890339352880087444996064184641<136>

228863443662045619220587749688190923<36>
77652973125132479994540674017526440657813721<44>
218153160710638511969247256326512189251334514266253099227<57>

Number: 94447_151
N=3877002012067305977710237963327912926917488449578955545638285159607973607849465580576495383061932317020006890339352880087444996064184641
  ( 136 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=228863443662045619220587749688190923 (pp36)
 r2=77652973125132479994540674017526440657813721 (pp44)
 r3=218153160710638511969247256326512189251334514266253099227 (pp57)
Version: Msieve-1.40
Total time: 18.27 hours.
Scaled time: 49.83 units (timescale=2.728).
Factorization parameters were as follows:
name: 94447_151
n: 3877002012067305977710237963327912926917488449578955545638285159607973607849465580576495383061932317020006890339352880087444996064184641
m: 1000000000000000000000000000000
deg: 5
c5: 850
c0: 23
skew: 0.49
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 509166 x 509413
Total sieving time: 17.45 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.55 hours.
Time per square root: 0.18 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 18.27 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

3508696952912943074733860552508085117796060846879505124881708881413758692959662266011368830420887<97>

64211439813889368035476419348510689587169<41>
54642863687258235727477969725975769941329084932331964023<56>

Number: 97g
N=3508696952912943074733860552508085117796060846879505124881708881413758692959662266011368830420887
  ( 97 digits)
Divisors found:
 r1=64211439813889368035476419348510689587169 (pp41)
 r2=54642863687258235727477969725975769941329084932331964023 (pp56)
Version: Msieve-1.40
Total time: 6.47 hours.
Scaled time: 12.59 units (timescale=1.946).
Factorization parameters were as follows:
name: 97g
n:  3508696952912943074733860552508085117796060846879505124881708881413758692959662266011368830420887
m:  13365066237462526821031
deg: 4
c4: 109966752
c3: 850314435
c2: -61106286008022784
c1: -408288540503655767710
c0: 2454121152764548593444
skew: 1635.250
type: gnfs
# adj. I(F,S) = 56.630
# E(F1,F2) = 1.841071e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1285517552.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 213290 x 213515
Polynomial selection time: 0.17 hours.
Total sieving time: 6.10 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 6.47 hours.
 --------- CPU info (if available) ----------

26509864360406507448228216383929843767113751750008544740049411438483359496079697718885045055227599475892163187994977755783329<125>

31508575024977872238160070786662301557<38>
841353959656737117970335190503879698353060884023633234026747850273173478767738146783997<87>

Number: 94447_154
N=26509864360406507448228216383929843767113751750008544740049411438483359496079697718885045055227599475892163187994977755783329
  ( 125 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=31508575024977872238160070786662301557 (pp38)
 r2=841353959656737117970335190503879698353060884023633234026747850273173478767738146783997 (pp87)
Version: Msieve-1.40
Total time: 21.96 hours.
Scaled time: 66.74 units (timescale=3.039).
Factorization parameters were as follows:
name: 94447_154
n: 26509864360406507448228216383929843767113751750008544740049411438483359496079697718885045055227599475892163187994977755783329
m: 5000000000000000000000000000000
deg: 5
c5: 272
c0: 23
skew: 0.61
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 444492 x 444740
Total sieving time: 21.36 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 21.96 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

936426844944531357122082917943017816960115729480891903621880271771426577768992119917367255893471795844797801088735068963133<123>

773971725693177467383009337711234114351<39>
1209898002547647750212506369000165129236161798824758597830340166474797928275634272083<85>

Number: 94447_156
N=936426844944531357122082917943017816960115729480891903621880271771426577768992119917367255893471795844797801088735068963133
  ( 123 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=773971725693177467383009337711234114351 (pp39)
 r2=1209898002547647750212506369000165129236161798824758597830340166474797928275634272083 (pp85)
Version: Msieve-1.40
Total time: 26.78 hours.
Scaled time: 81.75 units (timescale=3.053).
Factorization parameters were as follows:
name: 94447_156
n: 936426844944531357122082917943017816960115729480891903621880271771426577768992119917367255893471795844797801088735068963133
m: 10000000000000000000000000000000
deg: 5
c5: 850
c0: 23
skew: 0.49
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 515305 x 515553
Total sieving time: 25.99 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 26.78 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

3304634603461090001688435014043666796274435814410616532887087917459278416550039307851047086498254789419566163759208320584733399128219507702051609302817<151>

768907622018166897801928896106441011928266904480769<51>
4297830466015346320552298772445445447236335911176987442459134820451538265753577363941622067540437793<100>

Number: 94447_157
N=3304634603461090001688435014043666796274435814410616532887087917459278416550039307851047086498254789419566163759208320584733399128219507702051609302817
  ( 151 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=768907622018166897801928896106441011928266904480769 (pp51)
 r2=4297830466015346320552298772445445447236335911176987442459134820451538265753577363941622067540437793 (pp100)
Version: Msieve-1.40
Total time: 26.84 hours.
Scaled time: 83.12 units (timescale=3.097).
Factorization parameters were as follows:
name: 94447_157
n: 3304634603461090001688435014043666796274435814410616532887087917459278416550039307851047086498254789419566163759208320584733399128219507702051609302817
m: 10000000000000000000000000000000
deg: 5
c5: 8500
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 590551 x 590799
Total sieving time: 25.91 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.74 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 26.84 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

28340867625299623753556737582736880250392133184920871433039752830326151628488463123052385941124847<98>

20721010454571731760985232058058820103623<41>
1367735791043274272225847939269815478243735496968633748889<58>

Number: 98g-1
N=28340867625299623753556737582736880250392133184920871433039752830326151628488463123052385941124847
  ( 98 digits)
Divisors found:
 r1=20721010454571731760985232058058820103623 (pp41)
 r2=1367735791043274272225847939269815478243735496968633748889 (pp58)
Version: Msieve-1.40
Total time: 3.23 hours.
Scaled time: 5.95 units (timescale=1.845).
Factorization parameters were as follows:
name: 98g-1
n: 28340867625299623753556737582736880250392133184920871433039752830326151628488463123052385941124847
skew: 4746.83
# norm 5.42e+013
c5: 90720
c4: -793349898
c3: -4792653459653
c2: 908031191556179
c1: 17948162416083772113
c0: 51307880001095822783595
# alpha -6.63
Y1: 2188417517
Y0: -3154587273742180336
# Murphy_E 4.88e-009
# M 3495076758867101742311188097033696171994361096589365370175151668455046195458030852404895492303508
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, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157292 x 157517
Polynomial selection time: 0.29 hours.
Total sieving time: 2.73 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 3.23 hours.
 --------- CPU info (if available) ----------

4064866312527326804886712197079690224301056023532535976461605208226728385407403208780056683833869554295329764302726646293605702735055048478035592839809<151>

5399568556858347611055222118059332314429125598938410819680142909580443747<73>
752813168260318208346043842542847035634285935354906838978488150105962654547147<78>

Number: 94447_163
N=4064866312527326804886712197079690224301056023532535976461605208226728385407403208780056683833869554295329764302726646293605702735055048478035592839809
  ( 151 digits)
SNFS difficulty: 164 digits.
Divisors found:
 r1=5399568556858347611055222118059332314429125598938410819680142909580443747 (pp73)
 r2=752813168260318208346043842542847035634285935354906838978488150105962654547147 (pp78)
Version: Msieve-1.40
Total time: 57.32 hours.
Scaled time: 186.51 units (timescale=3.254).
Factorization parameters were as follows:
name: 94447_163
n: 4064866312527326804886712197079690224301056023532535976461605208226728385407403208780056683833869554295329764302726646293605702735055048478035592839809
m: 100000000000000000000000000000000
deg: 5
c5: 85000
c0: 23
skew: 0.19
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4650001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 828635 x 828883
Total sieving time: 55.61 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.33 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,164.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 57.32 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

2153586674236247759372916862190453197579534978044025311624969385191845387364478541169460874906654916702409595161889316348554996733604927913<139>

1885695739516959204356576911691871314527<40>
1142064771694245666253893975596756807986621752679860626694559160198247515021651178991358010935529719<100>

Number: 94447_164
N=2153586674236247759372916862190453197579534978044025311624969385191845387364478541169460874906654916702409595161889316348554996733604927913
  ( 139 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=1885695739516959204356576911691871314527 (pp40)
 r2=1142064771694245666253893975596756807986621752679860626694559160198247515021651178991358010935529719 (pp100)
Version: Msieve-1.40
Total time: 41.35 hours.
Scaled time: 139.52 units (timescale=3.374).
Factorization parameters were as follows:
name: 94447_164
n: 2153586674236247759372916862190453197579534978044025311624969385191845387364478541169460874906654916702409595161889316348554996733604927913
m: 500000000000000000000000000000000
deg: 5
c5: 272
c0: 23
skew: 0.61
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 4050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 748260 x 748508
Total sieving time: 40.16 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.05 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 41.35 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

261931766442473826335830618086701704866943083673432526373581389717793261946478270589454608568152401179151172527646667834001892598218322124573<141>

185559116550201148191568978006685215840654140933083491<54>
1411581232505010486501260108273354384023350364907850448827334698112692281057705999775103<88>

Number: 94447_165
N=261931766442473826335830618086701704866943083673432526373581389717793261946478270589454608568152401179151172527646667834001892598218322124573
  ( 141 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=185559116550201148191568978006685215840654140933083491 (pp54)
 r2=1411581232505010486501260108273354384023350364907850448827334698112692281057705999775103 (pp88)
Version: Msieve-1.40
Total time: 48.55 hours.
Scaled time: 148.23 units (timescale=3.053).
Factorization parameters were as follows:
name: 94447_165
n: 261931766442473826335830618086701704866943083673432526373581389717793261946478270589454608568152401179151172527646667834001892598218322124573
m: 1000000000000000000000000000000000
deg: 5
c5: 85
c0: 23
skew: 0.77
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 748203 x 748451
Total sieving time: 47.28 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.12 hours.
Time per square root: 0.06 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: 48.55 hours.
 --------- CPU info (if available) ----------

Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

6001782423417022639042894772558621294008139249411151919196361710575759864873570318463441397081538266510833<106>

2700612291749593793173888309164952963<37>
2222378399799388895127247567322976016259019380353117191244263154362491<70>

Divisors found:
 r1=2700612291749593793173888309164952963 (pp37)
 r2=2222378399799388895127247567322976016259019380353117191244263154362491 (pp70)
Version: Msieve v. 1.47
Total time: 3.03 hours.
Scaled time: 9.10 units (timescale=3.000).
Factorization parameters were as follows:
name: test
type: gnfs
n:  6001782423417022639042894772558621294008139249411151919196361710575759864873570318463441397081538266510833
skew:  67829.59
Y0:  -372218603044694471802
Y1:   93036830213
c0:  -157611361063368642205895177
c1:   27118482252333262094541
c2:  -647258881822490111
c3:  -16467377990019
c4:   81928846
c5:   840
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 275714 x 275944
Total sieving time: 2.93 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 3.03 hours.

