1750921258980331404967964674248939712645074932896596078406776640201622502944553027695654344100976413<100>

386165004928233317676708760481<30>
4534127216695181047132731334402401495791222239561382135000425713957373<70>

Number: 74449_104
N=1750921258980331404967964674248939712645074932896596078406776640201622502944553027695654344100976413
  ( 100 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=386165004928233317676708760481
 r2=4534127216695181047132731334402401495791222239561382135000425713957373
Version: 
Total time: 0.22 hours.
Scaled time: 0.52 units (timescale=2.385).
Factorization parameters were as follows:
n: 1750921258980331404967964674248939712645074932896596078406776640201622502944553027695654344100976413
m: 100000000000000000000000000
deg: 4
c4: 67
c0: 41
skew: 0.88
type: snfs
lss: 1
rlim: 240000
alim: 240000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 240000/240000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [120000, 200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 862464
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 34960 x 35193
Total sieving time: 0.20 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105,4,0,0,0,0,0,0,0,0,240000,240000,25,25,44,44,2.2,2.2,20000
total time: 0.22 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

1022451146952139130224967621542222236077630734065060300433981671904917587999691828091026081338897<97>

869590929989825884177330375669983213482524877<45>
1175784051662201321889393008064659953020649677298261<52>

Number: 74449_113
N=1022451146952139130224967621542222236077630734065060300433981671904917587999691828091026081338897
  ( 97 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=869590929989825884177330375669983213482524877
 r2=1175784051662201321889393008064659953020649677298261
Version: 
Total time: 0.79 hours.
Scaled time: 1.89 units (timescale=2.392).
Factorization parameters were as follows:
n: 1022451146952139130224967621542222236077630734065060300433981671904917587999691828091026081338897
m: 100000000000000000000000
deg: 5
c5: 67
c0: 4100
skew: 2.28
type: snfs
lss: 1
rlim: 450000
alim: 450000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 450000/450000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [225000, 525001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 1168115
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70222 x 70453
Total sieving time: 0.71 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,450000,450000,25,25,45,45,2.2,2.2,25000
total time: 0.79 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

74444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<116>

75238973175295618288828136185615790213603981<44>
989439931230852392677882277821169072176642871144176663604322784136109029<72>

Number: s116
N=74444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
  ( 116 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=75238973175295618288828136185615790213603981 (pp44)
 r2=989439931230852392677882277821169072176642871144176663604322784136109029 (pp72)
Version: Msieve-1.40
Total time: 0.85 hours.
Scaled time: 1.52 units (timescale=1.793).
Factorization parameters were as follows:
n: 74444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449
m: 100000000000000000000000
deg: 5
c5: 67
c0: 41
skew: 0.91
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 510001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 64899 x 65124
Total sieving time: 0.82 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,50000
total time: 0.85 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

208284879314622401916862034075270093518284946714987602220269436455654582860537149251344762334391880301350878309<111>

394121494818965174452737614446926695666843079535589<51>
528478862616451509745863971040078685044093400122478146340481<60>

Number: n
N=208284879314622401916862034075270093518284946714987602220269436455654582860537149251344762334391880301350878309
  ( 111 digits)
SNFS difficulty: 121 digits.
Divisors found:

Wed Nov 04 16:21:19 2009  prp51 factor: 394121494818965174452737614446926695666843079535589
Wed Nov 04 16:21:19 2009  prp60 factor: 528478862616451509745863971040078685044093400122478146340481
Wed Nov 04 16:21:19 2009  elapsed time 00:03:01 (Msieve 1.43 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.55 hours.
Scaled time: 2.83 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_7_4_117_9
n: 208284879314622401916862034075270093518284946714987602220269436455654582860537149251344762334391880301350878309
m: 500000000000000000000000
deg: 5
c5: 536
c0: 1025
skew: 1.14
type: snfs
lss: 1
rlim: 730000
alim: 730000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
qintsize: 20000
Factor base limits: 730000/730000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved  special-q in [365000, 731243)
Primes: RFBsize:58789, AFBsize:58652, largePrimes:1288707 encountered
Relations: rels:1226476, finalFF:120008
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 114038 hash collisions in 1344703 relations
Msieve: matrix is 96123 x 96371 (25.5 MB)

Total sieving time: 1.53 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,730000,730000,25,25,46,46,2.2,2.2,50000
total time: 1.55 hours.
 --------- CPU info (if available) ----------

3102089944948873714259994593663261709240030517685023487311603560248802223498469606951297942226303725647<103>

727595767725356441642506603221253749877381111<45>
4263479919140776269933631073169481493401714827270904579177<58>

Number: 74449_119
N=3102089944948873714259994593663261709240030517685023487311603560248802223498469606951297942226303725647
  ( 103 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=727595767725356441642506603221253749877381111 (pp45)
 r2=4263479919140776269933631073169481493401714827270904579177 (pp58)
Version: Msieve-1.40
Total time: 1.69 hours.
Scaled time: 1.67 units (timescale=0.987).
Factorization parameters were as follows:
n: 3102089944948873714259994593663261709240030517685023487311603560248802223498469606951297942226303725647
m: 1000000000000000000000000
deg: 5
c5: 67
c0: 410
skew: 1.44
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 95333 x 95575
Total sieving time: 1.63 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 1.69 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

228113124665170349134703467583011286242415225834237151834456021181025487623010089878132800918426822379<102>

38149372465301295430054963118277813058918169<44>
5979472529270312373079165688301574540864076057469555901091<58>

SNFS difficulty: 121 digits.
Divisors found:
 r1=38149372465301295430054963118277813058918169 (pp44)
 r2=5979472529270312373079165688301574540864076057469555901091 (pp58)
Version: Msieve v. 1.44 SVN130
Total time: 0.92 hours.
Scaled time: 2.20 units (timescale=2.400).
Factorization parameters were as follows:
n: 228113124665170349134703467583011286242415225834237151834456021181025487623010089878132800918426822379
m: 1000000000000000000000000
deg: 5
c5: 67
c0: 41
skew: 0.91
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 78053 x 78278
Total sieving time: 0.86 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 0.92 hours.

12157264923779677503705120562162102877408669455504567715147187442947226381072628485040055315520075129213057573<110>

799833486774886669446684467145607740034837573<45>
15199744852895041003829511211189301714478486024060607047766140001<65>

Number: s110
N=12157264923779677503705120562162102877408669455504567715147187442947226381072628485040055315520075129213057573
  ( 110 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=799833486774886669446684467145607740034837573 (pp45)
 r2=15199744852895041003829511211189301714478486024060607047766140001 (pp65)
Version: Msieve-1.40
Total time: 2.10 hours.
Scaled time: 4.13 units (timescale=1.969).
Factorization parameters were as follows:
n: 12157264923779677503705120562162102877408669455504567715147187442947226381072628485040055315520075129213057573
m: 2000000000000000000000000
deg: 5
c5: 1675
c0: 328
skew: 0.72
type: snfs
lss: 1
rlim: 840000
alim: 840000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 840000/840000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [420000, 920001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 109064 x 109289
Total sieving time: 2.03 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,124.000,5,0,0,0,0,0,0,0,0,840000,840000,25,25,46,46,2.2,2.2,50000
total time: 2.10 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

1510628647465278088780074442873108582826769882337327979799715993558798504460665158401736961<91>

9280978564452803005420807952719117<34>
162766095942852035592368755877316356049781939213380763333<57>

11/03/09 23:20:43 v1.10 @ 조영욱-PC, starting SIQS on c91: 1510628647465278088780074442873108582826769882337327979799715993558798504460665158401736961
11/03/09 23:20:43 v1.10 @ 조영욱-PC, random seeds: 3179975179, 4127114576
11/03/09 23:20:43 v1.10 @ 조영욱-PC, ==== sieve params ====
11/03/09 23:20:43 v1.10 @ 조영욱-PC, n = 91 digits, 300 bits
11/03/09 23:20:43 v1.10 @ 조영욱-PC, factor base: 67412 primes (max prime = 1795439)
11/03/09 23:20:43 v1.10 @ 조영욱-PC, single large prime cutoff: 215452680 (120 * pmax)
11/03/09 23:20:43 v1.10 @ 조영욱-PC, double large prime range from 43 to 50 bits
11/03/09 23:20:43 v1.10 @ 조영욱-PC, double large prime cutoff: 1000076957903973
11/03/09 23:20:43 v1.10 @ 조영욱-PC, using 16 large prime slices of factor base
11/03/09 23:20:43 v1.10 @ 조영욱-PC, buckets hold 1024 elements
11/03/09 23:20:43 v1.10 @ 조영욱-PC, sieve interval: 11 blocks of size 65536
11/03/09 23:20:43 v1.10 @ 조영욱-PC, polynomial A has ~ 11 factors
11/03/09 23:20:43 v1.10 @ 조영욱-PC, using multiplier of 1
11/03/09 23:20:43 v1.10 @ 조영욱-PC, using small prime variation correction of 20 bits
11/03/09 23:20:43 v1.10 @ 조영욱-PC, using SSE2 for trial division and x128 sieve scanning
11/03/09 23:20:43 v1.10 @ 조영욱-PC, trial factoring cutoff at 96 bits
11/03/09 23:20:43 v1.10 @ 조영욱-PC, ==== sieving started ====
11/04/09 00:02:57 v1.10 @ 조영욱-PC, sieve time = 1131.6620, relation time = 624.9660, poly_time = 777.0980
11/04/09 00:02:57 v1.10 @ 조영욱-PC, 67543 relations found: 20169 full + 47374 from 802231 partial, using 353318 polys (191 A polys)
11/04/09 00:02:57 v1.10 @ 조영욱-PC, on average, sieving found 2.33 rels/poly and 324.47 rels/sec
11/04/09 00:02:57 v1.10 @ 조영욱-PC, trial division touched 22403114 sieve locations out of 509411065856
11/04/09 00:02:57 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
11/04/09 00:02:58 v1.10 @ 조영욱-PC, begin with 822400 relations
11/04/09 00:02:58 v1.10 @ 조영욱-PC, reduce to 153642 relations in 9 passes
11/04/09 00:02:59 v1.10 @ 조영욱-PC, failed to read relation 81905
11/04/09 00:02:59 v1.10 @ 조영욱-PC, recovered 153641 relations
11/04/09 00:02:59 v1.10 @ 조영욱-PC, recovered 124453 polynomials
11/04/09 00:03:00 v1.10 @ 조영욱-PC, attempting to build 67542 cycles
11/04/09 00:03:00 v1.10 @ 조영욱-PC, found 67542 cycles in 5 passes
11/04/09 00:03:00 v1.10 @ 조영욱-PC, distribution of cycle lengths:
11/04/09 00:03:00 v1.10 @ 조영욱-PC,    length 1 : 20169
11/04/09 00:03:00 v1.10 @ 조영욱-PC,    length 2 : 15486
11/04/09 00:03:00 v1.10 @ 조영욱-PC,    length 3 : 12345
11/04/09 00:03:00 v1.10 @ 조영욱-PC,    length 4 : 8239
11/04/09 00:03:00 v1.10 @ 조영욱-PC,    length 5 : 5235
11/04/09 00:03:00 v1.10 @ 조영욱-PC,    length 6 : 2848
11/04/09 00:03:00 v1.10 @ 조영욱-PC,    length 7 : 1600
11/04/09 00:03:00 v1.10 @ 조영욱-PC,    length 9+: 1620
11/04/09 00:03:00 v1.10 @ 조영욱-PC, largest cycle: 17 relations
11/04/09 00:03:00 v1.10 @ 조영욱-PC, matrix is 67412 x 67542 (16.1 MB) with weight 3671773 (54.36/col)
11/04/09 00:03:00 v1.10 @ 조영욱-PC, sparse part has weight 3671773 (54.36/col)
11/04/09 00:03:00 v1.10 @ 조영욱-PC, filtering completed in 3 passes
11/04/09 00:03:00 v1.10 @ 조영욱-PC, matrix is 61730 x 61793 (14.9 MB) with weight 3405157 (55.11/col)
11/04/09 00:03:00 v1.10 @ 조영욱-PC, sparse part has weight 3405157 (55.11/col)
11/04/09 00:03:00 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
11/04/09 00:03:00 v1.10 @ 조영욱-PC, matrix is 61682 x 61793 (10.0 MB) with weight 2620105 (42.40/col)
11/04/09 00:03:00 v1.10 @ 조영욱-PC, sparse part has weight 1998266 (32.34/col)
11/04/09 00:03:00 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
11/04/09 00:03:00 v1.10 @ 조영욱-PC, using block size 24717 for processor cache size 4096 kB
11/04/09 00:03:01 v1.10 @ 조영욱-PC, commencing Lanczos iteration
11/04/09 00:03:01 v1.10 @ 조영욱-PC, memory use: 8.9 MB
11/04/09 00:03:17 v1.10 @ 조영욱-PC, lanczos halted after 977 iterations (dim = 61681)
11/04/09 00:03:17 v1.10 @ 조영욱-PC, recovered 16 nontrivial dependencies
11/04/09 00:03:19 v1.10 @ 조영욱-PC, prp34 = 9280978564452803005420807952719117
11/04/09 00:03:20 v1.10 @ 조영욱-PC, prp57 = 162766095942852035592368755877316356049781939213380763333
11/04/09 00:03:20 v1.10 @ 조영욱-PC, Lanczos elapsed time = 19.4370 seconds.
11/04/09 00:03:20 v1.10 @ 조영욱-PC, Sqrt elapsed time = 2.8390 seconds.
11/04/09 00:03:20 v1.10 @ 조영욱-PC, SIQS elapsed time = 2556.8360 seconds.
11/04/09 00:03:20 v1.10 @ 조영욱-PC, 
11/04/09 00:03:20 v1.10 @ 조영욱-PC, 

YAFU v1.10

Core 2 Quad Q6600

294221847831507912923138279310623104215007700510333942982958894533513082682052414146690573113990857947526921112443321289867<123>

31174567399065703189714283064966059346296400375499<50>
9437880695028528118480341072386914262636733329993003874835658761941901633<73>

Number: s123
N=294221847831507912923138279310623104215007700510333942982958894533513082682052414146690573113990857947526921112443321289867
  ( 123 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=31174567399065703189714283064966059346296400375499 (pp50)
 r2=9437880695028528118480341072386914262636733329993003874835658761941901633 (pp73)
Version: Msieve-1.40
Total time: 2.51 hours.
Scaled time: 4.95 units (timescale=1.969).
Factorization parameters were as follows:
n: 294221847831507912923138279310623104215007700510333942982958894533513082682052414146690573113990857947526921112443321289867
m: 100000000000000000000000000
deg: 5
c5: 67
c0: 410
skew: 1.44
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 157655 x 157880
Total sieving time: 2.41 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 2.51 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

509538238652991184285965430122845534851877702982919855855689867384284811642128713318697751892121261<99>

4525308800973640811158291449529412591<37>
112597451591228804139139623565260342727756344221799002605550371<63>

Number: 74449_131
N=509538238652991184285965430122845534851877702982919855855689867384284811642128713318697751892121261
  ( 99 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=4525308800973640811158291449529412591 (pp37)
 r2=112597451591228804139139623565260342727756344221799002605550371 (pp63)
Version: Msieve-1.40
Total time: 3.42 hours.
Scaled time: 11.42 units (timescale=3.339).
Factorization parameters were as follows:
name: 74449_131
n: 509538238652991184285965430122845534851877702982919855855689867384284811642128713318697751892121261
m: 100000000000000000000000000
deg: 5
c5: 670
c0: 41
skew: 0.57
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1175001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178722 x 178970
Total sieving time: 3.32 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 3.42 hours.
 --------- CPU info (if available) ----------

29987749133314216840538328401109372365462907275873647359634749454350166358605722808406051213<92>

206990362108995995540706786083800799<36>
144875098665335013194730379024627109574296907971431258387<57>