4030018508692817856493991619922161509150449878191050393686782779090658072723806607384787404475881013445293709696554422868483293<127>

150530799924764248480916700919151211355324604963<48>
26772052700889341989505835825907090712634897425057060074316578094086487624774911<80>

Msieve v. 1.48
Wed Dec  1 10:19:39 2010
random seeds: 20d12e21 07fc0796
factoring 4030018508692817856493991619922161509150449878191050393686782779090658072723806607384787404475881013445293709696554422868483293 (127 digits)
searching for 15-digit factors
commencing number field sieve (127-digit input)
R0: -1000000000000000000000000000000000
R1:  1
A0:  23
A1:  0
A2:  0
A3:  0
A4:  0
A5:  85000
skew 0.19, size 3.118e-12, alpha 0.368, combined = 1.700e-10 rroots = 1

commencing relation filtering
estimated available RAM is 3960.1 MB
commencing duplicate removal, pass 1
error -5 reading relation 2674382
error -15 reading relation 5432863
error -15 reading relation 8162913
read 10M relations
error -15 reading relation 10848790
error -15 reading relation 13538422
found 1767317 hash collisions in 16135494 relations
added 380297 free relations
commencing duplicate removal, pass 2
found 1124199 duplicates and 15391592 unique relations
memory use: 82.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 344.5 MB
reading all ideals from disk
memory use: 464.4 MB
keeping 12943691 ideals with weight <= 200, target excess is 116298
commencing in-memory singleton removal
begin with 15391591 relations and 12943691 unique ideals
reduce to 10886047 relations and 7939105 ideals in 11 passes
max relations containing the same ideal: 151
removing 1587059 relations and 1187059 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9298988 relations and 7939105 unique ideals
reduce to 9170259 relations and 6617979 ideals in 6 passes
max relations containing the same ideal: 134
removing 1227771 relations and 827771 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7942488 relations and 6617979 unique ideals
reduce to 7857545 relations and 5701983 ideals in 6 passes
max relations containing the same ideal: 119
removing 1096770 relations and 696770 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 6760775 relations and 5701983 unique ideals
reduce to 6672390 relations and 4912984 ideals in 6 passes
max relations containing the same ideal: 108
removing 1031753 relations and 631753 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 5640637 relations and 4912984 unique ideals
reduce to 5536060 relations and 4170613 ideals in 6 passes
max relations containing the same ideal: 93
removing 994729 relations and 594729 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4541331 relations and 4170613 unique ideals
reduce to 4429770 relations and 3456780 ideals in 6 passes
max relations containing the same ideal: 75
removing 979297 relations and 579297 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3450473 relations and 3456780 unique ideals
reduce to 3316677 relations and 2732512 ideals in 6 passes
max relations containing the same ideal: 61
removing 974469 relations and 574469 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 2342208 relations and 2732512 unique ideals
reduce to 2170395 relations and 1967172 ideals in 8 passes
max relations containing the same ideal: 45
removing 262728 relations and 194411 ideals in 68317 cliques
commencing in-memory singleton removal
begin with 1907667 relations and 1967172 unique ideals
reduce to 1886128 relations and 1750612 ideals in 6 passes
max relations containing the same ideal: 41
relations with 0 large ideals: 2941
relations with 1 large ideals: 2263
relations with 2 large ideals: 27865
relations with 3 large ideals: 136598
relations with 4 large ideals: 346763
relations with 5 large ideals: 514984
relations with 6 large ideals: 484925
relations with 7+ large ideals: 369789
commencing 2-way merge
reduce to 1311053 relation sets and 1175537 unique ideals
commencing full merge
memory use: 144.0 MB
found 672474 cycles, need 653737
weight of 653737 cycles is about 45896837 (70.21/cycle)
distribution of cycle lengths:
1 relations: 57113
2 relations: 68159
3 relations: 76906
4 relations: 76585
5 relations: 73104
6 relations: 64793
7 relations: 55708
8 relations: 46356
9 relations: 36939
10+ relations: 98074
heaviest cycle: 18 relations
commencing cycle optimization
start with 3728402 relations
pruned 136730 relations
memory use: 115.0 MB
distribution of cycle lengths:
1 relations: 57113
2 relations: 69973
3 relations: 80422
4 relations: 80076
5 relations: 76523
6 relations: 67050
7 relations: 57520
8 relations: 46135
9 relations: 36326
10+ relations: 82599
heaviest cycle: 18 relations
RelProcTime: 551

commencing linear algebra
read 653737 cycles
cycles contain 1819383 unique relations
read 1819383 relations
using 20 quadratic characters above 134215232
building initial matrix
memory use: 237.3 MB
read 653737 cycles
matrix is 653555 x 653737 (193.8 MB) with weight 57185721 (87.48/col)
sparse part has weight 43623382 (66.73/col)
filtering completed in 2 passes
matrix is 653290 x 653472 (193.8 MB) with weight 57173613 (87.49/col)
sparse part has weight 43616891 (66.75/col)
matrix starts at (0, 0)
matrix is 653290 x 653472 (193.8 MB) with weight 57173613 (87.49/col)
sparse part has weight 43616891 (66.75/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 653242 x 653472 (183.2 MB) with weight 45291691 (69.31/col)
sparse part has weight 41491794 (63.49/col)
using block size 65536 for processor cache size 6144 kB
commencing Lanczos iteration (6 threads)
memory use: 169.2 MB
linear algebra at 0.5%, ETA 0h14m653472 dimensions (0.5%, ETA 0h14m)    
linear algebra completed 653211 of 653472 dimensions (100.0%, ETA 0h 0m)    
lanczos halted after 10334 iterations (dim = 653240)
recovered 39 nontrivial dependencies
BLanczosTime: 965

commencing square root phase
reading relations for dependency 1
read 327747 cycles
cycles contain 911224 unique relations
read 911224 relations
multiplying 911224 relations
multiply complete, coefficients have about 34.58 million bits
initial square root is modulo 92381
sqrtTime: 146
prp48 factor: 150530799924764248480916700919151211355324604963
prp80 factor: 26772052700889341989505835825907090712634897425057060074316578094086487624774911
elapsed time 00:27:43

18163682085218055751349363915332538875247963642890129019625516588474152193577668193078401995150125930944800591512060075887008990531144314749343644663331771897745137<164>

401880228391647398178688593044373158619512007859473687516627015791<66>
45196754659741221164881977703175554118195618856377924565363677712921310490823559078536651678760607<98>

Number: 4
N=18163682085218055751349363915332538875247963642890129019625516588474152193577668193078401995150125930944800591512060075887008990531144314749343644663331771897745137
  ( 164 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=401880228391647398178688593044373158619512007859473687516627015791 (pp66)
 r2=45196754659741221164881977703175554118195618856377924565363677712921310490823559078536651678760607 (pp98)
Version: Msieve-1.40
Total time: 55.95 hours.
Scaled time: 97.29 units (timescale=1.739).
Factorization parameters were as follows:
n: 18163682085218055751349363915332538875247963642890129019625516588474152193577668193078401995150125930944800591512060075887008990531144314749343644663331771897745137
m: 5000000000000000000000000000000000
deg: 5
c5: 272
c0: 23
skew: 0.61
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 960915 x 961152
Total sieving time: 53.88 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.69 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 55.95 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

82104374037365092918768251854491327822369009100979468255874712155940145328197615990463725445673135242832168604057493811224610329883<131>

158959759243373993254439832068295319094062211016059<51>
516510432754618647488625688287042265018256716743874654322601217539406948106202337<81>

Number: 94447_170
N=82104374037365092918768251854491327822369009100979468255874712155940145328197615990463725445673135242832168604057493811224610329883
  ( 131 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=158959759243373993254439832068295319094062211016059 (pp51)
 r2=516510432754618647488625688287042265018256716743874654322601217539406948106202337 (pp81)
Version: Msieve-1.40
Total time: 77.11 hours.
Scaled time: 216.82 units (timescale=2.812).
Factorization parameters were as follows:
name: 94447_170
n: 82104374037365092918768251854491327822369009100979468255874712155940145328197615990463725445673135242832168604057493811224610329883
m: 10000000000000000000000000000000000
deg: 5
c5: 85
c0: 23
skew: 0.77
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 956987 x 957235
Total sieving time: 74.87 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.00 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 77.11 hours.
 --------- CPU info (if available) ----------

26839425914179425249770693460907708862981181501269371100302866155231055768374535923950901196685830642257475336967535547953806343108830098118011205626517104877391<161>

2528051271833280477952215336196971444902415368148508155378075757<64>
10616646194329806863600585566237388429340192075068045911746815159959472141523922012797072879397163<98>

Number: 94447_171
N=26839425914179425249770693460907708862981181501269371100302866155231055768374535923950901196685830642257475336967535547953806343108830098118011205626517104877391
  ( 161 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=2528051271833280477952215336196971444902415368148508155378075757
 r2=10616646194329806863600585566237388429340192075068045911746815159959472141523922012797072879397163
Version: 
Total time: 113.42 hours.
Scaled time: 228.44 units (timescale=2.014).
Factorization parameters were as follows:
n: 26839425914179425249770693460907708862981181501269371100302866155231055768374535923950901196685830642257475336967535547953806343108830098118011205626517104877391
m: 10000000000000000000000000000000000
deg: 5
c5: 850
c0: 23
skew: 0.49
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 6250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 893310 x 893558
Total sieving time: 113.42 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,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 113.42 hours.
 --------- CPU info (if available) ----------

103229253956109350141484801010432226958623286090768875772701327406759694441408289916323581204989009120608202475073171324127712804070875991304453431461847682199633232533003<171>

22795775738623915508545469575884321341952616520006357539346226329<65>
4528437862336193664202152873164843600444125460399380989145244351896578981896703511746923812234560517450307<106>

Number: 2
N=103229253956109350141484801010432226958623286090768875772701327406759694441408289916323581204989009120608202475073171324127712804070875991304453431461847682199633232533003
  ( 171 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=22795775738623915508545469575884321341952616520006357539346226329 (pp65)
 r2=4528437862336193664202152873164843600444125460399380989145244351896578981896703511746923812234560517450307 (pp106)
Version: Msieve-1.40
Total time: 108.52 hours.
Scaled time: 188.72 units (timescale=1.739).
Factorization parameters were as follows:
n: 103229253956109350141484801010432226958623286090768875772701327406759694441408289916323581204989009120608202475073171324127712804070875991304453431461847682199633232533003
m: 10000000000000000000000000000000000
deg: 5
c5: 85000
c0: 23
skew: 0.19
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 8700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1231087 x 1231320
Total sieving time: 105.98 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.11 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 108.52 hours.

GGNFS, Msieve

28418149172097423907490099008431306895969484790427473021024352980452326876883306399156837800631505448520427436904134045554619029701451329801153698115140751<155>

34025331795845588556546272290213541113424769989<47>
835205644506520632802914631908042217829106683304965449034286992939534692140440264271256956995875374231662659<108>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3120559151
Step 1 took 16694ms
Step 2 took 6318ms
********** Factor found in step 2: 34025331795845588556546272290213541113424769989
Found probable prime factor of 47 digits: 34025331795845588556546272290213541113424769989
Probable prime cofactor 835205644506520632802914631908042217829106683304965449034286992939534692140440264271256956995875374231662659 has 108 digits

GMP-ECM 6.2.3

4357704082017818523285134186364990841508970658500356261108933187229741221835374724580134847280528765923194608126820013869143334667890796128994237459<148>

48887090015168882365813698319047121<35>
89138136073668787053509583615877549204533460883413411182276828975630495931900436258408610244984174900904410786979<113>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3928709886
Step 1 took 17542ms
Step 2 took 7749ms
********** Factor found in step 2: 48887090015168882365813698319047121
Found probable prime factor of 35 digits: 48887090015168882365813698319047121
Probable prime cofactor 89138136073668787053509583615877549204533460883413411182276828975630495931900436258408610244984174900904410786979 has 113 digits

GMP-ECM 6.3

388609406647919897498299014080552464389850738680616100310862034015227510125098316718883072231417185632841124096038621117106784904973405311183129252900833167740093<162>

82604596296704204105681754750672903726925272829883083740359219239<65>
4704452585811194298102639605704293506691411404334776034011503409007617813816846016568507870641787<97>

Number: 94447_180
N=388609406647919897498299014080552464389850738680616100310862034015227510125098316718883072231417185632841124096038621117106784904973405311183129252900833167740093
  ( 162 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=82604596296704204105681754750672903726925272829883083740359219239
 r2=4704452585811194298102639605704293506691411404334776034011503409007617813816846016568507870641787
Version: 
Total time: 53.11 hours.
Scaled time: 274.25 units (timescale=5.164).
Factorization parameters were as follows:
n: 388609406647919897498299014080552464389850738680616100310862034015227510125098316718883072231417185632841124096038621117106784904973405311183129252900833167740093
m: 1000000000000000000000000000000000000
deg: 5
c5: 85
c0: 23
skew: 0.77
# Murphy_E = 9.175e-11
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2800000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17821028
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1368397 x 1368644
Total sieving time: 49.31 hours.
Total relation processing time: 1.14 hours.
Matrix solve time: 2.08 hours.
Time per square root: 0.58 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,5600000,5600000,28,28,53,53,2.5,2.5,100000
total time: 53.11 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49370224k/51380224k available (5223k kernel code, 1085960k absent, 924040k reserved, 7119k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.85 BogoMIPS (lpj=3399928)
Total of 12 processors activated (81598.27 BogoMIPS).

GGNFS / Msieve v1.39

Core i7 4930K

893958603431816609964076665811161955490470657538021218657920610680429042836366236029674939854835890998801676152230556018786498823852267791087882200485921673986764131161780039<174>

276359532018100298868126489480024225688079503546922031638303840291221<69>
3234766671168289452911926280273510177178048555629576725389626967159605537498923786006762485028630594238059<106>

Number: n
N=893958603431816609964076665811161955490470657538021218657920610680429042836366236029674939854835890998801676152230556018786498823852267791087882200485921673986764131161780039
  ( 174 digits)
SNFS difficulty: 183 digits.
Divisors found:

Mon Jan 23 02:19:29 2012  prp69 factor: 276359532018100298868126489480024225688079503546922031638303840291221
Mon Jan 23 02:19:29 2012  prp106 factor: 3234766671168289452911926280273510177178048555629576725389626967159605537498923786006762485028630594238059
Mon Jan 23 02:19:29 2012  elapsed time 02:24:10 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.657).
Factorization parameters were as follows:
name: KA_94447_182
n: 893958603431816609964076665811161955490470657538021218657920610680429042836366236029674939854835890998801676152230556018786498823852267791087882200485921673986764131161780039
m: 1000000000000000000000000000000000000
deg: 5
c5: 8500
c0: 23
skew: 0.31
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8240177 hash collisions in 76000086 relations
Msieve: matrix is 1088422 x 1088670 (305.0 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,183,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

2332009822120492642826459591264156030695665235155242045309839797811537853020208055731767966204779239793955828162280527018449346813509651747246345831941973828449453<163>

2732710673902058192890944329067192825881<40>
853368724465293729749211008768943638822041554514728833664913896819468709988666075731262001373866813959523581319087280473013<123>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3316825643
Step 1 took 19534ms
Step 2 took 8022ms
********** Factor found in step 2: 2732710673902058192890944329067192825881
Found probable prime factor of 40 digits: 2732710673902058192890944329067192825881

2904157471818797711854346163912322466212905458192134532700892791071231292864934890525452443446232007863888853822550334427<121>

1509099508460094827572160582030685367<37>

1924430732061027937206219507936838033237990771401908276471553804915012161034849949181<85>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1356737817
Step 1 took 15693ms
Step 2 took 515ms
********** Factor found in step 2: 1509099508460094827572160582030685367
Found probable prime factor of 37 digits: 1509099508460094827572160582030685367
Composite cofactor 1924430732061027937206219507936838033237990771401908276471553804915012161034849949181 has 85 digits

GMP-ECM 6.3

1924430732061027937206219507936838033237990771401908276471553804915012161034849949181<85>

6592001814892760593667123423993397542699<40>
291934193299722989652112077884271045624032119<45>

09/27/10 15:40:52 v1.15 @ IGNACIO-PC, starting SIQS on c85: 1924430732061027937206219507936838033237990771401908276471553804915012161034849949181
09/27/10 15:40:52 v1.15 @ IGNACIO-PC, random seeds: 0, 2231290912
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, ==== sieve params ====
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, n = 85 digits, 283 bits
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, factor base: 54371 primes (max prime = 1418491)
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, single large prime cutoff: 134756645 (95 * pmax)
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, double large prime range from 42 to 49 bits
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, double large prime cutoff: 429724724547749
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, allocating 12 large prime slices of factor base
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, buckets hold 1024 elements
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, sieve interval: 14 blocks of size 32768
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, polynomial A has ~ 11 factors
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, using multiplier of 5
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, using small prime variation correction of 19 bits
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, using SSE2 for trial division and x128 sieve scanning
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, trial factoring cutoff at 93 bits
09/27/10 15:40:53 v1.15 @ IGNACIO-PC, ==== sieving started ( 4 threads) ====
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, trial division touched 11136283 sieve locations out of 10640422338560
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, 54930 relations found: 18375 full + 36555 from 505366 partial, using 11597140 polys (435 A polys)
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, on average, sieving found 0.05 rels/poly and 1313.91 rels/sec
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, trial division touched 11136283 sieve locations out of 10640422338560
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, ==== post processing stage (msieve-1.38) ====
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, begin with 523741 relations
09/27/10 15:47:31 v1.15 @ IGNACIO-PC, reduce to 113795 relations in 9 passes
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, recovered 113795 relations
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, recovered 88081 polynomials
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, attempting to build 54930 cycles
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, found 54930 cycles in 4 passes
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, distribution of cycle lengths:
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 1 : 18375
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 2 : 14588
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 3 : 10175
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 4 : 5797
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 5 : 3154
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 6 : 1549
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 7 : 738
09/27/10 15:47:34 v1.15 @ IGNACIO-PC,    length 9+: 554
09/27/10 15:47:34 v1.15 @ IGNACIO-PC, largest cycle: 16 relations
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, matrix is 54371 x 54930 (11.6 MB) with weight 2611054 (47.53/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, sparse part has weight 2611054 (47.53/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, filtering completed in 4 passes
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, matrix is 47545 x 47609 (10.2 MB) with weight 2296187 (48.23/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, sparse part has weight 2296187 (48.23/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, saving the first 48 matrix rows for later
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, matrix is 47497 x 47609 (8.5 MB) with weight 1966963 (41.31/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, sparse part has weight 1763704 (37.05/col)
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, matrix includes 64 packed rows
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, using block size 19043 for processor cache size 4096 kB
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, commencing Lanczos iteration
09/27/10 15:47:35 v1.15 @ IGNACIO-PC, memory use: 7.1 MB
09/27/10 15:47:46 v1.15 @ IGNACIO-PC, lanczos halted after 752 iterations (dim = 47497)
09/27/10 15:47:46 v1.15 @ IGNACIO-PC, recovered 18 nontrivial dependencies
09/27/10 15:47:47 v1.15 @ IGNACIO-PC, prp45 = 291934193299722989652112077884271045624032119
09/27/10 15:47:48 v1.15 @ IGNACIO-PC, prp40 = 6592001814892760593667123423993397542699
09/27/10 15:47:48 v1.15 @ IGNACIO-PC, Lanczos elapsed time = 15.0920 seconds.
09/27/10 15:47:48 v1.15 @ IGNACIO-PC, Sqrt elapsed time = 2.0470 seconds.
09/27/10 15:47:48 v1.15 @ IGNACIO-PC, SIQS elapsed time = 415.7538 seconds.

Yafu 1.15

4236078897509983022985781427094563909395340880796231047971380763180383315842070965490745156228561223599240677708310330876194115978395089026695834238402680697240783401<166>

597587329599251248031005534547304229874761383173365399376258133970761923<72>
7088635731869925933161056026846393036753672801433005199083838012566639925407328857010985050787<94>

4236078897509983022985781427094563909395340880796231047971380763180383315842070965490745156228561223599240677708310330876194115978395089026695834238402680697240783401=597587329599251248031005534547304229874761383173365399376258133970761923*7088635731869925933161056026846393036753672801433005199083838012566639925407328857010985050787

n: 4236078897509983022985781427094563909395340880796231047971380763180383315842070965490745156228561223599240677708310330876194115978395089026695834238402680697240783401
skew: 0.97
type: snfs
c0: 115
c5: 136
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 136*x^5+115
# g(x) = -x+50000000000000000000000000000000000000

Info:Square Root: Factors: 7088635731869925933161056026846393036753672801433005199083838012566639925407328857010985050787 597587329599251248031005534547304229874761383173365399376258133970761923
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.6/2.06438
Info:Generate Free Relations: Total cpu/real time for freerel: 102.39/26.4376
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27128964
Info:Lattice Sieving: Average J: 1893.84 for 3055559 special-q, max bucket fill -bkmult 1.0,1s:1.079390
Info:Lattice Sieving: Total time: 620716s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 55.05/63.5618
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 63.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 428.34/268.182
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 231.39999999999998s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 336.69/201.095
Info:Filtering - Merging: Total cpu/real time for merge: 334.96/96.5999
Info:Filtering - Merging: Total cpu/real time for replay: 90.62/78.6711
Info:Linear Algebra: Total cpu/real time for bwc: 94772.9/24379.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15615.95, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (72704 iterations)
Info:Linear Algebra: Lingen CPU time 463.75, WCT time 134.82
Info:Linear Algebra: Mksol: WCT time 8396.38, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (36352 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 82.87/35.6293
Info:Square Root: Total cpu/real time for sqrt: 1194.63/362.268
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.27216e+06/207256
Info:root: Cleaning up computation data in /tmp/cado.a7wswkoy
7088635731869925933161056026846393036753672801433005199083838012566639925407328857010985050787 597587329599251248031005534547304229874761383173365399376258133970761923

cado-nfs-3.0.0

Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

68147355638203932309620492311457428432198642677229931597674072016884650439088820291596386139336326185464550334670161155194549237257996123445492907651544260710718521957<167>

9855638625998463931618406884049<31>

6914555030298708675377858744525901837449702567945144038378726030669476027607523227442255908895224284440328637131422259049671425884324693<136>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1661638847
Step 1 took 7820ms
Step 2 took 3937ms
********** Factor found in step 2: 9855638625998463931618406884049
Found probable prime factor of 31 digits: 9855638625998463931618406884049
Composite cofactor has 136 digits