Thu Nov 05 13:28:38 2009  Msieve v. 1.43
Thu Nov 05 13:28:38 2009  random seeds: b092c728 739803fc
Thu Nov 05 13:28:38 2009  factoring 29987749133314216840538328401109372365462907275873647359634749454350166358605722808406051213 (92 digits)
Thu Nov 05 13:28:39 2009  searching for 15-digit factors
Thu Nov 05 13:28:40 2009  commencing quadratic sieve (92-digit input)
Thu Nov 05 13:28:40 2009  using multiplier of 53
Thu Nov 05 13:28:40 2009  using VC8 32kb sieve core
Thu Nov 05 13:28:40 2009  sieve interval: 36 blocks of size 32768
Thu Nov 05 13:28:40 2009  processing polynomials in batches of 6
Thu Nov 05 13:28:40 2009  using a sieve bound of 1787717 (66930 primes)
Thu Nov 05 13:28:40 2009  using large prime bound of 187710285 (27 bits)
Thu Nov 05 13:28:40 2009  using double large prime bound of 780330238063215 (42-50 bits)
Thu Nov 05 13:28:40 2009  using trial factoring cutoff of 50 bits
Thu Nov 05 13:28:40 2009  polynomial 'A' values have 12 factors
Thu Nov 05 15:11:33 2009  67077 relations (17712 full + 49365 combined from 818509 partial), need 67026
Thu Nov 05 15:11:37 2009  begin with 836221 relations
Thu Nov 05 15:11:37 2009  reduce to 166378 relations in 11 passes
Thu Nov 05 15:11:37 2009  attempting to read 166378 relations
Thu Nov 05 15:11:39 2009  recovered 166378 relations
Thu Nov 05 15:11:39 2009  recovered 145981 polynomials
Thu Nov 05 15:11:40 2009  attempting to build 67077 cycles
Thu Nov 05 15:11:40 2009  found 67077 cycles in 6 passes
Thu Nov 05 15:11:40 2009  distribution of cycle lengths:
Thu Nov 05 15:11:40 2009     length 1 : 17712
Thu Nov 05 15:11:40 2009     length 2 : 12595
Thu Nov 05 15:11:40 2009     length 3 : 11833
Thu Nov 05 15:11:40 2009     length 4 : 8937
Thu Nov 05 15:11:40 2009     length 5 : 6400
Thu Nov 05 15:11:40 2009     length 6 : 4055
Thu Nov 05 15:11:40 2009     length 7 : 2510
Thu Nov 05 15:11:40 2009     length 9+: 3035
Thu Nov 05 15:11:40 2009  largest cycle: 23 relations
Thu Nov 05 15:11:40 2009  matrix is 66930 x 67077 (16.4 MB) with weight 4018873 (59.91/col)
Thu Nov 05 15:11:40 2009  sparse part has weight 4018873 (59.91/col)
Thu Nov 05 15:11:40 2009  filtering completed in 3 passes
Thu Nov 05 15:11:40 2009  matrix is 62762 x 62826 (15.4 MB) with weight 3798024 (60.45/col)
Thu Nov 05 15:11:40 2009  sparse part has weight 3798024 (60.45/col)
Thu Nov 05 15:11:40 2009  saving the first 48 matrix rows for later
Thu Nov 05 15:11:41 2009  matrix is 62714 x 62826 (9.0 MB) with weight 2879392 (45.83/col)
Thu Nov 05 15:11:41 2009  sparse part has weight 1970064 (31.36/col)
Thu Nov 05 15:11:41 2009  matrix includes 64 packed rows
Thu Nov 05 15:11:41 2009  using block size 25130 for processor cache size 6144 kB
Thu Nov 05 15:11:41 2009  commencing Lanczos iteration
Thu Nov 05 15:11:41 2009  memory use: 9.6 MB
Thu Nov 05 15:11:48 2009  linear algebra at 38.3%, ETA 0h 0m
Thu Nov 05 15:11:59 2009  lanczos halted after 993 iterations (dim = 62714)
Thu Nov 05 15:11:59 2009  recovered 18 nontrivial dependencies
Thu Nov 05 15:12:00 2009  prp36 factor: 206990362108995995540706786083800799
Thu Nov 05 15:12:00 2009  prp57 factor: 144875098665335013194730379024627109574296907971431258387
Thu Nov 05 15:12:00 2009  elapsed time 01:43:22

msieve 1.43

24680034341894226799147907831007002424011323440141068996191301321234332937934131467895911287545293909501468601748729044723549<125>

71240130359442359976794234666514935013351341284492389997<56>
346434435442088830363099162339575704342482076530326806769161585968817<69>

Number: 74449_135
N=24680034341894226799147907831007002424011323440141068996191301321234332937934131467895911287545293909501468601748729044723549
  ( 125 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=71240130359442359976794234666514935013351341284492389997 (pp56)
 r2=346434435442088830363099162339575704342482076530326806769161585968817 (pp69)
Version: Msieve-1.40
Total time: 4.73 hours.
Scaled time: 9.85 units (timescale=2.085).
Factorization parameters were as follows:
name: 74449_135
n: 24680034341894226799147907831007002424011323440141068996191301321234332937934131467895911287545293909501468601748729044723549
m: 1000000000000000000000000000
deg: 5
c5: 67
c0: 41
skew: 0.91
type: snfs
lss: 1
rlim: 1340000
alim: 1340000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1340000/1340000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [670000, 1270001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 189985 x 190228
Total sieving time: 4.52 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,136.000,5,0,0,0,0,0,0,0,0,1340000,1340000,26,26,48,48,2.3,2.3,75000
total time: 4.73 hours.
 --------- CPU info (if available) ----------

48774537291313219904007442623079158405753926520188764791281515395495425389421219582074322630262240994295077354023619753487<122>

534377673459567913254367877976611999<36>
91273531275261258156042651910406956385468817913185449840182337837085448090326006202513<86>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 48774537291313219904007442623079158405753926520188764791281515395495425389421219582074322630262240994295077354023619753487 (122 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4575964169
Step 1 took 4212ms
Step 2 took 4056ms
********** Factor found in step 2: 534377673459567913254367877976611999
Found probable prime factor of 36 digits: 534377673459567913254367877976611999
Probable prime cofactor 91273531275261258156042651910406956385468817913185449840182337837085448090326006202513 has 86 digits

Core 2 Quad Q6600

31548266493386635777617682097065069476816732823852372947596916745537332900133256110710871909329340358708498726297599035658958530509998917<137>

191509589725032360358047867623<30>
164734656570897235288033852810835623477513274568840397755400314955254385028426104714427625363827448134452979<108>

Number: 74449_140
N=31548266493386635777617682097065069476816732823852372947596916745537332900133256110710871909329340358708498726297599035658958530509998917
  ( 137 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=191509589725032360358047867623 (pp30)
 r2=164734656570897235288033852810835623477513274568840397755400314955254385028426104714427625363827448134452979 (pp108)
Version: Msieve-1.40
Total time: 7.22 hours.
Scaled time: 14.81 units (timescale=2.051).
Factorization parameters were as follows:
name: 74449_140
n: 31548266493386635777617682097065069476816732823852372947596916745537332900133256110710871909329340358708498726297599035658958530509998917
m: 10000000000000000000000000000
deg: 5
c5: 67
c0: 41
skew: 0.91
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [810000, 1710001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 239634 x 239869
Total sieving time: 6.92 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
total time: 7.22 hours.
 --------- CPU info (if available) ----------

63627730294396961063627730294396961063627730294396961063627730294396961063627730294396961063627730294396961063627730294396961063627730294397<140>

104293407448198211674022417719<30>
266908416852904564619693685732080119715284043<45>
2285742510120211041888511644779295382229835659384985236947755209441<67>

Number: 140-1
N=63627730294396961063627730294396961063627730294396961063627730294396961063627730294396961063627730294396961063627730294396961063627730294397
  ( 140 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=104293407448198211674022417719 (pp30)
 r2=266908416852904564619693685732080119715284043 (pp45)
 r3=2285742510120211041888511644779295382229835659384985236947755209441 (pp67)
Version: Msieve-1.40
Total time: 6.69 hours.
Scaled time: 12.74 units (timescale=1.905).
Factorization parameters were as follows:
n: 63627730294396961063627730294396961063627730294396961063627730294396961063627730294396961063627730294396961063627730294396961063627730294397
m: 10000000000000000000000000000
deg: 5
c5: 670
c0: 41
skew: 0.57
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 2040001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 294207 x 294432
Total sieving time: 6.17 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.32 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,142.000,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,100000
total time: 6.69 hours.
 --------- CPU info (if available) ----------

GGNFS/msieve

99560487302786486582644809814735788246936425457152388359549310276129385428030351314778327957138435828264320333796516810153455923<128>

5118133093176327142512580486229<31>
27674980031210292772854978064813<32>
702891226094754909284926680011670954449302856594259786842594019299<66>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 99560487302786486582644809814735788246936425457152388359549310276129385428030351314778327957138435828264320333796516810153455923 (128 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1716764280
Step 1 took 3338ms
Step 2 took 2186ms
********** Factor found in step 2: 5118133093176327142512580486229
Found probable prime factor of 31 digits: 5118133093176327142512580486229
Composite cofactor 19452500646285261173250463683416786680393536413987397222165417022651024930736875120889266594826087 has 98 digits

Number: 74449_142
N=19452500646285261173250463683416786680393536413987397222165417022651024930736875120889266594826087
  ( 98 digits)
Divisors found:
 r1=27674980031210292772854978064813
 r2=702891226094754909284926680011670954449302856594259786842594019299
Version: 
Total time: 1.87 hours.
Scaled time: 4.47 units (timescale=2.388).
Factorization parameters were as follows:
name: 74449_142
n: 19452500646285261173250463683416786680393536413987397222165417022651024930736875120889266594826087
skew: 5805.73
# norm 4.06e+13
c5: 35280
c4: 259186874
c3: -2930668561767
c2: 524670497488280
c1: -23868613045324035750
c0: -31419060311344238082400
# alpha -6.08
Y1: 13298192977
Y0: -3534166219473880023
# Murphy_E 4.66e-09
# M 8517735180229158762591976824665689918174103680536278391078828022506025160905842757400524632744508
type: gnfs
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [500000, 850001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4177363
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 140601 x 140849
Polynomial selection time: 0.13 hours.
Total sieving time: 1.54 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,97,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000
total time: 1.87 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GMP-ECM v6.2.3 / GGNFS / Msieve v1.39

Core 2 Quad Q6700

583910535046342049640391332785757616154332420151820936864626808268428880468476996626812295569863964361237<105>

423626916383930124653960797887297047400541<42>
1378360327126022364048330167071772464929240931307881983759154457<64>

Number: 74449_144
N=583910535046342049640391332785757616154332420151820936864626808268428880468476996626812295569863964361237
  ( 105 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=423626916383930124653960797887297047400541 (pp42)
 r2=1378360327126022364048330167071772464929240931307881983759154457 (pp64)
Version: Msieve-1.40
Total time: 15.07 hours.
Scaled time: 29.55 units (timescale=1.961).
Factorization parameters were as follows:
name: 74449_144
n: 583910535046342049640391332785757616154332420151820936864626808268428880468476996626812295569863964361237
m: 100000000000000000000000000000
deg: 5
c5: 67
c0: 410
skew: 1.44
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2480001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 353335 x 353583
Total sieving time: 15.07 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 15.07 hours.
 --------- CPU info (if available) ----------

132228142885336491020327610025656206828498125123347148213933293862245904874679297414643773435958160647325833826721926189066508782316952832050523<144>

6082655084179705302299740326973200613<37>
75145263081390269628363377895509391047<38>
289287120475685604509159180322914778804255865863282240870880979061193<69>

Number: 74449_145
N=132228142885336491020327610025656206828498125123347148213933293862245904874679297414643773435958160647325833826721926189066508782316952832050523
  ( 144 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=6082655084179705302299740326973200613 (pp37)
 r2=75145263081390269628363377895509391047 (pp38)
 r3=289287120475685604509159180322914778804255865863282240870880979061193 (pp69)
Version: Msieve-1.40
Total time: 9.60 hours.
Scaled time: 9.62 units (timescale=1.002).
Factorization parameters were as follows:
n: 132228142885336491020327610025656206828498125123347148213933293862245904874679297414643773435958160647325833826721926189066508782316952832050523
m: 100000000000000000000000000000
deg: 5
c5: 67
c0: 41
skew: 0.91
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1960000/1960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [980000, 2280001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 317816 x 318042
Total sieving time: 9.11 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.24 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1960000,1960000,26,26,49,49,2.3,2.3,100000
total time: 9.60 hours.
 --------- CPU info (if available) ----------

GGNFS, Msieve

6101247588338546677929745539946244193317898526731142823774618663407511729661540242208206561765864438885995914092862234746612155140462449<136>

552752232810877924907944618081429138807679<42>
11037942908547355150244790836990039717387364320115120207780436833145912926736258397877527823631<95>

Sieving time: ~5 hours 

Msieve v. 1.43
Thu Nov  5 15:55:15 2009
random seeds: 22e75df5 c52ae233
factoring 6101247588338546677929745539946244193317898526731142823774618663407511729661540242208206561765864438885995914092862234746612155140462449 (136 digits)
searching for 15-digit factors
commencing number field sieve (136-digit input)
R0:  100000000000000000000000000000
R1: -1
A0:  41
A1:  0
A2:  0
A3:  0
A4:  0
A5:  670
skew 0.57, size 1.339951e-10, alpha 0.971714, combined = 1.477459e-09

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 2463214 hash collisions in 18330753 relations
added 379270 free relations
commencing duplicate removal, pass 2
found 2223391 duplicates and 16486632 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 344.5 MB
reading all ideals from disk
memory use: 435.9 MB
keeping 12885881 ideals with weight <= 200, target excess is 116169
commencing in-memory singleton removal
begin with 16486632 relations and 12885881 unique ideals
reduce to 11845160 relations and 7680342 ideals in 12 passes
max relations containing the same ideal: 166
removing 1545647 relations and 1145647 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 10299513 relations and 7680342 unique ideals
reduce to 10195507 relations and 6426531 ideals in 7 passes
max relations containing the same ideal: 147
removing 1178313 relations and 778313 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 9017194 relations and 6426531 unique ideals
reduce to 8952428 relations and 5581283 ideals in 6 passes
max relations containing the same ideal: 136
removing 1045750 relations and 645750 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 7906678 relations and 5581283 unique ideals
reduce to 7837859 relations and 4863952 ideals in 5 passes
max relations containing the same ideal: 122
removing 954446 relations and 554446 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 6883413 relations and 4863952 unique ideals
reduce to 6814170 relations and 4236837 ideals in 5 passes
max relations containing the same ideal: 110
removing 927971 relations and 527971 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 5886199 relations and 4236837 unique ideals
reduce to 5819767 relations and 3638595 ideals in 5 passes
max relations containing the same ideal: 98
removing 899906 relations and 499906 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 4919861 relations and 3638595 unique ideals
reduce to 4851525 relations and 3065913 ideals in 7 passes
max relations containing the same ideal: 92
removing 875905 relations and 475905 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3975620 relations and 3065913 unique ideals
reduce to 3901513 relations and 2509651 ideals in 5 passes
max relations containing the same ideal: 77
removing 854371 relations and 454371 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 3047142 relations and 2509651 unique ideals
reduce to 2976954 relations and 1979149 ideals in 8 passes
max relations containing the same ideal: 60
removing 853727 relations and 453727 ideals in 400000 cliques
commencing in-memory singleton removal
begin with 2123227 relations and 1979149 unique ideals
reduce to 2056703 relations and 1453401 ideals in 6 passes
max relations containing the same ideal: 45
removing 649792 relations and 350445 ideals in 299347 cliques
commencing in-memory singleton removal
begin with 1406911 relations and 1453401 unique ideals
reduce to 1352520 relations and 1044337 ideals in 6 passes
max relations containing the same ideal: 35
removing 361208 relations and 202857 ideals in 158351 cliques
commencing in-memory singleton removal
begin with 991312 relations and 1044337 unique ideals
reduce to 943024 relations and 789269 ideals in 7 passes
max relations containing the same ideal: 28
removing 67885 relations and 48887 ideals in 18998 cliques
commencing in-memory singleton removal
begin with 875139 relations and 789269 unique ideals
reduce to 870935 relations and 736093 ideals in 5 passes
max relations containing the same ideal: 27
relations with 0 large ideals: 2892
relations with 1 large ideals: 12725
relations with 2 large ideals: 78477
relations with 3 large ideals: 199963
relations with 4 large ideals: 264046
relations with 5 large ideals: 196441
relations with 6 large ideals: 93686
relations with 7+ large ideals: 22705
commencing 2-way merge
reduce to 716617 relation sets and 581775 unique ideals
commencing full merge
memory use: 59.6 MB
found 334086 cycles, need 315975
weight of 315975 cycles is about 22212740 (70.30/cycle)
distribution of cycle lengths:
1 relations: 17641
2 relations: 28997
3 relations: 35315
4 relations: 35873
5 relations: 34500
6 relations: 30819
7 relations: 27240
8 relations: 23611
9 relations: 20033
10+ relations: 61946
heaviest cycle: 18 relations
commencing cycle optimization
start with 1977808 relations
pruned 109779 relations
memory use: 55.2 MB
distribution of cycle lengths:
1 relations: 17641
2 relations: 30199
3 relations: 38011
4 relations: 38567
5 relations: 37162
6 relations: 32764
7 relations: 28595
8 relations: 23952
9 relations: 19883
10+ relations: 49201
heaviest cycle: 17 relations
RelProcTime: 483