6914555030298708675377858744525901837449702567945144038378726030669476027607523227442255908895224284440328637131422259049671425884324693<136>

6814349254269481688061073504691461056463919950162345612169032723<64>
1014705113032831972400334617146382921218190693814576237614282266891110391<73>

Number: n
N=6914555030298708675377858744525901837449702567945144038378726030669476027607523227442255908895224284440328637131422259049671425884324693
  ( 136 digits)
Divisors found:

Thu May 17 21:33:00 2012  prp64 factor: 6814349254269481688061073504691461056463919950162345612169032723
Thu May 17 21:33:00 2012  prp73 factor: 1014705113032831972400334617146382921218190693814576237614282266891110391
Thu May 17 21:33:00 2012  elapsed time 02:29:55 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_94447_189
n: 6914555030298708675377858744525901837449702567945144038378726030669476027607523227442255908895224284440328637131422259049671425884324693
skew: 366537.37
# norm 7.59e+18
c5: 58140
c4: 208052464269
c3: -79245329504156904
c2: -18540176661507684186316
c1: 2344866691181512781232659236
c0: 374545036742157890712456222145920
# alpha -6.02
Y1: 389371322802253
Y0: -164080550479351455382647647
# Murphy_E 3.31e-11
# M 3084733068282663413623411395192365126430678088670664915405649149326527551631254980578656229448527974900268487329938703272792948021112239
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, 24060000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2604786 hash collisions in 13160521 relations (10664818 unique)
Msieve: matrix is 1199643 x 1199869 (346.7 MB)

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

1467027422122152162267453432717251281613312252283792212522567069868605612872279326198435431386515423100667613643646634541681711075525661772653966089016549024832018079<166>

178970993576898374335177696407972107690121947757742625741<57>
8197012224172601734051396374982731257762747206745401498025933269115367970985009895129894823769434938106069019<109>

p57 factor: 178970993576898374335177696407972107690121947757742625741
p109 factor: 8197012224172601734051396374982731257762747206745401498025933269115367970985009895129894823769434938106069019


Msieve v. 1.54 (SVN 1034)
random seeds: 1d9b705e 0cae176e
factoring 1467027422122152162267453432717251281613312252283792212522567069868605612872279326198435431386515423100667613643646634541681711075525661772653966089016549024832018079 (166 digits)
searching for 15-digit factors
commencing number field sieve (166-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 8500
skew 1.00, size 1.047e-13, alpha -0.152, combined = 2.060e-11 rroots = 1

commencing relation filtering
estimated available RAM is 15892.2 MB
commencing duplicate removal, pass 1
found 1223520 hash collisions in 37098114 relations
added 727938 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 37826052 unique relations
memory use: 97.3 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1244.2 MB
keeping 40332715 ideals with weight <= 200, target excess is 200023
commencing in-memory singleton removal
begin with 37826052 relations and 40332715 unique ideals
reduce to 14610290 relations and 13160689 ideals in 13 passes
max relations containing the same ideal: 106
removing 2097348 relations and 1697348 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 12512942 relations and 13160689 unique ideals
reduce to 12258452 relations and 11199935 ideals in 9 passes
max relations containing the same ideal: 96
removing 1684716 relations and 1284716 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10573736 relations and 11199935 unique ideals
reduce to 10377447 relations and 9712350 ideals in 8 passes
max relations containing the same ideal: 86
removing 1592564 relations and 1192564 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 8784883 relations and 9712350 unique ideals
reduce to 8569031 relations and 8296015 ideals in 8 passes
max relations containing the same ideal: 76
removing 267654 relations and 226665 ideals in 40989 cliques
commencing in-memory singleton removal
begin with 8301377 relations and 8296015 unique ideals
reduce to 8294893 relations and 8062827 ideals in 6 passes
max relations containing the same ideal: 75
relations with 0 large ideals: 4148
relations with 1 large ideals: 9447
relations with 2 large ideals: 81773
relations with 3 large ideals: 389929
relations with 4 large ideals: 1119494
relations with 5 large ideals: 1994122
relations with 6 large ideals: 2317365
relations with 7+ large ideals: 2378615
commencing 2-way merge
reduce to 5142359 relation sets and 4910293 unique ideals
commencing full merge
memory use: 578.9 MB
found 2406114 cycles, need 2380493
weight of 2380493 cycles is about 214388559 (90.06/cycle)
distribution of cycle lengths:
1 relations: 200433
2 relations: 201529
3 relations: 209575
4 relations: 205301
5 relations: 199503
6 relations: 184803
7 relations: 172768
8 relations: 156481
9 relations: 140855
10+ relations: 709245
heaviest cycle: 27 relations
commencing cycle optimization
start with 17551888 relations
pruned 592753 relations
memory use: 518.7 MB
distribution of cycle lengths:
1 relations: 200433
2 relations: 206479
3 relations: 217423
4 relations: 212407
5 relations: 206950
6 relations: 190375
7 relations: 178330
8 relations: 160659
9 relations: 143519
10+ relations: 663918
heaviest cycle: 27 relations
RelProcTime: 997
elapsed time 00:16:38


Msieve v. 1.54 (SVN 1034)
random seeds: f45ef14b 4fd51668
factoring 1467027422122152162267453432717251281613312252283792212522567069868605612872279326198435431386515423100667613643646634541681711075525661772653966089016549024832018079 (166 digits)
searching for 15-digit factors
commencing number field sieve (166-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 8500
skew 1.00, size 1.047e-13, alpha -0.152, combined = 2.060e-11 rroots = 1

commencing linear algebra
read 2380493 cycles
cycles contain 8143669 unique relations
read 8143669 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 997.6 MB
read 2380493 cycles
matrix is 2380314 x 2380493 (874.3 MB) with weight 257870762 (108.33/col)
sparse part has weight 203009069 (85.28/col)
filtering completed in 2 passes
matrix is 2379649 x 2379828 (874.2 MB) with weight 257845845 (108.35/col)
sparse part has weight 203000089 (85.30/col)
matrix starts at (0, 0)
matrix is 2379649 x 2379828 (874.2 MB) with weight 257845845 (108.35/col)
sparse part has weight 203000089 (85.30/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2379601 x 2379828 (835.6 MB) with weight 213366652 (89.66/col)
sparse part has weight 195239461 (82.04/col)
using block size 8192 and superblock size 786432 for processor cache size 8192 kB
commencing Lanczos iteration (8 threads)
memory use: 792.3 MB
linear algebra at 0.1%, ETA 2h36m
checkpointing every 920000 dimensions
lanczos halted after 37632 iterations (dim = 2379601)
recovered 39 nontrivial dependencies
BLanczosTime: 9894
elapsed time 02:44:55


Msieve v. 1.54 (SVN 1034)
random seeds: 44c95817 da0df543
factoring 1467027422122152162267453432717251281613312252283792212522567069868605612872279326198435431386515423100667613643646634541681711075525661772653966089016549024832018079 (166 digits)
searching for 15-digit factors
commencing number field sieve (166-digit input)
R0: -100000000000000000000000000000000000000
R1: 1
A0: 23
A1: 0
A2: 0
A3: 0
A4: 0
A5: 8500
skew 1.00, size 1.047e-13, alpha -0.152, combined = 2.060e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1190792 cycles
cycles contain 4073510 unique relations
read 4073510 relations
multiplying 4073510 relations
multiply complete, coefficients have about 140.66 million bits
initial square root is modulo 111721
GCD is N, no factor found
reading relations for dependency 2
read 1190281 cycles
cycles contain 4073464 unique relations
read 4073464 relations
multiplying 4073464 relations
multiply complete, coefficients have about 140.66 million bits
initial square root is modulo 111721
sqrtTime: 566
p57 factor: 178970993576898374335177696407972107690121947757742625741
p109 factor: 8197012224172601734051396374982731257762747206745401498025933269115367970985009895129894823769434938106069019
elapsed time 00:09:27

CADO-NFS/Msieve

113963746217202519376892223851074424191706009070053618712391660506025320327289528277338179451037946014442385487645972831998328804142547249108226379968363131819378673800100415866437<180>

854226660879330747828447257035851800805373381532387026542327199963324906819628813<81>
133411600733568297593115848279091023884822105711715400133944380557888412115177623068338722516084249<99>

N=113963746217202519376892223851074424191706009070053618712391660506025320327289528277338179451037946014442385487645972831998328804142547249108226379968363131819378673800100415866437
  ( 180 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=854226660879330747828447257035851800805373381532387026542327199963324906819628813 (pp81)
 r2=133411600733568297593115848279091023884822105711715400133944380557888412115177623068338722516084249 (pp99)
Version: Msieve v. 1.49
Total time:
Scaled time: 74.60 units (timescale=0.673).
Factorization parameters were as follows:
n: 113963746217202519376892223851074424191706009070053618712391660506025320327289528277338179451037946014442385487645972831998328804142547249108226379968363131819378673800100415866437
m: 500000000000000000000000000000000000000
deg: 5
c5: 272
c0: 23
skew: 0.61
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6450000, 14450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2416511 x 2416718
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12900000,12900000,28,28,55,55,2.5,2.5,100000
total time:

1051061950319790421586110654426354209904793643761115409570452499121900343446043250020559321595732112785998797639897361776842694079507<133>

2922513423981975715857403255919155588727147417657843281<55>
359643155680599102019398604125046612261975369964685813868328399714778220781347<78>

Number: 94447_195
N=1051061950319790421586110654426354209904793643761115409570452499121900343446043250020559321595732112785998797639897361776842694079507
  ( 133 digits)
Divisors found:
 r1=2922513423981975715857403255919155588727147417657843281 (pp55)
 r2=359643155680599102019398604125046612261975369964685813868328399714778220781347 (pp78)
Version: Msieve v. 1.42
Total time: 12.73 hours.
Scaled time: 10.86 units (timescale=0.853).
Factorization parameters were as follows:
name: 94447_195
# Murphy_E = 6.09e-11, selected by Erik Branger
n: 1051061950319790421586110654426354209904793643761115409570452499121900343446043250020559321595732112785998797639897361776842694079507
Y0: -93897000817208635432787668
Y1: 153325846520389
c0: 23851621712437780070509673389879995
c1: 327704340688922394786744930327
c2: -72323881572312910749347
c3: -23210704385194471
c4: 1465967752
c5: 144
skew: 6446786.16
type: gnfs
# selected mechanically
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved algebraic special-q in [5550000, 11350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1649967 x 1650196
Total sieving time: 0.00 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 12.16 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,11100000,11100000,28,28,54,54,2.6,2.6,100000
total time: 12.73 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.. 5827.08 BogoMIPS (lpj=2913541)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.61 BogoMIPS).

Total time: 4.5 days.

3159857259571688261714017150363783016420784719373435085601419122865823096904682872109<85>

300297741436159051690587996879938101<36>
10522414336051372439083390978326256416612842909209<50>

09/26/2010 16:26:35 v1.19.2 @ PULSE, starting SIQS on c85: 3159857259571688261714017150363783016420784719373435085601419122865823096904682872109
09/26/2010 16:26:35 v1.19.2 @ PULSE, random seeds: 0, 3887914244
09/26/2010 16:26:35 v1.19.2 @ PULSE, ==== sieve params ====
09/26/2010 16:26:35 v1.19.2 @ PULSE, n = 85 digits, 281 bits
09/26/2010 16:26:35 v1.19.2 @ PULSE, factor base: 55137 primes (max prime = 1450429)
09/26/2010 16:26:35 v1.19.2 @ PULSE, single large prime cutoff: 137790755 (95 * pmax)
09/26/2010 16:26:35 v1.19.2 @ PULSE, double large prime range from 42 to 49 bits
09/26/2010 16:26:35 v1.19.2 @ PULSE, double large prime cutoff: 447297162957993
09/26/2010 16:26:35 v1.19.2 @ PULSE, allocating 22 large prime slices of factor base
09/26/2010 16:26:35 v1.19.2 @ PULSE, buckets hold 1024 elements
09/26/2010 16:26:35 v1.19.2 @ PULSE, sieve interval: 7 blocks of size 65536
09/26/2010 16:26:35 v1.19.2 @ PULSE, polynomial A has ~ 11 factors
09/26/2010 16:26:35 v1.19.2 @ PULSE, using multiplier of 1
09/26/2010 16:26:35 v1.19.2 @ PULSE, using small prime variation correction of 20 bits
09/26/2010 16:26:35 v1.19.2 @ PULSE, using SSE2 for trial division and x128 sieve scanning
09/26/2010 16:26:35 v1.19.2 @ PULSE, trial factoring cutoff at 91 bits
09/26/2010 16:26:35 v1.19.2 @ PULSE, ==== sieving started ( 4 threads) ====
09/26/2010 16:31:13 v1.19.2 @ PULSE, trial division touched 11576135 sieve locations out of 12837426036736
09/26/2010 16:31:13 v1.19.2 @ PULSE, 55914 relations found: 17981 full + 37933 from 565937 partial, using 13991684 polys (659 A polys)
09/26/2010 16:31:13 v1.19.2 @ PULSE, on average, sieving found 0.04 rels/poly and 2097.84 rels/sec
09/26/2010 16:31:13 v1.19.2 @ PULSE, trial division touched 11576135 sieve locations out of 12837426036736
09/26/2010 16:31:13 v1.19.2 @ PULSE, ==== post processing stage (msieve-1.38) ====
09/26/2010 16:31:13 v1.19.2 @ PULSE, begin with 583918 relations
09/26/2010 16:31:13 v1.19.2 @ PULSE, reduce to 120479 relations in 9 passes
09/26/2010 16:31:16 v1.19.2 @ PULSE, recovered 120479 relations
09/26/2010 16:31:16 v1.19.2 @ PULSE, recovered 86226 polynomials
09/26/2010 16:31:16 v1.19.2 @ PULSE, attempting to build 55914 cycles
09/26/2010 16:31:16 v1.19.2 @ PULSE, found 55914 cycles in 4 passes
09/26/2010 16:31:16 v1.19.2 @ PULSE, distribution of cycle lengths:
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 1 : 17981
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 2 : 13687
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 3 : 10434
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 4 : 6472
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 5 : 3693
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 6 : 1854
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 7 : 987
09/26/2010 16:31:16 v1.19.2 @ PULSE,    length 9+: 806
09/26/2010 16:31:16 v1.19.2 @ PULSE, largest cycle: 15 relations
09/26/2010 16:31:16 v1.19.2 @ PULSE, matrix is 55137 x 55914 (11.9 MB) with weight 2666857 (47.70/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, sparse part has weight 2666857 (47.70/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, filtering completed in 4 passes
09/26/2010 16:31:16 v1.19.2 @ PULSE, matrix is 48465 x 48529 (10.4 MB) with weight 2330837 (48.03/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, sparse part has weight 2330837 (48.03/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, saving the first 48 matrix rows for later
09/26/2010 16:31:16 v1.19.2 @ PULSE, matrix is 48417 x 48529 (9.1 MB) with weight 2031866 (41.87/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, sparse part has weight 1912575 (39.41/col)
09/26/2010 16:31:16 v1.19.2 @ PULSE, matrix includes 64 packed rows
09/26/2010 16:31:16 v1.19.2 @ PULSE, using block size 10922 for processor cache size 256 kB
09/26/2010 16:31:17 v1.19.2 @ PULSE, commencing Lanczos iteration
09/26/2010 16:31:17 v1.19.2 @ PULSE, memory use: 7.5 MB
09/26/2010 16:31:24 v1.19.2 @ PULSE, lanczos halted after 767 iterations (dim = 48409)
09/26/2010 16:31:24 v1.19.2 @ PULSE, recovered 12 nontrivial dependencies
09/26/2010 16:31:24 v1.19.2 @ PULSE, prp36 = 300297741436159051690587996879938101
09/26/2010 16:31:24 v1.19.2 @ PULSE, prp50 = 10522414336051372439083390978326256416612842909209
09/26/2010 16:31:24 v1.19.2 @ PULSE, Lanczos elapsed time = 11.3290 seconds.
09/26/2010 16:31:24 v1.19.2 @ PULSE, Sqrt elapsed time = 0.2140 seconds.
09/26/2010 16:31:24 v1.19.2 @ PULSE, SIQS elapsed time = 289.8846 seconds.

Yafu

1647536652666774979090324428263432735874259555907503079572714056377339334624050383057419995462759233631754248062747242779875699430075462404591394813626464773312520588237583<172>

36375472497601448005954940636588867<35>
45292515520600081071320147187373481731055469552145971563533641573737354736268258314379140228528359044145697763194186454123626820740769349<137>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2701410666
Step 1 took 7690ms
Step 2 took 3926ms
********** Factor found in step 2: 36375472497601448005954940636588867
Found probable prime factor of 35 digits: 36375472497601448005954940636588867
Probable prime cofactor has 137 digits

21781694847342792165595494900049974512368675197927807918911360586775277579229230092426704188126829579735437762822879490116272577682718434260219236053536438386281656059054999<173>

192403546784579738058186416990526750948029160372584805940285735073<66>
113208385247337317381090922933120193027757534685509829788840928424632821012605553693999903880733958452119863<108>

21781694847342792165595494900049974512368675197927807918911360586775277579229230092426704188126829579735437762822879490116272577682718434260219236053536438386281656059054999=192403546784579738058186416990526750948029160372584805940285735073 113208385247337317381090922933120193027757534685509829788840928424632821012605553693999903880733958452119863

cado polynomial
n: 21781694847342792165595494900049974512368675197927807918911360586775277579229230092426704188126829579735437762822879490116272577682718434260219236053536438386281656059054999
skew: 0.61
type: snfs
c0: 23
c5: 272
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 272*x^5+23
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15600000
tasks.lim1 = 15600000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 192403546784579738058186416990526750948029160372584805940285735073 113208385247337317381090922933120193027757534685509829788840928424632821012605553693999903880733958452119863
Info:Square Root: Total cpu/real time for sqrt: 1047.63/332.517
Info:Square Root: Total cpu/real time for sqrt: 1047.63/332.517
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 206.39/243.984
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 243.29999999999998s
Info:Generate Factor Base: Total cpu/real time for makefb: 6.63/2.99928
Info:Filtering - Singleton removal: Total cpu/real time for purge: 635.08/747.728
Info:Filtering - Merging: Merged matrix has 3570186 rows and total weight 609992519 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1027.77/283.276
Info:Filtering - Merging: Total cpu/real time for replay: 143.63/127.039
Info:Linear Algebra: Total cpu/real time for bwc: 236912/60662.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 152536.3, WCT time 38911.43, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (111616 iterations)
Info:Linear Algebra: Lingen CPU time 775.25, WCT time 196.7
Info:Linear Algebra: Mksol: CPU time 82167.01,  WCT time 20997.72, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (55808 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 886.37/882.415
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 718.3000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 129.98/54.6628
Info:Generate Free Relations: Total cpu/real time for freerel: 237.38/61.7742
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48457974
Info:Lattice Sieving: Average J: 1893.71 for 4614555 special-q, max bucket fill -bkmult 1.0,1s:1.118150
Info:Lattice Sieving: Total time: 1.20551e+06s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.51127e+06/61763.4
192403546784579738058186416990526750948029160372584805940285735073 113208385247337317381090922933120193027757534685509829788840928424632821012605553693999903880733958452119863

cado-nfs-3.0.0

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)

18039309786068466964084756343590172510476936733802274647863755019938603533058315000129499085284926864986834077032063365426495622006403460558224174052760700512974636067962749896469641<182>

2533195361233292304352043023406243<34>
7121168016542547769108865718382005207258745745782424717886653171496245787524328082998234531431046616926591550436850601010258051507137764999419535587<148>

Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=765735042
Step 1 took 6036ms
Step 2 took 2975ms
********** Factor found in step 2: 2533195361233292304352043023406243
Found probable prime factor of 34 digits: 2533195361233292304352043023406243
Probable prime cofactor has 148 digits

10974026566085245349843348085778769096782028915588057406477526100211152090584142237494125559097248944486638035514946847208343666009270565759485183993255220268265445017517557521953068316858559<191>

12229010317115608344216346859587<32>
897376507298068144862778589798367207239293659834226193817669922576552648176639026249537434645144314495201483693234190731509964514552493732953111481326824678357<159>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3281000447
Step 1 took 8624ms
Step 2 took 6449ms
********** Factor found in step 2: 12229010317115608344216346859587
Found probable prime factor of 32 digits: 12229010317115608344216346859587
Probable prime cofactor 89737650729806814486277858979836720723929365983422619381766992257655264817663902624953743464514431449520148369323419073
1509964514552493732953111481326824678357 has 159 digits

14349896726171234240544363645257778769985719487029490502914729815960542643786012250217230177265188723501697433148077671242231833303678933073048429143423296673728122308762742995066175630317<188>

11254943826250564112717336113<29>
1274986081467783994279211885629734058045683889780978039438225972812153897453314667760100748647161014062396551388666990974550088368311119105574039879804024938109<160>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3524218671
Step 1 took 8585ms
Step 2 took 6428ms
********** Factor found in step 2: 11254943826250564112717336113
Found probable prime factor of 29 digits: 11254943826250564112717336113
Probable prime cofactor 12749860814677839942792118856297340580456838897809780394382259728121538974533146677601007486471610140623965513886669909
74550088368311119105574039879804024938109 has 160 digits

85579730628797292437824058217511695409506710327938932224832907000779634565353389950192310161782359266020900860765319977747422161269662044486637857777794329197572740972571555625475863<182>

1855050745869138536917181554820343119300321873957689542741642326126971841<73>
46133363639441037641895867765708271558688694644243412004522548679758835722862314010606084513047294109849878743<110>

Number: n
N=85579730628797292437824058217511695409506710327938932224832907000779634565353389950192310161782359266020900860765319977747422161269662044486637857777794329197572740972571555625475863  ( 182 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Sep 23 15:23:01 2021  p73 factor: 1855050745869138536917181554820343119300321873957689542741642326126971841
Thu Sep 23 15:23:01 2021  p110 factor: 46133363639441037641895867765708271558688694644243412004522548679758835722862314010606084513047294109849878743
Thu Sep 23 15:23:01 2021  elapsed time 01:55:07 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 85x10^203+23 = 94(202)7
#
n: 85579730628797292437824058217511695409506710327938932224832907000779634565353389950192310161782359266020900860765319977747422161269662044486637857777794329197572740972571555625475863
m: 10000000000000000000000000000000000
deg: 6
c6: 17
c0: 46
skew: 1.18
# Murphy_E = 7.875e-12
type: snfs
lss: 1
rlim: 18400000
alim: 18400000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18400000/18400000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 43600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9400202 hash collisions in 60825259 relations (54031665 unique)
Msieve: matrix is 2239090 x 2239317 (779.1 MB)

Sieving start time : 2021/09/22 22:32:25
Sieving end time  : 2021/09/23 13:27:00

Total sieving time: 14hrs 54min 35secs.