commencing linear algebra
read 315975 cycles
cycles contain 820073 unique relations
read 820073 relations
using 20 quadratic characters above 134195000
building initial matrix
memory use: 99.5 MB
read 315975 cycles
matrix is 315792 x 315975 (91.9 MB) with weight 27669770 (87.57/col)
sparse part has weight 20606850 (65.22/col)
filtering completed in 2 passes
matrix is 315546 x 315729 (91.8 MB) with weight 27657347 (87.60/col)
sparse part has weight 20599994 (65.25/col)
read 315729 cycles
matrix is 315546 x 315729 (91.8 MB) with weight 27657347 (87.60/col)
sparse part has weight 20599994 (65.25/col)
saving the first 48 matrix rows for later
matrix is 315498 x 315729 (86.7 MB) with weight 21774880 (68.97/col)
sparse part has weight 19583486 (62.03/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 90.9 MB
linear algebra at 1.9%, ETA 0h 6m315729 dimensions (1.9%, ETA 0h 6m)
linear algebra completed 313716 of 315729 dimensions (99.4%, ETA 0h 0m)
lanczos halted after 4990 iterations (dim = 315494)
recovered 34 nontrivial dependencies
BLanczosTime: 435

commencing square root phase
reading relations for dependency 1
read 157809 cycles
cycles contain 410208 unique relations
read 410208 relations
multiplying 410208 relations
multiply complete, coefficients have about 12.09 million bits
initial square root is modulo 8837471
sqrtTime: 48
prp42 factor: 552752232810877924907944618081429138807679
prp95 factor: 11037942908547355150244790836990039717387364320115120207780436833145912926736258397877527823631
elapsed time 00:16:07

3275879863512470866831524279102943957767823250262292240603618506109442210271627224143756567808563929798129769547<112>

658356174664422161569086775878853672793637262114046597<54>
4975847405368765597872979135265543799568390928601303262351<58>

Number: 74449_149
N=3275879863512470866831524279102943957767823250262292240603618506109442210271627224143756567808563929798129769547
  ( 112 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=658356174664422161569086775878853672793637262114046597
 r2=4975847405368765597872979135265543799568390928601303262351
Version: 
Total time: 9.16 hours.
Scaled time: 21.88 units (timescale=2.390).
Factorization parameters were as follows:
n: 3275879863512470866831524279102943957767823250262292240603618506109442210271627224143756567808563929798129769547
m: 1000000000000000000000000000000
deg: 5
c5: 67
c0: 410
skew: 1.44
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 1900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7095270
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 381891 x 382139
Total sieving time: 8.45 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,49,49,2.4,2.4,100000
total time: 9.16 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

181497747633882346312517962380201339855560835063081505846794519711730643938420467789908245811486286339700685380221257507780590325469086766689<141>

20717939788962621561499247182422137<35>
8760414861837486390460724581872136579955758254687113253234500957057212238208046927618976198274194583616297<106>

Number: 74449_150
N=181497747633882346312517962380201339855560835063081505846794519711730643938420467789908245811486286339700685380221257507780590325469086766689
  ( 141 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=20717939788962621561499247182422137 (pp35)
 r2=8760414861837486390460724581872136579955758254687113253234500957057212238208046927618976198274194583616297 (pp106)
Version: Msieve-1.40
Total time: 17.61 hours.
Scaled time: 36.48 units (timescale=2.071).
Factorization parameters were as follows:
name: 74449_150
n: 181497747633882346312517962380201339855560835063081505846794519711730643938420467789908245811486286339700685380221257507780590325469086766689
m: 1000000000000000000000000000000
deg: 5
c5: 67
c0: 41
skew: 0.91
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 : 448148 x 448396
Total sieving time: 16.69 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 17.61 hours.
 --------- CPU info (if available) ----------

12032765833238956496135533051537246750802755299151411853583075126019010073293713788119609205211450801525502233723112988192573400589<131>

13258140745590103120897332331500375538360937115782994093187<59>
907575659674699981238661788307594336802623003262472252087994176094758447<72>

Number: 74449_154
N=12032765833238956496135533051537246750802755299151411853583075126019010073293713788119609205211450801525502233723112988192573400589
  ( 131 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=13258140745590103120897332331500375538360937115782994093187
 r2=907575659674699981238661788307594336802623003262472252087994176094758447
Version: 
Total time: 14.37 hours.
Scaled time: 34.37 units (timescale=2.392).
Factorization parameters were as follows:
n: 12032765833238956496135533051537246750802755299151411853583075126019010073293713788119609205211450801525502233723112988192573400589
m: 10000000000000000000000000000000
deg: 5
c5: 67
c0: 410
skew: 1.44
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, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8669259
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 493382 x 493630
Total sieving time: 13.16 hours.
Total relation processing time: 0.56 hours.
Matrix solve time: 0.53 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 14.37 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

142998326196084153152602303181725148518916237710184541230536160066661148293488886572640010918329062497309<105>

513981777262743485425131597124856197<36>
278216723864481525034470316274854133774845275372355082172887637024697<69>

Number: 74449_155
N=142998326196084153152602303181725148518916237710184541230536160066661148293488886572640010918329062497309
  ( 105 digits)
Divisors found:
 r1=513981777262743485425131597124856197
 r2=278216723864481525034470316274854133774845275372355082172887637024697
Version: 
Total time: 4.48 hours.
Scaled time: 10.70 units (timescale=2.388).
Factorization parameters were as follows:
name: 74449_155
n: 142998326196084153152602303181725148518916237710184541230536160066661148293488886572640010918329062497309
skew: 16634.07
# norm 6.75e+14
c5: 36000
c4: 2507890170
c3: -33754989641093
c2: -411802020026744711
c1: 5598836560479622272525
c0: 714646846507642901515845
# alpha -6.87
Y1: 30603097547
Y0: -83138744797431074138
# Murphy_E 2.01e-09
# M 23638809882836740827105361457170598519475955087418326994978122984763654287971205979734490448061304881821
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1000000, 1700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 6901969
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 284502 x 284750
Polynomial selection time: 0.34 hours.
Total sieving time: 3.45 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,27,27,50,50,2.6,2.6,50000
total time: 4.48 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)

GGNFS / Msieve v1.39

Core 2 Quad Q6700

49906250440729710419014031070881432285557829279347790059994308543147408208496821187368869362262186554536134835916248987737909<125>

977449831415406822625837597217701697963<39>
51057608111162517212283211587392025819225649128369502205593083124860984531588715088543<86>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM]
Input number is 49906250440729710419014031070881432285557829279347790059994308543147408208496821187368869362262186554536134835916248987737909 (125 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4701809730
Step 1 took 3299ms
********** Factor found in step 1: 977449831415406822625837597217701697963
Found probable prime factor of 39 digits: 977449831415406822625837597217701697963
Probable prime cofactor 51057608111162517212283211587392025819225649128369502205593083124860984531588715088543 has 86 digits

Core 2 Quad Q6700

24388320126912700619412278763299846909289095649545527020097226863181940482234364839456257636794737384518876531<110>

896016956955767255596724244933401<33>
13950563607253532674032704293646041067<38>
1951074733192853860565440794148429905793<40>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 24388320126912700619412278763299846909289095649545527020097226863181940482234364839456257636794737384518876531 (110 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5977138773
Step 1 took 3494ms
Step 2 took 3760ms
********** Factor found in step 2: 896016956955767255596724244933401
Found probable prime factor of 33 digits: 896016956955767255596724244933401
Composite cofactor 27218592167912123174017720102720354477066164208529016911587995682062219201131 has 77 digits

11/05/09 08:01:26 v1.10 @ 조영욱-PC, starting SIQS on c77: 27218592167912123174017720102720354477066164208529016911587995682062219201131
11/05/09 08:01:26 v1.10 @ 조영욱-PC, random seeds: 1415046673, 1328948052
11/05/09 08:01:27 v1.10 @ 조영욱-PC, ==== sieve params ====
11/05/09 08:01:27 v1.10 @ 조영욱-PC, n = 77 digits, 258 bits
11/05/09 08:01:27 v1.10 @ 조영욱-PC, factor base: 32200 primes (max prime = 805451)
11/05/09 08:01:27 v1.10 @ 조영욱-PC, single large prime cutoff: 68463335 (85 * pmax)
11/05/09 08:01:27 v1.10 @ 조영욱-PC, using 12 large prime slices of factor base
11/05/09 08:01:27 v1.10 @ 조영욱-PC, buckets hold 1024 elements
11/05/09 08:01:27 v1.10 @ 조영욱-PC, sieve interval: 5 blocks of size 65536
11/05/09 08:01:27 v1.10 @ 조영욱-PC, polynomial A has ~ 10 factors
11/05/09 08:01:27 v1.10 @ 조영욱-PC, using multiplier of 11
11/05/09 08:01:27 v1.10 @ 조영욱-PC, using small prime variation correction of 18 bits
11/05/09 08:01:27 v1.10 @ 조영욱-PC, using SSE2 for trial division and x64 sieve scanning
11/05/09 08:01:27 v1.10 @ 조영욱-PC, trial factoring cutoff at 94 bits
11/05/09 08:01:27 v1.10 @ 조영욱-PC, ==== sieving started ====
11/05/09 08:04:45 v1.10 @ 조영욱-PC, sieve time = 101.5450, relation time = 27.2180, poly_time = 69.2010
11/05/09 08:04:45 v1.10 @ 조영욱-PC, 32279 relations found: 16966 full + 15313 from 161385 partial, using 73331 polys (143 A polys)
11/05/09 08:04:45 v1.10 @ 조영욱-PC, on average, sieving found 2.43 rels/poly and 899.51 rels/sec
11/05/09 08:04:45 v1.10 @ 조영욱-PC, trial division touched 1264882 sieve locations out of 48058204160
11/05/09 08:04:45 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
11/05/09 08:04:45 v1.10 @ 조영욱-PC, begin with 178351 relations
11/05/09 08:04:45 v1.10 @ 조영욱-PC, reduce to 45610 relations in 2 passes
11/05/09 08:04:45 v1.10 @ 조영욱-PC, recovered 45610 relations
11/05/09 08:04:45 v1.10 @ 조영욱-PC, recovered 33913 polynomials
11/05/09 08:04:45 v1.10 @ 조영욱-PC, attempting to build 32279 cycles
11/05/09 08:04:45 v1.10 @ 조영욱-PC, found 32279 cycles in 1 passes
11/05/09 08:04:45 v1.10 @ 조영욱-PC, distribution of cycle lengths:
11/05/09 08:04:45 v1.10 @ 조영욱-PC,    length 1 : 16966
11/05/09 08:04:45 v1.10 @ 조영욱-PC,    length 2 : 15313
11/05/09 08:04:45 v1.10 @ 조영욱-PC, largest cycle: 2 relations
11/05/09 08:04:45 v1.10 @ 조영욱-PC, matrix is 32200 x 32279 (4.7 MB) with weight 967198 (29.96/col)
11/05/09 08:04:45 v1.10 @ 조영욱-PC, sparse part has weight 967198 (29.96/col)
11/05/09 08:04:45 v1.10 @ 조영욱-PC, filtering completed in 4 passes
11/05/09 08:04:45 v1.10 @ 조영욱-PC, matrix is 27821 x 27885 (4.0 MB) with weight 819515 (29.39/col)
11/05/09 08:04:45 v1.10 @ 조영욱-PC, sparse part has weight 819515 (29.39/col)
11/05/09 08:04:45 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
11/05/09 08:04:45 v1.10 @ 조영욱-PC, matrix is 27773 x 27885 (2.8 MB) with weight 596633 (21.40/col)
11/05/09 08:04:45 v1.10 @ 조영욱-PC, sparse part has weight 452964 (16.24/col)
11/05/09 08:04:45 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
11/05/09 08:04:45 v1.10 @ 조영욱-PC, commencing Lanczos iteration
11/05/09 08:04:45 v1.10 @ 조영욱-PC, memory use: 3.9 MB
11/05/09 08:04:52 v1.10 @ 조영욱-PC, lanczos halted after 441 iterations (dim = 27773)
11/05/09 08:04:52 v1.10 @ 조영욱-PC, recovered 18 nontrivial dependencies
11/05/09 08:04:52 v1.10 @ 조영욱-PC, prp38 = 13950563607253532674032704293646041067
11/05/09 08:04:52 v1.10 @ 조영욱-PC, prp40 = 1951074733192853860565440794148429905793
11/05/09 08:04:52 v1.10 @ 조영욱-PC, Lanczos elapsed time = 7.2070 seconds.
11/05/09 08:04:52 v1.10 @ 조영욱-PC, Sqrt elapsed time = 0.2030 seconds.
11/05/09 08:04:52 v1.10 @ 조영욱-PC, SIQS elapsed time = 205.6860 seconds.
11/05/09 08:04:52 v1.10 @ 조영욱-PC, 
11/05/09 08:04:52 v1.10 @ 조영욱-PC, 

GMP-ECM v6.2.3 / YAFU v1.10

Core 2 Quad Q6600

1956317284262773736098062881121294614246555144986523186725985290723465938887825663867140407665727444773244943801461623492925575269<130>

6458162601207874684709389465413979594157825818758560151613079<61>
302921652034106781572164003165353167420092868163923517757663653696611<69>

Number: 74449_160
N=1956317284262773736098062881121294614246555144986523186725985290723465938887825663867140407665727444773244943801461623492925575269
  ( 130 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=6458162601207874684709389465413979594157825818758560151613079 (pp61)
 r2=302921652034106781572164003165353167420092868163923517757663653696611 (pp69)
Version: Msieve-1.40
Total time: 27.61 hours.
Scaled time: 91.71 units (timescale=3.322).
Factorization parameters were as follows:
name: 74449_160
n: 1956317284262773736098062881121294614246555144986523186725985290723465938887825663867140407665727444773244943801461623492925575269
m: 100000000000000000000000000000000
deg: 5
c5: 67
c0: 41
skew: 0.91
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3250001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 621450 x 621698
Total sieving time: 26.76 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.72 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 27.61 hours.
 --------- CPU info (if available) ----------

92483609042652474194535864343706609135442894008901028868852650839468327428630927857786325232318759223661128228852786657681182359<128>

75535187214103326538317201830040895523<38>
1224377835729844775852488587301078768602817876340329293496172248138770697175289478200468733<91>

Sieving took ~50 Core2 2,66Ghz-hours.