Total relation processing time: 1hrs 36min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 20sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18400000,18400000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119850] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239964K/16727236K available (14339K kernel code, 2400K rwdata, 5016K rodata, 2736K init, 4964K bss, 487272K reserved, 0K cma-reserved)
[    0.154026] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.44 BogoMIPS (lpj=12798892)
[    0.150212] smpboot: Total of 16 processors activated (102391.13 BogoMIPS)

1431627170599430717666279285196975056001886379330672191063277920940494837720849544405706297475283377966415710844996884105569871827261549862732218348407525306115574419348862277466188334764960503932764051<202>

4856518474673505478363416285063431<34>

294784664789250347860036970308960555143103697051523462392107098334569498464401465937128574096862545233536184560532664322956271347860987822370928282849643705683297472021<168>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1998113387
Step 1 took 17065ms
Step 2 took 12597ms
********** Factor found in step 2: 4856518474673505478363416285063431
Found probable prime factor of 34 digits: 4856518474673505478363416285063431
Composite cofactor 294784664789250347860036970308960555143103697051523462392107098334569498464401465937128574096862545233536184560532664322956271347860987822370928282849643705683297472021 has 168 digits

294784664789250347860036970308960555143103697051523462392107098334569498464401465937128574096862545233536184560532664322956271347860987822370928282849643705683297472021<168>

1044316604608244199787990226810122048297479081785669879654077<61>
282275186938958314848688281145562425653336177501532741652053818230077039003201717128667157865208105023817273<108>

Number: n
N=294784664789250347860036970308960555143103697051523462392107098334569498464401465937128574096862545233536184560532664322956271347860987822370928282849643705683297472021  ( 168 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Dec 17 10:05:03 2023  prp61 factor: 1044316604608244199787990226810122048297479081785669879654077
Sun Dec 17 10:05:03 2023  prp108 factor: 282275186938958314848688281145562425653336177501532741652053818230077039003201717128667157865208105023817273
Sun Dec 17 10:05:03 2023  elapsed time 03:16:11 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.107).
Factorization parameters were as follows:
#
# N = 85x10^204+23 = 94(203)7
#
n: 294784664789250347860036970308960555143103697051523462392107098334569498464401465937128574096862545233536184560532664322956271347860987822370928282849643705683297472021
m: 50000000000000000000000000000000000000000
deg: 5
c5: 272
c0: 23
skew: 0.61
# Murphy_E = 8.523e-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, 56650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3785086 hash collisions in 20053838 relations (16592852 unique)
Msieve: matrix is 2483110 x 2483335 (698.0 MB)

Sieving start time: 2023/12/16 06:05:23
Sieving end time  : 2023/12/17 06:48:25

Total sieving time: 24hrs 43min 2secs.

Total relation processing time: 3hrs 7min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 54sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

177317013884775394927076636160985015454418979155369095659218377882970991960794966244504270370496161146102746327006872972258692681333917010877061622938027643150878027020204917012059870409675294101076201<201>

473470425787563062069804272952978304020353<42>
374504941021034496117216311591186910885723919518011644900283226784469398728815375434625064039879780303189395975773399445650899960498462672456417120694020013417<159>

GMP-ECM 6.2.3 [powered by GMP 6.1.2] [ECM]
Input number is 177317013884775394927076636160985015454418979155369095659218377882970991960794966244504270370496161146102746327006872972258692681333917010877061622938027643150878027020204917012059870409675294101076201 (201 digits)
Using B1=19900000, B2=70272304840, polynomial Dickson(12), sigma=1360345043
Step 1 took 107848ms
********** Factor found in step 1: 473470425787563062069804272952978304020353
Found probable prime factor of 42 digits: 473470425787563062069804272952978304020353
Probable prime cofactor 374504941021034496117216311591186910885723919518011644900283226784469398728815375434625064039879780303189395975773399445650899960498462672456417120694020013417 has 159 digits

39350757327182908040707617278207791626170165141236645011873079607095984115916981654656971204928764042309718114006731083969472980787880120293<140>

397676595676109756585547465586997650785444351110896001<54>
98951655076107077947254624154995131627713487176037652735759701640591924446581955592293<86>

Number: 94447_208
N = 39350757327182908040707617278207791626170165141236645011873079607095984115916981654656971204928764042309718114006731083969472980787880120293 (140 digits)
Divisors found:
r1=397676595676109756585547465586997650785444351110896001 (pp54)
r2=98951655076107077947254624154995131627713487176037652735759701640591924446581955592293 (pp86)
Version: Msieve v. 1.51 (SVN 845)
Total time: 320.01 hours.
Factorization parameters were as follows:
# Murphy_E = 2.247e-11, selected by Erik Branger
# expecting poly E from 2.17e-011 to > 2.50e-011
n: 39350757327182908040707617278207791626170165141236645011873079607095984115916981654656971204928764042309718114006731083969472980787880120293
Y0: -1727739774126138714816413941
Y1: 578157249519691
c0: 11032550809374627177836508497826720
c1: 21640783602888702545335184718
c2: -28379154917177742234189
c3: -14073333176703475
c4: 10367135363
c5: 2556
skew: 1697951.45
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: 23047499
Relations: 3169616 relations
Pruned matrix : 2004147 x 2004372
Polynomial selection time: 0.00 hours.
Total sieving time: 315.10 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.65 hours.
time per square root: 1.06 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: 320.01 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz

GGNFS, Msieve

17295299951369686019089941663970634615423745022514411054341832447203553471980596708195733961661406860740279532742037549113565008963034857150996107540140356445958291875481979314821258161855521168429769891121<206>

12046224006381879582235581495311010949138358168595822006353016111122601113524187338208207<89>
1435744507341631490696130149746897149021439535757556885394682931035984919009303149697601366473140321014224320113909503<118>

Number: n
N=17295299951369686019089941663970634615423745022514411054341832447203553471980596708195733961661406860740279532742037549113565008963034857150996107540140356445958291875481979314821258161855521168429769891121
  ( 206 digits)
SNFS difficulty: 210 digits.
Divisors found:

Wed Aug 22 01:18:28 2012  prp89 factor: 12046224006381879582235581495311010949138358168595822006353016111122601113524187338208207
Wed Aug 22 01:18:28 2012  prp118 factor: 1435744507341631490696130149746897149021439535757556885394682931035984919009303149697601366473140321014224320113909503
Wed Aug 22 01:18:28 2012  elapsed time 17:51:20 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.086).
Factorization parameters were as follows:
name: KA_94447_209
n: 17295299951369686019089941663970634615423745022514411054341832447203553471980596708195733961661406860740279532742037549113565008963034857150996107540140356445958291875481979314821258161855521168429769891121
m: 500000000000000000000000000000000000000000
#  c206, diff: 210.93
skew: 0.61
deg: 5
c5: 272
c0: 23
# Murphy_E = 5.235e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 41900000)
Primes: RFBsize:1448221, AFBsize:1448996, 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8946098 hash collisions in 57881989 relations (50853939 unique)
Msieve: matrix is 3247991 x 3248216 (919.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,210,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
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.. 5662.11 BogoMIPS (lpj=2831056)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830455)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830458)
Total of 4 processors activated (22644.83 BogoMIPS).

1704340868261886737019593858628293220656520917453187229753121219979656003090133004231433268266711192297606070983104957870691155867963742881621207489868609021278188729909456090599<178>

10613394710855641152836859504474658401433720245676918535632449573382567422571221116440827337646648319766827465225293825972187488865555230212795075478401672817111071728713813191174757282049546075784811059<203>

1092128528851547856060304374707748109<37>

9718082103409928664238795158297041817669648386130931034116634507070885656885566716518919165036565712943026627312688573158282406099581158251466264140695821761624767551<166>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=722753149
Step 1 took 27338ms
Step 2 took 10327ms
********** Factor found in step 2: 1092128528851547856060304374707748109
Found probable prime factor of 37 digits: 1092128528851547856060304374707748109

1703967433966474299738104650805811791601153035383250009671567828357546747711699058114700594501465908457176878577152958718949173431332882780295850476299920441316723930295728883641<178>

420595420599074604351465784980026852024532153594387611934539444239976199960277425796967722836438104382086591365113937848360827777368388529121022471564064663071786919387577928825576055676701309328959365299<204>

3880059272328625778780335956153209914470991293619<49>
9366082985914177529599752259367654876863364205710432089<55>
11573592270502038039724990807691715669934664659369670684032439526769502821453880897140198127025069289<101>

Number: n
N=420595420599074604351465784980026852024532153594387611934539444239976199960277425796967722836438104382086591365113937848360827777368388529121022471564064663071786919387577928825576055676701309328959365299
  ( 204 digits)
SNFS difficulty: 217 digits.
Divisors found:

Mon Oct 14 14:24:08 2019  found factor: 9366082985914177529599752259367654876863364205710432089
Mon Oct 14 14:46:01 2019  p49 factor: 3880059272328625778780335956153209914470991293619
Mon Oct 14 14:46:01 2019  p55 factor: 9366082985914177529599752259367654876863364205710432089
Mon Oct 14 14:46:01 2019  p101 factor: 11573592270502038039724990807691715669934664659369670684032439526769502821453880897140198127025069289
Mon Oct 14 14:46:01 2019  elapsed time 06:17:35 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 85x10^216+23 = 94(215)7
#
n: 420595420599074604351465784980026852024532153594387611934539444239976199960277425796967722836438104382086591365113937848360827777368388529121022471564064663071786919387577928825576055676701309328959365299
m: 1000000000000000000000000000000000000
deg: 6
c6: 85
c0: 23
skew: 0.80
# Murphy_E = 3.139e-12
type: snfs
lss: 1
rlim: 30000000
alim: 30000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 30000000/30000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 47800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 10753169 hash collisions in 62866398 relations (54432112 unique)
Msieve: matrix is 3637589 x 3637814 (1286.8 MB)

Sieving start time: 2019/10/13 11:59:24
Sieving end time  : 2019/10/14 08:27:18

Total sieving time: 20hrs 27min 54secs.

Total relation processing time: 5hrs 28min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 29min 9sec.

Prototype def-par.txt line would be:
snfs,217,6,0,0,0,0,0,0,0,0,30000000,30000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

2525912986429420513283456378789318711593574879210694651340752282193497709215848940069841921046702014082551514012713031788839179216913177208025934675342849976239276147187982868826366609776780135679<196>

1233666972281350804146296799225266482133<40>
2047483675240484054053228709342958350966820909585991704642790402221117896161523201718766171750296643530439235393848684042823080391014801588559748267247756163<157>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=927443832
Step 1 took 139973ms
Step 2 took 41472ms
********** Factor found in step 2: 1233666972281350804146296799225266482133
Found probable prime factor of 40 digits: 1233666972281350804146296799225266482133

852376626178064190241751081292268768176254495388430406628336473301554371141007867383375700738192758625117505704215804329152435320397769561833199730171251447266975418862082765387191870517943340056069090471869<207>

210067412034691339503722559913720562156068229<45>
66675456863700232357106768773858597792856790464771<50>
60856482523577270459384709337432188244023430695838574737117265625446301694620314861406540925823450999647788079091<113>

Number: 94447_219
N = 852376626178064190241751081292268768176254495388430406628336473301554371141007867383375700738192758625117505704215804329152435320397769561833199730171251447266975418862082765387191870517943340056069090471869 (207 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=210067412034691339503722559913720562156068229 (pp45)
r2=66675456863700232357106768773858597792856790464771 (pp50)
r3=60856482523577270459384709337432188244023430695838574737117265625446301694620314861406540925823450999647788079091 (pp113)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 71.73 hours.
Factorization parameters were as follows:
n: 852376626178064190241751081292268768176254495388430406628336473301554371141007867383375700738192758625117505704215804329152435320397769561833199730171251447266975418862082765387191870517943340056069090471869
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 17
c0: 46
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: 7825644 relations
Pruned matrix : 6742878 x 6743102
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 36.15 hours.
Total relation processing time: 0.36 hours.
Matrix solve time: 34.48 hours.
time per square root: 0.75 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: 71.73 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

7383865328234227049463271607085866422627311498409615307652788309558633445978976710758853825692253228115163524080552619600397543834511976321177432207668276184257114391163080318933293109509785267727533527765275156397<214>

449877392929212105637146377918835686831<39>

16413061523622888769537494800422735736979748523695434313312912728267241892405035529566272526620101682516658581884436936196706931989015608750446730462098909817766460293637049187<176>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=217229103
Step 1 took 11289ms
Step 2 took 7676ms
********** Factor found in step 2: 449877392929212105637146377918835686831
Found probable prime factor of 39 digits: 449877392929212105637146377918835686831
Composite cofactor 1641306152362288876953749480042273573697974852369543431331291272826724189240503552956627252662010168251665858188443693619670
6931989015608750446730462098909817766460293637049187 has 176 digits

16413061523622888769537494800422735736979748523695434313312912728267241892405035529566272526620101682516658581884436936196706931989015608750446730462098909817766460293637049187<176>

184391486727385271441178866039327917417392055109<48>
89012035289291205772400027726695814844391834389959212145265278640214447335840967345361536461754512992491877429827769706012625543<128>

Number: 94447_220
N = 16413061523622888769537494800422735736979748523695434313312912728267241892405035529566272526620101682516658581884436936196706931989015608750446730462098909817766460293637049187 (176 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=184391486727385271441178866039327917417392055109 (pp48)
r2=89012035289291205772400027726695814844391834389959212145265278640214447335840967345361536461754512992491877429827769706012625543 (pp128)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 84.99 hours.
Factorization parameters were as follows:
n: 16413061523622888769537494800422735736979748523695434313312912728267241892405035529566272526620101682516658581884436936196706931989015608750446730462098909817766460293637049187
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 85
c0: 23
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Relations: 8432376 relations
Pruned matrix : 7253283 x 7253508
Total pre-computation time approximately 300 CPU-days.
Pre-computation saved approximately 8 G relations.
Total batch smoothness checking time: 38.34 hours.
Total relation processing time: 0.38 hours.
Matrix solve time: 46.02 hours.
time per square root: 0.26 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 84.99 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

1231969221196201780300776317262632163910438993095938982052254880331573541391814481313275041494605128822634297095329613255656855459371384178617875444860716366709740093382471904095164344322879748729<196>

8044221842271800868980458531706029<34>

153149583061259337971988654249387299219898522097067308137039190981105147936731430103858464006506572766238518543982731519512909960412878612167593166233203164146301<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1410440118
Step 1 took 27042ms
Step 2 took 9916ms
********** Factor found in step 2: 8044221842271800868980458531706029
Found probable prime factor of 34 digits: 8044221842271800868980458531706029

153149583061259337971988654249387299219898522097067308137039190981105147936731430103858464006506572766238518543982731519512909960412878612167593166233203164146301<162>

248396343301795547176940888486219543110178203<45>
616553291507944221214257916687696798329540023924330304386050021074594381255788603281039019829699980280689437305408967<117>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=231920057
Step 1 took 302102ms
Step 2 took 79001ms
********** Factor found in step 2: 248396343301795547176940888486219543110178203
Found probable prime factor of 45 digits: 248396343301795547176940888486219543110178203

902215673800906959042219952182284030081717333125702889704526944097030101475397516969970534916574471440450709274845858306720368103329995781011460185554590633075519539868691732151995556199780306390155999<201>

4187030122584272510444363927769772818085263520748286404951430604455671642318288144152922270859317527257505552694799397963923545115267123884367211483110839964571199157805656121426495527813025267874246636581104931<211>

22983180813505110802174115641643910676201912912227361729471790549987003053065094084232603690314428694862667376972837013185609421<128>

4005454039826391131285839910354097467587<40>
118805145358469396201041918488860414475599<42>
48297330935443105869302930043423360923316842017<47>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1058857165
Step 1 took 13506ms
Step 2 took 6518ms
********** Factor found in step 2: 4005454039826391131285839910354097467587
Found probable prime factor of 40 digits: 4005454039826391131285839910354097467587
Composite cofactor 5737971422211418890603078875219714367585821942471889886266866996766869279371781784443183 has 88 digits

starting SIQS on c88: 5737971422211418890603078875219714367585821942471889886266866996766869279371781784443183

==== sieving in progress (16 threads):   67920 relations needed ====
====            Press ctrl-c to abort and save state            ====
68255 rels found: 21978 full + 46277 from 745432 partial, (4899.85 rels/sec)

freed 51 duplicate relations
SIQS elapsed time = 186.2201 seconds.


***factors found***

PRP47 = 48297330935443105869302930043423360923316842017
PRP42 = 118805145358469396201041918488860414475599

532241960820032375481847096752188691801702880567113107853631441587623867256627281836703600991828392354956115355783387395096122533700702366741203146884076182547714858953466912782603416782890355596471<198>

201738366718582908383366380612944526177<39>

2638278327902242756804368799280918701074205943193130629099589580009524674819767424299823296795987635822373016451215475114067872896097487737103539449023781267223<160>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=858070642
Step 1 took 27072ms
Step 2 took 9952ms
********** Factor found in step 2: 201738366718582908383366380612944526177
Found probable prime factor of 39 digits: 201738366718582908383366380612944526177

2638278327902242756804368799280918701074205943193130629099589580009524674819767424299823296795987635822373016451215475114067872896097487737103539449023781267223<160>

8161603638863535014017714929263422583061761<43>
323254895072264330959518969430481623008009477552366139260022760094065921768633390229608765650295065021918550801771543<117>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1507165841
Step 1 took 220176ms
Step 2 took 59880ms
********** Factor found in step 2: 8161603638863535014017714929263422583061761
Found probable prime factor of 43 digits: 8161603638863535014017714929263422583061761

34616875267942350320429927319888001574344450301815020435196860509358988835201867710399819223139657342475736250998661993662081944383534999784010068639397035836304275373931346299800187<182>

32711576855120313214001001656584685946360131776694979045664060013941386796297798527044313797095276706341280158110101083729559630439636790344304610833454422013500580883713692543766878437766201707982536461344143655643<215>

25043817816701219456482258741000399244521805899015416546820317126368399227764894317355634699673323780704073777418538351160659288779432279985253591713000087119030711320784034828524885701223581479364185016318705722792967<218>

17434077885121079540628494557933978417911979350975947227589249300827952823833065771799927007465009854258496044011199661590769940689299004123582830426684569338355051780840279413451840072025904222278021663633183673641483<218>

193235403621101875540339213729782793541421051498216291234327159245423838514920272205880408561741894587934453881119966751013631689481321442080003828861<150>

455871628523608552781671297637883277832323534033683691<54>
423881179548103100124864939971760871991228010429565572244243494314307589105931611341536274274871<96>

Msieve v. 1.53 (SVN 1005)
Tue Jul 25 00:46:04 2023
random seeds: 8ae76834 82d26b63
factoring 193235403621101875540339213729782793541421051498216291234327159245423838514920272205880408561741894587934453881119966751013631689481321442080003828861 (150 digits)
searching for 15-digit factors
commencing number field sieve (150-digit input)
R0: -51525753133587796477485071727
R1: 4134846447514740036461
A0: -8482359457093167930924539085742140
A1: 86367349090114809077103081132
A2: 448297201550355622323071
A3: -955861839644388727
A4: -1078003007376
A5: 3284820
skew 404795.46, size 1.870e-014, alpha -6.960, combined = 6.518e-012 rroots = 3