Msieve v. 1.43
Thu Nov 19 23:37:53 2009
random seeds: 33e3b9eb 433b3587
factoring 92483609042652474194535864343706609135442894008901028868852650839468327428630927857786325232318759223661128228852786657681182359 (128 digits)
searching for 15-digit factors
commencing number field sieve (128-digit input)
R0: -10000000000000000000000000000000000000000
R1:  1
A0:  41
A1:  0
A2:  0
A3:  0
A4:  670
skew 0.49, size 6.343425e-17, alpha -0.256694, combined = 2.982526e-10

commencing relation filtering
estimated available RAM is 8010.2 MB
commencing duplicate removal, pass 1
found 954666 hash collisions in 4340988 relations
added 1374 free relations
commencing duplicate removal, pass 2
found 962823 duplicates and 3379539 unique relations
memory use: 22.6 MB
reading ideals above 100000
commencing singleton removal, initial pass
memory use: 94.1 MB
reading all ideals from disk
memory use: 120.5 MB
keeping 3494492 ideals with weight <= 200, target excess is 20944
commencing in-memory singleton removal
begin with 3379539 relations and 3494492 unique ideals
reduce to 2114129 relations and 1996280 ideals in 11 passes
max relations containing the same ideal: 148
removing 238747 relations and 191970 ideals in 46777 cliques
commencing in-memory singleton removal
begin with 1875382 relations and 1996280 unique ideals
reduce to 1859093 relations and 1787574 ideals in 7 passes
max relations containing the same ideal: 135
removing 178875 relations and 132098 ideals in 46777 cliques
commencing in-memory singleton removal
begin with 1680218 relations and 1787574 unique ideals
reduce to 1669207 relations and 1644169 ideals in 6 passes
max relations containing the same ideal: 128
relations with 0 large ideals: 1163
relations with 1 large ideals: 16
relations with 2 large ideals: 354
relations with 3 large ideals: 4469
relations with 4 large ideals: 29966
relations with 5 large ideals: 168469
relations with 6 large ideals: 284122
relations with 7+ large ideals: 1180648
commencing 2-way merge
reduce to 1229772 relation sets and 1204734 unique ideals
commencing full merge
memory use: 153.3 MB
found 628615 cycles, need 624934
weight of 624934 cycles is about 43940256 (70.31/cycle)
distribution of cycle lengths:
1 relations: 41923
2 relations: 67759
3 relations: 78031
4 relations: 75883
5 relations: 67754
6 relations: 59751
7 relations: 50497
8 relations: 41772
9 relations: 33672
10+ relations: 107892
heaviest cycle: 24 relations
commencing cycle optimization
start with 3747573 relations
pruned 139208 relations
memory use: 109.3 MB
distribution of cycle lengths:
1 relations: 41923
2 relations: 69513
3 relations: 82026
4 relations: 78704
5 relations: 70580
6 relations: 61436
7 relations: 51233
8 relations: 41576
9 relations: 33373
10+ relations: 94570
heaviest cycle: 23 relations
RelProcTime: 129

commencing linear algebra
read 624934 cycles
cycles contain 1653741 unique relations
read 1653741 relations
using 20 quadratic characters above 33554250
building initial matrix
memory use: 212.7 MB
read 624934 cycles
matrix is 624757 x 624934 (186.0 MB) with weight 56594097 (90.56/col)
sparse part has weight 41878845 (67.01/col)
filtering completed in 2 passes
matrix is 624708 x 624885 (186.0 MB) with weight 56592419 (90.56/col)
sparse part has weight 41878378 (67.02/col)
read 624885 cycles
matrix is 624708 x 624885 (186.0 MB) with weight 56592419 (90.56/col)
sparse part has weight 41878378 (67.02/col)
saving the first 48 matrix rows for later
matrix is 624660 x 624885 (177.1 MB) with weight 44687252 (71.51/col)
sparse part has weight 40186863 (64.31/col)
matrix includes 64 packed rows
using block size 65536 for processor cache size 4096 kB
commencing Lanczos iteration (4 threads)
memory use: 186.9 MB
linear algebra at 0.2%, ETA 0h27m624885 dimensions (0.2%, ETA 0h27m)
linear algebra completed 624534 of 624885 dimensions (99.9%, ETA 0h 0m)
lanczos halted after 9879 iterations (dim = 624658)
recovered 37 nontrivial dependencies
BLanczosTime: 1716

commencing square root phase
reading relations for dependency 1
read 312907 cycles
cycles contain 828596 unique relations
read 828596 relations
multiplying 828596 relations
multiply complete, coefficients have about 25.82 million bits
initial square root is modulo 26105269
reading relations for dependency 2
read 312740 cycles
cycles contain 828130 unique relations
read 828130 relations
multiplying 828130 relations
multiply complete, coefficients have about 25.81 million bits
initial square root is modulo 25855117
reading relations for dependency 3
read 312584 cycles
cycles contain 827416 unique relations
read 827416 relations
multiplying 827416 relations
multiply complete, coefficients have about 25.79 million bits
initial square root is modulo 25473181
sqrtTime: 243
prp38 factor: 75535187214103326538317201830040895523
prp91 factor: 1224377835729844775852488587301078768602817876340329293496172248138770697175289478200468733
elapsed time 00:34:49

2378272387441159943787579809674315119671471841787381738630704348440332517976367071789394396009329927079328872830225783241414880388872382968587991286293945237971<160>

10965272962460119234911069404341287975741259<44>
216891307273720750758081653250952572647618179283737370490732853103987208380893592346709082214421115917317056152162969<117>

Number: 74449_164
N=2378272387441159943787579809674315119671471841787381738630704348440332517976367071789394396009329927079328872830225783241414880388872382968587991286293945237971
  ( 160 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=10965272962460119234911069404341287975741259 (pp44)
 r2=216891307273720750758081653250952572647618179283737370490732853103987208380893592346709082214421115917317056152162969 (pp117)
Version: Msieve v. 1.43
Total time: 44.81 hours.
Scaled time: 77.93 units (timescale=1.739).
Factorization parameters were as follows:
n: 2378272387441159943787579809674315119671471841787381738630704348440332517976367071789394396009329927079328872830225783241414880388872382968587991286293945237971
m: 1000000000000000000000000000000000
deg: 5
c5: 67
c0: 410
skew: 1.44
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 794493 x 794718
Total sieving time: 43.79 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.80 hours.
Time per square root: 0.13 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: 44.81 hours.

GGNFS, Msieve

21500225265668832778209732491679555951323094270407199545497962211634757197950504508122504681536277486547015682731062252501472455955612542806915181492273<152>

9099568540339976268577524952845344061739489817<46>
98953310001994328393191015800849486407545328609<47>
23877666584598768009724339692120824825964814162219197525241<59>

Number: 74449_167
N=21500225265668832778209732491679555951323094270407199545497962211634757197950504508122504681536277486547015682731062252501472455955612542806915181492273
  ( 152 digits)
SNFS difficulty: 168 digits.
Divisors found:
 r1=9099568540339976268577524952845344061739489817 (pp46)
 r2=98953310001994328393191015800849486407545328609 (pp47)
 r3=23877666584598768009724339692120824825964814162219197525241 (pp59)
Version: Msieve-1.40
Total time: 70.12 hours.
Scaled time: 230.47 units (timescale=3.287).
Factorization parameters were as follows:
name: 74449_167
n: 21500225265668832778209732491679555951323094270407199545497962211634757197950504508122504681536277486547015682731062252501472455955612542806915181492273
m: 1000000000000000000000000000000000
deg: 5
c5: 6700
c0: 41
skew: 0.36
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2300000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 984373 x 984621
Total sieving time: 67.85 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.86 hours.
Time per square root: 0.30 hours.
Prototype def-par.txt line would be:
snfs,168.000,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 70.12 hours.
 --------- CPU info (if available) ----------

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

11401290755877267398192618669431501056959760549664778626454474981204090967583638806840722871171358270140241351465590831678705441852951598668219<143>

393709281981091427546109643615725703166194511<45>
28958653701298396617102716781367774305361510966912757637438904261283423247406078729979338914793429<98>

Number: 74449_171
N=11401290755877267398192618669431501056959760549664778626454474981204090967583638806840722871171358270140241351465590831678705441852951598668219
  ( 143 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=393709281981091427546109643615725703166194511 (pp45)
 r2=28958653701298396617102716781367774305361510966912757637438904261283423247406078729979338914793429 (pp98)
Version: Msieve-1.40
Total time: 96.23 hours.
Scaled time: 304.00 units (timescale=3.159).
Factorization parameters were as follows:
name: 74449_171
n: 11401290755877267398192618669431501056959760549664778626454474981204090967583638806840722871171358270140241351465590831678705441852951598668219
m: 10000000000000000000000000000000000
deg: 5
c5: 670
c0: 41
skew: 0.57
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor 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, 6950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1061306 x 1061554
Total sieving time: 93.62 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.22 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 96.23 hours.
 --------- CPU info (if available) ----------

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

6749105762127953200366252520710156541201161276042038739202173702861366752261331497092488592412652134818320626300325464793409932329575003<136>

7748540997560016413746956086933530711066410398243<49>
871016332526758102601491761865579110057845553254870898326576925805770744541460640073321<87>

Number: 74449_172
N = 6749105762127953200366252520710156541201161276042038739202173702861366752261331497092488592412652134818320626300325464793409932329575003 (136 digits)
SNFS difficulty: 174 digits.
Divisors found:
r1=7748540997560016413746956086933530711066410398243 (pp49)
r2=871016332526758102601491761865579110057845553254870898326576925805770744541460640073321 (pp87)
Version: Msieve v. 1.48
Total time: 19.65 hours.
Factorization parameters were as follows:
n: 6749105762127953200366252520710156541201161276042038739202173702861366752261331497092488592412652134818320626300325464793409932329575003
m: 10000000000000000000000000000000000
deg: 5
c5: 6700
c0: 41
skew: 0.36
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 12185328
Relations: 1662248 relations
Pruned matrix : 1070054 x 1070284
Polynomial selection time: 0.00 hours.
Total sieving time: 18.87 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.67 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 19.65 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.41GHz

GGNFS

Pentium Core 2 i7 3.4 GHz
Windows 7

318369596392831248253646588366106885987595390442530851253710410136660260437273529543016471459463150156222287485226932902329341422298663<135>

508859811837407717089412470611321027235247810485530901175897<60>
625652859563131652848139201280984280614655042817274560079985512043889252479<75>

Number: 74449_173
N=318369596392831248253646588366106885987595390442530851253710410136660260437273529543016471459463150156222287485226932902329341422298663
  ( 135 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=508859811837407717089412470611321027235247810485530901175897 (pp60)
 r2=625652859563131652848139201280984280614655042817274560079985512043889252479 (pp75)
Version: Msieve-1.40
Total time: 164.17 hours.
Scaled time: 325.87 units (timescale=1.985).
Factorization parameters were as follows:
name: 74449_173
n: 318369596392831248253646588366106885987595390442530851253710410136660260437273529543016471459463150156222287485226932902329341422298663
m: 10000000000000000000000000000000000
deg: 5
c5: 67000
c0: 41
skew: 0.23
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2850000, 9350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1244819 x 1245067
Total sieving time: 159.72 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 4.07 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 164.17 hours.
 --------- CPU info (if available) ----------

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

54666864624491882800150180984366124089325453810349374763318571226094483965036371796094554391714243425860372359803506728966181<125>

43208202561931514058707550356766348076225213528987<50>
1265196453060882384088604849566593098669143344533647315649638394755738720063<76>

N = 54666864624491882800150180984366124089325453810349374763318571226094483965036371796094554391714243425860372359803506728966181 (125 digits)
Divisors found:
r1=43208202561931514058707550356766348076225213528987 (pp50)
r2=1265196453060882384088604849566593098669143344533647315649638394755738720063 (pp76)
Version: Msieve v. 1.47
Total time: 26.01 hours.
Factorization parameters were as follows:
n: 54666864624491882800150180984366124089325453810349374763318571226094483965036371796094554391714243425860372359803506728966181
Y0: -2146385657635522303721869
Y1: 21246212646863
c0: -116465662624015118661983352540
c1: -19495623849703605529665117
c2: -104961035353832181325
c3: 2343930215242391
c4: 1153270166
c5: 1200
skew: 213988.27 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11351467
Relations: 1630998 relations
Pruned matrix : 961895 x 962120
Polynomial selection time: 0.00 hours.
Total sieving time: 24.09 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.75 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 26.01 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

106349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207<177>

381496638149806557062385644326745051<36>
803770627877673149683896774769690484334047<42>
2540492572298568949029546317256747678065197<43>
136519118946285151795581433335283513926057235634807181623<57>

Number: 74449_176
N=106349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207
  ( 177 digits)
SNFS difficulty: 177 digits.
Divisors found:
 r1=381496638149806557062385644326745051 (pp36)
 r2=803770627877673149683896774769690484334047 (pp42)
 r3=2540492572298568949029546317256747678065197 (pp43)
 r4=136519118946285151795581433335283513926057235634807181623 (pp57)
Version: Msieve-1.40
Total time: 151.29 hours.
Scaled time: 507.89 units (timescale=3.357).
Factorization parameters were as follows:
name: 74449_176
n: 106349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207
m: 100000000000000000000000000000000000
deg: 5
c5: 670
c0: 41
skew: 0.57
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3200000, 8900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1407232 x 1407479
Total sieving time: 146.77 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 3.89 hours.
Time per square root: 0.46 hours.
Prototype def-par.txt line would be:
snfs,177.000,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 151.29 hours.
 --------- CPU info (if available) ----------

1327468427179387889781842707701047813219909890609691053184956887763212589049476886379634400599684315962049865391035701<118>

22758430372083446855719889404943<32>
58328645933672237511735506021370981038299449338001585648578106455857959995279721987707<86>

GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 1327468427179387889781842707701047813219909890609691053184956887763212589049476886379634400599684315962049865391035701 (118 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3389415600
Step 1 took 35225ms
Step 2 took 12183ms
********** Factor found in step 2: 22758430372083446855719889404943
Found probable prime factor of 32 digits: 22758430372083446855719889404943
Probable prime cofactor 58328645933672237511735506021370981038299449338001585648578106455857959995279721987707 has 86 digits

GMP-ECM

3777071631332127270537423280427393207054358724862132766526671461896161010622122150806680424000716115389641690564132751907289<124>

1012544678533012451313564305289415831291<40>
3730276511654178526019785130871777978504206319455762473797164409516529593402292728379<85>