commencing relation filtering
setting target matrix density to 110.0
estimated available RAM is 16335.2 MB
commencing duplicate removal, pass 1
read 10M relations
error -5 reading relation 10085260
error -1 reading relation 16439155
error -9 reading relation 19144925
read 20M relations
read 30M relations
read 40M relations
read 50M relations
read 60M relations
error -15 reading relation 65108885
read 70M relations
read 80M relations
read 90M relations
read 100M relations
read 110M relations
read 120M relations
read 130M relations
read 140M relations
read 150M relations
error -9 reading relation 150498911
read 160M relations
error -9 reading relation 168115315
read 170M relations
skipped 2 relations with composite factors
found 16884874 hash collisions in 170579195 relations
added 122498 free relations
commencing duplicate removal, pass 2
found 12495056 duplicates and 158206637 unique relations
memory use: 788.8 MB
reading ideals above 50790400
commencing singleton removal, initial pass
memory use: 3012.0 MB
reading all ideals from disk
memory use: 2748.9 MB
commencing in-memory singleton removal
begin with 158206637 relations and 135911433 unique ideals
reduce to 88592327 relations and 58313242 ideals in 12 passes
max relations containing the same ideal: 30
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1506.0 MB
reading all ideals from disk
memory use: 3142.9 MB
keeping 63947128 ideals with weight <= 200, target excess is 458757
commencing in-memory singleton removal
begin with 88592327 relations and 63947128 unique ideals
reduce to 88592132 relations and 63946933 ideals in 5 passes
max relations containing the same ideal: 200
removing 8875451 relations and 6875451 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 79716681 relations and 63946933 unique ideals
reduce to 79042109 relations and 56377602 ideals in 8 passes
max relations containing the same ideal: 194
removing 6904157 relations and 4904157 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 72137952 relations and 56377602 unique ideals
reduce to 71678712 relations and 51002287 ideals in 8 passes
max relations containing the same ideal: 183
removing 6356621 relations and 4356621 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 65322091 relations and 51002287 unique ideals
reduce to 64921153 relations and 46233859 ideals in 7 passes
max relations containing the same ideal: 175
removing 6060891 relations and 4060891 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 58860262 relations and 46233859 unique ideals
reduce to 58486757 relations and 41788362 ideals in 7 passes
max relations containing the same ideal: 165
removing 5868871 relations and 3868871 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 52617886 relations and 41788362 unique ideals
reduce to 52252000 relations and 37542291 ideals in 7 passes
max relations containing the same ideal: 151
removing 5729788 relations and 3729788 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 46522212 relations and 37542291 unique ideals
reduce to 46154435 relations and 33431860 ideals in 6 passes
max relations containing the same ideal: 138
removing 5624379 relations and 3624379 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 40530056 relations and 33431860 unique ideals
reduce to 40148633 relations and 29411431 ideals in 7 passes
max relations containing the same ideal: 128
removing 5542910 relations and 3542910 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 34605723 relations and 29411431 unique ideals
reduce to 34199605 relations and 25444689 ideals in 7 passes
max relations containing the same ideal: 118
removing 5476647 relations and 3476647 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 28722958 relations and 25444689 unique ideals
reduce to 28275151 relations and 21497873 ideals in 7 passes
max relations containing the same ideal: 103
removing 5425267 relations and 3425267 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 22849884 relations and 21497873 unique ideals
reduce to 22337500 relations and 17530186 ideals in 7 passes
max relations containing the same ideal: 87
removing 5380262 relations and 3380262 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 16957238 relations and 17530186 unique ideals
reduce to 16340077 relations and 13486615 ideals in 7 passes
max relations containing the same ideal: 71
removing 5320277 relations and 3320277 ideals in 2000000 cliques
commencing in-memory singleton removal
begin with 11019800 relations and 13486615 unique ideals
reduce to 10220681 relations and 9284651 ideals in 9 passes
max relations containing the same ideal: 52
removing 1398882 relations and 995011 ideals in 403871 cliques
commencing in-memory singleton removal
begin with 8821799 relations and 9284651 unique ideals
reduce to 8659190 relations and 8120453 ideals in 8 passes
max relations containing the same ideal: 47
relations with 0 large ideals: 1579
relations with 1 large ideals: 14068
relations with 2 large ideals: 170670
relations with 3 large ideals: 806350
relations with 4 large ideals: 1896852
relations with 5 large ideals: 2500168
relations with 6 large ideals: 1987174
relations with 7+ large ideals: 1282329
commencing 2-way merge
reduce to 5535837 relation sets and 4997100 unique ideals
commencing full merge
memory use: 664.2 MB
found 2640297 cycles, need 2573300
weight of 2573300 cycles is about 283190133 (110.05/cycle)
distribution of cycle lengths:
1 relations: 66866
2 relations: 142277
3 relations: 186634
4 relations: 204746
5 relations: 220828
6 relations: 223174
7 relations: 218644
8 relations: 206580
9 relations: 188916
10+ relations: 914635
heaviest cycle: 23 relations
commencing cycle optimization
start with 21218987 relations
pruned 998056 relations
memory use: 573.4 MB
distribution of cycle lengths:
1 relations: 66866
2 relations: 146393
3 relations: 195658
4 relations: 215199
5 relations: 234241
6 relations: 236714
7 relations: 231880
8 relations: 217543
9 relations: 197793
10+ relations: 831013
heaviest cycle: 23 relations
RelProcTime: 4537

commencing linear algebra
read 2573300 cycles
cycles contain 8363134 unique relations
read 8363134 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1178.1 MB
read 2573300 cycles
matrix is 2573120 x 2573300 (1122.2 MB) with weight 346994313 (134.84/col)
sparse part has weight 263292339 (102.32/col)
filtering completed in 2 passes
matrix is 2572946 x 2573126 (1122.2 MB) with weight 346983295 (134.85/col)
sparse part has weight 263287401 (102.32/col)
matrix starts at (0, 0)
matrix is 2572946 x 2573126 (1122.2 MB) with weight 346983295 (134.85/col)
sparse part has weight 263287401 (102.32/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2572898 x 2573126 (1084.6 MB) with weight 292136744 (113.53/col)
sparse part has weight 258586352 (100.50/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (4 threads)
memory use: 887.1 MB
linear algebra at 0.1%, ETA 3h17m2573126 dimensions (0.1%, ETA 3h17m)
checkpointing every 820000 dimensions126 dimensions (0.1%, ETA 3h10m)
linear algebra completed 2572705 of 2573126 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 40688 iterations (dim = 2572896)
recovered 29 nontrivial dependencies
BLanczosTime: 11856

commencing square root phase
handling dependencies 1 to 64
reading relations for dependency 1
read 1287812 cycles
cycles contain 4185294 unique relations
read 4185294 relations
multiplying 4185294 relations
multiply complete, coefficients have about 231.25 million bits
initial square root is modulo 199037359
sqrtTime: 714
p54 factor: 455871628523608552781671297637883277832323534033683691
p96 factor: 423881179548103100124864939971760871991228010429565572244243494314307589105931611341536274274871
elapsed time 04:45:09

93060586491146186355451081025196616506453500567075395554295911073892173093119349479457253099089916236855731321970568294619921412640826277348999779362944552267908893641042641460878649711313243<191>

9669272690208458962870253752934530590986347021528462377794959481093662189926140998194905161199206065921248660584689031552929898929993018924211897610361727380292298150552058624295435897314038467063145604137800787481028242887<223>

1521831868767102592719889352438876115348338631367185641770553623992836003333635372199522757106735504314223260863520703600523503001294147917295205608347903083086344497008517191660167996989422677683225468576060771867036511199366617157<232>

67969971244630440970774707689441793958238583348307117180271884288674664063337964962855876604402759778805030056342707855914136694753404346517261851123457142187152053872374441684554779717793857850677872620535459624037<215>

11543461561943469157554472665343594252435016783<47>

5888179284861494019346415407806320360829747278735900022508901919264381335422718029971747170155111999837274777592829017938724440585842129988554236510077450647666821366539<169>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2585486669
Step 1 took 158537ms
Step 2 took 45671ms
********** Factor found in step 2: 11543461561943469157554472665343594252435016783
Found probable prime factor of 47 digits: 11543461561943469157554472665343594252435016783

381741567171592272450950377744950674165968514635401703360835982702977281197455268317438793277084570831567551503377020224378716813597767167956587308699163648460031035104643534081680911440536343095062163787531173404593410545038781<228>

820741818918691598226961683723221761680813740292544576653495508170306658081938979643670768016852714691288890335711878850968289810394049936977697950690428246946293191944970585815355324156379592508040414126662645862151570101452736289930597<237>

6775101882149731102336249<25>
121140882188220507766370701372938639523737916662125450622304597846438611566317638562889576516073241604736485930761583339477938138551010282576959375784809794140684111037789749117423797542883715198710410874985640653<213>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3806905160
Step 1 took 12713ms
Step 2 took 8360ms
********** Factor found in step 2: 6775101882149731102336249
Found probable prime factor of 25 digits: 6775101882149731102336249
Probable prime cofactor 12114088218822050776637070137293863952373791666212545062230459784643861156631763856288957651607324160473648593076158333
9477938138551010282576959375784809794140684111037789749117423797542883715198710410874985640653 has 213 digits

6536558855554184035388578952320521463697063655629999081785053969273825799694598884223358229226197010470803291210663981111393915844379914886088682923756219433523882671801552686706455387500011488249267361989100753<211>

37415041088961620688068123431<29>

174704040549153198773240404167988757874769545713092434031730469242892719011847230988798672261606352079447017145452633521090042185970868619397948788920225550787186861706296532862286663<183>

Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=996495291
Step 1 took 10125ms
Step 2 took 7408ms
********** Factor found in step 2: 37415041088961620688068123431
Found probable prime factor of 29 digits: 37415041088961620688068123431
Composite cofactor 1747040405491531987732404041679887578747695457130924340317304692428927190118472309887986722616063520794470171454526335210900
42185970868619397948788920225550787186861706296532862286663 has 183 digits

174704040549153198773240404167988757874769545713092434031730469242892719011847230988798672261606352079447017145452633521090042185970868619397948788920225550787186861706296532862286663<183>

4194718933145096319346861654003151<34>

41648568910948328541610459171635443477745078225323734793914724830735141596064371686756505860730914374435085533517228994973153530412973463722632040713<149>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=20303964
Step 1 took 23652ms
Step 2 took 8929ms
********** Factor found in step 2: 4194718933145096319346861654003151
Found probable prime factor of 34 digits: 4194718933145096319346861654003151

41648568910948328541610459171635443477745078225323734793914724830735141596064371686756505860730914374435085533517228994973153530412973463722632040713<149>

8235305154038983503895953461413265683445951353031<49>
5057319447418642249043359896470034107651449207816104256013072379936369372734521147985124247462191023<100>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2344434200
Step 1 took 81750ms
Step 2 took 28062ms
********** Factor found in step 2: 8235305154038983503895953461413265683445951353031
Found prime factor of 49 digits: 8235305154038983503895953461413265683445951353031
Prime cofactor 5057319447418642249043359896470034107651449207816104256013072379936369372734521147985124247462191023 has 100 digits
 

GMP-ECM

1057402755195127536161877771211151175668945246756825721281408237057616296508300944153965596369031635593160503752309128792353213800200604945622646602765091978468216930425439326442869481639062834899469536520731003053488672933<223>

21394462780114801644044053541069746863137<41>

49424132125343021328177414991129258483588683016328985097394984665684456298458508205445959922436733979959386528275017235119552429550690967437178529972711605860521405264782060596143109<182>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=245666845
Step 1 took 158478ms
Step 2 took 47661ms
********** Factor found in step 2: 21394462780114801644044053541069746863137
Found probable prime factor of 41 digits: 21394462780114801644044053541069746863137

11657750048960771757576522171285916033061006815935805005035575934416875722264203067033842866043248689483215268025680013802642400356592419386301761465927920891676833111071069307223231643359409462006167045715425241191126896305063052117599<236>

141272213302019574011086812479063231<36>

82519766459934955813657407434956031506457358185882344421958967580770849148242466943890788860828632380934250100199066339388048578197056376997217089445083150858163950804713028507008748280181780906296929<200>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3377130927
Step 1 took 34893ms
Step 2 took 12058ms
********** Factor found in step 2: 141272213302019574011086812479063231
Found probable prime factor of 36 digits: 141272213302019574011086812479063231

222477169237543114009343472059965392434456767823490700092412724561121572353988860021303970845993457532593994637282985450798612165854452455093131895039623530686396705042406134791454036103057148849135312268297<207>

7674880006505586541572192890609362636025117<43>
28987706524266318245240585207306131037421948200869807441203171885593756744317900204994943663515489305635521771838685717292850111130137262758815543919973210754040541<164>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1493713847
Step 1 took 141676ms
Step 2 took 42629ms
********** Factor found in step 2: 7674880006505586541572192890609362636025117
Found probable prime factor of 43 digits: 7674880006505586541572192890609362636025117

352777915364592440233275975831551115282236922776703794716109789463072157636813871481291065853897596780885954310776428986074706306749295315856955287433230801050512035568180551162777797938734327417391508756136481626911554250349<225>