Sieving ~4 cpu-days

Wed Apr 14 12:40:28 2010  Msieve v. 1.42
Wed Apr 14 12:40:28 2010  random seeds: 041d7b64 a75d1368
Wed Apr 14 12:40:28 2010  factoring 3777071631332127270537423280427393207054358724862132766526671461896161010622122150806680424000716115389641690564132751907289 (124 digits)
Wed Apr 14 12:40:29 2010  searching for 15-digit factors
Wed Apr 14 12:40:30 2010  commencing number field sieve (124-digit input)
Wed Apr 14 12:40:30 2010  R0: -330850259281580808619604
Wed Apr 14 12:40:30 2010  R1:  30682170121153
Wed Apr 14 12:40:30 2010  A0:  4723043665655057037974025
Wed Apr 14 12:40:30 2010  A1: -132480327899865401188504
Wed Apr 14 12:40:30 2010  A2:  18479518272665910231
Wed Apr 14 12:40:30 2010  A3: -526819862645572
Wed Apr 14 12:40:30 2010  A4: -92828235220
Wed Apr 14 12:40:30 2010  A5:  952800
Wed Apr 14 12:40:30 2010  skew 22704.18, size 7.111242e-012, alpha -5.320175, combined = 1.815477e-010
Wed Apr 14 12:40:30 2010  
Wed Apr 14 12:40:30 2010  commencing relation filtering
Wed Apr 14 12:40:30 2010  estimated available RAM is 4096.0 MB
Wed Apr 14 12:40:30 2010  commencing duplicate removal, pass 1
Wed Apr 14 12:42:10 2010  found 1280963 hash collisions in 11204904 relations
Wed Apr 14 12:42:35 2010  added 79 free relations
Wed Apr 14 12:42:35 2010  commencing duplicate removal, pass 2
Wed Apr 14 12:42:58 2010  found 1014928 duplicates and 10190054 unique relations
Wed Apr 14 12:42:58 2010  memory use: 49.3 MB
Wed Apr 14 12:42:58 2010  reading ideals above 720000
Wed Apr 14 12:42:59 2010  commencing singleton removal, initial pass
Wed Apr 14 12:44:57 2010  memory use: 266.4 MB
Wed Apr 14 12:44:57 2010  reading all ideals from disk
Wed Apr 14 12:44:58 2010  memory use: 295.3 MB
Wed Apr 14 12:44:59 2010  commencing in-memory singleton removal
Wed Apr 14 12:45:01 2010  begin with 10190054 relations and 10948579 unique ideals
Wed Apr 14 12:45:15 2010  reduce to 4089957 relations and 3843682 ideals in 19 passes
Wed Apr 14 12:45:15 2010  max relations containing the same ideal: 75
Wed Apr 14 12:45:18 2010  removing 543596 relations and 487766 ideals in 55830 cliques
Wed Apr 14 12:45:19 2010  commencing in-memory singleton removal
Wed Apr 14 12:45:19 2010  begin with 3546361 relations and 3843682 unique ideals
Wed Apr 14 12:45:24 2010  reduce to 3491996 relations and 3300523 ideals in 9 passes
Wed Apr 14 12:45:24 2010  max relations containing the same ideal: 71
Wed Apr 14 12:45:26 2010  removing 399652 relations and 343822 ideals in 55830 cliques
Wed Apr 14 12:45:27 2010  commencing in-memory singleton removal
Wed Apr 14 12:45:27 2010  begin with 3092344 relations and 3300523 unique ideals
Wed Apr 14 12:45:30 2010  reduce to 3056678 relations and 2920473 ideals in 8 passes
Wed Apr 14 12:45:30 2010  max relations containing the same ideal: 67
Wed Apr 14 12:45:33 2010  relations with 0 large ideals: 448
Wed Apr 14 12:45:33 2010  relations with 1 large ideals: 2939
Wed Apr 14 12:45:33 2010  relations with 2 large ideals: 37648
Wed Apr 14 12:45:33 2010  relations with 3 large ideals: 202572
Wed Apr 14 12:45:33 2010  relations with 4 large ideals: 567218
Wed Apr 14 12:45:33 2010  relations with 5 large ideals: 888389
Wed Apr 14 12:45:33 2010  relations with 6 large ideals: 800412
Wed Apr 14 12:45:33 2010  relations with 7+ large ideals: 557052
Wed Apr 14 12:45:33 2010  commencing 2-way merge
Wed Apr 14 12:45:37 2010  reduce to 1774197 relation sets and 1637994 unique ideals
Wed Apr 14 12:45:37 2010  ignored 2 oversize relation sets
Wed Apr 14 12:45:37 2010  commencing full merge
Wed Apr 14 12:46:14 2010  memory use: 157.0 MB
Wed Apr 14 12:46:14 2010  found 880186 cycles, need 862194
Wed Apr 14 12:46:14 2010  weight of 862194 cycles is about 60602998 (70.29/cycle)
Wed Apr 14 12:46:14 2010  distribution of cycle lengths:
Wed Apr 14 12:46:14 2010  1 relations: 112131
Wed Apr 14 12:46:14 2010  2 relations: 101771
Wed Apr 14 12:46:14 2010  3 relations: 98846
Wed Apr 14 12:46:14 2010  4 relations: 87611
Wed Apr 14 12:46:14 2010  5 relations: 79579
Wed Apr 14 12:46:14 2010  6 relations: 66135
Wed Apr 14 12:46:14 2010  7 relations: 58764
Wed Apr 14 12:46:14 2010  8 relations: 50089
Wed Apr 14 12:46:14 2010  9 relations: 42104
Wed Apr 14 12:46:14 2010  10+ relations: 165164
Wed Apr 14 12:46:14 2010  heaviest cycle: 21 relations
Wed Apr 14 12:46:15 2010  commencing cycle optimization
Wed Apr 14 12:46:17 2010  start with 5048202 relations
Wed Apr 14 12:46:28 2010  pruned 106904 relations
Wed Apr 14 12:46:28 2010  memory use: 136.3 MB
Wed Apr 14 12:46:28 2010  distribution of cycle lengths:
Wed Apr 14 12:46:28 2010  1 relations: 112131
Wed Apr 14 12:46:28 2010  2 relations: 104025
Wed Apr 14 12:46:28 2010  3 relations: 102076
Wed Apr 14 12:46:28 2010  4 relations: 89240
Wed Apr 14 12:46:28 2010  5 relations: 80982
Wed Apr 14 12:46:28 2010  6 relations: 66772
Wed Apr 14 12:46:28 2010  7 relations: 59263
Wed Apr 14 12:46:28 2010  8 relations: 49955
Wed Apr 14 12:46:28 2010  9 relations: 41690
Wed Apr 14 12:46:28 2010  10+ relations: 156060
Wed Apr 14 12:46:28 2010  heaviest cycle: 21 relations
Wed Apr 14 12:46:30 2010  RelProcTime: 360
Wed Apr 14 12:46:30 2010  
Wed Apr 14 12:46:30 2010  commencing linear algebra
Wed Apr 14 12:46:31 2010  read 862194 cycles
Wed Apr 14 12:46:33 2010  cycles contain 2914654 unique relations
Wed Apr 14 12:47:56 2010  read 2914654 relations
Wed Apr 14 12:48:00 2010  using 20 quadratic characters above 134216558
Wed Apr 14 12:48:15 2010  building initial matrix
Wed Apr 14 12:48:51 2010  memory use: 331.1 MB
Wed Apr 14 12:48:52 2010  read 862194 cycles
Wed Apr 14 12:49:25 2010  matrix is 862007 x 862194 (245.7 MB) with weight 80961557 (93.90/col)
Wed Apr 14 12:49:25 2010  sparse part has weight 58380824 (67.71/col)
Wed Apr 14 12:49:37 2010  filtering completed in 2 passes
Wed Apr 14 12:49:38 2010  matrix is 859021 x 859206 (245.5 MB) with weight 80829377 (94.07/col)
Wed Apr 14 12:49:38 2010  sparse part has weight 58330539 (67.89/col)
Wed Apr 14 12:49:42 2010  read 859206 cycles
Wed Apr 14 12:52:32 2010  matrix is 859021 x 859206 (245.5 MB) with weight 80829377 (94.07/col)
Wed Apr 14 12:52:32 2010  sparse part has weight 58330539 (67.89/col)
Wed Apr 14 12:52:32 2010  saving the first 48 matrix rows for later
Wed Apr 14 12:52:32 2010  matrix is 858973 x 859206 (236.9 MB) with weight 64256651 (74.79/col)
Wed Apr 14 12:52:32 2010  sparse part has weight 56956541 (66.29/col)
Wed Apr 14 12:52:32 2010  matrix includes 64 packed rows
Wed Apr 14 12:52:32 2010  using block size 65536 for processor cache size 6144 kB
Wed Apr 14 12:52:39 2010  commencing Lanczos iteration (6 threads)
Wed Apr 14 12:52:39 2010  memory use: 273.1 MB
Wed Apr 14 13:42:33 2010  lanczos halted after 13586 iterations (dim = 858970)
Wed Apr 14 13:42:35 2010  recovered 30 nontrivial dependencies
Wed Apr 14 13:42:37 2010  BLanczosTime: 3367
Wed Apr 14 13:42:37 2010  
Wed Apr 14 13:42:37 2010  commencing square root phase
Wed Apr 14 13:42:37 2010  reading relations for dependency 1
Wed Apr 14 13:42:37 2010  read 429063 cycles
Wed Apr 14 13:42:38 2010  cycles contain 1777289 unique relations
Wed Apr 14 13:44:10 2010  read 1777289 relations
Wed Apr 14 13:44:20 2010  multiplying 1458352 relations
Wed Apr 14 13:47:44 2010  multiply complete, coefficients have about 72.91 million bits
Wed Apr 14 13:47:47 2010  initial square root is modulo 171253
Wed Apr 14 13:52:51 2010  sqrtTime: 614
Wed Apr 14 13:52:51 2010  prp40 factor: 1012544678533012451313564305289415831291
Wed Apr 14 13:52:51 2010  prp85 factor: 3730276511654178526019785130871777978504206319455762473797164409516529593402292728379
Wed Apr 14 13:52:51 2010  elapsed time 01:12:23

GGNFS/msieve

11147248756471392693235549685262114594283099279993036999369108693229523122360797209268532281067719919799612566661584616236613122089519120104251944603081<152>

178357640554508817216078594799956611<36>

62499418145558072312736492552934933071254305845033425699567111879659015283831250138221824033030581849375941209496771<116>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=736929592
Step 1 took 7005ms
Step 2 took 5351ms
********** Factor found in step 2: 178357640554508817216078594799956611
Found probable prime factor of 36 digits: 178357640554508817216078594799956611
Composite cofactor 62499418145558072312736492552934933071254305845033425699567111879659015283831250138221824033030581849375941209496771 has 116 digits

GMP-ECM 6.3

62499418145558072312736492552934933071254305845033425699567111879659015283831250138221824033030581849375941209496771<116>

6162611459066359043085797804522505149<37>
10141709981343978502981072303095077611806193928602101568704733018991943854910079<80>

N = 62499418145558072312736492552934933071254305845033425699567111879659015283831250138221824033030581849375941209496771 (116 digits)
Divisors found:
r1=6162611459066359043085797804522505149 (pp37)
r2=10141709981343978502981072303095077611806193928602101568704733018991943854910079 (pp80)
Version: Msieve v. 1.48
Total time: 9.20 hours.
Factorization parameters were as follows:
n: 62499418145558072312736492552934933071254305845033425699567111879659015283831250138221824033030581849375941209496771
Y0: -29231971239923070980100
Y1: 1638041993651
c0: 70982395461786608210798205721
c1: 6445702813086826404527378
c2: -83754190007046238785
c3: -286084283603072
c4: 1731158198
c5: 2928
skew: 204140.14 
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9341587
Relations: 1066614 relations
Pruned matrix : 581564 x 581793
Polynomial selection time: 0.00 hours.
Total sieving time: 8.72 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.40 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 9.20 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

40305854419613099392933000322931607765920560992330095901788930477410295183773700750837580338887703146798804147<110>

121710843248256603777008924948983385611121242357<48>
331160752353019654210539187583083132861767802689536904567422471<63>

Number: 74449_181
N=40305854419613099392933000322931607765920560992330095901788930477410295183773700750837580338887703146798804147
  ( 110 digits)
Divisors found:
 r1=121710843248256603777008924948983385611121242357 (pp48)
 r2=331160752353019654210539187583083132861767802689536904567422471 (pp63)
Version: Msieve-1.40
Total time: 21.25 hours.
Scaled time: 44.16 units (timescale=2.078).
Factorization parameters were as follows:
name: 74449_181
n: 40305854419613099392933000322931607765920560992330095901788930477410295183773700750837580338887703146798804147
skew: 33186.82
# norm 1.64e+15
c5: 30600
c4: 1047455254
c3: -78351538124717
c2: 129431081918751312
c1: 48327712299484053859320
c0: -514868110317796072713683808
# alpha -6.04
Y1: 654077347
Y0: -1056645576467103752827
# Murphy_E 9.67e-10
# M 15796330503120420793036355885019577620524107447618867199386924482341371764583299519964820756277157127611672118
type: gnfs
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1600000, 2300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 394960 x 395208
Polynomial selection time: 1.51 hours.
Total sieving time: 18.66 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.54 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
gnfs,109,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 21.25 hours.
 --------- CPU info (if available) ----------

2926768865414218855407090900739689048785074833988620955841707669189401282941545914131327045312176225462850087387685232744016356802946446343050076976102855313<157>

376545584531896151809222103006428614037<39>

7772681411342642444785293364384516976013206965180167890520081597486412067918752882840404902731331293192145959451777549<118>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1258665783
Step 1 took 28777ms
Step 2 took 9630ms
********** Factor found in step 2: 376545584531896151809222103006428614037
Found probable prime factor of 39 digits: 376545584531896151809222103006428614037
Composite cofactor 7772681411342642444785293364384516976013206965180167890520081597486412067918752882840404902731331293192145959451777549 has 118 digits

GMP-ECM 6.4.4 [configured with GMP 5.1.1] [ECM]

Core-i5, 3.4 GHz. OpenSUSE

7772681411342642444785293364384516976013206965180167890520081597486412067918752882840404902731331293192145959451777549<118>

15925895367587492299701421971335774803921956880050679<53>
488053025085274946519853611194126855396092960864620335415430773531<66>

Number: 74449_183
N = 7772681411342642444785293364384516976013206965180167890520081597486412067918752882840404902731331293192145959451777549 (118 digits)
Divisors found:
r1=15925895367587492299701421971335774803921956880050679 (pp53)
r2=488053025085274946519853611194126855396092960864620335415430773531 (pp66)
Version: Msieve v. 1.51 (SVN 845)
Total time: 15.57 hours.
Factorization parameters were as follows:
# Murphy_E = 3.329e-10, selected by Erik Branger
n: 7772681411342642444785293364384516976013206965180167890520081597486412067918752882840404902731331293192145959451777549
Y0: -55233253819573540984206
Y1: 3207413758193
c0: 1214877080403063899035382664535
c1: 24920470678112253544879383
c2: -221610492304502954525
c3: -3277988560429359
c4: 9553014094
c5: 15120
skew: 177509.39
type: gnfs
# selected mechanically
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10262282
Relations: 813574 relations
Pruned matrix : 505401 x 505626
Polynomial selection time: 0.00 hours.
Total sieving time: 15.28 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.17 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,117,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4600000,4600000,27,27,51,51,2.5,2.5,100000
total time: 15.57 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz

GGNFS, Msieve

3323901115833039769248809998477987273013483331326107960002378787261282965696305233228924412489323784878056419511730825150158735864648649733236851750255506761<157>

9669490466424504953620150239530916281473733<43>
343751423859888377597817828627121793904663742556813718362133048179380986736759851332545777621827570931214542760117<114>

GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 3323901115833039769248809998477987273013483331326107960002378787261282965696305233228924412489323784878056419511730825150158735864648649733236851750255506761 (157 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1695970908
Step 1 took 29586ms
Step 2 took 9772ms
********** Factor found in step 2: 9669490466424504953620150239530916281473733
Found probable prime factor of 43 digits: 9669490466424504953620150239530916281473733
Probable prime cofactor 343751423859888377597817828627121793904663742556813718362133048179380986736759851332545777621827570931214542760117 has 114 digits

Core i7-4930K

723923388160265401118926242255235289687668116350263524320530370044784926143066926285042348977966041078006202618809063909793527325352672244334300041177194511623454383048177749771667<180>

677632651944004039691455516087438517717661638398255957<54>
1068312434596328427520500847735761708190001667063750632770663316658289322784604922836617494449649709779386669313247067392841031<127>

Number: 74449_185
N=723923388160265401118926242255235289687668116350263524320530370044784926143066926285042348977966041078006202618809063909793527325352672244334300041177194511623454383048177749771667
  ( 180 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=677632651944004039691455516087438517717661638398255957 (pp54)
 r2=1068312434596328427520500847735761708190001667063750632770663316658289322784604922836617494449649709779386669313247067392841031 (pp127)
Version: Msieve v. 1.42
Total time: 13.34 hours.
Scaled time: 10.62 units (timescale=0.796).
Factorization parameters were as follows:
name: 74449_185
n: 723923388160265401118926242255235289687668116350263524320530370044784926143066926285042348977966041078006202618809063909793527325352672244334300041177194511623454383048177749771667
m: 10000000000000000000000000000000000000
deg: 5
c5: 67
c0: 41
skew: 0.91
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 8050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1862951 x 1863182
Total sieving time: 0.00 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 12.31 hours.
Time per square root: 0.81 hours.
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 13.34 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
CPU1: Intel(R) Core(TM)2 CPU          6300  @ 1.86GHz stepping 02
Memory: 4005920k/4980736k available (3786k kernel code, 795360k absent, 179456k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 3721.33 BogoMIPS (lpj=1860666)
Calibrating delay using timer specific routine.. 3721.14 BogoMIPS (lpj=1860571)
Total of 2 processors activated (7442.47 BogoMIPS).

Total time: 9 days.

75888104559959142481652294063602178494663676552680444500541469067026542308479815665014477822665681341544889258958368005843692858103735837<137>

23971137298892308161433537735569425410944626399323131137<56>
3165811601415585991198647079650180643544269273741348479837502467474762414087843101<82>

Sun Jan 22 21:10:46 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jan 22 21:10:46 2017  random seeds: c8ba5bfd 75d073b2
Sun Jan 22 21:10:46 2017  factoring 75888104559959142481652294063602178494663676552680444500541469067026542308479815665014477822665681341544889258958368005843692858103735837 (137 digits)
Sun Jan 22 21:10:46 2017  no P-1/P+1/ECM available, skipping
Sun Jan 22 21:10:46 2017  commencing number field sieve (137-digit input)
Sun Jan 22 21:10:46 2017  R0: -10000000000000000000000000000000000000
Sun Jan 22 21:10:46 2017  R1: 1
Sun Jan 22 21:10:46 2017  A0: 41
Sun Jan 22 21:10:46 2017  A1: 0
Sun Jan 22 21:10:46 2017  A2: 0
Sun Jan 22 21:10:46 2017  A3: 0
Sun Jan 22 21:10:46 2017  A4: 0
Sun Jan 22 21:10:46 2017  A5: 6700
Sun Jan 22 21:10:46 2017  skew 0.36, size 1.623e-13, alpha 0.747, combined = 2.845e-11 rroots = 1
Sun Jan 22 21:10:46 2017  
Sun Jan 22 21:10:46 2017  commencing relation filtering
Sun Jan 22 21:10:46 2017  estimated available RAM is 15929.4 MB
Sun Jan 22 21:10:46 2017  commencing duplicate removal, pass 1
Sun Jan 22 21:13:37 2017  found 4130954 hash collisions in 23563459 relations
Sun Jan 22 21:13:56 2017  added 189 free relations
Sun Jan 22 21:13:56 2017  commencing duplicate removal, pass 2
Sun Jan 22 21:14:03 2017  found 3965709 duplicates and 19597939 unique relations
Sun Jan 22 21:14:03 2017  memory use: 106.6 MB
Sun Jan 22 21:14:03 2017  reading ideals above 720000
Sun Jan 22 21:14:03 2017  commencing singleton removal, initial pass
Sun Jan 22 21:16:03 2017  memory use: 689.0 MB
Sun Jan 22 21:16:03 2017  reading all ideals from disk
Sun Jan 22 21:16:03 2017  memory use: 633.4 MB
Sun Jan 22 21:16:04 2017  keeping 21674211 ideals with weight <= 200, target excess is 115758
Sun Jan 22 21:16:05 2017  commencing in-memory singleton removal
Sun Jan 22 21:16:06 2017  begin with 19597939 relations and 21674211 unique ideals
Sun Jan 22 21:16:14 2017  reduce to 8321354 relations and 8163056 ideals in 18 passes
Sun Jan 22 21:16:14 2017  max relations containing the same ideal: 113
Sun Jan 22 21:16:16 2017  removing 208222 relations and 196214 ideals in 12009 cliques
Sun Jan 22 21:16:16 2017  commencing in-memory singleton removal
Sun Jan 22 21:16:17 2017  begin with 8113132 relations and 8163056 unique ideals
Sun Jan 22 21:16:20 2017  reduce to 8108787 relations and 7962483 ideals in 8 passes
Sun Jan 22 21:16:20 2017  max relations containing the same ideal: 110
Sun Jan 22 21:16:22 2017  removing 150110 relations and 138101 ideals in 12009 cliques
Sun Jan 22 21:16:22 2017  commencing in-memory singleton removal
Sun Jan 22 21:16:22 2017  begin with 7958677 relations and 7962483 unique ideals
Sun Jan 22 21:16:25 2017  reduce to 7956301 relations and 7821999 ideals in 7 passes
Sun Jan 22 21:16:25 2017  max relations containing the same ideal: 109
Sun Jan 22 21:16:26 2017  relations with 0 large ideals: 2785
Sun Jan 22 21:16:26 2017  relations with 1 large ideals: 727
Sun Jan 22 21:16:26 2017  relations with 2 large ideals: 13767
Sun Jan 22 21:16:26 2017  relations with 3 large ideals: 114353
Sun Jan 22 21:16:26 2017  relations with 4 large ideals: 520826
Sun Jan 22 21:16:26 2017  relations with 5 large ideals: 1379567
Sun Jan 22 21:16:26 2017  relations with 6 large ideals: 2283811
Sun Jan 22 21:16:26 2017  relations with 7+ large ideals: 3640465
Sun Jan 22 21:16:26 2017  commencing 2-way merge
Sun Jan 22 21:16:30 2017  reduce to 4723636 relation sets and 4589334 unique ideals
Sun Jan 22 21:16:30 2017  commencing full merge
Sun Jan 22 21:17:20 2017  memory use: 552.5 MB
Sun Jan 22 21:17:21 2017  found 2425526 cycles, need 2417534
Sun Jan 22 21:17:21 2017  weight of 2417534 cycles is about 169337748 (70.05/cycle)
Sun Jan 22 21:17:21 2017  distribution of cycle lengths:
Sun Jan 22 21:17:21 2017  1 relations: 350548
Sun Jan 22 21:17:21 2017  2 relations: 326693
Sun Jan 22 21:17:21 2017  3 relations: 301181
Sun Jan 22 21:17:21 2017  4 relations: 257264
Sun Jan 22 21:17:21 2017  5 relations: 217639
Sun Jan 22 21:17:21 2017  6 relations: 176960
Sun Jan 22 21:17:21 2017  7 relations: 148436
Sun Jan 22 21:17:21 2017  8 relations: 120115
Sun Jan 22 21:17:21 2017  9 relations: 97570
Sun Jan 22 21:17:21 2017  10+ relations: 421128
Sun Jan 22 21:17:21 2017  heaviest cycle: 28 relations
Sun Jan 22 21:17:22 2017  commencing cycle optimization
Sun Jan 22 21:17:24 2017  start with 13874589 relations
Sun Jan 22 21:17:38 2017  pruned 308809 relations
Sun Jan 22 21:17:38 2017  memory use: 462.0 MB
Sun Jan 22 21:17:38 2017  distribution of cycle lengths:
Sun Jan 22 21:17:38 2017  1 relations: 350548
Sun Jan 22 21:17:38 2017  2 relations: 333435
Sun Jan 22 21:17:38 2017  3 relations: 311083
Sun Jan 22 21:17:38 2017  4 relations: 262282
Sun Jan 22 21:17:38 2017  5 relations: 220855
Sun Jan 22 21:17:38 2017  6 relations: 178087
Sun Jan 22 21:17:38 2017  7 relations: 148047
Sun Jan 22 21:17:38 2017  8 relations: 118702
Sun Jan 22 21:17:38 2017  9 relations: 95257
Sun Jan 22 21:17:38 2017  10+ relations: 399238
Sun Jan 22 21:17:38 2017  heaviest cycle: 28 relations
Sun Jan 22 21:17:40 2017  RelProcTime: 414
Sun Jan 22 21:17:41 2017  elapsed time 00:06:55
Sun Jan 22 21:17:41 2017 LatSieveTime: 1162.66
Sun Jan 22 21:17:41 2017 -> Running matrix solving step ...
Sun Jan 22 21:17:41 2017 -> ./msieve -s 74449_187/74449_187.dat -l 74449_187/74449_187.log -i 74449_187/74449_187.ini -nf 74449_187/74449_187.fb -t 6 -nc2
Sun Jan 22 21:17:41 2017  
Sun Jan 22 21:17:41 2017  
Sun Jan 22 21:17:41 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jan 22 21:17:41 2017  random seeds: e3a3c1f8 3d650e44
Sun Jan 22 21:17:41 2017  factoring 75888104559959142481652294063602178494663676552680444500541469067026542308479815665014477822665681341544889258958368005843692858103735837 (137 digits)
Sun Jan 22 21:17:41 2017  no P-1/P+1/ECM available, skipping
Sun Jan 22 21:17:41 2017  commencing number field sieve (137-digit input)
Sun Jan 22 21:17:41 2017  R0: -10000000000000000000000000000000000000
Sun Jan 22 21:17:41 2017  R1: 1
Sun Jan 22 21:17:41 2017  A0: 41
Sun Jan 22 21:17:41 2017  A1: 0
Sun Jan 22 21:17:41 2017  A2: 0
Sun Jan 22 21:17:41 2017  A3: 0
Sun Jan 22 21:17:41 2017  A4: 0
Sun Jan 22 21:17:41 2017  A5: 6700
Sun Jan 22 21:17:41 2017  skew 0.36, size 1.623e-13, alpha 0.747, combined = 2.845e-11 rroots = 1
Sun Jan 22 21:17:41 2017  
Sun Jan 22 21:17:41 2017  commencing linear algebra
Sun Jan 22 21:17:41 2017  read 2417534 cycles
Sun Jan 22 21:17:44 2017  cycles contain 7776563 unique relations
Sun Jan 22 21:18:21 2017  read 7776563 relations
Sun Jan 22 21:18:26 2017  using 20 quadratic characters above 4294917295
Sun Jan 22 21:18:56 2017  building initial matrix
Sun Jan 22 21:19:42 2017  memory use: 937.3 MB
Sun Jan 22 21:19:42 2017  read 2417534 cycles
Sun Jan 22 21:19:43 2017  matrix is 2417357 x 2417534 (725.6 MB) with weight 212625233 (87.95/col)
Sun Jan 22 21:19:43 2017  sparse part has weight 163612569 (67.68/col)
Sun Jan 22 21:19:56 2017  filtering completed in 2 passes
Sun Jan 22 21:19:57 2017  matrix is 2415308 x 2415483 (725.4 MB) with weight 212551800 (88.00/col)
Sun Jan 22 21:19:57 2017  sparse part has weight 163585184 (67.72/col)
Sun Jan 22 21:20:01 2017  matrix starts at (0, 0)
Sun Jan 22 21:20:02 2017  matrix is 2415308 x 2415483 (725.4 MB) with weight 212551800 (88.00/col)
Sun Jan 22 21:20:02 2017  sparse part has weight 163585184 (67.72/col)
Sun Jan 22 21:20:02 2017  saving the first 48 matrix rows for later
Sun Jan 22 21:20:02 2017  matrix includes 64 packed rows
Sun Jan 22 21:20:02 2017  matrix is 2415260 x 2415483 (690.8 MB) with weight 170654129 (70.65/col)
Sun Jan 22 21:20:02 2017  sparse part has weight 156928988 (64.97/col)
Sun Jan 22 21:20:02 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sun Jan 22 21:20:08 2017  commencing Lanczos iteration (6 threads)
Sun Jan 22 21:20:08 2017  memory use: 557.8 MB
Sun Jan 22 21:20:14 2017  linear algebra at 0.1%, ETA 2h38m
Sun Jan 22 21:20:16 2017  checkpointing every 920000 dimensions
Sun Jan 22 23:51:02 2017  lanczos halted after 38195 iterations (dim = 2415256)
Sun Jan 22 23:51:04 2017  recovered 39 nontrivial dependencies
Sun Jan 22 23:51:04 2017  BLanczosTime: 9203
Sun Jan 22 23:51:04 2017  elapsed time 02:33:23
Sun Jan 22 23:51:04 2017 -> Running square root step ...
Sun Jan 22 23:51:04 2017 -> ./msieve -s 74449_187/74449_187.dat -l 74449_187/74449_187.log -i 74449_187/74449_187.ini -nf 74449_187/74449_187.fb -t 6 -nc3
Sun Jan 22 23:51:04 2017  
Sun Jan 22 23:51:04 2017  
Sun Jan 22 23:51:04 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sun Jan 22 23:51:04 2017  random seeds: b658ef2b f47063f1
Sun Jan 22 23:51:04 2017  factoring 75888104559959142481652294063602178494663676552680444500541469067026542308479815665014477822665681341544889258958368005843692858103735837 (137 digits)
Sun Jan 22 23:51:05 2017  no P-1/P+1/ECM available, skipping
Sun Jan 22 23:51:05 2017  commencing number field sieve (137-digit input)
Sun Jan 22 23:51:05 2017  R0: -10000000000000000000000000000000000000
Sun Jan 22 23:51:05 2017  R1: 1
Sun Jan 22 23:51:05 2017  A0: 41
Sun Jan 22 23:51:05 2017  A1: 0
Sun Jan 22 23:51:05 2017  A2: 0
Sun Jan 22 23:51:05 2017  A3: 0
Sun Jan 22 23:51:05 2017  A4: 0
Sun Jan 22 23:51:05 2017  A5: 6700
Sun Jan 22 23:51:05 2017  skew 0.36, size 1.623e-13, alpha 0.747, combined = 2.845e-11 rroots = 1
Sun Jan 22 23:51:05 2017  
Sun Jan 22 23:51:05 2017  commencing square root phase
Sun Jan 22 23:51:05 2017  reading relations for dependency 1
Sun Jan 22 23:51:05 2017  read 1207509 cycles
Sun Jan 22 23:51:06 2017  cycles contain 3889120 unique relations
Sun Jan 22 23:51:25 2017  read 3889120 relations
Sun Jan 22 23:51:37 2017  multiplying 3889120 relations
Sun Jan 22 23:53:50 2017  multiply complete, coefficients have about 135.00 million bits
Sun Jan 22 23:53:50 2017  initial square root is modulo 69991
Sun Jan 22 23:56:42 2017  GCD is N, no factor found
Sun Jan 22 23:56:42 2017  reading relations for dependency 2
Sun Jan 22 23:56:42 2017  read 1206734 cycles
Sun Jan 22 23:56:43 2017  cycles contain 3886508 unique relations
Sun Jan 22 23:57:02 2017  read 3886508 relations
Sun Jan 22 23:57:14 2017  multiplying 3886508 relations
Sun Jan 22 23:59:26 2017  multiply complete, coefficients have about 134.90 million bits
Sun Jan 22 23:59:27 2017  initial square root is modulo 69431
Mon Jan 23 00:02:19 2017  GCD is 1, no factor found
Mon Jan 23 00:02:19 2017  reading relations for dependency 3
Mon Jan 23 00:02:19 2017  read 1208071 cycles
Mon Jan 23 00:02:20 2017  cycles contain 3889772 unique relations
Mon Jan 23 00:02:39 2017  read 3889772 relations
Mon Jan 23 00:02:50 2017  multiplying 3889772 relations
Mon Jan 23 00:05:03 2017  multiply complete, coefficients have about 135.02 million bits
Mon Jan 23 00:05:04 2017  initial square root is modulo 70111
Mon Jan 23 00:07:56 2017  GCD is 1, no factor found
Mon Jan 23 00:07:56 2017  reading relations for dependency 4
Mon Jan 23 00:07:56 2017  read 1206586 cycles
Mon Jan 23 00:07:57 2017  cycles contain 3885154 unique relations
Mon Jan 23 00:08:16 2017  read 3885154 relations
Mon Jan 23 00:08:27 2017  multiplying 3885154 relations
Mon Jan 23 00:10:40 2017  multiply complete, coefficients have about 134.86 million bits
Mon Jan 23 00:10:40 2017  initial square root is modulo 69191
Mon Jan 23 00:13:32 2017  sqrtTime: 1347
Mon Jan 23 00:13:32 2017  p56 factor: 23971137298892308161433537735569425410944626399323131137
Mon Jan 23 00:13:32 2017  p82 factor: 3165811601415585991198647079650180643544269273741348479837502467474762414087843101
Mon Jan 23 00:13:32 2017  elapsed time 00:22:28

GGNFS/Msieve v1.53

64-bit Ubuntu 16.04.1 LTS, Core i7-2600K 3.4GHz

672253237659761367581388069843579382235987693670191823898078105892015293825822582428888950444831363407881397603418011409760005175445299476633024515065525157702419574583<168>

576666810007314760524622834374526345241<39>
1165756769756237810843775300703576431766271066750796480889696149302109551777526591836881917908229730980326487041457085941887808463<130>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2008729080
Step 1 took 19532ms
Step 2 took 8224ms
********** Factor found in step 2: 576666810007314760524622834374526345241
Found probable prime factor of 39 digits: 576666810007314760524622834374526345241

2853730671458548986991630774614523810953717216331398035415138376761364098594435421118433272898132591056689189416543690041574596583641419115114341534231202188564385637147974752065110719<184>

65937777287549972104672719741339570638626702775829277<53>
19835681892166924316837328669467073777590817772748193389809<59>
2181883433698365572781691249645021250135008753987862425086247068666593083<73>

Number: n
N=2853730671458548986991630774614523810953717216331398035415138376761364098594435421118433272898132591056689189416543690041574596583641419115114341534231202188564385637147974752065110719
  ( 184 digits)
SNFS difficulty: 190 digits.
Divisors found:

Fri Mar 12 05:28:43 2010  prp53 factor: 65937777287549972104672719741339570638626702775829277
Fri Mar 12 05:28:43 2010  prp59 factor: 19835681892166924316837328669467073777590817772748193389809
Fri Mar 12 05:28:43 2010  prp73 factor: 2181883433698365572781691249645021250135008753987862425086247068666593083
Fri Mar 12 05:28:43 2010  elapsed time 06:47:55 (Msieve 1.42 - dependency 3)

Version: 
Total time: 15.85 hours.
Scaled time: 13.33 units (timescale=0.841).
Factorization parameters were as follows:
name: KA_7_4_188_9
n: 2853730671458548986991630774614523810953717216331398035415138376761364098594435421118433272898132591056689189416543690041574596583641419115114341534231202188564385637147974752065110719
m: 10000000000000000000000000000000000000
deg: 5
c5: 670000
c0: 41
skew: 0.14
type: snfs
lss: 1
rlim: 10600000
alim: 10600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 10600000/10600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 10134653)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4341976 hash collisions in 30982875 relations
Msieve: matrix is 1551193 x 1551419 (415.3 MB)

Total sieving time: 15.85 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,190,5,0,0,0,0,0,0,0,0,10600000,10600000,28,28,56,56,2.5,2.5,100000
total time: 15.85 hours.
 --------- CPU info (if available) ----------

59939488693804941546023909131682793564252834822621739154444596546366296492688993378956153178308080443521097009460181915375149360190082661163245336273<149>

27398648344264692824753967953032448398690828627559<50>
2187680499441570489429525867992857397549521074864563434728237528202512412857407894608675086888599047<100>

Stage1: d = 48890900779200077330746148530666943138852345109745519465159957068470770639659142831648123884761001613160925799062739224574598748325701245071950687847
Stage1 time: 604.643878 seconds
Stage2 time: 240.691752 seconds
Stage2 gcd: -2237705646412190105
total time: 845.336 seconds
Y=44722292921814971551711615530769912224853783400259844835352541911306889263866376956026094371810377770799151530549912549317174234482791663335356983711
--------------------------------------------------
@ probable prime factor found: 27398648344264692824753967953032448398690828627559 digits: 50 cofactor: 2187680499441570489429525867992857397549521074864563434728237528202512412857407894608675086888599047

g\W_ECM×í°éà’(D_

Intel Xeon E5-2640
Red Hat Enterprise Linux Server release 6.3

19802700684951422105542655036875788200442464643342101000002337535059367454381103026802829635234976613548069671524197788468539696544136447226477720464174640809437<161>

12818712518610850199157844019459893<35>
1544827583597094276331584946087282189016039810703961441810811074724364178862365161979473919085020013695395632860162414013292809<127>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3541297710
Step 1 took 24617ms
Step 2 took 13666ms
********** Factor found in step 2: 12818712518610850199157844019459893
Found probable prime factor of 35 digits: 12818712518610850199157844019459893
Probable prime cofactor 1544827583597094276331584946087282189016039810703961441810811074724364178862365161979473919085020013695395632860162414013292809 has 127 digits

GMP-ECM 6.3

221403334451309158866168847081454447673407030507033584685097762335150825692856624803439152642119699279321032898847982719806411474073885130464364808434833<153>

232303737229285765323564060798387445609<39>
953076937512986215268096014849135159066558654905025335916799926838606150876621752280911808568732579181013546069737<114>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2610771839
Step 1 took 10043ms
Step 2 took 4977ms
********** Factor found in step 2: 232303737229285765323564060798387445609
Found probable prime factor of 39 digits: 232303737229285765323564060798387445609
Probable prime cofactor 

19394186535960270874431814671937226451957648237127878004368236276898914383616302880239127354378841872661704351685716735950993079275961193867321089052955848796187255110532434457286331<182>

1276857044529637073849602015200391491074804659<46>
15189003827053023903575727632902995591303260578076094118128384638909892980522451852848043058448755510280081071911383161413544419950011609<137>

Number: n
N=19394186535960270874431814671937226451957648237127878004368236276898914383616302880239127354378841872661704351685716735950993079275961193867321089052955848796187255110532434457286331  ( 182 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat Feb 27 23:40:38 2021  p46 factor: 1276857044529637073849602015200391491074804659
Sat Feb 27 23:40:38 2021  p137 factor: 15189003827053023903575727632902995591303260578076094118128384638909892980522451852848043058448755510280081071911383161413544419950011609
Sat Feb 27 23:40:38 2021  elapsed time 01:08:06 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 67x10^195+41 = 74(194)9
#
n: 19394186535960270874431814671937226451957648237127878004368236276898914383616302880239127354378841872661704351685716735950993079275961193867321089052955848796187255110532434457286331
m: 1000000000000000000000000000000000000000
deg: 5
c5: 67
c0: 41
skew: 0.91
# Murphy_E = 2.095e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3595236 hash collisions in 28118872 relations (26048142 unique)
Msieve: matrix is 1721010 x 1721235 (598.7 MB)

Sieving start time: 2021/02/27 16:53:44
Sieving end time  : 2021/02/27 22:29:28

Total sieving time: 5hrs 35min 44secs.

Total relation processing time: 0hrs 57min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 9sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116873] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241916K/16727236K available (14339K kernel code, 2400K rwdata, 4964K rodata, 2732K init, 4968K bss, 485320K reserved, 0K cma-reserved)
[    0.153556] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798332)
[    0.152039] smpboot: Total of 16 processors activated (102386.65 BogoMIPS)

903298845670042318972661946302678274304716899799730829347214374816701850392818369534703364757956330906235444196532922275834888054051527662583734192852384816375756941748810987195609<180>

12624950908551942781065107493375480526337<41>
71548701631636596429013128093722967439140915775167437871100567137169452210202541455318718740646903619194396550101977671046153240128306071257<140>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1999926116
Step 1 took 22788ms
Step 2 took 8924ms
********** Factor found in step 2: 12624950908551942781065107493375480526337
Found probable prime factor of 41 digits: 12624950908551942781065107493375480526337

118712237991459806162405428870107549743971367316926238948245007884618791970091603323942663760874572547352008363011392831198284873934690550860220769326175162564893070394585304488031325856234164319<195>

14804814301257493957368027068209<32>

8018488822340487237390691124028521224201676513048994685760860292500214647027078234420861913727315979617472630756131310269280591852145065737118488621600044708379791<163>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2933211590
Step 1 took 75324ms
Step 2 took 22413ms
********** Factor found in step 2: 14804814301257493957368027068209
Found probable prime factor of 32 digits: 14804814301257493957368027068209
Composite cofactor 8018488822340487237390691124028521224201676513048994685760860292500214647027078234420861913727315979617472630756131310269280591852145065737118488621600044708379791 has 163 digits

GMP-ECM 6.2.1

8018488822340487237390691124028521224201676513048994685760860292500214647027078234420861913727315979617472630756131310269280591852145065737118488621600044708379791<163>

173045216436419734666630291156564088776590066867538606900987802126795815434869311<81>
46337535283944933696784914594901250406915568600827534627617679861410884245716789681<83>

8018488822340487237390691124028521224201676513048994685760860292500214647027078234420861913727315979617472630756131310269280591852145065737118488621600044708379791=173045216436419734666630291156564088776590066867538606900987802126795815434869311*46337535283944933696784914594901250406915568600827534627617679861410884245716789681

cado polynomial
n: 8018488822340487237390691124028521224201676513048994685760860292500214647027078234420861913727315979617472630756131310269280591852145065737118488621600044708379791
skew: 1.35
type: snfs
c0: 410
c6: 67
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 67*x^6+410
# g(x) = -x+1000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 46337535283944933696784914594901250406915568600827534627617679861410884245716789681 173045216436419734666630291156564088776590066867538606900987802126795815434869311
Info:Square Root: Total cpu/real time for sqrt: 2343.5/280.811
Info:Filtering - Merging: Merged matrix has 3257946 rows and total weight 556221924 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1452.88/274.321
Info:Filtering - Merging: Total cpu/real time for replay: 150.2/119.392
Info:Generate Factor Base: Total cpu/real time for makefb: 12.04/1.76863
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1364.33/981.271
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 759.5999999999999s
Info:Quadratic Characters: Total cpu/real time for characters: 122.4/31.9027
Info:Square Root: Total cpu/real time for sqrt: 2343.5/280.811
Info:Linear Algebra: Total cpu/real time for bwc: 309067/63132.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 203840.41, WCT time 43512.24, iteration CPU time 0.33, COMM 0.01, cpu-wait 0.09, comm-wait 0.0 (101888 iterations)
Info:Linear Algebra: Lingen CPU time 2136.04, WCT time 188.28
Info:Linear Algebra: Mksol: CPU time 101687.59,  WCT time 19049.98, iteration CPU time 0.33, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (51200 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1066.23/825.748
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32118939
Info:Lattice Sieving: Average J: 1893.63 for 6598651 special-q, max bucket fill -bkmult 1.0,1s:1.116260
Info:Lattice Sieving: Total time: 2.81608e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 216.03/20.523
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 326.45/181.025
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 179.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 5.85115e+06/629050
Info:root: Cleaning up computation data in /tmp/cado.9p6o4skg
46337535283944933696784914594901250406915568600827534627617679861410884245716789681 173045216436419734666630291156564088776590066867538606900987802126795815434869311

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)

1690675327011124131462652237169154370860204741924447467861558808620854905595729860342241688019225523720773829977244146577129384627603451568653082784603907517431654015880830658112333637627287<190>

19948078418144625429662247897470404548598812290315462853228480428627158318213<77>
84753793902940460037043246546153482416003434907509820555707946008837232465533602652683402909433105892987969403499<113>

N=1690675327011124131462652237169154370860204741924447467861558808620854905595729860342241688019225523720773829977244146577129384627603451568653082784603907517431654015880830658112333637627287
  ( 190 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=19948078418144625429662247897470404548598812290315462853228480428627158318213 (pp77)
 r2=84753793902940460037043246546153482416003434907509820555707946008837232465533602652683402909433105892987969403499 (pp113)
Version: Msieve v. 1.48
Total time:
Scaled time: 76.71 units (timescale=0.653).
Factorization parameters were as follows:
n: 1690675327011124131462652237169154370860204741924447467861558808620854905595729860342241688019225523720773829977244146577129384627603451568653082784603907517431654015880830658112333637627287
m: 10000000000000000000000000000000000000000
deg: 5
c5: 67
c0: 41
skew: 0.91
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8100000, 18340001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3195366 x 3195595
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,201.000,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time:

372901108609922337995585424455629642421636046930384430036588225801444824632183942148863344462147653501278931710765536116352791669738635349091133314845579919284184921857749227492491018901<186>

120149245644936404423895101641935430030580933374589192919027742752209<69>
3103649187377465339005826048580582298585861682949225327631507341859930655399400177636448705063444506776727327005414789<118>

Number: n
N=372901108609922337995585424455629642421636046930384430036588225801444824632183942148863344462147653501278931710765536116352791669738635349091133314845579919284184921857749227492491018901  ( 186 digits)
SNFS difficulty: 202 digits.
Divisors found:

Sun Aug 29 07:49:59 2021  p69 factor: 120149245644936404423895101641935430030580933374589192919027742752209
Sun Aug 29 07:49:59 2021  p118 factor: 3103649187377465339005826048580582298585861682949225327631507341859930655399400177636448705063444506776727327005414789
Sun Aug 29 07:49:59 2021  elapsed time 02:02:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 67x10^201+41 = 74(200)9
#
n: 372901108609922337995585424455629642421636046930384430036588225801444824632183942148863344462147653501278931710765536116352791669738635349091133314845579919284184921857749227492491018901
m: 10000000000000000000000000000000000000000
deg: 5
c5: 670
c0: 41
skew: 0.57
# Murphy_E = 8.473e-12
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 11155711 hash collisions in 68475408 relations (59730025 unique)
Msieve: matrix is 2283565 x 2283792 (786.3 MB)

Sieving start time : 2021/08/28 14:16:30
Sieving end time  : 2021/08/29 05:46:23

Total sieving time: 15hrs 29min 53secs.

Total relation processing time: 1hrs 42min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 2sec.

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

2861468952701366008624272504065774963267743161928621083702653175858665965190514376680965259971052565590884363408678791042302383784876140995008263112944820408858058519703<169>

46770980994399444026107838003234618349020167471<47>
61180434788058229057924867275104332116892147298907081926978068328300661632171451646117074441716788992330970767127707251993<122>

Number: n
N=2861468952701366008624272504065774963267743161928621083702653175858665965190514376680965259971052565590884363408678791042302383784876140995008263112944820408858058519703  ( 169 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sat Feb 12 22:22:15 2022  p47 factor: 46770980994399444026107838003234618349020167471
Sat Feb 12 22:22:15 2022  p122 factor: 61180434788058229057924867275104332116892147298907081926978068328300661632171451646117074441716788992330970767127707251993
Sat Feb 12 22:22:15 2022  elapsed time 02:43:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 67x10^202+41 = 74(201)9
#
n: 2861468952701366008624272504065774963267743161928621083702653175858665965190514376680965259971052565590884363408678791042302383784876140995008263112944820408858058519703
m: 10000000000000000000000000000000000000000
deg: 5
c5: 6700
c0: 41
skew: 0.36
# Murphy_E = 6.784e-12
type: snfs
lss: 1
rlim: 17500000
alim: 17500000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17500000/17500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 50350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5722986 hash collisions in 32686248 relations (28259060 unique)
Msieve: matrix is 2610830 x 2611055 (911.0 MB)

Sieving start time : 2022/02/11 23:40:00
Sieving end time  : 2022/02/12 19:38:24

Total sieving time: 19hrs 58min 24secs.

Total relation processing time: 2hrs 28min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 12sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17500000,17500000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

85125398980698516461692922522496161953656702985014910570891818178740095480248517947160786690826127604804665157234777305054945369509335570449094314651<149>

74166559750577285670148269613828612669607<41>
1147759843074505436414210703402843165195624607888430778649899352346149398465672267636480214236755017009811693<109>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 85125398980698516461692922522496161953656702985014910570891818178740095480248517947160786690826127604804665157234777305054945369509335570449094314651 (149 digits)
Using B1=37810000, B2=192391008826, polynomial Dickson(12), sigma=1:3179331110
Step 1 took 77669ms
Step 2 took 28109ms
********** Factor found in step 2: 74166559750577285670148269613828612669607
Found prime factor of 41 digits: 74166559750577285670148269613828612669607
Prime cofactor 1147759843074505436414210703402843165195624607888430778649899352346149398465672267636480214236755017009811693 has 109 digits

957773058135237539812741860141438220806271275866404603886643311128653383933214629651062986996453880525892404507987899593198297447211840095113015142607497594411377402495996068419851274040440005261<195>

494350309676042213701585920682925750081<39>
1937437965322375653307635671762612646522093173898394116741994435704162361404200420294046825921989060174346660649111662868904683491824919536386187754338632781<157>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2622211840
Step 1 took 16136ms
Step 2 took 5757ms
********** Factor found in step 2: 494350309676042213701585920682925750081
Found probable prime factor of 39 digits: 494350309676042213701585920682925750081
Probable prime cofactor 

975250411499252948437665466855165270448146342579293373803960207464688262180629218077996769523392382825848785976981358308581153256802000050535041702818225387065023163313242192266523899<183>

34386710197311356730818866679003<32>
28361259507037874705349460150797908085868987655940428956531652708795931055180507986308884176014255655472727800863025708726607524207903908790577387905633<152>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2140438974
Step 1 took 5310ms
Step 2 took 2774ms
********** Factor found in step 2: 34386710197311356730818866679003
Found probable prime factor of 32 digits: 34386710197311356730818866679003
Probable prime cofactor 

4633810329701071216205277138206385214725127689178166895104064115083720527088823073648649498732303055007481697095888102496675019555587622479974984969818333086377746582902754657175076063<184>

694655320172742523865290004737138232659917662393939<51>
6670661254777066063792161607663720634180447166680353849509444686937036546798215952903909651012581233778641065490570313130311455806917<133>

09/11/24 11:12:04 v1.34.5 @ RYZEN-9,
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, ****************************
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, Starting factorization of 670000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000041
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, using pretesting plan: normal
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, no tune info: using qs/gnfs crossover of 125 digits
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, ****************************
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, div: found prime factor = 3
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, rho: x^2 + 3, starting 1000 iterations on C209
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C209
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, prp9 = 248352701
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, rho: x^2 + 2, starting 1000 iterations on C201
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, rho: x^2 + 1, starting 1000 iterations on C201
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, pm1: starting B1 = 150K, B2 = gmp-ecm default on C201
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, scheduled 30 curves at B1=2000 toward target pretesting depth of 61.85
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, prp17 = 64688212748322923 (curve 8 stg2 B1=2000 sigma=1966460139 thread=0)
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, Finished 8 curves using Lenstra ECM method on C201 input, B1=2K, B2=gmp-ecm default
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 0.00
09/11/24 11:12:04 v1.34.5 @ RYZEN-9, scheduled 22 curves at B1=2000 toward target pretesting depth of 56.62
09/11/24 11:12:05 v1.34.5 @ RYZEN-9, Finished 22 curves using Lenstra ECM method on C184 input, B1=2K, B2=gmp-ecm default
09/11/24 11:12:05 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 15.18
09/11/24 11:12:05 v1.34.5 @ RYZEN-9, scheduled 74 curves at B1=11000 toward target pretesting depth of 56.62
09/11/24 11:12:07 v1.34.5 @ RYZEN-9, Finished 74 curves using Lenstra ECM method on C184 input, B1=11K, B2=gmp-ecm default
09/11/24 11:12:07 v1.34.5 @ RYZEN-9, current ECM pretesting depth: 20.24
09/11/24 11:12:07 v1.34.5 @ RYZEN-9, scheduled 214 curves at B1=50000 toward target pretesting depth of 56.62
09/11/24 11:12:41 v1.34.5 @ RYZEN-9, nfs: commencing nfs on c210: 670000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000041
09/11/24 11:12:41 v1.34.5 @ RYZEN-9, nfs: input divides 67*10^208 + 41
09/11/24 11:12:41 v1.34.5 @ RYZEN-9, nfs: using supplied cofactor: 4633810329701071216205277138206385214725127689178166895104064115083720527088823073648649498732303055007481697095888102496675019555587622479974984969818333086377746582902754657175076063
09/11/24 11:12:41 v1.34.5 @ RYZEN-9, nfs: commencing snfs on c184: 4633810329701071216205277138206385214725127689178166895104064115083720527088823073648649498732303055007481697095888102496675019555587622479974984969818333086377746582902754657175076063
09/11/24 11:12:41 v1.34.5 @ RYZEN-9, gen: best 3 polynomials:
n: 4633810329701071216205277138206385214725127689178166895104064115083720527088823073648649498732303055007481697095888102496675019555587622479974984969818333086377746582902754657175076063
# 67*10^208+41, difficulty: 212.83, anorm: 3.31e+033, rnorm: 2.10e+047
# scaled difficulty: 215.13, suggest sieving rational side
# size = 5.429e-015, alpha = 0.349, combined = 3.448e-012, rroots = 1
type: snfs
size: 212
skew: 0.2277
c5: 67000
c0: 41
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
n: 4633810329701071216205277138206385214725127689178166895104064115083720527088823073648649498732303055007481697095888102496675019555587622479974984969818333086377746582902754657175076063
# 67*10^208+41, difficulty: 210.43, anorm: 2.34e+033, rnorm: 2.96e+047
# scaled difficulty: 212.78, suggest sieving rational side
# size = 5.027e-015, alpha = 0.580, combined = 3.274e-012, rroots = 1
type: snfs
size: 210
skew: 0.4554
c5: 8375
c0: 164
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
n: 4633810329701071216205277138206385214725127689178166895104064115083720527088823073648649498732303055007481697095888102496675019555587622479974984969818333086377746582902754657175076063
# 67*10^208+41, difficulty: 211.22, anorm: 2.10e+039, rnorm: 5.02e+040
# scaled difficulty: 211.22, suggest sieving algebraic side
# size = 8.762e-011, alpha = -0.978, combined = 3.073e-012, rroots = 0
type: snfs
size: 211
skew: 0.9926
c6: 1072
c0: 1025
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
09/11/24 11:12:43 v1.34.5 @ RYZEN-9, test: fb generation took 2.0010 seconds
09/11/24 11:12:43 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 0 on the rational side over range 23800000-23802000
skew: 0.2277
c5: 67000
c0: 41
Y1: -1
Y0: 100000000000000000000000000000000000000000
m: 100000000000000000000000000000000000000000
rlim: 23800000
alim: 23800000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/11/24 11:16:02 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/11/24 11:16:04 v1.34.5 @ RYZEN-9, test: fb generation took 1.7824 seconds
09/11/24 11:16:04 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 1 on the rational side over range 21400000-21402000
skew: 0.4554
c5: 8375
c0: 164
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
rlim: 21400000
alim: 21400000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
09/11/24 11:19:11 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/11/24 11:19:13 v1.34.5 @ RYZEN-9, test: fb generation took 2.6719 seconds
09/11/24 11:19:13 v1.34.5 @ RYZEN-9, test: commencing test sieving of polynomial 2 on the algebraic side over range 22600000-22602000
skew: 0.9926
c6: 1072
c0: 1025
Y1: -1
Y0: 50000000000000000000000000000000000
m: 50000000000000000000000000000000000
rlim: 22600000
alim: 22600000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
09/11/24 11:21:57 v1.34.5 @ RYZEN-9, nfs: parsing special-q from .dat file
09/11/24 11:21:57 v1.34.5 @ RYZEN-9, gen: selected polynomial:
n: 4633810329701071216205277138206385214725127689178166895104064115083720527088823073648649498732303055007481697095888102496675019555587622479974984969818333086377746582902754657175076063
# 67*10^208+41, difficulty: 210.43, anorm: 2.34e+033, rnorm: 2.96e+047
# scaled difficulty: 212.78, suggest sieving rational side
# size = 5.027e-015, alpha = 0.580, combined = 3.274e-012, rroots = 1
type: snfs
size: 210
skew: 0.4554
c5: 8375
c0: 164
Y1: -1
Y0: 200000000000000000000000000000000000000000
m: 200000000000000000000000000000000000000000
09/13/24 15:14:43 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/13/24 15:18:58 v1.34.5 @ RYZEN-9, nfs: raising min_rels by 5.00 percent to 47238676
09/13/24 18:26:12 v1.34.5 @ RYZEN-9, nfs: commencing msieve filtering
09/13/24 18:33:43 v1.34.5 @ RYZEN-9, nfs: commencing msieve linear algebra
09/14/24 04:37:16 v1.34.5 @ RYZEN-9, nfs: commencing msieve sqrt
09/14/24 04:44:41 v1.34.5 @ RYZEN-9, prp133 = 6670661254777066063792161607663720634180447166680353849509444686937036546798215952903909651012581233778641065490570313130311455806917
09/14/24 04:44:41 v1.34.5 @ RYZEN-9, prp51 = 694655320172742523865290004737138232659917662393939
09/14/24 04:44:41 v1.34.5 @ RYZEN-9, NFS elapsed time = 235920.7053 seconds.
09/14/24 04:44:41 v1.34.5 @ RYZEN-9,
09/14/24 04:44:41 v1.34.5 @ RYZEN-9,
09/11/24 11:21:57 v1.34.5 @ RYZEN-9, test: test sieving took 556.53 seconds

YAFU

74083788379901674123219956599954631293885259801284557655020715832085626561709788748485643787107717929438251252984280585669208494627673994020562141412513702854582526131504879<173>

150144763779790944666046485417944609<36>
493415731024468399970512740361153041030342828433966881027920995583429951382578557373876592913731079098736480159927247052701814229903158031<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=332925537
Step 1 took 12142ms
Step 2 took 5829ms
********** Factor found in step 2: 150144763779790944666046485417944609
Found probable prime factor of 36 digits: 150144763779790944666046485417944609
Probable prime cofactor

3110429635343165077242046514531191407858237013947243027302427029893492972478071076202590184038003345037296420945182163472846434743849207762641626269787000798553538879<166>

28359147086752815230961251023499264269<38>
109679942976709463427838795113962597805314571367252984951767796790806895967202510546470493331181349350323765484822334904700141691<129>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4230321739
Step 1 took 19378ms
********** Factor found in step 1: 28359147086752815230961251023499264269
Found probable prime factor of 38 digits: 28359147086752815230961251023499264269

15853428773987454414388982616244578123677398787837446056690692580988678747920424395794205909216316480452776810474566937214433568216763086080760547504980551297010529426118500071357<179>

12138690180603780282599260206391736434096137848870206022207123205018255945225533882482083986228113728947472418806428551491009964271914341517696102340029130647570329111520480451238090443779483601690771<200>

500860357555203727446754125798895133627339416280787753641126223610692043679422595648896518208625815051028687727421978318968994841977754712702807593213624819760494911969714300768042881864015170165545831<201>

2039595446950764954825765911662590957735296203182121<52>
245568481879090163876718643773785389196317620837578614493824606025336288289435239413771402521744082332470470330581675627847397225477205272127602442511<150>

Number: n
N=500860357555203727446754125798895133627339416280787753641126223610692043679422595648896518208625815051028687727421978318968994841977754712702807593213624819760494911969714300768042881864015170165545831
  ( 201 digits)
SNFS difficulty: 219 digits.
Divisors found:

Sat Sep 14 15:38:13 2019  p52 factor: 2039595446950764954825765911662590957735296203182121
Sat Sep 14 15:38:13 2019  p150 factor: 245568481879090163876718643773785389196317620837578614493824606025336288289435239413771402521744082332470470330581675627847397225477205272127602442511
Sat Sep 14 15:38:13 2019  elapsed time 06:05:51 (Msieve 1.54 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 67x10^218+41 = 74(217)9
#
n: 500860357555203727446754125798895133627339416280787753641126223610692043679422595648896518208625815051028687727421978318968994841977754712702807593213624819760494911969714300768042881864015170165545831
m: 1000000000000000000000000000000000000
deg: 6
c6: 6700
c0: 41
skew: 0.43
# Murphy_E = 2.484e-12
type: snfs
lss: 1
rlim: 32000000
alim: 32000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 32000000/32000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 70400000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13122249 hash collisions in 70895158 relations (60141076 unique)
Msieve: matrix is 3766481 x 3766707 (1324.7 MB)

Sieving start time: 2019/09/13 01:53:45
Sieving end time  : 2019/09/14 09:21:51

Total sieving time: 31hrs 28min 6secs.

Total relation processing time: 5hrs 36min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 18sec.

Prototype def-par.txt line would be:
snfs,219,6,0,0,0,0,0,0,0,0,32000000,32000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.048000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284064K/16703460K available (12300K kernel code, 2481K rwdata, 4172K rodata, 2436K init, 2384K bss, 419396K reserved, 0K cma-reserved)
[    0.080573] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.87 BogoMIPS (lpj=11977744)
[    0.078218] smpboot: Total of 16 processors activated (95821.95 BogoMIPS)

61502271166436715129493652275797492190429417626484767148604328082077387594830354947930768955981739353063939797617351125069508260643968941008377567211906787724279687922315027781124161931924141144075788871<203>

113503792342436377677998242956357395212241941632882895361288528194843<69>
541852125794060130920142859128602370987211979819887564022725468911706386448623419994956941395896118928470787976496851751950983958793797<135>

Number: 74449_219
N = 61502271166436715129493652275797492190429417626484767148604328082077387594830354947930768955981739353063939797617351125069508260643968941008377567211906787724279687922315027781124161931924141144075788871 (203 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=113503792342436377677998242956357395212241941632882895361288528194843 (pp69)
r2=541852125794060130920142859128602370987211979819887564022725468911706386448623419994956941395896118928470787976496851751950983958793797 (pp135)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 70.55 hours.
Factorization parameters were as follows:
n: 61502271166436715129493652275797492190429417626484767148604328082077387594830354947930768955981739353063939797617351125069508260643968941008377567211906787724279687922315027781124161931924141144075788871
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 67
c0: 410
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: 8593146 relations
Pruned matrix : 7328152 x 7328377
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 30.92 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 38.98 hours.
time per square root: 0.25 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: 70.55 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.19041-SP0
processors: 8, speed: 3.50GHz

GGNFS, NFS_factory, Msieve

32540626218585981999524928803792454118804038655349314260704699923114616388070684660427298632595995121026552644938424382056970755325755516399678406400167535653249<161>

886067069984514492261161688019527658345873<42>
36724789037871234741155754964525431203252983343622340628255139892684347988642893349680479115569941530306950596026115313<119>

Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1818271368
Step 1 took 44648ms
Step 2 took 25923ms
********** Factor found in step 2: 886067069984514492261161688019527658345873
Found probable prime factor of 42 digits: 886067069984514492261161688019527658345873
Probable prime cofactor

140089050921324909884386065069576025016535925850567327121158588573727548449131732811598382785839302789337314473480617236868675497877613535147549335881806818057657844850794538248020418171964187838966340121758727<210>

19453072965830277380894548535271374827<38>

7201384129252699974681586989663656096667164819705629630799175378465737665664824029347595698282158306947751140305382039037576523415210402895903450564806558839810344252815701<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1076328349
Step 1 took 17561ms
Step 2 took 7110ms
********** Factor found in step 2: 19453072965830277380894548535271374827
Found probable prime factor of 38 digits: 19453072965830277380894548535271374827
Composite cofactor 

91215794382012959695720070812364218160033125230255610368670592511077096297073003431187549618521917503710737685398144558692818334833166572140489572130000809931871761579567262982342027454569119<191>

5660304759441246406993259412406561201<37>

16114997029067613699832754227198930777255716785282825147898919311622666435846969505998764026290738148252639653027743768267565752258089026664832976386346319<155>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2772977423
Step 1 took 13727ms
Step 2 took 9982ms
********** Factor found in step 2: 5660304759441246406993259412406561201
Found probable prime factor of 37 digits: 5660304759441246406993259412406561201
Composite cofactor 

7470282820770061142634916890161832707926390004193612402021947078877116225679245917463403272639701660830450847857798396050930597500272352212185996373135968429097521864485551529410838842046517812664324344302355703713567703<220>

17006135436595857523386504284628170846158699874501273711556357421154104359515555418696882293015937876143168741850441575286736535364603056925895593345061923292928699964023127578501899<182>

12633942021331766360983341192276640345609677191748351015062280395986445980671693805255351185159491001932579679880401890304940452734667254661985893195319404306027490102643117415870541929116910989471251<200>

80844154105865496301919976539789068110592779058387187633408653575317228246559054793529840936367235807544766419573158168792110337529207314155622341345648910715357715956998829846871932963968531913041418146171368209066786778201979<227>

409612666532064126882711839153516323<36>
197367319693315893884284324506341534757172220645820330984767086506042759509569369099043253069611041546007111323831707795643212058468076534881815264271478028010344314290531677590936029612924873<192>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4181904889
Step 1 took 6707ms
Step 2 took 3392ms
********** Factor found in step 2: 409612666532064126882711839153516323
Found probable prime factor of 36 digits: 409612666532064126882711839153516323
Probable prime cofactor 

106349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349206349207<237>

296054285986593929971413841349209237<36>
359221978478710840908555783785642221162570966999707936650038256266835708836385762406050327513551172050058040586038525885815501628764520887424922076340850864763208758850571841422614609643893511462834811<201>

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=86561521
Step 1 took 20898ms
Step 2 took 13213ms
********** Factor found in step 2: 296054285986593929971413841349209237
Found probable prime factor of 36 digits: 296054285986593929971413841349209237
Probable prime cofactor 

190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883190883191<237>

594190818084578894750093540711249956655110098680905252371907757817400549972378995478739985556728860708280776268621785039676426738622287884741880404642173411663646492292059154090440631513096276028772670485983348999573335518536580736919<234>

10889002836688193382674548236551<32>

54567973486293761535656007062792554419472623509324304324519986429166511826724164716547325420667418630409808409411962564560668069701775473287789092812374521324659983799898697846992736219219433737642569969<203>

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=362728408
Step 1 took 6945ms
Step 2 took 3053ms
********** Factor found in step 2: 10889002836688193382674548236551
Found probable prime factor of 32 digits: 10889002836688193382674548236551
Composite cofactor 

19336320958293925179284384457968429245858869204299566406358572250650164083949934636849390228885007038800227353665265881945248005519487719303979000286014525047301464574792047321363789424473765069843050953103<206>